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(o) = -o**2 - 1. Let b(q) = -6*q**3 - 9*q**2 - 3*q - 8. Let g(c) = b(c) - 3*x(c). Give -6*g(u) - 5*z(u).
u**3 + u**2 - 2*u
Let j(z) = -6*z**3 - 7*z**2 + 188*z. Let x(f) = 3*f**3 + 4*f**2 - 94*f. Determine 4*j(h) + 7*x(h).
-3*h**3 + 94*h
Let t be (375/(-150))/(1/(-2)). Let p(u) = -2*u**2 - 2*u - 4. Let a(s) = -4*s**2 - 5*s - 9. Give t*p(g) - 2*a(g).
-2*g**2 - 2
Let i(c) = 9*c**2 + 62*c + 5. Let v(u) = -11*u**2 - 63*u - 6. Determine -5*i(y) - 4*v(y).
-y**2 - 58*y - 1
Let w be ((-8)/14 + 1)/((-324)/(-1512)). Let l(k) = k + 1. Let z(i) = 4*i - 4. Determine w*z(d) - 6*l(d).
2*d - 14
Let m(s) = -11*s**2 - 15*s + 9. Let h(a) = a**3 + 4*a**2 - 2*a - 4. Let c be h(-4). Let v(l) = 3*l**2 + 4*l**2 + c - 7*l - 12*l**2. Calculate -4*m(t) + 9*v(t).
-t**2 - 3*t
Let h(t) = 9*t**2 + t - 4. Let v(m) = -8*m**2 + 3. Give 5*h(n) + 6*v(n).
-3*n**2 + 5*n - 2
Let w(s) = -25*s**3 + 6*s**2 - 5*s - 14. Let k(o) = 76*o**3 - 17*o**2 + 14*o + 41. Calculate 6*k(g) + 17*w(g).
31*g**3 - g + 8
Let a(i) = -4*i - 1. Let x(q) = 4*q + 1. Let m = -1136 + 1134. Give m*a(o) - 3*x(o).
-4*o - 1
Let x(o) = -8*o**3 - 14*o**2 - 45. Let p(w) = 3*w**3 + 4*w**2 + 15. What is 7*p(v) + 2*x(v)?
5*v**3 + 15
Let u(n) = 5*n**3 - 2*n**2 - 6*n - 4. Suppose -24 = -h - 3*h. Let y(v) = -6*v**3 + 2*v**2 + 7*v + 5. What is h*y(f) + 7*u(f)?
-f**3 - 2*f**2 + 2
Suppose -29 = -4*l - 5. Let f(z) = 0 + 61*z**2 - 8*z - 70*z**2 - l. Let m(s) = -8*s**2 - 7*s - 5. Give 5*f(h) - 6*m(h).
3*h**2 + 2*h
Suppose -3*b - 196 + 43 = 0. Let n = b + 55. Let y(l) = l**3 - l**2. Let x(a) = -2*a**3 + 3*a**2 + 2*a. Determine n*y(m) + x(m).
2*m**3 - m**2 + 2*m
Let f(l) = -l + 1. Let w(j) = 5*j - 6. Let b(o) = -3*f(o) - w(o). Let k(s) = -10*s + 16. Suppose 13*t = 22*t + 603. Let d = -78 - t. Determine d*b(r) + 2*k(r).
2*r - 1
Let g(t) = t**3 - 2*t**2 - 2*t + 2. Suppose 0 = 9*w - 28 + 226. Let u(j) = 6*j**3 - 11*j**2 - 11*j + 11. Give w*g(l) + 4*u(l).
2*l**3
Let h(j) = -j - 1. Let u = -134 + 135. Let k(t) = 14 - 20 + u. Calculate -4*h(q) + k(q).
4*q - 1
Let s(h) = 3*h**3 + 14*h**2 - 5*h + 7. Let a(t) = -4*t**3 - 11*t**2 + 4*t - 6. Give 5*a(i) + 4*s(i).
-8*i**3 + i**2 - 2
Let p(i) = i. Let a(d) = -5*d. Let u(g) = 2*g**3 + 8*g**2 + 12*g + 7. Let q be u(-2). Calculate q*a(v) + 6*p(v).
11*v
Let w(r) = 4*r**2 + 48*r + 4. Let d(x) = -5*x**2 - 52*x - 4. Calculate 6*d(n) + 7*w(n).
-2*n**2 + 24*n + 4
Let s(h) = 7 - 3 - 3*h - h + 3*h. Let f(u) be the second derivative of u**2/2 + 3*u. Suppose 5*l - 22 + 2 = 5*b, 2*b + l - 1 = 0. Calculate b*s(k) + 6*f(k).
k + 2
Let n(p) = -p**3 - 3*p**2 + 4*p + 6. Suppose -10 = 5*r, f + 4*r - 7 = 5. Let z(d) = 2 - f*d - d**2 - 1 + 21*d. Give n(v) - 4*z(v).
-v**3 + v**2 + 2
Let f(g) = -2*g + 7*g**2 + 0*g + 2*g**2. Let k(l) = 13*l**2 - 3*l. Let y(z) = z**3 + 8*z**2 - 10*z - 75. Let s be y(-8). Give s*k(m) - 7*f(m).
2*m**2 - m
Let n(t) = -7*t**2 - 11*t + 4. Let o(g) = 168*g + 498. Let f be o(-3). Let c(q) = -3*q**2 - 6*q + 2. Give f*n(w) + 11*c(w).
9*w**2 - 2
Let f(r) = -r**3 + 11*r**2 - 22*r + 247. Let y be f(11). Let h(b) = -15*b**2 + 6*b + 6. Let n(d) = 15*d**2 - 5*d - 5. What is y*h(w) + 6*n(w)?
15*w**2
Let t(d) = 22*d. Let j(b) = -19*b. Let s(c) = 7*j(c) + 6*t(c). Let o(a) = 16*a**2 + 40*a. What is -o(x) - 40*s(x)?
-16*x**2
Let z(v) be the first derivative of -5*v**2/2 + 8*v - 2. Let o(s) = -2*s + 3. Suppose k = 7*k - 36. Suppose k*t = 8 + 10. What is t*z(c) - 8*o(c)?
c
Suppose 1 = -s + 7. Let l(k) be the first derivative of 5*k**4/4 + 3*k**2/2 - 3*k + 278. Let h(w) = -4*w**3 - 2*w + 2. Determine s*h(a) + 4*l(a).
-4*a**3
Let m be 7 + -5 + 5 - 16. Let a(s) = -8*s**3 + 13*s**2 + 8*s. Let p(i) = -2*i**3 + 3*i**2 + 2*i. What is m*p(r) + 2*a(r)?
2*r**3 - r**2 - 2*r
Let x(b) = b**2 + 1. Let y(t) be the third derivative of 29*t**5/60 + 2*t**3/3 + 462*t**2. What is 4*x(n) - y(n)?
-25*n**2
Let i(y) = 4*y + 5. Let l(d) be the third derivative of -d**4/12 - d**3/3 - 706*d**2. Calculate -3*i(o) - 5*l(o).
-2*o - 5
Let h(m) = -38*m**3 + 5*m**2 + 6*m. Let c(i) = -114*i**3 + 14*i**2 + 16*i. What is -3*c(j) + 8*h(j)?
38*j**3 - 2*j**2
Let r(o) = -o + 3. Let d(l) be the third derivative of -l**4/6 + 13*l**3/6 - 401*l**2. Suppose 4*x - 2*p = 0, 2 = 5*x - 5*p + 3*p. Determine x*d(z) - 9*r(z).
z - 1
Let d(b) = 227*b**2 + 4*b. Let i(o) = 228*o**2 + 3*o. Calculate 2*d(n) - 3*i(n).
-230*n**2 - n
Let v(n) be the second derivative of n**4/12 + n**3/6 + n**2/2 - 540*n. Let a(j) = -19*j**2 - 4*j - 3. What is -a(r) - 4*v(r)?
15*r**2 - 1
Let f(v) = -67*v - 7. Let g(q) = -33*q - 3. Calculate -2*f(x) + 5*g(x).
-31*x - 1
Let u be 72/27*(-33)/4. Let c be 3*(-1 - u) + -3. Let j be (-16)/(-56) - c/14. Let t(d) = -3*d - 10. Let i(v) = -v - 3. Determine j*t(g) + 14*i(g).
-2*g - 2
Let r(j) = -8*j**3. Let m(k) = -17*k**3 + k. Determine 6*m(t) - 13*r(t).
2*t**3 + 6*t
Let b(a) = 59*a**3 - 2*a**2 - a - 10. Let z(n) = 29*n**3 - n**2 - n - 6. Give -3*b(l) + 5*z(l).
-32*l**3 + l**2 - 2*l
Let h(c) be the third derivative of -c**4/24 - 5*c**3/6 + 20*c**2 + c. Let b(i) = i**2 + 7*i + 7. Let y be b(-6). Let p(s) = 1. Calculate y*h(o) + 6*p(o).
-o + 1
Let f(r) = 3*r**2 - 9*r + 6. Let x(q) = 11*q**2 - 16*q + 3. Let i(w) = -5*w**2 + 8*w - 2. Let c(z) = -7*i(z) - 3*x(z). Determine -6*c(a) + 5*f(a).
3*a**2 + 3*a
Let d(t) = t. Let h be (6/9)/(3/(-9)). Let i(s) = -3*s**2 - 1. What is h*d(c) - i(c)?
3*c**2 - 2*c + 1
Let v(q) = q**3 + 9*q**2 + 3*q + 3. Let m(z) be the second derivative of z**5/20 + 17*z**4/12 + 5*z**3/6 + 5*z**2/2 - 5*z + 7. Determine -3*m(y) + 5*v(y).
2*y**3 - 6*y**2
Let s(b) = 87*b**2 - 6*b + 6. Let l(j) = -174*j**2 + 13*j - 13. What is 6*l(h) + 13*s(h)?
87*h**2
Let o(r) = 237*r**2 + 4*r + 8. Let h(j) = -51429*j**2 - 869*j - 1738. What is 4*h(a) + 869*o(a)?
237*a**2
Let v(y) be the first derivative of 5/2*y**2 - y**4 + 5/3*y**3 - 5*y + 15. Let i(j) = -12*j**3 + 16*j**2 + 16*j - 16. Give -5*i(t) + 16*v(t).
-4*t**3
Let w(s) = 2*s. Let g(y) = -352*y. What is 2*g(n) + 288*w(n)?
-128*n
Let z(h) = -3*h + 25. Let c(q) = 8*q - 73. Give -6*c(s) - 17*z(s).
3*s + 13
Let g(q) = 130*q**2 - 33*q - 12. Let n(m) = 43*m**2 - 12*m - 4. What is -4*g(b) + 11*n(b)?
-47*b**2 + 4
Suppose 2*n + 3*n = -75. Let x(d) = -2 + 4*d**2 - 5*d**2 + 10 + 2*d**3 - d**3 + d - 9. Let s(i) = -6*i**3 + 5*i**2 - 5*i + 5. Give n*x(m) - 3*s(m).
3*m**3
Let f be ((-36)/(-15))/(4/20) - -3. Suppose -5*u = 4*r + f - 4, -2*u = -2*r + 8. Let g(p) = p - 1. Let c(o) = 5*o - 8. Determine r*c(l) - 6*g(l).
-l - 2
Let w be ((-5)/(-2))/(19/(-152)*4). Let p be (16/2)/2*-2. Let u(d) = 3*d**2 - 5*d - 5. Let o(g) = -2*g**2 + 3*g + 3. Determine p*o(y) + w*u(y).
y**2 + y + 1
Suppose 0 = 2*u + 28 - 6. Let y(m) = m + 1. Let f(o) = -6*o - 6. Determine u*y(q) - 2*f(q).
q + 1
Let d(l) = 71*l - 470. Let o(x) = 32*x - 235. What is -4*d(m) + 9*o(m)?
4*m - 235
Let i(s) = 0*s + 2 - 4 + 5*s - 6*s. Let n(d) = -d - 2. What is -3*i(z) + 2*n(z)?
z + 2
Let u(k) = 6*k - 12. Let w(n) = -14 - 25 - 19 + 81 - 22. Let d be ((-3)/(-2))/((-3)/24). Determine d*w(g) - u(g).
-6*g
Let a(r) = r. Let f(w) = 12*w + 8*w + 1 + 3*w + 10*w - 35*w. Give 2*a(d) - f(d).
4*d - 1
Let p(u) = -7. Let z(f) = -f - 6. Suppose -y = 3*i + 64 - 84, -3 = 3*y. What is i*z(j) - 6*p(j)?
-7*j
Let g(l) = -7*l - 6. Let j(r) = 65*r + 55. Let t(o) = 55*g(o) + 6*j(o). Let f(x) = -10*x. Give 4*f(b) + 10*t(b).
10*b
Let v(k) = -k**3 - k**2. Suppose -3*h + 9*h = 24. Let z(t) = -168*t + 5*t**2 + 168*t + h*t**3. Let l = 4 - -1. Determine l*v(o) + z(o).
-o**3
Let p(i) = 3*i**2 - 5*i - 4. Let v(a) = 7*a**2 - 10*a - 9. Suppose 2*n - g - 3 = 0, 5*n + g + 9 = 34. What is n*v(r) - 9*p(r)?
r**2 + 5*r
Let i = 172 - 178. Let s(a) = a**2 + a + 1. Let g(k) = -5*k**2 - 5*k - 3. Give i*s(y) - g(y).
-y**2 - y - 3
Let v(z) = 9*z - 6. Let a(s) = -26*s + 17. Let m be (-36 + 39)*((-6)/9 + 2). Calculate m*a(t) + 11*v(t).
-5*t + 2
Let a = 36 + -40. Let y(t) = 4*t**2 + 2*t + 1. Let k(h) = -3*h**2 - h - 1. What is a*y(g) - 5*k(g)?
-g**2 - 3*g + 1
Let u(l) = -l - 1. Let k be ((-1)/2)/((-6)/(-24)). Let b be (2 - 9/6)*k. Let q(j) = -2*j - 6. Give b*q(c) + 3*u(c).
-c + 3
Let z(i) = -i**3 - 5*i**2. Let j(w) = w**2 - 4*w + 2. Let y(l) = -2*l + 1. Let b(q) = j(q) - 2*y(q). Give -30*b(f) - 6*z(f).
6*f**3
Let r(v) = -13*v**2 + 5*v + 8. Let d(h) = 7*h**2 - 3*h - 4. Let f(m) = -7*d(m) - 4*r(m). Let | {
"pile_set_name": "DM Mathematics"
} |
q.
60
Solve -189*r = 88*r + 334*r - 15275 for r.
25
Solve 132*y + 527*y - 237*y + 19669 + 5229 = 0 for y.
-59
Solve 211*k = -449*k + 6430 + 3470 for k.
15
Solve 2985 + 2508 = 103*p - 481 for p.
58
Solve -109*f + 220 - 12 = 535 for f.
-3
Solve -200*t - 486*t = 859*t + 205485 for t.
-133
Solve -486597*z = -486711*z + 6612 for z.
58
Solve 323*c + 68*c = -275*c - 1314*c - 57420 for c.
-29
Solve 220173*x - 221314*x - 26243 = 0 for x.
-23
Solve 1207 - 3966 - 2780 = -107*n + 1202 for n.
63
Solve -27*c - 17 - 670 - 204 = 0 for c.
-33
Solve -27090 + 5490 = -12794*x + 13154*x for x.
-60
Solve -18871 - 7316 = -1122*n - 6138 + 34929 for n.
49
Solve -9061*c + 2787*c = 439180 for c.
-70
Solve -57*w + 299 = 40*w + 8 for w.
3
Solve -1325 + 345 = 62*k + 78*k for k.
-7
Solve 11319*q - 11141*q + 2848 = 0 for q.
-16
Solve -12636 = 49*r - 13028 for r.
8
Solve 198413 = -3167*c + 55898 for c.
-45
Solve 13367*q - 5598*q = 128748 + 7322 + 151383 for q.
37
Solve 3048*z + 2341*z + 182915 = -2300*z - 201535 for z.
-50
Solve -59*k + 79128 = 9*k + 80284 for k.
-17
Solve -2246*q + 731*q - 21210 = 0 for q.
-14
Solve -38729 + 78853 = 1433*s for s.
28
Solve 156281 - 875351 = 2988*v + 3549*v for v.
-110
Solve 32160*i - 32123*i + 2886 = 0 for i.
-78
Solve -1056*a = -488*a + 795*a - 4089 for a.
3
Solve -11884*x + 10847*x + 82960 = 0 for x.
80
Solve 390367 = 11013*c - 479660 for c.
79
Solve 8698*d - 22386 = 9559*d for d.
-26
Solve -23316*b - 62 = -23186*b - 338 - 2064 for b.
18
Solve -5*i + 2955 = -24*i + 3411 for i.
24
Solve -607018*s + 606981*s + 1554 = 0 for s.
42
Solve 316*g - 363*g = -627*g - 415*g + 27860 for g.
28
Solve -9798 = 94*r - 10*r - 3049 - 953 for r.
-69
Solve 36*x + 157*x = -349*x - 67*x + 19488 for x.
32
Solve 985*k - 10*k = -417*k - 104400 for k.
-75
Solve -48060 = -914*t + 7694 for t.
61
Solve 456*w + 403*w - 69030 = 102*w - 777*w for w.
45
Solve -4736*s + 4547*s - 5375*s = 7339*s + 1767711 for s.
-137
Solve 20014 = 92*u + 19186 for u.
9
Solve 3*j + 44493 = 44607 for j.
38
Solve -2000*o - 31103 + 26910 = 55807 for o.
-30
Solve -2340 - 5504 = 545*y - 439*y for y.
-74
Solve 125 = 19*s - 296 - 491 for s.
48
Solve -326*g - 16624 = -16298 for g.
-1
Solve 0 = -158*a - 617 + 646 - 4137 for a.
-26
Solve -3345*r + 6913*r + 1695*r + 12294*r = -1334332 for r.
-76
Solve 1989*q - 29029 - 806 = 0 for q.
15
Solve 401250 - 399057 = -43*p for p.
-51
Solve -2949*n = -2001*n + 36972 for n.
-39
Solve 68*x + 519 = 124*x + 117*x for x.
3
Solve 3519*z + 2398*z = -284016 for z.
-48
Solve -203*b - 548 = -84*b - 101*b - 170 for b.
-21
Solve -1807 = 65*y - 71*y - 771 - 790 for y.
41
Solve 1520*l - 190*l + 2813*l = -22858 - 126290 for l.
-36
Solve -331*n + 6158 = 98*n + 6258 - 24553 for n.
57
Solve -10136*r = -6077*r + 11278*r + 1257634 for r.
-82
Solve 34056*a - 34033*a - 759 = 0 for a.
33
Solve -1304416 = 797*r - 1276521 for r.
-35
Solve 460*j - 25418 - 10984 = 5918 for j.
92
Solve -10103*u + 58412 = 1135554 + 13982 for u.
-108
Solve 20*t = 205*t + 816*t + 150*t + 44889 for t.
-39
Solve -1254*t - 8169*t + 2020*t - 383040 = 3541*t for t.
-35
Solve -15*l + 350*l - 83*l + 685*l - 36543 = 0 for l.
39
Solve 3257*a + 1823*a + 3473*a = 282249 for a.
33
Solve 1267*c + 109872 = -1463*c + 1749*c for c.
-112
Solve 292*t - 6584 - 4270 = -5016 + 5258 for t.
38
Solve -2124*b + 30610 = 2042*b - 6884 for b.
9
Solve -804*h = -855*h + 6617 - 7076 for h.
-9
Solve 32*b - 2500593 = 144*b - 2489169 for b.
-102
Solve 1743*n + 58266 = 1083 - 75285 for n.
-76
Solve -22986*m + 480 = -22970*m for m.
30
Solve 1051*k - 2250*k = 1459*k - 289722 for k.
109
Solve -2709*v + 45066 - 24185 + 52262 = 0 for v.
27
Solve 19*j + 134*j - 365*j - 654*j = 107384 for j.
-124
Solve 390204*d - 390259*d = -4070 for d.
74
Solve 452*o - 35686 - 2162 + 3863 = -519*o for o.
35
Solve -212*m - 21770 = 139*m + 203*m - 243*m for m.
-70
Solve -10008 - 17286 = -417*y + 13989 for y.
99
Solve 3*s - 2*s - 25608 = -25664 for s.
-56
Solve 1657*s = -324828 + 468987 for s.
87
Solve 497*i = 519*i - 440 for i.
20
Solve 160 = 567*q - 1085*q + 558*q for q.
4
Solve -354*g + 757*g - 14105 = 0 for g.
35
Solve 14181*h - 14348*h - 10855 = 0 for h.
-65
Solve 367*q + 405 - 3501 = 5382 - 1505 for q.
19
Solve 34104*j - 34160*j = 1736 for j.
-31
Solve 0 = 469*s + 8013 + 2774 for s.
-23
Solve 231*o - 533*o - 2835 = 176*o - 74535 for o.
150
Solve -71*c - 3206 = -5478 for c.
32
Solve -377*x + 1766 = 3274 for x.
-4
Solve 497*o - 583 = -1130*o + 41719 for o.
26
Solve -3041*p + 7727*p - 599966 - 778202 = -10975*p for p.
88
Solve 0 = -216*v + 699*v - 233*v + 11651 - 1401 for v.
-41
Solve -1929*q = -27*q + 64668 for q.
-34
Solve -8637*y - 122081 = 1552*y - 238467 - 230040 for y.
34
Solve -3971*p - 124013 = 2556*p for p.
-19
Solve -758414 = -716*q - 806386 for q.
-67
Solve -1709*u + 315496 = 1113*u + 2179*u + 90451 for u.
45
Solve 85*l - 26*l + 183 + 2627 = -2618 for l.
-92
Solve 15248 - 16805 = 16323*n - 15233*n - 72407 for n.
65
Solve -4397303*v + 4397689*v + 59444 = 0 for v.
-154
Solve 211*k + 44930 + 40038 = -907*k for k.
-76
Solve -374*a - 4952 + 23762 = 369*a - 51032 for a.
94
Solve 87395 + 74524 = -5997*c for c.
-27
Solve -3363*i = 50896 + 278678 for i.
-98
Solve -80*w + 1620 + 3516 = -384 for w.
69
Solve 184*u + 1046*u - 37918 + 16213 - 36105 = 0 for u.
47
Solve 612*t + 30003 = -1645*t - 48992 for t.
-35
Solve 18*i + 26 + 400 = -204 for i.
-35
Solve 216*j - 133*j - 47734 = -301*j - 439*j for j.
58
Solve -3*l - 178*l = -58*l + 73*l - 12348 for l.
63
Solve 245 = -44*m - 209 + 61 - 135 for m.
-12
Solve 1435*p + 2591*p + 2822 = 494*p - 710 for p.
-1
Solve 10*a - 2866209 = 75*a - 2868744 for a.
39
Solve 2779 + 10232 = 498*l + 9265 - 19660 for l.
47
Solve 3754 = 267*d - 8528 for d.
46
Solve -107*r + 27145 - 7387 = -42*r + 113*r for r.
111
Solve 8291*o - 456624 = 4214*o for o.
112
Solve -72*p + 21*p - 816 = 0 for p.
-16
Solve -528*l - 283*l = 27574 for l.
-34
Solve -117*j - 329473 + 343513 = 0 for j.
120
Solve -1514*n + 54970 + 40412 = 0 for n.
63
Solve 6162128*v = 6162146*v + 2088 for v.
-116
Solve -68*g + 5238 + 8362 = -147*g - 57*g for g.
-100
Solve -132*p = 5216923 - 5214019 for p.
-22
Solve -4050 = 994*k + 1735 + 4155 for k.
-10
Solve 26*q - 51*q + 8306 - 3522 = 67*q for q.
52
Solve -2701*i = -3059*i + 20406 for i.
57
Solve 710 = 81*t + 54*t - 6040 for t.
50
Solve -7*p + 509180 - 509299 = 0 for p.
-17
Solve 46*z - 67569 = -367*z + 94*z - 350*z for z.
101
Solve 173*r + 17525 = -189*r - 13279 + 10894 for r.
-55
Solve -33*m - 840 = 32*m + 40*m for m.
-8
Solve 868*l = -942*l - 1116*l + 169708 for l.
58
Solve -74954 = 511*t - 69844 for t.
-10
Solve -198131 + 199463 = 111*u for u.
12
Solve 2006*x - 14445 = 27935 + 31842 for x.
37
Solve 4391 + 8225 + 2123 = -1462*g + 119 for g.
-10
Solve 51298886 - 51298784 = -3*x + 54*x for x.
2
Solve 230*n + 2169 = 680 - 2881 for n.
-19
Solve -34577*f + 34653*f = -3496 for f.
-46
Solve -1087 + 2257 = -45*l for l.
-26
Solve 132*a + 552 = -1386 + 3390 for a.
11
Solve 229*l - 577*l = -93*l + 4590 for l.
-18
Solve -76*l + 2349 = 55*l - 795 for l.
24
Solve -5730*b = -6304*b - 14924 for b.
-26
Solve 7116 = -4731*v + 298457 + 91870 for v.
81
Solve -7*r = 17*r - 361 - 239 for r.
25
Solve -517*q = -1522*q - 782*q - 65604 - 77356 for q.
-80
Solve -805*u = 1022*u + 325*u - 448*u + 76680 for u.
-45
Solve -23*k + 30*k - 368 = -25*k + 2096 for k.
77
Solve 124*q - 307360 = -305500 for q.
15
Solve -78*x - 29 = -1121 for x.
14
Solve 495*s + 12948 - 2238 = 765*s - 576*s for s.
-35
Solve 97*d + 8773 = -201*d + 15*d for d.
-31
Solve 0 = -74*o - 114958 + 107484 for o.
-101
Solve 0 = 158*u + 83*u + 13*u + 11*u + 16960 for u.
-64
Solve 911*f - 52*f = 374*f + 5820 for f.
12
Solve 2220*d = -44003 - 91417 for d.
-61
Solve -184*n - 36825 = n - 33865 for n.
-16
Solve 130*b = 4*b - 66*b - 30*b + 13986 for b.
63
Solve 35*k - 32*k - 71*k = 40*k - 3564 for k.
33
Solve 247*f - 12194 = -357*f - 418*f + 151*f for f.
14
Solve -110*t + 4708 + 7609 = 3*t for t.
109
Solve -1392*o - 50719 = 24449 for o.
-54
Solve 531*y - 222*y + 19190 = -196*y for y.
-38
Solve 797*n - 282*n - 242*n - 6552 = 0 for n.
24
Solve -562*x - 132*x + 3*x = -47679 for x.
69
Solve 2931*p - 5975*p + 940 = -2879*p - 50 for p.
6
Solve -3865 = 1034*z + 30257 for z.
-33
Solve 4036*y - 124776 = 570*y for | {
"pile_set_name": "DM Mathematics"
} |
et i(k) = -2*k**2 + k**2 + 3*k**2. Determine s(i(x)).
-2*x**2
Let d(c) = 2*c**2 + 4*c + 4. Let p(q) = -q**2 - q - 1. Let x = 4 + -3. Let y(l) = x*d(l) + 4*p(l). Let z(r) = r. Determine y(z(u)).
-2*u**2
Let r(t) = t**2. Let a(y) be the first derivative of 4*y**2 - 3. Give r(a(m)).
64*m**2
Let s(m) = m**2 + 6. Let c(i) = -2*i**2 - 12. Let o(h) = -2*c(h) - 5*s(h). Let k(g) be the first derivative of o(g). Let u(t) = -3 + t**2 + 3. What is k(u(n))?
-2*n**2
Let q(w) = -6*w**2 + 3*w**2 + 4*w**2. Let l = 3 - 0. Let g(u) = 5*u - u - l*u. Calculate g(q(f)).
f**2
Let r(c) = c. Let a(v) = 25*v - 11*v + 0*v - 3*v. Calculate a(r(k)).
11*k
Suppose -5*u - 2*z - 1 = -6*z, 0 = u + 4*z - 19. Suppose -d + u = -0. Let v(x) = 5*x + x - d*x. Let j(h) = -2*h**2. Give j(v(m)).
-18*m**2
Let h(k) = -k**2. Let u = -1 - 5. Let p(f) = 2*f**2 - 13*f + 13. Let l(v) = v**2 - 6*v + 6. Let m(s) = u*p(s) + 13*l(s). Give h(m(r)).
-r**4
Let c(h) = 4*h**2. Let p(n) = 7*n - 6. Let a(y) = -20*y + 17. Let t(f) = 6*a(f) + 17*p(f). Calculate c(t(u)).
4*u**2
Let f(m) = m**2. Let b(o) = 2 + 2*o - 6 - 3*o + 3. Let c(d) = 10*d - 2. Let v(z) = 2*b(z) - c(z). Give f(v(u)).
144*u**2
Let k(z) = 7*z. Let v(r) = -292*r. Determine v(k(b)).
-2044*b
Let g(s) = -231*s. Let k(v) = 5*v. What is k(g(t))?
-1155*t
Let q(k) = 3*k - 7*k + 6*k. Let p(i) = i. Calculate p(q(a)).
2*a
Let i(l) = l**2. Let g(w) = -2*w. Let c(k) = -k. Let h(p) = 3*c(p) + 3*g(p). Calculate h(i(m)).
-9*m**2
Let p be 8 - (4 - (0 + 2)). Let z(a) = -p + a + 6. Let y(t) = 2 - t**2 - 2. Determine y(z(h)).
-h**2
Let s(k) = 1182*k. Let b(r) = -r**2. Calculate s(b(w)).
-1182*w**2
Let n(r) = 2*r**2. Suppose -9*f + 10 = -4*f. Let y(m) = 16*m**f - 8*m**2 - m**2. Give y(n(x)).
28*x**4
Suppose m + 3 - 7 = -3*d, -4*m = d - 16. Suppose -4*s + 5 = -7. Let j(n) = d*n + s - 3 + 2*n. Let w(q) = -3*q**2. Calculate w(j(t)).
-12*t**2
Let i(a) = a**2. Let x(h) = -3*h**2. Let s(y) = 5*i(y) + 2*x(y). Let n(t) be the first derivative of t**2 - 1 + 0*t**2 + 0. What is s(n(r))?
-4*r**2
Let j(w) = -12*w. Let f(p) = 190*p. Give j(f(y)).
-2280*y
Let i(o) = 10*o**2 + 11*o + 11. Let p(z) = z**2 + z + 1. Let k(r) = -2*i(r) + 22*p(r). Let g = 13 - 11. Let f(n) = 5*n**g - 19*n**2 + 12*n**2. What is f(k(j))?
-8*j**4
Let s = -4 - -5. Let p(v) = 9*v**2 + 5. Let x(d) = -d**2 - 1. Let f(m) = s*p(m) + 5*x(m). Let r(o) = -2*o. What is r(f(g))?
-8*g**2
Let l(w) be the first derivative of -5*w**3/3 - 1. Let d(v) be the first derivative of 0 - v**2 - 5 - 2. What is l(d(k))?
-20*k**2
Let f(p) = -2*p. Let l(n) be the first derivative of -n**2/2 - 5*n + 1. Let d be l(-7). Let c(s) = 3*s**d + 4 - 4. What is c(f(v))?
12*v**2
Let c(q) be the second derivative of -q**4/6 - q. Let v be (4/(-6))/((-2)/33). Let t(y) = 11*y + 5*y - v*y. What is t(c(w))?
-10*w**2
Let z(r) = 23*r**2. Let b(k) be the third derivative of k**6/360 - k**4/4 - 7*k**2. Let g(x) be the second derivative of b(x). Give g(z(d)).
46*d**2
Let x(k) = k**2. Let f(l) = l**2 - 1. Let q(a) = 15*a**2 - 2. Let m(d) = 2*f(d) - q(d). Give x(m(y)).
169*y**4
Let n(t) = -t**2. Let w(j) be the second derivative of j**4/4 - 12*j + 2. Give n(w(u)).
-9*u**4
Let o(t) = -3*t**2. Let q(k) be the third derivative of -13*k**5/30 - 14*k**2 + 2. What is o(q(w))?
-2028*w**4
Let n(i) = -i. Let j(w) = -w**2 - w + 1. Let m(u) = 5*u**2 + 54*u - 3. Let z(h) = 3*j(h) + m(h). Determine n(z(x)).
-2*x**2 - 51*x
Let x(c) be the third derivative of c**7/2520 + c**4/12 - 3*c**2. Let f(b) be the second derivative of x(b). Let a(j) = 5*j. Give a(f(m)).
5*m**2
Let v(t) = -552*t. Let l(d) = 9*d**2. Give v(l(g)).
-4968*g**2
Let l be 1 + -2 - -1 - -3. Let o be 8 + (-1 - (-3)/l). Let m(i) = -8*i - i**2 + o*i. Let r(x) = -4*x**2. What is m(r(g))?
-16*g**4
Let j be (-5*2)/((-14)/7). Let r(u) = u + j*u - 6*u - 3*u. Let t(y) be the third derivative of y**4/8 - 2*y**2. Give t(r(g)).
-9*g
Let j(h) = 3*h**2. Let f(a) = -a + a - a + 0*a. What is j(f(m))?
3*m**2
Suppose m - 8 = -3*m. Let b(h) = 2*h - 2*h - m*h. Let t(r) = -5*r - 3*r + 12*r - 6*r. Calculate b(t(a)).
4*a
Let y(q) be the third derivative of -q**5/120 + q**3/6 - 6*q**2. Let a(h) be the first derivative of y(h). Let c(b) = 3*b. Give c(a(u)).
-3*u
Let j(y) = -78*y. Let z(v) = 2*v**2 - 32*v. Calculate z(j(f)).
12168*f**2 + 2496*f
Let l(u) = -u - 1. Let w(i) = -4*i. Determine l(w(n)).
4*n - 1
Let m(n) = -n**2. Let y(x) be the third derivative of -x**5/60 - x**2. Determine m(y(r)).
-r**4
Let c = -62 + 87. Suppose -3*z + 65 = 4*d, -3*d + z + c = -d. Let r(l) = -l + d - 14. Let f(a) = -3*a**2. Give r(f(v)).
3*v**2
Let g(z) = -z - 1. Let f(c) = -2 - 4 - 10*c - 2. Let m(i) = f(i) - 8*g(i). Let n(l) = -l. What is n(m(k))?
2*k
Let o(b) = 50*b. Let j(n) = -29*n - 1. What is o(j(r))?
-1450*r - 50
Let b(z) = -4*z**2. Let o(p) = -p**2. Let r(y) = -b(y) + 2*o(y). Let f(m) = -6*m**2 + 511*m - 511*m. Give f(r(g)).
-24*g**4
Let t(f) = -180*f - 2. Let d(p) = 2*p**2. Calculate t(d(q)).
-360*q**2 - 2
Let j(b) = 6962*b**2. Let h(x) = 3*x. Give j(h(f)).
62658*f**2
Let a(p) = 4*p - 2*p + 5*p - 5*p. Let j(m) be the third derivative of 0*m + 1/8*m**4 + 0 + 0*m**3 + m**2. Calculate j(a(f)).
6*f
Let w(f) = 2*f**2. Let i(m) be the second derivative of m**4/4 + 10*m. What is i(w(j))?
12*j**4
Suppose -4*g + 8 = -2*g. Let z(n) = 0*n + g*n + 3*n. Let m(s) = 2*s**2. Determine m(z(t)).
98*t**2
Let b(n) = 2*n**2. Let d(k) be the second derivative of k**3 - 3*k. What is b(d(j))?
72*j**2
Let i(v) = 2*v. Let x(c) = c**2 + 2*c + 670. Calculate x(i(n)).
4*n**2 + 4*n + 670
Let k(g) = 2*g**2 - 3. Let d(w) = 3*w**2 - 5. Suppose r = -2*r - 18. Let l(o) = r*d(o) + 10*k(o). Let j(n) = -23 + 51 - 2*n - 28. Give l(j(s)).
8*s**2
Let w(a) = -a. Let u be 16/7 + 2/(-7). Suppose 0 = -u*r - r + 27. Let g(s) = 3*s - 2. Let b(x) = -13*x + 9. Let i(z) = r*g(z) + 2*b(z). What is w(i(l))?
-l
Let b(z) = -33*z. Let w(v) = 10*v. What is w(b(l))?
-330*l
Let g(a) = 5*a + 82. Let f(h) = 3*h**2. What is g(f(p))?
15*p**2 + 82
Let y(t) = 14*t**2 - 12. Let w(a) = a**2 - 1. Let l(r) = 12*w(r) - y(r). Let v(b) = -2*b + 5*b - b. Give v(l(o)).
-4*o**2
Let s(h) = h**2. Let i(b) be the third derivative of 0*b + 0 + 0*b**4 + 1/12*b**5 + 0*b**3 - 2*b**2. Determine s(i(c)).
25*c**4
Let h(k) = -2*k - 11. Let j(b) = -2*b**2. Give h(j(d)).
4*d**2 - 11
Let u(z) = 0 + 8 - z**2 - 8. Let x(a) = 9*a**2. Calculate u(x(y)).
-81*y**4
Let p(n) = -1. Let l(k) = -10*k**2 + 25. Let o(f) = -l(f) - 25*p(f). Let z(t) = 2*t. Calculate o(z(h)).
40*h**2
Let b(r) = r**2. Suppose -x = 6*x - 4*x. Let g(m) be the second derivative of 0 + x*m**2 - 2*m + 1/2*m**3. What is b(g(s))?
9*s**2
Let w(z) = 149*z + 4. Let l(x) = 2*x**2. Calculate l(w(o)).
44402*o**2 + 2384*o + 32
Let j(x) = 18*x**2 + 5*x. Let y(u) = 9*u. What is y(j(c))?
162*c**2 + 45*c
Let d(g) = -3*g**2 - 2*g**2 - g**2. Let y(t) = -2*t**2. Calculate y(d(k)).
-72*k**4
Let h(u) = -u + 2. Let i(c) = c - 1. Let l(s) = -h(s) - 2*i(s). Let f(x) = -3*x**2. What is l(f(v))?
3*v**2
Let o(h) be the second derivative of -h**5/60 + 3*h**3/2 - 10*h. Let v(k) be the second derivative of o(k). Let y(x) = x**2. Give v(y(t)).
-2*t**2
Let q(z) = 37*z. Let l(o) = o + 8. Let y(b) = -b - 6. Let t(f) = 3*l(f) + 4*y(f). Give q(t(v)).
-37*v
Let h(z) = -15*z**2 - 6*z + 12. Let s(a) = -14*a**2 - 5*a + 10. Let p(b) = -5*h(b) + 6*s(b). Let d(k) = 2*k. Determine p(d(q)).
-36*q**2
Let a = 2 + 4. Let d(j) = -1 - 5 + a + j**2. Let t(c) = -2*c + 4*c - 4*c. Determine t(d(r)).
-2*r**2
Let b(g) = 377*g. Let l(h) = 2*h**2. Determine l(b(q)).
284258*q**2
Let m(o) = -2*o**2 - 2*o + 2. Let g(q) = -2*q**2 - 3*q + 3. Let k be (-3)/9*(-10 + 1). Let u(x) = k*m(x) - 2*g(x). Let b(r) = -r. What is b(u(a))?
2*a**2
Let l(h) = -13*h**2 + 31*h - 2. Let d(p) = -p. Give l(d(a)).
-13*a**2 - 31*a - 2
Let d(q) = -5*q. Let o(v) = -7*v**2. Give d(o(a)).
35*a**2
Let q(g) = g. Suppose -1 - 8 = -3*n. Let h(k) = -2*k**2 + 0*k**2 + k**2 - n*k**2. Determine h(q(x)).
-4*x**2
Let m(c) = -2*c**2 + 4*c - 4. Let w(n) = -3*n**2 + 5*n - 5. Let v(i) = 5*m(i) - 4*w(i). Let r(z) = z. Calculate v(r(d)).
2*d**2
Let i(q) = -6*q. Let j(a) be the third derivative of a**4/12 + 7*a**2. What is j(i(k))?
-12*k
Let x(u) = u**2 - u. Let z(r) = 8*r**2 - 4*r. Let p(n) = 4*x(n) - z(n). Let o(t) = t. Let a(c) = -c. Let y(g) = 6*a(g) | {
"pile_set_name": "DM Mathematics"
} |
141, 0 = -2*u - 2*i - 4 for u.
0
Solve -5*g - 36 = -2*i, 4*i + 210*g - 212*g - 56 = 0 for i.
13
Solve -2*y - 133168*u - 1 = -133171*u, 5*u + 25 = 0 for y.
-8
Solve 0 = -w + b + 36 - 30, 2*w + 4*b = -24 for w.
0
Solve -5*t - 10 = 33*c - 31*c, 4*t - 3*c = 15 for t.
0
Solve 1 = -3*d + 2*c, 0 = -d + 3*c + 23 - 21 for d.
-1
Solve 371 = -89*j + 5*b, -2056*j = -2051*j - b + 23 for j.
-4
Solve -30*i - 42 = 4*w, 4*w + 6*i - 9*i = -9 for w.
-3
Solve 0 = -s - 4*y + 22, -5*s + 21 = 4*y - 9 for s.
2
Solve -3*u - 9 = -c, -95*c = -93*c - 3*u - 3 for c.
-6
Solve -6 = 2*m + 2*g, -13*m - 3*g + 6 + 2 = -3 for m.
2
Solve 2*c - 3*b = 6*c - 11, 15*b + 8*b - 20*b = 3 for c.
2
Solve 21*d + 16 = 25*d - 2*n, 4*n = d - 32 for d.
0
Solve 4*w - 6 = -2*v + 16, 2*v + 10 = 4*w for w.
4
Solve 16*a - 80 = 4*m, -3*m + 7 - 22 = -3*a for a.
5
Solve 3*d - 5 + 15 = y, 0 = -3*y - 5*d + 2 for y.
4
Solve -3*b = 5*g + 6, 3*g - 39*b = -34*b - 24 for g.
-3
Solve -12*w = -14*w - 2*x + 20, 0 = w + 5*x - 34 for w.
4
Solve 61*c + 53 = 4*b, 233*b - 5*c + 3 = 229*b for b.
-2
Solve -2*x + 109*i - 14 = 105*i, -5*x - i = 35 for x.
-7
Solve -624*a = -3*l - 623*a - 11, -4*a = 2*l + 12 for l.
-4
Solve 2*g - 11*m + 10 = -12*m, 7*m = 7*g + 10*m + 37 for g.
-7
Solve -i + 5*c - 1 = 0, 5*i + 3*c - 524 = -501 for i.
4
Solve 4*p = -k - 15 + 24, 0 = 3*p + 4*k - 23 for p.
1
Solve 11*r - 4*g - 59 = 0, -18 = -4*r + g - 3*g for r.
5
Solve 0 = 4*x + b - 3, -20*b + 14*b = 2*x - 62 for x.
-2
Solve 0 = 4*u + q + 38, 60*q = u + 54*q - 3 for u.
-9
Solve 8 = 5*b + 61*i - 64*i, 0 = 3*b - 3*i - 6 for b.
1
Solve -3*v - 4*l + 9 = 0, v + 5*l + 21 = 35 for v.
-1
Solve -3*b + j = -14, -7482*b + 71 = -7465*b - 4*j for b.
3
Solve -5*g = 5*w - 90, -415*g + 419*g + 3*w = 69 for g.
15
Solve -261*a - 100 = -256*a - 26*d, 3*d + 8 = 23 for a.
6
Solve 2*i + 27*b = -25, -4*i - b = -964 + 961 for i.
1
Solve -2 = 5*m + 39*s - 35*s, 5*m + 16 = 3*s for m.
-2
Solve 3*g = 4*f - 19, -3*g - 31*f = -5*g - 30*f - 6 for g.
-1
Solve -13 = -v - 5*f, -7*v + 64*f = 68*f - 29 for v.
3
Solve 0 = 5*v - 8*a - 39, 5*v - 2*a - 26 = -5 for v.
3
Solve 0 = -3*m + 2*c - 949 + 1902 - 947, -4*m + 8*c = 8 for m.
4
Solve -33 = 12*j - 3*s, -861*j + 859*j + 2*s = 4 for j.
-3
Solve 0 = h - 5*t + 10, 54*t - 7 = 2*h + 57*t for h.
-5
Solve -4*l + 17 = -x, 0 = 4*x + 28*l - 32*l + 8 for x.
3
Solve -3*d + 57 - 27 = -2*o, 0 = 4*o - 11*d + 70 for o.
-12
Solve 245 = 4*c - z + 251, 3*z = -5*c + 35 for c.
1
Solve 4*k + 216 = -2*f + 228, 2*k + 5*f + 2 = 0 for k.
4
Solve 2*b - 4*d = -8, -4*b - 3*d = -0*d - 28 for b.
4
Solve 5*a - 5*p = 40, 0 = -104*a + 94*a + p + 44 for a.
4
Solve -5*x = r + 4647 - 4619, 20 = -r - 3*x for r.
-8
Solve 2*n - 345 = -2*a - 359, -4*n - 8 = 0 for a.
-5
Solve 5*b - 47 = -4*a, -5*b + 3*b + 26 = -2*a for b.
11
Solve -4*z - 34*m - 4 = -31*m, 5*z = 3*m + 22 for z.
2
Solve 3*h - 15 = 3*o, -5*h + 920*o = 919*o - 37 for h.
8
Solve 4*s + 25 = 3*q, -24031*s + 24036*s = -20 for q.
3
Solve 7*r = 6*r + b - 1, 11 - 6 = -5*b for r.
-2
Solve 21778*r - 21780*r - 1 = g, 3*g = 3*r + 24 for r.
-3
Solve 92*m - 86*m = -4*g - 50, 0 = -2*g - 4*m - 30 for g.
-5
Solve 2*q - 10 = 0, 4*s - 14*q + 32 = -10*q for s.
-3
Solve 204*n - 10 = 26*w + 202*n, -4*w - 15 = -3*n for w.
0
Solve -184 = -2*n + 4*g - 174, 5*n - 18 = 3*g for n.
3
Solve -4*a + 3*p = -10, -2*p = a + 1 - 9 for a.
4
Solve 4*l = 5*m - 31, -35*m + 39*m - 16 = l for l.
-4
Solve 4*p - 2*d - 24 = 0, 79*d = 32*p + 80*d - 158 for p.
5
Solve 45*z - 39*z + 4*v - 4 = 0, 3*z + 4*v = -8 for z.
4
Solve 0 = -2*t + 8*o + 14, -5*t + 4705*o - 61 = 4709*o for t.
-9
Solve 4*i = -3*k + 22, -82*i + 1588 = -78*i + 264*k for i.
1
Solve 0 = 3*s - 2*o + 2, 2*s - 1623 = 6*o - 1657 for s.
4
Solve -2*s + 66 - 46 = 4*l, 3*l + 4*s - 20 = 0 for l.
4
Solve -x + 2900*r = 2902*r, 0 = 4*x - 3*r + 22 for x.
-4
Solve 12 = -2*z + 3*m, 7*z + 5*m - 12 = 8 for z.
0
Solve 2924 = c - 18*z + 2894, 0 = c - 5*z - 17 for c.
12
Solve 2*z = 3*y - 0 + 3, 31 = 4*z + 7 for y.
3
Solve 0 = -4*n - 4*b + 4, -16229*b = 3*n - 16234*b - 19 for n.
3
Solve -7005*x + 7010*x = -2*r + 18, -4*x + r + 17 = 0 for x.
4
Solve 4*g = -6*o - 4, -3*o - 4 = 3*g + 3 - 1 for g.
-4
Solve 5*k - u + 40 = 0, -38 = -440*k + 444*k - 2*u for k.
-7
Solve p = 5*s - 20, -3*p = 4*s - 34 - 1 for p.
5
Solve 5*a + 61 - 83 = 2*n, 0 = -4*a - 2*n - 4*n + 10 for a.
4
Solve a = 28*o - 31*o - 2, -a = o for a.
1
Solve -4*h - 29 = 3*r, 0 = -r + 6*h - 10*h - 23 for r.
-3
Solve 0 = 2*f - 10, 8*h + 2*f = -7 - 0 + 41 for h.
3
Solve 5*p - 3*j - 9722 = -9696, -p + 2*j = -8 for p.
4
Solve -i = s - 7, 3*i = -27496*s + 27500*s for s.
3
Solve 3*a + 1434*f - 1430*f - 25 = 0, -3*f = -4*a for a.
3
Solve d = -4*i - 0*i + 5, -7*d + 232 = -2*i + 197 for i.
0
Solve -9 = -277*o + 280*o - 3*b, -b - 5 = o for o.
-4
Solve 5*x - 12*u - 42 = -52, -x + 34 - 36 = 4*u for x.
-2
Solve -1871*j + 1875*j - 8 = 4*o, -5*j = -o - 14 for o.
1
Solve -2*a + 5*h = -23, -264*h - 15 = -3*a - 263*h for a.
4
Solve 5*k + 3*u = 29, -k + 90759*u - 11 = 90754*u for k.
4
Solve -i - 4*c = -20, 3*c - 260 = 5*i - 245 for i.
0
Solve 0 = r - 4*m - 16, -2*m - 205 = 5*r - 197 for r.
0
Solve -k = 4*i - 12, -5*i + 10*i = 5*k - 60 for i.
0
Solve -4*q + 5*s + 3 = 0, 515*s + 4 = q + 517*s for q.
2
Solve -683*r + 675*r - 5*c - 30 = 0, 11 = 5*r + c for r.
5
Solve 460*x + 3*o = 463*x + 21, 0 = 5*x - 2*o + 20 for x.
-2
Solve -3*b + 40 = 4*i, 6*i + 50 = 2*b + 11*i for b.
0
Solve 0 = 3*b - 3*q - 9, -46 = b + 16*q - 10*q for b.
-4
Solve 5*s - 9110*u - 37 = -9106*u, 3*u + 27 = 3*s for s.
1
Solve 97*i + 148 = 2*x + 623, x + 2*i - 15 = 0 for x.
5
Solve -3*k + 23 = 2*v, 2*k = -9818*v + 9817*v + 14 for k.
5
Solve 22 = 3*r + 5*v, 16465*r + 5*v - 29 = 16469*r for r.
-1
Solve 0 = -10*p + 5*p + s - 25, -s = -4*p - 20 for p.
-5
Solve -3*v - n + 13 = 32, 4*v - 2*n + 22 = 0 for v.
-6
Solve 2*m = 14, 0 = 3*d - m - 422 + 414 for d.
5
Solve -17*k + 5*l = -14*k, k + 5*l + 20 = 0 for k.
-5
Solve 2*a - 16 = 3*u, -88*u - 4*a + 24 = -92*u for u.
-4
Solve -3*b = 4*k - 11, -5548*k + 5549*k - 4*b + 21 = 0 for k.
-1
Solve -3*b - 4*m + 129 = 145, -5*b - 24 = 4*m for b.
-4
Solve -3*h = 3*l + 12, 0 = 5*l + 2532*h - 2539*h + 32 for l.
-5
Solve 706*b - 710*b - 3 = -u, 0 = 2*b - 5*u + 15 for b.
0
Solve 0 = -30*w + 34*w - 48, v - 22*w + 125 + 140 = 0 for v.
-1
Solve 220*k + 12 = 216*k - 2*q, 4*k = 2*q + 4 for k.
-1
Solve -28*z + 26*z = 2, 2*z + 2 = 2*j for j.
0
Solve 5*z = -5*h + 70, -117*z = -120*z - 1 + 7 for h.
12
Solve -57*y + 2*i - 4 = -60*y, 3*y + 11 = i for y.
-2
Solve 72 = 4*o - 2*j, 192*o - 3*j = 197*o - 79 for o.
17
Solve 59*j - 23 = 55*j + 3*u, -12 = 4*j + 4*u for j.
2
Solve 3*z = 54376*q - 54374*q - 12, -4*z - 6 = -q for q.
6
Solve 0 = 5*q - 3*p + 6, -q + 260 = 3*p + 254 for q.
0
Solve -4*c - 35 + 30 = -5*z, -2*z + 2*c = 0 for z.
5
Solve 10*o + 17*s + 26 = 15*s, 4*o + 2*s = -14 for o.
-2
Solve 5*w = 36*p - 35*p - 29, -3*p - 3*w - 3 = 0 for p.
4
Solve 1 = 4*r + 21, 2*r = -54*t + 51*t + 2 for t.
4
Solve 1 = -3*i + s - 14, 17 = 4*s + 5 for i.
-4
Solve 2*x = -3*k + 7, 0 = 3*x - 9*k + 8*k - 16 for x.
5
Solve -5*p + 4*k + 55 = 0, 4*p + 6475 = 2*k + 6507 for p.
3
Solve 55*k - 4*t - 52 = 0, 42*t - 52 = 46*t for k.
0
Solve -5*i + 5*k + 40 = 0, 259*k + 20 = 4*i + 258*k for i.
4
Solve 0 = 13*l - 10*l + 12, 0 = -j - 5*l - 23 for j.
-3
Solve 20 = 16*v + 4*g, 3*v - 3*g = -4 - 11 for v.
0
Solve -25 = -z - 5*i, -i = 8*z - 165 + 160 for z.
0
Solve -5*w - 4*n - 20 - 30 = 0, -n - 29 = 4*w for w.
-6
Solve 5*d + 3*h + 50 = 0, 2*h + 17 = -2*d - 11 for d.
-4
Solve -5*a = -26826*h + 26829*h + 34, -4*h + a = 7 for h.
-3
Solve -19072 = -u - 2*n - 19060, -7*u - 3*n + 40 = 0 for u.
4
Solve 0 = 5*t + 5*k - 465 + 440, 4*k = -7*t + 26 for t.
2
Solve b + w = -2, 4*b + 8 = 3908*w - 3910*w for b.
-2
Solve 0 = 3174*h - 3171*h - 4*p + 12, -3*p + 9 = -2*h for h.
0
Solve -5*h + 10 = 5*c, 23*h = 19*h + 5*c + 35 for h.
5
Solve -5*z + 39 + 23 = 2*a, -2*z + 2*a + 36 = 0 for z.
14
Solve -2*u - 217*x + 215*x - 8 = 0, 17*x = -3*u + 58 for u.
-9
Solve 5*o = -4*w + 5, -54*w = 8*o - 53*w - 8 for o.
1
Solve -9*z + 6*z + 10 = 3*z - z, 3*u - 17 = 2*z for u.
7
Solve 5*t + 56*r - 117*r - 65 = -56*r, -t - 9*r = 7 for t.
11
Solve 0 = -g + 3*r - 20, -268*r - 60 = 5*g - 263*r for g.
-14
Solve 0 = 30*r - 18*r + 2*i + 166, -3*r = -i + 34 for r.
-13 | {
"pile_set_name": "DM Mathematics"
} |
= 0. What is j?
-632, 1
Find o such that 2*o**4 - 908*o**3 + 104858*o**2 - 408600*o + 405000 = 0.
2, 225
Let p**2 - 698*p + 697 = 0. Calculate p.
1, 697
Solve -4*y**3 + 156*y**2 + 324*y + 164 = 0 for y.
-1, 41
Factor -r**3/5 + 721*r**2/5 + r/5 - 721/5.
-(r - 721)*(r - 1)*(r + 1)/5
Factor -3*m**4 + 255*m**3 - 6012*m**2 + 24960*m - 19200.
-3*(m - 40)**2*(m - 4)*(m - 1)
Solve n**4 - 41*n**3 + 352*n**2 + 1452*n = 0.
-3, 0, 22
Factor -1568*f**2/9 + 5936*f/3 - 5618.
-2*(28*f - 159)**2/9
Factor -2*y**5/7 - 8*y**4/7 - 6*y**3/7.
-2*y**3*(y + 1)*(y + 3)/7
Factor 2*q**2/13 + 864*q/13 - 2610/13.
2*(q - 3)*(q + 435)/13
Determine c so that 2*c**4 + 8*c**3 + 6*c**2 = 0.
-3, -1, 0
Suppose -25*d**4 + 315*d**3 - 720*d**2 - 1540*d - 480 = 0. Calculate d.
-1, -2/5, 6, 8
Suppose -2*b**3 + 17*b**2/4 + 59*b/2 - 15/4 = 0. What is b?
-3, 1/8, 5
Factor 2*v**4/7 + 2*v**3/7.
2*v**3*(v + 1)/7
Factor 4*s**5 + 8*s**4 - 116*s**3 + 184*s**2 + 80*s - 224.
4*(s - 2)**3*(s + 1)*(s + 7)
Find j, given that 2*j**5 + 58*j**4 - 4*j**3 - 116*j**2 + 2*j + 58 = 0.
-29, -1, 1
Factor -2*k**4/3 + 10*k**3/3.
-2*k**3*(k - 5)/3
Factor j**3 + 25*j**2.
j**2*(j + 25)
What is r in 2*r**2 + 294*r + 580 = 0?
-145, -2
Factor 3*x**2/2 - 66*x - 135/2.
3*(x - 45)*(x + 1)/2
Factor 65*m**4/3 - 197*m**3/3 + 67*m**2 - 71*m/3 + 2/3.
(m - 1)**3*(65*m - 2)/3
Solve -5*c**4 - 35*c**3 - 25*c**2 + 155*c + 150 = 0 for c.
-5, -3, -1, 2
Factor -3*t**4 - 27*t**3 - 24*t**2.
-3*t**2*(t + 1)*(t + 8)
Determine z, given that -8*z**5 + 236*z**4 - 1660*z**3 - 1508*z**2 + 4740*z - 1800 = 0.
-2, 1/2, 1, 15
Factor -9*l**4/5 - 16*l**3/5 + 11*l**2/5 + 14*l/5.
-l*(l - 1)*(l + 2)*(9*l + 7)/5
Factor -7*v**2 + 432*v + 124.
-(v - 62)*(7*v + 2)
Solve 3888*m**3 + 35208*m**2 + 1947*m + 27 = 0 for m.
-9, -1/36
Factor 2*z**2/23 - 3638*z/23.
2*z*(z - 1819)/23
Factor -52*a**5 - 12*a**4 + 132*a**3 + 92*a**2.
-4*a**2*(a + 1)**2*(13*a - 23)
Solve 4*z**4/3 - 20*z**3 + 28*z**2 + 284*z/3 - 104 = 0.
-2, 1, 3, 13
Factor 9*j**3 + 267*j**2 + 876*j + 468.
3*(j + 3)*(j + 26)*(3*j + 2)
Determine d, given that -2*d**2/9 - 244*d/3 - 7442 = 0.
-183
Find i, given that -483*i**4 + 12078*i**3/5 + 141*i**2/5 - 792*i/5 + 12 = 0.
-2/7, 2/23, 1/5, 5
What is y in -18*y**3 - 15*y**2 + 42*y = 0?
-2, 0, 7/6
Factor -y**5/8 + y**4 - 13*y**3/8 + 3*y**2/4.
-y**2*(y - 6)*(y - 1)**2/8
Let -2*u**4/11 - 156*u**3/11 - 2538*u**2/11 + 19656*u/11 - 31752/11 = 0. Calculate u.
-42, 3
Solve 3*w**3 + 9*w**2 - 18*w - 24 = 0.
-4, -1, 2
Find i such that -i**2/4 - 3*i + 16 = 0.
-16, 4
Find a, given that 2*a**2/5 + 2616*a + 4277160 = 0.
-3270
Factor y**4/5 + 4*y**3/5 - 3*y**2/5 - 2*y + 8/5.
(y - 1)**2*(y + 2)*(y + 4)/5
Factor -2*k**3/11 - 16*k**2/11 - 34*k/11 - 20/11.
-2*(k + 1)*(k + 2)*(k + 5)/11
Let 364*o**3/3 - 8*o**2/3 - 32*o/3 = 0. What is o?
-2/7, 0, 4/13
Solve 49923*f**2 - 5418*f + 147 = 0.
7/129
Factor -44*f**2 - 116*f - 72.
-4*(f + 1)*(11*f + 18)
Solve 2*o**2/15 + 106*o/15 + 104/15 = 0.
-52, -1
Solve -16*z**5/7 + 284*z**4/7 + 88*z**3/7 - 284*z**2/7 - 72*z/7 = 0 for z.
-1, -1/4, 0, 1, 18
Determine p so that -p**2 + 379*p - 754 = 0.
2, 377
What is b in 3*b**2/8 + 183*b/8 + 1287/4 = 0?
-39, -22
Determine s, given that -2*s**4/3 - 12*s**3 - 206*s**2/3 - 132*s - 224/3 = 0.
-8, -7, -2, -1
Let -4*o**4/7 + 72*o**3/7 - 276*o**2/7 + 208*o/7 = 0. What is o?
0, 1, 4, 13
Find i such that 5*i**4 - 270*i**3 + 2360*i**2 + 36270*i + 33635 = 0.
-7, -1, 31
Determine a, given that 3*a**4/5 - 9*a**3/5 - 342*a**2/5 - 624*a/5 = 0.
-8, -2, 0, 13
Factor -4*b**2 - 8024*b + 8028.
-4*(b - 1)*(b + 2007)
Determine d, given that 2*d**5/9 - 2*d**4/9 - 50*d**3/3 - 286*d**2/9 - 140*d/9 = 0.
-7, -1, 0, 10
Factor 93*w**2/4 - 645*w/4 - 21/2.
3*(w - 7)*(31*w + 2)/4
Determine d so that 2*d**2 + 84*d + 832 = 0.
-26, -16
Solve 3*w**5/4 + 33*w**4/2 + 144*w**3 + 624*w**2 + 1344*w + 1152 = 0.
-6, -4
Factor 100*w**3 - 85*w**2 + 15*w.
5*w*(4*w - 1)*(5*w - 3)
Factor 5*o**2 - 32110*o + 51552605.
5*(o - 3211)**2
Factor -3*k**2/5 + 237*k/5.
-3*k*(k - 79)/5
Let -5*n**5 - 4690*n**4 - 1099790*n**3 + 14080*n**2 + 3308795*n + 2199610 = 0. Calculate n.
-469, -1, 2
Suppose 5*b**3 - 30*b**2 = 0. Calculate b.
0, 6
Factor c**4/4 + 55*c**3 + 4200*c**2 + 122500*c + 857500.
(c + 10)*(c + 70)**3/4
Find t such that 5*t**4 - 215*t**3 - 445*t**2 - 225*t = 0.
-1, 0, 45
Factor -2*m**5 - 240*m**4 - 238*m**3.
-2*m**3*(m + 1)*(m + 119)
Factor h**2/4 + 289*h/4 - 291/2.
(h - 2)*(h + 291)/4
Factor 3*k**2 + 90*k - 2025.
3*(k - 15)*(k + 45)
Let 2*p**3 + 120*p**2 - 126*p - 244 = 0. Calculate p.
-61, -1, 2
What is a in 21*a**3 - 468*a**2 - 351*a + 138 = 0?
-1, 2/7, 23
Factor -h**3/2 + 12*h**2 - 125*h/2 + 51.
-(h - 17)*(h - 6)*(h - 1)/2
Suppose k**5 = 0. Calculate k.
0
Let -5*t**3 + 40*t**2 - 25*t - 250 = 0. Calculate t.
-2, 5
Factor 12*a**3 + 248*a**2 + 996*a - 360.
4*(a + 6)*(a + 15)*(3*a - 1)
Factor 2*k**4 + 940*k**3 + 112306*k**2 + 434312*k.
2*k*(k + 4)*(k + 233)**2
Factor -4*l**5 + 48*l**4 - 120*l**3 + 112*l**2 - 36*l.
-4*l*(l - 9)*(l - 1)**3
Factor 3*s**4/5 + 12*s**3/5 - 9*s**2/5 - 42*s/5 - 24/5.
3*(s - 2)*(s + 1)**2*(s + 4)/5
Factor z**3/2 - 33*z**2/2.
z**2*(z - 33)/2
Factor 2*s**3 + 344*s**2 - 2880*s.
2*s*(s - 8)*(s + 180)
Suppose 4*w**3/5 - 28*w**2/5 - 8*w + 64/5 = 0. What is w?
-2, 1, 8
Factor -2*q**2 + 28*q + 64.
-2*(q - 16)*(q + 2)
Let -5*f**3 + 105*f**2 + 350*f + 240 = 0. Calculate f.
-2, -1, 24
Factor -2*t**2/9 - 296*t/9 - 584/9.
-2*(t + 2)*(t + 146)/9
Factor -3*x**2/2 - 9420*x - 14789400.
-3*(x + 3140)**2/2
Determine k, given that k**3/6 + 5*k**2/3 + 23*k/6 + 7/3 = 0.
-7, -2, -1
Factor 2*k**3/3 + 286*k**2/3 + 10366*k/3 + 10082/3.
2*(k + 1)*(k + 71)**2/3
Determine o, given that -2*o**4/13 + 36*o**3/13 + 2*o**2/13 - 36*o/13 = 0.
-1, 0, 1, 18
Solve -d**5 + 35*d**4 - 352*d**3 + 296*d**2 + 6608*d + 8624 = 0.
-2, 11, 14
Let b**3/8 - 7*b**2/8 - b/8 + 7/8 = 0. What is b?
-1, 1, 7
Factor -2*b**2/5 + 1696*b/5 - 359552/5.
-2*(b - 424)**2/5
Factor 2*y**3/11 + 60*y**2/11 - 414*y/11 - 16928/11.
2*(y - 16)*(y + 23)**2/11
Factor a**3/2 + 11*a**2 - 47*a/2 + 12.
(a - 1)**2*(a + 24)/2
Factor 3*j**3 - 6*j**2 - 9*j.
3*j*(j - 3)*(j + 1)
What is q in -196*q**5 - 588*q**4 + 16*q**3 + 832*q**2 - 64 = 0?
-2, -2/7, 2/7, 1
Suppose -405*r**4 - 63000*r**3 + 28060*r**2 - 3120*r = 0. What is r?
-156, 0, 2/9
Factor 5*j**2 + 15*j - 50.
5*(j - 2)*(j + 5)
Factor g**5/4 - g**4 - 23*g**3/4 + 19*g**2/2 + 55*g + 50.
(g - 5)**2*(g + 2)**3/4
Factor 20*p**2 - 14*p + 2.
2*(2*p - 1)*(5*p - 1)
Solve v**4/5 - 107*v**3/5 - 3*v**2/5 + 323*v/5 - 214/5 = 0 for v.
-2, 1, 107
What is r in 3*r**2/8 + 57*r/8 = 0?
-19, 0
Suppose 3*t**4 - 36*t**3 + 111*t**2 - 126*t + 48 = 0. What is t?
1, 2, 8
Let 5*p**3 - 5*p**2 - 185*p - 175 = 0. What is p?
-5, -1, 7
Factor 2*q**2/19 - 156*q/19.
2*q*(q - 78)/19
Factor 2*y**3/11 - 80*y**2/11.
2*y**2*(y - 40)/11
Determine g, given that 7*g**2/5 + 13*g/5 - 2/5 = 0.
-2, 1/7
Solve v**4/2 + 25*v**3 - 263*v**2/2 - 11100*v + 98568 = 0 for v.
-37, 12
Factor 3*f**4 + 12*f**3 - 144*f**2 + 336*f - 240.
3*(f - 2)**3*(f + 10)
Let 2*i**3 - 1096*i**2 + 2184*i = 0. Calculate i.
0, 2, 546
Factor -3*a**3 + 48*a**2 + 12*a - 192.
-3*(a - 16)*(a - 2)*(a + 2)
Factor -2*i**4/7 + 36*i**3/7 - 66*i**2/7 + 32*i/7.
-2*i*(i - 16)*(i - 1)**2/7
Factor -5*u**4 - 220*u**3 - 1940*u**2 + 10560*u - 11520.
-5*(u - 2)**2*(u + 24)**2
Factor 5*w**2 + 15*w - 20.
5*(w - 1)*(w + 4)
What is z in -20*z**4/3 - 44*z**3/3 + 52*z**2/3 + 4*z = 0?
-3, -1/5, 0, 1
Let 3*p**2 + 10437*p = 0. Calculate p.
-3479, 0
Factor 2*t**2/7 - 948*t/7 + 946/7.
2*(t - 473)*(t - 1)/7
Factor -5*g**4 + 20*g**3 + 160*g**2.
-5*g**2*(g - 8)*(g + 4)
Factor -7*w**2/9 + 13*w + 34/9.
-(w - 17)*(7*w + 2)/9
Solve -m**3/2 - 31*m**2/3 + 46*m/3 + 44/3 = 0 for m.
-22, -2/3, 2
Factor -15*n**2 - 230*n + 160.
-5*(n + 16)*(3*n - 2)
Factor -3*v**3/4 + 39*v**2/2 + 3*v/4 - 39/2.
-3*(v - 26)*(v - 1)*(v + 1)/4
What is x in 3*x**5/5 - 66*x**4/5 + 273*x**3/5 - 294*x**2/5 - 228*x/5 + 408/5 = 0?
-1, 2, 17
Solve -35*h**4/3 + 40*h**3/3 - 5*h**2/3 = 0 for h.
0, 1/7, 1
Determine f, given that 14*f**3/5 + 248*f**2/5 + 166*f/5 - 68/5 = 0.
-17, -1, 2/7
Factor -2*o**5/23 - 162*o**4/23 - 4788*o**3/23 - 58212*o**2/23 - 166698*o/23 + 1166886/23.
-2*(o - 3)*(o + 21)**4/23
Factor x**2/7 + 933*x/7 - 934/7.
(x - 1)*(x + 934)/7
Suppose -4*w**4/13 + 94*w**3/13 + 28*w**2 + | {
"pile_set_name": "DM Mathematics"
} |
e 3*q = -3*f + 3, -q - 4*q - 11 = -3*f for q.
-1
Solve 3*h + 3*r = -r - 25, 11 = -5*h + r for h.
-3
Solve 12 = 4*z + 4*o, 51 = -5*z + 3*o + 66 for z.
3
Solve 36*m = 4*a + 39*m + 10, -18 = 4*a - m for a.
-4
Solve 0 = -23*f + 26*f + 4*z, -2*f = -z + 11 for f.
-4
Solve h + 2*k - 14 = 0, -3*k = 4*h - 31 + 5 for h.
2
Solve -3*j + 8 = -4*b, 0 = -j + 2*b + 4 for j.
0
Solve 5*s + 4*c = -26, -32*c + 16 = -2*s - 28*c for s.
-6
Solve -3*y = -3*i - 6, -35*i + 40*i = 4*y - 10 for i.
-2
Solve -4*y - 2 = -2*s, -3*s - 4*y + 6*y - 9 = 0 for s.
-5
Solve -2*x - 6 = 5*s - 0*x, 0 = -4*s - 2*x - 6 for s.
0
Solve 7*u + 3*w = -17, -4*u = -2*w + 7 - 1 for u.
-2
Solve -2*o = 4*q - 14, 0 = -7*o + 4*o - q + 6 for o.
1
Solve -12*i = -5*r - 9*i - 28, 0 = 3*r - i + 16 for r.
-5
Solve 78*f - 80*f = -b + 7, 6*f + 5*b = -13 for f.
-3
Solve -2*p = -0*k - 5*k + 6, -10 = -2*p - 3*k for p.
2
Solve 3*i - 8*x - 3 = -9*x, -5*i + 2*x + 16 = 0 for i.
2
Solve 0 = 10*f - 9*f - 4*n + 8, -f + 6 = 3*n for f.
0
Solve -24*w + i - 2 = -27*w, 0 = 3*w + 4*i - 8 for w.
0
Solve -3*k + 1 = -4*k, 3*x + 5 = -2*k for x.
-1
Solve 0 = -3*z - 3*u - 12, -3*z = 5*u + 22 for z.
1
Solve 0 = 2*i - 86*s + 87*s - 10, -5*i + s + 25 = 0 for i.
5
Solve 6 = -0*w - w + 2*y, 2 = 4*w + 5*y for w.
-2
Solve -y + d = -4, -18*d - 12 = 5*y - 15*d for y.
0
Solve k - 15 = -4*j - 4, -k + 9 = 3*j for j.
2
Solve -3*p - 4*w = 2, -11*p + 12 = -6*p - w for p.
2
Solve -5*f = -2*t + 9, -4*t = -5*f - 177 + 164 for t.
2
Solve 30 = -5*d + 5*v, -34*d + 29*d = v + 12 for d.
-3
Solve -44 = 5*d + 3*b - 17, -4*d - 2*b = 20 for d.
-3
Solve 115*v - 111*v + 11 = -t, 2*t = 4*v + 2 for v.
-2
Solve 3*b - 9*q + 10*q = -14, -10 = 2*q for b.
-3
Solve 1 = j + 5*w, 2*j - 4*j - 3 = 5*w for j.
-4
Solve -12 = 4*q - 3*f, 36 - 21 = -5*q - 5*f for q.
-3
Solve -3*t + 3*u + 3 + 0 = 0, 2*t + 23 = -3*u for t.
-4
Solve 2 = -5*r - 8, -4*r - 11 = 3*j for j.
-1
Solve 14*n - 16*n = 2, 0 = 2*d + 5*n - 5 for d.
5
Solve -2*l - 5*c - 35 = 0, -91*l = -92*l - 2*c - 14 for l.
0
Solve -5*b + 17 = -4*z, 3*b + 5 = 8 for z.
-3
Solve 3*t + 3*x = 5*t - 1, 5*x = 15 for t.
5
Solve 2*y = -2*t + 2 - 6, 4 = 3*y - 2*t for y.
0
Solve -4*b - 17*x = -20*x - 18, 5*b - 5*x - 25 = 0 for b.
3
Solve -4*n + 0*n = 4*y, -y = -n - 6 for y.
3
Solve 2*i = -5*v + 2*v + 9, 5*i + 3 = v for i.
0
Solve -2*h + 2 = -3*b - 7, 5*b = -h - 2 for b.
-1
Solve 3 = 3*v - 0*v + 2*w, 0 = -v + 4*w - 13 for v.
-1
Solve 5*u = -5*n + 5 + 25, 5*u + n = 14 for u.
2
Solve 0 = 4*y - 4*b - 12, -b + 6*b = 3*y - 19 for y.
-2
Solve 5*v + 31 = -3*r, -4*r - 28 = 18*v - 14*v for r.
-2
Solve 2*i + 23 = 5*p, -p - 2*p + 9 = 0 for i.
-4
Solve -b + 0*b - 40 = -5*f, 0 = 3*b + 2*f + 1 for b.
-5
Solve 3*v = 5*c + 15, c = -v - 0 - 3 for c.
-3
Solve i + 33 = 5*b + 3*i, -2*b + 14 = i for b.
5
Solve -4*y - 14 = -3*h, 2*h + 3*h + y - 8 = 0 for h.
2
Solve -3*q + 5*s = 18, 2*s = -q + 36 - 31 for q.
-1
Solve -s + 5*s - 5 = -5*d, -2*s = -10 for d.
-3
Solve -3*r - 1 = -3*o - 25, -2*r + 22 = -4*o for o.
-3
Solve 5*s = 20, 0 = i - s - 2 + 5 for i.
1
Solve -12*p - 1 = -14*p - r, 0 = 5*p + r - 4 for p.
1
Solve 4*d = -35 + 15, -5 = -5*f - 2*d for f.
3
Solve 0 = -3*n + 3, 3*j + 3*n - 6 - 6 = 0 for j.
3
Solve -378*d = -382*d + 5*x - 7, d + 2*x = 8 for d.
2
Solve -116*l + 3*d = -120*l - 3, 5*l = -4*d - 5 for l.
3
Solve -4*f = 3*k - 0*k - 3, k = -4*f + 9 for f.
3
Solve 6*a = 3*a - 6, -6 = i + 3*a for i.
0
Solve -2*p + 12*d + 12 = 7*d, 2*p = d - 4 for p.
-4
Solve 2*w + n = 5*w + 12, -18 = 5*w - n for w.
-3
Solve -2*i - w - 3 = 0, 6*w = w + 5 for i.
-2
Solve q = 2*u - 7, 4*q + 2 = 2*u - 2 for u.
4
Solve d + 7 = -47*n + 42*n, 2*n + 16 = 4*d for n.
-2
Solve 0*a - 2*j + 7 = 3*a, -5*j = -10 for a.
1
Solve g + 5*c + 27 = 0, -7*c - 15 = -4*c for g.
-2
Solve 2*z = -3*h - 15, -2*z = h + 6 + 3 for h.
-3
Solve -2*d + 4*t = -5*d - 4, 2*t + 2 = -d for d.
0
Solve -2*h - 35 = 5*f, 0 = -5*h + 14*f - 9*f for h.
-5
Solve -w = -2*y - 0*w + 5, -3*w - 15 = -y for y.
0
Solve -m - g + 1 = 0, 2*g - g - 5 = 0 for m.
-4
Solve 2*b - 5*i + 7 = 0, -2*b - 3*b - 3*i = -29 for b.
4
Solve 5*s + 9 = -3*b, s + 12 = -3*s - 4*b for s.
0
Solve -17 = -0*w - w - 4*k, -4*w - 2*k = 2 for w.
-3
Solve -7*z - 35 = 2*o - 2*z, 0 = 2*o + 3*z + 25 for o.
-5
Solve h = 4*d + 1, d = -4*d - 4*h - 17 for d.
-1
Solve -r = -5*n - 1, 0*r = -r - 2*n - 6 for r.
-4
Solve -3*f = -5*v + 16 + 12, 0 = -4*f - 4 for v.
5
Solve 8 = f + 4*i, -i + 5 - 3 = -f for f.
0
Solve -g = 3*r + 7, 2*g + 0 + 8 = -3*r for r.
-2
Solve 23*o - 26*o = -4*n + 24, -3*n - 2*o + 1 = 0 for n.
3
Solve 10 = 4*w - 5*c - 19, -w + 21 = -4*c for w.
1
Solve -v + 17 = 4*l, -5*v - 5*l = -2*l - 17 for v.
1
Solve 3*p + 7 = -2*q - 18, -3*q - 35 = 4*p for q.
-5
Solve 4*h = 3*y - 25, -4*y + 4*h = -h - 32 for y.
3
Solve 4*w = -12*m + 11*m + 18, 4*m - 4*w + 28 = 0 for m.
-2
Solve 5 = 2*m + g, 12 = -62*m + 59*m + 5*g for m.
1
Solve -2*z - 3*u = -z - 19, u + 15 = 5*z for z.
4
Solve -43*r = -42*r + k, -6 = r - k for r.
-3
Solve 5*n - 25 = u, 3*u - 14*n + 18*n - 39 = 0 for u.
5
Solve 2*d + 2*h = 14, -3*d + 5*d + 4*h = 22 for d.
3
Solve 12 = 2*h + 2*i, -4*h + 0 = -3*i + 11 for h.
1
Solve 4*y + 110 = -2*d + 100, -3*y = 2*d + 5 for y.
-5
Solve 3*n + 2*t + 2*t = 16, -5*n + t + 19 = 0 for n.
4
Solve 4*q + 4*h = 8, 0 - 2 = -4*q + 2*h for q.
1
Solve -3*u + 13 = -3*s + 5*s, -s = 4*u - 19 for u.
5
Solve -4*n = -4*d + 4 - 8, -33 = -5*n - 2*d for n.
5
Solve 0 = 2*y - 7*y + 4*c + 3, c = 3*y + 1 for y.
-1
Solve -t = -11*n + 9*n - 9, -2*n = -5*t + 21 for n.
-3
Solve u - 2*w = 6, 2*u - 14 = u + 4*w for u.
-2
Solve -5*j = 4*c + 20, 12*j - 9*j + 5*c = -12 for j.
-4
Solve q - 4 = -w, -5*w + 7 - 2 = 0 for q.
3
Solve 3*n + 4*j + 20 = -2*n, 2*n = -2*j - 10 for n.
0
Solve -3*c + 22 = 13, 29 = -2*q + 7*c for q.
-4
Solve 4*q + 2*i - 10 = 0, 0*i - 3 = -3*q - 3*i for q.
4
Solve 3*c + 4*q + 10 = 0, -2*q = -2*c + 35 - 23 for c.
2
Solve 3*w - 2 = -u, -5*u + 4*w = 6 + 22 for u.
-4
Solve 3*p - 3*f = 6, 3*f + 2 = p + p for p.
4
Solve -f - 5*v = -28, -6*v + 10*v - 32 = -4*f for f.
3
Solve 4*d = 3*h - 15, d = -h - 3*h + 1 for d.
-3
Solve 0*i = -4*i - 5*w - 20, 3*i - 7 = -w for i.
5
Solve 5*x = -2*p - 18, p - 4*p - 5 = 2*x for p.
1
Solve 3*r = 6*r - 4*b - 18, 0 = 4*r - 3*b - 10 for r.
-2
Solve 18 = 2*z - 3*x + 7*x, -2*x + 5 = -3*z for z.
1
Solve 0 = 2*n - 4, 8 = 5*o - 5*n + 4*n for o.
2
Solve 40*v - 45*v - 30 = 0, 2*v + 9 = -i for i.
3
Solve -6*s - 5*t = -4*s - 4, -5*t = -10 for s.
-3
Solve q = 5, 52*u - 53*u - 10 = -3*q for u.
5
Solve -q - 3*w = -4*w + 9, -20 = -4*w for q.
-4
Solve 0 = -3*d + 3*n - 9, 12*n = 10*n + 6 for d.
0
Solve 3*v - 24 = -0*h - 5*h, 0 = h + v - 6 for h.
3
Solve -5*r + 6*p - 10 = 3*p, 3*p + 15 = 0 for r.
-5
Solve -3*o = r - 1, o = -3*o + 3*r - 3 for o.
0
Solve -2*a = -5*q - 18, 29*a + 5*q = 34*a - 15 for a.
-1
Solve -4*h - h + 10 = 5*u, -h = 0 for u.
2
Solve 5*z + 2*p - 2 = -12, -3*z = p + 5 for z.
0
Solve -23*p + 14 = -2*n - 20*p, 4*p = -3*n + 13 for n.
-1
Solve 2*a - 15 = -5*t, a = -t + 2 + 1 for t.
3
Solve -2*i + 2*a + 2*a = -20, -3*a = -4*i + 20 for i.
2
Solve -27 = -3*n - y, 5*y + 1 = 6*n - 4*n for n.
8
Solve 0 = -5*i - 3*l + 20, -l + 12 = 3*i - 0*i for i.
4
Solve -20 = 4*v, 6*f - 3*f + 5*v = -40 for f.
-5
Solve -143*z + 144*z - 6 = -k, 4 = k for z.
2
Solve 5*u - 25 = v, -5*v = -0*u - 4*u + 41 for u.
4
Solve -p = -4*r + 17, -39*r = 2*p - 36*r - 21 for p.
3
Solve -3*k + 3*o + 18 = 0, 0 = 2*k + 4*o + 18 for k.
1
Solve -2*t = 6*m - 8*m + 2, -3 = -m + 3*t for m.
0
Solve -2*c = 2*w, -4*c - 73 + 46 = -5*w for c.
-3
Solve 5*d - 2*j = 3*j, 0 = 4*d - j + 6 for d.
-2
Solve -5*b - 2*k + 23 = 0, 5*b - 3*k + 5 = 2*k for b.
3
Solve -2*u - 2 = -17*g + 19*g, -5*g + 1 = 2*u for g.
1
Solve 5*s = -2*z + z - 5, -5*s = 0 for z.
-5
Solve v + 25*j - 2 = 26*j, 2*j = -4*v + 26 for v.
5
Solve -4*b - l + 6 = 3, -2*l + 6 = -3*b for b.
0
Solve 11*o - 8*o + 2*v + 10 = 0, o - 4*v - 6 = 0 for o.
-2
Solve -3*h + 4*f - 5 = -8*h, 4*h = 5*f + 45 for h.
5
Solve -h - 51*b - 9 = -48*b, 19 = 4*h + b for h.
6
Solve -t - 4*j = -25, 2*t - 17 - 13 = -4*j for t.
5
Solve -3*f + 6 = -3*t, -3*f + 6 = -2*t + 2 for t.
-2
Solve -2*b - 3*z + 11 = 22, -2*b = -5*z - 13 for b.
-1
Solve 21 = -4*y - 5*g, -4*y + 8 = -5*g + 19 for y.
-4
Solve c + 2*o = 5, -5*c = o + 3*o - 1 for c.
-3
Solve 7 = -5*u + 2*p, -5*u + 5*p - 8 - 2 = | {
"pile_set_name": "DM Mathematics"
} |
7.
-4
Divide -3 by 3733.
-3/3733
Calculate -822 divided by -822.
1
What is -720 divided by -4?
180
258 divided by 2
129
Divide -29 by -3.
29/3
Divide -72 by 1.
-72
Calculate -40 divided by -8.
5
8040 divided by 3
2680
-2 divided by 161
-2/161
-150 divided by 4
-75/2
Calculate 92 divided by -46.
-2
Calculate 17 divided by -11.
-17/11
-6 divided by 41
-6/41
What is 27860 divided by -1990?
-14
Divide 8212 by 2.
4106
What is 3460 divided by -5?
-692
Divide 21483 by 93.
231
-156 divided by 3
-52
3 divided by 366
1/122
Divide -3651 by 3.
-1217
Divide 5 by -291.
-5/291
Divide -6651 by -739.
9
5 divided by 73
5/73
-12 divided by 76
-3/19
-460 divided by 5
-92
Divide -46 by -53.
46/53
54 divided by 8
27/4
Divide -36 by 18.
-2
What is 423 divided by 5?
423/5
What is -3374 divided by 241?
-14
Calculate 1092 divided by -42.
-26
What is -9388 divided by 2?
-4694
Divide 2 by 71.
2/71
Calculate 14 divided by 83.
14/83
Divide 2 by 153.
2/153
What is 5 divided by 2579?
5/2579
What is -1044 divided by 36?
-29
0 divided by -252
0
Calculate 19 divided by 8.
19/8
What is 490 divided by 35?
14
Calculate 51 divided by -47.
-51/47
Calculate 7524 divided by 57.
132
What is -764 divided by 382?
-2
What is 1 divided by 342?
1/342
Calculate 13 divided by 13.
1
Divide -26010 by -15.
1734
What is -1081 divided by 1081?
-1
Calculate 0 divided by 44.
0
Divide 20304 by -1269.
-16
Divide 3 by 6.
1/2
1543 divided by -1543
-1
Calculate -3 divided by 2918.
-3/2918
Calculate -80 divided by -17.
80/17
Calculate -5 divided by 2646.
-5/2646
What is -3 divided by -90?
1/30
Calculate -68 divided by 6.
-34/3
-1181 divided by 6
-1181/6
Divide 712 by 89.
8
Calculate 1 divided by 1162.
1/1162
-5638 divided by 5
-5638/5
-4134 divided by 1378
-3
Divide -75 by 75.
-1
Divide -1017 by 339.
-3
What is 135 divided by 3?
45
Divide 31 by -7.
-31/7
-2 divided by 860
-1/430
-188 divided by 4
-47
-172 divided by 4
-43
Divide -2502 by -1251.
2
What is -2098 divided by 2098?
-1
Calculate -85 divided by -1.
85
Divide -1 by -18.
1/18
What is -1191 divided by 397?
-3
4 divided by 35
4/35
Calculate -433 divided by -5.
433/5
What is -420 divided by 12?
-35
5 divided by 74
5/74
Divide -1 by -7.
1/7
2730 divided by 546
5
Calculate -7651 divided by -1.
7651
-3 divided by -14
3/14
Divide 3906 by 126.
31
Calculate 0 divided by -344.
0
What is -540 divided by -18?
30
What is -210 divided by -21?
10
What is -7 divided by -1011?
7/1011
What is -9 divided by -46?
9/46
Divide -8796 by 3.
-2932
6477 divided by 3
2159
Divide 4660 by 1165.
4
Divide 7 by -25.
-7/25
Divide -170 by 17.
-10
Calculate -341 divided by 1.
-341
Divide 4 by -492.
-1/123
What is 316 divided by 316?
1
Divide -6 by -4.
3/2
Divide 2 by 73.
2/73
Divide -2946 by 3.
-982
-4817 divided by -1
4817
What is 11 divided by 920?
11/920
Divide -918 by 6.
-153
Divide 5 by 4780.
1/956
What is -1 divided by 1?
-1
Divide -372 by -8.
93/2
What is 2676 divided by 2?
1338
Calculate 2 divided by 107.
2/107
What is 2376 divided by 22?
108
Calculate -4014 divided by -1338.
3
Divide 614 by 307.
2
What is 4684 divided by 4?
1171
Calculate 0 divided by 14.
0
What is -1012 divided by 4?
-253
Divide 42876 by -4.
-10719
What is -2 divided by -78?
1/39
Calculate -18910 divided by -6.
9455/3
Calculate -1008 divided by -12.
84
Divide -378 by 54.
-7
0 divided by 110
0
Divide -3 by -52.
3/52
What is 22 divided by -4?
-11/2
Divide 63 by 68.
63/68
What is -11990 divided by -11?
1090
Calculate -36 divided by 1.
-36
Calculate 141 divided by 4.
141/4
What is -600 divided by -200?
3
30 divided by 3
10
What is -1 divided by 155?
-1/155
What is 252 divided by 9?
28
-3590 divided by 1795
-2
What is -1256 divided by -4?
314
Divide -315 by 63.
-5
What is -308 divided by 23?
-308/23
Divide 4 by 728.
1/182
What is -1280 divided by 640?
-2
Divide -3848 by 4.
-962
Calculate -3 divided by -82.
3/82
What is -5 divided by 21?
-5/21
-254340 divided by -4
63585
What is -4236 divided by -2?
2118
-756 divided by 9
-84
Divide 4450 by -10.
-445
Divide -22126 by 598.
-37
0 divided by -68
0
Divide 2387 by 341.
7
What is 4465 divided by 893?
5
Divide -226 by 7.
-226/7
-20680 divided by 2068
-10
What is -10812 divided by -4?
2703
Calculate -1 divided by -47.
1/47
-5 divided by 29
-5/29
What is 547 divided by -1?
-547
Divide 121 by -121.
-1
Calculate 727 divided by 2.
727/2
Calculate -1050 divided by -15.
70
Calculate 55 divided by 6.
55/6
-3432 divided by -66
52
0 divided by -43
0
What is -300 divided by -10?
30
What is 0 divided by -5955?
0
Divide -1931 by -1931.
1
15 divided by -149
-15/149
Divide -792 by 132.
-6
What is -11 divided by -117?
11/117
Divide -54 by -3.
18
-87 divided by 80
-87/80
3 divided by 210
1/70
244 divided by -4
-61
What is -5622 divided by 5622?
-1
14 divided by 60
7/30
Divide -5577 by -507.
11
Calculate 14581 divided by 7.
2083
What is -759 divided by 4?
-759/4
Divide -3864 by 161.
-24
Divide 80 by -8.
-10
Divide -1580 by -1.
1580
Calculate -40 divided by 8.
-5
Calculate -10088 divided by 8.
-1261
What is -926 divided by 3?
-926/3
What is 5 divided by -26?
-5/26
Divide 4135 by -1.
-4135
Divide 3 by 5.
3/5
Calculate 0 divided by -64.
0
-483 divided by 7
-69
-62 divided by 2
-31
-44 divided by 20
-11/5
What is 5 divided by -8?
-5/8
Calculate 8 divided by 2.
4
What is 8 divided by -11?
-8/11
What is -2924 divided by -17?
172
99 divided by 21
33/7
310 divided by -62
-5
-157 divided by -2
157/2
Calculate -1785 divided by 5.
-357
Divide -72 by -18.
4
Calculate 16 divided by 39.
16/39
Divide -36032 by -1.
36032
Divide -99 by -2.
99/2
What is -42248 divided by 4?
-10562
-5 divided by 28
-5/28
What is 99 divided by 65?
99/65
Calculate 352 divided by 4.
88
What is -300 divided by -12?
25
Calculate -522 divided by -3.
174
0 divided by -1887
0
2144 divided by 1072
2
Divide -4 by 98.
-2/49
Calculate 7760 divided by 1552.
5
-480 divided by 30
-16
Divide -46 by -1.
46
Calculate -7 divided by 9.
-7/9
What is -846 divided by 2?
-423
0 divided by -7
0
Calculate -569 divided by 3.
-569/3
What is 119 divided by 1?
119
Divide 4 by -1.
-4
What is -440 divided by 55?
-8
Divide 439 by 5.
439/5
Divide -627 by -33.
19
What is 780 divided by -1?
-780
Divide -18 by -3.
6
What is -1795 divided by -5?
359
Calculate -6 divided by 24.
-1/4
Calculate -420 divided by -140.
3
Divide 13 by 30.
13/30
Calculate 1257 divided by -419.
-3
What is 1640 divided by -4?
-410
Calculate -4050 divided by 45.
-90
-1870 divided by 85
-22
351 divided by 9
39
-11 divided by -15
11/15
Calculate 704 divided by 2.
352
0 divided by -18
0
Divide -79 by 79.
-1
Divide 248 by -4.
-62
Calculate -15546 divided by 2591.
-6
Divide 360 by 4.
90
Calculate 24680 divided by 4936.
5
Divide -27 by 27.
-1
Calculate -1820 divided by 52.
-35
Divide 292 by -73.
-4
-65528 divided by 4
-16382
-972 divided by 12
-81
What is 80 divided by 44?
20/11
Calculate 170 divided by 10.
17
15 divided by 636
5/212
29 divided by -6
-29/6
Divide 4 by -1227.
-4/1227
What is -149 divided by -7?
149/7
1196 divided by -598
-2
What is 24 divided by -6?
-4
What is 1250 divided by -25?
-50
What is 4 divided by 1?
4
What is -420 divided by -4?
105
Calculate 13 divided by 18.
13/18
404 divided by -2
-202
1681 divided by 3
1681/3
Divide -1317 by 2.
-1317/2
Divide -2112 by 2112.
-1
424 divided by 8
53
Divide -46156 by -2.
23078
Calculate 52 divided by -4.
-13
10 divided by -367
-10/367
Calculate 354 divided by 118.
3
Calculate -1377 divided by 1.
-1377
178 divided by 55
178/55
What is 175 divided by -12?
-175/12
What is -78 divided by -142?
39/71
Divide -3 by -113.
3/113
Divide 2448 by -612.
-4
What is -10 divided by -22?
5/11
Calculate -10 divided by 10.
-1
Calculate -4 divided by -8783.
4/8783
What is -8184 divided by -264?
31
Calculate -4 divided by 207.
-4/207
What is -165 divided by -3?
55
Divide -455 by -5.
91
Calculate -4 divided by -4.
1
What is 0 divided by -1832?
0
What is -14678 divided by 41?
-358
0 divided by -35
0
-47 divided by -3
47/3
Divide 5942 by -1.
-5942
Calculate -80 divided by -11.
80/11
1376 divided by 1376
1
100 divided by 4
25
Divide -693 by -231.
3
What is -270 divided by -45?
6
Calculate 300 divided by 6.
50
Divide 1508 by 1.
1508
Calculate -56 divided by 6.
-28/3
Divide -396705 by -5.
79341
Divide -231 by 33.
-7
Calculate 136 divided by 2.
68
Divide - | {
"pile_set_name": "DM Mathematics"
} |
- -7. Let y = g + 13. Is y a multiple of 5?
False
Let c = 20 + -5. Suppose -3*t + 8*t - c = 0. Is 2 a factor of t?
False
Let c = -4 + 5. Let r = 9 - 12. Is 18 + 0 - r*c a multiple of 7?
True
Let c(r) = -r + 26. Is 5 a factor of c(12)?
False
Suppose -g = -2*a + 3, -4*a - 1 = -13. Suppose -s + 2*t + 6 = -7, 2*t = -s - g. Suppose -10 = -s*o - 0*o, -5*v = -5*o - 5. Is 3 a factor of v?
True
Suppose 2*z = -3*z. Let w = 2 - z. Suppose 0 = -r - w*r + 102. Does 17 divide r?
True
Let x = 82 + -55. Is x a multiple of 22?
False
Suppose 100 = -3*y - 2*y + 4*c, -2*c - 20 = y. Is ((-8)/(-5))/((-8)/y) a multiple of 2?
True
Let w be 8 - 0 - (2 + -2). Suppose 4*l - w = 0, 0*l - 3*l - 169 = -5*i. Suppose 4*y - i = -3. Is 5 a factor of y?
False
Let w be 64/1*2/4. Let k = w + -7. Suppose -2*s + 89 = 4*v + k, -s = -3*v - 7. Is 11 a factor of s?
True
Let g(h) = -5*h + 2. Let v be 15 + (3 + 0)*-1. Let l be g(v). Let d = l + 93. Is d a multiple of 14?
False
Does 11 divide (-7)/(28/(-16)) + 15?
False
Suppose 4*f + 121 = 3*a + 2*f, 2*a = 3*f + 89. Let i = 55 - a. Does 8 divide i?
False
Let x = -4 - -5. Does 14 divide 0*x/2 + 14?
True
Let l(s) = -s**3 - 7*s**2 - 11*s + 2. Does 16 divide l(-6)?
True
Let m(q) = q - 4. Let p be m(6). Suppose 3*w + 3 = p*h, 2*h + 5 = -4*w + 1. Suppose h = -7*a + 9*a - 42. Is 7 a factor of a?
True
Suppose -n + 26 = 4*o + 2*n, n = 5*o - 23. Is o a multiple of 2?
False
Does 4 divide (-1)/3*(8 + -11)*45?
False
Suppose -4*f = f - 10. Suppose -f*d + a = -38, -70 + 0 = -4*d - a. Does 18 divide d?
True
Let t(o) = o**3 + o**2 + 7*o - 20. Is 33 a factor of t(5)?
True
Suppose -2*b - 60 = -5*b. Is 5 a factor of (-23)/(-5) + 8/b?
True
Let x(t) = -7*t**3 - 19*t**2 + t - 13. Let u(w) = 3*w**3 + 9*w**2 - w + 7. Let n(g) = 5*u(g) + 2*x(g). Let c be n(-8). Is 4 a factor of (-4)/10*(c - -1)?
True
Let a(f) = f**3 + 7*f**2 - 13*f - 12. Is a(-8) a multiple of 12?
False
Is 26 a factor of (-162)/(-6) - (1 - 0)?
True
Let p be 4 + (1 - 3) + 0. Let x(u) = u**2 + u - 1. Let q(z) = z**2 + 5*z - 3. Let i(c) = -q(c) + 4*x(c). Does 5 divide i(p)?
False
Is ((-12)/(-4) - 4)*-41 a multiple of 23?
False
Suppose f - 23 = -5*z - f, -3*z + 5 = -f. Is z a multiple of 3?
True
Suppose -3*y - 2*y = 70. Let s = 28 + y. Does 14 divide s?
True
Let o = -103 + -33. Is 18/(-99) + o/(-22) a multiple of 6?
True
Let n(c) = 3*c + 4. Let i be n(4). Let t = i - -34. Is 17 a factor of t?
False
Let f = 81 - 21. Is f a multiple of 16?
False
Suppose -2*d + 26 + 16 = 0. Suppose -d + 6 = 5*v. Does 5 divide (-8)/(1/v*2)?
False
Suppose -3*l - 4*r + 54 = -2*r, r = 3*l - 63. Suppose -4*i + l = -n - 7, -44 = -3*i - 4*n. Does 2 divide i?
True
Let p be (-2)/3 + 33/9. Suppose a + 75 = -p*n + 8*n, 4*a = -5*n + 75. Is 15 a factor of n?
True
Suppose 5*j + 61 = 2*t, 3*j + 9 = -0*j. Does 17 divide t?
False
Suppose 4*i - 8 = 0, -2*d - d - 4*i + 32 = 0. Let r = -46 - 16. Is 10 a factor of d/(-12) - r/3?
True
Let c(o) = -o**3 - 3*o**2 + o + 18. Does 14 divide c(-4)?
False
Let z(b) = 22*b**2. Is 22 a factor of z(1)?
True
Let c be (4/(-5))/((-2)/10). Suppose 0 = c*y - 0*y - 12. Does 3 divide y?
True
Let y(j) = 10*j + 2. Let k be (14/35)/(4/10). Is y(k) a multiple of 3?
True
Suppose a = z + 3, -a - 3*z + 3 = -2*a. Is 6*(9/a + 0) a multiple of 9?
True
Let m(u) = 2*u + 5*u**3 + 0 - 1 + u**3. Let h be m(1). Is (-17)/(h/(-2) + 3) a multiple of 13?
False
Let s(q) = q**3 + 2*q**2 - 2. Suppose 0 = 3*g + z + 9, -2*g + z - 3*z - 10 = 0. Let r be s(g). Is (65 + 3)/((-4)/r) a multiple of 16?
False
Let x(u) = -2*u**3 - 4*u**2 + 3 + 5*u**2 - u**2 - 3*u**2. Is x(-3) a multiple of 15?
True
Let a be ((-3)/9)/(1/(-9)). Suppose -f = a*l - 27 + 6, -24 = -5*l + 2*f. Is l a multiple of 3?
True
Let w = 507 + -354. Suppose -4*p - 29 = -w. Is p a multiple of 10?
False
Suppose -2*g + 57 = 9. Suppose -2*d + g = -6*d. Let k(b) = -b**3 - 6*b**2 - 5*b - 2. Does 14 divide k(d)?
True
Let f(x) = -x - 5. Let y be f(-7). Suppose y*m + 2*v - 48 = 0, 0 = -2*v + 4*v + 8. Does 13 divide (-4)/2 - m/(-1)?
True
Let h = 366 + -252. Is 33 a factor of h?
False
Suppose 71 = d - 0*s + s, -4*d + 284 = -2*s. Does 35 divide d?
False
Let b be ((-6)/(-4))/(2/4). Suppose -c + 18 + 3 = 0. Let a = c + b. Is a a multiple of 12?
True
Suppose -3*k - 124 = -4*u, 0 = -2*u - 3*u + 4*k + 156. Is 8 a factor of u?
False
Suppose 2 = h + 4. Is ((-44)/8)/(h/36) a multiple of 29?
False
Let d(m) = -13*m + 1. Let r be d(-1). Suppose -18*p = -r*p - 80. Does 10 divide p?
True
Let f(d) = -d**2 - d - 3. Let r be f(-3). Let k = -5 - -18. Let a = k - r. Is 11 a factor of a?
True
Let p(o) = 4*o - o**2 + 0*o - 2*o + 3 + 8*o. Let f be p(10). Suppose -f*u - u = -20. Is 2 a factor of u?
False
Let x(o) be the first derivative of -o**2 + 6*o + 6. Is x(-9) a multiple of 12?
True
Let c(r) = r**2 + 10*r - 12. Let z be c(-11). Let n be ((-57)/z - 0) + 3. Suppose 2*q - 24 = n. Is 14 a factor of q?
True
Let u = -3 + 18. Suppose 4*t = t + u. Suppose 22 = t*a - 3*a. Is a a multiple of 11?
True
Let u(i) = -i - 4. Let s(j) = 4*j + 13. Let k(b) = -4*s(b) - 14*u(b). Is 12 a factor of k(-4)?
True
Let q(h) = -16*h - 12. Is q(-6) a multiple of 12?
True
Let y(z) = 26*z - 4. Does 25 divide y(4)?
True
Let m = 28 - -38. Suppose 2*w + w = m. Is 8 a factor of w?
False
Suppose 236 + 484 = 4*a. Is 36 a factor of a?
True
Let m be (-1 + (6 - 3))/2. Suppose -q + 2 = -m. Suppose -12 = -q*k + 4*c, 0 = -4*k + 3*c - 9 + 25. Is k even?
True
Suppose 4 + 6 = -2*p + 5*z, 3*p + z + 49 = 0. Is 16 a factor of 237/5 - p/25?
True
Suppose 0 = -4*v + 2*y + 48, -4*v + 0*v = 4*y - 24. Suppose 4*n - 62 = v. Suppose 0*b = b - n. Is 18 a factor of b?
True
Let r(z) = -z**3 - 5*z**2 + 4*z + 14. Is r(-6) a multiple of 13?
True
Suppose 0*w + 5*w - 10 = 0. Suppose w*j = 4*n - 6, -3*n - n - j = -21. Suppose -16 = -k + n*m, -4*k - m - 53 = -185. Is 16 a factor of k?
True
Let s be 1/4 + 7/4. Suppose 4*q = n + 249, s*q - 57 = q - 5*n. Suppose -26 = -l + u - 2*u, q = 3*l - u. Is 11 a factor of l?
True
Let w(o) = 11*o - 5. Suppose -5*i = -5*j + 30, 3 = 3*i + 6. Is 20 a factor of w(j)?
False
Let h(n) = n**3 + 12*n**2 + 8*n - 23. Is h(-11) even?
True
Suppose -3*z + 3 = 0, -5*m = 2*z + 2*z - 804. Is 14 a factor of ((-12)/(-24))/(2/m)?
False
Let t = -9 - -6. Let f(r) = r**2 - 4*r - 3. Let a be f(t). Let k = a + 0. Does 8 divide k?
False
Let b = 167 + -112. Is 11 a factor of b?
True
Let x be (-4)/(-14) + 2298/42. Suppose -d = -5*r + 73, -x = -4*r + 4*d + 13. Is 14 a factor of r?
True
Suppose -15*z + 256 = -7*z. Is z a multiple of 8?
True
Suppose 5*y - 3*p = -5 + 335, 0 = 4*y - 3*p - 261. Is y a multiple of 15?
False
Suppose 0 + 12 = 4*r. Let m(c) = -r*c**2 - c**2 + 5*c - 1 + 5*c**2. Is m(4) a multiple of 16?
False
Suppose v - 2*j = 2*j + 3, 0 = -4*j. Suppose i = -0*b + v*b - 52, i = -b + 12. Is 14 a factor of b?
False
Let i(u) = 11*u + 18. Does 31 divide i(7)?
False
Suppose -d = -11 - 2. Let x = d + -19. Does 13 divide 8/x*(-195)/10?
True
Let y(k) = 8*k + 4. Is 31 a factor of y(15)?
True
Let j(p) = p**2 + 4*p. Let u be (4/(-8))/(2/16). Let z be j(u). Let h = 6 + z. Is h a multiple of 6?
True
Let j(v) = 2*v**3 + 3*v**2 + 3. Let f be j(-4). Let o = -37 - f. Does 18 divide o?
False
Let w(q) = 2*q + 13. Let s(x) = -x. Let b(v) = 3*s(v) + w(v). Is 2 a factor of b(0)?
False
Let j(u) = -u**2 - 1. Let y(o) = o**3 - 9*o**2 - 6*o - 12. Let g(l) = 4*j(l) - y(l). Let q be g(6). Let t = 4 + q. Is t a multiple of 6?
True
Suppose -27*t - 56 = -31*t. Does 11 divide t?
False
Let f(z) = -2*z - 8. Suppose 7 = -h - q, 14 + 4 = -2*h - q. Does 9 divide f(h)?
False
Suppose 0 = 3*n + 5*h - 16, 0 = 3*n - 3*h. Suppose 2*l + 4*o = 96, -4*l - 2*o + 180 = n*o. Is 21 a factor of l?
True
Let w(y) = y**2 + y + 1. Let h be w(0). Is 20*(9/12)/h a multiple of 15?
True
Suppose x = 3*a - 17, -3*x - 3 = 3*a - 0*x. Let c = 32 - a. Does 28 divide c?
True
Let n = -58 - -29. Let z = -50 + 99. Let h = n + z. Does 8 divide h?
False
Let i = 127 + -69. Let b = i - 26. Does 9 divide b?
False
Let z = 12 + -22. Let g be 60/(-25)*(0 - z). Is 14 a factor of 18/g*(-55 + -1)?
True
Let z(o) = 2*o - o**2 - 5*o**2 - o + o**2. Let g be z(1). Is (g/6)/((-6)/135) a multiple of 6?
False
Suppose -o = o + 188. Let z = -58 - o. Does 12 divide z?
True
Suppose 0 = 4*m - 3*o - 304, -3*m + m + 5*o + 166 = 0. Is m a multi | {
"pile_set_name": "DM Mathematics"
} |
the terms in -39*z**2 + 37*z**2 - 43*z**2 - 32*z**2.
-77*z**2
Collect the terms in 13*i**3 + 21*i**3 + 2*i - 40*i**3 - 2*i.
-6*i**3
Collect the terms in -4*b**3 + 3*b**3 + 0*b**3 + 7*b**3.
6*b**3
Collect the terms in 80*l**2 + 33*l**2 - 25*l**2.
88*l**2
Collect the terms in 0*a**2 - 2*a**2 - 167*a - 167*a + 334*a.
-2*a**2
Collect the terms in -525*x + 525*x - 3*x**2 + 9*x**2.
6*x**2
Collect the terms in -10*p + 10*p**3 + 10*p.
10*p**3
Collect the terms in -84*d**3 - 87*d**3 + 6*d**3.
-165*d**3
Collect the terms in 27 + 29 - 14*n - 56.
-14*n
Collect the terms in -4*b**3 - 24*b**3 + 26*b**3 - b**3.
-3*b**3
Collect the terms in -54*v - 54*v + 113*v.
5*v
Collect the terms in 10473 - 10473 - k**2.
-k**2
Collect the terms in 142 - o - 142.
-o
Collect the terms in 2 - 17*w**3 + 3 - 5.
-17*w**3
Collect the terms in 43*s**2 - 19*s**2 - 22*s**2.
2*s**2
Collect the terms in 6*l + 8 - 12 + 4.
6*l
Collect the terms in -7*u**3 - 53 + 105 - 15*u**2 - 52.
-7*u**3 - 15*u**2
Collect the terms in w + 810*w**2 - w - 832*w**2.
-22*w**2
Collect the terms in -10*q**2 + 33*q**2 + 20*q**2.
43*q**2
Collect the terms in -125*u**3 - 123*u**3 + 257*u**3.
9*u**3
Collect the terms in 5 - 1 + 4*g - 4.
4*g
Collect the terms in -116 + 2 + 2*k - 12.
2*k - 126
Collect the terms in a + 0*a + 4 + 2 - 3.
a + 3
Collect the terms in 9*m - 9*m - 107*m**2.
-107*m**2
Collect the terms in -31*x**2 - 4*x**3 + 0*x**3 + 2*x**3.
-2*x**3 - 31*x**2
Collect the terms in 8*m + 8*m - 8*m + m.
9*m
Collect the terms in 3 + 16*v**2 - 3 - 99*v**2.
-83*v**2
Collect the terms in 562 - 191 - 185 - 186 - 2*f**3.
-2*f**3
Collect the terms in -2*w**2 + 23*w + 31*w - 54*w.
-2*w**2
Collect the terms in 0*w**2 - w**2 + 6*w**2 - w**2 - w**2.
3*w**2
Collect the terms in 4*z**3 - 411779 + 411779.
4*z**3
Collect the terms in -222*l + 78*l + 71*l + 76*l.
3*l
Collect the terms in 201*k - 26*k**2 - 201*k.
-26*k**2
Collect the terms in 14*p**3 - 648*p - 3*p**3 + 648*p.
11*p**3
Collect the terms in -18*w**3 + 24*w**3 + 5*w**2 + w**2 - 6*w**2.
6*w**3
Collect the terms in 5*i + 17*i + 16*i.
38*i
Collect the terms in -t**3 - 5 - 3 + 0*t**3 + 1.
-t**3 - 7
Collect the terms in 384 - 61*l**2 - 191 - 193.
-61*l**2
Collect the terms in 3*a**3 - 1046*a**2 + 1046*a**2.
3*a**3
Collect the terms in -q**2 + 2*q**2 + 3*q**2 + 3*q**2.
7*q**2
Collect the terms in 3 + 0*y + 3 + 4*y - 6.
4*y
Collect the terms in 649*p**2 + 417*p**2 + 51*p**2.
1117*p**2
Collect the terms in -30*u + 9*u + 5*u**3 - 8*u**3.
-3*u**3 - 21*u
Collect the terms in -751*z**3 + 37*z**3 - 5*z**3.
-719*z**3
Collect the terms in -26*a**2 + 108*a**2 - 33*a**2 - 29*a**2 - 18*a**2.
2*a**2
Collect the terms in 2*y**2 + 57*y**3 - 2*y**2.
57*y**3
Collect the terms in 5 - 7*q - 5 + 0*q.
-7*q
Collect the terms in -14334421*z + 14334421*z + 2*z**3.
2*z**3
Collect the terms in 11*i**3 + 16*i**2 - i**3 - 16*i**2.
10*i**3
Collect the terms in 41*k - 93*k + 52*k + 5*k**2.
5*k**2
Collect the terms in -70*y**2 + 37*y**2 + 35*y**2.
2*y**2
Collect the terms in -4*m - 151661 + 151661.
-4*m
Collect the terms in -d + 19*d - 16*d + d.
3*d
Collect the terms in -2*w + 2*w + 22*w**3 - 5*w**3.
17*w**3
Collect the terms in -8*l**3 + 5*l**3 + l**3.
-2*l**3
Collect the terms in 0*a**3 + 0*a**3 - a**3 - a**3.
-2*a**3
Collect the terms in -d - 3*d + 56 + 54 - 108.
-4*d + 2
Collect the terms in -25*i**3 + 11*i**3 + 21*i**3.
7*i**3
Collect the terms in 412*p**3 + 7*p - 4 - 2 + 4.
412*p**3 + 7*p - 2
Collect the terms in 158 + 3*s**3 - 158.
3*s**3
Collect the terms in -13*t**2 + 9*t**2 - 44 + 44.
-4*t**2
Collect the terms in 4515*a**2 - 4515*a**2 + 4*a**3.
4*a**3
Collect the terms in 3*q - 6325 + 6325 + 6*q**2.
6*q**2 + 3*q
Collect the terms in 19*c + 7*c - 41*c.
-15*c
Collect the terms in 2 + 11*a + 19*a - 2 - 48*a.
-18*a
Collect the terms in -1 + 4*x**2 - 2*x**2 - 5*x**2.
-3*x**2 - 1
Collect the terms in 29*b + 23*b - 49*b.
3*b
Collect the terms in 18*w**2 + 4*w**2 + 0*w**2 - 13*w**2.
9*w**2
Collect the terms in -18*d + 15*d - 134*d - 77*d.
-214*d
Collect the terms in q**2 + 23292 - 23292.
q**2
Collect the terms in -9*n**3 + 19*n**2 - 19*n**2 + n**3.
-8*n**3
Collect the terms in 24*h**3 + 0*h**3 - 3*h**3 - 20*h**3.
h**3
Collect the terms in 22*l**3 - 23*l**3 - 5*l**3.
-6*l**3
Collect the terms in -60*d + 2*d - 102*d.
-160*d
Collect the terms in -27*h**3 - 532*h**2 + 532*h**2 + 26*h**3.
-h**3
Collect the terms in -16 + 20*b**3 + 8 + 8.
20*b**3
Collect the terms in -27*n - 462*n**2 - 28*n + 55*n.
-462*n**2
Collect the terms in -68*x - 4*x - 12*x.
-84*x
Collect the terms in 14*n**2 + 95*n**3 - 98*n**3 - 14*n**2.
-3*n**3
Collect the terms in -27*q - 3 + 7 + 0 + 13*q.
-14*q + 4
Collect the terms in 21*v**3 - 11*v**3 + 14*v**3.
24*v**3
Collect the terms in -n - 6*n + 4*n - 19*n.
-22*n
Collect the terms in -10*l - 26*l**3 + 10*l.
-26*l**3
Collect the terms in 81 + 3*h - 81.
3*h
Collect the terms in -9 + 1621*a + 3 - 1623*a.
-2*a - 6
Collect the terms in -22*v - 24*v + 4 - 18*v + 66*v.
2*v + 4
Collect the terms in b + 16*b + 27*b + 6 - 3*b.
41*b + 6
Collect the terms in 256486*x - 8*x**3 - 256486*x.
-8*x**3
Collect the terms in 11*m - 11*m + 12*m**2 - 44*m**2.
-32*m**2
Collect the terms in -32*d - 3*d**2 + 32*d - 8*d**2 + 7*d**2.
-4*d**2
Collect the terms in -1819*o**2 + 3627*o**2 - 1809*o**2.
-o**2
Collect the terms in 9*l**2 - 9*l**2 - 5*l**2 - 13*l**2.
-18*l**2
Collect the terms in -13*d + 15*d + 3*d**3 - 2*d.
3*d**3
Collect the terms in -7*n + 16*n + 4*n.
13*n
Collect the terms in 27*c**3 - 6*c**3 - 817 + 815.
21*c**3 - 2
Collect the terms in -160 + 81 + 79 - 7*p.
-7*p
Collect the terms in 199*r - 197*r + 3 - 3.
2*r
Collect the terms in 9*x + 7 + 5 - 12.
9*x
Collect the terms in 58 - 9*q**2 - 58 - 2*q.
-9*q**2 - 2*q
Collect the terms in 11*v - 26*v + 13*v.
-2*v
Collect the terms in 25*v**3 - 15*v**3 + 2*v**2 - 2*v**2.
10*v**3
Collect the terms in -3126*c + 3126*c - 2*c**3.
-2*c**3
Collect the terms in 0*d**2 + 4*d**2 + 2*d**2.
6*d**2
Collect the terms in -3*x - 10*x + 6*x + 5*x.
-2*x
Collect the terms in -50*m**2 - 18*m**2 + 10 - 59*m**2.
-127*m**2 + 10
Collect the terms in 10*f**2 + 11*f**2 - 24*f**2 + 4*f**2.
f**2
Collect the terms in 17*x - 61*x - 99*x.
-143*x
Collect the terms in -5*o + 45*o - 17*o.
23*o
Collect the terms in 2032 - 2032 + v**3.
v**3
Collect the terms in 5*d + 2*d - 5*d + 314 - 125.
2*d + 189
Collect the terms in 55 - 33 + 26*w**3 - 22.
26*w**3
Collect the terms in -9*a + 8*a + 21*a.
20*a
Collect the terms in 150*y - 24*y + 90*y.
216*y
Collect the terms in -6*h**2 - 2*h**2 + 371 + 9*h**2.
h**2 + 371
Collect the terms in y + 10*y + 2*y.
13*y
Collect the terms in 0*h + 0*h + 98*h**2.
98*h**2
Collect the terms in -69*i - 9 + 9 + 49*i.
-20*i
Collect the terms in 19 - 4*n - 30 - 2*n**2 + 4*n.
-2*n**2 - 11
Collect the terms in 14*m**3 - 19*m**3 + 11*m**3.
6*m**3
Collect the terms in -2728*n - 2 + 2743*n + 2.
15*n
Collect the terms in 2*u**3 + u**3 - 8*u**3 - 28*u**3.
-33*u**3
Collect the terms in -5*q**2 + q**2 - q**2 + 4*q**2.
-q**2
Collect the terms in 22 - 7*o + 10*o - 22.
3*o
Collect the terms in 0 + 0 + 171*b**3 + 0.
171*b**3
Collect the terms in -2*s**2 + 74612 - 74612.
-2*s**2
Collect the terms in 15*n - 2*n - 2 + 9*n.
22*n - 2
Collect the terms in 102*l**2 + 99*l**2 - 198*l**2 - 2 + 2.
3*l**2
Collect the terms in -4*x - 6 - 2*x + 2*x.
-4*x - 6
Collect the terms in 19 + 65*l - 9 - 10.
65*l
Collect the terms in 103*t**2 - 216*t**2 + 113*t**2 - 2*t**3.
-2*t**3
Collect the terms in -40*p - 42*p + 170*p - 48*p - 46*p.
-6*p
Collect the terms in -29*i**2 + 14*i**2 + 14*i**2.
-i**2
Collect the terms in 0*y**3 + 3*y**3 - y**3 - y**3 - 3*y**3.
-2*y**3
Collect the terms in 5*o + 19*o + 3*o**2 - 8*o.
3*o**2 + 16*o
Collect the terms in -48*l + 5*l**2 + 2*l**2 - 4*l**2.
3*l**2 - 48*l
Collect the terms in -112*p**2 + 4 + 109*p**2 - 4.
-3*p**2
Collect the terms in 29*j - 12*j - 26*j.
-9*j
Collect the terms in 112*n + 2*n**2 - 112*n - 9*n**2.
-7*n**2
Collect the terms in -15*l**3 + 65*l + 16*l**3 + 0*l.
l**3 + 65*l
Collect the terms in 7 - 16 - 25*n + 9.
-25*n
Collect the terms in 762*u + 0*u**2 - 3*u**2 - 65*u.
-3*u**2 + 697*u
Collect the terms in 3*w**2 + 7*w**2 + 9*w**2 - 7*w**2.
12*w**2
Collect the terms in -1 + 2 + 222*k**2 - 1.
222*k**2
Collect the terms in -6 + 4 - 3 + p**3 + 3.
p**3 | {
"pile_set_name": "DM Mathematics"
} |
3*w = -4*x + i. What are the prime factors of x?
13
Let k(t) = 10*t - 16. Let b be k(7). Let u be 12/b + (-824)/(-18). Let y = -40 + u. What are the prime factors of y?
2, 3
Let f(a) = -a - 1. Let p be f(9). Let x(m) = 93*m**3 + 876*m**2 - 866*m**2 - 92*m**3 - 2*m + 1. What are the prime factors of x(p)?
3, 7
Let y(x) = -x**3 - 10*x**2 - 20*x - 167. What are the prime factors of y(-30)?
18433
Let w = 53 - 51. Let s be 0/(0 - (-4)/w). Suppose -4*j + 264 - 44 = s. List the prime factors of j.
5, 11
Suppose q + 9 = 10. Let c be (-42)/14 - (-52 + q). Let z = c - 30. List the prime factors of z.
2, 3
Let r(l) = -1. Let g(i) = i**2 + 10*i + 14. Let k(d) = g(d) - 3*r(d). What are the prime factors of k(-16)?
113
Let h(l) = -197*l - 844. What are the prime factors of h(-57)?
5, 31, 67
Suppose -27*a = -22*a - 10. Suppose -5*c - o - 2*o = -26, -2*c = a*o - 8. Let d(z) = z**2 + 15*z + 10. List the prime factors of d(c).
2, 41
Suppose -5*z = 4*p - 324, -4*z + 258 = -35*p + 37*p. Suppose 142 = z*q - 62*q. List the prime factors of q.
71
Suppose -176*p = -180*p - 892. Let j = 283 - p. What are the prime factors of j?
2, 11, 23
Let u(t) = -22*t - 13. Suppose 2 - 4 = -x. Suppose -x*m = -2*y + 5*y - 4, 4*m - 4*y = -32. List the prime factors of u(m).
3, 5
Let q be 2 - 668/(-4) - (-2 - 1). Let p = q - -167. List the prime factors of p.
3, 113
Let z(k) = -k - 2 - 3 + 3*k**2 - 4 + 0. What are the prime factors of z(5)?
61
Suppose 3*j - 7*j = 3*r - 441, -109 = -j - r. Let p(o) = -o**2 + 7*o + 9. Let z be p(8). List the prime factors of 2 + z + -2 + j/6.
2, 5
Suppose 2*p - p - 9302 = -0*p. What are the prime factors of p?
2, 4651
Let n(b) = -883*b + 6133. What are the prime factors of n(-46)?
46751
Let y = 284 - 238. Suppose 48*t = y*t + 2382. List the prime factors of t.
3, 397
Suppose -32*r = -27*r + 620. Let a = r + 57. Let m = 39 - a. What are the prime factors of m?
2, 53
Let n(y) = -34*y + 20. Let h be n(-11). Suppose -2*o + h = 2*g - 970, -4*g + 5*o = -2755. What are the prime factors of g?
5, 137
List the prime factors of -5 - -3 - (4 + (-2600 - 3 - -5)).
2, 3
List the prime factors of (-112)/672 + 330739/6.
199, 277
Suppose 0 = -81*g + 99*g - 147348. What are the prime factors of g?
2, 4093
Suppose 16*k + 2*s = 11*k + 34, 2*k - 14 = -s. List the prime factors of (7 - 1)/(k/1024).
2
Let u be 6/(-4)*((-5544)/(-27))/7. List the prime factors of (-2 - 1) + (-11)/(u/1152).
3, 5, 19
Let b be ((-5)/5)/(3/42). Let r = b - 0. List the prime factors of (28/(-5))/(0 - r/(-315)).
2, 3, 7
Let f(a) be the second derivative of 13*a**3/6 + 23*a**2/2 - 7*a. List the prime factors of f(7).
2, 3, 19
Let q(g) = g**3 + 30*g**2 + 7*g + 224. Let n be q(-30). List the prime factors of n/189*3 - (-2770)/9.
2, 7, 11
Let v = 1619 + 813. What are the prime factors of v?
2, 19
Let j be -8*((-25)/(-5))/(-10). Suppose j*y - 12 = 8. Suppose -y*q - x + 103 = 0, 5*q + 5*x = 45 + 70. List the prime factors of q.
2, 5
Let k(x) = 63*x**3 - 8*x**2 - x + 59. List the prime factors of k(4).
37, 107
Let g = -20639 + 29602. List the prime factors of g.
8963
Let s = 9942 + -5587. List the prime factors of s.
5, 13, 67
Suppose 8*p + 18 = 82. Let o be 12/p*556/2. Suppose 2*u - o = -5*b, 9*u - 5*b = 6*u + 638. List the prime factors of u.
211
Suppose 567628 = -66*x + 3199114. What are the prime factors of x?
13, 3067
Suppose -9*t + 10797 = -18795. List the prime factors of t.
2, 3, 137
What are the prime factors of (1 - 797)*760/(-80)?
2, 19, 199
Let t = 12734 - -5959. List the prime factors of t.
3, 31, 67
Let n(o) = 230*o**2 + 155*o + 881. List the prime factors of n(-6).
8231
Let h = 12432 + 32050. List the prime factors of h.
2, 23, 967
Suppose 5*u + 35*a = 37*a + 7262, 4*u + 4*a - 5804 = 0. What are the prime factors of u?
2, 3, 11
Let k = -35240 + 91620. List the prime factors of k.
2, 5, 2819
Suppose 6*g + 123 = 2*j + g, -2*j - 3*g = -99. Let p = 491 - 427. Let b = p - j. List the prime factors of b.
2, 5
Suppose 28*x - 64 = 76. Suppose 15*o - 3347 = 10*o + 2*w, x*o - 3335 = 5*w. What are the prime factors of o?
11, 61
Let t be (1/4)/(-1 - (-3)/4). What are the prime factors of 1002*4/8*(t - -2)?
3, 167
List the prime factors of 3021 + (6 - -4)/(-5).
3019
Suppose -17*k - 23*k + 80 = 0. Suppose 4*m = k*n - 4*n + 1604, 2005 = 5*m - 5*n. What are the prime factors of m?
401
Suppose 9*f = 4*f - 950. Let h be 4/(-38) - 20/f. Suppose -4*t - t + 825 = h. What are the prime factors of t?
3, 5, 11
Let x(z) = -z**3 - 10*z**2 + 5*z + 26. Let b be x(-10). Let k be (-560)/b - 4/(-6). Suppose 0 = -14*o + 6*o + k. List the prime factors of o.
3
Let s(z) = 9284*z - 9261*z - 4 + 35*z**2 + 3. What are the prime factors of s(-5)?
3, 11, 23
Suppose 60*b = 80*b - 320. List the prime factors of ((-4856)/b)/(1/(-2)*1).
607
Suppose c + 5*t - 5235 = 0, 753*t = 2*c + 752*t - 10514. List the prime factors of c.
5, 1051
Let l(v) = 2*v + 4. Let n be l(0). Suppose n*x + 581 = 9. Let h = x - -296. List the prime factors of h.
3, 17
Let u be 16/28 + (-12)/(-28). Let c be u/(-4) + 15/12 - -2. What are the prime factors of c/((-108)/(-2656)) + (-2)/(-9)?
2, 37
Suppose j + 4*p = -6, 7*j = 11*j + 2*p - 18. Suppose j*f = 735 + 1995. What are the prime factors of f?
5, 7, 13
Suppose 292 = u - 7591 + 42. What are the prime factors of u?
7841
Let v(u) = 47*u**2 - 3. Let i(m) = 47*m**2 + m - 2. Let o(r) = 3*i(r) - 2*v(r). List the prime factors of o(2).
2, 97
Suppose -2*q + 83 - 63 = 0. Suppose 13*x - q = 237. What are the prime factors of x?
19
Let h be 5/(7 + -6) - 6. What are the prime factors of (h - 2071)*(-18)/36 + 3?
1039
Suppose -7*q = -1420 - 10760. Suppose -19*b = -16*b - q. What are the prime factors of b?
2, 5, 29
Let w(a) = -991*a - 2655. What are the prime factors of w(-15)?
2, 3, 5, 11, 37
Let f = -19254 - -20566. What are the prime factors of f?
2, 41
Let j(w) = -196*w + 14931. List the prime factors of j(8).
7, 23, 83
Let b be 27/12*-8*4. Let h = b + 142. Suppose 4*t = -4*c + 44, 5*c + 2*t = -0*t + h. What are the prime factors of c?
2
Let d = 55398 - 32739. What are the prime factors of d?
3, 7, 13, 83
Let g = -99 + 102. Suppose -g*f + i + 3 + 2 = 0, 5*f + 15 = -3*i. Suppose -2*c + 221 = -5*t + 661, -3*t - 3*c + 243 = f. List the prime factors of t.
2, 43
Let j(s) be the second derivative of 2*s**3/3 + 19*s**2/2 - s. Let f be (-1215)/(-55) - 14/154. What are the prime factors of j(f)?
107
Suppose 13 = -5*n - 12, 5*a - 4*n + 2780 = 0. List the prime factors of (780/14)/((-20)/a) - 5.
5, 311
Suppose 62 - 22 = 8*z. Suppose 2*c - 131 = -i, 2*c - z*i = -2*c + 297. Suppose 13*h + c = 15*h. List the prime factors of h.
2, 17
Suppose 2*m = -2*b - 1108, 74*b = 79*b + 4*m + 2775. Suppose -c - 1660 - 236 = 5*n, -376 = n + c. Let l = n - b. List the prime factors of l.
179
Let t(b) = -27*b + 189. Let n = -47 - -14. List the prime factors of t(n).
2, 3, 5
Suppose -8*b + 42 - 50 = 0. List the prime factors of 0 + (b - -3) + (-6504)/(-12).
2, 17
What are the prime factors of 18282 + 16 - (-8)/(8/(-5))?
11, 1663
List the prime factors of (1 + (1 - -2))*(-395)/632*-9550.
5, 191
Suppose -60*q = 20*q - 19*q - 283833. List the prime factors of q.
3, 11, 47
Suppose 47*a + 177951 - 2367916 = 0. What are the prime factors of a?
5, 9319
Let q(h) = -547*h - 10. Let a be q(-2). Let o = -656 + a. What are the prime factors of o?
2, 107
Let j(o) = -o**2 - 10*o - 18. Let q be j(-3). Suppose q*y = -l + y + 129, 3*y + 483 = 4*l. List the prime factors of l.
3, 41
Suppose 3*s - 20709 + 4984 = 2*v, s - 3*v = 5251. List the prime factors of s.
13, 31
Let h(v) be the second derivative of -53*v**3/6 - 287*v**2/2 - 2*v - 13. What are the prime factors of h(-11)?
2, 37
Let v = -34289 + 48209. List the prime factors of v/45 + (-1)/3.
3, 103
Suppose -3*q = -5*g - 221, -3*g + 2 = 5. Let r = -72 + q. Suppose -3*h + 25 + 242 = r. What are the prime factors of h?
89
What are the prime factors of ((-20)/(-15))/((-7)/(-31731)*1)?
2, 1511
Let k(p) = 2569*p**2 + 67*p - 1. What are the prime factors of k(-3)?
13, 41, 43
Let b be ((-165)/(-2))/5*(-4)/6. Let u be (2/(-2))/(b + 12). List the prime factors of u/(2/4*(-10)/565).
113
List the prime factors of (15044/(-6))/(12/(-18)).
3761
Let n = 2340 - 1323. Suppose 74 = 4*q + 2*w - 742, 0 = -5*q - w + n. List the | {
"pile_set_name": "DM Mathematics"
} |
04274, 272751, 341228, 409705?
68477*g - 1157
What is the u'th term of 189384037, 378768068, 568152099, 757536130, 946920161?
189384031*u + 6
What is the n'th term of 564, 883, 1386, 2085, 2992?
2*n**3 + 80*n**2 + 65*n + 417
What is the p'th term of 18050755, 18050751, 18050747?
-4*p + 18050759
What is the r'th term of 3023, 7591, 15265, 27599, 46147, 72463, 108101, 154615?
259*r**3 - r**2 + 2758*r + 7
What is the u'th term of -203676, -207414, -211152, -214890?
-3738*u - 199938
What is the o'th term of 318454, 1273765, 2865942, 5094985, 7960894, 11463669?
318433*o**2 + 12*o + 9
What is the n'th term of -297278, -297170, -297062, -296954, -296846?
108*n - 297386
What is the a'th term of -53424, -106921, -160444, -214005, -267616?
-2*a**3 - a**2 - 53480*a + 59
What is the p'th term of -29236, -57602, -85980, -114376, -142796, -171246, -199732?
-p**3 - 28359*p - 876
What is the r'th term of -1224009, -1224065, -1224159, -1224291, -1224461, -1224669?
-19*r**2 + r - 1223991
What is the n'th term of 68763, 137297, 205831, 274365?
68534*n + 229
What is the w'th term of 1338, 2878, 4832, 7410, 10822?
35*w**3 - 3*w**2 + 1304*w + 2
What is the m'th term of -568, -2331, -5274, -9397?
-590*m**2 + 7*m + 15
What is the n'th term of 10535, 23539, 36543, 49547, 62551?
13004*n - 2469
What is the p'th term of 12954526, 25909049, 38863572, 51818095, 64772618, 77727141?
12954523*p + 3
What is the p'th term of -10949503, -10949504, -10949505?
-p - 10949502
What is the s'th term of -428, 71, 890, 2041, 3536, 5387?
2*s**3 + 148*s**2 + 41*s - 619
What is the a'th term of 12153, 12095, 11941, 11643, 11153, 10423?
-8*a**3 - 2*a + 12163
What is the c'th term of -6881, -6482, -6073, -5648, -5201, -4726?
c**3 - c**2 + 395*c - 7276
What is the n'th term of -700, -1435, -3404, -7225, -13516, -22895, -35980?
-103*n**3 + n**2 - 17*n - 581
What is the k'th term of 5189796, 10379590, 15569384?
5189794*k + 2
What is the k'th term of 5366179, 10732362, 16098545?
5366183*k - 4
What is the d'th term of 57313, 114725, 172099, 229417, 286661, 343813, 400855?
-3*d**3 - d**2 + 57436*d - 119
What is the l'th term of -256051, -512409, -768767, -1025125, -1281483, -1537841?
-256358*l + 307
What is the z'th term of 569, 1209, 2311, 3881, 5925?
z**3 + 225*z**2 - 42*z + 385
What is the z'th term of -17488, -34978, -52564, -70294, -88216?
-8*z**3 - 17434*z - 46
What is the w'th term of 395670, 395680, 395688, 395694?
-w**2 + 13*w + 395658
What is the x'th term of -146048, -584189, -1314436, -2336789, -3651248, -5257813?
-146053*x**2 + 18*x - 13
What is the w'th term of -23060, -22445, -21830?
615*w - 23675
What is the a'th term of -42, -150, -380, -786, -1422, -2342, -3600?
-9*a**3 - 7*a**2 - 24*a - 2
What is the w'th term of 2464173, 2464174, 2464173, 2464170?
-w**2 + 4*w + 2464170
What is the u'th term of 15273, 30581, 45881, 61167, 76433, 91673?
-u**3 + 2*u**2 + 15309*u - 37
What is the j'th term of 277677, 277648, 277619, 277590, 277561?
-29*j + 277706
What is the f'th term of -120503, -240955, -361397, -481823, -602227, -722603, -842945?
f**3 - f**2 - 120456*f - 47
What is the h'th term of -216, -439, -732, -1095, -1528?
-35*h**2 - 118*h - 63
What is the j'th term of -13807, -13808, -13809, -13810?
-j - 13806
What is the t'th term of 4426, 35485, 119824, 284083, 554902, 958921?
4440*t**3 - 21*t + 7
What is the i'th term of 3654, 3464, 3294, 3150, 3038, 2964, 2934?
i**3 + 4*i**2 - 209*i + 3858
What is the k'th term of 468722, 1874894, 4218514, 7499582, 11718098, 16874062, 22967474?
468724*k**2 - 2
What is the i'th term of 109, 10, -163, -422, -779, -1246?
-2*i**3 - 25*i**2 - 10*i + 146
What is the u'th term of 10366, 16250, 22132, 28012, 33890?
-u**2 + 5887*u + 4480
What is the f'th term of -2326, -3691, -6532, -11587, -19594, -31291, -47416, -68707?
-123*f**3 - 504*f - 1699
What is the v'th term of -476259, -952588, -1428989, -1905462, -2382007, -2858624?
-36*v**2 - 476221*v - 2
What is the q'th term of 31834, 31906, 31974, 32038, 32098?
-2*q**2 + 78*q + 31758
What is the q'th term of 14261, 27096, 39931, 52766, 65601, 78436?
12835*q + 1426
What is the j'th term of -1666, 34348, 132124, 322544, 636490, 1104844, 1758488, 2628304?
5147*j**3 - j**2 - 12*j - 6800
What is the u'th term of -5702, -11463, -17290, -23183?
-33*u**2 - 5662*u - 7
What is the x'th term of 326079, 1304404, 2934943, 5217690, 8152639, 11739784, 15979119?
-x**3 + 326113*x**2 - 7*x - 26
What is the t'th term of -21521, -86399, -194607, -346145?
-21665*t**2 + 117*t + 27
What is the p'th term of -18098, -18077, -18040, -17987, -17918?
8*p**2 - 3*p - 18103
What is the x'th term of -1252, -5662, -13230, -23956, -37840, -54882?
-1579*x**2 + 327*x
What is the j'th term of -3458, -6046, -7760, -8588, -8518, -7538, -5636, -2800?
2*j**3 + 425*j**2 - 3877*j - 8
What is the z'th term of 3601, 13542, 30121, 53350, 83241?
2*z**3 + 3307*z**2 + 6*z + 286
What is the v'th term of 16288673, 32577316, 48865959, 65154602, 81443245, 97731888?
16288643*v + 30
What is the r'th term of -2507373, -5014748, -7522123, -10029498, -12536873?
-2507375*r + 2
What is the o'th term of 1188, -2852, -6892, -10932, -14972, -19012?
-4040*o + 5228
What is the v'th term of 295196, 295245, 295306, 295385, 295488, 295621?
v**3 + 42*v + 295153
What is the n'th term of -4927307, -9854665, -14782023, -19709381?
-4927358*n + 51
What is the g'th term of -229848, -229875, -229902, -229929, -229956, -229983?
-27*g - 229821
What is the k'th term of 72767, 72754, 72739, 72722, 72703, 72682, 72659?
-k**2 - 10*k + 72778
What is the b'th term of -1105566, -4422273, -9950124, -17689113, -27639234?
b**3 - 1105578*b**2 + 20*b - 9
What is the d'th term of -4877675554, -4877675552, -4877675548, -4877675542?
d**2 - d - 4877675554
What is the i'th term of 7628, 15354, 23276, 31490, 40092, 49178, 58844?
16*i**3 + 2*i**2 + 7608*i + 2
What is the o'th term of -1977392, -1977391, -1977390?
o - 1977393
What is the t'th term of -146, -21, 322, 991, 2094, 3739?
18*t**3 + t**2 - 4*t - 161
What is the v'th term of 116, 1138, 3078, 5936, 9712, 14406?
459*v**2 - 355*v + 12
What is the y'th term of -4424995, -8849986, -13274977, -17699968, -22124959?
-4424991*y - 4
What is the l'th term of -1903, -3928, -5953, -7978?
-2025*l + 122
What is the t'th term of 12282, 98286, 331698, 786222, 1535562, 2653422?
12284*t**3 + 16*t - 18
What is the m'th term of 28108, 112170, 252272, 448414, 700596?
28020*m**2 + 2*m + 86
What is the p'th term of 10570, 10430, 10294, 10162, 10034, 9910, 9790?
2*p**2 - 146*p + 10714
What is the z'th term of 160023, 640075, 1440175, 2560335, 4000567?
2*z**3 + 160012*z**2 + 2*z + 7
What is the u'th term of -871518, -871555, -871592, -871629, -871666?
-37*u - 871481
What is the p'th term of -263684, -263621, -263558, -263495, -263432?
63*p - 263747
What is the m'th term of -1588800, -1588795, -1588790?
5*m - 1588805
What is the b'th term of 11542761, 23085474, 34628187, 46170900, 57713613, 69256326?
11542713*b + 48
What is the t'th term of -194906230, -194906232, -194906236, -194906242?
-t**2 + t - 194906230
What is the u'th term of 589, 839, 1271, 1885, 2681, 3659?
91*u**2 - 23*u + 521
What is the f'th term of -11493, -23018, -34597, -46260, -58037, -69958, -82053, -94352?
-5*f**3 + 3*f**2 - 11499*f + 8
What is the v'th term of -379249, -758668, -1138085, -1517500?
v**2 - 379422*v + 172
What is the w'th term of 11591590, 23183185, 34774780?
11591595*w - 5
What is the u'th term of 15739, 32191, 48499, 64591, 80395, 95839, 110851, 125359?
-12*u**3 + 16536*u - 785
What is the b'th term of -6348, -19057, -31764, -44469?
b**2 - 12712*b + 6363
What is the v'th term of -2350, -4860, -7710, -11074, -15126, -20040, -25990, -33150?
-29*v**3 + 4*v**2 - 2319*v - 6
What is the d'th term of -945618, -1891237, -2836856, -3782475, -4728094, -5673713?
-945619*d + 1
What is the j'th term of -80416, -321550, -723442, -1286092, -2009500?
-80379*j**2 + 3*j - 40
What is the y'th term of 5328, 4402, 3478, 2556, 1636, 718, -198?
y**2 - 929*y + 6256
What is the n'th term of 11725492, 11725550, 11725608, 11725666, 11725724, 11725782?
58*n + 11725434
What is the b'th term of 827114, 827116, 827118, 827120, 827122, 827124?
2*b + 827112
What is the l'th term of 1599, 9014, 21339, 38574, 60719, 8 | {
"pile_set_name": "DM Mathematics"
} |
+ 4?
14460*h**2 - 144
What is the second derivative of 458*g**5 + 7*g - 144 wrt g?
9160*g**3
Find the first derivative of l*w**3 - 5509*l + 2795*w**3 wrt w.
3*l*w**2 + 8385*w**2
Find the third derivative of -23932*y**6 - 7*y**2 + 2*y + 959.
-2871840*y**3
Find the third derivative of -2592*k**3*u**3 - 4*k**3*u**2 + 2*k**3 - 24*k**2*u**2 + 2*k**2 wrt u.
-15552*k**3
What is the second derivative of k*q*s**4 - 52*k*q*s**2 - 17*k*q*s - 6*k*s + 32*q*s**2 - 4*q wrt s?
12*k*q*s**2 - 104*k*q + 64*q
What is the third derivative of 2115*q**5 + 34*q**2 + 31 wrt q?
126900*q**2
Differentiate 3*t*v**2 + 26*t*v - 2*t + 98 wrt v.
6*t*v + 26*t
What is the third derivative of -156*h**4 + 178*h**2?
-3744*h
Find the second derivative of -8*b**3*n**3 - 8*b**3*n + 5*b**3 + 4*n**5 wrt n.
-48*b**3*n + 80*n**3
Find the second derivative of -2465*t**2*v**3*y + 4*t*v*y + 9*v**3 - 24*y wrt t.
-4930*v**3*y
What is the third derivative of -81*q**3 - 4*q**2 - 11?
-486
Find the first derivative of -5*a**3 - 53*a**2*p**3 + a*p**3 - 440*p**3 wrt a.
-15*a**2 - 106*a*p**3 + p**3
Find the second derivative of 15955*u**2 + 30487*u wrt u.
31910
What is the second derivative of 2*q**3*r*s**4 - 3*q**3*r*s**3 - q**3*r*s + 2*q**3 - 21*r*s - s wrt s?
24*q**3*r*s**2 - 18*q**3*r*s
Find the first derivative of -i**3*k*l - 964*i**3*l - 42*i**2*k - 2*i*k*l wrt k.
-i**3*l - 42*i**2 - 2*i*l
What is the third derivative of -2*v**5 + 1609*v**4 + 10166*v**2?
-120*v**2 + 38616*v
Find the first derivative of 180*g*p**3 - 2*g*p**2 + 3196*p**3 wrt g.
180*p**3 - 2*p**2
What is the second derivative of -10632*g*m**2 - 2*g*m - 861*g wrt m?
-21264*g
What is the first derivative of -2*k**3*z**3 - 45*k*z + 115*z**3 wrt k?
-6*k**2*z**3 - 45*z
What is the second derivative of -511*a**2 + 137*a wrt a?
-1022
What is the first derivative of 11*a**3*g - 2*a**3 - 6*a*g**2 + 5*a wrt g?
11*a**3 - 12*a*g
Find the third derivative of -227*r**5 - 93*r**2 - 2 wrt r.
-13620*r**2
What is the derivative of h**3*w + 7622*h**3 - h**2*w**4 + 3243*h**2*w + h**2 wrt w?
h**3 - 4*h**2*w**3 + 3243*h**2
Find the second derivative of 4*s*v**5 + 15*s*v**2 - 8611*s*v - 11*v**5 wrt v.
80*s*v**3 + 30*s - 220*v**3
What is the first derivative of -13677*j*v**2 - v**2 + 385*v + 7 wrt j?
-13677*v**2
Find the second derivative of 784*p**4 - 8*p**3 + p - 6602 wrt p.
9408*p**2 - 48*p
What is the third derivative of -40*o*r*t**6 - 10*o*r*t**3 - 6*o*r*t**2 - 6*o*r*t - r*t - 2*t wrt t?
-4800*o*r*t**3 - 60*o*r
What is the derivative of -2667*s**2 + 3084 wrt s?
-5334*s
What is the third derivative of -h*t**4 + 18*h*t**3 + 3*h*t**2 - t**4 - 2*t**3 + 173*t**2 wrt t?
-24*h*t + 108*h - 24*t - 12
What is the third derivative of 85*c**4 + 4*c**3*s**2 + 2*c**3*s + 818*c**2*s**2 - 5*c*s**2 wrt c?
2040*c + 24*s**2 + 12*s
Find the second derivative of -39*u**2*v**3 - u**2*v + 48*u**2 + u*v - 2*v**3 wrt v.
-234*u**2*v - 12*v
Differentiate -10*a*q + 63*a*r**2 + a*r + 2*q*r**4 - 44*q wrt r.
126*a*r + a + 8*q*r**3
What is the third derivative of w*y**3 + 2*w*y**2 + 192*w*y - 9*y**3 wrt y?
6*w - 54
Find the second derivative of 3*j**3*s**2 + j**2*s**3 - 3*j**2*s + 4*j*s**3 - 4*s**3 wrt j.
18*j*s**2 + 2*s**3 - 6*s
Find the second derivative of -5*j**4*l**2 - 99*j**4*l - 135*j*l**2 + 11 wrt j.
