Datasets:
timaeus
/
pile-dm_mathematics

Dataset card Data Studio Files
xet
Community
text
stringlengths
270
8.19k
meta
dict
i + 15 = c. Solve -i*s - s = -8 for s. 2 Let v(s) = -4*s - 3. Let p be v(-2). Suppose -u + q = u, p*q = 2*u. Solve -3*m + u*m - 6 = 0 for m. -2 Suppose -5*h = 5*j, h - 3*j - 4 = 12. Suppose -5*r + 2 = -h*r. Let w be (-1 - -1) + r + -1. Solve 4 + w = -z for z. -5 Let a be (-5)/(-10) - (-1)/2. Solve -4*i - 3 = a for i. -1 Let u(z) = -z + 2. Let h be u(1). Suppose -10*a = 40 - 110. Solve h + a = -2*q for q. -4 Let x(v) be the third derivative of v**5/60 + v**3/6 - v**2. Let z = 1 + -1. Let m be x(z). Solve -q + m = 4 for q. -3 Let o be 3 - (-1)/2*0. Solve 4*h = o*h - 5 for h. -5 Suppose h = 27 - 22. Let z(q) = -q**3 - q**2 + q - 2. Let l be z(-2). Solve h*u + l = -5 for u. -1 Suppose 0 = -0*s + 2*s - 10. Suppose 6 = -5*l - 2*v, -s*v = 2*l - 4*l + 15. Let a(z) = z**3 + 2. Let k be a(l). Solve -4*d + k = -14 for d. 4 Suppose 4*j + 1 - 5 = 0. Let i be ((-2)/(-3))/((-2)/(-9)). Suppose i = q - j. Solve q - 3 = u for u. 1 Let g(j) = j**3 + 5*j**2 - j - 2. Let l be g(-5). Let k(m) = -11 - 16*m + 10*m + 9*m. Let r be k(7). Solve -r = -l*u - 4 for u. 2 Let m = 7 - 2. Suppose 7 = -o - 0*o + s, m*o + s + 11 = 0. Let r be (-16)/o - (-2)/(-6). Solve 0*g + 20 = -r*g for g. -4 Let a(z) = -z + 13. Let k be a(9). Solve k = 2*t + 2 for t. 1 Suppose 4*i - 2*i = -s + 5, 0 = -3*i + 2*s + 11. Solve -i = 4*j + 5 for j. -2 Let r(w) = -w**3 - 7*w**2 - 7*w - 6. Let z be r(-6). Let v be z + (1 - (-1 + 1)). Let l(q) = -q**2 - 6*q - 2. Let y be l(-3). Solve -3*o = v - y for o. 2 Let u be 12/(-10)*10/(-2). Let z = u + -4. Suppose -2*h = 2*v - 14, 6*v - 15 = 5*h + v. Solve 4 = -h*p - z for p. -3 Let u(s) = -s**3 - 11*s**2 + 11*s - 10. Let o be u(-12). Solve o*d = -0 - 6 for d. -3 Let n = 3 + 1. Suppose 3*x - 22 = 4*b, -4*b = 17 - 1. Let h(t) = 3*t - 1. Let p be h(x). Solve -p*c = -n*c - 2 for c. 2 Suppose -g = 3*g - 12. Suppose 3*x + 17 = a, g*a - 4*x - 2 = 29. Suppose a*i + 15 = -5*z, 0 = 3*z + z + 5*i + 15. Solve 4*s = -z*s + 20 for s. 5 Let h = -4 + 4. Let x be 23 + 6/3 + 1. Let o = x + -14. Solve 4*w + o = -h*w for w. -3 Suppose x + 1 - 2 = 0. Let h = x + 4. Solve -2*f + 3 = h for f. -1 Let u be 1/4 + 22/8. Let m = -1 + 1. Suppose 4*h = -m*h. Solve h = 7*f - u*f - 4 for f. 1 Let l be (-9)/(-5 - -2) + -2. Let k be 8*2*l/4. Solve m = -1 + k for m. 3 Let k be 4 + (-2 + 0)/2. Suppose -3*h - k*u - 2*u + 37 = 0, -u = 2*h - 20. Solve 0 = 4*v - h - 11 for v. 5 Suppose 2*o = -0*o - 4*z - 6, 3*z = -3*o. Let i(n) = -n - 6. Let g be i(-12). Let a = g + -1. Solve 2 = a*y - o for y. 1 Suppose -13*o = -11*o - 8. Solve 7 + 9 = -o*z for z. -4 Let m = -20 + 12. Let n be (-1)/(36/m - -4). Solve -r + n*r = -4 for r. -4 Let l = -7 - -7. Suppose 2*m + 4*y + 0*y - 42 = l, 2*m + 3*y - 39 = 0. Solve 5*d + 0*d = m for d. 3 Let v be 3*-1*(0 - 1). Let m(d) = -4*d**3 - 2*d**2 - 3*d - 5. Let f be m(-2). Solve -2*r = v*r - f for r. 5 Let p = -66 + 70. Solve p*t = 3*t - 3 for t. -3 Let z be 2/6 - (-8)/3. Suppose z*g - 24 = -0*g. Suppose 2*t + 0*t - 10 = q, 10 = 5*q + 2*t. Solve q*u = 4*u + g for u. -2 Let l(t) = 4*t - 1. Let m(h) = -h**3 + 3*h**2 + 1. Let p be m(3). Let i be l(p). Let q be 5 + 0 + -2 + 1. Solve q*k = 3*k - i for k. -3 Suppose -h + 30 = 27. Solve -h*r - 12 = r for r. -3 Let i = -22 + 42. Let k be 28/6 - (-10)/(-15). Suppose z = -4*r + 22, -z = -0*r - k*r + 18. Solve -i = 7*w - z*w for w. -4 Suppose -2*z + 2*n + 8 = 0, -z - 3*n = z - 3. Solve -6 = o - z*o for o. 3 Let x be (12/(-24))/(1/18). Let u(r) = -r**3 - 8*r**2 + 10*r + 11. Let t be u(x). Solve d = t + 1 for d. 3 Suppose -6*f = -31 + 1. Solve 0 = -2*h + 3*h + f for h. -5 Suppose h = 2*k, 4*k - 5*h + 12 = -0*h. Suppose -l = -5*p + 4, -p - 2*p = -k*l - 1. Solve 3 - p = -s for s. -2 Suppose 0 = -3*c + 13*c - 40. Solve -c*q + 25 = q for q. 5 Let p be 160/28 - (-6)/21. Solve 0*c - p = 2*c for c. -3 Let r(a) be the first derivative of -2*a - 2*a - 2 - 2*a**2 + a**2. Let c be r(-4). Solve 0 = c*v - 2*v - 10 for v. 5 Suppose -5*t = r - 22, t + 4*t + 4*r - 13 = 0. Solve 8 = h - t*h for h. -2 Let g be -1 - (-8 - (-5 + 1)). Solve -g*w = 2 + 4 for w. -2 Let z(h) = 2*h**2 - 7*h + 13. Let v be z(3). Solve -4*t - v = -2*t for t. -5 Let d(b) = b**2 - 1. Let y be d(0). Let v = y - 2. Let r = 0 - v. Solve -2 = -r*x + 10 for x. 4 Let i be (-1)/(-1) + 0 + 6. Let z = -3 - -5. Suppose -z*j = -i*j. Solve 0*c - c + 3 = j for c. 3 Let l(v) = -v**2 - 5*v - 2. Let k be l(-3). Solve 4*j + 12 + k = 0 for j. -4 Let v be -4 + (-10)/2 + 2. Let j(x) be the first derivative of x**4/4 + 8*x**3/3 + 7*x**2/2 + 3*x - 1. Let y be j(v). Solve -10 = b - y*b for b. 5 Let x(w) be the second derivative of w**3/2 - w**2 + w. Let z(p) = p**2 - 4*p + 2. Let k be z(4). Let b be x(k). Solve b*a - 8 = 2*a for a. 4 Let f(h) = -h + 2. Let c be f(3). Suppose 4*b - 14 = -2*y, 0 = 3*b - 0*b - 15. Let j = c - y. Solve -2*o - j*o = 0 for o. 0 Let l = 77 - 54. Let a = -20 + l. Solve -4*t + a*t + 3 = 0 for t. 3 Let h(v) = -2*v - 2. Let c(y) = y + 1. Let d(x) = 7*c(x) + 4*h(x). Let l be d(-6). Solve l*s = -7 - 8 for s. -3 Let o be (-1)/(-2) + 3/6. Suppose 3*v + 3 = 0, 2*n + v = -0*v - o. Solve n = p - 1 for p. 1 Let f = -4 - -6. Suppose -f*c + 5 = -7. Let y be ((-4)/6)/((-1)/c). Solve 3*t + y = t for t. -2 Suppose -6 = -2*u + o, 0*o + o - 6 = -4*u. Suppose g - u*g = -5. Solve -s = -g*s for s. 0 Let c(o) = 2*o - 4. Let b be c(3). Solve j = -b*j - 12 for j. -4 Suppose -4*x + 3*x + 16 = 0. Solve 0*q = 4*q - x for q. 4 Let g be 0 + 0 + -3 + 0. Let a be (-14)/(-8) + g/4. Solve 4*u + a = -3 for u. -1 Let n(w) = w**3 - 2*w**2 + 2*w. Let t be n(2). Suppose t = -2*o - 4*q, -4*o + 5*q + 1 = -17. Solve -o = d - 5 for d. 3 Let q(p) = -p**2 - 7*p - 4. Let x be q(-6). Let b be (-4)/(-18) + (-6)/27. Suppose b + x = w. Solve 1 = -w*v + 5 for v. 2 Let k(l) = -2*l - 4. Let u be k(-3). Suppose -5*h - u*z = -19, -2*z = -2*h - 5*z + 1. Suppose -2*v + 3 = -p, -h*p + 15 = -2*p. Solve 1 = v*c + 5 for c. -1 Let c(i) = -i + 3. Let v be c(0). Solve 0 = -2*l - 7 - v for l. -5 Let w be (1/2)/(1/(-20)). Suppose 46 = 3*g - j, g + 2*j = 7*j + 34. Let d = g + w. Solve -d*n - 4 = 8 for n. -3 Let n(a) = a**3 + 16*a**2 - 19*a - 31. Let l be n(-17). Solve 19 = 4*o + l for o. 4 Suppose -12*y = -9*y - 6. Solve y*p + 9 = 3 for p. -3 Let m(g) = -g**2 - 2*g + 3. Let a be m(-3). Suppose a*q + 3*q = 30. Solve 0 = 7*c - 2*c + q for c. -2 Let o = 176 - 170. Suppose 0 = -3*s - s + 48. Solve o*c = 3*c - s for c. -4 Suppose -2*h = -12 - 12. Solve -3*m = -0*m + h for m. -4 Let o(h) = h**3 + 3*h**2 - 3*h. Let r be o(-3). Let x be (r/(-6))/(6/(-16)). Suppose x*n + 1 = -3*s, 0*n - 14 = -n + 4*s. Solve n*u = -u + 3 for u. 1 Suppose 0*y - 2*y = -10. Solve -y*o = -o - 16 for o. 4 Suppose -3*g + 4*r - 10 = -g, -4*g + 3*r - 20 = 0. Let m = -3 - g. Suppose j = -3*j. Solve j = -f + m*f for f. 0 Let h(q) = -q - 8. Let o be h(-7). Let g be -15*(-2 + o + 2). Let f be 4/(-18) - 646/(-153). Solve -x = -f*x + g for x. 5 Let a be (-4 + 3)/(1/9). Let d = 9 + a. Solve -7*i + 3*i - 8 = d for i. -2 Let k be (((-45)/20)/1)/(3/(-8)). Solve -k*j = -j - 25 for j. 5 Suppose -1 = 3*c + 5. Let g be (-18)/4*c/3. Solve 0 = g*k - 0*k for k. 0 Let r(x) = -12*x**3. Let w be r(-1). Suppose 0 = -5*a + w - 2. Let d be a/10 + (-1)/5. Solve d = -6*j + 3*j for j. 0 Let p(x) = x**2 - 2*x - 2. Let u be p(4). Suppose -2*b = 2*b - 20. Suppose -4*r = a + 11, -24 = -3*a + r - b. Solve 0 = a*f - 2*f - u for f. 2 Let f be 17/6 - 3/(-18). Solve 2*m - f = m for m. 3 Suppose 4*f + 19 = 4*w - 13, 5*f + 20 = 0. Let c = 1 + w. Let i = c + -3. Solve -i*o - 4 = -2 for o. -1 Let z be (-2*1)/((-6)/45). Solve -4*y - y = z for y. -3 Let x(u) = u**3 + 6*u**2 - 6*u + 7. Let v be x(-7). Let k be 2 - (v/(-2))/3. Solve -k*s + 16 = 2*s for s. 4 Let w(d) = d + 6. Let g be -1 - -3 - (1 + -1). Suppose 2*o + 24 = 2*c - 6*c, c - 9 = g*o. Let f be w(o). Solve f*y + 4*y = -20 for y. -5 Suppose -5*k + 4*y + 8 = -28, 4*y + 16 = 0. Suppose 3*t + 0*t - k*o - 11 = 0, 4*t + 3*o = -2. Let l be (-1 - -1)*t/2. Solve l = -q - q - 6 for q. -3 Let b be (2/11 - 0) + 20/(-110). Solve -3*y - 10 - 2 = b for y. -4 Let g(f) = -f**3 - 8*f**2 + 10*f + 12. Suppose 4*u = -u + 165. Suppose -u = 4*i + 3. Let l be g(i). Solve -5*z + l = 18 for z. -3 Let q(t) = 13*t. Let v be (-4 + 4)/(1 + -3). Suppose 3*u + v*u = 5*s - 8, s = 5*u +
{ "pile_set_name": "DM Mathematics" }
is the hundreds digit of 3127? 1 What is the hundred thousands digit of 134552? 1 What is the units digit of 162820? 0 What is the thousands digit of 2245? 2 What is the hundreds digit of 8614? 6 What is the hundreds digit of 5162? 1 What is the tens digit of 674? 7 What is the units digit of 12597? 7 What is the hundreds digit of 44539? 5 What is the hundreds digit of 3550? 5 What is the tens digit of 1375? 7 What is the hundreds digit of 47021? 0 What is the units digit of 498? 8 What is the hundreds digit of 838? 8 What is the units digit of 44770? 0 What is the units digit of 2597? 7 What is the units digit of 467? 7 What is the tens digit of 774? 7 What is the thousands digit of 2863? 2 What is the tens digit of 744? 4 What is the hundreds digit of 707? 7 What is the hundreds digit of 13419? 4 What is the hundreds digit of 79752? 7 What is the hundreds digit of 1634? 6 What is the units digit of 8365? 5 What is the tens digit of 238? 3 What is the thousands digit of 1259? 1 What is the hundreds digit of 25435? 4 What is the thousands digit of 4950? 4 What is the hundreds digit of 22466? 4 What is the hundreds digit of 9502? 5 What is the tens digit of 924? 2 What is the hundreds digit of 16469? 4 What is the hundreds digit of 732? 7 What is the hundreds digit of 10402? 4 What is the units digit of 14216? 6 What is the units digit of 9586? 6 What is the hundreds digit of 3931? 9 What is the ten thousands digit of 25745? 2 What is the units digit of 2436? 6 What is the units digit of 3152? 2 What is the units digit of 5103? 3 What is the hundreds digit of 1599? 5 What is the tens digit of 11699? 9 What is the thousands digit of 8121? 8 What is the units digit of 89913? 3 What is the units digit of 32234? 4 What is the thousands digit of 1016? 1 What is the ten thousands digit of 121643? 2 What is the units digit of 158969? 9 What is the ten thousands digit of 64446? 6 What is the hundreds digit of 55806? 8 What is the thousands digit of 4498? 4 What is the hundreds digit of 14108? 1 What is the ten thousands digit of 30867? 3 What is the hundreds digit of 16754? 7 What is the thousands digit of 15180? 5 What is the tens digit of 1472? 7 What is the units digit of 793? 3 What is the tens digit of 22871? 7 What is the units digit of 3226? 6 What is the tens digit of 2024? 2 What is the ten thousands digit of 29647? 2 What is the tens digit of 99457? 5 What is the tens digit of 65749? 4 What is the hundreds digit of 17273? 2 What is the thousands digit of 56404? 6 What is the hundreds digit of 7710? 7 What is the hundreds digit of 692? 6 What is the hundreds digit of 5272? 2 What is the units digit of 205683? 3 What is the units digit of 936? 6 What is the units digit of 1866? 6 What is the units digit of 2237? 7 What is the ten thousands digit of 20255? 2 What is the units digit of 5373? 3 What is the tens digit of 371? 7 What is the tens digit of 3246? 4 What is the ten thousands digit of 23975? 2 What is the hundred thousands digit of 102565? 1 What is the hundreds digit of 1037? 0 What is the hundreds digit of 117? 1 What is the tens digit of 31477? 7 What is the thousands digit of 7101? 7 What is the units digit of 63140? 0 What is the units digit of 6774? 4 What is the hundreds digit of 12848? 8 What is the units digit of 152784? 4 What is the hundreds digit of 3049? 0 What is the tens digit of 1790? 9 What is the tens digit of 1219? 1 What is the hundreds digit of 13302? 3 What is the tens digit of 25619? 1 What is the tens digit of 1900? 0 What is the hundreds digit of 171? 1 What is the tens digit of 34352? 5 What is the hundreds digit of 1423? 4 What is the units digit of 746? 6 What is the tens digit of 23222? 2 What is the tens digit of 2810? 1 What is the thousands digit of 2523? 2 What is the ten thousands digit of 43178? 4 What is the tens digit of 258? 5 What is the ten thousands digit of 17407? 1 What is the thousands digit of 9057? 9 What is the hundreds digit of 6294? 2 What is the units digit of 78365? 5 What is the units digit of 27101? 1 What is the hundreds digit of 407? 4 What is the tens digit of 14505? 0 What is the tens digit of 10543? 4 What is the tens digit of 5397? 9 What is the hundreds digit of 385? 3 What is the hundreds digit of 935? 9 What is the units digit of 38570? 0 What is the units digit of 12426? 6 What is the ten thousands digit of 75175? 7 What is the hundreds digit of 1427? 4 What is the units digit of 6803? 3 What is the thousands digit of 25133? 5 What is the tens digit of 181? 8 What is the thousands digit of 49099? 9 What is the hundreds digit of 1554? 5 What is the tens digit of 13695? 9 What is the units digit of 863? 3 What is the hundreds digit of 1028? 0 What is the tens digit of 78823? 2 What is the hundreds digit of 37650? 6 What is the thousands digit of 5812? 5 What is the hundreds digit of 9927? 9 What is the hundreds digit of 10927? 9 What is the tens digit of 2872? 7 What is the ten thousands digit of 74897? 7 What is the tens digit of 2511? 1 What is the thousands digit of 7745? 7 What is the hundreds digit of 9364? 3 What is the units digit of 119409? 9 What is the tens digit of 603? 0 What is the tens digit of 1377? 7 What is the hundreds digit of 3166? 1 What is the tens digit of 867? 6 What is the units digit of 110310? 0 What is the thousands digit of 16023? 6 What is the thousands digit of 18608? 8 What is the units digit of 265? 5 What is the hundreds digit of 1102? 1 What is the units digit of 990? 0 What is the units digit of 76? 6 What is the tens digit of 12686? 8 What is the thousands digit of 11278? 1 What is the units digit of 1514? 4 What is the units digit of 975? 5 What is the thousands digit of 6885? 6 What is the tens digit of 2221? 2 What is the hundred thousands digit of 135942? 1 What is the tens digit of 127977? 7 What is the thousands digit of 1328? 1 What is the thousands digit of 5836? 5 What is the thousands digit of 1391? 1 What is the hundreds digit of 3400? 4 What is the hundreds digit of 18023? 0 What is the tens digit of 7381? 8 What is the hundreds digit of 20623? 6 What is the ten thousands digit of 76435? 7 What is the units digit of 204? 4 What is the tens digit of 12850? 5 What is the hundreds digit of 200? 2 What is the tens digit of 1690? 9 What is the hundreds digit of 14533? 5 What is the tens digit of 282? 8 What is the units digit of 56816? 6 What is the ten thousands digit of 24701? 2 What is the tens digit of 68064? 6 What is the thousands digit of 11075? 1 What is the units digit of 6128? 8 What is the hundreds digit of 55831? 8 What is the hundreds digit of 4705? 7 What is the tens digit of 714? 1 What is the hundreds digit of 909? 9 What is the ten thousands digit of 21333? 2 What is the thousands digit of 13136? 3 What is the tens digit of 80? 8 What is the hundreds digit of 905? 9 What is the units digit of 6416? 6 What is the hundreds digit of 5632? 6 What is the tens digit of 344? 4 What is the tens digit of 4020? 2 What is the units digit of 6968? 8 What is the tens digit of 1350? 5 What is the thousands digit of 29680? 9 What is the hundreds digit of 22871? 8 What is the thousands digit of 10223? 0 What is the ten thousands digit of 14850? 1 What is the hundreds digit of 9038? 0 What is the hundred thousands digit of 117569? 1 What is the tens digit of 5756? 5 What is the ten thousands digit of 25297? 2 What is the tens digit of 19588? 8 What is the tens digit of 3222? 2 What is the tens digit of 9754? 5 What is the hundreds digit of 2146? 1 What is the tens digit of 30159? 5 What is the thousands digit of 6999? 6 What is the tens digit of 994? 9 What is the units digit of 277? 7 What is the ten thousands digit of 14603? 1 What is the units digit of 2300? 0 What is the ten thousands digit of 87776? 8 What is the units digit of 2206? 6 What is the units digit of 2309? 9 What is the hundreds digit of 65481? 4 What is the thousands digit of 3114? 3 What is the thousands digit of 8321? 8 What is the tens digit of 524? 2 What is the hundreds digit of 215? 2 What is the units digit of 2494? 4 What is the units digit of 75481? 1 What is the hundreds digit of 19242? 2 What is the hundreds digit of 24011? 0 What is the tens digit o
{ "pile_set_name": "DM Mathematics" }
ne n*w(d) - c(d). 4*d Let s(g) = -7*g + 6. Let i(j) = -14*j + 13. Calculate 3*i(f) - 5*s(f). -7*f + 9 Let y(o) = 10*o - 3. Let x(r) be the first derivative of -169*r**2/2 + 52*r - 390. Calculate 3*x(l) + 52*y(l). 13*l Let o(f) = -4*f + 64. Let v(n) = 2. Determine -3*o(b) + 96*v(b). 12*b Let a(h) = -h + 1. Let b(y) = -190*y**3 - 2. Determine 2*a(c) + b(c). -190*c**3 - 2*c Let u(r) = -20*r**3 + 14*r - 6. Let k(z) be the second derivative of 7*z**5/20 - 5*z**3/6 + z**2 - 36*z. Let j be ((-19)/(-2) + -1)*-2. What is j*k(o) - 6*u(o)? o**3 + o + 2 Let c(x) = -8*x - 10. Let d(i) = -i - 1. Let j = -213 + 226. Suppose -2*y = -4*y + 6. Let l = y - j. Determine l*d(v) + c(v). 2*v Let o(i) = -i + 2. Let j(f) = -2*f**2 + 13*f - 10. Let x be j(5). Let r(m) = 0 + 2*m + 4 - x*m + 3. What is 7*o(a) - 2*r(a)? -a Let y = -297 + 294. Let b(f) = 3*f - 9. Let w(x) = x - 5. Give y*b(g) + 7*w(g). -2*g - 8 Suppose 13*s = 14*s - 4. Let n be 3 - (0 + s + -2). Let c(l) = 2*l**3 - 3*l**3 + 1 + 0. Let o(g) = -6*g**3 + 7. Give n*o(a) - 5*c(a). -a**3 + 2 Let o(q) be the second derivative of -q**3/3 + q**2/2 + 4*q. Let a(s) be the first derivative of -2*s**2 + 2*s + 92. What is -3*a(l) + 5*o(l)? 2*l - 1 Let y(l) = l. Let j(q) = 6*q. Suppose 11 + 16 = a. Let r = a - 22. Suppose -r*u + 17 = 2. Determine u*y(s) - j(s). -3*s Let k(m) = 4*m - 131. Let o(l) = -l. What is 2*k(u) + 6*o(u)? 2*u - 262 Let u(t) = 1. Suppose -13*d - 518 = -50*d. Let g(a) = 4*a - 7. Determine d*u(h) + 2*g(h). 8*h Let s be (10/7)/(8/28). Suppose s*i = u + 13, 5*i - 5*u - 23 = i. Let v(g) = 1 - 3 + 3 - 2*g. Let h(x) = x**2 + 5*x - 3. Give i*h(y) + 5*v(y). 2*y**2 - 1 Let n(i) = 6*i**2 - 6*i - 3. Let l be 1*(4 - -1)/(-1). Let u(x) be the first derivative of -5*x**3/3 + 5*x**2/2 + 2*x - 179. Calculate l*u(o) - 4*n(o). o**2 - o + 2 Let s(x) = 11*x + 11. Let l(c) = 45*c + 45. Determine -6*l(v) + 25*s(v). 5*v + 5 Let c(y) = 13*y**3 + 3*y**2. Let l(z) = 92*z**3 + 20*z**2. Let b = 676 - 679. What is b*l(s) + 20*c(s)? -16*s**3 Let p(y) = 1. Suppose -77*v - 74*v = -906. Let g(r) = -r - 11. Give v*p(b) + g(b). -b - 5 Let j be 65/(-9) - (-18)/81. Let n(z) = -11*z**2 + 4. Let g(y) = -21*y**2 + 7. Give j*n(k) + 4*g(k). -7*k**2 Let l(g) be the first derivative of -2*g**3/3 - g**2/2 + g + 76. Let x(d) = -d**3 + 4*d**2 - 4*d + 2. Let y be x(3). Let p(f) = -f - 1. What is y*l(t) + p(t)? 2*t**2 - 2 Let t be (-70)/(-22) - 6/33. Suppose i - 3*x = 2 - 6, x = t*i - 12. Suppose -i*l = -6 + 36. Let u(j) = -j. Let s(h) = 5*h + 3. Give l*u(w) - s(w). w - 3 Let j(x) = -10*x**2 - 13*x - 13. Let b(c) = -5*c**2 + 61*c - 6 + 2*c**2 - 2*c**2 - 67*c. Determine 13*b(a) - 6*j(a). -5*a**2 Let t(n) = 399*n**3 + 9*n**2 + 16*n + 13. Let l(k) = -200*k**3 - 4*k**2 - 7*k - 6. Determine -9*l(c) - 4*t(c). 204*c**3 - c + 2 Let r(j) = 4*j - 3. Let n(l) = l - 1. Let v = -3 + 10. Suppose v - 55 = -3*d. Let q = -15 + d. Calculate q*r(w) - 2*n(w). 2*w - 1 Let g(r) = -1 + 2 + 1 - 2*r + 3*r**2. Let i(k) = 2 - 15 - k**2 + 5*k - 3*k + 12 - k. Suppose -o = -3*t + 1 + 1, -3*t - 2*o + 14 = 0. Determine t*i(h) + g(h). h**2 Let g(y) = -y**2 - 1. Let a(x) = 8*x**2 - 13. Calculate -a(b) - 6*g(b). -2*b**2 + 19 Let r(b) = -13*b**2. Let q(y) = -7*y**2 + 89*y + 3*y**2 - 89*y - 8*y**2. What is -5*q(o) + 4*r(o)? 8*o**2 Let o(l) = 17*l + l + 16*l - 4*l**2 + 16*l - 67*l - 11. Let q(a) = -2*a**2 + 4*a**2 - 6 - 9*a - 4*a**2. Calculate 6*o(s) - 11*q(s). -2*s**2 - 3*s Let t(n) = n. Let h(w) = 3*w. Suppose -8*k = k + 27. What is k*t(j) + 6*h(j)? 15*j Let a(h) = h**3 - 6*h**2 - 6*h - 15. Let k(s) = s - 3. Let u(x) = -2*x**3 + 11*x**2 + 15*x + 17. Let p(j) = -4*k(j) + u(j). Determine -11*a(w) - 6*p(w). w**3 - 9 Suppose -3*p - 1113 = -1119. Let a(y) = 15*y**2 - 2. Let b(j) = 1139*j**2 - 153. Calculate p*b(t) - 153*a(t). -17*t**2 Let b(y) = 9*y**2 - 3*y + 6. Let d(f) = -2*f - 1. Calculate -b(z) - 5*d(z). -9*z**2 + 13*z - 1 Let k(c) = -10*c**2 - 4*c + 4. Let z(b) = 110*b**2 + 63*b - 51. Let p(s) = 220*s**2 + 129*s - 103. Let h(f) = 6*p(f) - 13*z(f). Calculate -4*h(t) + 45*k(t). -10*t**2 Let a(c) = c + 1. Let v = 48 - 39. Let q(b) = -3 + 2 + v*b - 14*b + 2*b. Give -4*a(h) - 2*q(h). 2*h - 2 Let i(c) = 3*c**2 + 7*c + 1. Let v(d) = 10*d**2 + 24*d + 4. Let b(p) = 7*i(p) - 2*v(p). Let s(z) = -3*z**2 - 7*z + 7. Give -14*b(g) - 2*s(g). -8*g**2 Let d(x) = 2*x + 8. Let u(z) = 16 + 6 + z + 7 - 24. Determine 5*d(y) - 8*u(y). 2*y Let o(j) = 4*j - 2. Suppose -2*l - 8 = -5*h, -10 = 2*h - 7*h. Suppose 348 = k - 2*g + 347, -g = -5*k + 5. Let w(p) = -p. Give k*o(f) + l*w(f). 3*f - 2 Let k(v) be the first derivative of v**3/3 - 56. Let a(b) = -b**3 - 4*b**2. What is -a(t) - 3*k(t)? t**3 + t**2 Let m(r) = 66*r**3 + 27*r**2 + 66*r. Let o(z) = -189*z + 972. Let b be o(5). Let s(x) = -5*x**3 - 2*x**2 - 5*x. What is b*s(v) + 2*m(v)? -3*v**3 - 3*v Let c(g) = -6*g**3 - 11*g + 11. Let a(n) = n**3 - 6*n. Let q(s) = s**3 - 2*s - 1. Let b(v) = -3*a(v) + 6*q(v). Determine 11*b(l) + 6*c(l). -3*l**3 Let h(l) be the third derivative of -13*l**5/60 - 17*l**4/24 + 3*l**3/2 + 2*l**2 + 6. Let q(j) = -7*j**2 - 9*j + 5. Give 6*h(i) - 11*q(i). -i**2 - 3*i - 1 Let d(y) = -4*y**2 + 4*y - 4. Let n(p) = p**3 - p**2 + p - 1. Let w = 50 - 47. Suppose w*u + 24 = 2*u + 5*s, -4*s = 4*u. Determine u*n(m) + d(m). -4*m**3 Let x(y) be the second derivative of -3*y**5/20 - 11*y**2/2 + 11*y. Let j(c) be the first derivative of x(c). Let i(m) = 4*m**2. Give 14*i(p) + 6*j(p). 2*p**2 Let h(j) be the first derivative of -5*j**2/2 + j - 13. Let m(n) = -3*n - 2 - 5*n + 4*n + 3. Give -3*h(i) + 4*m(i). -i + 1 Let w(n) = -3*n**2 + 9*n. Let u(c) = -c**2 + c - 1. Let y(v) = -v**2 - 2*v - 2. Let o(k) = -2*u(k) + y(k). Suppose 45 = -3*g + 18. Give g*o(j) - 4*w(j). 3*j**2 Let o(x) = x + 1. Let d(q) = q - 7. Let i be d(8). Let t = 103 - 104. Let s(w) be the first derivative of w**2 - w - 1. Determine i*s(b) + t*o(b). b - 2 Let b(a) be the second derivative of -5*a**4/12 - a**3 + 9*a**2/2 + a - 40. Let j(s) = -6*s**2 - 7*s + 10. Determine 7*b(h) - 6*j(h). h**2 + 3 Let f(w) = 14*w**3 - 2*w**2 - 15*w - 39. Let h(m) = -2*m**3 + 5*m. Determine -f(n) - 3*h(n). -8*n**3 + 2*n**2 + 39 Let c(p) = 8*p**2 - 11*p + 88. Let u(g) = -7*g**2 + 9*g - 87. Calculate 5*c(w) + 6*u(w). -2*w**2 - w - 82 Suppose -3*u + 11 + 1 = 0. Let n(s) = -s**2. Let y(r) = -8*r**2 - 7*r. Let k(x) = -2*n(x) - y(x). Let t(f) = -3*f**2 - 2*f. Calculate u*k(p) + 14*t(p). -2*p**2 Let p = 287 - 304. Let g(o) = 8*o**3 - 17*o**2 - 17*o + 17. Let d(m) = -3*m**3 + 6*m**2 + 6*m - 6. Give p*d(a) - 6*g(a). 3*a**3 Let g = -293 + 295. Let r(w) be the third derivative of 0*w - 7*w**g + 1/2*w**3 + 0 + 3/8*w**4. Let a(t) = -4*t - 1. Calculate 5*a(b) + 2*r(b). -2*b + 1 Let c(l) = 3758515 - 2*l**2 - 3*l - 3758515. Let n(y) = 3*y**2 + 5*y. Let i be 0 + -1 + 3/3. Suppose i = -r + 1, 4*p + 3*r = 11 + 4. Determine p*n(k) + 5*c(k). -k**2 Let g be (-2)/(-8)*(-7 + -5). Let w(d) = -11*d**2 - 6*d - 11. Let c(p) = 5*p**2 + 3*p + 5. What is g*w(o) - 7*c(o)? -2*o**2 - 3*o - 2 Let l(c) be the second derivative of c**4/12 + c**3 + 3*c**2 - 2*c. Let k be l(-6). Let t(s) = -s + 2. Let m(y) = 2*y - 4. Give k*m(h) + 13*t(h). -h + 2 Let k(r) = 2*r**2 - r - 8. Let u(l) = -l**2 + 9. Let x(f) = -3*k(f) - 2*u(f). Let i(j) = j**2 - j - 1. Determine -6*i(n) - x(n). -2*n**2 + 3*n Let p(s) = s**3 - 2*s**2 - 2*s - 7. Let o(c) = c**3 - 2*c**2 - 2*c - 6. Suppose -4*v = -3*z + 34, -v - z + 5 = 10. Determine v*o(b) + 6*p(b). -b**3 + 2*b**2 + 2*b Let w(h) = -h**2 - 6*h - 11. Let b(j) = -j**2 - 8*j - 16. Let x(l) = 5*b(l) - 7*w(l). Let a(m) = -3*m**2 - 3*m + 5. What is 3*a(c) + 5*x(c)? c**2 + c Let v(h) = 6*h**3 + 5*h**2 - 5*h + 5. Let k(q) = 3*q**3 + 3*q**2 - 3*q + 3. Let g be (-5)/(-1) + (-1)/(-1). What is g*v(y) - 10*k(y)? 6*y**3 Let g(a) = 6*a. Let s(w) = -2*w + 16. Let v be s(8). Let z(o) = v*o - 7*o - o + o. Determine 5*g(p) + 4*z(p). 2*p Let y(b) = 11*b**2 + 13*b - 7. Let d(t) = 5*t**2 + 6*t - 3. Suppose 19*i - 84 - 49 = 0. Give i*d(r) - 3*y(r). 2*r**2 + 3*r Let l(j) = -2*j**2 + 0 - j - 4*j - 5. Let u(r) = -r**2 - 2*r - 2. Let g(x) = x**2 + 39*x - 548. Let o be g(-50). Determine o*l(v) - 5*u(v). v**2 Let x(p) = -14*p**2 - 15*p + 27. Let c(w) = 15*w**2 + 14*w - 30. Let z(r) = -2*c(r) - 3*x(r). Let m(h) = -3*h**2 - 4*h + 5. Calculate -9
{ "pile_set_name": "DM Mathematics" }
t: -4682, -4681, -4680, -4679, -4678? -4677 What is next in 42, 137, 392, 885, 1694, 2897? 4572 What is next in 47, 86, 125? 164 What comes next: -44, -55, -66? -77 What comes next: 90, 171, 254, 339, 426, 515, 606? 699 What is the next term in -49, -58, -65, -70, -73? -74 What comes next: 35, 53, 87, 143, 227? 345 What is next in 435, 3561, 12049, 28581, 55839, 96505, 153261? 228789 What is the next term in 14, 85, 212, 401, 658? 989 What is next in 22, 65, 128, 205, 290, 377, 460, 533? 590 What is next in 0, 2, 2, 0? -4 What comes next: 279, 286, 289, 282, 259, 214? 141 What comes next: -51, -60, -73, -90? -111 What is the next term in 16, 146, 504, 1204, 2360, 4086, 6496? 9704 What comes next: 2578, 2581, 2584, 2587, 2590? 2593 What is the next term in 26, 98, 218, 386, 602, 866, 1178? 1538 What is the next term in 58, 100, 192, 352, 598, 948, 1420? 2032 What is next in -31, -136, -311, -556, -871? -1256 What is next in -32, -34, -28, -8, 32, 98? 196 What comes next: -20639, -20636, -20633, -20630, -20627? -20624 What comes next: -167, -378, -579, -764, -927, -1062? -1163 What comes next: 110, 412, 916, 1622, 2530, 3640, 4952? 6466 What comes next: 67, 139, 211? 283 What is next in -714, -1492, -2280, -3084, -3910, -4764, -5652, -6580? -7554 What is next in -7, -32, -73, -130, -203, -292, -397? -518 What is next in 0, -3, -8, -15, -24, -35? -48 What is next in -375, -749, -1123, -1497? -1871 What comes next: -4096, -8199, -12302? -16405 What is the next term in 360, 348, 336, 324, 312? 300 What is next in -143, -266, -403, -560, -743, -958, -1211? -1508 What comes next: 755, 777, 789, 785, 759, 705, 617? 489 What comes next: 21, 47, 81, 123, 173, 231, 297? 371 What comes next: 74, 157, 242, 329, 418, 509? 602 What is the next term in 326, 1320, 2976, 5294, 8274? 11916 What is next in 7, -3, -35, -101, -213, -383? -623 What is the next term in -1, -5, -9, -13, -17, -21? -25 What is next in -4, -19, -40, -73, -124, -199? -304 What comes next: -3, -13, -21, -21, -7, 27, 87? 179 What is next in -57, -117, -185, -261, -345? -437 What comes next: -1068, -1065, -1054, -1029, -984, -913, -810, -669? -484 What comes next: 6, 20, 34, 42, 38, 16, -30, -106? -218 What is the next term in 58, 126, 206, 298, 402, 518? 646 What is the next term in -82, -157, -230, -301, -370? -437 What is the next term in 671, 665, 659, 653, 647, 641? 635 What is the next term in -50, -102, -142, -164, -162? -130 What is next in 68, 109, 150, 191? 232 What comes next: -2588, -5172, -7752, -10328, -12900? -15468 What is next in 2, -21, -60, -109, -162? -213 What comes next: 172, 177, 182, 187, 192, 197? 202 What is the next term in 55, 79, 89, 79, 43? -25 What is next in 4, 46, 158, 376, 736, 1274, 2026, 3028? 4316 What comes next: 1208, 1206, 1204, 1202? 1200 What is the next term in -257, -529, -801, -1073, -1345, -1617? -1889 What is the next term in 66, 81, 106, 141? 186 What is the next term in -5, 51, 131, 223, 315? 395 What is next in 3, 9, 7, -9, -45? -107 What is the next term in 29536, 29535, 29534, 29533, 29532, 29531? 29530 What comes next: 16, 330, 1184, 2848, 5592, 9686, 15400, 23004? 32768 What comes next: -2, -245, -908, -2201, -4334, -7517? -11960 What is the next term in 16056, 16054, 16052, 16050, 16048, 16046? 16044 What comes next: -33, -27, -21, -15, -9, -3? 3 What is the next term in 915, 1830, 2745, 3660, 4575, 5490? 6405 What is next in -124, -130, -140, -154, -172, -194, -220? -250 What comes next: 5, -19, -65, -139, -247? -395 What is the next term in -8850, -17699, -26548, -35397, -44246? -53095 What is the next term in 1728, 3455, 5182, 6909, 8636, 10363? 12090 What comes next: -438, -439, -442, -447? -454 What comes next: 329, 330, 333, 338, 345? 354 What is next in 33, 53, 73, 93, 113? 133 What is the next term in 4, 23, 68, 151, 284? 479 What is next in -41, -33, -23, -11, 3, 19? 37 What is the next term in 1175, 1180, 1187, 1196, 1207, 1220? 1235 What is the next term in -373, -747, -1131, -1525? -1929 What is the next term in -7, -30, -77, -154, -267? -422 What is next in 11105, 11106, 11107? 11108 What is next in 5, 34, 39, 8, -71? -210 What comes next: -3691, -7387, -11083, -14779? -18475 What comes next: -1, 103, 277, 521, 835, 1219? 1673 What is the next term in 303, 605, 907, 1209? 1511 What is next in -239, -241, -245, -251? -259 What is next in -14, -52, -116, -206, -322, -464, -632? -826 What comes next: 22, 68, 136, 226, 338? 472 What comes next: 361, 358, 357, 358, 361, 366? 373 What comes next: 32, 39, 48, 65, 96, 147? 224 What comes next: 723, 2905, 6543, 11637, 18187, 26193, 35655? 46573 What is the next term in -2, -8, -10, -8? -2 What comes next: 4006, 4017, 4042, 4087, 4158? 4261 What is the next term in 17, 36, 55, 74? 93 What is next in 21, 75, 163, 285, 441, 631, 855? 1113 What is next in -483, -482, -481, -480, -479, -478? -477 What comes next: -181, -359, -537, -715? -893 What is the next term in 1464, 1467, 1470, 1473? 1476 What is the next term in -305, -287, -259, -215, -149, -55, 73, 241? 455 What comes next: 28, 50, 78, 118, 176, 258, 370? 518 What is next in -91, -183, -275, -367, -459, -551? -643 What is next in 213, 418, 621, 822, 1021, 1218, 1413? 1606 What is next in 7, -19, -83, -203, -397? -683 What comes next: 8, 12, 6, -16, -60, -132, -238? -384 What is next in 8, 21, 46, 89, 156, 253, 386, 561? 784 What is next in 51, 90, 127, 162, 195, 226, 255? 282 What is next in 21, 17, 7, -9? -31 What is next in 84, 163, 242? 321 What is next in 367, 727, 1077, 1411, 1723, 2007, 2257, 2467? 2631 What is the next term in -460, -462, -464, -466? -468 What is the next term in -45, -151, -317, -543? -829 What comes next: 30, 0, -78, -228, -474? -840 What is next in -17995, -17998, -18011, -18040, -18091, -18170? -18283 What is the next term in -60, -60, -68, -90, -132, -200, -300, -438? -620 What comes next: 9, 32, 83, 174, 317, 524, 807? 1178 What is the next term in 177, 178, 181, 186, 193? 202 What is next in -20840, -20838, -20834, -20828? -20820 What comes next: -1078, -1070, -1050, -1012, -950, -858? -730 What is next in 11, 12, 17, 26, 39? 56 What is next in -1197, -4797, -10809, -19239, -30093, -43377, -59097? -77259 What is the next term in 74, 131, 188, 245, 302? 359 What comes next: -162, -167, -186, -225, -290, -387, -522? -701 What comes next: 48, 57, 72, 93, 120, 153? 192 What is the next term in 29, 132, 303, 542, 849? 1224 What comes next: -202, -334, -468, -604? -742 What is next in 53, 60, 65, 68, 69, 68, 65? 60 What is next in 27, 52, 85, 132, 199? 292 What is next in 561, 559, 557, 555, 553, 551? 549 What is the next term in 6, 49, 132, 261, 442, 681? 984 What comes next: 696, 694, 692, 690? 688 What comes next: 5515, 5518, 5521, 5524, 5527? 5530 What is next in -9, 67, 191, 363? 583 What is the next term in 53, 36, 19, 2? -15 What is the next term in 70, 81, 110, 163, 246, 365, 526? 735 What is the next term in -136, -262, -388, -514, -640? -766 What is next in -52, -372, -1242, -2938, -5736, -9912? -15742 What is next in -1135, -1135, -1133, -1129, -1123, -1115, -1105? -1093 What is next in 1038, 1035, 1032, 1029, 1026, 1023? 1020 What is the next term in -338, -342, -348, -356, -366? -378 What comes next: 52, 197, 438, 775? 1208 What is the next term in -11, -29, -73, -155, -287, -481? -749 What is next in 6063, 6067, 6073, 6081? 6091 What is next in 68, 67, 66? 65 What is next in 56, 64, 76, 92, 112? 136 What comes next: -79, -141, -181, -187, -147, -49, 119, 369? 713 What is the next term in -2557, -2553, -2545, -2533? -2517 What is the next term in -16, -5, 12, 35, 64, 99, 140? 187 What comes next: -94, -188, -282, -376, -470? -564 What is the next term in 116, 94, 72? 50 What is next in -45285, -45288, -45293, -45300, -45309? -45320 What is next in -64, -72, -78, -76, -60, -24, 38? 132 What is next in -49, -71, -109, -169, -257, -379? -541 What comes next: 7, -3, -35, -101, -213, -383, -623? -945 What is next in 285, 361, 441, 525, 613, 705? 801 What comes next: 1126, 1135, 1144, 1153? 1162 What is next in 138, 277, 418, 561, 706, 853, 1002? 1153 What is the next term in 639, 1282, 1925, 2568, 3211? 3854 What comes next: 302, 594, 872, 1130, 1362, 1562? 1724 What is the next term in -147,
{ "pile_set_name": "DM Mathematics" }
.2+0.72 -9658.48 Work out 0.1 + 402.89. 402.99 Add together 1 and 7664.83. 7665.83 Subtract 1056 from 0.1. -1055.9 What is -19.1214 - -0.3? -18.8214 Add 0 and -430.45. -430.45 What is 1131.3 minus 0.1? 1131.2 What is 0.4 less than 1265? 1264.6 3 + 34630 34633 What is 0 plus -0.0077? -0.0077 What is 358 - 16? 342 Calculate -3 + 0.2322247. -2.7677753 186 + -59 127 Subtract -1362852 from 0.3. 1362852.3 Subtract 4.546 from 0.252. -4.294 What is the difference between -0.5 and 12.5938? 13.0938 What is -2.2 take away 7353? -7355.2 What is 1068 - -129? 1197 Calculate -101.14 - 20. -121.14 What is -0.28507 - -0.04? -0.24507 What is 3.093 take away -0.4? 3.493 What is 108.48 plus 0.3? 108.78 Work out 453.8 + 1.051. 454.851 What is 61.9 + 3? 64.9 What is 2130.2 plus -0.1? 2130.1 What is the distance between 5 and 5721980? 5721975 What is -7.718 - 0.5? -8.218 Calculate -1.1 - -1973. 1971.9 What is the difference between 27 and 0.09? 26.91 -0.2+17206 17205.8 What is -20.89013 + 0.3? -20.59013 What is 235 minus 1084? -849 What is -1434531 - -4? -1434527 What is the difference between 406454 and 0.2? 406453.8 Sum -0.172 and -0.329. -0.501 What is -5 + 13? 8 Total of -0.122 and -1630. -1630.122 What is -22 take away -2.4? -19.6 Calculate 25862 + 1.3. 25863.3 Put together 0.2307 and 0.2. 0.4307 Calculate 0 - 0.1305. -0.1305 -58 - -13.858 -44.142 -159 + 34 -125 Subtract -190892 from -0.2. 190891.8 What is 253 + 3422? 3675 Subtract -0.4 from -11319. -11318.6 Calculate -0.2 + 0.283. 0.083 Sum 0.5 and -0.247. 0.253 What is -23.46 - 0.1? -23.56 Subtract 0.9 from 0.05. -0.85 Sum -0.2 and 1604. 1603.8 What is 2 + 336? 338 What is the distance between -0.0509 and 0.4? 0.4509 Calculate -800 + 3194. 2394 Subtract 3575 from 12. -3563 What is -2 take away 60570? -60572 Work out -0.2 - 630. -630.2 What is -5 plus -1360? -1365 Calculate -5023.9 - -4. -5019.9 What is 0.2 less than -1842781? -1842781.2 Put together -0.21 and -6.71. -6.92 Subtract 0.1165 from 0. -0.1165 Put together -0.005 and -0.17. -0.175 What is -11 less than 0.19? 11.19 0.0747+-0.1699 -0.0952 What is the distance between 302 and 7? 295 Work out 11 + -7.0966. 3.9034 Sum -200 and -0.5. -200.5 -1735+225 -1510 Work out 17 + 20. 37 Work out -9 - 0.78129. -9.78129 Subtract 0.216 from -8.3. -8.516 Add together -15 and -4222. -4237 Subtract 16353 from -1.58. -16354.58 Calculate -0.2 - 0.178. -0.378 What is the distance between 2502 and -0.1? 2502.1 What is -0.1 less than 0.057168? 0.157168 What is 121 less than 0.003? -120.997 What is the difference between -3456 and -4? 3452 What is 84 plus -0.01? 83.99 What is -6 + -476? -482 Total of 93 and -42. 51 Total of 263 and 199.5. 462.5 What is 759 less than 6? -753 What is the difference between -0.165 and 45? 45.165 29.5+2 31.5 6 - 1716 -1710 What is -194 take away 0.12326? -194.12326 Put together -1176166 and 3. -1176163 What is the distance between -0.5 and -609? 608.5 Sum -157 and 97.17. -59.83 -11.1 - -3 -8.1 What is 99.43 - -37? 136.43 Add together 434 and -0.4. 433.6 Total of 10623 and -5. 10618 -1 + 620 619 Total of 0.612 and 1. 1.612 -0.5+-332814 -332814.5 Total of 967 and 303. 1270 What is 0.5 plus -57? -56.5 Sum -4478513 and -2. -4478515 What is -25361 take away 0? -25361 Work out 0.04 - -1476. 1476.04 Calculate 4206 - -4. 4210 What is the distance between -8428 and 0.3? 8428.3 Add 805 and 3.949. 808.949 Total of -43 and -52.436. -95.436 3 + -1035 -1032 What is 4 minus -94.1? 98.1 What is -98 - 43? -141 Add together 2036 and 0.3. 2036.3 What is 2 less than -385? -387 What is 1509 take away -4? 1513 Put together -85.71 and -4. -89.71 What is 0.4 - -1.448? 1.848 Total of -0.041 and -389. -389.041 Add together -454.76 and 1.1. -453.66 What is -1 take away -11.25? 10.25 -0.93893 + 3 2.06107 Work out -2 - -88338. 88336 What is 15374 less than 10? -15364 Calculate -19 + 0.23. -18.77 Total of -11.2 and 1811. 1799.8 What is -0.148 - 2.6? -2.748 What is -470415 - -1? -470414 Add together -9.1 and -0.28. -9.38 Total of -0.5 and 16.0732. 15.5732 What is the distance between 3 and 0.031? 2.969 What is the difference between 74539 and 0.1? 74538.9 Put together -0.05 and -63. -63.05 What is 28.45 + -0.26? 28.19 What is -3.05 take away -2? -1.05 Add together 2220 and -2692. -472 Work out 10.6 + 0.02. 10.62 Put together 2313 and -1740. 573 Work out 1 - -248320. 248321 What is -12231 + 1? -12230 What is 1603 - -5? 1608 Put together -0.381 and 0.1029. -0.2781 What is -0.4 + 654.1? 653.7 Total of -11146091 and 0.5. -11146090.5 What is the difference between -0.5 and 1170? 1170.5 Add 3253 and -0.67. 3252.33 What is 29979 + -0.3? 29978.7 What is the difference between 19398 and -0.2? 19398.2 Calculate -0.457 + 74. 73.543 What is 6503 minus 1.6? 6501.4 -0.3+-295.4 -295.7 Subtract 2 from 0.0624. -1.9376 What is the difference between 59.2 and -98? 157.2 Work out 0.4 - 2374. -2373.6 What is -5 - 0.1106? -5.1106 What is 4.45241 plus 1? 5.45241 Sum 3935 and -0.5. 3934.5 -0.5458 - -1.1 0.5542 What is the distance between -51526 and -1? 51525 What is the difference between -0.8769 and 0.3? 1.1769 Add together 0.3 and -37. -36.7 Total of 61 and 0.029. 61.029 Subtract 17 from 1.11. -15.89 What is -3.2 less than -128.465? -125.265 Work out 0.333 - 1.35. -1.017 -4598 + -29 -4627 What is -0.3 + 11.76? 11.46 Calculate 44859 - -0.4. 44859.4 What is -0.3 - 469270? -469270.3 What is -1.6854 - 4? -5.6854 What is 234 less than -30? -264 Work out 565 - -355.23. 920.23 Work out -0.0986 + -19. -19.0986 Work out -0.232 - 0.044. -0.276 What is the difference between -15342 and -4? 15338 What is 0.27 less than -143.07? -143.34 Sum 11.61 and 2.2. 13.81 Add together -275 and -43. -318 Calculate -26.85 + 6. -20.85 What is 3829 take away -1? 3830 -209.94 - 0.34 -210.28 Add together -496 and -5.3. -501.3 Work out -4 + -136619. -136623 Total of -0.007999 and 0.8. 0.792001 What is -0.15 - 120682? -120682.15 Work out -70 - 4.4. -74.4 Total of -1 and -0.07081. -1.07081 Subtract -7 from 0.539. 7.539 What is 0.05916 + -78? -77.94084 Put together 0.1379 and 19. 19.1379 What is 8 take away -44502? 44510 Sum 6 and 5905. 5911 Sum -4160 and 0.2. -4159.8 What is the distance between 1069 and -11? 1080 What is the distance between -199 and -0.1? 198.9 What is the difference between 0.35 and -1.5? 1.85 Subtract 6.9637 from 1. -5.9637 Work out -0.0588 - 0.3747. -0.4335 What is the distance between 72 and -50? 122 -20129 + -0.5 -20129.5 What is -605723 plus -5? -605728 What is -5264 less than -69? 5195 What is the distance between 1 and 239? 238 Work out 0.3 - -103.33. 103.63 What is 12 take away -1785? 1797 Calculate -0.433 + 4.2. 3.767 What is the difference between 15187 and 28? 15159 Work out 0.097 - -1440. 1440.097 Calculate 1.14 - 1. 0.14 Subtract 0.133 from -4.2. -4.333 What is 2.57 - 4? -1.43 What is 4 plus -2291? -2287 What is 3.63 plus 0.164? 3.794 Calculate -1 - 1754.2. -1755.2 Subtract 0.131 from -0.0169. -0.1479 Add 0.1 and -46. -45.9 Work out -1.24 + 204. 202.76 What is the distance between 0.02 and -12858.2? 12858.22 Subtract 1 from -84291. -84292 Subtract -0.12 from -289. -288.88 Total of 1410 and -5. 1405 Calculate -1.1312 - 0. -1.1312 2+-225.7 -223.7 What is 1403 less than -202? -1605 What is -276002 - 0? -276002 Add -0.05 and -9011.7. -9011.75 -0.105 + 2 1.895 What is -3476 + -5? -3481 What is 2 - 207.884? -205.884 Calculate 0.1 - 142.787. -142.687 Total of -280.938 and 14. -266.938 Calculate -26530 + -0.1. -26530.1 Add -236 and -37284. -37520 What is 15975 + -0.5? 15974.5 What is -0.5 minus -672371? 672370.5 -0.031124 - 0.2 -0.231124 Sum -8700 and 3. -8697 Add -11 and 169. 158 What is -3 less than -6981? -6978 What is -277 minus 228? -505 Put together -5225 and 0.74. -5224.26 1.5 - 3300 -3298.5 Subtract -129.39 from -55. 74.39 Add -2 and -50.96. -52.96 What is the distance between 261 and 4? 257 What is 4 minus 0.0231? 3.9769 What is -0.0318 + -0.06? -0.0918 Work out -373 + -42. -415 What is 1.9 + 519? 520.9 Put together -549.1 and 317. -232.1 What is 76684 - -1? 76685 Work out -479 - -126.8. -352.2 Sum -28 and -0.6. -28.6 Add together 0.3 and 81. 81.3 What is 988 take away -0.135? 988.135 What is 0.4 less than -0.687? -1.087 What is -0.06 minus -40.7? 40.64 0.1+517.82 517.92 What is the distance
