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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? 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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 What comes next: 625124, 1250244, 1875364? 2500484 What is the next term in -164111, -164251, -164385, -164513? -164635 What is next in -3616511, -7232943, -10849375, -14465807, -18082239, -21698671? -25315103 What comes next: 1037, 1028, 1025, 1034, 1061, 1112, 1193, 1310? 1469 What is the next term in 15929, 15729, 15533, 15341, 15153, 14969, 14789? 14613 What is the next term in 2647, 4991, 6739, 7603, 7295, 5527, 2011? -3541 What is the next term in -74505, -74468, -74431, -74394? -74357 What is next in 5439, 11711, 18781, 26655, 35339, 44839? 55161 What is next in 8246734, 16493452, 24740170? 32986888 What is the next term in -3421, -11648, -25359, -44554, -69233, -99396? -135043 What is next in 90722, 181242, 271760, 362276, 452790? 543302 What comes next: 4160, 34204, 115736, 274496, 536224, 926660? 1471544 What comes next: 30347, 121647, 273865, 486995, 761031? 1095967 What is the next term in 1330920, 2661878, 3992860, 5323878, 6654944, 7986070, 9317268, 10648550? 11979928 What is the next term in 334846760, 334846758, 334846756, 334846754, 334846752? 334846750 What is the next term in -653, -4930, -16531, -39116, -76345, -131878? -209375 What is next in 49, 105, 369, 949, 1953? 3489 What comes next: -7181, -7197, -7261, -7391, -7605, -7921? -8357 What is next in 437, 1785, 4037, 7199, 11277, 16277, 22205? 29067 What is next in 3260, 3352, 3506, 3722, 4000? 4340 What is the next term in -4416, -10994, -17572, -24150, -30728, -37306? -43884 What is the next term in 52413, 52257, 52099, 51939, 51777? 51613 What comes next: -6363944, -12727913, -19091882, -25455851, -31819820, -38183789? -44547758 What comes next: -8179, -16388, -24595, -32800, -41003, -49204, -57403? -65600 What is the next term in 8184, 33258, 75216, 134058? 209784 What comes next: -8331286, -8331293, -8331300, -8331307, -8331314, -8331321? -8331328 What is the next term in 275247, 275486, 275725, 275964, 276203? 276442 What is next in -1201096, -2402174, -3603252, -4804330, -6005408? -7206486 What is next in 3869943, 3869958, 3869973? 3869988 What is the next term in -1745500, -1745629, -1745748, -1745851, -1745932, -1745985, -1746004, -1745983? -1745916 What is next in 35494, 35049, 34604, 34159? 33714 What is the next term in -202, -1434, -4702, -11026, -21426? -36922 What is next in -75918, -75995, -76082, -76185, -76310? -76463 What comes next: -388758, -388872, -388986, -389100, -389214, -389328? -389442 What is the next term in 36903, 37419, 37935, 38451, 38967, 39483? 39999 What comes next: -41933, -83950, -126057, -168272, -210613, -253098, -295745? -338572 What is the next term in -92489, -184732, -276975, -369218, -461461, -553704? -645947 What comes next: -15507, -30784, -46061, -61338, -76615, -91892? -107169 What is the next term in -73568, -73602, -73636? -73670 What comes next: 1671, 5207, 10459, 17433, 26135, 36571? 48747 What is next in -103176, -102214, -101252, -100290, -99328? -98366 What comes next: -9987023, -9987022, -9987021, -9987020, -9987019, -9987018? -9987017 What is the next term in 747493, 2989890, 6727191, 11959396, 18686505, 26908518, 36625435? 47837256 What is the next term in -215, -1689, -4405, -8363, -13563, -20005, -27689? -36615 What is next in -38104, -75005, -111894, -148765, -185612? -222429 What is next in 66275, 65873, 65195, 64235, 62987, 61445, 59603, 57455? 54995 What comes next: 15371, 26369, 37379, 48407, 59459, 70541? 81659 What is next in -7694, -29807, -66662, -118259, -184598, -265679, -361502? -472067 What comes next: -7241, -6479, -4379, -275, 6499, 16609, 30721, 49501? 73615 What comes next: -56440, -113457, -170460, -227443, -284400? -341325 What is the next term in -4600, -18220, -40868, -72544? -113248 What is next in -1094180612, -1094180616, -1094180622, -1094180630, -1094180640? -1094180652 What is next in 165021, 165175, 165343, 165531, 165745, 165991? 166275 What is the next term in -12392, -46221, -101474, -178151, -276252, -395777, -536726? -699099 What comes next: -171882, -172350, -173620, -176094, -180174, -186262, -194760, -206070? -220594 What comes next: -1162, -8963, -30128, -71335, -139262, -240587, -381988? -570143 What is the next term in -85264, -86056, -86848? -87640 What comes next: 6268, 6625, 7074, 7615, 8248, 8973, 9790? 10699 What is next in -818242, -3272883, -7363962, -13091485, -20455458, -29455887, -40092778? -52366137 What comes next: -2931, -5916, -8855, -11742, -14571, -17336? -20031 What is the next term in 162473, 163930, 165387, 166844, 168301, 169758? 171215 What is the next term in 23319, 43435, 63563, 83709, 103879, 124079, 144315, 164593? 184919 What is next in -380, -618, -616, -374, 108? 830 What is next in 2390, 2520, 2720, 2990, 3330, 3740, 4220? 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" }