-60*j**2*l**2 - 1188*j**2*l
Find the third derivative of q**5 + 2649*q**4 - 2*q**3 + 20043*q**2 wrt q.
60*q**2 + 63576*q - 12
What is the second derivative of 1348*t**2*y**2 - 2*t**2*y + 9*t**2 wrt y?
2696*t**2
What is the second derivative of -2*i*k**2*q**5 + 33*i*k**2*q**2*y - 2*i*k**2 - i*y - 2*k**2*q*y - 5*k*q*y wrt q?
-40*i*k**2*q**3 + 66*i*k**2*y
Find the second derivative of -8*l**2*n**3 - 4*l**2*n**2 - 4*l**2*n - 3*l**2 + 22*l*n + 8*n**3 wrt n.
-48*l**2*n - 8*l**2 + 48*n
What is the derivative of 838*t + 123?
838
Differentiate -3*a**2*h**2*i - 6*a**2*i - 3*a**2 + 46*a*h**2*i + h*i - 3 with respect to h.
-6*a**2*h*i + 92*a*h*i + i
Find the third derivative of -2*g**3*l*n - 14*g**3*n**3 + 2*g**2*l*n**3 - g**2*l*n + 2*g**2*n + 3*g*l*n**2 - 2*n**3 wrt n.
-84*g**3 + 12*g**2*l - 12
Differentiate 8*a**3*n - 77*a**3 + 15*a**2*n - 3 with respect to n.
8*a**3 + 15*a**2
Find the second derivative of 5326*q**5 + 6090*q.
106520*q**3
Find the first derivative of 2239*t + 4202.
2239
Find the third derivative of -418*b**2*k**5 + 4*b**2*k**4 + 3*b**2*k**2 + 184*b wrt k.
-25080*b**2*k**2 + 96*b**2*k
Find the second derivative of -6*g**4 - 11*g**3*z - 4*g*z + 2*z - 16 wrt g.
-72*g**2 - 66*g*z
Find the second derivative of 2*k**3*n**3 - k**3*n*z - 2*k**3*z - 6*k*z + n**4 + 5*n**2*z**2 + 3*n*z**2 wrt n.
12*k**3*n + 12*n**2 + 10*z**2
What is the third derivative of 645*n**4*u**2 - 3*n**2*u**2 - 46*n**2*u wrt n?
15480*n*u**2
Find the first derivative of m**4*z + 7297*m**4 - 4*z - 2061 wrt m.
4*m**3*z + 29188*m**3
What is the second derivative of 224*d**2 - 717*d wrt d?
448
What is the third derivative of -2*h*l**3 - h + 1359*l**3 + 19*l**2 - 11*l wrt l?
-12*h + 8154
What is the derivative of -221*g**2*y**3 - 24*g**2 - 5*g wrt y?
-663*g**2*y**2
What is the third derivative of -24*l**3*u**2 - 2*l**3*u + 20*l**3 + 2*l**2*u**2 + 118*l**2*u + l*u**2 - 3*l*u wrt l?
-144*u**2 - 12*u + 120
Find the third derivative of -124*l*q**3 + l*q**2 + 2*q**5 + 10*q**2 wrt q.
-744*l + 120*q**2
What is the second derivative of 6763*g*l**2 - 79*g*l - 32 wrt l?
13526*g
What is the second derivative of 2126*b**2 - 499*b wrt b?
4252
What is the second derivative of -135*g*s**4 - 2*g*s**2 - 87*g*s wrt s?
-1620*g*s**2 - 4*g
Find the second derivative of -92*l**4 + 469*l.
-1104*l**2
Differentiate -2*n**4 - 551*n**2 - 7543 with respect to n.
-8*n**3 - 1102*n
Differentiate 164*k**3 - 22 wrt k.
492*k**2
What is the first derivative of -3983*s + 1005?
-3983
Find the third derivative of 3*f**6 - 348*f**5 + f**4 - 82*f**2 + 6*f wrt f.
360*f**3 - 20880*f**2 + 24*f
Find the third derivative of 14*a**2*f**3*v - 44*a**2*f**2*v**3 + 3*a**2*f + a**2*v**3 + 52*a*f**3*v**3 + 2*v**3 wrt f.
84*a**2*v + 312*a*v**3
What is the derivative of -4*h**3 + 293*h**2*r**2 + r**2 - 1318*r + 5 wrt h?
-12*h**2 + 586*h*r**2
Find the second derivative of 28*c**4*w**2 + 5*c**4 - 121*c*w - w**2 wrt c.
336*c**2*w**2 + 60*c**2
What is the second derivative of 3*i*q**3 - 2*i*q**2 + 58*i*q + 2*q**3 - 58*q**2 - 146*q wrt q?
18*i*q - 4*i + 12*q - 116
What is the second derivative of -21*h**2 + 245*h?
-42
What is the third derivative of -300*h**2*q**5 + h**2*q**3 - h**2 + 46*h*q**2 wrt q?
-18000*h**2*q**2 + 6*h**2
Find the third derivative of 183*s**3 + 10*s**2 + 6.
1098
Find the second derivative of -27*s**4*z + s*z + 4*z + 6 wrt s.
-324*s**2*z
Find the second derivative of -4*r**3 + 85*r**2 - 4534*r wrt r.
-24*r + 170
Differentiate -16*s**3*z**2 + 1132*s**3 - 8*s**2*z**2 wrt z.
-32*s**3*z - 16*s**2*z
What is the first derivative of -v**3 - 819*v + 1146 wrt v?
-3*v**2 - 819
What is the third derivative of 89*s**4 - s**3 + 96*s**2?
2136*s - 6
Find the second derivative of 31411*h**4 + 22038*h.
376932*h**2
What is the second derivative of 16323*f**2*r**3*w**2 + 2*f*r**3*w + 12*f*r**2*w - 145*r*w - 2*w**2 wrt f?
32646*r**3*w**2
What is the first derivative of 9*h + 12 wrt h?
9
Find the first derivative of -1021*g**2*w + 1361*g**2 wrt w.
-1021*g**2
What is the second derivative of 16420*m**2 - 11047*m?
32840
What is the derivative of -126*h*j*o*t + 24*h*j*o - h*o + 3*j*o*t - j - 3 wrt t?
-126*h*j*o + 3*j*o
What is the derivative of 224*i*o**3*x**3 + 47*i - 2*o**3 - 3*o**2 - 6*x**3 wrt x?
672*i*o**3*x**2 - 18*x**2
What is the second derivative of 203*h**2*m**2 + 2*h**2*m + 3*h*m + 50*m wrt m?
406*h**2
Differentiate -c**2*q*r - 10*c**2 - 2*c*q - c*r - q*r + 39*q + r + 5 wrt q.
-c**2*r - 2*c - r + 39
Find the third derivative of -2*i*j**3*y**3 + i*j**2*y**2 + 11*i*y**3 + 7*i*y - j**3 - y wrt y.
-12*i*j**3 + 66*i
What is the third derivative of 45*a**4 - 23*a**3 + 38*a**2 + 26*a wrt a?
1080*a - 138
What is the third derivative of -10*b**5*z**2 + 17*b**4*z**3 - 1614*b**2*z**3 + 4*z**2 wrt b?
-600*b**2*z**2 + 408*b*z**3
Find the second derivative of 73*j**3*v**2 - j**3 - 2*j + 36*v wrt v.
146*j**3
What is the first derivative of -7796*b + 10037 wrt b?
-7796
What is the third derivative of -729*d**2*p**3 + 3*d**2*p - 2*p**2 - 7*p wrt p?
-4374*d**2
Find the seco | {
"pile_set_name": "DM Mathematics"
} |
west common multiple of i and v?
260
Let c be (9684/770 + -4)/((-180)/(-25)). Let k = c - -1/308. What is the common denominator of k and -13/12?
36
What is the smallest common multiple of 282 and (1 + 1)*(277 - 211)?
6204
Let s = -50 - -52. What is the common denominator of -47/20 and s + 1 - (4 - (-113)/(-110))?
220
Let u = 6585 + -144821/22. Suppose 5*l - 71 = -6. What is the common denominator of (-2)/l - 1779/858 and u?
22
Let g(y) = -y**3 - 2*y**2 + 2*y - 4. Let c = -95 + 41. Let b = 50 + c. Calculate the smallest common multiple of g(b) and 6.
60
Let b = -265 + 271. Suppose 3*u - 1 - 5 = 0. Calculate the least common multiple of 61 and 2 + 1/(u/b).
305
Let p = -91617 - -91615. Calculate the common denominator of p and 894/80 - (-1)/5.
8
Let q(h) be the first derivative of 3*h**2 + 3*h - 16. Let g be q(-2). Calculate the least common multiple of 2/g - (-1919)/171 and 10.
110
Suppose 4*v = -0*v + 48. Suppose -27 = -4*u - 3*f, 2*u - 5 = -5*f - 2. Calculate the smallest common multiple of v and u.
36
Let f(l) = -2*l**3 - 21*l**2 - 8*l + 22. Suppose 0 = 7*z - 0 + 70. What is the lowest common multiple of f(z) and -1*(-3 + 3) - -8?
8
Let b(c) = -2*c**2 + 30*c - 91. What is the smallest common multiple of 14 and b(10)?
126
Let a = -135813221/525 + 258692. Find the common denominator of a and 33/112.
8400
Let c = 41/414 - -65455/1656. Let h = c - 75/2. Find the common denominator of h and (-3)/(-12) + (-95)/(-68).
136
Find the common denominator of (-107)/90 - (-110)/660 and -1/243.
1215
Let b(y) = -2*y**3 + 18*y**2 + 4*y + 46. Calculate the smallest common multiple of b(9) and 24.
984
Let z = -29400 - -2822437/96. What is the common denominator of 41/216 and z?
864
Suppose 816 = 1818*g - 1750*g. Calculate the lowest common multiple of 816 and g.
816
Let p be 1 + 2 + -2 + -1. Suppose i + 56 = 4*l + 5*i, p = -3*l + 2*i + 62. Let g(h) = -177*h - 157. Calculate the lowest common multiple of g(-1) and l.
180
Calculate the common denominator of (13 - 4 - -1) + 4928/(-1024) and 129/880.
880
Let j(n) = -n**3 + 24*n**2 + 335*n - 14. What is the least common multiple of j(-10) and 63?
252
Let k(r) = r + 25. Let p = -1566 - -1576. What is the smallest common multiple of p and k(-9)?
80
Let m = -37 - -55. Calculate the smallest common multiple of (1150/23)/(-10) - -10 and m.
90
Let s = 920396300/3913 + -235215. Calculate the common denominator of s and 69/4.
15652
Let i be 15/(-9) + 2 + 33311750/(-99636). Let y = 6320/19 + i. Find the common denominator of -9/8 and y.
184
Suppose -2*c + 3300 = 8*c. Let w = c - 177. What is the least common multiple of 5 and w?
765
Let r = 433 + -41581/96. Calculate the common denominator of 33/112 and r.
672
What is the smallest common multiple of 1617 and 2/((-8)/(-980)) + (-2 - (1 - 3))?
8085
Let c be -753 + (-3)/(0/(-4) + -1). Let k = 339 + c. Let r = -6176/15 - k. What is the common denominator of r and -22/15?
15
Let n(x) = -x**3 - x**2 + 27. Let h(y) = y**3 + 32*y**2 - 72*y - 121. Calculate the lowest common multiple of n(0) and h(-34).
135
Let c = 168987 - 168984. Let j(l) = -3*l**3 + l**3 + l**3 + 3 + 2*l + 6*l**2. Calculate the least common multiple of c and j(6).
15
Let h = -8509 - -272299/32. Find the common denominator of -17/2152 and h.
8608
Suppose 41 = z - c, 0 = 2*z - 519*c + 516*c - 87. What is the least common multiple of z and 2670?
16020
Calculate the common denominator of 11/885 and (1 - 14/(-10))*50/(-36)*-4.
885
Let l = -63739/16 - -3978. Let o = -102580 + 25439873/248. What is the common denominator of l and o?
496
Suppose -v + 441 = y, 87*y + 445 = v + 92*y. Calculate the lowest common multiple of 35 and v.
3080
Suppose -224*w + 27*w + 114260 = 0. What is the lowest common multiple of w and 16?
2320
Suppose 34*s - 2*g + 95 = 29*s, 15 = 3*g. Calculate the common denominator of 97/20 and s/153 - (-1533)/(-540).
20
Let s = 1715 - 1649. What is the smallest common multiple of s and 297?
594
Suppose 2*k - 3*x - 129 = 0, 5*x - 211 = -5*k + 74. Let p = -44216 - -44240. What is the lowest common multiple of p and k?
120
Find the common denominator of 75/448 and ((-4)/6 + ((-385)/84 - -5))/2.
448
Let r = -13/183 - 42289/7503. Let n = r + 4561/246. What is the common denominator of n and -77/2?
6
Let b = -418 + 368. Calculate the common denominator of -3/5 and (2 - b)*(-18)/1602.
445
Let i = 21764068/9 + -2415456. Let v = i - 2769. What is the common denominator of v and 84/16*16/66?
99
Let a = -26327/6 + 4402. Let h = -971/138 + 20/23. Calculate the common denominator of a and h.
6
What is the lowest common multiple of 9*(-3)/(-6) + (-27)/(-18) and (-4 - -5)*(-5)/((-10)/12)?
6
Suppose -2*r - 701 = -129. Let k = r - -1997/7. Find the common denominator of ((-64)/5 + 1)*(1 + 0) and k.
35
Suppose -4*r = -2*n - 12, -5*n + 43*r + 6 = 42*r. Calculate the smallest common multiple of n and 101.
202
Let w be (-6)/10 + 378/(-70). Let v = -562 + 514. Find the common denominator of w*(-186)/231 - (-4)/(-14) and v.
11
Suppose -37*t - 1669 = -17875. What is the smallest common multiple of t and 78?
5694
What is the smallest common multiple of (-5 + 66/14 - 133164/(-84)) + -1 and 468?
20592
Let h(r) = -r**3 + r**2 + 10*r - 37. What is the common denominator of h(4) and 4/89?
89
Let g be (-4)/28 - (-90)/42. Suppose -6*n + 3*n - g*c + 17 = 0, c + 2 = 0. Calculate the least common multiple of n and 41.
287
Let q = 883 + -70631/80. What is the common denominator of -113/80 and q?
80
Calculate the common denominator of 47/5 and (-6 - 808/(-28))*2/228.
1995
Let f(i) = -8*i - 12. What is the least common multiple of f(-3) and ((-39)/(-3) - (-1 + -1)) + 0/22?
60
Let x = 103 - 101. Suppose -6*i + x*i - 24 = 0. What is the least common multiple of 5 and 33 - 2 - (3 + i)?
170
Let p = -485/56 - -2441/336. Let n be ((-598)/597 - -1)/((-10)/(-22395)). Let f = n - -1/796. What is the common denominator of p and f?
48
Let p(f) be the third derivative of 157*f**4/24 + 5*f**3/6 - 21*f**2. Let n be p(-1). Let y = -2363/16 - n. What is the common denominator of y and 47/2?
16
Let w be (-35)/14*(-12)/5. Suppose w*f + 110 = f. Let q = 27 + f. Calculate the smallest common multiple of q and 2.
10
Let l = 8 - 6. Let a = -755 + 756. What is the least common multiple of -4 + 1 + (l - -9) and a?
8
Let c = 102697 + -4229781338/41187. Let m = 471357/219664 + c. Calculate the common denominator of 151/24 and m.
48
Let b = 264 + -264. Suppose b = 4*u + 5*m + 16 - 23, 8 = 4*u + 4*m. Let f = -5 - -8. Calculate the lowest common multiple of f and u.
3
Let v be 1 + -1 - (-5 + 36). Let o = -95/34 - -396/17. What is the common denominator of (-1)/(2 + v/11) and o?
18
Let u = 26/7 - 787/210. Let s(d) = 24*d**2 - 2*d - 17. Let l be s(-12). Let o = l - 20731/6. Find the common denominator of o and u.
30
Suppose 1261 = -10*i + 1811. Suppose 0 = 17*d - 24 - 61. What is the smallest common multiple of d and i?
55
Let n = 4740895890883/102939848 + -244/1169771. Let w = 46054 - n. Calculate the common denominator of w and 34/55.
440
Suppose 3*b + 135 = -z + 3*z, -3*z - 4*b + 211 = 0. Suppose -7*y + 46 = 18. What is the smallest common multiple of z and y?
276
Let i = 3 + -7. Let n be (4/i)/((-5)/(-10)). What is the common denominator of (-12)/10*((-90)/8 - n) and 127/12?
60
Let v = 345790/3 - 111036. Let y = 4133 - v. Let h = 5699/60 + y. What is the common denominator of 9/2 and h?
20
Let w(t) = t**2 + 8*t + 10. What is the lowest common multiple of ((-159)/(-24))/((-30)/(-240)) and w(-7)?
159
Suppose 0 = 1001*w - 1281*w + 5040. Let r = -11 + 25. Calculate the least common multiple of r and w.
126
Let o(d) = -3*d**3 - 172*d**2 - 54*d + 267. What is the least common multiple of (16/6)/((-5)/(-180)) and o(-57)?
96
Let c be (117422/8743)/((-24)/(-7)). Let v be ((-4)/8743)/(498/581). Let y = c + v. Calculate the common denominator of -49/4 and y.
12
Suppose 172*p - 189*p + 2 + 32 = 0. Calculate the lowest common multiple of p and 3247.
6494
Suppose -298 = -7*w + 1634. Calculate the least common multiple of w and 828.
828
Find the common denominator of -95/4626 and 94978/(-93548) - -11 - 10.
32382
Suppose -9*x + 280 = -14*x. What is the common denominator of -77/8 and x/126 - 1137/(-432)?
16
Let p(s) = -2*s**2 - 37*s + 16. Let f be p(-19). What is the least common | {
"pile_set_name": "DM Mathematics"
} |
945 for z.
-7
Solve -1813*s - 1775*s - 41490 = -822*s for s.
-15
Solve 203*r - 528 = -30*r + 37*r - 4840 for r.
-22
Solve -99*v + 278*v - 26622 = -180*v - 100*v for v.
58
Solve 0 = 180*h + 99535 - 92335 for h.
-40
Solve 1230*a = 10002 + 6998 + 6370 for a.
19
Solve 206*w + 4839*w - 60865 = 151025 for w.
42
Solve 175655 = 191889*t - 195974*t for t.
-43
Solve 259*y + 5368 + 6866 = 1356 for y.
-42
Solve -50*r + 1212 = 42*r - 165 - 1383 for r.
30
Solve 1386*n + 2834 = 2665*n - 1405*n + 9512 for n.
53
Solve -7453*s = -154420 - 277854 for s.
58
Solve 381*c - 125*c - 114*c - 126*c = -320 for c.
-20
Solve -98*u + 202*u = -9566 + 3014 for u.
-63
Solve -33530*o + 33578*o + 2016 = 0 for o.
-42
Solve -123 + 9126 = 407*m - 2856 - 1165 for m.
32
Solve 2847*f - 380 = 2681*f + 7256 for f.
46
Solve -152*x + 27 + 519 - 2 = -135*x for x.
32
Solve -1359*l = -5822 + 133568 for l.
-94
Solve -14*o - 4686 - 9972 = -363*o for o.
42
Solve 234*k + 23489 = -139*k + 90*k for k.
-83
Solve 116*y - 33*y - 31*y - 646 = 33*y for y.
34
Solve 178*w - 4672 + 44 = 0 for w.
26
Solve 3095*b + 2793 + 43027 = -45871 - 44489 for b.
-44
Solve -5214*j = -3662*j - 172272 for j.
111
Solve -918*m - 37908 = -1620*m for m.
54
Solve -1359*s + 855*s - 9576 = 0 for s.
-19
Solve 877 + 1987 = -75*o - 589 - 372 for o.
-51
Solve 2409*q + 39213 = -11376 for q.
-21
Solve 337 = -1507*y + 1521*y - 391 for y.
52
Solve -274*t = 61*t - 99*t + 136*t for t.
0
Solve -1187 - 2532 = 209*x + 3118 + 269 for x.
-34
Solve -4572601 + 1215483 = -26434*a for a.
127
Solve 1108*t - 1059*t = -2989 for t.
-61
Solve 41*j - 188 + 160 = 112*j + 256 for j.
-4
Solve 2518*i - 1292*i - 1975 = 1703 for i.
3
Solve -51*o - 170*o - 28*o - 11598 - 11808 = 0 for o.
-94
Solve -35 - 717 = 334*d + 584 for d.
-4
Solve 6792*x + 15445*x - 3113180 = 0 for x.
140
Solve 7*v - v - 1 = 7*v for v.
-1
Solve 909*b + 532 + 4061 + 13921 = 3061 for b.
-17
Solve 173*s - 29322 = 864*s + 16284 for s.
-66
Solve -1909*v + 69770 = 7568*v + 22385 for v.
5
Solve -1302*p - 7810*p = -1585*p - 82475 - 993886 for p.
143
Solve 0 = -1961*l - 3644 - 2239 for l.
-3
Solve -5669*s = 224*s - 1282*s + 318159 for s.
-69
Solve 945*h - 2792*h - 1612*h - 39659 = 12226 for h.
-15
Solve 185379 + 265949 = 12025*l - 30750 - 143222 for l.
52
Solve 0*q - 970*q - 24250 = 0 for q.
-25
Solve 450*y - 360*y + 468*y = 47430 for y.
85
Solve 8270*f = 1464*f - 394748 for f.
-58
Solve -242 + 1194 = -136*m for m.
-7
Solve -5042*k + 16002 - 487 = -5577*k for k.
-29
Solve -63501*g = -64286*g + 58090 for g.
74
Solve 9887*d - 10379*d = -22140 for d.
45
Solve 122*f - 229*f - 237*f = 165*f - 18324 for f.
36
Solve 846*i = 448*i + 33034 for i.
83
Solve 7546*a - 7802*a = 28416 for a.
-111
Solve -941*c + 440556 = -37654*c for c.
-12
Solve -2679*z + 29560 = -1940*z for z.
40
Solve -128*h - 137*h - 10206 = 14174 for h.
-92
Solve 0 = -686*w + 61004 + 7907 + 15467 for w.
123
Solve -46*p = -301 + 249 - 316 for p.
8
Solve -6964 - 23937 + 6245 = 4*z - 272*z for z.
92
Solve 0 = 268*z - 5294 - 8106 for z.
50
Solve -3548*g + 507*g - 3276*g = 2612*g - 348231 for g.
39
Solve -397315 - 232057 = 5876*k - 6516 for k.
-106
Solve 1140*c - 28427 = 44533 for c.
64
Solve -36834 = 174*u - 1092*u - 115782 for u.
-86
Solve -4940 = 161*o + 20072 + 265 for o.
-157
Solve 324*l - 986*l + 410*l - 1764 = 0 for l.
-7
Solve 20739*w = 20557*w + 182 for w.
1
Solve -58*z + 40*z - 9664 = -169*z for z.
64
Solve 0 = -123*d + 367*d - 8540 for d.
35
Solve -135*w + 10 = -4445 for w.
33
Solve -298*i - 34804 + 8324 = -321*i - 308*i for i.
80
Solve 0 = -2*o + 1017312 - 1017286 for o.
13
Solve 24*q - 2442 = 346*q - 11136 for q.
27
Solve -130116 = -9182*h + 191254 for h.
35
Solve -786 = 64904*f - 65035*f for f.
6
Solve -7753*a = -7765*a + 72 for a.
6
Solve -34516*a + 34464*a + 2236 = 0 for a.
43
Solve 1581 = 1306*q - 1357*q for q.
-31
Solve 0 = -21*v + 119973 - 119595 for v.
18
Solve -186*g + 154*g = 205*g + 3777 + 14235 for g.
-76
Solve 1010*u - 1956*u = 4972*u - 349162 for u.
59
Solve -30*n + 23*n - 407*n = 42*n + 24624 for n.
-54
Solve 170*d + 253124 = 257714 for d.
27
Solve 84*w = 13*w - 38*w + 18*w + 5005 for w.
55
Solve -48834*j + 15805 = -48289*j for j.
29
Solve -643866*j = -643935*j + 2346 for j.
34
Solve -118788 = -1122*y - 1507*y - 1121*y + 624*y for y.
38
Solve 5105*d - 4726*d + 32215 = 0 for d.
-85
Solve 437266 = 1205*a + 460161 for a.
-19
Solve -998*v - 9264 = 17682 for v.
-27
Solve 0 = 32871*l - 9697*l - 672046 for l.
29
Solve 6639*h - 13546*h = -6540*h - 6239 for h.
17
Solve 127*m - 387072 = 379924 - 779823 for m.
-101
Solve 12203*o - 505573 = 104577 for o.
50
Solve -738*c - 1087*c = -31769 - 68606 for c.
55
Solve -66*o + 3586*o = 145*o - 3*o - 111474 for o.
-33
Solve -17423*t = -17319*t + 5616 for t.
-54
Solve 10873*q = 1140*q - 104448 - 22081 for q.
-13
Solve 2274*n + 8513 = -639*n - 20617 for n.
-10
Solve -277*x = -149*x + 5360 - 1392 for x.
-31
Solve 818*s + 13785 = -238*s - 22552 - 36527 for s.
-69
Solve 115*a + 7446 + 795 = 61*a - 69*a for a.
-67
Solve -885*q = -630*q - 14100 + 1350 for q.
50
Solve 410*u = 587 - 6921 - 20726 for u.
-66
Solve 501*g + 1180*g - 403*g = 81792 for g.
64
Solve -194*v = 87*v - 21 - 4132 - 343 for v.
16
Solve 8*c - 187 = -20 + 73 for c.
30
Solve 0 = -443*c + 3467 - 22073 for c.
-42
Solve 0 = -8385*t + 8436*t + 102 for t.
-2
Solve 181*c - 264*c - 524*c + 120802 = 38250 for c.
136
Solve -1558 = -22*j - 1844 for j.
-13
Solve 524*c + 2064 - 1791 = -3395 for c.
-7
Solve -757*v - 13413 + 4143 = 27823 for v.
-49
Solve -10*t + 6100 = -147*t - 1118 - 1687 for t.
-65
Solve 3153*z + 8747 - 211423 = 950*z for z.
92
Solve -1247 = 13*k - 30*k - 26*k for k.
29
Solve 1431*v + 715856 = -6787*v + 107724 for v.
-74
Solve 3962*w = 3903*w + 590 for w.
10
Solve 237*o = 116*o + 69*o + 1664 for o.
32
Solve 1957*y - 337*y = -243*y - 30410 + 117971 for y.
47
Solve 47*b + 137*b + 14040 = -284*b for b.
-30
Solve 0 = -24015*b + 21525*b + 281370 for b.
113
Solve 9040 - 51369 - 16093 = 1391*n for n.
-42
Solve 554*s + 11631 = 60*s - 24507 - 22648 for s.
-119
Solve -51*i + 15*i - 32*i = 34*i for i.
0
Solve 62*c + 9164 - 9660 = 0 for c.
8
Solve 1208*n - 429*n - 4960 = 624*n for n.
32
Solve -29455*u + 26410*u + 48720 = 0 for u.
16
Solve 67*x + 93*x + 7458 = -38*x + 264*x for x.
113
Solve 902*k - 643*k - 6311 + 354 = 0 for k.
23
Solve -5*d - 179*d + 418 - 1669 = 2429 for d.
-20
Solve -1986*z - 29545 = -2297*z for z.
95
Solve 434133*l - 434447*l + 10990 = 0 for l.
35
Solve 0 = 1122*t - 664 - 1580 for t.
2
Solve 40578 + 43702 = -1396*a + 34024 for a.
-36
Solve -119*a + 429*a - 29459 = -5279 for a.
78
Solve -729*j - 191*j - 563*j + 92762 = -25878 for j.
80
Solve 1118*u + 14567 = -6024 - 20775 for u.
-37
Solve -129*w - 80*w = -9*w - 322 + 122 for w.
1
Solve 3538 + 3932 = 481*z - 3593 for z.
23
Solve -399*f - 1370 = -4668 - 1091 for f.
11
Solve -11*z + 1773 - 1111 = -78*z - 3425 for z.
-61
Solve -245851*l = -245725*l - 10332 for l.
82
Solve -460*q - 17825 - 10975 = 116*q for q.
-50
Solve 691*i - 35242 = -3456 for i.
46
Solve -37*x - 610 - 45 + 1143 = -1066 for x.
42
Solve 197305 = 61*y + 195475 for y.
30
Solve -16255 - 14079 = 1046*o for o.
-29
Solve -623*u + 4464 = -341*u - 189*u for u.
48
Solve -382*c = 144*c - 4*c - 37062 for c.
71
Solve 544*u - 33*u - 20541 = 1943 for u.
44
Solve -4277 = -2430*i - 11567 for i.
-3
Solve -695*x - 14946 = 19109 for x.
-49
Solve 95*u - 131*u = 607 + 1049 for u.
-46
Solve -847*h = -353*h + 616*h - 57720 for h.
52
Solve -2406*j + 1485 = -1178*j - 1187*j - 3476 for j.
121
Solve -139*y + 20764 = 362*y - 859*y for y.
-58
Solve -14813*a + 9285*a - 93752 = 76631 + 72849 for a.
-44
Solve -3176 = 319*c - 15617 for c.
39
Solve 37*j - 45021657 = -45023988 for j.
-63
Solve -22*o - 5706 = -50*o + 318*o - 37606 for o.
110
Solve -136071*n - 4214 = -135830*n - 16264 for n.
50
Solve 137*m - 1385411 = -1391302 for m.
-43
Solve 145*j + 10927 = -172*j - 4923 for j.
-50
Solve -59185 + 14257 = 864*c for c.
-52
Solve -297537 + 111858 = 6851*s + 102063 for s.
-42
Solve 140*y + 12 - 37 = -25 for y.
0
Solve -520*t - 1351*t - 111228 = -259*t for t.
-69
Solve 0 = -63*c + 162514 - 165160 for c.
-42
Solve 139*g - 51*g - g - 19116 = -149*g for g.
81
Solve 176*s - 584 - 2589 = -17*s + 26*s for s.
19
Solve 231*t + 181*t + 29*t + 8127 | {
"pile_set_name": "DM Mathematics"
} |
Round i to the nearest integer.
8
Let n = 2060 + -2060.01171. Let o = n - -0.0094. What is o rounded to 3 dps?
-0.002
Let l = 300 + -150. Let s = -22.735 + 173.805. Let m = l - s. What is m rounded to 1 decimal place?
-1.1
Let j be -13048*((-60)/32)/(9/(-12)). Round j to the nearest one thousand.
-33000
Let h be ((-4)/(-8) - -1)*-4*1. Let n(t) = -t - 1. Let a(q) = 162*q + 2. Let y(k) = h*n(k) - a(k). Let r be y(-11). What is r rounded to the nearest 100?
1700
Let c = 439365346 + -439364698.9999397. Let r = 647 - c. Round r to five decimal places.
-0.00006
Let r = -35097 - -34859.968. Let x = -238 - r. What is x rounded to 2 decimal places?
-0.97
Let i = 32512137 + -32511466.99367. Let s = i - 670. Round s to three dps.
0.006
Let l = -0.231270917 + 0.23126. Round l to six dps.
-0.000011
Let s = 0.19716864345 + -431.19717218345. Let d = s - -431. Round d to seven dps.
-0.0000035
Let l = 231508681.01143 + -231511277. Let s = 2596 + l. Round s to three decimal places.
0.011
Let g = 3050065541.530001754 + -3050065538. Let u = -3.53 + g. What is u rounded to seven dps?
0.0000018
Let l = -97279 + 97207.891. What is l rounded to the nearest integer?
-71
Let q = 8.184 + -8.2. Let j = -23.016 - q. Let y = -22.53 - j. What is y rounded to 1 dp?
0.5
Let b(i) = -8384*i - 16. Let s(d) = -2*d - 1. Let a(z) = -b(z) + 8*s(z). Let j be a(-1). What is j rounded to the nearest 1000?
-8000
Suppose 0 = -20*l + 19*l + 36. Suppose -q - 2*z + l = -30, 5*q + z - 366 = 0. Suppose -73*f = -q*f + 4900000. Round f to the nearest 1000000.
5000000
Let l = -9.26901 - 0.14299. Round l to one decimal place.
-9.4
Suppose 0 = -y - 6 + 9, -5*y = 2*l + 33291. What is l rounded to the nearest one thousand?
-17000
Suppose 44778 = 4*p - 12022. Let t be (23 + -1)*(-4)/(-22). Suppose p = 5*x - t*x. What is x rounded to the nearest 1000?
14000
Let h = 8697 + -8349.35. What is h rounded to the nearest ten?
350
Let r be 48/(-32) + (0 - (-166447398)/4). Suppose -g - 6660015 = -3*z, 4*g - 14971868 = -4*z - r. Round g to the nearest 1000000.
-7000000
Suppose -5 - 5 = -3*r - 2*k, -5*r - 5 = -k. Suppose r = 2*i + 8 - 62. Round i to the nearest ten.
30
Let p = -2583.3 - -2671. Let j = -535.54 + 446.906. Let y = p + j. Round y to one dp.
-0.9
Let k(c) = 4904442*c**3 + 8*c**2 - 6*c + 12. Let x be k(3). Round x to the nearest 1000000.
132000000
Let i be -1 - (-10 + 0 + (6 - 3)). Suppose w = i*w - 5*k - 1840, 0 = 2*w + 3*k - 756. Let t = w - 15272. What is t rounded to the nearest one thousand?
-15000
Suppose 2*n + 12*c + 8536009 = 15*c, 3*n + 5*c + 12803985 = 0. What is n rounded to the nearest 100000?
-4300000
Suppose -5*s - 4*t = 31 - 0, 4*s + t + 27 = 0. Let z be ((-4)/(-10))/(s/(-35)). Let w be (-1815)/4 + (1 - z/8). What is w rounded to the nearest 100?
-500
Let v = -77286096.3 - -68791218. Let w = 8495225.30311 + v. Let n = -347 + w. Round n to 4 dps.
0.0031
Let r = -0.098 - -0.57. Let p = r + -0.012. Let j = p + -0.5124. What is j rounded to 2 dps?
-0.05
Let m(g) = -14*g + 214. Let n be m(15). Let k be (250/n)/((-59)/(-608880)). What is k rounded to the nearest 10000?
650000
Let d = 0.2523 - 0.2388. Let y = 1.13779 + -1.157. Let c = d + y. Round c to 3 dps.
-0.006
Let o = -687.04 - -588.9. What is o rounded to the nearest 10?
-100
Let a = -11183391.1 + 11183337.699707. Let c = -53.4 - a. Round c to 5 decimal places.
0.00029
Let n = -933.373283 - -0.013283. What is n rounded to the nearest 10?
-930
Suppose 2*f = 19*f - 85. Suppose -164295094 = f*l + 107704906. Round l to the nearest one million.
-54000000
Let q = 5827.3068 + -5828.706801696. Let j = -1.4 - q. Round j to seven decimal places.
0.0000017
Let k = -280 - -279.891106. What is k rounded to 2 dps?
-0.11
Let b = -1380278 - -3368196. Let g = 2921918 - b. What is g rounded to the nearest one hundred thousand?
900000
Let c = 94 + -124. Let p = c + 32. Suppose p*v = -12 + 4, 0 = 3*s - 2*v - 111008. What is s rounded to the nearest 10000?
40000
Suppose -29*k + 34*k = -5*t + 333040, 4*k = -5*t + 266430. Round k to the nearest 10000.
70000
Let k(n) = 75646*n - 62. Suppose -q = 3*c + 10 - 6, -20 = 5*c - q. Let h be k(c). What is h rounded to the nearest one hundred thousand?
-200000
Let b = -869 + 569. Let h = 226.5 + b. Round h to the nearest 10.
-70
Let d(j) = 12*j**2 - 280*j - 250*j + 492*j + 48. Let g be d(-18). Round g to the nearest one thousand.
5000
Let r = 26.219994797 - 26.22. What is r rounded to six decimal places?
-0.000005
Let o = 65355 + -65327.291. Round o to 0 dps.
28
Suppose -4*y - 5*w - 239 = 0, 3*y + 0*w + w + 193 = 0. Let z be y/(-15) - 4/10. Suppose -z*p = -14*p + 350000. Round p to the nearest 10000.
40000
Let p = 43.1 + -40. Let c = 4.9 + p. Let y = 7.9907 - c. Round y to three dps.
-0.009
Let n = 12.929 + -124.949. What is n rounded to the nearest integer?
-112
Let g be 76/8*(-10)/1. Let w be ((-872)/10)/(38/g). Let f be w/((-3)/(-2) - (-3745)/(-2500)). Round f to the nearest ten thousand.
110000
Let d = 343.36 + -198. Round d to the nearest integer.
145
Let h = 1257.654 - 1274.2. Let b = -0.054 + h. What is b rounded to the nearest integer?
-17
Let a = -35 - -20.3. Let t = 47.3 - a. Let j = t + -62.39. Round j to 2 dps.
-0.39
Let k = -20.515 - -11942.515. Let c = -11922.4923 + k. Round c to one dp.
-0.5
Suppose -26*z = -22*z + 4*r - 223264, -4*z = 3*r - 223258. What is z rounded to the nearest 10000?
60000
Let r = 131.1 + -1114.1. Let p = -346 - r. Let j = -636.99999034 + p. Round j to 6 decimal places.
0.00001
Let k = 24209.9898832 - 24204.77. Let g = 5.22 - k. What is g rounded to 6 dps?
0.000117
Let q(x) = 12133*x**2 + 392*x + 4. Let v be q(4). Round v to the nearest 100000.
200000
Let y = -2173092887.81707435 - -2173092780. Let s = -38.1829312 + y. Let a = -146 - s. Round a to 7 decimal places.
0.0000056
Let u = 62565.0000030183 + -62565. Round u to 7 dps.
0.000003
Let u be -3*(-16)/(-12) - 10. Let h be 1/(-3 - (-3 - 2/u)). Let w(n) = -33*n + 64. Let g be w(h). Round g to the nearest one hundred.
300
Suppose -261*i + 18 = -259*i. Suppose i*h = 52561 + 4751. Round h to the nearest one hundred.
6400
Let p = 0.0481474 + -4.0992434. Let i = p - -3.911. Let r = -0.14 - i. Round r to five dps.
0.0001
Let j = 43 + -43.017. Let h = j - 9.183. Let m = h - -8.34. Round m to 1 dp.
-0.9
Let r = 33.8161 - -0.0839. Let n = 33.8722 - r. Let b = n - -0.009. What is b rounded to three decimal places?
-0.019
Let g = -60.52351248 - -60.455. Let r = g + 0.0685. What is r rounded to 6 dps?
-0.000012
Let t = -94 + 135. Let r = t - -28. Let x = r - 68.9999328. What is x rounded to five dps?
0.00007
Let i = 526.056 + -542.3. Let b = -1.096 + i. What is b rounded to zero decimal places?
-17
Suppose 0 = q - 5*r - 90330, -2*q - 4*r + 180604 = -0*r. Suppose 2*f - 201550 = 7*f. Let o = q + f. What is o rounded to the nearest 10000?
50000
Let v = 649.82096 - 662.117. Let j = 11.69 + 0.61. Let a = j + v. What is a rounded to 4 decimal places?
0.004
Let d be (-1921946)/(-195) + 9 + -2 + 56/30. What is d rounded to the nearest one thousand?
10000
Let o = 0.061 + -0.034. Let k = o + -0.068. Let a = k + 2.191. Round a to one dp.
2.2
Let s be (-179 + 27)/(1600/(-804) - 6/(-3)). Round s to the nearest 1000.
-15000
Suppose 2*m + 0*m = 4*m. Let l be (-12)/4 + 0 - -84655. Suppose m = -3*j + 90248 + l. What is j rounded to the nearest 10000?
60000
Suppose 0*b - 19 = -3*o + 2*b, -5*o + 27 = -b. Let z(a) = 49*a - 17 + a**3 - o*a**2 - 97*a + 47*a. Let f be z(8). Round f to the nearest 10.
170
Let q be (728/(-234))/((-6)/27). Let w be (q + 12)/(98396/(-24600) + 4). Round w to the nearest one thousand.
160000
Let b = -0.465019 + 0.034329. Round b to two dps.
-0.43
Let t be (-6)/(-10)*(-160)/(-16). Suppose -3*l + 3*w = -0*w + t, 4*l - 8 = -4*w. Suppose l = -r - 3665 - 2635. What is r rounded to the nearest one thousand?
-6000
Let m = -327.71 + 636.69. Round m to 0 decimal places.
309
Suppose -5*y + 23916040 = u, -10*y + 47831992 = 2*u - 11*y. Round u to the nearest 100000.
23900000
Let h = -152.81 - -151.271. Round h to 1 dp.
-1.5
Let n(i) = i**2 + 40*i + 113. Let z be n(-37). Suppose 0 = 4*x - 5*w + 4*w - 481605, -2*w - 240810 = -z*x. Round x to the nearest ten thousand.
120000
Let d(h) = 2*h**3 + 30*h**2 - 14*h - 22. Let g be d(-15). Suppose -185*k + g | {
"pile_set_name": "DM Mathematics"
} |
= 3*b - 3*h, b + 3*h + 6 = 0. Suppose m + b*m = 0. Is m at least 1?
False
Suppose -6 = -2*g + 4*g. Let f be (g/(-2))/(6/16). Suppose 0 = 2*l - v - 0 + 3, f*v = 4. Which is greater: l or -1/6?
-1/6
Suppose 0 = 2*i - 8, -4*y + 260 = i - 2*i. Let d be ((-6)/20)/(y/(-65)). Let a = 6/11 - d. Is a at least as big as 0?
True
Let s = -1/106 + 37/1113. Which is smaller: 0 or s?
0
Let r = -128.1 - -110. Let d = -14 - r. Let l = d - 4. Do 0 and l have the same value?
False
Suppose 0 = 4*o - 3*o - 9. Is 9 at most as big as o?
True
Let i be (-2)/4*(-24)/3. Suppose -2*j = -i*v + 8, 0 = 4*v - 2*v - 4. Let h = -1/5 - 7/15. Which is smaller: j or h?
h
Let n = 7 - 7. Are -2/97 and n equal?
False
Suppose -y - 3*t + 2 = -3*y, 4*t = 5*y + 19. Which is smaller: y or 11?
y
Let s = -85/6 - -33/2. Which is smaller: s or 2?
2
Let q(o) = o**2. Let d be q(2). Suppose 2*h - 12 = -h - d*v, 4*v = 2*h - 8. Let b = h - 4. Which is smaller: b or -3/5?
-3/5
Let y(c) be the second derivative of -c**5/20 + 2*c**4/3 - 6*c. Let s be y(8). Let f = -7/2 + 17/6. Is s less than f?
False
Suppose -364*m + 66 = -362*m. Is m < 32?
False
Let p(l) = l**2 + 7*l + 2. Let w = 8 - 15. Let h be p(w). Let t be (-8)/(-4)*h/4. Which is smaller: t or -1/5?
-1/5
Let b be -2*16/154 + -3. Let t = -40/11 - b. Is t greater than -1?
True
Let o be 1/2*0/3. Is -2 at least as big as o?
False
Let b = 0.07 + 0.03. Which is smaller: b or 0.11?
b
Let g = -2.2 + 1.5. Let s = g - -0.6. Which is greater: -4 or s?
s
Suppose -13*s + 8*s = 20. Is -2 bigger than s?
True
Let o = -2/135 - -56/135. Let y be (7/(-2))/(1/2). Let q be (-2)/y - 4/14. Is o greater than q?
True
Let j(x) = -x**3 + 3*x**2 + 3*x + 2. Let c be j(4). Let o = 3 + c. Which is smaller: 1/3 or o?
1/3
Let g(j) = -j**2 + j + 1. Suppose 0 = -5*u + 2*u + 2*f, -f - 9 = 3*u. Let t = 2 + u. Let l be g(t). Is 0 <= l?
True
Let b be ((-56)/(-35))/((-1)/(-25)). Suppose -b + 2 = a. Let n = -153/4 - a. Is n less than -2?
False
Suppose 0 = -9*z + 8*z + 4. Let t be 2 + (0 - (2 + -1)). Does t = z?
False
Let m be -2 - (-3 + 6)*-1. Let u(c) = 2*c - 3. Let r be u(2). Is m at least as big as r?
True
Suppose 0*d - d = 0. Suppose d = u - 5. Suppose -u*v + 2*v = 0. Is -1/13 greater than v?
False
Suppose -22 = -5*j - 47. Is j greater than or equal to -4?
False
Let s = 4 - 3. Let w = 0.2 + -0.3. Is s at most w?
False
Suppose -5*c + 5 = 0, f + f - c - 3 = 0. Suppose 0 = 8*g - 3*g + f*r - 11, 0 = g - 4*r + 11. Is -1/16 at most as big as g?
True
Let o = -49 + 49. Which is bigger: o or -2/67?
o
Suppose 4*r + 10 = d, 2 = d + 5*r + 28. Is d less than -20/3?
False
Suppose -2*r + 5*r = -b - 3, 4*r + 5*b + 15 = 0. Suppose r = s - 5 - 0. Is 4 at least s?
False
Let w = -0.15 - 0.03. Let s = 0.12 - w. Which is smaller: s or -3?
-3
Let k = 0 + 0.1. Which is smaller: k or 1?
k
Suppose 2*t = 6*t - 4. Suppose 0 = -8*h - 4*h. Which is smaller: h or t?
h
Let j = 163/2 - 80. Suppose -4*k - 2*p + 244 = 0, -2*k = -0*k - 4*p - 112. Let s = k + -178/3. Is j less than or equal to s?
False
Let f = 5752937/125 - 46023. Let u = 698/2625 + f. Let l = -55/63 + u. Which is smaller: -1 or l?
-1
Let h be 1 + 3 + 0 + -14. Let r = -24 - -13. Which is bigger: r or h?
h
Suppose -2*n - 3*n = 20, a - 3 = n. Let t be 8/12*(a - 8). Is -6 != t?
False
Let v = 22 - 22.1. Which is smaller: v or -2/7?
-2/7
Let q be -1*2*1*-2. Let z = q + -3. Let d be 2/(z/(-1))*-1. Is 1 greater than d?
False
Let y be (-1 + -1 + 2)*-1. Let g = 12 + -7. Let s = g + -2. Which is greater: s or y?
s
Suppose -2*k = -5*k + 6. Let l = 4 - 4. Which is greater: k or l?
k
Let g(t) = t**2 + t. Let k(i) = -5*i**2 - 2*i - 1. Let w(d) = 6*g(d) + k(d). Let l be w(-4). Which is greater: 0 or l?
0
Suppose 0*l - 3*l + 6 = 0. Suppose s = -b - 2*b + 24, -b = 3*s. Suppose 3*p = -l*w + 15, -3*w + b = 2*p - 6. Does w = 5/2?
False
Suppose 7*v - 5 = 2*v. Let i = -2582/21 + 123. Which is smaller: i or v?
i
Suppose i = 3*h + 26, -h + 22 = 3*i - 6. Let s = 11 - i. Is s at least 2?
False
Let r(w) be the second derivative of -w**4/12 - w**3/6 - w**2/2 - 3*w. Let a be r(-2). Let h(g) = -g - 3. Let v be h(-2). Is a at most v?
True
Let t = -19/2 + 28/3. Is t > 0.18?
False
Let z = 35 + -383/11. Let k be (15/9)/((-1)/(-3)). Suppose -q + 6*q + k = 0. Which is smaller: z or q?
q
Let q = -0.04 - 0.03. Let m = 0.23 - q. Let o = m - 0.5. Is 0 at least as big as o?
True
Suppose 5*u = -4*x - 61, 0 = -5*u - 5*x - 0*x - 65. Is u at least as big as -49/6?
False
Let w be (-20)/3*36/15. Let c(q) = -4*q + 41. Let k be c(14). Is w smaller than k?
True
Let f be 5/(((-2)/(-4))/((-24)/16)). Is -49/3 >= f?
False
Suppose -5*y + 96 = -3*y. Let r be 2/(-3) + (-52)/y. Is r less than -2?
False
Let d = -13 + 16. Let p = 6 + -1. Let i = p - d. Which is smaller: i or 0.1?
0.1
Let v = 692/5 - 138. Let h(s) = s + 10. Let q be h(-7). Suppose -3*o = -0*o - q. Which is bigger: o or v?
o
Let z = -18.5 + 2.5. Let f = 16 + z. Let g = 0.3 + 0.7. Is f > g?
False
Let c = 31/12 - 11/4. Let p(i) = i**2 + 10*i + 1. Let n be p(-10). Is n greater than or equal to c?
True
Let p = -17/3 - -19/3. Let t be 1*(-18)/(-3) - 3. Suppose t*o = 3*q + 6, 0 = -o + 2. Is p > q?
True
Let h = -4 + 4.2. Which is bigger: h or -3?
h
Suppose -4*u = -u - 6. Which is greater: u or 3?
3
Let n = 27.12 + -34. Let m = -13 - -13.12. Let x = n - m. Is x >= 0?
False
Let c be (-3 + 3)*1/1. Which is smaller: 5 or c?
c
Let r(s) = -s - 7. Let f be r(-9). Let a(g) = -2*g - 6. Let w be a(-4). Let z be 3/(-1)*1 + w. Which is smaller: f or z?
z
Let l = -11 + 24. Let b = 10 - l. Let m = 2 - 2.1. Which is bigger: b or m?
m
Suppose -8*l - 24 = -4*l. Is -8 != l?
True
Let v = 38 + -36. Let t = -1 - -1. Let i = v + t. Which is bigger: i or 1?
i
Let m(x) = 130*x**2 - x. Let o be m(-1). Let u = 919/7 - o. Do -1/2 and u have the same value?
False
Let n(x) = x**3 + 2*x**2 - 4*x - 2. Let t be n(-3). Suppose 2*h + t = -3. Which is smaller: h or -2/5?
h
Suppose 5*p - 19 = 6. Is p < 23/4?
True
Suppose -3*x - 1 = 2*i, -7 + 1 = 5*i + 4*x. Let y = 84 + -171/2. Which is greater: y or i?
y
Let r be ((-8)/40)/(8/70). Are r and -1 non-equal?
True
Let l = 0.2 + 0.8. Suppose -3 - 1 = -4*r. Let o be (-4)/10*r/2. Are o and l unequal?
True
Let c(q) = -3*q**3 + q. Let f be c(-1). Suppose -f*o - 3 = -1. Suppose 4*s + 4*b = -24, -b = 4*b + 25. Are o and s unequal?
False
Suppose -z + 15 = 4*z. Let i be (-1)/z - 20/12. Let b be (-6)/4*16/12. Is b at least i?
True
Let v = 3.5 - -0.5. Let o = -4.25 + 0.15. Let u = o + v. Which is smaller: u or 6?
u
Let f = -54717 - -7660293/140. Let b = f + 1/20. Suppose 2*p = -5*m + p - 10, 2*m - 5*p = -4. Which is smaller: b or m?
m
Let q be -2 + (4 - (-6)/2). Suppose -4*b = 3*m - 0*m - 19, 2*b - q*m = -23. Do -1/11 and b have different values?
True
Let r = -66984203/171 + 391719. Let i = -24/19 - r. Which is smaller: i or 1/3?
i
Suppose r - 1 = 4*n, -3*r + 3 = -0*n - n. Let d = -108 + 1295/12. Is r not equal to d?
True
Let n = 298/3 - 3859/39. Is -1 at most n?
True
Suppose 2*g = -2*o + 4, -2*o + 2*g + 11 = -5. Suppose -3*x - 8 = -x. Let a = x + o. Is a != 6/5?
True
Let r be (-5 - -3) + 0 + -9. Let p = -9 - r. Suppose -6*f = -p*f - 4. Which is greater: f or -0.2?
f
Let n = -2.9 + 3. Let c = -34 + 45. Are c and n non-equal?
True
Let d = 41 + -23. Which is bigger: 17 or d?
d
Let x(b) = b**2 + 6*b + 1. Let h be x(-4). Let l = 3 + h. Do l and -4 have the same value?
True
Let u(c) = -9*c + 3. Let q(w) = -5*w + 2. Let y(d) = -7*q(d) + 4*u(d). Let m be y(-3). Is m <= -1?
False
Let q be (-1 - 0) + (2 - -7). Let g be ((-9)/(-4))/((-2)/q). Let y be 1/4 - g/12. Is -1 bigger than y?
False
Let v = 0 + -1. Let x be (-171)/(-21)*8/(-3). Let n = -149/7 - x. Is v bigger than n?
False
Let r(g) = -g**3 + 8*g**2 + g - 9. Suppose 3 = -5*p + 43. Let i be r(p). Let t be i - (-2 - (-1 - 0)). Is 1 equal to t?
False
Suppose 0 = 5*f + 7 - 2, 3*l - 3*f - 9 = 0. Suppose -1 = 2*c + 2*b + 1, 0 = 4*c + 5*b + 7. Let r be l*c/6*3. Which is bigger: r or -1?
r
Let w = 1 + 4. Suppose 0*i - 5 = w*i. Do -3 and i have the same value?
False
Let n be -3 + 1 - (3 - 1). Let d be (-1)/(-1 + (-6)/n). Let i be 2/(0 - d)*-1. Is -4 > i?
False
Suppose -2*i = -4*z + 50, 2*z - 4*z - 3*i = -5. Let b be 52/(-80) - (-4)/z. Is 0 smaller than b?
False
Let y(j) = j**2 - 2*j + 1. Let r be y(0). Which i | {
"pile_set_name": "DM Mathematics"
} |
etermine 5*f(z) + 6*n(z).
9*z**2 - z + 7
Let u(y) = -3333. Let v(k) = k - 6663. What is -5*u(i) + 2*v(i)?
2*i + 3339
Let a be 0 - (28/21)/1*(-45)/(-12). Let i(y) = 49*y - 1. Let o(k) = 99*k - 2. What is a*i(r) + 2*o(r)?
-47*r + 1
Let b(i) = i - 1. Let h(l) = 4*l - 8. Let w be ((-6)/(-45)*5)/((-8)/24). Determine w*b(j) + h(j).
2*j - 6
Let h(k) = -41*k + 58. Let c(y) = -y - 14. Calculate -5*c(u) - h(u).
46*u + 12
Let g(v) = -v**2 - v + 4. Let s be g(0). Let b(w) = -2*w - 1. Let u(n) = -3*n - 1. Suppose -401*t + 138*t + 141*t + 161 = -145*t. Determine s*u(c) + t*b(c).
2*c + 3
Let b(w) = -5*w**3 + 2*w**2 + w - 2. Let i(v) = -6132*v**3 - 10*v**2 - 5*v + 10. Determine -5*b(r) - i(r).
6157*r**3
Let q(a) = 3*a**2 - 8*a - 18. Let i be q(-5). Let t(x) = i + 20*x - 46 - 51. Let f(b) = 7*b. Calculate -8*f(w) + 3*t(w).
4*w
Let y(x) = -160 + 44 - 7*x + 46 + 35 + 36. Let p(w) = 6*w - 2. What is -6*p(b) - 5*y(b)?
-b + 7
Let r(j) = -j**2 + 2*j + 1. Let q = -5714 + 5712. Let v(m) = m**2 - 3*m - 1. Determine q*v(k) - 3*r(k).
k**2 - 1
Let g = -11370 - -11371. Let r(o) = 14*o**2 - o - 2. Let p(d) = d**2 - 1. Determine g*r(x) - 4*p(x).
10*x**2 - x + 2
Let o(i) = -i**2 + 28*i + 2. Let r(l) = -3*l**2 + 28*l - 19839. Calculate o(z) - r(z).
2*z**2 + 19841
Let i(w) = 785*w**3 + 6*w + 37. Let a(d) = -d - 6. Calculate 6*a(f) + i(f).
785*f**3 + 1
Let b(r) = 2*r**2 - 48*r + 52. Let j be b(23). Suppose i = j - 4. Let v(z) = -17*z. Let d(u) = -2*u. Determine i*v(o) - 22*d(o).
10*o
Let k(g) = g**3 + 3*g**2 + 1. Let t(x) = -2769*x**3 + 78*x**2 + 26. Calculate 26*k(r) - t(r).
2795*r**3
Let i(s) = -4701*s**2 + 55*s + 5. Let a(u) = 7051*u**2 - 88*u - 8. Calculate -5*a(o) - 8*i(o).
2353*o**2
Let t(d) = 4*d + 271. Let o(p) = -p - 30. Let v(j) = 9*o(j) + t(j). Let k(z) = 81*z - 15. Calculate 2*k(u) + 33*v(u).
-3*u + 3
Let u(y) = y**2 - y. Let p = -557 - -563. Suppose g + 0*g = -1. Let l(a) = -6*a. Determine g*l(o) + p*u(o).
6*o**2
Let a(t) = -t**2 + 4*t - 15. Let x(w) be the third derivative of w**5/20 - 3*w**4/8 + 31*w**3/6 + 13*w**2 + 17*w. What is 9*a(v) + 4*x(v)?
3*v**2 - 11
Let i be (-22)/3 - 2/(-6). Let r(u) = -3*u**2 - u - 2. Let a(h) = -866*h + 0 + 6 - 866*h - 868*h + 3476*h - 872*h + 9*h**2. Calculate i*r(s) - 2*a(s).
3*s**2 - s + 2
Let v(y) = -327*y - 2. Let o(k) = 2*k + 3. Determine o(q) + v(q).
-325*q + 1
Let l(m) be the second derivative of -29*m**4/12 - 2*m**2 - 6953*m. Let h(r) = -29*r**2 - 3. Give -4*h(j) + 3*l(j).
29*j**2
Let k(p) = 5*p - 249. Let b(z) = -3*z + 174. Give -8*b(o) - 5*k(o).
-o - 147
Let m(b) = -5*b**3 - 11*b + 8. Let j(t) = t**3 + t - 1. Suppose 268*h = -161*h + 230 + 199. Determine h*m(p) + 6*j(p).
p**3 - 5*p + 2
Let n(t) = -t. Let m be (-5)/((-30)/(-18))*10. Let s = m + 34. Let b(w) = 5*w + 160*w**2 - 158*w**2 + w. Give s*n(l) + b(l).
2*l**2 + 2*l
Let k(z) = 4*z**3 + 6*z**2 - 7*z + 7. Let c(j) = -9*j**3 - 13*j**2 + 14*j - 15. Suppose 0 = 58*g + 21*g - 1027. Give g*k(q) + 6*c(q).
-2*q**3 - 7*q + 1
Let j(b) = b. Let c(o) be the first derivative of -o**6/180 + 7*o**5/120 - 67*o**3/3 + 49. Let u(d) be the third derivative of c(d). Determine 2*j(f) + u(f).
-2*f**2 + 9*f
Let r(l) = 60*l**2 + 5462. Let q(z) = -33*z**2 - 2731. Determine -11*q(p) - 6*r(p).
3*p**2 - 2731
Let k(c) = c - 54. Let t(h) = -7*h + 326. Give -34*k(a) - 6*t(a).
8*a - 120
Suppose -142*i - 52 = -200 - 562. Let o(j) = 3*j**2 - 47*j + 11. Let k(s) = -2*s**2 + 31*s - 7. Give i*o(p) + 8*k(p).
-p**2 + 13*p - 1
Let l(h) = -9*h**3 + 6*h**2 + 4*h. Let s = -2512 - -2508. Let g(p) = -19*p**3 + 13*p**2 + 9*p. What is s*g(v) + 9*l(v)?
-5*v**3 + 2*v**2
Let t be (-1)/((-4)/(-444)) + (-3)/(-1). Let d = t - -110. Let v(w) = -1727*w - w**d + 1727*w. Let i(b) = 2*b**3 - 2*b**2. Determine -i(f) + 4*v(f).
-2*f**3 - 2*f**2
Let b(p) = p + 4*p**2 - 2*p + 35 - 39 - 7*p**3 + 3*p + 2*p. Suppose -28 = -3*k - k. Let v(q) = -14*q**3 + 7*q**2 + 7*q - 7. What is k*b(s) - 4*v(s)?
7*s**3
Let o(h) = -32*h**3 + 28*h + 28. Let v(y) be the first derivative of -y**4/4 + y**2/2 + y + 5701. What is -4*o(m) + 112*v(m)?
16*m**3
Let v(x) = 11*x + 9. Let c(s) = 18*s + 14. Suppose -9*k = -396 + 441. Let a(j) = k*c(j) + 8*v(j). Let h(q) = -4*q + 5. Calculate -9*a(p) + 4*h(p).
2*p + 2
Let r(o) = -7*o**2 + 7*o - 1. Let q(t) = 6*t**2 - 8*t + 1. Let g(m) = m**3 - 25*m**2 + 66*m + 6. Let h be g(22). Determine h*q(a) + 5*r(a).
a**2 - 13*a + 1
Let a(w) = w**3 - 7*w. Suppose 12*q = 10*q - 2*b + 16, 2*q - 4*b - 4 = 0. Let z(s) = -2*s. Suppose 4*r - 42 = 6*r. Calculate q*a(n) + r*z(n).
6*n**3
Let z(k) = -3*k**2 - 149*k + 20. Let x(q) = 3*q**2 + 151*q - 24. Give 5*x(t) + 6*z(t).
-3*t**2 - 139*t
Let l(i) = 109. Let s(x) = 217. Let h(c) = 2*l(c) - s(c). Let o(y) = y - 3. Determine 3*h(r) + o(r).
r
Let b(k) = 4*k**2 - k - 2. Let u(d) = d**2 - d - 1. Let y = -8195 - -8198. Determine y*u(f) - b(f).
-f**2 - 2*f - 1
Let y(v) = -5*v**3 - 4*v**2 + 3*v - 15. Let o(j) = 3*j**3 + j**2 - j + 5. Let k(z) = -3*o(z) - y(z). Let i(w) = 11*w**3 - 3*w**2. Determine -3*i(t) - 8*k(t).
-t**3 + t**2
Let w(n) = 10*n**3 - 166*n**2 + 6*n. Let c(p) = -5*p**3 + 87*p**2 - 3*p. Give -5*c(j) - 2*w(j).
5*j**3 - 103*j**2 + 3*j
Let r(g) = 3*g**2 + 2*g + 2. Let y(i) = 2*i + 3. Let j(t) = -r(t) + y(t). Let l(n) = n**2. What is 3*j(z) + 7*l(z)?
-2*z**2 + 3
Let s be 6*(-4)/(-72) - ((-14)/21 + 0). Let y(j) = j - 1. Let d(n) = -10. Give s*d(w) - 3*y(w).
-3*w - 7
Let r(m) = -3*m - 274. Let p(a) = 23. What is 6*p(y) + r(y)?
-3*y - 136
Let i(a) = -2*a - 2 - 2*a + 2*a + 3*a**2. Let j(t) be the third derivative of t**5/60 + 1674*t**2 + 3*t. Let z be (-4)/6*(6 + -9). What is z*j(u) - i(u)?
-u**2 + 2*u + 2
Let d(x) = -79*x**3 + x**2 - 9*x + 6. Let w(t) = -139*t**3 + 2*t**2 - 17*t + 10. Give 5*d(m) - 3*w(m).
22*m**3 - m**2 + 6*m
Let h(p) = 7*p**3 + 41*p**2 - 27*p - 118. Let m be h(-6). Let s(i) = 2*i**2 + 3*i + 2. Let y(b) = 7*b**2 + 9*b + 6. Give m*s(c) - 3*y(c).
-5*c**2 - 3*c - 2
Let w(s) = -s**2 + s - 2. Let l(y) = 3*y**2 - 2*y + 5. Suppose -2*t = 3*t - 335. Suppose -t - 77 = 4*v. Let i = v - -31. Give i*w(n) - 2*l(n).
-n**2 - n
Let h(y) = -y**3 - 15*y**2 + 17*y + 17. Let i = 32 - 48. Let k be h(i). Let z(s) = 4*s. Let b(u) be the first derivative of u + 395. Give k*z(d) - b(d).
4*d - 1
Let w(a) = -a**2 + 3. Let j(l) = l**2. Let s(k) = 6*k**2 - 5. Let c(d) = 5*j(d) - s(d). Let i = -322 + 317. Determine i*w(h) + 3*c(h).
2*h**2
Let f(h) = -49*h**2 - 25*h - 3. Let u(o) = 8*o - 1. Calculate f(x) + 3*u(x).
-49*x**2 - x - 6
Let c(w) = -w**3 - 3*w**2 + 2*w + 17. Let l(a) = -4*a**3 - 2*a**2 + 3*a + 20. Calculate -6*c(h) + 5*l(h).
-14*h**3 + 8*h**2 + 3*h - 2
Let y(f) = 31*f**2 + 10*f - 8. Let i(r) = 43*r**2 + 11*r - 9. Let k(x) = -3*i(x) + 4*y(x). Let z(s) = 4*s**2 - 6*s + 4. Determine 3*k(w) + 4*z(w).
w**2 - 3*w + 1
Let x = -3 - 4. Let q(p) = -24*p**3 - p**2 - 2*p - 1. Let v be q(-1). Suppose v*c - 48 - 24 = 0. Let s(j) = 2*j - 5. Let y(r) = r - 2. Give c*s(t) + x*y(t).
-t - 1
Let k(f) = -9*f**2 - 72*f - 2. Let m(p) = -17*p**2 - 150*p - 5. Give 5*k(l) - 2*m(l).
-11*l**2 - 60*l
Let c(x) = x**3 + x**2 + x + 3. Let k(q) = 2603*q**3 - 274*q**2 - 274*q - 822. What is 274*c(v) + k(v)?
2877*v**3
Let g(o) = -5*o. Suppose 0*b + b - 44 = 0. Let v(y) = 42*y - 97*y + b*y. Let c = 34 - 30. Determine c*v(t) - 9*g(t).
t
Let p(a) = 4*a. Let d(c) = -c - 1. Let r = 294 - 281. Suppose 0 = -6*w - r + 19. Calculate w*p(o) + 2*d(o).
2*o - 2
Let y(m) = 3*m - 1. Let c = 23 - 34. Let x(r) be the second derivative of r**4/12 - 8*r**3/3 + 3*r**2 + 32907*r. Give c*y(l) - 2*x(l).
-2*l**2 - l - 1
Let x(i) = -10*i**2 + 21*i - 2. Let y(s) = 11*s**2 - 20*s. Determine 2*x(b) + 3*y(b).
13*b**2 - 18*b - 4
Let u(h) = -2*h**3 - h - 2*h**3 + 3*h**3 - 1 - h**2. Let i = 329 + -322. Let n(z) = 416*z + i*z**3 - 820*z + 412*z + 5 + 5*z**2. Calculate n(s) + 5*u(s).
2*s**3 + 3*s
Let y(u) = -8*u**2 + 5*u + 5. Suppose p + 347 = 4*z + 359, -20 = 2*z + 3*p. Let d(g) = -7*g**2 + 4*g + 4. What is z*y(h) + 5*d(h)?
-3*h**2
Let z(t) = 56*t - 333. Let l(i) = 168*i - 1075. Calculate -6*l(d) + 19*z(d).
56*d + 123
Let x(j) = -11825*j**3 + 8*j - 2. Let l(h) = 3943*h**3 - 3*h + 1. Give 8*l(z) + 3*x(z).
-3931*z**3 + 2
Let t(i) = -30*i**3 - 6*i + 6. Suppose 6*o - 4*w + 28 = 0, o - w = -3*w - 10. Let f(m) = m**3 + m - 1. Determine o*f(j) - t(j).
24*j**3 | {
"pile_set_name": "DM Mathematics"
} |
the greatest common factor of 75 and 705?
15
What is the highest common divisor of 8 and 1016?
8
What is the highest common divisor of 32 and 928?
32
Calculate the greatest common divisor of 14 and 112.
14
What is the highest common factor of 18 and 500?
2
Calculate the greatest common factor of 170 and 80.
10
What is the highest common factor of 1519 and 2821?
217
Calculate the highest common factor of 155 and 248.
31
What is the highest common factor of 24 and 150?
6
Calculate the highest common factor of 14 and 371.
7
Calculate the highest common divisor of 5464 and 1.
1
What is the greatest common divisor of 221 and 13?
13
What is the greatest common factor of 1088 and 391?
17
Calculate the highest common divisor of 44 and 836.
44
Calculate the highest common factor of 516 and 60.
12
Calculate the highest common factor of 38 and 1862.
38
Calculate the greatest common factor of 642 and 288.
6
What is the greatest common divisor of 15 and 1635?
15
Calculate the highest common divisor of 6495 and 15.
15
What is the highest common factor of 51 and 68?
17
What is the highest common factor of 3444 and 56?
28
What is the highest common divisor of 300 and 120?
60
Calculate the greatest common divisor of 152 and 6232.
152
Calculate the greatest common divisor of 7682 and 92.
46
What is the highest common factor of 221 and 3939?
13
What is the greatest common divisor of 3 and 5?
1
Calculate the highest common divisor of 19 and 13129.
19
Calculate the greatest common divisor of 17 and 2227.
17
Calculate the highest common divisor of 35 and 395.
5
Calculate the highest common factor of 22 and 374.
22
What is the greatest common divisor of 210 and 246?
6
Calculate the highest common divisor of 72 and 324.
36
What is the greatest common divisor of 2006 and 236?
118
Calculate the highest common divisor of 23 and 368.
23
Calculate the greatest common divisor of 13 and 143.
13
What is the greatest common factor of 49 and 3871?
49
What is the highest common factor of 17219 and 134?
67
What is the highest common divisor of 122 and 183?
61
Calculate the greatest common divisor of 31 and 4619.
31
What is the greatest common divisor of 96 and 1272?
24
Calculate the greatest common divisor of 678 and 78.
6
What is the greatest common factor of 26 and 221?
13
Calculate the highest common factor of 30 and 12765.
15
Calculate the greatest common factor of 6 and 1194.
6
Calculate the greatest common divisor of 63 and 21.
21
What is the greatest common divisor of 513 and 9?
9
Calculate the greatest common divisor of 162 and 4941.
81
Calculate the greatest common factor of 402 and 41205.
201
What is the greatest common divisor of 1288 and 24?
8
Calculate the highest common divisor of 658 and 14.
14
Calculate the highest common divisor of 4 and 1760.
4
Calculate the greatest common divisor of 81 and 81.
81
Calculate the highest common factor of 8755 and 17.
17
Calculate the greatest common factor of 3816 and 576.
72
What is the greatest common divisor of 27 and 216?
27
What is the highest common divisor of 11965 and 5?
5
What is the greatest common divisor of 300 and 12?
12
What is the greatest common divisor of 68 and 578?
34
What is the greatest common divisor of 26 and 13?
13
Calculate the highest common factor of 105 and 175.
35
What is the highest common factor of 7 and 511?
7
Calculate the greatest common divisor of 78 and 342.
6
Calculate the highest common factor of 2041 and 13.
13
Calculate the greatest common divisor of 1984 and 31.
31
What is the greatest common divisor of 750 and 12?
6
What is the highest common divisor of 630 and 2190?
30
Calculate the highest common divisor of 2 and 7318.
2
What is the greatest common divisor of 1392 and 7482?
174
Calculate the greatest common divisor of 299 and 13.
13
Calculate the highest common factor of 306 and 136.
34
What is the greatest common factor of 517 and 220?
11
What is the highest common factor of 18 and 24?
6
Calculate the greatest common divisor of 629 and 153.
17
What is the highest common divisor of 4209 and 207?
69
Calculate the highest common factor of 19 and 171.
19
What is the greatest common divisor of 1617 and 132?
33
What is the greatest common divisor of 1 and 23?
1
What is the highest common factor of 5 and 80?
5
What is the greatest common factor of 90 and 120?
30
Calculate the greatest common factor of 224 and 928.
32
What is the highest common divisor of 68 and 51816?
68
Calculate the highest common divisor of 1281 and 21.
21
What is the highest common divisor of 1881 and 2475?
99
Calculate the greatest common factor of 22 and 4.
2
What is the greatest common factor of 2124 and 324?
36
Calculate the highest common divisor of 559 and 2451.
43
Calculate the greatest common factor of 441 and 637.
49
What is the highest common divisor of 5 and 23?
1
Calculate the highest common divisor of 9178 and 117.
13
What is the greatest common divisor of 228 and 114?
114
What is the greatest common divisor of 52 and 28?
4
What is the greatest common factor of 363 and 99?
33
Calculate the greatest common divisor of 1572 and 12.
12
Calculate the highest common divisor of 1134 and 882.
126
Calculate the highest common divisor of 12 and 192.
12
What is the greatest common divisor of 364 and 819?
91
What is the highest common factor of 11 and 2893?
11
What is the highest common divisor of 38 and 2318?
38
What is the highest common divisor of 3 and 141?
3
What is the highest common factor of 66 and 330?
66
Calculate the greatest common factor of 512 and 608.
32
Calculate the greatest common factor of 405 and 225.
45
Calculate the greatest common divisor of 7 and 3451.
7
Calculate the highest common factor of 198 and 4026.
66
What is the highest common factor of 28 and 126?
14
Calculate the highest common divisor of 38874 and 341.
341
What is the greatest common factor of 2848 and 89?
89
Calculate the greatest common divisor of 3689 and 35.
7
What is the greatest common divisor of 18 and 9?
9
What is the highest common divisor of 3666 and 13?
13
Calculate the highest common factor of 150 and 4775.
25
Calculate the greatest common divisor of 583 and 53.
53
What is the greatest common divisor of 24 and 192?
24
Calculate the highest common factor of 7 and 1337.
7
Calculate the greatest common divisor of 5600 and 448.
224
Calculate the highest common factor of 7298 and 534.
178
What is the highest common divisor of 841 and 261?
29
What is the highest common divisor of 2700 and 250?
50
What is the greatest common divisor of 174 and 282?
6
Calculate the highest common divisor of 12 and 5583.
3
Calculate the highest common factor of 60 and 16.
4
Calculate the greatest common divisor of 1 and 67.
1
What is the highest common divisor of 88 and 1408?
88
What is the greatest common divisor of 3 and 417?
3
Calculate the highest common divisor of 333 and 18.
9
Calculate the highest common factor of 8 and 57.
1
Calculate the greatest common factor of 70190 and 10.
10
Calculate the greatest common divisor of 1064 and 14.
14
Calculate the greatest common divisor of 340 and 2108.
68
What is the greatest common factor of 8 and 9432?
8
Calculate the greatest common divisor of 64 and 1520.
16
What is the greatest common factor of 561 and 17?
17
Calculate the highest common factor of 13 and 611.
13
Calculate the highest common divisor of 3186 and 54.
54
Calculate the highest common factor of 110 and 198.
22
Calculate the greatest common factor of 66 and 891.
33
What is the greatest common divisor of 21 and 7?
7
Calculate the greatest common factor of 6 and 42.
6
Calculate the highest common divisor of 3224 and 19747.
403
What is the highest common factor of 78 and 208?
26
Calculate the highest common factor of 76 and 608.
76
Calculate the greatest common factor of 1374 and 96.
6
What is the greatest common divisor of 308 and 2992?
44
What is the highest common divisor of 60 and 252?
12
What is the highest common factor of 5902 and 52?
26
What is the highest common divisor of 45 and 30600?
45
What is the highest common divisor of 194 and 8342?
194
Calculate the greatest common divisor of 132 and 36.
12
What is the highest common divisor of 32 and 72?
8
What is the highest common divisor of 24612 and 14?
14
Calculate the highest c | {
"pile_set_name": "DM Mathematics"
} |
*c**3 + 22417 - 22417 wrt c?
-66
Let p(s) = -s**6 - s**5 - s**3 - s. Let i(v) = 8*v + 23*v + v**5 - v**2 + 0*v**2 + 9*v**3. Let d(w) = i(w) + p(w). What is the third derivative of d(l) wrt l?
-120*l**3 + 48
Let l(d) = -10*d + 11 + 22 + 8*d. Let n be l(15). What is the derivative of -7 - n*z**4 + 10 - 17 wrt z?
-12*z**3
Let a(u) be the first derivative of 23*u**5/5 - 14*u**2 + 691*u - 1695. Differentiate a(w) with respect to w.
92*w**3 - 28
Suppose 0 = -j - 10*r + 5*r + 29, j + 4*r = 32. Let z = -31 + j. Differentiate -18 - 7*a**2 + 35 - z*a**2 - 3*a**2 wrt a.
-46*a
Suppose -2*q = -2*s - 132, -s = -2*q - 3*s + 148. Let y = q + -50. Differentiate -6*u**3 - 2*u**3 - y + 12 wrt u.
-24*u**2
Let d(t) be the first derivative of -333*t**5/5 - 841*t + 1216. Differentiate d(r) with respect to r.
-1332*r**3
Find the third derivative of -483*x**3 - 543*x**3 + 590*x**2 - 181*x**2 wrt x.
-6156
Suppose k + 43 = 6. Let i = 43 + k. What is the third derivative of 6*h**2 + 0*h**5 + 9*h**2 + 3*h**i + 0*h**5 wrt h?
360*h**3
Let r(b) = -912*b + 4151. Let m(u) = -914*u + 4135. Let f(x) = 6*m(x) - 5*r(x). What is the first derivative of f(w) wrt w?
-924
Let y be (-415)/(-30) + -3 - 8. Let n(u) be the second derivative of -10*u - y*u**3 + 0 + 5*u**2. Differentiate n(a) with respect to a.
-17
Let g(r) be the third derivative of 0 - 19*r**2 - 1/60*r**5 + 21/20*r**6 + 31/6*r**3 + 0*r + 0*r**4. What is the third derivative of g(a) wrt a?
756
Suppose 5*k - 13 = -v, -v = k + 3*v - 14. Differentiate d - 115 - d - 59*d**2 + 57*d**k + 59*d**3 + 4 with respect to d.
177*d**2 - 4*d
Let v(p) be the third derivative of 877*p**5/15 - 1221*p**4/8 + 43*p**2 - 23*p. What is the second derivative of v(y) wrt y?
7016
Let s = 1969 + -1966. Let x(w) be the second derivative of 0*w**2 - 1/15*w**6 + 0*w**s + 0 - 7/6*w**4 + 0*w**5 - 11*w. Find the third derivative of x(c) wrt c.
-48*c
Suppose d + 7*c - 3 = 5*c, 4*c = 0. What is the third derivative of -2*l**3 + 10 + 3*l**d - 38*l**3 - 4 - l**2 - l**2 wrt l?
-222
What is the second derivative of -1 - 1578*z + 1743*z**2 + 4921*z**5 - 3441*z**2 + 1698*z**2 wrt z?
98420*z**3
Let d(j) be the first derivative of -9466*j**3/3 + 185*j**2/2 - 5*j + 4418. Find the second derivative of d(x) wrt x.
-18932
Let v(x) be the first derivative of 197*x**5/5 - x**4/2 + 5*x**3/3 - 555*x**2/2 - 336. What is the second derivative of v(h) wrt h?
2364*h**2 - 12*h + 10
Let z(d) = 3249*d**2 - 6*d + 3149. Let t(h) = h**2 + h - 8. Let s(y) = 8*t(y) + z(y). Differentiate s(x) with respect to x.
6514*x + 2
Let y(x) = 16*x**2 - 5*x + 789. Let t(a) = 15*a**2 - 4*a + 788. Let q(h) = -5*t(h) + 4*y(h). Differentiate q(f) with respect to f.
-22*f
Let s(b) be the first derivative of 2366*b**3/3 - 918*b - 2807. Differentiate s(j) wrt j.
4732*j
Let d(s) = s + 1. Let w(a) = 5*a - 62. Let f be 28/35 + -29*3/15. Let c(v) = f*d(v) - w(v). Find the first derivative of c(g) wrt g.
-10
Let q be 2/(-14) + (0 + -11)/(-77). Let v(s) be the third derivative of -7*s**2 + 0 + 1/5*s**5 - 2*s**3 + 0*s + q*s**4. Find the first derivative of v(m) wrt m.
24*m
Let s(p) = 5731*p**2 + 8*p + 3948. Let j(k) = 5741*k**2 + 7*k + 3952. Let x(c) = -8*j(c) + 7*s(c). What is the first derivative of x(h) wrt h?
-11622*h
Let m(y) = 2*y**2 - 3*y. Let n be m(2). Differentiate 2175*v**2 - 2175*v**n + 39*v**4 + 33 wrt v.
156*v**3
Let q(a) be the second derivative of -a**8/28 - a**7/14 + 5*a**6 - 2*a**4 + a**2 + 2866*a. What is the third derivative of q(o) wrt o?
-240*o**3 - 180*o**2 + 3600*o
Let t = -26 - -33. Let r(u) be the first derivative of -2*u**2 + u + t*u - 6*u + 0*u + 10. Differentiate r(n) with respect to n.
-4
Find the second derivative of t**4 - 163*t**5 - 1818262 + 1818262 - 7943*t - 2*t**2 wrt t.
-3260*t**3 + 12*t**2 - 4
Suppose 3*c + 78 = 2*w, 6 = 2*w - 0*w. Let o be 1 + -1 - c/8. Find the third derivative of -7*l**5 + 2*l**2 + 8*l**2 - o*l**5 wrt l.
-600*l**2
Let d = 5478 - 3329. What is the second derivative of -4361*f + 2143*f - 1 + d*f - 41*f**2 wrt f?
-82
Suppose 120 = l - 6*l. Let j = -19 - l. What is the derivative of 6*v + 3 - v + 3*v**2 - j*v wrt v?
6*v
Let v(b) = -740*b**3 + 80*b**2 + 1852. Let i(q) = 247*q**3 - 28*q**2 - 617. Let h(a) = -20*i(a) - 7*v(a). Find the first derivative of h(j) wrt j.
720*j**2
Let a(d) = 2569*d**2 + 150*d + 4. Let x(l) = 12851*l**2 + 751*l + 22. Let s(i) = -11*a(i) + 2*x(i). What is the second derivative of s(v) wrt v?
-5114
Suppose 0 = 3*m - 45*v + 40*v - 26, 0 = -2*m + 3*v + 16. Find the third derivative of 2 + 21*o**2 + 4 - 33*o**4 - 9 - 16*o**m + 1 wrt o.
-792*o
Let s be 4/(0/2 - -1). Let j = -605 - -607. What is the second derivative of -3*c + 2*c + 13*c**4 + j*c - s*c wrt c?
156*c**2
Suppose -6*y + 103 = -y + 2*f, 0 = 2*y + f - 41. Suppose -2*j + 14 = 3*c, 3*c + y = 3*j - c. Differentiate 0 - 2 - 6*z - j with respect to z.
-6
What is the derivative of -228*l - 7861 + 6247*l + 466 + 1277 wrt l?
6019
Let p(s) = -s**3 - 3*s**2 - s - 4. Let t be p(-5). Suppose 3*n = -6 + t. Differentiate -n + 357*m**2 - 12*m**3 - 357*m**2 with respect to m.
-36*m**2
Let k(o) = -1981*o**4 + 20*o**2 + 987*o + 7. Let h(d) = -990*d**4 + 11*d**2 + 494*d + 4. Let q(m) = 7*h(m) - 4*k(m). What is the third derivative of q(c) wrt c?
23856*c
Let t(l) be the first derivative of 1688*l**7/7 + l**3/3 + 271*l - 1685. Find the third derivative of t(a) wrt a.
202560*a**3
Differentiate 116*o**2 + 46*o**2 + 352*o**2 - 115*o**2 + 13*o**2 - 917 wrt o.
824*o
What is the derivative of -8304 - 6586 - 1575*z**3 + 5285 + 539*z**3 wrt z?
-3108*z**2
Suppose 0 = 95*u - 93*u + 120. Let j be (-648)/u + (-8)/10. Find the second derivative of -j*c - 47*c**4 + 0*c - 7*c**5 + 47*c**4 wrt c.
-140*c**3
Let x(d) be the third derivative of 53*d**5/30 + d**4/4 - 518*d**3/3 + 1964*d**2. What is the first derivative of x(m) wrt m?
212*m + 6
Let a(o) be the second derivative of -79*o**2 - 2 - 49/3*o**3 + 57*o. Differentiate a(n) with respect to n.
-98
Let y(g) be the second derivative of 599*g**7/14 - g**5/10 - 401*g**4/4 - 1298*g. What is the third derivative of y(u) wrt u?
107820*u**2 - 12
Let y = -463 + 465. Find the first derivative of -268 + 5*i**y - 7*i**2 + i**2 + 165*i wrt i.
-2*i + 165
Let f be 34/255 + (-118)/(-15). What is the third derivative of -15*w**2 + 5*w**5 + 16*w**3 - 17*w**5 + 3*w**5 + f*w**5 - 2*w wrt w?
-60*w**2 + 96
Let j(a) be the second derivative of -1021*a**6/10 + 4069*a**2/2 + 2099*a. What is the first derivative of j(f) wrt f?
-12252*f**3
Suppose 0 = -2*b + 2*z + 18, 3*b + z - 2 = 9. What is the third derivative of 2*c**2 - 5*c + 94*c**5 - 66*c**b + 66*c**5 wrt c?
5640*c**2
Differentiate 18 - 65*i**2 + 58*i**2 + 698 + 35*i**2 - 31*i**4 + 1097 wrt i.
-124*i**3 + 56*i
Let c(s) be the first derivative of -9*s**2 + 217*s - 1614. What is the derivative of c(f) wrt f?
-18
Let g(c) = -6*c + 135. Let t be g(22). Find the third derivative of 6 - 8 - 61*o**t - 9*o**3 + 19*o**2 wrt o.
-420
Let g(s) be the first derivative of 19/5*s**5 + 4/3*s**3 + 63 + 6*s + 0*s**2 + 0*s**4. What is the third derivative of g(r) wrt r?
456*r
Suppose 11*v - 37 = 18. Let g(h) = -2*h**2 - 213*h + 618. Let y(l) = l**2 + 107*l - 310. Let f(n) = v*y(n) + 2*g(n). Differentiate f(p) with respect to p.
2*p + 109
Find the first derivative of -225 + 529844*c - 567 + 26*c**2 - 529874*c wrt c.
52*c - 30
Let n(g) = 300*g**4 - 3*g**3 - 2*g - 780. Let u(s) = -s**3 - s + 1. Let j(d) = n(d) - 3*u(d). Differentiate j(l) with respect to l.
1200*l**3 + 1
Let c(y) = 3656*y**3 - 29*y**2 + 15*y + 1. Let b(f) = 2*f + 1. Let d(s) = b(s) - c(s). Find the third derivative of d(m) wrt m.
-21936
Let y(i) = 2*i**2 + 2*i + 4. Let q be y(-2). Let m = q + -4. What is the first derivative of -8*a**m + 5*a**4 - 11 + 1 + 20*a**4 wrt a?
68*a**3
Suppose -39*o + 50*o - 44 = 0. What is the third derivative of -g**3 - 198*g**2 + 4*g**4 - 12 - g**o + 194*g**2 wrt g?
72*g - 6
Let i(m) = -18*m**2 + 279*m + 6. Let g(p) = 33*p**2 - 559*p - 13. Let c(t) = 2*g(t) + 5*i(t). Find the second derivative of c(n) wrt n.
-48
Suppose -3*b = -5*b + 10. What is the third derivative of -6*c + 63*c**b - 4*c + 12*c - 59*c**2 wrt c?
3780*c**2
Let x(h) = -5*h**4 - h**3 - h**2 + h + 2. Let q(t) = 112*t**4 - t**3 - 3*t**2 + 7*t + 3404. Let v(m) = -q(m) + 3*x(m). Find the firs | {
"pile_set_name": "DM Mathematics"
} |
. Let j = 5 - 22. Let d = j + b. What is the closest to d in 1/3, 0.4, 2?
2
Let u = 366 - 365.9. Which is the closest to u? (a) -0.2 (b) 0.1 (c) 6
b
Let v = -5.02 - -0.62. Let l = v + 5.4. Let f be 2/(-8) - 3/(-12). What is the closest to f in -4, -1/6, l?
-1/6
Let c = -533 - -532.6. What is the nearest to 2/5 in c, 0.1, 2/11, -0.5?
2/11
Let r(w) = w - 7. Let o be r(5). Let f = 7 + -5. Let i = -3.38 + 3.48. What is the nearest to i in f, -4, o?
f
Let n = -1 + 0.5. Let y = -0.9 + -3.1. Let u = 2405 - 2405.3. What is the nearest to y in n, 2/3, u?
n
Let q = -12 + 6. Let g = q - -6.3. Let h = -1.34 - -0.84. Which is the nearest to 1? (a) g (b) -1/3 (c) h
a
Let j = -4.3 + 0.3. Let c = -30.1 + 27. Let i = c - -3.2. What is the nearest to i in -1/3, 0.2, j?
0.2
Suppose 19 = 4*t - 5*y, t - 90 = -4*y - 101. Which is the nearest to t? (a) 1/3 (b) -0.4 (c) 3 (d) 2
a
Let f be -3 + (-7)/14 - 3/2. What is the closest to 1/7 in -1/5, f, 3?
-1/5
Let a = 2.8 - 2.8. Let m = -5 + a. What is the closest to -1/3 in 4, 0.1, m?
0.1
Suppose -j - 30 = 4*j. Let r be -4 - -2 - 2/j. Let l = -17 - -13. Which is the nearest to 1/3? (a) r (b) 1/7 (c) l
b
Let q = -7844 - -7843.9. Let h = -2.98 - 0.02. Let s = h - -2. What is the nearest to s in q, -5, -4/5?
-4/5
Suppose 4*j + 3*r = 3, 128*j = 129*j - 5*r - 18. Which is the closest to -2/41? (a) 1/3 (b) 8 (c) j (d) -4
a
Let j = -47 + 237/5. What is the nearest to -1 in 1/77, j, 5?
1/77
Let o = -165.8 - -173. Let z = 8.2 - o. What is the closest to z in -2/9, -4, -9/5?
-2/9
Let q = -1.3 + 1.8. Let m = 0.094 + -0.584. Let s = 0.69 + m. Which is the closest to 2? (a) 2/3 (b) q (c) s
a
Let r be (2/20)/(7/14). Let u = 0.03 + 0.04. Let q = -1.93 - u. Which is the closest to -2/7? (a) r (b) q (c) 1/7
c
Let m = -0.03 + 4.03. Let g = 0.01 - -0.09. What is the nearest to -2/5 in m, g, 5?
g
Let g = -11.95 + 15.95. What is the nearest to 1 in -4, g, -1, -0.06?
-0.06
Let h = -2.1 - -1.1. Let z = h - -1.1. Let d = -1 - 0. What is the nearest to d in -2/7, z, 2/5?
-2/7
Let p = 20 + -20.2. Let v = -63/2 - -31. Which is the nearest to p? (a) v (b) 0.2 (c) 0
c
Let g = -18 + 11. Let k = g - -6. Let y = 0.7 + k. Which is the closest to -0.1? (a) 1/8 (b) 4 (c) y
c
Let u = -6816 + 6820.929. Let k = u - -0.071. Let i = 0.2 - 0.2. Which is the nearest to i? (a) k (b) 2/9 (c) 4
b
Let f = 321 + -322. Which is the closest to -1/3? (a) f (b) 3 (c) 4/7 (d) 24
a
Let p = -1135/4986 + 3/554. Which is the nearest to -1? (a) 5 (b) p (c) 0.19
b
Let y be (-33)/(-7) - 3 - 2/(-7). Suppose -10 = -5*b - s, -s = -3*b + 4 + y. What is the nearest to -2 in b, 1/5, 4?
1/5
Let t(u) = -3*u + 26. Let r be t(11). Which is the closest to 2/9? (a) r (b) -0.1 (c) 0.1 (d) -2/9
c
Let o = -266.9 - -267. Let q = 5 - 5.2. Which is the nearest to o? (a) -2 (b) 0.17 (c) q
b
Let r = -6.82 + 2.82. Which is the nearest to 0.3? (a) -0.3 (b) r (c) -1/2
a
Let g = 1.047 - 0.047. Let z = 21 + -19. Which is the closest to -31? (a) -2/5 (b) g (c) z
a
Let z = 0.12 - -4.88. Let a = 0.5498 + -0.0498. Let l be -3 + 1 + 5/2. What is the closest to l in z, 4/7, a?
a
Let z = 1486 - 1485.6. What is the nearest to 2/9 in -4, z, -1?
z
Let q be (-101)/(-9) - (-2)/(-9). Suppose -3*h - 5 = -q. Which is the closest to 0.2? (a) h (b) -2 (c) -5
a
Let q(r) = -r**2 - 41*r - 79. Let j be q(-2). Let i = -1 - -3. Which is the nearest to i? (a) 2/3 (b) -7 (c) j
a
Let a = 6 + -6.7. Let v = -1.2 - a. Let r = -950/3 - -317. What is the nearest to -4 in v, r, -1?
-1
Let h = 1.98 + -3.98. Which is the closest to -0.2? (a) -6 (b) h (c) 0
c
Suppose 0 = f - 8 + 10. Let m be ((-4)/f)/(6 + -2 + 0). Which is the closest to -1/16? (a) -1 (b) -0.1 (c) m
b
Let k = -0.1028 + 6.1028. Which is the closest to 2/11? (a) 0 (b) 0.2 (c) k (d) 2
b
Let f = -12 - -4. Let i = f + 2. Let t = 1.41 + -6.41. What is the nearest to i in t, 1, -4?
t
Let x = 17 - 13.2. Let d = x + -3.3. Which is the closest to 0? (a) 2/9 (b) 2 (c) d
a
Let n = -0.4 + -4.6. Let i = 0.7 - 2.6. Let q = 2.3 + i. What is the nearest to -2/7 in 4, n, q?
q
Let r = -1063/15 - -212/3. Let k = 4.4 - 5. Which is the closest to 2/3? (a) k (b) -5 (c) r
c
Let k be ((-87)/2)/((-72)/104). Let m = -63 + k. Let j = -0.04 - -4.04. Which is the closest to 1/2? (a) m (b) j (c) -3/5
a
Let q = -1.34 + 0.24. Let g = q + 9.1. Let p = -5 + g. Which is the nearest to -2? (a) 0.3 (b) p (c) 1
a
Let r be 28/161*(-506)/(-132). Let z = -2 - -2. Which is the nearest to r? (a) z (b) -1 (c) 0.2
c
Let q = -351 + 1756/5. What is the nearest to 3 in -4, q, -2/3?
q
Let c be (8/(-208))/((-2)/8). What is the nearest to -0.3 in -5, 0.4, c?
c
Let h = -144.8 + 145. Let p = 121 - 119. Which is the nearest to -6/7? (a) h (b) p (c) -1
c
Let t be (-7 + -4)*(-2)/11. What is the nearest to 5 in 2/7, t, -0.9?
t
Let u(y) = -100242*y**2. Let x be u(-1). Let t be 3/(-15) + x/(-585). Let n = t + -171. What is the closest to 0.1 in -1, -3, n?
n
Suppose 0 = 3*o - 4*s - 1, -2*o + 2*s = -2*s - 2. Let k be 2/(-5) - (-4)/(-15). What is the nearest to k in o, -1/10, -2/15?
o
Let i = -222 - -217. Which is the nearest to -0.1? (a) 4/5 (b) 5 (c) i
a
Let s = -65 + 75. Let d = -0.097 + -3.903. What is the closest to s in d, 1, 3?
3
Let r = 38/85 + 6/17. Suppose 4*x - 4*v = 4, -3 = -x - 0*x + 3*v. Let p = 9/29 - 41/319. Which is the nearest to x? (a) r (b) p (c) -4
b
Let q = 11 + -13. Let r be 8/(-2)*q/(-7). What is the closest to 0.1 in r, -3, -0.1?
-0.1
Let q = -497/5 + 99. Let f = 12.8 - 13.8. Let o = 1/46 + 179/230. Which is the nearest to f? (a) q (b) o (c) 0.3
a
Let u = -28 + 28.3. Which is the closest to 0? (a) 3/5 (b) 5 (c) u
c
Let l = 6 + -1. Let g = 0.3 - 0.6. Which is the closest to g? (a) -0.5 (b) -3/2 (c) l
a
Let g(p) = -p - 19. Let n be g(-15). What is the nearest to -2 in -5, -0.3, n?
-0.3
Let b = 187 - 1307/7. Let t = 52 - 262/5. Let i = 10.48 + -10.98. What is the closest to t in i, b, -1?
i
Suppose -34 + 59 = 5*n - 4*z, 0 = 5*n - 3*z - 25. Let y = 5 + -8. Which is the closest to 3? (a) n (b) -0.1 (c) y
a
Suppose -10 = -5*t - 140. Let l be (-65)/t - 6/4. Suppose -v = -0 + l. What is the nearest to 2/5 in 4, v, 3?
v
Let s be (-1)/(4/30)*(-924)/(-99). Let k = s + 212/3. Let p = 2.5 - 3. Which is the nearest to p? (a) 2 (b) -4 (c) k
c
Let q(j) = -j**2 - 10*j - 4. Let z be q(-10). Let r = -4/23 + -103/69. Which is the nearest to -0.1? (a) r (b) z (c) 2/7
c
Let t = 5.7 - 6. Let q = -0.0643 + 0.2643. Which is the nearest to 0.2? (a) t (b) -1/2 (c) q
c
Let z = -371/2 + 187. What is the closest to 1/3 in -1, z, -6, -5?
z
Let j be (-6)/2 - (5/1 + -3). What is the nearest to -1 in 2, 1, 0.4, j?
0.4
Let y = 0.3 + 1. Let w = 0.3 - y. What is the closest to w in -2, 5, 1?
-2
Let q = -17064 + 17065. Let j = 1.33 - 1.4. Which is the nearest to 0.1? (a) j (b) 4 (c) q
a
Let o be (-6)/846*(2 + -3 + 0). What is the closest to 1/3 in o, 2, -1/4, -0.5?
o
Let n be (191 + -194)/(6/(-10)*1). What is the closest to 0.1 in -1/4, 0.4, -0.19, n?
-0.19
Let q = -746 - -747. Let n = -0.2 - -0.1. Let y = 0.3 + n. Which is the closest to y? (a) -1/5 (b) -0.4 (c) q
a
Let i = 11 - 11.01. Let h = -52.6 - -53.1. Which is the closest to 1? (a) -2 (b) h (c) i
b
Let x = 0.07 + -0.17. Let h = 22 + -65/3. Let n = -0.9 + -2.1. What is the nearest to x in 1/6, n, h?
1/6
Let f = 13 - 8. Suppose -k + 23 = -3*n + f*n, 0 = k + 5*n - 38. Let u = -16 + k. Which is the nearest to -0.5? (a) 0.4 (b) 4 (c) u
a
Let d(m) = m + 11. Let z be d(-6). Let w = -2816/9 - -940/3. Which is the closest to -0.2? (a) z (b) -0.2 (c) w
b
Let c = -5.04 - -0.04. Suppose v + 14 = -2*n, -7*v + 5*n + 26 = -5*v. Let u = 1/47 + 89/235. What is the closest to v in 2/13, c, u?
2/13
Let o = -284 - -283. What is the nearest to 2 in o, -9, 0.5?
0.5
Let r = -41.3 + 41.7. Which is the nearest to 4? (a) -16 (b) 2/7 (c) r
c
Let l be -8 + (-42)/(-7) - 16/(-6). What is the nearest to l in -3, 1/5, -0.5?
1/5
Let u be 5/(-2)*(-4)/175*-10. Let i be (-1)/(-2)*462/(-3). Let d = i + 384/5. Which is the closest to u? (a) 1 (b) d (c) -0.5
c
Let d = -20 + 16. Let l be d/(-1016)*8/6. Let t = l + -1913/1524. What is the nearest to -0.1 in -2/17, t, 5?
-2/17
Let w = 0.132 + | {
"pile_set_name": "DM Mathematics"
} |
r a.
-43
Solve -7 + 7 - 8 + 25 = 3*v - 2*a, -9*v + a = -76 for v.
9
Solve 5 = z - n + 1, -5*z - 221*n + 203*n - 26 = 0 for z.
2
Solve -5*f - 774*c + 770*c = -31, -2*f + 4*c - 10 = 0 for f.
3
Solve 0 = 3*n + 2*x + 2, x + 158 = -313*n + 316*n + 166 for n.
-2
Solve -28 = v + 83*d - 76*d, -5*v - 475 + 439 = 9*d for v.
0
Solve 3*u - 235*q + 27 = -234*q, -5*q = 3*u + 27 for u.
-9
Solve -11 = 2*s + 3, -s - s = 51894*x - 51895*x + 15 for x.
1
Solve 0*f + 11 = 135394*z - 135392*z + 3*f, -4*z - 23 = -3*f for z.
-2
Solve w - 4*n - 2012 = -2095, w - 291 = -13*n for w.
5
Solve -b + 5*l + 57 - 117 = 4*b, 0*b + 5*b + 5*l + 30 = 0 for b.
-9
Solve 27 = -9*g - 2*o, 4051*g - 13 = 4055*g + o for g.
-1
Solve -2*c = t + 9, 339*t + 4*c = 680*t - 338*t - 3 for t.
-3
Solve 15*t - 12*i - 43 + 91 = 0, -12 = i - 4*i for t.
0
Solve 5*z - 86 = 3*t, -3*z = -z - 5*t - 372 + 522 - 287 for z.
1
Solve -5*v - 2*u = 141 - 53, -862*v + 106 = -868*v - 2*u for v.
-18
Solve 2*c = -1352*y + 1354*y - 14, -c - 13*y + 133 = 0 for c.
3
Solve 312*z - 164 = 2*w + 318*z, -3*w - 260 = 2*z for w.
-88
Solve -3*g = 4*y - 5*y - 10, 5*g - 58411*y + 58424*y = -0*g - 42 for g.
2
Solve 138*c - 80248*r + 80244*r = -1388, 0 = -2*r + 4 for c.
-10
Solve -b = 5*i + 181, 0*b - 10*b + 14*b - 98 + 282 = -5*i for i.
-36
Solve -v - 88 = -26*g, 0*g = 3*g - 19*v + 21*v + 11 for g.
3
Solve 713*f - 36 = 1424*f - 709*f + 5*c, 18 = 2*f - 4*c for f.
-3
Solve -5*u + 183*f + 31 = -187*f + 369*f, f + 13 = -4*u for u.
2
Solve 0 = -2*i + 3*g - 245, -8910*i + 8909*i + 3*g + 2*g = 420 for i.
5
Solve -3*y + 2*x - 2413 = -2360, -35*y - 2*x = 137 for y.
-5
Solve 4*m = -279*n + 275*n - 3*m - 314, n = m + 37 for n.
-5
Solve -2*x + 4*n + 1586 - 3182 = -1580, 3*x - 5*n + 18 = 0 for x.
4
Solve -2*k = 3*u + 10, 2*k + 5*u - 3 = -18 + 5 for k.
-5
Solve -15*i - 3*b = -413 + 416, 5*i = b + 11 for i.
1
Solve 0 = -19*s + 5*i - 146 + 18, 0 = 207*s - 212*s - 15*i - 50 for s.
-7
Solve 7836*x - 7833*x + 9 = 3*a, 2*x + 2*a + 0*a + 26 = 0 for x.
-8
Solve -6*b - 2*b - 4*h = 880 - 988, -4*h = 17*b - 117 for b.
1
Solve -20 = -5*f + 5*a, -f - 19925477*a + 19925481*a - 11 = 0 for f.
9
Solve 13*c - 11*c = -3*q + 59, 4*c = -5*q - 19 + 120 for c.
4
Solve 2*o + 200 = -o - 5*s, -6*o - 456 - 11 = -3*s - 80 for o.
-65
Solve -5*m + 7 = 2*i - 3*i + 2*i, 198*i + 14*m = 201*i + 66 for i.
-8
Solve 2*i = 5*o - 682 + 664, 2*o = -o - 2*i - 2 for o.
2
Solve -15*y + 5*y - 4*w - 38 = -8*y - 220, 4*w - 35987 = -387*y for y.
93
Solve 12*c = u + 29, -4*c + 3 = -10*u + 13*u - 2*u for c.
2
Solve -3*n + 183 = 8*p - 110*p, 4*p - 77 = -85 for n.
-7
Solve 0 = -d + 2*m + 29, -632 + 1050 = 3*d - 2*m + 8*m + 511 for d.
-1
Solve 0 = -p - 6030*x + 6027*x - 112, -89 = 8*p + 3*x + 13 + 38 for p.
-4
Solve -2*p - 58 + 5 = 3*w, 2*p + 1067 = -78*w - 3*p - 405 for w.
-19
Solve 53 = -4*p + 11*w, 4*w + 31 + 32 = -2*p + 65 for p.
-5
Solve 3*f = 876*o - 879*o - 42, -61*o + 53*o - 160 = -4*f for o.
-18
Solve 3*v - 12*c + 290 = 299, 2*v - 5*c = -0*v + 9 for v.
7
Solve 114 = -2*r + 3*q, -8499*r + 8495*r = -9*q + 348 for r.
3
Solve 0 = -48*v + 5*k - 101 + 376, 2*v - 2*k - 19 = v for v.
5
Solve 4*m + 8*g + 56 = 4*g, 2*m + 44*g - 28 = 46*g for m.
0
Solve -3*j + 104 = -4*j + 56*n - 75, 0 = 5*j + 7*n + 34 for j.
-11
Solve 138*v - 17 = -5*p + 274*v - 138*v, 311 = 59*p - 4*v for p.
5
Solve 96*h + 4*m = 11095 - 10935, 2*m = -2*h + 80 for h.
0
Solve 2817 - 2709 = f - f - 3*z, 0 = -f - 8*z - 288 for f.
0
Solve 0*x - 3 = 3*x - 35*h + 40*h, 2*x + 14*h = -4*x + 2*x - 48 for x.
9
Solve 10 = 119*k + 117*k - 234*k - 4*d, -3*k + 20*d + 15 = 25*d for k.
5
Solve -208*p + 2*k - 33 = -209*p, -24 - 293 = -5*p - 18*k for p.
-5
Solve u - 23 = -2*i, -76*i + 72*i - 5*u - 39 = -94 for i.
10
Solve 430*k - 3888 = 2*g, -10*g + 2*k - k + 12 + 6 = -10*g + 3*k for g.
-9
Solve 77 + 49 = 3*t - 4*c - 14, 7*t - 4*c = 156 for t.
4
Solve -f - 32 = w, -23*f + 23*f = 5*w + 124 + 51 for f.
3
Solve 33*d - 13*d = -3*j - 91, 4*j - 2*d - 27 = 2*d - d for j.
3
Solve -11*l + z - 4*z = 55, 4*l + 153 = l - 49*z + 44*z for l.
4
Solve 6054*a - 2*p = 6055*a - 4, 4*a + 20 = 10*p for a.
0
Solve -s + 2*m - 16 = 0, -39*s - 2*m - 82 - 232 = -10 for s.
-8
Solve -28*a + 92 = 7*r - 3*r, 641 - 633 = -2*r + 4*a for r.
2
Solve -134*c + 7*j = -137*c - 38, -4*j = 4*c + 299 - 243 for c.
-15
Solve 0 = 2*v - 44, -y - v + 10 = y + 5*y - 4*v + 111 for y.
-5
Solve -h - y + 124 = 10*y, 26*y - 57 = -8*h - 26*y + 49*y for h.
3
Solve -2*v + 38 = 21*o - 19*o, -2*v = 52*o - 738 for o.
14
Solve -2*n = -4*h - 14, -h - 240 = 2*n + 123 - 352 for n.
-3
Solve 5*t = 4*v - 19, -6*v + 16*v + 19 = -9*t + 2*v for t.
-3
Solve -3737*l = -3732*l - 2*v + 5, -l + 8*v = 39 for l.
1
Solve 4*f = 95*h + 7 + 1, 0 = 23*f - 3*f - 22*f + 3*h + 4 for f.
2
Solve -10*a + 8*a + 0*a - 65 = -r, a + 32 = 0 for r.
1
Solve 8 + 6 = -4*a - 3*b - 0, b = 6*a + 10 for a.
-2
Solve -5*o - 3*f = -10, 0 = 3*o + 2*f - 54121 + 54116 for o.
5
Solve 3*t + 8*d - 34 = 0, 5*d - 29 = 74*t - 224*t + 76*t + 76*t for t.
-2
Solve -c - 10 = 2*h, 5*h - 67*c + 29 = -0*h - 70*c for h.
-1
Solve -v + 0*v + 15375 - 15353 = 0, -70*g - 3*v = -136 for g.
1
Solve 6*k = 4*k - 3*d + 4, 0 = -307*k - 772*k + 2*d + 2158 for k.
2
Solve 8*t = -16*t - 7 - 17, 8*y - 2*t - 79 = -61 for y.
2
Solve i - 10*i - 4*r = -13*i + 4, -368 = 97*i - 4*r for i.
-4
Solve 0 = 3*p - 15*s + 84, 0 = -3*s + 962 - 947 for p.
-3
Solve 6*k - 12891*x + 12896*x - 45 = 0, 2*k + x - 13 = 0 for k.
5
Solve 3*a + 160*p + 90 = 152*p, -3*p = 5*a + 150 for a.
-30
Solve 6*q - 6*q + 3*q = -15, -14*o + 4*o = -5*q + 16 + 19 for o.
-6
Solve p + 10 + 8 = -4*s + 1, -49 = -2*p - 12*s + 22*s - 11 for p.
-1
Solve 2776*u = z + 2777*u - 29, 3*z = 2*u - 38 for z.
4
Solve 34*m - 6 + 2 = 32*m + 4, 0 = 37*j - 3*m + 567 for j.
-15
Solve 5*m + 0*m + 16977*a - 16980*a = -42, 0 = -m + 5*a - 48 for m.
-3
Solve 340794 = 2*c + 5*b + 340941, -120 = c + 4*b for c.
4
Solve -5*m = -c + 48, 6*m - 585 = 224*c - 233*c for m.
3
Solve -3*m = -a + 10, -a + 117*m - 120*m - 8 = 0 for a.
1
Solve -3*s - 5*z = 144, -s = z + 4787 - 4741 for s.
-43
Solve -i + 11*i + 48 = -18393*z + 18396*z, -4*z = -i - 27 for i.
-3
Solve -5*f - n - 37 = n, 46*f - 14*f = -2*n - 64 for f.
-1
Solve 3*g + 475 = 5*y, -4*g - 2805*y + 935*y = -935*y - 934*y - 72 for g.
-5
Solve -2*z + 207288*h - 207282*h - 8 = 0, -5 = 2*z - 5*h for z.
5
Solve -3*g + 2*g + s = -0*s + 22, 3*s - 47 - 25 = 0 for g.
2
Solve t + 6*y + 42 = 3*t, 0 = t - 11934203*y + 11934205*y - 6 for t.
12
Solve 21*y - 14*y + 18 = y, -5*x + 4*y = 5*y - 77 for x.
16
Solve -2*z - 2 = 3210*r - 3213*r, 4*r = 5*z - 5 + 3 for z.
2
Solve -5*d = -9*r + 42 - 271, 2*d - 3*d = -44 for r.
-1
Solve 13 = v + r, 3*r = -287359*v + 287355*v + 43 for v.
4
Solve 0 = -5*v - j - 2*j + 96, -2737*j = 3*v - 2732*j - 64 for v.
18
Solve -2*a = 12, 6*k - 2*k - 4*a - 126 = 125 - 247 for k.
-5
Solve 103*x = 123*x - 22*x + 2*r, 4*r + 18 = -5*x for x.
-2
Solve 4*o - 76 - 83 = -25*f, -63*f = -3*o - 59*f - 40 for o.
-4
Solve 9067*h + 11*f + 23 + 26 = 4538*h + 4534*h, -4*f = 16 for h.
1
Solve 4*f - 24 = w - 4*w, -71*f = -5*w - 64*f - 42 for w.
0
Solve -17*v = -2*l + 382, -67*l + 70*l + v + 2*v + 2*v = -98 for l.
4
Solve -3*m - 2*g + 881 = 912, -3*m + 2*g - 35 = 0 for m.
-11
Solve 3*w = 8*w - 48*z - 495, w - 13 = 8*z - 6*z - z for w.
3
Solve 22*k + 28*k - 18*k - 1695 = 2*w + 1597, -10 = -5*w for k.
103
Solve -5*i = 40*y + 34*y - 163, 5*y = -27479*i + 27477*i + 16 for i.
3
Solve 4*h = -z + 57, -219*z - h = 60 + 582 for z.
-3
Solve 15*z - 224 = 8*z + 3*z, 158 = 3*s + 2*s + 3*z for s.
-2
Solve -g + 3 = 0, -2*h + 250 = 3*h - 7703*g + 7708*g for h.
47
Solve -57*g + 4 = -59*g - 66*l + 60*l, 2*l = -3*g + 8 for g.
4
Solve 10*u = -64*y + 67*y - 115, 190 = 4*y + 8*u - 3*u for y.
45
Solve k - 133 = 3*a, -k - 49957*a = -49958*a - 45 for k.
1
Solve h + 6 = -4*j, -4*h - 9*j + 13 - 4 = 19 for h.
2
Solve d + 3 = -4*s, -91 + 76 = -4*s - 36*d + 33*d for s.
-3
Solve 5*g + 5*o - 15 = -0, -4*g + 34 = -6*o - 18 for g.
7
Solve 5058 = z + 4*t + 5074, -z - 6*t - 24 = 0 for z.
0
Solve l + 4*o = -23, -8*l - 59 = -3*o - 50 for l.
-3
Solve 22*c - 3*z = 18*c + 268, -3*c - 67*z + 1675 = -86*z for c.
1
Solve 5*y + 242 + 244 - 217 = -3*s, 3*s + 3*y + 267 = 0 for s.
-88
Solve d + 8 = 3*v, 38779*d - 38776*d = -5*v + 4 for v.
2
Solve -45 = 5* | {
"pile_set_name": "DM Mathematics"
} |
tre in millilitres?
250
How many micrograms are there in 18.96741 nanograms?
0.01896741
What is 0.0929895 minutes in microseconds?
5579370
Convert 3.092518 kilometers to meters.
3092.518
What is 6/5 of a litre in millilitres?
1200
How many centimeters are there in 467.4868mm?
46.74868
How many kilometers are there in 0.90527nm?
0.00000000000090527
How many micrometers are there in 1/16 of a meter?
62500
How many decades are there in 6731.835 years?
673.1835
How many months are there in fifty-nine quarters of a year?
177
How many months are there in 5/4 of a century?
1500
Convert 47034.82l to millilitres.
47034820
What is 96.73998 centuries in months?
116087.976
What is 0.76998 micrometers in millimeters?
0.00076998
How many kilograms are there in 63.81405 milligrams?
0.00006381405
How many millimeters are there in 31/5 of a meter?
6200
Convert 0.1547913 grams to micrograms.
154791.3
Convert 2791.053l to millilitres.
2791053
What is three eighths of a litre in millilitres?
375
Convert 63327.13g to nanograms.
63327130000000
How many meters are there in 5.994226 millimeters?
0.005994226
How many millilitres are there in eleven halves of a litre?
5500
What is six fifths of a millisecond in microseconds?
1200
What is 0.824915 days in minutes?
1187.8776
Convert 7869.977 millilitres to litres.
7.869977
What is 9/10 of a day in minutes?
1296
How many milligrams are there in 3/40 of a kilogram?
75000
Convert 2727026.1 months to decades.
22725.2175
Convert 41764.13m to centimeters.
4176413
What is three fifths of a millimeter in micrometers?
600
How many days are there in 1775.73168s?
0.02055245
What is 99.5933799ms in weeks?
0.00000016467159375
How many nanoseconds are there in one twentieth of a microsecond?
50
What is 34/5 of a micrometer in nanometers?
6800
What is 1.599567 litres in millilitres?
1599.567
What is 2/125 of a tonne in kilograms?
16
How many nanograms are there in nine tenths of a microgram?
900
What is 3.808415kg in micrograms?
3808415000
How many years are there in thirteen quarters of a millennium?
3250
How many milliseconds are there in 55/4 of a second?
13750
How many micrometers are there in twenty-one fifths of a millimeter?
4200
What is 712.6182 micrograms in kilograms?
0.0000007126182
What is 25/4 of a microsecond in nanoseconds?
6250
How many minutes are there in one quarter of a week?
2520
What is 14.18735ug in nanograms?
14187.35
How many micrometers are there in 1/10 of a millimeter?
100
Convert 8012.849 tonnes to nanograms.
8012849000000000000
What is 3/25 of a millimeter in micrometers?
120
How many micrometers are there in 46/5 of a millimeter?
9200
What is 73/5 of a meter in centimeters?
1460
How many micrometers are there in 1/4 of a millimeter?
250
Convert 67.17549cm to meters.
0.6717549
How many years are there in thirty-one halves of a century?
1550
How many hours are there in 26065.917 milliseconds?
0.0072405325
How many days are there in 62.31153 weeks?
436.18071
What is five sixths of a week in hours?
140
How many millimeters are there in 85739.77 centimeters?
857397.7
Convert 0.4912848ml to litres.
0.0004912848
What is 0.066082 milligrams in micrograms?
66.082
Convert 73630.95mm to centimeters.
7363.095
Convert 3.23476 nanometers to micrometers.
0.00323476
Convert 842.0764 milligrams to micrograms.
842076.4
How many centimeters are there in 833795.3mm?
83379.53
How many micrograms are there in thirty-one fifths of a milligram?
6200
Convert 92.26704 meters to nanometers.
92267040000
Convert 5.329264m to centimeters.
532.9264
How many grams are there in 891140.3t?
891140300000
How many minutes are there in 14/9 of a day?
2240
How many grams are there in 1/10 of a kilogram?
100
What is one tenth of a litre in millilitres?
100
What is seven quarters of a litre in millilitres?
1750
How many micrograms are there in 3/40 of a gram?
75000
How many months are there in twenty-nine sixths of a year?
58
How many decades are there in sixty-one halves of a century?
305
Convert 348.8766 months to millennia.
0.02907305
How many months are there in 1/20 of a millennium?
600
How many months are there in fourty-four fifths of a decade?
1056
How many millilitres are there in twenty-nine halves of a litre?
14500
How many milligrams are there in 14.06885t?
14068850000
Convert 0.9069445 years to months.
10.883334
How many centuries are there in 19397.8 years?
193.978
What is 4.967537 weeks in nanoseconds?
3004366377600000
What is 72/5 of a litre in millilitres?
14400
How many milliseconds are there in 376.3716ns?
0.0003763716
How many litres are there in 367391.3ml?
367.3913
Convert 9246.87 microseconds to minutes.
0.0001541145
What is 6/5 of a centimeter in millimeters?
12
What is fifteen quarters of a century in months?
4500
What is 31/2 of a microgram in nanograms?
15500
What is 3/8 of a week in minutes?
3780
How many minutes are there in 2/15 of a hour?
8
What is thirty-three fifths of a millennium in years?
6600
What is 1/5 of a minute in milliseconds?
12000
What is 447129.3 seconds in minutes?
7452.155
What is fourty-two fifths of a decade in months?
1008
What is thirty-three fifths of a millennium in years?
6600
Convert 0.9623274kg to tonnes.
0.0009623274
Convert 6901.695 months to centuries.
5.7514125
What is 8.837065 weeks in nanoseconds?
5344656912000000
What is twenty-seven quarters of a millennium in years?
6750
What is one quarter of a microgram in nanograms?
250
What is 0.5914349ml in litres?
0.0005914349
How many litres are there in 40.34919ml?
0.04034919
What is 6/25 of a litre in millilitres?
240
How many micrometers are there in 5/8 of a millimeter?
625
How many decades are there in 48/5 of a millennium?
960
What is twenty-one halves of a kilometer in meters?
10500
What is 26391.33 months in decades?
219.92775
How many decades are there in 61766.24 years?
6176.624
How many millilitres are there in seven eighths of a litre?
875
How many centimeters are there in 1/10 of a meter?
10
Convert 697117.5 millilitres to litres.
697.1175
How many litres are there in 0.4286222 millilitres?
0.0004286222
Convert 590030.8 tonnes to grams.
590030800000
Convert 2768.747ug to kilograms.
0.000002768747
How many milliseconds are there in fourty-five eighths of a second?
5625
What is 5346.816 millennia in centuries?
53468.16
Convert 8.785244 microseconds to nanoseconds.
8785.244
How many tonnes are there in 844.3667ug?
0.0000000008443667
How many millimeters are there in three fifths of a centimeter?
6
What is 506.9809 years in centuries?
5.069809
What is 87529.4km in centimeters?
8752940000
How many micrograms are there in 3/32 of a gram?
93750
Convert 55114.3l to millilitres.
55114300
What is seventeen halves of a meter in centimeters?
850
How many millilitres are there in 3/50 of a litre?
60
What is twenty-one quarters of a litre in millilitres?
5250
What is seventy-three quarters of a century in months?
21900
Convert 45758.034ns to hours.
0.000000012710565
What is 13/5 of a millimeter in micrometers?
2600
How many litres are there in 9666.488ml?
9.666488
How many milliseconds are there in 3/10 of a second?
300
What is 24260.142 months in millennia?
2.0216785
What is 642220.8 litres in millilitres?
642220800
Convert 0.327077 years to millennia.
0.000327077
What is 259658.3 kilograms in micrograms?
259658300000000
How many millilitres are there in 88.77767l?
88777.67
How many kilograms are there in 80.95828 milligrams?
0.00008095828
How many nanometers are there in 9877.215cm?
98772150000
How many millimeters are there in thirty-two fifths of a centimeter?
64
How many months are there in 1/10 of a millennium?
1200
How many micrograms are there in 1/4 of a milligram?
250
How many litres are there in 67538.46ml?
67.53846
What is fifteen quarters of a litre in millilitres?
3750
How many micrometers are there in 42/5 of a millimeter?
8400
Convert 2322.819cm to nanometers.
23228190000
What is 7/2 of a microsecond in nanoseconds?
3500
How many nanoseconds are there in 1/4 of a microsecond?
250
How many decades are there in thirty-one fifths of a century?
62
What is seventeen quarters of a litre in millilitres?
4250
What is 276133.83 hours in weeks?
1643.65375
How many months are there in 1/10 of a decade?
12
What is 423465.4mg in kilo | {
"pile_set_name": "DM Mathematics"
} |
9))/(2/(-6))?
5
Suppose 0 = -4*v + 3 + 133. Let x = -17 + v. List the prime factors of x.
17
List the prime factors of ((-15)/12)/((-1)/16).
2, 5
Let t = -10 - -10. Suppose 2*c - 5*h - 73 = -t*h, -2*h = 2. Let j = c - 23. List the prime factors of j.
11
Let d(g) = -2*g**3 - g**2 + g - 1. Let u be d(-2). Suppose 6*k - 3*k = u. What are the prime factors of k?
3
Let r(i) = 49*i**2 + i + 2. What are the prime factors of r(-1)?
2, 5
Suppose -6 = o - 4. Let k be (-126)/(-45) - o/10. Suppose 2*d - k*w = d - 5, -2*w + 43 = 5*d. List the prime factors of d.
7
Let l(i) = -i**3 - 20*i**2 - 21*i + 14. What are the prime factors of l(-19)?
2, 13
Let j(g) = -2*g - 10. Suppose -2*s = 2*x + 16, 5*s = -x + s - 2. List the prime factors of j(x).
2, 5
Let q be 20/8*(-2 - 0). Let f(o) = o**2 + 3*o - 5. Let x be f(q). Suppose x*u = -0*u + 30. List the prime factors of u.
2, 3
List the prime factors of ((-30)/(-25))/((-2)/(-100)).
2, 3, 5
Let p = 22 - 36. Let n be (-1)/(-4) - p/8. Suppose -n*z = -0*z - 28. List the prime factors of z.
2, 7
Let f(x) = x**2 - 7*x + 8. Let r be f(6). Let b be (r - 1) + -2 + 9. Suppose -b = -2*d - 3*v + 6*v, 39 = 5*d + 2*v. What are the prime factors of d?
7
Let u(v) = v**3 - 9*v**2 - 8*v - 2. What are the prime factors of u(10)?
2, 3
Suppose -7*m + 3*m + 196 = 0. What are the prime factors of m?
7
What are the prime factors of 25/4 - 7/28?
2, 3
Let d(w) = w**3 - 19*w**2 + 18*w - 22. Let i be d(18). Let q = 21 - i. List the prime factors of q.
43
Suppose 0 = -7*b + b. Suppose b = -4*q - 3*p + 50, q - 5*q = -4*p - 36. List the prime factors of q.
11
Suppose 28 = 4*s - 4*f, -5*s + f = -2*s - 13. Let y be -22*(-1 + -2)/s. Let n = y + -7. List the prime factors of n.
3, 5
Let c be 6 + (-5)/((-10)/(-6)). Suppose j = 2*l - 12, -j - c*l + 14 = 1. Let s(a) = -11*a - 3. What are the prime factors of s(j)?
19
Let a(h) = h - 3. Let j be a(6). Let d = j - -10. List the prime factors of d.
13
Let d be (32/10)/((-4)/(-20)). Suppose 2*h - 6*h = -d. Suppose 30 = 4*w - h*m + m, -2*w = 5*m - 28. What are the prime factors of w?
3
Suppose 3*z - 8 = -z. Let h be (z - 3)/(2 + -1). Let o(n) = -4*n**3 - 2*n**2 - n. List the prime factors of o(h).
3
Suppose -2*m + 3*m = 2. Suppose m = x - 3. What are the prime factors of x?
5
Let l(o) = o**3 - 7*o**2 + 6*o - 3. Let w be l(6). Let c = w - -55. What are the prime factors of c?
2, 13
List the prime factors of (-36)/(-45)*1*65.
2, 13
Let d(x) = -8*x. Let z be d(1). Let r = -12 - z. Let o = r - -11. List the prime factors of o.
7
Suppose 1 + 11 = -2*w. Let t(u) be the second derivative of -u**3/6 - 3*u**2/2 - u. List the prime factors of t(w).
3
Let y(x) = 10*x - 13. Let n(q) = 3*q - 4. Let f(i) = 21*n(i) - 6*y(i). Let c(l) = l - 4. Let b be c(8). List the prime factors of f(b).
2, 3
Let x(w) = w**2 + w - 3. Suppose -4*q + 20 = -5*s, -3*s = -2*q + 12 - 2. List the prime factors of x(q).
3
Let o(f) = -8*f - 5. List the prime factors of o(-12).
7, 13
Suppose -5*l - 2 = -12. Let v be -1*(-1)/(l/22). Suppose 11 = 2*q - v. What are the prime factors of q?
11
Let z(x) = x**2 - 7*x + 5. List the prime factors of z(-6).
83
Suppose v - 5*x - 48 = -2*v, -33 = -v - 4*x. What are the prime factors of v?
3, 7
List the prime factors of -3 + (3 + (-6 - -1) - -7).
2
What are the prime factors of (-2)/6 - 352/(-12)?
29
Let n = -120 + 236. List the prime factors of n.
2, 29
Let z = -1 + 0. Let r = z + 1. Suppose r = 3*i - 4*i + 3. List the prime factors of i.
3
Let o be ((-8)/(-6))/(6/9). List the prime factors of (-84)/(-3) + 1 + o.
31
Let a(g) = g + 1. Let j(x) = x**3 + 4*x**2 - x - 2. Let c(w) = -5*a(w) - j(w). List the prime factors of c(-4).
13
Let c(v) = 4*v - 3. Let j(q) = q. Let r be j(2). Let p be c(r). Suppose -4*g = 5*t - 30 - 15, -4*g = -p*t + 85. What are the prime factors of t?
13
Let h be (2 + (-1 - 1))*-1. Let i(m) = -m**2 + 4. What are the prime factors of i(h)?
2
Let z = -14 - -19. List the prime factors of z.
5
Let m(l) = -2*l + 3*l**2 + 1 + 4*l + 0*l. Let a be m(-2). Let k = a + -1. List the prime factors of k.
2
Suppose 0 = t - 2, -4*w - 5*t + 40 = w. Suppose -3*v + 6 = -w. Suppose v*s - 2*j - 32 = -0*j, -4*s + 48 = 2*j. What are the prime factors of s?
2, 5
Let c = 12 + -4. Let x = c + -6. List the prime factors of x.
2
Let y = -11 - -14. Suppose -2*i + 0 = 2*w + 4, -4*w + 5*i = -10. Suppose y*m + 0 - 9 = w. List the prime factors of m.
3
Suppose -6*z - 24 = -78. Suppose -z*y + 11*y = 44. List the prime factors of y.
2, 11
Let v = 3 + -3. Let s(d) = 7*d + v*d - 1 - d**3 - 8*d - 2*d**2. List the prime factors of s(-3).
11
Let i(h) = -h**2 + 10*h + 3. Let p be i(10). Let k(u) = u**3 + 4*u**2 - 4*u + 3. What are the prime factors of k(p)?
2, 3
List the prime factors of 20/(3 + 26/(-10)).
2, 5
Let n = 10 + -8. Let s(m) = 3*m**2 - m - 1. Let x be s(-1). Suppose -x = z - n*z. List the prime factors of z.
3
List the prime factors of (-214)/(-4)*(2 + 0).
107
Let f(d) = d**3 + 10*d**2 + 6*d + 11. What are the prime factors of f(-9)?
2, 19
Let k(r) = r**3 + 5*r**2 + 2*r - 5. Let y be (-1)/3 + (-77)/21. List the prime factors of k(y).
3
Let d = 20 + -13. List the prime factors of d.
7
Suppose 8*r - 50 = 3*r. Let w(m) = m**3 - 11*m**2 + 8*m + 5. Let v be w(r). Let d = v + 29. List the prime factors of d.
2, 7
Let z = 13 + -4. Let u = z - -1. What are the prime factors of u?
2, 5
Let t(g) = g**3 + 3*g**2 - 4*g + 3. Suppose -r = -3*q - 7, -5*q + r = -2*r + 5. What are the prime factors of t(q)?
3
Let z = -82 + 122. What are the prime factors of z?
2, 5
Let b(k) = -k**3 + 8*k**2 - 6*k. What are the prime factors of b(4)?
2, 5
Let f = -381 - -664. What are the prime factors of f?
283
What are the prime factors of ((-32)/24)/(453/(-225) - -2)?
2, 5
Let g be ((-188)/12)/((-1)/(-6)). Let x = -53 - g. List the prime factors of x.
41
Suppose -z + a = 0, z = -3*a + 21 - 1. Suppose 4*x - 3 = 5*k + 2, 4*k = -z*x + 37. What are the prime factors of k?
3
Let z = -17 - -23. List the prime factors of z.
2, 3
Let q be 2 + 4/(-12)*0. Suppose 0 = 4*k + 4*o - 8, 3 = q*k + o - 2. What are the prime factors of k?
3
Let n(c) = -c**3 + 3*c**2 + 2. Let w = 0 - -3. Let d be n(w). Suppose 5*x + 0*x = -d*r + 48, -3*x + 26 = r. What are the prime factors of r?
2, 7
Suppose -n + 5*n + p - 29 = 0, -n - 14 = -4*p. List the prime factors of n.
2, 3
Suppose 3*l - 10 = 14. What are the prime factors of l?
2
Let f be 7 + -1 + -2 + 0. Let c(y) = 6*y**2 - 5*y + 5 - 2*y**3 + y**3 + 0. What are the prime factors of c(f)?
17
Let j = -18 - -28. Let s(m) = m**3 - 3*m**2 + 2*m. Let v be s(2). List the prime factors of j - (v - (2 + -2)).
2, 5
Let c be (-1 + (-3 - -3))*-3. Suppose c*w = 2*j + 2*j - 16, 16 = 4*j + 4*w. List the prime factors of j.
2
Let s(w) = -w**2 - 5*w + 8. Let n be s(-6). Suppose -2*h + 2 + 0 = -2*v, 4*v + n = 3*h. What are the prime factors of v/4 - (-117)/12?
2, 5
Suppose 2*z = 56 + 16. What are the prime factors of z?
2, 3
Let v be (-4)/4 - (1 - 23). Suppose 3*f = -x + 20, -5*x - f = -93 + v. List the prime factors of x.
2, 7
Suppose 4*v = v + 24. What are the prime factors of (-266)/(-18) - v/(-36)?
3, 5
Let k = -11 - -22. Suppose -4*z + 9 = -k. What are the prime factors of ((-15)/2)/z*-4?
2, 3
Suppose -3*q + 118 = -q. List the prime factors of q.
59
Suppose -v = -3*w + 1 + 1, -w - 5*v + 22 = 0. Suppose -w*n + 5*h + 25 = n, 0 = n - 3*h - 7. List the prime factors of n.
2, 5
Let r = 26 + 33. What are the prime factors of r?
59
Let l = -91 + 56. Let r be (l/(-28))/(2/8). List the prime factors of 3/(r/(-6) - -1).
2, 3
Suppose 2*u + 501 = 5*u. Suppose -3*y + u = 62. Let z = -25 + y. List the prime factors of z.
2, 5
Let u be (-8 + 10)*(-3)/(-2). Let m be -5*3/(-3) - u. Suppose -m*p - 8 = -24. What are the prime factors of p?
2
Suppose -z + 14 = -3. Suppose 3*v - z = 2*v. What are the prime factors of v?
17
Let x(v) = v**3 - 5*v**2 - 14. Suppose 5*p - 42 = 3*r - 7*r, 15 = 5*r. List the prime factors of x(p).
2, 11
Let h = 1 - -5. Let b be 90/25 - (-3)/(-5). Suppose b*k - h*k + 33 = 0. List the prime factors of k.
11
Suppose -14 = -4*x - 2*f, -x + f + 8 = -3*f. Suppose r - 10 = x. List the prime factors of r.
2, 7
Let f be 21/(-14)*16/(-6). Suppose -3*w + f*w - 27 = 0. What are the prime factors of w?
3
Let l be (14 - 0)/(10 + -8). Suppose | {
"pile_set_name": "DM Mathematics"
} |
Let z = 0.18 - 0.48. What is the nearest to -0.1 in z, 1/6, -4?
z
Let w be 0/(-1*(-1 - 1)). Let p = -2.5 - -2.6. Which is the nearest to p? (a) 5 (b) w (c) 0.3
b
Let v = -5 + 2. Let g = 1758/11 - 160. Let s(h) = 7*h - 16. Let r be s(2). Which is the nearest to 0? (a) g (b) r (c) v
a
Let h = 8.5 - 14. Let s = h + 5. What is the closest to -1 in s, -2/5, -1?
-1
Let i be ((-2)/2)/((-1)/(-2)) + 1. Which is the nearest to 1/2? (a) i (b) 1/4 (c) 0.2
b
Let q = 1 - 4. Let w be -3 - (0 + 4)/(-2). Which is the nearest to 2? (a) -0.1 (b) w (c) q
a
Let h = 99.4 - 99. What is the nearest to -2/7 in 1/5, h, 13?
1/5
Let r(m) = m - 2. Let i be r(3). Let w be (i*-6)/(3/(-2)). Let x be (10/12)/(w/(-6)). What is the closest to -1 in -2/13, 3, x?
x
Let v = -1.8 - -2. Let o = -8 - -18. Let b = o - 8. What is the nearest to b in v, -3/4, -5?
v
Let g = -3 + 4. Let f = g - 1.4. Let m = 798 + -799. What is the closest to -7 in f, 3, m?
m
Let z be 1/(-4)*(-20)/(-25). Let p = -0.1 - -0.1. Let g be 1/36 + (-2)/8. What is the nearest to p in z, 5, g?
z
Let c = -19/10 + 3/2. What is the nearest to 0.2 in 0.4, -1/6, c?
0.4
Let c(l) = -l**3 - 5*l**2 - l - 6. Let u be -4*(-2 - 39/(-12)). Let i be c(u). What is the nearest to -0.1 in i, -3, -2?
i
Let y = 0.6 + 0.4. Let b = 0.3 - 0.5. What is the closest to 0.2 in 3, b, y?
b
Let z be (5 + -3)/(-2 - 0). What is the nearest to 2/5 in 2/3, z, 5?
2/3
Let o be 1 - 2*(-1)/(-4). Let z = -0.3 + 0.5. Let x = 43 - 42. Which is the nearest to 2/5? (a) x (b) o (c) z
b
Let i = 0.1 - -2.1. Let d = -0.2 + i. Which is the closest to 0.1? (a) d (b) 0 (c) -0.4
b
Let z be 0 - 0 - (-6)/(-18). What is the nearest to 0.4 in z, -0.1, 3?
-0.1
Let r = -0.3 - -3.3. Which is the nearest to -0.1? (a) -1 (b) r (c) 3/7
c
Let i(z) = -z**2 + 6*z - 3. Let n be i(4). Let r = -0.7 - -1. Which is the nearest to r? (a) n (b) 1 (c) 0
c
Let r be ((-16)/(-28))/(3/(-7)). Let a = 7095/7 - 1011. Let p = a - 212/77. What is the closest to 1 in p, r, -0.4?
p
Let v = -3/23 + -103/92. Let m = 6 - 10. Which is the closest to 2/7? (a) 0.3 (b) v (c) m
a
Let t = -20 - -20.1. What is the nearest to t in -1, 2, 1/2?
1/2
Let v = -10 + 9.94. Let g = -0.06 - v. Which is the closest to -2/9? (a) -1/5 (b) g (c) 0.3
a
Let u = 0.2 - 0.2. Let i be 1/(-2)*20/50. Which is the closest to 0? (a) u (b) -0.1 (c) i
a
Let x = 0.76 - 0.76. Let i = -50 - -499/10. What is the closest to x in -2/13, 2, i?
i
Let g = -1.6 + 6.6. Let h = 5.3 - g. Let x be 1/11*20 - 2. Which is the nearest to 2? (a) h (b) 2 (c) x
b
Let h be (3/9)/(5/(-6)). Let t = -11 - -6. Let f = t - -4. Which is the nearest to 1? (a) h (b) f (c) 0.5
c
Let r(j) = 4*j + 1. Let b be r(-1). Let l be ((-2)/(-28))/(b/18). Let c = -0.8 - -3.8. What is the closest to 0 in c, l, 1?
l
Let d = 3.04 - 0.04. Suppose 40 = -2*s + 5*g - 2*g, -12 = 2*s + 4*g. Let i be (-16)/s*(-1)/(-4). Which is the nearest to 0? (a) d (b) i (c) 0.05
c
Let k = -0.08 + -2.92. Let j = k + 3. What is the nearest to j in 0.1, 1, 3?
0.1
Let o = -7 - -8. What is the nearest to -0.1 in -0.5, o, 27?
-0.5
Let m = 6.03 - 6. Let u = 0.43 - m. Let d = u - 0.6. Which is the closest to -1? (a) -0.3 (b) 5 (c) d
a
Let g(s) = 2*s**2 - 8*s - 1. Let q be g(4). Which is the closest to -4? (a) q (b) 0 (c) -2/3
a
Let s = 33 + -29. Which is the closest to 1? (a) s (b) -3 (c) 1/2
c
Suppose -3*h - 30 = 3*m, h - 4*h + 15 = 0. Let g be (m/100)/(1/4). Which is the closest to -1? (a) g (b) -5 (c) -4
a
Let v be (24/40)/(1/15). Let z be 0 - 2/v*3. What is the closest to -6 in 3/4, z, 4?
z
Let h = 224 - 224.2. Let j = 4 - -1. Which is the nearest to -2? (a) j (b) 2/3 (c) h
c
Let x = 36.1 + -36. Suppose 3*v = -9, j - 4*v - 6 = -2*v. What is the closest to x in -4, -3/7, j?
j
Let x = 16.03 + -16. Let s = 3.03 - x. What is the closest to s in -3/7, 1, 2/7?
1
Suppose -5*g + 9 = 14. What is the nearest to 0.2 in g, 5, 3/5?
3/5
Let t = 2.3 + -2.1. What is the closest to t in -0.2, 0.3, 1?
0.3
Let p = -9 - -3. What is the closest to -1 in p, 0.1, -2/19?
-2/19
Let g = 138 + -138.13. What is the nearest to -0.1 in 0.5, 1/5, g?
g
Let c = -4 - -3. What is the closest to c in -1/4, -1, 0?
-1
Let k = -0.01 - -0.01. What is the nearest to -1/4 in k, -5, -1?
k
Let g be (-51)/90 + 4/10. Which is the nearest to 0.1? (a) -0.1 (b) 2 (c) g
a
Let p = 0.21 - 0.31. What is the nearest to p in -2/3, -1/6, -0.4?
-1/6
Let v = 0.06 - -4.94. Let c be 1/2 + 105/(-258). Let j = c + -137/86. What is the closest to -0.1 in j, v, -2/5?
-2/5
Let p be (-18)/(-24)*4 + 26/(-8). What is the closest to -2 in p, 2, 17?
p
Let u(d) = 53*d**2 + 3*d - 1. Let o be u(3). Suppose 5*f + 5*y = -o, -4*f + 3*y - 364 = y. Let t = f + 463/5. What is the nearest to 0.2 in -0.2, 3, t?
-0.2
Let q(k) = -4*k - 8. Let n be q(-7). Let g be (12/n)/(1/(-5)). Let w = 3.5 + -3. Which is the nearest to 0? (a) w (b) g (c) 3/4
a
Let v = 2 - 3. Let x = -2 - v. What is the closest to x in 0.1, 2/11, 5?
0.1
Let w = -0.29 - -0.29. What is the closest to 0.2 in 0.5, w, 3?
w
Let y be 15/(-6)*5/25. Which is the closest to 2? (a) y (b) 4 (c) -4/7
b
Let n be -7 - (-14)/3 - 3*-1. What is the closest to -0.1 in -1/8, n, 2?
-1/8
Let n = 1 + -1. Let p = -0.18 - 0.02. What is the nearest to 1/2 in 0.5, p, n?
0.5
Let j = -2.7 + -11.3. Let h = -16 - j. What is the closest to 1 in -3/4, h, 0?
0
Let q be (-22)/(-30) - 2/5. Let k = 0.697 - 0.997. What is the closest to 0.2 in -0.5, k, q?
q
Let v = -182 + 180. Let f = -47 + 97/2. Which is the closest to v? (a) 3 (b) 4/7 (c) f
b
Let u = -0.2 - -1.2. Let a = -3.4 + 3. Let v = -0.1 - a. What is the nearest to -1 in u, -4, v?
v
Let p = 0 - 0. Let h be (-5)/(72 + 3) - 2/(-5). Which is the nearest to h? (a) 2/17 (b) p (c) 4
a
Let s = 6.3 - 6. Which is the closest to 1? (a) 0.2 (b) s (c) 0
b
Let b = 0.34 + -0.04. Let o = b + -1.3. Let q = 17 - 49/3. What is the nearest to o in 1, q, 1/11?
1/11
Let u be 10/(-20)*2/1. Which is the nearest to -1/3? (a) 0.3 (b) u (c) -2/3
c
Let x be 148/170 - (-2)/(-5). Let n be 0/2 - 90/(-119). Let d = x - n. Which is the nearest to d? (a) 4 (b) 0.1 (c) 3
b
Let g(w) = -56*w - 3. Let t be g(7). Let o = t - -5927/15. Which is the closest to 0.1? (a) 0.2 (b) -2/9 (c) o
c
Let m be 8 - (-2629)/(-308) - (-2)/7. Which is the nearest to 0.05? (a) m (b) -2 (c) 2/15
c
Let j = 18 + -25. Let n(v) be the first derivative of v**2/2 + 9*v - 1. Let x be n(j). Which is the nearest to x? (a) -1 (b) -5 (c) -4
a
Let i be 0 + 12/(-3) + 5. What is the nearest to i in 0.4, 0.3, 4?
0.4
Suppose 3*v = 6*v - 3. Let q = -40.5 + 41. What is the closest to v in -1, q, 4?
q
Let z = -7 - -3. Let o = -3.99 + -0.01. Let v = o - -3. Which is the nearest to 1? (a) z (b) -3 (c) v
c
Let p = -123 + 368/3. Which is the closest to 3? (a) p (b) 5 (c) 3
c
Let o = -0.036 + 5.036. Which is the nearest to 2? (a) o (b) -3 (c) -0.5
c
Let j = -0.43 - -0.44. Which is the nearest to -0.1? (a) j (b) -5 (c) -2
a
Let h(v) = v**3 - 6*v**2 - 8. Let o be h(6). Let a = -4 - o. Let n = 1397 - 1396. What is the nearest to n in a, 0.3, 1?
1
Let f = -1.4 - -0.8. Let x = -0.5 - f. What is the nearest to x in 4, 0.4, 3?
0.4
Let n = -6283/2 + 3210. Let m = 67 - n. Let d = 3.9 - 4. Which is the closest to d? (a) -1 (b) m (c) -0.5
c
Let u = 3 + -2. Let j = 5.7 + -7. Let t = u + j. What is the closest to 0.1 in 3/4, t, -1/8?
-1/8
Suppose 5*u - 1 = 9. Suppose 7*v - f = u*v + 25, -4*f = 0. Let o = 0 - 1. Which is the nearest to o? (a) 0.4 (b) v (c) -2/3
c
Let n = -0.052 - -0.352. What is the nearest to 1 in 5, 0.5, n?
0.5
Let h(v) = 4*v**2 + 2*v + 1. Let i be h(-1). What is the closest to 0.6 in i, 1, 0.1?
1
Let i(j) = j - 5. Let z be i(5). Suppose z*d = -o + 5*d - 16, -3*o = -5*d + 18. Which is the nearest to o? (a) -1 (b) -5 (c) -1/5
a
Let r = 0.03 - -3.97. Suppose 6*y = y + 25. Which is the closest to -2? (a) 0.4 (b) r (c) y
a
Let t = 82 - 81. What is the closest to t in 5, 2/7, 0.4?
0.4
Let a = -59 - -59.4. What is the closest to -1/4 in a, 0, 7?
0
Let w = 27 + -27.08. Which is the nearest to 1? (a) w (b) -3/5 (c) -0.3
a
Let m = 0.05 + -3.05. Let g = m + 2.9. Which is the nearest to g? (a) -4 (b) -0.3 (c) -1
b
Let h = 3.978 - -0.022. What is the neare | {
"pile_set_name": "DM Mathematics"
} |
M and 7:52 PM?
300
What is 670 minutes before 12:20 PM?
1:10 AM
What is 254 minutes after 8:49 PM?
1:03 AM
What is 625 minutes before 4:56 PM?
6:31 AM
What is 458 minutes after 2:14 AM?
9:52 AM
How many minutes are there between 6:19 AM and 4:36 PM?
617
What is 366 minutes after 6:23 PM?
12:29 AM
How many minutes are there between 9:23 PM and 3:49 AM?
386
What is 101 minutes before 11:32 AM?
9:51 AM
What is 520 minutes after 6:39 PM?
3:19 AM
What is 27 minutes after 3:37 PM?
4:04 PM
How many minutes are there between 10:44 PM and 7:56 AM?
552
What is 237 minutes before 3:40 AM?
11:43 PM
What is 496 minutes before 3:05 PM?
6:49 AM
How many minutes are there between 5:06 PM and 6:06 PM?
60
How many minutes are there between 5:37 AM and 1:59 PM?
502
What is 507 minutes after 3:54 PM?
12:21 AM
What is 617 minutes after 11:32 AM?
9:49 PM
How many minutes are there between 6:37 AM and 3:29 PM?
532
How many minutes are there between 6:08 AM and 7:39 AM?
91
How many minutes are there between 11:52 PM and 2:17 AM?