{ "pile_set_name": "DM Mathematics" }
ve of 5*h**4/24 + h**3/2 + h**2. Calculate the remainder when f(5) is divided by ((-15)/9)/(-4 + (-70)/(-18)). 13 Let k(n) = -n**3 - 5*n**2 - n + 6. Let m be k(-6). Suppose 7*y - m = -y. Let p(d) = -3*d - 8. Calculate the remainder when p(-7) is divided by y. 1 Suppose -20 = -4*z - 4*h, -h = -3*z - 5*h + 17. Suppose t + 24 = z*t. Let v = 1105 + -1058. Calculate the remainder when v is divided by t. 11 Let z = 6 - -7. Let l = -19807 + 19844. Calculate the remainder when l is divided by z. 11 Let l = 35 - 101. What is the remainder when 6 is divided by (-60)/(-33) - 12/l? 0 Let x(j) = 3*j + 1. Let c be x(6). Suppose 3*n - 5*k - c = 0, n + 15 = 6*n - 5*k. Calculate the remainder when 41 is divided by (-5 - n - -18) + -4. 8 Suppose 4*t - 3*h = 19, -2*t - 11 = -6*t - 5*h. Suppose t*j - 108 = -2*r, 5*j + 56 - 209 = 2*r. Calculate the remainder when j is divided by 4. 1 Let t(a) = 6*a**2 - 25*a + 67. What is the remainder when t(3) is divided by 12? 10 Let u(x) be the third derivative of x**4/12 + 12*x**2. Calculate the remainder when u(11) is divided by 15. 7 Let s = 21 - 9. Calculate the remainder when 68 is divided by s. 8 Let k = 1626 + -1599. What is the remainder when 68 is divided by k? 14 Suppose 243*h - 248*h + 835 = 0. Suppose -z + 3*v + 36 = 5*v, 0 = 3*z + 4*v - 114. Calculate the remainder when h is divided by z. 41 Let r(h) = -19*h + 67. Calculate the remainder when r(-2) is divided by 28. 21 Let s(u) be the first derivative of u**2/2 + 10*u + 1. Let n be s(15). Let d = -13 + n. What is the remainder when d is divided by 5? 2 Let w(t) = -t**3 - 70*t**2 - 71*t - 3. What is the remainder when w(-69) is divided by 59? 17 What is the remainder when (390/(-105))/((-80)/(-28) + -3) is divided by 17? 9 Let z(v) = 2*v**2 - 29*v - 274. What is the remainder when z(-9) is divided by 23? 11 Let i be 1/(-2)*(-13 - 1). Suppose 0 = -2*z + 2*b + 28, b = i*z - 3*z - 65. Suppose -7*k + 88 = -4*k + 19*k. What is the remainder when z is divided by k? 1 Suppose 0 = 20*o + 7*o - 540. What is the remainder when o is divided by 8? 4 Let j be (3 + -3)*(-2)/2. Suppose -3*g - 20 - 28 = j. Let t = -2 - g. What is the remainder when t is divided by 9? 5 Let v = 164 + -121. Suppose -5*i - 6 = -1. Calculate the remainder when v is divided by -1 + i - (-20 + 3). 13 Suppose 528 - 144 = 6*q. Calculate the remainder when q is divided by 21. 1 Let h = -11 - -4. Let n be (h/14)/(2/(-924)). Suppose 4*f + 3*m = -29 + n, -3*m = -2*f + 92. Calculate the remainder when f is divided by 13. 10 Let l = 192 + -178. Calculate the remainder when l is divided by 11. 3 Let l = -30 + 50. Calculate the remainder when 93 is divided by l/(-40)*-12*4. 21 Calculate the remainder when 139 is divided by (-176)/(-5) - (-5)/(-75)*3. 34 Suppose 0 = 39*s + 2576 - 13379. What is the remainder when s is divided by 94? 89 Suppose -c = -2*y - 44, -26*y + 30*y = -c + 56. What is the remainder when 575 is divided by c? 47 What is the remainder when (14 - 11)*1*634/6 is divided by 106? 105 Let s = -171 - -181. What is the remainder when 27 is divided by s? 7 Let y = 76 + -68. Suppose f = -3*l + 1, 5*f - 33 = 5*l - y. What is the remainder when 21 is divided by f? 1 Suppose q = 3*f - q - 67, 49 = 2*f + 3*q. Let v be (-4)/(-2) - (0 - -2). Suppose p = f - v. Calculate the remainder when 45 is divided by p. 22 Suppose -131*x + 80*x + 204 = 0. Calculate the remainder when 209 is divided by x. 1 Let v = 1178 - 644. Calculate the remainder when v is divided by 131. 10 Let y(z) = -9*z + 3. Let w be y(-2). Suppose k - 8 - w = 0. Let s = 51 - k. Calculate the remainder when s is divided by 6. 4 Let u(c) = 3*c - 10. Let x be u(4). Let i(v) = 2*v**2 - 4. Suppose 20 = -10*t + 12*t. Calculate the remainder when t is divided by i(x). 2 Suppose 5*u - 44 = 3*u. Suppose -10*z + u = -58. What is the remainder when z is divided by 5? 3 Let f = -56 + 71. Suppose -2*b + 23 = q - 7*b, 0 = -3*q - 3*b + f. What is the remainder when 70 is divided by q? 6 Let a(f) = -4*f**3 - 156*f**2 + 18. Suppose -2*m - 42 = -3*p + 2*m, -p + 16 = -2*m. What is the remainder when a(-39) is divided by p? 8 Suppose a - 89 = -2*j - 0*a, 132 = 3*j + 2*a. What is the remainder when 271 is divided by j? 41 Suppose x - 17 = -5*i, 32 = 5*i - 4*x - 0*x. Suppose 3*a - i*u + 91 = 0, 0 + 59 = -3*a - 4*u. Let m = a - -94. Calculate the remainder when m is divided by 18. 15 Let m(s) = -s**3 + 8*s**2 - 11*s + 8. Suppose 3*b + 33 = 5*f, -1 = -3*b - 4. What is the remainder when 122/5 + (-4)/10 is divided by m(f)? 10 Let l(g) be the third derivative of -g**4/6 - 17*g**3/6 - 11*g**2. Calculate the remainder when 19 is divided by l(-7). 8 Let a(d) = -6 + 15 - 5*d + 12*d. Calculate the remainder when a(10) is divided by 27. 25 Suppose -2*h = -6*h - 4*c + 32, 76 = 5*h - 4*c. Let w(x) = -14*x - 48. Calculate the remainder when h is divided by w(-4). 4 Let a = -607 + 614. Calculate the remainder when a is divided by 3. 1 Let u(y) = -y - 2*y**2 - 5*y + 12 + 5*y**2 - 1. Let x be 40/15*(-2)/(8/(-6)). What is the remainder when u(x) is divided by 13? 9 Suppose 92*d - 96*d + 16 = 0. Suppose 0 = -2*q + d*s + 62, -q - 4*s + 7 = -6. What is the remainder when q is divided by 6? 1 Let q(d) = d**2 - 7*d - 7. What is the remainder when q(-10) is divided by 49? 16 Suppose 0 = -2*c + c - 5*z - 28, -3*c - 5*z = 114. Let v = c + 53. Calculate the remainder when 48 is divided by v. 8 What is the remainder when (-1)/2*6 + 69 is divided by (408/(-32))/((-3)/4)? 15 Let r(b) = 3*b - 4. Let y(z) = 6*z**3 - 2*z**2 + 2*z - 1. Let v = 22 - 21. Let n be y(v). What is the remainder when r(n) is divided by 6? 5 Suppose -t - p + 709 = 0, -2*p - 2129 = -3*t - 7*p. What is the remainder when t is divided by 71? 69 Calculate the remainder when 70 is divided by 16/(-8)*(4 - (6 - -4)). 10 Suppose 3*p - 5*t = -6, -3*t + 8*t - 15 = 0. Suppose 5*j = 3*n + 89, p*j + 38 = 5*j - 2*n. Calculate the remainder when j is divided by 6. 4 What is the remainder when 1*3*(-250)/(-6) is divided by (76/19)/(18/16 + -1)? 29 Let l be (1 - (-3 - -2)) + -31. Let s = -102 + 78. Let j = s - l. What is the remainder when j is divided by 4? 1 Suppose -5*c + 4*d - 3*d + 20 = 0, 2*d = 0. Suppose -c = -y - 0. Suppose -11 = 3*v - y*v. Calculate the remainder when 30 is divided by v. 8 Suppose 6*v - 5*v = 2*h - 115, 4*h - v - 233 = 0. Calculate the remainder when h is divided by 50. 9 Let r = -17 + 11. Let s = r + 7. What is the remainder when (0 - -1)*57*s is divided by 15? 12 Let x = 1648 + -757. What is the remainder when x is divided by 150? 141 Suppose 0 = -5*h - l + 209, 5*h - 3*h = 4*l + 66. Calculate the remainder when 327 is divided by h. 40 Suppose -2*z - 3*s = -735, z + 3*z + s = 1455. Calculate the remainder when z is divided by 39. 12 Let k be (-260)/(-25) - (-2)/(-5). Let q(l) = -l**2 + 2*l - 2 + 4*l - k*l. What is the remainder when q(-2) is divided by 1? 0 Suppose 0 = 5*m - 2*d + 82, 2*d - 25 = m - 7. Let l = m + 18. Suppose -3*x + 45 = l*x. Calculate the remainder when 24 is divided by x. 6 Let h = 228 + -213. What is the remainder when h is divided by 6? 3 Suppose 18*y - 496 + 64 = 0. What is the remainder when 47 is divided by y? 23 Suppose 4*a = -0*a, -3*g + 5*a = -261. What is the remainder when 256 is divided by g? 82 Let m = 28 - 14. What is the remainder when 335 is divided by m? 13 Let z = -27 + 50. Let k(p) = 117*p - 683. What is the remainder when k(7) is divided by z? 21 Suppose 0 = d - 2. Suppose x - d*x = -30. Let o(g) = -16*g - 40. What is the remainder when x is divided by o(-3)? 6 Suppose 5*z = 5*k - 965, -k = 9*z - 7*z - 196. What is the remainder when k is divided by 42? 26 Let j be (-6)/(-12)*(1 + 25). Suppose -25 - j = -2*c. Calculate the remainder when c is divided by 11. 8 Suppose 68 = h + 2*n, 3*n = -2*h + 7*n + 144. What is the remainder when h is divided by 12? 10 Let b = 11 + 0. Let s = 196 + -193. Suppose 0 = -s*f + 19 + b. What is the remainder when 27 is divided by f? 7 Let d(q) = 2*q**2 + 28*q - 58. What is the remainder when d(-18) is divided by 15? 11 Let c be (-40)/90*27/(-6). Suppose 0*h - 56 = -2*h + 5*j, -3*h + 62 = -c*j. Calculate the remainder when 106 is divided by h. 16 Suppose 3*k - 59 = -p, 3*k + 17 = -4*p + 64. Let n = 296 + -298. What is the remainder when 42 is d
{ "pile_set_name": "DM Mathematics" }
rom {t: 2, s: 10, g: 6}? 5/136 Calculate prob of picking 1 j, 1 i, and 1 m when three letters picked without replacement from mmjamjmmmmjwi. 21/286 Two letters picked without replacement from fppffpb. What is prob of picking 1 f and 1 b? 1/7 Two letters picked without replacement from tbttbtttt. What is prob of picking 1 t and 1 b? 7/18 Two letters picked without replacement from {x: 4, b: 3, e: 6, u: 1}. Give prob of picking 1 x and 1 u. 4/91 Calculate prob of picking 1 o and 2 q when three letters picked without replacement from {q: 2, o: 1, b: 4}. 1/35 Two letters picked without replacement from {u: 7, p: 2, s: 4, i: 2, g: 2}. Give prob of picking 1 i and 1 g. 1/34 Two letters picked without replacement from lzzzlozhlno. Give prob of picking 2 l. 3/55 Calculate prob of picking 1 u and 2 k when three letters picked without replacement from kuuu. 0 Three letters picked without replacement from {j: 2, q: 8, t: 3, z: 2, d: 2}. What is prob of picking 1 j, 1 z, and 1 q? 4/85 Four letters picked without replacement from {o: 7, q: 5, z: 1, k: 1, r: 4, d: 1}. Give prob of picking 2 r, 1 z, and 1 k. 1/646 Four letters picked without replacement from {n: 6}. What is prob of picking 4 n? 1 What is prob of picking 2 c when two letters picked without replacement from {k: 3, c: 8}? 28/55 Calculate prob of picking 1 j and 2 i when three letters picked without replacement from jiijjsjiijjsiijijij. 84/323 What is prob of picking 1 x and 1 p when two letters picked without replacement from {k: 5, x: 5, f: 4, g: 1, p: 3}? 5/51 Four letters picked without replacement from {o: 5, r: 1, t: 1, m: 3, k: 3}. What is prob of picking 2 m, 1 r, and 1 t? 3/715 What is prob of picking 2 h, 1 r, and 1 s when four letters picked without replacement from {f: 1, z: 1, h: 4, r: 2, s: 1, d: 3}? 4/165 What is prob of picking 4 f when four letters picked without replacement from otctttfffccftttccot? 1/3876 What is prob of picking 3 c when three letters picked without replacement from cycccccbcbbcb? 28/143 Three letters picked without replacement from {j: 2, t: 1, p: 4}. What is prob of picking 3 p? 4/35 Two letters picked without replacement from gkffnngygiynniiyniii. What is prob of picking 2 n? 1/19 Calculate prob of picking 2 z and 2 l when four letters picked without replacement from {z: 2, s: 5, l: 3}. 1/70 What is prob of picking 4 n when four letters picked without replacement from nnynnymnynmn? 7/99 What is prob of picking 2 u and 1 k when three letters picked without replacement from uhhkuihuuih? 2/55 Three letters picked without replacement from {t: 4, n: 7, v: 3}. What is prob of picking 1 n and 2 t? 3/26 Four letters picked without replacement from rrzrrrrzrrzzzr. Give prob of picking 4 z. 5/1001 What is prob of picking 2 a when two letters picked without replacement from {a: 6, m: 1, s: 4, v: 5}? 1/8 What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 11, v: 5}? 11/24 Three letters picked without replacement from {b: 1, u: 1, o: 2, z: 1}. Give prob of picking 1 z, 1 o, and 1 b. 1/5 Four letters picked without replacement from {y: 2, z: 7, d: 9}. What is prob of picking 4 d? 7/170 What is prob of picking 3 z and 1 h when four letters picked without replacement from zbbhbbzjbbbzbb? 1/1001 Four letters picked without replacement from {t: 5, g: 11}. What is prob of picking 1 t and 3 g? 165/364 Calculate prob of picking 1 u and 3 y when four letters picked without replacement from {y: 4, u: 7, t: 5}. 1/65 Four letters picked without replacement from {w: 2, i: 5, t: 3}. What is prob of picking 1 i and 3 t? 1/42 Three letters picked without replacement from ggemegeeeeeeeggeeqe. What is prob of picking 3 g? 10/969 What is prob of picking 1 j, 2 l, and 1 r when four letters picked without replacement from {l: 4, j: 1, r: 4, x: 2}? 4/55 What is prob of picking 1 v, 2 b, and 1 p when four letters picked without replacement from {b: 5, v: 5, n: 1, p: 5}? 25/182 Two letters picked without replacement from {s: 1, f: 6, p: 10}. What is prob of picking 1 s and 1 f? 3/68 Three letters picked without replacement from {b: 2, w: 9, k: 2, m: 1}. Give prob of picking 1 w and 2 b. 9/364 Three letters picked without replacement from {x: 6, y: 2}. Give prob of picking 2 x and 1 y. 15/28 Three letters picked without replacement from fppbfsffbbfbtbfpb. Give prob of picking 1 p, 1 f, and 1 s. 9/340 What is prob of picking 2 k and 1 h when three letters picked without replacement from hkegkebkgehbbegg? 3/280 What is prob of picking 1 m, 1 k, and 1 u when three letters picked without replacement from aaamaaaxuuaammuxaku? 4/323 Three letters picked without replacement from {a: 14, j: 1}. What is prob of picking 2 a and 1 j? 1/5 Four letters picked without replacement from {j: 2, k: 3}. What is prob of picking 2 j and 2 k? 3/5 Four letters picked without replacement from {m: 11, g: 9}. Give prob of picking 1 g and 3 m. 99/323 Four letters picked without replacement from {h: 8, y: 3, v: 5}. Give prob of picking 2 y and 2 h. 3/65 Calculate prob of picking 1 t, 1 l, 1 q, and 1 z when four letters picked without replacement from zzvlqqklt. 4/63 What is prob of picking 2 x and 1 w when three letters picked without replacement from wwxwwwwwwxwwwwwxwxww? 8/95 What is prob of picking 2 x and 1 w when three letters picked without replacement from {h: 6, w: 4, x: 3}? 6/143 Three letters picked without replacement from {p: 3, b: 2, f: 2, v: 4, j: 1, z: 2}. What is prob of picking 1 z, 1 b, and 1 j? 1/91 What is prob of picking 2 i and 2 h when four letters picked without replacement from kihhhihiihkhi? 30/143 What is prob of picking 1 f and 2 o when three letters picked without replacement from foszzoz? 1/35 Four letters picked without replacement from {n: 3, u: 1, h: 5}. Give prob of picking 3 n and 1 u. 1/126 Three letters picked without replacement from {o: 2, i: 2, u: 3, z: 3, v: 3}. What is prob of picking 1 v and 2 i? 3/286 What is prob of picking 4 p when four letters picked without replacement from {d: 1, z: 2, e: 1, g: 3, p: 4, q: 1}? 1/495 Calculate prob of picking 1 v and 1 x when two letters picked without replacement from xxvxvvvvvvvv. 9/22 Three letters picked without replacement from anaaaanannaaaaan. Give prob of picking 2 n and 1 a. 11/56 What is prob of picking 2 y when two letters picked without replacement from {y: 3, h: 3}? 1/5 Two letters picked without replacement from {s: 2, k: 18}. Give prob of picking 2 s. 1/190 What is prob of picking 1 i, 1 d, and 1 f when three letters picked without replacement from diifivrzfzvi? 2/55 What is prob of picking 3 i when three letters picked without replacement from iziiziiiiiiziiziii? 91/204 Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 2, e: 8, d: 3, o: 1, y: 5}. 2/171 What is prob of picking 1 c and 1 k when two letters picked without replacement from kyyyzaggaacykzk? 1/35 Three letters picked without replacement from {f: 11, x: 1}. What is prob of picking 3 f? 3/4 What is prob of picking 2 d and 2 t when four letters picked without replacement from {t: 4, y: 1, d: 2, k: 2}? 1/21 What is prob of picking 1 b, 1 q, and 2 s when four letters picked without replacement from sssqqsbsbsqbn? 27/143 Two letters picked without replacement from vrevlzlr. What is prob of picking 2 l? 1/28 What is prob of picking 1 s, 1 i, and 1 p when three letters picked without replacement from pissiiiisiiiiiisiss? 24/323 Calculate prob of picking 2 x and 2 m when four letters picked without replacement from {q: 4, v: 2, x: 3, m: 2}. 1/110 Calculate prob of picking 2 w when two letters picked without replacement from uwwuwzuuuuuuawwu. 1/12 Three letters picked without replacement from afffaafffararra. Give prob of picking 1 f and 2 r. 18/455 What is prob of picking 4 c when four letters picked without replacement from {c: 5, f: 8}? 1/143 Two letters picked without replacement from nuffnunswsfnnffuuuhs. Give prob of picking 1 n and 1 w. 1/38 Calculate prob of picking 1 i, 1 c, and 1 p when three letters picked without replacement from {c: 5, i: 2, p: 5}. 5/22 Calculate prob of picking 1 l, 1 j, and 1 h when three letters picked without replacement from {j: 4, l: 1, h: 1, c: 1, e: 2}. 1/
{ "pile_set_name": "DM Mathematics" }
14831965/17 396045340 divided by -99011335 -4 What is 7212 divided by 224? 1803/56 -211283 divided by 103 -211283/103 What is -208981296 divided by 5708? -36612 Divide 24781 by -7. -24781/7 Calculate 0 divided by -143802674. 0 What is -36561365 divided by 5? -7312273 Divide 112164 by -5364. -9347/447 13125325 divided by 13125325 1 Calculate 1047486099 divided by 11. 95226009 Divide 108432670 by -5. -21686534 What is -3 divided by -2146076? 3/2146076 Divide -3835434 by 55586. -69 Calculate 0 divided by 6322268. 0 3728560 divided by 38 98120 Calculate -8365136 divided by -32. 522821/2 What is -20772546 divided by -2? 10386273 What is -40 divided by 759398? -20/379699 Divide 24197415 by 22. 2199765/2 -108361293 divided by 447 -242419 Calculate -40 divided by 2426455. -8/485291 Divide -5 by -20518222. 5/20518222 Divide 3614721 by 3. 1204907 Divide 3 by -292968922. -3/292968922 Calculate -38434176 divided by 1601424. -24 What is -525398002 divided by 5? -525398002/5 What is -97 divided by -575? 97/575 What is 2 divided by -719360? -1/359680 1228631944 divided by -4 -307157986 -9 divided by -520148 9/520148 Divide -884961189 by 126423027. -7 Calculate 2 divided by 57410428. 1/28705214 What is 368 divided by 73? 368/73 Divide -532923 by -9. 177641/3 Calculate 1244 divided by -5510. -622/2755 Divide -13291 by 9457. -13291/9457 -83892 divided by 44 -20973/11 What is -443055006 divided by 9? -49228334 787074 divided by -9 -262358/3 Calculate 239275 divided by 41. 239275/41 Calculate 4 divided by -89530. -2/44765 Calculate 441090 divided by 174. 2535 -137438 divided by 22 -68719/11 -1060986170 divided by 3 -1060986170/3 Divide -5290917 by -1763639. 3 -1588889315 divided by 1 -1588889315 Calculate 165807906 divided by -27634651. -6 Divide 37494 by 4810. 18747/2405 Divide -21 by 3684053. -21/3684053 Calculate -29735 divided by -1642. 29735/1642 130117 divided by -23 -130117/23 Divide -5082272 by 317642. -16 Divide -571 by 419483. -571/419483 -28766760 divided by -4794460 6 What is 7211995 divided by -1030285? -7 -33079920 divided by 10 -3307992 Divide -1323071 by -5. 1323071/5 What is 12 divided by -294629? -12/294629 Divide -6 by 2858619. -2/952873 -33914315 divided by 233 -145555 Divide -1030749056 by 317056. -3251 Divide 28925776 by -4. -7231444 Calculate 39710174 divided by -5672882. -7 Calculate -2109 divided by -2752. 2109/2752 -11643163 divided by -1 11643163 Calculate 53676790 divided by -603110. -89 What is -1504468 divided by 2? -752234 Divide -339216930 by -585. 579858 What is -4898 divided by -24493? 4898/24493 Divide -22459659 by 258157. -87 Divide -5 by -34254261. 5/34254261 Calculate -237528 divided by 39. -79176/13 Divide 1150 by 42773. 1150/42773 -223633 divided by 45 -223633/45 Divide 515892412 by -4. -128973103 -1933 divided by 299 -1933/299 -233035 divided by 12 -233035/12 Divide 123889391 by 1744921. 71 What is -58 divided by -842294? 29/421147 What is -224016 divided by 154? -112008/77 What is 28710 divided by 826? 14355/413 Calculate -7742 divided by -1157. 7742/1157 What is 47558650 divided by -9455? -5030 19 divided by -13788979 -19/13788979 Calculate 66603459 divided by -3. -22201153 What is 36005232 divided by 4500654? 8 Calculate -5 divided by -1358504. 5/1358504 Calculate -88 divided by -339757. 8/30887 What is -2660600 divided by -212? 12550 Divide 3 by 2234198. 3/2234198 What is 53956097 divided by 1? 53956097 What is -2841165594 divided by -6? 473527599 What is -4 divided by -98497299? 4/98497299 -11 divided by -4578558 11/4578558 0 divided by 32405522 0 Divide -118 by -1866120. 59/933060 Divide 6424418 by -247093. -26 -23041764 divided by -5760441 4 Calculate 57035 divided by 62. 57035/62 What is -1116019112 divided by -4? 279004778 What is 22020 divided by -111? -7340/37 103808 divided by 7749 103808/7749 Calculate -168236880 divided by -4205922. 40 Calculate 12523 divided by 140. 1789/20 Divide -497961858 by 165987286. -3 123646698 divided by 441 280378 -501522 divided by -6 83587 Divide -5 by -1741965. 1/348393 Calculate -66 divided by 14898. -11/2483 Calculate 2298 divided by -8231. -2298/8231 What is -176237 divided by 1836? -176237/1836 What is -465767585 divided by 5? -93153517 Divide 765767782 by 58905214. 13 Divide 7591987 by 11. 7591987/11 -70334015 divided by 173 -406555 Calculate 6569 divided by -658. -6569/658 23844 divided by 606 3974/101 4468350 divided by 12 744725/2 What is 30133 divided by 29212? 30133/29212 Divide -175461100 by -1754611. 100 What is -79637824 divided by -16? 4977364 -762371517 divided by -4461 170897 2 divided by -73282580 -1/36641290 Calculate -23860 divided by -412. 5965/103 What is 5916128 divided by 1479032? 4 Calculate -80757 divided by 125. -80757/125 What is -11 divided by 2511279? -11/2511279 12157402 divided by 14186 857 -138254204 divided by 6284282 -22 1479690 divided by 739845 2 What is 331550325 divided by 4420671? 75 Divide 76285951 by -10897993. -7 What is -1518664860 divided by 25311081? -60 12261424 divided by 437908 28 What is -4138910 divided by -413891? 10 What is 144741 divided by 3360? 48247/1120 What is -118201769 divided by 7? -16885967 Calculate 1113 divided by 46864. 1113/46864 What is 110572736 divided by -337112? -328 Divide -12780202 by 124. -6390101/62 -768382 divided by -4 384191/2 What is 4570994 divided by 6? 2285497/3 Calculate 8 divided by 14423308. 2/3605827 Calculate 9396796 divided by -4. -2349199 118117725 divided by -23623545 -5 What is -17430512 divided by 8? -2178814 What is -13646394 divided by 52893? -258 Calculate -9644688 divided by -401862. 24 What is -53523887 divided by 1726577? -31 107 divided by -138710 -107/138710 Divide -9336132 by 36. -259337 Divide 52112568 by -81938. -636 Divide 938713 by 609. 938713/609 Divide -74 by -129324. 37/64662 What is 8047052 divided by 17? 473356 Divide 10674 by -62067. -3558/20689 -533 divided by -503 533/503 -31 divided by -207826 31/207826 What is -4031 divided by 52434? -4031/52434 Calculate -65227875 divided by 5611. -11625 Calculate 297183562 divided by 2. 148591781 664100816 divided by -8 -83012602 What is -597265650 divided by -74565? 8010 Divide -46720 by 1209. -46720/1209 What is -11 divided by 921113? -11/921113 Divide 29634598 by 2. 14817299 Calculate -35 divided by -85310. 7/17062 What is 121 divided by -2326? -121/2326 Divide -248299 by -1720. 248299/1720 What is -622135644 divided by -26484? 23491 Divide -2995 by -1661. 2995/1661 What is -17224380 divided by -36? 478455 -438 divided by -16575 146/5525 -3681070 divided by 736214 -5 What is 92977032 divided by -611691? -152 Divide 252317 by -43. -252317/43 Divide 1508700 by -428. -3525 Calculate 25621 divided by 14633. 25621/14633 -4 divided by 3793036 -1/948259 -10500640 divided by -2625160 4 Divide -667838544 by -26736. 24979 What is -102960 divided by -720? 143 122 divided by 32601 122/32601 16350127 divided by 19 860533 What is -72 divided by -1240254? 4/68903 Divide 24220381 by -590741. -41 -20538384 divided by -5134596 4 -12 divided by -155233 12/155233 What is -5022241 divided by 68? -5022241/68 Calculate 683629180 divided by 5. 136725836 5 divided by -34524084 -5/34524084 Calculate -18732147 divided by 6. -6244049/2 Divide -1307715045 by 3903627. -335 Calculate -152971 divided by 15. -152971/15 What is 7779 divided by 9082? 7779/9082 Calculate 233537527 divided by -1210039. -193 What is 5864954 divided by -2? -2932477 What is -464846 divided by -1015? 464846/1015 -8615 divided by -1459 8615/1459 -66494915 divided by -997 66695 Calculate 236583612 divided by -54. -4381178 What is -886043912 divided by 351884? -2518 1038250010 divided by 5 207650002 Calculate -180961888 divided by -344. 526052 Calculate -145765 divided by -13. 145765/13 Calculate -31 divided by -54966. 31/54966 What is 2299455 divided by 3? 766485 What is 125744070 divided by 1479342? 85 Divide -1264116 by 5. -1264116/5 What is -24 divided by 119380? -6/29845 -28414 divided by 194 -14207/97 Calculate 1385538 divided by -6. -230923 Calculate 2593068 divided by -1124. -2307 Divide -113715 by -28. 16245/4 Calculate -13754 divided by 18512. -529/712 Calculate -4195267 divided by 7. -4195267/7 Calculate -22066992 divided by -306486. 72 Divide 4 by -1914047. -4/1914047 -5
{ "pile_set_name": "DM Mathematics" }
0.0000003 Round -3.2995551 to one decimal place. -3.3 What is 28470200 rounded to the nearest 100000? 28500000 What is -0.505297 rounded to 3 dps? -0.505 What is 6.169192 rounded to 1 dp? 6.2 Round -245635 to the nearest one thousand. -246000 Round 0.000748229 to 5 decimal places. 0.00075 Round 10419030 to the nearest one hundred thousand. 10400000 Round -0.0723499 to 2 dps. -0.07 What is 456427 rounded to the nearest 100000? 500000 What is 9116100 rounded to the nearest 1000000? 9000000 What is -11285790 rounded to the nearest 100000? -11300000 What is 10.03879 rounded to 2 decimal places? 10.04 Round 66527260 to the nearest one million. 67000000 Round 606302.8 to the nearest 1000. 606000 What is 185.309 rounded to the nearest ten? 190 Round -1453.389 to the nearest ten. -1450 What is 1415300 rounded to the nearest 1000000? 1000000 What is -0.0124203 rounded to four decimal places? -0.0124 What is -151.3719 rounded to one decimal place? -151.4 Round 73408.4 to the nearest 10000. 70000 Round 95.82113 to the nearest ten. 100 What is -2.5728703 rounded to 2 decimal places? -2.57 What is -21.90499 rounded to one decimal place? -21.9 What is -4414454 rounded to the nearest one hundred thousand? -4400000 What is 353680000 rounded to the nearest one million? 354000000 What is -0.0199709 rounded to two dps? -0.02 Round 0.5008545 to one decimal place. 0.5 What is -1437778400 rounded to the nearest 100000? -1437800000 Round 2861600 to the nearest 100000. 2900000 What is -570.8186 rounded to 0 dps? -571 What is -12.129888 rounded to the nearest integer? -12 Round 0.005848911 to three dps. 0.006 What is 299184000 rounded to the nearest 100000? 299200000 What is 0.00039249995 rounded to 4 dps? 0.0004 Round 78.9639 to the nearest ten. 80 What is -9574.84 rounded to the nearest 1000? -10000 Round 7981593 to the nearest one million. 8000000 What is -1511.28 rounded to the nearest 100? -1500 What is 0.03428616 rounded to two decimal places? 0.03 What is -0.0000545242 rounded to 7 dps? -0.0000545 What is 28.681742 rounded to zero decimal places? 29 Round -501.1955 to zero decimal places. -501 What is 1.990546 rounded to 2 decimal places? 1.99 What is 0.00049321823 rounded to 4 decimal places? 0.0005 Round 1726432 to the nearest 10000. 1730000 Round 102.77167 to the nearest ten. 100 Round -38.414 to the nearest integer. -38 What is 0.1485365 rounded to three dps? 0.149 What is -0.0068177213 rounded to 3 dps? -0.007 Round 14459400 to the nearest 1000000. 14000000 What is 0.0001975861 rounded to five dps? 0.0002 Round -0.50315 to 2 decimal places. -0.5 Round 0.003601235 to 4 dps. 0.0036 What is -23407.73 rounded to the nearest 100? -23400 Round -0.3503112 to 4 decimal places. -0.3503 Round -37.605361 to the nearest ten. -40 What is 175.1129 rounded to 0 dps? 175 Round 0.00134442 to 5 dps. 0.00134 Round 108877.52 to the nearest one hundred. 108900 Round -6786.25 to the nearest one thousand. -7000 Round 65103.8 to the nearest 100. 65100 Round 57672750 to the nearest 1000000. 58000000 Round 0.0006174459 to 5 decimal places. 0.00062 Round -138640 to the nearest one million. 0 Round -84.92519 to the nearest 10. -80 Round -0.2578321 to four dps. -0.2578 What is 82249.39 rounded to the nearest one thousand? 82000 What is -28719.3 rounded to the nearest ten thousand? -30000 Round -2259306 to the nearest one thousand. -2259000 Round -4.866109 to 0 dps. -5 What is -0.731526 rounded to one decimal place? -0.7 Round 12.5189 to zero decimal places. 13 Round -3050.2059 to the nearest integer. -3050 What is 9167.36 rounded to the nearest one hundred? 9200 Round 5954997 to the nearest 10000. 5950000 What is -5358056.5 rounded to the nearest one million? -5000000 What is 0.029243877 rounded to four dps? 0.0292 What is -5216 rounded to the nearest 1000? -5000 Round 0.0277372 to two decimal places. 0.03 What is 0.000002064915 rounded to seven decimal places? 0.0000021 Round 1.282446 to 2 dps. 1.28 Round -5.34775 to 2 decimal places. -5.35 What is 11.336848 rounded to zero dps? 11 What is -3407490 rounded to the nearest one million? -3000000 What is -0.01634786 rounded to 4 decimal places? -0.0163 Round 0.11603947 to 4 dps. 0.116 Round 0.9572904 to 1 decimal place. 1 Round 771542 to the nearest 1000. 772000 Round 23514650 to the nearest 100000. 23500000 Round 0.58292 to 1 dp. 0.6 What is -7440.27 rounded to the nearest 10? -7440 What is 161631.7 rounded to the nearest 10000? 160000 Round -58571900 to the nearest one hundred thousand. -58600000 What is 46.272991 rounded to the nearest ten? 50 Round -0.000012618606 to 6 decimal places. -0.000013 What is 7356.92 rounded to the nearest one thousand? 7000 Round -103864 to the nearest ten thousand. -100000 What is 1843873000 rounded to the nearest one million? 1844000000 Round -20.35121 to two dps. -20.35 What is 0.2190591 rounded to 2 dps? 0.22 Round -31.3246 to 0 dps. -31 Round -0.00183058 to four dps. -0.0018 Round -0.03101448 to 3 decimal places. -0.031 Round -0.0000081008 to six decimal places. -0.000008 What is -0.000294291 rounded to 4 dps? -0.0003 Round -0.35795097 to 4 dps. -0.358 What is -91907180 rounded to the nearest ten thousand? -91910000 What is 23.983334 rounded to 2 dps? 23.98 Round -0.024927023 to 4 decimal places. -0.0249 What is -10070.2 rounded to the nearest 1000? -10000 Round 0.00074132443 to 5 dps. 0.00074 Round -88644775 to the nearest 100000. -88600000 Round -2.26851 to 2 decimal places. -2.27 What is 1193.769 rounded to the nearest ten? 1190 What is 0.6130148 rounded to two dps? 0.61 Round -5388560 to the nearest one hundred thousand. -5400000 Round 4324284400 to the nearest 1000000. 4324000000 What is 27368839 rounded to the nearest 1000000? 27000000 Round -500880.3 to the nearest ten thousand. -500000 Round -2740750000 to the nearest one million. -2741000000 Round -0.0000027543 to 7 dps. -0.0000028 What is 9238 rounded to the nearest 100? 9200 Round -0.0000039564 to seven decimal places. -0.000004 Round -8037.09 to the nearest 100. -8000 What is 0.0123844832 rounded to three dps? 0.012 What is 32860690 rounded to the nearest one million? 33000000 Round -593877.2 to the nearest one thousand. -594000 What is 20229992 rounded to the nearest 10000? 20230000 What is -0.0000322448 rounded to 5 decimal places? -0.00003 Round 2146052 to the nearest 100000. 2100000 Round -1.5941586 to one decimal place. -1.6 Round 0.0025647096 to 6 decimal places. 0.002565 Round 1672.532 to zero decimal places. 1673 Round 0.0469371 to 3 decimal places. 0.047 What is 0.000376012 rounded to 5 decimal places? 0.00038 What is 3155.577 rounded to the nearest integer? 3156 What is -2366838 rounded to the nearest one hundred thousand? -2400000 Round -0.0000302055 to five decimal places. -0.00003 Round -8409.752 to the nearest 1000. -8000 Round -2112103000 to the nearest 1000000. -2112000000 Round 25.4093 to one dp. 25.4 What is 451338000 rounded to the nearest one million? 451000000 Round -5.73981 to zero decimal places. -6 Round -101.02 to the nearest ten. -100 What is 0.011152934 rounded to 6 dps? 0.011153 Round 12967500 to the nearest one million. 13000000 Round -0.0008516607 to seven decimal places. -0.0008517 Round -0.00236063 to five decimal places. -0.00236 What is -0.00000237302 rounded to 7 dps? -0.0000024 What is -22897.415 rounded to the nearest 100? -22900 Round 0.00000289562 to 6 decimal places. 0.000003 What is -2.110785 rounded to one decimal place? -2.1 Round -0.000000211227 to six decimal places. 0 What is 0.011654703 rounded to four dps? 0.0117 What is 298280.12 rounded to the nearest 1000? 298000 What is 31301750 rounded to the nearest one million? 31000000 What is -0.055169 rounded to 3 dps? -0.055 Round 0.00135825 to four dps. 0.0014 Round 189.75137 to zero decimal places. 190 Round 0.0027589404 to five dps. 0.00276 What is -155516.1 rounded to the nearest 10000? -160000 What is 0.000168052 rounded to five decimal places? 0.00017 Round 266229.9 to the nearest 100000. 300000 What is -533780 rounded to the nearest ten thousand? -530000 What is -9.721372 rounded to 2 decimal places? -9.72 What is -0.3637157 rounded to 3 dps? -0.364 Round 1647170 to the nearest one hundred thousand. 1600000 What is 3853213700 rounded to
{ "pile_set_name": "DM Mathematics" }
= -386 + 403.2. Let o = r + -17.1. Which is the nearest to o? (a) -2 (b) -0.4 (c) 1 b Let n be (-12)/(-15)*(-85)/(-68). Let w = 0.4 - 0.7. Which is the nearest to 0.1? (a) n (b) 16 (c) w c Let m = -1507 + 10545/7. Let z = -4 - -4.14. Let i = z + -0.04. Which is the closest to i? (a) m (b) 2/3 (c) -1 b Let m = -107.794 - 0.006. Let h = -565 + 457. Let y = h - m. What is the nearest to y in -1/4, -0.4, -2/9? -2/9 Let n(f) = f**2 - 567*f + 565. Let b be n(1). What is the closest to -2/227 in -0.2, b, -4? -0.2 Let r = 35.40605 + -0.64505. Let j = 0.239 + r. What is the nearest to -2/7 in 1, -2/9, j, -4/5? -2/9 Let t = 0.03 + -0.13. Let q = -1.36 - -1.36. What is the nearest to t in 1/6, q, -0.02? -0.02 Let q = 293.5 - 293.2. What is the closest to q in 2, 0.0133, 4? 0.0133 Let d = -0.861 + -0.389. Let w = -4.25 - d. Which is the closest to 0? (a) -1/5 (b) w (c) 27 a Let y = 0.095 - 4.095. Let f be (2/(-3))/((-8)/3). Let j = -0.035 + -1.965. Which is the nearest to f? (a) -1/2 (b) j (c) y a Suppose 5*v - 9 = -3*n, 3*n - 75*v - 9 = -71*v. Which is the closest to 2/11? (a) 3/4 (b) 0.04 (c) n b Let i = -3 + 2. Let f be 322/(-23)*14/(-245). What is the closest to 1 in i, f, -0.056? f Let r = -88 + 87. Let z be 2/(-4) + (4 - (-130)/(-39)). What is the nearest to 37 in z, r, 2/7? 2/7 Let m(x) = -10*x + 312. Let h be m(30). Let o be (-2)/19 + h*20/(-8550). Let r = -0.5 - -0.2. What is the closest to -0.03 in r, o, 0? 0 Suppose -5*g = -3*s - 13, 271*g - 45 = -5*s + 266*g. What is the nearest to -33/8 in 5, s, 2/3? 2/3 Let s = 730.4 - 731.28. What is the nearest to 1/2 in 4, 2/11, s, -0.2? 2/11 Let h = 20023.5 + -20041. What is the closest to 2/7 in 8, -1/3, h? -1/3 Suppose -4*f - 5*p + 24 = 0, 33*f - 2*p - 6 = 32*f. Suppose 0 = f*v + 33 - 63. Which is the nearest to 0.05? (a) v (b) 20 (c) 1/3 c Let k be (-37)/((-481)/(-572)) + 4/((-16)/28). Let y = -10 + 5. What is the nearest to k in 5, -0.5, y? y Suppose 1167 = 5*f + 5*m + 1157, -f - 7*m = -32. Let q = -0.2 - -0.7. Which is the nearest to 0.1? (a) 1 (b) q (c) 2 (d) f b Let w be 4 + 0 + 72/(-16). Let s = 4757 + -4759. Which is the nearest to s? (a) 1/6 (b) 11 (c) 1/5 (d) w d Let n = 0.08301 + 0.21699. What is the nearest to 0.1 in n, -1.36, 1/3, 2? n Let n = 155 - 348. Let d = n - -192.82. Which is the nearest to d? (a) 2 (b) -0.4 (c) 1/5 b Suppose 2*r - 3 - 2 = -3*i, -5*r + 4*i + 1 = 0. Let t be -1 + 2 - (-3)/(-4). Let s = 132 - 131.7. Which is the nearest to r? (a) 4 (b) s (c) t b Let v(g) = -5*g**3 - g**2 - g. Let i be v(-1). Let y = -12395/54 + 1/27. Let l = y - -230. Which is the nearest to -2/5? (a) l (b) i (c) -1 c Let y = 4.2 - -0.8. Let l = y + -5.06. Let g = l - -0.26. Which is the closest to g? (a) 5/4 (b) 4 (c) -0.5 c Let m = -0.03 + -1.97. Let l = -52223 + 52223. Which is the closest to -2/9? (a) m (b) l (c) -2/3 b Let h = 0.19254 - 0.12554. Which is the closest to 0? (a) 3 (b) h (c) 0 c Let w = -5.5 - -5. Let y = 310 - 311. Let f = -153 - -148. What is the closest to y in w, f, -2/15? w Let l = -16.57 + 16.07. Which is the closest to -0.2? (a) 5 (b) -5 (c) -24 (d) l d Let l be -5 + 22/6 + (-20)/(-6). Let f be ((-5)/2 - -1) + 2. Suppose -z - 2 + 6 = -t, 2 = 2*z - 4*t. Which is the nearest to f? (a) z (b) l (c) 1 c Let x = 2.4502 - 2.9502. What is the closest to -3/2 in -340, -4, x? x Let k(j) = j**3 + 30*j**2 - j - 38. Let u be k(-30). Let q = 922/7 - 132. Which is the closest to u? (a) 3/4 (b) 2/5 (c) q c Let x be (-2 + 20)*134/804. What is the closest to x in -9, -4, 0.03? 0.03 Let a = -160/9 - -836/45. Let l be (-764)/5 - (2 + 9/(-5)). Let j = l - -152. What is the closest to -1/12 in -0.5, a, j? -0.5 Let w = 0.01 + -0.07. Let r = -403.04 + 403.1. Which is the nearest to 2/5? (a) 4 (b) w (c) 1/3 (d) r c Suppose -3 = 5*i - 2*i. Let l(y) = 15*y + 163. Let s be l(22). Let z = -489 + s. What is the closest to 13 in z, i, 1/4? z Let g = 586 + -442. Let k = g + -143.8. Which is the nearest to 0? (a) 1 (b) 7 (c) k c Let f = -43.2 + 228.2. Let p = -180 + f. Which is the nearest to 2/41? (a) 1 (b) p (c) -4 a Let u = -8292.9 + 8293. Which is the nearest to 3? (a) u (b) 0.17 (c) 0.4 c Let h be ((-1442)/19 - -38) + (4/19)/(-2). Which is the closest to 1/2? (a) 4 (b) 0.6 (c) 0.3 (d) h b Let h be 3 + -4 + 0 + 5 + -2. Suppose 0 = -8*l + 13*l + h*u + 4, 0 = 2*l - 5*u - 10. Let x = -1 - -1. What is the nearest to x in -0.1, l, -1/6? l Let n = -1085 - -1086. What is the closest to 1/16 in n, 2, -5, 0? 0 Let i = -140/3 - -47. Let j = 0.4297 + -0.1297. What is the nearest to -6 in j, 4/3, i? j Suppose -85*u = -166*u + 84*u - 18. Let l be (-4)/(-10) - (-2 - -3). Let r = -0.1 - 0.9. Which is the closest to -0.1? (a) l (b) r (c) u a Let x be 8/(-18) + 18/(9720/105). What is the closest to -0.29 in -4, 3, x? x Let s be (-8)/(-19918)*(-1322)/(-6). Let z = 2/1299 - s. Let c = -1930 - -1930. What is the closest to -2/5 in 2/3, z, c? z Let h = -15 + 136/9. Let i = 14 + -9. Let w be ((-12)/(-255))/((-20)/50). Which is the closest to -0.1? (a) h (b) w (c) i b Let s = 4791 + -4791. Let o = 1.03 - 0.03. What is the nearest to -0.4 in s, 0.2, o? s Let f = 152 - 139.6. Let o = f + -92.4. Let z = 75 + o. Which is the nearest to -2/5? (a) -0.4 (b) z (c) 4 a Let x = 13.36 + -0.36. Let h = -71 - -75. Suppose g - 1 = 3*k, 3*g - 5*g + 2 = -h*k. Which is the nearest to g? (a) x (b) 5 (c) -5 b Let x = -0.11069 + 0.03069. What is the nearest to 4 in x, -6, -2? x Let o = -5963.8 + 5964. Suppose 0 = -2*y - 3*d + 13, d = 8*y - 3*y + 10. What is the nearest to o in 0.1, -1/11, y? 0.1 Let p = 54 + -54.031. Let y = -3.269 + p. Let r = y - -3.6. What is the nearest to 1 in r, -1/4, -2? r Let z = 18 + -18.07. Let f = 9022897915/1603 + -5628757. Let j = -2/229 - f. What is the closest to z in -2, j, 0.3? j Let r(m) be the third derivative of m**6/120 - m**5/10 + 5*m**4/12 - m**3/2 + 2*m**2 + 82*m. Let x be r(2). Which is the nearest to -3? (a) -0.1 (b) x (c) 2 a Let k = -0.2 - -0.3. Let y be (1278/99 + -13)/1. Which is the nearest to 0.1? (a) 2 (b) y (c) k c Let k = 0 - -3. Let p be 2/(12/1) + (-26712)/55728. Let s = 23/43 + p. What is the nearest to s in -0.4, k, 0.2? 0.2 Let f = 0.00821 - -2.99179. Which is the nearest to f? (a) -13 (b) 4 (c) -11 b Let b = -18583.4 + 18583. What is the nearest to 1 in b, 441, 1/4? 1/4 Let g be (-32)/40*(-2)/(-70)*(-56)/(-16). What is the closest to -2 in -17, g, 1, 1/5? g Let k = -26/511 - 4761/2555. Let m = -12/7 - k. What is the closest to 2/3 in 3/10, 5, 4, m? 3/10 Let f = 137.4 + -21.4. Let k = f - 120. Let w = 0.08 - -4.92. Which is the closest to 2? (a) w (b) 0.4 (c) k b Let f = -4.019 - -1.019. Which is the closest to -11? (a) -4 (b) f (c) -9/8 a Let x = 73 - 46. Let i be 37/(-21) - (-120)/84. Which is the nearest to i? (a) -0.4 (b) 1 (c) x a Let v = 913.9 + -916.9. What is the closest to -2.1 in -1/5, v, 3? v Let h = 1081 - 609. Let w = 470 - h. What is the nearest to 2/7 in w, 2, -1/4, -5? -1/4 Let t = 1182 + -2101. Let r = t - -918.3. Let k = -3 - 1. Which is the nearest to 2? (a) k (b) r (c) -1/4 c Let a = 4028 - 4027.9. What is the nearest to 2 in 2, a, 346? 2 Let z = 18.97 - 18.77. What is the nearest to 3630 in z, -1, -4? z Let t = -13148 - -13137. Which is the nearest to 1/68? (a) t (b) -3/2 (c) -1/3 c Let d be ((-4)/((-200)/(-75)))/(-8 + (-63)/(-6)). Let i = 25.2 - -6.8. What is the closest to -6 in d, i, -1/2? d Let t = -0.1 - 0.7. Let l = t - -7.8. Let a = -10.65 + 10.55. What is the nearest to a in 0.4, 5, l? 0.4 Let s be (-63)/(-35) + -2 - ((-42)/30 - -1). What is the nearest to -1 in 0.02, s, 11? 0.02 Let x = 19161 + -19162. What is the closest to -4 in x, 4, 18/11, 2? x Let m = -351.7 + 352.7. What is the closest to m in 3, 10, 5, 2/7? 2/7 Let y = 79 - 116. Let t = y - -39. Suppose 0 = -t*c + 2 - 12. What is the closest to -1/2 in 2/25, c, 1/4? 2/25 Let q = 195 - 183. Suppose -4*f - n + 8 = -2*f, 2*n - q = -2*f. Which is the closest to f? (a) -1 (b) -0.4 (c) 0.09 (d) -1/2 c Let v be (-8 + (-171)/(-18))*((-2)/(-12) + 0). Which is the closest to 6? (a) v (b) -0.4 (c) -3 (d) -0.03 a Let y(r) = 11*r - 36 + 0*r + r**2 - 2*r**2 + 38. Let j be y(11). Let k = -20.8 + 21.