145
How many minutes are there between 4:25 AM and 12:15 PM?
470
What is 313 minutes after 2:45 AM?
7:58 AM
How many minutes are there between 6:57 AM and 12:00 PM?
303
What is 303 minutes before 9:18 AM?
4:15 AM
How many minutes are there between 6:41 PM and 8:58 PM?
137
How many minutes are there between 5:41 AM and 11:48 AM?
367
How many minutes are there between 2:29 PM and 6:44 PM?
255
What is 355 minutes before 2:29 PM?
8:34 AM
How many minutes are there between 9:53 PM and 6:21 AM?
508
What is 132 minutes before 4:16 AM?
2:04 AM
How many minutes are there between 3:01 AM and 9:35 AM?
394
How many minutes are there between 3:18 AM and 4:29 AM?
71
How many minutes are there between 1:22 PM and 3:57 PM?
155
How many minutes are there between 11:13 PM and 5:54 AM?
401
How many minutes are there between 4:08 PM and 2:13 AM?
605
What is 439 minutes before 8:21 AM?
1:02 AM
What is 52 minutes after 2:51 PM?
3:43 PM
What is 90 minutes before 11:50 AM?
10:20 AM
How many minutes are there between 12:35 PM and 3:41 PM?
186
How many minutes are there between 4:00 AM and 12:13 PM?
493
How many minutes are there between 10:17 AM and 8:24 PM?
607
What is 682 minutes after 1:58 AM?
1:20 PM
What is 631 minutes after 9:36 AM?
8:07 PM
How many minutes are there between 10:45 AM and 4:59 PM?
374
What is 675 minutes after 10:46 AM?
10:01 PM
How many minutes are there between 8:20 PM and 11:12 PM?
172
What is 459 minutes after 9:56 AM?
5:35 PM
What is 209 minutes before 4:44 PM?
1:15 PM
How many minutes are there between 12:45 AM and 7:19 AM?
394
What is 305 minutes after 10:46 AM?
3:51 PM
What is 235 minutes after 2:46 AM?
6:41 AM
What is 714 minutes after 6:56 AM?
6:50 PM
How many minutes are there between 10:49 PM and 6:54 AM?
485
What is 202 minutes after 6:59 AM?
10:21 AM
What is 139 minutes after 10:59 AM?
1:18 PM
How many minutes are there between 6:25 AM and 10:59 AM?
274
How many minutes are there between 2:29 PM and 10:11 PM?
462
What is 466 minutes after 8:18 AM?
4:04 PM
What is 628 minutes before 2:27 PM?
3:59 AM
What is 641 minutes before 4:10 AM?
5:29 PM
How many minutes are there between 3:11 PM and 10:19 PM?
428
What is 35 minutes after 10:28 PM?
11:03 PM
What is 44 minutes after 12:57 PM?
1:41 PM
What is 197 minutes before 10:03 AM?
6:46 AM
How many minutes are there between 9:01 AM and 7:58 PM?
657
How many minutes are there between 4:49 PM and 9:42 PM?
293
How many minutes are there between 5:22 PM and 10:15 PM?
293
What is 572 minutes after 3:46 AM?
1:18 PM
How many minutes are there between 2:29 AM and 2:01 PM?
692
What is 302 minutes before 5:48 PM?
12:46 PM
How many minutes are there between 7:45 PM and 5:09 AM?
564
How many minutes are there between 11:24 AM and 5:31 PM?
367
How many minutes are there between 4:05 PM and 11:24 PM?
439
What is 327 minutes after 10:45 PM?
4:12 AM
What is 236 minutes after 9:33 PM?
1:29 AM
How many minutes are there between 6:04 PM and 12:18 AM?
374
How many minutes are there between 1:41 PM and 9:51 PM?
490
How many minutes are there between 12:11 PM and 6:17 PM?
366
What is 556 minutes before 4:16 AM?
7:00 PM
What is 470 minutes before 8:03 PM?
12:13 PM
How many minutes are there between 9:38 PM and 8:30 AM?
652
What is 627 minutes before 4:49 PM?
6:22 AM
What is 160 minutes before 3:17 PM?
12:37 PM
How many minutes are there between 4:07 AM and 1:26 PM?
559
How many minutes are there between 9:24 PM and 1:01 AM?
217
How many minutes are there between 12:30 PM and 11:48 PM?
678
What is 327 minutes before 7:11 AM?
1:44 AM
How many minutes are there between 10:52 PM and 7:40 AM?
528
How many minutes are there between 11:40 PM and 10:21 AM?
641
What is 517 minutes before 1:39 PM?
5:02 AM
What is 641 minutes before 8:14 PM?
9:33 AM
How many minutes are there between 3:14 AM and 1:48 PM?
634
What is 67 minutes after 4:46 AM?
5:53 AM
What is 630 minutes before 9:54 AM?
11:24 PM
What is 27 minutes after 5:13 PM?
5:40 PM
What is 490 minutes after 9:23 AM?
5:33 PM
What is 158 minutes after 1:33 PM?
4:11 PM
How many minutes are there between 6:06 AM and 7:38 AM?
92
What is 165 minutes after 9:06 PM?
11:51 PM
How many minutes are there between 1:39 PM and 7:23 PM?
344
What is 217 minutes after 8:22 AM?
11:59 AM
How many minutes are there between 3:24 AM and 8:44 AM?
320
What is 657 minutes before 12:30 AM?
1:33 PM
What is 167 minutes after 11:29 AM?
2:16 PM
How many minutes are there between 7:51 AM and 2:31 PM?
400
What is 325 minutes before 6:13 AM?
12:48 AM
What is 505 minutes after 10:44 PM?
7:09 AM
How many minutes are there between 12:16 AM and 8:03 AM?
467
How many minutes are there between 3:06 PM and 2:28 AM?
682
What is 578 minutes after 12:01 PM?
9:39 PM
How many minutes are there between 3:33 AM and 1:17 PM?
584
How many minutes are there between 8:02 PM and 8:46 PM?
44
How many minutes are there between 11:44 PM and 8:29 AM?
525
What is 387 minutes before 4:45 PM?
10:18 AM
What is 657 minutes after 3:45 PM?
2:42 AM
How many minutes are there between 3:17 PM and 8:58 PM?
341
What is 586 minutes before 7:43 PM?
9:57 AM
How many minutes are there between 6:29 PM and 9:58 PM?
209
How many minutes are there between 4:04 AM and 9:08 AM?
304
What is 444 minutes after 2:17 PM?
9:41 PM
How many minutes are there between 7:32 PM and 4:17 AM?
525
How many minutes are there between 7:09 AM and 4:27 PM?
558
What is 628 minutes after 6:23 PM?
4:51 AM
What is 670 minutes after 5:11 AM?
4:21 PM
How many minutes are there between 4:37 PM and 7:33 PM?
176
What is 466 minutes before 7:27 PM?
11:41 AM
How many minutes are there between 12:37 PM and 4:40 PM?
243
What is 448 minutes before 10:03 AM?
2:35 AM
How many minutes are there between 2:28 AM and 2:55 AM?
27
What is 610 minutes after 6:48 AM?
4:58 PM
What is 243 minutes before 12:49 PM?
8:46 AM
How many minutes are there between 9:54 PM and 5:47 AM?
473
How many minutes are there between 12:05 AM and 10:33 AM?
628
How many minutes are there between 9:23 AM and 2:28 PM?
305
How many minutes are there between 11:17 AM and 11:27 AM?
10
How many minutes are there between 4:23 AM and 6:35 AM?
132
What is 514 minutes before 1:29 AM?
4:55 PM
What is 48 minutes before 11:48 PM?
11:00 PM
How many minutes are there between 8:04 AM and 4:12 PM?
488
How many minutes are there between 11:49 PM and 2:14 AM?
145
What is 468 minutes after 1:47 PM?
9:35 PM
How many minutes are there between 6:54 PM and 2:41 AM?
467
What is 176 minutes before 4:01 AM?
1:05 AM
How many minutes are there between 9:07 PM and 8:53 AM?
706
How many minutes are there between 3:45 AM and 7:54 AM?
249
How many minutes are there between 11:53 PM and 3:36 AM?
223
What is 532 minutes before 4:30 AM?
7:38 PM
How many minutes are there between 8:00 AM and 12:58 PM?
298
How many minutes are there between 11:05 AM and 4:26 PM?
321
What is 97 minutes after 2:21 PM?
3:58 PM
What is 185 minutes after 5:31 AM?
8:36 AM
How many minutes are there between 3:26 AM and 11:02 AM?
456
What is 293 minutes after 8:35 AM?
1:28 PM
How many minutes are there between 10:33 AM and 1:09 PM?
156
How many minutes are there between 6:53 PM and 7:28 PM?
35
What is 195 minutes after 1:26 AM?
4:41 AM
How many minutes are there betwee | {
"pile_set_name": "DM Mathematics"
} |
) be the first derivative of o**3 + 0*o**2 + 30 + 2*o + 0*o**4 + 6/5*o**5. What is the derivative of q(z) wrt z?
24*z**3 + 6*z
Find the third derivative of -274*h**2 + 593*h**6 - 377*h**2 + 653*h**2 + 1026*h wrt h.
71160*h**3
Let c(w) be the second derivative of 0*w**3 + 1/7*w**7 + 0*w**6 - 15/4*w**4 + 7/20*w**5 - 1 + 4*w + 0*w**2. What is the third derivative of c(m) wrt m?
360*m**2 + 42
Suppose -38*j + 42 = -262. Find the third derivative of -4*i**2 - 106*i + 38*i - 140*i**6 + j*i**6 + 4*i**2 - i**2 wrt i.
-15840*i**3
Let f(j) be the first derivative of -446*j**6 + 304*j**3/3 + 2*j**2 - j - 13479. What is the third derivative of f(s) wrt s?
-160560*s**2
Find the third derivative of 2 + 1478*a**2 + 826642*a + 4362*a**3 - 826642*a - a**4 + 594*a**2 + 2579*a**2 wrt a.
-24*a + 26172
Suppose -20*b = -4*m - 22*b + 22, -7 = m + 3*b. Find the second derivative of -5*q**4 - m*q**4 - 218*q - 9*q**4 + 21*q**4 - 5*q**3 - 2 - 2*q**3 wrt q.
-12*q**2 - 42*q
Let k(j) be the third derivative of j**7/105 + 49*j**6/40 - 391*j**3/6 - 1638*j**2. What is the derivative of k(c) wrt c?
8*c**3 + 441*c**2
Let n(p) be the second derivative of p**4/2 - 5*p**3/2 - 25*p**2 - 160*p + 1. Find the first derivative of n(j) wrt j.
12*j - 15
Let b(c) = 2. Let y(h) = -401*h**3 - 2*h**2 - 5950*h + 6. Let r(i) = -3*b(i) + y(i). What is the second derivative of r(n) wrt n?
-2406*n - 4
Let m(l) = 100*l**2 - 2 - 4*l + 10 + 12*l. Let y(f) = 99*f**2 + 7*f + 6. Let s(c) = -4*m(c) + 5*y(c). What is the second derivative of s(o) wrt o?
190
Let h(g) be the third derivative of -1/12*g**4 - g**3 + 3/8*g**6 + 0*g + 0 - 93*g**2 + 0*g**5. What is the second derivative of h(b) wrt b?
270*b
Find the third derivative of -235*f**2 + 660*f**5 - 363*f**5 - 29*f**5 + 1832*f**5 wrt f.
126000*f**2
Let g(p) = -204*p**3 + 17*p**2 + 4435*p - 5. Let i(f) = -305*f**3 + 24*f**2 + 6654*f - 7. Let x(k) = -7*g(k) + 5*i(k). Find the second derivative of x(v) wrt v.
-582*v + 2
Let q be (-7 + 10075/39)/((-4)/(-18)). Find the third derivative of -569*h - 557*h - 31*h**2 + 233*h**3 + q*h wrt h.
1398
Let a(b) = b**2 - 7*b - 41. Let x be a(11). What is the second derivative of z - x*z**2 + 14 + 9325*z**5 + z - 9318*z**5 wrt z?
140*z**3 - 6
Let k be 11 + 1 + (39 + -7)/(-4). Let f(w) be the first derivative of 0*w**3 - 1/5*w**5 - 4*w + 0*w**k - 10 + 0*w**2. What is the derivative of f(c) wrt c?
-4*c**3
Let s(u) = -u**2 - 42*u - 36. Let n be s(-41). Find the second derivative of 162 - 2*a + 307*a**n - 97*a**5 + 24 wrt a.
4200*a**3
Let s = -310 + 348. Find the third derivative of h**2 + 6*h**3 - 2*h**3 + 79*h**2 - 2*h**3 - s*h**5 wrt h.
-2280*h**2 + 12
Let b(x) = 2013*x**2 - 9*x + 63. Let c(t) = -3021*t**2 + 13*t - 97. Let k(m) = -8*b(m) - 5*c(m). Find the second derivative of k(f) wrt f.
-1998
Suppose -w - 3*s - 38 = -2, 20 = 4*s. Let n = w - -92. Differentiate -37 + 1095*q**2 - n*q**3 + 11 - 1095*q**2 with respect to q.
-123*q**2
Let m(v) be the second derivative of -7*v**5/20 + 37*v**3/2 - 379*v**2 + 326*v. What is the first derivative of m(k) wrt k?
-21*k**2 + 111
Let t(j) = -10326*j**2 - 130*j + 10252. Let c(k) = 5162*k**2 + 60*k - 5127. Let d(m) = -13*c(m) - 6*t(m). Differentiate d(v) wrt v.
-10300*v
What is the second derivative of -7 + 31*w - 1068*w**3 - 10 + 4*w + 631*w**3 wrt w?
-2622*w
Let q = 74 + 181. What is the third derivative of -85*w**3 + q*w**2 - 206*w**2 - 120*w**2 wrt w?
-510
Let c(z) be the second derivative of 3231*z**4/4 + z**3/3 - 983*z**2 + 6781*z. What is the second derivative of c(j) wrt j?
19386
What is the third derivative of -2 - 71934*p - 5*p**2 - 6060*p**3 + 35979*p + 35965*p wrt p?
-36360
Let b(f) be the first derivative of -127*f**7/42 + 29*f**3/2 - 90*f - 187. Let x(l) be the first derivative of b(l). Find the second derivative of x(i) wrt i.
-2540*i**3
What is the third derivative of 0*g**3 - 1276*g**5 + 162*g**2 + 147*g**2 + 0*g**3 + 54*g - 316*g**2 wrt g?
-76560*g**2
Suppose 77*y - 196 = 80 - 45. Let r(n) be the first derivative of 0*n**y + 0*n**2 - 10*n - 1/2*n**4 - 10. Find the first derivative of r(g) wrt g.
-6*g**2
Let q = 1367 + -1360. Suppose -3*a + 2*p + 0 = -21, 5*p - 21 = -3*a. Find the first derivative of a*o**3 + 0 - 3*o**3 + 12*o**3 + q wrt o.
48*o**2
Let h(p) be the third derivative of 0 + 10*p + 7*p**2 + 0*p**4 + 0*p**3 - 23/12*p**5 - 1/6*p**6. Find the third derivative of h(z) wrt z.
-120
Suppose 2*x = -8*d + 7*d + 11, 2*x - 20 = -4*d. What is the second derivative of 2 + 28*o**x + 0*o**5 + 3*o**5 - 7*o**5 + 4*o**5 - 2*o**5 + 2*o wrt o?
-40*o**3 + 336*o**2
Let w(d) be the first derivative of 2*d**5/5 + 763*d**3/3 + 1626*d - 1056. Differentiate w(p) wrt p.
8*p**3 + 1526*p
Let p(y) = 21*y - 182. Let s be p(17). Find the second derivative of -s + 175 + 6*x + 66*x + 61*x + 197*x**2 wrt x.
394
Find the first derivative of -5615 + 48*b + 76*b + 1277*b**2 + 145*b**2 - 125*b + 331*b**2 wrt b.
3506*b - 1
Suppose -4*t + 0*s - 3*s = 0, 4*s = -t. Suppose t = 4*j - 2*n - 48, 2*j - 30 = -3*j - 5*n. Differentiate 4 + j + 45*b**3 - 5 + 9 with respect to b.
135*b**2
Let t(g) be the first derivative of -311*g**2 + g + 11. Let w be t(-1). Find the second derivative of 635*v - 25*v**2 - w*v - 4 + 4 wrt v.
-50
Let m(i) = -554*i**3 + 2*i**2 - 10*i - 221. Let g(u) = u**3 + u**2 - 5*u. Let o(a) = 6*g(a) - 3*m(a). What is the first derivative of o(c) wrt c?
5004*c**2
Let g(u) = -9*u**2 - u - 138. Let f(i) = -6*i**2 - 133. Let w(m) = -6*f(m) + 5*g(m). Find the first derivative of w(v) wrt v.
-18*v - 5
Let y(k) = -4*k**3 - 2*k**2 - 6*k + 2. Let u be y(-2). Find the third derivative of -1221*h**2 - 69*h**5 + 1223*h**2 + 5 - u wrt h.
-4140*h**2
What is the third derivative of 66 + 83 - 144 + 18*a + 4*a**2 + 3*a**3 - 3*a**3 - 3251*a**5 wrt a?
-195060*a**2
Let h(m) be the first derivative of 0*m**4 + 5/6*m**6 + 1/5*m**5 + 0*m**2 + 31/3*m**3 + 0*m + 18. What is the third derivative of h(u) wrt u?
300*u**2 + 24*u
Let i(k) be the third derivative of k**6/60 - 39*k**4 + 2084*k**3/3 + 3*k**2 - 830. Find the first derivative of i(d) wrt d.
6*d**2 - 936
Suppose 3*g + 5*f - 32 = 0, -g + 12 = 3*g - f. Suppose 0*z = -2*z + g. Find the first derivative of -4*q + 3 - 2 - z wrt q.
-4
Let r = 468 - 465. What is the second derivative of 176*h**3 + 219*h - 316*h - 49*h**r wrt h?
762*h
Let w = -629 + 908. Find the second derivative of -63*l + w*l - 32*l**5 + 256*l**5 wrt l.
4480*l**3
Suppose 4*t - 48 = -5*c, 5*t - 9 = 1895*c - 1897*c. Let y(k) be the first derivative of 29/2*k**2 - c*k + 17. What is the derivative of y(o) wrt o?
29
What is the second derivative of -9*d**4 + 225*d + 191*d**5 + 2 - 25*d**3 - 1737*d + 0*d**3 + 9*d**4 wrt d?
3820*d**3 - 150*d
What is the second derivative of 3338 + 2242 - 64*o + 210*o - 70*o - 11462*o**2 - 77*o wrt o?
-22924
Let c(k) = -33*k**2 + 26*k - 22. Let r(y) = y**2 - y - 1. Let i(h) = -2*c(h) - 10*r(h). Let n(t) be the first derivative of i(t). Differentiate n(p) wrt p.
112
Suppose -2*y + 144 = 2*y - 4*r, 4*y - 135 = r. Find the first derivative of -y + 10 + 17*x**4 + 78 - x wrt x.
68*x**3 - 1
Let j = -7949 - -7953. Let s(l) be the first derivative of 0*l**j - 1 + 5*l + 0*l**2 + 0*l**3 - 21/5*l**5. Differentiate s(m) wrt m.
-84*m**3
Suppose j + 6 - 4 = 0, 8 = 2*a - j. Suppose -a*x - 1052 = -d, -5*x - 46 = 2*d - 2117. Find the third derivative of 1071*k**4 + 26*k**2 - 1 + 1 - d*k**4 wrt k.
672*k
Differentiate 2*r**3 + 3484 - 461*r + 579 + 2317 with respect to r.
6*r**2 - 461
Differentiate -89 - 3*z**3 - 21 + 315*z**2 - 48 with respect to z.
-9*z**2 + 630*z
Let g(u) be the second derivative of -1708*u**3/3 + 2587*u**2/2 - 7613*u. Differentiate g(d) with respect to d.
-3416
Let i(w) = 11*w + 139. Let c be i(21). What is the third derivative of -207*v**2 - c - 112*v**4 - 363 + 733 wrt v?
-2688*v
Let d(y) = 3*y**2 + 5*y - 1. Suppose -2*n = -a + 11, -2*n + 2*a + 9 = 5*a. Let v be d(n). What is the derivative of 11*x + 16*x**3 - v*x + 4*x**3 - 13 wrt x?
60*x**2
Suppose 0 = 2*t - 2*v - 58, 3*v = -t - v + 49. Let q(y) be the first derivative of 12*y - t*y - 2*y**2 - 3*y**2 - 23. Differentiate q(a) wrt a.
-10
Find the third derivative of 8*q**6 - 8866440 + 1038*q**2 - 28*q**5 - 17*q**5 + 8866440 wrt q.
960*q**3 - 2700*q**2
Let i(x) be the first derivative of 325*x**5 + 1178*x - 500. | {
"pile_set_name": "DM Mathematics"
} |
*2 + 1248132376682400*u + 624066132481280.
5*(u + 1)**2*(u + 11171984)**2
Solve 40350*p**3 - 80687*p**2 + 40324*p + 13 = 0 for p.
-13/40350, 1
Suppose -p**5/5 + 346*p**4 + 47464*p**3/5 - 41498*p**2/5 - 4261863*p/5 - 4174632/5 = 0. Calculate p.
-24, -11, -1, 9, 1757
Factor -5*m**2 + 204435*m - 613260.
-5*(m - 40884)*(m - 3)
Suppose c**2/5 - 59947*c/5 + 3281960 = 0. What is c?
275, 59672
Suppose 4*p**3 - 53216*p**2 + 235853520*p - 348235247808 = 0. What is p?
4326, 4652
Factor 246857*w**2 - 56915*w - 12.
(13*w - 3)*(18989*w + 4)
Solve -2*v**4 - 298686*v**3 - 11151815166*v**2 - 11151516482*v = 0 for v.
-74671, -1, 0
Factor -2*v**2/5 - 1646018*v/5 + 21399924.
-2*(v - 65)*(v + 823074)/5
Find t, given that -t**2/2 - 573587*t/2 + 26389234 = 0.
-573679, 92
Factor 14*p**2/5 + 2449637*p/5 + 524919.
(p + 174973)*(14*p + 15)/5
Factor -82*r**3 + 5562*r**2 + 6624*r.
-2*r*(r - 69)*(41*r + 48)
Solve -2*w**2 + 9476*w - 2529872 = 0 for w.
284, 4454
Let -2*r**4/3 - 5328*r**3 - 1921232*r**2/3 - 2497728*r - 7429280/3 = 0. Calculate r.
-7870, -118, -2
Suppose 12028005*i**5 - 12021801*i**4 - 120311066*i**3/5 - 62044*i**2/5 - 8*i/5 = 0. Calculate i.
-1, -2/7755, 0, 2
Factor 2*d**2/11 + 28274*d/11 + 197820/11.
2*(d + 7)*(d + 14130)/11
Factor m**3 + 6649958*m**2 - m - 6649958.
(m - 1)*(m + 1)*(m + 6649958)
Determine i so that -3*i**5 + 9*i**4 + 3813*i**3 - 40473*i**2 + 94686*i - 58032 = 0.
-39, 1, 2, 8, 31
Factor f**3/7 + 16*f**2 - 13841*f/7 - 47256.
(f - 88)*(f + 21)*(f + 179)/7
Find a such that 2*a**5/15 - 96878*a**4/15 - 4209314*a**3/5 + 96878*a**2/15 + 2525588*a/3 = 0.
-130, -1, 0, 1, 48569
Suppose -16581184*t**2 + 102113544*t - 628855929/4 = 0. What is t?
25077/8144
Factor -226241*d**3/5 + 6787229*d**2/5 - 10180839*d - 45.
-(d - 15)**2*(226241*d + 1)/5
Determine m, given that m**4 - 744*m**3 - 600558*m**2 - 120560480*m - 7631576667 = 0.
-181, 1287
Solve 2*k**4/21 + 2326*k**3/21 + 883972*k**2/21 + 109286216*k/21 - 15994160 = 0.
-490, -338, 3
Determine c, given that 2*c**2/5 - 10264*c - 1695738/5 = 0.
-33, 25693
Suppose -4*s**2 - 1566397552*s - 153350080681974544 = 0. Calculate s.
-195799694
Find z such that 196*z**5/9 + 133756*z**4/9 + 15815984*z**3/9 + 149809472*z**2/9 - 29830400*z/3 + 1441088 = 0.
-534, -138, -11, 2/7
Let -100*w**2/3 - 6858299*w/3 + 22861 = 0. What is w?
-68583, 1/100
Factor l**3/4 - 28443*l**2/2 - 142246*l + 341376.
(l - 56896)*(l - 2)*(l + 12)/4
Suppose -2*z**5 - 963776*z**4 + 23131696*z**3 - 38553152*z**2 - 92526752*z + 169633024 = 0. What is z?
-481912, -2, 2, 22
Factor r**3/2 - 483*r**2/2 + 1188*r + 3346.
(r - 478)*(r - 7)*(r + 2)/2
Suppose -2*a**3 + 49286*a**2 - 837316*a + 788032 = 0. Calculate a.
1, 16, 24626
Find v, given that -v**4 + 2527*v**3 - 36672*v**2 - 2523668*v - 21171136 = 0.
-14, 43, 2512
Factor -n**2 + 4920*n - 4231799.
-(n - 3809)*(n - 1111)
Suppose x**3/4 + 4067*x**2/2 - 1978375*x/4 + 29638973 = 0. What is x?
-8372, 119
Factor 1626024976*y**3 - 8150609472*y**2 + 102487476*y - 322580.
4*(y - 5)*(20162*y - 127)**2
Find x, given that -2*x**5/15 - 94962*x**4/5 - 455798*x**3/3 - 4273042*x**2/15 + 75968*x + 1139480/3 = 0.
-142435, -5, -2, 1
Determine o, given that -2*o**4/11 - 342082*o**3/11 - 2052420*o**2/11 = 0.
-171035, -6, 0
Let -f**2/3 - 4883*f/3 + 54076 = 0. What is f?
-4916, 33
Let -15*z**5 + 3098*z**4 - 110829*z**3 + 426222*z**2 - 472876*z + 78408 = 0. What is z?
1/5, 2, 121/3, 162
Factor 4*j**5 + 106504*j**4 + 710326400*j**3 + 18396560000*j**2.
4*j**2*(j + 26)*(j + 13300)**2
Suppose -10*s**2 - 341702*s + 4375424 = 0. Calculate s.
-34183, 64/5
Determine v, given that -v**2/5 + 142346*v/5 + 427047/5 = 0.
-3, 142349
Find l, given that -l**5/3 + 1463*l**4/3 - 308734*l**3/3 - 311662*l**2/3 + 308735*l/3 + 310199/3 = 0.
-1, 1, 257, 1207
Factor -q**3/4 + 3853345*q**2/2 + 200374447*q/4 + 325608751.
-(q - 7706716)*(q + 13)**2/4
Solve -28*f**5/9 + 387896*f**4/3 - 21268556*f**3/9 - 39381568*f**2/9 - 3434192*f/3 + 6646720/9 = 0 for f.
-1, 2/7, 20, 41542
Factor 5*m**2 + 3075*m - 1143180.
5*(m - 261)*(m + 876)
Solve -2*l**4/3 + 52913722*l**3/3 + 52913726*l**2/3 - 52913722*l/3 - 17637908 = 0 for l.
-1, 1, 26456862
Suppose 5*i**5 + 1245*i**4 + 42840*i**3 + 41600*i**2 = 0. Calculate i.
-208, -40, -1, 0
Determine y so that 8*y**3 + 3330015*y**2 + 2913756*y - 416251 = 0.
-416251, -1, 1/8
Suppose 147*k**4/5 + 13663986*k**3 - 244001361*k**2/5 + 122697924*k/5 - 3346308 = 0. Calculate k.
-464765, 2/7, 3
Factor -3*f**2/8 + 2259603*f/8 - 2259579.
-3*(f - 753193)*(f - 8)/8
Find v such that 9*v**3 + 20940*v**2 - 104925*v = 0.
-6995/3, 0, 5
Find k, given that -5*k**4/4 + 255*k**3/4 + 32265*k**2/2 + 351000*k + 2025000 = 0.
-75, -12, 150
Factor x**2 + 4263495*x + 4263494.
(x + 1)*(x + 4263494)
Factor 2*b**2 + 3418*b - 256464.
2*(b - 72)*(b + 1781)
What is a in 5*a**2 + 1167505470*a + 68153451123996045 = 0?
-116750547
Let 3*n**5/7 + 28716*n**4/7 + 10793316*n**3/7 - 21701520*n**2/7 = 0. Calculate n.
-9180, -394, 0, 2
Solve 2*s**3/11 + 26821006*s**2/11 = 0.
-13410503, 0
Factor -k**3/7 - 2232*k**2/7 + 24699*k/7 + 58318/7.
-(k - 13)*(k + 2)*(k + 2243)/7
Find j, given that 460800*j**2/13 + 115455360*j/13 + 7231955378/13 = 0.
-60133/480
Factor -m**3/3 + 45038104*m**2/3 - 507107748016805*m/3 + 1014215315881202/3.
-(m - 22519051)**2*(m - 2)/3
Factor -t**5/2 + 167445*t**4/2 + 2093375*t**3.
-t**3*(t - 167470)*(t + 25)/2
What is h in h**2 - 2653*h + 973720 = 0?
440, 2213
Factor 2*q**2/3 - 3630*q + 3042900.
2*(q - 4410)*(q - 1035)/3
What is m in -106*m**4 + 85434*m**3 - 844374*m**2 + 1755934*m + 33432 = 0?
-1/53, 3, 7, 796
Find b, given that -2*b**2/15 - 2126*b/15 - 53028/5 = 0.
-982, -81
Let 2*k**3/5 + 16*k**2/5 - 92026*k/5 + 55176 = 0. What is k?
-220, 3, 209
Let -5*f**3 - 16325*f**2 + 9543465*f - 1289871135 = 0. What is f?
-3787, 261
Factor 5*m**2 + 7830910*m + 23492685.
5*(m + 3)*(m + 1566179)
Solve 2*x**2/3 - 12614*x/3 + 1509140/3 = 0 for x.
122, 6185
Factor 3*d**2 - 4965*d - 1319712.
3*(d - 1888)*(d + 233)
Suppose -2*b**3/7 - 298*b**2/7 + 1938*b/7 + 15606 = 0. What is b?
-153, -17, 21
What is f in f**2/2 + 247014*f - 1976144 = 0?
-494036, 8
Solve 12*f**5 - 73533*f**4 - 902400*f**3 - 1106124*f**2 + 5673120*f + 1473600 = 0 for f.
-10, -4, -1/4, 2, 6140
Factor 3*z**2/7 - 14163*z/7 - 1564596/7.
3*(z - 4829)*(z + 108)/7
Determine r, given that 3*r**3/2 + 182925*r**2/2 - 29513067*r + 58660272 = 0.
-61296, 2, 319
Find s, given that -2*s**4/5 + 11358*s**3/5 - 943314*s**2/5 + 18758234*s/5 + 8276124 = 0.
-2, 43, 5595
Factor 5*m**2 + 2684000*m + 8051955.
5*(m + 3)*(m + 536797)
Find g, given that 1812*g**5 - 7341*g**4 - 3624*g**3 + 14682*g**2 + 1812*g - 7341 = 0.
-1, 1, 2447/604
Factor -5*w**3 + 67200*w**2 - 231847440*w + 40415953280.
-5*(w - 6628)**2*(w - 184)
Solve -v**4/9 + 4024*v**3/3 - 3942168*v**2 - 639671136*v - 25269553296 = 0.
-78, 6114
Factor -4*z**2 + 61247732*z.
-4*z*(z - 15311933)
Suppose 3*p**2 + 8628*p - 11745216 = 0. Calculate p.
-3884, 1008
Factor y**2/4 + 259847*y/4 + 5975423/2.
(y + 46)*(y + 259801)/4
Factor 2*o**2/19 + 705004456*o/19 + 62128910372481992/19.
2*(o + 176251114)**2/19
Find l such that 5*l**2/2 + 627545*l/2 - 20405775 = 0.
-125574, 65
Solve -q**5/3 - 62*q**4/3 + 29396*q**3/3 - 529986*q**2 + 3657423*q + 16008300 = 0 for q.
-225, -3, 12, 77
Solve -2*x**2 - 42498212*x - 225762252899618 = 0.
-10624553
Suppose -3*v**3/2 - 135*v**2 + 99423*v/2 - 1174875 = 0. Calculate v.
-241, 26, 125
Factor 3*r**3 - 6963444*r**2 + 4040844772095*r - 56570461982538.
3*(r - 1160567)**2*(r - 14)
Solve 14*j**3 - 398*j**2/5 - 823844*j/5 - 216384 = 0.
-105, -46/35, 112
Factor -2*u**2/5 + 762986*u/5 + 6867036/5.
-2*(u - 381502)*(u + 9)/5
Factor -x**3 + 1464*x**2 + 2449755*x + 738504382.
-(x - 2542)*(x + 539)**2
Factor m**3/8 + 61*m**2 + 6384*m.
m*(m + 152)*(m + 336)/8
Let -4*i**5 - 2996*i**4 - 29512*i**3 + 36536*i**2 + 787276*i + 724220 = 0. Calculate i.
-739, -7, -1, 5
Let 11*y**5 - 196*y**4 + 228*y**3 + 6406*y**2 - 5279*y - 1170 = 0. What is y?
-5, -2/11, 1, 9, 13
Solve 3*q**3/2 - 156723*q**2 + 3760704*q - 22562928 = 0.
12, 104458
Factor 4*t**2 + 41152*t + 1639680.
4*(t + 40)*(t + 10248)
Factor -5*x**4 - 30105*x**3 - 46055400*x**2 + 22751816000*x + 69598835520000.
-5*(x - 1059)*(x + 2360)**3
Find k such that -k**3/7 - 20289*k**2/7 - 971919*k/7 - 7104591/7 = 0.
-2 | {
"pile_set_name": "DM Mathematics"
} |
)*5 + sqrt(120))/sqrt(12))/(sqrt(60)/(sqrt(120)/sqrt(10))))**2.
72
Simplify -2 + (sqrt(1088) - (-1*sqrt(1088) + -3))**2 - (-5 + 2*(-5 + sqrt(272))).
88*sqrt(17) + 4374
Simplify (2 + (sqrt(396)*1 + 0 - ((1 + sqrt(396))*-5 + sqrt(396)))**2)*-3.
-29781 - 900*sqrt(11)
Simplify (sqrt(12) + -3 - (-1*sqrt(18))/sqrt(6))**2 + 5 + (sqrt(243) + (-1*sqrt(243) - sqrt(243))**2)*-3.
-2875 - 45*sqrt(3)
Simplify ((sqrt(312)*-2 + sqrt(312))/sqrt(8))/(4*1*sqrt(3) + sqrt(3)) + -2.
-2 - sqrt(13)/5
Simplify (-1*((-3*-1*sqrt(2736) - sqrt(2736)) + (sqrt(2736) - 4*sqrt(2736)*-2 - sqrt(2736))))**2 + -5.
273595
Simplify ((4 + sqrt(192) + sqrt(192) + (sqrt(192) + 5 + 2 - sqrt(192)))*-4)**2.
5632*sqrt(3) + 14224
Simplify -6*((4*(4*sqrt(45) + 2))**2 + -2).
-69492 - 4608*sqrt(5)
Simplify -5 + (sqrt(13) - sqrt(208)) - 1*sqrt(13)*1 - (2 + sqrt(26)/sqrt(2))**2*-5.
16*sqrt(13) + 80
Simplify (sqrt(1200) + 1)*-1 - (-1*sqrt(1200))**2*-2.
-20*sqrt(3) + 2399
Simplify ((sqrt(77) + (sqrt(77) - sqrt(77)*-1)*-6)/sqrt(11) - (-3 + (sqrt(63)*5 - sqrt(7))**2))*1.
-1369 - 11*sqrt(7)
Simplify (-2 + 3*sqrt(171) + 1 + sqrt(57)/(sqrt(9)/(sqrt(12)/sqrt(4)) + sqrt(3)))**2.
-19*sqrt(19) + 6863/4
Simplify -5*(-5*-1*sqrt(91) - sqrt(91))/(sqrt(112) + (sqrt(112)*1 + sqrt(112) - sqrt(112) - sqrt(112))).
-5*sqrt(13)
Simplify 4*((sqrt(448) + -3 - sqrt(448)) + -3 + (sqrt(448) + -2*sqrt(448))**2 + 4)*-5.
-8920
Simplify ((sqrt(133) - -1*sqrt(133)*3) + sqrt(133)*1*-3)/(sqrt(21)/((sqrt(12)/sqrt(4) + sqrt(3))*-5)).
-10*sqrt(19)
Simplify (((sqrt(8) + 0 + -5 - sqrt(8) - (sqrt(48)*2)/sqrt(6)) + -1)*2)**2.
192*sqrt(2) + 272
Simplify 3 + ((sqrt(637) - (4 + sqrt(637))**2)*5 - (sqrt(637) + -5 + 0)).
-3257 - 252*sqrt(13)
Simplify (3*-2*sqrt(187) + -1*-1*sqrt(187))/(2*sqrt(891)*-3).
5*sqrt(17)/54
Simplify (5*(-1*sqrt(35) - sqrt(35))/sqrt(7) + 3*(1 + sqrt(605)) + -3)**2.
2645
Simplify (2 + -1 + sqrt(567))**2 + (sqrt(21) - 6*sqrt(21)*-2)/sqrt(3).
31*sqrt(7) + 568
Simplify (-3*sqrt(11)*5 - (sqrt(11) + 1*sqrt(11)*-3))*6.
-78*sqrt(11)
Simplify ((sqrt(52) + -3 - (sqrt(1872) + 0 + sqrt(13))) + 0)**2.
66*sqrt(13) + 1582
Simplify (0 + sqrt(2) + sqrt(2))**2*-4*-2 - ((sqrt(4)/sqrt(2) + 0 - sqrt(2))**2 + sqrt(2) + 5 + -1*sqrt(2)).
59
Simplify ((sqrt(2200) + sqrt(2200)*4)/(1*sqrt(50)))**2.
1100
Simplify ((-3*(0 + sqrt(171) - sqrt(171)))**2 + sqrt(171) - (sqrt(171) - (sqrt(171) - (sqrt(171) + -1*sqrt(171)*1)**2)))*2.
6*sqrt(19)
Simplify -2 + (sqrt(2736) + (sqrt(2736) - (-2 + sqrt(2736)))**2 - (sqrt(76)*1 + sqrt(19))) + (1*sqrt(228)*-1)/sqrt(12).
2 + 8*sqrt(19)
Simplify sqrt(36)/(sqrt(60)/sqrt(5)) + -1 - 2*sqrt(192)*-6.
-1 + 97*sqrt(3)
Simplify (sqrt(36) - (sqrt(900) + sqrt(900)*1))/(sqrt(132)/(sqrt(11)*-1))*-6.
-54*sqrt(3)
Simplify (3*(sqrt(1053) + -3*sqrt(1053))**2 - (sqrt(1053) + -3 - sqrt(1053))*6)*6.
75924
Simplify (-6*(sqrt(684) - sqrt(684)*1)*6 + sqrt(152)/(-2*sqrt(968))*-1)**2.
19/484
Simplify (-4*sqrt(72)*-6)/(2*sqrt(4)*-3).
-12*sqrt(2)
Simplify ((sqrt(152) - (sqrt(152)*-2 + sqrt(152)))*-5*1)/((sqrt(288)/sqrt(6))/sqrt(6)*2).
-5*sqrt(19)
Simplify (sqrt(340)/(sqrt(100)/sqrt(10) + sqrt(10)))/sqrt(128).
sqrt(17)/16
Simplify 2 + ((sqrt(2448) - (sqrt(2448) + sqrt(2448) + ((sqrt(2448) - (sqrt(2448)*3 - sqrt(2448))) + sqrt(2448))*-4)) + sqrt(2448))**2 + (-1 + sqrt(2448))*3.
-1 + 36*sqrt(17)
Simplify 1 + 3*(-3 + ((1*sqrt(612)*5)**2 - (sqrt(612) + -5 + sqrt(612) + (sqrt(612) + 0 + sqrt(612) + sqrt(612))**2 + sqrt(612)))).
-54*sqrt(17) + 29383
Simplify (5 + (sqrt(243) - (sqrt(243) + -3)) + -4)**2 - (3*(sqrt(243) - 2*sqrt(243) - sqrt(243)) + (sqrt(243)*-2 + sqrt(243))**2 + 2).
-229 + 54*sqrt(3)
Simplify ((sqrt(128) + -3*(sqrt(128) - sqrt(128)*-1) + -5)*-6*4)**2.
230400*sqrt(2) + 1857600
Simplify -5 + (-5 + (1 + sqrt(1331) + -5)*-3*-4)**2.
-13992*sqrt(11) + 194468
Simplify -1*(((sqrt(684)*-3 + 2)*2)**2 + 4).
-24644 + 288*sqrt(19)
Simplify -1 + -3*((-4*(1 + sqrt(432)))**2 - ((sqrt(15)/(sqrt(15)/sqrt(3)))**2 - (sqrt(3) - sqrt(6)/sqrt(2)*2))).
-20776 - 1149*sqrt(3)
Simplify 1*(-3 + ((sqrt(304) + 1)*6 - (sqrt(931) + -1 + 4*(sqrt(19) + sqrt(38)/sqrt(2)))))**2.
72*sqrt(19) + 1555
Simplify (-3*(sqrt(51) - sqrt(153)/sqrt(3))*5)/(sqrt(21)/(5*sqrt(28))).
0
Simplify -1*sqrt(11)*-3*-2 - 2*-1*2*sqrt(11).
-2*sqrt(11)
Simplify ((2*sqrt(720)*-2*-6 - (-1 + sqrt(720) + 0 - sqrt(720)*1*-6))*6)**2.
14688*sqrt(5) + 7490916
Simplify (sqrt(38) - sqrt(228)/(sqrt(6)*1))/((sqrt(14)*-1)/sqrt(7)).
0
Simplify -4*(4 + (3 + 6*(sqrt(80) + 1))**2).
-11860 - 1728*sqrt(5)
Simplify (-4 + (sqrt(17) + sqrt(68) - sqrt(17)))**2 + 2*(sqrt(17) - sqrt(425)) + (1*sqrt(170)*-2)/(sqrt(90)*2 + sqrt(90)).
-218*sqrt(17)/9 + 84
Simplify sqrt(51)/(-5*sqrt(12) + sqrt(3)) + 5 - (sqrt(153) - (sqrt(153) - 2*sqrt(153)*5))/(sqrt(36)/sqrt(4)*-2 + sqrt(9)).
5 + 89*sqrt(17)/9
Simplify (sqrt(2299)*-3 - sqrt(2299))*3 + sqrt(2299) - sqrt(38)/(sqrt(32)*2).
-969*sqrt(19)/8
Simplify (sqrt(120)/sqrt(2) - sqrt(60))/(sqrt(3) + sqrt(3)*2*-5).
0
Simplify ((sqrt(110) - sqrt(110)*-1*-5) + sqrt(110) - (sqrt(110) - -3*2*sqrt(110)))/(sqrt(100)/(sqrt(250)*6))*1.
-300*sqrt(11)
Simplify -5 + (1 + -1*sqrt(13) + -5)**2 + 4 + (-5*(sqrt(208) + -1 + sqrt(208)))**2.
-392*sqrt(13) + 20853
Simplify -6*(1*(sqrt(704) + -1 + sqrt(704))**2 - 1*(2 + sqrt(704))).
-16890 + 240*sqrt(11)
Simplify (4*sqrt(468))/(5*(sqrt(4) + sqrt(12)/sqrt(3)))*-4.
-24*sqrt(13)/5
Simplify (sqrt(704) + 0)**2 + ((-5 + sqrt(55)/sqrt(5))**2 - sqrt(11)) + (1 + sqrt(176))*-2 + 4.
-19*sqrt(11) + 742
Simplify ((sqrt(187) + ((sqrt(187) + 2*sqrt(187) + sqrt(187) + sqrt(187))*-3 - sqrt(187)))*-5)/(sqrt(539) + 6*(sqrt(539)*2 + sqrt(539) - sqrt(539))).
75*sqrt(17)/91
Simplify 3*(((0 + sqrt(80))*5)**2 + 5)*-1 + -1.
-6016
Simplify ((-4 + sqrt(637) + 1 - sqrt(637)) + -5)**2 - (-4 + sqrt(637) + -1 - ((sqrt(637) - (-1*sqrt(637) + sqrt(637) + sqrt(637))) + 5)**2).
-7*sqrt(13) + 94
Simplify ((-5 + (sqrt(1573) - (-2 + sqrt(1573) + sqrt(1573))) - (sqrt(1573) + -2 + 5))*-2*4)**2.
16896*sqrt(13) + 404992
Simplify -6*(-3*sqrt(2541))/(-6*(2*sqrt(7) + sqrt(7))).
-11*sqrt(3)
Simplify (0 + (-3 + (-1*sqrt(612) + sqrt(612) - sqrt(612)) - sqrt(612)))*4.
-48*sqrt(17) - 12
Simplify (-2*sqrt(833) + 2 + (-1 + sqrt(425))*-3)**2.
-290*sqrt(17) + 14322
Simplify ((-2 + 0 + sqrt(2299) + -5 + sqrt(2299))*-4*-6)**2.
-177408*sqrt(19) + 5325120
Simplify (sqrt(153)/sqrt(3)*-1 + (1*sqrt(408))/sqrt(8))/((sqrt(135) - -1*sqrt(135))/sqrt(5)) + 1.
1
Simplify ((sqrt(245) + ((sqrt(245) + 0)**2 - sqrt(245)))*2 - (4 + sqrt(245) + (sqrt(245) + sqrt(245) + 2*sqrt(245) - sqrt(245)))**2) + 4.
-3442 - 224*sqrt(5)
Simplify ((sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(28)/sqrt(4))*5)*1 + -1)**2 - 1*(3 + (sqrt(14)/(sqrt(8)/sqrt(4)))**2).
-4*sqrt(7) + 19
Simplify (5*(sqrt(637) + 0 - sqrt(637)) - (4 + sqrt(39)/sqrt(3) + (sqrt(468) - 2*sqrt(468))))*6.
-24 + 30*sqrt(13)
Simplify -4*-3*(-1 + sqrt(931) + 0 + (sqrt(931) - sqrt(931)*1)*5).
-12 + 84*sqrt(19)
Simplify ((-4*sqrt(63)*5)/(-3*sqrt(441)))**2.
400/63
Simplify (-3 + 0 + (-1 + sqrt(80) - sqrt(80)) + 3 + -6*-2*sqrt(80) + sqrt(80) + -1)**2.
-208*sqrt(5) + 13524
Simplify -1*(sqrt(30)/sqrt(3))/sqrt(5) + -3*sqrt(16)/sqrt(72) + -5.
-5 - 2*sqrt(2)
Simplify (((sqrt(1573) + sqrt(1573) + 0)*-5 + sqrt(1573))*4*-3*6)**2.
660508992
Simplify 3 + (3 + sqrt(891) + 1 + sqrt(891))*5.
23 + 90*sqrt(11)
Simplify 3 + sqrt(2448)*-1 + sqrt(2448) + (-5 + 2*sqrt(2448) - sqrt(2448))**2 + 2.
-120*sqrt(17) + 2478
Simplify (sqrt(156) + (sqrt(156) - sqrt(156)*-2)*-4)/sqrt(12) + (-5 + sqrt(1872) + 1)**2 + sqrt(1872).
-95*sqrt(13) + 1888
Simplify (((sqrt(190) + sqrt(190) + sqrt(190)*1 + sqrt(190))*-5 - sqrt(190))/((sqrt(80)/sqrt(4))/sqrt(2) + sqrt(10)))**2.
8379/4
Simplify ((4 + (sqrt(153) + -6*(sqrt(153) - 2*sqrt(153)))/(sqrt(18)/(sqrt(16)/sqrt(8))))*-1)**2.
56*sqrt(17) + 849
Simplify (sqrt(32)*3)**2*2 + (sqrt(18) + 2 + sqrt(800))**2.
92*sqrt(2) + 1638
Simplify ((sqrt(99)*2 + sqrt(99))*1 + 0 + ((sqrt(99) - (-2 + sqrt(99))) + sqrt(99) - sqrt(99) - sqrt(99)) + sqrt(99))**2 + -1.
36*sqrt(11) + 894
Simplify (sqrt(6)/sqrt(3) + sqrt(2))*-4 + (sqrt(16)/sqrt(72))**2 - (sqrt(16)*-4*-1)/sqrt(8).
-12*sqrt(2) + 2/9
Simplify (sqrt(189)/(3*sqrt(9))*1)/(sqrt(567)*-1 + sqrt(168)/sqrt(6) + sqrt(7)).
-sqrt(3)/18
Simplify (sqrt(264)/(sqrt(275) + sqrt(11)))/(sqrt(972)*1 + sqrt(972) - sqrt(972) - sqrt(12)) + 0.
sqrt(2) | {
"pile_set_name": "DM Mathematics"
} |
91 + 118 = 0, -3*v - 121 = -5*p. Let i(q) = 35*q - 2. Calculate the remainder when i(2) is divided by p.
22
Let m = 0 - -12. Let d be (2/(-3))/((-2)/m). Suppose 1 + d = -l + 2*x, 2*l - 3*x + 7 = 0. What is the remainder when 3 is divided by l?
0
Let o = -161 - -186. Let y = 167 - 45. Calculate the remainder when y is divided by o.
22
Let t(q) = 10*q - 62. Let w(a) = 5*a - 31. Let x(z) = 3*t(z) - 5*w(z). What is the remainder when x(10) is divided by 7?
5
Suppose -219 + 20 = -a - 2*c, 3*c = -4*a + 781. Calculate the remainder when a is divided by 39.
37
Let t be ((-4)/8)/(4/(-40)). Suppose 0*c - z + 56 = 2*c, 4*c - 100 = -t*z. Calculate the remainder when c is divided by 16.
14
Suppose 2*j - 3 = 5. Let u(w) = -w**2 - 6*w + 4. Let x be u(-6). Let b = j + x. Calculate the remainder when 29 is divided by b.
5
Let y(t) = 66*t + 1. Suppose 4*x - 24 = -4. Suppose -4*c - h + 5 = -68, 3*c = x*h + 26. Calculate the remainder when y(1) is divided by c.
16
Let j(y) = -y**3 + 11*y**2 + y + 32. What is the remainder when j(8) is divided by 59?
55
Let u(h) = -h**3 - 6*h**2 - 7*h + 7. Let g be u(-5). Suppose 0 = -2*q + 37 - g. Let y = 15 - q. Calculate the remainder when 12 is divided by y.
2
Let r = 3 - 5. What is the remainder when 37 is divided by r/1 - (0 - -1 - 16)?
11
What is the remainder when 117 is divided by -1*59/(7/(-7))?
58
Let c = -7715 + 7755. Let b = -290 - -449. Calculate the remainder when b is divided by c.
39
Suppose 35 = 5*c - 3*o, 2*o + 27 = 4*c + 1. Suppose 5 = -b, c*y = -2*b + 192 + 126. What is the remainder when y is divided by 21?
19
Let b(k) = -k**3 + 11*k**2 - 10*k - 4. Let d = 15 + -5. Let f be b(d). Calculate the remainder when 29 is divided by (f + 0)/2 - -17.
14
What is the remainder when 338 is divided by 2516/44 + 12/(-66)?
53
Let b(j) = -j**2 - 8*j + 23. Let l be b(-10). Suppose -25 = -5*p, -2*p + 52 = 3*r + l*p. Calculate the remainder when 21 is divided by r.
3
Let m(c) = c - 14. Let q be m(8). Let v(o) = 64*o + 1. Calculate the remainder when v(1) is divided by (-4)/q + (-1408)/(-66).
21
What is the remainder when 89 is divided by (-225)/45 - 7*-3?
9
Suppose 2*j + g - 177 = 0, 197*j - g - 263 = 194*j. What is the remainder when 208 is divided by j?
32
Let f(u) = u**3 - 6*u**2 - 23*u + 33. What is the remainder when f(9) is divided by 36?
33
Suppose 93*d = 96*d - 852. What is the remainder when d is divided by 48?
44
Calculate the remainder when 127 is divided by (-12)/(-3) + ((-9)/(-1) - 4).
1
Suppose y - 230 = -2*m, 5*m - m - 696 = -3*y. Calculate the remainder when y is divided by 40.
36
Let d = 0 - 29. Let x(b) = 2*b**2 - 6*b - 6. Let f be x(7). Let l = d + f. Calculate the remainder when 102 is divided by l.
18
Let f = 736 + -652. What is the remainder when f is divided by 71?
13
Let x = -54 + -21. Let u be x/(-15)*(-42)/(-1). Let f = u + -142. Calculate the remainder when f is divided by 14.
12
Suppose 0 = -q - 4*x - 9, -q - q - 3*x = 3. Suppose q*h - 2*b - 56 = -6*b, 5*b = 3*h - 38. What is the remainder when 62 is divided by h?
14
Suppose -195 - 974 = -7*b. Calculate the remainder when b is divided by 57.
53
Suppose 4 = l + 34. Let y = l + 80. Calculate the remainder when y is divided by 18.
14
Let o(v) = -v**2 + 12*v - 8. Let b be o(10). What is the remainder when b/30 - 258/(-5) is divided by 6?
4
Let y(m) = -5*m - 5. Let x be y(5). Let n = 109 - 67. Let c = n + x. Calculate the remainder when 32 is divided by c.
8
Let k(x) be the third derivative of -x**5/60 + 11*x**4/24 + 5*x**3/3 - 10*x**2. Calculate the remainder when 117 is divided by k(6).
37
Suppose 11 = -3*w + 5*w - 3*k, -4*w + 5*k + 19 = 0. What is the remainder when (98 + 0)/(3 - w) is divided by (50/4)/(3/6)?
24
Let s(h) = 4*h**2 - 9*h + 5. Let t(r) = 7*r**2 - 19*r + 10. Let o(i) = -5*s(i) + 3*t(i). What is the remainder when 14 is divided by o(12)?
4
Suppose 10 = 3628*g - 3626*g. Let b = -6 + 24. What is the remainder when b is divided by g?
3
Let t = 75 - 68. What is the remainder when (-8008)/(-98) + 2/t is divided by 21?
19
Suppose 0 = 5*z - 4*t - 379, -3*z = -0*z + 3*t - 249. Calculate the remainder when z is divided by 42.
37
Suppose p + 3 = -0*p - 4*o, -3*p - 4*o + 7 = 0. Suppose w + 3*j = -13 + 4, 0 = w + 2*j + p. Let y = w + 6. What is the remainder when 33 is divided by y?
6
Suppose -42*i = -47*i + 115. What is the remainder when i is divided by 12?
11
Let u be (31 + (-4)/1)*(2 - 1). Suppose 5*p - 4*n - 23 = u, 0 = -3*n. What is the remainder when 78 is divided by p?
8
Let h(n) = -n**3 + 9*n**2 + 12*n - 15. Let u be h(10). Let t = -2 + u. Suppose m - 5*m - 38 = -2*w, -t = -m. What is the remainder when 99 is divided by w?
24
Let p = 139 + -98. Suppose 5*c = j + 1010, -5*j + 629 = 3*c - j. Calculate the remainder when c is divided by p.
39
Calculate the remainder when ((-18)/4)/((-49)/1078) is divided by 27.
18
Let w = -20 - -25. Suppose 68 = 4*p + w*h, -3*h + 20 = 4*p - 40. What is the remainder when 23 is divided by p?
11
Calculate the remainder when ((-54)/45)/((2/(-55))/2) is divided by 11 - (1 + -3)/(-2).
6
Let v(y) = 23*y**3 - y**2 - 15*y + 16. Calculate the remainder when 79 is divided by v(1).
10
Suppose -5*v + 708 = -302. Suppose 3*s + 44 - 167 = 0. What is the remainder when v is divided by s?
38
Suppose 3*b - 14*v = -12*v + 180, 15 = -5*v. Calculate the remainder when 128 is divided by b.
12
Suppose r - 2*r = 3, -4*r + 618 = 3*s. Suppose 19*y - 4*y - s = 0. Calculate the remainder when 38 is divided by y.
10
Let s(n) = -63*n - 70. What is the remainder when 590 is divided by s(-3)?
114
Suppose -52 = -0*b - 4*b. Let w = b - 6. Let i = -4 - -17. Calculate the remainder when i is divided by w.
6
Suppose 75*g = 76*g + 316. What is the remainder when 177 is divided by ((-237)/g)/(0 - 1/(-12))?
6
Let h(o) = o**2 + o - 1. Let f be h(0). Let n(t) = -13*t - 3. What is the remainder when 23 is divided by n(f)?
3
Let q be -12*(4 + 48/(-9)). Let z = 32 - q. What is the remainder when z is divided by 5?
1
Let c(k) = k - 1. Let s(q) = q**2 + 13*q + 2. Let m(v) = 2*c(v) - s(v). Let o be m(-7). Suppose -o = -4*l + l. What is the remainder when 15 is divided by l?
7
Suppose -w - c + 5 = 0, -2*w - 1 = -w - c. Let f(p) = 3*p**3 + 2*p + 1. What is the remainder when f(w) is divided by 11?
7
Let n(z) = 7*z - 26. Let t be n(4). Suppose -j + s + 3 = 0, j - t*j + 4*s + 6 = 0. Let i = -12 - -17. What is the remainder when i is divided by j?
1
Suppose 4*m + 53 = -3*r + 2*r, -3*r = -2*m - 37. Let w(d) = 4*d**2 + 9*d - 2. Calculate the remainder when m/(-49) - 710/(-14) is divided by w(-4).
25
Let h be (-301)/(-2) - -5 - 1/(-2). Suppose -4*v = 2*p - h, 3*v - 58 - 304 = -5*p. Calculate the remainder when p is divided by 24.
22
Suppose -104 + 914 = 54*s. What is the remainder when 149 is divided by s?
14
Let y(c) = -c**3. Suppose -3*v - 4 = v. What is the remainder when 1 is divided by y(v)?
0
Let c be -2 + 4 + 7/((-35)/(-235)). Let v = 81 - 39. Suppose 4*q - c = -n + 147, -v = -q - 2*n. Calculate the remainder when q is divided by 13.
11
Let x = -212 + 293. Suppose 4*z + 2*d = 88, -4*z - d = -4*d - 78. What is the remainder when x is divided by z?
18
Let o = -38 - -12. What is the remainder when (13 + -5)*o/(-4) is divided by 27?
25
Suppose 3*o + 4*g - 148 = 0, 17 = 3*o - 4*g - 99. Calculate the remainder when o is divided by 15.
14
Let r(n) = -n**3 + 0*n - 9*n - 4 - 15*n**2 + 24*n. What is the remainder when 21 is divided by r(-16)?
9
Let p = 7 - 5. Suppose -p*f + 78 = -28. Suppose 10*a + 3*a = 351. Calculate the remainder when f is divided by a.
26
Let y(f) = -1. Let b(p) = 2*p + 3. Let w(m) = -3*b(m) - 6*y(m). What is the remainder when w(-3) is divided by 4?
3
Let j(a) = -a**3 - 6*a**2 - 4*a + 1. Let h(n) be the second derivative of 7*n**3/6 - n**2 + 16*n. What is the remainder when h(7) is divided by j(-6)?
22
Let o = 12 - -1. Let d(c) = 113*c + 17. Let z(m) = 75*m + 11. Let w(r) = -5*d(r) + 8*z(r). What is the remainder when w(1) is divided by o?
12
Let o(u) = 2*u**3 - 4*u**2 + 4*u + 2. Let g be o(2). Suppose -4*h + 42 = g. What is the remainder when 44 is divided by h?
4
Suppose 5*j - k = 72, -k + 4 + 14 = j. Calculate the remainder when 297 is divided by j.
12
Let r be 58/14 + 3/(-21). Suppose 0 = -r*a + 3*h + 8 + 34, 2*h - 14 = -2*a. What is the | {
"pile_set_name": "DM Mathematics"
} |
ded by -5?
76227/5
1179 divided by -1002
-393/334
-20026 divided by -9
20026/9
Divide 260601 by 4917.
53
Divide 868868 by 16709.
52
Calculate -18120 divided by 6.
-3020
Divide 7110 by 3.
2370
What is -46 divided by 849?
-46/849
91344 divided by 132
692
Calculate 2 divided by -217857.
-2/217857
Calculate -109286 divided by -53.
2062
What is 445654 divided by 47?
9482
958646 divided by -13
-73742
Calculate 217504 divided by 4.
54376
Divide 8416 by 1.
8416
What is 4 divided by 1210724?
1/302681
What is 48404 divided by 3?
48404/3
Calculate 26673 divided by -6.
-8891/2
Calculate 18258 divided by 18258.
1
What is -549945 divided by 303?
-1815
Calculate -184 divided by 429.
-184/429
-77325 divided by -5155
15
Calculate -16897647 divided by -3.
5632549
What is 1354 divided by -550?
-677/275
Calculate -868259 divided by -3.
868259/3
Calculate -137825 divided by 5.
-27565
Divide 2 by 809045.
2/809045
What is -763 divided by 188?
-763/188
What is -9 divided by 3658?
-9/3658
-1 divided by 21793
-1/21793
Calculate -2649260 divided by -620.
4273
Divide -21 by 32790.
-7/10930
Divide 693 by -201.
-231/67
What is 12 divided by -52400?
-3/13100
Calculate -1055597 divided by -2.
1055597/2
What is 24220 divided by 70?
346
What is 1037 divided by 73?
1037/73
Calculate -1 divided by -50205.
1/50205
Divide -158 by -1073.
158/1073
Divide 32085 by -3565.
-9
Calculate 4 divided by 91354.
2/45677
-4035992 divided by -1008998
4
Divide -10 by -23966.
5/11983
12194 divided by 4
6097/2
Calculate 3863678 divided by 497.
7774
Divide -56 by -14439.
56/14439
Divide -65590 by -9370.
7
Divide 4043 by 40.
4043/40
What is 1 divided by 9208?
1/9208
What is 280592 divided by -2698?
-104
-47434 divided by -14
23717/7
0 divided by -14877
0
Divide 3623 by -45.
-3623/45
Divide -12684 by -453.
28
Divide -64292 by -17.
64292/17
Divide -6821 by -18.
6821/18
What is -403512 divided by 408?
-989
-115515 divided by 2567
-45
-356475 divided by -15
23765
Calculate -4 divided by -2230.
2/1115
Divide -43365 by 295.
-147
Calculate 6971 divided by -36.
-6971/36
Divide 55869 by -12.
-18623/4
Divide -920172 by -3.
306724
Divide -1000076 by -68.
14707
What is -1 divided by -794?
1/794
Calculate -31855 divided by -1385.
23
What is -8456 divided by -229?
8456/229
Calculate 1064660 divided by 212932.
5
Divide -19013 by 19013.
-1
What is -126445 divided by 1331?
-95
Divide 167120 by -5.
-33424
Divide -2 by 169684.
-1/84842
Divide 913484 by -143.
-6388
-14 divided by -32806
7/16403
Calculate -154967 divided by -6.
154967/6
Calculate 85651 divided by 3.
85651/3
Divide 9898 by -1.
-9898
Calculate 275 divided by 3.
275/3
Divide -501754 by 501754.
-1
275802 divided by -137901
-2
Divide -443 by -1.
443
What is -70860 divided by 14172?
-5
Calculate -46760 divided by -5.
9352
What is 839784 divided by -69982?
-12
Divide -126636 by -2076.
61
73314 divided by 9
8146
What is -4 divided by 75280?
-1/18820
Calculate -284 divided by -154.
142/77
-236816 divided by -5
236816/5
Divide 179920 by -65.
-2768
What is 754572 divided by 6?
125762
What is 692450 divided by 5?
138490
Divide -843892 by 6.
-421946/3
Calculate 191608 divided by 2.
95804
Calculate 152658 divided by 50886.
3
Calculate -42180 divided by -185.
228
Divide -829455 by -457.
1815
What is 844 divided by -844?
-1
1236556 divided by 4
309139
Calculate 130860 divided by -9.
-14540
99869 divided by -3
-99869/3
Divide 1995300 by 22170.
90
Calculate -4 divided by 24591.
-4/24591
Divide 622115 by 124423.
5
Calculate 450 divided by -171.
-50/19
Calculate -647373 divided by -6.
215791/2
204 divided by -1847
-204/1847
-3 divided by 169023
-1/56341
Divide 28 by -25062.
-14/12531
What is -2613 divided by 13?
-201
What is -272995 divided by -3?
272995/3
Calculate 50792 divided by 3.
50792/3
What is -127538 divided by 1?
-127538
78 divided by 57623
78/57623
What is -20785 divided by -1?
20785
What is 14444 divided by -46?
-314
What is -12 divided by -3507?
4/1169
Calculate 4514 divided by 15.
4514/15
3344 divided by -836
-4
Calculate -5948 divided by 1487.
-4
What is -722 divided by -361?
2
Divide -12258 by 227.
-54
Calculate 2 divided by 8963.
2/8963
Divide -12936 by 264.
-49
Calculate 514200 divided by 10.
51420
16422 divided by -782
-21
-90682 divided by -5
90682/5
Calculate 41728 divided by 109.
41728/109
Calculate 56960 divided by -160.
-356
Calculate -313885 divided by -5.
62777
Calculate -308032 divided by 6.
-154016/3
Calculate 611730 divided by 18.
33985
Divide 709400 by 141880.
5
Divide -5 by -88195.
1/17639
Calculate -54404 divided by 58.
-938
Divide 4525022 by -6.
-2262511/3
Calculate 65704 divided by -4.
-16426
293001 divided by -3
-97667
What is 19227 divided by 12?
6409/4
Divide -4 by -8530.
2/4265
What is -307613 divided by 5?
-307613/5
What is -3 divided by -99680?
3/99680
Calculate -85 divided by -462.
85/462
Calculate -3772 divided by 14.
-1886/7
Calculate 3901670 divided by 5.
780334
Calculate -137289 divided by 5.
-137289/5
Divide 1 by 2051.
1/2051
Calculate -1 divided by 177445.
-1/177445
Calculate 14398 divided by -46.
-313
What is 2776 divided by -53?
-2776/53
-234716 divided by -4
58679
61575 divided by 12315
5
2 divided by 26754
1/13377
50760 divided by -282
-180
Divide -21708 by 1206.
-18
-1 divided by 18211
-1/18211
What is 594 divided by -56?
-297/28
What is 88706 divided by -34?
-2609
Calculate -194700 divided by 75.
-2596
Divide -324233 by 49.
-6617
Calculate 1 divided by 576762.
1/576762
12637 divided by 5
12637/5
-175960 divided by 35192
-5
-1961 divided by 1
-1961
What is -1271530 divided by 5?
-254306
What is -4180 divided by -20?
209
What is 6 divided by 15785?
6/15785
What is -19175 divided by -3835?
5
Calculate 29 divided by 32456.
29/32456
What is 592212 divided by -98702?
-6
Divide -18987 by -92.
18987/92
Divide -7012 by 6.
-3506/3
What is -858336 divided by -8941?
96
Divide -199665 by 27.
-7395
What is -714 divided by -3368?
357/1684
-10653 divided by -11
10653/11
Divide 1594 by 692.
797/346
What is 7 divided by -92266?
-7/92266
-101660 divided by 1495
-68
What is -4 divided by -992646?
2/496323
4 divided by -14698
-2/7349
What is -25 divided by 1265?
-5/253
What is -198152 divided by 4216?
-47
Divide -337 by -257.
337/257
Divide -45110 by 3470.
-13
0 divided by 99557
0
Calculate 417975 divided by 139325.
3
Calculate -2433 divided by -79.
2433/79
Divide 1 by -6605.
-1/6605
55966 divided by -27983
-2
Divide -867 by -143.
867/143
What is 314204 divided by -11?
-28564
Calculate -60521 divided by 60521.
-1
What is -3 divided by -678136?
3/678136
Calculate 2 divided by 3082.
1/1541
-3185696 divided by 199106
-16
-112964 divided by 6
-56482/3
-368510 divided by 857
-430
What is -765869 divided by -13?
58913
-50414 divided by 554
-91
What is 134205 divided by 389?
345
What is -60995 divided by -12199?
5
What is 605334 divided by -6?
-100889
What is 5888833 divided by 1?
5888833
Divide 1283580 by 9.
142620
What is 1666590 divided by -277765?
-6
What is 82028 divided by -1?
-82028
Calculate 0 divided by -69916.
0
Divide 4582 by 54.
2291/27
Divide -21 by -6110.
21/6110
Calculate 364 divided by -13.
-28
249 divided by 269
249/269
Calculate 30 divided by -11736.
-5/1956
-2 divided by 2249
-2/2249
What is -182 divided by -4590?
91/2295
Divide -26608 by 4.
-6652
Calculate -249 divided by 1980.
-83/660
What is -1 divided by 15?
-1/15
Divide -2322586 by 1161293.
-2
92722 divided by -1
-92722
Divide -23697 by -4.
23697/4
696184 divided by 17
40952
-271 divided by -1263
271/1263
What is -7551 divided by 2517?
-3
0 divided by -552732
0
What is -932655 divided by 15?
-62177
Calculate -3513 divided by -67.
3513/67
What is -7330134 divided by 174527?
-42
2 divided by -299254
-1/149627
What is -64495 divided by 36?
-64495/36
Divide 483364 by -483364.
-1
Divide -27 by 16651.
-27/16651
Calculate 1 divided by -267286.
-1/267286
What is 34 divided by 3175?
34/3175
Calculate 2 divided by -1787.
-2/1787
Calculate 249768 divided by 62442.
4
51093 divided by 5677
9
Divide -27724 by 116.
-239
-42 divided by 27961
-42/27961
15328 divided by 3832
4
Calculate -1942480 divided by -8.
242810
What is 100962 divided by -10?
-50481/5
What is 74214 divided by -18?
-4123
-542928 divided by -48
11311
Divide -130105 by -7.
130105/7
Divide -1084880 by -4.
271220
Divide | {
"pile_set_name": "DM Mathematics"
} |
1077890
Product of 459 and -0.053.
-24.327
What is the product of 286.631 and 1?
286.631
What is the product of -6154 and 0.038?
-233.852
Calculate -0.1797*-172.
30.9084
-6 * 542690
-3256140
-0.3 times -61470
18441
What is -0.1 times -102116?
10211.6
Work out 451 * -0.7.
-315.7
What is the product of 0.062 and -40454?
-2508.148
-324.87 * -11
3573.57
728 * -6.3
-4586.4
1543.4 times -24
-37041.6
-1*-6322
6322
Work out -301943 * 3.
-905829
-28*-12253
343084
Multiply -0.5 and 10526.
-5263
Calculate -1.04053*0.2.
-0.208106
367 * 180.9
66390.3
What is 4 times 2111?
8444
What is the product of 321.73 and -0.041?
-13.19093
Work out -251 * 9323.
-2340073
What is -4 times 1733527?
-6934108
59.28 * -1.5
-88.92
-568.2*-5
2841
Multiply 12 and -1480.9.
-17770.8
Product of -0.111 and -76.
8.436
-206429 * 0.4
-82571.6
Product of -0.6207 and 0.5.
-0.31035
Calculate -14.9*11397.
-169815.3
Work out 3 * 14787.
44361
Work out 669 * -1.63.
-1090.47
Calculate 3*1339.77.
4019.31
Work out 135631 * 32.
4340192
What is the product of 209 and 484?
101156
2 times -663.127
-1326.254
0.5 times 1230992
615496
Work out -1 * -2864.
2864
0.7 times -1488
-1041.6
1212 times -8
-9696
Calculate -7.3*0.293.
-2.1389
0.2 times 36.291
7.2582
150 * 1270
190500
Multiply 210.696 and -5.
-1053.48
Multiply 0.3 and -10724.
-3217.2
26.817 times -0.2
-5.3634
5 * 705959
3529795
-3165 times 61
-193065
247 times 0.1
24.7
What is -10.2 times -2057?
20981.4
Product of 0.2 and -7554.8.
-1510.96
Work out 1 * 31305.
31305
What is 2 times -37212?
-74424
0.088351 * -0.2
-0.0176702
What is 2094 times 26?
54444
Calculate 14.7363*0.
0
Work out -0.1 * -15377.
1537.7
3 times 1.68741
5.06223
1.2*55.77
66.924
Work out -0.08 * 2.273.
-0.18184
Work out 8 * 6.434.
51.472
0.07 times 0.813698
0.05695886
-46*0.06228
-2.86488
0.24 * -52399
-12575.76
Multiply -2 and 53797.
-107594
-0.01448 * -0.5
0.00724
Calculate -3.5*-0.493.
1.7255
Multiply 46 and 0.1697.
7.8062
What is the product of -6.2 and 2235?
-13857
Calculate -1938*7.
-13566
Multiply 0.2 and 1521.5.
304.3
8442 times -115
-970830
What is the product of -1797 and -26?
46722
Calculate 28923*0.3.
8676.9
Work out 0.26 * -1.595.
-0.4147
Multiply -0.9 and 880093.
-792083.7
2501 * 3
7503
-1*9327
-9327
-7484 * -106
793304
-64114 * 5
-320570
Product of 6115 and 1.
6115
What is the product of 1.93 and -7.23?
-13.9539
-5374 times -3
16122
Work out -1 * -11936.
11936
-8.3151*-0.4
3.32604
-10.67 times -0.05
0.5335
Product of 0.231 and -704.
-162.624
Calculate -108*256.
-27648
-1815 times 44
-79860
What is 11 times -7088?
-77968
3 * 3.3323
9.9969
-32 times 5343.9
-171004.8
Product of 210 and 0.58.
121.8
What is the product of -8075 and -8?
64600
23428.2 times -5
-117141
1.211 times 882
1068.102
-4.5 times 5440.1
-24480.45
-0.21 * -2.096
0.44016
Multiply 0.09 and 9874.
888.66
Multiply 3.9 and -1949.
-7601.1
78.0486 * -2
-156.0972
Work out -2 * 2591.
-5182
Product of -852 and 302.
-257304
Calculate 4*-0.35273.
-1.41092
0.2*-2.557
-0.5114
4158 * -2.1
-8731.8
48 * -10.3
-494.4
Multiply -2.2 and 426.4.
-938.08
Product of -42 and 3000.
-126000
-10166 times 4
-40664
-0.1*-100.8341
10.08341
What is the product of -30927 and 0.06?
-1855.62
What is 0.4475 times 0.2?
0.0895
Product of 82.576 and -1.
-82.576
Product of 33 and 1.662.
54.846
Product of 5 and 7072.
35360
Product of 0 and -9465.
0
Product of -2 and 27571.
-55142
Work out -39420 * 2.
-78840
Calculate 2.6671*103.
274.7113
What is 17 times -0.15142?
-2.57414
Multiply 0.7253 and 0.3.
0.21759
Calculate 72.8*-112.
-8153.6
Calculate 3.96625*-0.1.
-0.396625
Multiply 34 and 1.338.
45.492
Calculate 20.28*-0.5.
-10.14
Calculate -9073*-9.
81657
Work out 184 * 2137.
393208
-483*-6125
2958375
-9*29294
-263646
-0.3 * -67967
20390.1
2.3 times 3941
9064.3
Multiply 0 and 78994.
0
1687291 times 0
0
-0.24404*-3.5
0.85414
What is 20.1 times -2.98?
-59.898
Product of -309 and 2640.
-815760
Work out 29 * -1.3518.
-39.2022
Multiply 2.1 and 298.2.
626.22
-3829048*3
-11487144
Calculate 0.0119*0.003.
0.0000357
Multiply 1 and 0.81975.
0.81975
What is the product of 2.31 and -2106?
-4864.86
Product of 0.701 and -15.7.
-11.0057
Product of 46724 and -4.
-186896
Multiply 0.6 and -0.2174.
-0.13044
What is the product of 163652 and 3?
490956
-0.1057 * 0.6
-0.06342
Product of -1.3 and -595.
773.5
Calculate -10*23082.
-230820
0.2 times 11881
2376.2
Calculate 1601*24.
38424
Work out 7458 * 0.8.
5966.4
-15*5203
-78045
Work out -1.11 * -9014.
10005.54
11249.92*-0.3
-3374.976
-8 times 0.2934
-2.3472
Product of 981.98 and 49.
48117.02
What is -476540 times 2?
-953080
5.97 * 0.1
0.597
-317778 * -0.8
254222.4
What is -536 times 4.23?
-2267.28
Product of -766778 and -0.04.
30671.12
58916*-0.4
-23566.4
Multiply 0 and -10.328.
0
What is -20107 times 0?
0
-939 times -0.0082
7.6998
29.536 * 34
1004.224
What is 23.692 times 14?
331.688
Product of 1.35 and 1.04.
1.404
Calculate -0.5*7.0092.
-3.5046
Product of 0.02397379 and 0.3.
0.007192137
Work out 8.84 * 89.
786.76
What is -11 times -110.944?
1220.384
What is the product of 120.423 and 0.3?
36.1269
What is 0.694 times 115?
79.81
Calculate -0.1543*-14.
2.1602
-53.7 * -3460
185802
Work out -0.023 * -14108.
324.484
What is the product of -1.8 and -0.03641?
0.065538
Product of 689520 and -3.
-2068560
Work out -737 * -43.
31691
0.8143*-37.8
-30.78054
-645 times 200
-129000
-141548*-4
566192
Work out -0.271 * -98.
26.558
0 times -1024
0
Product of 2 and -125621.
-251242
Product of 0.701 and 41.
28.741
What is the product of 0.5 and -228548?
-114274
What is 5 times 10515?
52575
16.67*-0.0263
-0.438421
-2 times 2.05802
-4.11604
0.3 times -1379
-413.7
What is -728 times 2994?
-2179632
Product of -1 and -7.9038.
7.9038
What is the product of 33170 and 4?
132680
What is the product of -0.1 and 479665?
-47966.5
What is -60925 times 0.1?
-6092.5
Multiply -1.4084 and -0.06.
0.084504
What is the product of 18653.5 and 4?
74614
Product of -21 and 14.74.
-309.54
Multiply -49.1 and 29.
-1423.9
What is the product of -4 and 1393197?
-5572788
Work out 0.131524 * 5.
0.65762
Product of 480760 and 0.01.
4807.6
Product of 40664 and 0.
0
Calculate -19*1750.
-33250
What is the product of -0.4 and 55988?
-22395.2
Calculate 111449*-5.
-557245
Calculate -0.1*0.28303.
-0.028303
What is the product of 8 and -34601.4?
-276811.2
-177129 * -0.4
70851.6
What is -4.3359 times -0.1?
0.43359
-0.2 * -0.491
0.0982
Multiply 1586.79 and -0.4.
-634.716
Multiply -0.3 and 10764.
-3229.2
-0.5 * -329128
164564
927 times 2.19
2030.13
Work out -297.6351 * -0.1.
29.76351
What is -0.4 times 75099?
-30039.6
Multiply -1 and -5327.1.
5327.1
Work out 0.5 * 129204.
64602
What is the product of -192.18 and 0.6?
-115.308
What is 55 times -2092?
-115060
What is the product of 9.7 and -6.3?
-61.11
18 times 5985
107730
What is -14.866 times 5?
-74.33
Multiply 5 and 21607.
108035
Product of 45614 and 3.5.
159649
-795*-315
250425
Work out 50239 * 3.
150717
0.145 times -0.21
-0.03045
Product of -7915 and 27.
-213705
Calculate -185.18*-0.11.
20.3698
Calculate 6.44*0.124.
0.79856
-4.27*1.0998
-4.696146
Work out 0 * 577856.
0
2*-77306
-154612
-4244 times 0.531
-2253.564
What is 5.8445 times -0.1?
-0.58445
Product of -3.6098 and 8.
-28.8784
-0.1 * -10.0415
1.00415
Work out 3.8709 * 6.
23.2254
What is -3.9 times 41195?
-160660.5
Multiply 3881.77 and 0.2.
776.354
What is the product of 0 and 100503?
0
What is the product of 0.1 and -0.037757?
-0.0037757
What is 0.2166 times -4.9?
-1.06134
Multiply 3965 and 10.
39650
-142386*-4
569544
503*-30
-15090
Work out 15.334 * 1.3.
19.9342
-64 times 0.731
-46.784
Work out 20 * 11.9.
238
1.56972*1
1.56972
Product of -46960 and 0.1.
-4696
-5492 * 15
-82380
Product of -1376031 and 5.
-6880155
0.178974*-3
-0.536922
Multiply -1130 and -790.
892700
Calculate 1*83912.
83912
Calculate 312.25*-0.1.
-31.225
Work out 53147 * 0.1.
5314.7
What is the product of 5628 and -0.4?
-2251.2
Multiply 100.1 and -63.5.
-6356.35
-533.92*-5
2669.6
Calculate 516.06*5.
2580.3
What is the product of -53 and 0.693?
-36.729
Multiply 32611 and 51.
1663161
-0.632 * 116
-73.312
What is the product of 237.6 and -59?
-14018.4
0*-27350
0
0.37271*-0.3
-0.111813
Calculate -2458*22.
-54076
What is -25.0834 times -1?
25.0834
Calculate -0.5*3435.
-1717.5
What is the product of 0.3 and | {
"pile_set_name": "DM Mathematics"
} |
l*w + 68 + 2081. Is w a prime number?
True
Let a = 3124 - 1097. Is a composite?
False
Let o be (1 + (-34)/(-6))*3657/46. Suppose c = o + 909. Is c prime?
True
Suppose 9*a = -3*a + 92028. Is a a composite number?
False
Let d be (13/(-2))/((-8)/16). Suppose 2*r - d = -7. Is -3 + r + 1 - -21 a prime number?
False
Suppose 2*m - 3*y - 23 = 0, -y - 6 = m - 5. Let q be m + -6389*(4 + -5). Is (-6)/33 + q/11 a composite number?
True
Let c(p) = -p**3 + 15*p**2 + 2*p - 16. Let h be c(18). Let g = 1919 + h. Is g a composite number?
False
Suppose 37 = 3*b + 13. Let s be b - 11 - -20*22. Suppose s = a + 4*y, 3*a - 1778 + 467 = 4*y. Is a a composite number?
True
Suppose 31*q - 30*q = 4619. Suppose -4*a + h + 2*h + q = 0, -2*h - 10 = 0. Is a a prime number?
True
Suppose -y + 847 = x, 6*x - 4259 = x + 3*y. Is (-5 - -8) + x/1 a composite number?
False
Let p(h) = 287*h**3 - 20*h**2 - 5*h - 1. Is p(5) a composite number?
True
Let h(m) = -43*m**3 - 5*m**2 - 7*m - 12. Is h(-5) composite?
False
Suppose c + 4*c - 5*q = 16685, 6674 = 2*c - 5*q. Is c a prime number?
False
Let m(x) = x**3 + 5*x**2 - 8*x - 8. Let h be m(-6). Let l = h + -4. Suppose -5*b + 2*n + 275 = 0, 5*n + 78 = -l*b + b. Is b a composite number?
False
Let w(t) = -166*t - 303. Is w(-11) a prime number?
True
Suppose -5*p + 3159 = 4*y, 2064 + 1860 = 5*y - 2*p. Let r = y + -297. Is r prime?
False
Let c = -79 - -73. Let l(d) = 95*d**2 - 7*d - 5. Is l(c) composite?
False
Is 3215/90*717 + (-4)/(-24) a prime number?
False
Let k(r) = -640*r + 22. Let t be k(-7). Is t/(-4)*(24/(-3) + 6) a composite number?
False
Let z = -2590 - -4259. Is z composite?
False
Let k(u) = -42*u + 1. Let d(c) = c - 1. Let o be d(0). Is k(o) a composite number?
False
Let g = 9710 + -6529. Is g a composite number?
False
Let x(h) be the second derivative of 33*h**3/2 - 2*h**2 - 18*h. Let u be 11/11 - (0 + -2). Is x(u) prime?
True
Let p = 99663 - 57886. Is p prime?
True
Is 7/56*4516*26 a prime number?
False
Let u be 2*2 - 132*-6. Suppose 3*t = -t + u. Is t composite?
False
Let y(x) = x**2 - 15*x - 4. Let q be y(10). Let z = -27 - q. Suppose z = 5*u - 83. Is u a composite number?
True
Suppose -230191 = 78*u - 91*u. Is u composite?
False
Suppose 4*t - 2*i + 0*i + 38 = 0, 0 = -4*t - 4*i - 20. Is -6*(516/t + 1) prime?
False
Let j = -10 + 11. Let g be 1/j + (-1 - -2). Suppose -w - g*p + 0*p + 327 = 0, w = 3*p + 347. Is w a composite number?
True
Let u(r) be the second derivative of 5*r**6/72 - r**5/120 - r**3/2 + 4*r. Let h(t) be the second derivative of u(t). Is h(-1) prime?
False
Suppose 101*a - 113*a = -55140. Is a a prime number?
False
Suppose 3*h + 7 = -2*d - 4, 5*h - 12 = d. Let y be (16/12)/(2/(-6)). Is (y - d) + -3 + 251 a prime number?
True
Is (-3)/((-48)/(-108616)*(-3)/6) a prime number?
True
Let s be (-3 + 15/4)*4. Suppose 5*r + s*r = 13384. Is r a prime number?
False
Let k = 100 - 35. Let x = k - -48. Is x a composite number?
False
Suppose 4*s = -3*b - 8742 + 28910, 25229 = 5*s - b. Is s prime?
False
Let l = -1 + 6. Suppose l*v + 60 = d, 60 = d + v + 2*v. Suppose -65 = -w + 4*k, 5*k = w - 0*k - d. Is w a composite number?
True
Let b(k) = -k**3 + 9*k**2 - 16*k + 6. Let j be b(7). Let x(v) = -4*v**3 - v - 11. Is x(j) a composite number?
True
Let u(z) = -z**3 - 6*z**2 + z - 5. Let d = -15 + 21. Suppose d*r + 5 + 43 = 0. Is u(r) composite?
True
Let p(b) be the second derivative of b**3/6 + 6*b**2 + 4*b. Let o be p(-7). Suppose -2*q - o*f + 75 = 0, -5*q + 4*f + 59 = -112. Is q a prime number?
False
Suppose 3*z = 2*o - 577, 18*o + 4*z - 1477 = 13*o. Is o a prime number?
True
Let r(s) = -13*s + 4 + 17 + 17*s**2 + 9*s. Is r(-14) prime?
False
Let r be 5/(-2)*12/(-10). Suppose -2*j - 1076 = -4*y, -y - r*j = -2*j - 275. Suppose 4*p - 1156 = 2*u, y = p + u + 3*u. Is p a prime number?
False
Let f(l) = l + 1. Let c(u) = -10*u - 2845. Let j(i) = -c(i) - 6*f(i). Is j(0) composite?
True
Suppose -8380 = -4*s - 2*c - 2*c, 2*s - 4186 = -3*c. Is s a composite number?
False
Let r be (91/(-3) - 1/(-3))*-3. Let q = 2347 + r. Is q a composite number?
False
Let y be (-1 - 2)*(3 - (-22)/(-6)). Suppose 445 = 3*d + y*d. Is d a prime number?
True
Suppose 4*o - 4*k - 16 = 0, 5*k = -4*o + k. Suppose f = o*v - v - 39, -5*f = 5*v + 155. Let h = f - -70. Is h prime?
False
Suppose 3*b = 2*v - 2805, 3720 = -2*b - 2*b - 4*v. Let z be (1 - b/9)*192. Is z/80 + (-2)/10 a composite number?
False
Let m(w) = 50*w**3 - 4*w**2 - 5*w + 15. Is m(2) a composite number?
False
Let o = -56844 - -82775. Is o composite?
False
Let r be 18/(-63) - (-12478)/14. Suppose b + 892 = v, b + r = v - b. Is v a composite number?
True
Let l(i) = 7*i**2 + 21*i + 8. Let o be l(-8). Suppose 4*c = u + 5*c - o, -5*u + 5*c = -1490. Is u prime?
True
Suppose 70*h - 76*h = -117402. Is h a composite number?
True
Let p(r) = -65*r**3 + r**2 - 1. Suppose 5*l = 35 - 15. Suppose -l*w + 0 = 4. Is p(w) prime?
False
Suppose 4*y + 3 = 5*y. Let g(q) be the first derivative of 11*q**2/2 + q + 2. Is g(y) a composite number?
True
Suppose -o - 18 = -3*o - 4*y, o = 5*y - 12. Suppose o*j + 528 = 2001. Suppose n - 2*n = -j. Is n a prime number?
True
Let h(a) = -a**2 - 2*a + 573. Let u(q) = q**3 - 4*q**2 + 3*q. Let b be u(3). Let i be h(b). Suppose 4*o - o = i. Is o composite?
False
Is ((-4)/12)/(12/(-193716)) composite?
False
Let q = -5 + 9. Suppose 3*y = q*y - 3. Suppose -4*j - 5*c + y*c + 186 = 0, 3*j = -5*c + 136. Is j composite?
False
Let f(j) = -3713*j - 848. Is f(-5) composite?
True
Is 1035460/140 + (-6)/(-7) prime?
False
Let s = 42 + -28. Let y be s/(3/(-3)*-2). Suppose 126 = k + y. Is k composite?
True
Suppose -3*h = -5*h + 84. Suppose 508 = h*f - 38*f. Is f prime?
True
Let i = 1 + -3. Let r be i + 3 + (-9 - -2). Is 4/r + 1599/9 prime?
False
Suppose 9*z - 4*z = 5*j + 178785, 5*z = -4*j + 178803. Is z composite?
False
Suppose -2*n = -f + 1, -4*f = -3*f + 3*n - 21. Suppose -3*o + 9 = -f. Let s = o - 2. Is s a composite number?
True
Let y = 646 + -235. Suppose n - 1469 = -5*g - y, 0 = -g + 5*n + 196. Is g a prime number?
True
Is (-1)/(44556/(-22276) - -2) a composite number?
False
Let q(g) = -3*g**3 + 24*g**2 + 26*g - 10. Let x(u) = -4*u**3 + 23*u**2 + 25*u - 10. Let b(r) = -5*q(r) + 4*x(r). Is b(-27) a prime number?
False
Suppose 1704 = 3*g - 2*i - i, g - 2*i - 568 = 0. Let q be (-3)/(3 + (-1698)/g). Is (-3 + 0)*q/12 composite?
False
Is (4413 - 22)/(-1 - -2) prime?
True
Let l = -1 + -5. Let v = 54 - 44. Is l/10 + 536/v a composite number?
False
Let q(t) = -12702*t**3 - 5*t - 4. Is q(-1) a composite number?
False
Let d(m) = 758*m - 3. Let q(t) = 4*t + 26. Let n be q(-6). Is d(n) a prime number?
False
Let a(w) = -27*w**2 + 10*w + 11. Let d(p) = p**2 + p + 1. Let v(x) = -2*a(x) + 18*d(x). Let r be v(-6). Is r/16 + 2/4 composite?
False
Suppose 3*y - 15069 = -3012. Is (y + 1)/5 + 3 a composite number?
True
Let y be -1 - -3 - ((-10)/(-2) - 1756). Let t = 5300 - y. Is t a composite number?
False
Let x(s) be the second derivative of s**6/120 + 7*s**5/60 - s**4/6 + 11*s**3/6 - 7*s**2/2 - 3*s. Let p(k) be the first derivative of x(k). Is p(-6) prime?
True
Suppose -5*m = -14*m + 5517. Suppose 33*u - 34*u + m = 0. Is u composite?
False
Let r = 15680 - 9507. Is r prime?
True
Suppose -4*f + 208 = 2*c, 0 = -5*f - c + 119 + 144. Is f a prime number?
True
Let k = -9595 + 18494. Is k prime?
False
Suppose -l = 2*l - 18. Let h(k) = 6*k**3 + 12*k**2 - 14*k - 1. Is h(l) prime?
False
Let n be 8/(-3)*(-9)/(-3). Let q be 2/(-3) - n/(-6). Is q/(-5) + (-168)/(-5) a composite number?
True
Let p be 7*((-32)/(-14) - 2). Suppose -3*z + 4475 = p*z. Is z composite?
True
Let s = 259 + -71. Is s + (-5)/(15/9) a composite number?
True
Suppose 2*p + 10325 = 115771. Is p composite?
True
Let h(t) be the first derivative of 29*t**3/3 - 6*t**2 - t - 2. Is h(8) composite?
False
Let n(p) be the first derivative of -p**2 - 2*p + 7. Let f be n(-9). Is f/(-32) - (-262)/4 prime?
False
Let k(b) = b**2 + 9*b - 13. Let z be k(-10). Let x be (2/(-4))/(z/(-6)). Is (2/1 - -162) + x a composite number?
False
Suppose 0 = -4*q - 3*i + 16711, 0 = -q + 4*i + 6102 - 1929. Is q prime?
True
Let c be (18/7)/(2/14). Suppose -13*s - 25 = -c*s. Suppose y + 3*d + 0*d = 25, s*y - d - 61 = 0. Is y a composite number?
False
Suppose 3*w + 0*s - 18 = -3*s, 0 = -5*s + 5. Let j(x) = | {
"pile_set_name": "DM Mathematics"
} |
igit of 35200536?
2
What is the ten millions digit of 482926113?
8
What is the tens digit of 4318631493?
9
What is the hundreds digit of 269838349?
3
What is the ten millions digit of 157806697?
5
What is the ten thousands digit of 1224397414?
9
What is the ten thousands digit of 14813726?
1
What is the hundred thousands digit of 60775488?
7
What is the billions digit of 2363946864?
2
What is the hundreds digit of 1492722020?
0
What is the ten thousands digit of 2789367292?
6
What is the thousands digit of 210268718?
8
What is the thousands digit of 178874584?
4
What is the tens digit of 65129141?
4
What is the hundreds digit of 535681540?
5
What is the hundreds digit of 342927031?
0
What is the hundred millions digit of 571999968?
5
What is the thousands digit of 47500974?
0
What is the thousands digit of 1372260275?
0
What is the billions digit of 3170425454?
3
What is the units digit of 116234856?
6
What is the millions digit of 12582041?
2
What is the units digit of 1587328622?
2
What is the units digit of 1059602329?
9
What is the billions digit of 4583738020?
4
What is the hundred thousands digit of 376740932?
7
What is the tens digit of 1121113683?
8
What is the hundred thousands digit of 63363060?
3
What is the units digit of 359229971?
1
What is the hundred thousands digit of 62884749?
8
What is the units digit of 309766652?
2
What is the ten thousands digit of 5232067?
3
What is the thousands digit of 23029769?
9
What is the millions digit of 286462084?
6
What is the ten millions digit of 509302685?
0
What is the tens digit of 170064512?
1
What is the billions digit of 5831715664?
5
What is the hundreds digit of 262264425?
4
What is the ten millions digit of 74407674?
7
What is the tens digit of 15044087?
8
What is the ten millions digit of 1470858460?
7
What is the tens digit of 295833001?
0
What is the hundreds digit of 52390137?
1
What is the millions digit of 36268019?
6
What is the hundreds digit of 51489109?
1
What is the units digit of 1659615159?
9
What is the units digit of 127650898?
8
What is the ten thousands digit of 309739003?
3
What is the ten thousands digit of 918510455?
1
What is the units digit of 48765700?
0
What is the billions digit of 4854885244?
4
What is the thousands digit of 92004470?
4
What is the hundred millions digit of 2975694703?
9
What is the hundred thousands digit of 118320790?
3
What is the ten thousands digit of 7152469314?
6
What is the hundred thousands digit of 117249981?
2
What is the hundred thousands digit of 5879842346?
8
What is the tens digit of 207882217?
1
What is the tens digit of 58102631?
3
What is the units digit of 1720478630?
0
What is the units digit of 85057997?
7
What is the hundred thousands digit of 812656291?
6
What is the hundred thousands digit of 4830784?
8
What is the millions digit of 32659938?
2
What is the hundreds digit of 1764193391?
3
What is the hundred millions digit of 179633580?
1
What is the ten millions digit of 604235008?
0
What is the units digit of 4123013720?
0
What is the tens digit of 32197739?
3
What is the hundred millions digit of 554711063?
5
What is the hundred thousands digit of 40208587?
2
What is the hundred thousands digit of 98163475?
1
What is the hundred thousands digit of 110502172?
5
What is the thousands digit of 12589202?
9
What is the hundred millions digit of 159200132?
1
What is the millions digit of 99388162?
9
What is the thousands digit of 725306797?
6
What is the units digit of 134483508?
8
What is the thousands digit of 6816224999?
4
What is the millions digit of 670151822?
0
What is the units digit of 114295597?
7
What is the hundreds digit of 184134416?
4
What is the units digit of 119708734?
4
What is the hundred millions digit of 1567334149?
5
What is the units digit of 1412846254?
4
What is the tens digit of 95354081?
8
What is the hundred thousands digit of 170447530?
4
What is the tens digit of 109120747?
4
What is the ten millions digit of 515535074?
1
What is the hundreds digit of 893890978?
9
What is the hundreds digit of 29732747?
7
What is the hundreds digit of 66368277?
2
What is the hundred thousands digit of 270705304?
7
What is the hundreds digit of 1926580443?
4
What is the ten thousands digit of 100564989?
6
What is the millions digit of 7287332537?
7
What is the ten millions digit of 43259253?
4
What is the units digit of 575636905?
5
What is the tens digit of 177960767?
6
What is the ten millions digit of 2162497592?
6
What is the tens digit of 1234398140?
4
What is the hundreds digit of 859384535?
5
What is the tens digit of 100698150?
5
What is the thousands digit of 82595709?
5
What is the millions digit of 4715813?
4
What is the hundred thousands digit of 228902741?
9
What is the ten thousands digit of 31060694?
6
What is the hundreds digit of 2846873806?
8
What is the units digit of 30890631?
1
What is the ten millions digit of 512677724?
1
What is the units digit of 151220010?
0
What is the billions digit of 5671155756?
5
What is the hundred thousands digit of 1416096153?
0
What is the hundred thousands digit of 110750192?
7
What is the ten thousands digit of 217365086?
6
What is the ten thousands digit of 96036453?
3
What is the ten millions digit of 38377554?
3
What is the ten thousands digit of 261024612?
2
What is the units digit of 237973569?
9
What is the units digit of 816372001?
1
What is the units digit of 4003404?
4
What is the thousands digit of 32677275?
7
What is the hundred millions digit of 878149833?
8
What is the ten millions digit of 1689770535?
8
What is the ten thousands digit of 59273113?
7
What is the millions digit of 39532838?
9
What is the ten millions digit of 464683437?
6
What is the units digit of 562775074?
4
What is the units digit of 16146419?
9
What is the ten thousands digit of 84292358?
9
What is the units digit of 2312040?
0
What is the hundred thousands digit of 6730568?
7
What is the units digit of 3744234257?
7
What is the hundreds digit of 4145264227?
2
What is the thousands digit of 55576099?
6
What is the ten thousands digit of 2869978605?
7
What is the tens digit of 3570979021?
2
What is the thousands digit of 16404645?
4
What is the units digit of 35636449?
9
What is the ten thousands digit of 237297380?
9
What is the millions digit of 27171999?
7
What is the hundred millions digit of 294416854?
2
What is the millions digit of 4416453283?
6
What is the ten millions digit of 2878579062?
7
What is the ten millions digit of 134089521?
3
What is the hundred thousands digit of 34104650?
1
What is the hundred thousands digit of 46821333?
8
What is the hundred thousands digit of 3035431176?
4
What is the ten millions digit of 277537122?
7
What is the units digit of 224678097?
7
What is the hundreds digit of 254720673?
6
What is the units digit of 1786136591?
1
What is the millions digit of 18051162?
8
What is the ten thousands digit of 390072385?
7
What is the hundred thousands digit of 358217383?
2
What is the hundreds digit of 295792421?
4
What is the ten millions digit of 672089366?
7
What is the tens digit of 34882881?
8
What is the ten millions digit of 9441978101?
4
What is the ten thousands digit of 278996868?
9
What is the ten millions digit of 141456585?
4
What is the ten millions digit of 220782275?
2
What is the tens digit of 540627958?
5
What is the ten millions digit of 1015256722?
1
What is the thousands digit of 1603642310?
2
What is the tens digit of 89652764?
6
What is the ten thousands digit of 25199195?
9
What is the units digit of 39793080?
0
What is the billions digit of 1810280294?
1
What is the tens digit of 147584132?
3
What is the thousands digit of 5922591?
2
What is the thousands digit of 5236792675?
2
What is the hundreds digit of 2120325268?
2
What is the tens digit of 263958831?
3
What is the hundreds digit of 34911023?
0
What is the hundreds digit of 1433638726?
7
What is the hundreds digit of 2601727344?
3
What is the thousands digit of 10624391?
4
What is the hundred millions digit of 222144043?
2
What is the hundreds digit of 112640567?
5
What is the tens digit of 334371267?
6
What is the units digit of 1992156923?
3
What is the hundred thousands digit of 992539953?
5
What is the hundred thousands digit of 31588351?
5
What is the | {
"pile_set_name": "DM Mathematics"
} |
Let h = m - 53. Suppose -37 = t - h. Is t composite?
False
Let w = 568 + 1509. Is w a composite number?
True
Let n(q) = 2*q**2 + 4*q - 5. Let t be n(5). Suppose l - t = 20. Is l composite?
True
Let c = 1543 - 616. Let t = c - 374. Is t composite?
True
Let t be 1*2 - (-107 - -4). Suppose 0 = -5*c + t + 460. Suppose c = 5*z - 72. Is z prime?
True
Suppose r = -3*y + 20, -r + 3*y = 2*r. Suppose 4*s - 2*k + 0*k = 46, 32 = 2*s - 4*k. Let o = r + s. Is o a prime number?
False
Let a(s) = -s**3 + 6*s**2 - s + 1. Let o be a(6). Let x = -14 - o. Let w(f) = f**2 + 7*f + 3. Is w(x) a composite number?
True
Let m be 2/1*(-5)/(-5). Let n(x) = 19*x**2 - 3*x - 3. Let c(d) = d**2 + d + 1. Let z(a) = m*c(a) + n(a). Is z(-1) a composite number?
True
Suppose 0 = 11*t - 10*t - 3205. Is t composite?
True
Suppose -3*p + 8 = p. Suppose 3 = p*r - 5. Suppose 4*g + 11 = -9, -c + 13 = r*g. Is c a prime number?
False
Suppose 2*s - 9003 = -5*b, -4*b - 5408 = -7*b + 5*s. Is b prime?
True
Let v be (-1)/(-3 + 2) + 3. Let i(b) = b - 4. Let o be i(7). Suppose 0 = -3*l - o*q + 165, v*q = -l + 2*l - 45. Is l prime?
True
Suppose 3*a = 9, 4*g + 2*a = -2*a + 80. Suppose -p + 4*n + g = 0, -4*p + n + 82 - 29 = 0. Is p composite?
False
Let s(o) = o**3 + 6*o**2 + 5*o + 6. Let c be s(-5). Suppose -m + c*m = 295. Is m composite?
False
Suppose -4*f + 4*u = 4, -2*f = f - u + 1. Suppose -2*y - 320 = -5*w, -5*y = -f*w + 3*w - 192. Suppose 3*h - w = -1. Is h composite?
True
Suppose -5*w = -2*q - 1 + 11, -w - 5*q + 25 = 0. Suppose w*d = 4*d - 12. Is d prime?
True
Is (1/3)/((-4)/(-40668)) composite?
False
Let w = 283 - 160. Is w a prime number?
False
Let c = 21 - 29. Let h(a) = -4*a**2 - 8*a - 1. Let s(i) = -11*i**2 - 24*i - 4. Let m(j) = 8*h(j) - 3*s(j). Is m(c) a prime number?
False
Let w(p) = -2*p - 4*p**3 + p + 7 - 19 + 5*p**2 + 0*p**3. Let f(y) = 3*y**3 - 4*y**2 + y + 11. Let i(s) = 5*f(s) + 4*w(s). Is i(-5) a composite number?
False
Let w be 2/9 - (-4314)/27. Let y = w - 69. Is y prime?
False
Let m(t) = 91*t. Suppose 3 = 5*y - 2*w, -4*w + 7 = -y + 4*y. Is m(y) a composite number?
True
Suppose -1511 = -2*z + z. Is z a prime number?
True
Let c(y) = -119*y**3 - 2*y**2 + 1. Let m be c(-1). Suppose -127 = -3*j + 125. Let k = m - j. Is k composite?
True
Let w(k) = -273*k + 41. Is w(-9) a prime number?
False
Let a = -1 - -1. Suppose -y + a + 3 = 0. Suppose -v - 3*v = -3*p - 449, y*v + 4*p = 343. Is v a composite number?
False
Let r(i) = i + 12. Let d be r(-10). Suppose -d*j + 6 = j. Is j a prime number?
True
Let t(v) = -v**3 + v**2 + v + 1. Let y be t(0). Let r = 14 - y. Is r a prime number?
True
Suppose -q = -3*i - 0*q + 381, -3*i + 381 = q. Is i a prime number?
True
Suppose -4*q - u + 128 = -3*u, 3*q = 3*u + 102. Suppose 5*v - 141 = 4*c, 5*v + 4*c = q + 79. Is v composite?
True
Let g be 2/(1 - (-2 + 2)). Let f(c) = -c**2 + 1. Let n be f(2). Is (67/g)/(n/(-6)) composite?
False
Let s = -7 + 8. Let q(i) = 64*i**2 + i. Is q(s) composite?
True
Let q(j) = 18*j**2 - 2*j + 19. Is q(7) a composite number?
False
Let n = -9 + 3. Let f(z) = z**3 + 6*z**2 + 2. Let h be f(n). Is (7/2)/(h/4) a composite number?
False
Suppose p + 37 = 4*p + l, -p = 3*l + 1. Suppose 13*a = p*a - 13. Is a composite?
False
Suppose -3*r = -0 - 12. Is -10 + 12 + 1*r prime?
False
Suppose 0 = -0*q + 3*q - 9. Is q/(-9) - (-280)/3 a composite number?
True
Is 253*12 + -1 + (-2)/(-1) a composite number?
False
Suppose -14525 = -13*v + 8316. Is v composite?
True
Is 14/(-49) + (-48029)/(-7) composite?
True
Is 4/(-14) + 78030/126 a composite number?
False
Let b(o) = 2*o - 9. Let j be b(7). Let p(f) = 7*f**3 - j*f**3 + 1 + 2*f - 2*f**2 + 1. Is p(2) composite?
True
Let i(u) = 16*u**2 + 5*u + 2. Is i(-7) a composite number?
False
Let i = 2 - 2. Let l = 0 - i. Suppose o + 6 - 27 = 4*d, -3*d = l. Is o prime?
False
Let q = -11 + 13. Is (-3)/((-6)/4244*q) a composite number?
False
Let x(a) = a**3 + 12*a**2 + 8*a + 1. Is x(-10) a composite number?
True
Let a(p) = 0 - 3 - 4*p**2 - 3*p + 5*p**2. Let x be 172/20 - 6/10. Is a(x) composite?
False
Suppose -a + s + 2720 = 0, -5*a + 1531 = s - 12075. Is a a prime number?
False
Let k(w) = -w + 7. Let t be k(9). Is 8 - (t - -1*3) composite?
False
Let r = 154 + -44. Suppose -o + 4*x - x = -67, 2*o = -2*x + 150. Let b = r - o. Is b composite?
False
Let s(v) = v**2 - 6*v - 12. Is s(13) composite?
False
Let m = 1284 - 469. Is m composite?
True
Suppose 2*x - 6*x = -8. Let c = x - -9. Let n = c + 12. Is n a prime number?
True
Suppose 0 = -5*g + q + 2758, 849 = 2*g - 2*q - 259. Is g composite?
True
Let n(y) be the third derivative of -y**5/60 - y**4/24 + y**3 + 5*y**2. Suppose 2*r = 3*r. Is n(r) composite?
True
Let a be 3108/4 + 2/2. Let f = a + -527. Is f a composite number?
False
Let s = 25 - -13. Suppose 11*d = 15*d - 340. Let i = d - s. Is i prime?
True
Suppose -2*h - 12 = -6*h. Suppose -2*m + 1212 = 4*n - 4*m, -4*n + 1214 = -h*m. Is n a composite number?
True
Let l(s) = -26*s - 5. Let u be l(-4). Suppose -5*r - 91 - u = 0. Let d = -17 - r. Is d a composite number?
True
Suppose 2*p + 142 = 16. Let o = 98 + p. Is o prime?
False
Let z(a) = -a**2 + 35*a**3 + 5*a**3 - a**2. Let y be z(2). Suppose -y = 4*k - 820. Is k prime?
True
Let v(h) = h - 1. Let j(r) = 55*r - 66. Let l(d) = 5*j(d) - 330*v(d). Let f be (-1)/(-2)*2/(-1). Is l(f) a composite number?
True
Let w = 10 - 5. Suppose w*p - 225 = 2540. Is p prime?
False
Suppose 0 = 5*w + 2*z - 23 - 12, 0 = -2*w - 2*z + 20. Suppose t - p - 367 = 0, -4*p - 1843 = -w*t - p. Is t prime?
False
Let i = 15 - 8. Suppose o = -2*h + 235, i*o - 3*o = 3*h - 369. Is h a composite number?
True
Suppose 5*p - 361 = 5*u + 964, 2*p + 3*u - 530 = 0. Is p a composite number?
True
Let o(u) = 4*u**2 + 3*u - 1. Is o(2) composite?
True
Let x(j) = -j**3 - j + 1. Let m be x(0). Let w(z) = 2*z - 3*z - m - 15*z. Is w(-2) a prime number?
True
Is (-2)/(4 - (-23922)/(-5979)) prime?
True
Suppose j - 5 = 51. Suppose -2*h + 334 - j = 0. Is h a prime number?
True
Suppose -4*d = 6 + 14. Let o = 2 + d. Is o/15 + 76/5 a composite number?
True
Suppose -2*b + 324 = 2*y, -320 = -2*b - y + 3*y. Is b a composite number?
True
Let f = 5 + -2. Suppose -3380 = f*p - 8*p. Let o = p - 453. Is o a prime number?
True
Let w = -296 + 589. Is w a prime number?
True
Let s = -1165 + 2836. Is s a prime number?
False
Suppose 0 = -h - 3 + 2. Is (124/(-12))/(h/6) a composite number?
True
Let v(t) = t**3 + 9*t**2 + 3. Let r be v(-10). Is (1 + -2)/(1/r) prime?
True
Suppose -2*c + 16 + 26 = 0. Suppose -2*l + 215 = c. Is l a composite number?
False
Let h(s) = 3*s**2 + 3*s + 1. Let a be h(3). Let d = 59 - a. Is d composite?
True
Let y(w) = 22*w**3 + w**2 - 4*w + 3. Let h be y(2). Suppose 0*a = -5*a + h. Is a prime?
False
Suppose 4*h + 1320 - 197 = 5*p, 3*p = -h + 684. Suppose n + 0*n = 3. Suppose 0 = -5*g + 15, p = 3*d + n*g - 49. Is d a composite number?
False
Let h be (2/(-5))/((-1)/5). Suppose f + 6 = h*f. Suppose i + 0*i = -s + 23, 0 = 2*i + f. Is s composite?
True
Is (8/(-6))/((-6)/639) a prime number?
False
Suppose -4*t + 3*g = 2*g - 18, -t = -g - 3. Suppose 7*a - 110 = -t*x + 2*a, -5*x - a = -98. Is x a composite number?
False
Let l = 1060 - 507. Is l a prime number?
False
Suppose 3*d - 103 = 5*d - 3*b, 2*d + 85 = -3*b. Let z be 460/7 - 4/(-14). Let r = z + d. Is r a prime number?
True
Let w be 6 - 5 - (-3 + 0). Suppose w*b - 4 = 12. Is (-1)/2 - (-62)/b prime?
False
Let n be 1/2 + (-103)/(-2). Let s = -27 + n. Is s a composite number?
True
Is ((-10)/8)/(4 - (-3987)/(-996)) a prime number?
False
Let h(s) = 2*s**2 + 6*s + 2. Is h(-4) a composite number?
True
Let z = -2837 - -5664. Is z prime?
False
Suppose 4*k - 5815 = -k. Is k composite?
False
Is (11 + -222)/(2 - 11/5) prime?
False
Is 376 + (-3 + 5)/2 prime?
False
Let w(v) = -8*v**3 + 2*v**2 + 4*v + 2. Let x be w(-5). Suppose h - 5*h - x = 0. Is 3/((-9)/h) - -3 a prime number?
True
Suppose 3*j - 21 = 114. Let q = 80 - j. Is q composite?
True
Suppose -15*o + 41723 = -4*o. Is o a prime number?
True
Let a(n) = 2*n**2 + 26*n - 3. Let m be a(-13). Let t(w) = 3*w. Let d be t(-1). Is 56 - (0 + d)/m a composite number?
True
Is (-1252)/(-8)*(9 + 1) a composite number?
True
Is 382/(-5*(-2)/5) prime?
True
Let k(q) = 13*q**3 - 2*q**2 + 4*q - 4. Is k(5) composite?
True
Let y = -4 + 13. I | {
"pile_set_name": "DM Mathematics"
} |
give d.
105
Express 37 - 17 + 62*t - 19 as x*t + y and give x.
62
Express (5*c - 25*c + 10*c)*(2 + 0 - 1)*((-3 + 2 + 3)*(c + 0 + 0) + 4 - 4 + c) as q*c + h + z*c**2 and give z.
-30
Rearrange (-2 + 2 + 2*b)*(8 - 5 - 330*b - 229*b - 118*b) to w + h*b + t*b**2 and give t.
-1354
Rearrange -25*a**4 + 13 - 12 - 28*a**4 + 80*a**4 - 25*a**4 - 5*a to k*a**4 + d*a + x*a**2 + j*a**3 + u and give u.
1
Express (5 + 3 - 2)*(-4*m**2 + 2*m**2 - 5*m**2) + 16*m**2 - 13*m**2 + 23*m**2 in the form r*m + f + z*m**2 and give r.
0
Express -2*j**2 - 4*j**2 + 3*j**2 + 0*j + 2*j**2 + 0*j - 2*j**2 - j**2 + 7*j**2 + (-1 + 2 - 2)*(-j**2 + j**2 - 2*j**2) in the form a*j + o*j**2 + f and give f.
0
Express 3*h**2 + 14*h - 14*h + (0 - 2 + 0)*(-2*h**2 + 0 + h + 0) + (h - 7*h - 4*h)*(-2 - 2*h + 2) in the form r*h + n*h**2 + o and give r.
-2
Rearrange (-1 - 1 + 1)*(0*n - 2*n + n) + (-1 + 1 - 2*n + (3 - 3 - 1)*(4*n + n - 2*n) - 9*n + 48 - 48)*(3 - 11 + 7) to the form r + m*n and give m.
15
Rearrange 170*x**3 - 2 - x + 168*x**3 - 21*x**2 - 493*x**3 + 162*x**3 to the form t + k*x**2 + v*x + l*x**3 and give v.
-1
Rearrange -167 - 326*y - 1653*y + 337 - 170 to the form j*y + m and give j.
-1979
Rearrange -2 + 4*q**3 + 839*q + 21*q**3 + q**2 - 840*q + 2*q + q**3 - 2*q + (-5*q + 3*q - 5*q)*(-q - q**2 + q) to the form s*q**2 + y + t*q + c*q**3 and give c.
33
Express -145*y**2 + 3*y**3 + 146*y**2 - y + 0*y**3 in the form v + g*y + d*y**2 + h*y**3 and give h.
3
Express 403*i + 754*i + 158*i in the form w + o*i and give o.
1315
Express 8*t**2 - 7*t**2 - 6 + t**3 + 7*t**4 + 4*t**2 - 10*t**2 + 6*t**2 as h*t + j*t**2 + o + p*t**4 + y*t**3 and give o.
-6
Rearrange -24 - 21 - 2*t**2 + 57 - 3*t**3 + t**3 to r + k*t + o*t**3 + f*t**2 and give r.
12
Rearrange -2*h**2 - h - 39*h + h**3 + 48 - 48 to o*h**3 + r + y*h + j*h**2 and give o.
1
Rearrange -22*m + 14*m**2 - 55*m**2 + 21*m**2 + 21*m**2 + 9 to j + r*m + l*m**2 and give r.
-22
Express (-2*n - 3*n + 3*n)*(3 - 5 - 1) - n + 2*n + 0*n - 4*n + 6*n + 9 - 1 as l + k*n and give l.
8
Express -x**2 - 4*x**3 + x**3 + x**3 - 5*x + 6 - 2 as n*x**3 + c*x + g*x**2 + s and give g.
-1
Rearrange -134*z + 240*z + 242*z + 600*z + 94*z to o*z + s and give o.
1042
Rearrange 328*t**2 + 194*t**2 - 314*t**2 + 353*t**2 to the form k + i*t**2 + l*t and give i.
561
Rearrange 0*d + d**4 + d - 2 + 3*d**2 + 270*d**3 - 274*d**3 to s*d + i*d**4 + r + k*d**2 + b*d**3 and give k.
3
Rearrange 3*m - 79*m**2 + 4 + 33 + 77*m**2 to the form f*m + r + b*m**2 and give f.
3
Express 15*u**4 - 9*u**4 - 3*u**3 + 6*u**4 - 2 in the form y*u**2 + b + o*u + r*u**4 + g*u**3 and give r.
12
Rearrange 5*b**3 - 114*b**2 + 227*b**2 - 113*b**2 - 15 - 3*b**4 to the form c*b**4 + n*b**2 + g*b**3 + f*b + w and give g.
5
Rearrange -3*d**3 + 14*d**2 + 11*d**2 - 31*d**2 - 2 to the form c*d**2 + n*d + t*d**3 + y and give t.
-3
Express (0 + 0 + 1)*(-3*k**4 + k**4 + 4*k**4) + 4*k**4 - 2*k**4 + 0*k**4 - 76*k**4 - 8*k**4 - 74*k**4 as m*k**2 + r + g*k + a*k**3 + h*k**4 and give h.
-154
Express -30*m**2 + 4 + 10 - 356*m**2 - 2 - 11 in the form w*m + h + b*m**2 and give h.
1
Rearrange 67*o**2 - 5 + 31*o**3 - 110*o**2 - 28*o**3 to g*o + l*o**3 + p + t*o**2 and give p.
-5
Express (4*d**2 + 3 - 3 + 4*d**2 - d**2 - d**2 + (4*d**2 - d**2 - 4*d**2)*(0 - 2 + 0))*(-5*d + 11*d + 2 + 2*d) in the form f + z*d + q*d**3 + u*d**2 and give u.
16
Rearrange -2 + 4*u**2 + 2 - 2 - u - 6 - 2*u**2 + 5*u**3 to j*u**3 + r*u + l + v*u**2 and give l.
-8
Rearrange x**3 + 17*x - 10*x**2 - 2*x**4 + 15*x - 40*x + 10*x to the form d*x + n*x**4 + q*x**2 + f*x**3 + m and give f.
1
Express 5*v**4 - 2*v**4 + 2*v**4 + (1 + 4 - 3)*(7*v - 5 + 5)*(v**3 + v**3 + 0*v**3) in the form j + g*v**4 + q*v + h*v**3 + y*v**2 and give g.
33
Express -8*c**2 - 3*c**2 + 9*c + 3 + 16*c**2 in the form x + w*c**2 + v*c and give x.
3
Express (148 - 37 - 37)*((-3*h - 3*h + 5*h)*(-1 - 1 + 3) + 2 + 2*h - 2) + 4*h + 4*h - 7*h as j*h + x and give j.
75
Express -14 + 14 - 99*g + 38*g in the form b*g + i and give b.
-61
Express (7*a**2 + 2*a**2 - a**2)*(a - 9*a - 20*a) in the form f*a + d*a**3 + w*a**2 + o and give f.
0
Express -42*f - 38*f - 30 + 79*f in the form a*f + n and give n.
-30
Rearrange (5 - 5 + 2*t)*(-3*t + 6*t + 0*t) + (3*t + 4*t - 5*t)*(4*t - 2*t + 0*t) + 63 - 63 - 49*t**2 to the form z*t + f + m*t**2 and give m.
-39
Express -2*x**4 - 18*x**3 + 8*x**3 - x**4 + (1205*x**2 - 1203*x**2 + 2*x**4 + x**4)*(0 - 3 + 5) in the form q*x**4 + t*x + p*x**3 + l*x**2 + b and give t.
0
Rearrange 207 + s - 6*s - 60 + 3*s + 37 to the form o*s + c and give c.
184
Rearrange (3*g**4 - g**4 + 3*g**4)*(-8 + 48 + 24) to the form h*g + j*g**4 + i*g**3 + d + t*g**2 and give j.
320
Express 22*q + 404*q - 66*q in the form p + u*q and give u.
360
Rearrange (3*y - 4*y + 3*y)*(745 + 1457 - 2950) to the form m + r*y and give r.
-1496
Express -f**2 + 41 - 9*f**2 + 7*f**2 in the form h + p*f**2 + q*f and give h.
41
Express (6*a - a - 4*a)*(-18 + 3 + 6) + 3 - 6*a - 3 as r + b*a and give b.
-15
Express (-3 + 3 + a + 11 - 11 - 10*a + (3*a - 6*a + 4*a)*(1 + 1 - 4))*(a - a - 5*a)*(0*a + a - 2*a) as z*a + h*a**3 + p + s*a**2 and give p.
0
Rearrange -z**2 + 402 - 78 - 3*z**2 + 2*z**2 + 17 to x*z + v + h*z**2 and give h.
-2
Rearrange -3*u + 3*u - u + 3 - u - 12*u**3 + u to the form o*u**2 + q + f*u**3 + j*u and give q.
3
Rearrange -v**3 - 7*v**3 + v**3 + (-v**2 + 3*v**2 - v**2)*(3 + 2*v - 3) + 10*v**3 - 5*v**3 - v**3 to r*v**2 + c*v**3 + z + f*v and give c.
-1
Express -2*r - 9*r - 81 + 9*r in the form n + u*r and give n.
-81
Rearrange ((7 + 3 + 2)*(-5 + 6 + 0) + (-5 + 2 + 1)*(0 + 1 - 3))*(339*i - 339*i + 137*i**2) to h*i**2 + m*i + a and give h.
2192
Rearrange 1578 - 2*r - 7*r**2 - 787 - 791 to the form t*r + j*r**2 + h and give t.
-2
Rearrange -21*o**2 - 26*o**3 - o**4 + 20*o**2 + 30*o**3 - 14 to the form l*o**4 + z*o**3 + x*o + s + i*o**2 and give z.
4
Express u**2 + 22*u**2 + 6 + u**2 + 9 as w*u**2 + j + q*u and give j.
15
Express -90*s - 181*s**2 - 94*s - 87*s + 269*s as d + l*s + i*s**2 and give l.
-2
Rearrange -358*v**2 + 150*v**2 - v + 153*v**2 to the form o*v**2 + k*v + p and give k.
-1
Express -30 - h**2 + 17 + 5*h + 16 as c*h + y + o*h**2 and give c.
5
Rearrange 7 + 68*z - 7 + (-24*z + 12*z - 3*z)*(4 - 1 - 2) to a*z + o and give a.
53
Express 118*t**2 + 120*t**2 - 28*t**2 - 2 + 67*t**2 + 24*t**2 as d*t**2 + a + b*t and give d.
301
Express 13*p**2 + 48 + 51 + 5*p**3 - 149 + 52 as t*p**3 + g*p**2 + u*p + y and give t.
5
Express (-p + 3*p + p)*(-50*p + 118*p - 50*p - 86*p) in the form w + a*p + z*p**2 and give z.
-204
Express (6755*k + 2*k**4 - 6755*k + 238*k**2)*(2 - 4 + 0) in the form r*k + h + q*k**3 + v*k**4 + g*k**2 and give v.
-4
Rearrange 2*b**2 + b**3 + 3*b + 12733 - 12736 + 7*b**2 to p + g*b**3 + q*b + o*b**2 and give p.
-3
Rearrange (0*u**3 - 3*u**3 + 0*u**3)*(-3 + 18 + 287) to x*u + r + v*u**2 + i*u**3 and give i.
-906
Rearrange -41*j + 70 + 69*j - 27*j to o + y*j and give o.
70
Rearrange 4*d**3 - 3*d**2 + 323 + 12*d**3 - 323 to h + l*d**2 + r*d**3 + x*d and give r.
16
Rearrange (1 - 1 - 2*j**3)*(-22 - 19 + 28 + (0 - 4 + 3)*(0 + 0 - 2) + 2 + 10 - 2) to the form x*j**2 + w*j + t*j**3 + c and give x.
0
Rearrange 2 - 34*f + 562*f**2 - 6 - 560*f**2 to the form w*f**2 + l*f + g and give g.
-4
Rearrange 19 + 5*w + w + w - 16 - 12 to s*w + c and give c.
-9
Express -22*w**3 - 6001*w + 4 + 6001*w as o*w + u + t*w**3 + g*w**2 and give t.
-22
Rearrange 12*a**2 + 2*a**3 - 2*a + 3 + 4*a**2 - 1 - a**4 + 0*a**4 + 3*a to s*a + i*a**2 + g*a**3 + x + b*a**4 and give b.
-1
Rearrange 227*s - 227*s + 7*s**3 - s**2 - 30*s**3 to the form k*s**3 + h + u*s**2 + w*s and give k.
-23
Rearrange -n + 4 - 4 + 0*n - n + 0*n + (n - n - n)*(3 - 2 - 3) - 2*n + n + 3*n + 12 + 6*n + 9*n - 14*n to x*n + d and give x.
3
Express 0*p**3 + 101*p - 7 - 36*p**3 - 101*p in the form i + q*p + s*p**3 + d*p**2 and give s.
-36
Rearrange -37*q**2 - 9*q + 35*q**2 + q + (83 - 42 - 35)*(0*q**2 - 2*q**2 + 0*q**2) to the form z*q + j*q**2 + r and give z.
-8
Express (v**2 - 5 + 5)*(-2 - 1 + 2) + 3*v**2 + 5*v**2 - 5*v**2 + 3*v**2 + 0*v**2 + 28 - 29 - 2*v**2 - v**2 - 3*v**2 in the form b + d*v**2 + n*v and give b.
-1
Express b**2 - 13*b - 2 + 4*b**4 - 14*b**4 + 9*b**4 + 3*b**4 as t*b**4 + m + z*b**3 + v*b**2 + x*b and give v.
1
Rearra | {
"pile_set_name": "DM Mathematics"
} |
ative of -4*w + 17*w**z - 15*w**4 + 4*w + 10*w**2 wrt w.
48*w
Suppose 15 = -8*u + 11*u. Suppose 3*t - 4*q - 55 = 0, 2*t - u*t - q = -35. What is the derivative of 0 - 8*j - 4*j - 7 + t*j wrt j?
1
Find the third derivative of -3*u**2 - 14*u**2 - 8*u**2 + 5*u**2 - 160*u**3 wrt u.
-960
Let o(b) = -b**3 - b. Let a(r) = -11*r**6 + 5*r**2 + r - 2*r**2 - 92*r**3 + 93*r**3. Let g(n) = -a(n) - o(n). Find the third derivative of g(m) wrt m.
1320*m**3
Let a(z) = -197*z**3 + 203*z**2 + 6*z + 6. Let v(m) = 2*m**3 - m**2 - m - 1. Let r(x) = a(x) + 6*v(x). Find the third derivative of r(t) wrt t.
-1110
Let p(v) = 97*v**3 - 25*v**2. Let d(a) = 103*a**3 - 25*a**2. Let f(t) = -2*d(t) + 3*p(t). What is the third derivative of f(q) wrt q?
510
Let f(i) = -35*i**2 - 56*i + 16. Let k(y) = -y**2 - 2*y - 3. Let o(x) = -f(x) - 6*k(x). What is the second derivative of o(l) wrt l?
82
Let q = 69 - 64. Differentiate -27 - q*g**2 - 3*g**2 + 4*g**2 + 0*g**2 with respect to g.
-8*g
Let h(d) be the first derivative of -39*d**4/4 + 75*d - 112. Differentiate h(k) wrt k.
-117*k**2
Let z(f) be the second derivative of f**5/4 + 19*f**4/2 - 24*f - 5. What is the third derivative of z(s) wrt s?
30
Let f be (21/1)/3 + -3. Let u be 1 + f + -3 + 0. Differentiate -u*l**2 + 0*l**2 - 1 + 2*l**2 + 4*l**2 with respect to l.
8*l
Let o(z) be the third derivative of z**6/24 + 23*z**5/60 + 5*z**4/4 - z**2 - 1. Let i(g) be the second derivative of o(g). What is the derivative of i(h) wrt h?
30
Let s(o) be the third derivative of -8*o**2 + 0*o**4 + 0*o + 5/6*o**3 - 3/20*o**5 + 0. Differentiate s(g) with respect to g.
-18*g
Let j(b) be the second derivative of 0*b**7 + 0*b**2 + 0*b**5 + 8*b + 0*b**6 + 0*b**3 + 0 + 1/28*b**8 - 1/3*b**4. What is the third derivative of j(i) wrt i?
240*i**3
Let r(s) = 15*s**3 + 4*s**2 - 16. Let f(m) = -29*m**3 - 9*m**2 + m + 31. Let b(w) = 2*f(w) + 5*r(w). What is the second derivative of b(h) wrt h?
102*h + 4
What is the third derivative of -1607*x**2 - 37*x + 1602*x**2 + 73*x**3 + 88*x**3 wrt x?
966
What is the third derivative of 47*z**6 + 26*z**2 - 10*z**5 + 10*z**5 wrt z?
5640*z**3
Suppose 5*n - 25 = 0, 3*j + 3*n = 7*j - 57. What is the second derivative of 0*v - 4*v**3 + 10*v - j*v wrt v?
-24*v
Let c(n) = 4*n**2 - n - 1. Let d be c(-1). Suppose -i - i = -d. Find the third derivative of 4*a**2 - 6*a**2 + 3*a**5 + 4*a**i wrt a.
180*a**2
Let o(y) be the second derivative of -389*y**7/42 + 55*y**3/3 - 516*y. What is the second derivative of o(i) wrt i?
-7780*i**3
Let n(k) = -k**3 - 3*k - 2. Let u be n(-1). Differentiate 8 - 15*d**u + 12*d - 27*d + 15*d with respect to d.
-30*d
Suppose 4*k - 6 + 15 = -5*z, 3*k + 5*z = -13. Let b = -1 + k. What is the first derivative of 0*g + 0*g - 4*g**3 + 2 + 2*g**b wrt g?
-6*g**2
Let s(z) = z**3. Let t(f) = 2*f + 2. Let w be t(0). Let v(n) = -12*n**3 + 11*n. Let j(a) = w*s(a) - v(a). What is the second derivative of j(d) wrt d?
84*d
Let r(k) be the first derivative of -8*k**3 + 23*k**2/2 - k + 27. Find the second derivative of r(s) wrt s.
-48
Let u(t) be the first derivative of -539*t**2/2 - 594*t + 230. Differentiate u(o) wrt o.
-539
Let f(u) be the second derivative of u**7/42 - 97*u**4/12 + 27*u**3/2 - 2*u + 1. What is the second derivative of f(o) wrt o?
20*o**3 - 194
Let z(d) = d**2 + 12*d + 13. Let n be z(-11). What is the derivative of 5*y**2 - 6*y**2 + 1 - 4*y**n - 10 wrt y?
-10*y
What is the third derivative of 69*a**2 + 26*a**5 - 11*a**2 + 156*a**5 + 208*a - 12*a**5 - 206*a wrt a?
10200*a**2
Find the second derivative of -3 - 23*n**3 + 1342*n + 3 - 1454*n wrt n.
-138*n
Find the third derivative of 9*a - 796*a**2 + 301*a**2 + 170*a**6 + 304*a**6 - 9*a wrt a.
56880*a**3
Let w(i) = i**3 + 8*i**2 - i + 11. Let v be w(-8). Let p = v + -14. Find the second derivative of 22*k**p + 4*k - 14*k**5 - 15*k**5 wrt k.
-140*k**3
What is the third derivative of -22 - 3*f**4 + 32*f**2 - 346*f**5 + 46 + 3*f**4 - 17 wrt f?
-20760*f**2
Let v be (6/(-9))/(2/(-15)). Suppose -n + 2*n = 0. Find the second derivative of v*h - 4*h**5 + 0*h**5 + 0*h**5 + n*h wrt h.
-80*h**3
Let l(i) be the second derivative of 0*i**2 + 0*i**5 + 0*i**3 + 10*i - 11/30*i**6 - 1/4*i**4 + 0. Find the third derivative of l(w) wrt w.
-264*w
Let z(g) be the third derivative of -g**8/168 - 5*g**4/8 - 5*g**3/6 + 6*g**2. Let s(d) be the first derivative of z(d). Differentiate s(t) wrt t.
-40*t**3
Let n(g) = 265*g + 698. Let u(c) = -53*c - 139. Let v(b) = -2*n(b) - 11*u(b). What is the derivative of v(l) wrt l?
53
Suppose 2*i - 18 = a - 2*i, 2*a + 2*i = 14. Find the second derivative of 23*b**5 - 2*b**5 - b - 3*b**a + 3*b**2 wrt b.
420*b**3
Suppose 0 = 8*n - 11581 + 11565. Let c(a) be the first derivative of 0*a**2 - 9/4*a**4 - n + 0*a - 5/3*a**3. What is the third derivative of c(h) wrt h?
-54
Let w(c) = -1382*c - 1041. Let g(j) = -458*j - 347. Let m(l) = 11*g(l) - 4*w(l). Differentiate m(h) wrt h.
490
Let t(o) = -94*o**4 + o**2 + 372*o + 1. Let r(u) = -u**4 + 2*u**2 + u - 1. Let l(j) = r(j) + t(j). What is the second derivative of l(f) wrt f?
-1140*f**2 + 6
Let n be (-44)/8*4/(-2). Differentiate -9*z**2 - 2*z**2 - 28 + 28*z**3 + n*z**2 with respect to z.
84*z**2
Let k be 4/(-22) + (-466)/(-22). Suppose -3 = 20*i - k*i. Find the second derivative of -26*x**2 + 26*x**2 + 9*x - i*x**3 + 6*x**3 wrt x.
18*x
Let u(q) be the first derivative of 2*q**5/5 - q**4/4 + 22*q - 83. Differentiate u(m) with respect to m.
8*m**3 - 3*m**2
Let v(a) = -55*a**4 + a**3 - 5*a**2 + 42. Let p(h) = h**4 + h**2 - 1. Let q(d) = -5*p(d) - v(d). Find the first derivative of q(z) wrt z.
200*z**3 - 3*z**2
Let h(x) = -88*x**3 - 493*x**2 - 2*x. Let f(w) = -265*w**3 - 1478*w**2 - 5*w. Let l(g) = -4*f(g) + 11*h(g). What is the third derivative of l(m) wrt m?
552
What is the derivative of 36*c**3 + 1069 - 2098 + 941 wrt c?
108*c**2
Suppose -i + 55 = 5*v + 2*i, -4*v + 3*i = -44. Find the third derivative of 9*h**2 + v*h**6 + 14*h**2 + 13*h**2 - 18*h**2 wrt h.
1320*h**3
Let y(w) = -37*w**2 + 94. Let m(d) = 1. Let r(p) = -2*m(p) + y(p). Differentiate r(a) with respect to a.
-74*a
Let z(r) = -5 + 5 + 0*r + 6*r. Let h = -3 + -1. Let d(i) = 6*i - 1. Let n(k) = h*z(k) + 3*d(k). Find the first derivative of n(t) wrt t.
-6
Let n(j) be the first derivative of 6 + 0*j**3 + 7*j + 13/5*j**5 + 0*j**4 + 0*j**2. Find the first derivative of n(q) wrt q.
52*q**3
Let d(w) = 184*w**3 - 4*w**2 + 7*w + 4. Let k(c) = -367*c**3 + 9*c**2 - 12*c - 7. Let o(m) = 7*d(m) + 4*k(m). Find the third derivative of o(a) wrt a.
-1080
Let b(f) = 43*f**3 - 21*f - 4. Let y(k) = 2*k**3 - 1. Let c(p) = b(p) - 5*y(p). Find the second derivative of c(u) wrt u.
198*u
Let c(w) be the third derivative of 41*w**7/70 + 7*w**5/30 + 2*w**3/3 - 111*w**2. Find the third derivative of c(q) wrt q.
2952*q
What is the third derivative of -42*m**2 + 806*m**3 - m**2 - 944*m**3 wrt m?
-828
Suppose -5*l = w - 17, -4*w - l - 4*l = -23. Differentiate -852*q - 35*q**w - 20 + 852*q wrt q.
-70*q
Let s(h) be the third derivative of 0*h**5 + 0 + 1/24*h**6 + 0*h + 17*h**2 + 0*h**4 + 5/2*h**3. What is the first derivative of s(j) wrt j?
15*j**2
Let k(t) be the first derivative of -11*t**6/6 - 3*t**5 + 559*t**3/3 + 908. What is the third derivative of k(s) wrt s?
-660*s**2 - 360*s
Suppose -2*a = -4 - 0. Let r = 239 - 237. What is the derivative of -1 + 9*b**r - 18*b**a + 9 wrt b?
-18*b
Find the second derivative of -4727*w**3 - 3*w + 2349*w**3 + 2349*w**3 - 5*w - w wrt w.
-174*w
Let w(u) be the second derivative of 53*u**5/20 - 185*u**4/4 + 598*u. What is the third derivative of w(p) wrt p?
318
Let o(f) be the first derivative of f**7/105 + f**5/30 - 7*f**2 - 5. Let v(l) be the second derivative of o(l). What is the third derivative of v(y) wrt y?
48*y
Let r(p) be the first derivative of 38*p**5/5 + 29*p**3/3 + p**2 + 46. What is the third derivative of r(b) wrt b?
912*b
What is the derivative of -13 - 17*c - 87 - 65 + 23*c + 134*c wrt c?
140
What is the third derivative of 48*w**5 + 24*w**2 - 75*w**2 + 32*w**2 wrt w?
2880*w**2
Let x(u) be the second derivative of -17*u**5/10 + u**4/6 - 39*u**2/2 + 15*u. Find the third derivative of x(i) wrt i.
-204
Let r be -9 + 7 + 6*1. Differentiate -4 - 2*z**4 - 4 + r*z**4 wrt z.
8*z**3
Differentiate 29 - 2*z**2 - 26*z + 20 + 91 with re | {
"pile_set_name": "DM Mathematics"
} |
Let q = t + 0.111. What is q rounded to three decimal places?
-0.005
Let h(d) be the second derivative of 2*d + 1/3*d**3 - 3099999/20*d**5 - 1/2*d**2 + 0 - 1/6*d**4. Let f be h(1). Round f to the nearest 1000000.
-3000000
Let k = 5.14 - 0.24. Let u = -168010.10102 - -168015. Let p = k - u. What is p rounded to four dps?
0.001
Let b = -13.97 - -14. Let f = b - 0.51. Round f to 1 decimal place.
-0.5
Let o = 1 + -1.04. Let x = 0.04048 + o. Round x to four dps.
0.0005
Let n = 0.18 + 9.82. Let i = 10.38 - n. Round i to one decimal place.
0.4
Let d = -189.99999802 - -190. What is d rounded to 7 dps?
0.000002
Let x = -0.3 - -0.16. Let l = -0.13999965 - x. What is l rounded to seven dps?
0.0000004
Let f = -50 + 35. Let q = f - -15.0012. Round q to three decimal places.
0.001
Let o = 100.094 + -100. Round o to 2 decimal places.
0.09
Let d = 410.3 - 387. Let a = d - 24.39. Let m = a + 9.89. What is m rounded to 0 decimal places?
9
Let r = 0.08 + -1.24. Round r to 1 dp.
-1.2
Let q(k) = k - 7. Let b be q(8). Let n(s) = -39*s - 1. Let o be n(b). What is o rounded to the nearest ten?
-40
Let a(b) = 113*b**2 - b - 4. Let v = 8 - 5. Let k be a(v). Suppose 2*m = m - k. What is m rounded to the nearest 100?
-1000
Let t(s) = 65*s + 2 - 18 - 183*s. Let x be t(8). Round x to the nearest one hundred.
-1000
Let o = 12.3 - -0.6. What is o rounded to the nearest integer?
13
Let g = -1.3 - -0.3. Let f = -10878.0002 - -10877. Let l = g - f. What is l rounded to 4 dps?
0.0002
Let u = 39.93 + -42. What is u rounded to the nearest integer?
-2
Let x = -28.8 + 5.8. Let i = 23.00000049 + x. What is i rounded to 7 decimal places?
0.0000005
Let b = 61 - 1. Let z = 59.9943 - b. Round z to 3 dps.
-0.006
Let h = -5.86 + -0.14. Let n = h + 6.42. Round n to one dp.
0.4
Let l = -0.00007 + 0. Round l to four decimal places.
-0.0001
Suppose 0 = 12*q + 1008128 - 4380128. What is q rounded to the nearest 10000?
280000
Let i(t) = 1. Let d(f) = -f + 3. Let g(s) = d(s) + i(s). Let a be g(0). Suppose -121387 = -a*y + 42613. What is y rounded to the nearest ten thousand?
40000
Suppose -4*s = -s - 1140. Round s to the nearest 100.
400
Let z = 0.35 - 0.15. Let u = 0.2000024 - z. What is u rounded to 6 decimal places?
0.000002
Suppose 0 = y - q - 1, 2 = -4*y + 3*q + 5. What is y rounded to 6 decimal places?
0
Let u be 2/(-12) - (-2100005)/30. Round u to the nearest 10000.
70000
Let r = 3843 - 2403. Round r to the nearest 100.
1400
Let f = -60.99999913 + 61. What is f rounded to seven decimal places?
0.0000009
Let w = 7 - 7.011. Let d = -18.92 + 19. Let p = d + w. What is p rounded to 2 dps?
0.07
Let z(f) = f + 1. Let t(d) = -1785*d + 1. Let s(v) = t(v) + 4*z(v). Let u be s(5). What is u rounded to the nearest 1000?
-9000
Let f = 0.32 + -0.08. What is f rounded to 1 decimal place?
0.2
Let c = 1.2388 - -3.7622. Let t = c + -5. Round t to two dps.
0
Let s = 10.999948 - 11. Round s to five dps.
-0.00005
Let h = -40.8 + 45. Let t = h + -4. Let u = t - 0.19999973. Round u to 7 decimal places.
0.0000003
Let u(d) = 11661*d**3 + 12*d**2 + 10*d - 13. Let c be u(-9). What is c rounded to the nearest 1000000?
-9000000
Let p = 445.74 + 2.26. Let a = 220 - p. Let o = -228.0103 - a. Round o to three decimal places.
-0.01
Let t = -32.27 + 29.1. Let r = -3.1831 - t. Round r to three dps.
-0.013
Let n = -26.941 + 27. What is n rounded to 2 dps?
0.06
Let b(p) = -3216*p**3 - p**2 - 4*p + 5. Let x be b(-5). What is x rounded to the nearest ten thousand?
400000
Let q = 10.8 + -12.26. Round q to one dp.
-1.5
Suppose -3*l - 40 - 24 = -4*h, -5*l = -5*h + 85. Let s = 35 - h. Let d = 91 - s. Round d to the nearest ten.
70
Let c = -1.179 + 1.1788449. What is c rounded to 5 decimal places?
-0.00016
Let u = -182.29 + 184. Round u to one dp.
1.7
Let i = 269.2 + 1525.8. Let d = i - 1795.749. Let c = 0.031 - d. What is c rounded to 1 decimal place?
0.8
Let c = 149 - 228. Let s = 84.1 + c. Round s to the nearest integer.
5
Let r = -537023 - -316023. What is r rounded to the nearest 10000?
-220000
Let o(r) = -r**2 + 2*r - 2. Let n be o(2). Let l(x) = -132*x**3 - x**2 + x + 2. Let g be l(n). Let i = g - 512. Round i to the nearest 100.
500
Let k = -3 - -3. Let t = 0.3 + k. Let g = 0.3000009 - t. What is g rounded to 7 dps?
0.0000009
Suppose 9 = 4*u - 2*v + v, -6 = -2*v. Suppose i - 3*i = -4*s - 8390, -u*s - 6275 = -5*i. Round s to the nearest 1000.
-2000
Let c = 1.29999991 - 1.3. What is c rounded to seven dps?
-0.0000001
Let n = 61.6322 - 62.172159. Let y = 17 - 17.54. Let l = y - n. What is l rounded to five dps?
-0.00004
Let s = 24.77 - 25. Let b = s + 0.229992. Round b to 5 decimal places.
-0.00001
Let n be (4/3)/((-5)/(-30)). Let z(i) = -i + 10. Let a be z(n). Let u = -2 + a. Round u to 5 decimal places.
0
Let j = -112265962 - -112265954.0000003. Let q = j - -8. Round q to six decimal places.
0
Let c(m) = 93*m + 3. Let l be c(6). Suppose l = -4*g + w - 0*w, 3*w - 432 = 3*g. Let z be (-100)/(-6)*(g - -1). What is z rounded to the nearest one thousand?
-2000
Let t = 0.15 + -20.15. Let s = -19.9928 - t. Round s to 3 dps.
0.007
Let f(j) = 47*j - 2. Let n be f(1). Let g be (-2015)/n - (-6)/(-27). Round g to the nearest ten.
-50
Let o = -1564450 + 904450. What is o rounded to the nearest 100000?
-700000
Let m = 3598.153 + -3594.153002. Let u = -4 + m. Round u to five dps.
0
Let w = -2.6 - 0.4. Let k = w + -47. Let l = k + 49.933. What is l rounded to 2 dps?
-0.07
Let m = 1697 + -1140. Let z = -536.52 + m. Let d = z - 20. What is d rounded to 1 dp?
0.5
Let v = -6 + 10. Suppose v*k - 3*k + 760 = 0. Round k to the nearest one hundred.
-800
Let u be -2 + (-4)/((-16)/12). Let n be (-10)/u*(-2062 + 2). What is n rounded to the nearest 1000?
21000
Let s = 4.173 + 368.227. Let i = 370.4024 - s. Let j = i + 2. What is j rounded to three dps?
0.002
Suppose -2*n + 4*n = -3100. What is n rounded to the nearest one hundred?
-1600
Let c = -21756 - -13926. Round c to the nearest one thousand.
-8000
Let v(s) = -38*s + 2. Let i(l) = -l**3 - 5*l**2 + 4*l - 8. Let n be (-3)/9 - 34/6. Let u be i(n). Let a be v(u). Round a to the nearest one hundred.
-200
Let y = -27335.96002314 + 5.00612314. Let f = -27313.9538913 - y. Let z = f - 17. What is z rounded to six decimal places?
0.000009
Let i = -736.47 - -776.3. Let b = 40 - i. Round b to 1 decimal place.
0.2
Suppose -a = -2*u - u + 39300004, 0 = 5*a - 25. Suppose 0 = m + 3*l - u, -3*m + 2*l + 39299998 = -0*l. Round m to the nearest one million.
13000000
Let g = 18 + -4. Let b = g + -13.9999945. Round b to six decimal places.