{ "pile_set_name": "DM Mathematics" }
= -w + 1. Let q = -5 + 7. Let g be y(q). Let v = 916/6645 + -2/443. Which is bigger: v or g? v Let a = -1 + 3. Suppose -3*s - 4 = a. Let o = 0.91 - -0.09. Which is smaller: s or o? s Let c be (-2)/(-9) - 76/18. Let z be 2/8 + (-100)/16. Is z bigger than c? False Suppose 4*t = 8, 5*v + 3*t - 9 = 2*v. Is -2 equal to v? False Let k be ((-15)/9)/((-10)/12). Let l = -23 - -23.9. Let a = l - -0.1. Which is bigger: k or a? k Let d be (-13 + 11)/((-1)/3). Suppose -g = 2*g + d. Let f be (-1 + 2/4)*2. Which is smaller: f or g? g Let o be (-18)/(-20)*(-5)/(-3). Let q = o - 2. Is q smaller than -2? False Let r = -21.91 + 22. Let f = r + 0.11. Let d = -27 - -51/2. Which is greater: d or f? f Let g = 17/6 - 107/42. Is 5 less than or equal to g? False Let l(w) = 2*w**2 - 5*w + 5. Let f be l(4). Let v = 17 - f. Does -2 = v? False Let t = -2/373 - 684/11563. Which is bigger: 1 or t? 1 Suppose 7*b = -4*b + 4*b. Which is greater: b or -2/151? b Let n(y) = y**2 + y - 6. Let j be n(3). Is 7 > j? True Let x = -0.2 - -0.3. Let q = 0.1 - x. Let y = -2 - q. Which is smaller: -0.1 or y? y Let c(u) = -u + 5. Let k(x) = -x + 4. Let q(r) = -3*c(r) + 4*k(r). Let w be q(-7). Let y be (12/w)/(3/4). Is 4/3 smaller than y? True Let u be (-1)/12*1*-3. Let k(x) = x**2 + 2*x - 2. Let g be k(-3). Which is bigger: u or g? g Let p = -10 - -16. Suppose -r + p*r - 20 = 0. Let f be (-16)/154 + r/14. Is f bigger than 1? False Let s be (-2)/8 + (-155)/20. Let w(l) = -l**3 - 8*l**2 - l - 5. Let g be w(s). Which is greater: 2 or g? g Let o = 30.115 + -0.115. Which is smaller: 0 or o? 0 Let d = 182647073878/93906189 - 1201/380187. Let h = -1945 + d. Let v = h - -508/1729. Which is smaller: v or -6? -6 Let y be (12/(-15))/((-18)/15). Which is smaller: y or -1/3? -1/3 Let h be (2 + -3)*(-2 - 0). Suppose -2*l = h*d, 3*l - d - 2*d = 0. Which is smaller: 5/4 or l? l Let k be (-4)/(-2) - (-9 - -8). Suppose -k*t = 2*t. Is 5/7 at least t? True Let b be (3/(-9))/(1/6). Let f = -4 + 9. Suppose 0 = 2*x + 5*g + 12, -2*g = -2*x - f*g - 8. Which is greater: x or b? x Suppose -5*x + 3*m + 9 = 0, 5*x - 5*m + m - 12 = 0. Let s = 21 + -18. Let p be 4 + s/42 + -4. Which is smaller: p or x? x Suppose -2*o + 5*m = -31, o + m + 20 = 6*o. Let d = 1 + -1. Suppose 2*a - 2 = -d*w + o*w, 3*a - 3 = 4*w. Is w less than or equal to -2/19? False Let j = 1/618 + -2783/1236. Which is bigger: -1 or j? -1 Let u(p) = -p**3 + 4*p**2 - p - 3. Let w be u(2). Which is bigger: w or 4? 4 Suppose 0 = -4*v + s - 9, 4*v + 1 = v - 5*s. Let a be 12 + 0 - (v - 0). Let o be (-14)/(-35) - a/10. Is o < -2? False Let v = 19.9 + -32. Let c = v - -12. Is -0.1 greater than or equal to c? True Let j(g) = g**3 - 7*g**2 + 2*g - 2. Let m be j(7). Let n be (m/30)/((-4)/(-15)). Which is smaller: -1 or n? -1 Let h = 2 - 1.9. Let d = 7.7 - 8. Is d > h? False Let v = 12 - 11.9. Is v less than -4? False Let p(j) = -j**3 - 6*j**2 - 9*j - 2. Let h be p(-4). Suppose -3*w + w = -h. Is -1/5 != w? True Let h be (1 - 2)*0/(-2). Let n = 24 + -12. Let u = 13 - n. Which is smaller: h or u? h Suppose 3*l - 80 + 29 = 3*y, 5*l = -2*y + 78. Suppose -l = 5*j + 114. Let r = j - -51/2. Which is smaller: -2 or r? -2 Let s be 2 + -2 - -2 - 3. Let y be -2 - s - (-1)/(-3). Suppose -2*u + 6*u = -4*n - 16, -3*u = -3*n - 12. Which is bigger: y or u? u Suppose -5*b - 76 = 4*q, -2*q = 3*b + 1 + 37. Is q bigger than 0.1? False Let g = 6 - 3.5. Let i = -3 + g. Do i and -0.1 have different values? True Suppose -5*y - 10 = -5. Which is bigger: y or -3? y Suppose -7*x = -6*x. Is 4/11 bigger than x? True Let b = -97 + 147. Let h be ((-10)/b)/(2/5). Are h and -4 nonequal? True Let w be 1*(-1)/(-1) + 1. Let k be ((-1)/1*7)/(-5). Is k != w? True Let i(v) = -2*v**2 - 6*v + 3. Let j be i(4). Let g be 205/(-4) + 1*-2. Let n = j - g. Is 4 > n? True Let b be -3 - (15/(-2) + 4). Is b >= 2.6? False Let o be 2 + 0 + (-540)/(-63). Let y = 349/35 - o. Is 0 != y? True Let y = -0.5 + -1. Let t = 0.5 + y. Let b = t - -1. Is 0 less than or equal to b? True Let z = 0.6 - 0.5. Let s = 27.08 - 24. Let u = -0.08 + s. Which is greater: z or u? u Suppose -4*x + 10 = -2. Let h = -3.5 + 4. Let v = 0.4 - h. Do v and x have different values? True Suppose -3*r - r = -3*p + 30, -r = -4*p + 40. Which is smaller: p or 9? 9 Suppose -2*d - 42 = 3*j, -d + 7 = -2*j - 14. Let i be 4 + j/2 + 3. Let k be (-1)/4 - 5/(-4). Is k != i? False Let t = 1.71 - 0.01. Are -0.1 and t equal? False Suppose 4*r = 3*r + 1. Suppose 2*g = -4*t - 9 + 29, 3*g + 10 = 2*t. Is r less than or equal to g? False Let r(m) = -2*m - 1. Let a be r(-2). Suppose -5*g = -a*g. Which is smaller: 2/15 or g? g Let a be -1 + 14/10 - 924/(-840). Which is smaller: a or -1? -1 Let v = -9 - -16. Let a(j) = -j**3 + 6*j**2 + 8*j - 7. Let c be a(v). Which is bigger: c or 3/4? 3/4 Suppose 4*t - 12 = 2*q, -4*t + 2 = -3*t - q. Suppose 2*a - 2*d + 0*d - t = 0, 3*a + 4 = -2*d. Is 3/7 less than a? False Let n be ((-6)/(-10))/(98/35). Which is smaller: n or 0? 0 Let u be ((-20)/46)/((-16)/88*-11). Which is smaller: u or -1? -1 Let v = -19/2 + 41/4. Is v < 0.02? False Let d = 1240783/7063 + 41/1009. Let x = -176 + d. Which is greater: x or -2/9? -2/9 Let z be 5*2/(-10)*-2. Let n(g) = -g**2 + 9*g - 8. Let v be n(7). Let i be z/3 - 2/v. Is i >= -3? True Let l be ((-3)/(-2))/((-3)/52). Let q = l - -51/2. Let o = 7.6 - 7.4. Which is greater: q or o? o Let w(o) = o + 19. Let r(f) = -f - 18. Let k(x) = 5*r(x) + 4*w(x). Let z be k(-10). Which is smaller: 0 or z? z Let f = 67/7 + -2204/231. Is -1 < f? True Suppose 0 = v - 0 - 1. Let g = -0.8 + 0.6. Which is smaller: g or v? g Suppose 16*f - 12*f = 0. Is f at least -4/7? True Suppose 0 = -4*o - 3 + 11. Let x(k) = 3*k**2 - k. Let c be x(1). Let r be -1*(c - (-21)/(-9)). Which is bigger: r or o? o Let t = 0.05 + 0.35. Let a = t - 0.5. Let z = 1.9 - a. Which is greater: z or 0? z Let k be ((-154)/207)/(-1) - (-4)/(-18). Are 0 and k nonequal? True Suppose 2*f + 3*z - 12 = 0, 6*f - z + 12 = 8*f. Let k be f/(-9) + (-2)/(-12). Suppose q = -2*t - 2*q + 4, 0 = -2*t + 4*q - 10. Which is smaller: t or k? t Let p = -2 + 3. Is p greater than or equal to -2/137? True Suppose -6 = -4*n + n. Do -0.05 and n have the same value? False Suppose 4*j - 2*r = 90, -3*j - 2*j - 5*r + 120 = 0. Suppose -27 = -5*q + j. Let p = 14 - q. Is p < 1/2? False Let u = 21.3 - 9.4. Let y = u - 12. Which is bigger: 0.7 or y? 0.7 Let d(h) = -15*h - 1. Let p be d(-1). Suppose p = a - 3*l, -2*a - 19 = 2*a + 3*l. Let z = 2 - 1.8. Which is bigger: z or a? z Let v = -57 + 56. Which is greater: 4/15 or v? 4/15 Let m(n) = -2 + n**2 + 6*n**2 + 8 + n**3 + 8*n. Suppose 5*b - 25 = 5*p, -4*b + 34 = -5*p + 8. Let y be m(p). Is 0 at most y? False Let l(o) = o + 4. Let d be l(-4). Suppose -5*n = -d*n - 5. Let s = 349 - 5233/15. Which is smaller: n or s? s Suppose -101*i + 95*i + 6 = 0. Is i bigger than 1/106? True Let i(f) = f**2 + 8*f - 43. Let y be i(-12). Is y at least -7? True Let m = 0.02 - 1.92. Let t = m - -2. Let n = 0.3 + -0.2. Is n equal to t? True Let j = -1.6 - -2.2. Let x = j - -0.4. Is x at most 0.2? False Suppose 4*l = 3*v - 11, 5*v - l - 29 = 3*l. Let a be ((-6)/v)/(4/(-30)). Suppose 0 = 3*o - a*o + 6. Which is smaller: 2 or o? 2 Let p = 0.1 - 0.6. Let l = p - 0.5. Let z(h) = -h - 2. Let n be z(-1). Is n at least l? True Suppose -2*t + 10 = 5*k + 23, -5*k = -3*t - 7. Let a(o) = o**2 + 3*o - 2. Let r = 1 - 3. Let p be a(r). Are t and p equal? True Let y = -12 + 12. Is y > 1? False Let o = 1 + -3. Let h = 0.8 + o. Let z = h - -0.2. Is z > -0.1? False Let q be (-77)/(-28) - 1/(-4). Suppose -q = -5*j + 2. Which is greater: -3/7 or j? j Let s be 6019/(-156) + 1/4. Let m = 37 + s. Which is bigger: m or -1? -1 Let j(w) = -w**2 + 2*w. Let z be j(7). Let m be (-21)/z - (-2)/10. Which is greater: m or -1/4? m Let x = -37 + 35. Is x >= -2.3? True Let w be 405/11 - (1 - 3). Let t(i) = 2*i**3 - 6*i**2 + 7. Let h be t(4). Let m = h - w. Are 0 and m non-equal? True Let i = -0.5 - 0.3. Let g = i + 0.7. Let p be -7 - (-2)/(2/1). Is p less than g? True Let r = -95 - -98. Let v be (2/(-15))/(9/(-15)). Which is smaller: v or r? v Let a be -37*1/2*-2. Suppose 0*o + 5*o = -5*z - 10, 0 = 4*z - 5*o - a. Suppose r + 6 = 3*x, z*r + 3*x = 7*x - 8. Which is smaller: r or -1? -1 Let p = 2 - 1.
{ "pile_set_name": "DM Mathematics" }
a multiple of 13? False Does 48 divide 2112? True Does 2 divide 3814? True Is 168 a multiple of 20? False Is 6 a factor of 36570? True Is 56 a multiple of 7? True Does 17 divide 280? False Is 2 a factor of 303? False Does 90 divide 360? True Is 7449 a multiple of 261? False Is 67 a multiple of 3? False Does 128 divide 4992? True Is 7 a factor of 40801? False Is 15457 a multiple of 29? True Is 2 a factor of 301? False Does 49 divide 9845? False Is 610 a multiple of 10? True Is 78 a factor of 43680? True Does 9 divide 2664? True Does 17 divide 2485? False Does 38 divide 190? True Is 17178 a multiple of 42? True Does 26 divide 17290? True Is 7296 a multiple of 128? True Is 40 a factor of 400? True Does 183 divide 6588? True Does 9 divide 448? False Is 57 a factor of 566? False Is 1424 a multiple of 118? False Is 95 a factor of 10736? False Does 34 divide 44672? False Does 14 divide 7896? True Is 1325 a multiple of 17? False Is 16 a factor of 1087? False Does 28 divide 1064? True Does 155 divide 24525? False Is 246 a multiple of 12? False Is 1345 a multiple of 17? False Is 7982 a multiple of 50? False Is 4470 a multiple of 38? False Is 11980 a multiple of 16? False Is 1301 a multiple of 25? False Is 10 a factor of 81893? False Is 2544 a multiple of 16? True Is 26106 a multiple of 57? True Is 23449 a multiple of 131? True Does 32 divide 672? True Does 41 divide 8229? False Does 20 divide 360? True Is 12 a factor of 695? False Does 139 divide 6255? True Is 54 a factor of 415? False Is 19 a factor of 12654? True Is 638 a multiple of 11? True Is 9 a factor of 162? True Is 95 a factor of 128? False Is 75 a factor of 5212? False Is 2395 a multiple of 19? False Does 19 divide 17849? False Is 3510 a multiple of 73? False Is 4356 a multiple of 43? False Does 5 divide 20060? True Does 101 divide 46662? True Is 63584 a multiple of 17? False Does 15 divide 1455? True Is 529 a multiple of 23? True Is 3830 a multiple of 43? False Is 57428 a multiple of 49? True Is 21 a factor of 84? True Is 36221 a multiple of 29? True Does 90 divide 2700? True Is 32 a factor of 4178? False Does 128 divide 2385? False Does 17 divide 9369? False Is 20 a factor of 32802? False Is 16 a factor of 6960? True Is 15 a factor of 327? False Is 5 a factor of 5636? False Is 8 a factor of 99? False Is 1760 a multiple of 16? True Is 2025 a multiple of 91? False Is 77 a factor of 1309? True Is 36 a factor of 288? True Does 9 divide 364? False Is 160 a factor of 25760? True Is 60 a factor of 1680? True Is 8090 a multiple of 275? False Does 78 divide 312? True Is 3432 a multiple of 132? True Is 6 a factor of 183? False Is 216 a multiple of 12? True Is 440 a multiple of 20? True Is 163 a multiple of 6? False Is 2610 a multiple of 6? True Does 27 divide 2042? False Is 55 a factor of 44051? False Is 47 a factor of 6913? False Is 972 a multiple of 12? True Is 1002 a multiple of 3? True Is 1009 a multiple of 75? False Does 60 divide 7200? True Does 136 divide 42024? True Does 67 divide 19631? True Does 29 divide 3741? True Is 2616 a multiple of 39? False Is 13 a factor of 2947? False Does 222 divide 29817? False Is 83 a multiple of 34? False Does 138 divide 1794? True Does 15 divide 191? False Does 12 divide 3864? True Is 1173 a multiple of 5? False Is 225 a factor of 4992? False Is 6367 a multiple of 6? False Is 146 a factor of 1738? False Is 116 a factor of 1972? True Is 816 a multiple of 48? True Is 4158 a multiple of 19? False Is 17154 a multiple of 18? True Is 11 a factor of 2417? False Is 86 a multiple of 14? False Is 45 a factor of 4841? False Does 34 divide 37910? True Is 983 a multiple of 17? False Is 308 a multiple of 14? True Is 38 a factor of 988? True Is 14 a factor of 17836? True Is 1904 a multiple of 11? False Does 16 divide 905? False Is 6219 a multiple of 118? False Is 1009 a multiple of 7? False Does 30 divide 7050? True Is 22229 a multiple of 35? False Does 11 divide 3080? True Is 12006 a multiple of 39? False Does 14 divide 38864? True Is 12 a factor of 4296? True Does 18 divide 34834? False Is 12 a factor of 5376? True Is 963 a multiple of 9? True Is 8 a factor of 1345? False Does 84 divide 609? False Is 825 a multiple of 25? True Is 138 a factor of 1518? True Is 9881 a multiple of 16? False Does 33 divide 1392? False Is 56 a factor of 93? False Is 28 a factor of 2249? False Does 78 divide 13932? False Is 25 a factor of 6025? True Is 18527 a multiple of 51? False Is 21 a factor of 177723? True Is 103 a multiple of 4? False Is 6625 a multiple of 64? False Is 21 a factor of 65499? True Is 575 a multiple of 15? False Is 21 a factor of 483? True Is 25 a factor of 1499? False Is 163 a factor of 2771? True Is 188 a factor of 24628? True Is 172 a factor of 6990? False Does 89 divide 1424? True Is 124 a factor of 23560? True Does 25 divide 3186? False Is 74 a factor of 3552? True Is 583 a multiple of 54? False Is 13 a factor of 604? False Does 48 divide 8400? True Is 15270 a multiple of 10? True Does 2 divide 1848? True Is 128 a factor of 3600? False Is 24990 a multiple of 7? True Is 5951 a multiple of 85? False Does 61 divide 6344? True Is 24 a factor of 24096? True Is 25 a factor of 775? True Does 6 divide 6581? False Is 680 a multiple of 5? True Is 63 a factor of 310? False Is 24 a factor of 488? False Does 19 divide 1106? False Does 136 divide 11152? True Does 6 divide 378? True Is 29 a factor of 5090? False Does 14 divide 31696? True Is 147 a factor of 73990? False Is 2430 a multiple of 2? True Is 16905 a multiple of 35? True Is 30 a factor of 2449? False Is 5238 a multiple of 37? False Does 12 divide 666? False Does 30 divide 19179? False Is 3 a factor of 978? True Is 1575 a multiple of 45? True Is 6 a factor of 1190? False Is 221 a factor of 40001? True Does 14 divide 1740? False Does 48 divide 3648? True Does 21 divide 2709? True Is 2858 a multiple of 6? False Is 874 a multiple of 14? False Does 10 divide 6970? True Does 62 divide 62970? False Does 4 divide 1248? True Does 53 divide 1802? True Is 7698 a multiple of 3? True Is 21 a factor of 10248? True Does 9 divide 20331? True Is 17 a factor of 106? False Is 5130 a multiple of 38? True Is 315 a multiple of 9? True Does 3 divide 91? False Does 4 divide 22894? False Is 27833 a multiple of 38? False Is 420 a factor of 59640? True Is 11786 a multiple of 71? True Is 113 a factor of 37516? True Does 16 divide 639? False Is 7 a factor of 658? True Is 2527 a multiple of 19? True Does 16 divide 375? False Does 61 divide 43920? True Does 9 divide 180? True Is 10 a multiple of 2? True Does 63 divide 866? False Does 12 divide 1976? False Is 1112 a multiple of 130? False Does 13 divide 1404? True Is 2329 a multiple of 13? False Does 74 divide 2529? False Does 7 divide 189? True Is 22949 a multiple of 96? False Is 11832 a multiple of 17? True Is 163 a factor of 4381? False Does 3 divide 653? False Is 880 a multiple of 22? True Is 41 a factor of 1640? True Is 15 a factor of 149970? True Is 28 a factor of 7152? False Is 5382 a multiple of 46? True Does 55 divide 9240? True Does 75 divide 2775? True Does 2 divide 1847? False Is 25 a factor of 32711? False Is 107 a factor of 2568? True Does 7 divide 5202? False Is 2484 a multiple of 46? True Is 17 a factor of 744? False Is 14 a factor of 29806? True Does 112 divide 40773? False Is 85 a factor of 187? False Is 10524 a multiple of 12? True Is 207 a factor of 46989? True Is 1562 a multiple of 22? True Does 5 divide 2325? True Is 13046 a multiple of 22? True Does 5 divide 415? True Is 62 a factor of 6262? True Is 25 a factor of 28275? True Does 82 divide 30177? False Is 638 a multiple of 2? True Is 3 a factor of 11305? False Does 12 divide 9357? False Is 36 a factor of 2168? False Does 95 divide 2945? True Is 3811 a multiple of 72? False Does 2 divide 72? True Is 14050 a multiple of 13? False Is 139749 a multiple of 7? False Is 133 a factor of 33455? False Is 30 a factor of 5400? True Is 5 a factor of 273? False Is 14 a factor of 63? False Is 298 a multiple of 3? False Does 31 divide 1900? False Is 10 a factor of 71180? True Is 10 a factor of 2330? True Is 57 a factor of 475? False Is 78 a factor of 4758? True Is 263 a multiple of 19? False Is 852 a multiple of 20? False Is 619 a multiple of
{ "pile_set_name": "DM Mathematics" }
e of w(x). Is m(-4) prime? True Suppose -q + 2*n + 3*n = -205, -5*n + 485 = 2*q. Let c = -123 + 84. Let r = q - c. Is r prime? True Suppose 15451 = t + 2*c, 30867 = -4*t + 6*t - 3*c. Is t prime? False Let q(m) = 47*m**2 + 3*m + 5. Let p = 38 - 40. Is q(p) a composite number? True Let r(u) = -u**2 + 0*u - 6*u - 5 + 3 + u. Let b be r(-4). Suppose 1 + 7 = 2*o + b*g, 0 = -5*g - 15. Is o composite? False Let s = -7 - -23. Let u be (2/4)/(2/s). Suppose -189 = -5*l - u. Is l a prime number? True Let c(s) = -6*s**3 + 9*s**2 - 23*s - 97. Is c(-10) composite? True Suppose -12*x = -16*x + 27524. Is x a composite number? True Let k = -8278 + 11867. Is k a composite number? True Let z be (-29)/2 - (-3)/6. Let b be z*5*(-2)/4. Is 3*(-3)/((-9)/b) prime? False Let l(j) be the first derivative of 16*j**2 - j + 10. Suppose 3*g - g - 14 = 0. Is l(g) a prime number? True Suppose -i = i - 4. Let j(o) = 67*o**2 - 2*o - 4. Let p be j(i). Let l = 605 + p. Is l a prime number? False Suppose 66476 + 138293 = 29*z. Is z a prime number? False Is -112*1532/(-10) - (-300)/500 prime? True Let o(t) = 8*t**3 + 4*t**2 + 2*t. Let c be o(-1). Suppose 4*w - 331 = -3899. Is ((-3)/c)/((-2)/w) composite? False Let b(j) = -5*j**2 - 2. Suppose 0 = -3*i - 2*g - 2, 0 = 5*i - 3*g + 31 + 4. Let n(l) = -9*l**2 + l - 3. Let s(f) = i*n(f) + 7*b(f). Is s(7) composite? False Let m(h) = 50*h**2 - 17*h + 19. Is m(6) composite? True Let y = -22 - -33. Suppose 0 = y*c - 10*c - 3793. Is c prime? True Let a = -15 + 19. Let x be (-79)/a*-6*2. Suppose 2*i = -i + x. Is i a prime number? True Suppose 5*q - 5*z = 991 + 639, -976 = -3*q + 4*z. Let h = q - 171. Is h a composite number? False Let x = 23 - 18. Suppose 0 = 3*a + x*s - 319, -5*a = -3*s - 29 - 548. Is a a prime number? True Let y be 646 + 3/(-6)*-2. Let s = 135 - 73. Suppose -s = -k + y. Is k prime? True Let c = -34 - -17. Let p = -19 - c. Is (p + -1172)*(-1)/2 prime? True Let i(c) = -21*c**2 + 9*c - 1. Let u be i(-10). Suppose 2*p - 2 = 3*x - 3*p, 3*x = -3*p - 18. Is x/22 + u/(-11) prime? True Suppose -2 = -2*d, -2*d + 486 = 3*z - 6350. Let n = z + -1311. Is n a prime number? True Let x(l) = l + 484. Let b be (20/5 + -4)/1. Let y be x(b). Suppose -830 = -2*n + 2*q, y = n + 3*q + 85. Is n composite? True Let r(o) = o - 4. Let m be r(0). Let h(u) = u**2 + 3*u + 1. Let g be h(m). Suppose g*a = 2*b + 187, 0 = a + 3*b - 6*b - 40. Is a a prime number? True Let n = 2534 + -1447. Let w = n - -646. Is w composite? False Suppose -665*v + 22998 = -659*v. Is v a composite number? False Let c = 3902 - 2536. Is c a composite number? True Let p(s) = s**3 + 5*s**2 + 4*s + 3. Let g be p(-4). Is g + (-2 + 84)*1 a composite number? True Let t be (-32)/(-4) - (2 + 1). Suppose 4*d = 2*g + 7943 + 3765, -5*d + 14625 = -t*g. Is d composite? True Let f = -3121 - -9318. Is f a composite number? False Is 2825 + 1/((-4)/24) prime? True Suppose -3*b + p = -0*b - 3846, -6412 = -5*b + p. Is b composite? False Let b = 61735 + -35832. Is b prime? True Suppose -6*a = 10577 + 4669. Let s = 1952 - a. Is s prime? True Let c(v) = -v - 1. Let b be c(-4). Suppose 5*u - 4*o = -0*o + 4779, b*u = -4*o + 2893. Is u prime? False Let u = 38953 + 2448. Is u a prime number? False Is (-17811)/(0 + -3) + (0 - -4) a prime number? False Let l be (-49820)/30 - (-4)/(-3). Suppose w = 2*w + 3*t - 2368, 0 = 5*w + 3*t - 11828. Let j = w + l. Is j composite? True Let i be 1 + (5 + -2 - -1). Suppose 5861 = i*t + 1516. Is t a composite number? True Suppose 2*r = -4*i + r + 7196, -2*r = 0. Suppose -6*a = i - 11201. Is a prime? True Suppose 39*k = 46*k - 3129. Suppose 3*r + 1571 = -5*q, 2 = 2*r - 4. Let z = q + k. Is z a composite number? False Let h = 67 + 110. Let u = -106 + h. Is u a prime number? True Is 7/1 + (9 - (-30730 + 19)) composite? False Suppose 2*c + 4*q = -q + 2169, 0 = -2*c + 4*q + 2214. Suppose 0 = -9*j + c - 431. Is j a prime number? False Let h = 1023 - 518. Let g be -10*(-25)/4*12. Suppose h = 5*t - g. Is t a prime number? True Suppose -2*l + 4*d - 10 = -l, 5*d = -5*l - 50. Let u be l/3*(-5 - -2). Is (10/4)/(u/140) prime? False Let g = 50370 - 12193. Is g a prime number? True Suppose -4*x + 479 = 5*i - 0*x, 2*i + 4*x = 194. Suppose 9*q - i = 4*q. Is q a composite number? False Let m = -4243 + 7362. Is m composite? False Let o = 2061 + -806. Is o a composite number? True Let m be 1/((-3)/(-33)) + 1. Let y be (m/(-9))/((-8)/6). Is y/(1*(-3)/(-174)) composite? True Let g = -71 - -74. Suppose 5*s - 1304 = -g*v + 6*v, -5*v + 534 = 2*s. Is s prime? False Suppose 9 = 3*z - 3. Let o be 116 + 2 - 27/(14 - 5). Suppose -r = 0, o = 5*m + z*r - r. Is m a prime number? True Suppose -27*o = -24*o - 3. Let d(b) = 673*b**3 - 2*b + 2. Is d(o) composite? False Let h(s) = -s**3 + 19*s**2 - 13*s - 82. Is h(13) a composite number? True Let r(x) = 279*x - 23. Let p be r(-5). Let m = p - -2541. Is m prime? True Is 0 + (-2 - (-9)/3) - -6004 composite? True Let u(h) = -h**3 + h**2 - h + 4. Let d be u(0). Suppose 2*c - 3*b = -0*c + 2668, d*c + 3*b = 5354. Is c a composite number? True Suppose 5*q - 9 = 6. Suppose 3*b = -2*l + 21, 4*b = q*l + 2*l - 18. Is (-1143)/l*(-6)/9 a prime number? True Let t(a) be the third derivative of -a**4/4 + 7*a**3/6 - 12*a**2. Is t(-8) a prime number? False Suppose -311*h = -324*h + 504673. Is h composite? False Suppose 7 = -4*j + 3. Let t(n) = -220*n + 1. Is t(j) prime? False Suppose -544 = -2*v + 2*n + 3210, 5*v = -4*n + 9349. Suppose 0 = 5*b - 1512 - v. Is b composite? False Let m = 15 - 11. Suppose -m*q - q = -95. Suppose -4*k + 33 = -q. Is k composite? False Let z(g) = -g**2 + 7*g - 6. Let r be z(5). Suppose -2*k + 676 = 3*f, -k - f - f + 339 = 0. Suppose -a + k = r*a. Is a composite? False Suppose -y = -3*g + 8, 0 = 3*g - 3*y + 4*y - 16. Suppose -3*a = -j - 5*a, 5*j = -g*a + 24. Suppose j*s - s = 4354. Is s composite? True Let c(z) = -z**3 - 15*z**2 + 10*z - 6. Let p be c(8). Let d = p - -2141. Is d prime? True Suppose -80624 = -4*t + 4*b, -5*t = -16*b + 18*b - 100759. Is t a prime number? False Let b(p) = 0 - 92*p**2 - 7 + 2 + 6*p + 389*p**2. Let o(z) = -z**3 - 3*z**2 + 4*z + 2. Let t be o(-4). Is b(t) composite? True Suppose d = -3*a - a - 2, -4*a = -3*d - 6. Is 337 - 2 - (-8)/d prime? True Let q(f) = -3*f**3 + 92*f**2 + 73*f + 65. Is q(31) prime? True Suppose 2*r + 4 = -2*h, 3*h = -4*r - 1 - 8. Let l(a) = 648*a + 1. Is l(h) composite? True Let o be (-20)/12*-21*39. Suppose 3*h - 3*w - o = 405, 5*w = 3*h - 1776. Is h a composite number? False Let q(b) = -2*b + 3. Let i be q(2). Let u be (-6 - (-4 - i)) + -3. Is 2/(-3) - 142/u a prime number? True Suppose -3*w + b + 308 = 0, 316 = -0*w + 3*w + b. Suppose o + 5*i - 131 = w, -4*o = -3*i - 848. Suppose 0 = 2*j - 3*d - o, -5*j + 512 = 4*d - 3*d. Is j prime? True Let h(a) = -a. Let b(j) = -83*j - 2. Let x(l) = b(l) + 6*h(l). Is x(-3) prime? False Let n be 3*(-3 + 52/6). Let u(d) = 10*d - 9 + 4 + 15*d + n. Is u(7) prime? False Let c(w) = 2*w**3 + w**2 + w + 6. Let h be c(0). Suppose a = h*a - 1615. Is a a composite number? True Suppose n = -2*m + 10, m + 0*n + 5*n = -4. Is ((-4581)/m)/3*-2 a composite number? False Suppose 0*v + 12 = 3*v. Is (v/(-2))/((-30)/22665) composite? False Suppose -3*h + 145586 = 5*v, -v - 5*h = -4*v + 87372. Is v a composite number? True Suppose 12*o - 7*o = 3*s - 6509, -5*s + 10867 = o. Is s composite? True Suppose y + 2*y - 2*p + 17 = 0, 0 = 2*y + 5*p - 14. Let o(z) be the second derivative of -31*z**3/6 + 2*z**2 + 7*z. Is o(y) a composite number? False Suppose 3*z + d = 15, 4*z - 8 = 3*d - 1. Suppose -z*l = 8, 1172 = -0*j + 2*j + 4*l. Let s = j + -405. Is s prime? False Let u be 11216/28 + -3 + 3/7. Let g = u - -2495. Is g a composite number? True Suppose -c - 2*s + 9447 = 0, -28329 = -8*c + 5*c - 3*s. Is c a prime number? True Let h(o) = 3*o**2 - 5*o - 49. Let u = 114 - 104. Is h(u) a composite number? True Let x be (-39)/2*(-26)/3. Let n = 280 - x. Is n prime? False Suppose -4180 = 3*n - 3*p - 1402, -1852 = 2*n + 3*p. Let k = -553 - n. Is k a prime number? True Let g = -107 + 112. Suppose g*y + 5*w = 19730, -y = -3*w - 5718 + 1784. Is y a prime number? True Is (3/(24/(-2230)))/((-1)/4) a composite number? True Suppose -3*k = 5*c, 5*k + 5*c = -0*c. Let l(u) = u + 11. Let o be l(-7). Suppose -d -
{ "pile_set_name": "DM Mathematics" }
2*z**2 - 4*z + 3. Let u(j) = j**2 - 2*j + 2. Let p be (8/12)/(16/9 - 2). Calculate p*m(a) + 5*u(a). -a**2 + 2*a + 1 Let r(f) be the second derivative of -f**3/3 + 3*f**2/2 + f. Let d(v) = 1. Let x = 491 - 492. Calculate x*r(p) + 2*d(p). 2*p - 1 Let g(v) = -6*v + 1. Let s(r) = -12*r + 2. Let z = 727 + -722. Calculate z*g(i) - 2*s(i). -6*i + 1 Let b(g) = g**3 + g**2 + 1. Let l(t) be the third derivative of t**6/20 + t**5/4 + 5*t**3/2 - 6*t**2 - 6*t. Determine -15*b(y) + l(y). -9*y**3 Let k(l) = -l. Let u(v) = -28*v - 35*v + 89*v - 38*v. Let m be 1/((-1)/(-3)) - 3. Let t be (0 - -3) + m - -7. What is t*k(j) - u(j)? 2*j Let r(c) = -c**3 + c**2 + 6*c - 2. Let u(a) = -2*a**3 + 2*a**2 + 11*a - 4. Give -7*r(b) + 4*u(b). -b**3 + b**2 + 2*b - 2 Let j(w) = 8*w - 2. Let h(b) = b + 1. Let g(v) = -5*h(v) + j(v). Let i(n) = -n + 2. Give -2*g(k) - 9*i(k). 3*k - 4 Let g(y) = 8*y**3 - 7*y**2 - 5*y + 6. Let k(j) = -9*j**3 + 7*j**2 + 6*j - 7. What is 7*g(d) + 6*k(d)? 2*d**3 - 7*d**2 + d Let v = 27 - 22. Suppose 0 = v*m - 5*b + 10, b - 2*b = -3*m - 6. Let n(u) = u**2 + u - 2. Let j(a) = -3 - 1 + 2 + a**2 - 1 + 2*a. Give m*j(g) + 3*n(g). g**2 - g Let s(y) = -y**3 - y**2 + y + 1. Let k(g) be the second derivative of -2*g**5/5 - 7*g**4/12 + 7*g**3/6 + 7*g**2/2 - 75*g. What is 2*k(j) - 14*s(j)? -2*j**3 Let w(s) = 100*s**3 - 4*s**2. Let c(g) = -33*g**3 + g**2. What is 7*c(j) + 2*w(j)? -31*j**3 - j**2 Let c(d) be the first derivative of 25 - 34 + 2*d**2 - d**2 - 6*d - 3*d**2. Let s(t) = -t - 1. Determine c(l) - 5*s(l). l - 1 Let g(x) = -3*x**2 + 4*x - 4. Suppose 0*h = -2*h - 4*i, -4 = 2*i. Suppose 4*z + 8 = -4*f, -2*f - 9 - 7 = -h*z. Let u(l) = -l**2 + l - 1. Give z*u(v) - g(v). v**2 - 2*v + 2 Let g(w) = w + 3. Let d(p) = -104*p + 10. Calculate -d(j) + 3*g(j). 107*j - 1 Let m(x) be the first derivative of -5/3*x**3 + 0*x + 10 + 0*x**2. Let d(w) = -2*w**2. Calculate 4*d(v) - 2*m(v). 2*v**2 Let q(z) = 1. Let a(g) = g + 1. Give 2*a(o) - 5*q(o). 2*o - 3 Let w = -21 + 11. Let d(a) = 1 - a**2 + 0*a**2 + 0*a**2. Let x(h) be the second derivative of h**5/20 + 5*h**4/12 - 5*h**2/2 - 2*h - 1. Give w*d(c) - 2*x(c). -2*c**3 Let r(k) = k + 1. Let m = -7 - -8. Let v(n) = 5*n + 2. Let o(x) = m*v(x) + 2*r(x). Let c(a) = 8*a + 5. Give -4*c(s) + 5*o(s). 3*s Let i(a) = -3*a**2 - 8*a. Let u(w) = -4*w**2 - 9*w - 1. What is -3*i(j) + 2*u(j)? j**2 + 6*j - 2 Let q(i) = 105*i**2 + 3*i + 3. Let b(k) = k**2 - 2*k - 1. Calculate 2*b(m) + q(m). 107*m**2 - m + 1 Suppose 0 = 7*z - 2*z - 5*w + 5, -21 = -3*z - 3*w. Let m(i) = i + 2. Let h(g) = -2. Let l(v) = -2*h(v) - m(v). Let b(c) = -c + 3. Calculate z*b(n) - 4*l(n). n + 1 Let c(r) = -6*r**3 + 2*r**2 + 5*r - 5. Let s = -11 + 66. Let l = s - 37. Let k = -22 + l. Let b(i) = 5*i**3 - 2*i**2 - 4*i + 4. What is k*c(u) - 5*b(u)? -u**3 + 2*u**2 Let b(x) = -6*x. Let i be (126/126)/(1*-1). Let u(q) = -q. What is i*b(d) - 3*u(d)? 9*d Let o(w) = -7*w + 2. Let d = -99 - -96. Let z(k) = k. What is d*o(u) - 24*z(u)? -3*u - 6 Let r(p) = -p. Suppose u - 5 = d, -4*u - 2*d - 2*d = -20. Let x(k) = 2*k. Give u*r(a) + 2*x(a). -a Let r = 5 - 7. Let q(a) = 53*a**2 - 3*a + 20. Let c(k) = 15*k**2 - k + 7. Let h(i) = 7*c(i) - 2*q(i). Let z(s) = s - 4. Calculate r*h(b) - 5*z(b). 2*b**2 - 3*b + 2 Let x(g) = g**2 + 3*g - 6. Let m(l) be the third derivative of l**5/60 + l**4/8 - 7*l**3/6 + 706*l**2. Give -5*m(i) + 6*x(i). i**2 + 3*i - 1 Let c(b) = 15*b - 6. Let g(j) = 14*j - 7. Calculate 5*c(x) - 6*g(x). -9*x + 12 Let u(f) = 2*f**3 - 5. Let q(b) = 16 - 9*b**3 + 0*b**3 + 3*b**3 - 2. Let v = 4 + -3. Let k = -13 - v. Calculate k*u(o) - 5*q(o). 2*o**3 Let w = -9 + 6. Let h be (w - -5) + 3/(-1). Let v(b) be the second derivative of -b**3/6 + b**2/2 - 2*b. Let t(o) = 3*o - 4. What is h*t(f) - 4*v(f)? f Let m(t) = -2*t**3 + 5*t**2 - 2. Let q = -1146 + 1142. Let u(k) = 3*k**3 - 5*k**2 + 3. Give q*u(i) - 5*m(i). -2*i**3 - 5*i**2 - 2 Let h(t) = -t**2 + 29*t - 175. Let i be h(20). Suppose 2 = 2*a - 2. Let k(v) = -3*v + 2*v + a*v + 4. Let u(x) = x + 3. Determine i*k(q) - 6*u(q). -q + 2 Let k(u) = 38*u + 7. Let a(n) = 78*n + 13. Determine -4*a(v) + 7*k(v). -46*v - 3 Let q(h) = -h**3 - h. Let d(k) = -9*k**3 - 4*k. Let w be ((-3)/(-6))/((-1)/(-6)). Suppose 0 = 4*b - 12, 3 = -3*y + w*b - 9. Calculate y*d(t) + 6*q(t). 3*t**3 - 2*t Let k(h) = h**2 + 1. Let l(r) = -16*r**3 - 5*r**2 - 5. Suppose 11*j - 31 + 42 = 0. Calculate j*l(z) - 5*k(z). 16*z**3 Let m(l) = -4*l**3 + 10*l**2 + 171*l + 5. Let j(d) = -2*d**3 + 4*d**2 + 85*d + 2. Determine 5*j(k) - 2*m(k). -2*k**3 + 83*k Let l(a) = -8*a + 25*a - 20*a. Let w(m) = 2*m + 1. Let v be w(0). Let s(d) be the second derivative of d**3/6 - d. Calculate v*l(o) + 5*s(o). 2*o Let c(f) = 4*f - 4. Let g(n) = n + 3. Let l(w) = 3*w + 13. Let a(y) = 4*g(y) - l(y). Determine -21*a(b) + 6*c(b). 3*b - 3 Let v(r) = 3*r**2 + 2*r + 2. Let x = 2679 + -2681. Let f = -2 + 3. Let j(y) = 2*y**2 + y - 2*y**2 + y**2 + 1. What is f*v(t) + x*j(t)? t**2 Let d(p) = 6*p**2 + 5. Let b(u) = -7*u**2 + 6*u - 6. Let v(l) = 7*l**2 - 7*l + 6. Let w = -23 + 30. Let r(s) = w*b(s) + 6*v(s). Calculate -6*d(j) - 5*r(j). -j**2 Let m(z) = 7*z - 2. Let k(p) = -p. Suppose -3*o - 3 = 0, -4*o = 4*q - 6*q + 16. Determine q*k(h) + m(h). h - 2 Let f(y) = -777 + 25*y + 784 - 25*y + y**3. Let w(i) = i**3 + 4. Give -3*f(o) + 5*w(o). 2*o**3 - 1 Let q(t) = 19. Let d(n) = 28. Let b(u) = -2*d(u) + 3*q(u). Let f(r) = 5*r + 5. Calculate 4*b(x) - f(x). -5*x - 1 Let p(j) = -11*j**2 - 11*j - 11. Let t(y) = -5*y**2 - 5*y - 5. Let x(d) = -4*p(d) + 9*t(d). Let q(a) = a**3 + 4*a**2 + 5*a + 4. Determine q(s) + 4*x(s). s**3 + s Let n = 218 - 215. Let o(l) = -l**2 + l. Let s(x) = 4*x**2 - 2*x + 1. Calculate n*s(b) + 6*o(b). 6*b**2 + 3 Let z(o) = 5*o**2 - 223*o - 8. Let r(l) = 6*l**2 - 222*l - 10. Determine -4*r(p) + 5*z(p). p**2 - 227*p Let u(g) = 22265*g**2 + 366*g + 366. Let q(o) = 305*o**2 + 5*o + 5. What is -366*q(n) + 5*u(n)? -305*n**2 Suppose 46*d = 40*d + 42. Let o(j) = -4*j**2 - 2*j + 3. Let h(q) = 9*q**2 + 5*q - 7. Determine d*o(b) + 3*h(b). -b**2 + b Let b(a) = 22*a + 28. Let f(q) = 2*q + 1. Let n(z) = -b(z) + 10*f(z). Let m(s) = -1. What is 36*m(g) - 2*n(g)? 4*g Let r(o) = o**3 + 5*o**2 - o - 7. Let x(d) = 4*d**2 - d - 6. Let j be (-2)/(2*1/5). Calculate j*x(n) + 4*r(n). 4*n**3 + n + 2 Let c(y) = 28*y - 231. Let t(i) = 3*i - 26. Give 4*c(k) - 35*t(k). 7*k - 14 Let n(w) = -8 + 2*w**2 + 18 - w**2 - 9. Let h be (0/3 - 3)*8/(-4). Let p(a) = -3*a**2 - 6. Give h*n(d) + p(d). 3*d**2 Let k(y) = 9*y - 2. Let c(l) = -10*l + 1. Let w(u) = -u. Let q(m) = c(m) - 6*w(m). What is -2*k(d) - 5*q(d)? 2*d - 1 Let k(s) be the third derivative of s**4/24 + s**3/2 + 5*s**2. Suppose 3*c + 30 = -c + 2*h, 3*c + 3*h + 9 = 0. Let a(d) = -5*d - 13. What is c*a(q) - 26*k(q)? 4*q Let h(k) = 92*k + 1. Let z(w) = 95*w + 2. Determine -3*h(f) + 2*z(f). -86*f + 1 Let v(i) = 4*i**3 + 528*i**2 + 18*i - 6. Let p(x) = 3*x**3 + 528*x**2 + 15*x - 5. Calculate -6*p(k) + 5*v(k). 2*k**3 - 528*k**2 Let k(t) = 7*t**2 - 49*t. Let a(m) be the third derivative of m**5/60 - m**4/4 - 71*m**2. What is -49*a(d) + 6*k(d)? -7*d**2 Let d(q) be the second derivative of 3*q**3/2 - 22*q - 3. Let f be 6/15 + 36/10. Let l(i) = -5*i. Calculate f*d(c) + 7*l(c). c Let z be ((-24)/(-240))/((-1)/(-10)). Let w(i) = i**3 + i + 1. Let r(k) = 2*k**3 + 6*k + 6. Determine z*r(o) - 6*w(o). -4*o**3 Let c(v) = -4*v + 15. Let s be c(5). Let g(p) = -50*p + 0 + 21*p + 5*p**2 + 4 + 26*p. Let h(u) = 6*u**2 - 4*u + 5. Give s*g(r) + 4*h(r). -r**2 - r Let w(n) = -3*n - 1. Let m(u) = -19*u + 1 + 7*u + 6*u + 7*u. Suppose s - 8 = -4. Determine s*m(r) + w(r). r + 3 Let t(o) = 10*o + 5. Let k(b) = -3*b. Calculate 12*k(m) + 4*t(m). 4*m + 20 Let v(m) = -25*m + 6. Let f be v(0). Let g(y) = -7*y**2 - 7*y + 7. Let c(a) = 4*a**2 + 4*a - 4. Calculate f*g(t) + 10*c(t). -2*t**2 - 2*t + 2 Let u(v) = -v + 10. Let m(f) = f - 7. Let g(q) = 5*q + 7. Let a be g(0). Calculate a*m(p) + 5*u(p). 2*p + 1 Let q(y) = -2*y + 36. Let c(x) = x - 1. What is -c(l) - q(l)? l - 35 Let q(p) = 40*p - 10. Let n(y) be the second derivative of 13*y**3/6 - 3*y**2/2 + y - 24. Calculate 10*n(j) - 3*q(j). 10*j Let u(b) = -283*b**3 + b + 8. Let t(d) = 565*d**3 - 2*d - 18. Give 4*t(c) + 9*u(c). -287*c**3 + c Let r(j) be the first d
{ "pile_set_name": "DM Mathematics" }
7, -5, -4? 3 What is the third smallest value in 4, 2/7, -5, 31, -0.2? 2/7 What is the fourth biggest value in -2/5, 1/2, -2.5, 5? -2.5 What is the second biggest value in -0.4, 1/6, 5/3, 15/4? 5/3 Which is the second biggest value? (a) 1/5 (b) -2/5 (c) -310 b What is the third smallest value in 2, 0.04, 3, -1/6? 2 Which is the fourth smallest value? (a) -5 (b) -0.5 (c) -11/5 (d) 0.16 (e) -4 b Which is the third biggest value? (a) -12/5 (b) 1 (c) -5 (d) -0.01 a Which is the smallest value? (a) -4 (b) 2 (c) 1 (d) 0.2 a What is the second biggest value in 0, -0.6, -0.5, -0.2? -0.2 What is the biggest value in 4/5, 4, 0.1, -0.2, 5/32? 4 Which is the fourth smallest value? (a) -0.2 (b) 48 (c) -1/4 (d) -3/5 b Which is the smallest value? (a) 0 (b) -3/2 (c) -56/5 c Which is the fourth smallest value? (a) 16 (b) -5 (c) 0 (d) -1/4 (e) 5 e Which is the biggest value? (a) 1 (b) -80 (c) -0.4 (d) -2 a What is the fourth smallest value in 0.4, 3, 3/4, 1/2? 3 Which is the fourth smallest value? (a) -3 (b) -0.5 (c) -0.099 (d) 2 d Which is the second biggest value? (a) -1/23 (b) -4/7 (c) -0.5 c Which is the fourth smallest value? (a) -1 (b) 8 (c) 10 (d) -18 c Which is the third biggest value? (a) -2/3 (b) 9.7 (c) -2/13 (d) -0.5 (e) -3 d Which is the smallest value? (a) 2 (b) 1701 (c) 0 c What is the third biggest value in 2, -6/7, 22592? -6/7 Which is the second smallest value? (a) 1/5 (b) -4.5 (c) -3 c Which is the fourth smallest value? (a) -2 (b) 5 (c) 9 (d) -2/13 c Which is the fifth biggest value? (a) 1/146 (b) 2 (c) 9 (d) -2/5 (e) -3/8 d What is the smallest value in 0.2, 5, -1, -2/71, 3/7? -1 Which is the smallest value? (a) -2/5 (b) 2.4 (c) -5/4 (d) -0.1 c Which is the third smallest value? (a) 8 (b) 13/7 (c) 0 (d) -3 b What is the smallest value in 1, -1, -2, -5/4? -2 Which is the third smallest value? (a) 1.04 (b) -1/2 (c) -6 (d) 1 (e) 1/6 e What is the fourth biggest value in 2, -19, 0.2, -1/4, -0.2? -1/4 What is the fifth smallest value in 1, -2/9, -1/9, 1/5, 29? 29 What is the third biggest value in 0, -0.3, -2/3, -0.1, 3/5? -0.1 What is the fourth smallest value in 1.2, -2/17, 3, -5? 3 Which is the third biggest value? (a) -0.01 (b) -5 (c) -0.3 (d) -8/29 (e) -2 c Which is the third biggest value? (a) -0.5 (b) -10 (c) -5 (d) -2 c Which is the second smallest value? (a) -3/5 (b) -5 (c) 1/10 (d) 0 a Which is the second smallest value? (a) -1/4 (b) 2/79 (c) 5 (d) -0.2 d What is the biggest value in -5, -4, 0? 0 What is the biggest value in 1, -36, 0? 1 What is the second biggest value in 0.022, 0.1, -5, -20? 0.022 Which is the second biggest value? (a) 0 (b) 1/3 (c) -4/7 (d) 1.4 b Which is the fifth biggest value? (a) -3 (b) 18/13 (c) 1 (d) 3/2 (e) 3 a Which is the third smallest value? (a) 0.4 (b) 0 (c) -13 (d) 3 (e) -3/8 b Which is the fourth smallest value? (a) -0.08 (b) -0.6 (c) -0.5 (d) 4 d Which is the third smallest value? (a) 1.6 (b) -6 (c) -0.2 a Which is the biggest value? (a) -15 (b) -2 (c) 39 c Which is the second smallest value? (a) 0.2 (b) 2/7 (c) -1/2 (d) 0.064 (e) -3/8 e What is the third biggest value in -3/8, -3, 0.4, 1? -3/8 Which is the third smallest value? (a) 2/5 (b) 2 (c) 0 (d) -33 (e) -0.1 c What is the second smallest value in 1, 4, 2, -17? 1 What is the third biggest value in -0.31, -0.4, 2, -1/5? -0.31 Which is the second biggest value? (a) 20/47 (b) 2/3 (c) -5 a What is the third smallest value in 1/3, 5, -8? 5 Which is the fifth biggest value? (a) -2/3 (b) -2 (c) -7 (d) 1/6 (e) -2/125 c Which is the biggest value? (a) -2/13 (b) -4 (c) -7 (d) -2/9 a Which is the smallest value? (a) 1/5 (b) 0.5 (c) 2/9 (d) -2 d Which is the third smallest value? (a) -36 (b) 5 (c) -4/3 b What is the smallest value in 1, -4, 3, 2/3, 45? -4 Which is the third biggest value? (a) -1 (b) 142 (c) 0.1 (d) 4 c Which is the fourth smallest value? (a) -114 (b) 1/5 (c) 0.1 (d) 0 b What is the second biggest value in -27.5, 2, 3, 4? 3 Which is the third smallest value? (a) 4 (b) -1027 (c) -2/33 a Which is the fourth biggest value? (a) -0.5 (b) 5 (c) -1 (d) -95 d What is the fourth biggest value in -1, 6, 0.2, 4/3, 0? 0 Which is the fifth smallest value? (a) -2/5 (b) -0.3 (c) 60 (d) 2/5 (e) 0.3 c Which is the third smallest value? (a) 107 (b) 5 (c) 5/2 a Which is the fourth biggest value? (a) -3/5 (b) -9 (c) 2/7 (d) 3/4 b Which is the second smallest value? (a) -3 (b) -25 (c) 137 a What is the smallest value in 2, 0, -11? -11 What is the second smallest value in 0.2, 139, -5? 0.2 Which is the third smallest value? (a) -3/22 (b) 4 (c) -7/3 b What is the third smallest value in 0, 575, -4? 575 What is the biggest value in 3, -2/29, -49, 1? 3 What is the third smallest value in 2, 38, -10, 0.1? 2 Which is the fourth biggest value? (a) 5 (b) -0.5 (c) 53 (d) -5 d What is the biggest value in 0, -2, 11, 3? 11 Which is the third biggest value? (a) -3 (b) -12 (c) 0.1 (d) -1 (e) 4 d What is the third biggest value in 3/50, 1/3, -3/7, 1? 3/50 What is the second smallest value in 1/6, 0.583, -0.3, -0.1? -0.1 What is the fourth smallest value in 10, 1, -2/5, 1/2, -0.09? 1 Which is the third smallest value? (a) -2.7 (b) -19 (c) -2/15 c What is the third smallest value in 2297, -0.5, -0.3? 2297 What is the second smallest value in 0.4, 1, -0.07? 0.4 What is the third biggest value in 5, 44, 1? 1 Which is the second biggest value? (a) -5/3 (b) 0 (c) 1 (d) -2/13 (e) -1/2 b What is the third smallest value in 2/5, -3, 0.0065? 2/5 Which is the biggest value? (a) -1/12 (b) -0.057 (c) 3 c Which is the third smallest value? (a) -39.5 (b) -3/5 (c) -0.4 (d) -2 (e) 0 b Which is the biggest value? (a) -1 (b) -0.04 (c) 4 (d) 2/3 c What is the biggest value in 6, -0.1, 0.168? 6 What is the second biggest value in -5, 3/8, 5? 3/8 What is the second biggest value in 0, 2/1437, 2/5? 2/1437 What is the biggest value in -5/2, -5, 7? 7 What is the biggest value in -1/7, 1/13, 2/7, 0, -0.5? 2/7 Which is the third smallest value? (a) -5 (b) 1/3 (c) -1/2 b Which is the biggest value? (a) 3 (b) -16 (c) -2 a What is the fourth smallest value in -2, 1/8, -0.2, 5? 5 What is the smallest value in 0, 0.1, 1/2, -2? -2 What is the fourth biggest value in -3, 10, -2.84, 2/3? -3 What is the fourth smallest value in -46, -0.5, -3/7, -6, 0? -3/7 Which is the biggest value? (a) 1/777 (b) -2 (c) 2/7 (d) 0.3 d Which is the smallest value? (a) 1/3 (b) 5.5 (c) 0.07 (d) 4 c What is the fourth smallest value in 5, 9, 2, 1/8? 9 What is the third biggest value in -0.4, -1/21, 160? -0.4 Which is the biggest value? (a) 26 (b) -3 (c) 6 a What is the smallest value in 1/2, -4, 9/5, -1? -4 What is the biggest value in 0.5, 2/17, 2, 1394? 1394 Which is the third smallest value? (a) -2/3 (b) -1 (c) 1 (d) 6.5 c Which is the smallest value? (a) 2/9 (b) -83 (c) 0.5 (d) -2 b What is the biggest value in -0.5, -1, -31, 0.4? 0.4 What is the second biggest value in 3, 11/5, -3, 4? 3 What is the third biggest value in -3, 1/10, 9? -3 What is the second biggest value in -0.142, -1, 3? -0.142 What is the fourth smallest value in 1/6, 89, 0.4, -0.12, -4? 0.4 Which is the second biggest value? (a) 4 (b) -0.4 (c) 4/101 c Which is the third biggest value? (a) 0.2 (b) 3 (c) 0.01 (d) 9 a Which is the smallest value? (a) -0.2 (b) 5 (c) 1/5 (d) -0.5 (e) -54 e What is the smallest value in -17, -4, 0.05, 0? -17 What is the second biggest value in 13, 20, -0.5, -0.3? 13 What is the second biggest value in 1/2, 2, -255, -3? 1/2 What is the second smallest value in -1/5, -2/3, -75, 4? -2/3 Which is the biggest value? (a) 17 (b) -1 (c) -0.04 a Which is the third biggest value? (a) 3 (b) 10 (c) -12 c What is the second smallest value in 5, -12, -4, -5/3, 14? -4 What is the fourth biggest value in 5, -3, -3/8, 37? -3 Which is the second smallest value? (a) -1/12 (b) 7 (c) 1.3 c What is the third smallest value in 4, -5, -2/7, -71? -2/7 Which is the biggest value? (a) 1/4 (b) 0.08 (c) -2 (d) -1 a Which is the second biggest value? (a) 3 (b) -3 (c) -0.17 c What is the third bigge
{ "pile_set_name": "DM Mathematics" }