0.000006
Let u = -0.9 - -0.89. Let q = 0.08 - u. What is q rounded to two dps?
0.09
Let d be 1/(2*(-1)/(-6)). Suppose d*j = 2*q - 56, -4*j + 28 = q + q. Round q to the nearest ten.
20
Let h = -45 - -45.3. Round h to 1 dp.
0.3
Let u = -1.65 - -1.6746. Let p = u + -0.03. What is p rounded to three dps?
-0.005
Let y = 31.4 - 32. Let c = 66869 + -66868.39994. Let w = c + y. Round w to five dps.
0.00006
Let n = 227 + -1873. Let p = 1649.995 + n. Let o = p + -4. Round o to three decimal places.
-0.005
Let l = 17.2 - 16. Let i = -44980.19919 + 44979. Let n = i + l. Round n to four decimal places.
0.0008
Let w = -321219782 + 321219800.6999907. Let j = w - 18.7. Round j to six decimal places.
-0.000009
Let z = 4291895969 - 4291875195.950043. Let p = -20773 + z. Let s = -0.05 + p. What is s rounded to 5 dps?
-0.00004
Suppose -2*b + 3*b = 4*c - 219020, 5*b - 3*c + 1095015 = 0. Round b to the nearest 10000.
-220000
Let p = 3 - -32. Let c = -35.000049 + p. Round c to 5 dps.
-0.00005
Let a(f) = 775001*f**2 - 2*f. Suppose 16 = 5*w + 2*r, 3*r = -5*w + 6 + 13. Let h be a(w). Round h to the nearest 1000000.
3000000
Let d = 9281687 + 818313. What is d rounded to the nearest 1000000?
10000000
Let z(m) = 2*m + 1. Let j be z(5). Let b = 16 - j. Suppose 2*g = 8*x - 3*x - 30400025, -5*g = b*x + 75999975. What is g rounded to the nearest one million?
-15000000
Let b be 3*(-1)/(3/(-2)). Let c be (-31289994)/21 + b/(-7). What is c rounded to the nearest one hundred thousand?
-1500000
Let p = -6.976 - -7. Round p to 2 decimal places.
0.02
Let y(f) = f + 9. Let o be y(-4). Let p = o - 3. Suppose 3*k + g - 267 = 0, -447 = -5*k - p*g + g. Round k to the nearest 10.
90
Let r = -0.5 + -2.5. Let w = r + 2.925. | {
"pile_set_name": "DM Mathematics"
} |
d 290?
5870760
Calculate the lowest common multiple of 1068110 and 12200.
21362200
What is the lowest common multiple of 1386 and 114912?
1264032
Calculate the smallest common multiple of 756906 and 12810.
1615994310
Calculate the lowest common multiple of 21405 and 11177691.
55888455
Find the common denominator of -113/27085536 and -127/438886.
189598752
Calculate the common denominator of 131/10586052 and -55/432.
42344208
Calculate the common denominator of 25/25193193 and 5/581187.
579443439
Calculate the least common multiple of 110297453 and 110297453.
110297453
What is the common denominator of 74/327 and -38/378411?
41246799
Calculate the common denominator of -89/856884 and 85/428442.
856884
What is the least common multiple of 52809 and 10773036?
10773036
Calculate the common denominator of -44/27 and 127/544896.
1634688
What is the common denominator of -115/103020996 and 49/68680664?
206041992
Calculate the common denominator of -1/93447976 and -157/120.
1401719640
Calculate the least common multiple of 1796052 and 6.
1796052
What is the common denominator of 41/554 and 79/149026?
149026
Calculate the common denominator of 99/42892 and -47/8486.
181990756
What is the least common multiple of 59749 and 1136835?
169388415
Calculate the least common multiple of 650 and 10989355.
109893550
Find the common denominator of -97/69598 and -57/71530.
108224890
Find the common denominator of -53/10 and -79/8757030.
8757030
Find the common denominator of 107/3700 and -91/155560.
28778600
Calculate the lowest common multiple of 10835 and 8019.
7898715
What is the common denominator of 39/22 and -95/732026616?
8052292776
Find the common denominator of -19/30681652 and -145/354.
92044956
Calculate the common denominator of -87/43600 and -103/22600.
4926800
Calculate the common denominator of -7/3399 and -65/1636773.
18004503
Calculate the lowest common multiple of 93093 and 1767.
1768767
Calculate the smallest common multiple of 7393728 and 333480.
258780480
Find the common denominator of 77/1989052 and 71/6961682.
13923364
Calculate the least common multiple of 488799 and 1074.
174990042
Calculate the common denominator of 83/54822999 and 32/171.
164468997
Calculate the common denominator of -7/118780328 and -57/22.
1306583608
Find the common denominator of 39/56909876 and 39/4708.
626008636
What is the common denominator of -53/32 and 101/203024?
406048
What is the lowest common multiple of 10537901 and 9579910?
105379010
What is the lowest common multiple of 75439 and 3890497?
27233479
Find the common denominator of -37/14420 and 49/1780.
1283380
Calculate the common denominator of -173/152310 and 21/21968179.
659045370
Calculate the common denominator of -68/2658733 and -125/5800872.
63809592
Calculate the lowest common multiple of 50112 and 10988100.
527428800
Find the common denominator of -67/4039260 and 117/21893960.
1510683240
What is the common denominator of 149/102060 and -157/143640?
3878280
Calculate the smallest common multiple of 56 and 7401620.
103622680
What is the common denominator of -67/112195 and 92/761745?
14473155
What is the common denominator of -36/21097 and -7/1574472?
114936456
What is the lowest common multiple of 2041724 and 58842?
128628612
Find the common denominator of -58/49 and -16/4025427.
28177989
What is the lowest common multiple of 12151373 and 39?
36454119
What is the common denominator of -109/171677046 and -11/95?
858385230
Calculate the smallest common multiple of 265410504 and 2.
265410504
Find the common denominator of -87/89724520 and 23/143559232.
717796160
Find the common denominator of 34/1746279 and -8/81.
1746279
Calculate the least common multiple of 62350745 and 186741.
561156705
Calculate the lowest common multiple of 225 and 5124465.
25622325
Find the common denominator of 53/8700 and -23/62150.
10814100
What is the lowest common multiple of 625713 and 417142?
1251426
Calculate the common denominator of 11/6834183 and 23/34170915.
34170915
Calculate the common denominator of -179/3658980 and 81/52.
3658980
What is the common denominator of 4/4285629 and 51/1481452?
119997612
Calculate the smallest common multiple of 12 and 5380004.
16140012
Calculate the common denominator of -41/337588 and -18/3589.
32746036
Find the common denominator of 61/309240 and 41/11232.
48241440
Calculate the common denominator of 67/617386 and 65/466.
143850938
Calculate the common denominator of 71/4720992 and -95/50750664.
203002656
Find the common denominator of 4/3325 and -8/3486899.
610207325
What is the common denominator of 51/256 and -25/36557632?
146230528
What is the lowest common multiple of 10445 and 15709280?
15709280
What is the lowest common multiple of 70583200 and 73040?
776415200
Calculate the lowest common multiple of 106011 and 18257450.
164317050
Calculate the smallest common multiple of 441171 and 180.
8823420
Calculate the lowest common multiple of 9 and 10135071.
10135071
Find the common denominator of 29/27301 and -33/173302.
3985946
Calculate the common denominator of 6/1951775 and -5/1331316.
632375100
Calculate the common denominator of -71/659728 and 37/227606160.
227606160
Find the common denominator of 29/214637969 and 6/412765325.
5365949225
Calculate the smallest common multiple of 55148 and 6488.
110296
What is the least common multiple of 42482806 and 20?
424828060
Calculate the common denominator of -37/32528 and -63/29767186.
238137488
Find the common denominator of 103/37212420 and 29/180.
111637260
Calculate the lowest common multiple of 110 and 5746345.
11492690
Calculate the least common multiple of 1210020 and 370.
44770740
Find the common denominator of 117/9997438 and 129/1612490.
49987190
Find the common denominator of -49/136896806 and -24/37169.
1505864866
What is the lowest common multiple of 7220 and 1520?
28880
Calculate the lowest common multiple of 314 and 1572.
246804
Find the common denominator of 13/600 and 41/31461800.
94385400
What is the common denominator of -19/3481944 and -11/81?
94012488
What is the lowest common multiple of 96665 and 361?
34896065
Calculate the lowest common multiple of 14 and 14109430.
98766010
Find the common denominator of 49/12360 and 181/19740.
4066440
What is the lowest common multiple of 418948 and 34?
418948
Calculate the lowest common multiple of 2289303 and 37646316.
338816844
What is the smallest common multiple of 3684418 and 202812?
22106508
What is the smallest common multiple of 41934780 and 884700?
209673900
Calculate the lowest common multiple of 10632 and 14066136.
14066136
What is the lowest common multiple of 20 and 1706624?
8533120
What is the common denominator of 139/1462440 and 9/12187?
1462440
What is the common denominator of 131/5214 and -85/2914152?
32055672
Find the common denominator of 23/2072790 and 101/2763720.
8291160
What is the smallest common multiple of 13689 and 31200?
10951200
What is the lowest common multiple of 8500284 and 245200500?
3187606500
Find the common denominator of -27/3652 and 21/159968224.
1759650464
Calculate the least common multiple of 620549312 and 91906.
620549312
Find the common denominator of 71/4820 and 31/991715.
3966860
Calculate the smallest common multiple of 1448434 and 1508.
2896868
Calculate the common denominator of 109/2904 and 23/75416.
2488728
Find the common denominator of 17/972 and 31/1004562.
2009124
Calculate the smallest common multiple of 894 and 2711055.
5422110
What is the lowest common multiple of 6564588 and 65645880?
65645880
Calculate the lowest common multiple of 5735334 and 38190.
544856730
Find the common denominator of -13/300932 and 19/48691.
637073044
Calculate the common denominator of 57/208 and -67/283504.
283504
Calculate the lowest common multiple of 14271804 and 40.
142718040
What is the lowest common multiple of 12120 and 54496?
82561440
Calculate the smallest common multiple of 167167 and 1118733.
14543529
What is the least common multiple of 1962 and 153690?
461070
Calculate the smallest common multiple of 624345892 and 18.
5619113028
What is the smallest common multiple of 69234 and 48972?
51371628
Calculate the common denominator of 47/1133744 and 53/56.
7936208
Find the common denominator of 85/84903 and -37/946062.
6622434
C | {
"pile_set_name": "DM Mathematics"
} |
*n*q*y + 5*q*s**2*y wrt n?
192*n*q*y - 10865532*q*s**3*y
Find the second derivative of -72824221*c**2 - 62369971*c.
-145648442
What is the second derivative of -2059828*r**2*t + 10*r**2 + 4*r*t + 16739*r + 2 wrt r?
-4119656*t + 20
What is the third derivative of 502516*v**5 - 100*v**3 + 80235353*v**2?
30150960*v**2 - 600
Differentiate -3330622*z**3 + 12*z + 31383869.
-9991866*z**2 + 12
What is the second derivative of 86*f**3*u + 252*f**3 + 390*f**2*u**2 + 22*f*u**2 + f*u + 13*f - 4*u**2 + 2*u + 451 wrt f?
516*f*u + 1512*f + 780*u**2
What is the second derivative of -72177014*u**2 + 58*u + 1703177?
-144354028
Find the third derivative of 15048636*h**6 + 6035325*h**2 wrt h.
1805836320*h**3
What is the third derivative of 565104*y**3 - 14402*y**2 + 388*y wrt y?
3390624
What is the second derivative of 346*g**4 + 6*g**3 + 4693*g**2 - 112536820*g?
4152*g**2 + 36*g + 9386
Find the first derivative of -19906146*n*s + 113430*n + 174 wrt s.
-19906146*n
Differentiate -1024*j**4 - 755*j**3 + j**2 + 15758367 wrt j.
-4096*j**3 - 2265*j**2 + 2*j
Find the second derivative of 163*f**5 + 12*f**3 + 3715*f**2*h + 10*f*h - 13337655*f wrt f.
3260*f**3 + 72*f + 7430*h
Find the second derivative of -1411080211*n**3 + 315983678*n wrt n.
-8466481266*n
What is the first derivative of -27200441*n**3 + 8715162 wrt n?
-81601323*n**2
What is the third derivative of 306836822*z**5 - 938371921*z**2?
18410209320*z**2
Find the first derivative of -392*f**3 - 434*f**2 - 9*f - 137009788.
-1176*f**2 - 868*f - 9
Find the third derivative of -7244627*g**4 + 7316281*g**2 wrt g.
-173871048*g
What is the first derivative of -61*f**4 + 259*f**3 + 21*f - 35344897?
-244*f**3 + 777*f**2 + 21
Differentiate -7722938*s**3 + 10454464 with respect to s.
-23168814*s**2
Find the third derivative of 2561853*b**4 + 1723633*b**2 wrt b.
61484472*b
What is the third derivative of 5501484*o**5 - 504800*o**2?
330089040*o**2
Find the third derivative of 1619*b**5 - 4*b**4 + 174*b**3*s - 276848*b**2 + 16*b*s wrt b.
97140*b**2 - 96*b + 1044*s
Find the third derivative of 8814664*h**3*k*q**2 + 2*h**2*q**2 + 6923*h**2*q - 4*h + 3*k - 2*q wrt h.
52887984*k*q**2
Find the second derivative of -6611*q**3 + 6398*q**2 + 16351618*q - 37 wrt q.
-39666*q + 12796
Find the third derivative of 34*z**5 + z**4 + 76838*z**3 - 91613818*z**2.
2040*z**2 + 24*z + 461028
What is the derivative of 129*m**4 + 2936830*m - 437407136 wrt m?
516*m**3 + 2936830
Find the first derivative of 5879438*k**3 + 7842093.
17638314*k**2
Find the third derivative of -4400*d**4*z**2 + 192*d**3*z**3 + 2*d**2*z**2 + 307*d*z**3 + d*z**2 + 18*z**3 - 2*z**2 wrt d.
-105600*d*z**2 + 1152*z**3
Find the third derivative of -3820*o**3*y**3 + 2806896*o**3*y - o*y**3 + 51*o*y**2 - 13226*y**3 - 2*y**2 wrt y.
-22920*o**3 - 6*o - 79356
Find the third derivative of 2381*a**6 + 5*a**5 + 1936*a**3 + 579910*a**2 + 289.
285720*a**3 + 300*a**2 + 11616
What is the third derivative of 66916978*b**4 - b**3 - b**2 + 1556810*b?
1606007472*b - 6
Find the third derivative of 164661431*v**4 - 180441950*v**2 wrt v.
3951874344*v
Find the first derivative of -5*s**3 + 15083083*s**2 + 101717336 wrt s.
-15*s**2 + 30166166*s
What is the third derivative of 5603*h**5 - 4896*h**4 + 100949665*h**2?
336180*h**2 - 117504*h
Find the second derivative of 845*v**3*x**2 - 91*v**3*x - v**2*x**2 - 35105*v**2*x + 36*v*x**2 wrt x.
1690*v**3 - 2*v**2 + 72*v
Find the third derivative of 4020132*b**3*m**3 + 1889*b**3*m**2 - b**2*m**5 + 235*b*m**2 wrt m.
24120792*b**3 - 60*b**2*m**2
Find the second derivative of -1313*u**4 + 84265*u**2 - 88095541*u + 2 wrt u.
-15756*u**2 + 168530
Find the second derivative of -7731229*g**2 + 455*g + 510 wrt g.
-15462458
Differentiate 3327175*p**3 - 106554425 with respect to p.
9981525*p**2
What is the first derivative of 52*p**4 + 7*p**3 - 355*p**2 - 6*p + 66773690 wrt p?
208*p**3 + 21*p**2 - 710*p - 6
What is the third derivative of -1850766*d**3*j**3 + d**3*j*k + 417847*d**2*j**3*k - 4*d**2*j wrt d?
-11104596*j**3 + 6*j*k
What is the first derivative of 8258*c*n - 249*c + 2213555*n wrt c?
8258*n - 249
What is the third derivative of -159267*z**5 - 14*z**3 + 3868028*z**2 - 2?
-9556020*z**2 - 84
Find the third derivative of 709941552*r**3 + 977381*r**2 - 101*r wrt r.
4259649312
Find the third derivative of -41890641*x**4 + 30*x**2 - 76615*x + 2.
-1005375384*x
What is the derivative of -8916315*f**2 - 10752290 wrt f?
-17832630*f
What is the third derivative of -158021882*a**3 + 13457770*a**2?
-948131292
What is the third derivative of 32*l**6 + 14796*l**3 - 26989*l**2 + 18*l + 2 wrt l?
3840*l**3 + 88776
What is the third derivative of 8*b**4 - 153168*b**3 + 2*b**2 + 3*b + 93555?
192*b - 919008
Find the first derivative of -6*p**3 + 6647478*p**2 - 36710486 wrt p.
-18*p**2 + 13294956*p
Find the second derivative of 25885*g**2*v**2 - 3*g**2*v*y - g**2*v - 42*g**2*y + g*v*y - 20*g*y - 2*v**3 + 243*v**2*y - v*y - 18*v wrt v.
51770*g**2 - 12*v + 486*y
What is the first derivative of -4902523*t + 23759071?
-4902523
Differentiate 12*c**4 - 768*c**3 - 605*c**2 - 35464440.
48*c**3 - 2304*c**2 - 1210*c
Differentiate -141995543*d*u + 85954589*d with respect to u.
-141995543*d
Find the second derivative of -7010591*x**3 + 20538224*x.
-42063546*x
What is the derivative of -z**3 + 20*z**2 - 1355*z - 5327815?
-3*z**2 + 40*z - 1355
What is the first derivative of -61632667*i**2 + 32529323?
-123265334*i
Find the second derivative of -491926489*d**4*y + 8202*d*y + 12*d + 169*y wrt d.
-5903117868*d**2*y
What is the second derivative of 208903594*g*s**2 - 286*g + 181498*s wrt s?
417807188*g
Find the second derivative of 70939606*o**2 - 244*o + 80203.
141879212
Find the second derivative of 13754*y**3 + 2050*y**2 - 1709632*y + 7 wrt y.
82524*y + 4100
What is the derivative of 23*l*u*y**2 + 118*l*y**2 - 884*l*y - 18328*u*y**2 + 75*u - y**2 + y wrt l?
23*u*y**2 + 118*y**2 - 884*y
What is the third derivative of 11005722*v**3 + 2*v**2 + 639*v - 10171 wrt v?
66034332
Find the first derivative of -25858*h**2*l - 57*h*l + 2*h - 531749*l - 13 wrt h.
-51716*h*l - 57*l + 2
Differentiate 18446*f**2 - 39*f + 115256779 wrt f.
36892*f - 39
What is the third derivative of 6*l**3*t - 1889145*l**3*w**3 + l**2*w**3 - 1512*l*t*w**3 + 5*l*t*w**2 + 73*t*w wrt l?
36*t - 11334870*w**3
What is the second derivative of -39689*h**5 - 40*h**4 - 90316559*h?
-793780*h**3 - 480*h**2
Differentiate -469245*b**3 - 26697788 with respect to b.
-1407735*b**2
What is the second derivative of 3072516*t**5 + 589024*t - 8?
61450320*t**3
What is the third derivative of -314464731*y**4 + 175422*y**2 - 2*y + 110 wrt y?
-7547153544*y
Find the third derivative of -96983702*i**4*t + 2*i**3*t + 27194*i**2*t + 30*i**2 - 62*i*t wrt i.
-2327608848*i*t + 12*t
Find the second derivative of 943*d**3*q**2 + 3*d**3 + 425*d**2 + d*q - 6669*q**4 + q + 1 wrt q.
1886*d**3 - 80028*q**2
What is the third derivative of 13497*h*i*j**3*v + 3*h*i*j*v - 480*h*j*v + 37*h*v - 4*i*j**2*v + 10617*j**4*v - v - 1 wrt j?
80982*h*i*v + 254808*j*v
What is the derivative of 18*d**3*i**3*u - 483230*d*i**3*u + 5987*i**3*u - 9*i**3 - 4*i**2*u + u wrt d?
54*d**2*i**3*u - 483230*i**3*u
Find the first derivative of -h*x*z + 9*h*x - 89*h*z + 192*h - 1812*x*z - x - z - 5 wrt z.
-h*x - 89*h - 1812*x - 1
Differentiate 549*y**4 - 30*y - 55820150.
2196*y**3 - 30
Find the second derivative of -195332*f**3*h**2 + 4*f**3*h + 2602*f**3 - 202*f**2*h**4 - 38*f**2 + 26*h - 2 wrt h.
-390664*f**3 - 2424*f**2*h**2
What is the third derivative of -11250*k**4*n**3 - k**4 + 6*k**3 - 1720*k**2*n**3 + 3*k**2*n**2 - 29*k*n**3 + k*n**2 wrt k?
-270000*k*n**3 - 24*k + 36
Find the second derivative of 115322367*h**2 - 430027*h + 4.
230644734
Find the second derivative of 602*t**3*u - 23119*t**2*u - 47686663*t*u + t wrt t.
3612*t*u - 46238*u
What is the third derivative of 45*n**5*t**3 - 135235*n**3*t**3 + 2*n**2*t - 1239*n*t**3 + 1663 wrt n?
2700*n**2*t**3 - 811410*t**3
Find the second derivative of -35437762*x**2 + 27683830*x wrt x.
-70875524
What is the second derivative of -12475582*m**5 - 2*m**4 + 2446*m + 2913?
-249511640*m**3 - 24*m**2
What is the second derivative of j**4 + j**3 + 48580*j**2 - 9035098*j wrt j?
12*j**2 + 6*j + 97160
What is the second derivative of -233505*k**4 | {
"pile_set_name": "DM Mathematics"
} |
g) = -3*g - 7*g**2 - 3*g + 7 + 8*g**z. Let a be (-1)/3 - 32/(-6). Calculate o(a).
2
Let b(s) = -s**2 + s - 2. Suppose -5*z = 5*h + 40, 2*z + 17 = h - 2*z. Give b(h).
-14
Let z(v) = 2*v**2 - 3*v - 2. Let m(j) = j - 2. Let f be m(6). Suppose f*l + o - 7 = 14, -4*l + 27 = -o. Suppose -2*b + l*b = 12. Give z(b).
7
Suppose 2*n = 4*n - 10, 3*g = -4*n + 26. Suppose 0*j = j - g. Suppose 0 = -i - 5*f + 1 + 1, j*f = -4*i - 10. Let r(s) = 3*s - 1. What is r(i)?
-10
Let t be (0 + 8)*(-9)/(-18). Let v(o) = -4*o**2 + o + 8. Let r(l) be the first derivative of -5*l**3/3 + 9*l + 2. Let z(q) = 3*r(q) - 4*v(q). Give z(t).
-5
Suppose 5*j - 11 = 3*s - 2*s, 3*j - 5*s = 11. Let i(t) = 0*t**2 - 6*t**j + 3*t + t**2 + t**3. Let w be (3 + -4)*-1 + 2. What is i(w)?
-9
Let v(b) = 3*b**2 - 3*b**2 + 6*b - b**3 + 4*b**2 - 6. Suppose -3*z - 55 = -5*m, -z - 16 = -2*m + 4. Let a be (z/6)/((-2)/6). Determine v(a).
-1
Let z be ((-27)/6)/(-3)*2. Let n(f) be the third derivative of -f**5/60 + f**4/12 - f**3/3 - 4*f**2. Calculate n(z).
-5
Let l(a) = -a**3 + a**2 + a. Let n(m) = -m**3 + 8*m**2 + m - 9. Let s be n(8). Let r(v) = -2*v**3 - v**2 + 4*v + 2. Let d(f) = s*r(f) + l(f). Give d(-2).
4
Let g(z) = -3*z. Let o be g(-1). Let y(t) = -o*t - 1 + 0*t + 2*t**2 + 3*t. Calculate y(2).
7
Let v(f) = -f**2 + f + 3. Let o be (-6)/2 + 6 + 0 + 1. Determine v(o).
-9
Let k = 9 + -15. Let p(n) = -n**3 - 5*n**2 + 6*n + 2. Let h be p(k). Let c(x) = 2*x**2 + 4*x**h - 5*x**2 + 5*x. Give c(-4).
-4
Suppose -3*z + 8 = 2*t, -4*z - 2*t = -t - 9. Let m(b) = -1 + 1 + 5*b + z*b. Calculate m(-1).
-7
Let u(b) = 3*b + 4. Let k be 52/(-8) - (-1)/(-2). Let m be (-36)/10 + 2/(-5). Let c = k - m. What is u(c)?
-5
Let z(s) be the second derivative of 15/2*s**2 + 0 - 5*s + 1/6*s**3. Give z(0).
15
Let q(p) = 6*p**3 - p**2. Let u(z) = z**2 - 4*z - 4. Let a be u(5). Let m be (a + -2 + -5)*-1. Suppose -4 = 2*r - m*r - 2*s, 3*s - 9 = -3*r. Calculate q(r).
-7
Let t(o) = 3*o + 3. Let l be t(-2). Let n(k) be the first derivative of k**4/4 + k**3 - k**2/2 - 2*k + 7. What is n(l)?
1
Let u be 0/(3*(-1)/(-3)). Let w(a) = -2*a**3 - 1 + 4*a**3 + a**2 + u*a**3. Determine w(-1).
-2
Let q(r) = -r**3 - 2*r**2 + 4*r + 8. Let l(i) = i**3 + i**2 - 3*i - 8. Let g(x) = 3*l(x) + 4*q(x). Give g(-6).
2
Suppose -3*a - 3 = -12. Suppose -3*s + 4*s = a. Suppose 2*k = -2*k - 3*o - s, -k = 2*o + 2. Let v(l) = -l**3 - l**2 - l - 5. What is v(k)?
-5
Let q(i) = 2*i**3 - i**2 - 3*i + 2. Suppose 0*w - m - 9 = -3*w, -29 = -5*w - 3*m. Suppose -3 = 4*l + 5. Let f = w + l. Determine q(f).
8
Let r(v) = -3*v**2 - v - 2. Let f be 1/(-4) - (-42)/(-24). Give r(f).
-12
Let m(s) = s + 4. Let i(b) = -b**2 + 5*b + 9. Suppose -4*q - 4*o = 0, -7 - 2 = 3*o. Suppose q*u - 25 = 2*g, 4*g = 4*u + u - 43. Let c be i(u). Determine m(c).
-1
Let h(w) be the first derivative of -w**2 - w + 13. What is h(3)?
-7
Let n(i) = -i**3 + 4*i + 4*i**2 + 9*i**2 - 10*i**2. Give n(4).
0
Let p(t) = t**2 - t - 14. Let b be ((-30)/(-9))/((-2)/(-3)). Suppose 2*m + 4*z + 4 - 24 = 0, 0 = 2*m - b*z + 25. What is p(m)?
-14
Let x(l) be the third derivative of -l**4/4 + l**3/6 + l**2. Let n = -11 - -7. Let h = 5 + n. What is x(h)?
-5
Let t(n) = -n**3 + n**2 - n - 6. Suppose 4 = -5*c + 4*u - 3*u, -u = -4. Give t(c).
-6
Let o(c) = -c. Let b be (-6)/(-21) - 2/7. What is o(b)?
0
Let t be 4/18 - 75/(-27). Let h(z) = -t - 6 - 11 - 4*z - 1. Let q(r) = 3*r + 14. Let w(i) = 5*h(i) + 7*q(i). What is w(5)?
-2
Let w(r) = r - 1. Let y(b) = b**2 - 3*b - 5. Let t be y(4). Let l(d) = d**2 - d - 1. Let x(s) = t*l(s) - w(s). What is x(-3)?
-7
Let y(n) = 3*n**3 + 6*n**2 - 3*n. Let j(v) = -v**3 - v**2 + v. Let i(l) = -4*j(l) - y(l). What is i(3)?
6
Let r(a) = a**2 - 6*a + 2. Let b = -1 + 6. Suppose b*i - 9 = 11. Determine r(i).
-6
Let k = 16 + -13. Let a(w) = -w + 3*w + 1 - k. Give a(-3).
-8
Let f(c) be the third derivative of c**6/120 + c**5/15 + c**4/8 + c**3/2 + 37*c**2. Suppose x + 3 + 1 = 0. What is f(x)?
-9
Let l(z) = -z + 6. Let f be 2 + -2 + -3 + 5. Suppose -4*n + 4*x + 4 = 0, -n + 7 = -4*x + 15. Suppose f*j - n - 6 = 0. Give l(j).
1
Let b(y) be the second derivative of y**5/20 + y**4/12 - y**2 + 32*y. Determine b(2).
10
Let o(p) = -7. Let w(l) = -10. Let c(j) = -7*o(j) + 5*w(j). Let h(b) = -b + 1. Let k(f) = -c(f) - 3*h(f). Calculate k(4).
10
Let w(g) = g**3 + 15*g**2 + 15*g + 15. Let m be w(-14). Let c(n) = m + 17*n**2 - 14*n**2 - 6*n**2. Calculate c(-2).
-11
Let u = 50 - 30. Suppose q + u = -5*t, -q + 30 = -5*t - 4*q. Let k(r) = -r**3 - 2*r**2 + 2*r + 3. What is k(t)?
6
Let j(p) = -p - 1. Let v be j(-7). Let l(d) = 5*d**2 + 12*d + 21. Let h(q) = -2*q**2 - 4*q - 7. Let i(y) = -8*h(y) - 3*l(y). Determine i(v).
5
Let c be -2 + (2/2 - -4). Let a(s) = s**3. Let f(m) = -5*m + 3. Let v(k) = k**3 + k**2 - k. Let z(o) = -f(o) + 2*v(o). Let t(x) = 3*a(x) - z(x). What is t(c)?
3
Let i be 2*-1*(0 - -2). Let g = -5 - -6. Let f(j) = g - 5 + 3*j + j + 8. Determine f(i).
-12
Let g = 3 + -1. Suppose -3*m + 30 = g*m. Let x(l) = -2*l + 3*l + m*l. Give x(1).
7
Let z(n) = -n**2 - 14*n - 6. Let f(l) = -l**2 - 15*l - 6. Let t(v) = -5*f(v) + 6*z(v). Calculate t(-4).
14
Let r(h) = -h**2 - h + 1. Let k = 6 - 3. Suppose -5*y + 3*a + 0*a = -100, 2*y - k*a = 40. Suppose 4*l = -5*j - l + y, -4*l + 18 = 5*j. Determine r(j).
-5
Let j(n) = -n**2 - 5*n - 6. Let h = 3 + 1. Suppose 0 = -0*o - o - h. What is j(o)?
-2
Let a = 10 + -8. Let x be 1*a + (-6 - -14). Let g = 6 - x. Let s(f) = -f**3 - 4*f**2 - f - 2. What is s(g)?
2
Let f(b) = -6*b**2 + 25*b - 46. Let n(q) = -q**2 + 5*q - 9. Let i(p) = -2*f(p) + 11*n(p). Determine i(-7).
7
Let q be (-1)/(85/40 + -2). Let a(y) = -y**3 - 7*y**2 + 6*y - 3. What is a(q)?
13
Let k(h) = h**2 - 7*h + 3. Suppose -4*o = -3*o - 7. Calculate k(o).
3
Suppose -n + 6*n - i = 6, 0 = -5*n - 5*i + 30. Let b be 12/9 + n/3. Let l(s) = s + 2*s**2 - 13 + 29 - 18. Determine l(b).
8
Let s = -2 - -8. Let u(z) = 5*z**2 - 8*z + 4. Let f(b) = 6*b**2 - 8*b + 3. Let d(x) = 4*f(x) - 5*u(x). What is d(s)?
4
Let a(q) = q**2 - q - 1. Suppose -2*v - 2*b = 2, 5*v - 2*b + 1 = 10. Let p(d) = -5*d**2 + 2*d + 5. Let n(u) = v*p(u) + 4*a(u). Calculate n(-4).
-7
Let j(q) = 2*q**3 + 7*q**2 + 5*q + 3. Let w be j(-3). Let l(u) be the third derivative of 1/2*u**3 + 1/24*u**4 + 0*u + u**2 + 0. Give l(w).
0
Let s(y) be the third derivative of y**5/60 - y**4/8 - 5*y**3/6 - 14*y**2. Give s(5).
5
Let b = 8 - 13. Let u(f) be the third derivative of f**2 + 5/24*f**4 + 0 - 7/6*f**3 + 0*f + 1/60*f**5. Give u(b).
-7
Suppose u + 11 = 5*d, d - 8 = -u + 5. Let y be 2/u - (-76)/(-18). Let w(l) = l. Let a be w(y). Let k(t) = t**3 + 3*t**2 - 2*t + 3. Give k(a).
-5
Let z(b) be the first derivative of 2 + b + 0*b**2 + 2*b**4 - 2/3*b**3. Calculate z(1).
7
Let h(b) = -3*b. Let s be (9 + -2)*(-2)/(-14). Determine h(s).
-3
Let u(f) be the second derivative of -3*f + 0 + 1/12*f**4 + 1/3*f**3 - f**2. Determine u(-3).
1
Let s(g) be the second derivative of g**5/20 - g**4/4 - 5*g**3/6 + 3*g**2/2 + 11*g. Determine s(3).
-12
Let n(d) = -3 + 2 - 2 - d. Let z = 2 + 1. What is n(z)?
-6
Let j(c) = -c**3 - c**2 - 1. Suppose 3*v + 62 - 11 = 0. Let f = v - -15. Calculate j(f).
3
Let p(v) be the third derivative of v**4/24 + 23*v**2. Calculate p(-1).
-1
Let n(v) = v**2 - v + 2. Let o = 13 - 11. Determine n(o).
4
Let f be 80/(-8) + (0 - -2). Let t(c) = c**2 + 9*c + 2. Determine t(f).
-6
Let k(j) be the first derivative of -j**3/3 - j**2/2 + j + 8. Give k(-2).
-1
Suppose 0*p - 2*p + 10 = 0. Let a = 6 - p. Let j(s) = -5*s + 1. Give j(a).
-4
Let g(j) be the first derivative of j**2/2 + 75. Let r = -4 - -2. Let i be 3 + -1 - (r - -5). What is g(i)?
-1
Let r be (-5)/(-2) - (-2)/4. Let n(x) = -7*x - r*x + x. Suppose 33*v = 12*v - 21. Give n(v).
9
Let y(d) = d**2 + 5*d - 8. Let o = 3 - 10. Give y(o).
6
Let n be 1 + (2 - (5 + -2)). Let s(h) = -3*h + h**2 + 3*h + n + 5*h + 1. Calculate s(-4).
-3
Let p(l) = 5*l - 7. Let z(g) = 6*g - 8. Let c(d) = 5*p(d) - 4*z(d). Suppose -2*s + 4 + 4 = 0. Suppose s*k + 25 = -k. Give c(k).
-8
Let h(i) = 4 + 1 + 2*i + 1. Determine h(-4).
-2
Let n(q) = -q**3 - 3*q**2 - 3. Suppose -2*a = -2*u + 12, 3*u + 0*a - 18 = 2*a. Suppose u = -2*r - 0*r. Give n(r).
-3
Let w be 2 + (1 + -19)/(-2). Suppose -4*c = -4*i + 16, 4*c + i - 4*i = -w. Let v(r) = r + 1. Calculate | {
"pile_set_name": "DM Mathematics"
} |
Let i(w) = -1775*w - 450. Let t(p) = 48*p + 12. Let f(h) = 2*i(h) + 75*t(h). Calculate n(f(v)).
-1000*v
Let w(q) = 2*q**2. Let s(r) = -6544330*r**2. Determine w(s(y)).
85656510297800*y**4
Let k(j) = -j**2. Let d(c) be the first derivative of -7*c**5/20 + 5*c**2 + 1. Let t(v) be the second derivative of d(v). Calculate k(t(f)).
-441*f**4
Let u(z) = -4*z**2 + 0*z**2 + z**2. Let t(w) be the first derivative of w**5/30 + 11*w**2/2 + 1. Let a(q) be the second derivative of t(q). Determine u(a(h)).
-12*h**4
Let s(t) = -10*t. Let d(r) = 16*r - 12. Let l(x) = 437*x - 322. Let n(v) = -161*d(v) + 6*l(v). Determine n(s(j)).
-460*j
Let w(p) = 17*p**2 - 24*p - 8. Let f(z) = 6*z**2 - 9*z - 3. Let l(j) = -8*f(j) + 3*w(j). Let d(o) = 10*o. Determine l(d(c)).
300*c**2
Let c(q) = 2*q. Let d(x) = -2*x + 122316. What is c(d(r))?
-4*r + 244632
Let z(m) = -6*m. Let k(l) = 5*l**2 - 5196*l + 2. Calculate z(k(b)).
-30*b**2 + 31176*b - 12
Let h(s) = 4*s**2. Suppose 0 = -4*j + 5*j - 6. Let l(c) = 10*c - c - j*c. Give l(h(p)).
12*p**2
Let j(r) be the second derivative of -43*r**4/12 - 5*r + 3. Let n(l) = -3*l. What is n(j(g))?
129*g**2
Suppose 5*b - 12 = 4*m + 10, 3*m - 1 = -5*b. Let l(h) = h + 1. Let k(q) = 8*q + 7. Let w(o) = m*k(o) + 21*l(o). Let p(g) = -17*g**2. Calculate w(p(c)).
51*c**2
Let w(h) = -5975*h + 6. Let c(n) = 33*n. What is c(w(y))?
-197175*y + 198
Let k(w) = 2924*w + 2. Let t(u) = -9*u - 1. Determine t(k(b)).
-26316*b - 19
Let x(n) = 2*n. Let j(i) = 2*i - 16. Let l be j(7). Let b(p) = p**2 - p - 1. Let v be b(l). Let m(s) = -4*s - v*s + s + 3*s. Calculate m(x(w)).
-10*w
Let c(o) = 2*o**2. Let z(w) = -1. Let p(g) = -13*g**2 - 12*g - 2. Let r(n) = p(n) - 2*z(n). Give c(r(k)).
338*k**4 + 624*k**3 + 288*k**2
Let d(o) = 7*o + 26. Let k(s) = -15*s**2 + 21. Determine d(k(r)).
-105*r**2 + 173
Let d(c) = 20*c. Let m(x) = -5*x**2 + 6*x - 6. Let t(s) = s**2 - 100 - s + 0*s + 101. Let j(i) = m(i) + 6*t(i). What is d(j(u))?
20*u**2
Let d(w) = 20. Let c(y) = -7. Let v(u) = -17*c(u) - 6*d(u). Let n = 28 + -32. Let f(x) = x + 4. Let h(r) = n*v(r) - f(r). Let p(t) = -2*t**2. Determine h(p(s)).
2*s**2
Let g(m) be the first derivative of m**3/3 - 458. Let s(c) be the first derivative of -11*c**2 + 1. Calculate g(s(o)).
484*o**2
Let r(a) = -a + 3*a + 1 - 1. Let z(c) be the third derivative of 37*c**5/60 + 24*c**2. Calculate z(r(j)).
148*j**2
Let t(n) = -38*n + 309. Let a(g) = g**2. What is a(t(v))?
1444*v**2 - 23484*v + 95481
Let t(s) = -77*s**2 - 9. Let j(p) = 19*p**2 + 2. Let w(z) = 9*j(z) + 2*t(z). Let q(k) = -5*k. What is w(q(u))?
425*u**2
Let l(j) = -56*j. Let n(h) = -514*h**2. Give n(l(m)).
-1611904*m**2
Let i(s) = 134*s**2. Let u(r) = -1510*r. Give u(i(x)).
-202340*x**2
Let v(b) = 2*b**2. Suppose -60*j + 32 = -59*j. Suppose -2*s + 10 + 50 = 0. Let i(l) = -j + 32 - s*l. What is i(v(h))?
-60*h**2
Let o(s) = 3*s**2. Let u(c) = -124*c - 119*c + 241*c. What is u(o(n))?
-6*n**2
Let b(q) = 42*q. Let a(i) = -3487641 + 3487641 - 37*i. Give a(b(d)).
-1554*d
Let l(z) = -z**2. Let n(g) be the second derivative of -g**3/2 + g + 30. Give l(n(s)).
-9*s**2
Let w(t) be the first derivative of 0*t**2 + 1/3*t**3 + 0*t + 1. Let n(o) = 3*o - 1. Let j(c) = -2*c + 1. Let q(z) = -2*j(z) - 2*n(z). Give w(q(f)).
4*f**2
Let b(p) be the second derivative of -p**3/3 + 7*p. Let t(q) = 6*q. Let l(r) = -6*r. Let k(u) = -6*l(u) - 4*t(u). Give k(b(v)).
-24*v
Let a(m) = 36660*m**2 - 845*m + 5915. Let p(n) = -130*n**2 + 3*n - 21. Let s(r) = -6*a(r) - 1690*p(r). Let d(z) = -z. Determine d(s(b)).
260*b**2
Let n(t) = -45*t. Suppose 23*m = 19*m + 2460. Let x(z) = -m + 615 + z. Determine x(n(g)).
-45*g
Let v(o) = 0*o + o + o. Let m(c) = 18*c - 2. Let q be m(2). Let x(y) = 4*y**2. Let f(k) = -23*k**2. Let r(z) = q*x(z) + 6*f(z). Calculate r(v(a)).
-8*a**2
Let l(t) = 2*t**2. Let m(q) be the second derivative of 7*q**4/3 + 8*q + 25. Calculate m(l(p)).
112*p**4
Let g(m) = 15*m**2. Let i(f) be the second derivative of -f**6/360 - f**4/12 + 3*f. Let k(d) be the third derivative of i(d). What is g(k(z))?
60*z**2
Let s(i) = 5*i. Let c(o) = -207*o. What is c(s(a))?
-1035*a
Let s(x) = 2*x**2. Let t = 166 - 164. Let u(k) be the third derivative of 4*k**t + 0*k + 0*k**3 + 0 + 1/24*k**4. What is u(s(v))?
2*v**2
Let w(m) = 19*m. Let n = -80 + 82. Let z(u) = -328*u + u**n + 328*u. Calculate z(w(x)).
361*x**2
Let q(m) = -31*m + 16*m + 19*m. Suppose 4*r = 17 - 1. Let c(l) = -9*l**2 + 10*l**2 + r - 4. Calculate c(q(z)).
16*z**2
Let c(f) = -2*f**2. Let k(a) be the first derivative of 86*a**3/3 - 80. What is k(c(h))?
344*h**4
Let m(w) = -w. Let r(c) = 13437*c. Determine r(m(s)).
-13437*s
Let y(c) = -18*c**2 - 2. Let v(f) = 24*f - 5. Let n(a) = 29*a - 6. Let m(t) = -5*n(t) + 6*v(t). Calculate y(m(o)).
-18*o**2 - 2
Let a(n) = -4*n. Let x = 45 + -43. Let i(s) = 2*s - 2*s - 34*s**2 + 32*s**x. Calculate i(a(m)).
-32*m**2
Let d(n) = 72*n + 1. Let v(s) = 2*s**2 + 7*s - 7. What is v(d(i))?
10368*i**2 + 792*i + 2
Let l(m) be the third derivative of m**5/60 - 18*m**2 + 3*m. Let q(t) = -4*t**2 + 10*t. Give l(q(x)).
16*x**4 - 80*x**3 + 100*x**2
Let z(w) = -36*w**2. Let y(i) be the third derivative of 11*i**4/24 + 198*i**2. Calculate z(y(b)).
-4356*b**2
Let i(a) = 5*a**2 - 4*a**2 + 43 + a**2. Let c(b) = 127*b - 5. Let r(z) = 406*z - 16. Let u(h) = -16*c(h) + 5*r(h). Determine i(u(d)).
8*d**2 + 43
Let n(d) be the first derivative of 7 + 0*d - 1/2*d**2. Let t(c) = -14*c**2 - 8*c - 8. Let r(s) = 9*s**2 + 5*s + 5. Let q(w) = -8*r(w) - 5*t(w). Give n(q(h)).
2*h**2
Let w(d) = 514*d**2. Let v(j) = 2625*j. Determine v(w(z)).
1349250*z**2
Let x(f) be the second derivative of 17*f + 0 + 0*f**2 + 1/3*f**3. Let s(z) = 4*z**2 + 8*z - 8. Let m(v) = v - 1. Let l(t) = 8*m(t) - s(t). What is x(l(k))?
-8*k**2
Let k(i) = -181*i - 1. Let h(z) be the second derivative of -z**4/12 + z + 19. Give k(h(q)).
181*q**2 - 1
Let p(k) = -k. Let d(s) = -240747*s**2. Determine p(d(j)).
240747*j**2
Let b(r) = r**2 + 2*r**2 - 2*r**2. Let i(d) be the second derivative of -d**3/2 + 95*d + 2. What is b(i(j))?
9*j**2
Let w(c) = -3*c. Let v(s) = 181*s + 48*s - 38*s + 31*s. Calculate w(v(y)).
-666*y
Let c(b) = 80*b**2 - 35*b - 70. Let d(m) = 9*m**2 - 4*m - 8. Let y(a) = 4*c(a) - 35*d(a). Let j(l) = -9*l**2 - 12*l**2 + 36*l**2 - 10*l**2. Determine j(y(s)).
125*s**4
Let f(v) = -2*v. Let p = 152 - 151. Let x(m) = -1 - 422*m**2 + p + 417*m**2. Determine x(f(q)).
-20*q**2
Let s(q) = -52*q. Let w(m) be the second derivative of m**3/3 + 4*m. Determine w(s(j)).
-104*j
Let g = -30 - -32. Let t(o) = -15 + g*o + 3 + 12. Let d(f) = 3*f**2. Give d(t(w)).
12*w**2
Let r(a) = 10*a + 18*a - 9*a - 8*a. Let s(v) = -v - 33. Give r(s(t)).
-11*t - 363
Let m(o) be the second derivative of o + 0*o**2 + 0 - 1/3*o**3. Let z(l) = 18*l. Calculate m(z(x)).
-36*x
Let r(m) = 2*m**2. Let o(z) = -769 + 769 + 236*z. Determine o(r(v)).
472*v**2
Let d(y) = 526*y. Let c(b) = 141*b**2. What is d(c(t))?
74166*t**2
Let l(h) be the first derivative of -41*h**3 + 161. Let r(z) = 4*z. Give l(r(t)).
-1968*t**2
Suppose -3*d = -4*f - 23, 3*f = 3*d + 2*d - 42. Let b(y) = d*y**2 + y - y. Let w(p) = -2*p - 7*p + 4*p + 4*p. Give w(b(z)).
-9*z**2
Let y(g) = 2*g. Suppose 0 = 27*h + 12*h + 25*h. Let p(k) be the second derivative of h*k**3 + 3*k + 0 + 0*k**2 - 1/2*k**4. Determine y(p(v)).
-12*v**2
Let t(h) = 72*h - 138*h + 67*h. Let j(c) = 8*c - 11. Give t(j(n)).
8*n - 11
Let k(j) = -2*j. Let a(m) = -2*m + 4*m + 9 + 1. Let y be a(-5). Let x(t) = 3 - 3 - 8*t + y. Give k(x(r)).
16*r
Let v(g) = -g**2 - 3*g - 6. Let s(o) = 10*o**2 + 25*o + 50. Let u(z) = -3*s(z) - 25*v(z). Let h(l) = -2*l - 4*l + 4*l. Determine u(h(d)).
-20*d**2
Let p(i) = -2*i**2. Let w(n) = 155*n. Let u = 23 + -38. Let l be 3/(-9) - 530/u. Let b(k) = 13*k. Let m(z) = l*b(z) - 3*w(z). Give m(p(t)).
20*t**2
Let j(v) = -v. Let p(y) be the third derivative of 1/8*y**4 + 0*y**3 + 0 + 0*y + 19*y**2. Give j(p(q)).
-3*q
Let o(r) = -43*r**2. Let y(v) = -v. Let d(c) = 2*c. Let t(i) = -5*d(i) - 8*y(i). Calculate o(t(k)).
-172*k**2
Let o(l) = -172*l. Let s(b) = -485*b**2. Calculate s(o(i)).
-14348240*i**2
Let z(r) be the first derivative of -2*r**3/3 - 783. Let u(x) = -5*x - 172. Determine z(u(v)).
-50*v**2 - 3440*v - 59168
Let k(u) = -15*u**2 + 12*u - 24. Let t(w) = -6*w** | {
"pile_set_name": "DM Mathematics"
} |
) = 0.
0, 1
Let o(i) be the third derivative of 1/30*i**6 + 0*i + 1/15*i**5 - 1/105*i**7 - 1/12*i**4 - 1/168*i**8 + i**2 - 1/3*i**3 + 0. Factor o(z).
-2*(z - 1)**2*(z + 1)**3
Factor 117*v + v**3 + 125 + 36*v + 15*v**2 - 78*v.
(v + 5)**3
Let h(q) be the second derivative of -q**7/2160 - q**6/864 + q**5/360 - 7*q**4/12 - 5*q. Let n(c) be the third derivative of h(c). Solve n(v) = 0 for v.
-1, 2/7
Let r(w) = 36*w**2 + 21*w. Let g = -2 - 0. Let v(q) = -5*q**2 - 3*q. Let k(y) = g*r(y) - 15*v(y). Factor k(u).
3*u*(u + 1)
Let z = -32/3 + 34/3. Factor 1/3 - q + z*q**2.
(q - 1)*(2*q - 1)/3
Let x = 40 + -199/5. Let l be 0/2*(-3 - -2). Factor x*i**2 + 1/5*i + l.
i*(i + 1)/5
Let q(r) be the third derivative of -r**8/560 + r**7/350 + r**6/200 - r**5/100 - 5*r**2. Determine p, given that q(p) = 0.
-1, 0, 1
Let n(o) be the first derivative of 1/13*o**4 - 3 + 1/39*o**6 - 3/13*o**2 + 6/65*o**5 - 4/39*o**3 - 2/13*o. Factor n(q).
2*(q - 1)*(q + 1)**4/13
Let b(g) = -25*g**2 + 19*g + 8. Let n(i) = 66*i**2 + 13*i - 128*i + 21*i + 58*i**2 - 41. Let h(o) = -11*b(o) - 2*n(o). Factor h(q).
3*(q - 1)*(9*q + 2)
Let s = -551 - -1669/3. Suppose 2/3*b**4 + 0 + 10/3*b**3 + 8/3*b + s*b**2 = 0. What is b?
-2, -1, 0
Factor -45*l**2 + 2 + 49*l**2 + 6 - 12*l.
4*(l - 2)*(l - 1)
Let j(f) = -52*f**5 - 222*f**4 - 292*f**3 - 144*f**2 - 10*f - 6. Let g(u) = u**4 - u + 1. Let h(i) = -6*g(i) - j(i). Determine l, given that h(l) = 0.
-2, -1, -2/13, 0
Let i = 157 - 155. Let o(x) be the third derivative of 1/2*x**3 + x**i + 0 + 0*x + 3/4*x**4 + 9/20*x**5 + 1/10*x**6. Factor o(g).
3*(g + 1)**2*(4*g + 1)
Let a = 0 + 3. Let d(c) be the second derivative of 5/12*c**4 + 1/3*c**a + 0*c**2 + 2*c + 0. Factor d(l).
l*(5*l + 2)
Let s be 6*(-6)/(-1440) - 6/(-16). Factor 0 - 4/5*w**4 + 2/5*w**2 + 0*w + s*w**3.
-2*w**2*(w - 1)*(2*w + 1)/5
Let h(j) be the second derivative of 1/30*j**4 + 0*j**3 - 1/75*j**6 + 0 - 1/50*j**5 + 0*j**2 + 1/105*j**7 + 3*j. Factor h(z).
2*z**2*(z - 1)**2*(z + 1)/5
Let b(u) be the third derivative of -2/735*u**7 + 0*u**6 + 0*u + 0 + 1/105*u**5 - 2*u**2 - 1/84*u**4 + 1/1176*u**8 + 0*u**3. Factor b(n).
2*n*(n - 1)**3*(n + 1)/7
Let g be 4/22 - (-30)/(-165). Find u such that g + 0*u + 4/9*u**2 + 2/3*u**3 + 2/9*u**4 = 0.
-2, -1, 0
Let k(c) = 2*c**2 + 4*c - 5. Let v be k(-5). Let i be v/6 + (-3)/18. Factor 2/3*l**i + 0*l**3 + 0*l**2 + 0*l + 0.
2*l**4/3
Let u(j) = j**2 - 2*j - 1. Let y be u(3). Determine q, given that 2*q**3 - 4*q**3 - 4*q**y + 0*q**3 + 0*q**3 = 0.
-2, 0
Let -2*r**3 - 5 - 4*r**2 + 17 + 24*r - 32*r + 18*r = 0. Calculate r.
-3, -1, 2
Suppose -4*x - p + 28 = 0, 3*p - 12 = -5*x + 30. Let h(v) be the second derivative of 0 - 1/9*v**3 - 1/90*v**x + 1/30*v**5 + 0*v**4 - v + 1/6*v**2. Factor h(u).
-(u - 1)**3*(u + 1)/3
Suppose r + 9 = 4*r. Let x(g) be the third derivative of -1/108*g**4 - g**2 + 0 + 0*g**r + 1/540*g**6 + 0*g + 0*g**5. Factor x(o).
2*o*(o - 1)*(o + 1)/9
Let p be 90/27 - (-4)/6. Suppose -c + 0*c + 4 = -5*d, p*d - 3*c + 12 = 0. Factor -1/2*k**4 + 0*k + d + 0*k**2 + 1/2*k**3.
-k**3*(k - 1)/2
Let b(n) be the second derivative of -n**6/240 + 3*n**5/80 - 5*n**4/96 + 16*n. Factor b(f).
-f**2*(f - 5)*(f - 1)/8
Let t be 43/12 - (-4)/(-16). Let b be (-3 + 6 + -3)/(-2). Determine m so that 0*m - 4/3*m**2 + b + t*m**5 + 6*m**3 - 8*m**4 = 0.
0, 2/5, 1
Suppose 6*h - 5*h = 3. Suppose 2*z + 2*r = r - 1, -z - 13 = h*r. Solve 0 + 2*d**z - 4/3*d = 0 for d.
0, 2/3
Let s(l) be the first derivative of 2 - 3/20*l**4 - 2/5*l - 9/10*l**2 - 2/3*l**3. Factor s(f).
-(f + 1)*(f + 2)*(3*f + 1)/5
Factor -7*t**3 + 6*t**3 + 5*t**4 - 7*t**4 + t**2.
-t**2*(t + 1)*(2*t - 1)
Let f = -1 - -1. What is k in 0*k + 0*k**3 - 1/3*k**5 - 1/3*k**4 + f*k**2 + 0 = 0?
-1, 0
Let a(j) be the first derivative of j**6/360 + j**5/30 + j**4/6 - j**3/3 + 3. Let g(n) be the third derivative of a(n). Solve g(b) = 0 for b.
-2
Suppose -4*t = 4*c - 3*c - 23, -3*t = 3*c - 15. Let y be 1/(1 - t/9). Find m such that y*m**4 - 2*m**4 + 2*m**3 + m**2 + 0*m**3 = 0.
-1, 0
Let 2/3*h**2 + 0 - 2/3*h = 0. Calculate h.
0, 1
Let u = 2 - 2. Let k(c) be the first derivative of -1/20*c**4 + 1 + 1/10*c**2 - 4/25*c**5 + u*c + 4/15*c**3. Factor k(m).
-m*(m - 1)*(m + 1)*(4*m + 1)/5
Factor 40/7*b - 16/7*b**2 - 32/7 + 2/7*b**3.
2*(b - 4)*(b - 2)**2/7
Let u(q) = -q + 1. Let z(a) be the second derivative of a**6/30 + a**5/10 + 3*a**3/2 - 6*a**2 - 2*a. Let k(j) = 22*u(j) + 2*z(j). Factor k(n).
2*(n - 1)*(n + 1)**3
Let k(z) be the first derivative of -z**6/12 + 3*z**4/8 + z**3/3 + 5. Determine d, given that k(d) = 0.
-1, 0, 2
Let 8/3*j - 2/3 + 15/2*j**4 + 25/6*j**2 - 41/3*j**3 = 0. Calculate j.
-2/5, 2/9, 1
Let i be ((-2)/(-4))/(2/16). Let u(d) = -d**3 + 6*d**2 - 3*d - 6. Let t be u(5). Factor 0*j**2 - 4*j**i + 2*j**5 + j + t*j**2 - 3*j + 0*j**2.
2*j*(j - 1)**3*(j + 1)
Let v(d) = 4*d**4 - 5*d**3 - 7*d**2 + 8*d - 3. Let a(t) = -t**3 + t**2 + 1. Let k(p) = 3*a(p) + v(p). Factor k(c).
4*c*(c - 2)*(c - 1)*(c + 1)
Let d(y) be the first derivative of 0*y + 4/3*y**3 - 1 + y**2 + 1/2*y**4. Factor d(p).
2*p*(p + 1)**2
Factor 12*q**3 - 6 - 3*q**5 - 6*q + 6*q**2 - 3*q + 0*q.
-3*(q - 2)*(q - 1)*(q + 1)**3
Let s(i) be the second derivative of 3*i + 1/15*i**5 + 0*i**4 + 0*i**2 + 1/63*i**7 + 0 + 0*i**3 - 1/15*i**6. Factor s(x).
2*x**3*(x - 2)*(x - 1)/3
Let x(l) = 2*l**3 + 3*l**2 - 6*l + 3. Let o be x(1). Determine g, given that 2/5*g**o + 8/5 - 8/5*g = 0.
2
Let -2/5*g - 2/5*g**2 + 2/5 + 2/5*g**3 = 0. What is g?
-1, 1
Let s(u) be the third derivative of u**8/840 - u**7/140 + u**6/60 - u**5/60 + u**3/3 + 2*u**2. Let r(a) be the first derivative of s(a). Factor r(g).
2*g*(g - 1)**3
Let p(n) be the second derivative of n**4/60 + n**3/30 + 7*n. Suppose p(f) = 0. Calculate f.
-1, 0
Let x = 576/5 - 114. Suppose -x*r**3 + 0*r - 2/5*r**4 + 0 - 4/5*r**2 = 0. Calculate r.
-2, -1, 0
Let c(o) be the second derivative of o**4/66 - 8*o**3/33 - 9*o**2/11 - 3*o - 2. Suppose c(r) = 0. Calculate r.
-1, 9
Let n = 28 + -24. Determine c so that 2/3*c + 0*c**3 + 4/3*c**2 - 2/3*c**5 + 0 - 4/3*c**n = 0.
-1, 0, 1
Suppose -5*a + 3*a = -6. Let z(u) be the first derivative of 0*u**2 + 1/10*u**5 + 1 - 5/16*u**4 + 1/6*u**a + 0*u. Factor z(m).
m**2*(m - 2)*(2*m - 1)/4
Suppose -2*o**2 - 1 + 0*o**2 + o + 3 - 4*o**3 + 3*o**3 = 0. Calculate o.
-2, -1, 1
Let o = 6 + -2. Suppose -3*z - 2 = -o*z. Factor 4*g**4 - g**5 + 2 - z - g**2 + g**3 - 3*g**4.
-g**2*(g - 1)**2*(g + 1)
Find u, given that -27*u**2 + 1 - 32*u**2 - 5 + 60*u**2 = 0.
-2, 2
Let f(p) = 4 - 3*p - p - 2 + p**2 + p. Let k be f(3). Factor 4/3*w**k + 0*w + 0 - 2*w**3 - 10/3*w**4.
-2*w**2*(w + 1)*(5*w - 2)/3
Let g be (4/(-16))/(2*(-5)/24). Factor 6/5*f**2 + 0 + g*f**3 + 3/5*f.
3*f*(f + 1)**2/5
Let g(a) be the second derivative of -a**6/25 - 13*a**5/100 + 47*a**4/60 + a**3/3 - 4*a**2/5 + a - 9. Find f, given that g(f) = 0.
-4, -1/2, 1/3, 2
Factor 1/4*g - 1/4*g**3 - 5/4 + 5/4*g**2.
-(g - 5)*(g - 1)*(g + 1)/4
Let x(c) be the third derivative of -c**7/350 + c**6/200 + 9*c**2. Factor x(g).
-3*g**3*(g - 1)/5
Find l such that -2/9*l**2 + 4/9 - 2/9*l = 0.
-2, 1
Let o(j) = 3*j**2 - 5*j - 6. Let b = -4 + 6. Let t(d) = 6*d**2 - 11*d - 12. Let q(p) = b*t(p) - 5*o(p). Let q(k) = 0. Calculate k.
-1, 2
Let o(b) be the second derivative of b**4/42 + 17*b - 2. Determine n so that o(n) = 0.
0
Suppose -45 - 45 = 2*n. Let q = n - -157/3. Factor 14/3*m**3 - 32/3*m**2 + q*m - 4/3.
2*(m - 1)**2*(7*m - 2)/3
Suppose -5*s + 17 = 3*o, 0 = -5*o - 0*o - 5. Let z(h) = -h**2 - h + 2. Let v(t) = -t**2 - t + 2. Let l(j) = s*z(j) - 3*v(j). Factor l(u).
-(u - 1)*(u + 2)
Factor -4/17*c**2 + 2/17*c + 2/17*c**3 + 0.
2*c*(c - 1)**2/17
Suppose 9*g = 5*g + 20. Factor 1 + 3*l + l**3 + g*l**2 + 5*l**2 - 7*l**2.
(l + 1)**3
Let q(h) be the second derivative of h**4/30 - 13*h**3/15 - 14*h**2/5 + 34*h. Factor q(c).
2*(c - 14)*(c + 1)/5
Let l be 4154/18 + 4/18. Let h be 4/(-14) - (-1375)/l. Suppose 16/3*z + 5/3*z**3 + h*z**2 + 4/3 = 0. Calculate z.
-2, -1, -2/5
Let c be (-20)/(-75) + (-3)/12. Let t(m) be the third derivative of c*m**5 + 1/24*m**4 + 2*m**2 + 0 + 0*m + 0*m**3. Determine z so that t(z) = 0.
-1, 0
Suppose 3*g = -2*g - v - 45, -2*v - 18 = g. Let n = -6 - g. Factor 0*q**5 - 3*q**4 + 1 + 0 - 3*q + q**5 + n*q**3 + 2*q**2.
(q - 1)**4*(q + 1)
Suppose 1/2*a - 1/2*a**3 - 5/2*a**2 | {
"pile_set_name": "DM Mathematics"
} |
*a. Let j(q) = 6*q - 75. What is g(j(t))?
175098*t - 2188725
Let b(s) = -s**2 - 8*s - 2. Let i(m) = 18*m**2 + 132*m + 33. Let r(v) = -66*b(v) - 4*i(v). Let o(p) = 38 - 38 + 3*p - 7*p. Determine r(o(d)).
-96*d**2
Let j(q) = 388*q**2. Let l(a) = 19*a - 1. Let f(x) = 112*x - 6. Let p(t) = -f(t) + 6*l(t). Calculate p(j(v)).
776*v**2
Let d(o) be the second derivative of -o**4/4 + 416*o. Let x(c) = -24*c - 1 + 1 - 5*c. Determine x(d(u)).
87*u**2
Let z(f) = -2*f - 82. Let k(l) be the second derivative of -11*l**4/12 + l - 274. What is k(z(m))?
-44*m**2 - 3608*m - 73964
Let a(o) = 1714*o. Let l(s) = -38884*s**2. Determine l(a(z)).
-114233259664*z**2
Let x(n) = -3*n - 12. Let o(r) = -7 - 2 + 9 + 13*r - 8*r. Determine o(x(d)).
-15*d - 60
Let k(u) = u**2. Let f(r) = -516*r + 1993*r + 5052*r - 816*r. Determine f(k(i)).
5713*i**2
Let x(f) = -151027547*f. Let k(h) = -h**2. Give k(x(a)).
-22809319952837209*a**2
Let q(r) = r. Let o(c) = 2602*c**2 - 5*c - 15. Let p(f) = 2601*f**2 - 6*f - 18. Let j(v) = 6*o(v) - 5*p(v). Determine j(q(i)).
2607*i**2
Let b(v) = -37*v**2 - v. Let r(t) = t**2 + 7*t + 43. Let c be r(-5). Let n(d) = -c*d**2 + 89*d**2 - 27*d**2 - 27*d**2. What is n(b(g))?
2738*g**4 + 148*g**3 + 2*g**2
Let p(i) be the third derivative of i**5/5 + 8181*i**2. Let h(r) = -280*r. What is p(h(o))?
940800*o**2
Let l(g) = -g**2. Let h = -145 - -169. Let d(i) = -4*i - 24. Let f(j) = 6. Let w(q) = h*f(q) + 6*d(q). Give l(w(v)).
-576*v**2
Let k(g) = -197*g + 76. Let f(o) = 9849*o - 3819. Let a(l) = -4*f(l) - 201*k(l). Let q(y) = -5*y. Determine a(q(u)).
-1005*u
Let b(p) = -21*p. Suppose 7712 = -21*g + 25*g. Let o(d) = -g*d + 1928*d - 9*d**2. Calculate b(o(q)).
189*q**2
Let l(z) be the third derivative of -z**4/12 + 1397*z**2. Let n(d) = -2*d**2 + 553*d. Determine l(n(r)).
4*r**2 - 1106*r
Let m(k) = 2*k**2. Let s(n) = -9806*n + 8. Give s(m(p)).
-19612*p**2 + 8
Let i(h) = h + 9. Let g be i(-6). Suppose 5*j = 2*k + 12, -2 = g*j - k - 9. Let q(l) = -2*l**j - 4*l**2 + 5*l**2 + 2*l**2. Let f(t) = t. Determine f(q(p)).
p**2
Let f(n) = -2*n. Let t(v) = 6170266*v. Give f(t(l)).
-12340532*l
Let c(l) = 6*l - 2. Let r(y) = 14*y - 5. Let t(b) = 5*c(b) - 2*r(b). Let j(q) be the second derivative of 2*q**3/3 + q**2/2 - 14*q. Give t(j(w)).
8*w + 2
Let m(v) = 9*v. Suppose 2249 = 18*r - 5*r. Let c(d) = -173 + r + 2*d**2. Calculate c(m(i)).
162*i**2
Let y(t) = 3280*t**2. Let p(w) be the second derivative of w**4/12 - 25*w. Determine y(p(c)).
3280*c**4
Let l(b) = 4*b - 3. Let r(z) = -2*z + 2. Let d(p) = -2*l(p) - 3*r(p). Let t(k) = 2*k - 344. Calculate t(d(w)).
-4*w - 344
Let v(b) = 465*b**2 + 456*b**2 - 929*b**2. Let y = -11 + 17. Let o(r) = 4*r - y*r + 6*r. Determine o(v(k)).
-32*k**2
Let k(c) = 713373*c**2. Let a(u) = -2*u**2 - 51. What is a(k(w))?
-1017802074258*w**4 - 51
Let b(r) = 5*r + 2*r - 10*r + 4*r. Let k(y) be the third derivative of -y**6/90 - y**3/6 - 3*y**2. Let w(v) be the first derivative of k(v). Calculate w(b(l)).
-4*l**2
Let z(b) = -b**2. Let u(y) = -8278531*y**2. Calculate u(z(p)).
-8278531*p**4
Let g(i) = -1988*i**2. Let m(k) = -6406*k. What is m(g(t))?
12735128*t**2
Let s(n) = n - 14824. Let k(j) = 129*j**2 + 2. Calculate s(k(q)).
129*q**2 - 14822
Let i(x) be the second derivative of 1379*x**4/12 + 8907*x. Let p(o) = 5*o. Determine p(i(z)).
6895*z**2
Let l(t) = 443908*t**2. Let d(a) = -18*a**2. Calculate l(d(f)).
143826192*f**4
Let h(s) = -42*s**2 + 73*s**2 - 34*s**2. Let w(r) = 23*r - 2. What is w(h(x))?
-69*x**2 - 2
Let d(j) be the second derivative of 11*j**3/3 - 19*j**2 + 188*j + 3. Let a(t) = -2*t. Determine d(a(u)).
-44*u - 38
Let s(d) = -11*d + 0 + 0. Let v(x) be the third derivative of -x**4/12 + 146*x**2. Let u(i) = 5*i. Let c(f) = -3*u(f) - 7*v(f). Give c(s(y)).
11*y
Let u(r) = 851*r**2 - 1. Let h(c) = 49688*c. Determine u(h(y)).
2101031639744*y**2 - 1
Let l(d) be the second derivative of d**3/6 - 921*d + 1. Let b(c) = -303*c**2. Determine l(b(t)).
-303*t**2
Let w be (8/(-28))/(4/(-28)). Let h(k) = -2*k**2 - 27*k**2 - 51*k**w. Let v(u) = -u. Determine v(h(n)).
80*n**2
Let s(g) = -20*g**2. Let h(a) = -4289390*a - 7. Determine h(s(x)).
85787800*x**2 - 7
Let s(p) = -15*p. Let q = 13591 - 13581. Let o(l) be the first derivative of 1/3*l**3 + 0*l + 0*l**2 + q. Calculate o(s(c)).
225*c**2
Let m(c) be the second derivative of -55*c**4/12 - c. Let h(a) be the first derivative of -2*a**3/3 + 62752. Give m(h(k)).
-220*k**4
Let h(w) = w + 1. Let m be (-1 - 90 - (-45 - -47)) + -4. Let u(j) = -97*j**2 - 97*j - 97. Let n(b) = m*h(b) - u(b). Let p(a) = 4*a**2. Calculate p(n(s)).
37636*s**4
Let x(i) = 35002155*i. Let w(v) = -2*v**2. Determine x(w(m)).
-70004310*m**2
Let j be 0 - (3 + 8/(-2)). Let t(z) = 3 - 3 - 3 + j - 2*z. Let n(b) = 1 + 108*b**2 + 1 - 2 - 110*b**2. Calculate n(t(u)).
-8*u**2 - 16*u - 8
Let j(n) = 128*n + 11790. Let p(z) = -2*z. Calculate p(j(c)).
-256*c - 23580
Let l(x) = -3*x + 22. Let m(r) = -6 + 34 - 17 + 0*r**2 + 12*r**2 - 9. Determine l(m(q)).
-36*q**2 + 16
Let l(j) = 340*j**2 - 163*j**2 - 175*j**2 + 1 - 1. Let q(a) be the first derivative of 68*a**3/3 - 5. Calculate q(l(b)).
272*b**4
Let j(v) = 303884*v**2. Let t(q) = 3*q - 48. Calculate t(j(p)).
911652*p**2 - 48
Let p(f) = 5*f. Let m(d) = -1131508*d + 23667. Let w(h) = -9034*h + 189. Let z(l) = -9*m(l) + 1127*w(l). Give z(p(a)).
11270*a
Let u(x) be the first derivative of 30 + 1/2*x**2 + 0*x. Let h(m) = 26*m**2. Let f(g) = -52*g**2. Let d(b) = 6*f(b) + 13*h(b). What is d(u(o))?
26*o**2
Let b(y) = -25*y**2. Let v(a) = -2*a**2 + 1863399*a - 1. Give v(b(f)).
-1250*f**4 - 46584975*f**2 - 1
Let i(u) = -3*u. Let f(c) be the second derivative of -818*c**3/3 - 9*c + 12. Determine f(i(z)).
4908*z
Let i(f) be the second derivative of -21*f**4/4 + 3*f - 37. Let w(y) = 28*y**2. Give w(i(p)).
111132*p**4
Let i(p) be the first derivative of -7*p**6/180 - 2*p**3/3 + 2. Let s(f) be the third derivative of i(f). Let h(u) = -152*u + 73*u + 78*u. Calculate s(h(l)).
-14*l**2
Let a(p) = 13129004*p. Let z(g) = g. Calculate a(z(m)).
13129004*m
Let v(x) be the first derivative of x**2/2 + 1493. Let j(o) = -1556*o. What is j(v(b))?
-1556*b
Let u(d) = d**3 - 7*d**2 - 9*d + 11. Let p be u(8). Let r(x) = -6*x - p*x - 6*x + 0*x. Let b(s) = -3*s. Give r(b(y)).
45*y
Let g(q) = -56*q - 2. Let z(y) = 1395*y**2 - 81*y. Let c(m) = -69*m**2 + 4*m. Let a(p) = 81*c(p) + 4*z(p). Determine a(g(u)).
-28224*u**2 - 2016*u - 36
Let k(b) be the third derivative of -b**5/30 + 329*b**2. Let a(j) = j - 33. What is k(a(u))?
-2*u**2 + 132*u - 2178
Let n(g) = -44*g. Let b(q) = -79*q**2 - 1259*q. Give n(b(s)).
3476*s**2 + 55396*s
Let j(i) = -15*i + 76*i - 42*i - 18*i. Let s(w) = -11*w + 17. Determine j(s(p)).
-11*p + 17
Let o(j) = 5*j - 18*j - 16*j. Let l = 136 + -123. Let n(i) = 0*i - l*i + i + 10*i. Give n(o(t)).
58*t
Let h(i) = 28*i**2 + i. Let z(c) be the first derivative of 0*c - 1/2*c**2 + 28. Give h(z(s)).
28*s**2 - s
Let z(a) = 335*a. Let h = -55 + 201. Let s(p) = 288*p**2 - h*p**2 - 143*p**2. Give z(s(w)).
-335*w**2
Let k(y) = y**2. Let g(x) = -10981*x**2 + x - 193. Determine g(k(f)).
-10981*f**4 + f**2 - 193
Let n(f) be the first derivative of -f**2 + 2073. Let i(c) be the first derivative of -c**2/2 - 1. Calculate i(n(q)).
2*q
Let u(p) be the second derivative of -p**3/2 + 872*p + 1. Let m(b) = 2*b - 117. What is m(u(s))?
-6*s - 117
Let h(o) be the second derivative of 0*o**2 - 5/6*o**4 + 0*o**3 + 61 + 2*o. Let l(n) = 8*n**2. Determine h(l(y)).
-640*y**4
Let x(p) = -32345*p**2 + 40*p + 60. Let h(r) = -4621*r**2 + 6*r + 9. Let j(c) = -20*h(c) + 3*x(c). Let u(o) = 2*o**2. Give u(j(f)).
42596450*f**4
Let b(a) = 5373*a**2 + 4*a - 12. Let m(y) = -7226683*y**2 - 5381*y + 16143. Let f(h) = 5381*b(h) + 4*m(h). Let g(u) = -2*u**2. Calculate g(f(w)).
-57910322*w**4
Let v(m) = -20*m**2. Let n(t) = -96844*t - 220. Let y(j) = 1323*j + 3. Let d(h) = -3*n(h) - 220*y(h). What is d(v(z))?
10560*z**2
Let v(q) = -16*q + 2. Let s(n) = 6*n**2 - 3922*n + 1. What is s(v(g))?
1536*g**2 + 62368*g - 7819
Let o(z) = -17*z. Let f be 2/((-14)/(-10) - 1). Let s(y) = -y. Let i(r) = -r. Let c = -4267 + 4260. Let d(x) = c*i(x) + f*s(x). Calculate d(o(j)).
-34*j
Let g(h) = 86*h**2. Let o be 0 - (0/(-4 + 0) + -2). Let c be 0/((o/1)/(-2)). Let n(d) = c*d - d - | {
"pile_set_name": "DM Mathematics"
} |
Simplify -1 + -2*sqrt(72) + (sqrt(288) - sqrt(288)*-2) + -2.
-3 + 24*sqrt(2)
Simplify (0 + sqrt(1700))*-4 + ((sqrt(1700) + sqrt(1700) + 1 + sqrt(1700) + sqrt(17))**2 + sqrt(17) - (sqrt(17) + 1 + -1)).
22*sqrt(17) + 16338
Simplify 1*(sqrt(140)*4)/sqrt(7) + 5 + -3*(0 + sqrt(405)).
-19*sqrt(5) + 5
Simplify (sqrt(396)/(sqrt(44)/sqrt(4)))/sqrt(3) - 6*sqrt(108)*1.
-34*sqrt(3)
Simplify 5 + 4*sqrt(272) - (sqrt(272) - ((sqrt(272) - sqrt(272)*-1) + sqrt(272)))**2*2.
-2171 + 16*sqrt(17)
Simplify (sqrt(4032) + 0)*-6 + (sqrt(4032) + (sqrt(4032) + 1)*5 + sqrt(4032) - sqrt(4032))**2.
1296*sqrt(7) + 145177
Simplify (-2 + sqrt(891))*-4 + ((sqrt(891) + (-2*sqrt(891) - sqrt(891)))*3)**2 + -4*sqrt(891)*1 + 2.
-72*sqrt(11) + 32086
Simplify ((sqrt(1100) - -3*sqrt(1100)*-1)*6 - (5 + (sqrt(1100)*-2 - sqrt(1100) - sqrt(1100)) + 4 + -1*sqrt(1100)))**2 + 2.
1260*sqrt(11) + 53983
Simplify 1*((-2*sqrt(4))/sqrt(2) - -4*sqrt(162)).
34*sqrt(2)
Simplify (sqrt(63)*2 - sqrt(7)) + sqrt(28)/sqrt(4)*5 + (sqrt(7) - (sqrt(28) - (sqrt(28) - (1 + sqrt(28))) - sqrt(28)))**2 + -5.
3 + 8*sqrt(7)
Simplify -4 + ((sqrt(468) + -6*(sqrt(468) - sqrt(468)*-2 - sqrt(468)) - sqrt(468)) + sqrt(468) + sqrt(468))**2*6.
280796
Simplify ((2*sqrt(375) + sqrt(375))*1)/(5*(sqrt(20) - sqrt(80)) + sqrt(20)).
-15*sqrt(3)/8
Simplify (2*sqrt(65)*2*6)/(-3*-1*sqrt(320)).
sqrt(13)
Simplify (sqrt(224)*2)/sqrt(8) + 5 + sqrt(63) + 0.
5 + 7*sqrt(7)
Simplify (-1*-3*sqrt(95)*-4)/(sqrt(25)/((sqrt(5) + sqrt(20)/sqrt(4))*1)).
-24*sqrt(19)
Simplify ((-2*2*sqrt(77)*-5)/(1*sqrt(44)/sqrt(4) + sqrt(396)*1 + sqrt(11)))**2.
175/4
Simplify (-1 + sqrt(108)*-1 + 3 - ((sqrt(108) + 1 - sqrt(108)) + -5 + (sqrt(108) - (sqrt(108) + 0))*4))**2.
-72*sqrt(3) + 144
Simplify sqrt(175) + 1 + 4 - (sqrt(28) + 1 - (sqrt(7) + -4 + sqrt(28)/sqrt(4)))**2.
-20 + 5*sqrt(7)
Simplify (sqrt(210)/(sqrt(12)/sqrt(2)) - (sqrt(4235)*-1 - sqrt(4235) - sqrt(4235)))/((sqrt(1008) - -6*(sqrt(1008) + sqrt(1008)*-1)) + sqrt(1008)).
17*sqrt(5)/12
Simplify 3*(1*sqrt(5808) - sqrt(5808))*-3 + -5.
-5
Simplify 3 + (sqrt(234)/(sqrt(24)/sqrt(4)))/((sqrt(480) - sqrt(30))/sqrt(10)).
sqrt(13)/3 + 3
Simplify -2*(4*(sqrt(931) - (sqrt(931) - (-2*sqrt(931) + -3) - sqrt(931)))**2 + -5)*-6.
2016*sqrt(19) + 45060
Simplify -2*(sqrt(704) + -2) + (2 + 2*sqrt(704))**2 - (1*-4*(-3 + sqrt(704) + sqrt(704)))**2.
-42376 + 1584*sqrt(11)
Simplify (6*(4 + sqrt(1300) + 1) + (4 + sqrt(1300) + 2 + sqrt(1300) - sqrt(1300)) + 0)**2.
5040*sqrt(13) + 64996
Simplify -1*((-2*(3*sqrt(102) + sqrt(102)))/((sqrt(1944) + sqrt(54))/sqrt(9)) + 5).
-5 + 8*sqrt(17)/7
Simplify ((sqrt(432) - (sqrt(432) + sqrt(432)*-1))*-6)/((sqrt(6) + (sqrt(96)*-2 - sqrt(6)) + sqrt(6))*1).
36*sqrt(2)/7
Simplify -5 + -2*((sqrt(143) - ((-2*sqrt(143) + sqrt(143))*-6 - sqrt(143)))/(sqrt(77)/(sqrt(14)/sqrt(2))) + -3).
1 + 8*sqrt(13)
Simplify -5 + ((-2*sqrt(152) - sqrt(152))*-2*3)/(sqrt(200) + (sqrt(200) - sqrt(200)*2 - sqrt(200)) - sqrt(64)/sqrt(2)).
-18*sqrt(19)/7 - 5
Simplify -3 + (-5 + sqrt(1331)*1 + sqrt(1331) + sqrt(1331)*1 + sqrt(1331) + -3)*2 + -3.
-22 + 88*sqrt(11)
Simplify (-3*sqrt(14)*-6)/(sqrt(896)/sqrt(8)).
9*sqrt(2)/2
Simplify -5 + 0 + 4 + sqrt(2736)*2 + -1.
-2 + 24*sqrt(19)
Simplify sqrt(147) + -2*sqrt(147) + 4 + sqrt(147) + (sqrt(27) + 5 - sqrt(3)) + 2.
2*sqrt(3) + 11
Simplify ((sqrt(2673) - sqrt(2673)*-4*2) + sqrt(2673))/(-1*(sqrt(66)/sqrt(294) + sqrt(11))).
-315*sqrt(3)/4
Simplify (1*-2*(sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*1 + 2 + sqrt(117))) + sqrt(117)))**2.
16
Simplify (sqrt(352) + (-6*(sqrt(352) + sqrt(352)*-3) + sqrt(352) - sqrt(352)))/((sqrt(3300)*-1)/sqrt(3)).
-26*sqrt(2)/5
Simplify 2 + (4*(0 + sqrt(1872) - sqrt(1872) - sqrt(1872)) + sqrt(1872) + 5 + (sqrt(1872) + 0 - sqrt(1872)))**2.
-360*sqrt(13) + 16875
Simplify (((sqrt(7) + sqrt(28)/sqrt(4))*1*6)**2 + -2)*4.
4024
Simplify (-1*(0 + 2 + sqrt(931) - sqrt(931) - sqrt(228)/(sqrt(24)/sqrt(2)*-3)))**2.
4*sqrt(19)/3 + 55/9
Simplify -4 + -1 + sqrt(5) + 1 + sqrt(5) + 3 - (-1 + (sqrt(180)*1)**2 + -2).
-178 + 2*sqrt(5)
Simplify 2*(-3 + 1*(sqrt(1700) + (sqrt(1700)*-1 - sqrt(1700))*-2)).
-6 + 100*sqrt(17)
Simplify (3*(sqrt(2448) - (sqrt(2448) + 0)) + sqrt(119)/(-2*sqrt(252)))**2.
17/144
Simplify -4*((4*sqrt(95)/sqrt(5))**2 - sqrt(114)/(sqrt(36)/sqrt(6))).
-1216 + 4*sqrt(19)
Simplify (sqrt(1100) + 4*sqrt(1100)*-1 - sqrt(1100))/((-2*sqrt(44)*3)/sqrt(11)).
10*sqrt(11)/3
Simplify (sqrt(78)*1*-5*4)/(sqrt(6) - sqrt(66)/sqrt(176) - sqrt(48)/(-1*sqrt(8))).
-80*sqrt(13)/7
Simplify ((sqrt(64)*2 + sqrt(64))*-6 - (sqrt(64)*-2 - sqrt(64))*-4)/(sqrt(18)/(2*sqrt(9)*4 - sqrt(9))).
-840*sqrt(2)
Simplify (1*sqrt(95)*-6 - sqrt(95))/((sqrt(5) - (sqrt(5) - (sqrt(50)*-4)/sqrt(10))) + sqrt(5) - sqrt(5)).
7*sqrt(19)/4
Simplify sqrt(1088)*-1*-1*-4*-3.
96*sqrt(17)
Simplify (2*sqrt(144) + (sqrt(16) - sqrt(64)*1))/(sqrt(288)*2*2).
5*sqrt(2)/24
Simplify (sqrt(3) - (sqrt(3)*1 - sqrt(3))*3) + (sqrt(243) + -2)**2 + sqrt(27)/(-3*sqrt(45)/sqrt(5)).
-106*sqrt(3)/3 + 247
Simplify ((sqrt(7) + -1*sqrt(7) + 4 - (-1*sqrt(175) + sqrt(7)))*3)**2.
288*sqrt(7) + 1152
Simplify 0 + ((2*sqrt(32))/sqrt(4) + -1)**2.
-8*sqrt(2) + 33
Simplify (-6*((sqrt(2299) + (sqrt(2299) + -3 - sqrt(2299)))*5 + -3)*3 + -3)**2.
-635580*sqrt(19) + 18724941
Simplify (5 + sqrt(125) + sqrt(125)*3)**2*-3 + 3.
-6072 - 600*sqrt(5)
Simplify (3*sqrt(66)*-2*-1)/(sqrt(60)/(2*sqrt(1210))).
132*sqrt(11)
Simplify ((-5*((sqrt(114) - -3*sqrt(114)) + sqrt(114)))/(4*sqrt(96)))**2.
11875/256
Simplify ((sqrt(33) + sqrt(297) + (sqrt(297)*2 - sqrt(297) - sqrt(297)) + sqrt(33))*1)/(-3*(sqrt(121) + (sqrt(121)*1 + sqrt(121) - sqrt(121)))/sqrt(11)) + 3.
-5*sqrt(3)/6 + 3
Simplify (2*sqrt(252))**2*3 + 5 + sqrt(252)*-2 + -2*(sqrt(252)*-1*-2 + sqrt(252) + sqrt(252))**2.
-5035 - 12*sqrt(7)
Simplify (sqrt(21)/(sqrt(3) - sqrt(12)) - (sqrt(7) - (sqrt(7) + 2 - sqrt(7))**2*6 - sqrt(7))) + 0 + (-1 + sqrt(112))**2.
-9*sqrt(7) + 137
Simplify 4*(-1*sqrt(720)*-3 - (1 + sqrt(720) + 0 + sqrt(720))).
-4 + 48*sqrt(5)
Simplify (sqrt(832) + -5 + sqrt(832)*4 + ((3 + sqrt(832) - sqrt(832))*-2 - sqrt(832)) + 2)**2.
-576*sqrt(13) + 13393
Simplify (((sqrt(204)*-1)/sqrt(12) - sqrt(187)/(sqrt(22)/sqrt(2))) + 2 - (4 + (sqrt(612) - sqrt(612)*-1) + 5))**2.
196*sqrt(17) + 3381
Simplify ((sqrt(1078) - -4*sqrt(1078))/(sqrt(10)/(-2*sqrt(5))))**2.
53900
Simplify (6*5*(sqrt(28)/sqrt(4) - sqrt(7)) - 1*(sqrt(7) + -1)*1)**2.
-2*sqrt(7) + 8
Simplify 2 + (-3*(3 + sqrt(5)) + -6*(sqrt(80) + sqrt(5)))**2.
594*sqrt(5) + 5528
Simplify ((3 + 1*sqrt(5))**2 + sqrt(800)/sqrt(10) + sqrt(5) + (sqrt(405) - (sqrt(405) + (2 + sqrt(405))*-2 + sqrt(405))**2))*2.
-4 + 40*sqrt(5)
Simplify (6*(1*(sqrt(133) - 2*sqrt(133)) - sqrt(133)))/(sqrt(1008) + sqrt(1008) + sqrt(1008)*-1 - (sqrt(21)/sqrt(3)*4 - sqrt(7))).
-4*sqrt(19)/3
Simplify ((-2*sqrt(54))/sqrt(3)*-2)/((-6*(sqrt(45) + sqrt(720) + sqrt(45)))/sqrt(5)).
-sqrt(2)/9
Simplify 2*sqrt(68) + (sqrt(204)*1)/sqrt(12) + (-3*sqrt(34)/sqrt(2) + 1*sqrt(17)*6)**2.
5*sqrt(17) + 153
Simplify (sqrt(396)*-1 - -6*(sqrt(121)/sqrt(11))**2)*4.
-24*sqrt(11) + 264
Simplify ((-4 + sqrt(2299)*2 - sqrt(2299)) + 5 - (-2 + sqrt(2299) + (sqrt(2299) - (sqrt(2299)*-2 + 1)))**2) + 2.
-36790 + 275*sqrt(19)
Simplify (4 + sqrt(52)/sqrt(4) - (sqrt(52)*-2)**2) + (1*3*sqrt(65) - sqrt(65))/sqrt(5).
-204 + 3*sqrt(13)
Simplify (5 + (sqrt(2) + -1 + -3 - sqrt(2)))**2 - (sqrt(8) + -2 + sqrt(2) + sqrt(10)/sqrt(5) + -5).
-4*sqrt(2) + 8
Simplify ((sqrt(42) - sqrt(3402)*1) + sqrt(42))/(sqrt(96)*1 + sqrt(96))*-3.
21*sqrt(7)/8
Simplify -4*(sqrt(88)/(1*sqrt(512)) + 6*(sqrt(11) - (sqrt(11) + (sqrt(33)/sqrt(3) + sqrt(11) + -3)**2))).
-577*sqrt(11)/2 + 1272
Simplify (4*sqrt(84)*-2*5)/((sqrt(12) + sqrt(12)*-2*-1)*2).
-20*sqrt(7)/3
Simplify (3 + 5*-3*sqrt(17) + -6*sqrt(2448)*2)**2.
-954*sqrt(17) + 429786
Simplify 3 + sqrt(117) + ((0 + sqrt(117) + 1)**2 - sqrt(117)) - (4*(0 + sqrt(117) + sqrt(117)) - (0 + sqrt(117) + -3))**2.
-5621 - 120*sqrt(13)
Simplify (-1*sqrt(136)*1*4)/(((sqrt(24) + sqrt(24)*3)/sqrt(3) - sqrt(8))*-5).
4*sqrt(17)/15
Simplify 2 + -2 + ((-5*3*sqrt(147) - sqrt(147)) + (sqrt(147) - (-3 + sqrt(147))*4))**2.
-3192*sqrt(3) + 53211
Simplify (sqrt(1375)*-2)/(sqrt(25)/sqrt(80))*5.
-200*sqrt(11)
Simplify ((sqrt(660)/sqrt(11))/sqrt(2))/(sqrt(160)*-5) + -4.
-4 - sqrt(3)/20
Simplify ((4*1*-1*sqrt(78 | {
"pile_set_name": "DM Mathematics"
} |
-188, 0.1?
0.1
What is the closest to -37/8 in 3/8, -87/5, 82, -0.07?
-0.07
What is the nearest to -2 in 5856, -4.95, -2/3?
-2/3
Which is the nearest to -2/7? (a) 152 (b) 3 (c) 2/11 (d) -873 (e) -0.4
e
Which is the closest to 0? (a) 7 (b) -6507 (c) 0.17
c
What is the nearest to -0.075 in 0, 13/8, 17, 2/3, -0.4?
0
Which is the closest to 1? (a) 1333 (b) 5 (c) 2/3 (d) -55 (e) 1
e
Which is the nearest to 1/4733? (a) 5 (b) -18 (c) 1/3 (d) -4
c
What is the nearest to -107 in -5/4, -5, -1903, -0.1?
-5
What is the closest to -2/81 in -2/9, -2/417, -2, -5, -0.1?
-2/417
What is the nearest to 4 in 0, 40, 5, -3?
5
Which is the closest to -2/7? (a) 9 (b) 4/7 (c) -265 (d) 19 (e) 0.5
e
Which is the closest to -4/9? (a) 34875 (b) 0.3 (c) 3 (d) 1/11 (e) -5
d
What is the nearest to 1/11 in -9, 218, -13, -2/15, 3?
-2/15
Which is the nearest to 2? (a) 2/11 (b) 0 (c) -4.066 (d) -13 (e) -2/5 (f) -15
a
Which is the closest to -2? (a) 5 (b) -5 (c) 3 (d) -39.026 (e) -0.5
e
What is the nearest to -1 in 748, 2, -1.34, 0.2?
-1.34
Which is the closest to 0.1? (a) -7/9 (b) -1 (c) -521/78 (d) 4
a
Which is the closest to -151169? (a) -0.5 (b) 0.3 (c) -2/15 (d) -4 (e) 1/3
d
What is the nearest to 1 in 22, 0.0475, -0.4, -13?
0.0475
What is the closest to 2182 in -1/2, 0.5, -14, 2.3?
2.3
Which is the closest to -1? (a) -51 (b) -3 (c) -47054.73 (d) 0.5
d
Which is the nearest to 0.2? (a) -3 (b) 1/716935 (c) -1/10
b
Which is the closest to -68/7? (a) -84 (b) -10 (c) -1 (d) 2/13 (e) -16 (f) 5
b
What is the nearest to -1/50579 in 13, -0.4, -5, -2, 0.1, -1/3?
0.1
What is the nearest to 1 in -0.332, -14, 0.026?
0.026
What is the closest to -1/4 in -304, -17/2, 43?
-17/2
What is the closest to 3/7 in 12/5, 1/5, -1, -4, 0.33?
0.33
What is the closest to 1/2 in 0.09834, 1/7, -7, -0.13?
1/7
Which is the closest to -41/9? (a) 2/13 (b) 0.002 (c) 2 (d) 7
b
What is the nearest to -0.3 in 106, 7032, -3, 1/2, -2?
1/2
What is the closest to -92 in 4/3, 41, -4, -146?
-146
Which is the nearest to 94? (a) -2/9 (b) 4 (c) -4 (d) -13 (e) 212 (f) -1
b
Which is the nearest to 0.1? (a) 1/7 (b) -16 (c) -2/17 (d) 5 (e) -2/121 (f) 13
a
What is the nearest to 1/4 in 1.011, 0.1, -479?
0.1
Which is the closest to -2/1973? (a) -0.3 (b) -7 (c) 3 (d) -4/7 (e) 0.2
e
What is the closest to 1 in 4/5, 1274/573, 35?
4/5
What is the nearest to 46 in 4, -0.26, 3, -759, 0?
4
Which is the closest to -2/27? (a) -2755/4 (b) -2/3 (c) 8 (d) -5
b
What is the closest to -0.3 in 4, -2/3, -18.2828?
-2/3
Which is the nearest to -166374? (a) 0.4 (b) -5 (c) -0.07 (d) 3
b
Which is the nearest to -0.3? (a) 1.4 (b) 5 (c) -87895
a
Which is the closest to 1? (a) 22 (b) 0.41 (c) -5 (d) 2/13 (e) -0.4 (f) 20
b
What is the closest to 0.2 in 2, -4, 65, -31/3?
2
Which is the nearest to -20? (a) -1081 (b) -1/5 (c) -5 (d) -0.165
c
Which is the nearest to -1/2? (a) 1/15 (b) -0.4 (c) 3 (d) -152 (e) 4.6
b
What is the closest to -412/93 in -2/11, 2, -2, -21?
-2
Which is the closest to 261? (a) 15/2 (b) 4 (c) 69
c
What is the closest to 0.1 in -0.25, 2, 10/43, 18/5, -2?
10/43
Which is the closest to 3? (a) -0.0476 (b) -0.1 (c) 711
a
Which is the nearest to 787? (a) 4 (b) -20 (c) 0.1 (d) 2/11 (e) -7
a
What is the closest to -4/17 in 1109, 4, 0, 5?
0
What is the nearest to 0 in 1484.09, -1, -4?
-1
What is the closest to -9 in 2/5, 2, 2/7, -3, -3417?
-3
Which is the nearest to -2/5? (a) -14878 (b) 2/5 (c) -0.5 (d) 59
c
Which is the closest to -10982? (a) 1/37 (b) 0.8 (c) -2/13
c
What is the nearest to 74 in 0.89296, 28, 0?
28
Which is the closest to 12? (a) -3 (b) 3/2 (c) -2/3165 (d) 0.4
b
What is the nearest to -2 in -7/443, -1, 1.1, 4, 1/3?
-1
What is the closest to 0.1 in -3/2, -5, -52, -525, 3?
-3/2
Which is the nearest to 1694? (a) -1 (b) -0.5 (c) 2 (d) -9641
c
What is the closest to -8 in 5, 1/6, -11, 2/27?
-11
What is the nearest to -186 in -0.4, -0.01338, -0.2, -2, -6?
-6
Which is the nearest to 0.205? (a) 1.5 (b) -311 (c) 0.3
c
Which is the closest to 102? (a) -0.4 (b) 5 (c) 6 (d) 0 (e) -6 (f) 3/29
c
What is the nearest to -58 in 11203, -8, 3/4?
-8
Which is the nearest to -7? (a) 0.0095 (b) 3 (c) -2 (d) 3/8
c
What is the closest to -8 in -5, -4/3, 0.08, -4, 51, 2/7?
-5
What is the closest to -2/5 in -5, 0.4, -1/12, 1/6, -0.114, -266?
-0.114
What is the closest to -0.1 in -0.2, 20, 18, 0.13, -56.4?
-0.2
What is the nearest to 2/9 in -0.3, 1, -1.42, 44?
-0.3
What is the nearest to 2/7 in -310, -0.4, -3/5, -1/2, -642/5?
-0.4
What is the closest to 2/5 in 1, -0.3, 0.6, -14060?
0.6
What is the closest to 0.5144 in -22, -2, -4, -23?
-2
Which is the nearest to -1? (a) 6/5 (b) -1863.3411 (c) 0.2
c
What is the nearest to -57 in -0.01, -0.3, -2, 26/19?
-2
Which is the closest to 42? (a) -5 (b) -1/4 (c) 0.09151
c
Which is the closest to 2/3? (a) 3/391 (b) -1 (c) 2/49 (d) 0
c
What is the closest to -10 in -2/19, -5/3, -6, 2, 28, 2/27?
-6
What is the closest to 12751 in -2/165, -1/8, 1, -5?
1
What is the nearest to -31 in -2, 514, -94?
-2
What is the nearest to -1 in -13/2319, 5/11, 1/4, -4?
-13/2319
What is the closest to 0.0522 in 58, -5, -0.1, 1?
-0.1
Which is the nearest to 0.2? (a) 152 (b) -0.039 (c) 0.2 (d) 21
c
What is the nearest to -0.1 in 17, -3, -97447.2, -1?
-1
Which is the closest to -15219? (a) -1 (b) 5 (c) 4/9
a
What is the nearest to 1/2 in 2/3, -2, 60, 8335, 1/6?
2/3
What is the nearest to 0 in 7, 7.3, 1.549?
1.549
What is the nearest to -3/2 in -1, -16, 8, 3, -36?
-1
What is the nearest to -17/3 in -1, 835, 0.03?
-1
What is the closest to -1/62 in 2/11, 0.07, -3, 4/5, 9/16, -0.5?
0.07
Which is the nearest to 0.1? (a) -0.356 (b) -2991 (c) -0.4
a
What is the nearest to -1712 in -2.6, 7, -0.4, 0?
-2.6
Which is the closest to 0? (a) -84.38 (b) 110 (c) -11
c
What is the nearest to -40 in -0.5, 10, -2.8, 41, 4, -2/13?
-2.8
Which is the closest to 4.29? (a) -5 (b) -4 (c) 2/19 (d) -3/2 (e) -0.21
c
What is the closest to 18 in -5, -3/7, -7, 8, -877, 0.4?
8
What is the closest to -4 in 1149/671, 0.2, -4, -0.4?
-4
What is the closest to -11 in 1/163, -0.5, -120?
-0.5
Which is the nearest to 2/7? (a) 0.23 (b) -187 (c) -89
a
Which is the nearest to 0.2? (a) -0.8 (b) -141 (c) -0.1 (d) 6 (e) -5
c
Which is the nearest to 0.1? (a) 24/89 (b) 1 (c) -12 (d) 2 (e) 1/30 (f) -34
e
Which is the closest to -1? (a) 0.081 (b) -0.4 (c) 7 (d) -97 (e) -0.1
b
What is the nearest to 12 in 41/2, 10/99, 0, 2, 3, -6?
41/2
Which is the nearest to -1.06? (a) -0.1 (b) -5/2 (c) 2 (d) -0.051 (e) -2/21
a
Which is the closest to -1? (a) -0.02 (b) -3 (c) 0 (d) -7708 (e) 0.08
a
Which is the closest to -1? (a) -4 (b) -15 (c) 43 (d) 347
a
What is the closest to -1/4 in 11/7, 67, -1/4, -5?
-1/4
Which is the nearest to -60/7? (a) 4 (b) -3/4 (c) 49 (d) -0.3
b
Which is the closest to 0.86? (a) 4 (b) 0.3 (c) -35 (d) -4 (e) -0.15
b
Which is the nearest to -53.2? (a) 0.4 (b) -4/3 (c) 1 (d) 4/7
b
Which is the closest to -2/29? (a) -92 (b) 16 (c) -2/9 (d) -0.4 (e) 2/7 (f) -0.2
f
What is the closest to 7/3 in 5, -2, -945, -1?
5
What is the nearest to 5 in -1, -1/1409, 13, -4?
-1/1409
Which is the closest to 123611/5? (a) 9/4 (b) -0.2 (c) 1/6 (d) 1
a
What is the nearest to 21300 in 4, -0.1, -2/93?
4
What is the nearest to 3/7 in -175, -8, -108/31?
-108/31
What is the closest to 2/5 in 0.3, 2425, -0.3, -3, 3/11?
0.3
Which is the nearest to -1.8? (a) -4/13 (b) 1562.7 (c) 2
a
What is the nearest to -193 in -68204/5, 3, 2/7, -3/4?
-3/4
Which is the closest to 125? (a) -3 (b) -2/7 (c) 14 (d) -2/15 (e) 33
e
What is the closest to 0 in -1339, -0.1, -0.021, 1/5, 0, 2?
0
What is the closest to -0.106 in -4/3, -1130, 1, -115?
1
Which is the nearest to 34? (a) -2/15 (b) 4 (c) -6/72509
b
What is the closest to 0.1 in -0.5, 1181, 49/2, 2, 1?
-0.5
What is the nearest to -8 in 1, -328, -2/9, -0.6, 8/5?
-0.6
What is the closest to 2602 in 25, -58, 4?
25
What is the closest to 0.1 in -21, -30451, 2/3?
2/3
What is the nearest to 7 in -2/7, 49, 4586, -3?
-2/7
What is the closest to -1 in -1, 2/9, 4, 38, -1136, -3?
-1
What is the closest to 3720 in -2/7, -32, 1301?
1301
| {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from nnlnxxxndnnnxhndx?
0
Four letters picked without replacement from {c: 17, w: 2}. Give prob of picking 4 c.
35/57
Two letters picked without replacement from hhnnhnobbhnbmhhbnn. Give prob of picking 1 n and 1 m.
2/51
Three letters picked without replacement from hjhhhhhhhhhhhhhhhhh. Give prob of picking 2 h and 1 j.
3/19
Four letters picked without replacement from nmmvhnmm. Give prob of picking 2 n, 1 v, and 1 m.
2/35
Four letters picked without replacement from evveeeve. What is prob of picking 3 e and 1 v?
3/7
Two letters picked without replacement from {b: 1, j: 1, u: 2, k: 1}. What is prob of picking 1 k and 1 j?
1/10
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {a: 1, g: 1, v: 1, o: 1, f: 8}.
1/66
Two letters picked without replacement from vmxnx. Give prob of picking 2 x.
1/10
Two letters picked without replacement from {j: 1, a: 1, c: 1, t: 1, w: 1, r: 2}. What is prob of picking 1 r and 1 a?
2/21
Three letters picked without replacement from {i: 3, c: 2, g: 2, k: 6, l: 4, u: 1}. What is prob of picking 1 c, 1 k, and 1 l?
1/17
Four letters picked without replacement from {b: 2, p: 4, s: 2, d: 1, c: 1, m: 2}. Give prob of picking 1 d, 2 m, and 1 c.
1/495
What is prob of picking 1 j, 1 b, and 1 o when three letters picked without replacement from oeejjjejbeejjejjj?
9/680
What is prob of picking 3 q when three letters picked without replacement from {f: 3, q: 4}?
4/35
What is prob of picking 1 q and 3 v when four letters picked without replacement from {v: 3, q: 1, n: 1}?
1/5
Two letters picked without replacement from hqhqq. What is prob of picking 2 q?
3/10
Two letters picked without replacement from {u: 2, i: 1, x: 1, w: 4}. What is prob of picking 1 i and 1 w?
1/7
Two letters picked without replacement from {b: 1, o: 4, l: 5, e: 1}. Give prob of picking 2 b.
0
Three letters picked without replacement from {u: 7, i: 4, c: 2}. What is prob of picking 1 c and 2 u?
21/143
Calculate prob of picking 2 j and 1 t when three letters picked without replacement from tjjjtjjjtjtjjt.
45/91
Calculate prob of picking 2 w and 1 y when three letters picked without replacement from {w: 2, g: 6, y: 3, m: 3, u: 5, o: 1}.
1/380
Four letters picked without replacement from {m: 2, f: 4, h: 8, r: 2}. What is prob of picking 1 m, 1 r, and 2 h?
4/65
Three letters picked without replacement from haaaah. Give prob of picking 3 a.
1/5
What is prob of picking 3 k and 1 a when four letters picked without replacement from kkaaaak?
4/35
Three letters picked without replacement from qzqqzzqquqqqzu. What is prob of picking 2 u and 1 z?
1/91
Three letters picked without replacement from nsnssqnqqnq. What is prob of picking 3 q?
4/165
What is prob of picking 1 g, 2 n, and 1 d when four letters picked without replacement from {g: 7, n: 7, d: 2}?
21/130
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from yzsnzxkyxxxsns.
4/91
What is prob of picking 1 z, 1 d, and 1 g when three letters picked without replacement from ggzdgjzg?
1/7
Four letters picked without replacement from {p: 2, j: 6}. Give prob of picking 2 j and 2 p.
3/14
Two letters picked without replacement from {w: 1, f: 1, k: 1, d: 2, y: 1, g: 1}. Give prob of picking 1 g and 1 y.
1/21
What is prob of picking 1 x and 1 f when two letters picked without replacement from ffaxfpxfg?
2/9
Calculate prob of picking 1 y and 1 u when two letters picked without replacement from uuuyuuuuyyuuuu.
33/91
Two letters picked without replacement from {c: 4, r: 3}. What is prob of picking 2 r?
1/7
Calculate prob of picking 2 x when two letters picked without replacement from bbbxxtxxtbxbbbbbx.
15/136
Calculate prob of picking 3 n and 1 l when four letters picked without replacement from {l: 1, n: 4, g: 9}.
4/1001
Two letters picked without replacement from {l: 7, u: 1, r: 5, z: 4, q: 1, c: 2}. Give prob of picking 2 l.
21/190
Three letters picked without replacement from hhpppwppppeprwpp. What is prob of picking 1 r, 1 p, and 1 w?
1/28
Four letters picked without replacement from {b: 8, y: 1, w: 7, j: 1}. Give prob of picking 4 w.
1/68
Four letters picked without replacement from aagaggaaagagaagaaggg. Give prob of picking 3 g and 1 a.
308/1615
Calculate prob of picking 1 g and 3 o when four letters picked without replacement from {o: 6, g: 4}.
8/21
What is prob of picking 2 p when two letters picked without replacement from pwppwwpppppppp?
55/91
Two letters picked without replacement from {f: 4, a: 7, w: 4}. What is prob of picking 2 a?
1/5
Calculate prob of picking 1 d and 3 a when four letters picked without replacement from aaadadadaadda.
56/143
Two letters picked without replacement from {q: 5, l: 6, b: 1, o: 5}. What is prob of picking 2 o?
5/68
Two letters picked without replacement from mmmffffmffmmmf. Give prob of picking 1 f and 1 m.
7/13
Four letters picked without replacement from {t: 4, i: 14}. What is prob of picking 1 i and 3 t?
14/765
Three letters picked without replacement from {o: 2, j: 3}. Give prob of picking 3 j.
1/10
Calculate prob of picking 1 m and 1 n when two letters picked without replacement from jmfacmjcnjjfj.
1/39
Calculate prob of picking 2 b and 1 f when three letters picked without replacement from jbbmf.
1/10
Calculate prob of picking 1 a and 2 x when three letters picked without replacement from axxxxxxaxlaxa.
56/143
Three letters picked without replacement from zmuzwgu. Give prob of picking 1 m, 1 g, and 1 z.
2/35
Three letters picked without replacement from ktsmmtqtqxqmtqt. Give prob of picking 3 m.
1/455
Two letters picked without replacement from mmjjjjmjvjimmvmmw. What is prob of picking 1 v and 1 w?
1/68
Two letters picked without replacement from zbviubz. What is prob of picking 1 z and 1 b?
4/21
Two letters picked without replacement from yyyrhru. What is prob of picking 2 r?
1/21
Three letters picked without replacement from ydyfbqbbfbbf. What is prob of picking 2 y and 1 b?
1/44
Calculate prob of picking 2 b and 2 x when four letters picked without replacement from xxbbx.
3/5
Calculate prob of picking 1 p, 1 q, and 1 y when three letters picked without replacement from ppynypnppqnp.
3/55
Four letters picked without replacement from {f: 3, e: 1}. Give prob of picking 4 e.
0
Calculate prob of picking 2 f and 2 r when four letters picked without replacement from ffrfffffffffffrfff.
2/51
Two letters picked without replacement from fdxsyccxddysysxd. Give prob of picking 1 s and 1 y.
3/40
Three letters picked without replacement from {v: 4, o: 6, b: 3, w: 2, r: 1}. What is prob of picking 1 b and 2 o?
9/112
Calculate prob of picking 1 f and 1 u when two letters picked without replacement from gxkuffs.
2/21
What is prob of picking 1 u and 1 t when two letters picked without replacement from ouoqtouoqoqo?
1/33
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from edkdijekkk.
4/45
Three letters picked without replacement from {f: 4, i: 3}. Give prob of picking 3 i.
1/35
Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {o: 2, a: 3}.
3/5
Four letters picked without replacement from {p: 7, j: 1, m: 1, c: 4, x: 2, s: 3}. Give prob of picking 1 m, 2 s, and 1 x.
1/510
Four letters picked without replacement from {k: 7, n: 2, h: 3, r: 7}. What is prob of picking 2 r, 1 n, and 1 k?
49/646
Four letters picked without replacement from {v: 6, l: 4}. Give prob of picking 3 v and 1 l.
8/21
What is prob of picking 1 f, 1 t, and 1 o when three letters picked without replacement from oftt?
1/2
Two letters picked without replacement from {w: 5, k: 5, d: 2}. Give prob of picking 2 d.
1/66
Three letters picked without replacement from yweyebnbwrwnnnw. Give prob of picking 1 w, 1 b, and 1 r.
8/455
Calculate prob of picking 1 k and 2 y when three letters picked without replacement from {y: 4, r: 1, l: 1, m: 7, k: 2}.
12/455
Four letters picked without replacement from ttmeeememttteteee. Give prob of picking 1 t and 3 e.
12/85
Two letters picked without replacement from {q: 2, w: 4}. Give prob of picking 2 w.
2/5
Calculate prob of picking 4 c when four letters picked without replacement from cccccccccjcccjccccc.
35/57
Two letters picked w | {
"pile_set_name": "DM Mathematics"
} |
7 - -36014882/75591. Let n = -476 + z. Let x = -0.458 - -0.358. Which is the second smallest value? (a) x (b) n (c) -1
a
Let k = 370.7 + -371. Let g = 3.5 + -4. Which is the second biggest value? (a) k (b) 6 (c) -2 (d) g
a
Let c = 4.97 - -0.03. Let l = -10/17 + -133/34. What is the second biggest value in l, c, -0.2?
-0.2
Let i = 0.12 + -0.52. Let s = -5.7 - -0.7. Which is the biggest value? (a) i (b) -2 (c) s
a
Suppose -21 = 12*t - 15*t. Suppose -3*s + 2 = 3*j - t, 0 = -4*j + 5*s + 30. Which is the fourth biggest value? (a) 2 (b) 0.2 (c) j (d) -0.1
d
Let f be ((-914)/96)/((-42)/(-6)). Let v = -3/112 - f. Let d = 4 + -2. Which is the biggest value? (a) -0.5 (b) d (c) v
b
Suppose -12*p = -4*k - 14*p + 34, -12 = -4*p. Which is the third smallest value? (a) -4/5 (b) 1/2 (c) 5/9 (d) k
c
Let o(f) = -f**3 + 9*f**2 + 2*f - 71. Let m be o(8). What is the smallest value in 3/7, 11, m?
3/7
Let r = -0.5 + -2.1. Let p = -1.1 - r. Let l = p - 2.5. Which is the third biggest value? (a) 4 (b) -1/2 (c) l
c
Let s = 0.37 + -4.87. Let h = s + -0.5. Which is the third smallest value? (a) h (b) -3 (c) 2/9
c
Let j = -0.935 - -0.935. Which is the third biggest value? (a) j (b) -19 (c) 0.2 (d) -3
d
Let b = -0.29 - -0.09. Let q = -0.3 + b. What is the second biggest value in q, -1, -3/5?
-3/5
Let t = 27.6 - 33. Let x = -5.63 - t. Let l = 0.13 + x. Which is the second biggest value? (a) l (b) -0.3 (c) 0.1
a
Let g(r) = -r**3 + 15*r**2 + 20*r - 29. Let j be g(16). Which is the biggest value? (a) 0.4 (b) 4 (c) j (d) 3
c
Let k = 5.4 - 5. Suppose -2*g = -4*g + 4. Suppose -g = 2*r - 4*r. Which is the smallest value? (a) k (b) r (c) -0.4
c
Let i be ((-134)/(-8))/((-130)/4). Let u = -353/2158 - -4/83. Let h = i - u. What is the biggest value in -6, h, 3?
3
Let k = 4.21 + -0.21. Let n = -1 - -2. What is the biggest value in k, n, -0.1?
k
Let w(k) = -8*k + 37. Let h be w(4). What is the second smallest value in 0.3, 11, h, 2?
2
Let w = -2968/27 + 110. Which is the smallest value? (a) w (b) -2/13 (c) -2/5
c
Let a = -13.67 - 1.33. Let h = 0.5 - 5.5. What is the second smallest value in h, a, 2/3, 1/2?
h
Let y = 0.8 + 0.2. Let r = -3.263 - -2.763. What is the smallest value in 1/4, y, r?
r
Let j = -108 - -43. Let r = j - -65.4. Let v = 6.9 + -8. What is the biggest value in r, -5, v?
r
Let v = -1316 - -1320. Let t = -57 - -397/7. What is the second smallest value in 3/2, v, t?
3/2
Let i(n) = -5*n**2 - 71*n - 28. Let u be i(-14). Let g = -2 + 4. What is the second smallest value in -2, u, g?
-2
Let i = -4.01 + 0.01. Let o = -14244 + 14243.5. Let b = 0 - 5. What is the second smallest value in i, b, o?
i
Let r(y) = 3*y**2 + 17*y + 11. Let u be r(-5). Which is the third biggest value? (a) 7 (b) 0.5 (c) u
b
Let d = 12 - 12.07. Let v = -345 - -345.1. What is the smallest value in v, d, -2?
-2
Let c be (-5)/(-1)*(-6)/(-10). Let j be (2/(-20))/(c/6). Let v(k) = -k - 1. Let m be v(-4). What is the third biggest value in 4/3, j, m?
j
Let l be (14/3)/((-51)/(-18) - 3). Let y = l - -139/5. What is the third smallest value in y, -2, -0.4, -1/4?
-1/4
Let t be 4/6 - (-12)/27. Let r be 17/(-15) - 9/45*-5. Which is the smallest value? (a) 5 (b) t (c) r (d) -4
d
Let f = -5 - -8. Suppose -3*v - 17 = -3*n + 4, 0 = -4*n + 5*v + 33. Which is the second biggest value? (a) f (b) n (c) 0 (d) -3
b
Let b = -0.7 + 0.8. Let u = 1417/6 - 475/2. What is the smallest value in -0.4, b, u?
u
Let z = -5983/14091 + -8/2013. Let p = -2.4 - -2. Which is the smallest value? (a) p (b) z (c) -2/7 (d) 0.3
b
Let s = 28.8 - 24. Let i = -5 + s. Which is the third biggest value? (a) 8 (b) i (c) -2 (d) 0
b
Let l = -0.38 + 3.38. Let c = 20 - 21. What is the smallest value in l, 1/2, c?
c
Let v(t) = -t + 4. Let y(n) = -n + 5. Let q be y(-4). Let r be v(q). Let k be r/3*(-1)/5. Which is the third biggest value? (a) -2/3 (b) k (c) -4
c
Let g = 1.4 - 16.4. Let k = 15 + g. What is the biggest value in 0.5, k, 0.3?
0.5
Let m = 2.4 + -2.64. Let z = m + 0.28. Let d(t) = t**2 - 7*t - 3. Let g be d(7). Which is the third biggest value? (a) g (b) 2 (c) z
a
Let f = -4.15 - -3.65. Which is the fourth smallest value? (a) 0.4 (b) f (c) 0.3 (d) 1/5
a
Let v be (-16)/30 - 6/(-15). Suppose i - 31 = 6*p, -4 = -i - 2*p - 21. Which is the second biggest value? (a) i (b) 1/4 (c) 5 (d) v
b
Suppose 0*s + 3*b = -3*s, 3*s + 20 = 2*b. Let z = -0.198 + 0.198. What is the second smallest value in s, -0.07, z?
-0.07
Let s = -0.2929 - -0.3629. Which is the second smallest value? (a) s (b) -2 (c) -23 (d) 5
b
Let p = 5.932 + -0.932. What is the fourth biggest value in 1/2, 0.3, p, -0.1?
-0.1
Let n = -0.091 - -0.081. What is the third biggest value in 0.3, n, 0.6, -5?
n
Suppose 5*k = 12 - 2. Let r be (4 + -3)*(3 - k). Let y be 1/(r/1)*5. Which is the third smallest value? (a) 0.3 (b) y (c) -4/3
b
Let c = 1.8 + -83.8. Let o = 82.16 + c. What is the third biggest value in o, -3, -0.5?
-3
Let v = 28.751 + 0.049. Let a = v - 29. What is the smallest value in a, -1/8, -2?
-2
Let l(n) = -n + 19. Let d be l(17). Let x = 0.05 - 0.08. Let r be ((-1)/4)/((-3)/(-16)). Which is the smallest value? (a) r (b) x (c) d
a
Let f = -323 - -321. Which is the fourth smallest value? (a) -182 (b) 1/4 (c) f (d) -0.4
b
Let o = -30.5 + 33.5. Which is the biggest value? (a) o (b) -5/12 (c) -0.2
a
Let p = -0.0554 + 0.2554. What is the third smallest value in 0.35, 3, p?
3
Suppose -4*o + 12 = -32. Suppose 4*v + n = -o, -2*v + 2*n = 3*n + 3. Which is the biggest value? (a) 2/9 (b) v (c) 0.2
a
Let t be ((-18)/24)/((-546)/16). Let p = 188/273 - t. Which is the smallest value? (a) 1/5 (b) 11 (c) p
a
Let u = 179.076 + -183. Let n = u - 0.076. Suppose 4*q + 8 = -m, 0 = -2*q - 0*m + 2*m - 14. Which is the smallest value? (a) 3 (b) n (c) q
b
Suppose -11 = -254*s + 253*s + 5*p, 2*p + 26 = -5*s. Let j = 473/3 + -159. Which is the third biggest value? (a) s (b) j (c) 5
a
Let v be 12*((-16)/(-36) - -3). Let w = -42 + v. Which is the fourth biggest value? (a) w (b) 6 (c) -1/9 (d) 0
a
Let n = 1450 - 1451. Let c = 6 - 11. What is the third biggest value in 5, n, -4, c?
-4
Let u = 26 - 23. Suppose -z - 4 = -2, -3*z - 38 = 2*l. Let q be 4/(l/28) + u. Which is the smallest value? (a) q (b) 3 (c) 2
a
Let o = 1158 - 1162. What is the fourth smallest value in 3, o, -2, 2?
3
Let d be 17*((8 - 4) + -3). Let b = d + -52/3. What is the second biggest value in -0.4, 0.1, b?
b
Let w(q) = q + 3. Let m be w(-5). Let r be 2/(3/9 - 66/(-18)). Which is the smallest value? (a) r (b) m (c) 2/5 (d) -10
d
Let a = -28 - -99. Let c = 70.7 - a. What is the biggest value in 1/10, c, 5, 0.3?
5
Let g = 2.5 + -2. Let t = -427 - -407. Which is the second biggest value? (a) t (b) g (c) -1 (d) 2
b
Suppose 13*u - 58 - 7 = 0. Let n = -72 + 67. Which is the third biggest value? (a) u (b) n (c) -3/5
b
Let d = 18 + -17.8. Suppose -2*s = -3*q - 19, -2 = 3*q + 7. Let p = -1.97 + -0.03. Which is the biggest value? (a) s (b) d (c) p
a
Let q(h) = 2*h. Suppose 0 = 2*b - 5 - 5, 2*k - b = -9. Let r be q(k). Let p = 4 + -5. What is the second biggest value in p, r, 0.5?
p
Let h = 10.6556 + -10.72. Which is the second smallest value? (a) 5 (b) h (c) -1
b
Let g = 8/5 - 11/5. Let j = 8976 + -8979. What is the biggest value in g, -2, 5, j?
5
Let b = 5.1 + -0.1. Let k = -2.97 - 0.03. Let a = 39 - 39.5. What is the biggest value in k, b, a?
b
Let l be 2/(-4)*(-2)/3. Let m = -202.9811 + -0.0189. Let z = 202.6 + m. Which is the third biggest value? (a) z (b) l (c) 0
a
Let l = -18.5 + -9.5. Which is the third biggest value? (a) -0.1 (b) 5 (c) l
c
Let s = -0.19 + -4.81. Which is the smallest value? (a) -7 (b) -2 (c) -3/2 (d) s
a
Let w = 0.06 - 0.05. Let y = 3.01 - w. Let v = -6 + y. Which is the third biggest value? (a) v (b) 3/2 (c) 3
a
Let l(f) be the first derivative of -f**4/4 + 6*f**3 + 10*f**2 - 22*f - 15. Let r be l(19). Which is the fourth biggest value? (a) 1 (b) r (c) 0 (d) 5
b
Let o = -18 + 27. Let z = 11 + -2.3. Let r = o - z. Which is the third biggest value? (a) -2/9 (b) 0 (c) r
a
Let y = 7 - 2. Suppose y*k = 4*q - 36, -3*k - 9 - 3 = 0. Which is the second biggest value? (a) q (b) 12 (c) 1
| {
"pile_set_name": "DM Mathematics"
} |
6*i - 7*i + 2*i. Let k(r) be the third derivative of -17*r**4/24 + 4*r**2 + 12*r. Give k(j(w)).
-17*w
Let b(t) = -t**2 - 7*t. Let h(p) be the second derivative of p**3/6 + 3*p. Let g(i) = -3*b(i) - 21*h(i). Let f(l) = -5*l. Give f(g(c)).
-15*c**2
Let c(g) = -251699*g**2. Let x(y) = -14*y**2. What is c(x(w))?
-49333004*w**4
Let o(q) = 4*q + 1. Let s(h) = -88*h**2. Determine o(s(n)).
-352*n**2 + 1
Let u(q) be the third derivative of q**4/4 - 5*q**2. Let c(r) = r - 16*r + 16*r. Determine u(c(g)).
6*g
Let l(y) = 21*y + 26*y - 76*y + 23*y. Let f(q) = -2*q. Determine f(l(u)).
12*u
Let g(u) = 9*u**2. Let l(d) = 3*d + 1169 - 587 - 583. Calculate l(g(y)).
27*y**2 - 1
Let m(c) = 17*c - 5. Let n(t) = -6*t - 29. Let q be n(-4). Let w(p) = -17*p + 4. Let b(h) = q*w(h) - 4*m(h). Let r(g) = g. Give b(r(x)).
17*x
Let x(k) = k**2. Let o = -12 - -21. Suppose 22 = 15*m - 4*m. Let c(l) = 0*l + m*l + o*l. What is x(c(f))?
121*f**2
Let f(y) = -7. Let o(v) = 3*v + 21. Let c(p) = -3*f(p) - o(p). Let l(b) = -2*b. Give c(l(h)).
6*h
Let j(t) = 94*t**2 + 19*t**2 - 302*t**2 + 85*t**2. Let w(z) = -3*z**2. What is j(w(b))?
-936*b**4
Let z(p) = p**2. Let j(l) be the second derivative of -l**5/20 + 2*l**2 - 3*l. Let g(c) be the first derivative of j(c). Determine g(z(i)).
-3*i**4
Let w(q) = -2*q. Let o(i) = -84*i**2 - 11*i - 11. Let b(s) = 16 - 2*s - 38 - 17*s**2 + 20. Let g(h) = -22*b(h) + 4*o(h). Determine w(g(z)).
-76*z**2
Let n = 3/5 - 1/10. Let l(q) be the first derivative of -6 + 0*q + n*q**2. Let x(w) = -9*w**2. What is x(l(y))?
-9*y**2
Let h(q) = 13*q. Let w(o) = 299*o. Let k(u) = 91*h(u) - 4*w(u). Let n(i) = -15*i**2. Calculate k(n(b)).
195*b**2
Let p(c) = -78*c. Let v(t) = 332*t + 3. Calculate p(v(y)).
-25896*y - 234
Let r(v) = 4*v**2. Let j(g) = g**2 + 9989. Give j(r(q)).
16*q**4 + 9989
Let f(v) be the first derivative of -8*v**2 + 60. Let h(b) be the second derivative of 0*b**2 - 1/3*b**3 + 0 + 3*b. Calculate h(f(d)).
32*d
Let u(t) = 28*t. Let i(d) = d**2 + 5*d**2 - 7*d**2. Give u(i(s)).
-28*s**2
Let r(l) = -203*l. Let c(x) = 5*x. Let m(u) = -210*c(u) - 5*r(u). Let t(h) = 21*h**2. Give m(t(w)).
-735*w**2
Let w(f) be the second derivative of f**3/6 - 7*f**2/2 - f. Let v(i) = 14 + 10 - 25. Let l(k) = -21*v(k) + 3*w(k). Let j(a) = a. Determine j(l(p)).
3*p
Let p(q) be the second derivative of -5*q**4/12 - q - 28. Let i(l) = -3*l. Determine p(i(d)).
-45*d**2
Suppose -3*p + 8 = -2*p. Let c(t) = -p*t**2 - 2*t**2 + t**2 + 15*t**2. Let b(v) be the third derivative of v**4/24 + v**2. Calculate b(c(x)).
6*x**2
Let g(j) = 374*j**2. Let i(p) = 21*p**2 + 27*p**2 + 26*p**2 - 96*p**2 + 24*p**2. Calculate g(i(r)).
1496*r**4
Let g(d) = -32*d**2 + 17*d**2 - 32*d**2 + d**2. Let t(i) = 3*i. Calculate g(t(s)).
-414*s**2
Let f(j) be the third derivative of 13*j**5/30 + 10*j**2 - 2. Let a(b) = -3 + b + 3. Give f(a(l)).
26*l**2
Let d(p) = -149*p. Let i(a) = 2*a**2 + 62*a. Calculate d(i(q)).
-298*q**2 - 9238*q
Suppose 1540 - 348 = 4*a. Let c(m) = -298 + 2*m**2 + m**2 + a. Let r(x) = 18*x**2. Calculate r(c(t)).
162*t**4
Let i(n) = n**2 - 162*n - 29. Let j(p) = -p. Give i(j(w)).
w**2 + 162*w - 29
Let p(o) = -6 - 3 + 3 + 6 + 2*o. Let l(x) = 3*x - 35. Determine p(l(d)).
6*d - 70
Let w(z) = z**2 - 4612*z. Let g(j) = j. Calculate w(g(m)).
m**2 - 4612*m
Let t(i) = 8*i**2 + 3*i. Let q(m) = -m**2 + m. Let s(g) = -3*q(g) + t(g). Let y(v) = -429 + 429 + 2*v. Determine s(y(u)).
44*u**2
Let l(u) be the third derivative of 3*u**4/2 - 8*u**2 + 3. Let d(k) = -6*k**2. What is l(d(p))?
-216*p**2
Suppose -h + 8 = -2*a, -3*h - a - 1 - 3 = 0. Let g(l) be the second derivative of 0 + h*l**2 + 7/6*l**3 + 4*l. Let f(x) = x**2. What is f(g(o))?
49*o**2
Let o(r) = 4*r + 6. Let q(b) = b + 2. Let y(m) = 5*o(m) - 15*q(m). Let g(u) = -19*u**2. What is y(g(d))?
-95*d**2
Let k(v) = 7*v**2. Let w be (-28)/(-42) + 8/6. Let l(d) = 3*d - 6*d + w*d + 2*d. Calculate l(k(b)).
7*b**2
Let s(q) = q**2. Suppose -3 = 9*f - 39. Let r(u) = u**2 + u. Let x(o) = 5*o**2 + 4*o. Let d(i) = f*r(i) - x(i). Give d(s(c)).
-c**4
Let x(i) = -2*i**2 - 2. Let h(m) = -2*m**2 - 3. Let n(j) = 2*h(j) - 3*x(j). Let b(y) = -18*y**2 + 59868*y - 59868*y. Determine n(b(a)).
648*a**4
Let f(x) = 2. Let u(y) = -2*y - 2. Let t(v) = -3*f(v) - 3*u(v). Let q(m) = 2*m**2. Determine q(t(n)).
72*n**2
Let n(h) be the first derivative of -h**2/2 + 61. Let u(i) = -3*i. What is u(n(t))?
3*t
Let f(x) be the third derivative of x**5/20 - x**2 + 10*x. Let o(l) = 26*l. What is f(o(g))?
2028*g**2
Let j(t) = t**2. Let z(g) = g + 1. Let r(l) be the third derivative of -l**5/20 - 3*l**4/8 - l**3/6 - 7*l**2. Let s(a) = r(a) + z(a). Determine s(j(m)).
-3*m**4 - 8*m**2
Let g(u) = -7*u + 12. Let l(i) = 6*i - 10. Let w(s) = -5*g(s) - 6*l(s). Let x(c) = -143*c + 2. Determine x(w(q)).
143*q + 2
Let g(h) = 7*h. Let m(d) be the second derivative of -d**3/2 + 5*d**2 - 4*d + 29. Give g(m(b)).
-21*b + 70
Let d be 16 - (-2 - 1)*-1. Let k(p) = -13 + d - 4*p. Let j(c) = 2*c + 5. Let f(u) = -1. Let q(x) = -5*f(x) - j(x). Determine q(k(v)).
8*v
Let w(m) = -15898*m. Let h(b) = 4*b. Give w(h(u)).
-63592*u
Let r(a) = 60810*a. Let y(n) = -3*n**2. Give r(y(q)).
-182430*q**2
Let y(x) = 2*x + 113396 - 113396. Let v(q) = 392*q**2. What is y(v(c))?
784*c**2
Let x(n) = -2*n - 60720. Let t(s) = s**2. Calculate t(x(k)).
4*k**2 + 242880*k + 3686918400
Let n(h) = 7*h**2. Let l(y) = -10*y**2. Let m(g) = -5*l(g) - 7*n(g). Suppose 8 = 11*v - 7*v. Let d(u) = -u**v + 3*u**2 - 8*u**2. Determine m(d(c)).
36*c**4
Let f(y) = 4*y - 2. Let x(u) = 6*u**2 + 5. Let m(n) = 7*n**2 + 6. Let a(b) = 5*m(b) - 6*x(b). Determine a(f(d)).
-16*d**2 + 16*d - 4
Suppose -20 = -21*b + 11*b. Let c(k) = 49*k - 21*k - 28*k + b*k**2. Let f(x) = -2*x**2 + 10. Calculate f(c(q)).
-8*q**4 + 10
Let d(m) = -2*m**2. Suppose -3*k = -0 - 3, -4*y + 2*k + 26 = 0. Let p(u) = -u + y*u + 3*u. What is p(d(i))?
-18*i**2
Let l(v) = -14*v**2 - 3. Let t(q) = 118*q**2. Determine t(l(z)).
23128*z**4 + 9912*z**2 + 1062
Let z(j) = -979*j. Let c(l) = -44*l**2. Give c(z(t)).
-42171404*t**2
Let b(r) = -2*r. Let s(u) = -54140*u + 3. What is s(b(q))?
108280*q + 3
Let w(v) = 8*v**2. Let j be ((-1)/3)/(11/66). Let n = j + 2. Let k(c) = -c**2 + 0*c**2 + n*c**2. Give w(k(s)).
8*s**4
Let w(v) be the first derivative of -v**2/2 - 556. Let k(c) = 329*c. What is w(k(h))?
-329*h
Let w(q) = 87*q + 2. Let a(i) = 561*i + 562*i - 1126*i. Calculate w(a(l)).
-261*l + 2
Let a(y) = y. Let s = -7 - -14. Let p = -4 + s. Let k(m) = -2*m + 2*m - 3*m - p*m. What is a(k(n))?
-6*n
Let j(f) = -197 + 96 + 101 + f**2. Let m(i) = 14*i - 4. Determine m(j(t)).
14*t**2 - 4
Suppose t = -4*p - 15, 4*p = -3*t - 0*t - 13. Let a = -2 - p. Let l(x) = 2*x - a + 4 - 2. Let d(f) = 7*f. Give l(d(h)).
14*h
Let i(d) = -31*d**2 + 5*d + 2. Let a(l) = -41*l. Calculate i(a(x)).
-52111*x**2 - 205*x + 2
Let w(k) be the second derivative of 19*k**4/12 - 6*k - 7. Let j(z) = -8*z**2. Determine j(w(h)).
-2888*h**4
Let z(f) = -94*f. Let t(y) = -8924*y. Calculate t(z(d)).
838856*d
Let u(w) be the third derivative of w**5/30 - 12*w**2. Let a(j) = -987*j + 56. Let k(c) = 52*c - 3. Let m(n) = 3*a(n) + 56*k(n). What is m(u(b))?
-98*b**2
Let c(v) = 98731*v. Let l(k) = -2*k. Determine l(c(j)).
-197462*j
Let u(y) = 892*y**2. Let h(a) = 61*a. What is u(h(d))?
3319132*d**2
Let q(d) = 241*d**2. Let f(i) = -346*i. Give f(q(t)).
-83386*t**2
Let z(c) = -8*c**2. Let q(w) = 11809*w. Calculate q(z(p)).
-94472*p**2
Let s(j) = -99*j**2. Let o(u) = 35*u + 1. What is s(o(w))?
-121275*w**2 - 6930*w - 99
Let b(f) = 2*f - 8. Let q be b(4). Let s(u) = 2*u + q*u - 3*u. Let c(g) = -8*g - 4*g + 16*g. Give c(s(l)).
-4*l
Let q(k) = 5*k**2 + 7*k**2 + 11 - 11. Let j(r) = 12*r + 11. Let y(c) = c + 1. Let z = -9 + -13. Let w(d) = z*y(d) + 2*j(d). Give q(w(f)).
48*f**2
Let x(s) = 7*s - 392 + 392 - 5*s. Let m(z) = 204*z. Determine m(x(p)).
408*p
Let a(x) = -223325*x**2 + 2*x. Let c(q) = q. Give c(a(v)).
-223325*v**2 + 2*v
Let n = -158 - -168. Let p(k) = -5*k - n*k - 7*k + 27*k. Let l(a) = -2*a**2 - 4*a + 4*a. Give p(l(s)).
-10*s**2
Let i(u) be the third derivative of -u**7/105 + 11*u**4/12 - 4*u**2 + u. Let j(y) be the second derivative of i(y). Let g(d) = 3*d. Give j(g(p)).
-216*p**2
Let x(u) be the second derivative of 8*u**4/3 + 31*u. Let c(z) b | {
"pile_set_name": "DM Mathematics"
} |
4
In base 10, what is 15597 - -89?
15686
In base 8, what is -41 - 12762?
-13023
In base 14, what is 68 - -3219?
3283
In base 9, what is 1 + 5382?
5383
In base 2, what is -100000010110011101001 + -10?
-100000010110011101011
In base 4, what is -2003 - -22121?
20112
In base 7, what is -5460 + -564?
-6354
In base 2, what is -11000111101001110001 + -101?
-11000111101001110110
In base 11, what is -7a2 + 30?
-772
In base 5, what is 3300 - 1340?
1410
In base 11, what is -279 + -123?
-3a1
In base 12, what is 1268b66 + 0?
1268b66
In base 7, what is -1434 - 24403?
-26140
In base 16, what is -5 + -47ac?
-47b1
In base 10, what is 28693 - 3?
28690
In base 7, what is 4 - -345541?
345545
In base 13, what is 17 - -2100?
2117
In base 9, what is -414847 - 0?
-414847
In base 2, what is 0 - 1101001000110111?
-1101001000110111
In base 9, what is -3 + 532811?
532807
In base 9, what is -20 + -13125?
-13145
In base 2, what is 11001001100100010110000 - -1?
11001001100100010110001
In base 6, what is 3320 + 302?
4022
In base 5, what is 244 - 431?
-132
In base 3, what is -221002 - -220?
-220012
In base 10, what is -511108 + -4?
-511112
In base 9, what is -6 + 2132662?
2132655
In base 6, what is 5224 - 41?
5143
In base 8, what is 224 - 413?
-167
In base 4, what is 3 - 32030002?
-32023333
In base 13, what is 25083 + 2?
25085
In base 11, what is 3a89 + 142?
4120
In base 9, what is 6 - 80235?
-80228
In base 6, what is 0 + 23101?
23101
In base 3, what is 10021001221 - 1122?
10021000022
In base 5, what is 10 + -1121211?
-1121201
In base 8, what is -16471 - 27?
-16520
In base 2, what is 11011110001 - 1101?
11011100100
In base 6, what is 234325 + 1?
234330
In base 16, what is 1713 + -8?
170b
In base 5, what is -12343231 - 3?
-12343234
In base 16, what is 6 + 1eae?
1eb4
In base 7, what is -1 + -305310?
-305311
In base 4, what is -1133121231 - -11?
-1133121220
In base 10, what is 1168 - -1?
1169
In base 8, what is 1714 + 256?
2172
In base 10, what is -2 + -39362?
-39364
In base 4, what is 220 - -1021123?
1022003
In base 3, what is -100210011110 - -10?
-100210011100
In base 8, what is 3 + -111334?
-111331
In base 11, what is -1 - 9a1a?
-9a20
In base 2, what is -11 + 11110011001011001001?
11110011001011000110
In base 3, what is -1100 + 111001001?
110222201
In base 4, what is 32120203123 + 11?
32120203200
In base 14, what is -b458 - -2?
-b456
In base 10, what is -41 + 42584?
42543
In base 5, what is -2 + -12133033?
-12133040
In base 4, what is -3130 - 23213?
-33003
In base 12, what is -36 - -8836?
8800
In base 13, what is 5 - b0997?
-b0992
In base 10, what is -1 + -1251294?
-1251295
In base 10, what is 29 - 1752?
-1723
In base 14, what is 2 + -5a89d?
-5a89b
In base 8, what is 121 + -12341?
-12220
In base 16, what is 83aa - -10?
83ba
In base 13, what is 45 + 1023?
1068
In base 2, what is 11101110 + -1001001010?
-101011100
In base 10, what is 1 - -46191?
46192
In base 6, what is 110145 + 0?
110145
In base 6, what is 112401 + -112?
112245
In base 3, what is -11 - -2100022221?
2100022210
In base 4, what is 131 + -2313?
-2122
In base 5, what is 41 + 144211?
144302
In base 10, what is 12 - 10922?
-10910
In base 11, what is -2808 - -61?
-2757
In base 8, what is 125 + -2060?
-1733
In base 3, what is -12010 + -1011?
-20021
In base 5, what is 130144 - -20?
130214
In base 2, what is 100011010111111 + -1?
100011010111110
In base 5, what is 3 - -111323331?
111323334
In base 5, what is 2241333 - 112?
2241221
In base 9, what is -871 - 31?
-1012
In base 3, what is 2 + -112112112?
-112112110
In base 9, what is 3 - -1320165?
1320168
In base 14, what is c2b - -d8?
d25
In base 3, what is -1 - -101122222?
101122221
In base 14, what is 0 + 251bba?
251bba
In base 16, what is 3c + 3a?
76
In base 15, what is -29 - 17758?
-17782
In base 6, what is 14552 - -300?
15252
In base 11, what is 12a4 + 1009?
2302
In base 9, what is -146061 + -6?
-146067
In base 15, what is 8 - -778c?
7795
In base 9, what is -107 - 50027?
-50135
In base 10, what is 5 + -526037?
-526032
In base 11, what is -5 - -103569?
103564
In base 13, what is -41 + -3a3?
-414
In base 14, what is -3 + -191ba?
-191bd
In base 10, what is 0 + -485971?
-485971
In base 6, what is -3413 - 2512?
-10325
In base 14, what is 1c - 2c80?
-2c62
In base 16, what is -3bc3 - 1f?
-3be2
In base 4, what is 11 - -1030320332?
1030321003
In base 6, what is 31403 - -31?
31434
In base 15, what is ab + -230?
-174
In base 12, what is 0 - 15b96?
-15b96
In base 13, what is -b796 + -3?
-b799
In base 10, what is 2 + 16030?
16032
In base 5, what is 12032 + 21?
12103
In base 7, what is 1043332 + -3?
1043326
In base 11, what is 3a + 27?
66
In base 10, what is 28477 - 5?
28472
In base 4, what is -121033113 - 3?
-121033122
In base 13, what is 0 + a39a?
a39a
In base 14, what is 12c2 + -20?
12a2
In base 7, what is -326301 + -4?
-326305
In base 4, what is 21300232 + 0?
21300232
In base 2, what is -101 + 10100000111011111?
10100000111011010
In base 6, what is 3435550 - -4?
3435554
In base 13, what is 4 - -3cbca?
3cc01
In base 16, what is -fa + -14?
-10e
In base 7, what is -1412 + -6?
-1421
In base 15, what is -202 - 2bb?
-4bd
In base 5, what is 4011042 + -3?
4011034
In base 14, what is 1 - -15?
16
In base 15, what is aa2 + 7?
aa9
In base 2, what is 100 - -1010101010011110111?
1010101010011111011
In base 5, what is 2104 - -4223?
11332
In base 10, what is -180978 - 2?
-180980
In base 2, what is 1001111001100001 + 111001?
1001111010011010
In base 14, what is 2 + 4334?
4336
In base 16, what is 0 - -79f9?
79f9
In base 13, what is -13 - a15a?
-a170
In base 10, what is -3262 - 320?
-3582
In base 8, what is -252 + 110?
-142
In base 9, what is -37666 + 2?
-37664
In base 14, what is -62d4 - 1?
-62d5
In base 10, what is -1191 - 510?
-1701
In base 13, what is -88 - -967?
8ac
In base 8, what is -2 + -275657?
-275661
In base 13, what is -312 - aab?
-10c0
In base 16, what is -21a - 3f?
-259
In base 14, what is 95295 + -5?
95290
In base 4, what is 22 - 101333303?
-101333221
In base 13, what is 98 - 383c?
-3774
In base 7, what is -61 - 6006?
-6100
In base 13, what is -13 + -6799?
-67ac
In base 8, what is 105462 - -17?
105501
In base 3, what is -12212200 + 110?
-12212020
In base 2, what is -10110111011101 + -110101?
-10111000010010
In base 4, what is -21 - -2232312?
2232231
In base 15, what is -6c27 - 9?
-6c31
In base 3, what is -2 - 1010022?
-1010101
In base 9, what is -264 + -7834?
-8208
In base 16, what is -4 - 3bce3?
-3bce7
In base 3, what is -10 - -12022122011?
12022122001
In base 7, what is 2 + -1226560?
-1226555
In base 16, what is -71 + -21?
-92
In base 4, what is 1212 + -1130210?
-1122332
In base 12, what is 5b8 - -278?
874
In base 8, what is -131 + 2430?
2277
In base 4, what is 1130 - 1323232?
-1322102
In base 16, what is a - -4c64?
4c6e
In base 11, what is 57324 - 0?
57324
In base 2, what is 11100001010 + 1001?
11100010011
In base 12, what is 4 + -3658?
-3654
In base 7, what is 12 - 204541?
-204526
In base 8, what is 601 - -165?
766
In base 10, what is 3766 - 1?
3765
In base 9, what is 15 - -542644?
542660
In base 8, what is 51 + 3264?
3335
In base 8, what is 20 - -17723?
17743
In base 16, what is -20f + 9a?
-175
In base 13, what is 209c - 6?
2096
In base 10, what is 82 + -17687?
-17605
In base 8, what is -3 - 221122?
-221125
In base 5, what is -2132 - -3141?
1004
In base 4, what is -3 - -133310120?
133310111
In base 5, what is 21 - 24302230?
-24302204
In base 6, what is -20 + 323530?
323510
In base 7, what is 11132 - -10?
11142
In base 3, what is -1210100002 - 11010?
-1210111012
In base 5, what is -3332 + -3210?
-12042
In base 8, what is 23 - 75?
-52
In base 13, what is -182 + 381?
1cc
In base 11, what is -51907a + -5?
-519084
In base 11, what is -650 - 60?
-700
In base 8, what is -2410021 + 0?
-2410021
In base 12, what is 1b782 - -10?
1b792
In base 4, what is -121033231 - 2?
-121033233
In base 6, what is -4 - -240235?
240231
In base 15, what is -1 - 166b2?
-166b3
In base 10, what is 6818 - -48?
6866
In base 16, what is 4862a - -3?
4862d
In base 6, what is 54113 - 22?
54051
In base 15, what is 0 - -4a83?
4a83
In base 16, what is -76 - aaf?
-b25
In base 12, what is -1197a7 - -2?
-1197a5
In base 16, what is -3ee - -15d?
-291
In base 16, what is 3a - -1b?
55
In base 7, what is -520405 + -4?
-5 | {
"pile_set_name": "DM Mathematics"
} |
(a) -1 (b) 301 (c) -728.5 (d) 3
b
Which is the second biggest value? (a) -3/8 (b) 131.81 (c) -2/3 (d) 3 (e) 0.3 (f) 6/13
d
Which is the third smallest value? (a) -6134 (b) 0.4 (c) -62/7
b
What is the third biggest value in -2/21, 3, 0.83, -0.44, 0.5?
0.5
Which is the fourth smallest value? (a) -2.4 (b) -1 (c) 1/9 (d) 1464 (e) 2
e
Which is the fourth biggest value? (a) -306/7 (b) 1.5 (c) 0.06 (d) 2/179
a
What is the biggest value in 1/345, 12.862, 0.4, -0.3?
12.862
What is the biggest value in 3, -0.1, -2, 40556, 1/105, 1/3?
40556
Which is the third smallest value? (a) -0.4 (b) -5/11 (c) -278/17 (d) 3
a
What is the fifth smallest value in -1, -8, 0.1777, 3, -1.92?
3
Which is the smallest value? (a) -2 (b) -1/3 (c) -8/21 (d) 240 (e) 23.7 (f) 0.4
a
Which is the third smallest value? (a) 0.731 (b) 4/15 (c) 136 (d) 2
d
What is the fourth smallest value in 0, 2/3, -2, 6, -15/13387?