3/5)*y)/y)/y*y*y/(y/(y*y**6*y))*y*y**(-5/3)*(y**(-3/2)/y)/y assuming y is positive. y**(193/30) Simplify (y**(-29))**13 assuming y is positive. y**(-377) Simplify (y**1)**35 assuming y is positive. y**35 Simplify (n/(n*n/(n*n**(2/9)*n))*n)/(n/(n*n/((n*n**0*n)/n*n)))*(n*n**(-1))**(-34) assuming n is positive. n**(11/9) Simplify ((c**(-1/3)*c)**(-7/5))**17 assuming c is positive. c**(-238/15) Simplify ((l*l**(-8))/l)/(l/l**(-2/25))*l/l**(-2/3)*l*l/(l/(l**(-1/8)/l)) assuming l is positive. l**(-4523/600) Simplify ((i*i*(i**(6/5)/i)/i*i)/i)/i**17 assuming i is positive. i**(-79/5) Simplify (((g/(g*g**(-1)))/g*g)**(12/5))**16 assuming g is positive. g**(192/5) Simplify ((x**(3/4))**(-1/29))**(-27) assuming x is positive. x**(81/116) Simplify i**7*i*i**17*i assuming i is positive. i**26 Simplify ((((v*v/(v**(4/3)/v))/v*v)/v)/v)**(-2/31) assuming v is positive. v**(2/93) Simplify b**(-17)*b*b*(b*b/(b*(b*b**(-10))/b))/b*b assuming b is positive. b**(-4) Simplify o**(-5/7)/o**2 assuming o is positive. o**(-19/7) Simplify (b**(-9)/b*b/b**(-6))/(b**7/(b/(b**(-1/11)*b*b)*b)) assuming b is positive. b**(-109/11) Simplify ((((x**(1/4)*x)/x)/x*x)/x**(-1/8))**(1/34) assuming x is positive. x**(3/272) Simplify (m/((m*m**2)/m))**(-37) assuming m is positive. m**37 Simplify z**(-2/3)/(z**(-1)/z)*z**(-3/2)/((z/z**(-7))/z) assuming z is positive. z**(-43/6) Simplify o/(o**(2/5)*o)*((o*o/(o*o**(-7/6)/o*o)*o)/o)/o assuming o is positive. o**(23/30) Simplify (w**(-2))**(6/7)/((w**(-1/2)*w)/w**(4/7)) assuming w is positive. w**(-23/14) Simplify ((k/k**6*k)/k)/k*(k**(2/3)/k)/k*(k**(-1/3))**(-41) assuming k is positive. k**(19/3) Simplify r**(2/87)/(r/(((r*((r/r**(-16))/r*r*r)/r*r)/r)/r*r)) assuming r is positive. r**(1481/87) Simplify (n/n**(4/9))/n**(-3/11) assuming n is positive. n**(82/99) Simplify p*p**16*p**22 assuming p is positive. p**39 Simplify n**(-3/10)/n*n/n**(-16) assuming n is positive. n**(157/10) Simplify ((u*u**1/u*u)/u**(-2/29))**(-8) assuming u is positive. u**(-480/29) Simplify t*t**1*(t/t**(-4))/t*(t**0)**(-3/4) assuming t is positive. t**6 Simplify i**(-2/13)/(i/(i*i**3/i))*i**(-7)/i**(-4) assuming i is positive. i**(-15/13) Simplify t**(-5/4)*t/(t*t*((t*t/(t*(t/((t*t*t/t**0*t)/t))/t))/t)/t*t)*t**(-3/4)*t*t**(-1) assuming t is positive. t**(-6) Simplify ((w*w/w**(-3/5))/w)**(-15/11) assuming w is positive. w**(-24/11) Simplify p*p*p**(-3/7)*p/p**(-2/9) assuming p is positive. p**(176/63) Simplify (r**(-5)*r*r*r*r/r**(-7))**(-25) assuming r is positive. r**(-150) Simplify ((t/t**3)/t**(-3))**(9/13) assuming t is positive. t**(9/13) Simplify (m**(3/7)*m**(-2/11))/((m*m**3)/(m*m**(-1)/m)) assuming m is positive. m**(-366/77) Simplify (w*w**(2/3))**(22/7)*w/(w**(-3)/w*w)*w/((w/(w*(w*w**(2/19))/w))/w) assuming w is positive. w**(4526/399) Simplify (j*j**(-2/7)*j*j*j*j**(-2/17))/(j/(j*j**(-1)))**(-6/17) assuming j is positive. j**(470/119) Simplify (q/(q*q**0*q))**(-6)*(q/q**1*q)**(-1/9) assuming q is positive. q**(53/9) Simplify (y**(2/21))**(2/147) assuming y is positive. y**(4/3087) Simplify t**(1/26)/(t/(t/(t*t**4))*t) assuming t is positive. t**(-155/26) Simplify p**47*p*p*p*p*p*p**(-13) assuming p is positive. p**39 Simplify (p**22)**44 assuming p is positive. p**968 Simplify (h/h**(-15)*h)/(h/(h/(h*h/h**7))) assuming h is positive. h**22 Simplify (b*b**(-1/4))**(2/37) assuming b is positive. b**(3/74) Simplify ((g*g**(-2/5))/g*g)**(9/7)*g/(g*g**5/g)*g**(-8) assuming g is positive. g**(-393/35) Simplify (x*x**(1/3)/x*x**(-3/5))/(x**(2/5))**(-13) assuming x is positive. x**(74/15) Simplify ((((j*j**3*j)/j*j*j)/j)/j)**(-1/23) assuming j is positive. j**(-4/23) Simplify (f**0)**(-19)*(f/((f*f*f**5*f*f*f*f*f)/f))/(f/(f*f/(f/(f*f/((f*(f*(f**(-8)/f)/f)/f)/f)))*f)) assuming f is positive. f**3 Simplify (i**4/((i*i**(1/11))/i*i))/(i/i**2)**21 assuming i is positive. i**(263/11) Simplify g**(3/4)*g/((g*g**43*g)/g) assuming g is positive. g**(-169/4) Simplify (t**(-2)/t*t*t*t**(5/3)/t)/(t**1)**(-4/9) assuming t is positive. t**(1/9) Simplify (r**(-8))**(-47) assuming r is positive. r**376 Simplify n**(-32)*n/(n/n**(12/5)) assuming n is positive. n**(-148/5) Simplify ((n/(n*n**(-2/3)/n)*n)**23)**(5/18) assuming n is positive. n**(460/27) Simplify ((c*c**6)/(((c**(-2)*c)/c)/c))/(c*c**1)**(5/6) assuming c is positive. c**(25/3) Simplify (n**(-1/4))**(-40) assuming n is positive. n**10 Simplify ((k*k*k/(k*k**6*k*k))/k)**9 assuming k is positive. k**(-63) Simplify ((l*l**(2/5))/l**(-7))/(l**(-2/9)/(l**(-1)*l*l*l)) assuming l is positive. l**(478/45) Simplify (n**(-43))**35 assuming n is positive. n**(-1505) Simplify v**(-1/13)/((v**(-2/11)/v)/v) assuming v is positive. v**(301/143) Simplify l*l**(2/3)*l/l**3*((l**(-3)*l)/l)/l*l*l**(-5)*l assuming l is positive. l**(-22/3) Simplify (b**(2/7)/b)**44*((b**7/b)/b)/b**(-4) assuming b is positive. b**(-157/7) Simplify x**(-40)/(x/x**4) assuming x is positive. x**(-37) Simplify ((h*h*h**(1/2))**(-20/9))**(-25) assuming h is positive. h**(1250/9) Simplify (m/(m**(-3/10)/m)*m)**(-6/13) assuming m is positive. m**(-99/65) Simplify ((y*y**(3/5)/y*y*y)/y*(y*y**2/y)/y)**15 assuming y is positive. y**39 Simplify ((v/(v**(-4/9)/v))/v*v**(2/9))/(v/(v/v**0)*v**(4/3)/v) assuming v is positive. v**(4/3) Simplify ((t*t**(-6))/t**4)/(t/t**(-5/3)*t*t*t**5/t*t*t) assuming t is positive. t**(-59/3) Simplify (c*c**1)**(1/14)*c**(-5)*c**(-2/11)/c*c assuming c is positive. c**(-388/77) Simplify ((f*f**1)**(-45))**4 assuming f is positive. f**(-360) Simplify u**(-35)*u*u/(u/u**(-1/4)) assuming u is positive. u**(-137/4) Simplify (a**(-20)*a)/a**(-18) assuming a is positive. 1/a Simplify (c**(2/11)/c)/(c/((c**(-6)*c)/c))*c**(2/11)*c/c**(2/19) assuming c is positive. c**(-1409/209) Simplify ((u**2)**(-8/9))**(-2/7) assuming u is positive. u**(32/63) Simplify (u**1/u)**(-2/3)/((u**(-5)*u)/(u/(u/((u*u**(6/11)*u*u*u)/u))*u)) assuming u is positive. u**(94/11) Simplify (t**0)**14/((t*t**(2/17))/t*t**5) assuming t is positive. t**(-87/17) Simplify ((q/(q/(q*q**(-3))*q))/((q**(2/9)/q)/q))/((q*q**(3/2))/q**(1/3)) assuming q is positive. q**(-61/18) Simplify ((u**(-2/33)/u)/(u*u*u**4*u))/(u*u*u**(-2/3)*u*u*u)**(1/6) assuming u is positive. u**(-1739/198) Simplify t**4*t/(t*t**(1/5))*(t/(t*t/(t*t/(t**(-3)*t)*t)))/t**(-6) assuming t is positive. t**(69/5) Simplify (o**(4/3)*o*o*(o**(1/3)/o*o)/o)/(o/(o*o*o/(o**(-1/6)/o*o)))**(-1) assuming o is positive. sqrt(o) Simplify (q/(q/(q/(q**(2/21)*q))*q))/(q*q*q**(-10/7)) assuming q is positive. q**(-5/3) Simplify ((m**4*m)/m)/m*(m/(((m/(m*m*(m*m**(-2/31))/m))/m*m)/m))/m assuming m is positive. m**(153/31) Simplify ((j*j**1/j)/(j**(2/3)*j))/(j*j*j*j**(-4)/j*j*j**4*j) assuming j is positive. j**(-14/3) Simplify (y/y**5)**21 assuming y is positive. y**(-84) Simplify w*w*w**(-3/2)*w**19*w assuming w is positive. w**(41/2) Simplify (l**1)**(1/31)/(l**(-2/3))**(-26) assuming l is positive. l**(-1609/93) Simplify (x/(x**(-2)*x*x)*x/(x**(5/4)/x*x))**(-40) assuming x is positive. x**(-30) Simplify (p**(1/3)/p)**(-4/13) assuming p is positive. p**(8/39) Simplify ((u/(u*u*(u*u**(3/4))/u))/(u*u**(-9)*u))/(u**6/u*u*u/(u*(u*u/(u/u**(8/5)*u)*u)/u)*u*u*u) assuming u is positive. u**(-43/20) Simplify (v**7*v)/v**(2/35)*(v**(1/3))**(1/50) assuming v is positive. v**(8347/1050) Simplify z/z**4*z/(z*z*(z/(z**(-11)/z*z))/z) assuming z is positive. z**(-15) Simplify ((x/(((x**3*x)/x)/x))/x)**18 assuming x is positive. x**(-36) Simplify ((q**8/q)/q*q)**13 assuming q is positive. q**91 Simplify o/(o*o**(-8/3))*o/o**8 assuming o is positive. o**(-13/3) Simplify (g*(g/(g**(-2/7)*g)*g)/g)**(-7/3)/((g**11/g)/(g*(g/g**(-11))/g)) assuming g is positive. 1/g Simplify z*(z/z**0)/z*z*z**(-1/4)*z*(((z/(z/z**(-1)))/z*z)/z)**(2/51) assuming z is positive. z**(545/204) Simplify (g**(-1)/g)**31*g**(-1/2)/(g/g**(-3)*g*g) assuming g is positive. g**(-137/2) Simplify d/d**(3/5)*(d**(1/9)*d)/d assuming d is positive. d**(23/45) Simplify (g*g**(1/12)*g)**(-30) assuming g is positive. g**(-125/2) Simplify ((f*((f**(-20)/f)/f)/f*f*f)/f)/(f**(-7/4)*f) assuming f is positive. f**(-81/4) Simplify i**(-11)/i*i**2 assuming i is positive. i**(-10) Simplify (l**0*l*l**(-3/2))/(l**(1/3))**46 assuming l is positive. l**(-95/6) Simplify ((s*s**2)/s*s)**(-12)
{ "pile_set_name": "DM Mathematics" }
3*o - j, r*j - 18 = 7*o - 2*o for o. -2 Let r be ((-10)/(-3) + 14/21)/1. Solve -2*u + 20 = -r*b, 2*u + 3*b = 5*b + 10 for u. 0 Let j = -115 + 120. Solve 5*q - 13 - j = 2*d, 10 = -2*d + 3*q for d. 1 Let s be 22/4 - 4/8. Suppose 0 = -j + 5*d + 29, -s*j + 25 = 3*d - 4*d. Suppose 0 = 19*u - 414 - 289. Solve -3*y - 2*n = -n + 12, -5*y = -j*n + u for y. -5 Let b be -1*-3*(1 - 0). Let p be 5/2*(-12)/(-10). Suppose 0 = p*c - 15, 2*f - c + 0 = 3. Solve 6*q - q = -f*l + 2, b*l = 2*q - 10 for l. -2 Let x = 52 - 42. Solve x + 8 = -f - 4*p, -p - 13 = -4*f for f. 2 Suppose 12 = 32*w - 30*w. Solve 2*r = -2*l + w, -3*l + 2*r = 4*r - 4 for l. -2 Suppose 3*g = 4*g + 5*g. Suppose -5*z + 2*a + 23 = g, 3*a - 7*a = 4*z - 24. Solve -3*x - z*h + 24 = 0, -x - 4*h = 1 - 16 for x. 3 Let u(f) = f - 1. Let c be 2/7 + (-130)/(-35). Suppose c*q + 15 = 9*q. Let m be u(q). Solve -19 = n + 4*w, 21 = -2*n - 5*w - m for n. 1 Let o(h) = h**3 + 2*h**2 - 2. Let b be o(1). Suppose -4*z = -4*w - 8, b = z + 5*w - 7. Solve 2*g = -v + z, 5 = -5*v - 2*g - 4 for v. -3 Let m = 6 - -8. Let t(j) be the first derivative of 2*j**3/3 - 21*j**2/2 - 3*j + 8. Let p be t(11). Solve -3*q - m = -f, 0 = q - 5*f + p + 6 for q. -4 Suppose 94*r - 2513 = 495. Suppose -4*d = -k - 17, k - 9 = -2*d - 2. Suppose 5*a + d = 19. Solve -l = 2*l - 4*s + r, 0 = -3*l + a*s - 27 for l. -4 Suppose 0*b + 5*b + 780 = 0. Let t = b - -156. Let a = 19 + -11. Solve t*p + p = -m - a, p = -5*m - 20 for p. -5 Suppose -o - 4*q = -16, 3*o - 8*o + 5*q = -30. Let b(p) = 3*p - o*p + 5*p + 2*p**2 - 4*p. Let z be b(2). Solve 2*d - 3 + 13 = -k, 4*d - k + 14 = z for d. -4 Let s(v) = -v**2 + 15*v + 18. Let t be s(16). Let w(o) = -o - 1. Let q be w(-7). Let m be (-30)/(-7) - 4/14. Solve 0 = t*f - q*x + 3*x + 10, -3*x = f - m for f. -2 Suppose 1 + 15 = 4*m. Suppose m*a - 5*v - 28 = -77, 5*a - 5*v = -55. Let u be 141/6 + (-3)/a. Solve -4*n + 16 = 0, -4*n = l - 9*n + u for l. -4 Let h be 30/8 + (-1)/(4/3). Solve h*d + 4 = -4*r, -3*d = -2*r - 2*r + 20 for d. -4 Suppose 0 = -2*l - 6, -6 = 5*g - 2*g + 4*l. Let t(y) = 3*y**2 - 4*y. Let n be t(g). Solve 9*m - 4*m + 23 = -u, -n*m - 10 = -2*u for u. -3 Suppose -269*b + 20 = -267*b - 4*d, -b + 4*d = -18. Solve -2*s - 23 = 3*n - 19, -2*s = -b*n + 14 for s. -5 Let b be 18/4 - (-11 - 147/(-14)). Solve -5*w + 20 = b*t, -8*w - 3*t = -3*w - 16 for w. 2 Suppose x + 3*b = 7, -3*x + 3 = -2*x + 2*b. Let v be x/(-1*4/16). Let p be (-1 - -3)*3 + -2. Solve -j = -p*f + v, -4*j = -3*f + 19 + 9 for j. -4 Let o(c) = -c**2 - 51*c - 635. Let z be o(-30). Let p(j) = -2 + 7 - 3 + 5*j**2 + j**3. Let t be p(z). Solve -5*m - 2*u = -16, 2*m + u - t = 4 for m. 4 Suppose -2*m - 3*h - 55 = -48, h - 3 = -2*m. Solve p - m = -r + 4*p, -4*p = -2*r + 6 for r. 1 Let d = 4 + 0. Suppose -d*a - 28 = -4*n - 0*a, 0 = n + 2*a + 8. Solve -x + 24 = n*i + 3*i, 24 = 3*x + 3*i for x. 4 Let t = 78 + -75. Solve 3*s - 3*y + 2*y = -9, -t*y + 1 = 4*s for s. -2 Suppose -5*p - 77 = -62, -3*p - 9 = -3*w. Let i(u) = -u**2 - 9*u - 10. Let z be i(-7). Solve z*a + 5*r + 11 = 0, -r - 5 + w = -2*a for a. 1 Let p(o) = -4*o**2 + 2*o. Let y be p(-6). Let h = y - -156. Solve h = 3*w - v, w + 2*v + 11 = 6*v for w. 1 Suppose 0 = k - 0*k - 5, -5*f + 35 = 4*k. Let o(p) = -p**2 - 7*p - 10. Let g be o(-4). Solve -4*j + g*i - 4 = 0, -f*i - 2*i - 2 = 2*j for j. -1 Let b = -642 - -642. Solve w + 5*o + 14 = -6, b = -w + 2*o + 15 for w. 5 Suppose -s = 4*s - 15. Let p be 9/(-15)*((-1)/(-6))/((-18)/540). Solve s*z = 4*g - 8, p*g + 2*z + 1 - 7 = 0 for g. 2 Suppose -5*w + 1 = -2*x, -7 = 13*x - 16*x - w. Solve 4*h - 4 = -4*m - 12, 0 = x*h - m + 7 for h. -3 Let i be (-12)/15 - (-28)/10. Suppose i*f + 6 = 10. Solve -s - 5 = -f*q, q - 5 = 4*s + 15 for s. -5 Let y be 10/3*84/8. Suppose -36 = -2*q + 3*j, 5*q = 2*j + y + 44. Solve -4*b - q = d, 0 = -3*b + 2*d - 2 - 1 for b. -3 Let i = 50 + -40. Suppose -i*z + 6*z + 10 = -2*q, -4*q + 8 = -z. Solve 2*b - 5*k - 11 - 11 = 0, -z*b = -4*k - 20 for b. 1 Let s be (-10)/3*96/80*-1. Solve r - 1 = -5*g - 2, s = -4*r + 2*g for r. -1 Let m = -3 - -8. Suppose -3*p + 42 = -5*o, -3*p + 0*o - m*o = -12. Solve -w + 17 = 5*r, w + 2*r = -r + p for w. -3 Suppose -54 = 3*v - 4*p, -3*v = p + 23 + 16. Let w = 16 + v. Suppose -w*g + 3*m + 10 = -0*m, -16 = -4*g + 4*m. Solve o + 3*i = 2*i, g*i = 0 for o. 0 Let n(t) = t**3 - 4*t**2 - 2*t + 8. Let q be n(4). Let b be 1*(q - -3) + (-50 - -49). Solve 4*y = -4*z - 4, b*z + 2*y = -z - 1 for z. 1 Let p be -1 - (-30)/18 - 4/6. Solve -3*k = -2*g, g + 3*g - 4*k = p for g. 0 Let z(o) = -4*o**2 - 60*o + 68. Let h be z(-16). Solve -5*v = h*k - 4, 3*k = -4*v + 14 - 11 for k. 1 Let g(o) = o**2 - 3*o + 3. Let u be g(3). Suppose 1 = -2*f - u. Let v(z) = -z + 2. Let w be v(f). Solve -4*q = -a + 13, -4*q - 4*a + w = 12 for q. -3 Let w(d) = d**3 - 4*d**2 + 5*d - 4. Let j be w(3). Suppose 0 - 8 = -j*h. Suppose -3*g = -4*g + 4, -h*q - g = -16. Solve 5*k + 8 = 33, q*c + 5 = 4*k for c. 5 Suppose -d - 5*k + 13 = 0, -4 - 5 = -d - 3*k. Solve -3*x = d*t - 0*x + 21, 0 = 4*t - x + 18 for t. -5 Suppose 0 = -2*t - t. Suppose 45 = 4*b + 5*q, -2*b + t*b - 5 = -3*q. Suppose -4*g - b = -57. Solve j - g = -2*x, 3*j - 8 = -3*x + 19 for j. 5 Suppose 3*f - 3*a = 6, -f = 4*f + a - 28. Solve f*o = 3*n + 27, 0 = 6*o - o - 4*n - 31 for o. 3 Suppose 20*q - 12 = 19*q - 3*s, -s = -4*q - 4. Solve q = -2*t - 4, -3*b + 5*b + 8 = -5*t for b. 1 Let w be 4/(-10) + ((-32)/(-5) - 1). Suppose 15 = -3*h - 5*q, w*h = -0*q + 2*q + 6. Solve 5*g + h*g = -3*m - 37, 0 = 5*g + 25 for m. -4 Suppose 0*d + 6*d = 18. Let g(w) = -w**3 + 2*w**2 + 6*w - 7. Let l be g(d). Solve l = -2*y - 4*r - 4, 5*r + 21 = 2*y for y. 3 Let y = -12 + 18. Suppose 4*a = -y + 26. Suppose a*h - 13 = 2. Solve -2*v = -3*c - 7, -h*c + 1 = 2*v - 0*c for v. 2 Suppose -k - 3*a = -3*k + 3, 4*k + 2*a = -2. Let q be k + -3 - -8 - 3. Suppose 10*z - 13*z + 15 = 0. Solve l = -l + i + q, i = -z*l + 5 for l. 1 Let i be (-6)/(-8)*5*(-4)/(-3). Suppose r + 3*r - 12 = 0. Solve -t = m - i*t + 23, 5*m = -r*t for m. -3 Suppose j + 4*m = -14, 0 = -5*j - 3*m + 15. Let l = -1 + j. Suppose -5*z + l*b - 10*b + 10 = 0, -2*b = 0. Solve -z*r + 6*r = -5*g - 24, -9 = 5*r + g for r. -1 Let f be ((-7)/1)/((-4)/(-12)). Let b = 24 + f. Suppose -i = -b*i. Solve -2*p - n - 7 = 0, -3*p + 2*n = -i*n + 14 for p. -4 Let d = 3 - 1. Let r be ((-2)/(-8))/(16/(126 - -2)). Solve h + r - 5 = d*a, 3*a + 7 = h for h. -5 Let p be (-2 + 6)*(-8)/(-4). Let w = 2 + p. Let k = 1 + w. Solve -2*l - k = -5*v, l - 4*v = -v - 6 for l. -3 Let l(a) = -a**2 + 9*a + 14. Let p be l(10). Suppose -p*k = v - 24, -3*v - 3*k - 17 = -44. Solve v*u = n + 18, n = -5*u + 2 + 16 for u. 4 Suppose -2*q + 0*c - 8 = 5*c, 5*c = 2*q - 32. Let o(b) = -18 + 21 + 2*b - b. Let a be o(q). Solve 0 = 5*p + 3*j - 4*j - a, -p + 17 = -4*j for p. 1 Suppose -2*n + 5*n = 9. Let b(a) = 34*a + 1838. Let l be b(-54). Solve 8 = -2*t + i, -l*i = t - n*i + 6 for t. -2 Let a(u) = 2*u - 2. Let g = -66 + 69. Let q be a(g). Solve q*i + 3 = 5*s, 2*s - 5*s = 3 for i. -2 Let g = 242 - 238. Solve -4*c + 4*w + g = 0, -7*c - 3*w - 35 = -2*c for c. -4 Let p be (-3)/(1 - 4) + (19 - 0). Suppose -7*g + 3*g = -p. Solve 0*r - 2*r - 2*w = 0, -g*r - w + 4 = 0 for r. 1 Let i be 9/(-42) - 45/(-14). Solve 8 = -5*c + c, -3*c = -i*y + 21 for y. 5 Let f(y) = -6*y**3 - 2*y**2 - y. Let t be f(-1). Let v = t - 8. Let g be (0 + (-4)/3)*v. Solve -3*w - 1 = -g*h, -3*w - w - 4*h - 20 = 0 for w. -3 Suppose -d + 28 = 3*d + 4*h, 0 = 3*d - h - 13. Suppose 2*z = -3*z + d, 4*r - 4*z = 20. Solve j = -5*q - 15, q = -q - j - r for q. -3 Suppose -5*q - 15 = 3*m, -17 = 4*m - 2*q + 3. Let i be (-84)/(-10) + 2/m. Solve h - 5*r + i = 0, -4*h + 3*h + 3*r = 6 for h. -3 Let z(n) = 12*n - 151. Let q be z(13). Solve 3*r = 2*o + 8, -q*o - r + 3*r - 9 = 0 for o. -1 Let b(t) = 5*t - 30. Let c be b(9). Let k be (c/10 - 3)*-2. Solve -k*z + 36 = 2*z - 4*y, 4*z - 36 = 5*y for z. 4 Let v(w) = 2*w**2 - 17*w + 1. Let g be v(8). Let z = -3 - g. Solve 28 = -4*o - 4*t, -1 = -5*o + 3*t + z for o. -2 Suppose d - 3*s + 18 = 26, 3*d + 3*s = 0. Solve d*t - 3*x = -3*t + 2, 3*x - 7 = -4*t for t. 1 Suppose 0 = 42*t - 25*t - 51. Solve -4*f = 3*z - 22, 5*z - t*f + 1 = -1 for z. 2 Suppose -2*o + 4*y = -4*o, 5*o = y. Suppose 3*j = -o*j + 9. Solve -3*c = -4*c - u -
{ "pile_set_name": "DM Mathematics" }
-175797, -175051, -174125, -172983, -171589? 6*u**3 + 380*u - 177701 What is the h'th term of -975, -3253, -6767, -11517, -17503, -24725, -33183? -618*h**2 - 424*h + 67 What is the g'th term of -9558111, -9557910, -9557575, -9557106, -9556503? 67*g**2 - 9558178 What is the o'th term of -62017508, -124035010, -186052512, -248070014? -62017502*o - 6 What is the x'th term of 838, 2193, 5910, 13177, 25182, 43113, 68158? 198*x**3 - 7*x**2 - 10*x + 657 What is the v'th term of 106, 526, 1294, 2458, 4066, 6166, 8806? 8*v**3 + 126*v**2 - 14*v - 14 What is the w'th term of -221796, -443586, -665362, -887118, -1108848, -1330546? w**3 + w**2 - 221800*w + 2 What is the n'th term of -25258, -50690, -76122, -101554, -126986? -25432*n + 174 What is the j'th term of -24649, -24649, -24645, -24637? 2*j**2 - 6*j - 24645 What is the b'th term of -3433481, -3433483, -3433485, -3433487, -3433489, -3433491? -2*b - 3433479 What is the b'th term of 5861237, 5861236, 5861241, 5861258, 5861293, 5861352, 5861441? b**3 - 3*b**2 + b + 5861238 What is the n'th term of -1098, -4045, -8844, -15495, -23998, -34353, -46560? -926*n**2 - 169*n - 3 What is the w'th term of -318435, -320728, -323023, -325320, -327619, -329920? -w**2 - 2290*w - 316144 What is the d'th term of 1115, 1978, 3417, 5432, 8023, 11190? 288*d**2 - d + 828 What is the n'th term of -661497, -661435, -661373? 62*n - 661559 What is the j'th term of 123742, 247503, 371284, 495085, 618906, 742747, 866608? 10*j**2 + 123731*j + 1 What is the n'th term of -8123565, -16247128, -24370691, -32494254? -8123563*n - 2 What is the b'th term of -161456, -645871, -1453220, -2583497, -4036696, -5812811, -7911836? b**3 - 161473*b**2 - 3*b + 19 What is the j'th term of 1807, 3590, 5343, 7066, 8759, 10422, 12055? -15*j**2 + 1828*j - 6 What is the j'th term of 822, 367, -388, -1443, -2798, -4453, -6408? -150*j**2 - 5*j + 977 What is the g'th term of -12641, -11868, -11109, -10370, -9657, -8976, -8333, -7734? -g**3 - g**2 + 783*g - 13422 What is the k'th term of -161, -519, -1301, -2717, -4977, -8291? -35*k**3 - 2*k**2 - 107*k - 17 What is the n'th term of -22525830, -22525831, -22525832, -22525833? -n - 22525829 What is the d'th term of 2760155, 2760174, 2760193, 2760212, 2760231, 2760250? 19*d + 2760136 What is the g'th term of 422737, 422751, 422765? 14*g + 422723 What is the y'th term of 638794, 638795, 638796, 638797, 638798? y + 638793 What is the g'th term of -11702, -27664, -43622, -59576? 2*g**2 - 15968*g + 4264 What is the c'th term of -70259115, -140518235, -210777345, -281036439, -351295511, -421554555? c**3 - c**2 - 70259124*c + 9 What is the v'th term of -3390117, -6780217, -10170309, -13560393? 4*v**2 - 3390112*v - 9 What is the i'th term of 9019, 16687, 24355, 32023, 39691? 7668*i + 1351 What is the n'th term of -282279, -564790, -847303, -1129818? -n**2 - 282508*n + 230 What is the s'th term of 33056, 34915, 39988, 49883, 66208, 90571, 124580? 268*s**3 - s**2 - 14*s + 32803 What is the t'th term of -37330675, -37330694, -37330713, -37330732, -37330751, -37330770? -19*t - 37330656 What is the p'th term of -957, -3730, -8251, -14442, -22225, -31522, -42255? 13*p**3 - 952*p**2 - 8*p - 10 What is the w'th term of 14938, 59675, 134236, 238621? 14912*w**2 + w + 25 What is the k'th term of -3170, -3215, -3286, -3383, -3506, -3655, -3830? -13*k**2 - 6*k - 3151 What is the w'th term of -56904, -113828, -170754, -227682, -284612, -341544, -398478? -w**2 - 56921*w + 18 What is the m'th term of -6403, -6350, -6215, -5956, -5531, -4898, -4015? 7*m**3 - m**2 + 7*m - 6416 What is the y'th term of 2669, 2660, 2607, 2480, 2249, 1884, 1355, 632? -5*y**3 + 8*y**2 + 2*y + 2664 What is the p'th term of -2401096, -2401110, -2401126, -2401144, -2401164, -2401186? -p**2 - 11*p - 2401084 What is the b'th term of 4534, 9068, 13624, 18208, 22826, 27484? b**3 + 5*b**2 + 4512*b + 16 What is the h'th term of -4358, -16977, -37848, -66965, -104322, -149913, -203732? h**3 - 4132*h**2 - 230*h + 3 What is the r'th term of -93133008, -93133006, -93133002, -93132996, -93132988, -93132978, -93132966? r**2 - r - 93133008 What is the r'th term of -12803, -25612, -38431, -51260? -5*r**2 - 12794*r - 4 What is the a'th term of -31952, -32231, -32510, -32789, -33068? -279*a - 31673 What is the w'th term of -416, -1610, -3552, -6248, -9704? -w**3 - 368*w**2 - 83*w + 36 What is the m'th term of 46, 1354, 2662? 1308*m - 1262 What is the p'th term of -719606, -719661, -719810, -720101, -720582, -721301, -722306, -723645? -8*p**3 + p**2 - 2*p - 719597 What is the a'th term of 13027, 27233, 41433, 55627? -3*a**2 + 14215*a - 1185 What is the b'th term of 6309, 25523, 57665, 102759, 160829, 231899? 4*b**3 + 6440*b**2 - 134*b - 1 What is the a'th term of 2262, 2313, 2422, 2595, 2838, 3157, 3558, 4047? a**3 + 23*a**2 - 25*a + 2263 What is the c'th term of -1368, -1148, -774, -240, 460, 1332, 2382, 3616? c**3 + 71*c**2 - 1440 What is the p'th term of -4562, -9279, -14140, -19139, -24270, -29527, -34904? p**3 - 78*p**2 - 4490*p + 5 What is the z'th term of -1201756, -2403473, -3605190, -4806907, -6008624, -7210341? -1201717*z - 39 What is the m'th term of 123897, 123808, 123719, 123630? -89*m + 123986 What is the t'th term of 643711251, 643711252, 643711253, 643711254, 643711255, 643711256? t + 643711250 What is the z'th term of -27410387, -27410385, -27410383? 2*z - 27410389 What is the a'th term of -481627, -963349, -1445071, -1926793, -2408515? -481722*a + 95 What is the j'th term of -76432784, -152865569, -229298354, -305731139? -76432785*j + 1 What is the s'th term of 509, 3869, 12923, 30503, 59441? 472*s**3 + 15*s**2 + 11*s + 11 What is the x'th term of 85018, 84626, 84234, 83842, 83450, 83058? -392*x + 85410 What is the l'th term of -11106540, -11106534, -11106528, -11106522? 6*l - 11106546 What is the b'th term of -1840780, -3681589, -5522398? -1840809*b + 29 What is the o'th term of 3045, 26011, 88829, 211425, 413725, 715655? 3321*o**3 - 281*o + 5 What is the c'th term of -38729, -77586, -116441, -155294? c**2 - 38860*c + 130 What is the w'th term of 18959325, 18959321, 18959317, 18959313, 18959309? -4*w + 18959329 What is the q'th term of -630, -1655, -3142, -5097, -7526, -10435, -13830? -q**3 - 225*q**2 - 343*q - 61 What is the l'th term of 342, -105, -904, -2061, -3582, -5473, -7740, -10389? -l**3 - 170*l**2 + 70*l + 443 What is the l'th term of -17834, -36096, -54780, -73886, -93414, -113364? -211*l**2 - 17629*l + 6 What is the f'th term of 11813959, 23627916, 35441871, 47255824, 59069775, 70883724, 82697671? -f**2 + 11813960*f What is the l'th term of 134634, 269185, 403736, 538287, 672838, 807389? 134551*l + 83 What is the i'th term of -116, -253, -440, -659, -892, -1121, -1328? 3*i**3 - 43*i**2 - 29*i - 47 What is the r'th term of 3846, 18721, 44622, 81549? 5513*r**2 - 1664*r - 3 What is the u'th term of -3838, -7679, -11470, -15181, -18782, -22243, -25534, -28625? 5*u**3 - 5*u**2 - 3861*u + 23 What is the n'th term of 127374, 135114, 142854? 7740*n + 119634 What is the m'th term of -8257526, -8257528, -8257530? -2*m - 8257524 What is the u'th term of -23029, -47760, -72491, -97222, -121953, -146684? -24731*u + 1702 What is the o'th term of -63626, -127082, -190538, -253994, -317450? -63456*o - 170 What is the m'th term of 161653, 322340, 483027, 643714, 804401? 160687*m + 966 What is the x'th term of -219, -255, -343, -483, -675? -26*x**2 + 42*x - 235 What is the k'th term of -39253961, -39253959, -39253955, -39253949? k**2 - k - 39253961 What is the c'th term of 107536, 107382, 107228, 107074, 106920? -154*c + 107690 What is the g'th term of -203351091, -203351092, -203351093, -203351094? -g - 203351090 What is the h'th term of -181241, -725042, -1631409, -2900342, -4531841? -181283*h**2 + 48*h - 6 What is the n'th term of -3018983, -3018948, -3018911, -3018872, -3018831, -3018788? n**2 + 32*n - 3019016 What is the h'th term of -3918, -7855, -11800, -15759, -19738? -h**3 + 2*h**2 - 3936*h + 17 What is the m'th term of 3549, 5857, 5547, 1311, -8159, -24171, -48033, -81053? -218*m**3 - m**2 + 3837*m - 69 What is the o'th term of -8548890, -8548880, -8548848, -8548782, -8548670, -8548500, -8548260? 2*o**3 - o**2 - o - 8548890 What is the l'th term
{ "pile_set_name": "DM Mathematics" }
2 - 4*m**2. Let y(p) = -2*p**2. Calculate y(s(x)). -1250*x**4 Let v(i) = -46*i**2 - 1. Let y(f) = 7*f**2. Calculate v(y(m)). -2254*m**4 - 1 Let o(i) = 5*i**2. Suppose -3*l = 0, 0 = 3*z - 5*z - 4*l + 4. Let f(j) = j**z - j**2 - j**2 - j**2. Give o(f(g)). 20*g**4 Let j(y) = -3*y. Let u be (6/27)/((-4)/(-6)). Let q(t) be the second derivative of 0*t**2 - u*t**3 + 0 - t. Give q(j(d)). 6*d Let o(n) = 13*n. Let x(k) = -1492*k. Give x(o(b)). -19396*b Let o(n) be the third derivative of 0 + 0*n**3 + 0*n**4 + 0*n + 1/15*n**5 - 4*n**2. Let s(f) = -f**2. What is s(o(v))? -16*v**4 Let g(z) = z. Let a(v) be the first derivative of v**3 + 4. Give a(g(t)). 3*t**2 Let f(x) = 16*x**2. Let o(s) be the third derivative of -s**5/15 - 35*s**2. Give f(o(b)). 256*b**4 Let w(j) be the second derivative of -1/6*j**4 + 3*j + 0 + 0*j**3 + 0*j**2. Let c(y) be the second derivative of -y**4/4 - y. Determine c(w(r)). -12*r**4 Let u(c) = -5*c. Let q(p) = 6*p. Let l(m) = -6*q(m) - 7*u(m). Let g(z) = 67 + z - 67. Give l(g(n)). -n Let i(x) be the second derivative of x + x**2 + 0*x**4 + 0 + 0*x**3 + 1/60*x**5. Let c(v) be the first derivative of i(v). Let w(t) = 3*t. What is c(w(g))? 9*g**2 Let m(a) = 20*a + 2*a - 3*a. Let b(w) = 2*w. What is m(b(l))? 38*l Let x(o) be the third derivative of 0 + 1/6*o**4 + 0*o**3 + 0*o - 2*o**2. Let l(m) = 2*m. Give l(x(a)). 8*a Let j(m) = -2*m**2 + 5*m - 5*m. Let w(c) be the first derivative of c**3/3 + 4. Give j(w(y)). -2*y**4 Let j(g) = -2*g**2. Let c(h) = h**2 - 20*h. Calculate j(c(z)). -2*z**4 + 80*z**3 - 800*z**2 Let o(t) = 23*t. Let x(h) = -5*h + 5*h + h. Determine o(x(p)). 23*p Let c(m) = 4*m. Let d(t) = 292*t**2. Determine c(d(h)). 1168*h**2 Let p(c) be the first derivative of c**2 + 3. Let y(b) = -b**3 - 8*b**2 - 8*b - 5. Let q be y(-7). Let k(j) = 0 + 0 - 4*j**q. Determine k(p(z)). -16*z**2 Let q(b) = -b + 4. Let c(m) = -m + 5. Let s(w) = -4*c(w) + 5*q(w). Let t be (-6)/(-8)*8/2. Let h(n) = -6*n + t*n + 4*n. Calculate s(h(z)). -z Let a(b) be the third derivative of b**5/60 - 5*b**2. Let c(v) = -8*v. Give c(a(s)). -8*s**2 Let r(m) = -m**2. Let b(w) = 193*w**2 - 28. What is b(r(f))? 193*f**4 - 28 Let z(y) = 2*y**2. Let w(n) = -n**2 + n. Let j(r) = 5*r**2 - 6*r. Let t(k) = j(k) + 6*w(k). Give t(z(x)). -4*x**4 Let f(h) be the first derivative of 36*h**3 + 23. Let k(d) = 2*d. Calculate f(k(l)). 432*l**2 Let t(o) = 29*o. Let u(c) = 5*c. What is u(t(b))? 145*b Let s be 1*4 - (6 - 7). Let p(c) = 2*c. Let y(m) = 3*m. Let t(r) = s*p(r) - 3*y(r). Let n(l) = 6*l. Determine t(n(b)). 6*b Let m(v) = -10*v. Let d(t) be the first derivative of t**5/30 + 2*t**2 - 1. Let g(y) be the second derivative of d(y). What is m(g(j))? -20*j**2 Let n(h) = -h + 1. Let c(a) = -8*a + 6. Let v(r) = c(r) - 6*n(r). Let u(l) be the third derivative of l**4/24 - 7*l**2. Calculate u(v(z)). -2*z Let f(a) = -a**2. Let w(o) = o. Let t(j) = -5*j. Let s = 7 + -11. Let d(n) = s*t(n) - 22*w(n). Calculate d(f(r)). 2*r**2 Let d(g) = -39*g**2. Let p(y) = -2*y**2 - 5*y + 5. Let k(r) = 3*r**2 + 7*r - 7. Let t(o) = -5*k(o) - 7*p(o). Give d(t(h)). -39*h**4 Let j(t) = 1405 - 1405 + 3*t. Let u(g) = 8*g**2. Determine u(j(n)). 72*n**2 Let p(j) = -4*j. Let v(t) = 6*t**2 - 28*t. Determine p(v(l)). -24*l**2 + 112*l Let a(v) = 5*v + 4. Let b(m) = 9*m + 7. Let h(n) = 7*a(n) - 4*b(n). Let c(z) = -2*z**2. Calculate c(h(f)). -2*f**2 Let r(m) be the third derivative of m**6/360 - 4*m**3/3 + 9*m**2. Let c(h) be the first derivative of r(h). Let z(k) = -2*k. Give z(c(y)). -2*y**2 Let k(y) = 9*y. Let g(s) be the third derivative of -s**4/24 - 6*s**2. Give g(k(r)). -9*r Let y(q) = -5*q**2. Let s(u) be the third derivative of -u**5/60 + 4*u**2. What is s(y(g))? -25*g**4 Let p(a) = 2*a. Let x(m) = -34*m**2 - 5*m - 5. Let i(y) = -51*y**2 - 8*y - 8. Let k(h) = 5*i(h) - 8*x(h). Give k(p(n)). 68*n**2 Suppose 3*b - 6 = b. Let j(i) be the second derivative of 0 + 2*i - 1/3*i**b + 0*i**2. Let h(g) = -g**2. Determine j(h(z)). 2*z**2 Let n(u) = u**2 - u. Let z(d) = 10*d**2 - 8*d. Let w(o) = -8*n(o) + z(o). Suppose 3*i + 3 = 12. Let h(j) = i*j**2 - 4*j**2 + 3*j**2. Determine h(w(b)). 8*b**4 Let o(i) be the third derivative of -i**5/60 + 11*i**3/6 - 33*i**2 + 1. Let v(z) = -2*z**2. Give v(o(y)). -2*y**4 + 44*y**2 - 242 Let z(l) be the first derivative of -5*l**4/24 + 4*l**2 - 5. Let a(f) be the second derivative of z(f). Let h(w) = 3*w**2. Calculate h(a(y)). 75*y**2 Let p(v) = v**2. Let x(q) = -q**2 - 2*q**2 + 5*q**2. Give p(x(h)). 4*h**4 Let p(l) = 3986*l**2. Let n(w) = w. Calculate n(p(c)). 3986*c**2 Let m(j) = -j. Suppose i - 2 = -6. Let u(h) = -h**2 - 4*h + 2. Let z be u(i). Let f(x) = 3*x**2 + 1 - 2*x**z - 1. Give m(f(k)). -k**2 Let y(j) = j**2. Let s(u) = -u + 1. Let t(h) = 4*h**2 - 2*h + 2. Let r(x) = 2*s(x) - t(x). What is r(y(b))? -4*b**4 Let s(b) = 3*b**2. Let u(n) = 1 - 4*n - 2 + 1. Determine u(s(z)). -12*z**2 Let k(y) be the first derivative of y**5/40 - 2*y**3/3 - 2. Let p(f) be the third derivative of k(f). Let j(s) = -2*s. Give j(p(a)). -6*a Let s(m) be the first derivative of -m**3/3 + 3*m - 3. Let k(x) be the first derivative of s(x). Let p(b) = 3*b**2. Calculate p(k(y)). 12*y**2 Let k(q) = -137*q**2. Let g(v) = 10*v. Determine k(g(h)). -13700*h**2 Let f(a) be the first derivative of a**2 + 1. Let o(u) = -u + 3. Let y be o(0). Let d(s) = -y*s + 6*s - 4*s. Calculate f(d(m)). -2*m Let s(i) = -13*i - 5. Let b(k) = 55*k**2. Calculate b(s(j)). 9295*j**2 + 7150*j + 1375 Let w(c) be the third derivative of -c**4/24 + 23*c**2. Let t(u) = -7*u**2 + 3. Calculate t(w(p)). -7*p**2 + 3 Let r(o) = o. Suppose j - 3*z + 8 = -4, 0 = -4*j - 2*z + 22. Suppose -2*f + j = -1. Let h(s) = -6*s + 2*s + f*s. What is r(h(k))? -2*k Let b be 9/2*(-4)/(-6). Let d(q) = b*q**2 + 0*q**2 - 4*q**2 - q**2. Let r(f) = 2*f. What is d(r(w))? -8*w**2 Let r(v) = -2*v**2 + 85*v. Let x(g) = 2*g**2. Determine r(x(t)). -8*t**4 + 170*t**2 Let r(g) = -g**2. Let n(c) be the second derivative of c**7/2520 + c**4/3 + 3*c. Let i(h) be the third derivative of n(h). Determine i(r(l)). l**4 Let w(a) = -2*a**2. Let x(o) = 107*o**2 - 202*o**2 + 50*o**2. Calculate w(x(t)). -4050*t**4 Let u(f) = 6*f**2. Let q(y) be the first derivative of -5*y**2/2 - 49. Determine u(q(g)). 150*g**2 Let p(g) be the first derivative of -4*g**3/3 + 52. Let t(q) = -q. Calculate p(t(s)). -4*s**2 Let d(b) = -11*b**2 + 7*b + 7. Let f(q) = -6*q**2 + 4*q + 4. Let m(w) = -4*d(w) + 7*f(w). Let k(u) = -3*u**2 + 6*u**2 + 2*u**2 - 3*u**2. Calculate k(m(s)). 8*s**4 Let c(g) = -30*g**2. Let x(b) = b - 4. Let q(f) = 5*f - 22. Let o(j) = 2*q(j) - 11*x(j). Determine o(c(p)). 30*p**2 Let m(l) = 168*l**2 - 8. Let n(x) = -2*x. Calculate m(n(j)). 672*j**2 - 8 Let w(h) = -116*h. Let c(m) = -m. Calculate c(w(o)). 116*o Let w(u) = u. Let g(q) = 2*q**2 - 4*q. What is g(w(v))? 2*v**2 - 4*v Let y(q) = -2*q. Let i(t) be the first derivative of -t**5/60 - 2*t**3 + 5. Let f(h) be the third derivative of i(h). Give y(f(l)). 4*l Let q(n) = 2*n**2. Let k(s) = -8*s + s**2 - s + 9*s. Let a(j) = 6*k(j) - 2*q(j). Let z(y) = -4*y**2. Determine z(a(b)). -16*b**4 Let p(h) = -2*h**2. Let m(z) = 1674*z. Determine p(m(u)). -5604552*u**2 Let k(m) = -413*m - 3. Let a(l) = 2*l**2. Calculate k(a(p)). -826*p**2 - 3 Let o(s) = 4*s**2. Let n(b) = b**2 - b + 1. Let k be n(3). Let t(r) = r**3 - 8*r**2 + 8*r - 3. Let q be t(k). Let u(h) = -3 + q - 2*h - 1. Calculate u(o(p)). -8*p**2 Let t(s) = 8*s**2 + 3*s + 3. Let w(f) = -15*f**2 - 5*f - 5. Let u(c) = 5*t(c) + 3*w(c). Let v(r) = r. Give v(u(m)). -5*m**2 Let b(n) be the first derivative of 0*n**3 + 0*n + 1/12*n**4 + 2 - n**2. Let p(c) be the second derivative of b(c). Let a(r) = -r. Calculate p(a(u)). -2*u Suppose 5*v - 14 = 21. Suppose 9 = -8*i + 41. Let x(p) = -2*p**2 + i*p**2 - v*p + 7*p. Let a(j) = 2*j**2. What is a(x(u))? 8*u**4 Let t(h) be the first derivative of h**3/6 + h + 1. Let i(l) be the first derivative of t(l). Let y(w) = 22*w**2 - 54*w**2 + 29*w**2. Determine i(y(m)). -3*m**2 Let q(b) = -1. Let j(c) = 4*c + 12. Let x(l) = j(l) + 12*q(l). Let w(f) = 4*f**2 + 3*f. Let u(k) = 7*k**2 + 5*k. Let m(s) = 6*u(s) - 10*w(s). What is x(m(n))? 8*n**2 Let r be ((0 - 2)*2)/(-2). Let i(q) = -q**2 - r*q**2 + 6*q**2. Let j(x) = 2*x. Determine j(i(b)). 6*b**2 Suppose -2
{ "pile_set_name": "DM Mathematics" }
lculate the greatest common factor of 5082 and 3402. 42 What is the greatest common divisor of 37345 and 5775? 385 Calculate the highest common divisor of 224009 and 697. 17 What is the highest common divisor of 43228 and 15836? 428 What is the highest common divisor of 156 and 397254? 78 Calculate the greatest common divisor of 182 and 19799. 13 Calculate the highest common factor of 81104 and 48. 16 What is the highest common divisor of 8455 and 5605? 95 What is the greatest common factor of 90688 and 4784? 208 Calculate the greatest common divisor of 64 and 19504. 16 Calculate the highest common divisor of 19698 and 10500. 42 What is the highest common factor of 5883 and 2775? 111 Calculate the highest common factor of 37 and 18167. 37 What is the greatest common factor of 15 and 1478490? 15 Calculate the highest common factor of 25623 and 14391. 351 Calculate the highest common divisor of 16991 and 26. 13 Calculate the highest common divisor of 44968 and 240240. 616 What is the greatest common factor of 455112 and 378? 378 What is the highest common factor of 32226 and 35670? 246 What is the highest common divisor of 6890 and 161330? 130 Calculate the highest common divisor of 2059 and 12702. 29 What is the greatest common divisor of 20517 and 21? 21 Calculate the greatest common factor of 1224 and 15708. 204 What is the highest common divisor of 13768936 and 652? 652 Calculate the greatest common divisor of 88 and 17675768. 88 What is the highest common factor of 26184 and 158195? 1091 What is the greatest common divisor of 11 and 430529? 11 Calculate the greatest common factor of 126 and 40734. 18 What is the highest common factor of 156 and 1774? 2 What is the highest common factor of 296 and 792? 8 What is the greatest common divisor of 885 and 12095? 295 What is the highest common factor of 432839 and 33? 11 What is the greatest common factor of 33121 and 55? 11 Calculate the highest common factor of 88785 and 30. 15 What is the greatest common factor of 1236 and 1245? 3 Calculate the greatest common factor of 225 and 48075. 75 What is the greatest common factor of 2179947 and 154? 77 Calculate the highest common factor of 1784 and 1720. 8 What is the greatest common divisor of 44850 and 15? 15 Calculate the greatest common factor of 9 and 64227. 3 Calculate the highest common divisor of 113 and 16404210. 113 Calculate the greatest common divisor of 936 and 67626. 234 Calculate the highest common divisor of 50094 and 25254. 414 What is the greatest common divisor of 33823 and 3405? 227 What is the greatest common factor of 9984 and 546? 78 What is the greatest common factor of 16259 and 142? 71 Calculate the highest common divisor of 62 and 815083. 31 What is the highest common factor of 144 and 126? 18 Calculate the highest common divisor of 1369641 and 13. 13 Calculate the highest common factor of 71724 and 139. 139 Calculate the highest common divisor of 189328 and 64. 16 What is the greatest common factor of 190 and 253010? 10 Calculate the highest common divisor of 978 and 258. 6 Calculate the greatest common divisor of 572143 and 1859. 143 Calculate the highest common factor of 923398 and 112. 14 What is the highest common factor of 13246 and 26850? 358 Calculate the greatest common divisor of 87710 and 98. 98 Calculate the greatest common divisor of 824860 and 40. 20 Calculate the highest common divisor of 1932 and 601174. 322 What is the highest common factor of 20940 and 60? 60 Calculate the greatest common divisor of 35184 and 6744. 24 Calculate the highest common divisor of 7627 and 52337. 263 Calculate the greatest common factor of 3 and 41091. 3 Calculate the highest common divisor of 18438930 and 285. 285 Calculate the greatest common factor of 108 and 18384. 12 Calculate the highest common divisor of 234 and 37026. 18 Calculate the greatest common divisor of 12 and 155. 1 What is the highest common factor of 3157 and 17831? 11 What is the greatest common divisor of 42 and 56826? 42 Calculate the greatest common factor of 990 and 7655. 5 Calculate the highest common divisor of 954 and 12240. 18 What is the highest common factor of 15314416 and 61? 61 Calculate the highest common divisor of 18333 and 21049. 679 What is the highest common factor of 1881 and 7733? 209 Calculate the highest common divisor of 2 and 9710. 2 Calculate the highest common factor of 6 and 593094. 6 Calculate the greatest common divisor of 26 and 636896. 26 Calculate the greatest common divisor of 103220 and 130. 130 Calculate the highest common factor of 148500 and 340. 20 Calculate the greatest common divisor of 306 and 60843. 51 What is the greatest common divisor of 67872 and 672? 672 What is the greatest common divisor of 437910 and 660? 330 Calculate the greatest common divisor of 2908260 and 151. 151 What is the greatest common factor of 171218 and 236? 118 What is the greatest common factor of 192 and 67296? 96 Calculate the highest common divisor of 58590 and 180. 90 Calculate the highest common divisor of 1178763 and 1479. 1479 Calculate the highest common divisor of 1443 and 76791. 39 What is the greatest common divisor of 15477 and 8085? 231 What is the highest common divisor of 11398 and 246? 82 Calculate the highest common divisor of 26 and 56121. 13 Calculate the greatest common divisor of 72206 and 158. 158 What is the greatest common divisor of 2716 and 448? 28 Calculate the greatest common factor of 39 and 2085. 3 What is the greatest common factor of 7331 and 9? 1 Calculate the greatest common divisor of 427999 and 33. 11 What is the greatest common divisor of 8160 and 22980? 60 Calculate the greatest common divisor of 70 and 14470. 10 What is the highest common divisor of 5599 and 40720? 509 Calculate the greatest common factor of 58 and 623094. 58 What is the greatest common factor of 1211129 and 331? 331 Calculate the greatest common factor of 635922 and 14. 14 Calculate the highest common factor of 25818 and 663. 39 What is the highest common divisor of 350 and 328510? 70 What is the highest common factor of 34648 and 16? 8 Calculate the greatest common divisor of 226890 and 270. 90 Calculate the highest common factor of 30 and 84670. 10 Calculate the highest common factor of 1073904 and 1404. 156 What is the highest common divisor of 400 and 134075? 25 What is the highest common factor of 8 and 16108? 4 Calculate the highest common divisor of 5380 and 6440. 20 Calculate the greatest common divisor of 108234 and 126. 126 What is the greatest common divisor of 1045 and 6080? 95 Calculate the greatest common factor of 65772 and 84. 84 What is the greatest common divisor of 72 and 4090536? 72 What is the highest common factor of 132 and 57882? 66 What is the highest common divisor of 1384 and 12975? 173 Calculate the highest common divisor of 30216 and 4. 4 What is the greatest common factor of 117 and 56407? 13 Calculate the greatest common factor of 235158 and 1386. 462 Calculate the greatest common divisor of 54454 and 342. 38 Calculate the highest common divisor of 180 and 222732. 36 Calculate the greatest common divisor of 39 and 1614353. 13 Calculate the greatest common factor of 86877 and 3087. 441 Calculate the highest common divisor of 8120 and 1155. 35 What is the greatest common divisor of 805 and 5543? 23 What is the highest common divisor of 9798 and 32982? 138 Calculate the highest common divisor of 1724276 and 340. 68 What is the greatest common divisor of 128845 and 365? 365 What is the greatest common factor of 11 and 3894253? 11 Calculate the highest common divisor of 5526864 and 1008. 1008 What is the greatest common divisor of 56900 and 80? 20 Calculate the highest common divisor of 1096 and 43018. 274 Calculate the greatest common factor of 10 and 634. 2 Calculate the highest common divisor of 601242 and 6. 6 Calculate the greatest common divisor of 776 and 430292. 388 What is the greatest common factor of 99880 and 1760? 440 Calculate the greatest common divisor of 1 and 419233. 1 What is the greatest common divisor of 1008 and 5328? 144 What is the highest common factor of 5460 and 254280? 780 Calculate the highest common factor of 45 and 34835. 5 Calculate the highest common factor of 1141 and 14996.
{ "pile_set_name": "DM Mathematics" }
*q - 336602*q)*(2 - 3 + 2) as p + h*q and give h. -29719 Rearrange -11*c + 5*c**4 + 123*c**3 - 11*c + 14 - 125*c**3 + 23*c to the form t*c**3 + i*c**2 + o*c**4 + h*c + n and give h. 1 Express (-3*q**2 - 52*q**2 - 42*q**2)*(0*q - 2*q + 0*q)*(1 - 4 + 4)*(-2 - 2 - 4) as u*q**2 + l + d*q**3 + s*q and give d. -1552 Rearrange 30481*l + 13642*l**2 - 15236*l - 15245*l to the form d*l + g*l**2 + m and give g. 13642 Rearrange 17329*l - 38280*l + 16854*l to the form h*l + n and give h. -4097 Rearrange -20*p**2 + 6*p**2 + 1 + 14*p**2 - 6*p**2 + 3*p**3 - 56*p + 4*p**2 to the form d + a*p + c*p**3 + g*p**2 and give a. -56 Rearrange -105*z**2 - 2*z**3 + z**3 - 90*z**2 + 376*z**2 - 13*z to the form l*z**2 + u + n*z + y*z**3 and give l. 181 Express 0 + 609*l - l**2 + 649*l - 1 - 2*l**2 - 1314*l as p + k*l + j*l**2 and give j. -3 Express -970*d**3 + 122*d**4 - d + 53*d**4 - 4*d**2 + 2*d**2 - 177*d**4 in the form c*d + y*d**2 + s + h*d**4 + p*d**3 and give c. -1 Express -260*c + 464*c - 203*c + 254 as b + s*c and give b. 254 Rearrange 10326*i + 8274*i - 6255*i + 4861*i + 4343*i to o*i + r and give o. 21549 Express -30*v**2 + 105*v**2 - 21*v**2 - 28*v**2 - 12929*v**3 - 28*v**2 as w*v + c + h*v**2 + a*v**3 and give a. -12929 Express 7*z - 30*z - 1166 + 1207 in the form l + f*z and give f. -23 Rearrange 74*g**2 + 2*g**3 - 40*g**2 + 42*g**4 + 5*g**4 - 33*g**2 - 2*g + 19*g**4 to the form j*g + t*g**3 + q + w*g**4 + i*g**2 and give j. -2 Express -2273 + k**2 + 252*k + 0*k**2 + 2271 + k**3 - 5*k**3 + 2*k**4 in the form a*k**2 + o*k**3 + x + f*k + c*k**4 and give f. 252 Express 19782 - 5*g - 41024 + 20318 in the form y*g + q and give y. -5 Express -7665*s**3 - 8494*s**3 - 7438*s**3 + 22360*s**3 + 3*s**4 + s**2 in the form x*s**2 + k*s**3 + q + b*s**4 + u*s and give b. 3 Rearrange 27 + 3364*q**2 - 14 - 13 to the form i + y*q + x*q**2 and give x. 3364 Express (-3*w**2 + w**2 + w**2)*(2 - 2 - 4*w) + 648*w - 1197*w**3 + 656*w + w**2 - 1300*w in the form b*w**2 + x + i*w**3 + z*w and give b. 1 Rearrange (-s + s + 2*s)*(-22*s + 95503 - 95507 + 103*s) to the form u*s**2 + b*s + z and give u. 162 Rearrange (0 + 2 - 3)*(-1291*x + 507*x + 5276*x) to the form m + l*x and give l. -4492 Rearrange 140 - 1221*w - 41 - 53 - 46 to f + j*w and give j. -1221 Rearrange (5*g**2 - 2*g**2 - 4*g**2)*(7 - 2 - 3740465*g + 3739261*g) to the form y*g + i*g**3 + o + w*g**2 and give i. 1204 Express 6824*x**2 + 651*x**2 + 3372*x**2 - 2 - 429*x**2 as t + h*x**2 + w*x and give t. -2 Rearrange 78*x**2 + 798 + 1460*x**4 - 3*x - 1462*x**4 - 797 to the form h*x**3 + f + q*x**2 + n*x**4 + r*x and give f. 1 Express (3 - 5 + 1)*((1 - 1 - 2*b**2)*(-1 + 1 + 1) + (-6569 + 3470 + 4094)*(2*b**2 - 3*b**2 + 4*b**2)) in the form j*b + u*b**2 + t and give u. -2983 Rearrange -39*v**2 - 1919*v + 24*v**2 + 2*v**3 - 13*v**2 + 30*v**2 to the form p*v**3 + l*v**2 + d*v + f and give p. 2 Express 19 + 75*d + d**3 - 16 - 77*d + d**2 as s*d + b*d**3 + a*d**2 + y and give s. -2 Rearrange (0 - h + 0)*(-39 + 39 - 45*h)*(0*h + h - 4*h) + (0*h - 5*h - 2*h)*(h**2 - 2*h**2 - 4*h**2) to the form j*h + x + m*h**3 + l*h**2 and give m. -100 Express (-6*p + 4*p - 15*p)*(-14*p**3 + 3*p**3 - 4*p**3)*(-2 + 0 - 2 + (-3 + 0 + 5)*(-3 + 4 + 1) + 5 - 4 + 1) as r*p**4 + u*p + w*p**2 + k*p**3 + a and give r. 510 Rearrange 2187 + 1019 + 30*r**3 - 29*r**3 to the form q*r + f + g*r**2 + m*r**3 and give f. 3206 Rearrange (-2*s + 9*s - s)*(342745*s - 70 + 278 - 342751*s) to m*s + a + d*s**2 and give a. 0 Express ((-4 + 3 + 2)*(0*b + 2*b - 4*b) - 59 - 10*b + 59)*((b**2 + b**2 - b**2)*(0 + 2 + 1) - 2972 + 2972 + 27*b**2) as h*b + v + f*b**2 + k*b**3 and give k. -360 Rearrange ((4 - 3 - 3)*(3 - 1 + 1) + 1 - 1 + 4)*(-28*g + 43*g - 36*g) to the form u + q*g and give q. 42 Express (4*m**2 - 6*m**2 + 0*m**2)*(-104*m + 201*m - 129*m) - m**3 + 1 + 1 + 3 as q*m**2 + r + g*m + u*m**3 and give u. 63 Express -s - 2 - 6 - 6*s**2 + 1 + 10 - 18*s in the form p*s + y*s**2 + m and give y. -6 Rearrange (t - 11*t - 6*t)*(64*t**3 - 543*t**3 + 244*t**3) to n + p*t**2 + d*t + w*t**3 + m*t**4 and give m. 3760 Rearrange 2*f**4 - 50*f**2 + 5 + 53*f**2 - 3*f + 23*f**3 - 23*f**3 + 0 to the form y + l*f**4 + o*f + x*f**2 + i*f**3 and give o. -3 Rearrange -2*o**3 - 4*o - 308 + 2*o**3 + 2*o + 3*o**3 + 342 to the form p + z*o**2 + a*o**3 + l*o and give l. -2 Express -1745*i**2 + 0 + 3 - 7 + 4 + 1 - i in the form u + f*i**2 + t*i and give f. -1745 Express (1 + 0 + 0)*(1 - z - 1)*(1 - 1 - 1) + 6339*z + 7475*z + 11779*z as n*z + a and give n. 25594 Express -43470*g**3 + 43449*g**3 + 2*g**2 - 48*g + 301*g in the form h*g**3 + s*g**2 + w*g + l and give s. 2 Rearrange (8154*f + 6212*f + 18035*f)*(2*f**3 + 0*f**2 + 0*f**2) to a*f**2 + q*f**4 + r + x*f + h*f**3 and give q. 64802 Express -26513*m**3 - 26526*m**3 + 52967*m**3 + 11*m as z*m**3 + h*m + f*m**2 + p and give h. 11 Rearrange -2*u + 4969 + 687 + 3033 to the form t + b*u and give b. -2 Express (-5*d + d - d)*(-56 - 31 + 129) - 2*d + 4*d + 0*d in the form s + h*d and give h. -208 Rearrange (2*m - 101 - 182*m**2 + 180*m**2 - 4*m)*(-3*m + 3*m - m + (-4*m - 3*m + 5*m)*(2 - 1 - 2)) to z*m + u*m**3 + y + i*m**2 and give i. -2 Rearrange (-3 + 3 + 1)*(-2 - c**3 + 2) - 14390*c**3 - 189483254 + 189483254 to the form y*c**3 + a*c**2 + l*c + h and give y. -14391 Express (-p + p + 2*p**2)*(-48*p + 54*p - 49*p) + 5*p**2 - 8*p**3 - 5*p**2 as x + f*p**2 + h*p**3 + v*p and give h. -94 Rearrange -1125 + 383 + 372 - 216*c + 379 to o + v*c and give v. -216 Express (0 + 0 - 2*f)*(-3*f - 2*f + 3*f)*(-77313*f + 65154*f - 92022*f - 33660*f - 43220*f) as z + d*f**2 + p*f + s*f**3 and give s. -724244 Rearrange 1083310 - 940*x - 605*x - 1083298 to the form m + r*x and give m. 12 Rearrange (0 + 4 - 3)*(13 + 5 - 13)*(-996*g - 2153*g - 2134 + 2134) to p + n*g and give n. -15745 Rearrange -69*d + 151*d + 8*d**2 + 204 - 15*d - 5*d**3 - 67*d to y*d**3 + p*d + o*d**2 + j and give j. 204 Express -2340*b - 58 - 2515*b - 59 + 117 as l + q*b and give q. -4855 Express ((2*t**2 - 14*t**2 + 6*t**2)*(0*t + 3*t - t) + 3*t**3 + 0 + 0)*(15 - 13*t - 15) in the form h*t**4 + a*t**3 + b*t**2 + d + c*t and give h. 117 Rearrange 263*x**2 - 5943*x - 261*x**2 + 4198*x - 5750*x to the form g*x + v*x**2 + n and give v. 2 Express (-30*v**2 - 38*v**2 + 126*v**2)*(11 + 2*v - v - 28) as k*v + j*v**2 + s + z*v**3 and give j. -986 Rearrange -13*i - 2*i + 3*i + (-429*i + 608*i + 228*i)*(2 - 2 - 1) to y + o*i and give o. -419 Express n + 8*n**2 + 4 - 5*n**2 - n**2 + 2*n**2 + 2*n**2 + n**4 - n**3 in the form o*n + y*n**3 + c + w*n**2 + h*n**4 and give h. 1 Express -3388*p + 8319*p - 3798*p as h + x*p and give x. 1133 Rearrange (-55*k**3 - 507*k + 507*k)*(20 - 20 + 26*k) to the form q*k + z*k**3 + o + y*k**2 + v*k**4 and give v. -1430 Rearrange -3*y**3 + 50 - 50 - 2*y**3 - 724*y**3 - 3*y**3 + (3*y**2 + 2*y**2 - 6*y**2)*(4*y - 5*y - 2*y) to the form j + d*y**3 + g*y + h*y**2 and give d. -729 Express -28 + 363*m**2 + 4*m + 58 - 4*m - 24 as r*m + q*m**2 + g and give g. 6 Express 8*w**3 + 27*w - 3*w**3 - 5*w**4 + 11*w + 131 - 133 - 4*w**3 as k*w**3 + c*w**4 + m*w + s + i*w**2 and give m. 38 Rearrange -6*c**4 - 8*c**3 + 984 - 990 + 2*c**3 + 4*c**4 + 4*c to the form u*c**4 + a*c**2 + g*c + f + m*c**3 and give g. 4 Express -6439166*p + 1624 + p**2 + 6439166*p in the form q*p**2 + z + r*p and give z. 1624 Express (-12 + 7 + 4)*(-3 + 3 - 2 + (4 - 4 + 1)*(-1 + 0 - 1) + 0 + 3 - 1 - 1 + 3 - 1)*(12*k - 20 + 20) in the form u + f*k and give f. 12 Express 714 + 720 - 1434 - 431*v in the form h + c*v and give c. -431 Express 19 - 53 + s**3 + 30 - 83*s**2 + s - 21*s**3 as i*s**2 + j + w*s**3 + n*s and give n. 1 Rearrange -457*v**3 - v + 246*v**3 + 3*v**2 + 230*v**3 + 2 + 3*v - 9*v**4 to h*v**2 + l*v**3 + q*v**4 + c + n*v and give c. 2 Express (-7172 + 6034 - 12638 - 3174 - 8382)*(-2 + 2 + 4*a) as g*a + x and give g. -101328 Rearrange 0*t**2 - 12*t**3 - 2*t**2 + 3981*t - 3*t**2 - 6 - 4006*t + 4*t**2 to w*t**2 + q*t + f*t**3 + s and give w. -1 Rearrange (3*o**3 + 13373*o**2 - 13373*o**2 + 14*o)*(2*o - 6*o + 3*o) - 3*o**4 + 7*o**4 - 22*o**4 to the form k*o + p*o**4 + c*o**2 + q + d*o**3 and give p. -21 Rearrange -10*s**2 + 17378*s**4 + 12*s**2 - 17381*s**4 + 4 + 22*s**3 to r*s**4 + k*s**2 + y*s + a*s**3 + u and gi
{ "pile_set_name": "DM Mathematics" }
b)? 2*b + 2 Let i(s) = 4 + 3*s**2 + 2 - 4 + 7*s + 4*s**3 + 2*s**2. Let y(o) = 2*o**3 + 3*o**2 + 4*o + 1. Determine -3*i(d) + 5*y(d). -2*d**3 - d - 1 Let d be 1/(-2) - (-18)/(-12). Let j be 0 + (4 + 0)/d. Let a(z) = 6*z. Let u(f) = f. Let i be 8 + (0/2 - -2). What is i*u(r) + j*a(r)? -2*r Let c(j) = -17*j - 4. Suppose -w - 104 = 3*w. Let p(d) = -4*d - 1. Determine w*p(r) + 6*c(r). 2*r + 2 Let v(q) = 7*q + 10. Let b be v(-2). Let s(h) = -12*h**3 - 11*h**2 - 11*h + 11. Let g(j) = j**3 + j**2 + j - 1. Calculate b*s(l) - 44*g(l). 4*l**3 Let v(n) = 12*n**2 + 8*n + 8. Let p(j) = -13*j**2 - 7*j - 7. What is 6*p(w) + 5*v(w)? -18*w**2 - 2*w - 2 Let o(l) = -5 + 4 - l**2 + 2*l**2 + l. Let y(z) = 4*z**2 + 5*z - 3 + 6*z - 7*z. Let b(t) = t + 5. Let p be b(-3). Give p*y(n) - 7*o(n). n**2 + n + 1 Let a(q) = -9*q**2 - q - 40. Let n(w) = -5*w**2 - w - 20. Give 3*a(r) - 5*n(r). -2*r**2 + 2*r - 20 Let q(i) = -2*i + 5. Let u = -3 - 3. Let k(l) = 2 - 3 + 1 + 1. What is u*k(r) + q(r)? -2*r - 1 Let n(t) = t**3 + t. Let u(r) = 3*r**3 + r**2 + 6*r. Suppose v - 10 = -5. Determine v*n(x) - u(x). 2*x**3 - x**2 - x Let z(g) = 2*g. Let x(d) be the first derivative of 3*d**2/2 + 3. Let v(u) = -u**2 + 0 - 3*u**2 - 1 - 2*u - 2*u**2. Let w be v(-1). Determine w*z(c) + 3*x(c). -c Let x = -14 - -14. Suppose -2*g + 10 = -x*g. Let q(p) = 2*p + 5. Let d(o) = -2*o - 4. Calculate g*d(w) + 4*q(w). -2*w Let w(i) = -5*i**2 - 5*i - 4. Let d(u) = -u**2 + 1. Let q be d(-1). Suppose -2 = -q*l - l. Let a(x) = 6*x**l + 9*x + 0*x**2 + 3*x**2 + 7. Give -4*a(h) - 7*w(h). -h**2 - h Let p(j) = 2*j**3 + 5*j**2 + 6*j + 5. Let f(n) = n**3 + 2*n**2 + 3*n + 2. Determine 5*f(w) - 2*p(w). w**3 + 3*w Let t(h) = -3*h + 5. Let p(l) = 54*l - 56. Let a(k) = 11*k - 11. Let w(x) = 14*a(x) - 3*p(x). Suppose 3*i + 7 = 22. Determine i*w(f) - 14*t(f). 2*f Let v(r) = 1. Let h(s) = s**2 + 5*s - 2. Let u be h(-5). Let a(x) = -17*x + 12. Let b(n) = u*v(n) - a(n). Let q(l) = -6*l + 5. Give -4*b(p) - 11*q(p). -2*p + 1 Let x(a) = 2*a**3 - 4*a**2 - 3*a + 3. Let r(j) = 4*j**3 - 7*j**2 - 5*j + 5. Let k = 17 + -22. Determine k*x(p) + 3*r(p). 2*p**3 - p**2 Let u(j) = -10*j**3 + 6*j**3 + 0*j**3. Let s(g) = 2*g**3. Give -5*s(w) - 2*u(w). -2*w**3 Let s = -107 - -102. Let t(z) = -17*z**3 + 5. Let f(x) = 9*x**3 - 3. Calculate s*f(b) - 3*t(b). 6*b**3 Let c(i) = 13*i**3 + 9*i**2 + 4*i - 5. Let z(q) be the first derivative of -3*q**4/4 - 2*q**3/3 - q**2/2 + q - 29. Calculate -2*c(x) - 9*z(x). x**3 + x + 1 Let m(a) = -2*a - 3. Let b(s) = 3*s + 3. Determine 3*b(x) + 2*m(x). 5*x + 3 Let i(d) = -4*d + 3. Let c(p) = -2*p - 5. Let j(z) = 2*z + 4. Let r(s) = 5*c(s) + 6*j(s). Determine -3*i(a) - 7*r(a). -2*a - 2 Let g(t) = t**2 + t. Suppose -v + 32 = v. Let c = -10 + v. Let x(f) = -2*f**2 - 3*f. Suppose -152*d - 8 = -156*d. What is c*g(k) + d*x(k)? 2*k**2 Let u(i) = 989*i**3 + 207*i**2 - 207*i + 207. Let b(f) = -19*f**3 - 4*f**2 + 4*f - 4. Calculate 207*b(d) + 4*u(d). 23*d**3 Let d(s) = -4*s**3 - 15*s + 4. Let c(u) = -2*u**3 - 7*u + 2. Let m be (-2)/(-1*8/(-52)). Give m*c(x) + 6*d(x). 2*x**3 + x - 2 Let n(c) = -44*c + 15. Let m(d) = 15*d - 5. Let k(x) = 17*m(x) + 6*n(x). Let s(p) = -2 - 14*p + 5 + 5. What is -8*k(v) + 5*s(v)? 2*v Suppose 5*i + 12 = 7*i. Let w(h) = 23*h**3 + 11*h**2 + 11*h + 11. Let q(v) = -6*v**3 - 3*v**2 - 3*v - 3. Calculate i*w(z) + 22*q(z). 6*z**3 Let g(a) be the second derivative of 0 - a + 3/2*a**2 + 1/3*a**4 - 1/3*a**3. Let x(h) = -7*h**2 + 3*h - 5. Determine -5*g(u) - 3*x(u). u**2 + u Let q(a) = 13*a**3 - 6*a**2 - 6. Let m(o) = 26*o**3 - 13*o**2 - 13. Calculate 6*m(u) - 13*q(u). -13*u**3 Let y(s) = -9*s + 6. Let w(b) = 2*b + 2*b - 12*b + 11 - 9*b. What is -6*w(k) + 11*y(k)? 3*k Let i(t) = -15*t - 75. Let l(f) = 3*f + 15. Calculate -5*i(a) - 24*l(a). 3*a + 15 Let v(z) = 12*z - 3. Let r(p) = -13*p + 2. Determine -5*r(i) - 4*v(i). 17*i + 2 Let q(l) = 2*l**3 + 5*l - 1. Let t(x) = 3 - 2 + 6*x + 2*x - 12*x - 2*x**3. What is -3*q(c) - 4*t(c)? 2*c**3 + c - 1 Let q = 2 - 3. Let k(l) = -2*l**3 + 3*l + 2. Let u(x) = -2*x**3 - 4*x - 1. Let g(h) = -h**3 - 3*h - 1. Let z(c) = -3*g(c) + 2*u(c). Determine q*k(p) + 3*z(p). -p**3 + 1 Let d be (-38)/(-14) - (-2)/7. Suppose 2*x + 25 = -d*x. Let a = 5 + -1. Let r(s) = 5*s**2 - 4*s. Let l(w) = 6*w**2 - 5*w. What is a*l(n) + x*r(n)? -n**2 Let b(v) = 13*v**2 - 2*v + 3. Let w(l) = 53*l**2 - 8*l + 13. Determine -9*b(q) + 2*w(q). -11*q**2 + 2*q - 1 Let o(u) be the first derivative of u**2/2 + u - 8. Let p(y) = y**2 - 2*y - 4. Calculate -4*o(h) - p(h). -h**2 - 2*h Let a(r) be the second derivative of r**5/20 - r**4/6 - r**3/3 - r**2 - r. Suppose -1 = 27*q - 26*q. Let i(o) = o**3 - o**2 - o - 1. Determine q*a(j) + 2*i(j). j**3 Let z(f) = -14*f - 20. Let d(t) = t + 1. Determine -12*d(a) - z(a). 2*a + 8 Suppose 4*t + 5*k = 48, -t - t - k + 18 = 0. Let c(s) = -9*s - 11. Let p(f) = -4*f - 5. Calculate t*p(w) - 3*c(w). -w - 2 Let n(g) = g**2 + g. Let o(w) = 9*w**2 + 2*w - 4*w**2 - 2*w**3 - 3*w**2. Give 2*n(u) - o(u). 2*u**3 Let o(c) = -2 + 1 - c**2 + 2*c**2. Let s be (-2)/(-6) - 21/9. Let h(m) = -2*m - 1. Calculate s*o(z) + h(z). -2*z**2 - 2*z + 1 Let c be 4/(-12) - (-10)/3. Suppose 26 = 5*j + 2*d, 3*d - 25 = -5*j + 4. Let u(l) = -l**2 + 4*l - 3. Let x(a) = a**2 - 5*a + 4. Give c*x(o) + j*u(o). -o**2 + o Let s(x) = 7*x + 2. Let j(z) = -15*z - 3. Let v(c) = -3*j(c) - 5*s(c). Let u(h) = h. Give 22*u(p) - 2*v(p). 2*p + 2 Let y(x) = -x**3 - 3*x**2 + 7. Let j(f) = f**3 + 3*f**2 - 6. What is -7*j(q) - 6*y(q)? -q**3 - 3*q**2 Let l(y) = -y**2. Let w be (-28)/(-6)*27/(-18). Let n(t) be the first derivative of -t**3 - 2. Give w*l(r) + 2*n(r). r**2 Let w(t) = 8*t**2. Let f(m) = 175*m**2. Determine 6*f(c) - 130*w(c). 10*c**2 Let l(m) = -2*m**3 + 5*m**2 + 2*m - 8. Let i(k) = -k**2 - k. What is -4*i(j) - l(j)? 2*j**3 - j**2 + 2*j + 8 Let s(w) = 15*w**2 + 2*w + 5. Let v(i) = 7*i**2 + i + 2. Calculate 4*s(p) - 9*v(p). -3*p**2 - p + 2 Let y be 3*1*-1 - 0. Let r(h) = 2*h. Let u(w) = -4*w - 10. Let x(j) = 6*j + 16. Let g(a) = 8*u(a) + 5*x(a). Give y*g(m) - 2*r(m). 2*m Let u(w) = -w + 1. Let c(y) = 2*y**3 - y**2 - 2*y + 6. Determine c(k) - 2*u(k). 2*k**3 - k**2 + 4 Let w(p) = -17*p - 2. Let c(i) = 67*i + 7. Calculate 6*c(f) + 22*w(f). 28*f - 2 Let l(w) = w**2 - 5*w - 1. Let q(r) = -r**2 + 4*r + 1. Determine -4*l(z) - 5*q(z). z**2 - 1 Let p(m) = -3*m**2 - 2*m - 1. Let o(s) = -7*s**2 - 4*s - 2. Give -3*o(y) + 5*p(y). 6*y**2 + 2*y + 1 Let r(b) = 5*b + 4. Let m(d) = -16*d + 12 - 23 + 2*d. Determine -4*m(w) - 11*r(w). w Let c(m) = 1. Let p = -5 + 4. Let a(b) = b - 7. Give p*a(n) - 5*c(n). -n + 2 Let g(q) = 2*q - 2. Let p(w) be the second derivative of 0 - 1/6*w**3 + w + 1/2*w**2. Let r(i) = i**2 + 6*i - 3. Let t be r(-6). Give t*g(d) - 4*p(d). -2*d + 2 Suppose w - 4 = -1. Let a(o) = -o**3 + 3*o - 3. Let i(l) be the second derivative of l**5/20 - l**3/3 + l**2 - 3*l. Give w*i(h) + 2*a(h). h**3 Suppose 0 = -c + 6*c + 5, -2 = 2*t + 4*c. Let a(k) = -k**2 + 1. Let u(f) = f**3 - 4*f**2 + 6. What is t*u(g) - 5*a(g)? g**3 + g**2 + 1 Let k(x) = 7*x**2 - 24*x**2 + 2 - 2*x + 10*x**2 + 2 + 6*x**2. Let b(d) be the first derivative of -4*d**3/3 - 4*d**2 + 17*d - 1. What is 2*b(p) - 9*k(p)? p**2 + 2*p - 2 Suppose i + 8 = 4*z - 3*i, 5*z + i = 16. Let k(s) = -s**2. Let o(y) be the second derivative of -5*y**4/12 - y**3/3 + y. What is z*k(w) - o(w)? 2*w**2 + 2*w Let u(v) = 5*v**3 + 2*v**2 + 2*v. Let m(t) = 6*t**3 + 3*t**2 + 3*t. Suppose 0 = b - z + 3, -b - 3*z + 6 = 21. Let f = 9 + b. Calculate f*u(d) - 2*m(d). 3*d**3 Let l(y) = -5*y**3 - 4*y**2 - 2*y. Let r(a) be the second derivative of -7*a**5/10 - 11*a**4/12 - 5*a**3/6 - 8*a. What is -11*l(w) + 4*r(w)? -w**3 + 2*w Let q = 22 - 20. Let i(s) = s**2 - 1. Let k(j) = -2*j**3 - j**2 + 2 - 4*j**2 + 3*j**2. Suppose -u = -3*w + 8, -3*u + 10 = -2*u + 3*w. What is q*i(v) + u*k(v)? -2*v**3 Let q(p) = -2*p - 1. Let m(s) = -s. Let n(r) = -6*r - 1. Let h(g) = -4*m(g) + n(g). What is 7*h(y) - 6*q(y)? -2*y - 1 Let j(p) = 11*p**2 + 11*p - 10. Let o(m) = 5*m**2 + 5*m - 5. Determine -6*j(i) + 13*o(i). -i**2 - i - 5 Let v(n) = 2*n - 2 - 4*n + 3. Suppose 5*g = -5, -6*s - 13 = -3*s + g. Let y(a) = -2 + 2 + 5 - 4 - 2*a. Calculate s*y(z) + 3*v(z). 2*z - 1 Let f(a) = 37*a - 2. Let h(r) = 1. Give -f(v) - 4*h(v).
{ "pile_set_name": "DM Mathematics" }
5*i = -21, 2*l - 3*l = 4*i + 19. Solve -l = -2*p + 3*g + 1, p + 4*g = -10 for p. -2 Let o be (30/18)/(1/3). Solve 0 = -2*u + 10, -2*y + o*u - 45 = -6*y for y. 5 Let b = 3 - 1. Let m = 39 - b. Solve -5*u + 21 = -0*o + o, 3*o = 5*u - m for o. -4 Let h(y) = y**3 + 4*y**2 - 4. Let n be h(-3). Let r(g) = -g**2 + 6*g + 5. Let i be r(n). Solve -b - 10 = -3*b, 3*b + i = -5*v for v. -5 Suppose -5*i - 10 = -2*t, -6*t = -t + 5*i + 10. Suppose t = -j + o + 6, -2*j + o = 3*j - 42. Solve 5*p - p + c + j = 0, 0 = -2*c + 6 for p. -3 Let t be (8/6)/((-6)/(-9)). Let u be 4/(-2) + (2 - -1). Let q be (0 + u - 0)*0. Solve 3*h + t = b, q = 4*h + 3*b - b - 4 for h. 0 Let z = 11 - 5. Let u(o) be the first derivative of 3*o**2/2 + 3*o - 2. Let q be u(z). Solve 0 = 5*v + 4*h - 32, -6*v - 3*h = -3*v - q for v. 4 Suppose -3 - 3 = 2*t. Let k(a) = 4 + 4*a - 5*a - 4. Let y be k(t). Solve -2*i + 15 = -3*v, -y*v - 2*i - 25 = 2*v for v. -5 Suppose 2*i - 4*s = 14, -5*i + 3*s - 2*s = -17. Solve -v - 5*w = 15, -v - 9 = i*w - w for v. -5 Let k(a) = -a**2 + 4*a + 3. Let t be k(5). Let n be t*(-6)/(-8)*-2. Solve n*d = 4*r - 29, 3*r = 10 + 5 for d. -3 Suppose -2*s - 3*s = -70. Let q be (7/s)/(2/20). Suppose 0*n = 4*n - 64. Solve -p = -c + 7 - 2, q*c - 2*p = n for c. 2 Suppose -2*b - 2 = -4. Let q = 2 + b. Suppose -9 = q*f - 0*f, -5*f = -3*x + 27. Solve -i + 1 = g + 5, g = -x*i - 10 for g. -2 Let l be 3*((-12)/9 + 2). Solve -v = -4*d, 11 = l*d - 5*v - 7 for d. -1 Let b(p) = p**3 + 10*p**2 + 2. Let c be b(-10). Solve -4*x + 11 = 3*v, -3*x = c*v - 2 - 5 for x. -1 Let d(a) be the third derivative of 0 + 0*a**4 + 0*a - 1/60*a**5 - a**2 + 8/3*a**3. Let z be d(0). Solve 3*l + 17 = 2*n, -z = -7*n + 3*n for l. -3 Let c(n) = -n**3 + 4*n**2 + 5*n - 19. Let m be c(4). Solve -v + 3*k - 10 + m = 0, 4*v = 4*k - 12 for v. 0 Let a(n) = -2*n - 16. Let g be a(-8). Solve -4*i - 24 = -4*x, g*x - 2*x + 20 = -4*i for x. 2 Let d(q) = q**3 - 3*q**2 - 3*q - 6. Let l be d(5). Let c = l + -21. Solve -3*o = 2*a - 4*a - 7, -4*o = -3*a - c for a. 4 Let b be 5/(-2) - 4/(-8). Let a be b*(-11)/2 + 0. Let w = a + -6. Solve -w*s = 2*v + 17, -2*s + v = 2*s + 11 for s. -3 Let q(j) = j - 3 + 5*j - j**2 + 0*j**2. Let f be q(5). Solve -3*z + 23 = -0*z - 2*m, -17 = -5*z - f*m for z. 5 Suppose 5*u + 6 = -4*n - 10, 16 = 5*u - 4*n. Let r be 1*3/6*u. Let d be (0 + r)/(-7 + 5). Solve 0 = -4*a + g - d - 2, 3*g - 6 = -5*a for a. 0 Suppose -4 = -3*s + 2. Suppose -12 = -7*x + 9. Solve 4*o - 3*v = -3, x*o = s*o - 3*v + 3 for o. 0 Let q(w) = w**3 - 5*w**2 + 3. Let i be q(5). Solve -3*t - 15 = i*b, -2*t - 3*t - 25 = -4*b for b. 0 Suppose 0 = -0*c - 4*c. Let w = -28 - -13. Let b = w - -20. Solve -v + b*m + 15 = -c*m, -8 = 2*m for v. -5 Let x = 27 - 24. Let r be 4 + 1 + x + -5. Solve 3*t = -0*p - r*p, -5*t - 6 = 2*p for t. -2 Let u(y) = -y**3 - 9*y**2 + 3. Let z be u(-9). Suppose -2*b + 7 + z = 2*c, -5*c = -4*b - 7. Solve b*m + 13 = r, 2*r + m + 24 = 6*r for r. 5 Let c be (-10)/45 + 116/36. Solve -c*l - 15 + 5 = -n, -l + 20 = -5*n for n. -5 Let g be -2 + 0/3 + 4. Solve -5*q = 3*j - 8, g*j + 6*q - 2*q - 6 = 0 for j. 1 Suppose 5*q + 35 = -45. Let t be (-12)/q - 5/(-4). Solve 5*d - s + t = 0, -s - s = 3*d + 9 for d. -1 Let n = 27 + -9. Let q(p) = -11*p + 1. Let a be q(-1). Suppose 2*w - 5*w = 4*o - a, o = w - 4. Solve -2*j - w = -d - d, -d - 4*j = n for d. -2 Suppose -i - 3*i = -16, -2*i = 2*k - 12. Suppose -45 = 5*y - 14*y. Solve y*b + k = 3*r, -5*r - 4*b = -0*r - 28 for r. 4 Suppose -5*j = 4*d - 14, -5*j + 0*j + 2*d + 38 = 0. Solve 3 = -3*p + 3*s, -s - 10 = -j*s for p. 1 Suppose 4*o - 20 = -o. Suppose -o*w = 13 + 19. Let u be 4/(-10) - w/20. Solve 6 = 5*y - z, -5*z + u*z = 4*y + 1 for y. 1 Suppose -6*j = -11*j. Solve h + 2*w + j - 2 = 0, -h + 2*w - 10 = 0 for h. -4 Let b be 9/2 - (-1)/2. Suppose 0 = -d - 5*a - 2, -4*d + d = 4*a - 5. Let f be 25/(-2)*(d - 5). Solve 0 = 2*u + b*q - f, u - 2*q = 2*u - 10 for u. 0 Suppose 4*m - 13 = -z, 24 = 3*m - 2*z + 6. Let p(a) = -a**3 - a + 2. Let t be p(0). Suppose u - t = 1. Solve -6*w + 6 = -3*w - u*i, 3*w = m*i + 6 for w. 2 Suppose -3*r + 19 + 23 = 0. Let s be (117/156)/(-1*1/(-8)). Solve 3*p - 12 = 3*k + s, k + r = 3*p for k. -2 Let c be ((-114)/(-24))/(2/8). Let z(f) = f**2 + 4*f - 8. Let u be z(-6). Let l be (-2)/(-13) + 24/13. Solve l*x = u*s - 2, -4*s + 3*x - c = 8*x for s. -1 Let a be 4 - (-3)/((-3)/1). Suppose a = -h, -4*d + 4*h + 52 = d. Solve -3*r + 3*u = 12, -d = 5*r - 0*u - 2*u for r. 0 Let n = 82 + -80. Solve -4*h - 15 = -d, -n*h - 3*h = -3*d + 17 for h. -4 Let w = 1 - -2. Solve -4*j = -j - 2*b - 9, w*b = -2*j + 6 for j. 3 Let i(r) = -10*r + 3*r + 0 - r**2 - 4. Let t be i(-6). Solve 4*k + 2*g + 6 = 0, 3*k - t*g = -9 + 1 for k. -2 Suppose 7*k - 8 = 3*k. Suppose -q - k*q - 116 = j, -5*q - 5*j = 210. Let h = -19 - q. Solve -c = -5*m + 21, 2*m + 0*m + 2*c = h for m. 5 Suppose 8 = 5*l - 7. Let r(n) = -n**3 + 5*n**2 + 2*n - 7. Let p be r(5). Suppose p*d + 2*d - 90 = 0. Solve 0 = 5*u - l*t - 26, 3*u - u - 5*t - d = 0 for u. 4 Let y be ((-1)/(-3)*0)/2. Solve 3*c - 15 = y, 2*p - c + 1 = -0*c for p. 2 Suppose -5*d = -2*s - 9, -s + 24 = 2*s + 5*d. Let j = 11 - s. Let h = j - 5. Solve 4*l = w + 16, -3*l + 0*w + h*w + 21 = 0 for l. 3 Suppose 2*x - z = -2 + 9, 0 = -3*z + 3. Let y be 2/6 + (-10)/(-6). Suppose -y*p + 24 = 4*a + p, -a - 2*p = -6. Solve -2*k - 6 = 2*c, a*k - 12 = k + x*c for k. 0 Let c = -15 - -15. Suppose -3*x - 2*m = -10, c = 2*x + 2*m + 6 - 12. Solve -3 = -x*a + u, -2*a - 7 = -4*a - 5*u for a. 1 Suppose -20 = -j + 5. Suppose -6*f = -f - j. Let h be 14/3*(-3)/(-2). Solve -3*m - 3*l + 4*l = h, -f*l = -3*m - 23 for m. -1 Let s be (-4 + 3)*(-4)/2. Solve 0*p - 24 = s*y + 5*p, 0 = 2*y + 2*p + 12 for y. -2 Suppose 4*c = -2*k - 18, 0 = 3*c + 2*k - 3*k + 16. Let v be (c + 1)*5/(-4). Let a = v + 0. Solve 3*s - a = p - 2*s, 3*p - 3*s = -15 for p. -5 Suppose 6*i - 21 = 3*i. Let g be (-6)/21 - (-114)/i. Suppose -30*h = -26*h. Solve -5*d + h*q + 5*q = 5, -g = -5*d - 2*q for d. 2 Let c(r) = 4*r - 2. Let s be c(3). Let x(z) = -z + 14. Let f be x(s). Solve -5*d - 19 = 2*v, 4*v + 0*v = f*d + 32 for v. 3 Let t(n) = -n**2 + 10*n + 5. Let q be t(10). Solve -l = -4*j - 5, -6 = 3*j + 2*l - q for j. -1 Let b be 105/6 - 4/8. Solve 0 = -5*j + 7*t - 3*t + b, 4*t = -j + 13 for j. 5 Suppose -5*y + 4 + 26 = 0. Let m be 0 + (-2 + 6)/(-2). Let t = m + y. Solve 2*d + 4 = -o - 3*o, 0 = -3*d + t*o + 24 for d. 4 Suppose -t + 7 = 5*u - 0, 10 = -u - 4*t. Solve 0 = -o - 2*o + h - 6, 2*o + 12 = -u*h for o. -3 Let v be (-9)/(-4) - 5/20. Solve -3*z - v*n = -10, 4*n = -0 + 8 for z. 2 Suppose -4 = o - 14. Solve 4*i + 29 = -3*h, i + 1 + o = -2*h for i. -5 Let r = -35 - -37. Solve -v + r*p + 2 = 0, -3*v - p - 23 = 2*v for v. -4 Suppose 0 = 2*r - 8 - 0. Suppose 8 = 8*a - r*a. Suppose 64 = a*b + 8. Solve 18 = 3*n - 3*w, b = n - 4*w + 7 for n. 1 Let k(b) = -2*b**2 + 12*b - 13. Let a be k(4). Solve -i - 16 = -6*i + 4*x, -3*x = -a*i + 12 for i. 0 Let r(h) = 7*h - 3. Let x be r(1). Solve -14 = -2*d + x*y, 4 + 6 = -5*y for d. 3 Let t be -7*(45/21 - 3). Let n(z) = z**3 + 5*z**2 + 5*z - 2. Let o be n(-4). Let u = o + t. Solve r = 4*a + 1, 3 = 3*r - u*a + 2*a for r. 1 Let q(l) = 4 + 5*l + 3*l**2 - 1 + 2 - 3. Let a(i) = i**2 - 6*i + 2. Let v be a(5). Let u be q(v). Solve -5*k = h - 3*h + 18, 4*k - 2*h = -u for k. -4 Suppose -5*a + 3*a + z + 9 = 0, -30 = -5*a + 4*z. Solve -4*d + a*h = -8, -2*d = -5*h - 0*h - 20 for d. 0 Suppose u - 8 = 2*v, -2*v = -v + 2. Let g = 30 + -15. Suppose 6*f - g = f. Solve 13 = -f*o - 5*k, o - u*o + 3*k = -3 for o. -1 Let h = 0 - 0. Let t be h*(-2 + 2 + -1). Solve 5*k - 15 + 5 = 5*a, t = -k - 2*a - 7 for k. -1 Let h be (2 - -2) + 6/(-3 - -6). Solve 0 = 3*o + 2*i + 11, 2*o + 6*i = 4*i - h for o. -5 Suppose -3*w + 0*l + 10 = -l, 0 = -w + 2*l + 5. Solve -5*t + w*s - 12 = 2*s, 2*s = -2*t for t. -2 Let j(t) = t**3 + 10*t**2 - t - 8. Let w be j(-10). Suppose 4*r + 5*y = 5, 2*y - 3 = 3*y. Solve -w*a = 2*k, k - 12 = r*a - 0 for a. -2 Suppose -u - 13 = -4*d, 0*d - 3*u = -3*d + 21. Suppose -4*r - d = -14. Solve -r*i = -2*k - 8, 12 = i - 3*k - 0*k for i. 0 Suppose o - 3 = 0, y + 5*o = -4*y + 210. Suppose -2*x + y = x. Solve -5*n + 15 = -2*z, 0*n = 2*z - 3*n + x for z. -5 Let g(p) = 2*p + 17. Let u be g(-6). Solve 30 = -5*w
{ "pile_set_name": "DM Mathematics" }
*y**2 - 10*y**2 - 4*y**2. Let k(x) = -2*x. Give u(k(w)). -68*w**2 Let a(h) = 6*h**2 + 0*h**2 - 4*h**2 - 4*h**2. Let p(s) = -4*s**2 + 5*s**2 - 2*s**2. Determine a(p(d)). -2*d**4 Let v(o) = -o. Let c(y) = 4339*y**2 + 2. Calculate v(c(a)). -4339*a**2 - 2 Let p(h) = -h. Let d(i) = 2*i. Let b = -7 - -5. Let g(c) = -c. Let j(t) = b*d(t) - 5*g(t). What is p(j(x))? -x Let v = -3 - -5. Let i(k) = 0*k**v - 10*k**2 + 7*k**2. Let r(c) = 2*c + 1 - 1. Calculate r(i(s)). -6*s**2 Let j(l) = -2*l. Let i(z) be the first derivative of 17*z**3/3 - 1. What is i(j(x))? 68*x**2 Let k(g) be the second derivative of -g**3/6 - 2*g. Let x be (-2)/(-12) + (-22)/(-12). Let q(b) = x*b - 5*b + 2*b + 0*b. What is k(q(d))? d Let v(g) be the first derivative of -12*g**2 + 20. Let j(i) = -2*i. Give j(v(f)). 48*f Let f(k) = 2*k. Let v be 16/5 - 4/20. Let q(g) = -g**2 + 6*g - 5. Let s be q(5). Let j(w) = s*w - v*w + w. Determine j(f(h)). -4*h Let y(i) = -22*i + 2. Let v(u) = -3*u**2. Calculate v(y(f)). -1452*f**2 + 264*f - 12 Let l(r) = r**2. Let p(q) = -1959*q - 4. Give p(l(m)). -1959*m**2 - 4 Let x(b) be the first derivative of -3*b**2/2 + 16. Let a(m) = -14*m**2. Give a(x(k)). -126*k**2 Let g(w) = 3*w**2 + 4. Let c(m) = 3*m**2 + 3. Let k(u) = 4*c(u) - 3*g(u). Let y = 1 - -1. Let p(s) = 3*s**y - 3*s**2 - s**2. Calculate p(k(b)). -9*b**4 Let i(f) = 4*f**2 + 4*f**2 - 7*f**2. Let n(y) = -23 + 8*y**2 + 23. Calculate i(n(s)). 64*s**4 Let f(g) = -7 + 2*g - 7 + 14. Let c(l) = -8*l**2. Let a(y) = y**2. Let h(r) = 12*a(r) + c(r). Determine h(f(n)). 16*n**2 Let g(j) = 2*j. Let n be ((-10)/(-10))/((-2)/(-4)). Let o(z) be the second derivative of 0 + 0*z**n - 2*z - 1/2*z**3. What is o(g(s))? -6*s Let r(o) be the first derivative of o**3/6 + o - 2. Let t(h) be the first derivative of r(h). Let l(p) = -4*p + p + 2*p. Give t(l(i)). -i Let c(u) be the second derivative of 5*u**3/6 + 5*u. Let m(z) = -2*z**2. What is m(c(t))? -50*t**2 Let v(k) = 45*k**2. Let q(a) = 17*a**2. Calculate v(q(m)). 13005*m**4 Let g(y) = y. Let b(a) = -7*a + 4. Let x(d) be the second derivative of -d**3 + 3*d**2/2 - 3*d. Let k(m) = -3*b(m) + 4*x(m). What is g(k(h))? -3*h Let u(p) = 8 - 4*p - 8. Let a(n) be the third derivative of n**4/12 - 15*n**2. Calculate a(u(z)). -8*z Let d(r) = 4*r - 7. Let m(v) = -3*v + 5. Let b(y) = -5*d(y) - 7*m(y). Let w(i) = 31*i. What is w(b(x))? 31*x Let c(o) = 9*o**2. Let d(r) = -58*r**2. What is d(c(i))? -4698*i**4 Let b(f) = f**3 - f**2 - 4*f - 1. Let z be b(3). Suppose 2*x - x = z. Let l(v) = v + v - x*v. Let q(o) = o**2. What is l(q(r))? -3*r**2 Let t(v) = -6*v. Let f(j) be the first derivative of -j**2 + 2. Calculate t(f(r)). 12*r Let v(w) = -136*w + 2. Let n(u) = -50*u. Determine n(v(x)). 6800*x - 100 Let f(v) = -2*v**2. Let o(p) = 20*p**2. Calculate f(o(k)). -800*k**4 Let m(s) be the second derivative of s**4/6 - 3*s. Let j(a) = 2*a. Let p(q) = 6*q. Let v(g) = 8*j(g) - 3*p(g). Determine m(v(i)). 8*i**2 Let f(d) = -d. Let y(i) = -512*i. What is y(f(l))? 512*l Let b(u) = -2*u**2 - 1. Let k(w) = 7*w - 1. Calculate k(b(r)). -14*r**2 - 8 Let n(u) = u. Let c(j) = -15*j + 20. Give n(c(l)). -15*l + 20 Let u(w) = -3*w**2 - 43*w. Let g(p) = 28*p. What is g(u(l))? -84*l**2 - 1204*l Suppose -8 = -7*w + 3*w. Suppose 3*x + 2 = w*x, 5*g - 20 = 5*x. Let y(j) = 2*j**2 - 2*j**g + 0*j**2 + 4*j**2. Let m(h) = 2*h**2. Calculate y(m(f)). 16*f**4 Let m(k) = 2*k. Let d be -1 - (2 - (-2)/(-2)). Let t be d*(18/4)/(-3). Let n(z) = -t*z + 3*z - 2*z**2. What is n(m(x))? -8*x**2 Let i(h) = h**2. Suppose 0 = 4*r + 3*s, -3*r - 3*s + s = 0. Let u(m) be the first derivative of 2/3*m**3 + r*m + 2 + 0*m**2. Give i(u(a)). 4*a**4 Let b(z) = -z. Let l(a) = -249*a + 43. Calculate b(l(r)). 249*r - 43 Let t(p) = -9*p**2 + 12. Let v(a) = a**2 - 1. Let y(j) = t(j) + 12*v(j). Let x(d) = d. Give x(y(c)). 3*c**2 Let n(v) = 2*v**2. Suppose 2*o - 5*o = 2*p - 31, 4*p - 36 = -4*o. Let f = o + -9. Let q(r) = 4*r - 2*r**2 - f*r. Calculate n(q(k)). 8*k**4 Let b(r) = r**2. Let y(m) = 0*m + 1 + 6*m - 7*m. Let h(a) = a**2 + 2*a - 2. Suppose 3*o - 5 = 1, -5*n - 18 = -4*o. Let t(z) = n*y(z) - h(z). Give b(t(g)). g**4 Let a(t) = -2*t**2. Let x be 2*2*6/12. Let q = x - -1. Let s(j) = -3*j - q*j - 2*j + 4*j. What is a(s(g))? -32*g**2 Let g(y) = 15*y. Let q(l) = 6*l**2 + 8*l. Determine q(g(n)). 1350*n**2 + 120*n Let o(s) be the first derivative of 2*s**3/3 - 7. Let u(w) = 16*w. What is o(u(a))? 512*a**2 Let y(g) = -1791*g**2. Let p(b) = 17*b**2. Determine y(p(z)). -517599*z**4 Let n be 2*(1 + 0) - -3. Let m(d) = 0*d + n*d - d. Let b(p) be the second derivative of p**4/12 - 3*p. Calculate m(b(o)). 4*o**2 Let m(f) = -f. Let l be 0 - (-1 + (2 - 1)). Let b be 6 + -5 + (l - -1). Let c(j) = j + 3*j - b*j. Determine m(c(t)). -2*t Let w(u) be the second derivative of -u**3/6 + u. Let o(s) be the third derivative of -s**4/12 + s**2. What is w(o(a))? 2*a Let l(a) = -2*a**2. Let d(j) be the third derivative of 0*j**3 + 0 + 0*j + j**2 + 0*j**4 + 1/60*j**5. Calculate l(d(g)). -2*g**4 Suppose -5*g + 35 = -3*b, b - 1 + 6 = 0. Let v(c) = -2*c**2 - g + 4. Let d(i) be the second derivative of i**3/6 - 47*i. Determine d(v(r)). -2*r**2 Let s(f) = 19*f**2. Let z(l) = -78*l**2. Calculate z(s(p)). -28158*p**4 Let o(h) = -h. Let b(y) = -3*y + 3*y + 1 - 2*y. Let f(q) = -1. Let i(p) = -2*b(p) - 2*f(p). Give i(o(r)). -4*r Let a(r) = r. Let b(h) = -482*h. Give b(a(d)). -482*d Let r(x) = -11*x. Let g(t) = t. Let u(i) = -18*g(i) - 2*r(i). Let f(n) be the second derivative of -n**4/6 + n. What is f(u(w))? -32*w**2 Let m = -6 + 11. Let v(h) = -m*h**2 - 319*h + 319*h. Let u(f) = 2*f**2. Determine v(u(j)). -20*j**4 Let c(v) = 47*v**2. Let m(t) = -36*t**2. Calculate c(m(l)). 60912*l**4 Let t(z) = -z**2. Let k(s) be the second derivative of 5*s**4/4 - 19*s. Determine k(t(w)). 15*w**4 Let c(l) = l**2. Let o(m) = -m**2 - 123*m. Calculate c(o(z)). z**4 + 246*z**3 + 15129*z**2 Let l(r) = 41*r**2. Let j(g) be the first derivative of 3*g**2/2 - 50. Calculate j(l(t)). 123*t**2 Let s(c) = -122*c**2. Let v(k) = -k. Determine v(s(i)). 122*i**2 Let x(j) be the second derivative of j**3/3 - 3*j. Let f(k) = k**2 + 3*k + 3. Let i(v) = -8*v**2 - 22*v - 22. Let p(w) = 44*f(w) + 6*i(w). Determine p(x(h)). -16*h**2 Let n(j) = -2*j. Let i = -10 - -4. Let w = i + 9. Let h(b) = -w*b**2 - 3*b**2 - 3*b**2. Calculate n(h(k)). 18*k**2 Let y(i) = -i. Let x(p) be the first derivative of -1 + 15*p**2 + 3 - 14*p**2. Determine y(x(b)). -2*b Let i(s) = -2*s - 5. Let h(g) be the first derivative of g**2 + 6*g - 1. Suppose 12 = -4*b - 12. Let d(c) = b*i(c) - 5*h(c). Let k(o) = 2*o. What is d(k(m))? 4*m Let r(i) = 9*i + 2 - 2 - 11*i. Let j(h) = -h**2. Determine j(r(b)). -4*b**2 Let u(q) = -3*q**2. Let l(d) = d + 4*d - 3*d + 0*d. What is u(l(k))? -12*k**2 Let k(m) = 4336*m. Let s(t) = -2*t. Give k(s(y)). -8672*y Suppose -2*w - g + 0 = -4, -4*w = 4*g - 8. Let c(d) = -w*d - d + 4*d. Let z(v) = 4*v. Give c(z(q)). 4*q Let g(p) = -16*p**2. Let t(v) = -26*v**2 + 2. What is g(t(q))? -10816*q**4 + 1664*q**2 - 64 Let o(f) = f**3 - 2*f**2 + f. Let c be o(1). Let r(d) = -d + d - d + c. Let q(u) = -u**2. Let t(l) = 2*l**2. Let z(a) = -11*q(a) - 4*t(a). Determine z(r(p)). 3*p**2 Let n(y) = y. Let s(b) = -7*b - 3. Let l = 17 - 13. Let v(o) = -2*o - 4 - 3*o - 3*o. Let x(g) = l*s(g) - 3*v(g). What is x(n(i))? -4*i Let k(z) = -z - 5. Let j(x) = -9*x. Give k(j(h)). 9*h - 5 Let y(i) = 15*i - 3. Let a(j) = 44*j - 8. Let t(k) = 3*a(k) - 8*y(k). Let d(n) = -2*n**2. Give d(t(s)). -288*s**2 Let j(u) = -2*u. Let q(m) = 32*m - 2. What is j(q(k))? -64*k + 4 Let y(o) = 4*o - 2. Let i(v) = v - 1. Let p(a) = -2*i(a) + y(a). Let w(z) = 9*z**2. Calculate p(w(h)). 18*h**2 Let g(j) = -3*j. Suppose -2*z = -3*c - z + 5, 5*z - 7 = -c. Let w(a) = -a**2 - a**2 + 6*a**2 - c*a**2. Determine w(g(d)). 18*d**2 Let q(c) = -10*c. Let r(n) = 9*n. Give q(r(w)). -90*w Let r(z) be the first derivative of z**3/6 + z - 1. Let u(v) be the first derivative of r(v). Let x(f) = f + 3*f - 6*f. Determine x(u(q)). -2*q Let k(v) = -141*v**2 - 7*v - 2. Let r(h) = -4*h**2. What is k(r(q))? -2256*q**4 + 28*q**2 - 2 Let m(a) = -a**2. Let t(r) = -12*r. What is m(t(x))? -144*x**2 Let r = -8 + 9. Let k(h) = -4 - h + 3 + r. Let n(c) = 9*c**2. Calculate k(n(q)). -9*q**2 Let i(
{ "pile_set_name": "DM Mathematics" }