2/3
What is the third biggest value in 380, -12, -1/11, 2/13, -5, -3/2, -2?
-1/11
Which is the fourth smallest value? (a) -0.4 (b) 28 (c) -0.1 (d) 1 (e) 0 (f) 7.513
d
What is the biggest value in -2/55, -5, -3309811?
-2/55
What is the seventh smallest value in -0.3, -3/5, 8, 2, -3.6, 1/9, -2/41?
8
What is the second smallest value in -1/4, 1/6, 4, -7123, 4/9, 17, 1?
-1/4
What is the second biggest value in -379, -13/62, 5?
-13/62
Which is the third smallest value? (a) 5/8 (b) 0.734 (c) 3 (d) 10
c
What is the fourth biggest value in -11, 1, -0.1, 4, 0, -9, 103?
0
What is the second biggest value in 2, -1, 9, -23, -19, -4?
2
What is the third smallest value in 5, 948.25, -8, -2/21?
5
What is the fifth smallest value in 2/5, 0.1, -6, -32, 1/52, -77?
0.1
Which is the third smallest value? (a) 9 (b) 1 (c) 21766 (d) 4 (e) 0.3 (f) 2
f
What is the second biggest value in 0.5, 2/3, 0.2, -790601?
0.5
Which is the third smallest value? (a) -858/599 (b) -4 (c) -5 (d) 3
a
What is the biggest value in -9/5, 2/15, -16, 0.06, -3, -0.5?
2/15
Which is the third biggest value? (a) 133902 (b) 2/13 (c) 1/7
c
What is the second biggest value in -0.1, -31, -290, -235?
-31
Which is the smallest value? (a) -0.5 (b) 0.4 (c) 6/67 (d) 1 (e) -0.1 (f) 0.53
a
Which is the fourth biggest value? (a) 0.01 (b) 6 (c) -2/9 (d) 0.08 (e) -0.08 (f) -2
e
Which is the fifth smallest value? (a) 1 (b) -2/17 (c) -2 (d) -17 (e) 4779
e
Which is the third biggest value? (a) 0 (b) -1.5294 (c) 1743
b
What is the third biggest value in -1, -5, 65/32, -0.4, 5, -82?
-0.4
Which is the fourth smallest value? (a) -3/128 (b) -460 (c) -22 (d) 0.5
d
Which is the fifth biggest value? (a) -2/21 (b) 82 (c) -33 (d) -1/2 (e) -44 (f) 2/3 (g) -8
g
What is the biggest value in -3, 0.4, -251, 142, -0.017, 1?
142
Which is the biggest value? (a) -19 (b) 1/6 (c) 4.5 (d) -864/13 (e) -3 (f) 1/9
c
What is the smallest value in -1070.6635, 1/8, 2?
-1070.6635
What is the second biggest value in 42, -3, -2, 47.53?
42
What is the biggest value in -2, -17313, -391/2, -4?
-2
Which is the seventh biggest value? (a) -38 (b) -0.08 (c) -0.05 (d) 1 (e) -4/3 (f) -1/5 (g) 2/3
a
Which is the second smallest value? (a) -6 (b) -17095 (c) -2/5 (d) -4/7
a
Which is the seventh smallest value? (a) -0.4 (b) -0.02 (c) -5 (d) -37 (e) 2/5 (f) 0.01 (g) -1/13
e
Which is the second biggest value? (a) 33 (b) -0.3 (c) -554 (d) 3 (e) -3 (f) -1/5
d
Which is the third biggest value? (a) -0.5 (b) 809 (c) 120.1
a
Which is the seventh biggest value? (a) 37 (b) -4 (c) 0.1 (d) -2/29 (e) 4.68 (f) 3 (g) -0.2
b
Which is the third smallest value? (a) -3 (b) 92121 (c) -5 (d) -6
a
Which is the second smallest value? (a) 53 (b) 1/3 (c) 1 (d) -3058
b
Which is the second biggest value? (a) 17 (b) -75170.53 (c) 0
c
What is the fifth biggest value in 10, -0.2, -3, 15, 91/11, 0?
-0.2
What is the fifth biggest value in -1/2, -0.2, 0.2, 29, -33, -0.03?
-1/2
Which is the second smallest value? (a) 11 (b) 0.4 (c) 2935398
a
What is the third smallest value in 0, 0.31, 21, -84?
0.31
What is the smallest value in 425, 5, 604, -10?
-10
Which is the fifth smallest value? (a) 0.4 (b) 2/9 (c) 1/7 (d) -257747 (e) 2/7 (f) -3 (g) 1/3
e
Which is the second biggest value? (a) -1780 (b) -2/21 (c) 4
b
Which is the second biggest value? (a) -4 (b) 14 (c) 0 (d) 1.007
d
Which is the third biggest value? (a) -2/7 (b) 24053 (c) 61
a
What is the fifth biggest value in -2/169, 2, 2779, 3, 20?
-2/169
What is the second biggest value in 2625.56, 0, 0.5?
0.5
Which is the sixth biggest value? (a) -29 (b) 0 (c) -14/9 (d) 0.05 (e) -0.4 (f) -319
f
Which is the third biggest value? (a) 2 (b) 1 (c) -4 (d) -169/4 (e) -0.5 (f) 4 (g) -141834
b
What is the biggest value in -2, -10/71, -85443/4?
-10/71
Which is the third smallest value? (a) 547 (b) -304 (c) -85
a
Which is the second biggest value? (a) 20 (b) 18 (c) 2 (d) 255 (e) 0 (f) -0.5
a
What is the second smallest value in -3, -3/22, 2, -0.2, 0.342, -0.5?
-0.5
What is the third smallest value in 3, -4, 2, -3/14, -0.745, 1/2?
-3/14
What is the fourth smallest value in 2, 0, 328.7, -308, 0.5?
2
What is the fourth smallest value in 4, 0.073, 3, -2/5, -12/5, 2/9, 0.01?
0.073
Which is the second smallest value? (a) 2 (b) 1/8 (c) -7/4292 (d) -31
c
What is the biggest value in 76/64875, -3/8, -8?
76/64875
What is the sixth smallest value in 3/8, -1, -6.5, 2, -10, 7/5?
2
What is the third biggest value in 5, -0.141, -0.5, 6136, 1, -0.1, 0.5?
1
Which is the third biggest value? (a) 4456 (b) -2/169 (c) -0.5 (d) -40
c
Which is the seventh biggest value? (a) 4/5 (b) -5 (c) 3 (d) -179 (e) 9 (f) 6/5 (g) -1
d
Which is the fourth smallest value? (a) -0.4 (b) -4 (c) -586 (d) -0.023
d
Which is the fourth biggest value? (a) -13320 (b) 0.1 (c) 2/7 (d) 9
a
Which is the biggest value? (a) 2/19 (b) -2/9 (c) -0.253 (d) 8/111 (e) 7/2
e
What is the second smallest value in -4, 4391.421, -1?
-1
What is the second smallest value in 2, 4/7, -185062814/3?
4/7
What is the fifth smallest value in -0.007, 1, -0.1, -0.36, 1/4, -1/4?
1/4
What is the smallest value in 2/5, -991, -0.0117?
-991
Which is the smallest value? (a) 0.2 (b) -4814 (c) -1 (d) -261/4
b
What is the biggest value in -196.1, 12/11, 5, -5.607?
5
What is the smallest value in -0.3, 2, 0.4, 48161098, -2/13?
-0.3
Which is the sixth smallest value? (a) 1 (b) -2 (c) 2 (d) -28 (e) -36 (f) -1/12
c
What is the second smallest value in 2/9, 1.53, -0.5, 5, 17/5?
2/9
Which is the third smallest value? (a) 17828 (b) -4 (c) 6174
a
Which is the fourth biggest value? (a) -1.67 (b) -6231/10 (c) -2 (d) 3
b
What is the third biggest value in 0.0081, 22284/11, 3/2, -0.3, 0.2?
0.2
What is the third biggest value in 46, 0, -5, 371?
0
What is the seventh biggest value in -3, 93859, 2, -5/2, 4, 5, -0.3?
-3
What is the third smallest value in 5789/4, 2/5, 1/3?
5789/4
What is the fourth smallest value in -4, -162, 216, -1/2?
216
What is the third biggest value in -0.2, -2105715, -1/103?
-2105715
What is the third biggest value in 2/15, -68/5, 33/2, 4, -5, -4, -1/5?
2/15
What is the second smallest value in -4, 1, -1560008?
-4
What is the third smallest value in -6/19, -120740/23, -0.1?
-0.1
What is the second biggest value in -470, 1/7, 1/11, -3/49, 0.5, -3?
1/7
Which is the second biggest value? (a) 10/41 (b) -0.06 (c) 68/7
a
Which is the sixth smallest value? (a) 2/5 (b) -5/21 (c) 4/5 (d) -31 (e) -5 (f) 3
f
What is the third biggest value in 6056, -3/2, 11, 4?
4
What is the third smallest value in -1/26853, 2/5, -170?
2/5
What is the third smallest value in -2/7, -2/3, -0.2, -8337, 0, -14?
-2/3
What is the third smallest value in -0.2, -26063, -2409?
-0.2
What is the third smallest value in 0.3, 2, -3245, -95, -0.4, 3/2, 2/7?
-0.4
What is the fifth biggest value in 0, 14, -0.09, -0.4, -3, 266?
-0.4
What is the biggest value in -229, 54, 4, -99, -1?
54
Which is the fifth biggest value? (a) 9.4 (b) -2 (c) 11 (d) 1/2 (e) 91
b
Which is the fourth biggest value? (a) -1330978 (b) 4 (c) 0.9 (d) -2 (e) -4
e
Which is the sixth smallest value? (a) 1 (b) -25/7 (c) -3 (d) -0.2 (e) -267/5 (f) 7
f
What is the smallest value | {
"pile_set_name": "DM Mathematics"
} |
31 - -43013?
43044
In base 4, what is -21000101 - -3?
-21000032
In base 16, what is 6b61a - -4?
6b61e
In base 2, what is 1110010 + 1011000011?
1100110101
In base 16, what is 6ea9 + -9?
6ea0
In base 3, what is -1102020021 - -10121?
-1102002200
In base 15, what is -3 - 79494?
-79497
In base 5, what is 42411 + -34?
42322
In base 12, what is 3b - -25959?
25998
In base 6, what is -311353 - 20?
-311413
In base 10, what is 3 + 436542?
436545
In base 15, what is -39693 + -5?
-39698
In base 7, what is 12110 - 5?
12102
In base 15, what is -4 - 66d4?
-66d8
In base 9, what is -6 - 641570?
-641576
In base 2, what is -11111000010 + 10000?
-11110110010
In base 3, what is 10112111 - -121221?
11011102
In base 13, what is 103 + 1232?
1335
In base 2, what is 10101010001 - 1001010?
10100000111
In base 5, what is 20103 + -31?
20022
In base 11, what is -295 - -3898?
3603
In base 9, what is 2 + -50108?
-50106
In base 8, what is 44 + -12412?
-12346
In base 9, what is -13 + -157728?
-157742
In base 2, what is -1110010 + -100000011110?
-100010010000
In base 10, what is 68 - -384?
452
In base 9, what is 115010 - 1?
115008
In base 16, what is 1f + -14e0?
-14c1
In base 10, what is -2099 + 5?
-2094
In base 15, what is -6d1 + -72e?
-e10
In base 15, what is 29da - 1c?
29bd
In base 10, what is -58 - -9220?
9162
In base 6, what is -11 + 12052?
12041
In base 13, what is 1855 + -142?
1713
In base 14, what is -152b3 - 4?
-152b7
In base 11, what is -5950 - -109?
-5842
In base 9, what is 5654 + 213?
5867
In base 10, what is 1392 + -21?
1371
In base 4, what is -113020 + 21332?
-31022
In base 11, what is -7a96 + -129?
-8114
In base 11, what is 789 - 22a?
55a
In base 4, what is -1333133 - 21?
-1333220
In base 4, what is 3221001 + -1113?
3213222
In base 13, what is -708 + -66?
-771
In base 2, what is -101 + 11010010101111111?
11010010101111010
In base 5, what is 1322333314 + 2?
1322333321
In base 15, what is 12 - -c377?
c389
In base 13, what is -69 + -b2?
-14b
In base 12, what is -5 + 16b25?
16b20
In base 4, what is -1101313 + 10200?
-1031113
In base 12, what is -7222 + 13?
-720b
In base 5, what is 23 + -2044?
-2021
In base 10, what is 2897 + 5?
2902
In base 7, what is -1362 - 1316?
-3011
In base 8, what is -4 - -4526507?
4526503
In base 3, what is 112101022102 - -12?
112101022121
In base 7, what is 40 - 4336?
-4266
In base 6, what is -4 + 1414522?
1414514
In base 11, what is -177232 + -a?
-177241
In base 12, what is -4 + -47a5?
-47a9
In base 14, what is 5bcd13 + -5?
5bcd0c
In base 6, what is -53512002 - 1?
-53512003
In base 3, what is 11 - 1020110112?
-1020110101
In base 10, what is 167 + -320?
-153
In base 7, what is -2022120 + -3?
-2022123
In base 7, what is 211 - 230?
-16
In base 3, what is 2 - 10120122122?
-10120122120
In base 16, what is -111b - -75?
-10a6
In base 2, what is -10100010010001 - -1000001010?
-10011010000111
In base 2, what is -101 - -10010010100101011000?
10010010100101010011
In base 9, what is 1 - -5331?
5332
In base 7, what is 5 + 3064551?
3064556
In base 16, what is ae84 + 9?
ae8d
In base 12, what is 78a8 - -50?
7938
In base 12, what is -6386 + -220?
-65a6
In base 9, what is 3608853 + 0?
3608853
In base 6, what is -3 - 31110?
-31113
In base 10, what is 254 + -86?
168
In base 12, what is -2 + -75a2?
-75a4
In base 15, what is 16 + -18be0?
-18bc9
In base 7, what is 115 - 320624?
-320506
In base 4, what is -1 + 31220?
31213
In base 14, what is 3 - 19c?
-199
In base 4, what is 2102 + -11101?
-2333
In base 6, what is -14 + 150501?
150443
In base 7, what is -40004043 + 2?
-40004041
In base 10, what is 387 + -1180?
-793
In base 15, what is 28cb - -7?
28d3
In base 13, what is -12332 - 1?
-12333
In base 8, what is -331006 + -22?
-331030
In base 15, what is 4a - -18?
63
In base 12, what is -2a9b - 12?
-2ab1
In base 6, what is -54 - -1553121?
1553023
In base 10, what is -1044 - -425?
-619
In base 15, what is 36e22 - 8?
36e19
In base 13, what is 15 - 19?
-4
In base 7, what is -30430 - 30?
-30460
In base 15, what is c2 - -1914?
19d6
In base 13, what is 7 + -1095c?
-10955
In base 6, what is 2043033 + -2?
2043031
In base 15, what is bec8 + -2?
bec6
In base 11, what is 2a32 - 4a?
2993
In base 4, what is -202020200 + -2?
-202020202
In base 14, what is -6 - -27d80?
27d78
In base 14, what is 0 + 2c801?
2c801
In base 13, what is 3c + -9a8?
-969
In base 11, what is -1 + 7728?
7727
In base 3, what is 2012222 + -121?
2012101
In base 4, what is -11 - 331320212?
-331320223
In base 4, what is -10011330 - -22?
-10011302
In base 4, what is -3113 - 0?
-3113
In base 12, what is -15a9b - 8?
-15aa7
In base 13, what is -3b4bb + -3?
-3b4c1
In base 4, what is 1000 - 2010?
-1010
In base 15, what is 3e854 + 5?
3e859
In base 5, what is -4124114 + 13?
-4124101
In base 10, what is -12 - 5239?
-5251
In base 13, what is 4 - -a109?
a110
In base 5, what is 4210 + 1001?
10211
In base 15, what is a7e - -15a?
bd9
In base 10, what is 128 - -3130?
3258
In base 4, what is -13201331 - -11?
-13201320
In base 13, what is 13b + -75?
96
In base 7, what is 4336542 + 4?
4336546
In base 9, what is 241600 + -8?
241581
In base 6, what is 151 + -31220?
-31025
In base 14, what is 5 - -2667?
266c
In base 11, what is -3a00 - 10?
-3a10
In base 6, what is -1 + 35141544?
35141543
In base 3, what is -10 + -10202201?
-10202211
In base 14, what is -1563 - 6?
-1569
In base 9, what is -8 + 48211?
48202
In base 11, what is -23a3745 + -4?
-23a3749
In base 6, what is -15 + 1240424?
1240405
In base 12, what is 262a0 + -1?
2629b
In base 12, what is 8 - -12b2?
12ba
In base 4, what is 112 - 1331320?
-1331202
In base 12, what is 1831692 + -4?
183168a
In base 6, what is 50 + 21024?
21114
In base 4, what is -12 - 211201330?
-211202002
In base 3, what is 1 + 1020201021?
1020201022
In base 3, what is 1201221 + 1100?
1210021
In base 5, what is -12431312 - 13?
-12431330
In base 10, what is -3 + -6609?
-6612
In base 4, what is -313232 + -11?
-313303
In base 3, what is 1101 - 12212112?
-12211011
In base 2, what is 1000101011100 - -101?
1000101100001
In base 13, what is 1 - 98b?
-98a
In base 3, what is -1 - -11100202?
11100201
In base 2, what is -1110010001101110 + -100010?
-1110010010010000
In base 3, what is -12120 - -1002111?
212221
In base 10, what is -790 + 23?
-767
In base 7, what is 3250 + -24?
3223
In base 15, what is -23c - -5c1?
384
In base 15, what is -6 + -121a?
-1221
In base 12, what is 3 - -b109?
b110
In base 12, what is -1 - 3128?
-3129
In base 3, what is 1101221 + 1?
1101222
In base 6, what is 5 - 5412031?
-5412022
In base 14, what is 1 + 8?
9
In base 16, what is d961 - 3e?
d923
In base 13, what is -581 + -11b8?
-1769
In base 2, what is -100100011101000000 + 10110?
-100100011100101010
In base 7, what is -166630 + 1?
-166626
In base 16, what is 19 - -2010?
2029
In base 3, what is 12 + 101200021?
101200110
In base 2, what is 1 - -10001000111100?
10001000111101
In base 12, what is 3 + 10b0?
10b3
In base 13, what is 2 + -a798?
-a796
In base 5, what is -134 + -22344?
-23033
In base 6, what is -103203 - 0?
-103203
In base 15, what is 1ee043 + 0?
1ee043
In base 5, what is 1133 + 11414?
13102
In base 3, what is -11 - -10111001100?
10111001012
In base 2, what is -10000001 - -110100010?
100100001
In base 10, what is -201987 - 9?
-201996
In base 10, what is -4 - -8985?
8981
In base 3, what is 10011 + -1201002?
-1120221
In base 12, what is -2 + -4097?
-4099
In base 11, what is -1 + -49549?
-4954a
In base 14, what is -3 + 120a0b?
120a08
In base 8, what is -172 - -5631?
5437
In base 12, what is -2b6 - 39?
-333
In base 2, what is 100 + 111010000010?
111010000110
In base 12, what is -a5ba - -2?
-a5b8
In base 14, what is 718b + -1a?
7171
In base 2, what is 1010011 + 1011010?
10101101
In base 4, what is 3 + 203121331?
203122000
In base 2, what is 101010000 - -10010001?
111100001
In base 4, what is 11032201 + 1220?
11100021
In base 10, what is -43 - -586?
543
In base 2, what is -10101 - 1110001001?
-1110011110
In base 5, what is -3 - -1411311?
1411303
In base 11, what is -2 - 3121?
-3123
In base 13, what is 3 - 154c9?
-154c6
In base 4, what is 0 + 2123120?
2123120
In base 5, what is -402313 + -41?
-402404
In base 8, what is 50420 - 5?
50413
In base 16, what is -94 - -c3?
2f
In base 5, what is -2 - -20340?
20333
In base 10, what is -41 - 663?
-704
In | {
"pile_set_name": "DM Mathematics"
} |
0575
What is 3/10 of a litre in millilitres?
300
Convert 0.3235916 tonnes to milligrams.
323591600
How many minutes are there in twenty-seven fifths of a hour?
324
What is 9/10 of a centimeter in micrometers?
9000
What is 1/4 of a millisecond in microseconds?
250
How many milligrams are there in 2/125 of a gram?
16
What is 26/5 of a century in years?
520
What is eleven halves of a litre in millilitres?
5500
What is three fifths of a gram in milligrams?
600
How many minutes are there in 928776.9 hours?
55726614
How many millimeters are there in eleven quarters of a meter?
2750
How many kilograms are there in seventy-one quarters of a tonne?
17750
How many tonnes are there in 61.36388ug?
0.00000000006136388
What is 986.0414 days in milliseconds?
85193976960
Convert 9060.194nm to millimeters.
0.009060194
Convert 1890.582 nanoseconds to microseconds.
1.890582
How many milligrams are there in 61.13086ng?
0.00006113086
How many months are there in 1.60891 decades?
193.0692
What is six fifths of a tonne in kilograms?
1200
How many seconds are there in 28/3 of a hour?
33600
What is 7/25 of a centimeter in micrometers?
2800
What is 46/5 of a kilometer in meters?
9200
What is eleven tenths of a litre in millilitres?
1100
How many millilitres are there in one quarter of a litre?
250
What is 37.69586ng in milligrams?
0.00003769586
What is 7.166396 centimeters in millimeters?
71.66396
What is fourty-nine quarters of a litre in millilitres?
12250
How many meters are there in 53/4 of a kilometer?
13250
What is 676.6593 micrograms in kilograms?
0.0000006766593
How many micrometers are there in 6.421853 meters?
6421853
What is 13/5 of a week in minutes?
26208
How many milliseconds are there in five eighths of a second?
625
How many milligrams are there in 0.0766351kg?
76635.1
How many nanograms are there in 583.7142g?
583714200000
How many meters are there in 11/8 of a kilometer?
1375
Convert 0.0728579 millilitres to litres.
0.0000728579
How many millilitres are there in 3/8 of a litre?
375
What is 0.5200755 grams in milligrams?
520.0755
Convert 37714.85 decades to millennia.
377.1485
What is 25/2 of a decade in months?
1500
What is 3.321397 hours in nanoseconds?
11957029200000
How many millilitres are there in 1/20 of a litre?
50
How many centimeters are there in thirty-four fifths of a meter?
680
How many millilitres are there in 3/40 of a litre?
75
What is eleven tenths of a hour in minutes?
66
Convert 27.45039ms to seconds.
0.02745039
What is 3/25 of a kilogram in grams?
120
Convert 292.4257 days to milliseconds.
25265580480
How many decades are there in one twentieth of a millennium?
5
What is eighty-nine halves of a litre in millilitres?
44500
What is six fifths of a litre in millilitres?
1200
How many millilitres are there in 288400.6 litres?
288400600
Convert 6079.752 micrograms to milligrams.
6.079752
How many millilitres are there in 81.77105 litres?
81771.05
How many nanograms are there in 1/4 of a microgram?
250
How many millilitres are there in 83703.2l?
83703200
How many years are there in 6.758153 centuries?
675.8153
How many millimeters are there in 3/40 of a kilometer?
75000
What is seven thirds of a century in months?
2800
How many minutes are there in 7/2 of a hour?
210
What is 4.61166 micrograms in nanograms?
4611.66
What is five sixths of a year in months?
10
Convert 56.319us to minutes.
0.00000093865
What is 98937.37ms in microseconds?
98937370
Convert 376.936 micrometers to nanometers.
376936
How many millilitres are there in 3/8 of a litre?
375
Convert 55985.08 centuries to months.
67182096
What is 1/15 of a minute in milliseconds?
4000
How many centimeters are there in 1/5 of a meter?
20
How many litres are there in 5.828733ml?
0.005828733
How many minutes are there in twenty-seven halves of a day?
19440
What is eleven halves of a milligram in micrograms?
5500
Convert 0.7937152 kilometers to millimeters.
793715.2
What is 48.01905nm in millimeters?
0.00004801905
How many months are there in 27/5 of a millennium?
64800
How many litres are there in 36.69026ml?
0.03669026
Convert 211855.89 microseconds to minutes.
0.0035309315
How many millilitres are there in seventeen halves of a litre?
8500
What is 3/32 of a milligram in nanograms?
93750
How many years are there in 7.565329 centuries?
756.5329
How many millimeters are there in 7/4 of a meter?
1750
What is 1/5 of a meter in millimeters?
200
What is 481440.75 days in weeks?
68777.25
How many micrograms are there in 79483.58 nanograms?
79.48358
How many nanometers are there in 17/4 of a micrometer?
4250
How many nanograms are there in 83.7575mg?
83757500
How many kilograms are there in five quarters of a tonne?
1250
How many minutes are there in fifty-one quarters of a hour?
765
How many litres are there in 81083.15ml?
81.08315
What is 99.66687 nanograms in milligrams?
0.00009966687
What is eleven halves of a century in decades?
55
What is 37/2 of a litre in millilitres?
18500
What is fourty-four fifths of a litre in millilitres?
8800
What is three tenths of a litre in millilitres?
300
What is twenty-seven fifths of a litre in millilitres?
5400
How many nanometers are there in 1/10 of a millimeter?
100000
What is 177068.7 centuries in decades?
1770687
Convert 471168.6 weeks to milliseconds.
284962769280000
What is 0.9076307 micrograms in milligrams?
0.0009076307
What is twenty-one halves of a gram in milligrams?
10500
How many nanometers are there in 5.987588 kilometers?
5987588000000
What is 334.49634ns in hours?
0.00000000009291565
Convert 937.1425 years to months.
11245.71
What is 5/4 of a millimeter in micrometers?
1250
What is 51/5 of a litre in millilitres?
10200
What is 68821.19 nanoseconds in seconds?
0.00006882119
How many meters are there in 3/50 of a kilometer?
60
How many meters are there in 17.69809nm?
0.00000001769809
What is 3/25 of a microgram in nanograms?
120
How many millilitres are there in 75.51286l?
75512.86
How many nanograms are there in 0.584476kg?
584476000000
How many months are there in 3/40 of a decade?
9
How many millimeters are there in 365371.3 micrometers?
365.3713
What is 0.8891528um in meters?
0.0000008891528
How many litres are there in 0.1866212ml?
0.0001866212
How many meters are there in 406.7414um?
0.0004067414
What is 854.7492 decades in centuries?
85.47492
Convert 611.305569ms to weeks.
0.0000010107565625
Convert 32099.3 micrometers to meters.
0.0320993
What is 3/5 of a millimeter in micrometers?
600
How many meters are there in 82.46771 nanometers?
0.00000008246771
What is 3/50 of a centimeter in micrometers?
600
How many millilitres are there in 11/4 of a litre?
2750
How many micrometers are there in 88.03029m?
88030290
What is 8.858236 millilitres in litres?
0.008858236
What is 17/4 of a century in months?
5100
What is 52/5 of a litre in millilitres?
10400
How many weeks are there in 2.5368 hours?
0.0151
Convert 0.4937342mg to grams.
0.0004937342
How many nanograms are there in 51/5 of a microgram?
10200
What is twenty-one eighths of a millennium in years?
2625
What is 794500.8 millennia in centuries?
7945008
How many seconds are there in seven eighteenths of a day?
33600
What is 1/4 of a day in hours?
6
How many microseconds are there in 552.7329s?
552732900
How many grams are there in 13/5 of a kilogram?
2600
How many kilograms are there in 5.302693mg?
0.000005302693
How many grams are there in 3/8 of a kilogram?
375
What is 3/40 of a tonne in grams?
75000
Convert 0.079184 litres to millilitres.
79.184
What is 61.1442972s in weeks?
0.000101098375
What is 2056.36779 nanoseconds in days?
0.000000000023800553125
What is 3.947561 years in millennia?
0.003947561
How many months are there in 0.8622067 years?
10.3464804
What is three eighths of a kilometer in centimeters?
37500
What is 43.8133ug in kilograms?
0.0000000438133
What is 19/9 of a day in minutes?
3040
What is 3/8 of a week in minutes?
3780
What is 0.5612717 centuries in years?
56.12717
What is 17/2 of a litre in millilitres?
8500
How many millilitres are there in 6/25 of a litre?
240
Convert 514.7384cm to kilometers.
0.005147384
How many millilitres are there in three eighths of a litre?
375
How many nanometers are there in eighteen fifths of a micrometer?
3600
What is twenty-one fif | {
"pile_set_name": "DM Mathematics"
} |
0
What comes next: -2197678, -4395379, -6593080, -8790781?
-10988482
What is the next term in -3766, -4979, -8318, -14845, -25622, -41711, -64174, -94073?
-132470
What is next in -2291, -4103, -6089, -8333, -10919, -13931, -17453, -21569?
-26363
What is next in 497707, 995357, 1492997, 1990627, 2488247, 2985857?
3483457
What comes next: 5163, 4818, 4241, 3438, 2415?
1178
What is the next term in 679482, 1358948, 2038412, 2717874?
3397334
What is next in -651, -1872, -3931, -6828, -10563, -15136?
-20547
What comes next: 8401538, 8401539, 8401540?
8401541
What is the next term in 82190, 82115, 82040, 81965, 81890?
81815
What is the next term in 223, 815, 901, -257, -3397, -9257?
-18575
What is the next term in 5329, 10742, 16253, 21862, 27569?
33374
What is the next term in -12413032, -49652183, -111717436, -198608791?
-310326248
What is next in 7173, 29083, 65739, 117141, 183289, 264183?
359823
What comes next: -31930, -31662, -31250, -30700, -30018, -29210, -28282?
-27240
What is next in 264877018, 264877020, 264877024, 264877030, 264877038, 264877048, 264877060?
264877074
What is the next term in 72387, 288906, 649777, 1155000, 1804575, 2598502, 3536781?
4619412
What is next in -1677, -1473, -909, 195, 2019, 4743, 8547?
13611
What is the next term in -16311725, -16311724, -16311723, -16311722?
-16311721
What is the next term in -79257, -79347, -79601, -80103, -80937?
-82187
What is next in -18066548, -36133090, -54199632, -72266174, -90332716, -108399258?
-126465800
What is the next term in 4598, 18651, 42092, 74927, 117162?
168803
What is the next term in 7323, 7638, 7963, 8304, 8667, 9058, 9483, 9948?
10459
What is the next term in -558026, -1116072, -1674118?
-2232164
What is the next term in 127842, 127805, 127744, 127653, 127526, 127357, 127140, 126869?
126538
What is the next term in -173658, -173443, -173092, -172611, -172006, -171283, -170448, -169507?
-168466
What is the next term in -6826, -27222, -61218, -108814, -170010, -244806?
-333202
What comes next: 915036, 915540, 916032, 916506, 916956, 917376, 917760?
918102
What is the next term in -2733546, -2733551, -2733560, -2733573, -2733590, -2733611, -2733636?
-2733665
What is next in -17887, -41362, -64837, -88312, -111787?
-135262
What is the next term in 6335, 12788, 19291, 25850, 32471, 39160?
45923
What is the next term in -3329, -5201, -8503, -13949, -22253, -34129, -50291?
-71453
What comes next: 5382, 10871, 16508, 22341, 28418?
34787
What is next in 84611459, 169222935, 253834409, 338445881, 423057351, 507668819?
592280285
What is next in -159849, -639258, -1438275, -2556900, -3995133?
-5752974
What comes next: -28108, -112380, -252808, -449368, -702036, -1010788, -1375600?
-1796448
What is the next term in -116649, -233199, -349743, -466281, -582813, -699339, -815859?
-932373
What comes next: -3939, -2166, -393?
1380
What comes next: 41, -324, -713, -1138, -1611, -2144?
-2749
What comes next: 8632, 69107, 169900, 311011, 492440?
714187
What is the next term in 5960, 12109, 18248, 24371, 30472, 36545?
42584
What comes next: -4534, -4545, -4556, -4567, -4578, -4589?
-4600
What comes next: 22023, 44309, 66853, 89655, 112715, 136033?
159609
What is next in 21450, 36724, 51996, 67266, 82534, 97800, 113064?
128326
What is next in -64167261, -64167263, -64167265?
-64167267
What is the next term in 36866583, 36866578, 36866571, 36866562, 36866551, 36866538?
36866523
What is next in -82665, -165312, -247923, -330480, -412965?
-495360
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2500484
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-164635
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-25315103
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1469
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14613
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-3541
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-74357
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55161
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32986888
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-135043
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543302
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1471544
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1095967
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11979928
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334846750
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-209375
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3489
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-8357
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29067
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4340
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-43884
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51613
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-44547758
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-65600
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209784
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-8331328
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276442
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-7206486
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3869988
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-1745916
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33714
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-36922
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-76463
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-389442
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39999
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-338572
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-645947
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-107169
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-73670
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48747
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-98366
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-9987017
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47837256
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-36615
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-222429
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54995
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81659
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-472067
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73615
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-341325
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-113248
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-1094180652
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166275
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-699099
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-220594
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-570143
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-87640
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10699
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-52366137
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-20031
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171215
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184919
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830
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4770
What is next in -483 | {
"pile_set_name": "DM Mathematics"
} |
ative of -9*v**4/4 + 4*v**3 + 15*v**2/2 + 6*v - 10. Let i(k) = -6*d(k) - w(k). Find a, given that i(a) = 0.
-1, -1/3, 2
Let z be 10*38/(-96) + (-12)/(-3). Let i(n) be the second derivative of -n + 0 + 0*n**3 + 0*n**2 + z*n**4. Factor i(v).
v**2/2
Let f = -296 - -892/3. Let q(n) be the first derivative of 1 + 1/9*n**3 - 2/3*n**2 + f*n. Factor q(c).
(c - 2)**2/3
Let f(z) be the second derivative of 5*z**4/6 + 2*z**3/27 - 8*z**2/9 - 313*z. Factor f(t).
2*(5*t - 2)*(9*t + 4)/9
What is b in 14*b**2 - 1745*b**3 - 8*b**4 + 1741*b**3 + 4*b**5 - 6*b**2 = 0?
-1, 0, 1, 2
Let h(k) be the first derivative of k**7/2100 - k**5/100 + k**4/30 + 20*k**3/3 - 9. Let v(w) be the third derivative of h(w). Factor v(c).
2*(c - 1)**2*(c + 2)/5
Let u(f) be the third derivative of -f**5/15 + 8*f**3/3 + 5*f**2 - 2. Determine j so that u(j) = 0.
-2, 2
Let t(c) be the first derivative of c**3 - 9*c**2 - 165*c - 387. Find k, given that t(k) = 0.
-5, 11
Let g(l) be the first derivative of l**6/2880 - l**5/120 + l**4/12 - 14*l**3/3 + 7. Let a(x) be the third derivative of g(x). Let a(s) = 0. What is s?
4
Suppose -4 + 2*x + 7*x**3 - 2*x**3 - x**3 + x**2 - x**2 + 10*x**2 = 0. What is x?
-2, -1, 1/2
Let n(j) = -j**3 - 3*j**2 - 4*j + 1. Let o be n(-4). Let k be 4 + 1 + (-159)/o. Factor 0 + 0*p**2 + 0*p + 2/11*p**3 - k*p**4.
-2*p**3*(p - 1)/11
Let t(s) be the first derivative of s**6/270 + s**5/45 + 2*s**3/3 + 6. Let w(n) be the third derivative of t(n). Let w(v) = 0. Calculate v.
-2, 0
Factor -7085 + 67426 + 3*t**2 + 62084 + 1086*t - 24142.
3*(t + 181)**2
Solve 106/5*c + 76/5*c**2 + 8/5 + 5/2*c**3 = 0.
-4, -2, -2/25
Let p(i) be the second derivative of i**7/56 + i**6/10 + 9*i**5/80 + 2*i + 3. Factor p(a).
3*a**3*(a + 1)*(a + 3)/4
Suppose q = -129 + 131. Factor -18*w**4 + 0*w + 5*w**q + w**2 + 16*w**4 + 4*w.
-2*w*(w - 2)*(w + 1)**2
Let m(f) be the first derivative of 2*f**5/45 + 4*f**4/9 + 97. Suppose m(a) = 0. What is a?
-8, 0
Let c = -1055 - -1059. Let -1/2*y**2 - 3/2*y**3 + 1 + 3/2*y - 1/2*y**c = 0. Calculate y.
-2, -1, 1
Let a(m) be the second derivative of -1/24*m**3 + 0 + 0*m**2 + 0*m**6 + 0*m**4 - 1/168*m**7 + 1/40*m**5 - 3*m. Factor a(d).
-d*(d - 1)**2*(d + 1)**2/4
Let c(j) be the first derivative of -2*j**5/35 + 47*j**4/14 - 510*j**3/7 + 675*j**2 - 13500*j/7 + 638. Factor c(q).
-2*(q - 15)**3*(q - 2)/7
Let k be (-187)/(-22) - 1/(-2). Suppose 13*o - k*o - 212 = 0. Factor 65*z + 3*z**4 - 3*z**3 - o*z - 2*z**2 - 10*z**2.
3*z*(z - 2)*(z - 1)*(z + 2)
Suppose 2*k - 7*k + 60 = -r, -40 = -5*k + 5*r. Let y(o) = -o**3 + 13*o**2 + 2*o - 5. Let i be y(k). Factor -36*w**2 - 12 + i*w**2 + 8*w + 19*w**2.
4*(w - 1)*(w + 3)
Let t(k) = -k**4 - k**2 + k + 1. Let o(q) = 21*q**5 + 100*q**4 + 159*q**3 + 94*q**2 - q - 13. Let a(n) = o(n) + t(n). Factor a(y).
3*(y + 1)**3*(y + 2)*(7*y - 2)
Let t(l) be the second derivative of 1/4*l**5 - 10/3*l**3 - 2 + 1/6*l**6 + 20*l**2 - 5/2*l**4 + 5*l. Factor t(z).
5*(z - 2)*(z - 1)*(z + 2)**2
Let v(x) be the second derivative of -x**4/24 + 5*x**3/6 - 25*x**2/4 + 3*x + 2. Factor v(w).
-(w - 5)**2/2
Let k(j) be the third derivative of j**11/1663200 + j**10/378000 + j**9/302400 - j**5/3 - 12*j**2. Let y(b) be the third derivative of k(b). Factor y(n).
n**3*(n + 1)**2/5
Let z(r) = -3*r**2 - 14*r + 43. Let s be z(2). Factor 4/11*y**2 - 2/11*y + 0 + 0*y**s + 2/11*y**5 - 4/11*y**4.
2*y*(y - 1)**3*(y + 1)/11
Let b = 8 - 6. Suppose 1 + 398*m + m**4 - b*m**2 - 398*m = 0. What is m?
-1, 1
Let s(h) be the second derivative of -3/2*h**2 + 3/40*h**5 - 1/2*h**4 + 5/4*h**3 + 22*h + 0. Find o such that s(o) = 0.
1, 2
Let c(n) be the third derivative of n**8/588 - 2*n**7/735 - n**6/42 - n**5/35 - 4*n**2 - 20*n. Let c(d) = 0. What is d?
-1, 0, 3
Factor 1/6*d**5 + 104/3*d + 100/3*d**2 + 40/3 + 44/3*d**3 + 17/6*d**4.
(d + 1)*(d + 2)**3*(d + 10)/6
Let h(b) = b**3 - 7*b**2 + 9*b - 8. Let q be h(6). Let k be (-4 - 36/(-8))*q. Factor -v**5 + k*v**4 - 4*v**4 + 0*v**4 + v**4.
-v**4*(v - 2)
Let l be (-4 + (-464)/(-112))*14. Determine r, given that 5/4*r**5 + 0*r + 5/4*r**3 + 0*r**l - 5/2*r**4 + 0 = 0.
0, 1
Let f(b) be the third derivative of 5*b**2 + 0*b**4 + 0 + 0*b**3 - 1/672*b**8 + 0*b**7 - 1/60*b**5 + 0*b + 1/80*b**6. Suppose f(c) = 0. Calculate c.
-2, 0, 1
Let j(s) = -s**3 + s + 1. Let x(r) = -7*r**3 + 65*r**2 - 238*r + 182. Let h = -74 - -73. Let k(q) = h*x(q) + 2*j(q). Find c, given that k(c) = 0.
1, 6
Solve 2*m + 52*m**4 - m**2 - 58*m**4 - 6*m + 7*m**2 + 4*m**3 = 0 for m.
-1, 0, 2/3, 1
Suppose 64*x = 1750 - 1622. Factor 2/3*y**3 + 2/3*y**x - 8/3 - 8/3*y.
2*(y - 2)*(y + 1)*(y + 2)/3
Let z be (2/10)/((-19)/(76095/(-1242))). Let a = z - -1/46. Suppose a*i**2 + 4/3*i - 2 = 0. Calculate i.
-3, 1
Let x(j) be the second derivative of 1/42*j**7 + 1/15*j**6 - 3/2*j**4 - 3/2*j**3 + 18 - j + 0*j**2 - 2/5*j**5. Let x(o) = 0. What is o?
-3, -1, 0, 3
Suppose -4*d = 12, h - 4*d - 19 = -5. Factor 4*u**3 + 3 + 14*u**2 - 3*u**h - 7*u**2 + 9 - 20*u.
4*(u - 1)**2*(u + 3)
Suppose 3*i = -4*a + 88, -5*a + 0*i = -2*i - 87. Suppose l - a = -16. Factor -3*w**5 - 3*w**l + 0*w**5 + 6*w**2 - 6*w**4 + 6*w**5.
3*w**2*(w - 2)*(w - 1)*(w + 1)
Find p such that -2/5*p**5 + 8/5*p + 6/5*p**3 - 16/5*p**2 + 0 + 4/5*p**4 = 0.
-2, 0, 1, 2
Let s be (-3)/(5/((-22775)/105)). Let t = s + -130. Factor -4/7*m + t*m**2 + 3/7.
(m - 3)*(m - 1)/7
Let k be ((-9)/21 + (-264)/(-77))/((-114)/(-100)). Factor -k*y**3 + 18/19*y + 2/19 + 30/19*y**2.
-2*(y - 1)*(5*y + 1)**2/19
Let g(v) be the third derivative of 32*v**7/105 - 4*v**6/3 - 29*v**5/5 - 35*v**4/6 - 8*v**3/3 + 2*v**2 - 10*v. Factor g(j).
4*(j - 4)*(j + 1)*(4*j + 1)**2
Let m(z) = 87*z**3 - 120*z**2 - 62*z - 2. Let d(p) = -88*p**3 + 119*p**2 + 61*p + 1. Let s be 1*2 + (-5 - -10). Let v(r) = s*m(r) + 6*d(r). Factor v(y).
(y - 2)*(9*y + 2)**2
Factor o**2 - 6*o**2 - 15*o**4 - 20*o**3 + 3*o - 3*o.
-5*o**2*(o + 1)*(3*o + 1)
Suppose -2*t - 5 = -4*u + 3, -20 = -3*u + 5*t. Suppose u = 4*z + 7 - 27. Find f such that -48/5*f**4 - 12/5*f**3 + 42/5*f**2 + 33/5*f + 6/5 - 21/5*f**z = 0.
-1, -2/7, 1
Let b(h) be the third derivative of 2/105*h**7 + 1/84*h**8 - h**2 + 0*h + 1/6*h**4 + 0 - 2/15*h**5 + 2/3*h**3 - 1/15*h**6. Factor b(l).
4*(l - 1)**2*(l + 1)**3
Let q(w) be the third derivative of w**5/15 - 124*w**4/3 + 30752*w**3/3 - 60*w**2. Determine k so that q(k) = 0.
124
Let s(o) be the first derivative of 4*o**3/3 - 27*o**2/2 - 7*o + 66. Factor s(w).
(w - 7)*(4*w + 1)
Let i be 77/2 - 3/(-6). Let s = -39 + i. Factor -1/2*w**2 + 1/4*w**3 + 1/4*w + s.
w*(w - 1)**2/4
Suppose 0*o - 55/2*o**2 + 5/2*o**4 + 0 - 25*o**3 = 0. Calculate o.
-1, 0, 11
Let o be 3/6*1 - -1 - 1835/(-734). Let 6/5*c - 2/5*c**2 + o = 0. Calculate c.
-2, 5
Let y(d) be the third derivative of d**6/1080 - d**5/270 - d**4/54 + 4*d**3/27 + 73*d**2. Factor y(b).
(b - 2)**2*(b + 2)/9
Let q(w) be the third derivative of 25*w**8/504 + 155*w**7/63 - 67*w**6/15 - 62*w**5/45 + 32*w**4/9 - 4*w**2 + 16. What is y in q(y) = 0?
-32, -2/5, 0, 2/5, 1
Solve 2/7*z**2 - 2/7*z**4 + 0 + 4/7*z - 4/7*z**3 = 0 for z.
-2, -1, 0, 1
Let u(f) be the third derivative of 1/12*f**4 + 0 + 4/3*f**3 - 1/6*f**5 - 5*f**2 + 0*f. Find k, given that u(k) = 0.
-4/5, 1
Let a(s) = s**3 + 12*s**2 + s + 8. Let r be a(-12). Let p be (28/(-42))/(r/(-6)) - -3. Determine b so that 8/7 - 18/7*b**p - 24/7*b + 2*b**3 = 0.
-1, 2/7, 2
Let r(p) = -p**3 - 17*p**2 + 16*p - 24. Let w be r(-18). Suppose 0 = -17*u - w*u + 58. Let 3/2*y**u + 6 + 6*y = 0. Calculate y.
-2
Let v be (-15)/3*(-8)/20. Let n(d) be the first derivative of -3/7*d**v - 3 + 10/21*d**3 - 4/7*d. Solve n(k) = 0 for k.
-2/5, 1
Suppose 4*p - 24 = 0, 21*v = 19*v + 2*p - 6. Factor 2/3*w - 1/2*w**v + 1/6*w**4 + 0*w**2 + 0.
w*(w - 2)**2*(w + 1)/6
Let u(q) be the third derivative of 0*q**3 - 1/225*q**6 - 1/1575*q**7 + 0*q - 1/90*q**5 - 1/90*q**4 - 20*q**2 + 0. Suppose u(l) = 0. What is l?
-2, -1, 0
Let p(b) be the second derivative of -b**8/448 + b**7/70 - b**6/32 + b**5/40 + 19*b**2/2 - 16*b. Let u(d) be the first derivative of p(d). Factor u(n).
-3*n**2*(n - 2)*(n - 1)**2/4
Factor 1/2*v**2 + 57*v + 3249/2.
(v + 57)**2/2
Let u(v) be the first derivative of v**5/150 + v**4/30 - v**3/5 - 3*v**2 - 22. Let r(g) be the second derivative of u(g). Determine z so that r(z) = 0.
-3, 1
Let m = 152 - 149. Let s = 695/9 - 77. Det | {
"pile_set_name": "DM Mathematics"
} |
d.
-16
Find l such that 2*l**5/9 - 16*l**4/3 + 58*l**3/3 + 1400*l**2/9 + 392*l/3 = 0.
-3, -1, 0, 14
What is q in 6*q**5/19 - 92*q**4/19 + 116*q**3/19 + 792*q**2/19 + 838*q/19 + 260/19 = 0?
-1, -2/3, 5, 13
Factor -s**3 - 4*s**2 + 191*s + 390.
-(s - 13)*(s + 2)*(s + 15)
Determine i so that i**5/4 + 19*i**4 + 221*i**3/4 + 73*i**2/2 = 0.
-73, -2, -1, 0
Factor -3*h**3/7 + 3*h**2 + 30*h/7 - 48/7.
-3*(h - 8)*(h - 1)*(h + 2)/7
Factor 2*d**4 + 22*d**3 - 272*d**2 + 608*d.
2*d*(d - 4)**2*(d + 19)
Factor 4*m**3 + 1608*m**2 + 215472*m + 9624416.
4*(m + 134)**3
Let -x**4 - 26*x**3/7 + 155*x**2/7 - 6*x = 0. Calculate x.
-7, 0, 2/7, 3
Factor 3*k**4 - 168*k**3 + 2511*k**2 - 4374*k.
3*k*(k - 27)**2*(k - 2)
Find t such that 10*t**2/11 + 46*t/11 + 36/11 = 0.
-18/5, -1
Factor -2*p**2/7 - 502*p/7 + 1012/7.
-2*(p - 2)*(p + 253)/7
Solve 5*t**4 - 10*t**3 - 35*t**2 - 20*t = 0.
-1, 0, 4
Solve 2*h**4 - 8*h**3/3 + 2*h**2/3 = 0 for h.
0, 1/3, 1
Solve -t**2 + 301*t + 302 = 0 for t.
-1, 302
Solve g**5/4 + g**4/4 - 5*g**3/4 + 3*g**2/4 = 0 for g.
-3, 0, 1
Find r such that r**3 - 21*r**2 + 72*r - 68 = 0.
2, 17
Solve 2*x**2/13 - 126*x/13 - 396/13 = 0 for x.
-3, 66
Suppose -y**4/3 - 13*y**3/6 - 2*y**2/3 + 13*y/6 + 1 = 0. Calculate y.
-6, -1, -1/2, 1
Factor 2*j**3 - 100*j**2 - 1342*j.
2*j*(j - 61)*(j + 11)
Factor -h**4/4 - 11*h**3/2 + 3*h**2/4 + 360*h - 675.
-(h - 6)*(h - 2)*(h + 15)**2/4
Factor 6*c**3/7 + 104*c**2/7 - 214*c/21 + 12/7.
2*(c + 18)*(3*c - 1)**2/21
Solve 2*d**3 + 10*d**2 + 14*d + 6 = 0 for d.
-3, -1
Suppose -5*s**3/4 - 265*s**2/2 - 525*s/4 = 0. Calculate s.
-105, -1, 0
What is p in p**3/4 - 3*p**2/4 - 13*p/4 + 15/4 = 0?
-3, 1, 5
Solve -32*i**5 + 304*i**4 - 498*i**3 - 478*i**2 + 314*i - 42 = 0.
-1, 1/4, 3, 7
Suppose -4*b**4 - 128*b**3 + 136*b**2 + 128*b - 132 = 0. What is b?
-33, -1, 1
Let -2*r**2 - 24*r - 22 = 0. What is r?
-11, -1
Factor p**3 + 15*p**2 - 52*p + 36.
(p - 2)*(p - 1)*(p + 18)
Factor l**2 + 368*l + 33856.
(l + 184)**2
Factor -4*p**2 - 336*p - 7056.
-4*(p + 42)**2
What is b in -14*b**5/5 + 32*b**4/5 + 174*b**3/5 + 88*b**2/5 - 8*b = 0?
-2, -1, 0, 2/7, 5
Find u such that -35*u**3 + 1060*u**2 - 2260*u + 560 = 0.
2/7, 2, 28
Let 2*z**2/5 + 22*z/5 + 12 = 0. What is z?
-6, -5
Suppose -b**5/5 + 7*b**4/5 + 39*b**3/5 + 53*b**2/5 + 22*b/5 = 0. What is b?
-2, -1, 0, 11
Let -7*p**4/4 + 3*p**3 - 3*p**2/4 - p/2 = 0. Calculate p.
-2/7, 0, 1
What is s in -20*s**5 + 16*s**4 + 4*s**3 = 0?
-1/5, 0, 1
What is k in k**5/5 + 4*k**4 + 69*k**3/5 + 82*k**2/5 + 32*k/5 = 0?
-16, -2, -1, 0
Factor -3*w**3 - 9*w**2 + 30*w.
-3*w*(w - 2)*(w + 5)
Factor 4*y**5/5 - 8*y**4 + 128*y**3/5 - 128*y**2/5.
4*y**2*(y - 4)**2*(y - 2)/5
Let -16*c**5 - 40*c**4 + 271*c**3 - 365*c**2 + 150*c = 0. Calculate c.
-6, 0, 1, 5/4
Solve d**2/6 + 83*d/6 = 0 for d.
-83, 0
Factor 3*r**3 - 1089*r**2 + 96048*r + 507840.
3*(r - 184)**2*(r + 5)
What is f in 4*f**2/5 + 214*f/5 + 42 = 0?
-105/2, -1
What is m in 4*m**2/7 - 16952*m/7 + 16948/7 = 0?
1, 4237
Factor 5*m**2/4 - 78*m + 31.
(m - 62)*(5*m - 2)/4
Suppose -2*g**5/7 + 34*g**4/7 + 122*g**3/7 - 34*g**2/7 - 120*g/7 = 0. Calculate g.
-3, -1, 0, 1, 20
Solve 9*h**4/5 + 6*h**3 - 24*h**2/5 = 0 for h.
-4, 0, 2/3
Find m such that -8*m**2 - 44*m/3 + 380/3 = 0.
-5, 19/6
Factor l**3/3 + 2*l**2 - 19*l/3 - 8.
(l - 3)*(l + 1)*(l + 8)/3
Find o such that -4*o**4 - 20*o**3 - 20*o**2 + 20*o + 24 = 0.
-3, -2, -1, 1
Solve 3*u**5 - 651*u**4 + 46650*u**3 - 1071786*u**2 - 2286141*u - 1167051 = 0 for u.
-1, 73
Factor 2*j**2 + 5084*j + 3230882.
2*(j + 1271)**2
Let -5*d**3 - 835*d**2 - 35275*d - 34445 = 0. Calculate d.
-83, -1
Let 3*c**5 + 942*c**4 + 74883*c**3 + 146952*c**2 + 73008*c = 0. Calculate c.
-156, -1, 0
What is y in -6*y**4/5 - 33*y**3/5 + 87*y**2/5 + 177*y/5 + 63/5 = 0?
-7, -1, -1/2, 3
Factor 2*b**2/3 - 12*b - 42.
2*(b - 21)*(b + 3)/3
Solve 4*n**5 + 28*n**4 + 20*n**3 - 28*n**2 - 24*n = 0.
-6, -1, 0, 1
Factor -x**3 + 104*x**2 - 2704*x.
-x*(x - 52)**2
Factor -5*x**4 - 95*x**3 + 315*x**2 - 325*x + 110.
-5*(x - 1)**3*(x + 22)
Suppose -r**3 + 4*r**2 + 11*r + 6 = 0. What is r?
-1, 6
What is u in -u**5/7 + 2*u**4/7 + 3*u**3/7 - 4*u**2/7 - 4*u/7 = 0?
-1, 0, 2
Let 4*q**2 - 372*q - 760 = 0. Calculate q.
-2, 95
Suppose -5*u**4 + 680*u**3 - 30360*u**2 + 423200*u + 973360 = 0. What is u?
-2, 46
Factor 5*i**2 + 310*i + 4805.
5*(i + 31)**2
Let 2*k**3/5 + 138*k**2 + 59856*k/5 + 59168/5 = 0. What is k?
-172, -1
What is l in -l**2 + 335*l - 334 = 0?
1, 334
Suppose 2*t**5/3 - 146*t**4/3 - 150*t**3 - 454*t**2/3 - 152*t/3 = 0. Calculate t.
-1, 0, 76
Solve 34*q**3 - 2956*q**2 - 174*q = 0.
-1/17, 0, 87
What is s in -2*s**4/7 - 46*s**3/7 + 48*s**2/7 = 0?
-24, 0, 1
Factor 2*d**2 + 716*d + 64082.
2*(d + 179)**2
Let 3*p**4 - 339*p**3 + 333*p**2 + 339*p - 336 = 0. Calculate p.
-1, 1, 112
Find i such that -2*i**5/19 - 254*i**4/19 - 7936*i**3/19 + 8192*i**2/19 = 0.
-64, 0, 1
Solve 72*d**3/13 - 146*d**2/13 + 8/13 = 0 for d.
-2/9, 1/4, 2
Factor -2*k**2 - 1680*k + 1682.
-2*(k - 1)*(k + 841)
Factor 40*t**3 + 5*t**2 - 1440*t - 180.
5*(t - 6)*(t + 6)*(8*t + 1)
Let -y**3/4 + 3*y**2/4 = 0. Calculate y.
0, 3
Let 2*n**2/7 - 38*n/7 = 0. What is n?
0, 19
Suppose -28*o**3 + 160*o**2 - 204*o - 72 = 0. Calculate o.
-2/7, 3
Determine c so that c**4 + 134*c**3 + 4621*c**2 + 8844*c + 4356 = 0.
-66, -1
Determine d so that 2*d**2 + 10*d - 72 = 0.
-9, 4
Factor 4*o**3/3 + 440*o**2/3 + 288*o.
4*o*(o + 2)*(o + 108)/3
Solve -54*y**3 - 396*y**2 - 1767*y/2 - 1083/2 = 0 for y.
-19/6, -1
Let -2*p**5/11 - 2802*p**4/11 - 1472800*p**3/11 - 344470000*p**2/11 - 30355500000*p/11 - 30012500000/11 = 0. What is p?
-350, -1
Factor -l**2/3 + 1/3.
-(l - 1)*(l + 1)/3
Let 3*c**4 + 106*c**3/3 + 25*c**2 - 22*c/3 = 0. What is c?
-11, -1, 0, 2/9
Determine h so that 5*h**2 + 15510*h = 0.
-3102, 0
Let s**2/6 - 5*s/6 = 0. Calculate s.
0, 5
What is i in 2*i**5 - 8*i**4 - 14*i**3 + 20*i**2 = 0?
-2, 0, 1, 5
Solve -5*a**3/3 + 9*a**2 - 10*a/3 = 0.
0, 2/5, 5
Suppose -2*g**3/13 - 16*g**2/13 + 150*g/13 - 252/13 = 0. Calculate g.
-14, 3
Factor -10*p**3 - 3936*p**2 - 386514*p + 155236.
-2*(p + 197)**2*(5*p - 2)
Find a such that -4*a**3 + 40*a**2 + 1232*a - 14112 = 0.
-18, 14
Factor -d**2/2 - 345*d/2 - 172.
-(d + 1)*(d + 344)/2
Factor p**4/5 - 24*p**3/5 + 114*p**2/5 + 304*p/5 + 33.
(p - 15)*(p - 11)*(p + 1)**2/5
Factor 3*q**3 + 81*q**2 + 504*q + 912.
3*(q + 4)**2*(q + 19)
Factor r**4/3 + r**3/3 - 4*r**2/3 - 4*r/3.
r*(r - 2)*(r + 1)*(r + 2)/3
Let 250*k**4 + 61950*k**3 + 110970*k**2 + 66474*k + 13284 = 0. Calculate k.
-246, -3/5
Factor t**2 + 9*t + 8.
(t + 1)*(t + 8)
Let 5*q**3 - 45*q = 0. What is q?
-3, 0, 3
What is w in 15*w**2 - 3485*w + 1160 = 0?
1/3, 232
What is i in -4*i**5 + 113*i**4 - 19*i**3 - 253*i**2 + 23*i + 140 = 0?
-1, 1, 5/4, 28
Factor j**4 + 6*j**3 + 9*j**2 + 4*j.
j*(j + 1)**2*(j + 4)
Factor -3*t**5/4 + 39*t**4/4 + 87*t**3/4 + 45*t**2/4.
-3*t**2*(t - 15)*(t + 1)**2/4
Solve 2*l**5 + 356*l**4 - 718*l**3 + 360*l**2 = 0.
-180, 0, 1
Let -22*m**4 - 158*m**3 - 248*m**2 - 40*m = 0. What is m?
-5, -2, -2/11, 0
Find k such that -5*k**5 - 48*k**4 - 142*k**3 - 84*k**2 + 171*k + 108 = 0.
-4, -3, -3/5, 1
Factor 2*b**2 + 210*b + 1552.
2*(b + 8)*(b + 97)
Factor -o**4 + 90*o**3 - 2196*o**2 + 7654*o - 5547.
-(o - 43)**2*(o - 3)*(o - 1)
Solve -15*j**5 - 100*j**4 + 80*j**3 + 330*j**2 + 95*j - 70 = 0.
-7, -1, 1/3, 2
Factor 2*m**2 + 34*m.
2*m*(m + 17)
Find h, given that -3*h**3/5 - 6*h**2/5 + 63*h/5 - 54/5 = 0.
-6, 1, 3
Factor -x**2/6 + 7*x/3 - 13/6.
-(x - 13)*(x - 1)/6
Find b such that -12*b**4 - 1256*b**3 + 1692*b**2 - 424*b = 0.
-106, 0, 1/3, 1
Determine z so that 2*z**4/5 + 434*z**3/5 + 506*z**2 - 434*z/5 - 2532/5 = 0.
-211, -6, -1, 1
Factor -255*m**2/2 - 3*m/2.
-3*m*(85*m + 1)/2
Suppose 4*j**4 - 72*j**2 - 128*j - 60 = 0. Calculate j.
-3, -1, 5
Solve 10*i**4/21 + 136*i**3/21 - 62*i**2/21 - 4*i = 0 for i.
-14, -3/5, 0, 1
Factor 3*r**3 + 1083*r**2 - 1086*r.
3*r*(r - 1)*(r + 362)
Solve 3*u**5/4 - 87*u**4/4 + 81*u**3/2 + 3*u**2/2 - 165*u/4 + 81/4 = 0 for u.
-1, 1, 27
Factor 3*s**2/2 + 16392*s + 44782944.
3*(s + 5464)**2/2
What is l in -5*l**4/2 - 1595*l**3/2 - 9330*l**2 - 37000*l - 49120 = 0?
-307, -4
What is o in -o**2 + 155*o - 306 = 0?
2, 153
Find p such that -4*p**4 + 24*p**3 - 52*p**2 + 48*p - 16 = 0.
1, 2
Determine f, given that f**4/4 - 6*f**3 - f**2/4 + 6*f = 0.
| {
"pile_set_name": "DM Mathematics"
} |
q*p + j - 7 = -4*j, 3*p - 11 = -j for p.
4
Suppose 4*c - 3*r = -2*r - 45, -5*c - 5*r = 25. Let m = -7 - c. Solve 3*a - 22 = 4*u + a, -21 = m*u - 3*a for u.
-4
Let s(t) = -t. Let g = 6 + -8. Let p be s(g). Solve 2*h + 4 = 5*j - h, 5*j = p*h + 6 for j.
2
Let d be 68/(-306) + 1 + 218/9. Solve d = -5*t - 5*j, 3*j + 3 + 14 = -5*t for t.
-1
Let g = 6 - 11. Let p be (g - -1)*(-2)/4. Solve 2*t = -4 - 4, -u - p*t = 9 for u.
-1
Let a be -1 - (-10)/4*2. Suppose -34 = -6*f - 10. Solve -4*v + f*c = -28, -c + 21 = 5*v + a for v.
4
Let v = 7 + -2. Let t be 3/12 + 2/(-8). Solve 5*c + t*c - 28 = 3*z, -4*c = -v*z - 25 for c.
5
Let w = -1 + 5. Solve -3*y = -5*b + 16, -2*b = -0*b - w for y.
-2
Let s = 115 + -67. Suppose j + s = 4*j. Solve 4 + 4 = -2*i - 4*f, -4*i - j = -4*f for i.
-4
Let r(j) = j + 11. Let c be r(-4). Solve -2*h + 22 = 2*h - 5*u, -5*u = h + c for h.
3
Suppose 3*d = 7 + 2. Suppose 20 = r - 3*y, -5*r - d*y = -2*y - 84. Suppose -5*q + 137 = r. Solve -q = -2*p + 4*g, -p + 5*p = -4*g for p.
4
Let b be 4/(-16)*2 + 18/4. Solve 0 = 5*v - b*u - 29, v = 4*v - 5*u - 20 for v.
5
Let u(z) = -z**2 + 7*z - 1. Let b be u(6). Let w(g) = -g**3 + 4*g**2 + 6*g - 3. Let v be w(b). Solve p - v*n = -11 + 1, 4 = -4*p - 4*n for p.
-4
Let j(b) = b**3 + 5*b**2 - 5*b + 8. Let a be j(-6). Solve -5*v = -a*f + 9, 2*v + 8*f + 21 = 3*f for v.
-3
Let c(h) = 2*h**3 + h**2 - 2*h - 1. Let p be c(-1). Let t = -7 - -10. Solve t*u = 5*q + 3, -q = -p*q - 4*u - 13 for q.
-3
Suppose 4*l - 36 = 4*o, 0 = -3*l + 3*o - 6*o + 33. Solve -l = 5*d + 2*i, i = -3*i for d.
-2
Let k = -98 - -139. Solve -4*n - 5*m = -k, -m + 1 = 4*n - 20 for n.
4
Let r be ((-28)/(-8) + -3)*(1 - -5). Solve -h = 5*u + r*h - 13, 9 = 3*u + 2*h for u.
5
Let v(y) = -y**2 + 11*y - 13. Let g be v(9). Solve -3*b = -4*q + 17, -g*b - q + 12 - 2 = 0 for b.
1
Suppose 3*y + 5*m - 3*m - 18 = 0, 0 = y - 3*m + 5. Suppose 0 = -0*u - y*u + 64. Let f = u - 6. Solve -4*r - 18 = 5*g, r - 6*r = f for g.
-2
Let i be (-1)/(1*1/(-2)). Suppose 12 = -q + 4*n, 2*q + 4 = 5*n - 2*n. Suppose i*m + 3*u = 8*u - q, -4 = -2*u. Solve 9 = -5*r + 4*a, -2*r - 1 = m*a - 2 for r.
-1
Let s be ((-6)/4)/((-5)/20). Let w(v) be the first derivative of v**2/2 - 2*v - 2. Let g be w(s). Solve 0 = -2*u - g*q + 3*q - 9, 0 = -2*u + 2*q - 12 for u.
-5
Suppose 125 = 4*x + 9. Suppose 5*p = -4*o + 25, 5*o + 5 = -0*p + p. Suppose p*u + x = k, 4*k - 5*u + u = 36. Solve 0 = -4*n + 3*j + 1 - 17, 2*j - k = n for n.
-4
Let j be (-14)/63 + (-276)/(-27). Let x be (0 - 1)*-3*1. Solve 3*o = 4*b - 1 - 4, x*o + j = 5*b for o.
5
Let c be 2 - 6 - (-2)/(-1). Let f be 1/(-1)*(-7 - c). Let p be (2 + -2)/(f + 0). Solve 5*y + 2*b - b = 24, y - 3*b - 8 = p for y.
5
Let a = 29 - 27. Solve a*r + 12 = 2*s - 2, -3*s = 2*r + 4 for r.
-5
Let w be 1/(-2)*(-1 - 3). Let x = -14 + 36. Suppose 0 = -w*t + 24 + x. Solve -d + t = -4*h, -d + 25 = 4*d - 2*h for d.
3
Let h = -4 - -3. Let z be (3 - 2 - -2) + h. Solve -2*s + 2 = 5*y + 1, z*s + 4 = 0 for y.
1
Let l(v) = v + 11. Let f be l(9). Solve 2*a + 4*x = -f, 0 = -a + 4*x + x + 11 for a.
-4
Let c = -53 + 56. Solve -2*q + 0 = m - 10, -2*m = -c*q + 1 for m.
4
Suppose 4*o - 2*o = 0. Let f(m) = -13*m + 2. Let n = -7 + 4. Let r be f(n). Solve 0 = 2*c + 3*g + 7, o = 4*c - 6*g + g - r for c.
4
Let d = -4 + 6. Suppose 0 = -3*z - 1 + 19. Let h = z - 3. Solve -h*b + 13 = v, -d*b + 23 = v + 3*b for v.
-2
Suppose 1 = 2*s - 5. Suppose 0 = z - s*h - 5, 0 = -4*z + 4*h + 12. Let r be 4/14 + (-262)/(-14). Solve -2*c - z*l + 7*l = -r, -4*l - 6 = 3*c for c.
2
Let l be 3*8/(-12)*30/(-12). Let n = 14 - 7. Let a be 2/(-7) + 37/n. Solve 50 = 5*j + a*u, 5*j - l*u + 20 = 4*j for j.
5
Let f(i) = 16*i**2 + 2*i - 1. Let p(a) = -a - 3. Let z be p(-4). Let n be f(z). Solve -d + 5*o + 0*o - n = 0, -4*d - 4*o = -28 for d.
3
Let d be (-1 - 0) + (-3 - -5). Solve 5*l + 15 = 5, -l + d = m for m.
3
Suppose -5*g = -4*t - 0*t - 9, -2*g = -2*t - 2. Solve -2*d + g*d - z = 5, d - 3*z = 7 for d.
1
Let u(s) = s**3 - 6*s**2 + 7*s - 6. Let y be u(5). Suppose 0 = -2*n + 2*a + a, y*n = -a. Solve 4*z - 3*t - 2*t = -17, 4*z - t + 13 = n for z.
-3
Suppose 0*n + 4*n - 8 = 0. Solve -n*v = 4*t + 23 - 5, -2*v - 14 = 2*t for t.
-2
Let h = 5 - 0. Suppose 2 = n - 4*l, -l + 5 = 5*n - h. Solve 4*v + q + n*q = -1, -v = q for v.
-1
Suppose -5 = 5*x + 5, f + 3*x + 4 = 0. Solve f*t + 3*k = t + 8, 0 = 4*t + k - 21 for t.
5
Let n(z) = z**3 + 8*z**2 + 6*z - 7. Let i be n(-7). Solve -3*p + 6*p + 2*m - 15 = i, 20 = 4*p + 5*m for p.
5
Let x = 127 - 124. Solve 3*w + t = -2*w + 26, x*t = 3*w - 12 for w.
5
Suppose -47 = 3*p - 4*t, -t - 70 = 5*p - 6*t. Let a = -7 - p. Solve -3*d + a*x + 0*x = -13, 5*x + 20 = -5*d for d.
1
Let k be (0/(-1))/(-3 + (2 - -3)). Solve 5*r + 6*x = x + 30, k = -r - 4*x + 15 for r.
3
Suppose -2*b + 30 = 80. Let z = b - -78. Let c = z + -21. Solve x = 3*q + 15, 0 = -5*q + 2*x - c + 6 for q.
-4
Let t(x) = -x**3 - 3*x**2 + 3*x + 1. Let k be t(-4). Solve 0 = 3*z + z, 15 = -k*q + 2*z for q.
-3
Let w(j) = j**3 - 8*j**2 + 8*j - 2. Let b be w(7). Solve 3*s + 2*n = 6 + b, 0 = -5*s - 2*n + 13 for s.
1
Let r = 26 - 26. Solve 26 = 4*y - 2*g, r = -y - 5*g - 2 - 8 for y.
5
Let z be 0/2*(2 + -1). Suppose -5*s = 2*t - 11, -4*t - 2*s + 0*s + 14 = z. Solve 15 = -t*n + 4*p, 3*n + 9 + 6 = -2*p for n.
-5
Let h(s) = s. Let x be h(4). Let z(y) = -y + 5. Let a be z(x). Solve -5 = 5*g, 3*g - a = -0*n - 4*n for n.
1
Let w be (18/(-10))/((-6)/10). Solve 5*t = 0, -t = -w*z - 4*t - 6 for z.
-2
Let a = 6 + 2. Suppose 7 + a = 5*g. Suppose 2*u + 5 = g*u. Solve -3*i = b - 13, 5*b + 0*i - u*i + 35 = 0 for b.
-2
Let p(n) = -n**3 - 3*n**2 + n - 10. Let q be p(-4). Solve 2*r + 2*g = 6, g - 7 = 3*r - q*r for r.
-2
Let b(v) = -v**3 + 2*v**2 + 2. Let y be b(2). Suppose -70 = 3*l - 4*h, 12 = h + y*h. Let q be (-346)/l - 2/9. Solve 4*p = -5*t + 7, -t - 2*t + q = -5*p for p.
-2
Suppose 3*g + 10 = 5*g. Let l be 3/(-6)*-4 - -2. Solve -a + l = a - 2*b, -2*a = g*b + 10 for a.
0
Let j = 4 - -5. Let q be 1/(-2)*(4 + -4). Suppose q = -2*d + 7 - 3. Solve -6 = -2*c - d*i, 4*i + j = c + 1 for c.
4
Suppose 0*a - 3*a = -6. Suppose a*i - 4*i = 4*y + 8, -y - 2 = 3*i. Solve 0 = k + 4*h + 14, i*k = k - 2*h - 4 for k.
-2
Suppose 3*n + 2*j - 6*j = 8, 0 = 3*n - j - 11. Solve 14 = -4*u + 3*y, -u - n*y + 7*y = -1 for u.
-5
Suppose -3 = -3*n, 0 = -10*l + 6*l + 5*n + 39. Solve 3*v + 3*x - 1 - l = 0, -2*x + 20 = 5*v for v.
4
Suppose -h + 5*h - 3*g - 15 = 0, 2 = -2*g. Solve s - 10 = 2*s - 3*t, -4*t = -h*s - 15 for s.
-1
Let h be 3/2 - 7/(-2). Let p be 3 + h + (-1 - -3). Solve 0 = 2*q + p, -j + q + 9 = 0 for j.
4
Let p = -151 + 162. Solve -3*y = f + p, 3*y = -0*f - 5*f + 5 for f.
4
Let z(g) = -g**3 - 6*g**2 + 6*g - 2. Let i be z(-7). Let v = i + -5. Solve -b + 3*p + 11 = v, 3*b + 3*p = 7*p + 18 for b.
2
Let c be 26/7 + 2/7. Suppose -c*w - 3 = 4*j - 3*w, 5*j - 4*w = 12. Let k be 5 - (1 + j + -1). Solve m = -2*g - 3 + 12, -3*g + k*m = -20 for g.
5
Suppose -96 = -13*r + 34. Solve 3*o = -5*s + 1 + r, -4*o = -s + 16 for s.
4
Let j(p) = -p**3 - 5*p**2 + 5*p - 3. Let y be j(-6). Let g be (2 - (y - -1)) + 10. Solve -u + 4*x = 0, -7*x = u - 3*x - g for u.
4
Let c be 6/(-4)*8/(-3). Suppose 2*h = q - 0*q - c, 7 = q - 5*h. Solve -f - z - 1 = 0, 4*f - 2*z + 2 = -q for f.
-1
Let u = -6 + 8. Solve u*z - 5*n = 31, -2*n = -2*z - z + 19 for z.
3
Let y = -43 + 47. Solve 3*w + 7 = 2*b, 3*w = -w - y for b.
2
Suppose -4*c + 11 = 3. Suppose 4 = l + 2*l - 4*q, -3*l = q - 14. Let v = c + l. Solve 3*u + 5*x + v = 7*u, 0 = u - 3*x + 2 for u.
4
Suppose -v = 5*m + 7, 5*v - m + 5*m - 7 = 0. Suppose 3*y - 2 = 4. Solve -15 = -x - 3*l, -v*l + 12 = y*x - 6 for x.
3
Suppose 0 = 3*l - 5*l + 2. Let v be -1*(-8 - 1)*l. Solve 5*n + t = -20, -v - 6 = 4*n + t for n.
-5
Suppose 0 = 2*k + 3*b - 4, -4 = -3*k - 5*b + 2. Suppose 3*j - 4 = k. Solve 2*v - j*r + 0*r = 0, 5*r = -2*v + 14 for v.
2
Let i(j) = -3*j**2 + j - 1. Let n be i(1). Let h = 13 + n. Suppose 2*s + h = 3*s. Solve c - 5*c + 16 = -4*f, 0 = -2*c + 3*f + s for c.
2
Let b(s) = -3*s + 7. Let u be b(-3). Solve 5*i - 17 = y, 7*i - 6*i = -4*y + u for y.
3
Suppose -f = 2 - 0. Let b = f + 3. Let c be b/(4 + 0 + -3). Solve -4*a - 1 = -t, 7 - c = -3*t + 3*a for t.
-3
Let c = 14 - 6. Let v(o) = o**2 - 9*o + 8. Let h be v(c). Let l(j) = j**3 + j + 12. Let g be l( | {
"pile_set_name": "DM Mathematics"
} |
ositive.
a**(5956/231)
Simplify (l**(2/3))**(-1/9)*(l*l**0)**(3/10)*(l**(5/3)/(l**(-4)/l))**(6/5) assuming l is positive.
l**(2221/270)
Simplify (p**(-3/10)/(p**(1/12)/p)*p**16*p**(-21)/p*p)**43 assuming p is positive.
p**(-11309/60)
Simplify n**(2/13)/n**(-3/23)*(n**(-4/15))**(-2/69) assuming n is positive.
n**(3929/13455)
Simplify (((d/(d**(-9)*d)*d)/d*d*d*d*d*d**(-2/9)*(d/((d**(1/13)*d*d)/d)*d*d)/(d*d**(7/3)/d))**(-1/41))**15 assuming d is positive.
d**(-7235/1599)
Simplify (((s*s**14)/s**(-16))/(s**0)**(2/3))**(-1) assuming s is positive.
s**(-31)
Simplify ((p*p**(-2/31))**(-34)*(p**28/p)/(p*(p/p**(1/5))/p*p))**(-7) assuming p is positive.
p**(7168/155)
Simplify ((a*a/a**(1/11))/a*a*a**(-1/6))/(a**(-1))**(-42)*(a/a**(-7/2))/a**2*a**(-1/3)*a**(-2/7) assuming a is positive.
a**(-2955/77)
Simplify ((b*b**(3/11)/b*b*b*(b/(b**14*b)*b)/b)/(b*b**0*b*b**12))**(-3/7) assuming b is positive.
b**(849/77)
Simplify t*(t**(5/6)/t)/t*t**27*t**(-18/7)*t**(1/16)/t assuming t is positive.
t**(7837/336)
Simplify ((u**1/u)**(-6))**(-2/17)*(u**(-1/3))**(1/4)*u/(u*u**(-2/9))*u/(u/((u/u**(-1/5))/u*u)) assuming u is positive.
u**(241/180)
Simplify (t**(1/15)*t/t**(-3/4))/((t*t**(-3/5))/t**(2/7))*(t**(-2/5))**49*t**(3/5)*t/t**(1/3) assuming t is positive.
t**(-1397/84)
Simplify (z**(3/5)/z)/((z*z*z/z**(-8)*z)/z)*(z**(-1/5))**(-3/2)*((z/z**(7/6))/((z/(z/(z/z**(-1/28))))/z))**1 assuming z is positive.
z**(-4747/420)
Simplify ((d*((d*d**(-2/7))/d*d)/d)**(-25/6)*d**(-2/19)*d**(-6))/((d**(-6)*d*d*(d**(4/3)*d*d)/d)/((d*(d**(-1/3)*d)/d*d)/d*d)**40) assuming d is positive.
d**(15761/266)
Simplify ((k**6)**(3/5)/((k*k**(-4/21)*k)/k**(-2/33)))**10 assuming k is positive.
k**(1332/77)
Simplify ((g**0/g*g**0)/((g/(g/((g*g**(3/7))/g*g*g*g*g)))/(g*g**6)))/((g**(-2/5))**(-9))**(-1/35) assuming g is positive.
g**(293/175)
Simplify (p**4*p/(p*p/(((p*p**(1/10))/p)/p*p)))/((p/p**(-27)*p)/((p*p**(-15)*p*p)/p)) assuming p is positive.
p**(-389/10)
Simplify ((r*(((r*r**(-1/2))/r)/r)/r*r*r)**50/(r**3/r**6))/((((r/(((r**(-1)/r)/r)/r)*r)/r)/r**(-2/5))/((r/r**(1/9))/r**1)) assuming r is positive.
r**(1012/45)
Simplify ((((a/a**8*a)/a*a)/(a/(a**(2/41)*a)))**17)**38 assuming a is positive.
a**(-157624/41)
Simplify ((((z**1/z*z)/z)/z)/z)**(6/11)*z/z**(2/7)*(z*(z/((z/(z*z**(3/4)/z*z))/z*z))/z)/z*(z/z**(-1)*z)**(7/5)/(z**6/z**(-1/9)) assuming z is positive.
z**(-21313/13860)
Simplify ((j**(7/5))**(1/3)*j**(-1/8)/((j**(7/3)*j)/j))**(5/12) assuming j is positive.
j**(-239/288)
Simplify ((l*(l/(l*l**(2/7)))/l)/l**(-12))**(-38)/(((l/l**(-7)*l)/l**9)/((l**(-9)/l*l)/l*(l*l*l/l**(-3))/l)) assuming l is positive.
l**(-3151/7)
Simplify ((s*s**(3/2))**(-2/33)/(s**(-1/10)/s*s*s*s/s**(-3)*s))**38 assuming s is positive.
s**(-37943/165)
Simplify ((r/(r**(1/12)*r))/r*r/(r/(r*((r*r*r**1)/r)/r*r*r)))**(18/13)*(r*r/(r/(r*r**0)*r)*r)**(1/24)/(r**(-1/4)*r)**22 assuming r is positive.
r**(-1931/156)
Simplify (m/m**(2/31)*m/m**3*(m**(-1)/m)**(5/8))/((m**1/m)**(2/25)*(m/m**(1/2))**(4/21)) assuming m is positive.
m**(-6275/2604)
Simplify (t*t/(t/(t*(t**(6/7)/t)/t))*t*t**(1/8))**(-1/26)*(t*t*t*(t*t**(-2/13))/t*t*t/t**2*t*t)/(t**(3/2)/t**(-4/3)) assuming t is positive.
t**(8459/4368)
Simplify ((q/(q*q**(-2/27)))**(8/9)/(q/(q/(q*q**10)))**(-1/30))**(-2/5) assuming q is positive.
q**(-1051/6075)
Simplify ((r*(r/(r**(-2/9)*r))/r*r**(20/9))/((r**(-2/7)*r)/r*r)**(23/2))**(-38) assuming r is positive.
r**(13813/63)
Simplify ((p**2)**7/(p**(-12)/p**(-2)))**(-11/3) assuming p is positive.
p**(-88)
Simplify ((k*k/(k*(k*k**(-6))/k)*k*k*k*(k*k*k*k**1)/k)/(k/k**(2/7))**48)/((k/k**(-1/6)*k**(6/11)*k)/(k/(k/k**(-2)))**(-47)) assuming k is positive.
k**(32341/462)
Simplify (((h**(-14)/(h*h**(2/3)))/(h**(-2/3)/h**(2/51)))**(-24))**(-39) assuming h is positive.
h**(-238056/17)
Simplify ((d*d*d**(-1/4)*d)**14*(d/(d/((d/(d*d**4)*d)/d)*d))/(d/(d*d**5)))/((d/d**(-1))**(12/11)*(d/d**4)/d**(-7)) assuming d is positive.
d**(711/22)
Simplify r**(-22)/r*(r*r*(r*r**(-15)*r)/r)/r*r**32/r**(-35/3) assuming r is positive.
r**(23/3)
Simplify (((b/(b*b*b**(-2)*b))/b)**(2/41))**(14/3)*(b**1)**(-5)*(b*(b**(-1)/b)/b)**(-11/3) assuming b is positive.
b**(259/123)
Simplify (d**7/(d**(-5)/d))**(12/11)*(d**(-2)/d*d**0)/((d*d/d**(-2/3))/(d/(d/((d*d**1)/d)*d)*d)) assuming d is positive.
d**(314/33)
Simplify ((m**11/m)/m**(-3/17)*m**(-15)/m**(-2/11))**(-4/13) assuming m is positive.
m**(3472/2431)
Simplify (t**(-3/2)*t**(1/13)/t)**(-18)/((t**(2/3))**(2/169)*t**(1/4)*t*t**(-6/7)) assuming t is positive.
t**(613475/14196)
Simplify (q**8/(q/(q*q**17)*q*q)*(q**(-5)*q)/(q*q*q*q**12*q*q))**(-2/7) assuming q is positive.
q**(-4/7)
Simplify ((r/r**(-38))/r*r/r**4*((r*r**(1/6))/r)/(r*r/(r*r*((r*r/((r*r**(-27))/r))/r)/r*r)))**(-18) assuming r is positive.
r**(-1137)
Simplify (a**(2/5)*a*a**4*a)**(-2/19)*(((a**(-2/25)/a)/a)/a*a**(1/4))**(-32) assuming a is positive.
a**(42696/475)
Simplify (t/t**(-6)*t**(-2/15))**21/((t*t*t**(-1)*t*t*t)**(-17)*t*t*t**(-2/15)*t**(-2/5)) assuming t is positive.
t**(3161/15)
Simplify ((a**0/((a/a**2)/a))/(a**(14/3))**(-34))**(-42) assuming a is positive.
a**(-6748)
Simplify ((x/(x*(x**(-2)/x)/x))**(14/3))**(1/8)*(x**(2/13)*x**(-6))**(-47) assuming x is positive.
x**(10807/39)
Simplify ((v**6*v*v*v**(-11)*v*(v*v/(v*v*v*v*v**(-2/9)))**(1/31))**15)**(-5/12) assuming v is positive.
v**(7175/558)
Simplify ((k**(-2/79))**(-2)/(k**4/k*k**(-23)))**(-12) assuming k is positive.
k**(-19008/79)
Simplify (((t/(t/(t/((t**(2/7)/t)/t))))/(t/(((t/(t*t**(-1/3)))/t)/t)))/(t**(1/2)/t)**43)/(((t*t*t*t/t**(2/3))/t)**(15/2))**(-33) assuming t is positive.
t**(12580/21)
Simplify ((s*(s*(s*s**0)/s)/s)**(2/27))**13/((s**(-2))**(11/6)*(s**(1/4))**(-36)) assuming s is positive.
s**(368/27)
Simplify (w**(-4/5)*w/w**(-1/7)*w)**24/((w/w**(-1))/(w**(-7)/w*w)*w**(1/15)/((w/w**8)/w)) assuming w is positive.
w**(1592/105)
Simplify (r*r/((r/(r**(-10)/r*r))/r)*r**(-13)*((((r*r**(-4)*r)/r)/r)/r)**(-3/8))**16 assuming r is positive.
r**(-306)
Simplify ((j**(-1/25)/(j**(-22)*j))**46)**(-1/47) assuming j is positive.
j**(-24104/1175)
Simplify ((o*o*o/o**(-7/5)*o*o**(-2/39)/o)**(-50))**(-48) assuming o is positive.
o**(135680/13)
Simplify g**2*((g/g**(-2/5))/g*g*g)/g*g*g**(-1)*(g*(g**0/g*g)/g*g)/g*((g*g/(g*g*g/(g*g**(2/9))*g))**(-1/2))**(-7/3) assuming g is positive.
g**(673/270)
Simplify ((z**(1/8)*z/z**7)/(z**0/(z*z**(7/3))))/(z**(-2/7)/z**(1/3))**(-7) assuming z is positive.
z**(-55/8)
Simplify (y/(y*y*y/y**3*y*y)*y*y**(-7)*y)**(6/7)/((y/(y*y**0)*y)**3*(y**(-2)/y)**9) assuming y is positive.
y**(132/7)
Simplify ((z/(z*z**(-1)))**23)**(-5/6)/(((z/(z/z**(-2/7)))/z)**22/(z**(-2)*z**3)) assuming z is positive.
z**(425/42)
Simplify (((l*l*l*l**(1/2)*l/(l**(1/8)*l))/(((l/(l/(l*l**(-2/23)*l))*l)/l)/(l**(-4/9)*l)))**(-2/103))**14 assuming l is positive.
l**(-23387/42642)
Simplify (((q*q/((q**(1/12)/q*q)/q))/(q*q**(-4/9)*q)*(q*(q/q**(2/9))/q)/q*q*q/(q*q**(2/9)))**(-19/5))**(-5) assuming q is positive.
q**(437/12)
Simplify (s*s**11/s*s*s*s*s/s**(-1/4))/(s*s**(36/7)*s*(s*s**15)/s*s) assuming s is positive.
s**(-221/28)
Simplify (((f**1*f)**(3/14)/((f**(-5/3)/f)/f**(-2/5)))**(-22/3))**(7/9) assuming f is positive.
f**(-6226/405)
Simplify (n/n**4*n**(-1)*n)**(-2/87)*(n/n**(-5))/(n/((n/(n/((n*n**(2/5)/n*n)/n)))/n))*(n*n**(-1/3))**(4/23) assuming n is positive.
n**(45872/10005)
Simplify (c**(-2/5))**(-4)*((c/(c*c**(-2/11)))/c)/c*(c/(c/(c*c**4/c)))/c*(c**(-4)*c**0)/(c*c/(c/c**(1/7))*c**(5/3)) assuming c is positive.
c**(-4652/1155)
Simplify ((a**(-1))**(-2/45)*(a**0)**21)/(((a**(1/2)/a)/a)**(-14/9)/(a**(-1/3))**15) assuming a is positive.
a**(-328/45)
Simplify (k**(1/7)*k**(3/4))**(1/54)*(((k/((((k**0/k)/k)/k)/k))/k)**(-24))**(-3) assuming k is positive.
k**(435481/1512)
Simplify (b*b/((b/(b*b**(-1)))/b))**(-1/66)/(b**6*b/b**(3/2))*(b*(b/b**(2/7))/b*b*b**(-5))**(3/7) assuming b is positive.
b**(-22439/3234)
Simplify ((f**(-1/8)*f**32)**(-2/13))**(2/9) assuming f is positive.
f**(-85/78)
Simplify ((d**(-3)*d)**(-30/7)*d**(-3/2)/((d**(-7)/d)/d))**(2/83) assuming d is positive.
d**(225/581)
Simplify ((z/z**1)**38)**22*((z**(-2/3))**(-43))**(-18) assuming z is positive.
z**(-516)
Simplify (l**(-8/3)/(l*l**24/l)*(l*l*l**(-3/23))/(l/l**(-17)))**47 assuming l is positive.
l**(-138791/69)
Simplif | {
"pile_set_name": "DM Mathematics"
} |
+ 1)
Let m = 636/5 - 126. Let 0 - 2/5*q**3 - m*q**2 - 4/5*q = 0. What is q?
-2, -1, 0
Let j = 302/113 + -2/339. Solve 2/3*x + 4/3 - j*x**2 - 2*x**3 = 0.
-1, 2/3
Let k = 26 + -41. Let m = k - -15. Factor -2/9*r**3 + 0*r**2 + 2/9*r + m.
-2*r*(r - 1)*(r + 1)/9
Let f(q) = q. Let b be f(6). Factor 4*x - 4*x + 2*x**3 + b*x**2 + 2*x + 2*x.
2*x*(x + 1)*(x + 2)
Let m(w) be the third derivative of w**5/100 + w**4/40 - 8*w**2. Factor m(h).
3*h*(h + 1)/5
Find o such that 5 - 9 + 0*o**2 - o**2 + 5*o**2 = 0.
-1, 1
Let i = 1209 - 2591/2. Let k = i - -88. Factor -k + 33/2*s**3 + 6*s**4 + 3/2*s + 27/2*s**2.
3*(s + 1)**3*(4*s - 1)/2
Let g(b) be the third derivative of b**8/1008 - b**7/210 + b**6/180 + 16*b**2. Factor g(t).
t**3*(t - 2)*(t - 1)/3
Let z be ((-9)/2)/((-6)/8). Let q be 9/z*(-8)/(-6). Let x - 2*x - x**2 + 0*x**3 + 1 + 3*x**3 - q*x = 0. What is x?
-1, 1/3, 1
Let p(y) = 16*y**2 - 4. Let v(q) be the second derivative of q**4/12 - q**3/6 - 3*q. Let j(d) = -p(d) + 6*v(d). Determine f so that j(f) = 0.
-1, 2/5
Let b = 33 + -33. Let n(d) be the second derivative of 3/20*d**5 + 0*d**2 + 1/24*d**3 - 1/15*d**6 - d + b - 1/8*d**4. Factor n(q).
-q*(2*q - 1)**3/4
Factor 144*z + 24*z**3 + 3*z**4 + 36*z**2 - 6*z**3 - 120*z.
3*z*(z + 2)**3
Let h(s) = -s**3 - s**2 - s + 2. Let l be h(0). Let -3 - 28*g**2 + 0 + 2*g**4 - 3 - 22*g - 9*g**3 - 3*g**3 + l*g**5 = 0. Calculate g.
-1, 3
Factor -2/3*w**4 + w**3 - 1/3*w**5 + 0*w**2 + 0 + 0*w.
-w**3*(w - 1)*(w + 3)/3
Let n(i) be the first derivative of i**6/30 - 3*i**5/25 + i**4/10 + 2*i**3/15 - 3*i**2/10 + i/5 - 3. Factor n(g).
(g - 1)**4*(g + 1)/5
Suppose 53 = -3*u + 14. Let y = 40/3 + u. Solve -1/3*n + 0 + y*n**2 = 0.
0, 1
Let m(b) = 0 - b**2 - b**3 + b + 0. Let q be m(-2). Factor -4*f**q + f**4 + 2*f**5 - f**4 + 6*f**3 + f - 4*f**4 - f**5.
f*(f - 1)**4
Factor 2/15*q + 0 - 8/15*q**3 - 2/5*q**2.
-2*q*(q + 1)*(4*q - 1)/15
Let p(g) be the first derivative of -1 + 0*g**2 - 1/7*g**4 - 2/21*g**3 + 0*g - 2/35*g**5. Let p(q) = 0. Calculate q.
-1, 0
Factor -4/5 + 4/5*i - 2/5*i**3 - 1/5*i**4 + 3/5*i**2.
-(i - 1)**2*(i + 2)**2/5
Factor 24/7 + 15/7*y**3 + 12*y + 66/7*y**2.
3*(y + 2)**2*(5*y + 2)/7
Let r(n) be the second derivative of -5*n**4/3 - 13*n**3/6 - n**2 - 4*n. Suppose r(j) = 0. What is j?
-2/5, -1/4
Let y = 2691/1582 - -3/226. Factor 4*z**3 + 4/7 + 18/7*z + y*z**4 + 2/7*z**5 + 32/7*z**2.
2*(z + 1)**4*(z + 2)/7
Let a be 1/2*(-6 - -8)*2. Factor 0*p**a + 3/5*p**3 - 6/5 - 9/5*p.
3*(p - 2)*(p + 1)**2/5
Suppose 0 = -t + 3 - 1. Let p be 0/(t + -3) + 2. Factor -a**2 - a**2 + a + 0*a**p + a**2.
-a*(a - 1)
Factor 23*q - 40 - 6*q**2 + q**2 - 21*q - 32*q.
-5*(q + 2)*(q + 4)
Let u(z) be the third derivative of z**2 + 1/60*z**6 + 0*z**3 - 1/30*z**5 + 0*z - 1/12*z**4 + 0 + 1/105*z**7. What is i in u(i) = 0?
-1, 0, 1
Factor 0*j**3 - 3/4*j**4 + 0*j**2 + 0*j + 0.
-3*j**4/4
Let h(k) be the third derivative of -2/35*k**7 - 6*k**2 + 0 + 0*k - 1/8*k**4 - 1/5*k**5 - 1/112*k**8 - 3/20*k**6 + 0*k**3. Factor h(l).
-3*l*(l + 1)**4
Let z(s) be the second derivative of s**7/14 - s**6/10 - 9*s**5/10 + 7*s**4/2 - 11*s**3/2 + 9*s**2/2 - 26*s. Factor z(m).
3*(m - 1)**4*(m + 3)
Let h = -1/44 + 23/44. Factor -v - 1/2 - h*v**2.
-(v + 1)**2/2
Let t be (0 - 9/(-6))*2. Let q(u) be the first derivative of 1/12*u**t - 1/4*u - 3 + 0*u**2. Determine z so that q(z) = 0.
-1, 1
Let o(w) = w**3 + w**2 + w + 3. Let p be o(0). What is d in d**p + 0 + d**2 + 1/3*d**4 + 1/3*d = 0?
-1, 0
What is g in -3*g**5 - g**5 - 13*g**3 - 3*g**3 - 16*g**4 = 0?
-2, 0
Suppose 0 - 3/2*q**3 - 3/2*q**2 + 3*q = 0. What is q?
-2, 0, 1
Let w(h) be the first derivative of h**6/51 + 2*h**5/85 - 3*h**4/34 - 10*h**3/51 - 2*h**2/17 + 18. Factor w(p).
2*p*(p - 2)*(p + 1)**3/17
Let c be 1 + 2 - (-2516)/(-840). Let x(d) be the third derivative of 0*d + 1/210*d**6 + 0*d**4 + 1/735*d**7 + c*d**5 + 0*d**3 + 0 - d**2. Factor x(l).
2*l**2*(l + 1)**2/7
What is h in -18/5 + 3/5*h + 3/5*h**2 = 0?
-3, 2
Suppose -4 = 2*k + f - 5, 0 = k + f - 3. Let w be k/18*(-6)/2. Factor -1/3*m**4 + w*m**2 + 2/3*m**3 - 2/3*m + 0.
-m*(m - 2)*(m - 1)*(m + 1)/3
Let b(l) = -10*l**4 + 6*l**3 - 10*l**2 + 7*l - 7. Let i(u) = -3*u**4 + 2*u**3 - 3*u**2 + 2*u - 2. Let a(d) = -6*b(d) + 21*i(d). Suppose a(k) = 0. Calculate k.
0, 1
Suppose -8/3*j**2 - 10/3*j - 2/3 = 0. Calculate j.
-1, -1/4
Let y = -13 - -7. Let b be ((-8)/(-14))/(y/(-21)). Solve 3/4*k**3 + 0*k + 1/4*k**b + 0 = 0 for k.
-1/3, 0
Let c(b) = b**4 + 10*b**3 - 7*b**2 - 8. Let q(k) = k**3 - k**2 - 1. Let f(w) = -3*c(w) + 24*q(w). Let f(v) = 0. Calculate v.
-1, 0
Let o(y) be the third derivative of 2*y**8/189 + 8*y**7/945 - 7*y**6/540 + y**5/270 - 6*y**2. Factor o(l).
2*l**2*(l + 1)*(4*l - 1)**2/9
Let l(c) be the second derivative of 0*c**4 + 0*c**3 + 3*c + 0 + 1/45*c**6 + 0*c**2 + 1/30*c**5. Factor l(i).
2*i**3*(i + 1)/3
Let y = 40 + -37. Suppose 0*c - 2/5 + 0*c**y - 2/5*c**4 + 4/5*c**2 = 0. Calculate c.
-1, 1
Let o(b) be the second derivative of b**4/60 + b**3/15 + b**2/10 - 9*b. Factor o(i).
(i + 1)**2/5
Let g(c) be the first derivative of 4 - 1/3*c**3 + c + 1/2*c**2 - 1/4*c**4. Suppose g(y) = 0. What is y?
-1, 1
Let c(g) be the first derivative of g**8/9240 + g**7/2310 + g**6/1980 + g**3 - 2. Let s(w) be the third derivative of c(w). Factor s(p).
2*p**2*(p + 1)**2/11
Find y, given that 8/9*y**3 + 2/9*y**2 + 0 + 0*y = 0.
-1/4, 0
Suppose y - 10 = -4*y. Suppose 2*c - y = c. Factor -o + o - 2*o**3 - c*o + 4*o**2.
-2*o*(o - 1)**2
Factor -2*b**2 + 16/9*b + 0 + 2/9*b**3.
2*b*(b - 8)*(b - 1)/9
Let m(h) be the third derivative of -h**9/37800 + h**7/6300 + h**4/12 - 3*h**2. Let t(v) be the second derivative of m(v). Let t(u) = 0. What is u?
-1, 0, 1
Let p(c) be the first derivative of -c**7/140 - c**6/90 + c**5/60 + 3*c**3 + 2. Let q(v) be the third derivative of p(v). Factor q(g).
-2*g*(g + 1)*(3*g - 1)
Let y(v) be the second derivative of -1/6*v**4 + 2*v**3 + 0 + 3*v - 9*v**2. Factor y(c).
-2*(c - 3)**2
Let f(g) be the first derivative of 4*g**3/3 + 2*g**2 - 1. Determine j so that f(j) = 0.
-1, 0
Let x be (-10)/2*(-12)/15. Factor 4*a**3 + 4*a**2 + 0*a**2 + 2*a**x + 2*a**3 + 0*a**4.
2*a**2*(a + 1)*(a + 2)
Suppose -3*z - 4*r + 29 = 0, -4*r = 2*z - 7 - 19. Suppose -3 + 7 = -z*q + 5*w, -6 = -3*w. Let 1 + c + 3*c**q - 3*c - 2*c = 0. What is c?
1/3, 1
Let u be (23 - 22)*(1 + -1). Factor 0 + 1/2*o**4 - o**2 + 1/2*o**3 + u*o.
o**2*(o - 1)*(o + 2)/2
Determine c, given that 4*c - 6 - 2/3*c**2 = 0.
3
Let q(w) be the first derivative of -2*w**7/525 - w**6/300 + w**5/75 + w**4/60 + 3*w**2 + 4. Let m(v) be the second derivative of q(v). Let m(g) = 0. What is g?
-1, -1/2, 0, 1
Suppose -2*h - a = 3*h - 89, 2*h - a = 37. Let f = h + -88/5. Factor 2/5*w**2 - f*w + 0.
2*w*(w - 1)/5
Let o be -79 + 84 + (-2)/(2/5). Determine i, given that 2/13*i**2 + o + 4/13*i = 0.
-2, 0
Let r(z) be the second derivative of z**7/630 - z**6/270 + z**3/3 + 6*z. Let j(q) be the second derivative of r(q). Let j(k) = 0. Calculate k.
0, 1
Let b(a) = 4*a**2 + 2*a + 1. Let p be b(-1). Let y be 3 - p - (-1)/2. Find u such that -1/2*u**2 + 1/2*u**3 - 1/2*u + y = 0.
-1, 1
Let s(l) = -9*l**2 + 2*l + 0*l + 3 - l. Let p(q) = 22*q**2 - 2*q - 8. Let d(i) = -5*p(i) - 12*s(i). Factor d(y).
-2*(y - 1)*(y + 2)
Let z(n) be the first derivative of -2*n**6/3 - 8*n**5/5 + 8*n**3/3 + 2*n**2 + 15. Suppose z(g) = 0. What is g?
-1, 0, 1
Let a be 0 + 0 + 2 + -4. Let v be (9/(-5) - a) + 0. Factor v*b**2 - 1/5*b - 2/5.
(b - 2)*(b + 1)/5
Find o, given that 6 + 74 + 120*o - 7*o**3 + 45*o**2 + 0 + 12*o**3 = 0.
-4, -1
Let o = 9 - 6. Suppose -2*k = 2*d - 12, 2 = -4*k + o*d - 2. Factor -2 - h + 4 + k - h - 2*h**2.
-2*(h - 1)*(h + 2)
Let f be 96/15 - (-2)/(-5). Let d(r) = -2*r**3 + 5*r**2 + r. Let j(u) = -u**3 + 5*u**2 + u. Let k = -8 + 3. Let p(w) = f*j(w) + k*d(w). Factor p(l).
l*(l + 1)*(4*l + 1)
Let b(i) be the second derivative of i**6/135 + i**5/45 - i**4/18 + 11*i. Find o such that b(o) = 0.
-3, 0, 1
Let p(j) be the second derivative of j**4/12 + 14*j**3/3 + 98*j**2 + 49*j. Factor p(q).
(q + 14)**2
Factor -1191 + 4*z**3 + z - 4*z - 13*z + 4*z**2 + 1175.
4*(z - 2)*(z + 1)*(z + 2)
Let d = 113/15 - 31/5. Let m(j) be the first derivative of j**2 + d*j**3 + 0*j - 1. Factor m(i).
2*i*(2*i + 1)
Let t = 14 + -10. Let h be 28/7 - t/2. Factor -6*v**h - 4*v + | {
"pile_set_name": "DM Mathematics"
} |
+ (1*sqrt(243) + -2)*-1 + -4 + 2 + (-1*sqrt(243) - sqrt(243)))**2.
-54*sqrt(3) + 2188
Simplify (-3*1*sqrt(70) + sqrt(70))/(sqrt(40)/(sqrt(8)/sqrt(2))) - 2*(sqrt(49)/(sqrt(7) + sqrt(28)) + sqrt(7) + -5).
-14*sqrt(7)/3 + 10
Simplify (5*sqrt(270))/(2*sqrt(600)).
3*sqrt(5)/4
Simplify (((sqrt(9) - sqrt(36))*-6)/sqrt(3) - (sqrt(3)*-2 + -2 + -1*sqrt(48)))**2.
48*sqrt(3) + 436
Simplify (6*(-1 + sqrt(500))**2 + 1)*5 + 3 + -5.
-600*sqrt(5) + 15033
Simplify (((sqrt(70) + (sqrt(70) - sqrt(70)*2*3) + sqrt(70) - sqrt(70)) + sqrt(70) - sqrt(70) - sqrt(70)*-2*3)/((2*sqrt(70)*3)/sqrt(7)))**2.
7/9
Simplify 5*(((3 + sqrt(200))*-5 - sqrt(200) - (-1*sqrt(200) + 1)**2) + 2).
-1070 - 200*sqrt(2)
Simplify (1 + (-6*sqrt(2448)*1 - sqrt(2448) - sqrt(2448))**2)*5 + -3 + 2.
783364
Simplify (1*4*sqrt(152)*-1)/(-6*sqrt(128) + 2*sqrt(8)*2).
sqrt(19)/5
Simplify (sqrt(77) - (2*sqrt(77)*2 - sqrt(77)))/(sqrt(275)*-2 - sqrt(275) - sqrt(275))*6.
3*sqrt(7)/5
Simplify (4 + (sqrt(243)*1 + -1)*5)*2.
-2 + 90*sqrt(3)
Simplify ((1*sqrt(1008))**2 - sqrt(1008)) + 4 - sqrt(14)/(sqrt(2) + sqrt(8))*-5.
-31*sqrt(7)/3 + 1012
Simplify (-5 + ((-2 + sqrt(180))*-4 - (-1*(0 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180))) + 2)**2.
-240*sqrt(5) + 2905
Simplify -1*sqrt(245)*1 + (sqrt(15) + (sqrt(15) - (sqrt(180)*-2)/sqrt(12)))/sqrt(3).
-3*sqrt(5)
Simplify (2 + -4 + (sqrt(140)/sqrt(4) + sqrt(35))/sqrt(7) + 1)**2.
-4*sqrt(5) + 21
Simplify (3*(sqrt(28)/sqrt(4)*4 + 1 + sqrt(28)))**2 + 5*(-4 + sqrt(28)/sqrt(4) + -2).
113*sqrt(7) + 2247
Simplify (-5*(sqrt(65) + (sqrt(65) - -2*sqrt(65)*4)))/((4*sqrt(1470) - sqrt(1470))/sqrt(6)).
-50*sqrt(13)/21
Simplify (-4*sqrt(600)*1)/(-1*sqrt(108)*-3).
-20*sqrt(2)/9
Simplify 2 + (sqrt(325) - (sqrt(325) - ((sqrt(325) - (sqrt(325) + 5*-3*sqrt(325))) + sqrt(325)))**2)*1.
-73123 + 5*sqrt(13)
Simplify ((6*sqrt(42)/sqrt(2))/(sqrt(147) + 1*sqrt(147) + sqrt(147)))**2*1.
4/7
Simplify (-4 + ((sqrt(2) - sqrt(98)*3) + sqrt(12)/sqrt(294))*2)**2.
2224*sqrt(2)/7 + 155352/49
Simplify (4*((sqrt(396)*3*2 + sqrt(396))*3 + 1))**2.
4032*sqrt(11) + 2794192
Simplify (1 + 4 + -2 + sqrt(6336))**2 - (2*sqrt(6336) + 1 + 4).
96*sqrt(11) + 6340
Simplify 5 + sqrt(45)/(-6*sqrt(144)) + (sqrt(6655) + -2*sqrt(6655) + sqrt(6655))/(5*sqrt(44)/sqrt(4)).
-sqrt(5)/24 + 5
Simplify ((sqrt(38) - (sqrt(38) + (sqrt(38) - 3*(sqrt(38) - sqrt(38)*1)) + sqrt(38)))/(sqrt(10)/sqrt(125)))**2 + 3 + 5.
1908
Simplify (2 + 5*(3 + -1 + sqrt(300) + sqrt(300) + -1))**2.
1400*sqrt(3) + 30049
Simplify sqrt(108)*-1 + sqrt(108) - -6*sqrt(9)/sqrt(3) - ((sqrt(363) + sqrt(363) + 2)**2 + sqrt(9)/(2*sqrt(3))).
-1456 - 165*sqrt(3)/2
Simplify 3 + (6*-5*sqrt(343)*-4)**2*2.
9878403
Simplify 3 + (-6*(-4 + (sqrt(500) - (-3*sqrt(500) + sqrt(500)))))**2.
-8640*sqrt(5) + 162579
Simplify ((-4 + sqrt(68) + 0 - (sqrt(68) + (sqrt(68) - (sqrt(68) - (-2 + sqrt(68)*2)))))*4)**2.
256*sqrt(17) + 4416
Simplify (3*(sqrt(99) - sqrt(99)*1) - (sqrt(99) - (-4*(2*sqrt(99) + sqrt(99)) + sqrt(99))))/(sqrt(9) + 2*sqrt(900) + sqrt(144)*-2 + sqrt(144)).
-12*sqrt(11)/17
Simplify (sqrt(1536)*-2 + (sqrt(24) - (sqrt(864) - sqrt(864)*-1 - sqrt(864))))/(((sqrt(72) - -2*sqrt(72))*-1)/sqrt(9)).
7*sqrt(3)
Simplify (-2*((sqrt(85)*-2 - sqrt(85))/sqrt(5) - -6*sqrt(153)) + 3)**2 + -5.
-180*sqrt(17) + 15304
Simplify (sqrt(208)/(sqrt(32)/sqrt(4)*-1 - sqrt(8)))/(sqrt(98) + (sqrt(98)*-1*-5 - sqrt(98))).
-sqrt(13)/70
Simplify ((sqrt(70) - (sqrt(70)*2 + sqrt(70))*4 - (sqrt(70) + sqrt(70) + -1*sqrt(70) + sqrt(70))*1)/(sqrt(90)/(sqrt(9)*-1) + (sqrt(490) - sqrt(490)*-1)))**2.
7
Simplify (4*(3 + (sqrt(18) - sqrt(18)*-2) - (sqrt(2) + -2 + -4 + sqrt(6)/(sqrt(15)/sqrt(5)))))**2.
2016*sqrt(2) + 2864
Simplify (((sqrt(152) + sqrt(152)*3*-6 - sqrt(152)) + sqrt(152) + sqrt(152))*2)/(sqrt(32)/(sqrt(4) - (sqrt(4) - (sqrt(4) + (sqrt(576) - 2*sqrt(576)))))).
352*sqrt(19)
Simplify (3*(sqrt(110) - 3*2*sqrt(110)))/(sqrt(70)/(sqrt(7) + (sqrt(7) - (sqrt(7) + -1*sqrt(7)*5)))).
-90*sqrt(11)
Simplify ((3*(sqrt(12) - -2*sqrt(12) - sqrt(12)))/(sqrt(54)/(sqrt(36) - sqrt(9))) + (sqrt(16)*3)/sqrt(8) + (sqrt(12)/sqrt(6) - sqrt(2)) + 5)**2.
90*sqrt(2) + 187
Simplify ((2*sqrt(84))/sqrt(6))/(sqrt(175) - (sqrt(175)*2 + sqrt(175))) + 4.
-sqrt(2)/5 + 4
Simplify (((sqrt(1536) - (sqrt(1536) + (sqrt(1536)*-1 + sqrt(1536) - sqrt(1536))))*-1)/((1*sqrt(132))/sqrt(11) + sqrt(24)/(sqrt(8)/sqrt(4) + sqrt(2))))**2.
512/9
Simplify (5*(5 + -6*-1*(sqrt(320) + 1)))**2.
26400*sqrt(5) + 291025
Simplify (-1*((sqrt(960) + sqrt(960) + (sqrt(960) - sqrt(960)*1))/sqrt(6))/(-5*-2*sqrt(2)*1))**2.
16/5
Simplify ((-3*sqrt(70)*6*-2)/(5*(sqrt(90) + (2*sqrt(90) - sqrt(90)))))**2.
252/25
Simplify (5*-4*(sqrt(1584) + -2)*3)**2.
-172800*sqrt(11) + 5716800
Simplify 2 + (2*(4 + sqrt(1216) + 0))**2*-1.
-4926 - 256*sqrt(19)
Simplify -1 + (4 + sqrt(35)/sqrt(5) + sqrt(7) + 2 + -2 + (sqrt(49) - (sqrt(49)*2 + sqrt(49)))/sqrt(7) + 1 + sqrt(7) + 2)**2.
14*sqrt(7) + 55
Simplify (sqrt(5200)*1)/(sqrt(36)/(sqrt(18)/sqrt(2))) - -2*(-4 + sqrt(468)*1).
-8 + 22*sqrt(13)
Simplify (-4*sqrt(136)*3 + sqrt(136))/(sqrt(64)/(sqrt(8)*2 + sqrt(8))).
-33*sqrt(17)
Simplify ((sqrt(3744)*2)/(sqrt(2) + -4*(sqrt(2) - sqrt(32)))*6)**2.
20736/13
Simplify ((-1*sqrt(95) - sqrt(95))*-1)/(sqrt(5) + (sqrt(5) - 5*sqrt(45)) + sqrt(5) - sqrt(5)).
-2*sqrt(19)/13
Simplify 6*((-6*(sqrt(88)*-2 + sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88))/((sqrt(288) - 2*sqrt(288)) + sqrt(8)))**2.
66
Simplify (sqrt(91)*-2*3)/(-2*sqrt(112)) + 3 + -2.
1 + 3*sqrt(13)/4
Simplify (sqrt(176)/(sqrt(12)/sqrt(3)) - sqrt(176)/sqrt(36))**2 - ((sqrt(110)*-1*5)/(sqrt(10) + -5*1*sqrt(10) + sqrt(10)))**2.
-11
Simplify (1*sqrt(363)*-4)**2 + 5 + -1 + sqrt(3) + -2.
sqrt(3) + 5810
Simplify 4 + 1 + (sqrt(2299) + -6*sqrt(2299)*2 + sqrt(2299))**2 + sqrt(2299) + -6*-1*sqrt(2299).
77*sqrt(19) + 229905
Simplify (sqrt(306) + -2*sqrt(306)*-5)/(sqrt(18)/(sqrt(144)*-2)).
-264*sqrt(17)
Simplify sqrt(5)*-3 + 0 + -3 + 4 + (sqrt(720)*1)**2.
-3*sqrt(5) + 721
Simplify (-2*sqrt(832)*2 + -3)**2 + 5 + -1.
192*sqrt(13) + 13325
Simplify -1 + -1 + sqrt(44)/sqrt(4) - (-1 + sqrt(1584) + (-1 + sqrt(11))*6).
-17*sqrt(11) + 5
Simplify 2 + (sqrt(275)*2)**2 + -1 - ((sqrt(11) + 1 + -2)**2 - (3*sqrt(132) - sqrt(132))/sqrt(12)).
4*sqrt(11) + 1089
Simplify -6*(-6*(sqrt(76)*2 + sqrt(76)) - sqrt(76))/(-2*sqrt(144)).
-19*sqrt(19)/2
Simplify (sqrt(3300) + (sqrt(3300) - sqrt(3300)*2))/(2*(sqrt(3) - sqrt(48)) + sqrt(3))*-2 + -3.
-3
Simplify (sqrt(576)*-1)/sqrt(2)*5 + (sqrt(4)/((sqrt(72)/sqrt(3))/sqrt(12)))**2*6.
-60*sqrt(2) + 12
Simplify (-5 + -2*(sqrt(75) + 1 + -5 - sqrt(75))*2)**2.
121
Simplify (6*sqrt(171)*-4 - (-6*sqrt(19)*2 + -4))**2 + 0.
-480*sqrt(19) + 68416
Simplify 5*1*sqrt(162) - (3 + -1*sqrt(2) + 0).
-3 + 46*sqrt(2)
Simplify sqrt(1377)*1 + -1 + 0 + 0.
-1 + 9*sqrt(17)
Simplify ((sqrt(243) - (sqrt(243) + sqrt(243) + (sqrt(243)*1 - sqrt(243))*2 - sqrt(243))) + sqrt(243) + -1 + sqrt(243) + 1)**2.
972
Simplify (sqrt(88)*1*3)/(sqrt(6)/(sqrt(36)/(sqrt(72)/sqrt(6)))).
6*sqrt(11)
Simplify (3*sqrt(320)*5)/((2*sqrt(70) + sqrt(70))/sqrt(7)*3).
20*sqrt(2)/3
Simplify (0 + (sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104)*1*2 - sqrt(104)))))/((sqrt(80) - 2*sqrt(80))/sqrt(10)))**2.
0
Simplify (-3*1*-1*sqrt(1100) + -3 + -2*sqrt(1100) + 3)**2.
1100
Simplify 5*sqrt(567)*-1*1 - (3 + 2*(-1 + sqrt(175))).
-55*sqrt(7) - 1
Simplify (-1 + (sqrt(56)/(sqrt(32) - (sqrt(32) - sqrt(128) - sqrt(32)) - sqrt(8)) - (0 + (-1*sqrt(175) - sqrt(175)))))**2.
-102*sqrt(7)/5 + 18232/25
Simplify (-4*sqrt(21)*2 - -2*sqrt(1029))/(sqrt(42)/(sqrt(150) - sqrt(150)*-2)).
90*sqrt(3)
Simplify 2 + 1*(-5*sqrt(26)/sqrt(2) + (2 + sqrt(1573))**2).
39*sqrt(13) + 1579
Simplify (-2 + -1 + sqrt(468) + -4 + 1*sqrt(39)/sqrt(3)*2*-4)**2.
28*sqrt(13) + 101
Simplify (-1*sqrt(119)*5 - sqrt(119) - 1*(sqrt(119) - (sqrt(119)*-2 + sqrt(119) - sqrt(119)) - sqrt(119)))/((sqrt(112)/sqrt(4)*4)/sqrt(4)).
-2*sqrt(17)
Simplify 0 + sqrt(1280)/sqrt(10) + (1 + sqrt(2))**2*-6.
-18 - 4*sqrt(2)
Simplify ((1 + sqrt(147) + sqrt(147) + -4 - (sqrt(27) + 0)*-2) + 3)**2.
1200
Simplify (4*sqrt(18)*-3)/((sqrt(72) - 2*sqrt(72))/sqrt(8))*5.
60*sqrt(2)
Simplify ((1*sqrt(102) - sqrt(102) - sqrt(102) - sqrt(102))*-6 - -3*(sqrt(102)*2 - sqrt(102)))/(-2*1*sqrt(600)).
-3*sqrt(17)/4
Simplify (-1*sqrt(121)*-3*-2)/(sqrt(11) + sqrt(176) - 1*sqrt(22)/sq | {
"pile_set_name": "DM Mathematics"
} |
-d**2 - d + 2. Suppose -2*q - 10 = -20. Suppose -q = 4*c - 3*v, -2*c + 9*v - 13 = 4*v. Let y be b(c). Which is greater: 2/99 or y?
2/99
Let g = -0.25 - 0.15. Let a = 50 + -53. Do g and a have the same value?
False
Let y = -4356.06 - -4356. Is y at least as big as -3.08?
True
Let a be (-267)/39 + (-1)/((-39)/(-6)). Let m = -117 - a. Let n be 73*(-1)/m - (-8)/(-10). Which is greater: n or 0?
0
Let j = 54889/10 + -5483. Let s = j + -27/5. Let p = 17 - 15. Which is smaller: s or p?
s
Let s = 113 + -111.04. Let h = 24 + -24.96. Let c = h + s. Which is smaller: c or -7/12?
-7/12
Let h(n) = -2*n**2 + 12*n - 24. Let v be h(7). Let p(x) = -3*x + 39. Let g be p(26). Is g != v?
True
Suppose 3*c - 6 = 5*c, -14 = -2*i - 2*c. Let j be (-98)/(-10) - (-2)/i. Let h be (j/55)/(15/3). Which is smaller: 0 or h?
0
Let q = -87 - -374. Let r be (1/(-2))/1*410/q. Let x = -536/1925 - 2/275. Which is smaller: r or x?
r
Suppose 10128 = 5*l - 2*u, u = -2*l + 5554 - 1510. Let y = -159898/79 + l. Are 1/3 and y equal?
False
Let v = -1398 + 102051/73. Let p be ((-324)/(-730))/(276/15). Let s = v - p. Does -1 = s?
False
Let l = -30709973/302 + 101689. Is l <= -1?
False
Suppose 5*p - 4*q - 26 = 0, -2*p - 2*q - q - 8 = 0. Let s be 3/p + 27/2. Let g be 193/65 + s/(-5). Which is bigger: g or -1?
g
Let s = -101468927/1016 - -99871. Is 0 at most s?
True
Suppose -3*c - j + 700 + 7 = 0, 3*j = 4*c - 921. Let x be -9*(-13)/c + 62/(-4). Is -14 less than x?
False
Suppose 0 = 10*x - 171 - 429. Let u = x + -43. Let s = u - 23. Which is smaller: -5 or s?
s
Let o = 765354 - 1025574413/1340. Let w = 6/67 + o. Let b(t) = -932*t + 5593. Let h be b(6). Is w not equal to h?
True
Suppose 264 = -10*v + 5*v - 431. Which is smaller: -133 or v?
v
Suppose -16 = 3*g + 4*y, y + 31 - 72 = 3*g. Let i be (-3 - 38/(-14))/(g/(-21)). Let w = 0.15 - 0.3. Is w less than i?
False
Suppose -192*h + 324 = -183*h. Let s be 90/h*(-48)/145. Which is smaller: s or -1?
-1
Let p(m) = m**3 + m**2 - 2*m + 10. Let t be p(0). Let r be (t/15)/(3/(-126)). Suppose -x - c = 20 + 12, 8 = -x + 5*c. Are r and x non-equal?
False
Suppose 26*z = -119*z + 3*z - 2232950. Are z and -15724 unequal?
True
Let y = 82 + -78. Suppose 173 = y*d - 3*c, 4 = 4*d - c - 179. Which is smaller: d or 41?
41
Let g = -14902 - -288458012/19357. Do g and 0 have different values?
True
Let d = -0.24 - -8.24. Let i = d - 20. Let n = i - -14. Is n less than -0.3?
False
Let s = -757/5796 - -11/252. Suppose -3*u + 1 = -8. Suppose -5*k + 10 = -2*n, -8 - 7 = -3*k + u*n. Which is bigger: k or s?
k
Let f be (-191)/(-4) + 0 - 9/(-36). Let z = -65 - -70. Suppose z*q = 2*r + 245, -4*q + 116 = -q + 5*r. Is q less than or equal to f?
True
Suppose -n - n = 4*n. Let j be (-1083)/33 + 8 + n + -3. Which is smaller: j or -29?
-29
Let b be (55/297)/(125/150). Does 2 = b?
False
Let t = -82 - -77. Let v be -2 + (-13)/t - (-4)/10. Let c = 1.1 + 3.4. Is c at least v?
True
Let b = -27.97 - -26. Let i = b - -1.6. Suppose 2*f = -2*v - 8, 52*v - 4*f = 48*v + 24. Which is smaller: i or v?
i
Let a = 68 - 50. Suppose o + 4 = 0, 0 = 3*m - 7*o + 4*o - 60. Is a at least as big as m?
True
Suppose -246 - 834 = -18*c. Let p be c - (-4)/((-2 - 3)/(-5)). Is p < 127/2?
False
Let w be 86/(-5*14/(-315)). Let n = 387 - w. Is -8/19 less than or equal to n?
True
Let r(c) = c + 13. Suppose -14*s = -17*s + 39. Let x be r(s). Let v be 29/399 - x/182. Which is greater: -1 or v?
v
Let b be 2 + -1 - (1/(7/(-49)) + -2012). Which is smaller: b or 2021?
b
Suppose -5*s - 4*p = -s, 0 = -3*s + 2*p + 10. Suppose 2*n - s = 0, k + 0*n - 7 = -5*n. Let c be 6/(-15) - ((-2)/5 + k). Which is smaller: 1 or c?
c
Let o be 2/(-3) + (1446/540 - 2). Let f = o + 7/45. Let d = -6.7 + 7. Which is greater: d or f?
d
Let u = 79 + -79.171. Let h = 0.571 + u. Let k = -0.7 - -6.7. Which is smaller: k or h?
h
Suppose g - 8*f = -3*f + 18, 0 = 2*g + 4*f + 6. Suppose 3*k + 3*b - 12 = 0, 2*k - 6*k = g*b - 13. Let w(o) = 8*o**2 - 2*o + 1. Let v be w(k). Are 7 and v equal?
True
Let h = 17 - 14. Suppose -4*a - 5 - h = -5*t, -a - 1 = -t. Let g be t + -134*(-3)/(-99). Which is greater: g or -1?
g
Let i be 1/(-3) + (-3)/(-9). Suppose -4 + i = 4*l. Let q = 16434741/5 + -3286949. Is l at most as big as q?
True
Let o = -23.971 - -24. Let r = -4.271 - o. Let f = r - -5.3. Which is smaller: -31 or f?
-31
Let s be (-26*33/(-2145))/((-1)/16). Let a = -12 + 5. Does a = s?
False
Let y = 25857 - 26424. Which is bigger: y or -1133/2?
-1133/2
Let r be (1 + 6/(-4))/(23/3542). Suppose -2*y = y + 5*x + 244, -4*y = -x + 310. Is r equal to y?
False
Let c = 0.2345 + -0.0345. Which is bigger: c or -4/2013?
c
Suppose -1242 = -10*h + h. Let t = h + 31. Which is bigger: 168 or t?
t
Suppose 3 = t, 3 = -4*i - 103*t + 104*t. Which is smaller: -6/5477 or i?
-6/5477
Let t(x) = x**3 - 11*x**2 + 4*x - 26. Let n be t(11). Let r be n/15*60/6744. Which is bigger: 1 or r?
1
Let b = -415.977 + -0.023. Let t = 399 + b. Which is smaller: -3 or t?
t
Suppose 5*y - 364 + 394 = 0. Let c be (-4)/(-18)*y*198/4. Which is bigger: -196/3 or c?
-196/3
Let b = 333 + -405. Let l = -84 - b. Is -12 greater than l?
False
Let t = -4659 + 5141. Is 6 bigger than t?
False
Let t(a) = -13*a - 26. Let q be t(-6). Suppose 57*r - q = 59*r. Let w = -25 + 0. Is w at least r?
True
Suppose -3*t - 7 = 17. Let m be (-2 - t)/(-2 + 34/(-4)). Are m and 16 nonequal?
True
Let o be 4 + (2 - 2/(-1)). Let u be o/32 - 42/(-40). Are u and 2 nonequal?
True
Let f = -2714 + 157413/58. Which is smaller: f or 307?
f
Let x = -0.34984 + 0.24984. Let i = 11.8206 + -0.1306. Let s = -11.2 + i. Which is greater: x or s?
s
Suppose -2*l - 3*d + 12 = l, 0 = 3*l + 5*d - 22. Let a(w) = -8*w**3 + 2*w**2 + 3*w. Let y be a(l). Let q = 13 - y. Is 4/7 <= q?
True
Suppose -22*i = 1319 + 873 + 602. Is -128 at least i?
False
Let m(l) = -2*l**3 + 26*l**2 + 2*l - 25. Let q = 58 - 45. Let r be m(q). Is -1/101 less than or equal to r?
True
Let q(r) be the first derivative of r**4/4 - 17*r**3/3 + 22*r**2 - 28*r + 62. Let m be q(14). Which is greater: m or -71?
m
Let u = 14212 - 14148. Which is smaller: u or 56?
56
Suppose 5*z = -125 - 30. Which is smaller: 2 or z?
z
Let s be (2/12)/(5781/5076). Which is smaller: -3 or s?
-3
Let c = -148 - -371. Suppose -4*m = 5*k - 5*m + c, 0 = -5*k - 5*m - 235. Let v = k - -52. Which is smaller: v or 11/2?
11/2
Suppose 3*b = 265 - 31. Suppose p + p = b. Suppose -p*r + 36*r = 12. Is -3 > r?
True
Let p = 60 - 66. Which is greater: 45 or p?
45
Let u(n) = -3*n + 13. Let h(r) = -4*r + 19. Let t(c) = 5*h(c) - 7*u(c). Let a be t(-4). Which is greater: a or -1/114?
a
Let w = 74002/125 + -592. Suppose 10*c + 338 = 58. Let i be -8 - (-4)/((-16)/c). Is w > i?
True
Let b = 70483/127 + -555. Suppose 289*h + 227 = 43 - 105. Is b >= h?
True
Let z = 3200 - 158. Which is smaller: z or 3040?
3040
Suppose 6*x + t + 2508 = 8*x, 0 = -4*x - 4*t + 4968. Which is greater: x or 1244?
x
Let f = 210059/17717 - -2/2531. Which is bigger: f or 12?
12
Let z = -65 + 87. Suppose -q = 3, -2*g + 2*q + z = -0*q. Let m be 3*(-4)/g*(-10)/(-57). Is m at least 0?
False
Suppose -7257 = -2*x + 3*i + 290, 4*x = i + 15109. Are 3777 and x non-equal?
True
Let l be -2 - (-5 + -3 + 138/18 - 2). Which is greater: 303/7 or l?
303/7
Let q be ((-6)/42 + 12/(-14))/1. Let u(t) = -124*t**2 + 2*t. Let r be u(q). Do r and -126 have different values?
False
Let j be ((-15)/9 + 2548/(-42))/1. Suppose 2*k + 3*n + 107 = 0, 5*k + 310 = -0*k + n. Which is smaller: j or k?
j
Let c = -15.42 - -51.42. Which is smaller: c or 4.5?
4.5
Let b be -12 + 703728/59025 + (-2)/25*-1. Are b and -0.2 equal?
False
Let n = -2588 + 2587.895. Is n greater than or equal to 0.1?
False
Suppose -17*y + 438 = -378. Let q be -1 - (558/y + -4). Do q and -10 have the same value?
False
Let d be (-12)/(-14)*54116/978. Which is bigger: -0.3 or d?
d
Suppose 0 = -4*y - 0*y + 200. Let j = 2468 - 2419. Which is smaller: j or y?
j
Suppose -7 = 3*v - 40. Suppose -2 = -9*z - v. Let j = 1/104 + -319/728. Is z at least as big as j?
False
Suppose -4*a + 3*y + 9 = 0, 5*a + 7*y - 19 = 3*y. Suppose 4*d = a*x + 53, -110 = -5*d - 2*x - 3*x. Suppose -d + 19 = 2*h. Which is smaller: 1/26 or h?
1/26
Let g = -51 + 26. Let c = -738 + 712. Is g bigger than c?
True
Let z(s) = -s**2 - 9*s + 21. Let w be z(-10). Suppose -3*u | {
"pile_set_name": "DM Mathematics"
} |
fferent values?
True
Which is smaller: 15748 or 15795?
15748
Are 2/7 and -1.4992185 non-equal?
True
Is 596/2564901 greater than -1?
True
Which is bigger: -94034 or 846?
846
Which is smaller: 11976007 or 11976047?
11976007
Is -335/598 < -1?
False
Which is greater: -0.3 or -273.4369?
-0.3
Which is greater: 4 or 12309877?
12309877
Which is greater: -263668/1857 or -141?
-141
Is 7508184 bigger than 7508184?
False
Which is smaller: -1/363965577 or 1?
-1/363965577
Is 854453385 < 854453385?
False
Which is smaller: 1 or -136635431?
-136635431
Which is smaller: 1650295 or 1650640?
1650295
Which is smaller: -34/19 or 1200?
-34/19
Is -15/2258231 greater than 0.1?
False
Is -9 bigger than 57928919?
False
Is -6941278 > 0.1?
False
Is 3967921 at least as big as 3967927?
False
Which is smaller: 5 or 6932/1091?
5
Is -38126561 <= -38126559?
True
Which is smaller: -2/5 or -110502/1409?
-110502/1409
Are 1951/2 and 14.96 unequal?
True
Which is greater: -83842131 or -83842146?
-83842131
Is 2 greater than -33031554/103?
True
Is -2102210 smaller than -2102183?
True
Is -1 greater than 3000/9241?
False
Are -8 and -217085/23 equal?
False
Which is smaller: -124542574/31 or -4017503?
-4017503
Which is smaller: 3098238 or 0.01?
0.01
Which is bigger: 4687 or 398384/85?
4687
Are -1775 and -15120 nonequal?
True
Is -1063033 less than -1063006?
True
Are -5/106752174 and 1 non-equal?
True
Which is greater: -12665774 or -12665741?
-12665741
Is -4689075 >= -4689064?
False
Is -357501/179 bigger than -1996?
False
Which is smaller: 404136.876 or -1?
-1
Which is smaller: -6535715 or 1?
-6535715
Which is bigger: 4/186359777 or 1?
1
Which is bigger: -61041930 or -61041926?
-61041926
Which is greater: 2/528207 or -0.01?
2/528207
Which is greater: -190644362/7 or -27234909?
-190644362/7
Is -1 at least -286/198933?
False
Is -3297/116852 at most as big as 0?
True
Is -971 at least 3680?
False
Which is smaller: -4069754 or -6?
-4069754
Is -91791 < -2294746/25?
True
Does 69441924 = 69441923?
False
Is -3.829 smaller than 12/1139?
True
Which is bigger: 29.494 or -2.1?
29.494
Is 703929/29 < 24274?
True
Are -3/1004005 and -19 equal?
False
Which is smaller: 0.257 or -4050895?
-4050895
Which is greater: 73.162 or 13?
73.162
Which is smaller: 60120/73 or 113?
113
Is 6757810 != 6757810?
False
Is -94077/14278 less than or equal to -8?
False
Is 0 greater than 58/7533207?
False
Is -47622 bigger than -47003?
False
Is -7413163 equal to -7413249?
False
Which is bigger: 16516/5119 or 3?
16516/5119
Which is greater: 35174239 or 35174234?
35174239
Do -31718699/8 and -3964836 have different values?
True
Is -97242 at least -100660?
True
Which is bigger: 31/57 or 94/11?
94/11
Which is greater: 1 or -2/395111505?
1
Is 15/16 <= 99006?
True
Which is smaller: 1 or 16172/21661?
16172/21661
Is -538122 > -10224333/19?
True
Is -27424 greater than -795338/29?
True
Do 48386 and 48019 have the same value?
False
Which is greater: -14/577 or -47?
-14/577
Which is greater: -25859 or -26762?
-25859
Which is greater: -185/160976 or -1?
-185/160976
Is 3 less than or equal to -188452?
False
Is 1 greater than or equal to -1248/29567?
True
Is 84490 bigger than 285?
True
Which is smaller: -13176622 or -13176624?
-13176624
Which is smaller: -2 or 0.19437939?
-2
Which is bigger: 535188 or 534990?
535188
Is 1/12 at least 3/4045960?
True
Which is greater: 396415284 or 396415286?
396415286
Is -271007029 at least 0?
False
Which is smaller: -1 or 1858/8049?
-1
Which is greater: 1 or 3/491815070?
1
Is 109 smaller than -69/853?
False
Which is bigger: 4920 or 1691?
4920
Which is smaller: -239359 or -159?
-239359
Which is smaller: 18111827 or -2?
-2
Which is bigger: -224466 or -224444?
-224444
Is -135946/5301 > -27?
True
Which is greater: -959044 or 0.21?
0.21
Is 9/5 bigger than -1633171?
True
Which is greater: 149568129/7 or 2/7?
149568129/7
Which is smaller: -118922942 or 1?
-118922942
Is 361 not equal to -150329?
True
Is -7 <= -31452796?
False
Which is bigger: -3710983/23 or -161348?
-3710983/23
Which is smaller: 498804 or 498796?
498796
Which is smaller: -7552 or -18.47?
-7552
Is -16430170 at most -164301687/10?
True
Is -5321 != 5/152?
True
Which is greater: -254773 or -1019087/4?
-1019087/4
Which is bigger: -1/8 or -1524468?
-1/8
Is -186405 greater than -186414?
True
Which is greater: 7/10 or 39349.8?
39349.8
Which is greater: 1 or -1/12149309?
1
Which is greater: 5387 or -322?
5387
Which is smaller: 0 or -3/3059894?
-3/3059894
Is -45739 less than or equal to -8427?
True
Is 61 >= 213721/3576?
True
Which is bigger: -65210879 or -65210882?
-65210879
Are 39514658 and 39514659 unequal?
True
Are 193675 and -38 equal?
False
Which is bigger: 1525/3463 or 1?
1
Does -313126 = -312932?
False
Is 10659/314 smaller than 33?
False
Which is bigger: 245655896 or 6?
245655896
Is -484102720 not equal to -484102721?
True
Are -34127 and -4129300/121 non-equal?
True
Which is bigger: -70009 or -1680227/24?
-70009
Which is bigger: 23/656833 or 0?
23/656833
Which is smaller: -1 or -2850/1859?
-2850/1859
Which is bigger: -1791 or -2605?
-1791
Is -83.73 equal to 43?
False
Which is smaller: -33594 or -39611?
-39611
Which is smaller: -1441 or -2452?
-2452
Are -56689943 and -56689944 equal?
False
Which is smaller: -33116 or -1423970/43?
-33116
Do -1286307 and -1286314 have different values?
True
Which is bigger: -25872/6337 or -5?
-25872/6337
Which is smaller: 92414079 or 92414084?
92414079
Which is smaller: -1 or -309/677948?
-1
Which is greater: 398242 or 398195?
398242
Which is smaller: 1 or -294981?
-294981
Which is smaller: 578 or 898?
578
Is 0 less than -356/1097691?
False
Which is smaller: 138/1531 or -682?
-682
Which is smaller: 1/657 or 14332?
1/657
Is 93614509 at least 93614508?
True
Do 6280719 and -0.02 have different values?
True
Is 2922188 less than or equal to 2922160?
False
Which is smaller: -16990612 or -16990613?
-16990613
Is 303730162 not equal to 303730167?
True
Is -91509 < -90429?
True
Are -5959814 and -5959814 nonequal?
False
Are -25218282 and -3 non-equal?
True
Are -3425598 and -3425600 non-equal?
True
Which is smaller: -7/186890668 or 0?
-7/186890668
Which is smaller: -74615 or -74453?
-74615
Does 9.662 = -4.012?
False
Are 189 and 49312 unequal?
True
Which is greater: -321 or -138361?
-321
Is 9/69865 less than or equal to 1?
True
Is 90141607 <= -1?
False
Is 11590 at least 10666?
True
Which is smaller: 911052/601 or 1517?
911052/601
Which is smaller: -53/4 or -947963?
-947963
Which is smaller: -1675 or 51565?
-1675
Which is greater: 7/134907 or 19?
19
Which is smaller: -1 or -139/27097?
-1
Is 19521840 less than or equal to -98?
False
Which is greater: 8/23 or -94.1271?
8/23
Which is bigger: -33446 or -19004?
-19004
Is -39782299 != -39782301?
True
Is 40696 at most 40416?
False
Is 177.0289 <= -0.1?
False
Which is bigger: -38229697 or -38229694?
-38229694
Which is smaller: 0 or 1/214345542?
0
Which is smaller: 269 or -1148?
-1148
Are 3/3101564 and 0.18 nonequal?
True
Which is greater: -2.199631 or -46?
-2.199631
Which is smaller: 687634 or 8251607/12?
8251607/12
Which is smaller: 16961302 or -6?
-6
Is 10 at most 82973/7743?
True
Is 27962734 at most 27962728?
False
Which is bigger: 639665 or 639660?
639665
Which is bigger: -1/1602957521 or 0?
0
Is -1 at most -44062855.5?
False
Is 1431023588 less than 1431023589?
True
Which is bigger: 60125802 or 60125796?
60125802
Are 1835 and -2767 equal?
False
Is 18056619/46 < 392534?
False
Are -2169796837 and -2169796837 unequal?
False
Which is smaller: 414/162485 or 0?
0
Which is smaller: 39491 or 393?
393
Is -2/33 bigger than 71844?
False
Is 4/757 > 43712?
False
Which is greater: 6185752 or 6185730?
6185752
Which is greater: 1643 or 1240?
1643
Is -290536930 greater than -290536931?
True
Which is bigger: 26821 or 26820?
26821
Is -8409/280 greater than -30?
False
Which is greater: -1891391971 or -1891391970?
-1891391970
Is -0.012 bigger than 95181?
False
Is -16858.7 <= 214?
True
Which is smaller: -12/11 or -74145?
-74145
Which is smaller: -16587227 or -49761683/3?
-49761683/3
Which is smaller: 69414 or 1180032/17?
1180032/17
Is 1882 greater than 28938?
False
Is -8997744 not equal to -8997632?
True
Is -2319.49 > 10?
False
Which is smaller: -0.04437 or -64/1251?
-64/1251
Which is smaller: 13871359 or -9?
-9
Do - | {
"pile_set_name": "DM Mathematics"
} |
-4*g + 64, -111 = -5*g + 2*s. List the prime factors of g.
3, 7
Suppose -2*p - 3*j = -2, -4*p - j = -10 - 14. Suppose 0 = 2*f - p*f + 25. Suppose -2*a = -f*a + 9. List the prime factors of a.
3
Suppose -3*z = -p + 23, 0 = -2*p - 2*p + 4*z + 92. List the prime factors of p.
23
Suppose -2 = 4*h - 54. List the prime factors of h.
13
Let h(f) = -8*f**2 + 1. Let z be h(-1). Let o = 7 - z. What are the prime factors of o?
2, 7
Let s = -4 + 9. Suppose 5*h = -5*o + 35, -2*o + 2*h = s*h - 13. What are the prime factors of o?
2
Suppose -r = -5*y - 85 - 156, 2*r = -4*y + 440. What are the prime factors of r?
2, 113
Let a = -44 + 52. What are the prime factors of a?
2
Let s(m) = m**3 + 9*m**2 - 13*m - 14. Let j be 38/(-4) - (-2)/(-4). List the prime factors of s(j).
2
What are the prime factors of (24/(-48))/(((-1)/74)/1)?
37
List the prime factors of 171/2*(-12)/(-9).
2, 3, 19
Let y(u) = -u**2 - 5*u - 4. Let l be y(-7). Suppose 0 = s - 3*s + 50. Let i = l + s. List the prime factors of i.
7
Suppose 4*f + 46 = 6. Let u = f - -29. List the prime factors of u.
19
Suppose -c - 2*k - 8 = 0, 2*c - 2 = -5*k - 23. Suppose -3*l + 3*o - o = -14, -c*l + 3 = 5*o. What are the prime factors of l?
2
What are the prime factors of (223/6)/((-20)/(-120))?
223
Let c be 2/(-1*(2 - 3)). Let k be (8/6)/(c/(-12)). Let a(p) = -2*p - 7. What are the prime factors of a(k)?
3
List the prime factors of (-127 - (-3 - -5))*-1.
3, 43
Let p(n) = -22*n**3 + n**2 - 1. Suppose 0 = -a + 2*a + 1. List the prime factors of p(a).
2, 11
Let f be (0 + 111)*(-7)/(-21). Suppose 3*h + 5*x + 32 = 157, -h - 4*x = -f. List the prime factors of h.
3, 5
Let d(f) = 19 - 12 - 11 + f**2. Let a(w) = -w**2 + 9*w + 3. Let h be a(9). What are the prime factors of d(h)?
5
Let c be 7*(3 + (-9)/(-7)). Let h = c + -10. List the prime factors of h.
2, 5
Let p(n) = -n**2 - 5*n. Let s be p(-7). What are the prime factors of s/21 - (-202)/6?
3, 11
What are the prime factors of (-12)/(-10)*(-25)/(-2)?
3, 5
Suppose 3*z - 8 = -z. Suppose 2*f = -z - 2. List the prime factors of (1/(-2))/(f/40).
2, 5
List the prime factors of 6 - (-3 + 1 + -1).
3
Let r be (-4)/(-10) - (-8)/(-20). Suppose -4*o + 83 = -u, r = -3*o + 6*o - 4*u - 59. List the prime factors of o.
3, 7
Suppose 50 = u + 3*g, 4*g + 194 = 5*u + 5*g. List the prime factors of u.
2, 19
Let o = 8 - -2. What are the prime factors of 4/o + (-8)/(-5)?
2
Let d(j) = -j**3 + 5*j**2 - 2*j + 5. Let y be (-42)/(-9) + (-2)/(-6). Suppose -3*c + y + 7 = 0. List the prime factors of d(c).
13
Let k = -1 - 0. Let v = k - -3. List the prime factors of v.
2
Suppose -h + 36 = 3. List the prime factors of h.
3, 11
Let o be 14/6*(0 - 3). Let z(c) = c**2 + 4*c - 7. List the prime factors of z(o).
2, 7
Let c(a) = 13*a**3 + a**2 - a + 1. Let u be c(1). Let g = -34 + 24. Let q = u + g. List the prime factors of q.
2
Let g = -33 + 36. List the prime factors of g.
3
Suppose -4*d + 5 = -3. Suppose 2*v = -d*v. Suppose v = 2*n - 9 - 9. List the prime factors of n.
3
Let h = 142 + -71. What are the prime factors of h?
71
Let w(y) = y**2 - y - 29. List the prime factors of w(-14).
181
Suppose 5*i = 2*i - 3*s + 57, s = 2*i - 47. List the prime factors of i.
2, 11
Let o(z) = -2 + 3*z + 2*z**3 + 9*z**2 + 2*z**3 - 5*z**3. What are the prime factors of o(9)?
5
Let n = 4 - 2. Suppose n*j = 8 + 26. What are the prime factors of j?
17
Let b = 16 + -1. Suppose -y - 4 = -b. List the prime factors of y.
11
Suppose -2*p + 430 = -10. Let n be p/18 - (-8)/(-36). Let j = n - 2. List the prime factors of j.
2, 5
Let v(p) = -2*p**3 - 2*p**2 - 2*p - 1. Let j be v(-1). List the prime factors of 9/(3*j/3).
3
Let i(h) = h**3 + 4*h**2 - h - 2. Let v be i(-3). Suppose 0*z + v = -z. Let s = 4 - z. List the prime factors of s.
2, 7
Let x = 16 + -9. Let g = x + 9. What are the prime factors of g?
2
Let g(u) = -8*u - 1. Let i be g(-2). Let q be 28/10 + 3/i. What are the prime factors of 1 + (48/q)/1?
17
Suppose -y = 4*y + 15. Let q = y - 1. What are the prime factors of (0 - q)*22/8?
11
Let y = 2 - 1. Let f be 3*y/(-2)*-2. Suppose f*s - s - 4*x = 26, 0 = -3*s - 5*x + 39. What are the prime factors of s?
13
Suppose -3*w + 7*w = 480. List the prime factors of w.
2, 3, 5
Let q(m) = m**3 + 7*m**2 - 3*m - 12. List the prime factors of q(-7).
3
Suppose 0 = 31*g - 25*g - 282. List the prime factors of g.
47
Let x = -98 + 189. List the prime factors of x.
7, 13
Let h = 14 + -10. Suppose h*l + l - 45 = 0. What are the prime factors of l?
3
Suppose s - 5*s + 3 = r, -2*s - 3*r - 11 = 0. What are the prime factors of (-3)/s - 13/(-2)?
5
Suppose 0 = -5*v - 2*v + 2807. What are the prime factors of v?
401
Let l(r) = -r**3 - r**2 + 3. Let t be l(0). Suppose -2*i + 13 = t*s, 0*i - 3*s = -3*i + 57. What are the prime factors of i?
2, 7
Let p = 7 + -6. What are the prime factors of (-4)/(((-3)/p)/12)?
2
Let b = -93 + 163. Suppose -y = h - 4*h + 85, 4*y = 2*h - b. List the prime factors of h.
3
Let l be 4/(-4) - (-1 + 0). Suppose l = 2*y + 4*i - 10, -2*y - y - i + 5 = 0. Let k(u) = 14*u + 1. What are the prime factors of k(y)?
3, 5
Let c(u) = 2*u**2 - 7*u + 1. Let j be c(5). Let b = -6 + j. List the prime factors of b.
2, 5
Let m(c) = c**2 + c - 2. What are the prime factors of m(7)?
2, 3
Let m = -22 + 9. Let z be 5 - 7 - (-1 - 2). Let p = z - m. What are the prime factors of p?
2, 7
Let j be (11/(-4))/((-3)/12). List the prime factors of j - 3/((-3)/1).
2, 3
Suppose -123 = -8*c - 11. List the prime factors of c.
2, 7
Suppose 3*k - 375 + 33 = 0. List the prime factors of k.
2, 3, 19
Suppose 20*j = 25*j - 1580. List the prime factors of j.
2, 79
Suppose -4*v + y + 231 + 16 = 0, -5*v + 5*y + 290 = 0. Let n = 22 + v. Suppose 0 = -5*t, -3*f + t = 2*f - n. List the prime factors of f.
17
Let s(f) = -4*f**2 - 87*f + 4. What are the prime factors of s(-20)?
2, 3
Suppose 3*m = 4*r - 13, -5*r - m - 7 = 3*m. Let u(q) = -q + r - 4*q + 0. List the prime factors of u(-1).
2, 3
Let k be 2 + -2 + 0 - -28. Suppose 2*p + 2 = k. List the prime factors of p.
13
Suppose 0 = -g + r + 11 + 27, -2*r = -2. List the prime factors of g.
3, 13
Let m = 7 + -17. List the prime factors of (-4 - -3)*(m + 0).
2, 5
Let t = -12 - -16. Suppose l + 148 = 5*n, t*n - 5*l + 0*l = 110. List the prime factors of n.
2, 3, 5
What are the prime factors of -2*676/(12/(-3))?
2, 13
Suppose -k + 4*n - 5 = 0, -11 - 9 = 4*k - 5*n. Let a(l) = l**3 + 5*l**2 - 2*l + 4. List the prime factors of a(k).
2, 7
Let u(o) be the first derivative of o**3/3 - 9*o**2/2 + 2*o + 4. List the prime factors of u(10).
2, 3
Let d be (-81)/(-2) - (-6)/(-12). What are the prime factors of (-6)/(((-36)/d)/3)?
2, 5
Let f(g) = -g - 4. Let q be f(-5). What are the prime factors of (5 - -26)*(0 + q)?
31
Let p(y) = -2*y + 4. Let i be p(-2). What are the prime factors of i/14 + (-5820)/(-105)?
2, 7
Suppose 4*i = 3*v - 6*v - 4, 0 = 4*i - 5*v - 28. Suppose 37 = i*l - 2*n + 15, -l - 3*n = -11. List the prime factors of l.
11
Suppose -2*p - 2*k + 36 = 0, p + p - 31 = 3*k. Suppose 3*r - 3 = 4*j, r + 3*r = j + p. Suppose -l = -4, z - 36 = -j*z - 5*l. What are the prime factors of z?
2
Let m be 1*(-1)/1 - 15. Let o be 1/4 + 4/m. Suppose 3*n + 0*n + 5*t - 57 = o, 0 = -5*n + t + 95. What are the prime factors of n?
19
Let y = 57 + 24. List the prime factors of y.
3
Suppose 14*z - 9*z - 750 = 0. What are the prime factors of z?
2, 3, 5
Suppose 0*h + 15 = 5*h. Suppose -q = -7*k + 2*k - 92, 0 = h*q + k - 212. Suppose -24 = 4*a - q. What are the prime factors of a?
2, 3
Suppose -3*u - 2*t + 94 = 0, 2*t = 2 + 2. What are the prime factors of u?
2, 3, 5
Suppose 3*a + 10 = a, g + 2*a + 7 = 0. Suppose 0 = -g*z - 0*z. Suppose z*h = -h + 9. List the prime factors of h.
3
Suppose -a + 5*k = 21, -4*a - 2*k + 26 = -0*k. What are the prime factors of a*(-1)/6*-3?
2
Let p(c) = 11*c**2 + c + 4. Let j be p(-3). Suppose -m - j = -6*m. List the prime factors of m.
2, 5
Let t be (189/(-6))/(12/(-16)). Suppose t = 4*m + 18. List the prime factors of m.
2, 3
Let i(k) = -k**2 + 37*k - 31. List the prime factors of i(18).
311
Suppose -b = 4*c + 18, b + 5*c = -b - 36. Let t = 40 + b. Suppose -2*q + t = -2*w, 4*q + 3*w - 5 = 18. List the prime factors of q.
2
Let c = 61 - 36. Let z = c - 11. Let w = 25 - z. List the prime factors of w.
11
Let y be 1 | {
"pile_set_name": "DM Mathematics"
} |
/24
Calculate prob of sequence uepn when four letters picked without replacement from iuienpvne.
1/756
Four letters picked without replacement from {v: 3, t: 3, f: 2, x: 5, p: 2}. What is prob of sequence xptp?
1/1092
Four letters picked without replacement from {n: 1, x: 2, z: 1}. Give prob of sequence zxzx.
0
What is prob of sequence eccm when four letters picked without replacement from {m: 9, c: 3, e: 2, a: 2}?
9/3640
Calculate prob of sequence mmsx when four letters picked without replacement from {s: 2, m: 6, x: 4}.
2/99
Two letters picked without replacement from eeaaeeeee. What is prob of sequence ee?
7/12
Calculate prob of sequence zoc when three letters picked without replacement from {u: 4, c: 1, z: 1, o: 2}.
1/168
Four letters picked without replacement from {a: 4, o: 1, u: 7, p: 2}. Give prob of sequence aoua.
1/286
Two letters picked without replacement from rerrrrrrrrrrrrr. What is prob of sequence rr?
13/15
Calculate prob of sequence kv when two letters picked without replacement from {s: 2, v: 1, p: 8, k: 5}.
1/48
Four letters picked without replacement from {b: 1, i: 10, q: 1, x: 1}. Give prob of sequence bxii.
3/572
Four letters picked without replacement from pmpppppppmppmp. Give prob of sequence pmpm.
5/182
Calculate prob of sequence xmxm when four letters picked without replacement from {m: 5, x: 2}.
1/21
Three letters picked without replacement from {h: 1, o: 1, e: 2, y: 3, f: 3, i: 2}. Give prob of sequence iff.
1/110
Two letters picked without replacement from {u: 1, x: 1, k: 1, e: 1, v: 4}. What is prob of sequence xk?
1/56
Three letters picked without replacement from aberreaarapparra. Give prob of sequence eep.
1/840
Calculate prob of sequence qqwq when four letters picked without replacement from wuuddqdudpudcuud.
0
Four letters picked without replacement from {e: 4, h: 3, j: 1, t: 2, v: 1, k: 1}. Give prob of sequence tjke.
1/1485
Four letters picked without replacement from jinjjnwjjwjnnibjin. What is prob of sequence bnjn?
7/3672
Four letters picked without replacement from {s: 3, j: 2, d: 1, w: 3, a: 1, v: 1}. What is prob of sequence sjdv?
1/1320
What is prob of sequence ww when two letters picked without replacement from {w: 3, z: 5}?
3/28
Three letters picked without replacement from {o: 5, i: 3, e: 1, f: 1}. What is prob of sequence efi?
1/240
What is prob of sequence jm when two letters picked without replacement from {m: 3, e: 1, j: 1}?
3/20
What is prob of sequence ff when two letters picked without replacement from sffkksksskkkskfks?
3/136
What is prob of sequence hhf when three letters picked without replacement from bbhbbxbxfhbf?
1/330
Four letters picked without replacement from {t: 1, x: 1, y: 4, w: 4, n: 1}. Give prob of sequence ntwy.
1/495
Two letters picked without replacement from {c: 12, y: 2, i: 1, a: 4}. Give prob of sequence ya.
4/171
What is prob of sequence zssn when four letters picked without replacement from snbsznszs?
1/63
What is prob of sequence bba when three letters picked without replacement from {a: 2, y: 1, p: 1, c: 2, x: 2, b: 1}?
0
What is prob of sequence gx when two letters picked without replacement from gxx?
1/3
Two letters picked without replacement from qdrlqqrrsdsdrzd. What is prob of sequence ld?
2/105
What is prob of sequence zql when three letters picked without replacement from lzzzzlzqpzqypzqlzp?
1/68
Calculate prob of sequence aqc when three letters picked without replacement from qacqgqn.
1/70
What is prob of sequence ss when two letters picked without replacement from {s: 3, i: 1}?
1/2
Four letters picked without replacement from bhhbbbobooobbb. Give prob of sequence bobb.
8/143
Calculate prob of sequence gng when three letters picked without replacement from {q: 2, g: 3, b: 1, n: 1}.
1/35
Two letters picked without replacement from {c: 1, z: 3, x: 6, s: 5}. What is prob of sequence xx?
1/7
Calculate prob of sequence blqb when four letters picked without replacement from lllfqlqlbqqr.
0
Two letters picked without replacement from {z: 1, q: 2, n: 1, b: 6, a: 1, p: 5}. What is prob of sequence zn?
1/240
Two letters picked without replacement from pcsvqvx. What is prob of sequence sc?
1/42
What is prob of sequence ggg when three letters picked without replacement from {g: 7}?
1
Three letters picked without replacement from errjeqzjerrzrrg. What is prob of sequence jgz?
2/1365
Calculate prob of sequence jc when two letters picked without replacement from eceejtec.
1/28
What is prob of sequence cxxc when four letters picked without replacement from {e: 2, x: 6, c: 2, l: 2}?
1/198
Three letters picked without replacement from {g: 1, s: 2, w: 1, f: 1}. What is prob of sequence sss?
0
Two letters picked without replacement from {o: 2, b: 1, h: 3, v: 1, n: 6}. Give prob of sequence vh.
1/52
Two letters picked without replacement from sabxbsk. Give prob of sequence bk.
1/21
Calculate prob of sequence swsw when four letters picked without replacement from {w: 3, s: 7}.
1/20
What is prob of sequence gdg when three letters picked without replacement from {d: 4, g: 15}?
140/969
What is prob of sequence zzz when three letters picked without replacement from {z: 10}?
1
Calculate prob of sequence ppi when three letters picked without replacement from {r: 1, b: 7, i: 4, p: 6, x: 2}.
1/57
Four letters picked without replacement from {l: 5, h: 3}. What is prob of sequence hhlh?
1/56
Two letters picked without replacement from fufufuuuuuuufuffufu. Give prob of sequence fu.
14/57
Two letters picked without replacement from {i: 4, u: 2, y: 7, f: 1, m: 6}. Give prob of sequence im.
6/95
What is prob of sequence pkk when three letters picked without replacement from {v: 2, p: 1, c: 1, k: 2}?
1/60
Three letters picked without replacement from mueeeeemeemumweeeu. Give prob of sequence wuu.
1/816
What is prob of sequence akm when three letters picked without replacement from avbcvkmkmcav?
1/165
Calculate prob of sequence myc when three letters picked without replacement from {c: 1, p: 1, y: 3, s: 1, m: 1}.
1/70
Three letters picked without replacement from sggbgpsgsspggggspsg. Give prob of sequence bpg.
3/646
Calculate prob of sequence nzv when three letters picked without replacement from rnvlylznlryl.
1/660
Calculate prob of sequence nn when two letters picked without replacement from {m: 7, n: 4}.
6/55
Four letters picked without replacement from virvivxvx. What is prob of sequence vvrx?
1/126
Calculate prob of sequence ej when two letters picked without replacement from {e: 1, a: 2, j: 4, n: 3, m: 8, f: 2}.
1/95
What is prob of sequence yy when two letters picked without replacement from yyyy?
1
Calculate prob of sequence elgz when four letters picked without replacement from wzgegllggezjg.
1/429
What is prob of sequence lgz when three letters picked without replacement from {z: 3, j: 4, l: 4, o: 2, f: 1, g: 6}?
1/95
Calculate prob of sequence ht when two letters picked without replacement from hgtht.
1/5
What is prob of sequence rq when two letters picked without replacement from oroqqoq?
1/14
Four letters picked without replacement from {q: 2, k: 8, z: 2}. Give prob of sequence kkzz.
14/1485
Calculate prob of sequence fux when three letters picked without replacement from bfqqxxu.
1/105
Calculate prob of sequence qq when two letters picked without replacement from qqqqqaa.
10/21
What is prob of sequence llub when four letters picked without replacement from lubulllllulllll?
11/1092
What is prob of sequence vva when three letters picked without replacement from vnnnknnnvnvnanv?
2/455
Calculate prob of sequence fj when two letters picked without replacement from cippcjiapcijcfi.
1/105
What is prob of sequence ttt when three letters picked without replacement from uuuttuututttut?
5/52
Four letters picked without replacement from dieezeei. Give prob of sequence zedi.
1/210
What is prob of sequence kin when three letters picked without replacement from nknkekiojoek?
1/165
What is prob of sequence jd when two letters picked without replacement from {d: 9, j: 9}?
9/34
Four letters picked without replacement from ggxgxffafgmgwgamgmgg. What is prob of sequence amwx?
1/9690
Two letters picked without replacement from nbnnbjq. What is prob of sequence jn?
1/14
Calculate prob of sequence j | {
"pile_set_name": "DM Mathematics"
} |
*k + 45 = 0. Which is greater: b or i?
b
Let m = -37 - -9. Let g = 7 - m. Which is smaller: 36 or g?
g
Let i = -360 - -426. Which is smaller: 131/2 or i?
131/2
Let v be 2*5*10/50. Suppose 0 = -v*t - 0*t. Is 2 bigger than t?
True
Let h(z) = 5*z + 8. Let y be h(-6). Let g be 24/10 - y/(-55). Suppose 4*p - 1 = -5*c, -2*p + c = p + 4. Are g and p equal?
False
Suppose 6*k - 8 = 4*k. Suppose 25 = 2*s + 5*v, 5*s + 0*s = -4*v + 20. Suppose -f - k = -s*f. Is f at least -6?
True
Let a be (-10)/3*15/(-10). Suppose -a*g = -2*c - 15, 8*g - 3*g - 10 = c. Which is smaller: g or 2/111?
2/111
Let y(f) = f**3 + 9*f**2 - 3*f - 11. Let l be y(-9). Suppose 2*k = -j - 4, -l = 5*k + 2*j - 4. Let s(d) = -d + 3. Let i be s(4). Which is bigger: k or i?
i
Let w = -922 - -921. Which is smaller: -11/92 or w?
w
Let m be 10/(-4)*((-154)/(-35))/(-11). Is -1/38 != m?
True
Let a be 2*-1 + 288/(-12). Let k = a - -24. Is -7/8 greater than or equal to k?
True
Let o(i) = 2*i**2 - i - 1. Let k be o(-3). Let p be (-21)/k + 8/32. Suppose -3*t + t = 5*m - 8, 2*t = 4*m - 10. Is p at least as big as t?
True
Suppose 0 = -2*h - 0*s - s - 54, 4*h = -s - 106. Let k = h - -27. Let x be -2 + 2 - (k - 0). Are x and -4/11 unequal?
True
Let b(g) be the second derivative of g**4/12 - 2*g**3/3 - 36*g. Suppose 4*l + 9 = 29. Let t be b(l). Are 6 and t nonequal?
True
Let q be (145/(-50))/(3/(-4)) - 4. Which is smaller: -3 or q?
-3
Let f = 4899/7 + -699. Is 0.14 greater than f?
False
Let k = 10 + -11. Let w(i) = -i**3 - i**2 - 2*i - 1. Let s be w(k). Let c be ((-2)/35)/(s/(-5)). Which is smaller: 1 or c?
c
Let c = 4.06 - 4. Let a = c - 0.06. Let d = 4.8 + 4.2. Is d less than a?
False
Let o = -0.5 - -0.6. Let k be 640405/(-21385) - ((-24)/13 + 2). Let d = k - -211/7. Which is smaller: d or o?
d
Let z = -592 + 588.47. Let o = -0.53 - z. Let y = 0.04 - -2.96. Is y at most as big as o?
True
Let y be 2 - (-27)/(-15) - 39/(-5). Is 2 <= y?
True
Suppose 42*o - 26*o = 1664. Which is greater: o or 109?
109
Let z = -385 - -241. Which is smaller: -724/5 or z?
-724/5
Let d(k) = 237*k - 992. Let t be d(8). Which is smaller: 903 or t?
903
Let r = -153 - -155. Suppose -5*v + 0*l + l = -2, 0 = -3*v - 5*l + 18. Let b be -3 + 1/(v/r). Is 1 less than b?
False
Suppose -2*u - 2*u = -3*k - 43, -u = 3*k + 38. Let f = 158 + -171. Let i = f - k. Which is greater: 6 or i?
6
Let s = -629 - -628. Which is smaller: s or 1/292?
s
Let r = -220 - -222. Let n = -0.7 - -0.2. Let w = -4.5 + n. Which is greater: w or r?
r
Suppose 5*j + 19 = 22*o - 18*o, 5*o = 5. Which is smaller: -84 or j?
-84
Suppose -4*l + 5*w = 457, 0*l + 4*w - 452 = 4*l. Let y be (-2)/(-8) + l/(-16). Is -4/3 smaller than y?
True
Let s be (-6)/27 - 490/63. Which is bigger: s or 13?
13
Let w = -21 + 25. Suppose 0 = 3*y + k - 183, -1 = -y + w*k + 60. Suppose 0 = -4*j - y + 13. Is j at most -12?
True
Suppose 1 = f + 3*m + 13, -2*m + 26 = -5*f. Let b(i) = i + 5. Let x be b(f). Let a(v) = -v**3 - 3*v**2 - 1. Let r be a(-3). Is r bigger than x?
False
Let p be 237 - (14*(-4)/(-8) - 0). Which is smaller: 228 or p?
228
Let q be -7*4/(-252) - (-2265)/27. Is 84 != q?
False
Let w(l) = l + 9. Let j be w(-6). Suppose 0 = -q - 3*q - 3*a + 36, -2*q + 5*a = 8. Which is bigger: j or q?
q
Let q = 825 + -813. Suppose -5*k = -15, i - 2*k - 18 = -4*k. Are i and q unequal?
False
Suppose -2*m = -7*m - 45. Let q = m + 10. Let f be (q + 0)/(4/8). Which is smaller: f or -0.1?
-0.1
Let w be 19/2 + 3/2. Suppose w*m + 520 = 3*m. Does -64 = m?
False
Let y(k) = -6*k**3 - 3*k**2 + 2. Let a be y(-1). Suppose -66 + 281 = -a*v - 5*g, 0 = 2*v - 2*g + 70. Which is greater: 1 or v?
1
Let i(v) = v - 4. Let m be i(-5). Let k be (-2*(-49)/(-28))/(2/4). Which is smaller: k or m?
m
Let w(z) = -z**3 - 13*z**2 + 8. Let c be w(-13). Let q be -4*(20/c - 2). Is -1 at most q?
False
Let c(v) = 0*v + 1 + 3 - 2 - v. Let l be c(-9). Let m be l*((-48)/(-15) + -3). Is m >= 0?
True
Let y(x) = -2*x**2 - 13*x - 49. Let i be y(-12). Is -181 bigger than i?
False
Suppose 0 = -2*r - h, 2*r = 5*r - 4*h. Are r and 8/35 nonequal?
True
Suppose -2*f - 21 = -5*d, -3*f + 7*f + 4*d = 28. Suppose 2*u - 3*u = f. Let h be -3 + -2 + -3 + 3. Is h != u?
True
Suppose -2*l + 12 = 4*u, 4*u = 2*u + 4. Let i = 3 - l. Is i at most 20/11?
True
Let j = -1190 - -1191. Which is greater: -12/65 or j?
j
Let r = 8.6 - 8.55. Let v = r + -2.05. Which is smaller: -0.6 or v?
v
Let m = -557 + 556. Are m and -1/309 equal?
False
Let j be (4/10)/(3/225). Let a be 15*-1*j/75. Is -2 < a?
False
Let m be (879/(-3)*-3)/(-5 + -2). Let w = m + 125. Is -2 less than w?
True
Let t(s) = s**2 - 6*s + 5. Let m be t(6). Suppose 3 = -z + 2*x - m, 0 = -3*z + 3*x - 12. Let c be 21/63*4*(-3)/4. Which is bigger: z or c?
z
Let b(w) = -2*w**2 - 65*w + 29. Let u be b(-33). Suppose 5*r = 2*r - 6. Which is smaller: r or u?
u
Suppose 356 = -5*o + 41. Let s = o + 33. Which is smaller: s or -31?
-31
Let l be 3/(6/4) + 1. Suppose 6*j + l = -9. Let a = -3128/9 - -347. Which is smaller: a or j?
j
Let t(g) = 3*g**2 + 16*g - 18. Let x be t(-10). Is -1 at most x?
True
Let d = -2/7245 + -2896/7245. Which is smaller: 0.66 or d?
d
Let d(t) = -2*t**2 + 28*t - 2. Let o be d(12). Are 45 and o equal?
False
Let d = -18 + 18.55. Let x = d - 0.49. Is x equal to -1/6?
False
Suppose -129 = -4*q + o - 0*o, o + 63 = 2*q. Let f(t) = -t**2 + 13*t - 4. Let a be f(4). Are q and a equal?
False
Suppose 0*v - 2*v = 4*c + 34, c = 5*v + 118. Are -11 and v non-equal?
True
Let g be (24/16)/(((-1)/(-2))/1). Suppose -g*b - 6 + 30 = 0. Do b and 8 have the same value?
True
Let b = -470/21 + 1745/42. Is b not equal to 18?
True
Let c be 25/3 - (-46)/69. Is c smaller than -1?
False
Let f = -788 + 788. Is 16 less than or equal to f?
False
Let r = -0.589 - -0.589. Is r not equal to 9.6?
True
Suppose -5*i - 252 = f, -f - 52 = -4*i + 5*i. Let k be (-15)/111*4/i. Which is smaller: k or 1?
k
Let o = 0.0632 + 62.3368. Is o less than or equal to 0?
False
Let k be 4/(-10) - ((-768922)/455 - -7). Let j = 1681 - k. Are j and -2 non-equal?
True
Let n be (16/(-9))/8*-1. Suppose 0 = -2*v + 3*p - 13, p - 2 = -5*v + 8. Which is smaller: n or v?
n
Let k = 12.89 + -13. Let i = -0.01 - k. Let b be -3 + 36/14 - -1. Is b less than or equal to i?
False
Let g = 488 - 531. Is g >= -51?
True
Suppose 9 = -3*d, -2*p + 93 = 2*d - 19. Let a = p - 54. Which is bigger: 3 or a?
a
Let i be -1 - -1 - (-2 - 133/(-21)). Let w(p) = p**2 - 8*p + 2. Let q be w(8). Let u = q + -5. Is u bigger than i?
True
Suppose 49*u + 1864 = 2*k + 45*u, 4*k - 4*u = 3708. Is k greater than or equal to 922?
True
Let d(t) = -21*t - 1. Let m be d(3). Which is greater: m or -66?
m
Let j(p) = -21*p + 66. Let o(t) = 7*t - 22. Let a(y) = 6*j(y) + 17*o(y). Let l be a(3). Which is smaller: -1/8 or l?
-1/8
Let x = -48.048 - -0.048. Let b = 48 + x. Which is greater: 7 or b?
7
Let u(c) = -c**3 + 5*c**2 + 2*c + 5. Suppose 0*r + 4*r - 16 = 0. Let d be u(r). Let a = d - 18. Do a and 9 have different values?
True
Let l(o) = 127*o + 18. Let d be l(-4). Let i be -1*1 - d/470. Which is greater: i or -1?
i
Let h = 0.323 + 6.777. Is 0.1 greater than h?
False
Let u(b) = -b**3 + 18*b**2 + 37*b + 61. Let j be u(20). Is j at least 1/368?
True
Suppose 0 = -5*m + 2*r - 273137, -273157 = 5*m + r + 2*r. Let w = -6500534/119 - m. Let y = 38/17 - w. Is y <= 1?
True
Let m(w) = w + 55. Let g(k) = -2*k - 166. Let f(s) = -6*g(s) - 17*m(s). Let r be f(12). Which is greater: -2/9 or r?
r
Suppose -d - 13 = 4*g, 3*d + 3*g + 0*g = -12. Is d bigger than -35/18?
True
Suppose 4*l + 2*g - 1 = g, -2*g + 2 = l. Is l less than -5/27?
False
Let b be ((-12)/64)/((-10)/(-8)). Let m be (10 - 13 - -3*1)/1. Is b at most m?
True
Suppose 0 = 76*q - 71*q + 25. Let l be (q/1)/(1 - -3). Which is smaller: -2 or l?
-2
Suppose 1 = 2*p - 17. Suppose 14 = c + 2*k, -3*c - k = -27 + 5. Let u be (15/c - 1)/p. Which is bigger: -1 or u?
u
Let w(y) = -y**3 + y + 14. Let r be w(0). Let c be r/77 + (-42)/(-11). Suppose -5*l + 58 = -5*m - l, -5*m - c*l - 42 = 0. Are m and -10 unequal?
False
Suppose -a = -8*a + 14. Let f be 5/(20/(-8)) - a/(-2). Which is smaller: -1/19 or f?
f
Let l = -1741 + 12225/7. Is 4 at least l?
False
Suppose 6 = 3*b + 33. Let c be b/(-6)*(-2)/12. Suppose 3*t + 4*m + 11 = 0, -5*t + t - 6 = m. Which is greater: t or c?
c
Let h | {
"pile_set_name": "DM Mathematics"
} |
71, -2847?
-z**2 - 567*z + 13
What is the o'th term of -53551, -53550, -53549, -53548, -53547, -53546?
o - 53552
What is the d'th term of -140, -313, -572, -959, -1516, -2285, -3308?
-7*d**3 - d**2 - 121*d - 11
What is the z'th term of -377, -754, -1131?
-377*z
What is the r'th term of -9860, -9859, -9858, -9857, -9856?
r - 9861
What is the z'th term of 15, 53, 117, 207, 323, 465, 633?
13*z**2 - z + 3
What is the l'th term of 1256, 1260, 1266, 1274, 1284?
l**2 + l + 1254
What is the d'th term of 1119, 1112, 1089, 1044, 971, 864, 717?
-d**3 - 2*d**2 + 6*d + 1116
What is the u'th term of -335, -335, -343, -365, -407, -475?
-u**3 + 2*u**2 + u - 337
What is the b'th term of 50, 100, 150?
50*b
What is the z'th term of -49, -91, -133, -175?
-42*z - 7
What is the m'th term of -12, -9, -4, 3, 12, 23?
m**2 - 13
What is the t'th term of 177, 179, 181?
2*t + 175
What is the q'th term of 39, 232, 739, 1716, 3319, 5704?
26*q**3 + q**2 + 8*q + 4
What is the p'th term of 52, 55, 54, 49, 40, 27, 10?
-2*p**2 + 9*p + 45
What is the l'th term of -22, -29, -30, -25, -14, 3, 26?
3*l**2 - 16*l - 9
What is the q'th term of -110, -102, -74, -14, 90, 250, 478?
2*q**3 - 2*q**2 - 110
What is the o'th term of -5, -12, -19?
-7*o + 2
What is the p'th term of -2, -22, -70, -158, -298, -502, -782, -1150?
-2*p**3 - 2*p**2 + 2
What is the l'th term of 369, 735, 1099, 1461, 1821, 2179, 2535?
-l**2 + 369*l + 1
What is the r'th term of 6, -159, -434, -819, -1314, -1919?
-55*r**2 + 61
What is the x'th term of -7, -9, -21, -49, -99?
-x**3 + x**2 + 2*x - 9
What is the z'th term of 618, 1236, 1854, 2472, 3090?
618*z
What is the y'th term of -3, -8, -35, -96, -203, -368?
-2*y**3 + y**2 + 6*y - 8
What is the v'th term of -56, -117, -180, -245, -312, -381?
-v**2 - 58*v + 3
What is the p'th term of 20, 35, 38, 23, -16, -85?
-p**3 + 22*p - 1
What is the k'th term of 22, 32, 42, 58, 86?
k**3 - 6*k**2 + 21*k + 6
What is the d'th term of -8, -21, -44, -83, -144?
-d**3 + d**2 - 9*d + 1
What is the h'th term of 43, 83, 117, 145, 167?
-3*h**2 + 49*h - 3
What is the g'th term of -1004, -2015, -3034, -4067, -5120, -6199?
-g**3 + 2*g**2 - 1010*g + 5
What is the m'th term of 6, -7, -34, -81, -154, -259?
-m**3 - m**2 - 3*m + 11
What is the o'th term of 156, 579, 1286, 2277, 3552, 5111?
142*o**2 - 3*o + 17
What is the g'th term of -154, -138, -114, -82, -42?
4*g**2 + 4*g - 162
What is the c'th term of -436, -441, -458, -493, -552, -641, -766?
-c**3 + 2*c - 437
What is the v'th term of -12, -26, -48, -78, -116, -162?
-4*v**2 - 2*v - 6
What is the x'th term of 2226, 4453, 6680, 8907, 11134?
2227*x - 1
What is the i'th term of -47, -28, -5, 16, 29, 28?
-i**3 + 8*i**2 + 2*i - 56
What is the n'th term of -1348, -2691, -4034, -5377?
-1343*n - 5
What is the n'th term of -54091, -54100, -54123, -54166, -54235, -54336, -54475?
-n**3 - n**2 + n - 54090
What is the t'th term of -2, -9, -22, -41?
-3*t**2 + 2*t - 1
What is the j'th term of 35, 24, 15, 8, 3, 0?
j**2 - 14*j + 48
What is the s'th term of 81, 89, 101, 117, 137, 161?
2*s**2 + 2*s + 77
What is the u'th term of 2434, 2435, 2438, 2443?
u**2 - 2*u + 2435
What is the k'th term of 127, 278, 447, 640, 863, 1122, 1423?
k**3 + 3*k**2 + 135*k - 12
What is the b'th term of 359, 335, 313, 293, 275, 259?
b**2 - 27*b + 385
What is the h'th term of -15, -58, -129, -228, -355?
-14*h**2 - h
What is the h'th term of 55, 65, 91, 139, 215, 325, 475, 671?
h**3 + 2*h**2 - 3*h + 55
What is the q'th term of -44, -102, -160, -218, -276, -334?
-58*q + 14
What is the c'th term of 70, 54, 28, -8?
-5*c**2 - c + 76
What is the l'th term of -22, -54, -104, -172, -258, -362?
-9*l**2 - 5*l - 8
What is the l'th term of 601, 593, 585, 577, 569?
-8*l + 609
What is the g'th term of -252, -323, -450, -639, -896?
-g**3 - 22*g**2 + 2*g - 231
What is the v'th term of 102, 205, 308, 411?
103*v - 1
What is the l'th term of 18, 38, 52, 60, 62, 58?
-3*l**2 + 29*l - 8
What is the o'th term of 61, 116, 157, 178, 173?
-o**3 - o**2 + 65*o - 2
What is the f'th term of -106, -91, -66, -31, 14, 69?
5*f**2 - 111
What is the w'th term of -49, -9, 45, 119, 219, 351, 521?
w**3 + w**2 + 30*w - 81
What is the v'th term of -36938, -36926, -36900, -36854, -36782, -36678, -36536?
v**3 + v**2 + 2*v - 36942
What is the t'th term of 866, 861, 856?
-5*t + 871
What is the x'th term of -254, -256, -270, -302, -358?
-x**3 + 5*x - 258
What is the x'th term of 4596, 4598, 4600, 4602, 4604?
2*x + 4594
What is the t'th term of -251, -278, -305, -332, -359, -386?
-27*t - 224
What is the m'th term of -124, -371, -784, -1363, -2108?
-83*m**2 + 2*m - 43
What is the f'th term of -50, -136, -228, -332, -454, -600, -776?
-f**3 + 3*f**2 - 88*f + 36
What is the f'th term of -57, -220, -491, -870?
-54*f**2 - f - 2
What is the a'th term of 3, 10, 19, 30, 43?
a**2 + 4*a - 2
What is the q'th term of 49, 74, 99, 124, 149?
25*q + 24
What is the a'th term of -8, -12, -14, -14, -12, -8, -2?
a**2 - 7*a - 2
What is the x'th term of -38, -43, -50, -59, -70, -83?
-x**2 - 2*x - 35
What is the s'th term of 52, 110, 168, 226, 284?
58*s - 6
What is the p'th term of 1127, 2254, 3379, 4502, 5623?
-p**2 + 1130*p - 2
What is the j'th term of -34, -29, -22, -13, -2, 11, 26?
j**2 + 2*j - 37
What is the b'th term of 75, 159, 243, 327, 411?
84*b - 9
What is the l'th term of 145, 161, 179, 199, 221, 245?
l**2 + 13*l + 131
What is the b'th term of 1518, 1510, 1504, 1500, 1498, 1498, 1500?
b**2 - 11*b + 1528
What is the d'th term of 67, 74, 93, 130, 191, 282, 409, 578?
d**3 + 66
What is the a'th term of -22, -31, -30, -13, 26, 93, 194?
a**3 - a**2 - 13*a - 9
What is the c'th term of 252, 229, 182, 105, -8, -163?
-c**3 - 6*c**2 + 2*c + 257
What is the k'th term of 613, 611, 607, 601, 593, 583?
-k**2 + k + 613
What is the s'th term of -19, -14, -7, 2?
s**2 + 2*s - 22
What is the c'th term of -11, -4, 19, 64, 137?
c**3 + 2*c**2 - 6*c - 8
What is the m'th term of -6, -19, -46, -93, -166, -271, -414?
-m**3 - m**2 - 3*m - 1
What is the r'th term of -48, -75, -102, -129, -156, -183?
-27*r - 21
What is the z'th term of -9385, -9386, -9387, -9388?
-z - 9384
What is the b'th term of 5, 31, 95, 215, 409, 695?
3*b**3 + b**2 + 2*b - 1
What is the w'th term of -13, -12, -9, -4, 3?
w**2 - 2*w - 12
What is the j'th term of 416, 406, 396, 386, 376?
-10*j + 426
What is the t'th term of -467, -942, -1415, -1886, -2355, -2822, -3287?
t**2 - 478*t + 10
What is the j'th term of -428, -854, -1280, -1706, -2132?
-426*j - 2
What is the w'th term of -315, -312, -309, -306?
3*w - 318
What is the f'th term of 306, 328, 364, 414?
7*f**2 + f + 298
What is the v'th term of 817, 1624, 2431, 3238, 4045, 4852?
807*v + 10
What is the p'th term of 74, 73, 28, -85, -290?
-4*p**3 + 2*p**2 + 21*p + 55
What is the o'th term of 14, 8, 2, -4, -10?
-6*o + 20
What is the c'th term of -64, -68, -74, -82, -92, -104, -118?
-c**2 - c - 62
What is the l'th term of 11, 60, 191, 446, 867, 1496, 2375?
7*l**3 - l**2 + 3*l + 2
What is the w'th term of 518, 536, 568, 620, 698, 808, 956?
w**3 + w**2 + 8*w + 508
What is the j'th term of -596, -1189, -1782, -2375?
-593*j - 3
What is the i'th term of 82, 167, 266, 385, 530, 707?
i**3 + i**2 + 75*i + 5
What is the u'th term of -30, -67, -130, -219, -334, -475, -642?
-13*u**2 + 2*u - 19
What is the k'th term of 16, 29, 54, 97, 164, 261, 394?
k**3 + 6*k + 9
What is the s'th term of -33, -117, -201, -285, -369, -453?
-84*s + 51
What is the s'th term of -34, -68, -116, -172, -230, -284, -328, -356?
s**3 - 13*s**2 - 2*s - 20
What is the c'th term of 94, 99, 108, 121, 138?
2*c**2 - c + 93
What is the w'th term of -154, -297, -440, -583, -726, -869?
-143*w - 11
What is the x'th term of -9, -22, -61, -138, -265, -454, -717, -1066?
-2*x**3 - x**2 + 4*x - 10
What is the i'th term of -2834, -5670, -8506, -11342, -14178, -17014?
-2836*i + 2
What is the a'th term of -10856, -21713, -32570, -43427, -54284?
-10857*a + 1
What is the q'th term of 53, 6, -71, -178, -315, -482?
-15*q**2 - 2*q + 70
What is the s'th term of -40, -55, -70, -85, -100, -115?
-15*s - 25
What is the o'th term of 88, 114, 142, 172, 204, 238, 274?
o**2 + 23*o + 64
What is the p'th term of 99, 200, 311, 438, 587, 764, 975, 1226?
p**3 - p**2 + 97*p + 2
What is the v'th term of 733, 732, 731, 730, 729?
-v + | {
"pile_set_name": "DM Mathematics"
} |
8191 and -1.
-8191
What is the product of 0.19 and 11?
2.09
Calculate -180*1.
-180
7 times 4
28
6 * 123
738
Calculate -0.3*64.
-19.2
Multiply -4 and -104.
416
Calculate 0.51*1.
0.51
What is the product of 53 and 0.059?
3.127
32 times 4
128
Calculate -411*17.
-6987
Work out -0.06 * 1.21.
-0.0726
Calculate 0*55.
0
0.032*0.422
0.013504
-0.5 times -0.2692
0.1346
218 * -51
-11118
What is the product of 0.013 and -3.06?
-0.03978
Calculate -0.2*-37.
7.4
0.01 * 0.04
0.0004
-17063 times 4
-68252
-0.05 times 0.1059
-0.005295
Work out -2.56 * -0.1.
0.256
Product of 0.1 and -0.224.
-0.0224
Work out 0.063 * 0.1.
0.0063
What is the product of 20.22 and -2?
-40.44
What is -130.7 times -0.1?
13.07
Calculate -0.21*222.
-46.62
620*0.3
186
What is -3.48 times -0.1?
0.348
What is the product of 1 and -0.82?
-0.82
Work out -3.1 * 6.
-18.6
4 * -145
-580
2.4*7
16.8
What is -41 times -26?
1066
-431*0
0
What is the product of 0.0027 and -2?
-0.0054
-486 times 0.3
-145.8
Calculate -90.86*-3.
272.58
Multiply 3160 and -0.4.
-1264
What is the product of 93 and 0.14?
13.02
Product of -2 and -2567.
5134
Multiply -0.2 and 0.00287.
-0.000574
What is -179 times -1?
179
-3.3 times -0.5
1.65
-3.46 * 0.4
-1.384
0.2 * -3
-0.6
Multiply -0.5 and -0.353.
0.1765
-16.2*-0.57
9.234
Product of 27 and -2.
-54
Product of 0.01806 and 0.1.
0.001806
Work out -0.38 * 14.
-5.32
-133 times 25
-3325
Product of 0.1 and 67.9.
6.79
Product of -4 and 0.1159.
-0.4636
What is -0.0341 times -0.05?
0.001705
What is the product of 0.14 and -6?
-0.84
-3 times -6854
20562
Work out -2.4 * 6.
-14.4
Work out -0.2018 * 0.
0
11 * 14.8
162.8
Work out 0.2 * -6.9.
-1.38
What is -2.63 times -0.2?
0.526
Calculate 0*0.05.
0
Product of 420 and -3.
-1260
0.12 * 15
1.8
Multiply -0.1 and 9.05.
-0.905
Multiply -2.99 and 0.5.
-1.495
Work out -2 * -112.6.
225.2
Product of 0.199 and 0.3.
0.0597
2.07*-0.4
-0.828
What is the product of 42 and 0.3?
12.6
-445.5*-3
1336.5
Calculate 4*4744.
18976
Multiply -28 and -5.
140
-3.06 * 1
-3.06
-275 * -0.5
137.5
Calculate 2*50.
100
Multiply 2 and -1073.
-2146
-7 times 121
-847
Calculate -2*-0.64.
1.28
Product of -1 and 0.036.
-0.036
Product of -1.955 and 0.1.
-0.1955
What is 1.01 times -41?
-41.41
-69 times -85
5865
-5 * 548
-2740
-3 times 0.172
-0.516
Calculate -11.09*0.5.
-5.545
Work out 969 * 2.
1938
Calculate 4.4*-0.38.
-1.672
What is 2.2 times 0.03?
0.066
Product of 0.0007 and 13.
0.0091
Multiply -34 and -73.
2482
What is the product of -397 and 17?
-6749
-0.5 times 44
-22
6.2*10
62
3*0.1577
0.4731
What is -0.55 times -2?
1.1
Work out 17 * 1.9.
32.3
What is the product of -4 and -15?
60
What is -8 times -19.8?
158.4
-1.5 * 1
-1.5
Product of -3579 and 0.2.
-715.8
-0.3 * 1.628
-0.4884
279*-3
-837
Calculate 0*33.
0
Multiply -2997 and -3.
8991
What is -3 times 0.39?
-1.17
What is the product of 4 and -2415?
-9660
Multiply -856 and -0.9.
770.4
What is 5 times 521?
2605
-364 times -0.4
145.6
Multiply -2.22 and 10.
-22.2
Calculate -66*120.
-7920
What is the product of -3 and 156?
-468
Product of -0.3 and -689.
206.7
-5 * -22.74
113.7
What is the product of 11.531 and 0.3?
3.4593
208 * 0.1
20.8
63 times -0.01
-0.63
Calculate 1.69*-0.05.
-0.0845
Product of 0.13 and -3.9.
-0.507
Multiply -97 and -2.
194
What is the product of 26 and -0.1?
-2.6
Product of -2089 and -0.3.
626.7
Multiply 0.023673 and -0.2.
-0.0047346
Work out 0 * -26.
0
Work out 18.4 * -4.3.
-79.12
Calculate 0.22*-6.
-1.32
0.42 times -24
-10.08
-198.6*20
-3972
Product of -19 and -282.
5358
-10*-0.173
1.73
444 * 3
1332
Product of 5 and -261.
-1305
Product of -0.04 and 0.16.
-0.0064
5 * 0.72
3.6
0.12 times 0.122
0.01464
Product of -1 and 44.
-44
What is -14 times 0.5?
-7
0.18*1.8
0.324
What is the product of 0.58 and -1.1?
-0.638
What is the product of -0.8 and 403?
-322.4
-94 times -0.4
37.6
Calculate -23.96*0.5.
-11.98
Multiply 118 and -0.16.
-18.88
-19 times -1.6
30.4
Calculate -129*-0.11.
14.19
Calculate -0.0081*-5.
0.0405
What is the product of 0.1 and 928?
92.8
Multiply -0.64 and 0.13.
-0.0832
What is 43.5 times -6?
-261
Multiply 8 and 0.3926.
3.1408
0.3 * 0.02
0.006
What is the product of -22.9 and -1?
22.9
What is the product of -2.6 and -56?
145.6
-2 * 9
-18
14357 times 1
14357
-5*3.4
-17
-7*5.8
-40.6
Multiply 0.1 and -0.226.
-0.0226
Calculate 1482*0.5.
741
What is 20 times 175?
3500
2 times 44
88
-3.3*-0.23
0.759
What is the product of 0.1 and 151?
15.1
Product of -33.99 and 0.3.
-10.197
What is the product of 0.442 and -0.3?
-0.1326
1300 * -0.1
-130
Calculate -325*-5.
1625
What is the product of 132 and 8?
1056
Product of -5 and -0.04228.
0.2114
Calculate -1.8*-6.
10.8
What is the product of 0.7 and 6.32?
4.424
1.84 times -3
-5.52
What is -4 times -0.1647?
0.6588
236 * 0.1
23.6
Calculate 0*-1045.
0
Multiply -1 and -0.11.
0.11
0.084 times -1.4
-0.1176
1.01*43
43.43
3 times 146
438
What is the product of 0.32 and -0.3?
-0.096
Multiply -785 and 0.2.
-157
-1*2.28
-2.28
-0.3 * 64
-19.2
Product of -7 and 7.5.
-52.5
What is -19 times -3.8?
72.2
-39 times -3
117
-616 * 0.1
-61.6
-30 * 15
-450
-2.9 * 0.03
-0.087
13 times 13
169
-0.4 * -1.58
0.632
Work out 4.393 * 7.
30.751
Multiply 0.1 and -3.3.
-0.33
0.1 * -96
-9.6
Work out -0.07 * -189.
13.23
5.9 * -3.4
-20.06
Calculate -1286*-8.
10288
Work out -3 * -222.
666
Calculate -1555*5.
-7775
What is the product of -0.1 and -0.36?
0.036
Product of -54 and -2.
108
0.06 * 3.12
0.1872
-0.01 times -76
0.76
2373 * -2
-4746
-9*-136
1224
0.14 times -2
-0.28
-3347 times -0.04
133.88
-13.9 * -72
1000.8
0.1*0.2507
0.02507
Calculate -194*0.035.
-6.79
Calculate 0.12*-0.073.
-0.00876
-255 times -2
510
Product of 11 and -2.
-22
Product of -5 and 1.26.
-6.3
-0.2 times 0.27
-0.054
What is the product of -0.5 and -11.4?
5.7
Calculate -3*-27.
81
Calculate 0.2*-71.
-14.2
Work out -121 * 1.8.
-217.8
What is 3 times 0.1?
0.3
2*-60
-120
Multiply 0.06 and -2.458.
-0.14748
-0.1 * 13
-1.3
207 * 2
414
What is -0.3 times -23?
6.9
Product of -6 and -34.
204
Product of 9 and -0.077.
-0.693
6.2 * 7
43.4
3 * 31
93
What is the product of -9.9 and 0.5?
-4.95
Calculate 1671*0.
0
What is the product of -0.5 and -17.7?
8.85
Product of -2 and 17.
-34
-1901 times -1
1901
What is the product of -2.3 and 17?
-39.1
Work out 0.027 * 0.11.
0.00297
Work out -87 * 0.1.
-8.7
4 times 1
4
Multiply 0.36 and -0.19.
-0.0684
What is -0.01 times 23.5?
-0.235
What is the product of -7.55 and -0.06?
0.453
Calculate -0.023*140.
-3.22
Product of -0.046 and 183.
-8.418
-365 * 11
-4015
Product of -4 and -13.8.
55.2
1.2166*2
2.4332
-0.99 * 0.48
-0.4752
Multiply -7 and -0.3.
2.1
-0.44*-4.7
2.068
-205 times 0.4
-82
Multiply 0.3 and -106.
-31.8
-3*50
-150
Multiply -0.2 and 57.
-11.4
What is the product of -0.1 and -0.235?
0.0235
What is the product of 5 and -61?
-305
Calculate 0*-6.22.
0
-0.29*0.4
-0.116
What is the product of -5 and -776?
3880
What is -0.3 times -9.3?
2.79
What is -85 times 21?
-1785
6*312
1872
Multiply 0.5 and -123.
-61.5
0*808
0
Multiply 3.1 and -0.3.
-0.93
-546 times -0.3
163.8
-0.31*0.1
-0.031
3386 times -3
-10158
-59*-0.52
30.68
Work out 0 * 78.5.
0
35*-5.96
-208.6
Product of 8 and -168.
-1344
What is the product of 4 and -5.065?
-20.26
Multiply -2.7 and 4.
-10.8
Multiply 5 and 121.8.
609
-2939 * 4
-11756
What is 0.4 times -381?
-152.4
Work out -19.2 * 0.056.
-1.0752
5 times -0.021
-0.105
Multiply 5 and 0.8.
4
Multiply -0.59 and 3.8.
-2.242
Work out 0.1 * 7.1.
0.71
Calculate -0.8*0.175.
-0.14
0.4*33
13.2
26*-9
-234
Work out 0.3 * -0.03951.
-0.011853
0.3 times 2.929
0.8787
What is the product of -0.082 and -0.062?
0.005084
Calculate 3383*3.
10149
What is -0.58 times 0.3?
-0.174
Calculate -0.044*-37.
1.628
Product of 40 and -4.
-160
What is -4.2 times -10?
42
Product of -0.203 and -0.5.
0.1015
What is the product of -1.2 and 1.3?
-1.56
What is 0.0617 times -0.3?
-0.01851
-0.4 times 1129
-451.6
-1055 * -2
2110
Calculate -7*25.
-175
Calculate -167*-0.3.
50.1
What is 810 times -11?
-8910
Calculate -5.29*4.
-21.16
Work out -0.1 * -0.298.
0.0298
Multiply 97 and -1.
-97
Multiply 1017 and 5.
5085
-847 * 0.01
-8.47
What is the product of -0.5 and 2.135?
-1.0675
What is the product of -108 and 13?
-1404
Product of -0.18 and -14.
2.52
Work out 2 * -0.261.
-0.522
-15 times -0.8
12
Multiply 0 and 297.
0
What is 4.6 times -0.5?
-2.3
Wha | {
"pile_set_name": "DM Mathematics"
} |
Is u a multiple of 7?
False
Let h(s) = 2*s**2 + 132. Let l be h(0). Suppose a + l = 4*b - a, 5*a - 55 = -b. Is 35 a factor of b?
True
Let l = -15 - -17. Suppose l*w + 3*w = 350. Does 14 divide w?
True
Suppose 2006 = 6*g - 34. Suppose 3*x - 273 = -2*z, -5*z + g = -5*x - 405. Does 12 divide z?
True
Let w = -2 - -30. Suppose 3*g = -3*i - 19 + 49, w = 3*i + 2*g. Suppose -6*d - 72 = -i*d. Is 6 a factor of d?
True
Suppose -2*g - 4*z = -7 - 3, -5*z = -5*g + 100. Let x = g - 13. Suppose 4*a - o - 11 = 0, -x*a - 5*o + 37 = a. Is a a multiple of 2?
True
Suppose 2*h = -7*q + 5*q + 382, -5*h = 3*q - 953. Is h a multiple of 19?
True
Suppose 4 = -0*k - 2*k. Let l(n) = 5*n + 2. Let v be l(k). Let t = v + 12. Is t even?
True
Suppose 0*d + 4*o + 4460 = 4*d, 0 = -5*o + 25. Is d a multiple of 10?
True
Let r(z) = 11*z**2 - 4*z + 1. Let m be r(-3). Suppose -3*b + 2*h = -m, 0 = 3*b - 2*b + 3*h - 19. Is 3 a factor of b?
False
Suppose 2*q = 4*j + 968, -32*j + 2420 = 5*q - 27*j. Is q a multiple of 7?
False
Suppose -12*t = -9*t - 21. Is 2/t + (-2094)/(-21) a multiple of 50?
True
Let t(r) = 2*r + 3 + 16*r**2 - r + 2*r + 34*r**2. Is t(-1) a multiple of 10?
True
Let w = -34 - -59. Let o = w - -23. Is 8 a factor of o?
True
Let w(z) = 203*z. Let u be w(1). Suppose 5*x - 13 = -3*p + u, 6 = -2*p. Does 9 divide x?
True
Let z = 1337 + -509. Suppose 4*f = z - 188. Suppose 10*v - 5*v - f = 0. Is v a multiple of 7?
False
Suppose 0 = -i - 3*g - 76, -i - 4*g + 361 = -6*i. Let o = 167 + -189. Let n = o - i. Is n a multiple of 16?
False
Let y = -8 - -12. Let v(d) = 6*d - 1. Let m be v(1). Suppose -109 = -y*o - m. Is 13 a factor of o?
True
Let w be (-5)/(-35) - (-2)/(-14). Suppose 50 = -5*r - w. Is 7 a factor of 392/40 - 2/r?
False
Suppose 13 + 11 = -3*q. Suppose -9*s - 724 + 760 = 0. Is s/(-6)*(q - 4) a multiple of 2?
True
Suppose 99*v - 97*v - 3893 = 5*s, 3*v - 4*s - 5836 = 0. Does 36 divide v?
True
Let a(o) = -o - 3. Let h be a(-3). Is (5 + 39)/(2 + h) a multiple of 10?
False
Suppose 0 = -5*s + n + 1733, 5*s + 0*s + 2*n - 1724 = 0. Does 10 divide s?
False
Let j(u) = u**2 - 32*u - 343. Is j(49) a multiple of 10?
True
Let r = 877 + -848. Is 4 a factor of r?
False
Suppose -10*k + 111 = 21. Is 3/9 + ((-930)/k)/(-5) a multiple of 6?
False
Is 40 a factor of (1 - 17*-1)*(-51520)/(-336)?
True
Suppose 8030 = -100*n + 110*n. Is n a multiple of 73?
True
Let v(p) be the first derivative of -p**3/6 + 15*p**2/2 + 4*p - 7. Let d(k) be the first derivative of v(k). Is d(-14) a multiple of 13?
False
Is 53 a factor of (-18)/(-15)*-53*(-45)/18?
True
Let k(n) = n**3 + 8*n**2 - 4*n + 1. Suppose -a = 8*a + 63. Does 26 divide k(a)?
True
Suppose -92 = 4*v - 5*y - 976, 0 = -5*v - 5*y + 1150. Does 113 divide v?
True
Let d = 24 + -15. Let i(a) = 9*a - a**2 - d*a + 10*a + 24. Is i(10) a multiple of 7?
False
Let i(p) = -365*p + 9. Let h(k) = 182*k - 5. Let m(s) = 5*h(s) + 3*i(s). Is 14 a factor of m(-1)?
False
Let f(u) = 2*u**2 - 17*u - 6. Let i be f(-7). Let b = i + -66. Is b a multiple of 39?
False
Suppose i = -3*s - 0*s, -5*i - 28 = s. Let d = i + -24. Does 5 divide (d/(-8))/(2/8)?
True
Let i be (-112)/(-24) + (-4)/6. Let p = i + -4. Suppose p = -0*n + 3*n - 5*u - 112, -5*u - 10 = 0. Is n a multiple of 17?
True
Let o be (-224 - (-4 - -3))*-1. Let s = -150 + o. Does 22 divide s?
False
Let j(s) = 2*s**2 + 2*s + 2. Suppose -k + 4*k = -r + 9, 17 = 5*k + r. Let p = 0 - k. Does 13 divide j(p)?
True
Suppose -5*r = 16 - 6, 256 = 4*y - 4*r. Let w = y - -7. Does 35 divide w - (4 + -8)/4?
True
Let a(k) be the second derivative of -k**4/12 + k**3/2 + 4*k**2 - k. Let b be a(8). Let t = b + 76. Does 11 divide t?
True
Let q(f) = 67*f - 74. Is q(2) a multiple of 10?
True
Suppose 54*d - 47*d = 301. Is d even?
False
Let t = -29 - -47. Suppose x + 2*x = 2*o + t, 5*o + 17 = 4*x. Is x a multiple of 8?
True
Suppose 2*b = 8, -9*b = 2*z - 5*b - 198. Let g = -62 + z. Does 3 divide g?
False
Suppose 0*d = -d + 5. Let n be 5/d - 4*1. Let z(w) = -20*w. Is 15 a factor of z(n)?
True
Let z(c) = -22*c + 12*c - c + 1 - 10. Is 24 a factor of z(-3)?
True
Let v(z) = 2*z**3 - 3*z**2 - 3*z + 9. Suppose 4*u - 8*u + 16 = 0. Does 18 divide v(u)?
False
Suppose 730 = 5*i + 3*n, -5*i + 730 = 3*n - 4*n. Suppose 4*o - 3*d - 281 = 0, -4*d = -4*o - i + 430. Is o a multiple of 11?
False
Let i(o) = -o**3 - 7*o**2 + 9*o + 10. Let w be i(-8). Suppose 0 = 5*t - 42 + w. Is ((3 - 3) + t)*1 a multiple of 4?
True
Let h(y) = 583*y + 107. Does 24 divide h(4)?
False
Let g(i) be the first derivative of -i**6/60 - i**5/60 + i**4/24 - 3*i**2/2 + 8. Let a(k) be the second derivative of g(k). Is 10 a factor of a(-2)?
True
Let p = -92 + 182. Is 9 a factor of p?
True
Suppose -j - 3*j - 1424 = -5*r, -5*j + 563 = 2*r. Is r a multiple of 13?
False
Let w = 197 + -88. Let s = 113 - w. Is s a multiple of 3?
False
Suppose -m = -1, -q - 4*m + 0 = -4. Suppose q = 14*w - 3*w - 3003. Is 21 a factor of w?
True
Is 10 a factor of ((-99)/(-55))/((-3)/10) - -1003?
False
Suppose t - 2339 = -5*i, 0 = -4*i - 0*i + 3*t + 1875. Suppose -46*a + i = -42*a. Is 15 a factor of a?
False
Let a be ((-26)/6 + -2)*-3. Suppose z - a = 15. Does 34 divide z?
True
Let l be ((-41)/13 - -3) + (-5622)/(-39). Suppose -8*x + l = -7*x. Does 36 divide x?
True
Let m(y) be the third derivative of -y**6/120 + 7*y**5/60 + 2*y**3/3 - 3*y**2. Let q be m(7). Let j = q - -15. Is j a multiple of 12?
False
Let a(w) = w**3 - 26*w**2 - 70*w + 87. Is 16 a factor of a(29)?
False
Let l = -352 + 460. Is l a multiple of 7?
False
Suppose 0 = -0*w + 4*w - 20. Suppose -91 = -w*i + 59. Is 6 a factor of i?
True
Suppose -4*c + 3 = -17. Let k(n) = 6*n**2 + 3*n + n**3 + 2*n + 4*n**3 - 4 - 6*n**3. Is 23 a factor of k(c)?
True
Let p be (-1)/(-5) + 847/(-35). Let q = p - -29. Is 3 a factor of q?
False
Let g = 244 + -138. Let d be 156 + ((-3)/(-1) - 6). Let n = d - g. Is n a multiple of 10?
False
Let m = -1299 + 2198. Is 15 a factor of m?
False
Let u(s) = -6*s - 31. Let w be u(-6). Suppose -w*g - 70 = -5*i, 3*i + 2*i = 3*g + 60. Is 3 a factor of i?
True
Suppose 69*a = 64*a + 2060. Is a a multiple of 40?
False
Let p(d) = 3*d + 9. Let q be p(-5). Let a be (-50)/(-30) - 8/q. Suppose -4*u = -3*y - 209, 8*y = -u + a*y + 81. Is 21 a factor of u?
False
Let a be (-2)/(-10) - 39/(-5). Suppose 7 = a*v - 25. Does 4 divide v?
True
Let j(t) = -t + 4. Let g = 13 + -9. Let f be j(g). Suppose 0 = -3*s - f*s + 54. Is 4 a factor of s?
False
Let l be (-1)/(6/(-52))*6. Suppose c = -4*h - 137, -h - 2*c + 8 = 44. Let s = h + l. Is s a multiple of 7?
False
Let m = 2634 - 1651. Is 11 a factor of m?
False
Let u(k) = k**2 + 3*k + 5. Let a be u(-4). Let z be (-5)/15*-1*a. Suppose -d - z*c + 16 = 2*c, 5*d - c - 80 = 0. Is d a multiple of 12?
False
Suppose -5*q - 2*c = -6 - 31, -3*q - 2*c = -23. Suppose 3 = -2*v + q. Suppose v*n - 222 = -n. Is n a multiple of 19?
False
Let u be -1*0/(-1 + 0) - -14. Let h = u + 10. Does 4 divide h?
True
Suppose 2*x - 3*x = 5*c - 10, -4*c - 3*x = -8. Suppose 2*z + 5*a - c*a = 197, 5*a - 5 = 0. Does 17 divide z?
False
Let k(t) = t**3 - 2*t**2 + 2*t. Let n be k(4). Suppose -17*z = -16*z - n. Is z a multiple of 10?
True
Suppose -3*v = -2*v - 59. Let d = v - 29. Is 6 a factor of d?
True
Let u(f) = 56*f - 16. Is u(2) a multiple of 24?
True
Suppose 0 = a - 2*h - 95, a + 2*h = -h + 115. Suppose -304 = -4*y - 4*u, 0 = -3*y + 5*u + a + 157. Is y a multiple of 20?
True
Let g = 53 - 53. Suppose g*x = -8*x + 192. Does 8 divide x?
True
Let x = -324 + 226. Let a be -3*(x/(-6))/(-7). Let z = a - -13. Is 9 a factor of z?
False
Let h(v) = -v**2 - 6*v + 1. Let c be h(-5). Suppose 2*o + 160 = c*o. Suppose -o = -4*k - 0*k. Does 10 divide k?
True
Let m be (264/(-9))/(22/(-18) - -1). Let z = -79 + m. Does 19 divide z?
False
Let x = 3285 - 2967. Is x a multiple of 8?
False
Let x = -187 + 372. Suppose 8*u - 1759 = x. Is u a multiple of 27?
True
Let s(c) be the first derivative of -1/4*c**4 + 7*c + 2*c**3 - 5 + 0*c**2. Is s(6) a multiple of 7?
True
Does 61 divide (80/32)/(4/(-2 - -3306))?
False
Let n = 47 + -43. Suppose 168 = 4*u - 2*r, -r - 51 = -u + n*r. Does 2 divide u?
False
Let r be (-27)/(-45) - (-6)/(-10). Suppose -o - 3 = 5*x, -3*x = -2*o - r*x + 59. Let s = o - 2. Is s a multiple of 20?
True
Suppose 24*i - 26219 = 325. Does 79 divide i?
True
Suppose -d | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of -g**5/30 + g**2. Let s(a) = -16*a + 4. Let j(y) = -17*y + 5. Let v(f) = 4*j(f) - 5*s(f). What is z(v(r))?
-288*r**2
Let t(l) = -50*l**2 + 3*l + 10. Let q(k) = -18*k. Calculate q(t(d)).
900*d**2 - 54*d - 180
Let d(z) = -15*z**2. Let p(n) = -14*n**2 + 10*n - 5. Let c(w) = -119*w**2 + 84*w - 42. Let q(j) = -5*c(j) + 42*p(j). What is d(q(u))?
-735*u**4
Let y(p) be the second derivative of 3*p**4/4 + 110*p. Let l(o) = 11*o. Give y(l(g)).
1089*g**2
Let m(z) = 51*z**2. Let x(s) = 10*s + 5. Give m(x(c)).
5100*c**2 + 5100*c + 1275
Let w(j) be the third derivative of j**5/60 + 2*j**2 + 6*j. Let y(k) = -93*k. What is y(w(a))?
-93*a**2
Suppose 0 = 3*o - 10 + 1. Suppose x - o*n + 2 = 0, -4*x - n - 4*n + 26 = 0. Let j(f) = -2*f - 3*f - 2*f + x*f. Let k(a) = 4*a. Calculate k(j(b)).
-12*b
Let x(r) be the first derivative of -r**3/3 - 11*r**2/2 - 13*r + 2. Let j be x(-9). Let o(t) = t - j*t + 0*t. Let w(d) = 2*d. Calculate o(w(h)).
-8*h
Let q(u) = -50*u**2 - 22. Let y(l) = 16*l. Determine q(y(j)).
-12800*j**2 - 22
Let j(v) = v**2 + 1. Let o(d) = 9*d**2 + 6. Let x(s) = -6*j(s) + o(s). Suppose -4*q - 3*q = -21. Let t(h) = 6*h - q + 3 - 4*h. Give x(t(a)).
12*a**2
Let w(m) = m - 3332. Let g(c) = 64*c**2. Calculate w(g(k)).
64*k**2 - 3332
Let c(n) = 31*n + 178. Let m(o) = 2*o. Give m(c(j)).
62*j + 356
Let r(n) = 0 + 0*n + 3*n - n + 0. Let s(y) = 11*y**2 + y. Determine r(s(j)).
22*j**2 + 2*j
Let u(n) = -4*n - 2*n - 2*n + 10*n. Let i(s) be the second derivative of -s**4/12 - 37*s. Determine i(u(z)).
-4*z**2
Let o(g) = 2*g**2. Suppose 5*j - 20 = 2*m - 4*m, 4*j - 16 = 4*m. Suppose -2*c = -j*c + h + 98, -c + 63 = 3*h. Let z(b) = 7*b - c + 51. Give z(o(x)).
14*x**2
Let w(g) = 27*g. Let z(a) be the second derivative of a**5/60 + 2*a**2 + 15*a. Let q(v) be the first derivative of z(v). What is w(q(l))?
27*l**2
Let f(j) be the second derivative of j**3/2 + 16*j. Let h(s) = 2*s - s - 4*s - s. Calculate h(f(x)).
-12*x
Let a(b) = 4*b. Let t(p) = -3*p**2 + 2*p + 19. Determine a(t(q)).
-12*q**2 + 8*q + 76
Let f(x) = -2*x**2 + 309*x. Let y(k) = 315*k. Calculate y(f(g)).
-630*g**2 + 97335*g
Suppose 5*a + 8 = 43. Let y(j) = -8*j**2 + 2*j**2 + a*j**2 + 6*j**2. Let m(h) = -4*h**2. Determine m(y(v)).
-196*v**4
Let h(c) = -44*c. Let v(m) = 1235*m. Calculate h(v(n)).
-54340*n
Let s(l) = 11*l - 10*l + 2*l + 0*l. Let f(q) be the third derivative of -4*q**5/15 + q**2. Calculate s(f(c)).
-48*c**2
Let o(y) be the second derivative of -y**4/12 + 5*y - 3. Let w(c) be the third derivative of 9*c**5/20 - 3*c**2. Give o(w(k)).
-729*k**4
Let j(l) be the first derivative of -l**3 - 1. Suppose -4*d = 5*p + d - 20, -2*p + 3*d = 2. Let v(y) = 6*y**2 - 7*y**2 - 2*y**p. Give j(v(t)).
-27*t**4
Let v(a) = 190*a**2. Let f(k) = -9*k**2 + 4*k. What is f(v(m))?
-324900*m**4 + 760*m**2
Let a(c) = 243*c. Let g(w) = -263*w - 15. Calculate g(a(o)).
-63909*o - 15
Let f(p) = 5*p**2. Let h(d) be the first derivative of 163*d**2 - 80*d**2 + 10 - 87*d**2. Give f(h(b)).
320*b**2
Let p(o) = -439*o**2 - 4. Let m(l) = 1318*l**2 + 11. Let d(s) = 4*m(s) + 11*p(s). Let g(w) = -2*w**2. Calculate d(g(b)).
1772*b**4
Let r(k) = 400836*k. Let n(q) = -2*q**2. Determine r(n(g)).
-801672*g**2
Let b(i) = 6*i - 3. Let z(v) = -v + 1. Suppose -3*m = -5*m - 6. Let o(l) = m*z(l) - b(l). Let f(w) = -6*w. Determine f(o(u)).
18*u
Let z(d) = 94512*d. Let p(a) = 2*a. Determine z(p(o)).
189024*o
Let j(a) = -31*a**2 + 8*a - 95*a + 79*a + 13*a. Let n(i) = -i**2. Give n(j(v)).
-961*v**4 + 310*v**3 - 25*v**2
Let m(p) = 3*p**2 + 2. Let w(v) = 16*v**2 + 11. Let y(n) = 22*m(n) - 4*w(n). Let g(b) = -158 + 78 + 25*b + 80. Give y(g(f)).
1250*f**2
Let h(o) = -6*o + 4*o + o + 14*o + 27*o. Let s(u) = -4*u. Calculate h(s(d)).
-160*d
Let p(a) = -2*a**2. Let v(z) = -z + 7*z + 0*z - 6*z - 1443*z**2. What is p(v(g))?
-4164498*g**4
Let y(j) be the third derivative of j**5/20 + j**4/12 + 105*j**2. Let w(o) = -4*o - 3. Let p(f) = -f - 1. Let m(q) = -3*p(q) + w(q). What is m(y(x))?
-3*x**2 - 2*x
Let q(r) = 6*r. Let w(f) = f**3 - 11*f**2 + f - 5. Let s be w(11). Let j(x) = 3*x - s*x + x. Determine q(j(y)).
-12*y
Let b(y) = 513958*y. Let i(l) = 2*l**2. What is b(i(f))?
1027916*f**2
Let v(b) = -3*b. Suppose 0*f = f - 23. Let y(z) = 12*z**2 + 14*z**2 - f*z**2. Determine v(y(i)).
-9*i**2
Let p(y) be the third derivative of 3*y**5/20 + 10*y**2 - 1. Let f(h) = 2 - 245*h**2 + 239*h**2 - 2. Calculate f(p(j)).
-486*j**4
Let o(x) = x**2 + 50*x. Let t(g) = 26*g + 6. Let h(w) = -48*w - 11. Let i(u) = 6*h(u) + 11*t(u). What is o(i(p))?
4*p**2 - 100*p
Let w = -7 + 5. Let t be 3/w*4/(-3). Let a(g) = g + t*g - 5*g. Let i(x) = 2*x. Determine i(a(z)).
-4*z
Let b(x) be the first derivative of -x**6/360 - 20*x**3/3 + 15. Let c(g) be the third derivative of b(g). Let h(r) = 3*r. Determine c(h(f)).
-9*f**2
Let d(k) = -27*k. Let n(w) = w**2 - w - 65. What is d(n(y))?
-27*y**2 + 27*y + 1755
Let n(j) = -142317*j**2 + 3012. Let s(i) = -757*i**2 + 16. Let b(w) = 4*n(w) - 753*s(w). Let p(h) = -3*h. Calculate p(b(x)).
-2259*x**2
Let r(i) = -3*i - 3848. Let x(b) = 2*b. Give r(x(w)).
-6*w - 3848
Let h(f) be the second derivative of 0*f**2 + 0 - 1/3*f**3 + 2*f. Let d(t) = 13*t**2 + 6*t**2 - 26*t**2 + 5*t**2 + 6*t**2. Determine h(d(o)).
-8*o**2
Let r(l) = l**2. Let f(z) = 163817*z. Give r(f(u)).
26836009489*u**2
Let t(z) = 4073*z. Let a(g) = 9*g. Determine a(t(w)).
36657*w
Let v(f) = 17*f. Let c(p) = 3*p**2 + 4*p + 12. Let o(d) = -3*d**2 - 6*d - 18. Let x(h) = -6*c(h) - 4*o(h). Calculate v(x(l)).
-102*l**2
Let g(b) = -3*b + 7522. Let w(z) = 4*z**2. What is w(g(p))?
36*p**2 - 180528*p + 226321936
Let s(h) = 2*h + 4*h - 7*h. Suppose -4*d + 2 + 6 = 0. Let m(y) = 7*y**2 + 4*y**d + 0*y**2 + 17*y**2. Calculate s(m(o)).
-28*o**2
Let b(w) = w**2 - 12*w + 8. Let c(n) = 9*n - 6. Let f(k) = -3*b(k) - 4*c(k). Let t(z) = 8*z + 36. What is t(f(l))?
-24*l**2 + 36
Let u(f) be the second derivative of -f**4/4 - 156*f - 1. Let p(d) = -5*d**2 - 2 + 7*d**2 + 2. What is u(p(a))?
-12*a**4
Let u(z) = z. Let h = -49 - -82. Let j(d) = 69*d**2 - h*d**2 - 38*d**2 - 17. Calculate u(j(g)).
-2*g**2 - 17
Let w(y) = 22*y**2. Let l(v) = 155845*v. Give w(l(g)).
534328608550*g**2
Let o(v) = -27*v + 0 + 5 - 5. Let w(q) = q**2 - q + 1. Let k(u) = -8*u**2 + 9*u - 9. Let z(f) = -2*k(f) - 18*w(f). Calculate o(z(j)).
54*j**2
Let q(z) be the third derivative of -z**8/10080 - z**5/5 - 15*z**2. Let m(t) be the third derivative of q(t). Let x(o) = -o. Determine m(x(n)).
-2*n**2
Let w(k) = 30*k. Let b(p) = 153 - 10*p - 153. Let d(r) = -10*b(r) - 3*w(r). Let z(m) = -6*m**2. Determine d(z(h)).
-60*h**2
Let j(d) = 5*d**2 + 17*d. Let f(b) = -11*b - b - b + 6*b + 5*b. Determine f(j(u)).
-10*u**2 - 34*u
Let b(o) = -70382*o. Let x(g) = 27*g**2. Give b(x(i)).
-1900314*i**2
Let b(n) = n. Let i(s) = 82158*s**2. Give i(b(f)).
82158*f**2
Let r(y) = -18*y**2 + y**2 + 2*y**2 - 10*y**2. Let i(u) be the second derivative of -u**3/3 - 5*u. What is i(r(n))?
50*n**2
Let j(a) = -21*a + 69. Let w(o) = 61*o. Calculate w(j(g)).
-1281*g + 4209
Let f(x) = 2*x**2. Suppose -3*d - 5*p = -6, 3*d - 3*p + 0 - 6 = 0. Let k(l) be the first derivative of 0*l - 3 - 1/2*l**d. What is k(f(w))?
-2*w**2
Let l(b) = b**2. Let h be 8534/2040 + (-8)/6*3. Let x(z) be the third derivative of 0*z**4 + h*z**5 + 0*z - 12*z**2 + 0 + 0*z**3. Determine x(l(n)).
11*n**4
Let q(r) = 23*r. Let k(p) be the second derivative of -p**4/6 + 118*p. Determine q(k(u)).
-46*u**2
Let z(w) be the second derivative of -39*w**4/4 - 5*w - 2. Let m(f) = -3*f**2. Give z(m(g)).
-1053*g**4
Let t(d) = 16*d**2. Let s(n) = n - 2. Let f(g) = -6*g - 2. Let w(a) = -f(a) + s(a). Determine t(w(b)).
784*b**2
Let p(w) = 18*w. Let c(r) = 148*r + 144*r - 292*r + 12*r**2. Give p(c(m)).
216*m**2
Let h(s) = -2*s. Let i(v) = -2*v + 52209. What is i(h(q))?
4*q + 52209
Let i(c) = 1 + 39*c**2 + 84*c**2 + 128*c**2 + 215*c**2. Let h(f) = -f. Determine i(h(b)).
466*b**2 + 1
Let m(j) = 89*j**2 - 322*j**2 + 86*j**2 + 63*j**2. Let h(d) = -2*d. Calculate h(m(y)).
168*y**2
Let q(i) = i**2 + i + 14. Let p(m) = 83*m**2. Give q(p(b)).
6889*b**4 + 83*b**2 + 14
Let j(l) be the second derivative of l**5/60 + 23*l**3/6 + l. Let n(f) be the second derivative of j(f). Let b(q) = -9*q. Determine b(n(m)).
-18*m
Let b(w) = -175 | {
"pile_set_name": "DM Mathematics"
} |
he terms in 89*v + 83*v + 60994*v**3 - 161*v.
60994*v**3 + 11*v
Collect the terms in 2043*z**2 + 2325*z**2 - 1255*z**2.
3113*z**2
Collect the terms in 70*i**2 + 115*i**2 + 0*i + 2 + i - 16*i**2 - i.
169*i**2 + 2
Collect the terms in 1380*q**2 - 1375*q**2 - 613 + 843 - 115 - 115.
5*q**2
Collect the terms in -1 + 1 + 38016*b + 37740*b - 76106*b.
-350*b
Collect the terms in -638473741*d**2 - 2 + 319236874*d**2 + 319236872*d**2 + 2.
5*d**2
Collect the terms in 614*o + 357*o**2 - 614*o - 174*o**2.
183*o**2
Collect the terms in 367823426*a - 8*a**3 - 183911713*a - 183911713*a.
-8*a**3
Collect the terms in -1525*q**3 + 409*q**3 - 1500*q**3 + 2595*q**3.
-21*q**3
Collect the terms in -2 - 5 - 12 + 7411885*r**2 - 7411883*r**2.
2*r**2 - 19
Collect the terms in -15123308 - 6963046 + 4281759 + t**3.
t**3 - 17804595
Collect the terms in -8*c - 3977 - 8729 - 4905 - 19*c**2 + 9*c.
-19*c**2 + c - 17611
Collect the terms in 4*n**3 - 4250604745 + 4250604745.
4*n**3
Collect the terms in -12641 + 5*n**2 - 4*n**2 + 15234.
n**2 + 2593
Collect the terms in 4865*z**3 + 2*z**2 + 869*z**3 - 64060*z**3.
-58326*z**3 + 2*z**2
Collect the terms in 58776*n - 29395*n - 40*n**2 - 29378*n.
-40*n**2 + 3*n
Collect the terms in 15*s**2 + 95100*s - 190202*s + 95110*s.
15*s**2 + 8*s
Collect the terms in -277*i**2 + 20835*i - 20835*i.
-277*i**2
Collect the terms in -h + 2*h + 589420*h**3 + 170939*h**3.
760359*h**3 + h
Collect the terms in 23182*o**2 + 20 - 23409*o**2 + 23 - 43.
-227*o**2
Collect the terms in -2064437*x - 10 + 10.
-2064437*x
Collect the terms in 2 - 58*y**2 - 10 + 15 + 3 + 53*y**2 - 10.
-5*y**2
Collect the terms in 8 - 369*c - 9 + 710*c - 292*c.
49*c - 1
Collect the terms in -302*c - 90 - 377*c + 682*c.
3*c - 90
Collect the terms in 549064 + 41*m**2 - 549064.
41*m**2
Collect the terms in -4209 - 5*p + 1173 - 2692.
-5*p - 5728
Collect the terms in 270*y**2 + 2*y**3 - 945*y**2 + 661*y**2.
2*y**3 - 14*y**2
Collect the terms in -11*y**3 + 30*y**3 + 3*y**2 - 3565134 + 44*y**3 - 3*y**2 + 3565133.
63*y**3 - 1
Collect the terms in -220014*y**3 - 181706*y**3 - 92 + 2*y + 92.
-401720*y**3 + 2*y
Collect the terms in -10*q**2 + q**2 + 55*q**3 + 72*q**3 - 109*q**3 - q**2 - 5*q**2.
18*q**3 - 15*q**2
Collect the terms in 87765*z**3 - 1122914*z + 1122914*z.
87765*z**3
Collect the terms in -182 - 4314*q + 182 + 9301*q - 4987*q + q**2.
q**2
Collect the terms in 16*w**2 + 12*w - 40*w**2 + 12*w**2 + 44*w**2.
32*w**2 + 12*w
Collect the terms in -255*v**3 - 22*v**2 - 245*v**3 + 4*v**2 + 512*v**3 + 18*v**2.
12*v**3
Collect the terms in 393*d + 68 - 1090*d + 170 + 354*d + 344*d.
d + 238
Collect the terms in 553334*k**3 - 612610*k**2 + 612610*k**2.
553334*k**3
Collect the terms in -2718*v**3 - 1728*v**3 - 5807*v**3 - 1312*v**3.
-11565*v**3
Collect the terms in 321*s**3 - 3153558 + 3153558.
321*s**3
Collect the terms in 82707*v - 164699*v + 81991*v.
-v
Collect the terms in 32*w + 2*w**3 - 13*w - 19*w - 1460*w**2 - 2315*w**2 + 160*w**2.
2*w**3 - 3615*w**2
Collect the terms in 11198*o**2 + 11211*o**2 - 22416*o**2 + 2 + 3.
-7*o**2 + 5
Collect the terms in 7793*s**2 + 53665*s**2 - 3964*s**2.
57494*s**2
Collect the terms in 3645352134738280*x**2 + 2*x**3 - 3645352134738280*x**2.
2*x**3
Collect the terms in 670*v + 675*v - 2 + 749*v - 2055*v.
39*v - 2
Collect the terms in 1853684*o + 1853578*o - 3707278*o.
-16*o
Collect the terms in -4*i + 1765185*i**3 + 4*i.
1765185*i**3
Collect the terms in -85712*d - 24146*d - 41795*d.
-151653*d
Collect the terms in -78*n**3 + 135*n**3 - 133*n**3 - 289*n**3 - 47*n**3.
-412*n**3
Collect the terms in -3*p**2 + 1105 - 1105 + 591401864*p - 591401864*p.
-3*p**2
Collect the terms in 36*z**2 - 57*z**2 + 0*z + 0*z + 44*z**2 - 32*z**2.
-9*z**2
Collect the terms in -g**2 + 11*g**2 - 480403597*g + 480403594*g.
10*g**2 - 3*g
Collect the terms in -605*l**2 - 604*l**2 - 602*l**2 - 601*l**2 + 2428*l**2.
16*l**2
Collect the terms in 652 + 658 - 2609 + 649 + 650 - 7*h + 9*h.
2*h
Collect the terms in 35*c + 31*c + 294*c - 1230*c + 132*c + 109*c.
-629*c
Collect the terms in 255586*v - 1 + 143250*v + 1.
398836*v
Collect the terms in -38465003706 + 38465003706 + 24*a.
24*a
Collect the terms in -1 + 4 + 1 - 4 - 60376*d**2.
-60376*d**2
Collect the terms in -4 - 6 - 30 + 764*u - 78.
764*u - 118
Collect the terms in -10*v**3 + 17 - 19 + 17 - 13*v**3 - 15.
-23*v**3
Collect the terms in 10752 + 10061 - 20813 + 4*h**3.
4*h**3
Collect the terms in 9919*n**2 - 3 + 3 - 381616*n**2.
-371697*n**2
Collect the terms in c**2 + 10*c**2 + 343041 - 343041 + c**2.
12*c**2
Collect the terms in -18*p + 12439 - 10*p + 24*p.
-4*p + 12439
Collect the terms in -5*h**2 - 4998 - 17*h**2 + 3*h + 0*h**2 - 5002 + 9980.
-22*h**2 + 3*h - 20
Collect the terms in 25377*u - 8463*u - 8448*u + 6968*u**3 - 8466*u.
6968*u**3
Collect the terms in 65 + 409*y**2 - 187*y**2 - 65 + 10*y + 6*y.
222*y**2 + 16*y
Collect the terms in -47281454 + 47281452 + 49*z**2 + 8*z**2.
57*z**2 - 2
Collect the terms in 407*t - 9*t**2 - 267*t - 140*t + 47*t**2.
38*t**2
Collect the terms in 382584*z - 765180*z - 25 + 382593*z + 3.
-3*z - 22
Collect the terms in -1921*i - 91 - 98 + 3621*i + 189.
1700*i
Collect the terms in -723 - 21*c - 1647 - 4*c**3 + 2370.
-4*c**3 - 21*c
Collect the terms in -51*k - 9414*k**3 + 4692*k**3 - 55*k + 4716*k**3 + 106*k.
-6*k**3
Collect the terms in -4*v**2 - 874*v**3 - v**2 + 845*v**3.
-29*v**3 - 5*v**2
Collect the terms in -31*g**3 - 31*g**2 + 34*g**2 + 379*g**3.
348*g**3 + 3*g**2
Collect the terms in 44065*l - 11010*l - 11001*l - 11013*l - 2 + 2 - 11039*l.
2*l
Collect the terms in 3*p - 2*p + 8487 + p + 0*p + 12415.
2*p + 20902
Collect the terms in -c**3 - 7274 - 3154 - 7951 + 2948.
-c**3 - 15431
Collect the terms in 0 - 1 + 4844*c**2 - 2554*c**2 + 1 - 2280*c**2.
10*c**2
Collect the terms in 1105 + 1095 + 1100 - 2399*f - 3300.
-2399*f
Collect the terms in -10*t**2 + 12*t**3 + 3*t**3 + 104061*t - 104061*t.
15*t**3 - 10*t**2
Collect the terms in 0*w**2 + 4*w**2 - 8 - 317 + 337.
4*w**2 + 12
Collect the terms in -27651 + 4*b + 14484 + 13725.
4*b + 558
Collect the terms in -63698957694 - 2*w + 2*w + 11*w**2 + 63698957694.
11*w**2
Collect the terms in -962984*l**3 + 60*l - 60*l - 1515119*l**3.
-2478103*l**3
Collect the terms in -7400*m - 7409*m - 7417*m + 60*m**3 + 22216*m.
60*m**3 - 10*m
Collect the terms in 2 + 85819*k**2 - 28653*k**2 - 28532*k**2 - 28634*k**2 + 4*k**3 - 2.
4*k**3
Collect the terms in -5790261*w**2 + 8 - 5790273*w**2 + 11580525*w**2.
-9*w**2 + 8
Collect the terms in -415*c + 1187*c - 409*c - 385*c + 2.
-22*c + 2
Collect the terms in -168*f**2 - 268 - 1762*f**2 + 131 + 137.
-1930*f**2
Collect the terms in 733*x**3 + 419*x**3 - 14*x**2 + x**2 + 13*x**2.
1152*x**3
Collect the terms in 1192422064948 + 158*z**3 - 1192422064948.
158*z**3
Collect the terms in 87*c - 165*c + 3*c**3 + 123*c + 0*c**3 + 0*c**2 + 2*c**2.
3*c**3 + 2*c**2 + 45*c
Collect the terms in 227727*k**2 + 170671*k**2 + 0*k**3 - 2*k**3 + 44329*k**2.
-2*k**3 + 442727*k**2
Collect the terms in 48*b**2 - 73*b**2 + 76*b**2 + 2.
51*b**2 + 2
Collect the terms in 1354*f + 20*f + 5191*f**3 - 5189*f**3.
2*f**3 + 1374*f
Collect the terms in 5293*f + 366*f**2 - 699*f - 370*f**2.
-4*f**2 + 4594*f
Collect the terms in -42*a - 20*a - 31*a - 33*a + 12*a - 13*a.
-127*a
Collect the terms in -4567*h**3 - 12078*h + 12078*h.
-4567*h**3
Collect the terms in 37*i - 688832908024 + 688832908024.
37*i
Collect the terms in -919715*q - 2*q**3 + 919715*q + 29*q**2.
-2*q**3 + 29*q**2
Collect the terms in 137694*z**3 - 68707*z**3 - 68989*z**3.
-2*z**3
Collect the terms in 24*z**3 + 33*z**3 - 86*z**3 + 3*z**3 - z**3 + 20*z**3.
-7*z**3
Collect the terms in -904248*n**2 + 1806756*n**2 - 902507*n**2.
n**2
Collect the terms in -780 - 3364 - a - 2687 - 564 + 1597.
-a - 5798
Collect the terms in -24*y**2 - 105495 + 52740 + 52755.
-24*y**2
Collect the terms in 4*q + 38 + 90 - 11*q + 3*q.
-4*q + 128
Collect the terms in 2*i**2 - 13 + 139*i + 21 - 33 + 11.
2*i**2 + 139*i - 14
Collect the terms in -266*r - 34470 + 34470.
-266*r
Collect the terms in -3056 + 0*k + 1520 - 2653 - 4*k + 2*k.
-2*k - 4189
Collect the terms in 63*q - 29*q - 200287*q**3 - 34*q.
-200287*q**3
Collect the terms in 7*m**3 + 6544 + 6539 - 12978 + 5*m**2 - 3*m**2.
7*m**3 + 2*m**2 + 105
Collect the terms in - | {
"pile_set_name": "DM Mathematics"
} |
) - 10*t(s). Let v(w) be the first derivative of -2*w**3/3 - 1. Give v(i(z)).
-50*z**2
Let u(g) = 5*g. Let a(j) be the second derivative of 38*j**3/3 - j**2/2 + 140*j. Determine a(u(d)).
380*d - 1
Let v = -719 - -721. Let c(b) be the third derivative of 0 - 5*b**v + 0*b**4 - 1/30*b**5 + 0*b + 0*b**3. Let u(m) = 18*m**2. Give c(u(j)).
-648*j**4
Let i(g) = -5*g**2. Let z(d) = -8769*d. Calculate z(i(m)).
43845*m**2
Let f(d) be the first derivative of -461*d**2/2 + 574. Let z(b) = 2*b. Give z(f(y)).
-922*y
Let t(o) be the second derivative of -o**4/12 + 9*o. Let x(w) be the third derivative of -1/6*w**4 + 0 + 0*w**3 - 3*w**2 + 0*w. Give t(x(y)).
-16*y**2
Let r(j) = -12*j**2 + 3*j. Let t(i) = 144*i**2 + 45*i - 405. Let g(b) = 13*b**2 + 4*b - 36. Let w(v) = 45*g(v) - 4*t(v). Determine w(r(a)).
1296*a**4 - 648*a**3 + 81*a**2
Let f(h) = -67*h**2 - 10*h**2 + 139*h**2. Let t(d) = 8*d**2. Determine t(f(l)).
30752*l**4
Let d(q) = q**2. Let m(c) be the first derivative of 0*c + 0*c**2 - 2 + 19/3*c**3. Determine d(m(t)).
361*t**4
Let x(p) = -4*p**2. Let l be (-2)/(-7) + 1298/14. Let m(o) = -o**2 + 2*o + 26. Let d be m(-4). Let r(g) = 90*g**2 + g - l*g**d - g. What is x(r(s))?
-36*s**4
Let b(p) = -10*p. Let f be 31 + (-6)/3 + 1. Let a(s) = -f + s + 30. What is a(b(d))?
-10*d
Let z(j) be the third derivative of -j**5/15 - 11*j**4/24 - 100*j**2 - 4*j. Let l(y) = -5*y**2. Calculate l(z(b)).
-80*b**4 - 440*b**3 - 605*b**2
Let a(k) = k**2. Let u be 952/153 - (-2)/18. Let j(f) be the first derivative of 0*f - 3 - u*f**3 + 0*f**2. Give a(j(q)).
361*q**4
Let u(i) = -2*i. Suppose -3*j = -j. Let h(g) = 6*g + 2*g + g + j*g. Determine h(u(k)).
-18*k
Let x(p) = 4*p + 12*p + 0*p - 2*p. Let v(t) = 7*t**2 + 5*t - 5. Let y(n) = -3*n**2 - 2*n + 2. Let h(w) = 2*v(w) + 5*y(w). Determine x(h(a)).
-14*a**2
Let d(w) = 578*w + 238. Let k(i) = -29*i - 12. Let o(n) = 6*d(n) + 119*k(n). Let b(r) = 22*r. Calculate b(o(c)).
374*c
Let h(a) = 1455*a. Let i(m) = -11*m**2. What is i(h(c))?
-23287275*c**2
Let f(n) = 43*n**2 - 2*n. Let y(c) be the third derivative of c**5/30 - 4*c**2 - 13*c. What is f(y(l))?
172*l**4 - 4*l**2
Let k(l) = 15*l. Let m(c) = -406*c**2 - 58*c - 203. Let r(w) = -29*w**2 - 4*w - 14. Let q(j) = 4*m(j) - 58*r(j). What is q(k(h))?
13050*h**2
Let c(l) = 29*l. Let i(q) = -q**2 + 3*q. What is c(i(a))?
-29*a**2 + 87*a
Let u(v) = 0*v - 565 - 65*v + 563. Let c(m) = -3*m. Calculate c(u(w)).
195*w + 6
Let h(i) = -4*i - 40. Let q(b) = -7*b + 4. Let x(k) = 19*k - 11. Let o(j) = -11*q(j) - 4*x(j). Calculate h(o(y)).
-4*y - 40
Let y(p) be the first derivative of 4*p**3/3 - 27. Let x(f) = 14*f. Calculate x(y(m)).
56*m**2
Let i(k) = 199*k. Let y(p) be the third derivative of -p**5/60 - 2*p**2 - 162. Determine i(y(b)).
-199*b**2
Let r be -2 + (-1)/((-4)/28). Let j(m) = -r + 4 + 1 - 6*m. Let k(y) = 2*y. Calculate j(k(g)).
-12*g
Let a(f) = -361267*f**2. Let z(r) = -3*r**2. Give z(a(t)).
-391541535867*t**4
Let y(c) be the third derivative of c**8/10080 - 3*c**5/20 + 13*c**2. Let z(d) be the third derivative of y(d). Let x(l) = 3*l**2. Calculate z(x(n)).
18*n**4
Let r(m) = -55*m + 25. Let j(g) = 9*g - 4. Let l(s) = 25*j(s) + 4*r(s). Let v(z) = 33*z**2. What is l(v(f))?
165*f**2
Let v(n) = -277*n - 2. Let t(l) = -2*l - 513. Determine v(t(d)).
554*d + 142099
Let r(s) = 725*s**2. Let t(n) = -118*n**2. Give t(r(x)).
-62023750*x**4
Let p(o) = 3*o**2. Suppose g + 2*c = 4*c + 9, 2*g - 3*c - 15 = 0. Suppose 0 = -y - 4 + 1, 0 = g*f - 4*y - 24. Let v(d) = f*d - 4*d + d. Determine p(v(m)).
3*m**2
Let n(o) = -14954*o**2. Let a(m) = -m. Give n(a(z)).
-14954*z**2
Let r(m) = -5*m**2 + 3*m. Let d(n) = -1161*n. Calculate r(d(o)).
-6739605*o**2 - 3483*o
Let q = 14 + -12. Let s(l) = -64*l**2 - 39*l**2 + 23*l**q. Let j(i) = i. Determine j(s(g)).
-80*g**2
Let j(w) = -66*w**2 - 2*w + 12*w - 9*w. Let s(c) = -4*c. Calculate s(j(q)).
264*q**2 - 4*q
Let o(p) = -20*p**2. Let n(z) = -z**2 + 24*z. Let s(h) = 2*h**2 - 52*h. Let f(j) = -13*n(j) - 6*s(j). What is f(o(c))?
400*c**4
Let i(m) = m**2. Let y be 0 + 1 + (8 - 7). Let l(b) be the first derivative of -y*b**2 - 140*b + 2 + 140*b. Calculate l(i(v)).
-4*v**2
Let j(h) = -12474*h + 1. Let l(v) = -23*v + 1. What is j(l(i))?
286902*i - 12473
Let q(n) = -n. Suppose 11 = 4*y - 5. Suppose y*v = -3*i + 4, -2*i + 2*v + 31 = -v. Let p(a) = -10 - 4*a**2 + 18 - i. Determine q(p(l)).
4*l**2
Let z(i) be the first derivative of 2*i**3 + 20. Let j(f) = 2*f. What is j(z(q))?
12*q**2
Let g(h) = 8*h. Let j be -86*(2 - 65/10). Suppose 18 = 3*r - 4*s, 0 = -2*r - 2*s - 4 + 2. Let y(w) = j - 387 - r*w**2. Give y(g(m)).
-128*m**2
Let q(z) = 56*z - 11. Let m(d) = 29*d - 6. Let w(s) = 11*m(s) - 6*q(s). Let v(j) = j. Let b(n) = 8*n. Let x(f) = -4*b(f) + 36*v(f). What is w(x(i))?
-68*i
Let n(l) = 32*l**2. Let p(z) = 4577*z. Give p(n(i)).
146464*i**2
Let m(u) = 2*u. Let x(y) = -102*y**2 + 4*y**2 - 238*y**2. Determine m(x(t)).
-672*t**2
Let g(h) = 2409*h**2. Let i(v) = 5*v. Give i(g(w)).
12045*w**2
Let d(y) = 4558*y**2. Let z(k) = 3*k + 1. Determine d(z(l)).
41022*l**2 + 27348*l + 4558
Let b(c) = -4*c + 46. Let k be b(11). Suppose 18 = -u + 4*z, 3*z + 2*z = -3*u + 31. Let l(s) = -2 - k*s + u. Let r(v) = -8*v**2. Give r(l(f)).
-32*f**2
Let h(r) = -8*r**2. Let n(m) = m + 63. Let z(x) = 2*x + 99. Let c(s) = -5*n(s) + 3*z(s). Give h(c(v)).
-8*v**2 + 288*v - 2592
Let r(z) = 2*z + 3. Let q(h) = 8*h + 10. Let n(g) = 3*q(g) - 10*r(g). Let o(m) = 4*m**2. Give n(o(t)).
16*t**2
Let v(l) = -22*l. Let b(a) = 226*a**2 - 3*a + 3. What is b(v(m))?
109384*m**2 + 66*m + 3
Let b(v) = 6*v. Let h(f) = -6*f + 8. Let p be -5*3/(-1 + 2*-2). Let l(q) = 2*q - 3. Let k(r) = p*h(r) + 8*l(r). Give k(b(n)).
-12*n
Let s(w) = -15*w**2. Let q(k) = 1429*k**2. Determine s(q(a)).
-30630615*a**4
Let g(j) = -3*j + 11*j - 3*j - 4*j. Let n(h) = -22*h**2. Determine g(n(y)).
-22*y**2
Let i(o) = 7*o. Let p(r) = 20*r. Let c(f) = -17*i(f) + 6*p(f). Let z(h) be the third derivative of -7*h**4/24 + h**3/6 - 15*h**2 - 4. Give z(c(y)).
-7*y + 1
Let a(l) = -22*l - 24*l + 49*l. Let c(h) be the first derivative of h**3/3 - 16. What is c(a(z))?
9*z**2
Let u(d) = -41*d**2. Let f(q) = 3739*q**2. Determine f(u(j)).
6285259*j**4
Let k(p) be the second derivative of -p**4/12 + 3*p. Let j(d) = -4*d**2 + 2*d. Let w(v) = -v. Let i(x) = -j(x) - 2*w(x). Give k(i(z)).
-16*z**4
Let h(m) = -50*m**2. Let f(j) = 63*j + 216. Let i(a) = a + 4. Let p(y) = -f(y) + 54*i(y). Give h(p(l)).
-4050*l**2
Let u(o) = o**2 - 31*o + 30. Let v be u(1). Let x(l) be the third derivative of 10*l**2 + 0*l**3 + 0*l + 1/12*l**4 + v. Let f(k) = -k. Give f(x(c)).
-2*c
Let f(h) = 8663817*h. Let v(d) = -2*d**2. Give v(f(l)).
-150123450018978*l**2
Let p(i) be the second derivative of -i**3/3 - 17*i**2/2 + 38*i. Let z(f) = -f**2. Determine p(z(d)).
2*d**2 - 17
Let g(a) = -25*a**2. Let u(z) = -88 + 168 + 4*z**2 - 80. Determine g(u(w)).
-400*w**4
Let q(g) = g**2. Let n(z) = 1. Let s(r) = -r - 3. Let b(l) = 2*n(l) + s(l). Let t(u) = -21*u**2 + 3*u + 3. Let h(o) = 3*b(o) + t(o). Give q(h(p)).
441*p**4
Let w(u) = 19*u - 4. Let y(n) = -256*n**2 + 4*n. Give w(y(m)).
-4864*m**2 + 76*m - 4
Let t(z) be the third derivative of z**4/24 - 63*z**2. Let f(o) = 80*o. Determine t(f(j)).
80*j
Let y(v) be the first derivative of -4*v**3 + 167. Let r(x) = 8*x. What is r(y(c))?
-96*c**2
Suppose -21 + 11 = -5*s. Let z(a) = a**s - a**2 - 2*a**2 + 6*a**2. Let n(v) = -7*v. What is n(z(f))?
-28*f**2
Let f(p) = -9*p. Let g(v) = 3609*v**2. Determine g(f(u)).
292329*u**2
Let s(f) = 3*f. Let g(p) = -887*p**2 - 10*p + 5. Let d(j) = -1333*j**2 - 16*j + 8. Let l(n) = 5*d(n) - 8*g(n). Calculate l(s(o)).
3879*o**2
Let u(r) = 3*r. Let x(b) = -2*b**2 + 3*b. Let i(k) = 2*k**2 - 5*k. Let c(s) = -3*i(s) - 5*x(s). Calculate c(u(o)).
36*o**2
Let m(n) = -n**2. Let o(b) = 11006*b**2. Give m(o(a)).
-121132036*a**4
Let z(p) = p**3 - 3*p**2 - 2*p - 5. Let x be z(4). Let y(n) = 0*n - x*n + n. Let t(m) be the second derivative of m**4/6 + 4*m - 45. What is y(t(w))?
-4*w**2
Let w(c) = -4*c**2. Let l(g) = 1852*g - 5. Let r be l(1). Let a(h) = 21*h + 1847 - r. Give a(w(t)).
-84*t**2
Let q(o) = -20*o**2 - 3*o + 27. Let n(g) = 9*g. Give q(n(b)).
-1620*b**2 - 27*b + 27
Let v(f) = f**2. Let p(c) be the second derivative of -5*c**4/4 + 5*c | {
"pile_set_name": "DM Mathematics"
} |
) - (sqrt(448) + -1)) + 0 + 5)**2 - (-2 + (sqrt(7)*3 + -5 - sqrt(35)/(sqrt(80) + sqrt(5)))**2).
78/25 + 28*sqrt(7)
Simplify (-2*(((sqrt(539) - ((sqrt(539) - (sqrt(539) + 0 + sqrt(539) - sqrt(539))) + sqrt(539) + -4)) + -5*sqrt(539)*2)*-6 + 0) + -3)**2 + -5.
-75600*sqrt(11) + 7763620
Simplify (3 + (-1 + 0 + 4 + sqrt(208) + sqrt(208) + (sqrt(208)*2 - sqrt(208)))**2)*6*-5.
-56520 - 2160*sqrt(13)
Simplify -1 + (sqrt(108) + 1 + 2 + 6*(sqrt(108) - -2*sqrt(108)) + 1 + (3 + sqrt(108)*-2 + sqrt(108) - sqrt(108)) + sqrt(108))**2.
1512*sqrt(3) + 35040
Simplify (3 + (sqrt(245) + -5 + (4 + sqrt(245) + sqrt(245) - sqrt(245)))*5 - (sqrt(245) + sqrt(245) + -1 + -5 - 2*sqrt(245)*5))**2.
1008*sqrt(5) + 79396
Simplify 4 + (1*((sqrt(7) - sqrt(63)*-1) + sqrt(7)) + 4 - (4 + sqrt(7)*-2 + ((sqrt(49)*-2)/sqrt(7) - sqrt(7))))**2 + -1.
703
Simplify (-1 + (0 + 1*sqrt(128) + (sqrt(128) - (-4 + 0 + sqrt(128))))*1)**2*-6*-5*-2.
-8220 - 2880*sqrt(2)
Simplify -1 + (-3*sqrt(1573) + 4 - (3*(sqrt(1573) + sqrt(1573) + 1 + sqrt(1573)))**2) + (sqrt(1573) - 6*5*sqrt(1573)) + 3 + 5.
-127411 - 946*sqrt(13)
Simplify 0 + (((sqrt(1700) - -1*sqrt(1700)*-3) + sqrt(1700) - sqrt(1700)) + ((2*sqrt(1700) - sqrt(1700))*-4 - sqrt(1700)))**2 + (-2 + 1 + sqrt(1700))*6*-1.
-60*sqrt(17) + 83306
Simplify (2*-5*(sqrt(78) + ((sqrt(78) - -3*sqrt(78)) + sqrt(78) - sqrt(78))))/(sqrt(30)/(sqrt(25)/(-5*sqrt(5))))*-5.
-50*sqrt(13)
Simplify (6*((sqrt(77) - sqrt(77)*-2) + sqrt(77)) - sqrt(77) - sqrt(77))/((sqrt(252) + sqrt(7))*-3) - -6*(-2*sqrt(539)*6 + (1 + sqrt(539))*1)**2.
-19426*sqrt(11)/21 + 391320
Simplify (((sqrt(2688) - -5*sqrt(2688))/sqrt(6))**2 - 5*((sqrt(700) - sqrt(7))*-3 - sqrt(7))**2)*3.
-33936
Simplify ((sqrt(170) - (sqrt(170) - 5*(3*sqrt(170) + sqrt(170))))*-2)/(-6*(sqrt(10) - sqrt(3840)/sqrt(6)))*3.
-20*sqrt(17)/7
Simplify (5*(6*(-5 + (-1 + 1*sqrt(847))*-1 + -2) + 1))**2.
115500*sqrt(7) + 792925
Simplify ((-2*(1*sqrt(100) + sqrt(100)))/(sqrt(4) - 4*sqrt(16)/sqrt(4)))/(sqrt(140)/sqrt(7) + sqrt(5)*-5*3).
-4*sqrt(5)/39
Simplify -4 + 6*(sqrt(176) + 1)*-3 - ((sqrt(176) + 0)*6 - (sqrt(176) + -4*sqrt(176) + 5))**2.
-14303 + 288*sqrt(11)
Simplify 2 + -5 + -3 + sqrt(162) + -1 + sqrt(162) + sqrt(128)*-3 + sqrt(18)*1*6.
-7 + 12*sqrt(2)
Simplify (2*(-1 + (sqrt(396) + -1 + sqrt(396) + sqrt(396)*-4 - -4*(sqrt(396) + -2)))*2)**2.
-3840*sqrt(11) + 26944
Simplify (-4*3*sqrt(16) - sqrt(16))/(sqrt(72)/(sqrt(9) - (sqrt(63)/sqrt(7) - sqrt(9)))) + -4 + -6*sqrt(4)/(sqrt(72)*-1).
-12*sqrt(2) - 4
Simplify (1 + -6*(sqrt(448) - (sqrt(448) + 1)) + (sqrt(448) + 2 + sqrt(448) + sqrt(448) + -4 - sqrt(448)) + -4)**2.
32*sqrt(7) + 1793
Simplify 1*((3 + sqrt(1377)*2 + 3 - 6*(sqrt(1377) + (sqrt(1377) - (sqrt(1377) - -2*sqrt(1377))))*6)*-5)**2.
102600*sqrt(17) + 49710600
Simplify (sqrt(66) - -5*(sqrt(66) + -1*sqrt(66)) - sqrt(66)*5*-3)/(-4*(sqrt(6) - (sqrt(384) + sqrt(384)*-1 - sqrt(6)))*-6).
sqrt(11)/3
Simplify ((((4*1*sqrt(1215) - sqrt(1215)) + sqrt(1215) - sqrt(1215)) + 3*(sqrt(1215) - -1*sqrt(1215)))/(-2*sqrt(300)*1*-3) + 0)**2.
729/80
Simplify (((-5*sqrt(36)*1 + sqrt(36) + (-1*sqrt(396))/sqrt(11))*2)/(5*sqrt(120)/(sqrt(10) + (sqrt(1210)*1 - sqrt(10)))))**2 + -3.
1449
Simplify -5 + 0 + (-4*(sqrt(1088) + -1)*-3 + -1*(2 + sqrt(1088) + -1 - sqrt(1088)))**2.
-2496*sqrt(17) + 156836
Simplify (((sqrt(360) + 3*(-1*sqrt(360) + sqrt(360)))/sqrt(12))/((sqrt(1210) - (sqrt(1210)*5 + sqrt(1210)))*3))**2*-4.
-4/9075
Simplify 3*(sqrt(20)/(sqrt(10) - 2*sqrt(80)/sqrt(8)) + (-3 + sqrt(72) - sqrt(72) - sqrt(72))*-3)*-5.
-255*sqrt(2) - 135
Simplify -3*(2 + (4*(-1 + sqrt(468))*3)**2 + -4)*4.
-810408 + 20736*sqrt(13)
Simplify ((-3 + sqrt(243) + -5 + (sqrt(243) - (sqrt(243) + 1)) + sqrt(243))*-5 + (sqrt(108)/sqrt(6)*-4)/(sqrt(150)*2))**2.
-8136*sqrt(3) + 663537/25
Simplify ((1 + -2 + (sqrt(50) + sqrt(50) + 1 - sqrt(50)) - ((sqrt(150)*-2)/sqrt(3) + 0 + sqrt(1250) + sqrt(1250) + sqrt(1250))) + 4 + -4)**2.
7200
Simplify (-3 + (3*sqrt(147) + 3 - -2*(sqrt(147) + -2*sqrt(147)))*5 + -3)*5*-5.
-875*sqrt(3) - 225
Simplify (2 + (sqrt(832) + (sqrt(832) - -4*(sqrt(832) - sqrt(832)*1)))*4 + 3 + (6*(-1 + sqrt(832)) - 4*-2*sqrt(832)))**2.
-352*sqrt(13) + 402689
Simplify -4 + ((-1*sqrt(14))/sqrt(2))**2 + sqrt(1008) + 4 + 1 + sqrt(1008) - ((-1*(sqrt(63) + sqrt(252)))**2 + (-3 + sqrt(63)/(sqrt(36)/sqrt(4)))**2).
-575 + 30*sqrt(7)
Simplify ((sqrt(76) + 3*6*sqrt(76))*-5 - -1*((sqrt(76) - (sqrt(76) - (sqrt(76) + -5))) + sqrt(76) + 1 + sqrt(76)))**2.
1472*sqrt(19) + 643280
Simplify ((((sqrt(189)*-2)/sqrt(7))/(sqrt(3) - sqrt(108)/sqrt(4)))/(5*sqrt(24)/(sqrt(24)/sqrt(12) - sqrt(8))))**2*1.
3/100
Simplify 4*3*(3 + 1*(-4 + ((-2 + sqrt(425) - sqrt(425))*6)**2 + sqrt(425)))*6.
360*sqrt(17) + 10296
Simplify (sqrt(1100) + 4*sqrt(1100) + 0 + 0)**2 + ((sqrt(1100)*5 + 0)*3)**2 + 2.
275002
Simplify (3*-2*(sqrt(200) + (sqrt(200) - (1*sqrt(200) + sqrt(200)) - sqrt(200)) + sqrt(200))**2*3*2 + 1)*5.
5
Simplify (((-3*sqrt(91) - sqrt(91))*-6 + sqrt(91))*4*-2)/(-3*-3*-5*sqrt(343)).
40*sqrt(13)/63
Simplify (1 + -3*sqrt(76)*-1*4)**2 + sqrt(2299) + ((sqrt(2299) + -1)*6)**2 + sqrt(2299) + 3*(sqrt(38)/(sqrt(2) + 2*sqrt(2)))**2.
-722*sqrt(19) + 281254/3
Simplify (((-1 + sqrt(1053)*2 + -2)*5 - (-5*-2*sqrt(1053) + 5 + 0)) + -2)**2.
484
Simplify -1*((-1*sqrt(224) + sqrt(224) - sqrt(224))/sqrt(2))/(sqrt(324) + -5*sqrt(324)*6 + sqrt(324)).
-sqrt(7)/126
Simplify 2*sqrt(13) + -4 + sqrt(832)*1 + (-1*sqrt(13)*2 + 1)**2 + 3.
6*sqrt(13) + 52
Simplify ((sqrt(441) + -3*1*sqrt(441))/(1*sqrt(700)))/(4*(2*sqrt(900) + sqrt(900)) + sqrt(900) + sqrt(900) + sqrt(900) + 4*(sqrt(900) - sqrt(900)*-1)).
-sqrt(7)/1150
Simplify 1 + (5 + sqrt(2299) + sqrt(2299) + sqrt(2299)*-1*-4 + sqrt(2299) + (2 + 0 + sqrt(2299) - sqrt(2299)) + 4 + -4 + 4 + sqrt(2299))**2.
1936*sqrt(19) + 147258
Simplify (-1 + sqrt(272)*-1*2 + -3 - (((sqrt(272)*-2 - sqrt(272)) + sqrt(272))*3 + 0 + -1 + sqrt(272) + -5))**2.
48*sqrt(17) + 2452
Simplify (-4*(-2 + 3*sqrt(19) - sqrt(19) - (sqrt(95)*3)/sqrt(5))*-5)**2 + 2.
1600*sqrt(19) + 9202
Simplify (((sqrt(72) + -1*sqrt(72)*-5)/(sqrt(324)*-2))/(sqrt(729)*2*5*-6))**2.
1/1312200
Simplify (-3 + ((-1 + sqrt(2736))*2 - sqrt(2736)) + 5 + 3 + sqrt(2736) + 4 + -2*sqrt(2736)*-2 + 5)**2.
1728*sqrt(19) + 98640
Simplify (-5*-6*(sqrt(143) + -1*(sqrt(143) - (2*sqrt(143) - sqrt(143)))))/(((sqrt(132) + sqrt(132)*-2)*4 + sqrt(132))/(sqrt(300)*-2)).
100*sqrt(13)
Simplify (-3*(1 + sqrt(832)) + 4)**2 - (-3*sqrt(78)/sqrt(2) + sqrt(39))/(sqrt(12)/(sqrt(4) - sqrt(16))).
-50*sqrt(13) + 7489
Simplify -4*(2 + ((sqrt(588) - sqrt(588)*3)/sqrt(12))/(sqrt(42)/sqrt(150)))**2 + 3.
-2813 + 160*sqrt(7)
Simplify (sqrt(119)*-1*2*-3*4)/(sqrt(7) + sqrt(70)/(sqrt(10)*-3) - (-3*sqrt(847) + sqrt(7))).
36*sqrt(17)/49
Simplify -3 + (1*(-1 + sqrt(175) + sqrt(175) + -4 - (6*(sqrt(175)*-2 + sqrt(175) + sqrt(175)) + sqrt(175)) - (sqrt(175) + 2 + 3 + -5)))**2.
22
Simplify -3 + (-2 + 2 + sqrt(1872) + 1 + sqrt(1872) + 3*(-5 + 3*sqrt(1872)) + 5)**2.
-2376*sqrt(13) + 226590
Simplify 0 + (sqrt(264)/(sqrt(11)*-2))/(2*sqrt(972)) + -2*(sqrt(242)*-2 + -3)**2.
-1954 - 9505*sqrt(2)/36
Simplify 4 + 2 + (5 + (sqrt(425) - (1*sqrt(425) + sqrt(425))) - -1*(1*sqrt(425) + sqrt(425)) - (-2*sqrt(425) + -3)*-6)**2.
1430*sqrt(17) + 51600
Simplify 5*(((sqrt(216) + sqrt(216)*-5)/sqrt(8))/sqrt(9) - -6*(3*sqrt(3)*4 + sqrt(3))).
370*sqrt(3)
Simplify ((sqrt(1216) + 1 + 0 + (sqrt(1216) + (2 + sqrt(1216))*-6 - sqrt(1216)) + sqrt(1216) - (2 + (sqrt(19) - sqrt(57)/sqrt(3)*-3 - sqrt(19))*-2)) + 0)**2.
676*sqrt(19) + 13013
Simplify (2 + sqrt(3)*1 + sqrt(3) + -1 + (5*(sqrt(144) + sqrt(9)) + sqrt(9))/sqrt(3))**2 - ((-4*(1 + sqrt(192) - sqrt(192)) + -3 + sqrt(192)*-2)*-4)**2.
-10719 - 3528*sqrt(3)
Simplify (sqrt(280)/(sqrt(500)*4))/((sqrt(968) + -3*sqrt(968))*4 + sqrt(968) + sqrt(968)) + -5.
-5 - sqrt(7)/2640
Simplify (-6*(-3 + 0 + sqrt(112))*-3 - (sqrt(112)*-1 + 5 + sqrt(112) + 3 + -4))**2.
-8352*sqrt(7) + 39652
Simplify -3 + 4*((-5*(sqrt(567) + (sqrt(567) - (1 + sqrt(567) + sqrt(567))))*4 + -3)*6)**2 + -2.
41611
Simplify 4*(-2 + 1*(sqrt(80) - (4 + (sqrt(80) - (sqrt(80)*2)**2)) - sqrt(80)) + 1 + -4).
-16*sqrt(5) + 1244
Simplify 5*(3*(2*(sqrt(70) + 4*(sqrt(70)*3 - sqrt(70))))/(sqrt(110)/(sqrt(110)/(sqrt(10) + sqrt(80)/sqrt(8)))))**2.
25515
Simplify 1*2*sqrt(128) + (6*(sqrt(128) + s | {
"pile_set_name": "DM Mathematics"
} |
ve prob of sequence rr.
3/91
Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?
1
Calculate prob of sequence xx when two letters picked without replacement from {x: 8, l: 8, s: 1}.
7/34
What is prob of sequence uurj when four letters picked without replacement from jujru?
1/30
Two letters picked without replacement from ciryrccyc. What is prob of sequence ri?
1/36
Two letters picked without replacement from mckck. Give prob of sequence km.
1/10
Two letters picked without replacement from {u: 2, o: 2}. Give prob of sequence uo.
1/3
What is prob of sequence kuk when three letters picked without replacement from uuuukkukuuuuuuuuuuuu?
17/1140
Two letters picked without replacement from bgsbsbgsgyyzeygyyg. What is prob of sequence be?
1/102
Three letters picked without replacement from wwuugnugmg. Give prob of sequence gng.
1/120
Calculate prob of sequence fkn when three letters picked without replacement from {u: 1, k: 2, f: 5, w: 2, n: 1, b: 5}.
1/336
Four letters picked without replacement from wgqwgwvuvugwwwgvq. Give prob of sequence vugg.
3/2380
Two letters picked without replacement from {p: 6, s: 2, n: 5}. What is prob of sequence ns?
5/78
Calculate prob of sequence jz when two letters picked without replacement from {g: 2, d: 2, w: 4, j: 1, a: 2, z: 1}.
1/132
Three letters picked without replacement from {m: 3, x: 11}. Give prob of sequence mmm.
1/364
Three letters picked without replacement from jbjqcffjblbjfjqqfjf. Give prob of sequence qjb.
3/323
Three letters picked without replacement from {z: 10, w: 4}. What is prob of sequence www?
1/91
What is prob of sequence al when two letters picked without replacement from qgltaqi?
1/42
What is prob of sequence nih when three letters picked without replacement from {n: 1, h: 1, g: 2, t: 2, i: 2}?
1/168
Two letters picked without replacement from hyhsoohoomhhc. What is prob of sequence cm?
1/156
Calculate prob of sequence dlph when four letters picked without replacement from {h: 4, o: 7, p: 4, d: 3, l: 1}.
1/1938
Two letters picked without replacement from {l: 2, r: 2, d: 1, h: 1, s: 1}. Give prob of sequence sd.
1/42
What is prob of sequence kwmm when four letters picked without replacement from {x: 3, g: 3, w: 3, m: 3, i: 1, k: 1}?
3/4004
Calculate prob of sequence yxy when three letters picked without replacement from {y: 4, a: 2, x: 5}.
2/33
Calculate prob of sequence ct when two letters picked without replacement from {c: 2, n: 4, m: 2, t: 1}.
1/36
Four letters picked without replacement from {e: 1, b: 3, a: 2, s: 1, t: 2, r: 10}. Give prob of sequence absr.
5/7752
Calculate prob of sequence eoq when three letters picked without replacement from {k: 5, q: 4, o: 1, e: 3}.
1/143
Four letters picked without replacement from yylly. Give prob of sequence yyll.
1/10
Two letters picked without replacement from xaaaaxx. Give prob of sequence xa.
2/7
Three letters picked without replacement from mmmamraatarraraamaar. What is prob of sequence rmt?
5/1368
Calculate prob of sequence qii when three letters picked without replacement from {i: 7, b: 11, q: 1}.
7/969
Three letters picked without replacement from {f: 7, x: 5, o: 4}. What is prob of sequence oxo?
1/56
Calculate prob of sequence zzzy when four letters picked without replacement from {h: 2, y: 4, v: 1, z: 7}.
5/143
What is prob of sequence lhjh when four letters picked without replacement from shshjwjsslslwslw?
1/3640
Calculate prob of sequence xhvk when four letters picked without replacement from {k: 3, w: 2, v: 4, h: 4, x: 3, b: 1}.
3/1190
Four letters picked without replacement from {q: 1, x: 1, f: 1, m: 6, r: 2, l: 4}. Give prob of sequence lmrm.
2/273
What is prob of sequence oh when two letters picked without replacement from {o: 2, k: 5, h: 5}?
5/66
Four letters picked without replacement from vmmmmvivdvmmvmmjmvyv. Give prob of sequence imyd.
1/12920
Calculate prob of sequence hh when two letters picked without replacement from {h: 10}.
1
Four letters picked without replacement from {z: 2, u: 10, v: 1, c: 4}. What is prob of sequence zccc?
1/1190
Four letters picked without replacement from {v: 4, s: 2, a: 3, w: 4, o: 3, u: 2}. What is prob of sequence wouu?
1/3060
What is prob of sequence kk when two letters picked without replacement from kkkkiikk?
15/28
Calculate prob of sequence kk when two letters picked without replacement from {f: 9, k: 9}.
4/17
Two letters picked without replacement from {t: 11, b: 5, z: 3, s: 1}. What is prob of sequence bb?
1/19
Calculate prob of sequence ckv when three letters picked without replacement from uuukvbvtvtvcuvubbbtu.
1/1368
Two letters picked without replacement from {j: 3}. Give prob of sequence jj.
1
Four letters picked without replacement from {x: 1, y: 1, p: 5, o: 6, c: 2, r: 1}. Give prob of sequence ocrx.
1/3640
Calculate prob of sequence mmj when three letters picked without replacement from {m: 2, j: 8}.
1/45
Four letters picked without replacement from dddgddgddgd. Give prob of sequence ggdd.
7/165
Calculate prob of sequence nc when two letters picked without replacement from gwwncccmcnmg.
2/33
Two letters picked without replacement from iezizqzqeeqqzii. Give prob of sequence eq.
2/35
What is prob of sequence zz when two letters picked without replacement from zllblbllzbnlznl?
1/35
Calculate prob of sequence zbbb when four letters picked without replacement from zbbbbbbz.
1/7
Calculate prob of sequence etu when three letters picked without replacement from pqqepptptput.
1/440
Two letters picked without replacement from sswwswwwwwwwswwwwwws. Give prob of sequence ss.
1/19
Calculate prob of sequence kb when two letters picked without replacement from {k: 8, b: 2}.
8/45
Calculate prob of sequence nv when two letters picked without replacement from nznonvznnozzwvzzk.
5/136
What is prob of sequence cd when two letters picked without replacement from cgscgfdkcff?
3/110
Calculate prob of sequence wl when two letters picked without replacement from {m: 1, w: 11, l: 6}.
11/51
Three letters picked without replacement from spmp. Give prob of sequence spm.
1/12
What is prob of sequence he when two letters picked without replacement from hueehkeuhwmuhh?
15/182
Calculate prob of sequence kkk when three letters picked without replacement from kyyky.
0
Two letters picked without replacement from {m: 2, u: 1, q: 1}. What is prob of sequence mq?
1/6
Calculate prob of sequence ad when two letters picked without replacement from {a: 1, e: 1, d: 2}.
1/6
Three letters picked without replacement from pnniinnpp. Give prob of sequence pnp.
1/21
Calculate prob of sequence df when two letters picked without replacement from wdf.
1/6
Two letters picked without replacement from {n: 13, d: 1, e: 3}. Give prob of sequence nd.
13/272
Calculate prob of sequence vavb when four letters picked without replacement from {a: 1, b: 1, q: 1, f: 1, v: 2, w: 1}.
1/420
What is prob of sequence lwl when three letters picked without replacement from {k: 1, t: 7, l: 2, w: 2}?
1/330
What is prob of sequence il when two letters picked without replacement from vnvlilviivivvilli?
3/34
Three letters picked without replacement from {y: 9, t: 2, j: 1, r: 4, b: 2, m: 2}. What is prob of sequence jby?
1/380
Calculate prob of sequence sics when four letters picked without replacement from ucsascauasaicc.
1/1001
Two letters picked without replacement from {n: 1, k: 2, v: 1}. What is prob of sequence kv?
1/6
What is prob of sequence dh when two letters picked without replacement from {h: 1, f: 1, x: 1, d: 2, b: 1, y: 1}?
1/21
What is prob of sequence bwq when three letters picked without replacement from wqbww?
1/20
Calculate prob of sequence egg when three letters picked without replacement from mxemxxmgxygmxemx.
1/840
Four letters picked without replacement from {r: 1, f: 2, s: 5, d: 5, q: 3}. Give prob of sequence sqrq.
1/1456
Two letters picked without replacement from {u: 5, h: 9}. Give prob of sequence hu.
45/182
Four letters picked without replacement from {h: 1, v: 4, l: 6, q: 3, u: 4, k: 1}. Give prob of sequence ulqq.
1/646
Calculate prob of sequence rrlr when four letters picked without replacement from kkkrrkrkkkkrklkrrkk.
5/3876
Calculate prob of sequence tyst when four letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
w**4 + 30*w**3 + 30*w**2 - 35*w. Let x(q) = n(q) - 30*r(q). Find the second derivative of x(u) wrt u.
60*u**2
What is the third derivative of 13*l**6 + l**2 - 2*l**2 - 2*l**2 wrt l?
1560*l**3
Let l(w) be the second derivative of 0 - 3/2*w**2 + w - 1/2*w**3. Differentiate l(j) with respect to j.
-3
Let v(j) = 1 + j**3 + j**2 - 4*j + 2 + j**2. Let x be v(2). What is the derivative of 10*t - x*t + 0 + 4 - 3 wrt t?
-1
Let z(n) = -n**3 - 7*n**2 - 6*n + 8. Let y be z(-6). What is the first derivative of o + 7*o - y*o + 1 - o**2 wrt o?
-2*o
Let s = -20 + 23. Differentiate 9 + 3*h**4 - 12 + s*h**4 wrt h.
24*h**3
Let g(q) be the first derivative of 5 + 0*q**3 + 4*q**2 - 5/2*q**4 + 0*q. Find the second derivative of g(j) wrt j.
-60*j
Let x(z) = 3*z**3 + 6*z**2 + 4*z + 4. Let m(g) = 6*g**3 + 13*g**2 + 7*g + 9. Let w(b) = -4*m(b) + 9*x(b). What is the second derivative of w(q) wrt q?
18*q + 4
Let a(p) = -19*p**3 - 12*p**2 - 2*p. Let f(k) = -18*k**3 - 13*k**2 - 3*k. Let r(o) = -3*a(o) + 2*f(o). What is the third derivative of r(n) wrt n?
126
Let q(t) be the first derivative of 5*t**3/3 - t - 4. Differentiate q(x) with respect to x.
10*x
Let y(t) = -2*t**3 + t**2. Let j = 4 - 7. Let o = 4 + j. Let u(a) = -a**3. Let w(q) = o*y(q) - u(q). What is the third derivative of w(f) wrt f?
-6
Let j be (2 - -2)/(-2 - -3). Suppose 0 + 16 = j*z. What is the first derivative of -5 + 3*i**4 + 1 + i**z wrt i?
16*i**3
Let c(k) be the third derivative of 0*k**6 + 0*k**7 + 1/112*k**8 + 0*k**5 + 2*k**2 - 1/6*k**4 + 0*k + 0 + 0*k**3. What is the second derivative of c(r) wrt r?
60*r**3
Let r(i) be the third derivative of -7*i**4/24 - i**3/6 - 4*i**2. Differentiate r(j) wrt j.
-7
Let f(n) be the third derivative of -n**8/42 - n**5/10 - 7*n**2. What is the third derivative of f(t) wrt t?
-480*t**2
Let p(x) = x**3 + 5*x**2 - 6*x + 6. Let b be p(-6). What is the third derivative of 2*s**2 - 4*s**3 + 6*s**2 + 3*s**3 - b*s**2 wrt s?
-6
Find the third derivative of 16*f**3 + 18*f**2 + 13*f - 13*f - 56*f**2 wrt f.
96
Let w(d) = -7*d**3 - 3*d**2 + d. Let l(h) = 13*h**3 + 5*h**2 - 3*h. Let u(v) = -3*l(v) - 5*w(v). What is the second derivative of u(n) wrt n?
-24*n
Let f be ((-2 - 1) + 2)*4. Let s(a) = -3*a - 6. Let o be s(f). Find the second derivative of -o*n + 2*n + 0*n + n + 3*n**5 wrt n.
60*n**3
Let m(q) be the third derivative of -1/56*q**8 - 2*q**2 + 0*q + 0*q**6 + 0 + 0*q**5 + 0*q**3 + 0*q**7 + 1/8*q**4. Find the second derivative of m(d) wrt d.
-120*d**3
Let l(m) be the second derivative of m**5/5 + m**4/4 - 12*m. Find the third derivative of l(o) wrt o.
24
Let p(w) be the first derivative of -4*w**5/5 + w**3/3 - 12*w + 13. Differentiate p(t) with respect to t.
-16*t**3 + 2*t
Suppose -3*n + 3*d = 0, 4*n - 2*d = 3*n. Let q(i) = i**2 - i + 5. Let s be q(n). What is the third derivative of -5*k**2 + 3*k**2 + 3*k**s + 4*k**2 wrt k?
180*k**2
Suppose -v = -0 - 4. What is the third derivative of f - v*f**3 - f**2 - 4*f + 3*f wrt f?
-24
Let c(a) = 8*a**4 - 21*a - 6. Let j(w) = 119*w**4 - 315*w - 91. Let g(k) = 91*c(k) - 6*j(k). What is the second derivative of g(x) wrt x?
168*x**2
Let l(s) = 10*s**2 + 8*s. Let f(g) = -11*g**2 - 9*g. Let n(w) = -5*f(w) - 4*l(w). What is the second derivative of n(v) wrt v?
30
Let m(d) = 3 - 2 - 2 - 6*d + 4*d**3. Let b(f) = -f**3 + f. Let c = 16 - 10. Let s(p) = c*b(p) + m(p). Find the first derivative of s(w) wrt w.
-6*w**2
Let w be (-4)/(-3)*6/4. Suppose -j = -4*x + 3, -5*x = -x + 3*j + 9. Differentiate -4 + 2 - w*t**4 + x*t**4 wrt t.
-8*t**3
Let x be 1 - -1 - (-24)/(-12). Let r(p) be the second derivative of -p - 1/6*p**3 + x - 1/2*p**2. What is the first derivative of r(l) wrt l?
-1
Let m(i) be the second derivative of -i**8/3360 + i**6/120 - i**4/2 - 5*i. Let u(s) be the third derivative of m(s). Find the second derivative of u(k) wrt k.
-12*k
Let f be 3 - 4 - 3 - -8. Let p(v) be the second derivative of v + 0*v**5 + 0 + v**2 + 0*v**f + 0*v**3 - 1/15*v**6. Find the first derivative of p(y) wrt y.
-8*y**3
Find the second derivative of 7*t**2 - t + 3*t**2 + 12*t**2 - 6*t**2 wrt t.
32
Let h(i) be the first derivative of 3*i**2/2 - 3*i + 4. Differentiate h(p) with respect to p.
3
Let t(i) be the first derivative of 12*i**7/7 - 3*i**3 + 3. Find the third derivative of t(b) wrt b.
1440*b**3
Let a(z) be the third derivative of 0*z**4 + 0*z + 0*z**7 - 4*z**2 + 0*z**6 + 0 + 0*z**3 + 1/168*z**8 + 1/30*z**5. Find the third derivative of a(v) wrt v.
120*v**2
Let o(r) be the third derivative of -4*r**7/105 + r**4/12 - 11*r**2. What is the second derivative of o(t) wrt t?
-96*t**2
Let c be -2*(-1 - (-4)/(-8)). Find the second derivative of -c*o + 0*o**2 + 6*o**3 + 0*o**2 + 9*o wrt o.
36*o
Let p(o) be the second derivative of 3*o**2 - 1/3*o**4 - o + 0*o**3 + 0. What is the derivative of p(c) wrt c?
-8*c
What is the derivative of 5*y - 6*y + 4 + 0*y + 9*y wrt y?
8
Let a be -1*1 + (26 - 5)/7. Let s(k) be the second derivative of 0 + 0*k**4 + 0*k**3 + 4*k + 1/20*k**5 - k**a. Differentiate s(y) wrt y.
3*y**2
Let l(w) = -14*w**3 - 5*w**2 + 5*w + 45. Let u(z) = z**3 - z**2 + z. Let d(t) = -l(t) + 5*u(t). Differentiate d(p) with respect to p.
57*p**2
Suppose 3*m = -5*o + o + 168, -5*o - 3*m = -207. Suppose -4*p = s - 32, 3*p + o = 6*p - 3*s. Find the second derivative of 2*w**5 + w - 9*w**4 + p*w**4 wrt w.
40*w**3
Find the second derivative of 7*k**2 + 5*k**2 - 30*k - 26*k**2 - 14*k**2 wrt k.
-56
Let c = 7 + -5. What is the second derivative of -4 + 3*w + c*w**3 + 4 wrt w?
12*w
Let m(p) be the second derivative of -9*p**3 - 13*p**2 + 33*p - 1. What is the derivative of m(u) wrt u?
-54
What is the third derivative of -11*u**2 - 24*u**3 - 4*u**2 + 27*u**2 wrt u?
-144
What is the third derivative of 3*b**2 + 3*b**2 + 20*b**3 + 28*b**2 - 57*b**3 wrt b?
-222
Let f(b) = -b**3 + 3*b + 9. Let p(u) be the first derivative of u**2/2 + 2*u - 3. Let l(j) = -2*f(j) + 9*p(j). What is the second derivative of l(i) wrt i?
12*i
Differentiate -6*b**3 - 9*b**3 + 49 - 31 wrt b.
-45*b**2
Let s(v) be the first derivative of -2*v**4 - 11*v**2/2 - 9. Find the second derivative of s(l) wrt l.
-48*l
Let q(o) = 12*o**3 + 6*o**2 + 7*o + 6. Let v(d) = d**2 + 1. Let a(l) = q(l) - 6*v(l). Find the second derivative of a(h) wrt h.
72*h
Let w(c) be the first derivative of c**3/3 + 7*c**2/2 + 3*c - 1. Let m be w(-7). Differentiate -3*f**2 + m*f**2 - 2*f**2 + 3*f**2 + 1 wrt f.
2*f
Let g(a) = 7*a - 21. Let x(l) = 3*l - 10. Let q(c) = 2*g(c) - 5*x(c). Differentiate q(i) wrt i.
-1
Let y(f) be the first derivative of 0*f**3 - 7 - 7/2*f**2 - 3/4*f**4 + 0*f. What is the second derivative of y(s) wrt s?
-18*s
Let i(m) be the second derivative of m**8/336 - m**6/120 + m**3/3 + 6*m. Let a(b) be the second derivative of i(b). What is the third derivative of a(d) wrt d?
120*d
Let x(a) = 7*a**2 - 5*a - 1. Let l(z) = z**2 - z - 1. Let y = 2 + -1. Let s(k) = y*x(k) - 5*l(k). What is the first derivative of s(p) wrt p?
4*p
Let w be (-5)/(-3) - 1/(-3). What is the first derivative of -1 - 8*v + 9*v + w*v wrt v?
3
Let k(x) be the third derivative of -4*x**6/15 - 11*x**5/30 - 33*x**2. Find the third derivative of k(r) wrt r.
-192
Let g(n) be the second derivative of n**6/15 + n**3/3 - 4*n. What is the second derivative of g(b) wrt b?
24*b**2
Let w be (-8)/20 - (-110)/25. Find the second derivative of t - w*t**3 - t**3 + 4*t wrt t.
-30*t
Let u(k) be the first derivative of 8*k**3/3 - k**2 - 7. Find the second derivative of u(g) wrt g.
16
Let o(s) be the second derivative of s**9/2160 - s**5/20 + s**4/12 - 7*s. Let p(l) be the third derivative of o(l). What is the first derivative of p(u) wrt u?
28*u**3
Let y(n) be the third derivative of -n**6/60 + n**4/3 + 10*n**2. Find the second derivative of y(r) wrt r.
-12*r
Let k(j) be the third derivative of 0*j**5 + 3*j**2 + 0*j**6 + 0 + 1/3*j**3 + 0*j**4 - 1/42*j**7 + 0*j. Find the first derivative of k(z) wrt z.
-20*z**3
Let l(r) be the second derivative of 7*r**6/15 - 10*r**3/3 - 15*r. What is the second derivative of l(w) wrt w?
168*w**2
Let v(y) = 4*y**2 - 2*y. Let l(h) = 1 - h - 9 + 8. Let c(s) = -5*l(s) + v(s). Find the second derivative of c(f) wrt f.
8
Let i(q) = -q**3 + 3*q**2 - 3*q + 2. Let o(f) = f**3 + f**2 - f - 1. Let s(r) = 2*i(r) - 6*o(r). Find the first derivati | {
"pile_set_name": "DM Mathematics"
} |
t k = 222 + -220. Let a = -3 - -6. Solve -a*h = k*h + p for h.
-2
Suppose 178*f - 233*f = -12100. Solve -223*r + f*r + 3 = 0 for r.
1
Let r be (12 - 0) + 1*-1*2. Suppose 3*o + 15 = -5*l, -5*l + 0*o + 2*o = -r. Suppose l = -c + 4*c. Solve c = -3*m + 7*m for m.
0
Suppose 4*d = 7*d - 90. Suppose 3*x = 9*x - d. Solve 0 = 6*f - x*f - 3 for f.
3
Let a(x) = 6*x - 8 - 1 + 2*x**3 + 11*x**2 + 3 - 3*x. Let r be a(-5). Suppose 7*k = r*k. Solve -2*q - q = k for q.
0
Let c = 4057 - 4042. Solve 34*j + c = 31*j for j.
-5
Suppose -270*v = -252*v - 1782. Solve -20*y - 19 = -v for y.
4
Let b = 7 + -10. Let f be (-2 - -3)*(7 - b). Suppose 15*a - 14 = 8*a. Solve 4*p - a*p = -f for p.
-5
Suppose -50 - 2 = 4*l + 4*h, -4*h + 13 = -l. Let q(s) = s + 8. Let j(f) = -f - 8. Let w(t) = -3*j(t) - 4*q(t). Let v be w(l). Solve 0 = -4*y + 3*y + v for y.
5
Suppose 4*y + 2*i + 68 = 0, -2*i + 5 + 23 = -2*y. Let z = -2780 + 2766. Let a = z - y. Solve -d + a = -1 for d.
3
Let r = -50 - -33. Let q = -12 - r. Let z(w) = 42*w + 54. Let m be z(-1). Solve 0 = -n + q*n + m for n.
-3
Let p(l) be the third derivative of 0*l + 1/8*l**4 + 0 - 1/3*l**3 - 10*l**2 + 1/60*l**5. Let d be p(-4). Solve 2*s - 12 = -d*s for s.
3
Let a be (4/(-5))/(-1)*5. Let b(p) = -23*p + 104. Let q be b(a). Solve 0 = -2*k - k - q for k.
-4
Let v(f) = -3*f**2 - 15*f + 7. Let b = 46 + -51. Let j be v(b). Suppose -y = -j*y + 42. Solve -3*z = y + 8 for z.
-5
Suppose 4*f = -x + 650 - 121, -x - 3 = 0. Let l be (-19)/(f/(-70)) - 4. Solve -b - l*b = 21 for b.
-3
Suppose -m + 3*m + 4 = -4*z, -5*z = -4*m + 18. Solve -m*y - 56 = -60 for y.
2
Let i(d) = -3*d**3 - 24*d**2 - 46*d - 360. Let r be i(-8). Solve 24*m - r*m = -m for m.
0
Let y be 178/8 + -21 + (-79)/(-4). Solve -y + 5 = 16*w for w.
-1
Let i = 37098 + -35934. Solve 1170*q - i*q - 24 = 0 for q.
4
Let a be 0/((-52)/182*(-7)/(-4)*2). Solve a = 100*u - 300 for u.
3
Let j be (-1989)/(-273) - 4/14. Let s be j/(-28) + 100/16. Solve 4*u + 22 = s for u.
-4
Let b be (-688)/168 + 4 + (-106806)/(-882). Solve -b*k + 128*k + 7 = 0 for k.
-1
Let o = -36 + 58. Suppose 4*r = 20, -4*r + o = -4*p - 14. Let c = p + 10. Solve c*t - 5*t = 2 for t.
2
Suppose -30 = 2*r - 40. Suppose -15 = -3*z, -r*l + 0*l + 40 = 4*z. Solve q + l = -1 for q.
-5
Let g(j) = -j**2 + j + 18. Let z be g(-4). Let b be 48/240 + (z - 114/(-5)). Solve 0*d - 7*d + b = 0 for d.
3
Let d(x) = -x**3 - 7*x**2 + 2*x + 50. Let k = 814 - 820. Let u be d(k). Let i be (-2)/(-5) - (-28)/5. Solve 0*b - i = -u*b for b.
3
Suppose 84*f + 297 = 47*f + 46*f. Solve -f*n + 24 = -41*n for n.
-3
Let w be (-1 + (-24)/9)*-3. Let l be (-80)/3*42/28. Let k be (-144)/l - 3/(-15)*2. Solve w = k*d - 5 for d.
4
Let b(d) = -d**2 + 35*d + 46. Let u be b(36). Let t be (42/21)/(4/u). Solve t*q = 3*q - 2 for q.
-1
Suppose 0*q - 21 = -3*q + h, 5*h = -3*q + 39. Suppose -4*u = 2*r - 4, -u - 6*r = -r + q. Solve -15*c + 16*c - u = 0 for c.
2
Let w be 9/(-6)*2/(-3). Let y be (4 - 3)*(-1)/w*0. Suppose a - 5*a - 6*a = y. Solve 4*n = -a*n + 8 for n.
2
Let n = 219 - 216. Solve -63*q = -n + 129 for q.
-2
Suppose -5 = b + 4*b, 2*n = b + 7. Let p be 64/1472 + (-44)/(-46). Solve -n*a - 2 = p for a.
-1
Let q be (-8)/(-12)*((0 - 181) + -2). Let t = 156 + q. Let w be -3*(t/(-6) + 5). Solve w*z + 3*z = -25 for z.
-5
Let r(d) = -d**3 - 18*d**2 + 11*d - 21. Let t be r(-18). Let s = t + 223. Solve -s*o + 8 = -4 for o.
3
Let r be 6/8*(-72)/(-1). Suppose 0 = 5*w + 10, -5*f + 4*w + 64 = -r. Suppose 5*m - 8*z = -5*z + 32, -m - 4*z + 11 = 0. Solve -3*v - f = -m for v.
-5
Suppose -k = 4*n + 44, -2*n = n + k + 34. Let y be (n + 0 + 2*1)/(-2). Suppose 2*i + 22 = 5*u, y*u = i + 2*i + 19. Solve 0*a = 2*a + u for a.
-2
Let s be -1*1 + 2 + (-2408)/28. Let b = s + 85. Suppose b = -14*i + 12*i + 8. Solve i + 1 = -5*x for x.
-1
Suppose -264*b - 3132 = -322*b. Solve 3*t = 21*t + b for t.
-3
Let x be (-2)/(-4)*(-41 + 181). Solve -11*m = -15 + x for m.
-5
Suppose n + 4*l - 264 = 0, 5*n - 1420 = l + 4*l. Let s = n + -186. Let q = s - 90. Solve -q*h + 20 = h for h.
4
Let g be (-4 - -2)*122/(-4). Suppose 59*c = g*c + 84. Let s be (1 - 1)*21/c. Solve 4*t - 3*t - 5 = s for t.
5
Let t = -5347 + 5352. Solve -336 = -t*s - 306 for s.
6
Suppose 0 = -21*y + 24*y + 5*r + 15, 2*r + 6 = 0. Solve 0 = 6*u - y*u + 6 for u.
-1
Let c(p) = 4*p - 15. Let x be c(6). Let o be (-12)/(-66) + 216/22. Solve -4 = x*y - o*y for y.
4
Let c be 16 + 2 + 3 + 11. Let v(n) = -n**3 + 11*n**2 - 8*n - 11. Let a be v(10). Solve 0 = -a*b + b - c for b.
-4
Suppose 189 = -7*l + 189. Let g(d) = -6*d + 16. Let z be g(0). Solve 4*f = -z - l for f.
-4
Suppose 22*s + 6985 = 12969. Solve -s = -34*b - 0*b for b.
8
Let l be (((-720)/(-84))/(6/(-56)))/(1/(-2)). Solve 55*h = -115 - l for h.
-5
Let h(x) be the second derivative of 0 - 9*x**2 + 5/6*x**3 - 39*x. Let b be h(6). Solve -5*z = -b - 8 for z.
4
Suppose 0 = -113*s - 19*s - 69*s + 12864. Solve -s*n + 64 = -128 for n.
3
Let o = 371 + -157. Solve -4 = -210*k + o*k for k.
-1
Suppose 0 = 36*u - 37*u + 3. Suppose u*h = -10*h + 507. Suppose -p + 61 = 4*x, 4*x - 4*p = 37 + h. Solve 3*z + z + x = 0 for z.
-4
Let q be (5/15*-3)/(91/(-85904)). Solve 962 = 9*c + q for c.
2
Let p = 132 + -129. Suppose 0 = -5*w + 3*i - 0*i + 68, -p = 3*i. Solve -14*j + w*j - 3 = 0 for j.
-3
Suppose -402*k + 374*k = -308. Solve -k*n = 23*n + 204 for n.
-6
Suppose 0 = -714*s + 709*s + 925. Let b = s - 178. Solve b = 5*h - 8 for h.
3
Suppose 0 = 2*v - 0*t + 5*t + 188, 3*v = -3*t - 291. Let d = -170 - v. Let u = d + 73. Solve o + 3 = -u*o for o.
-1
Let s = -77 + 142. Let m = -59 + s. Suppose -5*t = -11*t + m. Solve -4 = -3*g - t for g.
1
Let k be 24 - 1/((-54)/18 + 2 + 0). Solve k*v = 4*v for v.
0
Suppose l + 8 = 5*o - 7*o, 1 = 3*o - 5*l. Let a be 4/(-1)*(o - 2). Solve 0 = 11*b - a*b - 18 for b.
-2
Suppose -4*i = -2*i - 2*k - 24, 60 = 5*i + 5*k. Let o be 3/(-12) + 507/i. Suppose -47*q = -o*q - 125. Solve -4*s - q = s for s.
-5
Suppose 0 = 15*o - 90 - 120. Solve 55 - 13 = -o*x for x.
-3
Let r = -307 - -321. Let y(n) = -n**3 + 14*n**2 + 2*n - 20. Let m be y(r). Solve 3*z = m*z - 25 for z.
5
Let h = -1640 + 1668. Solve 36*z = h*z - 16 for z.
-2
Suppose -2*x = -5*d - 21, 2*d = 4*d + 6. Let y be (5 - (-258)/(-54)) + 338/18. Suppose 12*m = 12*m + y*m. Solve 12 = -m*o - x*o for o.
-4
Let h(j) = -j**2 + 11*j + 15. Let o be h(11). Let a be (18/o + 0)*-40. Let x = a - -50. Solve -y - 12 = x*y for y.
-4
Let z(t) = 5*t**2 - 3*t + 2. Let v be (0 - 2/(-2)) + 0. Let k be z(v). Suppose 0 = 2*c - s - 9, 9*c - k*c = -3*s + 17. Solve 0 = -c*n + 10 + 6 for n.
4
Suppose 4*g = 22*x - 24*x + 652, 3*g - 498 = -3*x. Solve -7*a - g + 160 = 0 for a.
0
Let q = -1 - -70. Let s = q + -67. Solve t + s*t = -6 for t.
-2
Let q(b) = 4*b + 72. Let r be q(-18). Suppose -4*h = -4*p - p, r = -3*h - p. Solve -o - 7 + 6 = h for o.
-1
Let m = -13035 - -13054. Solve -103 = 21*p - m for p.
-4
Suppose 1700 = -234*r + 224*r. Let g be r/(-20) + 7/2 + -3. Solve -6*k + g + 3 = 0 for k.
2
Suppose 11 = 3*x + y, -x + y + 1 = 4. Suppose 5*d - d - 2*p = 4, -d + p + x = 0. Solve 6*k - 2*k + 12 = d for k.
-3
Let c be ((2442/(-385))/((-2)/5))/((-2)/(-14)). Solve c = -69*z - 27 for z.
-2
Let p(c) = c**3 + 4*c**2 - 2*c - 4. Let k be p(-4). Let h(a) = 2*a**2 + 32*a - 10*a + 8*a - 24 - 14 + 9. Let b be h(1). Solve -x = -b*x - k for x.