? 36 How many minutes are there between 1:10 PM and 8:36 PM? 446 What is 367 minutes before 2:06 AM? 7:59 PM What is 289 minutes before 6:53 PM? 2:04 PM How many minutes are there between 9:41 AM and 9:31 PM? 710 How many minutes are there between 12:39 AM and 7:21 AM? 402 How many minutes are there between 7:30 AM and 7:14 PM? 704 What is 647 minutes before 10:15 AM? 11:28 PM What is 669 minutes after 6:57 AM? 6:06 PM What is 556 minutes before 5:16 AM? 8:00 PM How many minutes are there between 12:43 AM and 1:21 AM? 38 What is 508 minutes after 9:48 PM? 6:16 AM What is 388 minutes after 6:26 AM? 12:54 PM How many minutes are there between 5:46 AM and 4:20 PM? 634 What is 11 minutes after 11:03 AM? 11:14 AM What is 543 minutes before 7:23 AM? 10:20 PM What is 11 minutes before 6:25 AM? 6:14 AM What is 418 minutes after 11:00 AM? 5:58 PM How many minutes are there between 8:08 PM and 9:08 PM? 60 How many minutes are there between 7:26 AM and 2:49 PM? 443 What is 295 minutes after 11:11 AM? 4:06 PM What is 660 minutes after 5:00 AM? 4:00 PM What is 665 minutes before 1:47 AM? 2:42 PM How many minutes are there between 3:41 AM and 2:51 PM? 670 How many minutes are there between 11:31 PM and 6:50 AM? 439 How many minutes are there between 8:34 PM and 7:49 AM? 675 What is 283 minutes before 3:03 AM? 10:20 PM How many minutes are there between 1:30 AM and 11:47 AM? 617 How many minutes are there between 9:34 PM and 5:47 AM? 493 What is 130 minutes after 9:41 AM? 11:51 AM What is 165 minutes after 6:35 PM? 9:20 PM What is 184 minutes after 11:27 AM? 2:31 PM What is 303 minutes after 6:38 PM? 11:41 PM What is 12 minutes before 9:02 PM? 8:50 PM What is 332 minutes before 12:24 PM? 6:52 AM How many minutes are there between 8:05 PM and 10:52 PM? 167 What is 630 minutes after 7:41 AM? 6:11 PM How many minutes are there between 2:51 PM and 12:33 AM? 582 What is 589 minutes after 5:00 AM? 2:49 PM What is 264 minutes after 8:52 AM? 1:16 PM What is 501 minutes before 1:01 PM? 4:40 AM How many minutes are there between 12:08 AM and 11:27 AM? 679 What is 665 minutes before 4:40 AM? 5:35 PM How many minutes are there between 7:08 AM and 8:58 AM? 110 How many minutes are there between 9:09 PM and 1:58 AM? 289 What is 304 minutes before 5:57 AM? 12:53 AM What is 404 minutes after 1:50 AM? 8:34 AM What is 448 minutes after 11:24 PM? 6:52 AM How many minutes are there between 3:59 PM and 7:03 PM? 184 What is 553 minutes before 10:05 PM? 12:52 PM How many minutes are there between 6:18 AM and 7:25 AM? 67 What is 670 minutes before 1:19 PM? 2:09 AM What is 89 minutes after 2:08 PM? 3:37 PM How many minutes are there between 4:22 PM and 5:58 PM? 96 What is 207 minutes after 4:39 PM? 8:06 PM What is 231 minutes after 3:10 PM? 7:01 PM How many minutes are there between 7:03 PM and 7:42 PM? 39 How many minutes are there between 6:40 AM and 7:31 AM? 51 How many minutes are there between 10:41 AM and 6:35 PM? 474 What is 493 minutes before 3:17 AM? 7:04 PM What is 454 minutes after 1:23 PM? 8:57 PM How many minutes are there between 1:11 AM and 8:50 AM? 459 What is 576 minutes before 9:23 PM? 11:47 AM How many minutes are there between 6:42 PM and 2:28 AM? 466 What is 320 minutes after 11:48 AM? 5:08 PM What is 355 minutes after 4:35 AM? 10:30 AM What is 596 minutes after 2:28 AM? 12:24 PM What is 570 minutes before 7:13 AM? 9:43 PM How many minutes are there between 5:48 PM and 11:30 PM? 342 What is 582 minutes before 4:52 PM? 7:10 AM How many minutes are there between 7:48 PM and 5:47 AM? 599 What is 211 minutes after 6:56 AM? 10:27 AM What is 582 minutes before 7:52 AM? 10:10 PM How many minutes are there between 6:42 AM and 8:19 AM? 97 How many minutes are there between 11:23 PM and 7:31 AM? 488 What is 372 minutes before 10:03 AM? 3:51 AM What is 341 minutes before 1:08 PM? 7:27 AM What is 432 minutes after 5:31 AM? 12:43 PM What is 408 minutes before 2:47 PM? 7:59 AM How many minutes are there between 12:38 PM and 3:10 PM? 152 What is 564 minutes before 11:19 PM? 1:55 PM How many minutes are there between 7:18 PM and 5:09 AM? 591 What is 39 minutes before 1:03 AM? 12:24 AM What is 703 minutes after 9:09 PM? 8:52 AM How many minutes are there between 4:41 PM and 4:28 AM? 707 How many minutes are there between 6:26 PM and 11:09 PM? 283 What is 676 minutes before 11:10 AM? 11:54 PM How many minutes are there between 9:25 PM and 8:54 AM? 689 How many minutes are there between 7:47 AM and 5:42 PM? 595 What is 252 minutes after 1:27 AM? 5:39 AM How many minutes are there between 4:43 AM and 6:33 AM? 110 How many minutes are there between 8:48 AM and 12:17 PM? 209 How many minutes are there between 8:52 PM and 4:52 AM? 480 What is 54 minutes before 1:20 PM? 12:26 PM How many minutes are there between 3:31 AM and 6:46 AM? 195 What is 679 minutes after 10:16 PM? 9:35 AM What is 291 minutes after 11:23 PM? 4:14 AM How many minutes are there between 7:37 AM and 12:01 PM? 264 How many minutes are there between 6:59 PM and 9:39 PM? 160 What is 6 minutes before 9:03 PM? 8:57 PM What is 582 minutes after 11:27 PM? 9:09 AM What is 318 minutes before 2:11 PM? 8:53 AM How many minutes are there between 8:17 PM and 7:36 AM? 679 What is 293 minutes after 2:33 PM? 7:26 PM What is 685 minutes after 11:19 AM? 10:44 PM What is 324 minutes before 7:44 PM? 2:20 PM What is 665 minutes after 3:25 PM? 2:30 AM What is 27 minutes after 7:41 AM? 8:08 AM What is 719 minutes before 5:36 PM? 5:37 AM How many minutes are there between 7:29 PM and 5:24 AM? 595 What is 110 minutes before 12:15 AM? 10:25 PM How many minutes are there between 6:35 AM and 9:31 AM? 176 How many minutes are there between 2:52 AM and 8:46 AM? 354 What is 466 minutes before 6:50 AM? 11:04 PM How many minutes are there between 2:28 PM and 2:18 AM? 710 How many minutes are there between 5:51 PM and 12:45 AM? 414 How many minutes are there between 2:46 AM and 10:56 AM? 490 What is 524 minutes after 10:51 AM? 7:35 PM How many minutes are there between 8:15 AM and 1:52 PM? 337 How many minutes are there between 6:48 PM and 7:48 PM? 60 How many minutes are there between 4:05 AM and 3:54 PM? 709 What is 170 minutes after 3:32 AM? 6:22 AM How many minutes are there between 7:00 AM and 11:11 AM? 251 What is 445 minutes before 12:09 PM? 4:44 AM What is 641 minutes after 4:28 PM? 3:09 AM What is 468 minutes before 11:06 PM? 3:18 PM How many minutes are there between 4:51 AM and 3:55 PM? 664 What is 25 minutes after 5:33 PM? 5:58 PM How many minutes are there between 4:53 AM and 4:24 PM? 691 What is 546 minutes after 4:27 AM? 1:33 PM What is 77 minutes before 11:19 AM? 10:02 AM How many minutes are there between 10:06 PM and 2:15 AM? 249 What is 371 minutes before 6:03 AM? 11:52 PM What is 50 minutes before 10:52 AM? 10:02 AM How many minutes are there between 1:11 PM and 3:58 PM? 167 How many minutes are there between 11:58 PM and 8:42 AM? 524 How many minutes are there between 12:41 PM and 10:52 PM? 611 How many minutes are there between 4:44 AM and 7:09 AM? 145 What is 25 minutes before 5:47 PM? 5:22 PM How many minutes are there between 4:12 PM and 7:04 PM? 172 What is 238 minutes before 9:32 AM? 5:34 AM What is 145 minutes before 10:00 PM? 7:35 PM What is 552 minutes after 1:36 PM? 10:48 PM How many minutes are there between 5:48 AM and 11:11 AM? 323 How many minutes are there between 7:12 PM and 11:18 PM? 246 What is 680 minutes before 10:29 AM? 11:09 PM What is 313 minutes before 12:55 AM? 7:42 PM What is 277 minutes after 1:30 AM? 6:07 AM What is 444 minutes before 3:29 PM? 8:05 AM How many minutes are there between 2:40 AM and 2:02 PM? 682 How many minutes are there between 10:52 AM and 6:20 PM? 448 How many minutes are there between 1:16 PM and 8:40 PM? 444 How many minutes are there between 5:15 AM and 12:15 PM? 420 How many minutes are there between 3:44 AM and 11:12 AM? 448 How many minutes are there between 6:32 PM and 6:46 PM? 14 What is 158 minutes after 4:51 PM? 7:29 PM How many minutes are there between 4:24 AM and 6:32 AM? 128 What is 468 minutes before 8:18 PM? 12:30 PM How many minutes are there between 2:06 PM and 6:19 PM? 253 How many minutes are there between 8:52 AM and 12:14 PM? 202 What is 428 minutes befor
{ "pile_set_name": "DM Mathematics" }
+ 2*c - 4*c - c**4 + 0*c**4 + 5*c**4 - 3*c**4 + (-c + 1 - 1)*(-2*c**3 + 3 - 3) - 2*c**4 + 0*c**3 + 0*c**3. c**4 + 2*c - 8 Expand (2*b - 5 + 5)*(b + b - 3*b)*(0 - 2 + 1). 2*b**2 Expand (86*b - 89*b - 2 - 1)*(5*b**3 - 6*b**3 + 3*b**3). -6*b**4 - 6*b**3 Expand 4*v**3 - v**3 + 2*v**3 + (-v**2 - 4*v**2 - v**2)*(6*v + 0*v - 5*v). -v**3 Expand -3*z**2 + z**2 + 7*z**2 + z**2 - 1 + 1 + (-3*z + 2*z + 2*z)*(2*z - 2*z - z) - z + z + 2*z**2. 7*z**2 Expand ((-4*m + 4*m + 2*m)*(32 - 17 + 17) - 2*m - m + m)*(-4*m + 0*m + 2 + 5*m). 62*m**2 + 124*m Expand (-4*q + q + 5*q)*(-11*q**2 + 2*q**2 - 5*q**2) + (3*q**2 + 4*q**2 - 5*q**2)*(-5*q + 5*q + q) - 2*q**3 + 2*q**3 - q**3. -27*q**3 Expand (-z**2 + 2*z - 2*z)*(3*z + z + z + 0*z - 3*z + 2*z + (0 + 0 - 2*z)*(-2 + 5 - 2) - 2*z + 0*z + 0*z - 2 + 2 - 4*z). 4*z**3 Expand (0 - 1 - 2)*(2 - 2 + 2*k**4 + (2*k - k - 2*k)*(-k**3 + 3 - 3) + (-2 + 3 - 3)*(-3*k**4 + 6*k**4 + 4*k**4)). 33*k**4 Expand -5*f**5 + 3*f**5 + 0*f**5 + (2*f**4 - 5*f**4 + f**4)*((-2*f + 2 - 2)*(-4 + 2 + 4) - 19*f - 14*f - 26*f). 124*f**5 Expand (-f - f + 0*f)*(0*f**4 - f**4 - 3*f**4) + 3*f**5 + 3 - 4*f**5 - 5. 7*f**5 - 2 Expand (1 - 1 - 2*f**3)*(-4 - f + 4) + (-8 - 12 + 10)*(f**4 + 4*f**2 - 4*f**2). -8*f**4 Expand (-5 + 3 - 3)*(-j - j + 0*j) - j + 0*j + 3*j. 12*j Expand (-9 + 3 + 0)*(-3*a + 3*a - a**2) + 2 - 2 - a**2. 5*a**2 Expand (-1 + 1 - 1)*(12*r - 4*r + 7*r). -15*r Expand 4*k - 2*k**3 - k**3 + k**3 + (-3 + 3 - 2*k**3)*(-3 + 0 + 2) + k**3 - 3*k**2 + 3*k**2. k**3 + 4*k Expand (0*o + 5*o - 3*o)*(-4*o**2 - o**2 + 3*o**2). -4*o**3 Expand 1 - 3*x**5 - 1 + (-4 + 4 + x)*(x**4 - 5*x**4 + 5*x**4) - x - 2*x**5 + x + x**5 + x**5 - 3*x**5 + x + 2*x**5 - 12*x**4 - 6*x**4 + 20*x**4. -3*x**5 + 2*x**4 + x Expand (-w - 4 + 2 + 1)*(1 - 1 - w**2). w**3 + w**2 Expand (2 - 2*m**2 - 5*m + 5*m)*(4*m - 2 + 2 + (-m - 4*m + 3*m)*(-2 - 1 + 1) + 1 - 1 - 2*m - 2 - m + 2). -10*m**3 + 10*m Expand (0 + 0 - c + (-3 - 1 + 3)*(-5*c + c + 2*c) + 0 + 0 - 2*c)*(-6*c + 2*c + 3*c). c**2 Expand (-2*k**3 + 0*k**3 - k**3)*(-k + 7*k - 3*k) + k - k - 2*k**2 - k**4. -10*k**4 - 2*k**2 Expand (3*c**3 - 2*c**3 - 3*c**3)*(4 - 2 - 1) + 7*c**2 + 2*c + 3*c**3 - 7*c**2. c**3 + 2*c Expand 9*l**4 - 4*l**4 + 3*l**4 + (-4 + 4 + 1)*(-2*l - l**2 + 2*l - l**4 - 1). 7*l**4 - l**2 - 1 Expand (0*c + 4*c - 3*c)*(-2*c + 7*c - 2*c) + 11*c + 4*c**2 - 11*c. 7*c**2 Expand (0*a + a + 0*a)*((2 + 0 + 0)*(-4 + 4 - 1) + (-1 + 4 - 1)*(-3 + 1 + 1)). -4*a Expand (0 + 0 + o)*(8*o - 8*o - 3*o**2)*(4*o + 2*o + 0*o). -18*o**4 Expand (-2 - v + 2)*(-6*v + 8*v + 2*v**2 - 3*v). -2*v**3 + v**2 Expand (0 + 1 + 0 + (4 - 3 - 2)*(-1 + 0 + 0) + 4 - 37 + 7)*(2*k**3 - 2*k**2 + 2*k**2). -48*k**3 Expand (a + 2*a - a)*(0 - 32 - 25)*(4 - 2 + 1). -342*a Expand a + a - a + (-4 - 1 + 3)*(2 + a - 2) - 2 + 2 - a - 2*a - a + 4*a + 0*a + 2*a + 0*a + 0*a - 4*a + 2*a + (4 - 1 - 1)*(3*a - 3*a - 3*a). -7*a Expand (-1 - 1 - 2 + (-2 + 6 - 2)*(-1 + 1 - 1) - 3 + 4 - 2)*(12*m + 14 - 14). -84*m Expand (2*r - r + 0*r)*(-3*r - r + 6*r)*(-r**3 + 2*r**2 - 2*r**2). -2*r**5 Expand (-b**2 - b + b + (2*b - 1 + 1)*(2 - 2 + 2*b) - 3*b**2 + 4*b**2 + 0*b**2 + b**2 - 3*b**2 - b**2)*(b**3 + 3*b**3 - 2*b**3). 2*b**5 Expand (r - 3*r + r)*(1 - 2 + 0)*(1 + 2 - 1)*(5*r + 41 - 20 - 4*r). 2*r**2 + 42*r Expand (-3*f**5 - 3*f**5 - 2*f**5)*(-3 + 3 - 1)*(-1 + 2 + 0). 8*f**5 Expand -3*x**2 - 1 + 1 + (x - 3*x + 12*x)*(-5*x + 2*x + 2*x). -13*x**2 Expand (2*g + 1 + 0*g - 2)*(-5*g**2 + 3*g**2 - 3*g**2) + 2*g**3 - g**3 + 0*g**3. -9*g**3 + 5*g**2 Expand (-4*h + 0*h + 0*h)*(3*h**3 + h**3 - 6*h**3). 8*h**4 Expand (-l + 0*l + 2*l)*(2*l - 5*l + 2*l) + (-1 - 5 + 5)*(-4*l**2 + 2*l**2 + 4*l**2) + (2 - 5 + 0)*(0 + 0 - 2*l**2). 3*l**2 Expand (j**4 + 0*j**4 - 2*j**4)*(0 - j + 0)*(3 + 1 - 1). 3*j**5 Expand (2*z - z + z)*(0 - 3 + 2)*(1 - 4 - 1). 8*z Expand (-3*u + 14*u - 2*u + (-3 + 1 + 1)*(u - 3 + 3))*(-4*u + 6*u - 4*u + 5 - 2*u - 5 + 1 + u - 1 + (-u + 2 - 2)*(0 - 2 + 1) - 2*u + 3*u + 0*u). -8*u**2 Expand (0*v**2 + v**2 - 3*v**2)*(-3*v**2 + 4*v**2 - 2*v**2) + 2*v - v**4 - 97*v**2 - 10*v**3 + 97*v**2. v**4 - 10*v**3 + 2*v Expand (-4*y + y + 2*y)*(0 + 5 - 3) + 3*y - 5*y + 3*y - 2*y + 4 - 4 - 2*y + y - 2*y. -6*y Expand (8*k**3 + 5*k**3 - 5*k**3)*(-k**2 - 3 + 3). -8*k**5 Expand (-40 - 20 + 38)*(-1 + 2 + 4)*((-3*f**3 + f**3 + 4*f**3)*(f - 2*f + 2*f) + f**4 + f**4 + 0*f**4). -440*f**4 Expand -2*q + 0 + 0 + (-1 + 0 + 2)*(2 + q - 2) + q - 5*q + 3*q + (1 + 1 - 1)*(-2 + 2 - q). -3*q Expand (-2 + 8 + 1)*(-7*g**5 + 2*g - 2*g) - 5*g**5 + 2*g**5 + 2*g**5. -50*g**5 Expand -i**3 - 27*i + 27*i + 4*i**3 + 0*i**3 + i**2 - 2*i**3 + i**3 + 0*i**3 - 3*i**3 + (-2 + 2 + 3*i)*(-2*i**2 + 5*i**2 - i**2). 5*i**3 + i**2 Expand (4*a - 3*a + a)*(0 + 2*a + 0) + 3 - 3 - a**2 - 2*a**2 + a**2 - 15 + 0. 2*a**2 - 15 Expand -5*x**2 + 3*x**3 + 5*x**2 + (-x**2 - 3 + 3)*(x + 0*x + 0*x). 2*x**3 Expand -28*m**2 + 12*m**2 - m**3 + 4*m**2 + (-3 + 2 + 3)*(1 + m**3 - 1). m**3 - 12*m**2 Expand (-y**3 + 0*y + 0*y)*(y + 4*y - 3*y) - y**4 + 5*y**4 - 3*y**4 - 4*y**4 + 6*y**4 + 3*y**2 - 2*y**2. y**4 + y**2 Expand (-3 - 3 + 5)*(-2*q + 4*q - 3*q) + (-4*q - 2*q + q)*(0 + 2 + 0). -9*q Expand (-7 - 6 - 4)*(2*n + 2*n - 3*n). -17*n Expand -n**2 - 2*n**5 + n**2 + (n**3 - n**3 - 2*n**3)*(6 - 6 + 21*n**2). -44*n**5 Expand 2*h**3 + 2*h - 2*h + (6*h + h + 11*h)*(2 + 2*h**2 - 2). 38*h**3 Expand r**3 - 3 + 3 + (-r - 4*r + 3*r)*(5*r**2 + 0*r**2 - 4*r**2) + (4*r**2 + 2*r**2 - 4*r**2)*(3*r - 5*r + 3*r) - 3*r**3 - 4*r**3 + r**3 - 2*r**3 + 2 - 2. -7*r**3 Expand (n - 4*n + 0*n)*(0 - 3 + 1)*(-6*n**4 + n**4 + 3*n**4). -12*n**5 Expand 2 - u**3 - 2 + (u + 0*u + u)*(-u**2 - 2 + 2) + 0*u**2 + 0*u**2 - u**3 - 2*u**3 - u**3 + 2*u**3. -5*u**3 Expand (-4 - 3*q + 4)*(-1 + 3*q - 1 + 0*q**2 - q**2). 3*q**3 - 9*q**2 + 6*q Expand -4*z**2 + 4*z**2 + 2*z**3 + (7*z + 2*z - 2*z)*(4*z**2 - 2*z**2 + 2*z**2) + (z**2 + 5*z - 5*z)*(-3*z + 2*z + 0*z). 29*z**3 Expand (0 - 2 - 3)*(1 + 2*k - 2*k + 2*k) + 12 - 12 + k. -9*k - 5 Expand (-4 + 1 + 5)*(-2 + k**4 - 2*k**4 + 5*k**2 - 3*k**2). -2*k**4 + 4*k**2 - 4 Expand s**4 - 4 + 4 + (-s - 3*s + 3*s)*(-6*s**3 + 4*s**3 + s**3) - 25 + 25 + s**4. 3*s**4 Expand (3*g**3 + 2*g**3 - 4*g**3)*(4*g - 67*g**2 - 4*g). -67*g**5 Expand y**3 - 4 + 4 + (-6 + 2 - 9)*(-y**3 + y**3 + 2*y**3). -25*y**3 Expand (q + 0*q + q)*(3 + 0 - 2)*(2*q**2 + 2 - 2). 4*q**3 Expand (4*t**3 - 5*t**3 + 6*t**3)*(35 - 6*t - 2*t**2 - 34 - t). -10*t**5 - 35*t**4 + 5*t**3 Expand (-2*o**3 + 2*o**3 - 2*o**4)*(6 - 2 - 2*o + 0) - 2*o**5 - 2*o**5 + 2*o**5. 2*o**5 - 8*o**4 Expand (-f + f - f**2)*(20*f**3 + 7*f**3 - 9*f**3)*(2 + 2 - 2). -36*f**5 Expand (12 - 11 - 27)*(u + u - u). -26*u Expand (-2*l + 4*l - 4*l)*(4*l + l - 3*l) + l**2 + 2*l**2 - 5*l**2 - 4*l**2 + 4*l**2 - 2*l**2 - 6*l + 6*l + l**2. -7*l**2 Expand (-b**3 + 2*b - 2*b)*(-7 + 13 - 8 - 8*b). 8*b**4 + 2*b**3 Expand (-7*c + 2*c + 2 + 3*c - 2*c**2)*(-c - 11*c - 2*c). 28*c**3 + 28*c**2 - 28*c Expand h**3 - h**3 - h**4 + (h**2 - 3*h**2 + 4*h**2)*(10*h - 16*h - 13*h)*(-1 + 1 + h). -39*h**4 Expand 42 - 76 - 2*t**2 + 35 + 8*t + (-2*t - 2 + 2)*(-2*t + t - t). 2*t**2 + 8*t + 1 Expand ((3 + 2 - 4)*(3*u**5 + 0*u**5 - u**5) - 2*u**5 + 6*u**5 - 2*u**5)*(-2 + 1 + 0)*(0 + 3 + 3). -24*u**5 Expand (0 + 4 - 5 + 2*u**2)*(u + 29*u + 35*u) + 0*u + 0*u - 2*u**3. 128*u**3 - 65*u Expand (0 - 2 + 4)*(23*h**3 + 21*h**3 - 19*h**3). 50*h**3 Expand (0*j**4 - 2*j**4 + 0*j**4)*(-1 + 1 - 2) - 5*j**4 + 2*j**4 + j**4. 2*j**4 Expand (-29*h + 29*h + 22*h**2)*(-3*h - 1 + 1). -66*h**3 Expand (14*c + 7*c - 2*c)*((2*c**2 + 1 - 1)*(-c + 0*c - c) - c**2 + c**2 - 3*c**3)*(3 - 1 + 0). -266*c**4 Expand (d - 2*d + 4*d)*((-2*d - 3*d + 3*d)*(4 + 2 - 4) + 163 - 163 - 9*d). -39*d**2 Expand (0 - 3 - 6)*(-3*t**2 + 3*t**2 - t**2 + 3*t + 1). 9*t**2 - 27*t - 9 Expand (3*t + 0*t - 4*t)*(20 - 20 + 6*t) - 3*t + 3*t + 2*t**2 - 1 + 2*t**2 + 1. -2*t**2 Expand (-2 + 2 - 2)*(q - 2*q + 0*q) + 0 + 0 + 2*q - 3*q - q + 6*q + (-5 + 4 + 2)*(q + 4 - 4) + 0 + 0 + q - 2*q + 3*q + q. 10*q Expand (-q**5 + 0*q**5 - q**5)*(-13 - 10 + 47). -48*q**5 Expand (3 - 3 - 2*k)*(4 + 1 - 2)*(-k + 0 + 0). 6*k**2 Expand (p - p - 3*p)*((3 - 4 - 1)*(2*p - 2*p - 2*p) + p + 2*p - 6*p). -3*p**2 Expand (-2 + 2*o + 2)*(0*o - 10*o + 20*o) + (4 - 2*o - 4)*(-4*o - 3*o + 6*o). 22*o**2 Expand 2*i - i**2 - 2*i + (4*i + 0*i - 3 + 1)*(4*i - 3*i + i
{ "pile_set_name": "DM Mathematics" }
)/(2 + -2 + 12/40). Factor -2/11*q**3 + p - 16/11*q + a*q**2. -2*(q - 2)**2*(q - 1)/11 Determine y, given that -11/3*y + 1/3*y**2 + y**3 + 7/3 = 0. -7/3, 1 Let o(a) be the second derivative of -1/15*a**6 + 13*a + 0*a**2 - 1/2*a**3 + 1/5*a**5 + 0 - 1/42*a**7 + 1/6*a**4. Let o(m) = 0. What is m? -3, -1, 0, 1 Suppose -14 = -5*g + 1. Suppose -43*h = -46*h + 6. Find m, given that 2/5*m**h - 2/5*m**g + 0 + 0*m = 0. 0, 1 Suppose -5*a = 3*a - 2032. Factor 6*v**2 + 48*v - 2*v**2 - 110 + a. 4*(v + 6)**2 Suppose 10 = 5*h, -3*y - h - 3*h = -14. Factor 2*r + 16*r + 5*r**3 + 16 - 6 + 7*r + 20*r**y. 5*(r + 1)**2*(r + 2) Determine m, given that -4*m**3 + 1 - 475*m**2 + 231*m**2 - 1 = 0. -61, 0 Let l = -6303 - -6310. Find o, given that 2*o**5 - 8*o - l*o**2 + 17/2*o**4 - 3/2 + 6*o**3 = 0. -3, -1, -1/4, 1 Let w be (-3)/28*744/(-279). Factor 1536/7*s - 96/7*s**2 + w*s**3 - 8192/7. 2*(s - 16)**3/7 Let l(m) be the third derivative of -m**6/30 + 2*m**5/15 + 7*m**4/2 + 12*m**3 + 41*m**2 - 3*m. Solve l(a) = 0 for a. -3, -1, 6 Let p(a) be the first derivative of -a**4/28 + a**3 + 45*a**2/14 + 23*a/7 - 6. Factor p(m). -(m - 23)*(m + 1)**2/7 Let s(w) be the third derivative of -w**8/1680 + w**7/840 + 4*w**3/3 - 2*w**2. Let q(u) be the first derivative of s(u). Suppose q(x) = 0. Calculate x. 0, 1 Factor -344*k + 4*k**3 + 1158*k - 8*k**3 - 250*k**2 - k**3 + 246*k - 1080. -5*(k - 2)**2*(k + 54) Let z(h) be the first derivative of h**6/72 - h**5/24 + 2*h**3 - 12. Let f(n) be the third derivative of z(n). Suppose f(g) = 0. What is g? 0, 1 Let c = 22 + -28. Let t(a) = -a**5 + 7*a**4 - 6*a**3 + 6*a + 6. Let i(r) = -r**5 + 6*r**4 - 5*r**3 + 5*r + 5. Let d(y) = c*i(y) + 5*t(y). What is w in d(w) = 0? 0, 1 Let w(d) = -14*d + 2. Let t be w(-1). Let i be 1*-2 + t/2. Find m such that 4*m**4 - 2*m**4 - m**5 - 8*m**2 + m**3 + i*m**2 = 0. -1, 0, 1, 2 Suppose 4*i = 6*i - 6. Suppose -6 = -3*x, 4*q - i*x = -0*q + 394. Find l, given that -5*l**4 + q*l**5 + 7 - 10*l**4 - 5*l**4 - 164*l**3 + 64*l + 4*l**2 + 9 = 0. -1, -2/5, 1 Solve -4/9*q**3 - 2/3 - 28/9*q + 2/3*q**4 - 32/9*q**2 = 0. -1, -1/3, 3 Let y = -3 + 4. Let o = y + 1. Solve -3*q**2 - 16 - q**2 + 25*q - q**o - 4 = 0 for q. 1, 4 Let l be (9/(-2))/((-1)/2). Let w = -24 + 26. Factor p**2 + l*p - 2*p**w + 4*p**2 + 6 + 0*p**2. 3*(p + 1)*(p + 2) Let b be (-56)/16 + 316/72. Solve 8/9 - 2/9*y**3 - 2/9*y**2 + b*y = 0. -2, -1, 2 Let y be (32/24)/(1/12). Suppose y = 3*d + 4. Factor d*q + 3*q**2 - 3 - 2 - 4 + 2*q. 3*(q - 1)*(q + 3) Let g(h) be the first derivative of 1/780*h**6 + 0*h - 3 - 1/78*h**4 - 4*h**2 + 1/390*h**5 + 0*h**3. Let p(b) be the second derivative of g(b). Factor p(k). 2*k*(k - 1)*(k + 2)/13 Let t(q) be the second derivative of -q**6/45 + q**4/6 + 2*q**3/9 - 32*q + 2. Find d such that t(d) = 0. -1, 0, 2 Let u be 2*(-6)/114 + 122/798. Let n(w) be the second derivative of -1/7*w**2 + 0 + 3*w + u*w**4 + 1/21*w**3. Factor n(s). 2*(s + 1)*(2*s - 1)/7 Let y(n) be the first derivative of -n**4 - 36*n**3 - 102*n**2 - 100*n - 214. Determine t, given that y(t) = 0. -25, -1 Let v be 2/8 + 108/(-48). Let w be v/10 - 336/(-80). Suppose -7*f + 85*f**2 - 86*f**2 + w*f - 2 = 0. What is f? -2, -1 Let s(b) = 21*b**3 + 40*b**2 + 8*b + 1. Let c(y) = -3*y + 1. Let l(r) = 15*c(r) - 5*s(r). Factor l(h). -5*(h + 1)**2*(21*h - 2) Suppose -88*j - 81*j**2 + 0*j**3 + 154*j**2 + 0*j**3 - 53*j**2 + 4*j**3 + 64 = 0. Calculate j. -8, 1, 2 What is s in -2/11*s**5 + 10/11*s**4 + 14/11*s**2 - 18/11*s**3 + 0 - 4/11*s = 0? 0, 1, 2 Determine h so that -16/3*h**2 + 4/3*h**4 - 8/3*h**3 + 8/3*h + 4 = 0. -1, 1, 3 Let j(h) be the third derivative of -1/72*h**4 - 9*h**2 - 1/180*h**5 + 0*h + 0 + 0*h**3. Factor j(g). -g*(g + 1)/3 Let x be -1 - 16/(-6) - 17/(-51). Find u such that u**5 + 4*u**3 - 5*u**3 - x*u**4 + u**4 - u**3 = 0. -1, 0, 2 Factor i**2 + 6/7*i + 1/7*i**3 + 0. i*(i + 1)*(i + 6)/7 Let d(b) = 5*b**2 + 31*b + 9. Let x = 21 - 19. Let w(p) = -p + 0 + 2 + 3*p**2 - x*p**2 + 7*p. Let c(g) = 6*d(g) - 33*w(g). Suppose c(m) = 0. Calculate m. -2 Let l(h) be the second derivative of 0*h**2 + 18*h + 4/3*h**3 + 9/10*h**6 + 3*h**4 + 27/10*h**5 + 0. Suppose l(t) = 0. What is t? -2/3, 0 Let b(p) = -7*p**3 - 74*p**2 + 165*p - 92. Let l(x) = 15*x**3 + 147*x**2 - 330*x + 186. Let h(c) = 9*b(c) + 4*l(c). Find a such that h(a) = 0. -28, 1 Factor 2*p**4 - 36*p**3 + 17*p**4 + 2*p**5 - 3*p**5 - 7*p**4. -p**3*(p - 6)**2 Let y(i) be the first derivative of -i**6/90 - 2*i**5/45 - i**4/18 - 6*i**2 - 12. Let m(l) be the second derivative of y(l). Factor m(h). -4*h*(h + 1)**2/3 Factor -18/11*c + 2/11 - 140/11*c**2. -2*(5*c + 1)*(14*c - 1)/11 Let c be 12 - ((-1)/(-3) + 1/(-3)). Let b be (16/6)/2 + c/18. Factor 2/7*o**b - 1/7 + 1/7*o - 1/7*o**4 + 1/7*o**5 - 2/7*o**3. (o - 1)**3*(o + 1)**2/7 Factor 6075*r + 1/4*r**3 - 135/2*r**2 - 182250. (r - 90)**3/4 Let a be ((-12)/(-15) - (-256)/(-20))/(-2). Let s(u) be the second derivative of -1/3*u**4 + a*u + 0*u**2 + 0 + 0*u**3 - 1/2*u**5. Find d such that s(d) = 0. -2/5, 0 Suppose 5*y + 32 + 3 = 5*n, 2*y + 10 = 0. Let j(u) be the first derivative of 9/2*u**n + 6*u + u**3 - 3. Factor j(w). 3*(w + 1)*(w + 2) Suppose 0 = 5*v - 5, -2*a = 3*v - 9. Find f, given that 4*f - 6*f**2 - 2*f - 5*f - a*f**3 = 0. -1, 0 Let g = -19 - -22. Let v(n) be the first derivative of 30*n**2 + g - 4*n + 4*n - 29*n**2 - n**3. Determine u so that v(u) = 0. 0, 2/3 Suppose 0 = 2*l + 5*f + 12, -2*l = -12*f + 14*f + 12. Let v be 3/l*8/(-7). Factor -4/7 + 4/7*i**2 - 4/7*i**3 + v*i. -4*(i - 1)**2*(i + 1)/7 Let g be (-160)/16*1/(-55). Factor 0*t - g*t**4 - 2/11*t**2 + 0 + 4/11*t**3. -2*t**2*(t - 1)**2/11 Let h(z) be the second derivative of 3*z**5/140 + 75*z**4/14 + 119*z. Factor h(x). 3*x**2*(x + 150)/7 Let w be 78/3*(-2)/(-4). Suppose 86 = 3*d - w. What is h in d*h**2 - 4 + 2*h + 0*h**2 + 9*h**2 = 0? -1/3, 2/7 Solve -11*s - 1/4*s**4 - 5 - 33/4*s**2 - 5/2*s**3 = 0 for s. -5, -2, -1 Factor 1/5*f**3 + 0*f + 0 + 6/5*f**2. f**2*(f + 6)/5 Let i(a) be the second derivative of a**6/180 - 7*a**3/3 + 3*a. Let y(f) be the second derivative of i(f). Factor y(d). 2*d**2 Let v(i) be the first derivative of -6250*i**5/9 - 625*i**4 - 200*i**3 - 24*i**2 - 317. Suppose v(j) = 0. Calculate j. -6/25, 0 Suppose -3*r - 12*q + 14*q = 0, 4*r - 3*q = 0. Let s(m) be the third derivative of 1/72*m**4 + 0 - 1/180*m**5 + 1/9*m**3 + r*m - 3*m**2. Factor s(g). -(g - 2)*(g + 1)/3 Suppose v - 3*m - 81 = -3*v, 3*m - 9 = -v. Suppose 4*d = 3*o, v - 1 = 5*o - d. Factor -4*i**3 + 3*i**o + 0*i**4 + 3*i**5 - 3*i**2 + i**3. 3*i**2*(i - 1)*(i + 1)**2 Suppose 3*h - 23 = h + 3*x, -3*x - 9 = 0. Factor 6*f**2 - 3*f**3 - h*f**4 + 9*f**5 + f**4 - 6*f**5. 3*f**2*(f - 2)*(f - 1)*(f + 1) Let d = -21 - -23. Suppose -5*h + b = -54, -3*h = -2*h - d*b - 9. Factor -5 - k + k**2 + 2*k**2 + h - 8*k. 3*(k - 2)*(k - 1) Let o(c) be the first derivative of c**4 + 36*c**3 + 486*c**2 + 2916*c + 81. Determine k, given that o(k) = 0. -9 Let g(w) = -15*w + 812. Let l be g(54). Let n(a) be the first derivative of 28/5*a**5 + 0*a - 7 + a**l + 5*a**3 + 9*a**4. Find y such that n(y) = 0. -1/2, -2/7, 0 Suppose 2*h + c = -0*h + 7, 4*c = h + 28. Suppose -5*i**2 + h + 15/2*i + 5/6*i**3 = 0. Calculate i. 0, 3 Suppose -176 = -2*n - 0*n. Let x = 175 - n. Suppose -36*d**4 + 2*d**2 + 26*d**4 - 26*d**2 - 26*d**4 + 12*d - x*d**3 = 0. Calculate d. -2, -2/3, 0, 1/4 Solve g - 7*g + 18453 - 3*g**2 - 18444 = 0. -3, 1 Let m(i) = 11*i**2 - 6*i - 119. Let d(b) = 10*b**2 - 5*b - 120. Let l(c) = 6*d(c) - 5*m(c). Factor l(s). 5*(s - 5)*(s + 5) Let y(u) be the first derivative of -u**6/30 + u**4/6 + u**2/2 + 3*u + 3. Let m(b) be the second derivative of y(b). Factor m(s). -4*s*(s - 1)*(s + 1) Factor -2/9*t**2 - 14/9*t + 20/3. -2*(t - 3)*(t + 10)/9 Suppose 0 = 3*l + r - 183, 0 = l + 2*l - r - 189. Suppose 2*h + 54 = l. Factor 0*k - 4/3*k**3 + 0*k**2 + 0 - 3*k**5 - 4*k**h. -k**3*(3*k + 2)**2/3 Factor 20/3 + 24*b**2 - 32/3*b**3 + 4/3*b**4 - 64/3*b. 4*(b - 5)*(b - 1)**3/3 Let u(n) = -262*n**2 - 10*n. Let r be u(-1). Let p = -250 - r. Determine b so that 0 - 3/7*b**p + 3/7*b = 0. 0, 1 Let s be 1912/(-18) - (3 + -5 - -3). Let r = -107 - s. Factor -r*t**2 - 4/9*t - 2/9. -2*(t + 1)**2/9 Factor 1/5*x**3 - 4/5*x + 1/5*x**2 - 4/5. (x - 2)*(x + 1)*(x + 2)/5 Let a(h) = 2*h**2 - 2*h. L
{ "pile_set_name": "DM Mathematics" }
-10 Let s(w) = w**2 - 23*w - 201. Calculate s(30). 9 Let m(z) = 3*z + 24. Determine m(-16). -24 Let m(o) = -26*o + 1. What is m(-3)? 79 Let x(n) = -n**3 + 9*n**2 + 15*n - 11. Calculate x(10). 39 Let f(b) = b**2 - 14*b + 3. Give f(0). 3 Let k(z) = -z**3 - 5*z**2 - z - 9. What is k(-5)? -4 Let d(s) = -s**3 + 7*s**2 - 4*s - 1. Give d(6). 11 Let o(t) = -6*t + 19. Determine o(10). -41 Let f(s) = 4*s**2 + s + 5. Give f(-2). 19 Let r(t) = 3*t. Calculate r(1). 3 Let l(a) = -3*a + 22. Give l(5). 7 Let j(l) = 4*l**2 + 6*l - 6. Give j(1). 4 Let n(s) = -s**3 - 6*s**2 - 4*s - 6. What is n(-5)? -11 Let g(m) = m - 20. Determine g(-13). -33 Let s(n) = -2*n**2 + 30*n + 61. Give s(17). -7 Let c(y) = -y**3 - 7*y**2 - 11*y - 13. Determine c(-5). -8 Let v(q) = 2*q**2 - 10*q - 8. Give v(-6). 124 Let o(b) = b**3 + 5*b**2 + 9*b - 9. What is o(-4)? -29 Let o(x) = 22*x - 354. What is o(16)? -2 Let i(f) = -f**3 - 3*f**2 + 11*f + 9. Determine i(-5). 4 Let g(q) = -q**3 + 5*q**2 + 7*q - 13. Calculate g(7). -62 Let o(y) = 9*y - 3. Give o(2). 15 Let p(u) = u**2 - 9*u + 4. Determine p(8). -4 Let h(o) = -o**3 - 11*o**2 - 13*o + 11. Determine h(-9). -34 Let a(l) = -6*l**2 + 4. Give a(-2). -20 Let l(b) = -b**3 - b**2 - 2*b - 15. Give l(-4). 41 Let l(q) = 3*q - 6. Calculate l(2). 0 Let f(x) = x**3 - 3*x**2 - 4*x - 1. What is f(3)? -13 Let q(z) = -z**2 + 9*z + 18. Calculate q(12). -18 Let f(l) = -l**3 - 30*l**2 - 57*l - 26. Determine f(-28). 2 Let n(t) = 5*t**3 + t + 1. Give n(-2). -41 Let j(c) = c**2 + 2*c - 7. Calculate j(-4). 1 Let d(m) = m**3 - 8*m**2 - 3*m - 27. Determine d(9). 27 Let w(f) = -f**3 + 6*f**2 - 4*f - 7. What is w(5)? -2 Let y(r) = 2*r**3 + 7*r - 7. Determine y(2). 23 Let y(f) = -f**3 - 11*f**2 + 24*f - 30. Determine y(-13). -4 Let t(o) = 4*o**3 - 2*o**2 - 3*o + 4. Give t(1). 3 Let i(t) = 3*t - 67. What is i(24)? 5 Let p(m) = -m**3 - 38*m**2 - 35*m + 70. Calculate p(-37). -4 Let d(g) = 6*g + 101. Give d(-7). 59 Let w(x) = x**3 - x**2 + x. Determine w(-4). -84 Let h(r) = -4*r + 23. Calculate h(4). 7 Let f(y) = y**3 + 7*y**2 + 10*y + 14. Determine f(-5). 14 Let m(a) = -a**3 + 6*a**2 + 30*a - 24. Determine m(9). 3 Let x(t) = -19*t - 85. Determine x(-5). 10 Let k(w) = 2*w**2 + w - 19. Give k(-4). 9 Let i(u) = 4*u**2 - 3. Give i(-3). 33 Let y(j) = -j**2 - 13*j - 39. Give y(-9). -3 Let i(b) = -9*b + 14. What is i(7)? -49 Let b(w) = -w**3 - 4*w**2 + 12*w + 36. Give b(-5). 1 Let s(g) = g**3 + 6*g**2 + 5*g - 6. What is s(-5)? -6 Let m(r) = 2*r + 26. What is m(-6)? 14 Let d(o) = o**2 - o - 39. What is d(7)? 3 Let d(w) = w**2 - 8*w - 6. Give d(7). -13 Let x(l) = -88*l - 6. Calculate x(-1). 82 Let h(t) = t**3 - 11*t**2 - 14*t + 37. Determine h(12). 13 Let o(g) = -5*g - 138. Calculate o(-26). -8 Let t(n) = -n**3 - 1. Determine t(3). -28 Let k(y) = -y**3 + 6*y**2 - 7*y - 4. Determine k(4). 0 Let f(i) = -i**3 - 13*i**2 - 12*i + 11. Calculate f(-12). 11 Let v(o) = o**3 - 17*o**2 + 14*o - 18. What is v(16)? -50 Let b(w) = -w**3 + 15*w**2 - 16*w + 25. Give b(14). -3 Let y(l) = -2*l - 27. Determine y(-18). 9 Let o(x) = -x - 2. What is o(-1)? -1 Let j(i) = -2*i**3 - 2*i**2 - 2*i - 4. Give j(-2). 8 Let c(d) = d**2 - 12*d - 10. Calculate c(0). -10 Let x(j) = -4*j + 22. What is x(7)? -6 Let w(r) = -r**3 + 22*r**2 - 54*r + 1. Calculate w(3). 10 Let z(v) = -v**2 - 6*v + 22. What is z(-9)? -5 Let a(c) = c**3 - 4*c**2 - 6*c - 2. What is a(5)? -7 Let h(y) = 2*y**3 + 5*y**2 - 2*y - 5. Determine h(-4). -45 Let i(z) = z**3 - 2*z**2 - z - 4. Determine i(0). -4 Let s(j) = j**3 + 13*j**2 + j + 3. What is s(-13)? -10 Let a(n) = -4*n**2 + 3*n - 7. What is a(3)? -34 Let d(g) = -g**2 + 11*g + 9. Give d(7). 37 Let i(x) = -62*x**3 - x**2. Calculate i(-1). 61 Let x(y) = -y**2 - 10*y - 8. What is x(-11)? -19 Let j(i) = -i**3 + 3*i + 5. Give j(-2). 7 Let t(z) = -2*z**3 + 15*z**2 - 5*z - 4. Calculate t(7). 10 Let y(z) = z**2 + 6*z + 6. Give y(-5). 1 Let y(t) = t**3 + 8*t**2 - 18*t - 47. Calculate y(-10). -67 Let m(h) = -h**2 - 10*h - 12. What is m(-9)? -3 Let a(p) = -p**3 + 17. Calculate a(0). 17 Let i(u) = 38*u**3 - 2*u**2 + 1. Determine i(1). 37 Let x(b) = -b**3 - 24*b**2 + 52*b + 9. Determine x(-26). 9 Let r(x) = x**3 + 10*x**2 + 5*x - 6. Calculate r(-9). 30 Let x(z) = z**3 - 10*z**2 - 8*z - 22. Give x(11). 11 Let i(l) = -l + 1. Determine i(-3). 4 Let d(x) = 3*x**2 + 44*x - 15. Calculate d(-15). 0 Let a(k) = 3*k - 14. What is a(8)? 10 Let l(u) = u**3 + 4*u**2 - u - 19. Calculate l(-4). -15 Let j(f) = -49*f - 13. Determine j(0). -13 Let l(d) = 5*d + 196. Give l(-38). 6 Let f(l) = -l**3 + 13*l**2 + l + 12. What is f(13)? 25 Let l(x) = x**3 + 27*x**2 + 71*x - 42. Give l(-24). -18 Let i(c) = -c**3 - 16*c**2 - 17*c - 26. Determine i(-15). 4 Let t(u) = -u**2 - 17*u + 32. Give t(-18). 14 Let d(h) = 34*h + 207. Determine d(-6). 3 Let r(a) = -2*a + 18. Determine r(12). -6 Let o(y) = -5*y - 3. Calculate o(-1). 2 Let m(v) = v**2 - 17*v + 20. Give m(14). -22 Let c(w) = w**3 - 9*w**2 + 6*w + 8. Determine c(8). -8 Let a(m) = -m**2 + 4*m - 13. Determine a(4). -13 Let w(l) = l**2 + 8*l + 6. What is w(-8)? 6 Let i(m) = 10*m + 1. Give i(-2). -19 Let n(x) = x - 5. What is n(9)? 4 Let n(f) = 59*f**2 - 2. What is n(1)? 57 Let w(h) = -h**3 + 11*h**2 - 11. What is w(10)? 89 Let r(o) = -4*o + 15. Calculate r(-11). 59 Let c(b) = -b**2 + 5*b - 6. What is c(5)? -6 Let n(i) = i**2 + 4*i + 5. Give n(-3). 2 Let p(v) = -v**2 - 12*v - 16. Give p(-12). -16 Let w(o) = -o**3 - 4*o**2 + 2*o + 4. What is w(-4)? -4 Let j(d) = 36*d**3 - d**2 + 1. What is j(-1)? -36 Let j(l) = l**3 + 8*l**2 - 6*l - 11. What is j(-8)? 37 Let q(w) = w**2 + 3*w + 9. Calculate q(4). 37 Let t(m) = -7*m - 1. Give t(-2). 13 Let g(r) = -2*r**2 + 8*r. Give g(5). -10 Let g(y) = -y**2 + 2*y - 1. Calculate g(6). -25 Let u(i) = -6*i**3 + 3*i**2 - 3*i + 2. Determine u(2). -40 Let x(b) = -b + 30. What is x(22)? 8 Let b(k) = -k**2 - 4*k - 8. What is b(-6)? -20 Let y(m) = -m**3 - 20*m**2 - 38*m - 34. Give y(-18). 2 Let s(x) = 2*x**2 + 4*x + 4. Calculate s(-3). 10 Let k(m) = -2*m + 15. Calculate k(6). 3 Let z(a) = a**3 + 20*a**2 - 33. Give z(-20). -33 Let p(n) = 2*n**2 - 7*n - 5. Give p(6). 25 Let z(g) = 2*g**2 - 40*g - 5. What is z(19)? -43 Let t(x) = -x**2 + 4*x + 35. What is t(-6)? -25 Let v(x) = -x**2 - 5*x - 2. Determine v(-5). -2 Let z(b) = b**3 + 8*b**2 + 5*b - 4. Give z(-6). 38 Let d(u) = -u + 23. Determine d(-19). 42 Let u(l) = -3*l - 11. Give u(-16). 37 Let t(a) = a**3 - 6*a**2 - 2*a + 14. Determine t(2). -6 Let a(l) = 2*l + 3. What is a(-2)? -1 Let w(u) = 4*u. What is w(1)? 4 Let q(o) = 2*o**2 - 29*o - 4. Determine q(16). 44 Let a(c) = -12*c + 97. Calculate a(9). -11 Let o(h) = -15*h - 144. Determine o(-10). 6 Let p(j) = 4*j**2 - 10*j + 35. Give p(7). 161 Let q(w) = -w**3 - 10*w**2 + 10*w. Determine q(-11). 11 Let d(k) = k**3 + 24*k**2 + 43*k - 19. Calculate d(-22). 3 Let z(i) = i**3 + 8*i**2 - 39*i - 72. Give z(-11). -6 Let c(h) = -h**3 + 6*h**2 - 3*h + 15. Calculate c(6). -3 Let t(v) = 4*v - 3. Give t(6). 21 Let n(p) = -p**3 - 20*p**2 - 64*p - 2. Determine n(-4). -2 Let f(x) = 4*x**3 - 8*x**2 - 2. Give f(2). -2 Let z(j) = 4*j - 15. Calculate z(-7). -43 Let y(j) = -10*j**3 + 37*j + 38. Determine y(-1). 11 Let i(x) = -x**3 + 4*x**2 - 8*x + 15. Calculate i(4). -17 Let s(y) = y**3 - 7*y**2 - 7*y + 1. Determine s(8). 9 Let o(r) = -3*r - 48. Give o(-18). 6 Let d(k) = 18*k - 3. What is d(-3)? -57 Let b(g) = g**2 - 9*g - 2. Calculate b(10). 8 Let p(z) = z**2 - 20*z - 16. What is p(19)? -35 Let o(p) = p**3 + 3*p**2 - 2*p - 5. Determine o(-3). 1 Let v(o) = -o**3 - 9*o**2 - 9*o - 19. Calculate v(-8). -11 Let i(h) = -h**3 + 3*h + 2. What is i(-3)? 20 Let m(t) = -2*t**3 + 35*t**2 - 18*t + 4. Determine m(17). -13 Let f(r) = 2*r**3 - 10*r**2 - 2*r + 20. What is f(5)? 10 Let c(x) = x**2 - 3*x - 2. What is c(4)? 2 Let d(l) = -2*l**3 + 2*l**2 - 2*l + 4. Determine d(2). -8 Let i(p) = p**2 - 13*p + 6. Give i(14). 20 Let o(p) = p**3 + 4*p**2 + 8*p + 7. What is o(-3)? -8 Let x(k) = 28*k + 15. Determine x(-1). -13 Let c(p) = -4*p - 78. Calculate c(-23). 14 Let o(c) = 28*c + 1. Calculate o(1). 29 Let l(i) = 7*i**3 + 4*i**2 + 5*i + 2. Give l(-1). -6 Let t(h) = -h**3 - 3*h**2 - 3*h - 3. Determine t(-5). 62 Let i(b) = b - 2. What is i(-3)? -5 Let n(s) = 7*s - 7. Give n(2). 7 Let g(u)
{ "pile_set_name": "DM Mathematics" }
ing order. 6, -1/5, -1, -5 Put -6/151, 4, -1/8 in decreasing order. 4, -6/151, -1/8 Sort -2, 4, 8, 1, 3 in decreasing order. 8, 4, 3, 1, -2 Put -5, 1, 12, -4, -8 in descending order. 12, 1, -4, -5, -8 Sort -2/19, 2/75, 6, 3 in decreasing order. 6, 3, 2/75, -2/19 Put 1, -1, 894 in descending order. 894, 1, -1 Sort 1/14, -0.1, 0.3, 13. -0.1, 1/14, 0.3, 13 Put -5, -3, 3 in descending order. 3, -3, -5 Sort 0.1, -208/17, 0, -3, 3/7 in descending order. 3/7, 0.1, 0, -3, -208/17 Sort -25, -2, 3, -4 in increasing order. -25, -4, -2, 3 Put -1/2, 3/5, 0.1, -40, -15 in descending order. 3/5, 0.1, -1/2, -15, -40 Put 4, 0, 1, -1 in decreasing order. 4, 1, 0, -1 Sort -2, -4, -24, 2, -5 in decreasing order. 2, -2, -4, -5, -24 Put -4, -7, -5, -84 in increasing order. -84, -7, -5, -4 Sort 5, -1, -416 in ascending order. -416, -1, 5 Sort 5, -4, -2/7, -3 in decreasing order. 5, -2/7, -3, -4 Put 5, 0, 3, -5 in increasing order. -5, 0, 3, 5 Put -5/2, -2/11, -2, -1.2 in descending order. -2/11, -1.2, -2, -5/2 Put 2/5, -0.1, -0.06, 0.3 in decreasing order. 2/5, 0.3, -0.06, -0.1 Put 5, 14, -2, 2, 3 in decreasing order. 14, 5, 3, 2, -2 Put -867, 8, 2 in descending order. 8, 2, -867 Put -356, -2, -5 in decreasing order. -2, -5, -356 Sort 7, 0, 2, -2. -2, 0, 2, 7 Sort 8, -5, -7. -7, -5, 8 Sort 5, -1/5, 3/145, -3 in ascending order. -3, -1/5, 3/145, 5 Put -750, -3, 3 in ascending order. -750, -3, 3 Sort -0.03, 3, 5, -0.225 in descending order. 5, 3, -0.03, -0.225 Put 5, -6, 3 in descending order. 5, 3, -6 Put 0.03, -1, 5, -49, 0.4 in decreasing order. 5, 0.4, 0.03, -1, -49 Put 8, -8, -2, 4 in ascending order. -8, -2, 4, 8 Sort -3, -9, 98 in descending order. 98, -3, -9 Sort -3.5, -4, 0, -1, 2 in descending order. 2, 0, -1, -3.5, -4 Sort 0.02, 0, 3/5 in ascending order. 0, 0.02, 3/5 Sort -4, -12, -0.5 in descending order. -0.5, -4, -12 Sort -3/25, -5, 2/7, -4 in descending order. 2/7, -3/25, -4, -5 Put -3, 0.3, 2/11, 1/5 in decreasing order. 0.3, 1/5, 2/11, -3 Sort -13, 0, -69, 5, 2 in increasing order. -69, -13, 0, 2, 5 Sort -71, 4, 1, 5 in descending order. 5, 4, 1, -71 Sort 28, 140, 5 in decreasing order. 140, 28, 5 Sort 1, -3, -42 in ascending order. -42, -3, 1 Sort -2/3, -3/2, 4, 1283 in descending order. 1283, 4, -2/3, -3/2 Sort -5, -2, -4, -42 in decreasing order. -2, -4, -5, -42 Put -11, 3, -2/11 in decreasing order. 3, -2/11, -11 Put 0.2, 64, -1.4 in increasing order. -1.4, 0.2, 64 Sort -3, -1/7, -2, -8. -8, -3, -2, -1/7 Sort -2, 0, -4, 25. -4, -2, 0, 25 Put 0, -16, -2, -5 in descending order. 0, -2, -5, -16 Sort -23, 5, 2, 12, -1. -23, -1, 2, 5, 12 Sort -27, 0, 6, -4 in descending order. 6, 0, -4, -27 Sort 3/2, 0.1124, 2 in increasing order. 0.1124, 3/2, 2 Sort -2, -121, -14 in descending order. -2, -14, -121 Sort 150, -4, 2, -2 in ascending order. -4, -2, 2, 150 Put 1, -314, 11 in decreasing order. 11, 1, -314 Put -2, 12, 8, -4 in descending order. 12, 8, -2, -4 Sort 3, 14, 1, -2/7 in decreasing order. 14, 3, 1, -2/7 Sort -0.1, 53/9, -3 in decreasing order. 53/9, -0.1, -3 Put -5, 5, 1, -10, 7 in descending order. 7, 5, 1, -5, -10 Put -65.3, 2/11, -5, -0.4 in descending order. 2/11, -0.4, -5, -65.3 Put 513, 5, 8 in decreasing order. 513, 8, 5 Sort -3/53, 6, -2, 5 in increasing order. -2, -3/53, 5, 6 Sort -1, -23, -9. -23, -9, -1 Put -21, -2, -3, -1, 3 in decreasing order. 3, -1, -2, -3, -21 Sort 158, -4, 3 in descending order. 158, 3, -4 Sort -32, -0.4, 4/5, 3 in descending order. 3, 4/5, -0.4, -32 Put 0.4, 1/6, -3, 2/11 in descending order. 0.4, 2/11, 1/6, -3 Put -4, 24, -20 in descending order. 24, -4, -20 Sort 4, 31, 3, -1 in decreasing order. 31, 4, 3, -1 Put -2, 5, 1 in descending order. 5, 1, -2 Sort 3, -2, -293, 1/6, 0 in increasing order. -293, -2, 0, 1/6, 3 Sort 3, 10, 75 in ascending order. 3, 10, 75 Sort -59/4, 29, 5 in descending order. 29, 5, -59/4 Put 1, 0, 33 in decreasing order. 33, 1, 0 Put 0.5, -0.4, 34, -1 in decreasing order. 34, 0.5, -0.4, -1 Put 201, -1/4, -24 in increasing order. -24, -1/4, 201 Sort 2/13, -2, 84.8, 2 in increasing order. -2, 2/13, 2, 84.8 Sort 0, -302, -2 in ascending order. -302, -2, 0 Put -6, 11, 3 in increasing order. -6, 3, 11 Sort 380, -5, 0 in increasing order. -5, 0, 380 Put 0.3, 1/12, -1/9 in decreasing order. 0.3, 1/12, -1/9 Put 48/5, -1, -5 in decreasing order. 48/5, -1, -5 Sort 0.4, 0, -2/11, 2, -0.002. -2/11, -0.002, 0, 0.4, 2 Put 0, 3, -16 in decreasing order. 3, 0, -16 Sort 120/67, -0.5, 3 in decreasing order. 3, 120/67, -0.5 Put -1, -103, 5 in increasing order. -103, -1, 5 Sort 0, -2, -0.4, 0.2 in decreasing order. 0.2, 0, -0.4, -2 Sort 81/7, 3, 1/4, -0.3, -4. -4, -0.3, 1/4, 3, 81/7 Sort -3, 4, 0, 30, 2. -3, 0, 2, 4, 30 Sort -18, 9, 1 in decreasing order. 9, 1, -18 Put 2, -6, 3 in decreasing order. 3, 2, -6 Sort 5, -40, 4. -40, 4, 5 Put -5, -1, -2, 2 in increasing order. -5, -2, -1, 2 Sort 2, -1, -2/71, -8/21 in ascending order. -1, -8/21, -2/71, 2 Put -124, -7, -3, 2 in ascending order. -124, -7, -3, 2 Put -1/4, -2, -4, -49, 7 in increasing order. -49, -4, -2, -1/4, 7 Put 4, -1, -6211 in decreasing order. 4, -1, -6211 Put 4, 5, -0.07, -3 in descending order. 5, 4, -0.07, -3 Sort 2, -211, 3, 1 in increasing order. -211, 1, 2, 3 Sort -224, -1, 2, -3, -5 in decreasing order. 2, -1, -3, -5, -224 Put -15, -31, -1 in descending order. -1, -15, -31 Sort -8, 4, -5, -108, 0 in increasing order. -108, -8, -5, 0, 4 Put 2, -3, -1, -11, 20 in descending order. 20, 2, -1, -3, -11 Put -15, -10, 7 in increasing order. -15, -10, 7 Sort -4, -328, 4, 0 in decreasing order. 4, 0, -4, -328 Put 2, -3, 0, 21 in descending order. 21, 2, 0, -3 Sort -3.2, 1/5, -0.5, 5, 2/13. -3.2, -0.5, 2/13, 1/5, 5 Put -182, -4, 0 in ascending order. -182, -4, 0 Put 0.5, 18, 0.0594 in descending order. 18, 0.5, 0.0594 Sort -1, 7, -2 in decreasing order. 7, -1, -2 Sort 0.09, 3, 0.5, -5. -5, 0.09, 0.5, 3 Sort -5, 6, 5 in decreasing order. 6, 5, -5 Sort -3, 108, 2, -5, 0 in descending order. 108, 2, 0, -3, -5 Sort -12, -68, -2 in decreasing order. -2, -12, -68 Sort -1/4, -4, -637, -2/13 in increasing order. -637, -4, -1/4, -2/13 Put 0.02, 0.1, 1/3, 2, -1/2 in descending order. 2, 1/3, 0.1, 0.02, -1/2 Sort 2/9, 0, 8, 1/4, 43 in decreasing order. 43, 8, 1/4, 2/9, 0 Put -0.16, 6, -2/13, 0.5 in decreasing order. 6, 0.5, -2/13, -0.16 Put -4, 1, 3, 107 in decreasing order. 107, 3, 1, -4 Sort -2, 8, -29, 2 in decreasing order. 8, 2, -2, -29 Sort 2, -3, 2/13, 57/2, -2/9 in descending order. 57/2, 2, 2/13, -2/9, -3 Put 2/3, 2.5, 0.2, 1/2 in increasing order. 0.2, 1/2, 2/3, 2.5 Sort -2, -3, -29 in decreasing order. -2, -3, -29 Sort 0, 3, -2, 2 in decreasing order. 3, 2, 0, -2 Sort 4, 15, 5, -5. -5, 4, 5, 15 Sort 4, -7, 0, 1, 6 in ascending order. -7, 0, 1, 4, 6 Put -11, -0.5, -2, -1/5 in decreasing order. -1/5, -0.5, -2, -11 Sort 2, -87, 4, -2 in decreasing order. 4, 2, -2, -87 Sort -2, -1/6, 5, 0.3. -2, -1/6, 0.3, 5 Put 4, 0, 162, 3 in decreasing order. 162, 4, 3, 0 Put 4, -5/7, -5/3 in decreasing order. 4, -5/7, -5/3 Put 0, -101, 5, -30 in descending order. 5, 0, -30, -101 Sort 1, 0, -5, 24, -1. -5, -1, 0, 1, 24 Put 6, -9, -3, 3 in decreasing order. 6, 3, -3, -9 Put 1/4, 0.4, 1, 2 in descending order. 2, 1, 0.4, 1/4 Sort 5, 1/2, 92. 1/2, 5, 92 Put 17, 2, 14, -2 in ascending order. -2, 2, 14, 17 Sort 9, 5, 3, -5, 4. -5, 3, 4, 5, 9 Sort 6, -3, 13, 1 in descending order. 13, 6, 1, -3 Sort 4, 0, -6 in decreasing order. 4, 0, -6 Sort 30, -7, -1 in increasing order. -7, -1, 30 Sort 2, 1376, 3. 2, 3, 1376 Sort -0.43, -102, -4. -102, -4, -0.43 Put -1, -3, -17, 4 in decreasing order. 4, -1, -3, -17 Put -5, -515, 1, -4 in decreasing order. 1, -4, -5, -515 Put 1598, -4, -3 in ascending order. -4, -3, 1598 Sort 463, -4, 1. -4, 1, 463 Sort -1.1, -0.1, -0.3, 3 in descending order. 3, -0.1, -0.3, -1.1 Sort -1130, 5, 0 in descending order. 5, 0, -1130 Sort 265, -1, 2. -1, 2, 265 Sort -0.3, -11, 0.8. -11, -0.3, 0.8 Put -1, -3, -2352 in ascending order. -2352, -3, -1 Sort -81, 1, 3, -4 in increasing order. -81, -4, 1, 3 Sort -5, 0.5, -5/3, -12 in increasing order. -12, -5, -5/3, 0.5 Put 317, 2/11, -3, 0 in descending order. 317, 2/11, 0, -3 Sort 3, 0, -2, 37 in decreasing order. 37, 3, 0, -2 Sort 1.1, 2, 5, 1, 2/3 in ascending order. 2/3, 1, 1.1, 2, 5 Sort 2, -2, -41, -30