-2
Let l be (-5)/(225/(-170)) + (-2)/(-9). Suppose -l*o = 14 + 22. Let j be ((-10)/15)/(2/o). Solve 0 + 3 = -j*v for v.
-1
Suppose -6*a + 37*a - 310 = 0. Suppose 7 + 53 = a*g. Solve -g*m - 44 = 5*m for m.
-4
Let j be 7/98 - 2686/(-28). Let i be (2 - 3)/(j/20 + -5). Solve 0 = i*p - 10 - 0 for p.
2
Suppose 2*k - k = 4. Suppose -10 - 10 = 5*m. Let b = 6 + m. Solve -2 - k = b*s for s.
-3
Suppose 3*f = 2*f + 3. Let v(l) = -l**3 - 11*l**2 + 16*l + 54. Let n be v(-12). Suppose -2*j + 12 - 16 = 5*m, -5*m + 3*j = -n. Solve f*w = -m*w - 9 for w.
-3
Let v(a) be the third derivative of -a**6/60 + a**5/30 - 5*a**4/24 + a**3/3 + 19*a**2. Let c be v(2). Let d = c - -20. Solve d*s + 1 + 3 = 0 for s.
-1
Let d(a) = -3*a + 21. Let h be d(7). Suppose u - 4 = -0*u - w, 4*w = h. Suppose -3*n - u = -4. Solve n = 5*k - k for k.
0
Let v(j) = -21*j - 108. Let p be v(-6). Solve p*u + 126 = -0 for u.
-7
Suppose -338 = -r + 5*s, 1310 = 4*r + 3*s - 2*s. Solve -13*w + r = | {
"pile_set_name": "DM Mathematics"
} |
Give prob of sequence umm.
11/2907
Four letters picked without replacement from {c: 7, g: 3, l: 4, h: 4}. What is prob of sequence chlh?
7/1530
What is prob of sequence ah when two letters picked without replacement from {h: 1, s: 2, r: 1, b: 7, a: 2, y: 2}?
1/105
Two letters picked without replacement from dxddyxxrdyr. What is prob of sequence ry?
2/55
Three letters picked without replacement from {v: 1, f: 1, c: 1}. Give prob of sequence cvf.
1/6
Three letters picked without replacement from bsshhux. Give prob of sequence hhu.
1/105
Four letters picked without replacement from vhffvvpvfphphh. Give prob of sequence fppv.
3/1001
Four letters picked without replacement from {j: 1, a: 2, e: 1, c: 1, o: 5}. Give prob of sequence oooo.
1/42
Calculate prob of sequence kq when two letters picked without replacement from jmkuq.
1/20
Four letters picked without replacement from iiiipiipi. What is prob of sequence ipii?
5/36
Three letters picked without replacement from cncndennnnaa. What is prob of sequence ace?
1/330
What is prob of sequence jj when two letters picked without replacement from {j: 4, l: 3, o: 4, p: 2, n: 6, c: 1}?
3/95
Three letters picked without replacement from eedcecdbblbecebcldej. Give prob of sequence bcb.
2/285
What is prob of sequence ykyy when four letters picked without replacement from {y: 3, k: 2}?
1/10
Calculate prob of sequence ag when two letters picked without replacement from yyrggaygyyygay.
4/91
Two letters picked without replacement from {y: 2, h: 2, u: 2}. What is prob of sequence yh?
2/15
Four letters picked without replacement from {u: 4, g: 2}. What is prob of sequence uggu?
1/15
Two letters picked without replacement from {d: 2, n: 13, b: 3}. Give prob of sequence bd.
1/51
Calculate prob of sequence ghgg when four letters picked without replacement from ggnhgghhnhnghnhgggg.
21/646
What is prob of sequence gyyl when four letters picked without replacement from hhlhhuyhhhhlhguhhhy?
1/23256
What is prob of sequence ti when two letters picked without replacement from {i: 1, t: 4, b: 2}?
2/21
Two letters picked without replacement from dvdvxxdddxxxxxddxx. What is prob of sequence vx?
1/17
Four letters picked without replacement from iiimmiiiimiiiiiimiii. What is prob of sequence miii?
112/969
Calculate prob of sequence gyy when three letters picked without replacement from gggygyppypy.
8/165
Two letters picked without replacement from mmmsesssmm. What is prob of sequence mm?
2/9
Four letters picked without replacement from zumuummuxxmxcxux. What is prob of sequence xcmx?
1/546
Three letters picked without replacement from mkmkg. What is prob of sequence gkm?
1/15
Two letters picked without replacement from {r: 1, h: 2, z: 1, f: 1}. What is prob of sequence fh?
1/10
Two letters picked without replacement from qdllffduslsluss. Give prob of sequence fd.
2/105
Four letters picked without replacement from {r: 1, c: 2, l: 2}. What is prob of sequence crll?
1/30
Four letters picked without replacement from oooooooooo. What is prob of sequence oooo?
1
Two letters picked without replacement from ttccyuppzutt. Give prob of sequence yu.
1/66
Four letters picked without replacement from rcyiiqqqqycqirr. Give prob of sequence qyry.
1/1092
Four letters picked without replacement from epepppeppppppp. Give prob of sequence ppee.
5/182
Two letters picked without replacement from eptpeyeeptptem. Give prob of sequence yt.
3/182
Three letters picked without replacement from wvxxzxxo. What is prob of sequence xox?
1/28
Four letters picked without replacement from ajjilajjjjjjle. Give prob of sequence alej.
4/3003
What is prob of sequence tuuu when four letters picked without replacement from tttuouzoutu?
2/165
What is prob of sequence jkl when three letters picked without replacement from {j: 5, k: 1, c: 1, n: 1, l: 1}?
5/504
Calculate prob of sequence fm when two letters picked without replacement from fmddfdfdmdddm.
3/52
Three letters picked without replacement from pppddpdpppppppp. What is prob of sequence pdp?
66/455
Calculate prob of sequence tzw when three letters picked without replacement from ztzrvzvzzrzw.
1/220
What is prob of sequence eoe when three letters picked without replacement from qqoqqedooqeqqe?
3/364
Two letters picked without replacement from {z: 1, y: 2}. What is prob of sequence yy?
1/3
Three letters picked without replacement from {t: 2, a: 1, o: 1}. What is prob of sequence att?
1/12
Calculate prob of sequence mmmn when four letters picked without replacement from nmmmnm.
2/15
What is prob of sequence rra when three letters picked without replacement from rrawqa?
1/30
Two letters picked without replacement from {k: 1, f: 3}. Give prob of sequence fk.
1/4
What is prob of sequence jt when two letters picked without replacement from jetiu?
1/20
Three letters picked without replacement from {p: 4, y: 7}. Give prob of sequence yyp.
28/165
Calculate prob of sequence owow when four letters picked without replacement from {w: 3, o: 5, j: 5}.
1/143
Two letters picked without replacement from {b: 2, z: 3, t: 1, d: 8, p: 3, s: 1}. Give prob of sequence sp.
1/102
Calculate prob of sequence xe when two letters picked without replacement from {f: 1, x: 4, r: 2, e: 2, t: 1}.
4/45
Calculate prob of sequence ar when two letters picked without replacement from {l: 11, r: 1, a: 6, b: 1}.
1/57
Two letters picked without replacement from {b: 1, d: 1, z: 4, x: 1, u: 3, e: 2}. Give prob of sequence ue.
1/22
Four letters picked without replacement from {y: 6, d: 4, z: 4, k: 3}. What is prob of sequence dkdd?
3/2380
Two letters picked without replacement from {o: 3, u: 3, d: 3, h: 5, b: 1}. Give prob of sequence du.
3/70
Three letters picked without replacement from {s: 3, f: 2, q: 4}. Give prob of sequence qsq.
1/14
Four letters picked without replacement from {e: 2, p: 2, h: 2}. Give prob of sequence epeh.
1/45
Two letters picked without replacement from {i: 2, f: 6, b: 1, m: 2}. Give prob of sequence fm.
6/55
Three letters picked without replacement from {r: 1, m: 3}. Give prob of sequence rrr.
0
Two letters picked without replacement from {j: 1, l: 1, r: 2}. What is prob of sequence rr?
1/6
Three letters picked without replacement from dvvtvhhhmvto. Give prob of sequence thd.
1/220
Two letters picked without replacement from {a: 2, z: 1, c: 7, d: 4}. Give prob of sequence dz.
2/91
Four letters picked without replacement from {k: 2, t: 1, f: 2, r: 1}. What is prob of sequence tkff?
1/90
Calculate prob of sequence ixi when three letters picked without replacement from {i: 3, x: 1}.
1/4
Calculate prob of sequence oroo when four letters picked without replacement from ooorooooroorooo.
11/91
Calculate prob of sequence ff when two letters picked without replacement from ttftctfcttt.
1/55
Three letters picked without replacement from ntnhk. Give prob of sequence nkt.
1/30
Calculate prob of sequence vttt when four letters picked without replacement from {t: 3, x: 4, v: 5}.
1/396
Two letters picked without replacement from ttttttttt. Give prob of sequence tt.
1
Calculate prob of sequence swas when four letters picked without replacement from vvsvwsa.
1/420
Two letters picked without replacement from {r: 2, k: 6}. What is prob of sequence rk?
3/14
Two letters picked without replacement from xwxwww. Give prob of sequence xw.
4/15
Two letters picked without replacement from {g: 1, u: 4, i: 2}. Give prob of sequence ug.
2/21
Four letters picked without replacement from frrrfffrrrrmfffmrf. What is prob of sequence fmrm?
4/2295
What is prob of sequence fllf when four letters picked without replacement from {l: 2, j: 2, q: 8, f: 1}?
0
Calculate prob of sequence kun when three letters picked without replacement from nxrknuax.
1/168
Two letters picked without replacement from kraaaazkkkrkakkk. Give prob of sequence az.
1/48
Three letters picked without replacement from {b: 3, i: 6, y: 2, e: 2, l: 1, p: 1}. Give prob of sequence yep.
2/1365
Three letters picked without replacement from {e: 1, x: 7, a: 4, o: 3, i: 2}. Give prob of sequence oox.
7/680
Four letters picked without replacement from {x: 3, d: 2, e: 1, n: 1, o: 2, q: 6}. Give prob of sequence deon.
1/8190
What is prob of sequence gaq when three letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
/(-8)). What is the greatest common factor of 10 and n?
10
Let o be ((-28288)/(-51))/(1/(-6)*-4). Calculate the highest common divisor of 286 and o.
26
Suppose -2*u + 6*u = 12*u - 18224. What is the highest common factor of 34 and u?
34
Let i = 8029 - 7994. What is the greatest common divisor of i and 405?
5
Suppose 2*a - 386 = -y, -211 = 4*y - 243. Let s(z) = -z**2 + 5*z + 7. Let c be s(5). What is the greatest common factor of c and a?
7
Let s be -3 - -283*(-8)/(-8). Let o(v) = v**3 - v**2 + v + 105. Let m be o(0). What is the greatest common divisor of s and m?
35
Let r(j) = -2*j**3 - j**2 - j + 2. Let m be r(1). Let h = 4 + m. Let i be (-18)/((1/2)/(h/(-4))). Calculate the highest common factor of i and 198.
18
Let n(j) = j**2 - 3*j + 4. Let s be n(0). Suppose -5*h + 96 + 117 = -s*f, 10 = -5*f. Calculate the highest common divisor of h and 697.
41
Let j = 1268 + 2204. Calculate the highest common divisor of j and 56.
56
Suppose -173*z = 5*d - 178*z - 495, -2*d + 4*z = -186. Calculate the highest common divisor of d and 455.
35
Let j be ((-8)/20)/((-2)/(-10)) + 44. Suppose -j = -7*k + 77. Let w = 39 - k. Calculate the greatest common factor of w and 11.
11
Suppose 4*c - 236 = -76. Suppose -3*p + c = a, 5*p + 58 = 3*a - a. Calculate the highest common factor of a and 238.
34
Let n(o) = 27*o - 619. Let y be n(25). What is the highest common divisor of 7 and y?
7
Suppose -2*j - 1 + 27 = 5*g, -5*j + 2*g + 65 = 0. Suppose -j*m = -1451 - 4204. What is the highest common divisor of m and 15?
15
Let o = 96 + -96. Let d(v) be the third derivative of -v**4/3 + 17*v**3/6 + 11*v**2. Let s be d(o). Calculate the greatest common divisor of s and 119.
17
Suppose 23*f - 13 = 33. Let z be (-20)/(-40) + 61/f. What is the highest common factor of z and 341?
31
Let y be ((-9)/2)/(-9) - (35172/(-8) - 3). What is the highest common factor of y and 66?
22
Let w = -16 - -19. Let n be 4 + 2*w/18*-3. Suppose n*y - 4*m + 6 = -m, 4*m - 14 = 2*y. Calculate the greatest common factor of y and 57.
3
Let m be 8/(-6) - 9/((-135)/1700). Suppose -2*k = -2*f + 8, 10 = -3*k + k. Let d = f - -17. Calculate the highest common factor of d and m.
16
Let k(v) = 11025*v + 308. Let f be k(0). Let p be 1/(-2) - (-57)/2. What is the greatest common divisor of f and p?
28
Let q = 94144 - 54491. Calculate the highest common divisor of q and 19.
19
Suppose -f + 14 = 10. Suppose 0 = f*n - d - 329, 0*d + 4*d = -4*n + 304. Let g = 116 + -62. Calculate the highest common divisor of n and g.
27
Suppose 2*r - 13 = -3*y, -4*y = -2*r - 806 + 826. Calculate the greatest common divisor of 24392 and r.
8
Let d = 18938 + -18882. Suppose 5*l - 134 = 426. What is the highest common factor of d and l?
56
Let x be 145 + (-4 - -1)/3. Let v = -3 + 11. Suppose -416 = -v*h + x. Calculate the highest common factor of h and 10.
10
Suppose 2*r + 120 = 225*i - 223*i, -5*i - r + 312 = 0. Calculate the highest common factor of 310 and i.
62
Suppose -2*j - 2*x = -26 - 82, -2*j = -3*x - 138. What is the highest common factor of 110 and j?
10
Suppose 0 = 2*l - 3*u - 9727, l + 1329 = -u + 6175. What is the highest common factor of l and 207?
23
Suppose 102*r - 1686 = 96*r. Suppose 0 = -n - r + 344. Calculate the greatest common factor of 35 and n.
7
Suppose 4*k = -15 + 79. Suppose 4*r - 18 = -2*d, -4 + 10 = 3*r - d. Suppose -84 = -a + l, -2*a + 60 = r*l - 88. Calculate the highest common divisor of a and k.
16
Let m(u) = 7*u**2 - 12*u - 270. Let q be m(35). What is the greatest common divisor of 95 and q?
95
Suppose 86 = c - 5*w, -517*c + 2*w + 74 = -516*c. What is the greatest common factor of c and 242?
22
Let a be (-21 - (-406)/(-28))/((-1)/(-2) - 1). What is the highest common divisor of a and 24069?
71
Let m = 1176 + -1110. Let h be (4 + -3)/((-3)/132*-1). What is the greatest common divisor of m and h?
22
Suppose 0 = 2*c - 2*p - 20588, 3813*c - 10278 = 3812*c - 3*p. What is the greatest common divisor of c and 45?
15
Let h(c) = 51*c**2 - 3*c + 64. Let g be h(12). What is the highest common divisor of 97 and g?
97
Suppose 18*m = 14*m + 4. Let k be (3 + 2 - 4)*7*m. Let c = k + 19. Calculate the highest common factor of 65 and c.
13
Let h be ((-8)/(-40) + (-67)/(-15))*(-24)/(-1). What is the highest common factor of 928 and h?
16
Suppose 0 = 5*i - 2*i + 15, 15 = 2*z + 3*i. Let f = 129 - 124. Suppose 2*w = -2*w + f*g + 65, -4*w = 5*g - z. What is the greatest common factor of w and 80?
10
Suppose 0 = -5*h - 0*f + 2*f + 47, -4*f = 5*h - 41. Let v = -435 - -401. Let g be ((-12)/(-10))/(v/(-425)). What is the greatest common divisor of g and h?
3
Let y be (10246 - (36/3 - (-13 + 19))) + 2. Calculate the highest common divisor of 18 and y.
18
Suppose -5*c + 240 = -p, 0 = c + 23*p - 27*p - 67. Suppose -46*y = -c*y + 407. What is the greatest common factor of 37 and y?
37
Let v(t) = -306*t + 253. Let u be v(-9). Calculate the greatest common divisor of u and 485.
97
Let o(p) = -p**3 + 7*p**2 - 22*p + 124. Let k be o(6). Let y(v) = 3*v + 4. Let l be y(-5). Let x = k + l. What is the greatest common factor of x and 68?
17
Suppose 44*i - 33771 = 4245. What is the highest common divisor of 108 and i?
108
Let r be ((-279)/155 - (-8)/10)*0. Suppose r = 4*x - 3*j - 44, 2*x - 20 = -2*j + 2. Calculate the greatest common divisor of 275 and x.
11
Let l = 40 - 40. Let p(r) = -r**3 - r**2 + 15. Let n be p(l). Suppose 12*f - n*f = -6. What is the greatest common factor of f and 2?
2
Suppose 0*g - 6*g = 5*g. Let q be (35/7 - -91) + g + 3. Let m = 4 - -5. Calculate the greatest common divisor of q and m.
9
Suppose -23*s + 615 = -22*s. Let l = s - 601. Calculate the highest common factor of l and 266.
14
Let l be -7 - -7 - 5 - -44. Let t = 1 + -8. Let w = t + l. What is the greatest common divisor of w and 2?
2
Suppose s - 2*s = -3*z + 37, 3*s + 46 = 4*z. Let w be 20 - (-30)/(z + -7). What is the greatest common factor of w and 1175?
25
Let g be ((-60)/405)/((-2)/(-3)) + 775/45. What is the greatest common factor of g and 2057?
17
Let l = -145 - -159. Let t = -46 - -158. Calculate the highest common factor of t and l.
14
Suppose -98*s - 13250 = -151*s. Calculate the greatest common divisor of s and 100.
50
Let z be (-4)/(2 - (-621)/(-306)). Suppose -121 = -2*l + 3*i + 15, -z = -2*l - 4*i. Calculate the greatest common factor of 34 and l.
34
Suppose -8*x = -134 + 118. Let p be x*(25 - 0/6). Calculate the greatest common factor of 600 and p.
50
Let f = -1154 + 1616. Let j be (f/30 + -6)*5. Calculate the greatest common factor of 611 and j.
47
Let r(u) = -u**2 + 28*u + 66. Let x be r(27). Suppose -16*k = -x - 131. What is the highest common factor of k and 4?
2
Suppose -5*n = 2*o - 169, -o = -n - 146 + 51. What is the highest common divisor of o and 8188?
92
Suppose 3*u - 3*d - 1459 = -u, -u = 5*d - 359. Suppose 5*a = 54 - u. Let s = 93 + a. What is the highest common factor of 62 and s?
31
Suppose 4*i - 3 = 49. Let l be 2244/16 + 2/(-8)*1. Suppose -3*z + i*z - l = 0. Calculate the highest common factor of 21 and z.
7
Suppose -5*r = -5*o, 8*r = -2*o + 12*r. Let n be (o + 24)*(-7)/((-14)/16). Calculate the greatest common divisor of 256 and n.
64
Suppose -364*g - 3*m = -366*g + 145, 5*g - 335 = 2*m. Let a be ((-52)/5)/((-4)/30). Calculate the greatest common divisor of g and a.
13
Let x(t) = -2*t**2 + 131*t - 53. Let w be x(65). Let p be (-1)/(-8)*6*8. What is the highest common factor of p and w?
6
Suppose -10*l - 31 = 19. Let u(a) = -a**3 - 3*a**2 + 9*a - 5. Let g be u(l). Let s be (43 - g) + 2/(-2). Calculate the greatest common factor of s and 105.
21
Let g(i) = 7*i + 131. Let h be g(-20). Let y be (-2 - 12/(-9))/(h/2970). Calculate the highest common divisor of y and 132.
44
Let l be 3*2/((-30)/(-415)). Let y = -58 + l. Suppose 4*h = -2*r + 120, -2*r + 125 = r - 5*h. What is the highest common factor of y and r?
25
Suppose 0*g + 3 = g. Suppose 0*v + g*v - 268 = -4*a, 0 = -3*a - 15. Let h be (-1 + 2 + -3)*-16. What is the greatest common factor of h and v?
32
Let s = -8291 - -8588. Calculate the greatest common divisor of s and 429.
33
Let c be 25 - (-5 + (-12)/(-4)). Let i = -2005 + 2545. Calculate the greatest common factor of c and i.
27
Suppose 6*l + 43 - 313 = 0. Calculate the greatest common factor of 1425 and l.
15
Suppose 77 | {
"pile_set_name": "DM Mathematics"
} |
et p(k) be the second derivative of 6*k**7/7 - k**6/15 + k**5/10 + 17*k**4/12 + 17*k**3/3 + 7*k - 13. Find the third derivative of p(i) wrt i.
2160*i**2 - 48*i + 12
Let n(b) = -b - 12. Let q(m) = -601*m**2 + 4047*m + 12. Let u(c) = -2*n(c) - 2*q(c). What is the second derivative of u(v) wrt v?
2404
Let b = 53 + -48. What is the second derivative of 313*r**b - 20*r - 232*r**5 + 2*r wrt r?
1620*r**3
Let q be ((-360)/70)/(1/14*1). Let z be (q/15)/(-6)*35. What is the third derivative of 7*p**5 + 6*p**5 + 24*p**5 - z*p**2 wrt p?
2220*p**2
Suppose 145 = -108*g + 793. Let i(p) be the first derivative of -34 + 31/3*p**3 + g*p + 0*p**2. What is the derivative of i(a) wrt a?
62*a
Let l(p) = 2*p**2 - p - 12. Let m be l(4). Find the second derivative of -6*u + 76*u**2 - 9*u**2 - m*u**2 - 5 + 1 wrt u.
102
Suppose -3 = -3*c + 2*c. Find the second derivative of -15*q**c - 6344*q**2 - 80*q + 6344*q**2 wrt q.
-90*q
Let x(h) = h**3 - 4*h**2 + 7*h - 7. Let s be x(6). Suppose 0 = 2*t - t + 4*o - 23, o = -4*t + s. What is the first derivative of 5 - 4 + 11*r**4 - t*r**4 wrt r?
-64*r**3
Let j(y) be the third derivative of y**6/24 - y**4/6 + 32*y**3 + 13*y**2 - 11. Find the first derivative of j(g) wrt g.
15*g**2 - 4
Suppose -16 - 12 = -7*o. Suppose 0 = 2*b - o + 14, 0 = 3*x - b - 11. What is the second derivative of 0*v - v + 5*v - 9*v**x + v wrt v?
-18
Let r(d) = -30*d - 115. Let l(v) = v**3 - 27*v**2 + 27*v - 19. Let t be l(26). Let h(j) = 20*j + 76. Let y(m) = t*h(m) + 5*r(m). Differentiate y(u) wrt u.
-10
Find the third derivative of 1198*g - 5*g**2 - 2318*g + 6*g**2 + 0*g**2 + 720*g**3 - 3*g**2 wrt g.
4320
Let m be 2*3 - -10*4/(-10). Find the third derivative of 24*r + 44*r**m - 19*r - 5*r + 72*r**5 wrt r.
4320*r**2
What is the third derivative of 5183*w**4 + 1907*w**2 + 2712*w**2 - 1407*w**4 wrt w?
90624*w
Let p be (-12)/8*4*(-20)/15. What is the third derivative of -99*b**2 - 6541*b**5 + 8*b**3 + 6543*b**5 + p*b**3 wrt b?
120*b**2 + 96
What is the second derivative of 9*y**2 - 39944 + 39921 + 5*y - 8*y - 4*y**2 + 268*y**3 - 8*y wrt y?
1608*y + 10
Let a(f) = -601*f**2 - 38*f + 4. Let u(i) = 600*i**2 + 32*i - 5. Let n(l) = 5*a(l) + 4*u(l). What is the second derivative of n(w) wrt w?
-1210
Let u(l) = -l**3 + 8*l**2 - 5*l - 8. Let n = 33 + -26. Let d be u(n). Find the third derivative of -9*a**d - 5*a**2 - 6*a**2 + 13*a**2 wrt a.
-1080*a**3
Let b = 98 - 79. Differentiate b + 69*r**4 - 3 - 83 - 35 with respect to r.
276*r**3
Let m(j) be the third derivative of 11*j**5/8 - 31*j**4/12 - 131*j**3/6 + 6*j**2 + 13*j. Let c(g) be the first derivative of m(g). Differentiate c(i) wrt i.
165
Let v(y) be the second derivative of -6 - 43/2*y**3 - 31/6*y**4 - 1/10*y**5 - 15*y + 0*y**2. Find the second derivative of v(b) wrt b.
-12*b - 124
Let z(p) be the third derivative of -2229*p**6/40 - 1649*p**5/15 + 467*p**2. Find the third derivative of z(a) wrt a.
-40122
Let y(x) = -3. Let p(r) = 218*r**3 + 67*r**3 + 17*r**3 - 9 + 89*r**2. Let z(q) = -p(q) + 3*y(q). Find the third derivative of z(b) wrt b.
-1812
Let c be 5 - (-4)/(3 + -5). Suppose -c*m + 16 = m. What is the second derivative of 14*a**3 + a + m*a**3 - a**3 + 5*a wrt a?
102*a
Let z(x) be the third derivative of 0*x**3 + x**2 + 0*x + 37 - 1/2*x**5 + 37/24*x**4. What is the second derivative of z(h) wrt h?
-60
Let h be ((-21)/(-15) - 1)*-20. Let t = -6 - h. What is the second derivative of r + 3*r**2 - 4*r**t + r**2 - 5*r**2 wrt r?
-10
What is the third derivative of 2*m**2 + 3447*m**5 - 31*m - 17 - 38*m - 50*m + 10 wrt m?
206820*m**2
Let l(k) be the second derivative of -12825*k**8/56 - 2539*k**4/12 + 13487*k. What is the third derivative of l(t) wrt t?
-1539000*t**3
Let r = 53 + -15. Differentiate -8 - 1 + 12*q - 19 + r*q wrt q.
50
Suppose -2*p + 6*p - 16 = -3*a, 0 = -2*a + 2*p + 6. Suppose -i = -a*i + 30. What is the third derivative of -v**3 + 9*v**3 - 2*v**3 + i*v**2 wrt v?
36
Let h(p) be the first derivative of 0*p**3 + 85/6*p**6 - 30*p**2 - 25 + 0*p**5 + 0*p + 0*p**4. Find the second derivative of h(y) wrt y.
1700*y**3
Let d(m) = 1362*m + 4503. Let q(y) = 272*y + 902. Let h(t) = -2*d(t) + 11*q(t). What is the first derivative of h(b) wrt b?
268
Let k(s) be the first derivative of 0*s**3 - 18/5*s**5 - 3 + 0*s**4 + 56*s + 0*s**2. Find the first derivative of k(h) wrt h.
-72*h**3
Find the second derivative of 5514*k**4 - 5919*k - 314394*k**3 + 314394*k**3 + 336*k wrt k.
66168*k**2
Let h(v) be the third derivative of 8 - 5/24*v**4 + 0*v**7 + 0*v**3 + 1/336*v**8 + 0*v + 3/20*v**6 - v**2 + 0*v**5. What is the second derivative of h(r) wrt r?
20*r**3 + 108*r
Let p(i) be the first derivative of 224*i**3/3 + 902*i**2 - 1702. What is the second derivative of p(u) wrt u?
448
Let j = -68 - -74. What is the second derivative of -8*f**2 - 17*f - j*f - 2*f**3 + 34*f wrt f?
-12*f - 16
Let q(r) be the second derivative of 2 + 11/6*r**6 + 0*r**4 - 4*r**2 + 0*r**3 - 3*r + 0*r**5. What is the first derivative of q(a) wrt a?
220*a**3
Let d = 119 + -173. Let l = d + 55. What is the derivative of -12*m**3 + 1 + l + 22*m**3 + 0 wrt m?
30*m**2
Find the third derivative of -15031*o**3 + 2200*o**3 + 6 + 23*o**2 - 16*o**2 + 38*o**2 - 4 wrt o.
-76986
What is the second derivative of 18*y + 110*y + 1704*y**2 - 10 - 232*y wrt y?
3408
Suppose -9*o + 10*o = 3*i + 107, i = 3*o - 281. What is the first derivative of -o*w**2 + 100 + 7 - 41 + 54 wrt w?
-184*w
Let j = 51 + -47. Suppose u - 6*u = j*y - 44, 4*u - 10 = y. Find the third derivative of -390*z**2 + y*z**5 + 13*z**5 + 369*z**2 wrt z.
1140*z**2
Let f(c) be the second derivative of -175*c**5/4 + 63*c**3 + 3*c**2/2 - 2522*c. Find the second derivative of f(i) wrt i.
-5250*i
Let o(f) be the third derivative of -1/3*f**3 + 0*f**5 + 0*f - 1 + 53/120*f**6 + 0*f**4 + 103*f**2. What is the derivative of o(i) wrt i?
159*i**2
Let q(m) = -m**3 - 6*m**2 + 9*m + 16. Let y(f) = 4*f - 3. Let r be y(-1). Let l be q(r). Find the third derivative of -4 - 8 + 12 - 6*h**l + 18*h**3 wrt h.
108
Let q = 83 - 61. Let b = q - 7. What is the first derivative of 2 - b + 6 + 2 - v**3 wrt v?
-3*v**2
What is the second derivative of 0 + 723*u**2 - 903*u - 5 + 3*u**3 - 1616*u + 5 wrt u?
18*u + 1446
Let k = 79 + -77. Find the third derivative of -5*d**2 - 9*d**2 - 2*d**k - 6*d**2 + 41*d**5 wrt d.
2460*d**2
Let q(d) = -3896*d**2 - 14*d - 307. Let o(h) = -1947*h**2 - 7*h - 149. Let a(j) = -13*o(j) + 6*q(j). What is the second derivative of a(l) wrt l?
3870
Let n(d) = d - 67. Let w be n(16). Let h = w - -72. What is the derivative of 26*o - 28 - h + 36 wrt o?
26
Let n(o) = -41594*o**4 - 49*o + 43197. Let u(q) = 1733*q**4 + 2*q - 1800. Let c(i) = -2*n(i) - 49*u(i). What is the derivative of c(z) wrt z?
-6916*z**3
What is the third derivative of 7845557*i**6 + 55*i**2 - 7843753*i**6 + 2254*i**2 wrt i?
216480*i**3
Let c be ((-6)/(-2) + -2)/((-13)/(-286)). What is the third derivative of 2*s - 94*s**3 + 27*s**2 - c*s**2 + 48*s**2 + 8*s**3 wrt s?
-516
Let h(n) = -2 - 4 + 11*n**2 - 2 - n**3 + 0 - 9*n. Let d be h(10). What is the derivative of -5*t**2 + 4*t**d - 5 + t**2 + 14*t**4 wrt t?
56*t**3
Suppose 0 = 102*x - 108*x + 216. What is the first derivative of 7*h**3 + h**3 + 24 + x + 4*h**3 wrt h?
36*h**2
What is the third derivative of 7606*x**2 + 3657882*x + 10024*x**3 - 3657882*x wrt x?
60144
Let g(o) = 5*o**2 + 36*o + 9. Let x be g(-7). Suppose -x*i = 1 + 3, -2*d = -5*i - 76. Differentiate -23*l - d - 31 + 53 wrt l.
-23
Let m(u) be the second derivative of -39/2*u**3 + u - 3 - 85/2*u**2. What is the first derivative of m(n) wrt n?
-117
Let q(s) = s**2 + 8*s - 4. Let d(j) = -120*j**2 - 14*j + 6211. Let a(h) = -d(h) - 2*q(h). What is the first derivative of a(g) wrt g?
236*g - 2
Let p(z) = -149*z**2 - 4*z + 1097. Let g(c) = -c**2 + c - 5. Let j(o) = 2*g(o) + p(o). What is the first derivative of j(i) wrt i?
-302*i - 2
Let c be 123/9 - (-4)/(-6). Let p(u) = 46*u - 136. Let l be p(3). Differentiate 16*m**l - 33*m**2 + c - 8*m**2 + 2 with respect to m.
-50*m
What is the second derivative of 933*j**2 + 966*j + 591 + 588 - 1179 - 2419*j**2 wrt j?
-2972
Let g(b) be the second derivative of 534*b**6/5 + 398*b**4 - 494*b - 4. What is the third derivative of g(q) wrt q?
76896*q
Let g(d) = -d**2 + 2. Let i(c) = 112*c**2 + 3*c. Let k = | {
"pile_set_name": "DM Mathematics"
} |
0 = -6*d - 8 + 44. Let a(h) = -h**3 + 7*h**2 - 5*h. Calculate a(d).
6
Suppose 0 = -4*g - 19 - 1. Let f(o) = -13*o**2 + 7*o + 6. Let y(m) = 7*m**2 - 4*m - 3. Let k(d) = -6*f(d) - 11*y(d). Calculate k(g).
12
Let a be (-1 - -11) + (11 - 8). Suppose -2*z = 3*b, z - 4*b = b + a. Let t(v) = v**2 + 6*v**3 - z*v**3 + 2*v - 5*v**3 + 1. Determine t(2).
-7
Let c(f) = f**3 + 5*f**2 + 2. Let w be c(-5). Let b be (3/(3/(-2)))/w. Let m(s) = -2*s + 4. Let y(u) = -3*u + 3. Let h(v) = 2*m(v) - 3*y(v). Give h(b).
-6
Let m = -49 + 43. Let w(u) = u**2 + 3*u + 10. Let k = 2 - 3. Let d(f) = f - 1. Let n(r) = k*w(r) - 4*d(r). Calculate n(m).
0
Let j(m) = m. Let w(i) = -95*i**3 + 2*i**2 + 2*i + 1. Let z be w(-1). Suppose k = 4*k - z. Let l be k/(-6) - (-1)/3. Give j(l).
-5
Let n(y) = -3*y - 9. Let i(u) = -2*u - 45. Let w be i(-19). Calculate n(w).
12
Let y = 10 - 10. Let n(o) = -o - 13. What is n(y)?
-13
Let y(c) = -11*c**2 + 11*c + 3. Let m(u) = -4*u**2 + 4*u + 1. Let n(l) = -8*m(l) + 3*y(l). Suppose 4*p - p = 0. What is n(p)?
1
Let q(y) = -y**3 + y**2 + 3*y + 2. Suppose 8 = r + 4, 0 = 2*g + 2*r - 12. Suppose k + g*k = -2*j - 4, 3*k = -3*j - 6. What is q(j)?
8
Let s(f) = -f**3 + 10*f**2 - 11*f + 5. Let j be s(9). Let l = -16 - j. Let t(p) = p. Determine t(l).
-3
Suppose -11 = -3*d + 10. Let b(c) = -c**2 + 8*c - 1. Let u be b(d). Let z(h) = h**3 - 7*h**2 + 8*h - 3. Determine z(u).
9
Let b(l) = l**3 - 5*l**2 + 3*l + 1. Let k(w) = -2*w**2 - 7*w - 5. Let f be k(-4). Let t be (-2)/(-9) + 11/f. Let d be (8 - t - 1)/2. Give b(d).
-3
Let m be 1/((-1)/(-4)) - 1. Suppose -a = 5*l - 19, 0 = m*l + 3*a - 5*a - 14. Let h(r) = r**3 - 3*r**2 - 4*r - 4. What is h(l)?
-4
Suppose -2*q - 5*o = 5, 4*q + 16 + 1 = -3*o. Let p(b) = 2*b**2 + 8 + 2 + 11*b - 2. Let h(d) = -d**2 - 5*d - 4. Let v(z) = q*h(z) - 2*p(z). Give v(-4).
8
Let w(y) be the second derivative of 1/6*y**4 + 0 + 3/2*y**2 + 2/3*y**3 + 3*y. What is w(-3)?
9
Let m(g) = 2*g**3 + 6*g**2 - 1. Let x(l) = -l - 2*l**3 + 5*l**2 + 0*l**3 + 2*l**3 + l**3. Let t = -2 - 0. Let o(n) = t*m(n) + 3*x(n). Give o(2).
0
Suppose f + 4 = 2*f. Suppose 3*j + 5 = -f. Let x(t) be the second derivative of -t**3/6 - t**2/2 + t + 1. Give x(j).
2
Let q(h) = h + 2. Let v be (8/(-6))/((-6)/(-9)). Let d be q(v). Let y(w) = -w + d - 6 + 2*w - 4*w. Give y(-4).
6
Let k(q) be the first derivative of q**2/2 - 4*q + 1. Let o(v) = v - 4. Let a(h) = -6*k(h) + 5*o(h). What is a(6)?
-2
Let b(t) = -3*t - 3. Suppose 0 = -2*s + m + 3, 0 = -3*m + 6 + 3. Let k = -5 + s. Calculate b(k).
3
Let y(a) = -a**2 - a. Suppose -2 = n - s + 3, -4*n - s = 5. Calculate y(n).
-2
Let m(k) = -9*k + 4*k - 10*k. What is m(1)?
-15
Let c(b) = 2*b**3 + 2*b**2 - 2*b + 1. Let r(i) = -i**3 - 1. Let y be r(-2). Let a = y - 6. What is c(a)?
3
Let p(z) = -5*z + 3 - z + 1 + z**2 + 2*z. Determine p(4).
4
Let p = 1 + -1. Let a be (2 + -5)/(-6)*p. Let w(s) = s**3 - s**2 + s - 6. Calculate w(a).
-6
Suppose 16*d = 8*d + 48. Let s(x) = x - 2. Determine s(d).
4
Let k(d) = -d**3 - 11*d**2 - 4*d - 6. Let p(r) = -2*r**3 - 23*r**2 - 8*r - 12. Let v(x) = 13*k(x) - 6*p(x). Determine v(-4).
-6
Let d = -14 + 14. Let g(y) = y**3 + 14. Determine g(d).
14
Let s(f) = 3*f - 3. Let i = 7 - 11. Let j be (-4)/6*12/i. Calculate s(j).
3
Let n(y) = -y. Suppose -30 = -3*u + i, 5*u - 3*i - 46 = 4. Let m = 5 - u. Give n(m).
5
Let w be (-8)/6*-3 - 0/(-3). Let z(i) be the second derivative of -1/20*i**5 - i + 0*i**w + 0 + 4*i**2 - 1/6*i**3. Calculate z(0).
8
Suppose 6*x + 6 = 7*x. Let f(t) = -x + 2 + 0 - 4 + 7*t. Let w(n) = -n + 1. Let d(u) = f(u) + 5*w(u). Calculate d(5).
7
Let a(s) = s**3 + s + 5. Suppose -f - 2*t - 8 = -6*t, 2*f + 3*t = 17. Suppose 4 = -2*c + 6*c + f*y, -4*c = -y + 1. What is a(c)?
5
Let s(g) = 2*g**2 - 5 + 54*g - 52*g - 3*g**2. What is s(4)?
-13
Let s(v) = -v**2 + 3*v + 7. Let j = -5 + 13. Let m = 14 - j. Give s(m).
-11
Let g(l) = -2*l**2 - 2 + 1 + 19*l - 19*l + l**3. Give g(2).
-1
Let o(j) = 3*j**3 + 9*j**2 - 8*j + 7. Let r(d) = 4*d**3 + 9*d**2 - 8*d + 7. Let t(x) = -5*o(x) + 4*r(x). What is t(8)?
-7
Let s(x) = 4*x - 3. Let f be -1*(-24)/(-2)*1/(-2). Calculate s(f).
21
Let i(k) be the second derivative of k**5/120 + k**4/24 + k**3/2 + k. Let j(y) be the second derivative of i(y). What is j(0)?
1
Let z(f) = 1. Let c(s) = -s - 1. Let l(d) = -2*c(d) + z(d). What is l(-3)?
-3
Let f(k) = 0*k + 4*k - 5 - 5*k. Suppose 22*d = 28*d + 36. Determine f(d).
1
Suppose 0*t + 1 = z - t, 5*z - 17 = -t. Let g(u) be the third derivative of 0*u + 1/12*u**4 - 6*u**2 - 1/60*u**5 + 1/3*u**3 + 0. Determine g(z).
-1
Let g(n) be the third derivative of -n**4/24 + 2*n**3 + n**2. Calculate g(5).
7
Let q(m) be the third derivative of -m**5/60 + m**3/3 - m**2. Let k(s) = -s**2 - 7*s + 11. Let w be k(-8). Let z be (0 - 0/(-1))/w. Give q(z).
2
Let d = -12 - -16. Let o be 7/(28/32) - d. Let l(k) = 4*k - 3. Determine l(o).
13
Suppose 2*f + 3 = 7. Suppose -4*n + 12 = -5*i, -f*i - 15 = -7*i - 5*n. Let p(k) be the second derivative of k**4/12 - 7*k**2/2 - 2*k. Calculate p(i).
-7
Let b(a) = 17*a**2 - 16*a**2 - a - a. Determine b(3).
3
Let p(t) = 2*t + 33. Let k be p(-15). Let l(v) = v**3 - 3*v**2 - 2*v + 4. What is l(k)?
-2
Let i(h) = -13 - h + 28 - 12. What is i(-5)?
8
Let n(l) be the first derivative of -4*l + l**2 + 2*l - 5*l + 2 + l. Determine n(4).
2
Let y(r) = -3*r**3 + 5*r**2 + 4*r + 1. Let q = 1 + 4. Let v(n) = -4*n**3 + 6*n**2 + 5*n + 1. Let w(s) = q*v(s) - 6*y(s). Calculate w(1).
-2
Let s(z) = z - 2. Suppose 5*p = 4 + 121. Suppose -p = -3*h - 2*h. Let t be s(h). Let l(w) = -4*w + 2. Determine l(t).
-10
Let p = 7 - 4. Suppose -9 = -p*l + 3*c, -7*c = -3*c - 8. Suppose -f + 3*a = -l*f - 14, -2*f + a = 12. Let r(t) = t + 4. Give r(f).
-1
Let s = -4 - -4. Suppose 4*r - 9 = 5*f, 3*f + r + 2 = -s*r. Let j(y) = -1 + 4*y + 0 + 1 + 1. What is j(f)?
-3
Suppose 3*n + 1 = -11. Let w(z) = 7*z**3 + 13*z**2 + 5. Let k(x) = -3*x**3 - 6*x**2 - 2. Suppose -20 = -9*r + 5*r. Let a(v) = r*k(v) + 2*w(v). Determine a(n).
0
Let t(k) be the second derivative of -k**4/12 - 7*k**3/6 - k**2/2 + 8*k. What is t(-6)?
5
Let c(p) = 0 - 4*p - p + p + p**2 + 2. Give c(3).
-1
Let j(w) = 9*w**3 + 5*w**2 - 2*w. Let i(r) = -r**2 + r. Let d(n) = 3*i(n) + j(n). Let s be (2 + (-4)/6)*3. Let o be (s/12)/(1/(-3)). What is d(o)?
-8
Let s(g) = -1 - 1 + 3 - 2. Let t(l) = l. Let m(a) = s(a) - 6*t(a). Suppose f = -4*f + 5*n - 15, 18 = -2*f + 5*n. Determine m(f).
-7
Let u(k) = 107*k + 2 - 1 - 108*k. Calculate u(2).
-1
Let v(p) be the third derivative of 11*p**6/120 + p**5/60 - p**3/6 - p**2. Suppose 0 = 4*a + a - 3*d - 8, -d = 5*a - 4. Determine v(a).
11
Let g = -608 + 612. Let t(w) be the third derivative of -w**6/120 + w**5/15 + w**4/8 - w**3/6 + w**2. Give t(g).
11
Suppose 0*s - 90 = -5*s. Suppose 0*h - 4*z = h - 15, -3*h - 3*z = -s. Let u(a) = -a + 3. What is u(h)?
0
Let u(m) = -3 + 3*m + m**2 - 5*m + 2 - m. Determine u(4).
3
Let o be -1*1/(0 + -1). Let z(j) = -2*j + j**2 + 3*j + j**3 + o + 1. Calculate z(0).
2
Let f(p) = 6*p - 2. Let v be 15/(-20) - (-2 + (-18)/(-8)). Determine f(v).
-8
Let w(i) = i - 2*i + 2 + 1. Let f = -17 - -20. Let u be -1 - (-5 + f) - -3. Give w(u).
-1
Let a(t) = -t**3 - 9*t**2 + 11*t + 14. Suppose -17*l - 224 = -54. What is a(l)?
4
Let v(h) = -h**2 - 6 - 2*h - 5*h - 1. Suppose 4*f - 4*c - 60 = 0, 4*c - 13 = -4*f + 7. Let w = f + -15. Give v(w).
3
Let r(j) = -j**2 + 4*j + 4. Let v be r(4). Let h = -2 + v. Let a be 7/14 + (-5)/h. Let l(g) = g**2 + 2*g + 1. Give l(a).
1
Let i(j) = j - 5 + 5 - 4. What is i(-5)?
-9
Let r(b) = -7*b**3 + 14*b**2 + 9*b - 6. Let p(c) = 8*c**3 - 15*c**2 - 9*c + 7. Let l(k) = 6*p(k) + 7*r(k). Calculate l(9).
0
Let c(d) = 13*d + 12. Let k(j) = -26*j - 26. Let g(v) = -13*c(v) - 6*k(v). Determine g(-1).
13
Let j(w) be the first derivative of w**3/3 + 3*w**2/2 + w - 1. Let q be 30/(-6) + (3 - 0). Determine j(q).
-1
Let m(p) = 2*p - 1. Let i(v) = v + 21. Let n be i(-9). Let f = 9 - n. Calculate m(f).
-7
Suppose -2*v - 15 = -7*v. Let r(d) = -2*d**2 + 5*d - 2. Give r(v).
-5
Let u(s) = 14*s**2 + s + 1. Suppose -2*k - 2*k + 2*f + 18 = 0, -2*k - 11 = 3*f. Suppose g + 2 = -h, h = 5*g + k + 2. What is u(h)?
14
Let f(v) = -v**2 + v - 2*v - 2 + 4*v**2. Suppose -2*w + 4*a = 8 - 78, -4*a + 95 = 3*w. Suppose 4*d + 5*t = -w, 2*d = -d - 4*t - 26. Wh | {
"pile_set_name": "DM Mathematics"
} |
te (-5)/(110/(-8))*(-304)/9576*63.
-8/11
What is (8/(-652)*(7/(-2))/7)/((-113)/(-226))?
2/163
Evaluate (297/132*-5)/((-20)/(-32)).
-18
Evaluate (-76)/(-6)*140*1074/(-20048).
-95
Evaluate (6/72*-15)/(10/(-296)).
37
Calculate ((-2)/20*-12)/(((-54)/14)/(5970/(-8358))).
2/9
What is the value of 3*(8600/(-150))/(-4)?
43
Evaluate ((275/22)/((-10)/((-100)/(-15))))/((-2)/(-6)).
-25
Evaluate ((-1*276/63)/((-72)/84))/((-128)/(-576)).
23
What is (34/(170/5))/((-1)/6*(-3)/(-17))?
-34
What is 2*6/(-8)*((-52668)/(-54))/(-19)?
77
((-8690)/(-385))/(-79)*(-7)/54
1/27
((-3)/57)/(33/21318)
-34
What is 3/(819/(-130))*27/(((-130)/4)/(-13))?
-36/7
(-2101)/(-382)*540/66
45
What is 260/(-39)*((-1)/(-18))/((-182)/(-273))?
-5/9
What is the value of (-4)/22*(-2802690)/8940?
57
Evaluate ((-73986)/2926)/(69/161).
-59
What is the value of (5304/6188)/(66/(-28))?
-4/11
Evaluate (-2)/(((-2736)/(-1083))/(-6))*-1*8/2.
-19
What is the value of (50*(-44)/770)/((-1)/((-56)/(-20)))?
8
(((-285)/(-228))/(-6*(-30)/(-432)))/((-10)/(-18))
-27/5
(-5*315/(-300))/(((-108)/64)/9)
-28
Calculate (-1474)/6*(-387)/(-1419).
-67
What is the value of (-6*7/42*6*-1)/(132/1804)?
82
What is (-17)/(-2040)*9*(-234)/351?
-1/20
((-2)/8)/((-9)/(-276))*62/(-620)*30
23
Calculate (109/327)/(3/189).
21
What is ((10250/60)/41)/((-4)/(-4)*5)?
5/6
What is ((-2)/(-27)*(-9)/(-255))/(-213*(-82)/157194)?
2/85
What is the value of 35*(-391)/(-161)*(48/72)/(2/(-3))?
-85
Calculate 1/(-8)*2*20/(-16)*(-393)/655.
-3/16
Calculate (-7)/28*16/(-6)*(145/70)/29.
1/21
(12900/39900*133)/(1/(-3))
-129
Calculate ((-54)/1)/(-9)*(72/9)/(-96).
-1/2
What is -9*78/18*40/6*(-46)/(-184)?
-65
Calculate (-3)/((-33)/34980*-53).
-60
Evaluate 10/(-5)*(-1356)/(-339).
-8
What is (14768/195)/((-40)/100)*(-3)/(-4)?
-142
((-2709)/1505)/((-5)/(-25))
-9
92/(-90)*36820/7364
-46/9
Calculate (-900)/10*53/((-11130)/63).
27
Calculate 69462/8172*100/34.
25
What is the value of (-8520)/(-69225)*(-39)/(-30)?
4/25
What is the value of (-2)/154*6*616/(-14)?
24/7
What is (264/30)/(78/65*(-21)/(-9))?
22/7
Evaluate (568/(-852))/((-21)/(-9)).
-2/7
What is the value of ((-8070)/(-9415))/((-72)/(-4))?
1/21
Calculate (-12259)/(-897)*12/(16/(-4)).
-41
((-8)/(-196)*434)/(11/(2695/(-14))*5)
-62
((-32)/136)/(234/(-25857)*(-13)/1)
-2
What is ((-12)/(-9))/((-23)/(61272/32)*-3)?
37
What is the value of ((-12)/((-2304)/(-80))*4)/(((-2)/39)/(-2))?
-65
Calculate 133/418*22*65/(-13).
-35
Calculate 3/56*(1/(161/46))/(36/56).
1/42
(16/(-22))/(((-468444)/(-1545))/379)
-10/11
Calculate (1120/(-3136))/((6/56)/(2106/(-108))).
65
What is (392/(227752/2241))/(((-6)/(-35)*-1)/(-2))?
45
What is the value of (-5)/(3*1*6/(-252)*36/(-18))?
-35
What is the value of ((-125)/400)/(120/(-144))?
3/8
Evaluate ((-36778)/(-142))/(5/(-5)*-7).
37
What is ((-2)/22)/((-2145)/70785)?
3
What is 1/(-48)*-88*(-36)/(-2904)?
1/44
Calculate (30/(-135))/(1/(-45)*-18).
-5/9
What is ((-153850)/502275)/(2/(-111))?
17
Evaluate (-106)/(38690/219)*-145.
87
What is the value of (12/20)/((25064/(-12050))/(4/(-30)))?
1/26
What is the value of 1*(368/(-112))/23*-3*5/(-300)?
-1/140
What is (-12*40/(-16))/((-2)/(5/(1275/30)))?
-30/17
What is (96/(-63)*7/(-6))/(22/275*-25)?
-8/9
(20/3675*-3)/((2/(-25))/(38/570))
2/147
(53/15688*259)/(4/96)
21
Calculate (3/4)/((-252)/75264*28).
-8
What is the value of (517/(-11))/94*42/5*(-80)/(-16)?
-21
10/6*1890/(4284/(-68))
-50
Evaluate (10438/5219)/(76/(-4)).
-2/19
((-79)/((-12640)/(-512)))/(6/(-5*3/3))
8/3
What is (48/(-144))/(9*8/(-24408))?
113
What is ((-1872)/(-7800))/(3/(-5)*20/15)?
-3/10
What is ((-20)/(-1470))/((-1)/3)*24115/(-265)?
26/7
What is ((-390)/8)/((-212043)/(-391464))?
-90
Calculate -6*(-24)/(-16)*((-225)/(-60))/((-6)/16).
90
Evaluate (-97588)/(-132216)*8/31.
4/21
Calculate (2961/105)/(17343/33210).
54
What is ((312/(-7488))/((-1)/3))/(1/24)?
3
(-54)/450*80*5
-48
What is the value of -33*5*112/(-83160)?
2/9
(7/(-14)*15)/(4/72*(-29106)/(-196))
-10/11
Calculate (27/(1134/(-56)))/(10/(-255)).
34
Calculate ((-12)/(-63))/((-6380)/(-957))*(-10)/(-12).
1/42
What is (68/(-6120))/(53/1060)?
-2/9
What is (-7425)/81*(-369)/(-451)?
-75
Evaluate ((-9)/(-2))/((-15)/(-40)*1100/(-5775)).
-63
What is the value of (26/4)/((-37)/(5365/(-58))*85/(-476))?
-91
Calculate (-45)/(-8)*71*(-146)/(-15549)*32.
120
What is the value of 14/(-4)*4/(-16)*(12880/(-28))/(-23)?
35/2
What is the value of (7/(38/(41040/(-1764))))/(((-4)/(-42))/1)?
-45
What is ((-2700)/(-1800))/(((-1)/260)/(1/6))?
-65
What is (2198/(-471))/(598/69)?
-7/13
What is (-12)/5*5/(37*(-46)/(-4255))?
-30
Calculate -6*4/(-282)*(-3429)/4572.
-3/47
Calculate 7/2*103/(-8652)*-56.
7/3
Evaluate (-55)/2035*245/(-49)*4/(-10).
-2/37
What is (861/(-205))/(3/(-20)*10)?
14/5
What is the value of (16/(14400/75))/((-17)/(-6))?
1/34
Evaluate (4/(-14))/(626/(-1878)*(-804)/(-14)).
1/67
Evaluate ((-10)/464)/(8330/6664).
-1/58
Calculate (61/22875*75)/(3/((-90)/183)).
-2/61
Calculate ((-1395)/(-310))/(2/(2*6)*(-603)/134).
-6
(-60648)/15960*((-2)/3)/((-6)/9)
-19/5
What is (868/(-6200)*25)/(49/(-20))?
10/7
Calculate 1242/(-920)*10*(-16)/576.
3/8
What is the value of (21/(-14)*-38)/((18*(-7)/(-42))/(-1))?
-19
Evaluate (4884/462)/((-2)/140*10).
-74
Calculate ((-592)/37)/448*-3.
3/28
What is (-515)/15450*360/276?
-1/23
What is (4/(-36))/(52/(-1638))*(-36)/(-7)?
18
What is the value of -12*18/4*-4*(-25)/(-150)?
36
What is the value of 8/((-64)/36)*(-54332)/5202?
47
((-9)/(-54)*3)/(146/(-11972))
-41
What is ((-27)/(-9))/(((-315)/144)/(-35))?
48
Calculate 22/(((-66)/20)/33*6/12*-10).
44
2/(8/66)*10/12*57856/(-18080)
-44
What is the value of ((6/(-15))/((-66)/99))/(11/(7425/15))?
27
((-3)/3)/(-3*3/(-1314))*1147/2294
-73
Calculate 3500/(-2800)*(-36)/10*28/(-6).
-21
What is 3510/(-216)*((-208)/150)/13?
26/15
Evaluate (-92)/(4232/2990)*(-9)/13.
45
What is the value of (-6876)/(-4202)*44/(-4)?
-18
What is -6*714/(-19040)*1*4?
9/10
What is the value of 1/(41/(-19393)*11)?
-43
Calculate (-28)/(-16)*18/(-21)*(-9)/(216/32).
2
What is the value of (-26)/4*6*(12/(-90))/((-12)/90)?
-39
What is the value of 150/(-980)*7*-1*(-2)/1?
-15/7
What is the value of (-4*(-6)/(-5))/((3/6)/((-1250)/500))?
24
((-31936)/9980)/(24/(-465))
62
What is (2/(-24))/((-199)/35820)?
15
What is the value of ((-101)/(-202))/((6/300)/(2/(-4)))?
-25/2
Evaluate 2345/(-268)*(-10)/35*(-1596)/35.
-114
What is (100/(-36))/(34*(-707)/61812)?
50/7
Calculate 83/(37765/(-130))*70*-2.
40
Evaluate (40320/231)/64*(-22)/(-6)*(-8)/70.
-8/7
1*56/6*(-4968)/(-1449)
32
What is ((-44277)/(-13799665))/(6/44)?
2/85
What is (4/(-18)*6)/((-75)/60*330/(-225))?
-8/11
What is the value of ((-2)/(-2)*16*(-54)/72)/(88/4)?
-6/11
What is (-2)/(268/((702/9)/39))?
-1/67
What is (9/1302)/(1317/(-6146))?
-1/31
((-40)/12)/(45*34/(-3213))
7
What is ((-29)/(-17))/(((-125)/17)/(-125))?
29
What is 2*6/(48/(-10))*10/50?
-1/2
(-25)/(-275)*-99*1/(-63)
1/7
12/18*540/(-18)
-20
Evaluate -4*135/216*(-28)/(-2415).
-2/69
Evaluate ((-12)/72)/(25/30)*(168/(-70))/(-12).
-1/25
What is the value of (-801)/42*(316050/225)/(-301)?
89
What is (403*729/(-7533))/(3/(-4))?
52
What is (((-800)/(-600))/((-4)/126))/(12/32)?
-112
What is the value of ((744/(-30))/(-2))/((-98)/49)?
-31/5
What is the value of ((-33)/4)/((-594)/108*(-3)/66)?
-33
What is the value of (-1862945)/25755*(-6)/(-7)?
-62
Evaluate (28/(-18))/(46/(7820/(-70))).
34/9
-13*(10/(-75))/(156/(-130))
-13/9
What is the value of 4*2/6*((-5382)/195)/(-46)?
4/5
What is 90/(-4*(-7)/((-84)/10)*(-96)/(-160))?
-45
((-4)/(-10)*1)/(304/(-12160))*1
-16
76/(-798)*(-7)/((-84)/(-54))
3/7
Calculate 7/(-105)*1975*15/(-25).
79
Evaluate (572/(-2002))/(2*(-4)/1428).
51
Evaluate (62*94/1457)/(-6*22/2).
-2/33
710/(-1562)*66/55
-6/11
What is (-46)/(((-99)/297)/(5/15))?
46
What is (-24)/18*438/4964?
-2/17
(3/15)/((-72)/(-269280)*187)
4
What is the value of 1*9*2346/459?
46
What is the value of 1/(880/(-16))*1/(-4)*(-40)/(-5)?
2/55
Evaluate ((-2694)/9429)/((-1)/(-175)).
-50
What is ((-1588)/419232)/((-4)/(-8))?
-1/132
What is the value of ((-350)/(-105))/(2/12)*36/(-23760)*-44?
4/3
Calculate 71/((-25560)/144)*10/(-68)*1.
1/17
What is the value of (1124325/150)/263*1/4?
57/8
-21*(9/3)/((-45)/(150/(-10)))
-21
-16*(-14)/896*-1*352/(-48)
11/6
Evaluate 2*-1*13*418/(-627).
52/3
Calculate ((-2)/(-8))/(-1)*(-2760)/(-276 | {
"pile_set_name": "DM Mathematics"
} |
0 = 0, -3*c + k*f = 7*f + 5. Let n(i) = -2*i**3 + 2*i + 2. Let t(x) = -x. What is c*t(a) - n(a)?
2*a**3 + 3*a - 2
Let a(y) = -7*y**3 + y**2 + 1. Let j(t) = 3*t**3 - 7*t**2 - 4. Let f(l) = 7*l**3 - 12*l**2 - 7. Let h(n) = -3*f(n) + 5*j(n). Calculate 2*a(c) - 3*h(c).
4*c**3 - c**2 - 1
Let a(y) = -9*y + 11. Let i(c) = 3*c - 4. Give -6*a(z) - 17*i(z).
3*z + 2
Let a(o) = -401*o - 10. Let p(s) = -403*s - 12. Give 6*a(y) - 5*p(y).
-391*y
Let b(k) = k**3 - 1. Let l(s) = 2*s**3 - s**2 + 3. Let d = -137 + 138. Calculate d*l(w) - 3*b(w).
-w**3 - w**2 + 6
Let m(z) = 1. Let a(k) = 7*k - 3. Let i(w) = a(w) + 3*m(w). Let q = 20 + -17. Let u(d) = -3*d + 3*d + 0*d + q*d. Give 2*i(n) - 5*u(n).
-n
Let g(z) = 16*z**2 + 16*z + 15. Let m(b) = 7*b**2 + 9*b + 7. Give -6*g(r) + 13*m(r).
-5*r**2 + 21*r + 1
Let c(r) = -11*r - 3. Suppose w = -2*h - 14, h + 4*w + 10 = 2*w. Let j(a) = 1. Let y(b) = h*j(b) + c(b). Let f(n) = -5*n - 4. What is 13*f(v) - 6*y(v)?
v + 2
Let z(b) be the first derivative of 3*b**2/2 - 4*b + 486. Let u(g) = -14*g + 21. Give -4*u(w) - 21*z(w).
-7*w
Let q(y) = -3*y**3 + 8*y + 3. Let j(f) = -f + 1. What is -5*j(o) - q(o)?
3*o**3 - 3*o - 8
Let r(u) = 2*u + 14. Let y(w) = -w - 1. Suppose 4*t - 2*s = 10, t + s = 4*t - 6. What is t*r(j) + 3*y(j)?
-j + 11
Let r(z) = -4*z**2 + 113 - 56 + z - 58. Let f(a) = -6*a**2 + 6*a. Let m(s) = -5*s**2 + 5*s. Let d(o) = -4*f(o) + 5*m(o). Determine 2*d(n) - r(n).
2*n**2 + n + 1
Let w(m) = -6*m**2 - 28*m - 1. Let y(u) = 5*u**2 + 27*u - 1. Determine -2*w(f) - 3*y(f).
-3*f**2 - 25*f + 5
Let o(y) be the first derivative of 13*y**3/3 + 11*y - 98. Let q(l) = 7*l**2 + 6. Determine 6*o(t) - 11*q(t).
t**2
Let i(s) = 2 + 0 + 5 + 4 - 6*s. Let x(t) = 2*t - 25. Let q(z) = z - 8. Let a(o) = -7*q(o) + 2*x(o). Calculate -11*a(h) + 6*i(h).
-3*h
Let s(v) = 2805*v**2 + 306*v + 306. Let y(r) = -46*r**2 - 5*r - 5. Give 5*s(a) + 306*y(a).
-51*a**2
Let g be 12/(-9)*(-6)/4. Suppose -g*i = 1 - 5. Let u(h) = 11*h - 8*h - 1 - i*h. Let f(n) = 3*n - 3. Give 2*f(s) - 5*u(s).
s - 1
Let u(r) = -69*r**2 - 5*r - 5. Let v(g) = 67*g**2 + 4*g + 4. Give -4*u(k) - 5*v(k).
-59*k**2
Let u be 318 - (2 + -6 + 5). Let o(k) = k**2 - 2 + 317*k - u*k + 3. Let v(q) = -6*q**2 - 7. Give 4*o(t) + v(t).
-2*t**2 - 3
Suppose 2*n - 9 = -21. Let v(u) be the second derivative of -u**4/3 + 3*u**2/2 + 8*u. Let a(d) = d**2 - 1. Calculate n*a(j) - 2*v(j).
2*j**2
Let n(v) = v - 17. Let k(s) = s - 1. Calculate 2*k(t) - n(t).
t + 15
Let c(g) = 8*g + 2. Let d(r) = -2 + 2 - 8*r + r - 2. Let x = -200 + 196. What is x*c(a) - 5*d(a)?
3*a + 2
Let f(s) = -s**2 - 16*s + 2. Let r be f(-16). Suppose 0 - 8 = -r*o. Let h(t) = 2*t**2 + 2*t - 2. Let b(z) = 3*z**2 + 2*z - 3. Give o*h(j) - 3*b(j).
-j**2 + 2*j + 1
Let h(p) = -p + 13. Let r(n) = -1. Let m(b) = -h(b) - 2*r(b). Let l(j) = 1. Let g(w) = -4*l(w) - m(w). Let i = -18 - -12. Let z(t) = 1. Calculate i*z(o) + g(o).
-o + 1
Suppose 4*k + 1 + 5 = -3*l, -3*l - k = 15. Suppose -b - 119 = 6*b. Let o(u) = -6*u**2 + 17*u - 6. Let g(w) = 2*w**2 - 6*w + 2. What is b*g(a) + l*o(a)?
2*a**2 + 2
Let m be 21*(2 - 15/9). Let r(c) = 6*c - 2 - 2 + 0 - 3. Let w(s) = -3*s + 4. What is m*w(u) + 4*r(u)?
3*u
Let h(x) = -382*x - 11. Let o(d) = -190*d - 5. Determine -3*h(l) + 7*o(l).
-184*l - 2
Let y(z) = 1. Let s(x) = -4*x + 5. Let q(j) = -s(j) - 2*y(j). Let t be ((-20)/8)/(2/4). Let r(c) = 2 + 3 + c - 4*c. Calculate t*q(n) - 7*r(n).
n
Let x = -433 + 435. Let b(w) = -w + 5. Let l(n) = -n + 11. Determine x*l(j) - 5*b(j).
3*j - 3
Let g be 14/18 - 9/(1215/(-30)). Let w(v) = v**2 + v. Let k(b) = -9*b. Determine g*k(n) + 9*w(n).
9*n**2
Let u(s) = -2*s**2 + 720*s**3 + 0*s**2 - 3*s**2 - 705*s**3 + s**2 + 13*s. Let f(b) = 7*b**3 - 2*b**2 + 6*b. Determine 13*f(i) - 6*u(i).
i**3 - 2*i**2
Let n(l) = -14*l + 58. Let z(k) = 5*k - 19. Give 6*n(s) + 17*z(s).
s + 25
Let a(x) = 3*x + 1. Let m(s) = -6*s - 2. Let d = 127 - 131. Determine d*m(z) - 7*a(z).
3*z + 1
Let f(u) = -4 - 6*u + 4*u + 5*u. Let m(l) = -5. Let p(i) = -2. Let a(x) = m(x) - 3*p(x). Give -2*a(o) - f(o).
-3*o + 2
Suppose 5*t - 17 = -2. Suppose t - 6 = g. Let x(q) = q**3 + 4*q**2 + 4. Let p(v) = -v**3 - 5*v**2 - 5. Give g*x(n) - 2*p(n).
-n**3 - 2*n**2 - 2
Let m(z) = -4*z**2 + 11*z + 11. Let g be 9/(-12)*-3*(-26)/(-39). Let v(y) be the first derivative of -1/3*y**3 + 3*y - 8 + g*y**2. Give 6*m(d) - 22*v(d).
-2*d**2
Let a(n) = 5*n**2 + 54*n - 21. Let t(r) = r**2 + 11*r - 4. Calculate -2*a(v) + 11*t(v).
v**2 + 13*v - 2
Let i(z) = -466*z**2. Let t(b) = -b**2 - b. Determine i(v) - t(v).
-465*v**2 + v
Let o(z) = 3*z**3 + 3*z**2 + 2. Let i(n) = -16*n**3 - 14*n**2 - 11. Suppose -k - 61 = -72. Determine k*o(j) + 2*i(j).
j**3 + 5*j**2
Let o(m) = -12*m - 5*m - 11*m + 16*m + 5 - m. Let x(d) = 6*d - 2. Determine -4*o(q) - 9*x(q).
-2*q - 2
Let z(j) = -567098 - 5*j + 567098 - 7*j**2. Let i(l) = -l - 2. Let r be i(-5). Let d(n) = -4*n**2 - 3*n. Give r*z(c) - 5*d(c).
-c**2
Let s(l) = l**3 + l + 1. Let w(g) = 4*g**3 - 25*g**2 + 2*g + 4. What is 2*s(k) - w(k)?
-2*k**3 + 25*k**2 - 2
Let l(b) = -1 - 2 - 4*b + 2*b. Let s(j) = -329*j + 17. Let v(z) = 1118*z - 59. Let r(i) = -17*s(i) - 5*v(i). Determine -5*l(u) - 3*r(u).
u - 3
Let k(x) = -x**2 + x. Let s be ((-525)/20)/7*8/6. Let r(h) = -h**3 + 5*h**2 + 5*h + 2. What is s*k(n) - r(n)?
n**3 - 10*n - 2
Let z(k) = 15*k**2 + 4. Let t(f) = 76*f**2 + 19. Let j = 753 + -757. Give j*t(x) + 19*z(x).
-19*x**2
Let f(l) = -l**2 + 2*l. Let u(k) = 3*k**2 + 175*k. Give -f(m) - u(m).
-2*m**2 - 177*m
Let a(l) = -32 + 83*l**2 + 76*l**2 - 160*l**2 + 33. Let c(q) = -17*q**3 - 3*q**2 + 3. Give 3*a(s) - c(s).
17*s**3
Let w(c) = -c**2 + c. Suppose 336*z - 344*z = 48. Let j(r) = r**3 - 6*r**2 + 7*r - 2. Give z*w(p) + j(p).
p**3 + p - 2
Let c(q) = 11*q + 5. Let j(w) = 12 - 8 - 14*w - 5 + 3*w - 5. What is -6*c(h) - 5*j(h)?
-11*h
Let r(s) = 3*s**2 - s + 15. Let d(c) = -5*c**2 + 2*c - 29. Let h(b) = -4*d(b) - 7*r(b). Let f(i) = -2 + 1 + 2. Suppose 44 = 2*z - 4*z. What is z*f(v) + 2*h(v)?
-2*v**2 - 2*v
Let f(w) = 16*w + 5. Let i(u) = 59*u + 39. Let p(d) = 14*d + 9. Let o(b) = -2*i(b) + 9*p(b). Calculate -3*f(t) + 5*o(t).
-8*t
Let z(h) = -1. Let m(r) = 77*r + 3. Give m(f) + 5*z(f).
77*f - 2
Let n(c) = 2*c - 2. Let k(g) = 2*g + 5. Let s(d) = d + 4. Let v(q) = 3*k(q) - 4*s(q). Suppose 0 = b - 3*w + 16, 2*b - 8*w + 13*w = 12. What is b*v(l) + 3*n(l)?
-2*l - 2
Let p(q) = -2*q**2 - 19*q - 1. Let k(y) = 5*y**2 + 39*y + 2. What is 4*k(c) + 9*p(c)?
2*c**2 - 15*c - 1
Let z(r) = -4*r + 1. Let p(n) = 10*n - 5. Determine 3*p(g) + 8*z(g).
-2*g - 7
Let g(h) = -1842*h**2 + 3070*h + 3070. Let u(f) = f**2 - 2*f - 2. Determine 2*g(r) + 3070*u(r).
-614*r**2
Let t(y) = 37*y + 5. Let u(h) = -9*h - 1. Suppose 50*f - 44*f = -12. Calculate f*t(k) - 9*u(k).
7*k - 1
Let l(w) = 3*w**2 - 21*w - 4. Let v(p) = 6*p**2 - 44*p - 9. Give 5*l(n) - 2*v(n).
3*n**2 - 17*n - 2
Let t(a) be the third derivative of -a**4/2 + 11*a**3/6 + 8*a**2. Let f(u) = 6*u - 5. What is 9*f(k) + 4*t(k)?
6*k - 1
Let h(t) be the first derivative of 4*t**2 + 7*t - 15. Let m(r) = -r - 15 + 17 + 2*r + 2*r. Give 2*h(y) - 7*m(y).
-5*y
Let b(x) = 3*x**2 - 2*x + 1. Let r(z) = -z**2. Give b(f) + r(f).
2*f**2 - 2*f + 1
Let q(n) = 2*n**2 + 3*n + 3. Let a(t) = -3*t**2 - 5*t - 7. Give 3*a(m) + 5*q(m).
m**2 - 6
Let x(g) = 1. Let c(p) = p + 8. Let d be c(-9). Suppose -2206*u = -2212*u - 24. Let t(s) = s - 8. Calculate d*t(z) + u*x(z).
-z + 4
Let f(o) = -32*o + 16. Let g(t) = 95*t - 51. What is 13*f(w) + 4*g(w)?
-36*w + 4
Let o(h) = h + 2. Suppose 1 + 9 = 5*g. Suppose -r + g = 11. Let s(z) = -3*z - 9. Let y = 8 + -10. Calculate r*o(q) + y*s(q).
-3*q
Let q(w) = 4*w**2 - 4*w - 3. Let u(z) = 9*z**2 - 8*z - 6. Calculate 13*q(b) - 6*u(b).
-2*b**2 - 4*b - 3
Let o = 412 + -414. Let f(b) = -2*b. Let p(a) = -3*a. Calculate o*f(r) + 2*p(r).
-2*r
Let w(z) = 0*z - 3 - 6*z + 0*z**2 - 6*z**2. Let r(o) be the third derivative of -13*o**5/60 - 13*o**4/24 - o**3 - 279*o**2. Give -4*r(s) + 9*w(s).
-2*s**2 - 2*s - 3
Let v(u) = 2*u**3 - u**2 + 5*u. Let x(n) = 5*n**3 - 2*n**2 + 12*n. What is 9*v(w) - 4*x(w)?
-2*w**3 - w**2 - 3*w
Let p(u) = -9*u**2 + 9*u - 14. Suppose -2*q + 26 = -2*b, 4*q - 51 = 2*b - 21. Let g(z) = -3*z**2 + 3*z - 5. Determine b*g(f) + 4*p(f).
-3*f**2 + 3*f - 1
Let w(l) = -5*l**3 + 11*l**2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
What is the r'th term of 447, 893, 1339, 1785, 2231, 2677?
446*r + 1
What is the q'th term of -87, -82, -69, -42, 5?
q**3 - 2*q**2 + 4*q - 90
What is the b'th term of -20, -68, -148, -260?
-16*b**2 - 4
What is the b'th term of -1994, -3986, -5978, -7970, -9962, -11954?
-1992*b - 2
What is the u'th term of -90, -99, -112, -129?
-2*u**2 - 3*u - 85
What is the m'th term of -13, -12, -11, -10, -9, -8?
m - 14
What is the m'th term of 14, 22, 30, 38?
8*m + 6
What is the i'th term of 15, 33, 65, 117, 195, 305, 453?
i**3 + i**2 + 8*i + 5
What is the s'th term of -143, -292, -441, -590, -739?
-149*s + 6
What is the f'th term of -48, -179, -396, -699, -1088?
-43*f**2 - 2*f - 3
What is the v'th term of 70, 285, 630, 1093, 1662, 2325, 3070, 3885?
-2*v**3 + 77*v**2 - 2*v - 3
What is the c'th term of 103, 206, 317, 442, 587, 758, 961, 1202?
c**3 - 2*c**2 + 102*c + 2
What is the l'th term of -22, -24, -28, -34, -42, -52, -64?
-l**2 + l - 22
What is the c'th term of 40, 58, 122, 256, 484, 830, 1318, 1972?
4*c**3 - c**2 - 7*c + 44
What is the v'th term of 172, 672, 1502, 2662, 4152, 5972, 8122?
165*v**2 + 5*v + 2
What is the u'th term of -93, -148, -193, -222, -229, -208?
u**3 - u**2 - 59*u - 34
What is the r'th term of -135, -271, -409, -549, -691, -835?
-r**2 - 133*r - 1
What is the a'th term of -13, -49, -109, -193, -301, -433?
-12*a**2 - 1
What is the h'th term of -18, -9, 0, 9, 18?
9*h - 27
What is the k'th term of 58, 112, 160, 202, 238?
-3*k**2 + 63*k - 2
What is the d'th term of -16, -41, -70, -103?
-2*d**2 - 19*d + 5
What is the n'th term of 280, 279, 278, 277, 276?
-n + 281
What is the p'th term of -1557, -3121, -4695, -6285, -7897, -9537, -11211?
-p**3 + p**2 - 1560*p + 3
What is the x'th term of -20, -37, -58, -83, -112?
-2*x**2 - 11*x - 7
What is the g'th term of 103, 107, 109, 109?
-g**2 + 7*g + 97
What is the p'th term of -1398, -2797, -4196?
-1399*p + 1
What is the b'th term of -15, -58, -137, -258, -427?
-b**3 - 12*b**2 - 2
What is the s'th term of 192, 375, 548, 705, 840, 947, 1020?
-s**3 + s**2 + 187*s + 5
What is the a'th term of -3416, -6825, -10232, -13637, -17040, -20441, -23840?
a**2 - 3412*a - 5
What is the x'th term of -46, -354, -1190, -2818, -5502, -9506, -15094?
-44*x**3 - 2
What is the u'th term of 1427, 1428, 1429, 1430?
u + 1426
What is the c'th term of -497, -503, -513, -527, -545, -567?
-2*c**2 - 495
What is the g'th term of -39, -124, -279, -510, -823?
-g**3 - 29*g**2 + 9*g - 18
What is the s'th term of -59, -167, -359, -677, -1163?
-7*s**3 - 59*s + 7
What is the n'th term of -214, -313, -400, -469, -514, -529, -508?
n**3 - 106*n - 109
What is the q'th term of -91, -167, -223, -253, -251, -211, -127?
q**3 + 4*q**2 - 95*q - 1
What is the t'th term of 27, 30, 35, 42?
t**2 + 26
What is the i'th term of -246, -253, -264, -279?
-2*i**2 - i - 243
What is the g'th term of 231, 216, 189, 144, 75, -24, -159, -336?
-g**3 - 8*g + 240
What is the a'th term of 338, 334, 332, 332, 334, 338?
a**2 - 7*a + 344
What is the c'th term of 4812, 4810, 4814, 4830, 4864, 4922, 5010?
c**3 - 3*c**2 + 4814
What is the v'th term of 201, 199, 197?
-2*v + 203
What is the d'th term of 1694, 3386, 5078, 6770, 8462?
1692*d + 2
What is the r'th term of -41, -44, -47, -50, -53, -56?
-3*r - 38
What is the z'th term of 21557, 21558, 21559?
z + 21556
What is the q'th term of -11, -43, -99, -179?
-12*q**2 + 4*q - 3
What is the u'th term of 4419, 4409, 4395, 4377, 4355, 4329?
-2*u**2 - 4*u + 4425
What is the k'th term of 7, 11, 17, 25, 35?
k**2 + k + 5
What is the d'th term of 19033, 19032, 19031, 19030?
-d + 19034
What is the c'th term of 437, 439, 441, 443, 445, 447?
2*c + 435
What is the u'th term of -79, -84, -93, -106, -123?
-2*u**2 + u - 78
What is the x'th term of -47, -42, -37?
5*x - 52
What is the b'th term of 456, 463, 474, 489, 508?
2*b**2 + b + 453
What is the p'th term of 32, 41, 64, 107, 176?
p**3 + p**2 - p + 31
What is the o'th term of 56, 59, 62, 65, 68?
3*o + 53
What is the l'th term of 59, 127, 231, 371, 547?
18*l**2 + 14*l + 27
What is the c'th term of -80, -75, -60, -29, 24, 105, 220?
c**3 - c**2 + c - 81
What is the z'th term of -408, -407, -406, -405, -404, -403?
z - 409
What is the v'th term of 83, 82, 65, 20, -65?
-2*v**3 + 4*v**2 + v + 80
What is the a'th term of -215, -241, -277, -317, -355, -385, -401?
a**3 - 11*a**2 - 205
What is the q'th term of 67, 125, 183, 241, 299, 357?
58*q + 9
What is the j'th term of -16282, -32564, -48846, -65128?
-16282*j
What is the x'th term of 226, 225, 228, 235, 246, 261?
2*x**2 - 7*x + 231
What is the p'th term of 1457, 1453, 1447, 1439, 1429, 1417, 1403?
-p**2 - p + 1459
What is the d'th term of 0, -6, -36, -102, -216, -390, -636, -966?
-2*d**3 + 8*d - 6
What is the k'th term of -42, -202, -468, -840, -1318?
-53*k**2 - k + 12
What is the d'th term of 7499, 7498, 7497, 7496, 7495, 7494?
-d + 7500
What is the w'th term of -2267, -4539, -6811?
-2272*w + 5
What is the t'th term of -63, -55, -43, -27, -7, 17, 45?
2*t**2 + 2*t - 67
What is the d'th term of -13, 9, 69, 173, 327, 537, 809?
d**3 + 13*d**2 - 24*d - 3
What is the x'th term of -21, -81, -181, -321?
-20*x**2 - 1
What is the p'th term of -16, -45, -96, -175, -288, -441, -640?
-p**3 - 5*p**2 - 7*p - 3
What is the v'th term of -80, -149, -208, -251, -272?
v**3 - v**2 - 73*v - 7
What is the a'th term of 448, 894, 1354, 1834, 2340?
a**3 + a**2 + 436*a + 10
What is the m'th term of 126, 138, 150, 162?
12*m + 114
What is the x'th term of 337, 343, 349, 355, 361?
6*x + 331
What is the d'th term of -420, -482, -544, -606?
-62*d - 358
What is the f'th term of 232, 420, 608, 796, 984, 1172?
188*f + 44
What is the s'th term of -387, -763, -1139, -1515, -1891, -2267?
-376*s - 11
What is the s'th term of -12, -14, 8, 66, 172, 338, 576, 898?
2*s**3 - 16*s + 2
What is the i'th term of -238, -246, -258, -268, -270, -258, -226?
i**3 - 8*i**2 + 9*i - 240
What is the s'th term of -88, -172, -272, -394, -544, -728, -952?
-s**3 - 2*s**2 - 71*s - 14
What is the u'th term of 24, 47, 74, 105, 140?
2*u**2 + 17*u + 5
What is the k'th term of 61, 128, 199, 274, 353, 436?
2*k**2 + 61*k - 2
What is the m'th term of -2088, -4175, -6262, -8349, -10436?
-2087*m - 1
What is the m'th term of -56, -112, -170, -230, -292, -356, -422?
-m**2 - 53*m - 2
What is the c'th term of -21, -28, -41, -60?
-3*c**2 + 2*c - 20
What is the o'th term of 47, 20, -17, -70, -145?
-o**3 + o**2 - 23*o + 70
What is the c'th term of -589, -1179, -1769, -2359, -2949, -3539?
-590*c + 1
What is the j'th term of -2, -2, 0, 4?
j**2 - 3*j
What is the a'th term of -748, -757, -772, -793, -820, -853?
-3*a**2 - 745
What is the l'th term of 1, -10, -21?
-11*l + 12
What is the f'th term of -280, -281, -278, -271, -260, -245?
2*f**2 - 7*f - 275
What is the x'th term of -11, -90, -303, -716, -1395, -2406, -3815, -5688?
-11*x**3 - x**2 + x
What is the h'th term of -178, -221, -278, -355, -458, -593, -766, -983?
-h**3 - h**2 - 33*h - 143
What is the t'th term of 18, 35, 62, 105, 170, 263, 390?
t**3 - t**2 + 13*t + 5
What is the x'th term of 13, 57, 129, 229, 357, 513, 697?
14*x**2 + 2*x - 3
What is the m'th term of -17, 19, 79, 163, 271?
12*m**2 - 29
What is the p'th term of -18, -37, -84, -171, -310, -513?
-2*p**3 - 2*p**2 + p - 15
What is the z'th term of 472, 953, 1434, 1915?
481*z - 9
What is the k'th term of 122, 187, 252, 317?
65*k + 57
What is the z'th term of -439, -446, -453, -460, -467?
-7*z - 432
What is the d'th term of 659, 656, 653, 650?
-3*d + 662
What is the t'th term of -260, -512, -750, -968, -1160, -1320?
t**3 + t**2 - 262*t
What is the r'th term of -255, -239, -205, -147, -59?
r**3 + 3*r**2 - 259
What is the k'th term of -15, -38, -63, -90?
-k**2 - 20*k + 6
What is the d'th term of -257, -515, -773, -1031?
-258*d + 1
What is the a'th term of 2719, 2723, 2729, 2737, 2747, 2759, 2773?
a**2 + a + 2717
What is the k'th term of 50, 69, 64, 23, -66, -215, -436?
-2*k**3 + 33*k + 19
What is the p'th term of -35, -49, -79, -131, -211, -325, -479?
-p**3 - 2*p**2 - p - 31
What is the k'th term of -584, -600, -626, -668, -732, -824, -950?
-k**3 + k**2 - 12*k - 572
What is the v'th term of 256, 241, 190, 85, -92?
-3*v**3 + 6*v + 253
What is the f'th term of -83, -61, -41, -23, -7?
-f**2 + 25*f - 107
What is the | {
"pile_set_name": "DM Mathematics"
} |
56, 1355, 1542, 1829, 2228, 2751?
3410
What is the next term in 1285615436, 1285615440, 1285615446, 1285615454, 1285615464, 1285615476, 1285615490?
1285615506
What is next in -3523372, -28186875, -95130664, -225494881, -440419668, -761045167?
-1208511520
What is next in -88185, -88169, -88145, -88113?
-88073
What is the next term in 7200, 8265, 10054, 12567, 15804?
19765
What is next in 42071, 168268, 378591, 673034, 1051591, 1514256, 2061023?
2691886
What is the next term in -1883204, -3766403, -5649602, -7532801?
-9416000
What is next in -55381, -55404, -55413, -55414, -55413?
-55416
What comes next: -138790, -279051, -419312, -559573, -699834?
-840095
What is the next term in -7452, -14934, -22438, -29964?
-37512
What is next in 961, 1211, 1849, 3067, 5057, 8011?
12121
What is the next term in -54574, -55612, -56650, -57688?
-58726
What is the next term in 92475, 184774, 276737, 368196, 458983, 548930, 637869?
725632
What is the next term in -27, -47, -87, -189, -395?
-747
What is next in -7452, -18447, -32982, -51057?
-72672
What comes next: -2603, -5227, -7893, -10601?
-13351
What is the next term in 973933, 3895721, 8765367, 15582871, 24348233?
35061453
What is next in -21092, -21713, -23388, -26645, -32012, -40017?
-51188
What is next in -99954, -100431, -100906, -101379, -101850?
-102319
What is the next term in 8876, 17426, 25680, 33638, 41300, 48666, 55736?
62510
What comes next: -4591, -9153, -13685, -18187, -22659?
-27101
What comes next: -167165, -668830, -1504993, -2675654, -4180813?
-6020470
What comes next: 6067671, 12135278, 18202887, 24270498, 30338111, 36405726, 42473343?
48540962
What is the next term in -537389, -1074551, -1611713, -2148875, -2686037?
-3223199
What is next in 46592, 46642, 46722, 46838, 46996, 47202?
47462
What is next in -172492, -167853, -160122, -149299?
-135384
What is next in 12814, 51219, 115200, 204733, 319794, 460359, 626404, 817905?
1034838
What is next in -56565370, -113130735, -169696098, -226261459?
-282826818
What is next in -165, -2342, -8525, -20718, -40925, -71150, -113397, -169670?
-241973
What comes next: -107026944, -214053882, -321080820, -428107758, -535134696, -642161634?
-749188572
What comes next: -1414, -12130, -22846?
-33562
What is the next term in -13195412, -13195411, -13195410, -13195409, -13195408?
-13195407
What comes next: -52857, -52284, -51711, -51138, -50565, -49992?
-49419
What is the next term in -3222, -3374, -3590, -3870, -4214, -4622, -5094?
-5630
What comes next: -679, -1528, -2391, -3274, -4183, -5124, -6103, -7126?
-8199
What comes next: -2564, -2128, -1414, -422, 848, 2396?
4222
What comes next: 402, 3306, 11240, 26718, 52254, 90362, 143556, 214350?
305258
What is the next term in -83009, -165087, -247153, -329201, -411225, -493219?
-575177
What is next in 56327, 220399, 493853, 876689, 1368907?
1970507
What comes next: -265835, -531799, -797763, -1063727?
-1329691
What is next in -95769529, -95769521, -95769509, -95769493?
-95769473
What is the next term in 2447, 4924, 7429, 9962?
12523
What is next in 29328, 58780, 88354, 118050, 147868?
177808
What is the next term in 7991, 8270, 8727, 9356, 10151, 11106, 12215, 13472?
14871
What comes next: -66248, -135879, -208876, -285245, -364992, -448123, -534644?
-624561
What is next in -4596324, -9192581, -13788800, -18384963, -22981052, -27577049, -32172936, -36768695?
-41364308
What comes next: 1557676, 1557605, 1557534, 1557463, 1557392, 1557321?
1557250
What comes next: -342, -1677, -3880, -6951, -10890?
-15697
What is next in 9225, 36537, 81933, 145413, 226977?
326625
What comes next: -60720, -121328, -181936, -242544, -303152?
-363760
What is the next term in 18523, 18057, 17585, 17101, 16599, 16073, 15517, 14925?
14291
What comes next: -36874, -73728, -110576, -147412, -184230, -221024, -257788, -294516?
-331202
What comes next: 6873, 7794, 10285, 15132, 23121, 35038?
51669
What is the next term in 9472, 9279, 8950, 8485, 7884, 7147, 6274?
5265
What is the next term in 72163, 288646, 649451, 1154578, 1804027, 2597798?
3535891
What is the next term in 18704, 74942, 168708, 300002, 468824, 675174?
919052
What is the next term in -877020679, -1754041357, -2631062035, -3508082713, -4385103391, -5262124069?
-6139144747
What is the next term in 42509, 42308, 41965, 41474, 40829?
40024
What comes next: -42481, -50288, -58095?
-65902
What comes next: -34091, -36207, -38323, -40439, -42555, -44671?
-46787
What is the next term in -463, -563, 215, 2309, 6157, 12197?
20867
What is the next term in -136, -205, -440, -841, -1408, -2141, -3040?
-4105
What is next in 3125, 5281, 7491, 9761, 12097?
14505
What is the next term in 612, 568, 460, 276, 4, -368, -852, -1460?
-2204
What is next in 1595, 6265, 14011, 24815, 38659, 55525?
75395
What is next in -95009, -193375, -291741, -390107, -488473, -586839?
-685205
What is next in -11472, -11685, -11898, -12111?
-12324
What is next in 54522, 53882, 53242, 52602, 51962, 51322?
50682
What is the next term in 147, 1, -249, -603, -1061, -1623?
-2289
What is next in 1626, 3041, 4898, 7203, 9962, 13181, 16866?
21023
What comes next: -3114, -3078, -3016, -2928, -2814?
-2674
What is next in -393629, -787285, -1180949, -1574627, -1968325, -2362049, -2755805?
-3149599
What is the next term in 15243, 63037, 142687, 254187, 397531, 572713, 779727?
1018567
What is next in 80826, 171775, 262724, 353673, 444622, 535571?
626520
What is next in 45, -190, -463, -792, -1195, -1690, -2295?
-3028
What comes next: 28496, 28516, 28554, 28610?
28684
What is next in 20021738, 20021739, 20021740, 20021741?
20021742
What is next in -2369, -4919, -9183, -15173, -22901?
-32379
What is next in 3693550, 7387106, 11080662, 14774218?
18467774
What is the next term in -11346665, -22693315, -34039953, -45386579, -56733193, -68079795, -79426385?
-90772963
What is the next term in 476559, 953233, 1429907, 1906581, 2383255?
2859929
What is next in 87037, 87061, 87085, 87109?
87133
What comes next: -11086, -44797, -100984, -179647?
-280786
What comes next: -102660, -102751, -102842?
-102933
What is the next term in 7902, 8459, 9026, 9609, 10214?
10847
What is next in 197244, 197232, 197220, 197208, 197196?
197184
What comes next: 18659160, 18659166, 18659170, 18659172, 18659172?
18659170
What comes next: 1413, 2837, 4235, 5583, 6857, 8033?
9087
What is the next term in 359628, 719336, 1079044?
1438752
What is next in 10607302, 21214605, 31821910, 42429217?
53036526
What is next in -465293, -930589, -1395869, -1861127, -2326357?
-2791553
What is the next term in -100878, -201642, -302382, -403098?
-503790
What comes next: -6266, -9320, -12378, -15440, -18506, -21576, -24650?
-27728
What is the next term in 363795, 363775, 363753, 363729, 363703, 363675, 363645?
363613
What is next in -8651003, -8650992, -8650981?
-8650970
What comes next: -6647, -10082, -15803, -23810, -34103, -46682, -61547?
-78698
What is next in -3654773, -7309543, -10964309, -14619071, -18273829, -21928583?
-25583333
What is next in -29870, -119505, -268902, -478061, -746982, -1075665, -1464110?
-1912317
What is the next term in -609, 851, 2311, 3771, 5231, 6691?
8151
What is next in -4536233, -9072461, -13608689, -18144917, -22681145, -27217373?
-31753601
What is the next term in 860749, 1720863, 2580977?
3441091
What is next in -4469, -7065, -7789, -6647, -3645, 1211, 7915, 16461?
26843
What is the next term in -103434, -206827, -310220, -413613, -517006?
-620399
What comes next: 9221758, 9221764, 9221770, 9221776?
9221782
What comes next: 73568, 73267, 72966, 72665?
72364
What is the next term in -2697, -4664, -6625, -8574, -10505, -12412?
-14289
What comes next: 120280, 120125, 119968, 119809, 119648, 119485?
119320
What comes next: 860967, 861015, 861063, 861111, 861159?
861207
What comes next: -70339, -70383, -70457, -70561, -70695, -70859?
-71053
What comes next: 17264962, 17264960, 17264958, 17264956, 17264954?
17264952
What comes next: -12690088, -12690087, -12690086, -12690085, -12690084, -12690083?
-12690082
What comes next: -265611, -263670, -261729, -259788?
-257847
What is the next term in 17958, 32413, 46868, 61323, 75778, 90233?
104688
What is next in 177201, 708310, 1593493, 2832750?
4426081
What is the next term in 1529540, 15 | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from cqccqcqcccq.
7/110
Three letters picked without replacement from {d: 1, m: 1, f: 5, y: 1, l: 1}. What is prob of sequence fym?
5/504
Calculate prob of sequence pwq when three letters picked without replacement from {j: 1, q: 2, p: 2, g: 1, w: 1}.
2/105
Three letters picked without replacement from tddtdt. Give prob of sequence dtd.
3/20
Four letters picked without replacement from rjrnrnfrfjrnrgjwr. Give prob of sequence rnjn.
3/1360
Three letters picked without replacement from {r: 1, a: 2, v: 2, n: 1}. Give prob of sequence vrr.
0
What is prob of sequence www when three letters picked without replacement from {w: 2, b: 2, y: 1, j: 1, d: 1, o: 2}?
0
What is prob of sequence voo when three letters picked without replacement from vtvuovpovt?
1/90
Three letters picked without replacement from mumqohquuqb. What is prob of sequence mqo?
1/165
Two letters picked without replacement from {v: 2, n: 2, y: 2}. Give prob of sequence ny.
2/15
What is prob of sequence sns when three letters picked without replacement from sssnnn?
3/20
Three letters picked without replacement from ttertytteerkt. What is prob of sequence ret?
3/143
What is prob of sequence geee when four letters picked without replacement from {e: 3, v: 7, m: 6, g: 2, a: 1}?
1/7752
What is prob of sequence kky when three letters picked without replacement from {m: 3, w: 1, y: 1, z: 1, k: 5}?
2/99
Calculate prob of sequence nf when two letters picked without replacement from {f: 13, n: 3}.
13/80
What is prob of sequence zzz when three letters picked without replacement from zzzz?
1
Two letters picked without replacement from {w: 5, j: 3, e: 2}. What is prob of sequence jj?
1/15
What is prob of sequence zemz when four letters picked without replacement from {z: 2, m: 7, e: 5, o: 4}?
7/7344
Three letters picked without replacement from ppppppioop. What is prob of sequence opi?
7/360
What is prob of sequence hk when two letters picked without replacement from khhhkhkhhkqhhh?
18/91
Calculate prob of sequence iww when three letters picked without replacement from {w: 11, i: 9}.
11/76
Two letters picked without replacement from {c: 1, j: 1, a: 1, q: 1, h: 1}. Give prob of sequence cq.
1/20
Three letters picked without replacement from afhhfhfahafh. Give prob of sequence fff.
1/55
Calculate prob of sequence xf when two letters picked without replacement from {s: 3, f: 1, r: 4, x: 2, e: 1}.
1/55
Calculate prob of sequence gg when two letters picked without replacement from ggiiiigiggiiiggigg.
4/17
What is prob of sequence zj when two letters picked without replacement from {z: 1, j: 3}?
1/4
Two letters picked without replacement from ukckkkuukcuu. Give prob of sequence ck.
5/66
What is prob of sequence es when two letters picked without replacement from eszsm?
1/10
What is prob of sequence fhfh when four letters picked without replacement from hfhhhhfh?
1/28
What is prob of sequence uuy when three letters picked without replacement from {y: 5, u: 4, e: 7}?
1/56
Calculate prob of sequence vw when two letters picked without replacement from {v: 9, w: 3}.
9/44
Three letters picked without replacement from nnnnnnnnbnnnnfn. Give prob of sequence fbn.
1/210
Three letters picked without replacement from {c: 5, h: 1, t: 2, e: 6, m: 1, u: 2}. Give prob of sequence ehe.
1/136
What is prob of sequence hnnm when four letters picked without replacement from {h: 2, s: 2, m: 1, b: 6, i: 8, n: 1}?
0
What is prob of sequence rgg when three letters picked without replacement from rgrgr?
1/10
Two letters picked without replacement from jttsxla. What is prob of sequence jl?
1/42
Three letters picked without replacement from {o: 1, f: 1, n: 1}. What is prob of sequence ofn?
1/6
Two letters picked without replacement from {x: 4, t: 2, z: 6}. Give prob of sequence tz.
1/11
Calculate prob of sequence kid when three letters picked without replacement from dkpkpkdippd.
1/110
Two letters picked without replacement from {w: 2, d: 2, q: 1, f: 1, i: 4, h: 4}. What is prob of sequence hf?
2/91
What is prob of sequence bbbb when four letters picked without replacement from bhbhbbhhbhbhbbbbrbr?
55/646
Calculate prob of sequence lcr when three letters picked without replacement from {k: 1, t: 1, r: 1, i: 1, l: 1, c: 2}.
1/105
Calculate prob of sequence ww when two letters picked without replacement from qqqqqqwwqqqq.
1/66
Four letters picked without replacement from teqtqtq. Give prob of sequence qett.
3/140
What is prob of sequence tt when two letters picked without replacement from {t: 17, r: 3}?
68/95
Calculate prob of sequence yy when two letters picked without replacement from ysjwwwwswwsjjwy.
1/105
Calculate prob of sequence aaaa when four letters picked without replacement from aaaaaa.
1
What is prob of sequence ucc when three letters picked without replacement from cjcjucjujjcbj?
2/143
What is prob of sequence sps when three letters picked without replacement from ssssppsssssp?
9/55
Three letters picked without replacement from jjivrrjjjg. What is prob of sequence jir?
1/72
Two letters picked without replacement from zrzrrzrzrzrr. Give prob of sequence rr.
7/22
Three letters picked without replacement from aan. What is prob of sequence nnn?
0
Three letters picked without replacement from kpzpzzppzzy. What is prob of sequence kpk?
0
Two letters picked without replacement from dwbbwwwbdbwwddwwbg. Give prob of sequence bg.
5/306
Calculate prob of sequence yy when two letters picked without replacement from vhvvyhyhvyhvyvyvny.
5/51
What is prob of sequence vzgz when four letters picked without replacement from {g: 1, c: 3, v: 4, i: 3, z: 3, r: 1}?
1/1365
Calculate prob of sequence gp when two letters picked without replacement from mrlgrmmpmdrm.
1/132
Four letters picked without replacement from ummlmmlblumvvbmbl. What is prob of sequence bbmm?
3/952
What is prob of sequence mcxc when four letters picked without replacement from {m: 2, c: 2, x: 10}?
5/3003
Four letters picked without replacement from {q: 4, d: 2, x: 2, l: 2, k: 3}. Give prob of sequence ddll.
1/4290
Calculate prob of sequence uf when two letters picked without replacement from auufafff.
1/7
Four letters picked without replacement from {e: 5, r: 2}. What is prob of sequence rere?
1/21
Two letters picked without replacement from {n: 6, m: 2, f: 5}. Give prob of sequence mm.
1/78
What is prob of sequence cc when two letters picked without replacement from {g: 6, z: 1, s: 4, c: 7}?
7/51
Two letters picked without replacement from sssggssssss. What is prob of sequence gs?
9/55
Two letters picked without replacement from {x: 2, y: 1, l: 1, b: 3, j: 1, h: 12}. What is prob of sequence lb?
3/380
What is prob of sequence yvv when three letters picked without replacement from {y: 2, v: 10, a: 4}?
3/56
Calculate prob of sequence rqbd when four letters picked without replacement from {m: 1, q: 2, d: 1, b: 6, r: 2}.
1/495
What is prob of sequence ui when two letters picked without replacement from {i: 1, e: 1, u: 6, g: 8}?
1/40
Calculate prob of sequence kky when three letters picked without replacement from kykyykyinyiyiniin.
3/340
Three letters picked without replacement from {k: 1, c: 2, x: 1, l: 7, j: 1, e: 5}. What is prob of sequence kcx?
1/2040
Calculate prob of sequence yyq when three letters picked without replacement from {d: 10, y: 9, q: 1}.
1/95
Calculate prob of sequence mmmm when four letters picked without replacement from {m: 9}.
1
Three letters picked without replacement from {p: 7}. Give prob of sequence ppp.
1
Two letters picked without replacement from rsrrexgerrrrprse. What is prob of sequence rg?
1/30
Calculate prob of sequence lp when two letters picked without replacement from flydlydyydp.
1/55
Calculate prob of sequence qbu when three letters picked without replacement from {b: 3, u: 4, o: 1, q: 3}.
2/55
Three letters picked without replacement from {v: 1, r: 4, o: 2, x: 4}. What is prob of sequence xxr?
8/165
What is prob of sequence ptp when three letters picked without replacement from tptptpptttt?
14/165
Four letters picked without replacement from ypayyapaapacayyyyp. What is prob of sequence apcp?
1/1020
Calculate prob of sequence ai when two letters picked without replacement from wwnmaawrnin.
1/55
Two letters | {
"pile_set_name": "DM Mathematics"
} |
in descending order.
25, -14, -107
Put -4, 170, 0, -49, 3 in decreasing order.
170, 3, 0, -4, -49
Put 2153, -18, 2 in increasing order.
-18, 2, 2153
Sort 9, 1, 4, 0, -6.
-6, 0, 1, 4, 9
Sort -10, -68, 12, -3 in ascending order.
-68, -10, -3, 12
Sort -4, 3, 5, 302, -43, -1 in ascending order.
-43, -4, -1, 3, 5, 302
Put -1, -4, -794, 40 in ascending order.
-794, -4, -1, 40
Sort 2, 0.3, 72606/5 in increasing order.
0.3, 2, 72606/5
Put -4, 531, 6, 2 in decreasing order.
531, 6, 2, -4
Sort 36, -24, -8 in descending order.
36, -8, -24
Sort -22, 8/5, -30, -2, -1/12 in ascending order.
-30, -22, -2, -1/12, 8/5
Sort 4, 5, 79, -4, 3 in decreasing order.
79, 5, 4, 3, -4
Sort 2, 1/4, -0.04, -165 in ascending order.
-165, -0.04, 1/4, 2
Sort -5, -4, 5, 0, 19, 352.
-5, -4, 0, 5, 19, 352
Sort 2/27, 19, -13, 1/4.
-13, 2/27, 1/4, 19
Put -1319, -3, 0, -2, 1, -4 in descending order.
1, 0, -2, -3, -4, -1319
Sort -200146, 0, 2 in increasing order.
-200146, 0, 2
Sort -20, 116, -1, -10 in ascending order.
-20, -10, -1, 116
Put 527, 3, 6, 2 in descending order.
527, 6, 3, 2
Sort 1, 28/27, 1096 in decreasing order.
1096, 28/27, 1
Sort -12, 794, -5, 1 in ascending order.
-12, -5, 1, 794
Sort -1, -33, -265, -16 in decreasing order.
-1, -16, -33, -265
Put 2, -1, 0.2206, -5, 0.2 in decreasing order.
2, 0.2206, 0.2, -1, -5
Put -5, 4, -1, -224, -3 in ascending order.
-224, -5, -3, -1, 4
Put 32622, -2, -7 in decreasing order.
32622, -2, -7
Sort 5, 655, 9 in ascending order.
5, 9, 655
Put 1, 1054, 17 in decreasing order.
1054, 17, 1
Put 5, 7, 1829, -5 in ascending order.
-5, 5, 7, 1829
Put 4, -3, 3332, 3, -1 in decreasing order.
3332, 4, 3, -1, -3
Sort -5, 41, -7, 4, -3.
-7, -5, -3, 4, 41
Sort -53, 9, -3, 3, 61 in decreasing order.
61, 9, 3, -3, -53
Sort 180, 64, -2.
-2, 64, 180
Put -2, 316, -46, -22 in ascending order.
-46, -22, -2, 316
Put 4/5, 2/3, 10, 2834 in ascending order.
2/3, 4/5, 10, 2834
Put 1, 5, -1, 4, -25, 377 in descending order.
377, 5, 4, 1, -1, -25
Sort -2/75, 3, -52.3, 1/7 in increasing order.
-52.3, -2/75, 1/7, 3
Sort -4, 2, 4, 0.5, 60 in descending order.
60, 4, 2, 0.5, -4
Sort -6, 346, -37, -2, -1 in descending order.
346, -1, -2, -6, -37
Put 4, -29, -130, 0, 1, -1 in decreasing order.
4, 1, 0, -1, -29, -130
Put 0.03, -1, -2, -2.6, 1 in ascending order.
-2.6, -2, -1, 0.03, 1
Sort 2, -3, 247, -23.
-23, -3, 2, 247
Sort 4, -7, 2, -9, -1, 8 in decreasing order.
8, 4, 2, -1, -7, -9
Sort -5, 8, 14607 in descending order.
14607, 8, -5
Sort 0.3, -2/7, -708, -0.2 in descending order.
0.3, -0.2, -2/7, -708
Put 97, 1, -3, 3, -401, -5 in increasing order.
-401, -5, -3, 1, 3, 97
Sort -98, -1, -3, 14519.
-98, -3, -1, 14519
Sort -18, 1, -2, 2/5 in ascending order.
-18, -2, 2/5, 1
Sort -106, 1, 0.2, -12, 0.4, 19.
-106, -12, 0.2, 0.4, 1, 19
Sort 1, -202, -5, 0.1, -15 in descending order.
1, 0.1, -5, -15, -202
Put 4/7, -5, -654, 1/6, 2/37 in ascending order.
-654, -5, 2/37, 1/6, 4/7
Sort -2/11, 557, 1, -4, -11.
-11, -4, -2/11, 1, 557
Sort 1, -2, -475, -20 in ascending order.
-475, -20, -2, 1
Put 39, -3, 8 in descending order.
39, 8, -3
Put 737, 1/9, -0.1, -11/3 in decreasing order.
737, 1/9, -0.1, -11/3
Put 70, -140, -3, -2, 1 in descending order.
70, 1, -2, -3, -140
Sort -0.4, 0.2, 0.26, -21, 2/7, 2 in decreasing order.
2, 2/7, 0.26, 0.2, -0.4, -21
Put -3, 8, -2, -544, -6 in ascending order.
-544, -6, -3, -2, 8
Sort 3/10, 1093, -3/8 in descending order.
1093, 3/10, -3/8
Sort 2011, 0, -1.
-1, 0, 2011
Put 1, 976142, -3 in descending order.
976142, 1, -3
Sort 8, 330, -1.
-1, 8, 330
Put -1331, 1, 4/9, -3 in descending order.
1, 4/9, -3, -1331
Put -1/3, 18062, 0.2 in decreasing order.
18062, 0.2, -1/3
Sort 0.2, 0.4, -4, 29, 43.
-4, 0.2, 0.4, 29, 43
Sort -11, 5, 5/2, 0.064, 0 in ascending order.
-11, 0, 0.064, 5/2, 5
Put 5/4, -3, 1, 5, 1/4 in decreasing order.
5, 5/4, 1, 1/4, -3
Put -1, -1/17, -342 in decreasing order.
-1/17, -1, -342
Sort -13, -1054, 0.07, -4 in increasing order.
-1054, -13, -4, 0.07
Sort 13, 8, -3, 4, 3.
-3, 3, 4, 8, 13
Sort 7, -4, 5, 12, -89 in descending order.
12, 7, 5, -4, -89
Put 4, 16, 5, 1, -4115, -1 in descending order.
16, 5, 4, 1, -1, -4115
Put 2/5, 4/3, -163, -5, -12 in decreasing order.
4/3, 2/5, -5, -12, -163
Put -272, -5, 5, -3471, -4 in descending order.
5, -4, -5, -272, -3471
Put 12, -16, -4, -6, -5 in descending order.
12, -4, -5, -6, -16
Sort 0.1, 5/698, 1/6 in ascending order.
5/698, 0.1, 1/6
Put -2, -3, 6, -30, -7, -4 in decreasing order.
6, -2, -3, -4, -7, -30
Put 1, 399, -0.3, -3/5, -29/2 in increasing order.
-29/2, -3/5, -0.3, 1, 399
Sort 2, 4161, 10 in increasing order.
2, 10, 4161
Sort 2/147, 2, -3, -1, -429.
-429, -3, -1, 2/147, 2
Put -3/4, 0.1, 3/23, -210, -2/3 in descending order.
3/23, 0.1, -2/3, -3/4, -210
Put 28, -8, 1, 3, 0.018, -1/11 in decreasing order.
28, 3, 1, 0.018, -1/11, -8
Sort -5/3, 1036, 2 in increasing order.
-5/3, 2, 1036
Put -50, -2/17, -4 in descending order.
-2/17, -4, -50
Put -7/2, -1, -0.0495, 2/5 in ascending order.
-7/2, -1, -0.0495, 2/5
Put 0.326, 0.08, -1, 19 in ascending order.
-1, 0.08, 0.326, 19
Sort 6919, 2, -3 in decreasing order.
6919, 2, -3
Put 3.2, -4, 1/4, 3, -6/449 in decreasing order.
3.2, 3, 1/4, -6/449, -4
Put -2/9, 0.2, -19/50083 in decreasing order.
0.2, -19/50083, -2/9
Sort 333/5, 2, 0.075.
0.075, 2, 333/5
Sort -0.4, 2897, -5, 1, 0.4 in descending order.
2897, 1, 0.4, -0.4, -5
Put 126, -10, -5, 211 in decreasing order.
211, 126, -5, -10
Put 1658, -10, -3, 18 in decreasing order.
1658, 18, -3, -10
Sort -2, -1, 5, 971 in decreasing order.
971, 5, -1, -2
Sort 4/113, 0.2, -0.24, -3.
-3, -0.24, 4/113, 0.2
Put -4, 1.2, 7, 785, -3 in ascending order.
-4, -3, 1.2, 7, 785
Put -2648, 0.2, 33, -5 in increasing order.
-2648, -5, 0.2, 33
Put -0.2, 1, 870/7, -13 in descending order.
870/7, 1, -0.2, -13
Put 6, 7, 4, -2755, 0.3 in descending order.
7, 6, 4, 0.3, -2755
Put -1/8, 6, 73 in increasing order.
-1/8, 6, 73
Sort -29, 1, -14, 3, 16 in increasing order.
-29, -14, 1, 3, 16
Put -2/11, -8, 8/53, -0.27 in descending order.
8/53, -2/11, -0.27, -8
Sort -280, 0, -82.
-280, -82, 0
Sort -124, -682, -1 in increasing order.
-682, -124, -1
Put -0.9, -4, -0.06, 104/3 in descending order.
104/3, -0.06, -0.9, -4
Sort 92, -24, 3/2, -5, -2/23, 1/3 in decreasing order.
92, 3/2, 1/3, -2/23, -5, -24
Sort -125, -1, 0, 16, -2 in increasing order.
-125, -2, -1, 0, 16
Sort 13, 712, 4, 0, 2.
0, 2, 4, 13, 712
Sort -4, 1, -1, 4, -198, 8 in increasing order.
-198, -4, -1, 1, 4, 8
Sort 0, -1/10, 1/3, 2.5, -1057.2.
-1057.2, -1/10, 0, 1/3, 2.5
Sort -4, -6, 184, -3, -19.
-19, -6, -4, -3, 184
Sort -1, -871, 3, 0, 2, 4 in ascending order.
-871, -1, 0, 2, 3, 4
Sort 4, -10, -12453.
-12453, -10, 4
Put 44, 0.3, 1, 0.5, 4.762 in descending order.
44, 4.762, 1, 0.5, 0.3
Sort -456, 4, -11, -9, -3.
-456, -11, -9, -3, 4
Sort 0.4, -259, -3/19 in decreasing order.
0.4, -3/19, -259
Put -1491, 5, 4, 2 in increasing order.
-1491, 2, 4, 5
Sort 7, -465, 20.
-465, 7, 20
Sort -4, -5, 0, 6, -161.
-161, -5, -4, 0, 6
Sort -3, 1/3, -67, 4 in decreasing order.
4, 1/3, -3, -67
Put 2, -87, -145 in increasing order.
-145, -87, 2
Put -4, 55, -5, 4, 0 in decreasing order.
55, 4, 0, -4, -5
Sort 3, -664, 5, -24, -4, 4 in ascending order.
-664, -24, -4, 3, 4, 5
Sort -0.2, -2, 54.3, 0, 2.
-2, -0.2, 0, 2, 54.3
Put 5, 2, 1, -12, 70 in decreasing order.
70, 5, 2, 1, -12
Put 4188, -4, -2/9, -1/3, -2/15 in ascending order.
-4, -1/3, -2/9, -2/15, 4188
Put -1, -2/101, -0.0155 in ascending order.
-1, -2/101, -0.0155
Sort 19, -0.19, 4, 0.1, -4 in ascending order.
-4, -0.19, 0.1, 4, 19
Sort -16, -5178, 4, -8 in increasing order.
-5178, -16, -8, 4
Sort 4/5, -3, -0.4, -2, 3, 6/23 in increasing order.
-3, -2, -0.4, 6/23, 4/5, 3
Put 7, -52, -2, -3, 659 in decreasing order.
659, 7, -2, -3, -52
Sort -10/7, 0.2, 0.42, -5, -0.5 in decreasing order.
0.42, 0.2, -0.5, -10/7, -5
Put -313, -1, -8, 173 in increasing order.
-313, -8, -1, 173
Sort 3, -1, -19, 251.
-19, -1, 3, 251
Sort 363, -3, 96 in decreasing order.
363, 96, -3
Sort 40, 4, 80, -4 in increasing order.
-4, 4, 40, 80
Put 3/7, 0.2, -62, -3, -1/2 in decreasing order.
3/7, 0.2, -1/2, -3, -62
Sort 12, 4, 60, -5, -1/2, 0.
-5, -1/2, 0, 4, 12, 60
Sort -32514, 2, -0.4 in ascending order.
-32514, -0.4, 2
Put -2, 9803, -3 in desce | {
"pile_set_name": "DM Mathematics"
} |
= -1637/6 - -272. Let k = 37/30 + s. Which is bigger: -3 or k?
k
Suppose 48 = 4*h + 4*a, -3*h + 5*h + 5*a - 27 = 0. Are 9 and h non-equal?
True
Let p = -68/3 + 26. Is 1 > p?
False
Let n = -7 + 4. Let j = 0.2 - -0.8. Which is smaller: j or n?
n
Suppose 0 = 8*n - 4*n. Is n <= 1?
True
Let p = 21 - 20.84. Which is smaller: -1/2 or p?
-1/2
Let v be 9966/168 + 8/(-14). Let s = 57 + 2. Let y = v - s. Is y at most -1?
False
Suppose 0 = 3*l - 4*p - 0*p + 8, 3*l = -3*p + 6. Is l greater than -1?
True
Let o = 0 + -2. Let j be (-2)/(60/9)*(-4 - -6). Which is greater: j or o?
j
Let d be (0 + -3)/3*-2. Let p be 2/(-4)*12/933. Let n = p + 628/933. Is d equal to n?
False
Suppose 2*u - 17 = b, -5*u + 0*u = 4*b - 62. Let x be (-10)/u + 4/10. Is x < -3/5?
False
Let t be 24/38*21/(-42). Let u = t - -5/76. Is 0 less than u?
False
Let t be (44 - -3) + -3 + 1. Let s be (4/t)/(2/(-5)). Which is smaller: 1 or s?
s
Let s = 0 + 2. Suppose 1 + s = -z. Let p be z*2/(-9)*1. Do p and 1 have the same value?
False
Let p = 0.1 - 0.7. Let w = p - 0.4. Let t = 3 + w. Is -0.2 smaller than t?
True
Let u be (-185)/15*-1*6/2. Which is smaller: u or 35?
35
Let t = 354026/5181 + 3/1727. Let d = -69 + t. Let c = 401.9 - 402. Which is smaller: c or d?
d
Let d be 3*(-4)/(-12324)*53. Let h = d - -2/79. Which is greater: h or -1?
h
Let k = -9 - -13. Let j(p) = -p**3 + 5*p**2 - p - 2. Let g be j(k). Let c = g - 19/2. Which is bigger: -0.2 or c?
c
Let x(s) = -s**2 - 7*s - 4. Let m be x(-6). Suppose y - 5 = -m. Let c(r) = r + 29. Let b be c(-26). Is y at most b?
True
Let b = 3 + -4. Let a(g) = -g**3 - 2*g**2 + 1. Let x be a(-1). Let o = 1 + x. Which is smaller: o or b?
b
Let d = 0.3 + -0.2. Let z = 14 - 15. Do z and d have different values?
True
Let f = 0.2 - -0.5. Which is bigger: 0.1 or f?
f
Let u = -3.9 - -4. Which is smaller: 5 or u?
u
Let b = -7 - -6. Is b equal to 1/3?
False
Let d = -3533 + 883251/250. Let o = -688/125 + d. Which is smaller: -7 or o?
-7
Let j(q) = -q**2 - 5*q. Let t be j(-4). Let u be ((-1)/(-2))/(2/t). Is -2/35 smaller than u?
True
Let i be 0 - -2 - (-12 - -3). Suppose 4*x - b - 205 = 0, 0 = -3*b - i - 4. Let y be x/(-88) + 6/(-33). Which is smaller: y or -2?
-2
Let p = -25.1 + 24. Let m = 1.3 + p. Is 0.1 at least m?
False
Let k = -53 - -52. Is 44 at most as big as k?
False
Let g(m) = m**3 + 5*m**2 + 3*m - 2. Let f be g(-4). Let k(z) = -z + 3. Let n be k(f). Is 4 < n?
False
Let v = -60 + 416/7. Does -1 = v?
False
Let x be ((-20)/(-12))/(-3 - -4). Which is smaller: x or 3?
x
Let h = -3/119 - 2817/1547. Is h less than -2?
False
Let l = -74 - -818/11. Is l < 0.04?
False
Let h = 289 + -10117/35. Is 1 at most h?
False
Let w be 2/(((-1)/3)/((-35)/21)). Which is bigger: w or 8?
w
Let z be (1/(-10))/((-15)/10). Which is bigger: z or 0.2?
0.2
Suppose 0 = -3*f - 3, -f = 4*o + 9 + 12. Let n be (219/12)/(o/(-4)). Let k = -71/5 + n. Which is greater: k or -1?
k
Let m(z) = z**3 - 2*z**2 - 2*z + 3. Let r = -1 - -1. Let h = r - -2. Let p be m(h). Which is bigger: 0 or p?
0
Let o = -0.3 - -0.8. Is o equal to 3?
False
Suppose 0 = 5*q - 5 + 10. Let o = q + 4. Suppose -o*l = l. Which is smaller: l or -1/3?
-1/3
Let k = -6 + 7. Let p = 63 - 317/5. Which is smaller: k or p?
p
Let f = -3 - -2.8. Let l = 0.14 + f. Let u = l + 0.16. Are u and -0.3 equal?
False
Suppose -3*j = -15, -3*x + 5 = -0*x + j. Let w = -6 - -10. Suppose -w*v - 8 = 0, 2*v + v = 3*c - 9. Which is smaller: x or c?
x
Let j = 44 - 44. Let o = -14 - -55/4. Which is smaller: j or o?
o
Let l = 14.9 - 15. Which is smaller: 1 or l?
l
Let w(a) = -a**2 - 6*a. Let h be w(-8). Is h greater than -15?
False
Let f(s) = -s**3 + 3*s**2 - 2*s + 2. Let u be f(2). Suppose -g + u*g + 4 = 0. Is -4 at least as big as g?
True
Suppose 23*m - 5 = 18*m. Let d(r) = -r + 3. Let f be d(6). Is f equal to m?
False
Suppose -2*f - h + 34 = -3*h, 5*f - 55 = -h. Let s be 12/(-16) + 9/f. Which is smaller: -1/6 or s?
-1/6
Let c be (-26)/(-8) + (-3)/1. Let h = -3 - -3.1. Which is smaller: c or h?
h
Let j = 5.2 + -5. Let u = j + -0.6. Let v = -23/7 - -55/21. Which is smaller: v or u?
v
Let o be 4 - (-2)/3*-7. Let h = 2 + -2.1. Are o and h equal?
False
Let y(m) = m**3 + 4*m**2 - m - 2. Let f be y(-4). Let j(x) = -7*x**2 + f*x**2 + 54*x**3 + x - 53*x**3 - 7. Let l be j(5). Does -4 = l?
False
Let t = 0.1 - 0.1. Let f = t + -0.2. Let j = f + 0. Which is greater: j or -1?
j
Let v = 3 + -3.1. Let s = 0.3 - v. Let j = s + -0.39. Is 0.1 < j?
False
Let z be ((39/(-18))/13)/(1/3). Which is smaller: z or -2.2?
-2.2
Let w = 3 + -1. Let q be (-5)/15*(-3)/w. Which is smaller: q or -1/4?
-1/4
Suppose 0*u - 8 = -2*u, 2*c + 8 = u. Which is smaller: 4 or c?
c
Let n = 14.9 - 3.9. Let b = 488/5 - 98. Which is smaller: n or b?
b
Let p = -2 - -1.8. Let a = -26.7 + 27. Which is smaller: p or a?
p
Suppose -69 = -5*u + 3*s, 9*s = -3*u + 4*s + 55. Suppose w = -2*b - w - 12, 5*b - 4*w - u = 0. Let q be (10/(-8))/b + -1. Which is smaller: q or 2/9?
2/9
Let k be 11/2 - 1/2. Suppose 0 = -k*f - 2 - 3. Is 1/7 < f?
False
Let g = 3.1 + -0.1. Let l = -0.12 + -5.88. Let b = g + l. Is 0.1 <= b?
False
Let a(r) = -15*r + 35. Let n(x) = 7*x - 17. Let y(i) = -6*a(i) - 13*n(i). Let j be y(6). Suppose z = j*z. Which is bigger: z or -1/5?
z
Let h(i) = -i**3 + 8*i**2 + 2*i - 12. Let y be h(8). Suppose g + 0 = -2*r - 1, 0 = 3*r + y*g + 4. Let o = 3 - 2. Is o bigger than r?
True
Suppose -3*m + 2*r - 6 = 0, -3*m - 11 = 3*r + 10. Which is smaller: m or 3?
m
Suppose 6*v + 144 = 9*v. Let m = -92 + v. Let o be (6/(-8))/((-55)/m). Is -1 at least as big as o?
False
Let z(h) = -h**3 - 5*h**2 + h + 4. Let p be z(-5). Let l be p/(-6) + (-2)/(-6). Let t be 0 + 2 + 12/(-7). Which is greater: l or t?
l
Let a = 692.9 - 693. Let m = 66 - 71.4. Let s = m - -6. Which is greater: a or s?
s
Let m = -4/525 - -3751/9975. Does m = -1?
False
Let j = -0.5 + 0.2. Which is smaller: j or -0.1?
j
Let k = -5 + 7. Suppose t + 0*t - k = 0, 3*s + 32 = -2*t. Let g be (-22)/s - (-6)/(-12). Which is bigger: 1 or g?
g
Let b(o) = o**2 + o - 2. Let x be b(2). Suppose 0 = s - x*h - 11, -9*s - 3*h = -5*s + 13. Let l be 4/8 + s/10. Which is greater: -1 or l?
l
Suppose 5*k = -5*y + 10, 3*k = 2*y + 3 + 8. Let r be 0 - 5*2/6. Is r at most as big as y?
True
Let j = -10 + 8. Which is smaller: -7/8 or j?
j
Suppose -4*a = -3 - 1. Let s be (4 + 2/((-8)/4))/3. Is s > a?
False
Let n = -1476.9 - -1402. Let x = n - -71. Let v = x + 4. Is v greater than or equal to -0.3?
True
Let m = 2 + -28. Let o be -1 + -1 + m/(-12). Which is smaller: o or 0?
0
Let z(l) = -5*l. Suppose -4*w + 60 = -9*w. Let k be 15/w + (-2)/(-8). Let p be z(k). Is p smaller than 5?
False
Let u(l) = -2*l**2 + 2*l - 2. Let h be u(2). Let z be ((-12)/(-9))/(h/(-9)). Suppose z*q = q. Is 0 at most as big as q?
True
Let w be (-11)/(-6) + -6 + 111/18. Which is bigger: 6 or w?
6
Let u(j) = 2*j + 42. Let r be u(-15). Is r at least as big as 12?
True
Let b = -2 - -2.2. Are -3/7 and b equal?
False
Let b = -6875/322 - -149/7. Which is greater: 1 or b?
1
Let w = -0.126 + -43.874. Which is bigger: w or 2?
2
Let l be ((-54)/(-8))/(48/(-392)). Let z = 55 + l. Which is smaller: z or 0?
z
Let w = 4 - 3.4. Let y = -0.4 - w. Let v = 1 - 1. Is v != y?
True
Suppose -4*n - 41 = -37. Is n bigger than -6/11?
False
Suppose 0 = f + 5*x + 18, -4*f + f = -5*x - 26. Is 2 at least as big as f?
True
Let p = 19 + -11. Suppose 3*s = -1 - p. Is s at least as big as -4?
True
Let w(s) = s**3 + 4*s**2 + s + 4. Let t be w(-4). Which is greater: t or 2/277?
2/277
Let o(a) = -a**2 - 6*a. Let k be o(-6). Suppose 3*q - 6 = -0, 27 = 5*r - 4*q. Let v = -7 + r. Does v = k?
True
Let g(z) = z + 3. Let y be g(-3). Suppose 0 = 3*r - 3 - y. Which is smaller: -2/5 or r?
-2/5
Let y = 0 + -0.1. Let s = 0.12 - 0.09. Is s less than y?
False
Let s be 3 + 9/(-2 + -1). Suppose s = d - 3*d. Which is smaller: d or -1?
-1
Let t(s) = 3*s - 4. Let q be t(3). Are q and 6 equal?
False
Let o(s) = -2*s - 4. Suppose -4*z - 3 = -5*r, 2*z - 2*r - 15 = -5*r. Let i be o(z). Which is smaller: 1/2 or i?
i
Let z = 4 - 1. Which is bigger: z or 4?
4
Let b(o) be the third derivative of -o**6/120 + 11*o**5/60 - 5*o**4/12 - o**2. Let l be b(10). Which is greater: -2 or l?
l
Let l = -1/340 + 693/4420. Let k be (2 - 0) + (-11)/11. Which is smaller: l or k?
l
Let k = 5 | {
"pile_set_name": "DM Mathematics"
} |
t replacement from ssdsszsdlsls. What is prob of sequence ldz?
1/330
Three letters picked without replacement from {x: 3, o: 1}. What is prob of sequence xox?
1/4
Two letters picked without replacement from zwiznnzqwwnqwnwnqq. What is prob of sequence qq?
2/51
Calculate prob of sequence kx when two letters picked without replacement from zqzkzzxkc.
1/36
What is prob of sequence arry when four letters picked without replacement from fzrafllazffyafz?
0
Two letters picked without replacement from rhhrhhrhorroohhh. What is prob of sequence or?
1/16
Three letters picked without replacement from {c: 1, p: 6, d: 2, j: 9}. Give prob of sequence dcp.
1/408
What is prob of sequence rr when two letters picked without replacement from rrr?
1
What is prob of sequence oooo when four letters picked without replacement from aabbbkobboaoaoaboa?
1/612
Four letters picked without replacement from ggzgzggggzgggzzg. Give prob of sequence zggg.
165/1456
Two letters picked without replacement from {q: 1, s: 1, b: 1, l: 1, v: 1, m: 2}. What is prob of sequence vl?
1/42
Calculate prob of sequence qn when two letters picked without replacement from {m: 3, q: 2, n: 3, s: 5, p: 1, x: 1}.
1/35
Calculate prob of sequence uu when two letters picked without replacement from muummuuumuumuu.
36/91
Three letters picked without replacement from {l: 3, p: 1, k: 6, a: 7}. Give prob of sequence laa.
21/680
What is prob of sequence dz when two letters picked without replacement from kddz?
1/6
What is prob of sequence ycy when three letters picked without replacement from yccyyyyycccyyyyycyc?
154/969
Three letters picked without replacement from ttttt. What is prob of sequence ttt?
1
What is prob of sequence zw when two letters picked without replacement from zzw?
1/3
What is prob of sequence bcc when three letters picked without replacement from {b: 13, s: 5, c: 2}?
13/3420
Four letters picked without replacement from ruuqqbribuubub. What is prob of sequence quuq?
5/3003
Two letters picked without replacement from {o: 15, n: 3}. Give prob of sequence on.
5/34
Two letters picked without replacement from {t: 3, w: 4, e: 1}. What is prob of sequence ew?
1/14
Calculate prob of sequence eeee when four letters picked without replacement from bqoooeooeqeoeq.
1/1001
Four letters picked without replacement from {u: 3, p: 1, z: 1, x: 1, h: 1}. Give prob of sequence uuxp.
1/140
Three letters picked without replacement from ccnnnnfngnnnnfnnccn. What is prob of sequence ncg?
8/969
Four letters picked without replacement from {o: 10, d: 6, y: 1}. What is prob of sequence oyod?
9/952
Four letters picked without replacement from wwbbbbbbbwwww. Give prob of sequence bbww.
21/286
Three letters picked without replacement from {q: 4, i: 5, o: 7}. What is prob of sequence iqo?
1/24
Three letters picked without replacement from ydydydddddddddd. Give prob of sequence dyd.
66/455
Three letters picked without replacement from kkxxkkxxxkkxk. Give prob of sequence kxk.
21/143
Calculate prob of sequence eee when three letters picked without replacement from {z: 10, e: 3, k: 2}.
1/455
Two letters picked without replacement from azazabbajjaeajeeeaa. Give prob of sequence ab.
8/171
Two letters picked without replacement from {r: 5, c: 12, u: 2}. What is prob of sequence cr?
10/57
Four letters picked without replacement from eeseeseseesesssseses. What is prob of sequence esse?
45/646
Calculate prob of sequence dd when two letters picked without replacement from dggggdddgdgggggggg.
10/153
Calculate prob of sequence zg when two letters picked without replacement from gacxxxvgzgxaxxxcg.
1/68
Two letters picked without replacement from smmiyixmixmimmy. Give prob of sequence xi.
4/105
Calculate prob of sequence kk when two letters picked without replacement from kekkkekekeeek.
7/26
Calculate prob of sequence qq when two letters picked without replacement from qgqq.
1/2
Calculate prob of sequence oung when four letters picked without replacement from uqgoutn.
1/420
What is prob of sequence ms when two letters picked without replacement from mmimiimiimisosoii?
5/136
Two letters picked without replacement from sozddzd. What is prob of sequence dd?
1/7
Four letters picked without replacement from jttkttkkktkktk. What is prob of sequence ktjk?
3/286
Four letters picked without replacement from {m: 5, s: 2, w: 9, r: 2}. What is prob of sequence wsmm?
1/204
Two letters picked without replacement from acca. What is prob of sequence cc?
1/6
Three letters picked without replacement from yrkkwkrwkwkrrkrrkkk. What is prob of sequence rwk?
9/323
What is prob of sequence zafz when four letters picked without replacement from affzazaaafffazafz?
3/340
What is prob of sequence hsgo when four letters picked without replacement from {y: 1, s: 1, g: 3, o: 2, c: 4, h: 1}?
1/1980
What is prob of sequence cggk when four letters picked without replacement from kcgekcegcekggkgekkc?
5/969
What is prob of sequence fi when two letters picked without replacement from {f: 2, g: 4, i: 5, r: 8}?
5/171
Three letters picked without replacement from dnknnkknnnnkndknkn. What is prob of sequence dkk?
5/408
Three letters picked without replacement from {i: 7, w: 3}. Give prob of sequence iiw.
7/40
Three letters picked without replacement from {g: 2, s: 4, q: 2}. What is prob of sequence gss?
1/14
Calculate prob of sequence sj when two letters picked without replacement from jcsssmcchnn.
3/110
Calculate prob of sequence dqjp when four letters picked without replacement from pjqdqqqqqsqqqqqqj.
1/2380
Two letters picked without replacement from {w: 1, l: 1, a: 7, f: 8}. What is prob of sequence lf?
1/34
Three letters picked without replacement from tjjypjjptjpjjppjtp. What is prob of sequence jpj?
7/102
Two letters picked without replacement from {c: 3, o: 3}. What is prob of sequence cc?
1/5
What is prob of sequence wy when two letters picked without replacement from skpyw?
1/20
Four letters picked without replacement from hmwwhwxhwzw. What is prob of sequence mxhh?
1/1320
Calculate prob of sequence gfub when four letters picked without replacement from ugxbf.
1/120
Four letters picked without replacement from hchc. What is prob of sequence chch?
1/6
Four letters picked without replacement from ssspsssssssssssssss. Give prob of sequence spss.
1/19
Two letters picked without replacement from osvkoooskoos. Give prob of sequence sv.
1/44
Three letters picked without replacement from {t: 1, k: 2, y: 1, w: 1}. What is prob of sequence kkt?
1/30
Three letters picked without replacement from {r: 3, a: 12, h: 3}. What is prob of sequence rrh?
1/272
Three letters picked without replacement from yzyzy. Give prob of sequence yzy.
1/5
Calculate prob of sequence pnp when three letters picked without replacement from npnpnnnnnnnnppppnn.
5/68
Calculate prob of sequence wwc when three letters picked without replacement from {c: 2, w: 2}.
1/6
Two letters picked without replacement from vggggggvggg. What is prob of sequence vv?
1/55
Two letters picked without replacement from vvvvvojvjvjjv. What is prob of sequence vj?
8/39
Calculate prob of sequence ggi when three letters picked without replacement from {d: 6, h: 1, i: 7, g: 3}.
7/680
What is prob of sequence pp when two letters picked without replacement from {p: 11, o: 2}?
55/78
What is prob of sequence vv when two letters picked without replacement from {m: 5, v: 4, i: 2}?
6/55
What is prob of sequence zxz when three letters picked without replacement from {x: 3, z: 3}?
3/20
Calculate prob of sequence bfms when four letters picked without replacement from mmfbxfxfmsysxsmxs.
1/1190
What is prob of sequence liil when four letters picked without replacement from {c: 1, i: 4, l: 8}?
28/715
Four letters picked without replacement from jrrjjrjjjjjrjjjrrrj. What is prob of sequence rrrj?
35/1292
What is prob of sequence wpho when four letters picked without replacement from {o: 1, h: 7, w: 3, p: 1}?
7/3960
Three letters picked without replacement from cxxcx. Give prob of sequence ccx.
1/10
What is prob of sequence fqf when three letters picked without replacement from {f: 6, q: 4}?
1/6
Three letters picked without replacement from chchfchchctkktqh. What is prob of sequence fkq?
1/1680
What is prob of sequence gmg when three | {
"pile_set_name": "DM Mathematics"
} |
Let c be z(-5). Let n = 67 + -47. Let x be (8/20)/(2/n). Solve 0*h + 2 = j - h, x*j + h + 17 = c for j.
-3
Suppose 5*g = 2*c + 12, 3*c = 4*g - 11 - 0. Suppose 0 = -0*f + g*f + 2. Let u be -1*f/2*8. Solve -u*i + 41 = -5*t + 14, -2*t - 3 = i for t.
-3
Suppose -20*s = 40 - 80. Suppose 5*g + i = 6, 3*g - 8*i = -3*i + 26. Solve 2*x + 0 = 3*o + 1, 2 = g*x - s*o for x.
2
Let s be -3*3*(-104)/468. Solve -3*r = 2*m - 0*m + 5, 2*r - s = -4*m for r.
-3
Suppose 4*v = 4, 2*i = 4*i - v + 81. Let r = -29 - i. Solve 3*x - 1 = x + b, -5*x - 2*b = r for x.
-1
Let q(u) = 5*u**2 + 7*u + 5. Let n be q(-2). Suppose -n*o = -0*o - 33. Solve 0 = -p - 5*s - 18, 0 = p + 2*p + o*s + 6 for p.
2
Let m = -24 + 27. Suppose 0 = -2*h + 2*v + m*v, 3*v = -h + 11. Solve -4*z + h*c = -0*z - 27, -3*c = -z + 12 for z.
3
Suppose -c - x = -12, c + c - 2*x - 40 = 0. Suppose 8*s - c = 8. Suppose 0 = -3*t - s*t. Solve 4*v - 8 = t, -7 = -2*w + v - 3 for w.
3
Suppose 9*k = 3*k - 36. Suppose 3*a - 3*o + 1 = -8, -3*o = -3. Let p = a - k. Solve 2*y = -2*y + 4*f - 16, -24 = p*y + 4*f for y.
-5
Let j = 21 + -13. Suppose 4*d - 4 = j. Let a = -8 - -11. Solve -d*s - 4*w = -1, a*w + w + 14 = 2*s for s.
3
Let s(i) = i + 19. Let b be s(-15). Let u = b - -2. Suppose u = q - 0. Solve 2*j - 6*o + 5*o = q, -o = 4*j for j.
1
Let p be (-35)/(-10)*4/7. Suppose c - 4*x = 2*c - 15, -p*c + x = -3. Solve -4*f + 1 = -3*w, -10 = c*w + 2*f + 3 for w.
-3
Let b(f) = 2*f**2 + 7*f + 2. Let w be b(-5). Let u = -13 + w. Solve u*q - 9 = -2*x + 1, -5 = -4*q + 3*x for q.
2
Suppose -639*p + 628*p + 55 = 0. Solve -4*b - p*t - 8 = -t, -5*b = -5*t for b.
-1
Let k be (6 - 2) + 54/27. Solve 3*c - 2*l + 13 = 0, 5 = c + l + k for c.
-3
Let j be (7 + 102/(-18))/(8/18). Solve 5*r + m - 27 = 0, -j*r + 3*m = m - 11 for r.
5
Suppose 30 = -187*m + 185*m. Suppose -19 = -k + 16. Let r = k + m. Solve -s = -2*s, s + r = -5*d for d.
-4
Let u be (-8684)/(-1169) - (-3)/14*-2. Solve -5*c + 5*t = 0, 3*c + u*t = 2*t for c.
0
Suppose -j - 115 = -6*j + g, -4*j - 3*g + 111 = 0. Solve -3*a + 3*v = j, 4 = a - 5*a - 3*v for a.
-4
Let o(f) = -6*f + 15. Let n be o(2). Solve 4*a - 31 = -n*r, 5*a = -5*r + 21 + 24 for a.
4
Let t be -31 - (4 - (4 + 0)). Let k = t - -27. Let i = k - -4. Solve -12 = -3*p - 2*y - 2*y, i = 3*y - 9 for p.
0
Let s(u) = u + 2. Let y be s(3). Let m(a) = 17 - 5 - 7*a + 5*a. Let n be m(y). Solve x - n = 0, 17 = 4*v - v + x for v.
5
Let t = -13 - -24. Suppose t = b + 2. Suppose i - b + 6 = 0. Solve y = -l - 10, y - i*y + 2*l = 0 for y.
-5
Let h = -87 - -131. Suppose 41 = -u + h. Let s be 1*(2*2 + 0). Solve s*k + u*j = 8, -3*k + 8 = k + 5*j for k.
2
Suppose j - 3*u + 17 = 0, 4*j - 2*u + u + 35 = 0. Let q = j + 13. Solve -2*k - q*y = -4*y + 8, 2*k = 2*y - 2 for k.
-3
Let c = -23 - -28. Let s = 7 + -3. Let g be -2 + s - (-14 + -2). Solve -c*n - v = -4*v - g, 3*n - 2*v = 11 for n.
3
Suppose 2*m + 2*y - 86 = -0*y, m + 2*y - 48 = 0. Let k = 40 - m. Solve -5*p - 20 = -3*q + k*q, 3*q + 3*p + 12 = 0 for q.
0
Let r = -566 + 568. Solve 8*j - 29 = 5*b + 11*j, 0 = r*b - j + 5 for b.
-4
Suppose 0 = -2*c + 132 + 24. Let n = -73 + c. Solve -2*x - 6 = y - x, 5*x = n*y for y.
-3
Let r(n) = -n**3 + n**2 + 15*n + 28. Let w be r(5). Solve -f = -2*y - 5, -5*y = 4*f + w + 16 for f.
-1
Let y be 5/2 + (-17)/(-204)*-6. Solve -3*k + y*a - 9 + 1 = 0, 2*a - 8 = -5*k for k.
0
Suppose 0 = -5*q + 94 - 94. Solve 2*d - d - 1 = 0, q = -3*p - 3*d + 12 for p.
3
Suppose -5*g - 4*o + 36 = -29, 3*g + 3*o = 42. Let x(k) = -17 + g + 4 - 2*k. Let v be x(-5). Solve -z - 11 = v*s - s, -5*s = 15 for z.
4
Suppose -2*h - 559 = -569. Solve -2*b + w = -4*b - 2, -5 = 5*b - h*w for b.
-1
Suppose -3*t - 28 = 38. Let w = 25 + t. Solve d + a + 5 = 0, -w*d - 15 = -0*d - 5*a for d.
-5
Let i be (800/(-600))/((-5)/3 - -1). Solve 8*t - 3*a = 3*t - 13, -5*a = i*t + 30 for t.
-5
Let x = 18 + -7. Suppose 4*n + 3 - x = 0. Solve c + 6 = -c + n*i, -13 = 3*c - i for c.
-5
Let d(a) = -16*a**2 - 3*a + 2*a - a**3 - 7 - 3*a**2 + 9*a**2. Let t be d(-10). Solve -h - 11 = -4*n, -t*n + 12 = -0 for h.
5
Suppose -2*i = -k - 5*i + 3, k - 3 = i. Solve 0 = -l + 2*u - k, -2*l - 3*u = 4 + 9 for l.
-5
Let f be (4/6)/(6/81). Suppose f = 4*x - 7. Solve -i + x = -3*j, -j - 3*j + 1 = 5*i for i.
1
Let k be (248/868)/((-2)/(-28)). Solve 3*m = 6*m - 2*u + 2, -3*m + 5*u = -k for m.
-2
Let m(z) = -z + 8. Let r be m(6). Suppose 2*q - 81*y - 19 = -78*y, -11 = 2*q + 3*y. Solve 5 = v - b + 2, 2*b - q = -r*v for v.
2
Suppose 0 = 3*q + i - 15, -4*q + 20 = -2*i - 2*i. Solve q*h + 2*z - 15 = 7*z, -7 = -5*h + 3*z for h.
-1
Let n(y) = -2*y**2 + 15*y + 16. Let h be n(8). Suppose -h*l + 5*l = -9. Solve 4*a - 12 = 0, l*s + 5*a - 33 + 3 = 0 for s.
5
Suppose -1 = 2*m - 7. Suppose -m*n = -3 - 0. Let y be (-1 + n)/(2 + -4). Solve -3*j - 7 = -4, y = p - 3*j - 8 for p.
5
Let n(z) = 16*z - 7. Let i be n(3). Suppose 4*q + 3*h - i = 0, -5*q = h + 4*h - 45. Solve q = 5*s + l, -l - 1 = -s + 3 for s.
3
Suppose -4*l + 0*l = -48. Let m be (-48)/l - (-5 - -1). Solve 3*g + 13 = b, m = b + 2*b + 5*g + 3 for b.
4
Suppose -6*a + 21*a - 30 = 0. Let s be (1*a)/((-14)/(-28)). Solve -8 = s*m + 3*c, -3*m + m = -3*c + 4 for m.
-2
Suppose a = 11 - 8. Suppose 2 = -w + f + a, -3*f = -9. Solve 2*n - t = -3, -w*t = -n + 4*n + 10 for n.
-2
Suppose 6*s - 3*s = -l + 25, -2*s + 5*l = 6. Solve 3*c + y - s = 0, -5*c - 1 + 2 = -y for c.
1
Let d(q) = 2*q + 29. Suppose 29 = -3*u - 7. Let x be d(u). Suppose 0 = m - 5 - 0. Solve 5*g = 4*i + i + x, -m*g + 21 = -i for i.
4
Let v = -24 + 31. Let f(c) = c**3 - 8*c**2 + 7*c + 5. Let s be f(v). Let z be 14/4*10/s. Solve -z = -2*h - 3*i, 2 = -5*h + 3*i - 12 for h.
-1
Suppose -2*r = 7*r. Solve 0 = 4*a - 2*h - 20, 3*a + h + 2*h - 15 = r for a.
5
Let d = -2 + 3. Let q = 3 + d. Solve 0*j + 5*v - 30 = j, -j = q*v - 15 for j.
-5
Let y be ((-3 - 7) + 11)/((-3)/(-15)). Solve q = 2*n + n - 5, y*n - 19 = -q for q.
4
Let k be (-1)/22*-4 + (-2679)/33. Let v = -79 - k. Solve 0 = -v*b + m + 10, 2*b - 4*b + 10 = 4*m for b.
5
Let j be 44/10 + (-4)/10. Let f(x) = 0*x**2 - 7*x - 4 + 6*x**2 + 0*x**2 + 11*x**3 - 12*x**3. Let n be f(4). Solve d = o + 9, -j*d + o + n + 21 = 0 for d.
4
Suppose 0 = 63*s - 68*s + 15. Solve -12 = -s*u + 3*b, 0 = -4*u + 5*b - 8*b + 16 for u.
4
Let m be 40/6 - 3/(-9). Let f be (-18 - (-2 - 1))/(-1). Let n = f + -11. Solve -r = 5*g + m + 23, n*r - g = -15 for r.
-5
Suppose -4*i = 5*k - 5 + 8, 0 = 4*i + 4*k. Solve -i*w = -3*o, 3*o = 2*w - 7*w + 8 for w.
1
Suppose -12*g + 15*g + 6 = 3*l, 0 = -5*l + g + 10. Solve -r + 5*c - 2 + 19 = 0, -l*c - 5 = -r for r.
-3
Suppose -15*z + 5*z = -40. Solve 2*d = 4*m, 6*m - 2*m + 12 = -z*d for m.
-1
Suppose 4*o + 70 = 5*c + 445, 300 = -4*c - 2*o. Let n = -71 - c. Solve 2*d = -n, -b + 5 + 0 = -4*d for b.
-3
Suppose 50*l = 56*l - 30. Solve 0 = -l*p + 2*k + 10, -2*p + 4*k = -5*p + 32 for p.
4
Let k be 2/3 + (-10)/(-3). Suppose i - 2 = -2*n + 2, 3*i = -2*n + k. Let x = 25 + -25. Solve i = -5*s + 2*z + 11, x = -s - 2*z - z + 9 for s.
3
Suppose 2*r - 2 = 8. Let f be -1*1*r/(-1). Let y = -43 + 47. Solve v - 4 = y*u, f*v = -4*u - 29 + 1 for v.
-4
Suppose -2*u = 2*l - 70, -u + 28 - 153 = -4*l. Let b = l + -27. Solve b*f - 4*k = -7*k + 17, -5*k - 25 = -5*f for f.
4
Let t(m) = m**2 + 36*m + 43. Let y be t(-35). Let a(p) = p + 3*p**2 - 6 - 2*p**2 - 8*p. Let v be a(y). Solve 0 = v*l + o - 5, 0 = -l + 5*o - 0 + 8 for l.
3
Let h(o) = -8*o**2. Let d be h(-1). Let q be 78/21 - d/28. Solve 4*t = -5*v - 22, q*t = 2*t + v - 4 for t.
-3
Let y(c) = -c**3 + 19*c**2 + c - 11. Let j be y(19). Suppose 0 = j*b - 9 - 87. Suppose -6*n + 0*n + 18 = 0. Solve n*k = 5*p + 12, -2*k - 2*p = b - 4 for k.
-1
Suppose 5*n - 30 = -5*x, -4*n + 15 = 2*x - 1. Solve -3*m = x*r - 2*r - 21, r - 18 = -3*m for r.
3
Let w = 35 + -31. Suppose q + 68 = w*g, 0 = g + 2*q - 19 + 2. Let n be (1/(-1))/(1/(-2)). Solve -n*x - 3*d = 3*x + 23, -g = 3*x + 5*d for x.
-4
Let j(a) = -a**2 - 10*a - 6. Let g be j(-9). Suppose 4*t = g*r - 49 - 1, 0 = -3*t - 6. Solve -5*v = -4*l + 1, -2*l = 4*v - 6 - r for l.
4
Suppose -3*v - 12 = 0, u - 5*u + 72 = -2*v. Solve -4*x - 13 = -d, -2*d + 5*x = -d - u for d.
1
Let g(q) = q**2 - 9*q + 15. Let z be g(7). Let d be (0 - -10)/(2*z). Solve -4*k = -4*y - 20, -3*k + d = -y + 3*y for k.
3
Suppose -s = -5*a + 23, -9*a + 3*s + | {
"pile_set_name": "DM Mathematics"
} |
sequence li when two letters picked without replacement from gigiwilwllggggliii?
4/51
What is prob of sequence zou when three letters picked without replacement from uiouuiuuuuouuuzuozz?
11/646
Four letters picked without replacement from {u: 2, i: 1, e: 2, j: 2, t: 1, p: 1}. What is prob of sequence ijee?
1/756
What is prob of sequence ok when two letters picked without replacement from akokkkkkkobkb?
4/39
What is prob of sequence lllx when four letters picked without replacement from {l: 3, x: 1}?
1/4
Calculate prob of sequence ohpo when four letters picked without replacement from htozpohhhhoohhh.
4/1365
Four letters picked without replacement from {a: 2, g: 7, e: 9}. Give prob of sequence geeg.
7/170
Calculate prob of sequence glbl when four letters picked without replacement from bgljnjl.
1/420
What is prob of sequence ss when two letters picked without replacement from kssssssksssssk?
55/91
Two letters picked without replacement from kkuhh. Give prob of sequence hu.
1/10
Four letters picked without replacement from hhhehehhzhehhhhhz. What is prob of sequence heze?
3/1190
What is prob of sequence lw when two letters picked without replacement from powpoodlo?
1/72
Calculate prob of sequence fj when two letters picked without replacement from fffjrfrfjfjfj.
7/39
Two letters picked without replacement from ddccccdcl. What is prob of sequence dl?
1/24
Three letters picked without replacement from {s: 2, a: 8}. What is prob of sequence ssa?
1/45
Three letters picked without replacement from ffemfmmmfmmmf. What is prob of sequence mmf?
35/286
Calculate prob of sequence zz when two letters picked without replacement from vrvrrvzrzzv.
3/55
Two letters picked without replacement from {o: 3, l: 1, w: 6, q: 1, a: 1, v: 1}. What is prob of sequence lo?
1/52
Four letters picked without replacement from ajlklk. What is prob of sequence kkaj?
1/180
Three letters picked without replacement from eblge. What is prob of sequence elb?
1/30
What is prob of sequence tin when three letters picked without replacement from fhtnbinb?
1/168
Three letters picked without replacement from {c: 2, l: 7, m: 2, a: 5, z: 2}. Give prob of sequence clm.
7/1224
Calculate prob of sequence ih when two letters picked without replacement from {y: 1, h: 3, k: 10, i: 5, j: 1}.
3/76
What is prob of sequence sfs when three letters picked without replacement from gglfsfssgg?
1/60
Two letters picked without replacement from ooonjzooowjwooozyonn. Give prob of sequence ww.
1/190
Two letters picked without replacement from ucuuiiuhhiuuchuuhhh. Give prob of sequence ii.
1/57
Three letters picked without replacement from {q: 4, h: 8, i: 2, n: 5}. Give prob of sequence qhh.
112/2907
Three letters picked without replacement from {x: 6, c: 6}. Give prob of sequence xcx.
3/22
What is prob of sequence mmm when three letters picked without replacement from {m: 4}?
1
What is prob of sequence utt when three letters picked without replacement from {f: 2, t: 3, r: 2, u: 6}?
3/143
Two letters picked without replacement from {f: 5, d: 9}. What is prob of sequence fd?
45/182
Two letters picked without replacement from {j: 2, n: 1, x: 1}. What is prob of sequence jx?
1/6
Three letters picked without replacement from {r: 5, s: 2, i: 1, w: 1, g: 1, p: 7}. Give prob of sequence rpw.
7/816
Two letters picked without replacement from {l: 2, z: 2, x: 1}. Give prob of sequence lz.
1/5
Calculate prob of sequence ttbb when four letters picked without replacement from {t: 5, b: 2}.
1/21
Calculate prob of sequence ccr when three letters picked without replacement from {o: 2, r: 1, c: 2, z: 1}.
1/60
Calculate prob of sequence bm when two letters picked without replacement from {p: 1, m: 1, j: 2, b: 1, a: 1, r: 2}.
1/56
Four letters picked without replacement from {h: 3, t: 1, p: 4, f: 4, k: 1, q: 1}. What is prob of sequence ftkf?
1/2002
What is prob of sequence hii when three letters picked without replacement from hiiihhihhhhhhihh?
11/168
Two letters picked without replacement from mwmmwm. What is prob of sequence mw?
4/15
Calculate prob of sequence rr when two letters picked without replacement from {g: 8, r: 2, k: 2, e: 2}.
1/91
Four letters picked without replacement from {t: 4, u: 1, n: 2}. Give prob of sequence tttt.
1/35
Calculate prob of sequence fa when two letters picked without replacement from {t: 3, a: 3, d: 3, s: 1, f: 6}.
3/40
Two letters picked without replacement from eedddeedeeeedeeeeeee. Give prob of sequence de.
15/76
What is prob of sequence mmhm when four letters picked without replacement from hqmqqqhqmqmqhhhqhqmq?
2/1615
Two letters picked without replacement from xxixiksiyzixizyisii. What is prob of sequence zs?
2/171
Four letters picked without replacement from cccbtxbctcxt. What is prob of sequence cbct?
1/99
What is prob of sequence fppf when four letters picked without replacement from ppfpfpfpfpppkfpfpp?
55/1224
Calculate prob of sequence ta when two letters picked without replacement from ajjjt.
1/20
Two letters picked without replacement from {l: 1, w: 2, a: 1, x: 1, r: 1, v: 1}. What is prob of sequence xr?
1/42
Two letters picked without replacement from {q: 1, r: 1, j: 1, i: 1, n: 1}. Give prob of sequence qi.
1/20
Three letters picked without replacement from uyuyyyyuuyy. What is prob of sequence yyy?
7/33
Two letters picked without replacement from ebiddehv. Give prob of sequence dh.
1/28
Two letters picked without replacement from {v: 7, z: 1, k: 4, q: 1}. What is prob of sequence vv?
7/26
Calculate prob of sequence yyy when three letters picked without replacement from {x: 6, y: 13}.
286/969
What is prob of sequence cm when two letters picked without replacement from {c: 1, m: 3, r: 4, g: 2, t: 9}?
1/114
Calculate prob of sequence zoc when three letters picked without replacement from wcewowwwwjcwwczcw.
1/1020
Two letters picked without replacement from {c: 4, v: 3, a: 1, d: 1, b: 2, g: 1}. What is prob of sequence cg?
1/33
Two letters picked without replacement from rdddrcddcbco. What is prob of sequence rr?
1/66
Calculate prob of sequence xxu when three letters picked without replacement from {x: 4, u: 10}.
5/91
Calculate prob of sequence wh when two letters picked without replacement from {h: 1, w: 2}.
1/3
Calculate prob of sequence vdd when three letters picked without replacement from vzztzzjzjdzv.
0
What is prob of sequence pu when two letters picked without replacement from pppupuppppppp?
11/78
Calculate prob of sequence qbi when three letters picked without replacement from {i: 1, q: 3, b: 12}.
3/280
Three letters picked without replacement from rqqqffqqdddqdf. Give prob of sequence qrf.
3/364
Four letters picked without replacement from {a: 2, n: 10, k: 3}. Give prob of sequence kkkn.
1/546
Three letters picked without replacement from {e: 1, q: 4, n: 2, u: 3, g: 6}. Give prob of sequence enn.
1/1680
What is prob of sequence ggyg when four letters picked without replacement from gyygyyyyyyyygy?
1/364
Calculate prob of sequence yck when three letters picked without replacement from kkyckkckc.
5/168
Four letters picked without replacement from {m: 6, i: 5, a: 1, j: 2, f: 1}. What is prob of sequence maji?
1/546
Three letters picked without replacement from {w: 12, t: 3}. What is prob of sequence tww?
66/455
Four letters picked without replacement from fslssxxlfwfxxpw. What is prob of sequence fwfl?
1/1365
What is prob of sequence sx when two letters picked without replacement from {o: 1, x: 1, w: 5, s: 10}?
5/136
Four letters picked without replacement from yuinuhxyxuhxh. Give prob of sequence yyhu.
3/2860
What is prob of sequence rzz when three letters picked without replacement from {z: 6, d: 4, r: 3}?
15/286
What is prob of sequence oop when three letters picked without replacement from {o: 4, p: 1, g: 3}?
1/28
Two letters picked without replacement from {a: 9, s: 3, h: 2, g: 4}. Give prob of sequence gh.
4/153
What is prob of sequence tas when three letters picked without replacement from atpspatj?
1/84
Calculate prob of sequence lq when two letters picked without replacement from {q: 1, k: 1, h: 2, l: 2}.
1/15
Four letters picked without replacement from qqeesqsqeqe. Give prob of sequence qsqs.
1/198
What is prob of sequence yehe when four letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
nd 496.
2715600
Calculate the common denominator of -7/1959920 and 49/20.
1959920
What is the common denominator of 50/11713 and 79/106?
23426
Calculate the common denominator of 79/675 and -49/276.
62100
What is the lowest common multiple of 4730 and 40?
18920
Calculate the smallest common multiple of 367288 and 868.
2571016
What is the common denominator of 35/9 and 29/1985631?
5956893
What is the common denominator of -43/109224 and 27/185?
546120
What is the least common multiple of 19431 and 14859?
252603
What is the common denominator of 19/7 and 49/419247?
2934729
What is the lowest common multiple of 4246 and 6948?
76428
What is the lowest common multiple of 11 and 3199?
35189
Find the common denominator of -7/18 and 19/2097.
4194
Calculate the common denominator of -5/13352 and -29/20028.
40056
What is the common denominator of -9/4628 and 139/534?
13884
Calculate the smallest common multiple of 42894 and 14298.
42894
Find the common denominator of -61/10528 and -55/2632.
10528
Find the common denominator of -46/6495 and -61/12990.
12990
Calculate the lowest common multiple of 120 and 1308.
13080
What is the smallest common multiple of 256797 and 11?
2824767
Find the common denominator of 163/2808 and 89/10944.
426816
Calculate the common denominator of 53/4 and -121/131300.
131300
What is the lowest common multiple of 44550 and 300?
89100
What is the common denominator of -67/492 and 55/1692?
69372
Calculate the smallest common multiple of 1700 and 1980.
168300
What is the common denominator of 79/610 and 17/80?
4880
Find the common denominator of -23/90 and 87/76970.
692730
What is the lowest common multiple of 2 and 31329?
62658
Find the common denominator of 49/33 and -11/17487.
192357
Calculate the lowest common multiple of 518 and 3976.
147112
What is the lowest common multiple of 56 and 67914?
271656
What is the common denominator of -37/36 and 44/117?
468
Find the common denominator of -37/476 and -137/2982.
101388
Find the common denominator of 3/1196 and 17/9035.
831220
What is the smallest common multiple of 6102 and 592572?
5333148
What is the smallest common multiple of 188700 and 37740?
188700
What is the least common multiple of 56126 and 1064?
224504
Find the common denominator of 79/20616 and 34/651.
4473672
What is the lowest common multiple of 1096931 and 11?
1096931
What is the common denominator of 14/89415 and -91/23844?
357660
What is the lowest common multiple of 10674 and 2235?
7952130
What is the common denominator of -169/660 and -67/14850?
29700
What is the least common multiple of 7625 and 875?
53375
Find the common denominator of 99/208 and -155/624.
624
Calculate the common denominator of 145/20682 and 121/36768.
330912
Calculate the lowest common multiple of 66 and 9618.
105798
Calculate the least common multiple of 2240 and 633472.
3167360
Find the common denominator of -18 and -85/95736.
95736
Calculate the common denominator of 83/483882 and 57/8.
1935528
Calculate the common denominator of -119/13392 and 17/84.
93744
Calculate the smallest common multiple of 698573 and 5.
3492865
What is the common denominator of -51/3575 and -101/2150?
307450
Calculate the smallest common multiple of 64926 and 97389.
194778
What is the least common multiple of 12 and 5082?
10164
What is the lowest common multiple of 27637 and 3?
82911
Find the common denominator of -89/194780 and 32/87651.
1753020
What is the least common multiple of 36641 and 26648?
293128
Calculate the smallest common multiple of 39221 and 6034.
78442
Calculate the least common multiple of 27401 and 2200.
5480200
Calculate the least common multiple of 229320 and 5616.
1375920
What is the common denominator of -79/131580 and 11/12?
131580
What is the common denominator of -61/231615 and -47/164704?
7411680
What is the smallest common multiple of 5724 and 106?
5724
Calculate the common denominator of 61/537 and -73/50478.
50478
What is the lowest common multiple of 98760 and 4938?
98760
What is the least common multiple of 662025 and 175?
662025
What is the least common multiple of 1830 and 19215?
38430
Find the common denominator of -37/75460 and -17/2310.
226380
Find the common denominator of -16/1177 and -46/4601.
50611
What is the least common multiple of 34632 and 1048?
4536792
What is the smallest common multiple of 304 and 67564?
270256
What is the common denominator of 5/304982 and -25/5668?
7929532
What is the lowest common multiple of 242 and 19872?
2404512
Calculate the common denominator of -53/27370 and -101/5865.
82110
What is the common denominator of -53/7377 and -82/81147?
81147
What is the lowest common multiple of 304 and 19912?
39824
Calculate the lowest common multiple of 326680 and 3266800.
3266800
Find the common denominator of 31/559230 and 23/447384.
2236920
What is the least common multiple of 168 and 26740?
160440
Calculate the lowest common multiple of 117 and 17892.
232596
Calculate the smallest common multiple of 96 and 1056.
1056
What is the smallest common multiple of 127314 and 70730?
636570
What is the common denominator of -61/85472 and -169/448728?
1794912
Find the common denominator of -27/182426 and 49/424.
729704
Calculate the lowest common multiple of 17380 and 357080.
3927880
What is the smallest common multiple of 16 and 62716?
250864
Calculate the smallest common multiple of 52236 and 40628.
365652
Calculate the common denominator of 9/1096612 and 85/88.
2193224
What is the common denominator of -39/2491 and 9/2?
4982
Find the common denominator of -91/344 and 10/3397.
27176
Calculate the smallest common multiple of 364 and 155610.
311220
What is the smallest common multiple of 27 and 75333?
677997
What is the lowest common multiple of 1449 and 77280?
231840
Calculate the smallest common multiple of 8775 and 22724.
15338700
Calculate the common denominator of -46/305 and 57/1304.
397720
Calculate the common denominator of 1/20124 and -61/450.
503100
Calculate the common denominator of -23/220 and 40/22407.
448140
Calculate the smallest common multiple of 37563 and 5931.
112689
What is the smallest common multiple of 122484 and 61242?
122484
Find the common denominator of -9/4730 and 87/22.
4730
What is the common denominator of 59/203 and 104/66555?
465885
Calculate the least common multiple of 2219 and 297980.
2085860
Calculate the common denominator of 71/2 and 131/48684.
48684
Find the common denominator of 63/130 and 73/12922.
64610
Calculate the least common multiple of 1017414 and 6810.
5087070
Find the common denominator of -17/28520 and 59/85808.
9867920
Calculate the smallest common multiple of 336 and 341040.
341040
What is the smallest common multiple of 27 and 2597649?
23378841
Calculate the smallest common multiple of 1524 and 201676.
605028
Calculate the lowest common multiple of 3766 and 41964.
293748
Find the common denominator of -43/500 and 127/26000.
26000
What is the smallest common multiple of 36016 and 22?
396176
What is the least common multiple of 505 and 1212?
6060
Calculate the common denominator of -5/7152 and -67/132312.
264624
Find the common denominator of 63/104 and 71/106676.
2773576
Find the common denominator of 61/634596 and -43/27.
5711364
Calculate the least common multiple of 6 and 18237.
36474
Calculate the lowest common multiple of 1394694 and 1084762.
9762858
Find the common denominator of 5/186333 and 149/342.
1117998
What is the common denominator of 103/1020 and -43/408?
2040
Find the common denominator of 23/2948 and 43/45694.
91388
Calculate the smallest common multiple of 3 and 40917.
40917
Calculate the common denominator of -29/726 and -43/264.
2904
Calculate the smallest common multiple of 10 and 135.
270
Find the common denominator of 3/820 and -18/2245.
368180
Find the common denominator of 101/59244 and 37/32.
473952
Calculate the lowest common multiple of 3988 and 23928.
23928
Calculate the common denominator of -97/6364 and 107/45408.
1680096
What is the least common multiple of 1422 and 9164?
82476
Find the common denominator of 65/11616 and -89/72.
34848
Find the common denominator of 59/580 and 27/1088.
157760
Calculate the common denominator of 13/4458 and -40/2229.
4458
What is the common denominator of -3/8 and 5/125706?
502824
What is the s | {
"pile_set_name": "DM Mathematics"
} |
.036 - -0.086. Let l = q - 0.15. What is the second smallest value in l, 2/19, h?
l
Let r = 1100 - 1105. Suppose 9*a = 4*a. What is the fourth biggest value in -17, 3, a, r?
-17
Let m = -278/355 - -13/71. What is the second smallest value in m, 0.15, 0?
0
Let s = -0.3 - -0.43. Let m = -16.87 - s. Let g = m + 16.9. Which is the third smallest value? (a) g (b) -3 (c) 0.3
c
Let s be (-64)/(-96)*9/14. Let i(l) = l + 11. Let v be i(-8). Which is the third biggest value? (a) -2 (b) v (c) s (d) 0.4
d
Let i(x) = -212*x + 429. Let w be i(2). Suppose 0 = y + f - 6, -4*f + 12 = -y + 2*y. Let b be y*(1/(-6))/1. What is the third biggest value in 2, b, w?
b
Let s = 0.33 + 18.67. Let g = 18 - s. What is the second biggest value in g, -2/7, 8?
-2/7
Let r = -90.7 - -91. Which is the second smallest value? (a) 0.05 (b) -5 (c) r (d) 3
a
Let y = 28 + -223/8. Suppose -3*o + 0 = 5*z - 3, 2*z - 2 = -o. Which is the third biggest value? (a) 4 (b) y (c) z
b
Suppose -17*z + 52 = 1. What is the second biggest value in 4/7, z, -0.4?
4/7
Let b = 238 + -238.3. Let s = -0.12 - 4.88. What is the fourth biggest value in 0.2, b, s, -3/2?
s
Let x = -16.3 - -13.9. Let p = 1.6 - x. Which is the smallest value? (a) 0.3 (b) 0.9 (c) p
a
Suppose 5*a + 1 = 4*b + 13, -5*b - 5*a + 30 = 0. Suppose 5*v = -10, n + 0*v = v - b. What is the third biggest value in -5, n, 1?
-5
Let g = -11705 + 58178/5. Let s = g - -69. Which is the second biggest value? (a) s (b) 1/2 (c) -3/5
a
Let c = 1.1 + -1.6. Let z(q) = -2*q**2 - 28*q - 23. Let n be z(-13). What is the smallest value in 5, c, n?
c
Let u = 107.6 + -108. Let m = 10.4 + u. What is the fourth smallest value in -1, 1/5, 0.5, m?
m
Let p be ((-15)/50)/(2/(-55)). Let t = 157/20 - p. What is the second biggest value in -1/6, 3, 1, t?
1
Let t = 57 + -32. Suppose 5*g + t = 5*s, 4*g - 2*g + 11 = 3*s. Which is the third biggest value? (a) -0.07 (b) 0 (c) s
a
Let s = -0.8 + 1.1. Let x = 37.956 - -0.044. Let u = 35 - x. Which is the smallest value? (a) 0.2 (b) u (c) s
b
Let f(j) = 63*j + 185. Let i be f(-3). What is the third biggest value in -1/6, -67, i?
-67
Suppose -6*b + 16*b = 0. Let s = 0.3 - 0.2. What is the smallest value in s, b, 4?
b
Suppose -3*p = -5*p - 5*t + 9, -3*p - t - 6 = 0. Let d = -4.3 - -2.6. Let f = d + 2. What is the third smallest value in p, 0.04, f?
f
Let c = -347 + 4509/13. What is the smallest value in -1/23, 3/5, c, 4?
c
Let j = -0.12 + -0.38. Suppose 0 = -5*y + w + 4, -2*y + 1 = 2*w - 3. What is the smallest value in 0, -0.4, y, j?
j
Suppose -7*q - 15 - 27 = 0. Let f be -3 - (2/q)/((-21)/(-171)). Let y = 0.2 - -0.2. Which is the smallest value? (a) f (b) 0.5 (c) y
a
Suppose y + b + 14 = 3*b, b + 3 = -2*y. Let l = 49/39 - 12/13. Suppose -3*z + 6 = -6*z. What is the third biggest value in l, y, z?
y
Let w = -17.8 + 10.5. Let h = -7.2 - w. Which is the biggest value? (a) 1 (b) 4 (c) h (d) -1/18
b
Let k = 3691/4 - 923. Which is the smallest value? (a) k (b) -2/7 (c) 1 (d) 1/4
b
Let s = -217/3 + 73. Let b = 51.29 + -51. Let t = 1.71 + b. What is the third smallest value in s, 1, t?
t
Let h = 12.4 + -14.4. Which is the biggest value? (a) h (b) 0.2 (c) 2 (d) 3/4
c
Let f(n) = 2*n**2 - 33*n - 45. Let q be f(18). What is the biggest value in 4, 0.1, q?
q
Let r = -20944/3 - -6983. Let k be 1/(-2) - 1/(-2). Which is the fourth smallest value? (a) -0.5 (b) 2/13 (c) k (d) r
d
Let z = 4049/90 + -45. What is the second biggest value in z, -5, -2/9?
-2/9
Let m = 422 - 31648/75. Let h = m - -28/75. Which is the biggest value? (a) -2/5 (b) -0.5 (c) h (d) -0.2
c
Let z be 16/(-48) - 1/12*-38. Which is the second biggest value? (a) z (b) 2/5 (c) -3
b
Let u(k) = k**3 - 5*k**2 + 5*k - 2. Let o be u(3). Let q(t) = 34*t + 677. Let h be q(-20). Which is the third smallest value? (a) 0.5 (b) o (c) h
a
Suppose -2*c - 5*z = -38, 0 = c + 2*z - 0 - 17. Let v be (c - 7)*(-3)/81. What is the second smallest value in v, -0.3, 3/7?
v
Let z = 210 + -209.6. What is the fourth smallest value in z, 2/9, 7, 0?
7
Suppose -10 = 5*g - 10*g. Let d = 13 - 11.7. Let t = 0.3 - d. Which is the second biggest value? (a) g (b) t (c) -1/3
c
Let j = -27.88 - 0.12. Let d = j + 16. Which is the second biggest value? (a) -2 (b) d (c) 2
a
Let o = -71 + 59. Let t be (4/6)/(8/o). Let x = 6.93 - -0.07. Which is the third biggest value? (a) x (b) t (c) -0.1
b
Let s = -314 + 314.1. What is the smallest value in 5/6, -9, s?
-9
Let g = 409/4 + -2053/20. What is the third biggest value in 0, 1/10, g, -3/4?
g
Let o(z) = 6 - 2*z + 1 - 4*z**2 - 4 - 4*z**2. Let q be o(1). Let d = q + 9. What is the smallest value in 1/2, d, -4?
-4
Let t = -2.6 + 6. Let f = -3 + t. Let l = -254/7 + 36. What is the second smallest value in -3, f, l?
l
Let t = 356 + -356.02. Which is the third biggest value? (a) -5 (b) 2/5 (c) 5 (d) t
d
Let k = 1.7 + -3.7. Suppose 0 = h - 5, -8*y - 23 = -5*y - 4*h. What is the third smallest value in 2/9, k, y?
2/9
Let k = 1407.5 - 1408. What is the second smallest value in 4, k, 2, 5?
2
Let i = -245 - -733/3. What is the third biggest value in 2/13, i, 5, 2/15?
2/15
Let q = 93 + -87. Let n = -3.91 - 0.09. Let o = -3.9 - n. Which is the third smallest value? (a) o (b) 1 (c) q
c
Suppose 0 = 2*u + 3*n + 17, -2*u = 3*u + n + 49. Let k(o) = o**3 + 11*o**2 + 10*o - 2. Let g be k(u). Which is the third smallest value? (a) 18 (b) g (c) 2/3
a
Let o = 2.5 + -2. Let v(f) = f**3 + f**2 - 78*f + 43. Let r be v(8). Let n be -4*1/(-4)*2. Which is the second biggest value? (a) n (b) o (c) r
b
Let s be (-1)/10*2*2. Which is the second smallest value? (a) 3 (b) s (c) -2 (d) -1
d
Suppose 24*w + 5*w - 232 = 0. What is the biggest value in -3/2, -3, 2/13, w?
w
Let x = 8/217 - 6751/651. Which is the smallest value? (a) 0.8 (b) 1/5 (c) x (d) -0.3
c
Let v = 45.37 - 45. Let q = -0.67 + v. What is the third smallest value in -2, -1.4, q?
q
Let w = -6.29 - -4.29. Which is the third biggest value? (a) -0.43 (b) w (c) -5
c
Let z = 62 + -60. Let j(x) = 2*x**2 + x. Let t be j(-1). What is the smallest value in z, 2/33, -0.2, t?
-0.2
Let v = -4/35 + 2/5. What is the third biggest value in -3, v, -4, -0.2?
-3
Let o = -256 - -1023/4. Let l = 0 + -0.1. What is the third smallest value in l, o, 3/5, 5?
3/5
Let u = 1.903 - -0.097. Which is the third biggest value? (a) u (b) -22/7 (c) -3/8
b
Let v(n) = -4*n**2 - n + 2. Let d be ((-4)/8)/((-1)/(-4)). Let z be v(d). Let o = z + 9. Which is the biggest value? (a) o (b) -1/6 (c) 0
c
Let r = 102 + -1328/13. Let h(f) = f**3 + 13*f**2 + 11*f - 8. Let z be h(-12). Let g = 23/2 + -12. Which is the biggest value? (a) g (b) z (c) r
b
Let x(d) = -d**2 - 9*d + 51. Let h(o) = -o**3 - 5*o**2 - 2*o - 1. Let f be h(-3). Let j be x(f). Which is the smallest value? (a) j (b) 0.2 (c) -3/2
c
Let s = 1357 - 1356.7. Which is the third biggest value? (a) 4/5 (b) 4 (c) s (d) -4
c
Let p be ((-45)/48 - 0)*20/15. Which is the second smallest value? (a) 4 (b) -2/25 (c) p
b
Let y = -0.5 - 0.5. Let c = y + 0.6. Let s = 9.17 + -9.37. What is the smallest value in s, c, 1?
c
Suppose -2*m + 5*m + 11 = -v, 7 = 4*v - 5*m. What is the second smallest value in 0.1, 2, v, 0.05?
0.05
Let z = 18.4 + -20.4. Which is the biggest value? (a) 0 (b) 3 (c) z
b
Let v = -0.5 + 1. Let h = -5.48 + 5.2. Let t = -0.28 - h. Which is the second biggest value? (a) v (b) t (c) 0.05
c
Let q = 6.16 + -1.16. Which is the third biggest value? (a) q (b) 2/5 (c) 3 (d) -7
b
Let t = 166 - 155. Let x = 42 + -43. Which is the third smallest value? (a) 5 (b) x (c) t
c
Let y = 0.1543 + -0.4543. Which is the third biggest value? (a) y (b) 2/9 (c) -1 (d) 3
a
Let s = -309 + 306. Which is the fourth biggest value? (a) -5 (b) s (c) 0.07 (d) -2
a
Let m = -6 - -8.2. Let k = m + -4.2. Let x = -4 - k. What is the second smallest value in 3, -4, x?
x
Let k = 784 - 789. Which is the second biggest value? (a) k (b) 1 (c) -21
a
Let v = 3331/14 - 238. What is the smallest value in 3/5, v, 1?
v
Let o = -0.35 + -4.65. Let q = 0 + o. Let g = -1 + 0.9. What is the second smallest value in -2/3, g, q?
-2/3
Let t be 84/(-8) - 0 - (-9)/6. Let g be 6/t*6/(-5). Which is the third biggest value? (a) 4/7 (b) -4 (c) g ( | {
"pile_set_name": "DM Mathematics"
} |
-115/9)
Simplify (p**(1/11)/(p**(-5/3)*p*p))**(-2/27) assuming p is positive.
p**(16/891)
Simplify (v*(v*v*v*v/(v*v**(-13/2)*v))/v)/(v/(v**(2/11)*v)) assuming v is positive.
v**(191/22)
Simplify (d**1)**0/(d**(1/2))**(-1/2) assuming d is positive.
d**(1/4)
Simplify (o**(2/3))**(-10)/(o**(-1/3))**39 assuming o is positive.
o**(19/3)
Simplify c**(-31)*c*c**(3/11) assuming c is positive.
c**(-327/11)
Simplify (k/((k*(k**(-1)/k)/k)/k))**(19/6)/(k**(1/3))**(-6) assuming k is positive.
k**(44/3)
Simplify j*j**(1/2)*(j*j*j**(-12))/j assuming j is positive.
j**(-19/2)
Simplify (k**6/(k**(-5/3)/k))/(k**0/(k**3*k)) assuming k is positive.
k**(38/3)
Simplify ((z**1*z)/z)**10*(z**(2/7)*z)**37 assuming z is positive.
z**(403/7)
Simplify (b**(-1/4)*b*b/(b*b**(4/5)*b))**(-38) assuming b is positive.
b**(399/10)
Simplify (u**(-1)/u*u)**(-2/107)/(u**(-6)*u/((u/u**(-2/3))/u)) assuming u is positive.
u**(1825/321)
Simplify j**(-1/19)*j**(-7) assuming j is positive.
j**(-134/19)
Simplify (i/(i*i*i*i**(1/6)*i*i)*i*i)/i*i**(-2)*i**(-6)/(i*i**(-1)/i*i) assuming i is positive.
i**(-67/6)
Simplify (x/((x/(x/x**(5/7)))/x)*x)/(x*x**(-26)) assuming x is positive.
x**(191/7)
Simplify c**(2/43)*c*c**11 assuming c is positive.
c**(518/43)
Simplify m**(-1/4)*m*m*m**(-2/13)*m*m*m/(m*m**4)*m**(2/15) assuming m is positive.
m**(-211/780)
Simplify (i**(-2/3)/((i*i/((i*i/(i**(-1/6)/i))/i))/i*i))/(i**(-2)*i**(2/3)/i) assuming i is positive.
i**(11/6)
Simplify (z/z**6)/((z/(z/z**(-1/2)))/z) assuming z is positive.
z**(-7/2)
Simplify (i**(3/10)*i*i)**3 assuming i is positive.
i**(69/10)
Simplify (q**(7/5)/q**4)**(-3) assuming q is positive.
q**(39/5)
Simplify b/b**(5/3)*b**7*b*b*b**5*b/(b*b/(b/(b/b**3))*b) assuming b is positive.
b**(43/3)
Simplify (s*s*s**(-1))**(-27/5)/(s**(1/3)/s)**(2/29) assuming s is positive.
s**(-2329/435)
Simplify j/(j*j**7)*j**(-1/4)/j*(j**(1/4))**36 assuming j is positive.
j**(3/4)
Simplify (a/((a**9*a*a)/a))/a*a/(a**(5/16)/a) assuming a is positive.
a**(-133/16)
Simplify ((t/(t/t**3))**29)**(1/6) assuming t is positive.
t**(29/2)
Simplify (y*y/y**(-1/5)*y)**36*((y/(y*(y**1*y)/y))/y)**(-1/4) assuming y is positive.
y**(1157/10)
Simplify ((c**0)**(-43))**16 assuming c is positive.
1
Simplify (o**(-1))**(-2/115)*((((o/(o*o*o/(o*o**(-1/4))*o))/o)/o)/o)**(-2/25) assuming o is positive.
o**(503/1150)
Simplify h**(-2/9)*h**(3/19) assuming h is positive.
h**(-11/171)
Simplify (i**(-2/15))**(17/5) assuming i is positive.
i**(-34/75)
Simplify d**(-2/3)*d*d*d*d*d*d*d**34*d assuming d is positive.
d**(121/3)
Simplify (z*z**(-1/13)*z**2)**(3/4) assuming z is positive.
z**(57/26)
Simplify r/r**(3/7)*r*r**0*(r*r/r**(5/4))/r**(1/4) assuming r is positive.
r**(29/14)
Simplify (u**(-1/24))**(2/77) assuming u is positive.
u**(-1/924)
Simplify b**(-5)*b*b**(-1/2)*b/(((b*b/((b*b**(1/10))/b))/b)/b*b)*b**(-4/7) assuming b is positive.
b**(-174/35)
Simplify ((b**(-4/15)*b*b)/b**(-23/3))**(-3/8) assuming b is positive.
b**(-141/40)
Simplify ((v*v**(14/5))/v)**(-2/79) assuming v is positive.
v**(-28/395)
Simplify (w**(-2))**(-16/3)/(w**2)**3 assuming w is positive.
w**(14/3)
Simplify ((n/(n/n**(3/7)))**(-17))**(3/5) assuming n is positive.
n**(-153/35)
Simplify (y/((y*y*y**(-1))/y))**50/(y**0/y)**(2/67) assuming y is positive.
y**(3352/67)
Simplify ((x**(2/7))**(-24/5))**(-5/6) assuming x is positive.
x**(8/7)
Simplify (f*f/(f**4*f)*f/(((f/(f/f**(-3/4)))/f)/f))**(3/4) assuming f is positive.
f**(9/16)
Simplify (p**6/p)**43 assuming p is positive.
p**215
Simplify (h**0)**(-27) assuming h is positive.
1
Simplify (r**(-2/3)*r**(-12))**(-2/11) assuming r is positive.
r**(76/33)
Simplify ((s**(-8))**9)**(-31) assuming s is positive.
s**2232
Simplify (r*r**(-1))**(1/25)/(((r/(r*(r*r*r/(r/(r*r**(-6)))*r)/r))/r)/r**2) assuming r is positive.
1
Simplify ((z/(z*z**(2/3)/z*z))/z)**33/((((z*((z**(-1/4)*z)/z)/z*z)/z*z)/z)/z**4) assuming z is positive.
z**(-203/4)
Simplify y**5*y**(-5) assuming y is positive.
1
Simplify (u/(u**1*u)*u)**(-2)/(u/(u*u*u**1*u))**(-25) assuming u is positive.
u**(-75)
Simplify m/(m**(2/33)/m)*(m*m**(-24))/m assuming m is positive.
m**(-728/33)
Simplify ((f/(f/(f**(-13)/f)))/f**(-12))**(-26) assuming f is positive.
f**52
Simplify l**(-5)*l*l*l**(8/3) assuming l is positive.
l**(-1/3)
Simplify (((p**(2/3)*p)/p)/p)**14 assuming p is positive.
p**(-14/3)
Simplify ((q/(q*q**(4/5))*q)/q)/q**(-1/8) assuming q is positive.
q**(-27/40)
Simplify (r**(-7)/r)/(r/(r*r**(-4/7)))*(r*r**6)/r*(r/(r*r*r**(3/8)))/r assuming r is positive.
r**(-277/56)
Simplify r**(-1/44)*(r*(r**(10/3)/r)/r)/r assuming r is positive.
r**(173/132)
Simplify (p**1)**10 assuming p is positive.
p**10
Simplify (x/x**17)**(-5) assuming x is positive.
x**80
Simplify (f/(f*f*f*f**33*f))/f**(-6/13) assuming f is positive.
f**(-462/13)
Simplify (i**(-1/16)/i)/(i**8*i) assuming i is positive.
i**(-161/16)
Simplify (x**12*x*x)**(-26/5) assuming x is positive.
x**(-364/5)
Simplify ((t/(t/t**(-2)))**(-15))**4 assuming t is positive.
t**120
Simplify c*c*c/(c*((c/(((c/c**(-35))/c)/c))/c)/c)*c*c**(-30)*c assuming c is positive.
c**9
Simplify x**(1/13)*x**(-6/5) assuming x is positive.
x**(-73/65)
Simplify ((i*i**7)/(i/i**(-1/2)))**(-33) assuming i is positive.
i**(-429/2)
Simplify d/d**(-13)*d*d/d**(4/3) assuming d is positive.
d**(44/3)
Simplify (g**2*g*g**(-2/3))/(((g*g**(-5/2))/g)/((g/(g*(g/g**(-3)*g)/g))/g*g)) assuming g is positive.
g**(5/6)
Simplify (r**(-2)*r)/(r**(-3/10)/r)*(r**(-1))**11 assuming r is positive.
r**(-107/10)
Simplify ((a**(6/11)/a)**(4/7))**(-42) assuming a is positive.
a**(120/11)
Simplify (u**(-2/7)*u*u**(-2))/(u**2/u**(1/2)) assuming u is positive.
u**(-39/14)
Simplify z**(-1/7)/((z/(z/z**(-2/19)*z))/z)*z**(-2/9)/z*z*z/(z/(z*z**7*z)) assuming z is positive.
z**(12856/1197)
Simplify (g**6*g**(-10/9))**30 assuming g is positive.
g**(440/3)
Simplify a*a/(a/(a/((a/(a/a**(1/5)))/a)))*a/a**(9/4)*a assuming a is positive.
a**(51/20)
Simplify ((d*(d/(d*(d/d**(-3/8))/d))/d)/(d/d**(4/7)))**(-26/5) assuming d is positive.
d**(117/28)
Simplify x**(-32)/x**(-6) assuming x is positive.
x**(-26)
Simplify r**(-8)*r*r*(r*((r/r**(-1/13))/r)/r)/r*r*r**5/r*r*r/((r/(r*r**5))/r) assuming r is positive.
r**(79/13)
Simplify (t**4*t**(-5))**47 assuming t is positive.
t**(-47)
Simplify (((m**(2/5)/m)/m*m)**48)**(-2/43) assuming m is positive.
m**(288/215)
Simplify (s*s**(-7))**(-2/47) assuming s is positive.
s**(12/47)
Simplify (j*j*j/(j/(j*j**(-6)*j))*j*(j*(j*j/((j*j**(-5))/j))/j)/j)**(-3/7) assuming j is positive.
j**(-15/7)
Simplify (((x*x/(x**(-1)/x))/x)/(x*x**(2/3)))/((x**(1/4)/x)/x**(-1/5)) assuming x is positive.
x**(113/60)
Simplify ((((g/(g*g/(g**(3/10)/g)))/g)/g)/g**(4/3))**35 assuming g is positive.
g**(-1057/6)
Simplify (m**(1/5))**(-7/10)/(m**(-1))**(-1/21) assuming m is positive.
m**(-197/1050)
Simplify (g**(-3/4)/g*g/g**(-1/3))**(-5/9) assuming g is positive.
g**(25/108)
Simplify (u*(u**14*u)/u)**32 assuming u is positive.
u**480
Simplify (s/(s*s**0*s))**(-3)/((s*s/s**(1/3))/s**(-3/7)) assuming s is positive.
s**(19/21)
Simplify (g**(-2)/g)/g**0*g**(1/2)/(g*g**(-2/15)) assuming g is positive.
g**(-101/30)
Simplify ((u**(-6)*u)/u**(-7))/((u**(-8)*u)/(u*u**(1/10))) assuming u is positive.
u**(101/10)
Simplify (b*b**3)/(b/(b**5/b*b)*b)*((b/(b**(-1/5)*b))/b)**(-27) assuming b is positive.
b**(143/5)
Simplify (j/j**(-8)*j/(j*j**(-3))*j)**(-22) assuming j is positive.
j**(-286)
Simplify (p**0*p*p*(p*p/p**(-13))/p*p)**(-17) assuming p is positive.
p**(-289)
Simplify (n**(3/8)/n*n/(n**6/n*n))**(-32/5) assuming n is positive.
n**36
Simplify ((c/c**(-4))**(-38))**(3/41) assuming c is positive.
c**(-570/41)
Simplify r**(2/19)/(r/r**22) assuming r is positive.
r**(401/19)
Simplify p**32/(p/p**(-1/19)) assuming p is positive.
p**(588/19)
Simplify (c**1/c)**(14/9)*(c/(c/c**2*c*c))**(3/10) assuming c is positive.
1
Simplify (z*(z**48*z*z*z*z)/z*z)**(-47) assuming z is positive.
z**(-2491)
Simplify (i**(1/7)/((i/(i/i**(-7)*i))/i*i*i*i*i))**(-28) assuming i is positive.
i**(-144)
Simplify n*(n/((n/((n**2/n)/n*n))/n))/n*n**(-1/6)*n*n*n**(1/4)*n*n**(2/13) assuming n is positive.
n**(817/156)
Simplify (t**(-2/3))**(-7/9)/(t**0)**(-44) assuming t is positive.
t**(14/27)
Simplify ((p/p**(1/12))/p*p)**(2/5) assuming p is | {
"pile_set_name": "DM Mathematics"
} |
of n?
11
Let l(c) = -14*c. Suppose 0 = -3*t - 0*k - 5*k - 154, 2*k = 2*t + 108. Let r = t - -47. List the prime factors of l(r).
2, 3, 7
Let h(u) be the second derivative of u**7/1260 - 3*u**5/40 - 2*u**4/3 - 20*u. Let c(t) be the third derivative of h(t). What are the prime factors of c(4)?
23
Suppose -379 - 424 = -m. Suppose 4*d + 267 = m. Suppose h - d + 50 = 0. What are the prime factors of h?
2, 3, 7
Let p(w) = 2*w - 9. Suppose 3*t - t = -2*u + 14, 3*t + u = 27. Let s be p(t). Suppose 10*b = s*b - 235. What are the prime factors of b?
5, 47
Let v = 126027 - 72704. List the prime factors of v.
53323
Suppose 122*u + 179860 = 142*u. List the prime factors of u.
17, 23
Let d(y) = -4*y**3 - 11*y**2 + 23*y - 29. Let p(x) = -5*x**3 - 9*x**2 + 23*x - 30. Let c(u) = -4*d(u) + 3*p(u). List the prime factors of c(-18).
2, 29
List the prime factors of -54 + (-1978)/(-43) - (2 - 32)*343.
2, 53, 97
Let v(q) = -q**2 + 24*q - 39. Let t be v(23). What are the prime factors of 733/4*t/(-4)?
733
Suppose 6*d = 3*d + 441. Suppose 23*t - 20*t = d. Let r = -31 + t. What are the prime factors of r?
2, 3
Suppose 2*x = 5*q + 3673, 5*x - 2*x - 3*q = 5523. Suppose 3*o - 8*o - 3*f = -x, -o = -5*f - 352. What are the prime factors of o?
367
Suppose 0 = 3*q + 4*g - 3*g - 17, 2*q = 5*g - 17. Let w be -3 + q + -3 + -4. Let k = w - -40. List the prime factors of k.
2, 17
Let b(l) = -26*l - 49. Let a be b(-2). What are the prime factors of (a + -1)/(12/102)?
17
Let j be 0 + 1 + 13 + 9 + -10. Suppose -56 = -j*l + 2596. List the prime factors of l.
2, 3, 17
Let f = 299 + -299. Suppose -4*w - 2*q = -2298, f = -4*w - w + 4*q + 2840. What are the prime factors of w?
2, 11, 13
Suppose -4*b = b. Let a = b + -30. List the prime factors of (-576)/a*(-10)/(-3).
2
Let k = 6615 - 4453. Suppose 1633 = 11*t - k. What are the prime factors of t?
3, 5, 23
Let u(x) = 5*x**2 - 20*x - 98. List the prime factors of u(110).
2, 29101
Suppose -92 = 3*x - 2*c, c + 28 = 5*x + 172. Let i = 121 + x. Let h = -18 + i. List the prime factors of h.
3, 5
Let v = -16876 + 59325. What are the prime factors of v?
11, 17, 227
Let b = -212 - -342. List the prime factors of (b/(-91))/((6/(-28))/3).
2, 5
Suppose -5965 - 1145 = -3*x. Suppose 5*d - 4 - 6 = 0, x = 4*h + d. What are the prime factors of h?
2, 37
Let z(d) be the second derivative of -38*d**3/3 + 58*d**2 - 14*d. What are the prime factors of z(-15)?
2, 157
Suppose 1 = -d - c + 11, 3*d - 34 = -c. List the prime factors of (9 - -3)/(d/366).
2, 3, 61
Suppose -3*c + 4*c + 5*l = 21, 5*c = -l - 15. List the prime factors of 536 - 1 - 2/c*0.
5, 107
Let r = -1079 + 1605. Suppose -7*h - r = -2*b - 4*h, 3*h = b - 257. What are the prime factors of b?
269
Suppose -3*i + 46 = 4*d - 51, -3*i = 5*d - 101. Suppose -815 = -2*y + 3*v, 2*y - 24*v - 833 = -i*v. What are the prime factors of y?
2, 103
Let b = 704 - 1535. Let g = b + 1218. List the prime factors of g.
3, 43
Suppose 0 = 3*r + 2*l - l - 45, 4*r - 47 = 3*l. Suppose -350 = -u - 4*x, 5*u + 18*x - r*x = 1686. List the prime factors of u.
2, 167
Suppose -7*b + 2*b + 365 = 0. Let f = 115 - 113. Suppose -f*u + 63 + b = 0. List the prime factors of u.
2, 17
List the prime factors of ((-85218)/(-35))/(8/20).
3, 2029
Let w(r) = r**3 + 11*r**2 + 25*r - 13. Let q be w(-7). Suppose -4*f - q*f = -220284. What are the prime factors of (f/116)/((-6)/(-8))?
211
Let j(b) = -2*b**2 - 17*b + 26. Let i be j(-9). Suppose 69344 = 27*z + i*z. List the prime factors of z.
2, 197
Let b(r) = 421*r + 969. List the prime factors of b(10).
5179
Let q be (-6)/30 + (-4528)/10. Let p = q + 1335. List the prime factors of p.
2, 3, 7
Suppose -4*b = -8*t + 9*t - 209, 4*b + 16 = 0. Let o = t - -132. What are the prime factors of o?
3, 7, 17
Let t(x) = 1722*x**2 - 44*x + 89. What are the prime factors of t(2)?
83
Suppose 2*m + 3*y + 0*y = 6, 4*y - 8 = -4*m. Suppose m = -2*h + 95 + 117. List the prime factors of h.
2, 53
Let k(c) = 7*c**2 + 6*c - 4. Suppose 0 = -2*y + y - 24. Let l = y + 27. What are the prime factors of k(l)?
7, 11
Suppose 2*b - 630 = 330. Suppose -3*g - 7*d + 6*d + 360 = 0, 4*g - d - b = 0. List the prime factors of g.
2, 3, 5
Let u = 123 + -118. List the prime factors of (u - -1)*(-356)/(-6).
2, 89
Let j(p) be the first derivative of -p**4/4 + 4*p**3/3 + 7*p**2/2 - 16*p + 10. Let f be j(4). What are the prime factors of (f/9)/((-2)/(-189))?
2, 3, 7
Suppose 2*l - 224 = 3*c, l + 3*l - 428 = -4*c. Let x = -23 + 27. Suppose -l = -x*s + 167. List the prime factors of s.
3, 23
Let n = -1275 + 12412. What are the prime factors of n?
7, 37, 43
Let y = 84972 + -38126. What are the prime factors of y?
2, 59, 397
Let y be ((-1)/(-2))/1 + 47350/20. Let x = y - 1255. What are the prime factors of x?
3, 7, 53
Let v = 320 - 308. List the prime factors of 25/150 + 3346/v.
3, 31
Let f(k) = k**3 - 4*k**2 + 8*k + 3. Let w be f(3). Suppose 7*d = 5*d + w. What are the prime factors of d/((9/(-42))/(-1))?
2, 3, 7
Let x(m) = 202*m - 160. Let b(q) = -102*q + 79. Let v(l) = 13*b(l) + 6*x(l). List the prime factors of v(-11).
1321
Let x(j) = -2*j**2 + 6*j + 343. Let b be x(0). Let f = b - 48. List the prime factors of f.
5, 59
Let q(g) = g**3 + 2*g**2 - 7*g - 2. Let w be q(-3). Let d(h) = 2*h + 1. Let s be d(w). Let z = 25 - s. What are the prime factors of z?
2
Let v be -1 + 1545 + (-31 - -37). Let u = -943 + v. What are the prime factors of u?
607
Let f(r) = r**3 - 6*r**2 - 12*r + 8. Suppose -5*c - 11 + 6 = 0, 0 = -4*y + 2*c + 30. Let h be f(y). Let s = h + 90. List the prime factors of s.
3, 7
Let i(x) = x**3 + 6*x**2 + 4*x - 5. Let b be i(-5). Suppose 272 = 2*n - 0*n. Suppose b*h - n = -h. List the prime factors of h.
2, 17
Let n = 1744 - 2502. What are the prime factors of -13 - -6 - (n - -1)?
2, 3, 5
Let u(g) = -1 + 4 + 3 + 68*g. Let f be u(3). Suppose 5*k - 4*m = 539, -2*m - m - f = -2*k. List the prime factors of k.
3, 37
Let f = 236 + -133. Let i = f + -37. What are the prime factors of i?
2, 3, 11
Let t(k) = -44836*k**3 + 8*k**2 + 9*k. List the prime factors of t(-1).
3, 5, 7, 61
Suppose -3*s = -5*p - 14, -2*s = -512*p + 507*p - 11. Let r = -36 + -42. What are the prime factors of (0 - r/(-2))*p?
3, 13
Let v = 3679 - 2162. Suppose 0 = -5*z + v + 1553. List the prime factors of z.
2, 307
Suppose -3*j = -j - 5*r - 30, 5*j = -2*r + 46. Suppose -j*w = -17*w + 1638. List the prime factors of w.
2, 3, 13
Suppose 0 = 10*a - 11*a - 2. Let r be 100 + (-10)/(-2) + a + 0. Suppose -5*i = -10, -x - 2*i = -0*i - r. List the prime factors of x.
3, 11
Let t = 21880 - 11819. List the prime factors of t.
10061
Suppose 3*t = -2*n + 39322, 14*t - 9*t - 78648 = -4*n. What are the prime factors of n?
71, 277
List the prime factors of 17635/3 + -1 + 77/(-33).
5, 47
Suppose 8*m = -0*m + 15744. Suppose 0 = -4*a + 7*a + d - 1478, 4*a + 4*d = m. List the prime factors of a.
17, 29
Let q(r) = -183*r**3 - 2*r**2 + r + 2. Let g be q(-1). Let b = g - 355. Let h = b + 296. List the prime factors of h.
3, 41
Suppose 0 = -34*u + 39*u + t - 52951, 5*t = -4*u + 42365. What are the prime factors of u?
2, 3, 5, 353
Suppose 0 = -55*i + 52*i - 9. Let s(v) = v**3 + 3*v**2 - 2*v + 1. Let n be s(i). Suppose 828 = 2*h + n*h. List the prime factors of h.
2, 23
Let f(y) = 10710*y**3 - 8*y**2 - 2*y + 3. What are the prime factors of f(1)?
7, 11, 139
Let t be 168/27 - (-16)/(-72). Let m(p) = -p - 12*p + t + 10 + 2*p. List the prime factors of m(-6).
2, 41
Let w(h) = -7*h - 32. Let u be w(-15). Let o = 85 - u. Let n = 33 - o. What are the prime factors of n?
3, 7
Suppose -6*z + 12 = -4*z. Let n(s) = 5*s**2 - 4*s + 14*s**3 + 7 + 2*s**2 - 15*s**3 + 0*s. List the prime factors of n(z).
19
Let p be 0/(-1) + 0 + 4. Suppose -p = -d, 0 = -3*i + i + 2*d - 2. Suppose 3*a + i*g = 288, 2*a - 251 = -5*g - 74. List the prime factors of a.
101
Let s be 18/(-12) - ((-15)/6 + -1). What are the prime factors of s/16 + (-1)/8*-911?
2, 3, 19
Let b(y) = -y**3 - 7*y**2 + 7*y + 144. What are the prime factors of b(-22)?
2, 5, 29
Suppose -7*w = 6*w - w. Suppose 2*o + l = o + 588, w = -5*o + 3*l + 2980. Suppose 4*g - 167 - o = 0. List the prime factors of g.
2, 5, 19
Let d be (2/4)/(5*(-4)/(-720)). Let c be (44/6)/(d/837). Let t = c - 135. What are the prime factors of t?
2, 103
Let s = 3424 - 2154. Suppose | {
"pile_set_name": "DM Mathematics"
} |
- 4*q**2
Let r(y) = 2*y + 17. Let l(k) = -383*k**2 - 4*k. Determine r(l(o)).
-766*o**2 - 8*o + 17
Let m(d) = -221*d**2 - 10*d + 219*d**2 + 10*d. Let l = 6 + -2. Let p(z) = 4 - l - 9*z. Give m(p(a)).
-162*a**2
Let w(t) = -2*t. Let h(f) = 90*f + 25. Let m(j) = j**2 - 6*j + 5. Let s be m(7). Let z(n) = -3*n - s*n + 13 - 17. Let r(q) = 4*h(q) + 25*z(q). Give r(w(c)).
30*c
Let n(h) = h**2 - 71. Let x(k) = 21395*k. Calculate n(x(d)).
457746025*d**2 - 71
Let n(o) = -o**2. Let w(t) be the second derivative of 59*t**3/6 - t - 100. What is n(w(x))?
-3481*x**2
Let g(h) = 3*h**2. Let d(s) = -s**2 + s - 1. Let p(y) = -6*y**2 + y - 2. Let b(n) = -2*d(n) + p(n). What is g(b(k))?
48*k**4 + 24*k**3 + 3*k**2
Let s(f) = 196*f**2 - 21*f**2 - 97*f**2. Let z(k) = k**2. Give s(z(c)).
78*c**4
Let h(k) be the third derivative of 13*k**5/120 + 19*k**3/6 - 11*k**2. Let s(o) be the first derivative of h(o). Let f(g) = g**2. Determine s(f(z)).
13*z**2
Let r(s) = -28*s. Let d(p) be the third derivative of p**6/720 - 13*p**4/24 + 19*p**2. Let y(t) be the second derivative of d(t). Calculate y(r(x)).
-28*x
Let n(k) = 2*k**2. Let m(q) = 307*q - 10. Let h(t) = 132010*t - 4298. Let f(g) = -5*h(g) + 2149*m(g). Determine n(f(w)).
188498*w**2
Let u(r) = 7*r**2. Let l(b) be the first derivative of 3*b**3 - 4*b**3 + 6 - 4 + 3. What is u(l(o))?
63*o**4
Let q(l) = -6*l**2 - 35. Let t(k) = -41*k**2 + 2. Give q(t(z)).
-10086*z**4 + 984*z**2 - 59
Let m(u) = 3*u**2. Let w(i) = -i**2 + 2. Let j(d) = -d**2 + 2 - 6 + 5 + 0*d**2. Let n(s) = 2*j(s) - w(s). Calculate n(m(c)).
-9*c**4
Let f(h) = 26*h**2. Let n(d) = 12492*d**2. Determine n(f(s)).
8444592*s**4
Let o(l) be the second derivative of -20*l**3/3 - 2*l - 35. Let g(r) = -6*r. What is o(g(a))?
240*a
Let h(n) = -2*n**2. Let k(d) = -2*d**2 - 2*d**2 - 4*d**2 + 6*d**2 - 3*d**2. What is h(k(r))?
-50*r**4
Let i(u) = -2*u - 2. Let q(y) = -66*y - 30. Let r(m) = -45*i(m) + 3*q(m). Let d(l) = l**2. Determine r(d(g)).
-108*g**2
Let k(f) = 162*f**2 + 23*f - 11. Let u(z) = -4*z. Calculate u(k(i)).
-648*i**2 - 92*i + 44
Let b(y) be the second derivative of -y**3/6 - 19*y. Let h(c) be the third derivative of -7*c**5/20 + c**2. What is h(b(u))?
-21*u**2
Let w(x) = -12600*x**2. Let r(d) = 5*d**2. Give r(w(y)).
793800000*y**4
Let l(c) = 66*c + 6. Let g(q) = 1202*q. Calculate l(g(h)).
79332*h + 6
Let j(q) = -19*q + 4. Let r(v) = 5*v - 1. Let a(f) = j(f) + 4*r(f). Let l(s) = 14*s**2 - 1. Calculate a(l(m)).
14*m**2 - 1
Let j(x) = -5*x - 6. Let g(k) = 6*k + 7. Let n(o) = -6*g(o) - 7*j(o). Let q(w) be the second derivative of w**4/12 + 4*w**2 + 26*w. What is q(n(m))?
m**2 + 8
Let x(a) = 4*a - 2. Let l be x(1). Let r(j) = 4*j**2 - 8*j**l + 5*j**2. Let w(h) be the first derivative of -8*h**2 - 13. What is r(w(k))?
256*k**2
Let l(j) = 6*j**2. Let d(f) = -7*f - 2*f**2 + 3*f + 7*f. Let o be (-6)/27 - (-50)/(-18). Let z(p) = 3*p**2 - 4*p. Let r(q) = o*z(q) - 4*d(q). Give l(r(c)).
6*c**4
Let h(y) = 40*y - 21*y - 22*y. Let a(w) = -7*w**2 + 9. Give a(h(i)).
-63*i**2 + 9
Let p(x) = -12*x - 123. Let t(n) = 18*n**2. Determine p(t(j)).
-216*j**2 - 123
Let h(w) be the third derivative of -31*w**4/12 + w**2 + 101. Let c(m) = 13*m**2. Give c(h(o)).
49972*o**2
Let k(t) = 55540*t**2. Let g(o) = o**2. Calculate g(k(a)).
3084691600*a**4
Let u(y) = -13*y. Let l(m) = -29*m + 8. Let s be l(-4). Let j = -86 + s. Let i(h) = h - 38 + j. Calculate i(u(w)).
-13*w
Let v(y) = 1361*y**2. Let x(m) = 36*m**2 - 2. What is x(v(f))?
66683556*f**4 - 2
Let a(u) = 3*u. Let v(d) be the second derivative of -32*d**4/3 + 85*d. Calculate a(v(t)).
-384*t**2
Let k(o) = 2*o + 3*o - 2*o. Let q(c) be the third derivative of c**4/24 + c**3/6 - 34*c**2. Let u(r) = 16*r + 20. Let h(b) = 20*q(b) - u(b). Give h(k(y)).
12*y
Let p be (6/((-2)/(-1)))/1. Let h(c) = -p*c**2 - 3 + 3. Let y(j) be the first derivative of -2*j**2 + 346. Give h(y(g)).
-48*g**2
Let q(r) = -2*r. Suppose 6*t - 30 = 4*t. Let p = t - 13. Let y(i) = -12*i**p + 2*i**2 + 9*i**2. What is q(y(m))?
2*m**2
Let d(m) = -27*m**2. Let g(f) = -28*f**2. Let u(a) = 6*d(a) - 5*g(a). Let v(l) = 3*l**2. Determine v(u(q)).
1452*q**4
Let o(b) = 2*b**2. Let s(g) be the first derivative of -135*g**2 - 829. Determine o(s(k)).
145800*k**2
Let j(g) = g**2. Let c(d) = -5*d - 25. Let a be c(-6). Let l(t) = 63*t. Let o(n) = 16*n. Let b(r) = a*l(r) - 21*o(r). Calculate b(j(v)).
-21*v**2
Let i(y) = -3*y - 71 + y + 93. Let g(q) = 2*q**2. Give g(i(l)).
8*l**2 - 176*l + 968
Let q(d) be the first derivative of -3*d**2 + 157. Let f(g) = -24*g. Calculate q(f(l)).
144*l
Let x = 0 - -2. Let z(w) = 68 - 68 + 4*w**x. Let v(g) = 6*g**2 - 5*g - 5. Let a(c) = c**2 - c - 1. Let s(o) = -5*a(o) + v(o). Determine s(z(f)).
16*f**4
Let h(p) be the first derivative of -4*p**3/3 + 31. Suppose -5*w + 30 = -3*n, 3*n + 26 = w + 8. Let g(d) = -w*d + 0*d + 2*d. Give g(h(v)).
4*v**2
Let w(s) = -s**2. Let t(o) = 23*o**2 + 17*o + 18. Let f(r) = 8*r**2 + 6*r + 6. Let j(v) = -17*f(v) + 6*t(v). Give j(w(l)).
2*l**4 + 6
Suppose 0 = -6*u + 2*u + 16. Suppose u*g = 14 - 6. Let b(f) = 3*f**2 - g*f**2 + 3*f**2 - f**2. Let o(j) = 5*j. Calculate b(o(y)).
75*y**2
Let c(k) = 23*k. Let z(s) = 8*s. Let y(r) = r**2 - 12*r + 21. Let w be y(10). Let l(j) = j. Let p(x) = w*z(x) - 6*l(x). Determine c(p(f)).
46*f
Let f(k) = k - 8. Let c(n) = n - 9. Let j(o) = -8*c(o) + 9*f(o). Let z(h) be the first derivative of -4*h**2 + 1. Calculate z(j(a)).
-8*a
Let y(o) = -1. Suppose -7 = 3*r - 13. Let q(a) = -a**2 + 2. Let t(w) = r*y(w) + q(w). Let v(s) = 2*s**2 + 5*s. Determine t(v(g)).
-4*g**4 - 20*g**3 - 25*g**2
Let y(i) = -8*i - 5. Let b(n) = -12*n - 8. Let c(s) = 5*b(s) - 8*y(s). Let h(f) = 12*f - 4*f - 9*f. Determine c(h(l)).
-4*l
Let q(m) = -21*m**2 + 2*m + 4. Let l(u) = -41*u**2 + 5*u + 10. Let j(g) = 2*l(g) - 5*q(g). Let n(d) = d. Determine n(j(o)).
23*o**2
Let z(u) = -69*u + 167. Let d(x) = 2*x**2. Determine d(z(r)).
9522*r**2 - 46092*r + 55778
Let o(x) = 10*x. Let t(h) be the second derivative of -h**5/40 - h**3/3 + 3*h**2/2 - 30*h - 1. Let v(k) be the second derivative of t(k). Determine v(o(b)).
-30*b
Let m(p) = -3*p**2 + 47*p. Let f(l) = -11*l. Let a(z) = 2*z. Let k(u) = 6*a(u) + f(u). Give k(m(h)).
-3*h**2 + 47*h
Let t(a) = 48*a + 27. Let b(s) = 7*s + 4. Let v be ((-9)/(-12))/(4/(-144)). Let o(w) = v*b(w) + 4*t(w). Let p(k) = -4 + 4*k + 5 - 1. What is o(p(y))?
12*y
Let d(w) = 78*w**2 + 80*w**2 + 82*w**2 - 228*w**2. Let h(v) be the third derivative of -v**4/12 + v**2. What is d(h(m))?
48*m**2
Let t(w) = -31*w + 3. Let p(z) = -115*z**2. Determine p(t(f)).
-110515*f**2 + 21390*f - 1035
Let o(x) = 14*x - 88. Let h(d) = 2*d - 12. Let p(u) = -44*h(u) + 6*o(u). Let a(s) = 2*s**2 - 3*s + 3*s. Give a(p(g)).
32*g**2
Let x(f) = f + 38. Let p(j) = 92*j. Determine p(x(z)).
92*z + 3496
Let g(d) be the first derivative of -2*d**3/3 + 1. Let f(r) = 8*r**2 + 2*r + 2. Let v(z) = -17*z**2 - 5*z - 5. Let i(k) = 5*f(k) + 2*v(k). Determine i(g(w)).
24*w**4
Let f(o) be the first derivative of 0*o - 3 + 1/2*o**2. Let q(p) = -6*p**2. Calculate q(f(a)).
-6*a**2
Let y = -77 - -80. Let h(k) = -y*k**2 + 5*k**2 - 6*k**2 + 5*k**2. Let v(c) be the third derivative of -c**5/30 + c**2. What is v(h(x))?
-2*x**4
Let l(i) = 8*i - 5*i - i - 4*i. Let k(p) = 7*p + 2. Let v(s) = 27*s + 9. Let f(a) = 9*k(a) - 2*v(a). Give l(f(z)).
-18*z
Let l(h) = 14*h**2 - 2*h. Let g(w) = -1089*w. Determine g(l(s)).
-15246*s**2 + 2178*s
Let w(c) = 76*c**2. Let q(n) = -92*n - 98. What is q(w(p))?
-6992*p**2 - 98
Let q(n) = -158694*n. Let s(k) = -3*k. What is q(s(l))?
476082*l
Let j(a) = -2*a. Let g(y) = -y**2 - 6*y - 6. Let o be g(-3). Let l(m) = -o*m + 2*m + 11 - 44. What is j(l(x))?
2*x + 66
Let n(m) = 17*m + 4*m + 9 - 25 + 7. Let v(q) = -5*q + 2. Let a be (-9)/((-3)/(-3 - 0)). Let h(p) = a*v(p) - 2*n(p). Let o(t) = -2*t**2. Give o(h(u)).
-18*u**2
Let g(t) = 1810 - 1810 - 5*t**2 + t**2 - 8*t. Let z(c) = -7*c**2. Calculate g(z(d)).
-196*d**4 + 56*d**2
Suppose 327 = 2*j - 377. Let h(s) = -8*s**2 - j + 352. Let c(v) = 6*v. Determine c(h(z)).
-48*z**2
Let r(m) = 18*m. Let w(u) = -8*u. Let l(f) = -2*f - 3. Let j(o) = -3*o - 5. Let c(p) = 3*j(p) - 5*l(p). Let z(s) = 6*c(s) + w(s). Give r(z(i)).
-36*i
Let q(f) = 2*f. Let j(s) = -94*s**2 + 66*s - 19*s - 25*s - 22*s. Determine q | {
"pile_set_name": "DM Mathematics"
} |
milligrams?
17750
How many years are there in 3/25 of a millennium?
120
What is 886341.7 decades in months?
106361004
What is five sixths of a week in hours?
140
Convert 63.76939 millennia to centuries.
637.6939
What is one sixteenth of a kilometer in millimeters?
62500
How many millilitres are there in 21/8 of a litre?
2625
What is 21/4 of a tonne in kilograms?
5250
Convert 80.26136ml to litres.
0.08026136
How many seconds are there in eight thirds of a minute?
160
What is three eighths of a kilometer in centimeters?
37500
What is 793.33362us in hours?
0.00000022037045
How many millilitres are there in nineteen quarters of a litre?
4750
How many decades are there in 13/5 of a millennium?
260
What is 25.11651nm in micrometers?
0.02511651
What is eleven halves of a kilogram in grams?
5500
How many months are there in five quarters of a year?
15
What is 19/4 of a week in hours?
798
How many microseconds are there in 3/40 of a second?
75000
What is 10/9 of a day in minutes?
1600
What is seven halves of a decade in months?
420
How many minutes are there in 9.782064 microseconds?
0.0000001630344
How many millilitres are there in 3/50 of a litre?
60
What is one tenth of a litre in millilitres?
100
How many meters are there in one quarter of a kilometer?
250
How many millimeters are there in 49/5 of a centimeter?
98
How many grams are there in 0.9527998 nanograms?
0.0000000009527998
What is 25/2 of a gram in milligrams?
12500
What is fifty-three fifths of a litre in millilitres?
10600
What is 7/4 of a gram in milligrams?
1750
What is 92461.11 weeks in days?
647227.77
How many millilitres are there in seventy-three fifths of a litre?
14600
How many millimeters are there in 76.78902 micrometers?
0.07678902
How many decades are there in eighteen fifths of a millennium?
360
How many centuries are there in fourty-six fifths of a millennium?
92
How many kilometers are there in 0.9992007m?
0.0009992007
How many decades are there in eleven halves of a millennium?
550
How many litres are there in 379.2662ml?
0.3792662
Convert 4.549382mg to micrograms.
4549.382
What is 5/4 of a litre in millilitres?
1250
How many tonnes are there in 80.899 milligrams?
0.000000080899
What is 4/3 of a minute in milliseconds?
80000
How many years are there in 415.1578 centuries?
41515.78
What is 0.27607 nanograms in milligrams?
0.00000027607
What is 673.435ms in microseconds?
673435
What is 41/2 of a litre in millilitres?
20500
How many weeks are there in 678.486942 nanoseconds?
0.000000000001121836875
What is 9937.363ng in milligrams?
0.009937363
How many litres are there in 92220.93 millilitres?
92.22093
Convert 4062.405 kilograms to nanograms.
4062405000000000
How many years are there in 7757.157 centuries?
775715.7
How many millennia are there in 522003.1 centuries?
52200.31
What is 72/5 of a litre in millilitres?
14400
Convert 0.1211836 centuries to decades.
1.211836
What is 7486.969 centuries in months?
8984362.8
Convert 3.910058 centuries to months.
4692.0696
How many minutes are there in seven sixths of a day?
1680
What is 63589.61 minutes in microseconds?
3815376600000
What is seventeen halves of a litre in millilitres?
8500
Convert 99341.94 days to nanoseconds.
8583143616000000000
How many centuries are there in 0.069567 years?
0.00069567
How many micrometers are there in one twentieth of a centimeter?
500
How many litres are there in 145.0984ml?
0.1450984
What is eleven halves of a litre in millilitres?
5500
What is 2/125 of a kilogram in milligrams?
16000
How many grams are there in 539462.8 micrograms?
0.5394628
How many minutes are there in 15082.74s?
251.379
What is 4412.433 kilometers in meters?
4412433
What is 89170.9 years in centuries?
891.709
What is 0.1765856 hours in seconds?
635.70816
What is one quarter of a kilometer in meters?
250
What is 7/25 of a milligram in micrograms?
280
How many months are there in 48/5 of a century?
11520
How many centuries are there in 28084.82 decades?
2808.482
How many millilitres are there in one tenth of a litre?
100
How many micrometers are there in 1.862145 millimeters?
1862.145
What is 1/20 of a century in years?
5
How many millilitres are there in seven eighths of a litre?
875
Convert 0.6148643 weeks to microseconds.
371869928640
How many grams are there in 72795.01ng?
0.00007279501
What is thirty-two fifths of a microsecond in nanoseconds?
6400
What is 25/4 of a kilogram in grams?
6250
How many millilitres are there in one tenth of a litre?
100
What is 761067.4ns in milliseconds?
0.7610674
What is 1/4 of a tonne in kilograms?
250
How many kilograms are there in three fifths of a tonne?
600
What is 508729.1 nanograms in kilograms?
0.0000005087291
How many millilitres are there in 589.3293 litres?
589329.3
What is 3/25 of a meter in millimeters?
120
Convert 185.9928s to nanoseconds.
185992800000
How many grams are there in 8368.478t?
8368478000
What is 7857.39nm in kilometers?
0.00000000785739
What is seven sixths of a decade in months?
140
Convert 4670.127 seconds to hours.
1.2972575
How many months are there in one sixth of a decade?
20
Convert 840211.9t to nanograms.
840211900000000000000
How many millilitres are there in 11/8 of a litre?
1375
Convert 9394.206 seconds to nanoseconds.
9394206000000
What is 61335.561 days in weeks?
8762.223
How many millilitres are there in 33.10523 litres?
33105.23
What is 9/10 of a litre in millilitres?
900
What is 448.7799 grams in kilograms?
0.4487799
How many millimeters are there in eighteen fifths of a centimeter?
36
How many milliseconds are there in 0.1951428us?
0.0001951428
Convert 351.1244ml to litres.
0.3511244
What is three fifths of a litre in millilitres?
600
How many months are there in 21/2 of a year?
126
What is 21/2 of a week in hours?
1764
What is one fifth of a millimeter in micrometers?
200
Convert 24.400197 months to years.
2.03334975
What is 2.4356685 months in centuries?
0.00202972375
How many hours are there in twenty-nine thirds of a week?
1624
What is 2.342188 weeks in hours?
393.487584
How many years are there in 1.798897 decades?
17.98897
How many grams are there in 6/25 of a kilogram?
240
What is 180367.1 centuries in millennia?
18036.71
What is 6/25 of a litre in millilitres?
240
Convert 37.95099 nanoseconds to microseconds.
0.03795099
Convert 2523.174ng to tonnes.
0.000000000002523174
What is five quarters of a micrometer in nanometers?
1250
Convert 479.5267 litres to millilitres.
479526.7
How many decades are there in 1/5 of a century?
2
How many decades are there in 17/4 of a millennium?
425
Convert 6.898269 micrometers to nanometers.
6898.269
How many months are there in 7.396566 millennia?
88758.792
How many meters are there in 71.6883 kilometers?
71688.3
How many micrograms are there in seventeen halves of a milligram?
8500
What is 1/4 of a meter in centimeters?
25
How many millilitres are there in 26244.46 litres?
26244460
How many centimeters are there in 801.2937 nanometers?
0.00008012937
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in 7/8 of a litre?
875
Convert 15575.67 millilitres to litres.
15.57567
How many nanoseconds are there in six fifths of a microsecond?
1200
How many months are there in 27/2 of a year?
162
What is 2795.774 nanometers in meters?
0.000002795774
What is 4253.148cm in nanometers?
42531480000
What is 3/10 of a kilometer in meters?
300
What is 8603.4ng in tonnes?
0.0000000000086034
Convert 4.878667ml to litres.
0.004878667
Convert 906.528mm to kilometers.
0.000906528
How many centuries are there in 82.1028 decades?
8.21028
How many litres are there in 6696.411ml?
6.696411
How many micrometers are there in 51/5 of a millimeter?
10200
How many meters are there in 44.41753km?
44417.53
Convert 0.3091171 micrometers to millimeters.
0.0003091171
What is 21/4 of a kilogram in grams?
5250
Convert 9287.34 millilitres to litres.
9.28734
How many milligrams are there in fourty-four fifths of a gram?
8800
Convert 6.228624l to millilitres.
6228.624
How many litres are there in 632976.2ml?
632.9762
How many months are there in 5/6 of a millennium?
10000
How many millimeters are there in 39041.25 nanometers?
0.03904125
What is 23681.19 millilitres in litres?
23.68119
What is 980.0809us in seco | {
"pile_set_name": "DM Mathematics"
} |
1755, 2633, 3511, 4389, 5267?
6145
What is the next term in 26, 35, 60, 107, 182?
291
What is next in 591, 1185, 1779?
2373
What comes next: -83, -82, -79, -74, -67, -58?
-47
What is next in -59, -79, -111, -155?
-211
What is next in 209, 431, 655, 881, 1109, 1339?
1571
What comes next: -48, -73, -98, -123, -148, -173?
-198
What comes next: -69, -118, -145, -138, -85, 26?
207
What is the next term in 7, 11, 19, 31?
47
What is next in 15, 20, -13, -102, -265, -520, -885?
-1378
What is next in 38, 74, 102, 116, 110, 78?
14
What is the next term in 103, 147, 221, 325, 459, 623?
817
What is the next term in -2, -1, -2, -5, -10, -17?
-26
What is next in -80, -332, -752, -1340, -2096, -3020, -4112?
-5372
What is the next term in 0, -3, -12, -27, -48, -75, -108?
-147
What comes next: -3, -10, -23, -42?
-67
What comes next: -160748, -160751, -160764, -160793, -160844, -160923, -161036?
-161189
What is the next term in 135, 127, 105, 63, -5?
-105
What comes next: 49566, 49565, 49564?
49563
What is next in 649, 1301, 1953, 2605?
3257
What comes next: 43, 182, 471, 958, 1691?
2718
What is the next term in 24, 48, 72?
96
What comes next: -24, -92, -204, -360, -560, -804, -1092?
-1424
What is the next term in -39, -65, -119, -207, -335, -509, -735, -1019?
-1367
What is the next term in -108, -138, -188, -258?
-348
What is the next term in -761, -752, -729, -686, -617, -516?
-377
What is the next term in 263, 253, 237, 215, 187, 153, 113?
67
What is the next term in -1, -6, -17, -34, -57, -86, -121?
-162
What is next in 3143, 3142, 3141, 3140, 3139?
3138
What is next in -59, -54, -39, -8, 45, 126?
241
What is the next term in -4143, -4144, -4145?
-4146
What comes next: 18, 30, 42, 54, 66?
78
What is the next term in 759, 751, 741, 729, 715, 699?
681
What is the next term in 89, 173, 253, 329, 401, 469?
533
What is the next term in -50, -81, -112, -143, -174?
-205
What is next in -153, -673, -1539, -2751, -4309, -6213?
-8463
What is the next term in -32, -92, -152, -212, -272, -332?
-392
What is the next term in -106, -102, -98, -94, -90?
-86
What is the next term in 42, 90, 142, 198, 258?
322
What is the next term in 20, 38, 76, 140, 236, 370, 548?
776
What is next in 359, 360, 347, 314, 255?
164
What is next in 16, 36, 68, 112, 168, 236?
316
What is next in 91, 82, 73, 64, 55?
46
What is next in 3539, 7075, 10611, 14147, 17683, 21219?
24755
What is next in -10, -7, -2, 5, 14, 25?
38
What is next in 1620, 1618, 1614, 1608, 1600, 1590, 1578?
1564
What is the next term in -253, -494, -713, -898, -1037?
-1118
What is next in -711, -703, -689, -669, -643?
-611
What is the next term in -23, -39, -45, -35, -3, 57, 151, 285?
465
What is the next term in 22, 23, -4, -71, -190, -373, -632?
-979
What is next in -11, -49, -113, -215, -367, -581, -869?
-1243
What is the next term in -9, -4, 11, 42, 95, 176, 291, 446?
647
What is next in 253, 254, 245, 220, 173?
98
What is the next term in -939, -1879, -2819, -3759?
-4699
What is the next term in 78, 157, 242, 333?
430
What is next in 186, 764, 1736, 3108, 4886, 7076?
9684
What is the next term in 279, 307, 337, 369, 403, 439, 477?
517
What comes next: 70, 288, 652, 1162, 1818, 2620?
3568
What is next in -4, -7, -28, -73, -148, -259, -412?
-613
What comes next: 76, 124, 172, 220, 268, 316?
364
What comes next: -57, -53, -37, -3, 55?
143
What is the next term in 876, 889, 904, 921, 940, 961, 984?
1009
What is next in -172, -152, -118, -64, 16, 128, 278?
472
What is the next term in -168, -155, -138, -117, -92?
-63
What is next in -19, 131, 387, 755, 1241, 1851?
2591
What is next in 18162, 18164, 18166, 18168?
18170
What comes next: -5, -25, -69, -149, -277?
-465
What is next in 22, 18, 10, -2, -18?
-38
What is next in 25, 70, 115, 160, 205?
250
What is the next term in 206, 413, 620, 827, 1034?
1241
What comes next: 36, 72, 160, 324, 588, 976?
1512
What is next in 9, 18, 29, 42?
57
What is the next term in -31, -17, 11, 59, 133, 239, 383?
571
What comes next: 21, 43, 69, 99, 133?
171
What is next in 519, 1084, 1649?
2214
What comes next: 91, 163, 213, 229, 199, 111?
-47
What is next in 94, 375, 844, 1501?
2346
What is next in -6, 121, 264, 429, 622?
849
What is next in 50, 51, 54, 59?
66
What is next in -83, -697, -2365, -5615, -10975?
-18973
What is the next term in -1934, -1931, -1928, -1925, -1922, -1919?
-1916
What comes next: 41338, 41340, 41344, 41350, 41358?
41368
What comes next: -25, -58, -91, -124, -157, -190?
-223
What comes next: 575, 1164, 1753, 2342, 2931?
3520
What comes next: 18, 76, 230, 528, 1018, 1748, 2766?
4120
What comes next: 247, 511, 773, 1033?
1291
What comes next: -67, -89, -149, -265, -455, -737, -1129?
-1649
What is next in -154, -632, -1430, -2548, -3986?
-5744
What is next in -144, -160, -178, -198, -220?
-244
What comes next: 94, 205, 336, 493, 682?
909
What is next in 2, -11, -24, -31, -26?
-3
What comes next: -321, -1311, -2961, -5271, -8241, -11871?
-16161
What is next in 788, 788, 790, 794, 800?
808
What is the next term in -67, -287, -653, -1165, -1823, -2627, -3577?
-4673
What comes next: -11, -4, 25, 88, 197, 364?
601
What is next in -15, -24, -33, -42, -51, -60?
-69
What comes next: -106, -203, -302, -403, -506?
-611
What is the next term in 87, 181, 275, 369, 463?
557
What is the next term in 15, 5, 3, 15, 47, 105, 195, 323?
495
What comes next: 0, 7, 14, 21, 28, 35?
42
What is next in 47, 50, 47, 32, -1, -58?
-145
What is next in 8, 2, -2, 2, 20, 58?
122
What is the next term in -472, -496, -520, -544?
-568
What is the next term in -146, -269, -392, -515, -638?
-761
What is next in -145, -129, -113, -97, -81?
-65
What comes next: 167, 236, 293, 332, 347, 332, 281, 188?
47
What comes next: -1811, -3615, -5421, -7229, -9039?
-10851
What is next in 105, 232, 377, 546, 745, 980, 1257?
1582
What is the next term in 2063, 4126, 6189, 8252, 10315, 12378?
14441
What comes next: 28, 37, 68, 133, 244, 413, 652, 973?
1388
What comes next: 320, 316, 302, 272, 220, 140?
26
What is next in -161, -360, -569, -794, -1041, -1316, -1625?
-1974
What is the next term in -6, -64, -154, -270, -406, -556, -714?
-874
What is next in 687, 1376, 2065, 2754, 3443?
4132
What is the next term in 137, 281, 427, 575, 725, 877?
1031
What is next in 21, 60, 145, 294, 525, 856, 1305, 1890?
2629
What is next in -345, -347, -349, -351?
-353
What is next in -227, -223, -209, -179, -127, -47?
67
What comes next: -53966, -53967, -53968, -53969, -53970, -53971?
-53972
What comes next: -1279, -1278, -1277?
-1276
What is next in -97, -170, -243, -316, -389?
-462
What is the next term in -2156, -2154, -2152, -2150, -2148?
-2146
What is the next term in -177, -173, -171, -171, -173, -177, -183?
-191
What comes next: -134, -232, -320, -392, -442, -464, -452, -400?
-302
What is next in -83, -435, -1031, -1877, -2979, -4343, -5975?
-7881
What is the next term in 57587, 57584, 57579, 57572, 57563, 57552?
57539
What is next in 50, 233, 548, 995?
1574
What comes next: 26, 121, 284, 515?
814
What is next in 28, 21, 10, -5, -24?
-47
What is the next term in 195, 179, 153, 111, 47, -45, -171, -337?
-549
What is next in 69, 131, 193, 255, 317, 379?
441
What is next in 51, 113, 185, 273, 383, 521?
693
What is next in -8, -3, 12, 43, 96, 177?
292
What is next in -512, -1025, -1538, -2051?
-2564
What comes next: 0, 24, 94, 234, 468, 820, 1314?
1974
What is the next term in 96, 389, 872, 1539, 2384?
3401
What is the next term in -1192, -2376, -3560, -4744?
-5928
What is next in 416, 417, 418, 419, 420?
421
What is the next term in -4, 27, 96, 203, 348, 531?
752
What comes next: 161, 320, 481, 644?
809
What is next in 89, 361, 815, 1451?
2269
What comes next: 36, 52, 74, 102?
136
What is the next term in -36, -63, -104, -165, -252, -371?
-528
What comes next: -260, -1020, -2286, -4058, -6336?
-9120
What comes next: -1224, -2455, -3690, -4929?
-6172
What comes next: 904, 1820, 2736, 3652, 4568, 5484?
6400
What is next in 7427, 7428, 7429, 7430, 7431?
7432
What comes next: -31, -46, -73, -118, -187?
-286
What is the next term in 233, 236, 239, 242, 245, 248?
251
What is next in 1, -13, -27, -41, -55?
-69
What is next in 46, 137, 270, 445, 662, 921, 1222?
1565
What is the next term in 46, 143, 302, 523, 806, 1151?
1558
What comes next | {
"pile_set_name": "DM Mathematics"
} |
-150
Let a(u) = -u**3 - 4*u**2 - 79353*u + 79358. What is a(1)?
0
Let z(w) = -623*w**2 - 14*w + 39. Calculate z(2).
-2481
Let y(p) = -3*p**3 + p**2 + 29*p + 179. Calculate y(-5).
434
Let n(w) = -w**3 - 20*w**2 - 43*w + 60. Calculate n(-12).
-576
Let t(h) = -5*h**2 - 3376*h - 182324. Determine t(-616).
12
Let w(k) = 4*k**3 + 52*k**2 + 18*k + 314. Determine w(-13).
80
Let x(m) = m**3 + 54*m**2 - 6*m + 457. Determine x(-54).
781
Let w(u) = -3*u**2 - 794*u - 6218. Calculate w(-8).
-58
Let f(j) = -19937*j + 119658. Determine f(6).
36
Let y(w) = w**3 + 520*w**2 + 20523*w + 528. Calculate y(-43).
12
Let x(r) = 17984*r - 1456697. What is x(81)?
7
Let y(r) = 4*r**2 - 1761*r - 27327. What is y(-15)?
-12
Let s(w) = -1872*w - 12849. Calculate s(-7).
255
Let f(j) = -426*j**2 + 304577*j + 9293. Calculate f(715).
-2
Let d(r) = 2*r**3 - 156*r**2 - 272*r + 32819. What is d(77)?
17
Let n(u) = -1181*u - 282256. What is n(-239)?
3
Let i(r) = 356*r**2 + 3052*r - 1374. Calculate i(-9).
-6
Let o(m) = m**3 + 153*m**2 + 1173*m + 1894. Calculate o(-145).
9
Let b(n) = -n**3 - 76*n**2 + 3723*n - 1952. Determine b(-110).
-82
Let y(v) = -277*v - 27896. What is y(-100)?
-196
Let v(a) = 39*a**2 + 175*a - 302. What is v(-7)?
384
Let l(g) = 2*g**3 - 11*g**2 - 502*g + 4591. Give l(9).
640
Let q(f) = 23373*f - 1799699. Calculate q(77).
22
Let b(m) = -77*m**2 + 263*m + 9. Give b(4).
-171
Let g(u) = u**3 + 226*u**2 + 3745*u + 26. Calculate g(-18).
8
Let k(o) = -o**3 - 31*o**2 + 482*o + 986. Give k(-42).
146
Let r(u) = 2*u**3 - 40*u**2 + 22673*u - 430063. Determine r(19).
2
Let k(l) = 205282*l + 205379. Give k(-1).
97
Let x(n) = -261*n**3 - 18*n**2 - 48*n - 24. Calculate x(-1).
267
Let n(p) = 1561*p + 9058. What is n(-6)?
-308
Let w(q) = 204*q**3 - 32641*q**2 + 163*q - 458. Determine w(160).
22
Let g(i) = -6073*i + 23368. Calculate g(4).
-924
Let q(a) = 1751*a + 47889. Determine q(-27).
612
Let q(d) = 6*d**2 + 11492*d - 150461. What is q(13)?
-51
Let w(i) = 2*i**3 - 70*i**2 - 694*i + 18. Determine w(43).
-240
Let f(z) = 27379*z - 465435. What is f(17)?
8
Let s(g) = 8511*g - 229964. Give s(27).
-167
Let i(p) = -17*p - 6747. Calculate i(-372).
-423
Let t(v) = -v**2 + 2275*v - 573939. Determine t(289).
15
Let l(w) = -97*w - 3085. Determine l(-25).
-660
Let w(h) = 2*h**3 - 42*h**2 + 303*h - 118. What is w(16)?
2170
Let j(l) = l**2 + 181*l + 3678. Determine j(-23).
44
Let l(o) = 3*o**3 + 52*o**2 + 2500*o + 7104. Determine l(-3).
-9
Let r(z) = 1426*z**2 - 32779*z - 144. Give r(23).
293
Let r(s) = -s**2 + 10427*s - 301548. Calculate r(29).
-6
Let x(g) = -2*g**2 - 802*g - 21069. Give x(-27).
-873
Let t(n) = 382*n + 45986. Calculate t(-116).
1674
Let x(f) = -f**3 - 144*f**2 - 264*f + 3301. What is x(-142)?
461
Let t(n) = -2*n**2 + 9007*n - 1052048. Calculate t(120).
-8
Let k(j) = -j**3 - 6*j**2 + 2577*j + 15456. Give k(-6).
-6
Let r(h) = 87*h**2 - 2360*h + 141. Determine r(27).
-156
Let i(l) = 336181*l - 2017080. Give i(6).
6
Let j(t) = 7*t**3 - 9*t**2 + 77*t + 185. What is j(-2)?
-61
Let i(l) = 54*l**2 - 600*l - 253. What is i(11)?
-319
Let k(c) = -6*c**2 - 1089*c + 13648. Give k(-193).
331
Let h(u) = u**2 - 21398*u + 15187299. Determine h(735).
-6
Let p(f) = 5*f**2 + 101*f - 2183. Calculate p(13).
-25
Let l(n) = 10*n**3 - 439*n**2 - 45*n + 75. What is l(44)?
31
Let v(q) = -61*q**3 + 345*q**2 + 692*q - 5. Give v(-2).
479
Let i(r) = r**3 + 16*r**2 + 755*r + 10167. Calculate i(-14).
-11
Let y(v) = -4*v**3 + 29*v**2 + 112*v + 110. Determine y(-2).
34
Let y(j) = -j**3 - 94*j**2 - 208*j - 1148. Determine y(-92).
1060
Let v(q) = -1805*q + 19909. Give v(11).
54
Let i(s) = -s**2 - 8329*s - 8344. What is i(-1)?
-16
Let u(o) = -o**2 + 1850*o - 7374. Give u(4).
10
Let g(u) = 169*u**2 - 1014*u - 3. Determine g(6).
-3
Let l(p) = 2*p**2 + 264*p - 22552. Determine l(-191).
-14
Let r(x) = 5963*x - 77537. Calculate r(13).
-18
Let x(l) = l**3 - 245*l**2 - 252*l + 1470. Calculate x(246).
-6
Let d(n) = n**3 + 101*n**2 - 12*n - 427. What is d(-101)?
785
Let g(w) = 29*w**2 + 285*w + 29. Give g(-11).
403
Let r(g) = -g**2 + 157*g - 2231. Calculate r(145).
-491
Let z(l) = -l**3 + 151*l**2 + 1009*l + 15597. Give z(158).
271
Let n(d) = -d**3 - 172*d**2 - 828*d + 873. Calculate n(-167).
-296
Let f(g) = -110*g**3 + 30*g**2 + 17*g + 19. Give f(-1).
142
Let x(k) = 4*k**3 - 517*k**2 - 395*k + 654. Give x(130).
4
Let b(w) = 753*w + 101. Calculate b(2).
1607
Let r(q) = -201*q**2 - 1518*q + 725. Determine r(-8).
5
Let a(u) = -2*u**2 + 17*u + 11361. Calculate a(-71).
72
Let h(k) = -k**2 - 514*k + 26025. Determine h(45).
870
Let r(x) = -8*x**2 - 410*x - 3286. What is r(-10)?
14
Let t(n) = -25*n**2 - 820*n - 1401. What is t(-31)?
-6
Let d(z) = 2*z**2 - 436*z - 2175. Calculate d(-5).
55
Let d(v) = v**3 + 77*v**2 + 206*v - 160. What is d(-74)?
1024
Let z(v) = 41*v**2 + 647*v + 2494. What is z(-9)?
-8
Let a(z) = -108622*z - 6734567. What is a(-62)?
-3
Let t(k) = -173*k + 7500. Calculate t(41).
407
Let t(o) = 348*o**2 - 91*o - 18. What is t(1)?
239
Let n(f) = 25*f - 1772. Determine n(71).
3
Let k(s) = -15642*s + 563177. Calculate k(36).
65
Let d(w) = 47*w**2 + 644*w + 8. Determine d(-13).
-421
Let h(z) = -z**3 + 5*z**2 - 1578*z + 10949. Give h(7).
-195
Let g(v) = v**2 - 670*v - 68066. Calculate g(-90).
334
Let c(v) = 10*v**2 - 1407*v + 15067. Calculate c(129).
-26
Let y(w) = -w**3 + 121*w**2 - 423*w - 781. What is y(5)?
4
Let d(u) = -u**2 - 3324*u - 102087. Determine d(-31).
-4
Let w(b) = -13*b**2 - 499*b + 224. Determine w(-39).
-88
Let f(c) = 81*c**2 - 1330*c + 41. Determine f(17).
840
Let f(q) = 171*q + 4635. Give f(-27).
18
Let u(j) = 16*j**3 + 63*j**2 + 22*j + 151. Give u(-7).
-2404
Let p(f) = -131613*f - 258. Determine p(0).
-258
Let d(u) = -19*u**2 + 1156*u - 14585. Determine d(43).
-8
Let v(b) = 2*b**3 - 132*b**2 - 2437*b - 100. Give v(-15).
5
Let x(r) = -11*r**2 + 514*r + 11031. Calculate x(-16).
-9
Let m(z) = z**3 + 14*z**2 + 1103*z - 4713. Give m(4).
-13
Let o(v) = 4*v**3 - 614*v**2 + 5479*v - 992. Give o(144).
16
Let u(f) = -436*f - 5198. Calculate u(-11).
-402
Let g(q) = -12*q**3 + 60*q**2 - 8*q - 152. Determine g(4).
8
Let c(w) = 2*w**3 + 19*w**2 + 302*w + 2198. What is c(-8)?
-26
Let f(i) = -7*i**2 + 135*i - 510. What is f(13)?
62
Let h(s) = s**3 + 172*s**2 + 2076*s + 1449. Determine h(-159).
18
Let f(j) = -481*j**3 + 9*j**2 + 10*j + 2. What is f(-1)?
482
Let n(l) = 18*l**3 + 451*l**2 + 20*l - 38. Give n(-25).
87
Let b(c) = -c**3 - 108*c**2 + 74*c - 1115. Determine b(-109).
2700
Let t(i) = 118*i**2 - 15731*i + 4963. Calculate t(133).
42
Let d(n) = -9*n**3 + 7*n + 29. What is d(-4)?
577
Let f(p) = -1118*p - 305177. Give f(-273).
37
Let y(k) = -9295*k**2 + 37179*k + 14. Determine y(4).
10
Let h(z) = -4*z**3 - 3*z**2 + 372*z + 47. Calculate h(-11).
916
Let k(c) = -c**3 - 41*c**2 - 228*c - 24. Give k(-12).
-1464
Let n(z) = 605*z**2 + 20*z - 21. Determine n(1).
604
Let c(i) = 3*i**2 - 1021*i + 43101. Give c(291).
33
Let o(q) = -16*q**2 - 1407*q - 2863. Give o(-86).
-197
Let q(r) = -4*r**2 - 160*r + 469. Determine q(-41).
305
Let t(d) = -8226*d + 592278. Give t(72).
6
Let z(f) = f**2 + 2170*f - 675034. Give z(276).
62
Let q(x) = 13*x**2 + 1223*x + 91. Calculate q(-94).
-3
Let b(u) = 1430*u - 3438. Calculate b(0).
-3438
Let j(x) = 4*x**3 + 187*x**2 + 168*x + 1377. What is j(-46)?
-3
Let s(z) = 8922*z + 126026. Determine s(-14).
1118
Let c(n) = 5*n**3 + 56*n**2 + 28*n + 176. What is c(-11)?
-11
Let i(a) = a**3 - 521*a**2 + 2043*a + 165. Give i(4).
65
Let d(f) = -2264*f - 887496. Calculate d(-392).
-8
Let p(j) = 7*j**2 - 25*j - 1. Calculate p(3).
-13
Let k(n) = -n**3 - 48*n**2 + 6662*n - 302. Calculate k(-109).
-1719
Let f(j) = -116*j**2 - 6045*j - 823. What is f(-52)?
-147
Let v(z) = z**2 - 213*z + 895. Give v(207).
-347
Let o(s) = 191429*s - 1914299. Give o(10).
-9
Let d(o) = -2*o**3 - 16*o**2 + 102*o - 354. Calculate d(6).
-750
Let d(u) = -2636*u + 10882. Determine d(4).
338
Let u(c) = -278*c**2 - 57*c - 119. Determine u(-2).
-1117
Let y(o) = -93*o**2 - 1180*o - 24. What is y(-13)?
-401
Let a(r) = 5*r**2 - 60312*r - 1450332. Calculate a(-24).
36
Let s(n) = -385*n - 22305. What is s(-59)?
410
Let t(d) = -d**3 + d**2 + 156*d + 400. Give t(-10).
-60
Let z(g) = 51*g - 863. What is z(9)?
-404
Let j(r) = -r**3 - 70*r**2 + | {
"pile_set_name": "DM Mathematics"
} |
prime?
False
Is 39149 a composite number?
True
Is 222247 a composite number?
False
Is 30059 a prime number?
True
Is 34603 a composite number?
False
Is 20249 prime?
True
Is 4633 composite?
True
Is 2595746 a prime number?
False
Is 285997 a prime number?
True
Is 4073 a prime number?
True
Is 45233 a composite number?
False
Is 474197 composite?
False
Is 163561 prime?
True
Is 41623 prime?
False
Is 38149 composite?
False
Is 48149 a prime number?
False
Is 2789 a prime number?
True
Is 731761 a prime number?
True
Is 7601 a composite number?
True
Is 217717 composite?
False
Is 21001 prime?
True
Is 2613407 a composite number?
True
Is 3043 a composite number?
True
Is 3940701 prime?
False
Is 1686979 prime?
False
Is 32605 a prime number?
False
Is 237203 a composite number?
False
Is 67003 a composite number?
False
Is 507723 a prime number?
False
Is 88017 composite?
True
Is 73267 a prime number?
False
Is 57389 a composite number?
False
Is 130927 a composite number?
False
Is 5507 a prime number?
True
Is 1531 prime?
True
Is 13921 prime?
True
Is 227893 a prime number?
True
Is 685 prime?
False
Is 10345 prime?
False
Is 12605 composite?
True
Is 161453 prime?
True
Is 328709 prime?
True
Is 2477107 composite?
False
Is 1042 composite?
True
Is 1361 prime?
True
Is 44899 a composite number?
True
Is 5381 prime?
True
Is 28151 composite?
False
Is 32273 a composite number?
True
Is 266791 a prime number?
False
Is 142097 a composite number?
False
Is 5179 a prime number?
True
Is 9041 a composite number?
False
Is 2573689 a prime number?
True
Is 2573 a composite number?
True
Is 182167 prime?
True
Is 68351 composite?
False
Is 6434083 composite?
False
Is 170597 prime?
False
Is 40979 composite?
True
Is 499769 prime?
False
Is 6751 a composite number?
True
Is 27733 composite?
False
Is 3204299 prime?
False
Is 246403 composite?
False
Is 7039 prime?
True
Is 243617 composite?
True
Is 12661 a prime number?
False
Is 4229 a composite number?
False
Is 5223 prime?
False
Is 7593 prime?
False
Is 1297591 a prime number?
False
Is 1466243 composite?
False
Is 228061 a prime number?
True
Is 11532661 composite?
True
Is 457117 a composite number?
False
Is 10299 composite?
True
Is 218107 a composite number?
False
Is 1781 a prime number?
False
Is 9143 a composite number?
True
Is 64433 a composite number?
False
Is 80813 prime?
False
Is 2453273 composite?
False
Is 20671 composite?
True
Is 1409 composite?
False
Is 24646 a composite number?
True
Is 1175617 a prime number?
True
Is 14221 a prime number?
True
Is 5483 a composite number?
False
Is 500419 prime?
False
Is 58657 prime?
True
Is 8483 composite?
True
Is 10077 a prime number?
False
Is 92593 composite?
False
Is 38039 a composite number?
False
Is 165511 a composite number?
False
Is 443603 a composite number?
False
Is 302399 a composite number?
False
Is 2899 a composite number?
True
Is 6163 composite?
False
Is 47051 a prime number?
True
Is 14369 prime?
True
Is 196577 composite?
True
Is 887 a composite number?
False
Is 21661 prime?
True
Is 3551 prime?
False
Is 3817 composite?
True
Is 30311 a composite number?
True
Is 743 composite?
False
Is 679 a composite number?
True
Is 3989 composite?
False
Is 3217 a composite number?
False
Is 15829 a composite number?
True
Is 535079 prime?
False
Is 76871 composite?
False
Is 225023 composite?
False
Is 176758 composite?
True
Is 169019 prime?
True
Is 92266 a composite number?
True
Is 98749 composite?
True
Is 277 a composite number?
False
Is 6997 composite?
False
Is 10973 composite?
False
Is 5431 prime?
True
Is 19301 composite?
False
Is 5899 prime?
False
Is 1002297 a composite number?
True
Is 23513 a composite number?
True
Is 124421 a composite number?
True
Is 57973 a prime number?
True
Is 727147 composite?
True
Is 991 a composite number?
False
Is 410453 prime?
True
Is 22613 prime?
True
Is 8369 a composite number?
False
Is 501 prime?
False
Is 36401 a prime number?
False
Is 50207 prime?
True
Is 65579 prime?
True
Is 625971 prime?
False
Is 8098 prime?
False
Is 530833 a composite number?
False
Is 9841 prime?
False
Is 584767 a prime number?
True
Is 66271 composite?
False
Is 4839137 prime?
True
Is 30757 a prime number?
True
Is 290233 composite?
False
Is 6761 composite?
False
Is 23267 a composite number?
True
Is 7067 composite?
True
Is 407 composite?
True
Is 170137 prime?
False
Is 93715 a prime number?
False
Is 194963 prime?
True
Is 37483 a prime number?
True
Is 1969 prime?
False
Is 2554 a composite number?
True
Is 252341 a composite number?
False
Is 31669 prime?
False
Is 13093 composite?
False
Is 4633 prime?
False
Is 540343 composite?
False
Is 1259 prime?
True
Is 574297 prime?
True
Is 11717 prime?
True
Is 3817 composite?
True
Is 3049 prime?
True
Is 69313 a prime number?
True
Is 55565 prime?
False
Is 2941781 composite?
False
Is 1471 a prime number?
True
Is 30817 a prime number?
True
Is 1193 composite?
False
Is 5953 composite?
False
Is 769 a composite number?
False
Is 34297 prime?
True
Is 6835 prime?
False
Is 63737 prime?
True
Is 303911 a prime number?
False
Is 23143 a prime number?
True
Is 346879 a composite number?
True
Is 907 prime?
True
Is 115931 prime?
True
Is 42049 prime?
False
Is 1518293 a prime number?
False
Is 50261 a composite number?
False
Is 2342479 a prime number?
True
Is 104257 composite?
True
Is 164017 a prime number?
False
Is 7217 a prime number?
False
Is 66467 a prime number?
True
Is 181037 prime?
False
Is 42041 composite?
True
Is 24281 a composite number?
False
Is 107519 prime?
False
Is 254 composite?
True
Is 246143 prime?
False
Is 7647 composite?
True
Is 58303 a composite number?
True
Is 1163111 a composite number?
False
Is 253 prime?
False
Is 10559 composite?
False
Is 1159271 a composite number?
False
Is 145303 composite?
False
Is 7057 a composite number?
False
Is 20317 prime?
False
Is 287659 a composite number?
True
Is 9745 a prime number?
False
Is 57769 a composite number?
True
Is 4373 a composite number?
False
Is 7067 a composite number?
True
Is 231614 a composite number?
True
Is 73901 a composite number?
True
Is 76403 prime?
True
Is 2186218 prime?
False
Is 286217 prime?
False
Is 101459 a composite number?
True
Is 215299 composite?
True
Is 32083 composite?
False
Is 2933 a prime number?
False
Is 763769 prime?
False
Is 54449 composite?
False
Is 75821 composite?
False
Is 14489 composite?
False
Is 896599 a prime number?
False
Is 94709 a composite number?
False
Is 257753 a composite number?
True
Is 658663 a prime number?
True
Is 48299 a composite number?
False
Is 2333 a prime number?
True
Is 10813 prime?
False
Is 1036211 composite?
True
Is 106531 a composite number?
False
Is 151091 prime?
True
Is 730511 a prime number?
False
Is 13567 a composite number?
False
Is 56063 composite?
True
Is 33805 a composite number?
True
Is 17533 a prime number?
False
Is 316991 composite?
False
Is 586037 composite?
False
Is 188107 a prime number?
True
Is 8467 a composite number?
False
Is 525979 a prime number?
True
Is 307 prime?
True
Is 32887 a composite number?
False
Is 33298 prime?
False
Is 1385653 composite?
True
Is 2442515 a prime number?
False
Is 942771 composite?
True
Is 6599 a composite number?
False
Is 16799 prime?
False
Is 14954 a composite number?
True
Is 71593 a composite number?
False
Is 559157 composite?
False
Is 1040537 a composite number?
True
Is 7781 a prime number?
False
Is 552179 prime?
True
Is 46219 prime?
True
Is 222259 composite?
True
Is 991 composite?
False
Is 129169 composite?
False
Is 575907 a prime number?
False
Is 476167 a composite number?
False
Is 149827 a composite number?
False
Is 1149641 prime?
True
Is 14621 prime?
True
Is 1043123 a composite number?
True
Is 210791 a composite number?
True
Is 94499 a composite number?
True
Is 3503 composite?
True
Is 22153 a composite number?
False
Is 482981 a composite number?
True
Is 46119 composite?
True
Is 143971 composite?
False
Is 950071 prime?
True
Is 88211 a composite number?
False
Is 422983 a prime number?
False
Is 3989 a composite number?
False
Is 342647 a composite number?
False
Is 10441 composite?
True
Is 5579 prime?
False
Is 397 composite?
False
Is 216211 a composite number?
False
Is 196133 composite?
True
Is 21859 a prime number?
True
Is 1141 a prime number?
False
Is 246953 prime?
False
Is 37409 a prime number?
True
Is 547559 prime?
True
Is 129 a composit | {
"pile_set_name": "DM Mathematics"
} |
olve 5*g + 2*r + 3123 = 3131, 0 = -4*g + 5*r - 20 for g.
0
Solve -5*m + 20*o - 19 = 18*o, 0 = 4*m + o + 23 for m.
-5
Solve -b + 1 = 2, 4*b - 4 - 2 = 2*s for s.
-5
Solve -b + 70 = 5*l, 1579*b = 1576*b + 3*l - 60 for b.
-5
Solve -3*m + 15 = 2*m, 3*m + 0 + 3 = -3*n + 2*m for n.
-2
Solve 2*g = -x + 20, -4*g + 40 = 5*x + 6 for x.
-2
Solve -g - 5*p + 4066 = 4059, 5 = 2*g + p for g.
2
Solve 0*k + 7*t + 44 = k, -2*k = -4*t - 28 for k.
2
Solve -c - 4*g = 40, 14749 = -3*c + 2*g + 14783 for c.
4
Solve -z + 146 = -3*k + 137, -5*z + k = -3 for z.
0
Solve -b + 11 = -5*q, 4*q + 124*b - 127*b = -22 for q.
-1
Solve -3*z = 124*l - 127*l + 21, 3*l - 2*z = 24 for l.
10
Solve 8*t + 11*p - 12*p - 9 = 0, 2*t - 5*p - 45 = 0 for t.
0
Solve 10*b + 2*i + 4 = 5*b, 2*b + 16 = 4*i for b.
-2
Solve 3211*a - 8 = 4*i + 3215*a, -3*i - 12 = 4*a for i.
4
Solve -14 = -25*f + 20*f - v, 47 = 5*f - 2*v for f.
5
Solve 0 = -3*z - 3*v - 24, 21*v - 25*v = -5*z - 31 for z.
-7
Solve 5*h + 21*m - 24*m + 31 = 0, 21 = -5*h - 2*m for h.
-5
Solve 2*k + a = 10, 12520*a - 12519*a - 14 = -4*k for k.
2
Solve 0 = 2*h + 2*r - 14, 981780*h - 981775*h = -4*r + 31 for h.
3
Solve -3*c = -5*b + 29, -70*c = -75*c - 15 for b.
4
Solve -3*h = -2*r - 17 + 10, 2*r = -3*h - 13 for h.
-1
Solve 3*t - 9502 + 9480 = -2*z, -31 = -4*t - 3*z for t.
4
Solve -345*r + 19 = -350*r - 4*f, -2*r - 6 = 2*f for r.
-7
Solve -1298*z + 1302*z = 4*s + 8, 8 = 2*s + 2*z for s.
1
Solve -180*k - t + 6 = -178*k, -2*t = 3*k - 8 for k.
4
Solve -5*j = 3*s - 35, -28*s = -20*s - 5*j - 20 for s.
5
Solve -3*k - 14 = 28418*l - 28417*l, -2*k + 3*l = -9 for k.
-3
Solve 5*s - 3*u = 289 - 229, 0 = -4*s + 3*u + 48 for s.
12
Solve 85*i = 2*u + 83*i - 4, -3*u + 12 = -i for u.
5
Solve -5*v + 3*n = 2373 - 2379, -5*n = 4*v + 10 for v.
0
Solve 2*n - 9614 = -3*t - 9611, -3 = 4*t + 5*n for t.
3
Solve 2*c + 8 = 2*j, 10 = -c - 180*j + 183*j for c.
-1
Solve 0 = 5*f - i - 10, 2*i = 117*f - 118*f + 13 for f.
3
Solve 349704*z = -2*u + 349700*z - 20, 2*u = -7*z - 32 for u.
-2
Solve -z = 2*r - 5 - 2, 2*z - 9 = r for z.
5
Solve a = 5*x - 18, 56*x + 24 = 61*x - 3*a for x.
3
Solve 0 = -3*r + 24*l - 25*l - 1, -3 = r + l for r.
1
Solve a - 18*f = -17*f + 1, -2*a = 3*f - 17 for a.
4
Solve -62 = 16*m + 3*y, 15 = 3*m - 5*y - 29 for m.
-2
Solve 3*a - 5 = -4*z, -5386*z - 55 = 8*a - 5389*z for a.
-5
Solve 0 = 8*a - 2*w - 17 - 19, 345*a + 2 = 347*a - 4*w for a.
5
Solve -13*g - 47 = -2*q, -38*q + 42*q - 4 = -4*g for g.
-3
Solve -30 = -2*q - 8*k, 0*k - 2*k - 9 = -5*q for q.
3
Solve -4*x + 29 = b, 6261*b - 6258*b + 41 = 4*x for x.
8
Solve 0 = 4*h + 17*p - 21*p + 44, h = -3*p + 1 for h.
-8
Solve 4*b - 2*u = 44, 5*b + 4*u + 59 - 101 = 0 for b.
10
Solve 2*a - 3*b + 10 = -5*b, -a + 5*b = -1 for a.
-4
Solve -636*m + 635*m + 4*y + 7 = 0, -5*m = 2*y - 13 for m.
3
Solve -5*k - 16 = 4*x, -243*x = -239*x - k + 16 for x.
-4
Solve 3*y + p = -55 + 62, 4*p + 11 = y for y.
3
Solve -4*x - 5842 = 3*t - 5848, 3*x - 3 = -2*t for x.
-3
Solve 5*m - m = 63*y + 6*m + 250, 2*y - 4*m = -12 for y.
-4
Solve 4*g - 22 = 2*y, -33*y + 37*y - 4*g + 24 = 0 for y.
-1
Solve -p - 93*s + 27 = -98*s, s + 32 = 4*p for p.
7
Solve 5*v - 2*w + 16 = 22, 6*v - v - 108 = 36*w for v.
0
Solve -4 = -4*c, -15*i - 2*c + 0*c - 48 = -5*i for i.
-5
Solve -1 = -4*y + u, -3 = -348*y + 344*y + 3*u for y.
0
Solve c + 50*w - 114 = 9*w, -2*c + 2*w = 24 for c.
-9
Solve 191*u - 188*u + 68 = 4*k, 3*u + 4*k = -28 for u.
-16
Solve -6 = -o - 2*l, 0 = 18876*l - 18878*l + 8 for o.
-2
Solve 4*y - 4*q + 8 = 0, 40*q = 2*y + 44*q + 10 for y.
-3
Solve t - 5*u = 20, 2*t - 2*u = 134 - 126 for t.
0
Solve 0 = -2*o + 2*v - 4, -257*o + v - 12 = -261*o for o.
2
Solve -4*t - 21 = 5*x, 28 = 4*x - 4*t + 16 for x.
-1
Solve -218*a = -4*f - 222*a + 8, 3*f + a - 10 = 0 for f.
4
Solve 4*q = 6*q - 3*i + 10, i = -q + 5 for q.
1
Solve 3*a + 2 = 4*u - a + 6, -11*a = -10*a for u.
-1
Solve 41*p - 37*p = 5*h - 24, p + 33 = 8*h for h.
4
Solve -22 = -267*a + 270*a + f, -4*f - 4 = 0 for a.
-7
Solve 16 = 2*l - h + 14, -5*l + h = 7 for l.
-3
Solve 0 = n - 5*q + 9, -5*n + 165*q - 19 = 166*q for n.
-4
Solve 2*m = -15*t + 34, 1233*t - 1237*t - 4*m + 16 = 0 for t.
2
Solve 3*r - 2*q = -3, 5*r + 5*q + 10 - 5 = 0 for r.
-1
Solve 362*s - 4 = 358*s - 2*h, -4*h = -5*s - 8 for s.
0
Solve 0 = 3057*h - 3061*h - 5*s, -5*h - 3*s = 13 for h.
-5
Solve 5*s + 55 = -5*h, 0 = 2*h + 38*s - 31*s + 72 for h.
-1
Solve -r + 4*h = -22, 4*h = -2206*r + 2203*r - 14 for r.
2
Solve -3*d - 7 - 9 = -5*r, 0 = -3*d - 6 for r.
2
Solve 2*q - 5*d - 91 = 0, -5*q + 2181*d - 2184*d = 36 for q.
3
Solve 5*u = -6*z - 34, 2*u + 463*z - 4 = 465*z for u.
-2
Solve -2*k = -13*h + 55, -k + 263*h + 7 = 268*h for k.
-8
Solve -50 = -8*m - 3*r, 124*r = 4*m + 120*r + 8 for m.
4
Solve 3*h = 5*f + 27, 2*h = -4*f - 1305 + 1301 for h.
4
Solve -5*c - 3*b + 8 = 0, 5*b + 356 = 3*c + 392 for c.
-2
Solve w = t - 2, -2260*t = -2258*t - 3*w + 1 for t.
7
Solve 23*c - 5 = 25*c - 3*z, 3*c - 2*z - 5 = 0 for c.
5
Solve 67 = 2*o - 2*v + 61, 2*o = -v for o.
1
Solve 1190*y - b = 1185*y - 3, b + 17 = -5*y for y.
-2
Solve -36 + 134 = -49*n, -3*w - 5*n - 10 = -2*w for w.
0
Solve 0 = -5*i - 4*d - 1, 1636*i - 1641*i + 2*d = -23 for i.
3
Solve -4*p - 255*f + 10 = -252*f, -4*p = -3*f + 26 for p.
-2
Solve 4*q + 28 = -73*b + 72*b, -8*b - 7 = q for b.
0
Solve 0 = 10138*f - 10134*f + 4*n + 23 + 5, -5*f - 6*n - 35 = 0 for f.
-7
Solve -3*d - 2*a = -14, 3*d + 10 = 13443*a - 13439*a for d.
2
Solve 19*x + 4 = 17*x - y, -x = -y + 2 for x.
-2
Solve 0 = -5*d + 2035*z - 2030*z - 25, 0 = -3*d - z - 11 for d.
-4
Solve 290 - 295 = 3*q - 2*o, -5*q + 5*o = 15 for q.
1
Solve 4*v = -4*k - 8, 5*k = -v - 1 - 21 for k.
-5
Solve -3*n - 16*t = -80, -222*t + 219*t = -4*n - 15 for n.
0
Solve -4*c - 65 = 5*f, 0 = f + 4475*c - 4471*c + 13 for f.
-13
Solve -4*s = -5*s + 3*u, 3*s + 1 = 3*u + 22*u - 15 for s.
3
Solve 0 = 3*b - 3, -40*b = -5*t - 35*b + 5 for t.
2
Solve -125*x + 128*x = 3*p + 6, -5*p = 3*x + 26 for p.
-4
Solve -17*w + 2 = -15*w - 2*q, 2*q = -4 for w.
-1
Solve f + 63 = 2*h + 62, 2*f - h - 1 = 0 for f.
1
Solve -5*h + 4*u - 18*u - 1 = -18, -3*u = -9 for h.
-5
Solve c + 4 = 2*t, 15 + 5 = 2*t - 9*c for t.
1
Solve 464 = -4*z + 124*i, 9412*i = -3*z + 9407*i + 44 for z.
8
Solve 2*d = 5*z + 33, -64*z = -65*z - 7 for d.
-1
Solve -2*i = -3*j - 4, -15*i + 10*i + 48 = 2*j for i.
8
Solve 3*l + 2*q + 22 = 0, 111*q - 106*q + 19 = -3*l for l.
-8
Solve -q - 26 = -4*r, -14*q + 4*r = -10*q + 32 for q.
-2
Solve 13 = n + l, -3155*l + 3154*l = -8 for n.
5
Solve -4*p = 28*g - 88, -108 = -4*p + 3*g - 144 for p.
-6
Solve -3*g - 41 + 10 = 5*d, g - 7*d = 33 for g.
-2
Solve 5*b + 55 = 0, 5*b + 43 = -6*m - 3 + 3 for m.
2
Solve -2459*v + 2462*v - 3*p = -6, 0 = -4*v - 3*p + 13 for v.
1
Solve 5 = 32*p - 33*p, -4*u - 5*p - 9 = 0 for u.
4
Solve -2*k + 147*j - 151*j = 38, 4*k - 3*j = 23 for k.
-1
Solve -3*n + 6*j - 533 = -545, 0 = 5*n - 5*j + 5 for n.
-6
Solve 5*l + 218*g + 27 = 217*g, -2*g + 21 = -5*l for l.
-5
Solve -5*y + 313 = -21*g + 5*g, g - 2*y + 28 = 0 for g.
-18
Solve 3*z - 21 = -3*d, -3*z = -5*d - 687 + 714 for z.
1
Solve 11*b - 124 = 3*z + 4*b, -2*z + 82 = 4*b for z.
3
Solve -v + 5556 - 5508 = -5*y, 0 = 3*v - 2*y - 27 for v.
3
Solve 3*w = -69 + 72, 5*k - w = 14 for k.
3
Solve 2*l = -3*h - 7, 2*l - 30 = 13*h + 43 for h.
-5
Solve 3*o - 8*d - 7 = -9*d, -2*o + 4*d - 14 = 0 for o.
1
Solve 150*g = u + 153*g - 6, -8*g + 44 = -2*u for u.
-6
Solve 36090*g - 36084*g = -3*l + 12, -5*g - 23 = -3*l for l.
6
Solve 5*x - 4*r - 22 = 0, 5*x - 114*r - 13 = -113*r for x.
2
Solve 5*x + 3*r + 28 = 0, -r - 116 = -x - 120 for x.
-5
Solve 0 = -20*m + 4*o, -139935 = m + 4*o - 139914 for m.
-1
Solve -34*r + 37*r - 3*t = -12, 0 = 2*r + 3*t - 2 for r.
-2
Solve 3*s - 36 = 5*b, 20*b = -2*s - 225 + 109 for b.
-6
Solve -x + 19 = -336*w + 341*w, 2*x = 3*w - 14 for x.
-1
Solve s + c + 5 = 7, 0 = -c - 3 for s.
5
Solve 3*h + 4*q - 81 = -89, 2*h + 4*q = -4 for h.
-4
Solve 2*n + 12 = 5573*u - 5577*u, 2*n - 5*u + 12 = 0 for n.
-6
Solve 3*w - 1 = -7, -258*n - 5*w = -255*n + 19 for n.
-3
Solve 4*f + 3*p - 20 = 0, -f + 171*p + 14 = 174*p for f.
2
Solve 2*i + 3*s + 73 = 71, 3*s = 3*i - 27 for i.
5
Solve -1091*u + 1094*u + 8 = -5*j, -3*u = 3*j + 6 for u.
-1
Solve -f + 35 = 5*m, 8*m + 14*m - 17*m - 35 = 2*f for f.
0
Solve 4*u = -4, -4*u | {
"pile_set_name": "DM Mathematics"
} |
-y = 3*n + n. Let v be 4/(-99) + (-4)/22. Which is smaller: v or n?
n
Let a = -39.9 - -40. Is a at least 1?
False
Let z = 0.609 + -0.009. Let b(l) = l + 5. Let j be b(-4). Which is smaller: j or z?
z
Suppose 0 = 3*p + 2*s - 4, 4 = 2*p + 2*s - 0. Suppose -5*n + 3*n + 12 = 0. Suppose p*l = -2*l + n. Which is bigger: l or 3/2?
l
Let a = -19 + 15. Is a smaller than -3?
True
Let q = -11.16 - -11. Let y = -3 - -2.96. Let t = y + q. Are t and -1/3 nonequal?
True
Suppose 2*f + f = -3. Let l = -164/759 + 10/33. Is f at least l?
False
Let g be (-4)/6*(-3)/2. Let x = 40 + -24. Let w = x + -49/3. Is g bigger than w?
True
Let f(o) = -o**3 - 7*o**2 + 9*o + 6. Suppose -5*x - 43 = k, -3*x = -2*x + k + 11. Let q be f(x). Do q and 0.2 have the same value?
False
Let d = -26 - -26. Which is smaller: -29 or d?
-29
Suppose 2*a - 1 - 1 = 0. Is a > 8/11?
True
Suppose -3*l + 4*p = -5, -4*l - 2*p + 7 = -7*p. Let f(a) = a**3 - 3*a**2. Let s be f(l). Let c be (-3)/(-3)*(0 + s). Is c >= -1/7?
True
Let z be (-4)/2 + (4 - -12). Suppose -2*m = -2*j - z, -3 = j - 3*m + 6. Let x = j - -7. Is 2 > x?
True
Suppose -2*g - 5*m + 2*m + 6 = 0, 16 = 4*m. Suppose 0 = 2*d - 3*u + 12, -2*u - 20 = 4*d - 7*u. Is d at least g?
True
Let l(m) = -m + 10. Let v be l(10). Let j be (-2 - v)*(-4)/(-8). Is -3/7 < j?
False
Let i be (-2)/(-6)*(0 + 0). Are i and 2/11 non-equal?
True
Let k be (-2)/(-7) - 19/(-7). Suppose -2*l + 5 = k. Let b(t) = t**2 - 1. Let r be b(l). Which is bigger: 2/9 or r?
2/9
Let u be ((-9)/(-10)*-1)/(24/(-10)). Suppose 3*f = -0*q + 3*q, 3*q = -2*f. Is f less than u?
True
Suppose -5*r = 5*c - 416 - 224, 4*c + 685 = 5*r. Let g = r + -1993/15. Which is greater: g or -1?
g
Let s = 24 + -18. Let j(x) = x**3 - 8*x**2 + 10*x - 8. Let n be j(s). Which is smaller: n or -21?
-21
Let i = -874/105 - -112/15. Let p = -4 + 2. Is p greater than or equal to i?
False
Let k = 884/105 + -58/7. Which is smaller: 0 or k?
0
Let j = 12 - 17. Which is smaller: -2 or j?
j
Let a be (-14)/(-21) - (-92)/6. Let v = a + -13. Suppose 0 = 7*o - 3*o. Is v greater than o?
True
Let r = 7 + -8. Is r smaller than -5/7?
True
Let d(q) = -q**2 - 5*q + 8. Let p be d(-6). Suppose -12 = -4*t + 4*u, -3*u - p + 1 = t. Which is smaller: t or 3?
t
Suppose -5 = -0*a - 5*a. Do a and 1 have the same value?
True
Let n(k) = 3*k**2 - k + 1. Let j be n(-1). Suppose 0 = -w - 4*w + j. Which is smaller: w or 6/7?
6/7
Let w be 0 - -2 - 1*(10 + -3). Which is greater: w or -4?
-4
Let g be 399/(-204) + (-2)/(-1). Is g != 1?
True
Suppose 0 = 2*k + 4*l - 33 + 7, k + l = 8. Suppose -5*w - 20 = 0, w = -k*b + 5*w - 773. Let t = b + 5525/21. Which is greater: -1 or t?
t
Let u = -1.7 - -1.64. Which is greater: 0.2 or u?
0.2
Let k be 4 - 1 - (1 + 3 + 59). Let f be 2/7 - 1280/21. Let l = k - f. Is l greater than 2?
False
Suppose 0*d = d + 4, 5*d = -2*n - 18. Which is smaller: n or -2/13?
-2/13
Let i be (4/(-70))/((-3)/(-7)). Let h = 153 - 154. Is h >= i?
False
Suppose -1 = -t + 4*p, -t + 6 - 45 = 4*p. Let c be (-4)/(-18) + t/(-36). Which is smaller: c or 0?
0
Suppose -5*n - 20 = 0, 2*s + 0*n + 32 = -2*n. Let k be (6/(-44))/(9/s). Suppose 2*g - 2 = -0*g. Is g less than or equal to k?
False
Let p be -2*(2 + -3) - 9. Which is smaller: p or -6?
p
Suppose 4*m = 5*r - m + 425, 3*r - 2*m = -258. Is r > -89?
True
Let r = -645/7 - -92. Let o be (-16)/10 - (-6)/10. Are r and o unequal?
True
Let q(k) = 2*k + 6. Let a be q(5). Suppose 2*s = 4*s - a. Suppose m + d - 3*d = 8, 2*m - 2*d = s. Which is smaller: 2/13 or m?
m
Let z(u) = -u**2 + 6*u - 7. Let b be z(5). Let l = 8 + b. Let h(y) = -9*y + 50. Let d be h(5). Which is bigger: d or l?
l
Suppose 2*d = -2*d + 4564. Let z = d + -12561/11. Is z at most as big as 0?
True
Let x be 24/36 - 47/12. Is -2 at most x?
False
Let t = 1456/9 + -162. Is t less than 1?
True
Let a = -3736/46075 - -2/1843. Let f(z) = z**3 + 3*z**2 - 4. Let h be f(-2). Which is greater: a or h?
h
Let k(n) = 1 - n**3 + 3 + 2 - 3 + 3*n. Let x be k(3). Let b = -11 - x. Which is bigger: -0.1 or b?
b
Let x be (1 - -2)*(-1)/(-3). Let z be (-18)/3 + 0 + x. Is -4 >= z?
True
Let i be (-2)/(-6) + 175/(-21). Suppose 28 = -j - 4*y, -y = j - 0*y + 13. Is i less than j?
False
Let l = -2 - -11. Let i = -9 + l. Suppose i = s - 5*s. Do 3/10 and s have different values?
True
Suppose -8*t - 236 = -4*t. Let m = 414/7 + t. Which is smaller: -1 or m?
-1
Let g = 0.3 + -0.3. Let j = -0.03 + g. Let n = 0.03 + j. Which is smaller: 2/5 or n?
n
Let s be (-4 - 1)*6/(-15). Let f be 1 + (16/6 - s). Let w be ((-2)/4)/(5/(-10)). Which is bigger: f or w?
f
Let b = -53 + 56. Which is smaller: b or 20/11?
20/11
Let n be 3 - (4 - (3 + -3)/(-3)). Let y = 0.1 - 0.1. Which is smaller: y or n?
n
Let v be -3 - -3*(-200)/(-12). Is v not equal to 46?
True
Let z = 0.2 - 0.2. Let s = -14 + 15. Which is greater: s or z?
s
Let y be (-2)/(-4)*4/9. Let a = 3 - 2.8. Which is smaller: y or a?
a
Let f = 60 - 65. Which is smaller: f or 2?
f
Suppose 3 = -0*u + 3*u. Let b = -1/249 + 1009/3237. Is b greater than u?
False
Let u = 0.75 - 0.05. Let p = 1 - u. Is -0.1 <= p?
True
Suppose -5*u = -60 + 15. Suppose 0 = w + u + 2. Does -11 = w?
True
Suppose d = -0*z - 3*z - 2, 5 = -d. Is 1 at least as big as z?
True
Let m be 0 - 3*(-12)/99. Which is bigger: m or 1?
1
Let i = -23 - -25. Which is smaller: i or 3?
i
Suppose -9 = -5*p + 2*o, -3*o - 2 = 3*p + 1. Let u = 0.97 - -0.33. Let b = 1.5 - u. Do p and b have different values?
True
Let y = -9.9 + 10. Is -1/4 > y?
False
Let d = -226976236 + 2952325504/13. Let b = 125588 - d. Let r = -138 - b. Which is greater: 1 or r?
1
Let d be 55*-1 + 2 - (-1 + -1). Which is bigger: d or -50?
-50
Let n = 12 - 10. Suppose t = -3 - n. Which is smaller: -4 or t?
t
Suppose -11*g + 2*g = -45. Let f = 47/2 + -23. Is f greater than or equal to g?
False
Suppose -5*n + 3*t = -4, 11 + 3 = -5*n - 3*t. Let u(r) = r**3 - 3*r**2 + 3*r - 3. Let z be u(2). Let w be ((-1)/(z - 0))/1. Which is smaller: w or n?
n
Let w(n) = -n**2 - 7*n - 4. Let z be w(-6). Let v be (-4 + z)*2/(-4). Which is greater: v or 2?
2
Let l = -3 - -8. Suppose 5*t + 30 = -l*u, 3*u + 2*t = -u - 16. Is u greater than -2?
False
Suppose -2*i - 8*x = -4*x + 16, 26 = -4*i - 5*x. Is i at most -4?
True
Let b be -1 + 3 - (-126)/(-15). Let z = -219/35 - b. Which is bigger: 1 or z?
1
Let q(o) = o**2 + 2*o. Let f be q(-2). Suppose f = i + 3*i. Are i and -0.1 equal?
False
Let t be ((3 - 3) + 0)/2. Let x = -209/9 - -23. Is x > t?
False
Suppose 2*r = r + 3. Suppose r*g - 7*g + 4 = 0. Let t be (-8)/(-6)*6/28. Which is bigger: t or g?
g
Let b = -5464/13 - -420. Is b bigger than 0?
False
Let f be -13 - -14 - 19/21. Which is smaller: f or -1?
-1
Let k = 134 - 159. Which is bigger: k or -97/4?
-97/4
Let d = 102 - 101. Is -1/66 equal to d?
False
Let x = 0.923 + 0.077. Is 23 not equal to x?
True
Let y(z) = z + 5. Let j be y(-5). Is -5/4 smaller than j?
True
Let i = 1 + -8. Let o = i + 7.2. Let b = o - 0.3. Which is smaller: b or -1/2?
-1/2
Suppose 23 = -4*g - 9. Let x = -9 - g. Is 2/11 != x?
True
Let w = 10 - 27. Let u = 17 + w. Let l = -5 - -3. Are l and u equal?
False
Suppose -7*a + 8*a = -5. Suppose -3*m + 11 = 29. Which is greater: a or m?
a
Let m = 16 + -14. Suppose 0 = -2*v - 3*v + 15. Which is bigger: v or m?
v
Let o(u) = 2*u + 1. Let n be o(4). Which is bigger: n or 6?
n
Let d = -108 + 106. Is -11/17 at most as big as d?
False
Suppose r + 0*a + 5*a = 49, 86 = 4*r - 2*a. Let x be (-12)/(-27)*45/r. Is x greater than or equal to 0?
True
Let x = -71 + 50. Let r = -45 - x. Let k be 4/r*(-8)/14. Which is greater: k or 0?
k
Let u = -9 + 6. Suppose -40 = -5*h - 15. Suppose h*k + 6 = 2*k. Which is smaller: k or u?
u
Let l = 4 + -13. Let s be 3*(-2 - 15/l). Is s greater than -2?
True
Suppose 3*f + 9 - 27 = 0. Let z be 3/f - (-10)/4. Suppose -o = z*o. Is o less than or equal to 0?
True
Let p be 9/(-6)*4/(-6). Are 0.4 and p equal?
False
Let n = 212/3 - 72. Let u be ((-6)/4)/(12/16). Is n at least as big as u?
True
Let g be 1/(-2 - -1*3). Let f be ((-3)/(-9))/(g/(-3)). Let x be (-4)/30 - 2/(-6). Are x and f nonequal?
True
Suppose 0 = -2*v - u + 4, -7*v + 2*v = 2*u - 11. Suppose -5*p + 1 = -v*o, -11 = 5*o - 1. Which is smaller: p or -2/23?
p
Suppose 2*o + 2*o - 16 = 0, 60 = -4*x - 5*o. Let s be 36/(-15) + (-8)/x. Is s != -2/3?
True
Let m | {
"pile_set_name": "DM Mathematics"
} |
s i(-4)?
-319
Let v(u) = 2*u**3 - 137*u**2 + 456*u - 241. Give v(65).
-176
Let k(h) = 2*h**3 - 268*h**2 - 31*h + 4045. What is k(134)?
-109
Let r(o) = 1371*o + 6557. Determine r(-4).
1073
Let d(v) = -2*v**3 + 96*v**2 - 194*v + 429. Give d(46).
-31
Let v(p) = 6122*p + 1475482. Give v(-241).
80
Let w(b) = 2*b**3 - 6*b**2 + 3458*b - 10348. Calculate w(3).
26
Let a(p) = 45*p**2 + 7107*p - 44774. Give a(-164).
-2
Let z(c) = 60390*c + 1509607. Give z(-25).
-143
Let v(n) = -3*n**2 - 149*n - 2039. Determine v(-25).
-189
Let l(m) = -2*m**3 - 12*m**2 + 103*m - 10. What is l(5)?
-45
Let o(n) = -n**2 - 3542*n + 136001. Give o(38).
-39
Let m(l) = -l**3 - 9*l**2 + 193*l + 306. Calculate m(11).
9
Let l(m) = 2571*m**2 - 33422*m - 59. Determine l(13).
-46
Let f(s) = -1427*s + 1305. Determine f(2).
-1549
Let r(h) = -h**3 - 20*h**2 + 21*h - 241. What is r(-11)?
-1561
Let m(c) = -55*c**2 - 31*c + 204. Give m(6).
-1962
Let s(w) = -18277*w - 1078381. Calculate s(-59).
-38
Let u(s) = 8*s**3 - 134*s**2 - 557*s + 8800. Give u(17).
-91
Let k(b) = b**2 + 56*b - 2426. Give k(-84).
-74
Let g(z) = -z**3 - 29*z**2 + 31654*z - 295. Calculate g(164).
33
Let m(g) = -379*g**3 + 188362*g**2 + 505*g - 3970. Determine m(497).
6
Let c(i) = 1028*i + 156. Give c(1).
1184
Let q(p) = 451*p + 409. What is q(2)?
1311
Let b(g) = -150*g**3 + 8*g**2 + 107*g - 231. Determine b(2).
-1185
Let m(f) = -303*f**2 + 13933*f + 227. What is m(46)?
-3
Let p(b) = -127*b - 16002. What is p(-130)?
508
Let x(f) = -2*f**3 - 23*f**2 - 610*f - 10703. Give x(-15).
22
Let x(i) = -117*i**3 + 3*i**2 + 4*i - 8. Calculate x(1).
-118
Let k(z) = 6*z**3 + 89*z**2 + 25*z - 387. Calculate k(-14).
243
Let d(y) = -2820*y - 29479. What is d(-10)?
-1279
Let o(u) = -515*u**2 - 2133*u - 105. Calculate o(-4).
187
Let y(c) = -5*c**3 - 5225*c**2 - 5208*c + 12516. Determine y(-1044).
-12
Let p(b) = -371125*b - 371131. Determine p(-1).
-6
Let x(h) = 2*h**2 + 1212*h - 30113. Calculate x(24).
127
Let g(l) = -l**2 - 60*l + 3143. Determine g(-79).
1642
Let k(b) = 1039333*b - 4. Give k(0).
-4
Let y(c) = -c**3 - 39*c**2 + 1270*c - 224. Give y(21).
-14
Let h(o) = 4*o**2 - 55003*o - 220077. Calculate h(-4).
-1
Let x(q) = -363*q + 2262. Determine x(6).
84
Let g(n) = -n**3 - 109*n**2 - 2162*n - 235774. Determine g(-109).
-116
Let v(g) = -g**3 + 116*g**2 + 664*g - 77020. What is v(116)?
4
Let i(q) = -78579*q - 5972025. Determine i(-76).
-21
Let a(h) = 1864*h - 119152. Determine a(64).
144
Let g(c) = 2*c**2 - 6469*c + 436838. What is g(69)?
-1
Let z(o) = 2262*o + 81793. Determine z(-36).
361
Let i(a) = a**3 - 15*a**2 + 490*a - 8727. Calculate i(17).
181
Let p(l) = -45*l - 7180. Give p(-160).
20
Let g(h) = 1588*h - 26237. Determine g(15).
-2417
Let n(i) = i**3 + 943*i**2 + 9347*i + 185. What is n(-10)?
15
Let u(i) = 976261*i + 10738922. Calculate u(-11).
51
Let n(l) = 2*l**2 + 164*l + 2555. Give n(-76).
1643
Let t(s) = -3256*s - 136751. What is t(-42)?
1
Let o(s) = 4241*s + 33885. What is o(-8)?
-43
Let r(x) = -63*x**2 - 2957*x + 178. Determine r(-47).
-10
Let p(g) = 221*g + 30267. What is p(-136)?
211
Let r(h) = 9*h**3 - 962*h**2 - 101*h - 15. Give r(107).
627
Let y(p) = -4258*p + 498191. What is y(117)?
5
Let i(q) = -q**3 - 29*q**2 + 107*q + 482. What is i(-31)?
-913
Let w(c) = -13004*c - 1625490. Give w(-125).
10
Let k(y) = -3*y**2 + 2955*y - 26597. Calculate k(9).
-245
Let m(g) = -5*g**2 + 2481*g - 14873. Determine m(6).
-167
Let m(c) = -c**2 - 100*c - 2311. Calculate m(-57).
140
Let i(l) = 27092*l + 81280. Give i(-3).
4
Let q(r) = 3114*r**2 + 15600*r + 56. Give q(-5).
-94
Let c(h) = 1102*h - 262281. Give c(238).
-5
Let y(g) = -4*g**2 - 5554*g - 38674. Determine y(-7).
8
Let y(z) = -23189*z - 115923. Give y(-5).
22
Let n(a) = -192*a - 44976. Determine n(-234).
-48
Let i(r) = 737*r - 42332. Give i(53).
-3271
Let s(p) = p**3 + 2337*p**2 - 49448*p - 1469. Calculate s(21).
1
Let y(x) = -x**3 + 63*x**2 - 858*x + 59163. Calculate y(64).
155
Let y(l) = -l**2 - 9904*l + 678178. Calculate y(68).
82
Let q(x) = -441*x + 105018. Calculate q(238).
60
Let u(w) = -3*w**3 + 401*w**2 + 131*w + 530. Calculate u(134).
128
Let b(g) = 13444*g + 13450. Determine b(-1).
6
Let r(j) = -1216*j - 244417. Calculate r(-201).
-1
Let j(z) = -220*z + 9164. Calculate j(46).
-956
Let c(f) = 549*f - 83152. Determine c(152).
296
Let q(a) = -689*a - 34791. Determine q(-46).
-3097
Let z(j) = -566*j + 11824. Calculate z(18).
1636
Let c(r) = 6*r**2 - 1016*r - 196. Determine c(167).
-2534
Let k(z) = 3*z**2 - 803*z + 37229. Calculate k(208).
-3
Let k(o) = o**2 - 605*o - 470252. What is k(-447)?
-8
Let j(o) = -1134*o - 160997. Determine j(-142).
31
Let o(a) = -1791*a - 23064. Give o(-12).
-1572
Let o(h) = h**3 - 2*h**2 - 756*h - 733. Give o(29).
50
Let z(p) = -28*p**3 + 340*p**2 - 42*p - 83. Calculate z(12).
-11
Let q(r) = 3740*r - 2756386. Determine q(737).
-6
Let s(g) = 2*g**3 - 345*g**2 - 881*g + 1057. Calculate s(175).
7
Let k(g) = 17*g**2 - 8*g + 50. Give k(0).
50
Let i(x) = x**2 - 966*x - 17595. Calculate i(-18).
117
Let p(m) = -315*m + 18533. Calculate p(59).
-52
Let t(p) = 21*p**2 + 1477*p + 1913. Calculate t(-69).
-19
Let y(h) = h**3 - 21*h**2 - 120*h + 3281. Calculate y(23).
1579
Let s(l) = 22*l**2 + 975*l - 14865. Calculate s(12).
3
Let u(o) = 2567*o - 59027. Determine u(23).
14
Let n(p) = p**2 - 3298*p + 136739. Give n(42).
-13
Let k(y) = -y**3 + 12*y**2 + 121*y - 548. What is k(-14)?
2854
Let h(z) = -6459*z + 83971. Give h(13).
4
Let t(i) = 17*i**2 + 974*i + 13825. Determine t(-26).
-7
Let v(m) = 568*m - 11327. What is v(20)?
33
Let a(m) = 1988*m + 550346. Determine a(-277).
-330
Let j(q) = -65*q**2 + 2699*q + 4155. Calculate j(43).
27
Let m(v) = -v**2 + 2944*v + 1055273. Give m(-323).
32
Let h(p) = 7*p - 842. Determine h(33).
-611
Let l(m) = -5*m**2 + 3446*m + 48431. What is l(-14)?
-793
Let n(q) = q**3 + 261*q**2 + 2036*q + 3167. What is n(-253)?
131
Let k(i) = 68*i**2 - 359*i - 1103. Give k(-3).
586
Let s(p) = 30*p + 2815. Determine s(-82).
355
Let s(z) = -z**3 + 178*z**2 - 202*z + 4522. What is s(177)?
97
Let u(k) = -926*k - 8391. Determine u(-9).
-57
Let b(n) = -18*n**2 - 1193*n - 2287. Calculate b(-2).
27
Let o(d) = 14047*d - 42178. Determine o(3).
-37
Let d(j) = -1499*j + 32991. Calculate d(22).
13
Let o(q) = -107*q + 7094. What is o(67)?
-75
Let j(x) = -268012*x + 268022. What is j(1)?
10
Let s(i) = i**2 + 9532*i + 209103. Calculate s(-22).
-117
Let f(p) = -211*p + 4796. Calculate f(29).
-1323
Let v(r) = r**2 + 99*r + 3509. Give v(-37).
1215
Let w(o) = -o**3 + 6*o**2 + 50*o + 41. Calculate w(-5).
66
Let u(g) = g**3 - 57*g**2 + 285*g + 131. Give u(6).
5
Let h(u) = -2*u**3 + 15*u**2 - 58*u + 31. Calculate h(3).
-62
Let t(f) = 42*f**3 + 273*f**2 - 31*f - 156. Give t(-4).
1648
Let y(x) = -354304*x - 19486716. Give y(-55).
4
Let n(x) = -3*x**3 + 40*x**2 - 44*x - 53. Calculate n(0).
-53
Let f(t) = 205*t - 19062. Determine f(93).
3
Let a(q) = 5*q**3 + 2*q**2 + 20*q - 22. Calculate a(6).
1250
Let s(w) = 2*w**3 - 7*w**2 - 22147*w - 208. Determine s(107).
6
Let j(l) = 28*l**3 - 4*l**2 + 11*l - 5. Give j(1).
30
Let w(c) = -c**3 + 52*c**2 - 2071*c + 98518. What is w(50)?
-32
Let m(l) = 5*l**3 - l**2 + 51*l + 184. What is m(-3)?
-113
Let l(b) = -16*b**2 - 12850*b - 534413. What is l(-44)?
11
Let a(r) = -12696*r - 558597. Determine a(-44).
27
Let h(n) = n**3 - 9*n**2 - 193*n + 235. What is h(16)?
-1061
Let k(s) = -969*s**3 - 5*s**2 - 62*s + 67. Determine k(1).
-969
Let u(o) = -31*o**2 - 1203*o - 4127. What is u(-35)?
3
Let x(p) = -p**3 - 260*p**2 - 9679*p - 215. Determine x(-45).
-35
Let j(v) = 222*v**2 + 99*v + 138. Calculate j(-2).
828
Let g(t) = -2*t**3 + 26*t**2 + 64*t + 50. What is g(15)?
110
Let a(z) = -597*z - 6025. What is a(-10)?
-55
Let b(k) = -4*k**3 - 126*k**2 - 97*k - 88. Give b(-30).
-2578
Let v(w) = -153*w**2 - 10958*w + 4185. What is v(-72)?
9
Let n(m) = -m**3 - 5*m**2 + 24*m - 83. Determine n(-8).
-83
Let w(h) = h**3 + 515*h**2 + 1514*h - 11369. What is w(-512)?
-105
Let m(z) = -z**3 - 162*z**2 - 6566*z - 410. Calculate m(-81).
-5
Let w(c) = -4*c**2 + 28*c + 409. Determine w(-16).
-1063
Let x(s) = -3*s**3 - 185*s**2 - 1970*s - 15. Give x(-48).
81
Let a(z) = -z**2 + 79*z - 601. Determine a(70).
29
Let a(w) = -w**3 - 47*w**2 - 539*w + 232. Give a(-22).
- | {
"pile_set_name": "DM Mathematics"
} |
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