{ "pile_set_name": "DM Mathematics" }
f))? 9*f**2 Let l(c) = 3*c. Let o(w) = 1173*w - 2. Calculate l(o(r)). 3519*r - 6 Let q(z) be the second derivative of z**4 - z. Let v(t) be the second derivative of t**3/6 + 34*t. Determine v(q(p)). 12*p**2 Let a(i) = i - 3. Let t(m) = -1. Let k(b) = -a(b) + 3*t(b). Let x(z) be the first derivative of z**3 + 4. What is k(x(j))? -3*j**2 Let u(s) = s. Let a(i) = 4*i + 8. Let q(t) = -1 + 0 + 2. Let d(y) = a(y) - 2*q(y). Let p(c) = -7*c - 11. Let n(g) = 11*d(g) + 6*p(g). Determine n(u(j)). 2*j Let q(x) = 2*x**2. Let c(z) = 1903*z - 2. What is q(c(t))? 7242818*t**2 - 15224*t + 8 Let l(x) = 0*x**2 + 0*x**2 + 2*x**2 + x**2. Let k(g) be the first derivative of g**3/3 - g - 1. Let q(v) be the first derivative of k(v). Determine q(l(n)). 6*n**2 Let k(y) = -18*y. Let r(m) = -25*m. Determine r(k(g)). 450*g Let b(r) = 2*r**2 + 101*r. Let s(v) = v. Determine s(b(i)). 2*i**2 + 101*i Let h(k) = -2*k**2. Let g(c) be the second derivative of -c**4/6 - 8*c. Calculate g(h(u)). -8*u**4 Let y(t) = 2*t**2. Let h(k) = -4*k**2 + 3*k. Let d(v) be the second derivative of 7*v**4/12 - 5*v**3/6 + v. Let i(f) = 3*d(f) + 5*h(f). Determine y(i(p)). 2*p**4 Let f(o) = 11*o - 2 - 2*o + 2. Let h(q) = -2*q. Determine f(h(w)). -18*w Let v(k) = 142*k + 2. Let q(d) = -3*d. Determine q(v(u)). -426*u - 6 Let c(s) = 158*s**2. Let m(i) = 3*i + 5. Calculate c(m(r)). 1422*r**2 + 4740*r + 3950 Let c(q) = -q**2. Let a be 26/(-3) + 2/3. Let v = a + 10. Let u(h) = 0*h**2 - h**2 + 0*h**v. Calculate u(c(w)). -w**4 Let u(s) be the first derivative of -3*s**2/2 + 18. Let i = 0 - -1. Let l(x) = -x**2 + 1 - i. Give l(u(p)). -9*p**2 Let z(o) = 4*o**2. Let b be (-4)/2*(-1 - 0). Let u(r) = b*r**2 - 6*r**2 + 5*r**2. Give z(u(k)). 4*k**4 Let b(v) = -72*v. Let t(k) = -4*k**2 - 10. Determine b(t(l)). 288*l**2 + 720 Let i(w) = -5*w**2 - 6*w. Let b(m) = -30*m**2 - 35*m. Let l(a) = -6*b(a) + 35*i(a). Let h(r) = 5*r**2. Calculate l(h(d)). 125*d**4 Let k(y) = -2*y. Let x(c) be the third derivative of 3*c**4/8 + 10*c**2. What is k(x(w))? -18*w Let a(k) = 2*k**2. Let o(t) = 480*t**2. What is o(a(q))? 1920*q**4 Let z(d) = 1 + 9 - d - 10. Let c(s) = -s - s + 0*s. Give z(c(q)). 2*q Let u(y) be the third derivative of -y**4/6 + 8*y**2. Let z(v) = v. Give z(u(h)). -4*h Let z(d) = -32*d + 2. Let o(g) = -72*g. Determine o(z(v)). 2304*v - 144 Let x(j) = -j. Suppose -4*g + 39 = -g. Let p(l) = g + 0*l - 9*l - 13. Give p(x(i)). 9*i Let j(o) = 2*o**2. Let k(s) = -s**2 - 5*s - 3. Let z be k(-3). Let x(v) be the first derivative of v**2 + 4 + z*v - 3*v + 0*v**2. Give x(j(c)). 4*c**2 Let x(t) = -t**3 - t**2 - t + 4. Let q be x(0). Let y(v) be the third derivative of 0 + 2*v**2 + 0*v**3 - 1/12*v**q + 0*v. Let w(c) = -c. Determine y(w(f)). 2*f Let f(g) be the first derivative of 3*g + 3 - 7/6*g**3 + 0*g**2. Let t(r) be the first derivative of f(r). Let v(k) = -k**2. Calculate t(v(s)). 7*s**2 Let s(g) = 298*g. Let d(i) = i**2. Determine d(s(b)). 88804*b**2 Let a(p) = -p + 3*p - 4*p + 0*p. Let y(x) = x - 2. Let v(m) = 3*m - 7. Let q(z) = 2*v(z) - 7*y(z). Determine a(q(j)). 2*j Let l(a) = 522*a**2. Let s(t) = -t. Give l(s(r)). 522*r**2 Let j(z) be the second derivative of z**4/6 + z. Let l(r) be the third derivative of r**4/2 - 24*r**2 - 2. Calculate l(j(b)). 24*b**2 Let i(u) be the third derivative of -3*u**4/4 - 5*u**2. Let h(n) = n. Calculate h(i(y)). -18*y Let z(l) be the first derivative of 3*l**5/40 + l**3/3 + 7. Let u(d) be the third derivative of z(d). Let n(j) = -2*j. Give u(n(p)). -18*p Let l(r) = -5*r**2 - 3. Let d(t) = -16*t**2 - 10. Let o = -32 - -22. Let z(h) = o*l(h) + 3*d(h). Let a(c) = 13*c. Determine z(a(n)). 338*n**2 Let i(x) = -2*x. Let q(l) be the second derivative of 19*l**4/12 - 38*l. Give i(q(d)). -38*d**2 Let v(w) = 2*w**2 + 32*w. Let g(d) = -2*d. What is g(v(y))? -4*y**2 - 64*y Suppose -5*l = -2*f + 4*f - 18, 4*f - 24 = -4*l. Let j(u) = -2*u + 0*u - l*u. Let y(h) = -2*h**2. Give y(j(g)). -32*g**2 Let w(f) = 2*f + 23. Let i(y) = -4*y. What is i(w(s))? -8*s - 92 Let c(k) = -7*k - 19. Let r(n) = 2*n**2. Calculate r(c(w)). 98*w**2 + 532*w + 722 Let c(g) = 36*g**2. Let w(s) = -2*s**2. Determine w(c(j)). -2592*j**4 Let l(a) = 67*a**2 - 2. Let r(f) = 18*f. Calculate l(r(u)). 21708*u**2 - 2 Let i(p) = 69*p**2. Let r(s) = 2*s**2 + 56*s. Determine r(i(d)). 9522*d**4 + 3864*d**2 Let v(o) be the first derivative of -o**3/3 - 19. Let k(r) be the first derivative of 5*r**2/2 - 3. What is k(v(d))? -5*d**2 Let i(o) = 11*o. Let j(y) = 107*y. Determine i(j(k)). 1177*k Let y(l) = -l - 20 + 37 - 17. Let q(u) = -4*u**2 - u**2 + 4*u**2. Give q(y(v)). -v**2 Let y(h) = h**2 + 1492 - 1492. Let b(s) = -7*s**2. Determine y(b(i)). 49*i**4 Let a(z) = 3*z**3 + z - 1. Let p be a(1). Let g(i) = -3*i**2 + 8*i**2 - p*i**2. Let h(x) be the first derivative of 2*x**3/3 + 1. Determine h(g(q)). 8*q**4 Suppose 5*n - 11 - 14 = 5*x, -4*x - 20 = 2*n. Let j(d) = -2*d + n*d + 3*d - 3*d. Let t(g) = 7*g**2. Calculate t(j(w)). 28*w**2 Let d(x) = x**2. Let p(s) = -105*s - 1. What is d(p(r))? 11025*r**2 + 210*r + 1 Let q(h) = -2*h. Let l be 10/6 + (-5)/(-15). Let t(z) = -l*z**2 - 10 + 10. Calculate t(q(s)). -8*s**2 Let r(l) = 2*l. Let i(y) = -2*y**2. Give r(i(g)). -4*g**2 Let q(r) = 3*r. Let s(k) be the first derivative of k**3/6 - 2*k - 5. Let w(p) be the first derivative of s(p). Determine q(w(h)). 3*h Let a be (1 + 2 + -3)/1. Let d(w) = a + 0 - 4*w**2. Let n(y) = 2*y**2 + 0*y + 0*y. What is d(n(i))? -16*i**4 Let v(s) = 3*s**2. Let o(y) = 410*y**2. Determine o(v(b)). 3690*b**4 Let j(a) = -2*a**2. Let v(l) = 15892*l**2. Determine j(v(q)). -505111328*q**4 Let h(b) = -2*b**2. Let w(u) = 7*u + 5. Let n(i) = 2*i + 6. Let y(d) = d + 2. Let q(c) = 4*n(c) - 14*y(c). Let g(k) = 5*q(k) + 4*w(k). Calculate h(g(r)). -8*r**2 Let n(r) = -1767*r + 3. Let o(k) = -k**2. Give n(o(h)). 1767*h**2 + 3 Let b(y) = 3*y**2. Let u(h) = 55*h**2. Determine u(b(i)). 495*i**4 Let i(w) = w. Suppose k + 12 = 4*k. Suppose 2*f - 3*v = 7, -k*v - 8 = -3*f - 2*v. Let g(r) = r - f*r + r - 2*r. Give i(g(n)). -2*n Let w(a) = -a + 1. Let s(x) = 2*x - 3. Suppose -4*z = -8*z + 12. Let t(d) = z*w(d) + s(d). Let g(c) = -c. Give g(t(j)). j Let h(d) = -d. Let s = 6 - 11. Let x(k) = 2*k + 6. Let y(a) = 1. Let m(f) = s*x(f) + 30*y(f). Give m(h(j)). 10*j Let r(p) = -p. Let f(a) = -229*a. Calculate r(f(z)). 229*z Let r(u) = 223*u**2. Let g(n) = -43*n + 2. Give r(g(j)). 412327*j**2 - 38356*j + 892 Let o(b) = 2*b**2. Let x(s) = -s**3 + 10*s**2 - 8*s - 7. Let u be x(9). Let n(t) = 0*t**2 + u*t**2 - t**2. What is o(n(h))? 2*h**4 Let b(h) = 18*h**2 - 34*h**2 + 15*h**2. Let m(c) be the second derivative of -2*c + 0*c**3 + 1/12*c**4 + 0*c**2 + 0. Determine m(b(y)). y**4 Let f(o) = -o. Let c(m) = -3824*m. What is f(c(k))? 3824*k Let o(v) = -4*v**2. Let x(w) = w - 30. Give x(o(f)). -4*f**2 - 30 Let a(s) = 5*s + 8. Let j(k) = 25*k**2. Determine j(a(f)). 625*f**2 + 2000*f + 1600 Let h(k) = -k. Let b(s) be the second derivative of -5*s**3/6 - s. Calculate h(b(p)). 5*p Let y(f) = 9*f - 13. Let h(q) = 4*q - 6. Let x(z) = 13*h(z) - 6*y(z). Let d(g) be the third derivative of g**4/12 - g**2. Determine d(x(c)). -4*c Let t(n) = -n - 5. Let r(c) = 1. Let f(p) = -5*r(p) - t(p). Let o(z) = 2*z. What is f(o(i))? 2*i Let w(i) = -2*i**2. Let d(z) = -5*z**2 + 6*z. Let c(u) = 45*u**2 - 55*u. Let g(a) = 6*c(a) + 55*d(a). Determine g(w(f)). -20*f**4 Let q(y) = -2*y. Let z(r) be the third derivative of r**4/24 + 7*r**2. Determine q(z(v)). -2*v Let u(v) = v**2 + 1. Let g(n) = 9*n. Determine u(g(l)). 81*l**2 + 1 Let j(s) be the third derivative of 2*s**2 + 0*s + 0*s**3 + 1/24*s**4 + 0. Let b(i) be the second derivative of i**4/6 - i. What is b(j(d))? 2*d**2 Let g(p) = p + 4. Let b(x) = -x - 3. Let t(m) = -4*b(m) - 3*g(m). Let s(f) be the third derivative of f**5/15 - 2*f**2. Calculate t(s(j)). 4*j**2 Let s(o) = 12*o. Let r(a) = -31*a. Give s(r(n)). -372*n Let x(r) = 9*r**2 + r. Let w(z) = z**2 + z. Let j(i) = 2*w(i) - 2*x(i). Let k(v) = -2*v. Give k(j(c)). 32*c**2 Let t(i) = -5*i. Let k(b) = -b. Give t(k(q)). 5*q Let a(g) = 3*g. Let u(s) = -s. Let d(o) = -2*a(o) - 5*u(o). Let p be 6 + ((-8)/4)/2. Let y(f) = 3*f**2 - f**2 - p*f**2 + 4*f**2. What is y(d(r))? r**2 Let j(h) = -4*h**2 - 2*h**2 + 3*h**2 - 2*h**2. Let a(x) = -x**2. Gi
{ "pile_set_name": "DM Mathematics" }
er when f is divided by s. 16 Let n = -139 + 141. What is the remainder when ((-1128)/(-28))/(n - (-39)/(-21)) is divided by 57? 54 Let o(x) = -3*x - 7. Let z(q) = q**3 + 15*q**2 + 14*q - 10. Suppose m - 14 = 2*m. Let i be z(m). Calculate the remainder when o(i) is divided by 8. 7 Suppose -2*h - d + 42 = -3*d, 0 = -2*h - 2*d + 42. Calculate the remainder when 227 is divided by h. 17 Suppose 8*b + 19 = 51. Suppose b*n - 66 = 178. What is the remainder when n is divided by 16? 13 Let o(u) = -2*u**2 - 9*u - 8. Let n be o(-6). Let p = 19 - n. Suppose 4*j = 17*j - 156. Calculate the remainder when p is divided by j. 9 Suppose 317 = 5*q + 4*c, -122 - 125 = -4*q - c. Calculate the remainder when 364 is divided by q. 59 Let q = 1313 + -1214. What is the remainder when 206 is divided by q? 8 Calculate the remainder when -24*(-20)/(-400) - (-3442)/10 is divided by 118. 107 Suppose 0 = -5*m + 75 + 240. Let v = -848 + 881. Calculate the remainder when m is divided by v. 30 Let r(f) = -f**2 + 27*f - 83. What is the remainder when 194 is divided by r(14)? 95 Suppose -125 = -f - 4*f. Let o(z) = -3*z**2 - 7*z + 22. Let n be o(5). Let y = n + 101. Calculate the remainder when f is divided by y. 12 Let u = -9 + 144. What is the remainder when u is divided by 31? 11 Let d(a) = -a**2 + 23*a - 110. What is the remainder when 56 is divided by d(10)? 16 Let s(x) = -x**3 - 3*x**2 - 2*x - 3. Let a be s(-2). What is the remainder when a*4/(-18) + (-302)/(-6) is divided by 13? 12 Suppose -117*i = -137*i + 1700. What is the remainder when i is divided by 32? 21 Suppose -2*l + 171 + 79 = 4*f, 0 = 2*f + 4*l - 134. Suppose g = 5*a - 5, 0*g - 4*a + f = 3*g. What is the remainder when g*(20/(-6) + 4) is divided by 3? 1 Let p = 946 + -937. Suppose 0 = 3*x + k - 57 + 8, 5*x - 4*k = 59. Calculate the remainder when x is divided by p. 6 Let x(n) = 579*n**3 + 8*n**2 - 12*n + 4. What is the remainder when x(1) is divided by 29? 28 Let k = -23 + 24. Calculate the remainder when -3*3/27 - (-19)/3 is divided by k. 0 Suppose l = 11 - 3. Let r be ((-4)/6)/(22/231). What is the remainder when l - r - (-1)/(-1) is divided by 8? 6 Let g(n) be the second derivative of n**4/6 + 3*n**3/2 + 4*n**2 + 3*n. Suppose 0 = 113*r - 119*r + 294. Calculate the remainder when r is divided by g(-6). 23 Let d(r) = -2*r**3 - r**3 + 2*r**2 + 2 - r**3 + 3*r**3 + 5*r. Let n be d(4). Calculate the remainder when ((-5)/n)/((-2)/(-52)) is divided by 3. 1 Let r be (0/1)/((-1)/(-1)). Let p = r - -14. Suppose 26*f + 3926 = 177*f. Calculate the remainder when f is divided by p. 12 Let j(w) = 18*w**2 + 6*w + 11. What is the remainder when j(-3) is divided by 23? 17 Let h = 103 + -147. Let w = h + 104. What is the remainder when w is divided by 16? 12 Let y(r) = 5*r - 14. Let o(j) = 3*j**3 - 3*j**2 + 1. Let p be o(2). Let m be y(p). Suppose 0*f = f - m. Calculate the remainder when f is divided by 13. 12 Let l = 1507 - 604. Calculate the remainder when l is divided by 298. 9 Suppose -23*w + 26*w = 126. What is the remainder when 160 is divided by w? 34 Suppose 4*p - 7 - 13 = 0. Suppose -3*n + 12 = -0*n - b, 3*n = p*b. What is the remainder when 136/10 - (-4)/10 is divided by n? 4 Let q = -14 - 25. Suppose -26 = 5*b - 276. What is the remainder when b is divided by ((-169)/q)/((-2)/(-6))? 11 Suppose 3*l + 6 = 5*l. Let f be ((-152)/16)/((-1)/2). Let c = -14 + f. Calculate the remainder when c is divided by l. 2 Let h(u) = 4*u**2 - 149*u + 771. What is the remainder when 353 is divided by h(5)? 101 Let a(d) = -d**2 - 2*d + 8. Let v be a(-7). Let n = v - -32. What is the remainder when 7 is divided by n? 2 What is the remainder when ((-33)/(-3) + -1)*6477/255 is divided by 65? 59 Let b = 865 - 766. Calculate the remainder when b is divided by 20. 19 Let u(k) = -k**2 - 12*k - 11. Let r be u(-11). Suppose r = -9*p + 14*p - 30. What is the remainder when 16 is divided by p? 4 Let a(l) = 9*l - 7. Let h be a(8). Let o be -25*(0 + 1/(-1)). Let m = h - o. Calculate the remainder when m is divided by 21. 19 Suppose 141 = 6*g - 207. Calculate the remainder when g is divided by 33. 25 What is the remainder when 9 - 13 - (-170 + 1) is divided by 39? 9 Suppose 0*t - 5*t - 2*m = -62, t - 17 = -5*m. Let c be 19*-5 - (-10 - -10). Let p = -49 - c. What is the remainder when p is divided by t? 10 Suppose -785 = -4*s - 5*z, -4*s + 5*z + 797 = 6*z. What is the remainder when s is divided by 53? 41 Suppose -17*s = -167 - 105. What is the remainder when (-3)/(-1)*(-93)/(-9) is divided by s? 15 Suppose -q - 10 = -2*s + 3*q, -s + 19 = 5*q. Suppose -3*x = -5*z - 283, 7*x + 214 = s*x + 3*z. What is the remainder when x is divided by 52? 49 Suppose -3*g = g - 196. Let c(p) = 47*p - 91. What is the remainder when c(6) is divided by g? 44 Let p be (15 - 32) + 1*-1. What is the remainder when (-1371)/p + (28/24)/(-7) is divided by 20? 16 Let y(c) = 3*c**2 - 23*c - 84. What is the remainder when 863 is divided by y(12)? 71 Suppose 2*r = q + 1, 3*q = 2*r - 0 + 9. Suppose -g + 8 = 6. Suppose g*f + f = 6. What is the remainder when q is divided by f? 1 Calculate the remainder when 71 is divided by ((-234)/91)/((-4)/28). 17 Suppose 5*v - 5 = 5*h, -1 = -3*v + 4*h + 2. Let i(n) = 10*n**3 - 2*n + 2. Calculate the remainder when 97 is divided by i(v). 7 Suppose 4*s - q - q + 64 = 0, -4*q + 30 = -s. Let y = s - -31. Calculate the remainder when (-153)/(-5) + (-2)/(-5) is divided by y. 14 Let x be -1*6*1/(-2). Suppose 3*n - g = 2*g + 186, 0 = 5*n - g - 306. Suppose -x*v + 116 + n = 0. What is the remainder when v is divided by 15? 14 Suppose -5*o - 5 = 0, -q - o + 25 = -123. What is the remainder when q is divided by 38? 35 Let t(z) = 7*z. Let k be t(-1). Let b = k + 12. Let r = b - -40. What is the remainder when r is divided by 12? 9 Let b(l) be the second derivative of l**4/6 + 7*l**3/6 + 2*l**2 - 2*l. Let j be b(7). Let a = j - 98. What is the remainder when a is divided by 14? 11 Suppose 2*h - 21*h = -722. Calculate the remainder when 185 is divided by h. 33 Suppose -1675 = 163*s - 188*s. Calculate the remainder when s is divided by 66. 1 Suppose -5*d = 4*f - 257, 0*f - 4*d = 3*f - 192. What is the remainder when 881 is divided by f? 65 Let w = -8 - -14. Suppose 12 = 2*j - 2*c - 4, 28 = 5*j + c. What is the remainder when w is divided by j? 0 Suppose 37*k - 46*k = -108. Calculate the remainder when 65 is divided by k. 5 Let u be (6/2)/(-3)*-3. Calculate the remainder when 27 is divided by (u/(-4))/(4*3/(-96)). 3 Suppose 0 = 2*n - 4*n + 10. Suppose 3*l - 12 = -n*g, -l = -g + 4*g - 4. What is the remainder when 5 is divided by l? 1 Suppose 10*k = 8*k + 6. Let j be k/(2/12*3). Suppose 5 = l - q - j, -19 = -2*l + q. What is the remainder when 29 is divided by l? 5 Suppose 3*b - 238 = -5*n + 265, 2*n - 218 = 3*b. What is the remainder when n is divided by 49? 5 Suppose 4*w + 4*m = 912, -w - 4*w + 1150 = 3*m. Calculate the remainder when w is divided by 79. 75 What is the remainder when 879/4 - ((-357)/(-28) - 13) is divided by 57? 49 Let b = -48 - -74. Calculate the remainder when 181 is divided by b. 25 Suppose -4*p - 10 = 106. Let i = -23 - p. Let d = 54 - 33. Calculate the remainder when d is divided by i. 3 Let r(y) = y**2 - 4*y - 1. Let x be r(5). Suppose -n + 40 = 4*n - 5*b, -37 = -x*n + 5*b. Calculate the remainder when 14 is divided by n. 2 Let z(q) = q**2 + 5*q + 21. Let c be z(-10). Suppose -5*j + c = -s - 36, 0 = 2*j - 3*s - 35. Calculate the remainder when j is divided by 6. 4 Let q be (-450)/(-4) - 2/(-4). Let v = q - 32. What is the remainder when v is divided by 21? 18 Suppose 2*a = 10 - 6. Suppose -l + 4*i = -35, l + 5*i = -a*l + 71. What is the remainder when 52 is divided by l? 25 Let p = 28 - -34. Let i(j) = -j - 1. Let q be i(-4). Let f = q + 18. Calculate the remainder when p is divided by f. 20 What is the remainder when 477 is divided by 7 + -2 + 3/(-1) + 6? 5 Let a = 41 - 6. Let s(l) = 2*l**2 + 26*l - 41. What is the remainder when a is divided by s(-15)? 16 Suppose 5*a = -5*i + 3 + 2, 0 = -3*i - 2*a + 4. Suppose 0 = -2*j - 5*m - 9, -4*j + 3*m - 5 = -0*m. Calculate the remainder when (-12)/j - 6/2 is divided by i. 1 Let c(r) be the third derivative of r**4/3 + 21*r**3/2 - 6*r**2. Calculate the remainder when 22 is divided by c(-7). 1
{ "pile_set_name": "DM Mathematics" }
**2/5 + 14*c/5 = 0. Calculate c. -7/3, 0, 1 Factor -2*d**4 + 12*d**3 - 18*d**2. -2*d**2*(d - 3)**2 Factor 3*a**4 + 15*a**3 - 9*a**2 - 135*a - 162. 3*(a - 3)*(a + 2)*(a + 3)**2 Let 5*u**2 - 16775*u = 0. What is u? 0, 3355 Solve 2*n**5 + 2*n**4 - 46*n**3 + 78*n**2 - 36*n = 0. -6, 0, 1, 3 Find c, given that -18*c**4/7 - 554*c**3/7 - 1424*c**2/7 - 664*c/7 + 32 = 0. -28, -2, -1, 2/9 Suppose -2312*n**5 + 16864*n**4 - 23306*n**3 - 31202*n**2 + 10480*n - 800 = 0. Calculate n. -1, 5/34, 4 What is b in -4*b**4 - 1228*b**3 - 1216*b**2 + 2448*b = 0? -306, -2, 0, 1 Factor -c**4/2 - 12*c**3 - 108*c**2 - 432*c - 648. -(c + 6)**4/2 Factor 2*y**5/3 + 4*y**4/3. 2*y**4*(y + 2)/3 Find l such that 2*l**4/17 + 164*l**3/17 + 5040*l**2/17 + 68800*l/17 + 352000/17 = 0. -22, -20 What is m in 2*m**4 + 30*m**3 + 144*m**2 + 216*m = 0? -6, -3, 0 Find j such that 125*j**5 - 350*j**4 + 95*j**3 + 310*j**2 - 220*j + 40 = 0. -1, 2/5, 1, 2 Factor 5*j**4 - 90*j**2 + 405. 5*(j - 3)**2*(j + 3)**2 Suppose -2*r**4 - 14*r**3 - 12*r**2 + 64*r + 64 = 0. What is r? -4, -1, 2 Factor -w**4/7 - 1004*w**3/7 - 378006*w**2/7 - 63253004*w/7 - 3969126001/7. -(w + 251)**4/7 Suppose 16*l**2/7 + 12364*l/7 - 3092/7 = 0. Calculate l. -773, 1/4 Factor d**2/2 - 15*d/2 + 7. (d - 14)*(d - 1)/2 Factor 4*n**3 - 4*n**2 - 36*n + 36. 4*(n - 3)*(n - 1)*(n + 3) Find o such that 4*o**3/5 - 164*o**2/5 - 168*o/5 = 0. -1, 0, 42 Factor -4*v**2 + 2808*v - 492804. -4*(v - 351)**2 Suppose -i**4/2 - 13*i**3/2 - 57*i**2/2 - 95*i/2 - 25 = 0. Calculate i. -5, -2, -1 Determine w, given that 4*w**2/5 - 28*w = 0. 0, 35 Factor -2*q**4/9 + 152*q**3/9 - 1012*q**2/3 + 5624*q/9 - 2738/9. -2*(q - 37)**2*(q - 1)**2/9 What is v in -3*v**3 - 948*v**2 + 12*v + 3792 = 0? -316, -2, 2 Factor 6*s**4/5 + 108*s**3/5 - 234*s**2/5 + 24*s. 6*s*(s - 1)**2*(s + 20)/5 Factor 4*i**4/7 + 8*i**3/7 - 4*i**2/7 - 8*i/7. 4*i*(i - 1)*(i + 1)*(i + 2)/7 Suppose -20*q**5 - 155*q**4 + 240*q**3 + 110*q**2 - 220*q + 45 = 0. What is q? -9, -1, 1/4, 1 Factor 8*u**4 + 108*u**3 + 432*u**2 + 432*u. 4*u*(u + 6)**2*(2*u + 3) Factor 6*x**4 - 46*x**3 + 100*x**2 - 48*x. 2*x*(x - 4)*(x - 3)*(3*x - 2) Find r, given that 32*r**4/5 + 76*r**3/5 + 24*r**2/5 = 0. -2, -3/8, 0 Factor k**5/3 - 46*k**4/3 + 529*k**3/3. k**3*(k - 23)**2/3 Factor -4*x**4 + 2092*x**3 - 6252*x**2 + 6244*x - 2080. -4*(x - 520)*(x - 1)**3 Determine g so that -3*g**4 - 84*g**3 - 393*g**2 + 84*g + 396 = 0. -22, -6, -1, 1 Factor 4*a**2 - 40*a + 36. 4*(a - 9)*(a - 1) Let -3*w**2 - 369*w + 372 = 0. Calculate w. -124, 1 Find t such that -2*t**3 - 54*t**2 - 328*t - 456 = 0. -19, -6, -2 Determine l so that -5*l**5/7 - 32*l**4/7 + 23*l**3/7 + 194*l**2/7 - 108*l/7 - 72/7 = 0. -6, -3, -2/5, 1, 2 Factor 2*q**4/7 - 128*q**3/7 + 3036*q**2/7 - 31616*q/7 + 122018/7. 2*(q - 19)**2*(q - 13)**2/7 Determine z, given that 5*z**5 - 20*z**4 + 15*z**3 + 20*z**2 - 20*z = 0. -1, 0, 1, 2 Factor 3*w**3/2 - 273*w**2/2 - 429*w + 564. 3*(w - 94)*(w - 1)*(w + 4)/2 Suppose -3*h**2/4 - 9*h + 39/4 = 0. What is h? -13, 1 Find u such that 25*u**4 - 6280*u**3 + 391864*u**2 + 316512*u + 63504 = 0. -2/5, 126 Find j such that 160*j**2 + 785*j - 75 = 0. -5, 3/32 Let -12*l**4 + 4928*l**3 + 1656*l**2 - 4928*l - 1644 = 0. Calculate l. -1, -1/3, 1, 411 Factor -f**2 - 2286*f - 1306449. -(f + 1143)**2 What is m in -2*m**3/9 + 124*m**2/9 + 254*m/9 + 128/9 = 0? -1, 64 Suppose -2*z**4 + 8*z**3 + 6*z**2 - 28*z + 16 = 0. What is z? -2, 1, 4 Solve -2*z**3/11 - 84*z**2/11 - 882*z/11 = 0. -21, 0 Factor -2*z**4 - 2*z**3 + 14*z**2 + 26*z + 12. -2*(z - 3)*(z + 1)**2*(z + 2) Factor i**2 - 120*i - 121. (i - 121)*(i + 1) Factor -50*m**3 + 305*m**2 - 570*m + 315. -5*(m - 3)*(m - 1)*(10*m - 21) Factor 5*i**3 + 550*i**2 + 15660*i + 29160. 5*(i + 2)*(i + 54)**2 Factor 4*u**2 - 4*u. 4*u*(u - 1) Factor y**4/4 + 133*y**3/4 - 139*y**2/4 - 673*y/4 - 201/2. (y - 3)*(y + 1)**2*(y + 134)/4 Factor 10*u**2/7 + 1556*u/7 - 624/7. 2*(u + 156)*(5*u - 2)/7 Let 2*w**4 + 170*w**3/3 - 934*w**2/3 - 110*w = 0. Calculate w. -33, -1/3, 0, 5 Factor u**5 + 62*u**4 + 349*u**3 + 740*u**2 + 676*u + 224. (u + 1)**2*(u + 2)**2*(u + 56) Suppose -3*w**5 - 60*w**4 + 9*w**3 + 174*w**2 - 120*w = 0. What is w? -20, -2, 0, 1 Suppose -35*n**3/3 - 205*n**2/3 - 145*n/3 + 25/3 = 0. Calculate n. -5, -1, 1/7 Factor -3*u**2 - 504*u + 3132. -3*(u - 6)*(u + 174) Solve -21*k**3 - 216*k**2 - 396*k - 96 = 0. -8, -2, -2/7 Solve 3*f**3 - 33*f**2 - 156*f + 420 = 0. -5, 2, 14 Determine u so that 3*u**4/7 - 3*u**3 + 39*u**2/7 + 9*u/7 - 54/7 = 0. -1, 2, 3 Find s, given that 30*s**3 - 965*s**2 + 2770*s - 435 = 0. 1/6, 3, 29 Factor -303*w**3 - 309*w**2 - 6*w. -3*w*(w + 1)*(101*w + 2) Suppose 2*p**3/5 + 2*p**2/5 - 4*p/5 = 0. What is p? -2, 0, 1 Solve 5*a**5/4 + 55*a**4/4 + 85*a**3/4 - 55*a**2/4 - 45*a/2 = 0 for a. -9, -2, -1, 0, 1 Solve 5*c**4 + 55*c**3 + 180*c**2 + 80*c - 320 = 0. -4, 1 Determine k so that -16*k**5 - 2128*k**4 + 12*k**3 + 1600*k**2 + 532*k = 0. -133, -1/2, 0, 1 Factor r**4/4 - 9*r**3/4 - 25*r**2/4 + 33*r/4. r*(r - 11)*(r - 1)*(r + 3)/4 Solve 4*l**3 + 2116*l**2 + 4216*l = 0 for l. -527, -2, 0 Solve z**4/2 - 6*z**3 - 139*z**2/2 - 201*z - 180 = 0. -3, -2, 20 Suppose 3*s**3 + 15*s**2 - 18*s = 0. What is s? -6, 0, 1 Factor 2*i**3 - i**2. i**2*(2*i - 1) Suppose l**5 - 12*l**4 - 162*l**3 + 1508*l**2 + 5577*l = 0. What is l? -11, -3, 0, 13 Factor -2*m**2/5 + 12*m/5 + 14/5. -2*(m - 7)*(m + 1)/5 Factor 2*u**5 + 30*u**4 + 96*u**3 + 88*u**2. 2*u**2*(u + 2)**2*(u + 11) Factor -490*k**4 + 84*k**3 + 72*k**2 - 16*k. -2*k*(5*k + 2)*(7*k - 2)**2 Factor -5*w**2 - 25*w. -5*w*(w + 5) Factor 2*l**4 - 110*l**3 + 1456*l**2 + 1568*l. 2*l*(l - 28)**2*(l + 1) Factor 4*o**4 + 12*o**3 - 120*o**2 - 496*o - 480. 4*(o - 6)*(o + 2)**2*(o + 5) Factor -k**3/11 + 1054*k**2/11 - 275609*k/11 - 1119364/11. -(k - 529)**2*(k + 4)/11 Let 2*l**5/3 + 23*l**4 + 226*l**3/3 + 284*l**2/3 + 52*l + 31/3 = 0. Calculate l. -31, -1, -1/2 Find p such that -3*p**5 + 87*p**4 - 801*p**3 + 2349*p**2 - 648*p - 3888 = 0. -1, 3, 12 Factor -51*s**4/2 + 307*s**3/2 - 465*s**2/2 + 9*s/2. -s*(s - 3)**2*(51*s - 1)/2 Suppose 4*i**2/3 - 124*i/3 - 136 = 0. Calculate i. -3, 34 Solve -5*g**3 - 15*g**2 + 5*g + 15 = 0. -3, -1, 1 Factor -5*p**3 - 480*p**2 + 980*p. -5*p*(p - 2)*(p + 98) Factor -2*n**4 - 22*n**3 - 84*n**2 - 128*n - 64. -2*(n + 1)*(n + 2)*(n + 4)**2 Factor 55*h**2 + 270*h - 25. 5*(h + 5)*(11*h - 1) Factor 2*u**2 - 118*u - 120. 2*(u - 60)*(u + 1) Factor 2*v**4 - 150*v**3 + 292*v**2. 2*v**2*(v - 73)*(v - 2) Factor 5*h**4 - 220*h**3 + 825*h**2 - 1010*h + 400. 5*(h - 40)*(h - 2)*(h - 1)**2 Suppose 3*h**3/4 + 21*h**2/4 + 33*h/4 + 15/4 = 0. Calculate h. -5, -1 Factor 2*b**4/5 - 2*b**3 - 12*b**2/5. 2*b**2*(b - 6)*(b + 1)/5 Factor -2*k**3 - 2238*k**2 - 834774*k - 103790234. -2*(k + 373)**3 Determine o so that -o**5 - 28*o**4 - 52*o**3 + 2*o**2 + 53*o + 26 = 0. -26, -1, 1 Find y such that -2*y**4/5 + 6*y**3/5 + 226*y**2/5 + 426*y/5 + 208/5 = 0. -8, -1, 13 Factor -2*x**2/13 - 16024*x/13 - 32096072/13. -2*(x + 4006)**2/13 Suppose 2*z**2/11 - 2*z - 120/11 = 0. Calculate z. -4, 15 Suppose -2*d**5/11 + 14*d**4/11 + 56*d**3/11 + 40*d**2/11 = 0. Calculate d. -2, -1, 0, 10 Solve 5*c**4 - 430*c**3 + 1660*c**2 - 1640*c = 0. 0, 2, 82 Let 822*j**2/5 + 1647*j/5 + 6/5 = 0. What is j? -2, -1/274 Determine z so that -z**3/4 - 539*z**2/4 - 3203*z/4 - 2665/4 = 0. -533, -5, -1 Solve -4*s**2 - 52*s - 88 = 0 for s. -11, -2 Factor 16*n**4 + 44*n**3 - 652*n**2 + 160*n. 4*n*(n - 5)*(n + 8)*(4*n - 1) Let -3*r**3/4 - 2124*r**2 - 2005056*r - 630924288 = 0. Calculate r. -944 Solve -4*l**5 - 56*l**4 - 268*l**3 - 584*l**2 - 592*l - 224 = 0. -7, -2, -1 Factor 3*g**3/4 - 873*g**2/4 - 1755*g/4 - 879/4. 3*(g - 293)*(g + 1)**2/4 Factor -z**4/2 + 45*z**3/2 - 82*z**2. -z**2*(z - 41)*(z - 4)/2 Let 4*t**3/7 + 8*t**2/7 - 20*t/7 - 24/7 = 0. Calculate t. -3, -1, 2 Find g such that 9*g**3 + 15*g**2 - 48*g - 36 = 0. -3, -2/3, 2 Let 5*x**3 + 1060*x**2 + 13925*x + 12870 = 0. What is x? -198, -13, -1 Factor 3*p**5 + 294*p**4 + 2232*p**3 + 6576*p**2 + 8688*p + 4320. 3*(p + 2)**4*(p + 90) Factor 4*y**4/5 - 4*y**2/5. 4*y**2*(y - 1)*(y + 1)/5 Let -9*h**3 + 3*h**2 + 24*h + 12 = 0. Calculate h. -1, -2/3, 2 Factor -5*y**4 - 1165*y**3 - 17680*y**2 - 69440*y. -5*y*(y + 8)**2*(y + 217) Determine h, given that -2*h**2/9 - 4*h -
{ "pile_set_name": "DM Mathematics" }
the prime factors of s(8)? 53 Let r be -1 + 2 - (-1 + 0). Suppose 5*j + 25 = r*n + n, 0 = n - j - 7. Suppose -u = -n*u + 192. What are the prime factors of u? 2, 3 Suppose 0 = 4*v + g - 1873 + 204, -2*g + 836 = 2*v. What are the prime factors of v? 3, 139 Let y be (-34)/2*(-35)/(-5). Let o = y - -297. List the prime factors of o. 2, 89 Suppose 2*n = f - 313, -41*f + 45*f = 5*n + 1237. List the prime factors of f. 3, 101 Suppose 9353 = 12*y + 509. List the prime factors of y. 11, 67 Suppose g - 59 = 4*g - 4*m, 2*m + 8 = 0. Let x = g + 26. Let u(s) = 20*s**2 - 1. List the prime factors of u(x). 19 Suppose -10492 = -3*q + 7*r - 5*r, 6993 = 2*q - r. List the prime factors of q. 2, 1747 Suppose -4*u + 18 = -2. Suppose -5*x - 2*a = -36, -u*x - 6*a = -a - 30. What are the prime factors of x? 2 Suppose 2*v - 24 = -0*v. Let r = 79 - v. What are the prime factors of r? 67 Suppose 1687 = 4*b + 5*u, 3*b + 2*u = -0*b + 1267. List the prime factors of b. 3, 47 Let d be (-671)/(-44) - 2/8. Let c = d - -6. What are the prime factors of 279/7 - (-3)/c? 2, 5 What are the prime factors of (-2)/3 + 14292/54? 2, 3, 11 Suppose -24 = 5*i + i. Let o(c) = -27*c - 15. What are the prime factors of o(i)? 3, 31 Suppose -3 = -5*d - 23. Let l(n) = -n**2 - n**2 - 1 - n**3 - 3*n**2 - 6*n. List the prime factors of l(d). 7 Let s(c) = -c**3 + 9*c**2 - 6*c - 10. Let q be s(8). Let a(l) = -l + 0*l + q*l + 0*l. List the prime factors of a(6). 2, 3, 5 Let k be ((-1)/(-4) - 1)*-144. Suppose 0 = 4*y - k + 28. What are the prime factors of y? 2, 5 Suppose 0 = -6*b + 400 + 8786. List the prime factors of b. 1531 Suppose -43 = -11*a + 122. Let h(n) = -n**3 + 15*n**2 + 10*n + 14. List the prime factors of h(a). 2, 41 Let r = -848 + 1207. What are the prime factors of r? 359 Let f(p) = 17*p - 4. Let c be f(10). Let o = 298 - c. Suppose -k - o = -5*k. What are the prime factors of k? 3, 11 List the prime factors of (-7574)/(-4) + 2 - 2/4. 5, 379 Let j = -528 - -1050. List the prime factors of j. 2, 3, 29 Let b(s) = -s**3 + 6*s**2 - 8*s + 3. Let w be b(4). Suppose j + 3*u - 467 = -j, 0 = -w*j - u + 704. List the prime factors of j. 5, 47 Let t(m) = -m - 6. Let s be t(-3). What are the prime factors of ((-2)/4)/(s/186)? 31 Suppose 27 = 3*u - 396. Suppose 2*c - 3*c + u = 0. Suppose 31 = 4*g + 4*m - 109, 0 = -4*g - 5*m + c. What are the prime factors of g? 2, 17 Suppose -2*c = 3*c. Suppose c = 13*v - 14*v + 27. What are the prime factors of v? 3 Let h = -666 - -1248. Suppose 0 = 2*g + 3*a - h + 180, -814 = -4*g - a. What are the prime factors of g? 2, 3, 17 Suppose 131 = -2*n + 49. Let p = n + 97. What are the prime factors of p? 2, 7 Suppose 3*a - 7 = 14. Let k(c) = 2*c**3 - 13*c**2 + 4*c + 5. List the prime factors of k(a). 2, 41 Let i = 231 - 391. Let f = i - -270. List the prime factors of f. 2, 5, 11 Suppose 8*b - 17925 = 14955. List the prime factors of b. 2, 3, 5, 137 What are the prime factors of 1 + (-11 + 12 - -3447)? 3449 Suppose 11*t - 3464 - 5226 = 0. List the prime factors of t. 2, 5, 79 Suppose 2*d - 4*g = 452, 886 = 4*d - 10*g + 11*g. List the prime factors of d. 2, 3, 37 Suppose 22551 = 8*b - 681. What are the prime factors of b? 2, 3, 11 Let w = 27 - 33. Let y(x) = -13*x - 11. What are the prime factors of y(w)? 67 Suppose 8*q - 11*q = 3*t - 1632, 4*t + q - 2188 = 0. List the prime factors of t. 2, 137 Suppose -12 = -2*b + 2*h + 2*h, -16 = -4*b + 4*h. Let a be 1 - b - 9/(-1). Suppose -2*f - 2 + a = 0. What are the prime factors of f? 3 Suppose -3*w + 28 = 4*w. Suppose 5*r - 877 = -2*z, -2*r + 305 + 65 = -w*z. List the prime factors of r. 3, 59 Suppose -5*p + 2*p + 45 = -4*x, 0 = 3*p + 3*x - 24. Let y(s) = s**3 - 11*s**2 + 3*s + 11. What are the prime factors of y(p)? 2, 11 Suppose 0*b + 22 = b. Suppose 0*f = 17*f - 238. Let k = b + f. List the prime factors of k. 2, 3 Suppose 4*q - 13693 = 6779. What are the prime factors of q? 2, 3, 853 Let j(n) be the second derivative of 5*n**4/3 + n**3/3 + n**2 + 2*n. Suppose 25*k + 19 + 6 = 0. What are the prime factors of j(k)? 2, 5 Suppose i - d - 5 = 0, -5*i - 5*d - 1 = 24. Suppose -3*o - 4*b + 362 = i, b - 15 = -2*b. List the prime factors of o. 2, 3, 19 Let t(n) = -n**3 + n**2. Let v(m) = 4*m**3 - 10*m**2 + 2*m. Let d(s) = -5*t(s) - v(s). What are the prime factors of d(2)? 2, 3 Let t = -2538 + 2855. List the prime factors of t. 317 What are the prime factors of (2 - 0) + (3818 - 38)? 2, 31, 61 Let w(a) = -2*a**3 + 58*a**2 - 43*a + 44. What are the prime factors of w(28)? 2, 3, 17 Suppose -4*g + 108 - 28 = 0. Suppose -2*b + g = 2. Suppose 2*s - 3*w - 146 - b = 0, -4*s + 306 = -2*w. What are the prime factors of s? 2, 19 Suppose -8 = 2*a + 14. What are the prime factors of (-2)/a - (-5)/((-55)/(-1307))? 7, 17 List the prime factors of (5/((-40)/1244))/(4/(-8)). 311 Let h(f) = f**2 - 5*f + 1. Let j = -13 - -18. Let t be h(j). What are the prime factors of t - (-16)/(-1 - -3)? 3 Suppose 3*n = -2*o + 3928, -843 = 3*n + 5*o - 4759. What are the prime factors of n? 2, 41 Suppose -4*c + 2601 = -5*g - 6128, 2*c - 3*g - 4363 = 0. What are the prime factors of c? 2, 1093 Let v(a) = a**3 + 9*a**2 - a - 10. Let q = -15 - -6. Let s be v(q). What are the prime factors of (-132)/(-3 - s) - -2? 2, 17 Let h(x) = x**3 + x**2 + x + 1. Let g be h(0). List the prime factors of 0 - -191 - 4/(1 + g). 3, 7 Let w = 224 + 724. List the prime factors of w. 2, 3, 79 List the prime factors of 12/54 + (-3950)/(-45). 2, 11 Let c = -1029 + 1446. What are the prime factors of c? 3, 139 Let c = -6 - -3400. What are the prime factors of c? 2, 1697 What are the prime factors of 17673/18 + (-90)/108? 3, 109 Let m be ((-20)/(-16) + 0)/((-1)/(-4)). Suppose 286 = 2*d + m*y - 3*y, -294 = -2*d - 4*y. What are the prime factors of d? 139 Let k(d) = 3*d + 12. Let b be k(-3). Suppose -7*u = -b*u - 72. List the prime factors of u. 2, 3 Suppose -2*g - 15 = 2*t - 7*t, -4*t + 12 = 0. Suppose -5*r + 668 + 7 = g. What are the prime factors of r? 3, 5 Let y be 100*6/(-72)*-9. Suppose 5*v = 10*v - y. List the prime factors of v. 3, 5 Suppose 0 = 4*a, 4*d + 3*a - 56 = 2*d. Suppose 5*g = 4*f - 56, 2*g = -2*f + 5*g + d. What are the prime factors of f? 2, 7 Let i(l) = 6*l**2 + 2*l - 8. Let q be i(-5). Suppose q = 3*w + w. Let g = w + -7. What are the prime factors of g? 2, 13 Let p be (12/10)/(30/100). What are the prime factors of 2/p - (-95)/2? 2, 3 Suppose -2*r - 8 = 3*n, 12 = -4*n - 5*r - 8. Let w be 1 - (-3 - -2 - 2). Suppose n = -m + w + 5. What are the prime factors of m? 3 List the prime factors of ((-120)/300)/((4/(-4570))/2). 2, 457 Let b = 43 + 699. List the prime factors of b. 2, 7, 53 Let c(w) = w**2 - 13*w + 13. Let h(m) = -6 + 14*m**2 + 6. Let u be h(-1). List the prime factors of c(u). 3 Let x = -144 - -144. What are the prime factors of (-5 - x)/((-16)/944)? 5, 59 What are the prime factors of (986 - 18)*4/8? 2, 11 Let u = 185 + -86. What are the prime factors of u? 3, 11 Suppose 114*j - 113*j - 400 = 0. List the prime factors of j. 2, 5 Let f = 12 + -8. Suppose -f*r - r - 35 = 0. Let l = 3 - r. List the prime factors of l. 2, 5 Let b(h) = -h**2 - 10*h - 9. Let d = -17 - -21. Suppose -6*q = -q - i + 29, 2*q - d*i + 8 = 0. List the prime factors of b(q). 3, 5 Let a(g) = 5*g**2 + 29*g - 22. What are the prime factors of a(-15)? 2, 167 Suppose 5*j + 9 = 2*j, j = 3*s + 177. Let m be (s/35)/(2/(-35)). List the prime factors of 3 + 1/(1/m). 3, 11 Let z(p) = -70*p - 66. What are the prime factors of z(-5)? 2, 71 List the prime factors of ((-21)/14 - -1)/1*-5024. 2, 157 Let v(i) = 3*i**2 + 12*i + 7. Let j be v(-5). Suppose j = 3*a - 26. What are the prime factors of a? 2 Let t = -114 - -115. List the prime factors of t + (56 - ((-24)/(-4))/3). 5, 11 Let l(v) = v**2 + 7*v + 14. Let r be l(-11). Suppose -19 = -h + r. List the prime factors of h. 7, 11 Let a(r) = -2*r**2 - 17*r - 2. What are the prime factors of a(-3)? 31 What are the prime factors of (-26*(-164)/(-10))/(6/(-15))? 2, 13, 41 Suppose -7*d - 13*d = 1620. Let y be (-58)/4*(-2 + 6). Let r = y - d. List the prime factors of r. 23 Suppose 2*p - 1631 = -5*y, -y + 823 = -p + 2*p. List the prime factors of p. 2, 3, 23 Let k be (1 + 2)*(8 - 13). Let r(c) = c**2 + 13*c - 11. Let o be r(k). Suppose -21 = -v + 3*q, o = 2*
{ "pile_set_name": "DM Mathematics" }
8 = -64*c. Is (-6)/4 + ((-1542515)/10)/c prime? True Let g = 61206 + -16667. Is g a prime number? False Suppose 0 = 3*d + 4*a - 34, 2*d - 6*a + 3*a = 0. Suppose -4*v - v + 3*y - 15 = 0, 4*y = -2*v - d. Is v + (-1 - -322 - 1) a composite number? False Suppose 6*h + 3*w - 63881 = 5*h, -5*h - 2*w + 319392 = 0. Is h/20 + 3/30 a composite number? True Suppose 21*g + 3178542 = 5*i + 22*g, -5*g - 1907086 = -3*i. Is i a prime number? True Let p be 473*-46 + 0/(-13). Let i = p - -48211. Is i a prime number? False Suppose -51405 = -2*t + 82547. Suppose -6*v + 3*v = -2*b - t, 0 = -4*b + 5*v - 133952. Is (-2)/6 + b/(-42) a prime number? True Suppose -2*v + 4782 = 2*h + 3*v, 2*h - v = 4782. Suppose -6*z + 279 = -h. Is z a composite number? True Let b = 2477 + 15752. Is b a composite number? False Suppose -156*b + 5601696 = 819684 - 11399712. Is b a composite number? True Suppose -5*z + 38971 = -3*i, 8*z - 5*z - 23383 = 2*i. Is z composite? False Let p = -3360 - -1482. Let f = -372 - p. Suppose -3*s - f = -4749. Is s a prime number? False Suppose -28 = w - 5*z - 7, 4*z - 14 = -2*w. Let c be (w + -2)/(6 + 75/(-10)). Is c + 2 + -1 - -76 prime? True Let s(r) = 282*r**2 - 12*r - 139. Is s(-20) a composite number? False Is 68049108/140 + (-3)/15 + (-3)/(-21) a composite number? True Let q(b) = 63*b**2 + 78*b - 9. Let y be q(-14). Suppose -5*f - 2*v + 35717 = 0, -5*f + 24464 + y = -4*v. Is f prime? False Let z = -131222 - -207691. Is z a composite number? True Suppose -5 = 5*k + 2*i, -4*i = 3*k - k + 2. Is (k - -4)*(14052/9 + -7) composite? False Let q be (-1576)/(-4)*(-24)/(-16). Let r = 7 + -5. Suppose -2*k = -k - r, 2*k + q = 5*c. Is c composite? True Let z be 63/(-28)*(-203024)/12. Suppose 112*u - z = 109*u. Is u composite? False Let z(h) = 4506*h**2 - 98*h + 1153. Is z(12) a composite number? False Let x be (-2)/8 - 25/(-4). Suppose 5803 = x*q - 2195. Is q composite? True Suppose 752 - 2557 = -2*u - 3*g, -1829 = -2*u + 5*g. Suppose -3389 = -2*q - u. Is q a composite number? True Let b = -11 + -57. Let t = -66 - b. Suppose 2*l - l = -5*r + 17702, -t*l = 4*r - 14158. Is r a composite number? False Suppose 107*w - 82*w - 5375275 = 0. Is w prime? False Let f = 118 - 129. Let n(v) = -66*v - 229. Is n(f) a composite number? True Let z = -257 + 261. Suppose -5787 = -3*d - z*j, j + 6572 = 5*d - 3073. Is d prime? False Let k = 21339 + -10852. Is k a prime number? True Let y(v) = v - 10 + 5*v + 0 + 362*v**2 - v. Is y(3) a composite number? True Suppose 4*q + 143280 = 26*h - 21*h, -5*q = -25. Suppose -3*o - 28700 = -5*n, 4*o + h = 5*n + 9*o. Is n prime? True Let m = 1950236 - 763155. Is m a prime number? False Let m be -1*514*(-23)/46. Suppose -c + 2*b + 0 - 2 = 0, 0 = 5*b - 15. Suppose -l = h - m, -3*h + 504 = -h + c*l. Is h a composite number? True Suppose 2*y - 4*w = 626434, -2*w + 393072 = 4*y - 859746. Is y a prime number? True Suppose -5*q - y = 562, -4*q = -6*y + y + 467. Let n = 245 + q. Let u = 71 + n. Is u a prime number? False Is ((-1219)/69 + 14)/(1/(-33279)) a prime number? False Let w(p) = p**3 - 4*p**2 - 8*p + 4. Let d be w(4). Let t = 40 + d. Is (-1)/(-3) + 12032/t a prime number? False Let t = 778907 + -235864. Is t a composite number? True Let a = 48 + -45. Suppose -a*p + 2*j = 2*p - 2821, -3*p + 1692 = -j. Suppose -2*c + 4*i - 3*i + 227 = 0, 5*c = -2*i + p. Is c a prime number? True Let p be 3/(-15) + (-1 - (-542)/10). Suppose -27*d + 28*d - p = 0. Suppose -2*f = -39 - d. Is f a prime number? False Suppose 0 = -1499*d + 1486*d + 2693509. Is d a composite number? True Let n(m) = 1947*m - 110. Let x be n(7). Is -2 + (-8)/(-3) + x/3 a prime number? True Let o = -39427 + 57726. Is o composite? True Suppose -8*l + 4*o = 8*o - 56, l + 2*o = 19. Let v = -3 + 7. Suppose v*w = l*r - 1507, 2*r - 2*w = r + 505. Is r a composite number? True Is ((-2)/3)/(-38 + (-31002752)/(-815862)) a composite number? False Suppose -3*c + 16 = 5*c. Suppose 4806 = -c*b + 5*b. Suppose k - b = 1847. Is k a composite number? False Let h be 2/(-17) + 208592/(-272). Let v = h + 4066. Is v prime? True Let b(q) = 1956*q + 8045. Is b(176) prime? True Let o(g) = g**3 - 4*g**2 - 7*g - 9. Let u be o(7). Let w = u - 91. Is (-439 + -4)*4/8*w a prime number? True Suppose 0 = 8*c - 0*c - 16. Suppose 4*n + c*t - 138 = 342, -n = 3*t - 120. Let z = n - 97. Is z composite? False Let h(l) = 533*l**2 - 235*l + 285. Is h(22) a prime number? False Suppose w + 3*m = 186, 3*m = 8*w - 10*w + 363. Suppose 2*p = 4*z + 4*p - 636, 0 = -z - 5*p + w. Is z prime? True Suppose 2 = 2*h, 0 = 4*y + h - 4*h - 9. Let v(w) = 2 - w**3 + 6*w**3 - 4*w + 5 + 2*w**2 - w. Is v(y) a prime number? False Let m = 46 - 44. Suppose 0 = n + 5*s - 569, -4*s + m*s + 584 = n. Let o = n - 263. Is o a prime number? True Suppose -81*q - 2252453 = -3*q - 13195619. Is q a composite number? False Let s(m) = m**2 + 6*m + 17. Let r be s(-5). Suppose -45579 = -r*p + 17145. Is p a prime number? True Let i = 712796 - -930953. Is i a prime number? False Suppose 0 = -d + o - 0*o + 105091, -5*o = 12*d - 1261194. Is d composite? False Let z(c) = 780*c + 107. Let l be ((-20)/(-25))/(((-20)/(-125))/2). Is z(l) prime? True Let c(m) = 15*m**2 - 46*m - 60. Let g(q) = -10*q**2 + 31*q + 40. Let h(v) = 5*c(v) + 7*g(v). Let o = -26 + 17. Is h(o) composite? True Let f(h) = -h**3 + 36*h**2 + 43*h + 31. Let q be f(26). Let o = -5391 + q. Is o composite? True Suppose 4*x - 472 = -4*s, 5*s + 53 = x - 71. Suppose n - 3*p - x = 863, 4*n + 2*p - 3914 = 0. Is n a prime number? False Suppose 8*y - 11*y = 10*u - 12938195, 10 = -2*y. Is u prime? True Let s(o) = 5675*o**2 + 1166*o + 5864. Is s(-5) prime? False Is 736472/88*(3 - 2) prime? True Is ((91/(-70))/(-13))/(2/26279740) a composite number? False Suppose 4*l - 65757 = c, 2*l - 3*c = 4725 + 28156. Is l a prime number? False Let x(c) be the first derivative of c**3/3 - 11*c**2/2 - 32*c - 11. Let a be x(13). Is 3*4/a*6834/(-12) a composite number? True Let m be (-14)/147*-7*3678. Let a = 7841 - m. Is a composite? True Suppose -8*v = 13*v - 63. Let d(w) = 1314*w**2 + 7*w + 10. Is d(v) a composite number? True Suppose -26421 = 51*p - 52*p + 3*w, p + 5*w = 26389. Is p a prime number? False Suppose -5 = t + 18. Let c(o) = 2*o**3 + 46*o**2 + 24*o + 15. Let g be c(t). Let w = 988 + g. Is w composite? True Let u be (-3)/(-2) + 1*(-45)/18. Is u + (-8)/(-6) + (-142164)/(-54) prime? True Let q(w) = 7*w**2 - 18*w - 32. Let h be (-113)/(-3) - (2 - (-32)/(-24)). Is q(h) a prime number? False Suppose -10*a + 275 + 705 = 0. Let x = 91 - a. Is 2*(-3)/21 - 22668/x prime? False Let n = -420938 - -819895. Is n composite? True Let l(j) = -42*j + j**3 + 7*j**2 + 13*j**2 - 5*j**2 - 15 + 6*j. Let t be l(-17). Suppose -t*c + 10165 = -14*c. Is c composite? True Suppose -5*s - 3*a = 2*a + 11800, -5*s + 3*a = 11816. Suppose -4*z + 61 + 94 = -3*c, -150 = 3*c - 3*z. Let g = c - s. Is g composite? True Let w(m) = 844*m - 3761. Is w(24) composite? True Is ((-60594)/45 - -1)*-51 + (-124)/(-155) composite? True Let s be 11*(0 - (1 + -2)). Let q(h) = -h**3 + 12*h**2 - 12*h + 11. Let p be q(s). Suppose -4*y + 3*f + 1264 = -295, 4*y + 2*f - 1534 = p. Is y a prime number? False Suppose -32*j + 3578193 = -1645775. Is j composite? False Let t(b) = -b**3 - 28*b**2 - 22*b + 138. Let j be t(-27). Suppose 31761 = x - u, 0 = 11*x - 7*x - j*u - 127046. Is x a composite number? True Let h(r) = r**2 - 21*r - 35. Let x be (-1 - -10)*(-7)/(-42)*-10. Is h(x) a prime number? False Is 5/3*(-3 + 6456996/35) prime? True Suppose 3088714 = 4*y + c, -1544336 = -2*y - 12*c + 15*c. Is y prime? False Let m = 104 - 101. Suppose 5*r - 5*k - 10 = -0*r, -r + m*k - 6 = 0. Is 685 + r/(-9)*3 + 6 a prime number? False Let j be ((-16)/3 - -2)*(-34 + 22). Suppose -45*b = -j*b - 17285. Is b a composite number? False Suppose 23*h - 679005 = 258176. Is h a composite number? True Let p(s) = -s - 2. Let d be p(-5). Suppose 1035 = -2*k + d*k - 4*w, -w - 2056 = -2*k. Is k a composite number? True Let p(y) = -y**2 + 4*y + 22. Let j be p(7). Is (j - 27/33) + (-8994)/(-22) a composite number? False Let p(f) = f**3 + 5*f**2 - f + 11. Let v be p(-5). Suppose 3*y = a - 0*a - v, -4*a = 4*y. Is 302 - a/(-3)*-3 composite? True Let i(r) be the third derivative of r**6/120 + r**5/60 + r**4/6 + 4379
{ "pile_set_name": "DM Mathematics" }
2, e: 2}? 1/220 Four letters picked without replacement from vvvgvgvvvvv. What is prob of sequence vvgv? 7/55 What is prob of sequence lllr when four letters picked without replacement from vvvprluvlvruppprvlrl? 4/4845 What is prob of sequence tv when two letters picked without replacement from {t: 1, z: 2, u: 2, k: 1, v: 6}? 1/22 Three letters picked without replacement from zoozzzdddd. Give prob of sequence ozo. 1/90 Three letters picked without replacement from vvevvvveevvvvveveve. Give prob of sequence vev. 52/323 Three letters picked without replacement from ececccjejcjhccbcjc. Give prob of sequence bhj. 1/1224 Calculate prob of sequence hr when two letters picked without replacement from {r: 4, s: 7, n: 1, q: 2, h: 3}. 3/68 Three letters picked without replacement from bsppb. Give prob of sequence bps. 1/15 What is prob of sequence nnz when three letters picked without replacement from {n: 3, l: 3, g: 1, a: 3, o: 1, z: 2}? 1/143 Four letters picked without replacement from {b: 4, y: 10, u: 2, a: 2, f: 1}. What is prob of sequence fbfa? 0 What is prob of sequence xa when two letters picked without replacement from {s: 1, w: 2, n: 1, a: 2, j: 1, x: 2}? 1/18 What is prob of sequence fs when two letters picked without replacement from wutfuwtwwewtuwfsuss? 1/57 Calculate prob of sequence cmlj when four letters picked without replacement from jcwcmajmlmj. 1/440 Three letters picked without replacement from {h: 1, a: 7}. Give prob of sequence aah. 1/8 Calculate prob of sequence wwe when three letters picked without replacement from {w: 3, s: 3, g: 3, e: 11}. 11/1140 Calculate prob of sequence hzuz when four letters picked without replacement from {h: 1, z: 12, u: 6}. 11/1292 Two letters picked without replacement from ttsccsttstca. What is prob of sequence ta? 5/132 Three letters picked without replacement from {u: 3, b: 9, z: 1, o: 1}. Give prob of sequence ouu. 1/364 What is prob of sequence bx when two letters picked without replacement from {x: 12, b: 1}? 1/13 Three letters picked without replacement from {i: 5, y: 3}. What is prob of sequence iiy? 5/28 Two letters picked without replacement from {a: 2, o: 1, s: 3, k: 1, t: 5}. Give prob of sequence ak. 1/66 Calculate prob of sequence zdzd when four letters picked without replacement from {h: 7, d: 7, z: 2}. 1/520 Calculate prob of sequence spx when three letters picked without replacement from psswqppwxp. 1/90 Four letters picked without replacement from azauy. What is prob of sequence zyzu? 0 Calculate prob of sequence ff when two letters picked without replacement from ffffjfffjfffffjfff. 35/51 Three letters picked without replacement from svvsvxqxmsqxdvmm. Give prob of sequence xvm. 3/280 What is prob of sequence uu when two letters picked without replacement from {u: 2, e: 3, p: 4, b: 5, j: 5, v: 1}? 1/190 Two letters picked without replacement from {i: 6, s: 6}. Give prob of sequence is. 3/11 What is prob of sequence oo when two letters picked without replacement from {m: 1, o: 2, d: 2, f: 2, j: 1}? 1/28 What is prob of sequence zy when two letters picked without replacement from pzalady? 1/42 Four letters picked without replacement from aabbabaa. Give prob of sequence abab. 1/14 Four letters picked without replacement from afxixvw. Give prob of sequence afxw. 1/420 Calculate prob of sequence wj when two letters picked without replacement from {w: 2, j: 1, a: 1, t: 1}. 1/10 What is prob of sequence xxx when three letters picked without replacement from {x: 3, v: 1}? 1/4 Three letters picked without replacement from kfkk. What is prob of sequence kfk? 1/4 Two letters picked without replacement from htattehtthae. What is prob of sequence at? 5/66 Calculate prob of sequence mf when two letters picked without replacement from {f: 1, m: 3, i: 3}. 1/14 Three letters picked without replacement from {b: 7, d: 3}. What is prob of sequence bdd? 7/120 Two letters picked without replacement from {r: 4, b: 1, e: 2}. Give prob of sequence rb. 2/21 Calculate prob of sequence ess when three letters picked without replacement from {r: 4, e: 1, q: 8, s: 5}. 5/1224 What is prob of sequence qtqq when four letters picked without replacement from entnqnqntqq? 1/165 What is prob of sequence pppp when four letters picked without replacement from {p: 9, o: 9}? 7/170 Two letters picked without replacement from sssssssssses. What is prob of sequence se? 1/12 Calculate prob of sequence mudb when four letters picked without replacement from {b: 3, r: 1, m: 1, d: 8, i: 3, u: 2}. 1/1530 Two letters picked without replacement from ccccacca. Give prob of sequence aa. 1/28 Calculate prob of sequence pp when two letters picked without replacement from {p: 7}. 1 What is prob of sequence jcnn when four letters picked without replacement from {p: 1, n: 10, c: 2, s: 1, j: 3}? 9/952 Four letters picked without replacement from sxsassxxxsx. What is prob of sequence axxs? 5/396 Four letters picked without replacement from elljeelleljlljjj. Give prob of sequence lllj. 5/208 Two letters picked without replacement from {x: 12, f: 6}. Give prob of sequence xf. 4/17 Calculate prob of sequence icq when three letters picked without replacement from ijiiijjjjjqjqjqjjc. 1/408 What is prob of sequence yeey when four letters picked without replacement from yyeyyeyeyyyeyy? 45/1001 Two letters picked without replacement from lclclllnlclcn. Give prob of sequence cn. 2/39 Calculate prob of sequence cgi when three letters picked without replacement from nnicggt. 1/105 Calculate prob of sequence hgh when three letters picked without replacement from ghhgghgggggggggggg. 5/272 Three letters picked without replacement from dplhzdhzk. Give prob of sequence zkl. 1/252 Three letters picked without replacement from {n: 1, k: 2, g: 3, d: 1, i: 1, x: 5}. Give prob of sequence kgx. 5/286 What is prob of sequence pp when two letters picked without replacement from ppppp? 1 Calculate prob of sequence jllj when four letters picked without replacement from jljjjljljl. 1/14 Calculate prob of sequence hm when two letters picked without replacement from {s: 1, j: 1, r: 1, m: 4, h: 1}. 1/14 Two letters picked without replacement from {z: 19, m: 1}. Give prob of sequence zm. 1/20 Two letters picked without replacement from iiiiiii. Give prob of sequence ii. 1 Calculate prob of sequence kyp when three letters picked without replacement from {y: 4, k: 3, p: 1, x: 1, r: 4}. 1/143 Calculate prob of sequence ek when two letters picked without replacement from {e: 4, s: 1, k: 2}. 4/21 What is prob of sequence ffef when four letters picked without replacement from ffffffffffffffffef? 1/18 What is prob of sequence ghn when three letters picked without replacement from hggftftffftttnftff? 1/2448 Calculate prob of sequence bcdp when four letters picked without replacement from pbbnpcdcpp. 1/315 What is prob of sequence yn when two letters picked without replacement from nyvyhhyyheyyn? 1/13 What is prob of sequence ud when two letters picked without replacement from {u: 4, n: 3, d: 1}? 1/14 Calculate prob of sequence ugq when three letters picked without replacement from {w: 2, g: 2, u: 2, q: 1, a: 1, t: 1}. 1/126 Calculate prob of sequence huj when three letters picked without replacement from {h: 1, f: 1, u: 1, r: 1, j: 1}. 1/60 Calculate prob of sequence yhgc when four letters picked without replacement from gckghyhyl. 1/378 What is prob of sequence lxh when three letters picked without replacement from xxqhelwqw? 1/252 What is prob of sequence aaz when three letters picked without replacement from {a: 3, z: 4}? 4/35 Three letters picked without replacement from {s: 3, v: 1, g: 3, a: 3, t: 1, p: 2}. What is prob of sequence sas? 3/286 Three letters picked without replacement from {j: 2, u: 1, h: 1, x: 2}. Give prob of sequence jxh. 1/30 Four letters picked without replacement from {z: 10, x: 7, y: 1}. Give prob of sequence zyzz. 1/102 Calculate prob of sequence vrr when three letters picked without replacement from {r: 4, v: 2, o: 1, k: 1, m: 3}. 4/165 Calculate prob of sequence vzv when three letters picked without replacement from {v: 3, p: 4, g: 2, z: 6, k: 2, m: 1}. 1/136 Calculate prob of sequence zaa when three letters picked without replacement from vxvxva
{ "pile_set_name": "DM Mathematics" }
- l + (1 + 4 - 3)*(0*l - 5*l + 2*l) to d + r*l and give r. -5 Rearrange 1 + 2*z + 78*z**2 + 6*z**3 - 2*z**3 - 80*z**2 + (z**2 + z**2 - z**2)*(-2*z + 3*z - 2*z) to the form s*z**3 + b*z + v + k*z**2 and give k. -2 Express -378*l + 228*l - 258*l - 54 + 54 as a + t*l and give t. -408 Rearrange 78*l**2 + 7 + 43*l**2 - 7 to j*l**2 + n*l + o and give j. 121 Rearrange (-m**2 - 2*m**3 + m**2)*(-1 + m + 1) + (-1593*m**3 + 3473*m**2 - 3473*m**2)*(2*m - 2 + 2) to the form k*m**2 + t + j*m**3 + l*m + d*m**4 and give d. -3188 Express (-13*x - 30*x + 13*x)*(1 - 1 - 2)*(6 + 2*x**2 + 0*x**2 - 4) + 3*x**3 - 3*x**3 - 2*x**3 as i*x**3 + c*x**2 + l + t*x and give t. 120 Express ((0*q - 5*q + 2*q)*(3 + 1 + 1) + (-1 + 1 - 2)*(-2*q + 5*q - 5*q))*(-3*q + 4*q**2 + 3*q) in the form u + m*q**3 + p*q**2 + g*q and give m. -44 Rearrange (-j + 0*j + 3*j)*(2*j**2 + 0 + 0) + j**3 - 4*j**3 + 0*j**3 + (13*j**2 + 2*j**2 - 2*j**2)*(5*j - 2*j - j) to u*j**3 + c*j + l + m*j**2 and give u. 27 Rearrange (-1 + 4 - 1)*(-37 - 83 + 7)*(-3*p**2 - 3*p + 3*p) to the form c*p**2 + m*p + r and give m. 0 Rearrange (4*i - 2*i - 3*i)*(2 - 2 + 9*i)*(48*i - 31*i + 14*i) to the form y + c*i + z*i**3 + n*i**2 and give z. -279 Rearrange (1 + 0 - 4)*(66 - 47 - 38)*(-k + 2 + 4*k - 5*k) to the form w*k + j and give w. -114 Rearrange -10 + 114*i**2 - 7 + 17 to t + x*i + d*i**2 and give d. 114 Express (-256 + 75*g**2 + 256)*(0 - 2 + 1)*(-3*g + 0*g + g + 2) in the form y*g + t*g**2 + l*g**3 + r and give t. -150 Express -2*g**2 + 5*g + 2*g**4 + 0*g**4 - 4*g**3 - 20*g in the form v*g**3 + q*g**4 + j + z*g + o*g**2 and give v. -4 Express (1069 + s - 1086 + 1121 + s)*(3 + 2 - 3) in the form u + x*s and give x. 4 Rearrange -11*z + 6*z - 6*z + 7*z to t + o*z and give o. -4 Rearrange (-o**4 + 4*o**4 - o**4)*(2 - 1 + 2)*(-2 - 2 + 2) to m*o**4 + d*o**3 + s*o + c*o**2 + l and give m. -12 Rearrange -4 - 186*q + 557*q - 211*q to w + k*q and give k. 160 Rearrange -344 + 2*c + 320 + 3*c + 2*c**2 + c to the form d + p*c**2 + q*c and give p. 2 Rearrange (1 - 2 + 0 + (3 - 2 + 5)*(0 - 5 + 3))*(0*w + 0*w - w) + 0*w + 4*w - 5*w to j*w + u and give j. 12 Express (-3*u + 2*u + 2*u)*(2538*u**2 - 623*u**2 + 1846*u**2) as i + y*u + a*u**2 + f*u**3 and give f. 3761 Rearrange -2 + 37*j - 99*j - 11*j - 40*j to q*j + w and give q. -113 Rearrange (-16 - 35*g + 16)*(3 + 1 - 2 + (3 - 1 - 4)*(-2 - 4 + 4) + 4 + 3 - 6 - 1 + 2 + 0) to i + p*g and give p. -280 Express (9*r - 101*r - 298*r)*(-5 + r + 5) as k + v*r + x*r**2 and give x. -390 Rearrange 0*r**2 + 214*r**3 + 26*r**2 + 1 - 26*r**2 to the form a*r**2 + p*r**3 + d + j*r and give d. 1 Rearrange -9*w - 91 - 24*w + 91 to the form h + z*w and give z. -33 Express 5523 - 2762 + 78*b - 2758 as w + s*b and give s. 78 Rearrange -a**3 + 470*a + 7*a**2 - 239*a + 0*a**3 + 2 - 235*a to g*a**3 + v + w*a + c*a**2 and give c. 7 Rearrange (n + 2*n + 0*n)*(6 + 1 - 3)*(2 - 2 + 2) + (-2*n - 2*n + 2*n)*(1 - 1 - 1) to the form x + b*n and give b. 26 Express -5*r**2 + 36*r + 2*r**3 + 2*r**3 - 9*r + 4*r**2 in the form y*r**3 + j + u*r + z*r**2 and give y. 4 Express ((1 - 7 + 4)*(0 - 3 + 2) + 2 - 2 + 1 + 1 + 3 - 6 - 2 + 0 + 0)*(18405 + 340*s**2 - 18405) in the form c + j*s + n*s**2 and give n. -340 Rearrange 1 - 50*f**2 + 48*f**2 + 37*f - 37*f to w*f + y*f**2 + x and give y. -2 Rearrange 3*s**4 + 13 + s**2 - 2*s - 18 - 3*s**3 + 6 - s**4 to the form t + y*s + u*s**4 + a*s**3 + f*s**2 and give y. -2 Rearrange 4*r - 5*r + 12*r + 19*r**2 - 2*r to y + k*r**2 + b*r and give k. 19 Rearrange 147*x**3 - 2 + 134*x**3 - 272*x**3 + (4*x - 2*x - 3*x)*(2*x**2 - 3*x**2 - x**2) to the form q + j*x**2 + h*x + o*x**3 and give o. 11 Express (-8 + 195*x + 10 - 769*x)*(2*x**2 + 0 + 0) in the form s*x**2 + r + j*x + d*x**3 and give s. 4 Express -115*t**3 - 78*t**3 + 249*t**3 - 3 as h + s*t + g*t**3 + c*t**2 and give g. 56 Express (3 + 1 + 0)*(0 + j + 0)*((2*j**2 - j**2 + 2*j**2)*(4 - 4 + j) + 2*j**2 - 2*j**2 - 4*j**3) as w*j + q*j**2 + p*j**4 + o + d*j**3 and give p. -4 Express 76*m**3 - 2*m**4 + 3*m - 72*m**3 + 10*m - 3*m as g*m**2 + r*m**4 + b + p*m**3 + x*m and give r. -2 Express 23*w**2 + 62*w**2 - 34 - 69*w**2 as b + c*w + x*w**2 and give x. 16 Rearrange -y**2 - 12*y - 38 - 12*y + 25*y - y to the form w + f*y**2 + u*y and give w. -38 Rearrange (0 - 2 + 3)*(2*y + 0*y - 4*y) + (-6*y + 4*y + y)*(-1 + 1 - 1) + (0 + y + 0)*(-35 - 31 - 28) to l*y + b and give l. -95 Express (2 + 49 + 63 - 4)*(-6 - 5*o + 6) in the form d*o + m and give d. -550 Rearrange -309*g**2 + 37*g**2 - 12*g**2 - 127*g**2 to the form n + z*g**2 + i*g and give z. -411 Express -10*l**3 + 1061*l**2 - 7*l**4 + 1 - 3 - 2*l**4 - 527*l**2 - 531*l**2 as n + u*l**3 + v*l**2 + x*l**4 + a*l and give u. -10 Express (3 + 2 - 4)*((0 + 2 + 0)*(o + 1 - 1) + 0*o + 0*o - 3*o) + (1 - 1 + 1)*(o - 3*o + 4*o) - 5*o - 8 + 8 in the form i + x*o and give x. -4 Rearrange -43*x**3 + 21*x**3 - 15*x + 11*x**3 + 2 + 12*x**3 + x**2 - 14*x to u*x + i + r*x**2 + s*x**3 and give u. -29 Rearrange (9 + 2 + 5)*(-7 + 2 + 1)*(-1 - 1 + 1)*(-j - 4*j - 5*j) to s + x*j and give x. -640 Rearrange -237*r - 6*r**3 - 10 + 239*r + r**2 - 11 + 8*r**3 to the form z*r**2 + w*r + y + s*r**3 and give z. 1 Rearrange -2*z - z**3 + z - 103 + 3*z - 400*z**4 + 401*z**4 to the form p*z + t*z**4 + y*z**2 + k*z**3 + n and give p. 2 Rearrange 26 + 102 - 2*j**3 - 127 + j**2 - 40*j to h*j**2 + t*j**3 + p + s*j and give t. -2 Rearrange -647*c + 245*c + 239*c to the form x + u*c and give u. -163 Express 190*k**3 - 386*k**3 + 14*k**4 + 194*k**3 + 2*k**2 in the form r*k**3 + b*k**4 + p*k + q*k**2 + z and give b. 14 Rearrange -5*y**3 - 2*y**4 + 4*y**3 + 543 + 0*y**2 - 544 + 2*y**2 + 2*y to w*y + p*y**2 + j*y**3 + f*y**4 + h and give p. 2 Rearrange -y**4 - 75*y - y**3 + 167*y - 74*y + 4*y**4 - 1 to the form q + p*y**4 + j*y + i*y**2 + v*y**3 and give v. -1 Rearrange c**3 + 6*c**3 - 3*c**3 + (187 - 187 + 14*c)*(-10*c**2 - 4*c**2 + 8*c**2) to the form v*c + f*c**3 + q*c**2 + t and give v. 0 Express -109 + 7*p**2 + 22 + 13*p**2 - 22*p**2 as l*p**2 + b*p + g and give g. -87 Rearrange 1 - 138*a**3 - 25826*a**2 + 25826*a**2 to c*a + y*a**3 + j + k*a**2 and give j. 1 Express 10269 - 10269 + 1858*q**2 in the form o*q + y*q**2 + i and give y. 1858 Rearrange (-7*b + 7*b + 9*b + 9*b - 4*b)*(6806*b - 6806*b - 132*b**2) to r*b**3 + m*b + o*b**2 + g and give r. -1848 Rearrange -3*k**2 + 239*k + 494*k + 8 - 8 + 4*k**2 to v + x*k + w*k**2 and give w. 1 Express 0*r**2 - 2*r**4 + 1 + 56*r + r**2 - 22*r + 18*r**3 - 26*r as o + y*r + l*r**2 + n*r**3 + u*r**4 and give o. 1 Express 10 + s**2 - 9 - 2*s**4 - 3*s + 41*s**3 - 39*s**3 as q*s**3 + b*s + a + u*s**2 + j*s**4 and give j. -2 Express 2081*j**2 - 154082*j + 154082*j in the form i*j + a + w*j**2 and give a. 0 Express 16*m - 1 + 2 + 5 as x*m + w and give x. 16 Express -7 - 5*t - 16*t + 24 - 18*t - 9 as y + s*t and give y. 8 Express 65*i**3 + 8 + 0*i**2 - 6 - 15*i**3 + 4*i**2 as h*i**2 + m + o*i**3 + v*i and give m. 2 Rearrange (5 + r - 5)*(-145 + 256 - 131) to the form z*r + k and give z. -20 Rearrange ((-3*s + 5*s - s)*(3 + 3 - 4) + 6*s - 2*s - 2*s + s + 3*s + s)*(288 + 148 - 38) to the form a + z*s and give z. 3582 Rearrange -2*m**2 - 25*m**4 - 3 + 2*m + 4 - 2*m**3 + 14*m**4 + 16*m**4 + 2 to c*m + z + h*m**4 + w*m**2 + k*m**3 and give c. 2 Express (-7 - 30 + 3)*(16*t**2 - t**2 - 2*t**2 - 1) as g + k*t**2 + w*t and give k. -442 Express -19*p**3 - 9*p**3 - 7*p**3 + 5*p**3 + p as i + f*p + g*p**3 + b*p**2 and give g. -30 Rearrange -1 + 6*n**2 + 302*n**3 + 260*n**3 - 566*n**3 to the form u + m*n**3 + t*n**2 + l*n and give m. -4 Rearrange d**2 - 2*d**2 - 2*d**4 + 7*d**3 - 18*d + 8*d + 6*d to h*d + c + t*d**4 + x*d**3 + o*d**2 and give x. 7 Rearrange 3*i**2 - 8*i**4 - i - 2*i**2 + 19*i**4 - i**3 + 2*i**2 to q*i**2 + o*i + c*i**4 + n*i**3 + f and give f. 0 Express (-4*p - 3*p + p)*(3 - 3 + 2) - 1 + p + 1 + (-4 + 3 + 5)*(-p + 5*p - 3*p) in the form z + v*p and give v. -7 Rearrange 141*a - 2 + 89*a**2 - 2*a**4 + 4 - 139*a - 4 to the form u*a**3 + g*a + v*a**2 + x*a**4 + t and give x. -2 Rearrange 1 + 2*w + 4*w - 4*w + w + 7*w to r*w + m and give r. 10 Rearrange (-11 - 63*a**2 - 51*a**2 + 113*a**2)*(-2 + 2 - a) to p + k*a + y*a**3 + b*a**2 and give k. 11 Express (3*k - 3*k + k)*(7 - 5 + 2)*(k - k + 3*k
{ "pile_set_name": "DM Mathematics" }
+ 11*f = -f for f. 0 Suppose 78*x - 280 - 210 = -22. Solve 0 = -k + x for k. 6 Let i(r) = -2*r - 3. Let g be i(-4). Let p(l) = l**2 - 12*l - 24. Let v be p(14). Suppose 105 = -v*t + 129. Solve g*u = t - 16 for u. -2 Let b(c) = -c**2 + 19*c + 182. Let f be b(25). Solve -154*u - f = -122*u for u. -1 Suppose -o - 1218 = 5*o. Let b = o + 206. Solve 0 = -7*r + b*r for r. 0 Suppose -5*o = 84*c - 81*c - 11, -c + 2*o = 0. Solve 0 = 4*k - c*k - 4 for k. 2 Suppose -v = 3*c + 4, -16 = -4*c + 8*c. Let b be 1 - (v/(-14))/((-16)/(-56)). Suppose b*t + 2*t = 15. Solve 4 = -l + t*l for l. 2 Suppose 1230 = 12*n - 1194. Let i = -200 + n. Solve -2*y = i*y - 8 for y. 2 Let i(w) be the first derivative of -w**4/4 - 3*w**3 + 3*w**2 - 37*w - 83. Let g be i(-10). Solve -4*o - g = -7 for o. 1 Suppose -447 = 2*a + 723. Let x = a - -591. Solve -x = -v - 2*v for v. 2 Let i(v) be the third derivative of 11/3*v**3 + 38*v**2 + 2/15*v**5 - 3/4*v**4 + 0*v + 0 + 1/120*v**6. Let l be i(-10). Solve l*t - t = 5 for t. 5 Let a = 181 + -181. Suppose a = -s + 3*y, -2*s = 2*y + y. Solve s*k = k + 1 for k. -1 Let f be (0*(-41)/(-1968))/((1 - 3) + 3). Let g be ((-3)/(-2))/(1/4). Solve f = -g*s + 4*s for s. 0 Let t = 26903 - 26885. Solve -4 + 94 = t*i for i. 5 Suppose -3*t + 2 = 4*s, 0*t - t + 4*s = -6. Suppose 9*h = -5*c + 7*h + 25, c + 4*h = 23. Let j be 18/6 - (-7 + c)/(-2). Solve t + j = 3*l for l. 1 Suppose 63 = j - 50. Let b = j - 107. Let q be 4/(-14) + (-48)/(-21). Solve 0 = -2*r - b - q for r. -4 Suppose -5*r = 2*c - 39, 4 = 110*c - 113*c + 5*r. Solve c*s + 12 = 68 for s. 8 Let d be 1 + 21*4 + (14 - 11). Suppose d*o - 24 = 85*o. Let s be (4/(-2))/(8/(-28)). Solve -5*u + s + o = 0 for u. 3 Suppose 6*v - 25*v = -57. Suppose -u + 65 = v*c + 56, 4*u + 5*c - 71 = 0. Solve 5*a - u = -9 for a. 3 Let m = 3305 + -3297. Solve 0 = -m*c - 41 + 17 for c. -3 Let x(l) = -l**3 + 24*l**2 - 23*l + 5. Let b be x(23). Suppose 5*u = 4*n + 28, b*u + 3 = n + 40. Solve 0 = 3*f - 2 + u for f. -2 Let d be (59 - 5) + (0 - (-2 - -2)). Suppose 42 = -3*a + d. Solve -y - 15 = -a*y for y. 5 Let c be (-1)/((-28)/40) - 3744/(-182). Solve 19 = -c*o - 157 for o. -8 Let x = -2600 - -2602. Solve 10*n + x = 42 for n. 4 Suppose 775*g = 779*g - 20. Suppose -r + 5 = g*s, -1 = 3*r - 2*s + s. Solve -c + 8 - 4 = r for c. 4 Let h(n) = -2*n**3 + 37*n**2 + 18*n - 15. Let d be h(19). Let q = 39 + d. Solve -q*f + f = -16 for f. 4 Let d be -193 + 198 - 1*15/3. Solve d*t = -8*t + 48 for t. 6 Let j be 6350/(-15)*(4 + (-156)/30). Let u = j - 503. Solve u = -m + 2 for m. -3 Suppose -87*j + 365 = -2130 + 407. Solve -j = -6*k + 12 for k. 6 Let k(r) = -r**3 - 5*r**2 - r - 3. Suppose 0 = -7*c + 4*c - 15. Let a be k(c). Let q be (21/28 - 1/(-4)) + a. Solve -7 = -2*x + q for x. 5 Suppose 2*w - 296 = -4*f + 2*f, -2*f + 755 = 5*w. Suppose 133 = 22*g - w. Solve 46 = g*i - 19 for i. 5 Let g = 71 - 303. Let r = 237 + g. Solve 16 + 4 = -r*j for j. -4 Let f = 26 + -20. Let b = 9 - f. Suppose 0 = -t - b*y - 6, t - 1 = -y + 1. Solve 14 = -4*u + t for u. -2 Let l = 534 - 529. Let a(f) be the first derivative of f**2/2 - 2*f - 2. Let m be a(l). Solve m*z = -2*z for z. 0 Let q be (0*(-2)/4)/(-1). Suppose 127*w - 72*w = 149 + 16. Let u be (1 + -2)/1 + 25. Solve -w*b - 9 + u = q for b. 5 Suppose 6*f - 12*f = -48. Let w(y) = -y**3 + 6*y**2 + 16*y + 3. Let i be w(f). Suppose -6 = -j - i. Solve -1 - j = -h for h. 4 Let y(d) = 6*d**3 - 11*d**2 - 15*d + 12. Let k be y(3). Solve k = -35*l + 40*l for l. 6 Let w be 2/4 + 6/((-84)/(-203)). Let u be ((-8)/(-10))/((-13)/65). Let j be 6 - (12/u - -4). Solve -j*b + 0*b + w = 0 for b. 3 Suppose -4*s = -3*b - 748, 5 - 13 = -2*s. Let n = 248 + b. Let i = -12 - -17. Solve n*u - i = -1 for u. 1 Let h be 17 + ((-10290)/(-10))/21. Solve 12*f - f + h = 0 for f. -6 Let f = 8670 + -8639. Solve 44*d - f*d + 13 = 0 for d. -1 Suppose 0 = -422*w + 429*w + 2394. Let x = w + 387. Solve x*l - 25 = 50*l for l. -5 Let u be 124 + ((-28)/(-70))/(2/(-30)). Suppose 0 = 29*j - 114 - u. Solve j*k = 5*k for k. 0 Suppose 2*o - 20 = 3*i, -7*i + 2*i = -5*o + 40. Suppose 0*a = o*a - 16. Suppose -a*m + 12 = -g, -3*g + 3*m - 6 = m. Solve 3*y = -g*y + 15 for y. 5 Suppose -18 = -2*t + 2. Let r be (-3 + -10)*3*1. Let z = r + 41. Solve t = -0*k + z*k for k. 5 Let i(w) = -18*w + 156. Suppose -4*u + 174 = 142. Let g be i(u). Solve -g*t + 18 = -3*t for t. 2 Let m be 136/51*9/4. Solve -13*q + 19 = m*q for q. 1 Let i(t) = 21 - 2*t + 8 + t - 15. Let z be i(10). Solve -15 = -9*l + z*l for l. 3 Let g be ((-10)/25)/1 + 24/10. Suppose 0*n - 96 = -g*n. Let u = 48 - n. Solve -4*y - 16 = -u*y for y. -4 Let s(q) be the third derivative of 19*q**4/24 - q**3 - 4*q**2. Let d be s(2). Let k be (-1 - 0) + (d/4)/2. Solve 8*i = k*i for i. 0 Let f = 303 + -208. Let x = f - 76. Solve 5*l - 44 = -x for l. 5 Let p be 0 - -321 - (-3)/((-3)/4). Let o(k) = -40 + p*k + 8 - k**2 - 336*k. Let n be o(-17). Solve 2*g + 0*g = -n for g. -1 Let f be (-2)/16 - (-1804)/352. Let d be -7 + 9 + f/(5/3). Solve d = 5*k - 0*k for k. 1 Let v be (-6 + 0 - -3) + 5. Suppose -7*t = -v*t - 5*h - 5, 0 = h. Solve 3*w - t = -7 for w. -2 Suppose 4 = -j - 19. Let t be (-22 - j)*(-1)/((-1)/5). Let o(s) = 4*s - 17. Let n be o(t). Solve n*g + 4 = -2 for g. -2 Suppose j - 4 = -3*j. Let s = -301 + 305. Let a be s*j/(-2)*(0 + -2). Solve -a + 10 = -3*x for x. -2 Let f(p) = p**3 - 16*p**2 - 17*p + 3. Let x be f(17). Let y be ((-387)/(-12))/(x/12). Let k = y - 125. Solve -k = -3*t - 1 for t. 1 Let k = 86 + -82. Suppose -2*o - o = 0, k*b = -2*o + 44. Solve 0 = -6*u + b*u + 10 for u. -2 Suppose -185*a + 19404 = 13*a. Solve 28*i = a*i + 490 for i. -7 Let w = -200 + 143. Let k = w + 57. Let m be 1/2*k/(-4). Solve u = -m*u - 3 for u. -3 Let z(m) = -254*m**3 - 2*m**2 + m. Let d be z(1). Let x = d - -255. Solve x = -5*v + 20 for v. 4 Let g(k) be the third derivative of -k**5/60 + k**4/4 + 2*k**3/3 - 4*k**2. Let l be g(4). Let q be 4/(-14)*(-42)/l. Solve -o + 5 = q for o. 4 Let s be 10*(2 + (-12)/10). Let p(n) = -n**2 - 8*n + 2. Suppose -2*t - 16 = -0*t. Let q be p(t). Solve 2*h + q*h = s for h. 2 Let j be 6/(2 - 3) + (-12 - -14). Let r be 12/((2/j)/((-5)/15)). Suppose -12*d = -r*d - 8. Solve -d*i = -6*i for i. 0 Suppose -48*n = -50*n + 90. Suppose n - 29 = -4*m. Let y(r) = -r**3 - 3*r**2 + 5*r + 4. Let x be y(m). Solve 0 = -s + 5 - x for s. 5 Let g(n) = -2*n**3 + 27*n**2 + 14*n + 4. Let s be g(14). Let l be (s + 190/(-15))*9/(-6). Solve 7 = -4*z - l for z. -5 Let f(y) = -2*y + 7. Let d be f(4). Let g be (-33 - -25)*3*d. Solve 7*l + g = l for l. -4 Let o(m) = -12*m**3 + 10*m**2 - 2*m - 12. Let a be o(-2). Solve 3*g - a = -125 for g. 1 Let d be (297/165)/(3/20 + 0). Suppose -10*f - 5*q + 16 = -12*f, 4*f - d = -q. Solve -f*s = 2*s + 12 for s. -3 Let h(f) = -f**3 - 2*f**2 + 9*f + 8. Suppose 5*b - 12 = -32. Let y be h(b). Solve 0 = -n - 3*n + y for n. 1 Suppose 33*p = 41*p - 680. Suppose 67 = -3*b + p. Solve 2*s = -b*s for s. 0 Let v(b) = 59*b**2 - 11*b + 6. Let c be v(1). Solve 9*d + c = -0*d for d. -6 Let k(n) = -4*n**3 - 99*n**2 + 7*n - 108. Let h be k(-25). Solve 25 = 337*o - h*o for o. -5 Let y be ((-70)/(-315))/((-1)/(-9)). Suppose y*m - 5*c - 4 = 0, 4*m + 6*c - 5*c = 30. Solve x = m*x - 24 for x. 4 Let z be ((-9)/(-2))/3*336/(-32)*-12. Solve 0 = -197*r + z*r - 56 for r. -7 Let o = 53 - 53. Suppose 5*n = -2*a, -4*a + 3*a = o. Let l be -1*(-3 - -4 - 7). Solve l + n = -3*s for s. -2 Let r(q) be the second derivative of -3*q**5/20 - 25*q**4/12 + 17*q**3/6 - q**2/2 + 157*q. Let t be r(-9). Solve t*k + k = -18 for k. -2 Suppose -b - 5*y + 35 = -0*b, 0 = y - 3. Suppose 2*o - 10 = 2*p, -b = 3*p - 2*o - 2*o. Solve p*s = -s for s. 0 Let r = 9470 - 9440. Solve r = 5*n + 35 for n. -1 Let o(g) = -42*g + 1518. Let y be o(36). Solve 38*l + y = 36*l for l. -3 Suppose 5*j + 609 + 691 = 0. Let m = j + 264. Solve 0 = -m*o - 9 - 11 for o. -5 Let d(f) = 2 + 1 - 4 + 6*f - 7*f + 2*f**2 + 39*f**3. Let p be d(-1). Let a = 47 + p. Solve -a = 5*g + 10 for g. -4 Let v be ((-22)/6)/(-6 + (-57)/(-9)). Let f = v + 21. Let l be (((-36)/2)/3)/(-2). Solve -l*i + f = -i for i. 5 Let i = -9 - -9. Suppose 20 = q + 6*t - t, 2*t - 8 = q. Suppose 5*l + z - 22 = 0, q = 3*l - z - 3 - 7. Solve 4*o - l + i = 0 for o. 1 Let w(b) = -5 + b**3 - 13*b + 20*b -
{ "pile_set_name": "DM Mathematics" }
-3*v**2 + 1350*v - 151875. -3*(v - 225)**2 Find z such that 10*z**5/17 + 84*z**4/17 - 58*z**3/17 - 36*z**2/17 = 0. -9, -2/5, 0, 1 Factor -5*o**3 + 20*o**2 + 960*o. -5*o*(o - 16)*(o + 12) Factor 5*v**2/4 - 13*v/4 - 3/2. (v - 3)*(5*v + 2)/4 Find g such that -2*g**4/13 - 14*g**3/13 - 12*g**2/13 + 56*g/13 + 80/13 = 0. -5, -2, 2 What is w in 3*w**3 - 219*w**2 - 2415*w - 6225 = 0? -5, 83 Factor -q**4 + 264*q**3 - 26136*q**2 + 1149984*q - 18974736. -(q - 66)**4 Determine v, given that 5*v**4/3 - v**3/3 = 0. 0, 1/5 Factor 2*g**2/13 + 44*g/13 - 16. 2*(g - 4)*(g + 26)/13 Factor 2*h**4/9 + 4*h**3/9 - 10*h**2/3. 2*h**2*(h - 3)*(h + 5)/9 Factor 3*c**2 - 942*c + 73947. 3*(c - 157)**2 Factor 2*b**2/3 + 274*b/3 - 556/3. 2*(b - 2)*(b + 139)/3 Determine v so that -19*v**3 - 113*v**2/2 - 73*v/2 + 1 = 0. -2, -1, 1/38 Let -2*f**5/3 + 28*f**4/3 + 10*f**3 = 0. What is f? -1, 0, 15 Factor -2*j**2/9 - 9704*j/9 - 11770952/9. -2*(j + 2426)**2/9 Find c, given that -2*c**2 + 8*c + 154 = 0. -7, 11 Factor -3*k**3 + 168*k**2 - 1269*k. -3*k*(k - 47)*(k - 9) Find k, given that 20*k**4/7 + 44*k**3/7 - 212*k**2/7 - 284*k/7 - 48/7 = 0. -4, -1, -1/5, 3 Suppose -3*g**3/4 + 21*g**2 - 39*g = 0. Calculate g. 0, 2, 26 Find z, given that 4*z**2 + 16*z - 20 = 0. -5, 1 Find z such that -29*z**2/5 + 404*z/5 + 28/5 = 0. -2/29, 14 Find p such that -p**5/2 + p**4/2 + 3*p**3/2 - 5*p**2/2 + p = 0. -2, 0, 1 Factor -t**3/3 - 13*t**2 - 38*t/3. -t*(t + 1)*(t + 38)/3 Factor -k**2/2 + 621*k/2 + 623. -(k - 623)*(k + 2)/2 Factor -2*c**3/5 - 384*c**2/5. -2*c**2*(c + 192)/5 What is o in 9*o**5/4 + 33*o**4/4 + 37*o**3/4 + 15*o**2/4 + o/2 = 0? -2, -1, -1/3, 0 Let y**4/3 - 4*y**3/3 - 2*y**2 + 4*y/3 + 5/3 = 0. What is y? -1, 1, 5 Let 2*h**4 + 2*h**3 - 2*h**2 - 2*h = 0. Calculate h. -1, 0, 1 Suppose -p**4 + 15*p**3 - 74*p**2 + 132*p - 72 = 0. Calculate p. 1, 2, 6 Factor k**2 - 504*k + 503. (k - 503)*(k - 1) Factor v**4 + 5*v**3 - 3*v**2 - 17*v - 10. (v - 2)*(v + 1)**2*(v + 5) Factor 2*t**3/9 - 28*t**2/3 + 392*t/3 - 5488/9. 2*(t - 14)**3/9 Determine m so that 2*m**2/3 - 136*m + 6936 = 0. 102 Determine r, given that -4*r**3 + 20*r**2 + 228*r + 396 = 0. -3, 11 Solve -15*l**4 + 10*l**3 + 45*l**2 - 20 = 0 for l. -1, 2/3, 2 Find h such that -2*h**2/11 + 172*h/11 - 3698/11 = 0. 43 Solve -4*x**2 + 188*x = 0. 0, 47 Factor z**4 - 24*z**3 + 119*z**2 + 144*z. z*(z - 16)*(z - 9)*(z + 1) Factor 2*n**4 - 52*n**3 - 296*n**2 - 428*n - 186. 2*(n - 31)*(n + 1)**2*(n + 3) Let -4*g**2 + 1496*g = 0. What is g? 0, 374 Suppose -2*l**4 + 27*l**3/2 - 17*l**2/2 - 3*l = 0. What is l? -1/4, 0, 1, 6 Solve 11907*d**2/4 - 378*d + 12 = 0 for d. 4/63 Factor d**2/3 - 46*d/3 + 160. (d - 30)*(d - 16)/3 What is c in 4*c**5 - 44*c**4/3 + 8*c**3/3 + 56*c**2/3 - 20*c/3 - 4 = 0? -1, -1/3, 1, 3 Factor 3*u**3/5 + 39*u**2/5 + 108*u/5. 3*u*(u + 4)*(u + 9)/5 Factor -5*b**3 - 1915*b**2 - 7600*b - 7580. -5*(b + 2)**2*(b + 379) Find i such that -4*i**2 - 72*i = 0. -18, 0 Find o such that -6*o**4/11 + 96*o**3/11 + 324*o**2/11 + 336*o/11 + 114/11 = 0. -1, 19 Factor 4*r**2/3 + 1076*r/3 - 360. 4*(r - 1)*(r + 270)/3 Factor -2*k**5/7 + 36*k**4/7 - 258*k**3/7 + 920*k**2/7 - 1632*k/7 + 1152/7. -2*(k - 4)**3*(k - 3)**2/7 Factor -d**2/3 - 73*d/3 + 308/3. -(d - 4)*(d + 77)/3 Factor -125*w**3/2 + 5425*w**2/2 - 2155*w/2 + 215/2. -5*(w - 43)*(5*w - 1)**2/2 Factor q**2/3 + 170*q/3 + 583. (q + 11)*(q + 159)/3 Determine t so that 14792*t**5 - 31906*t**4 + 19124*t**3 - 1706*t**2 - 296*t - 8 = 0. -2/43, 1/4, 1 Suppose -4*a**3/7 + 120*a**2/7 + 436*a/7 - 1320/7 = 0. Calculate a. -5, 2, 33 Factor 2*w**2/7 + 112*w - 786/7. 2*(w - 1)*(w + 393)/7 Find w, given that 2*w**4/7 + 3900*w**3/7 + 1897346*w**2/7 - 3806400*w/7 + 1905152/7 = 0. -976, 1 Factor -u**3/7 + 750*u**2/7. -u**2*(u - 750)/7 Find m such that -4*m**5 + 220*m**4 + 1772*m**3 - 2204*m**2 - 1768*m + 1984 = 0. -8, -1, 1, 62 Suppose o**4 - 60*o**3 + 1062*o**2 - 4860*o + 6561 = 0. What is o? 3, 27 Let -6*q**3 + 292*q**2/3 - 64*q/3 = 0. What is q? 0, 2/9, 16 Find v, given that 3*v**4/4 - 855*v**3/2 - 1713*v**2/4 = 0. -1, 0, 571 Suppose 3*u**5/2 + 9*u**4/2 - 87*u**3/2 - 9*u**2/2 + 42*u = 0. Calculate u. -7, -1, 0, 1, 4 Factor -g**2/3 - 104*g/3 - 2704/3. -(g + 52)**2/3 Determine c so that c**5/6 - 55*c**4/6 + 524*c**3/3 - 3982*c**2/3 + 10480*c/3 - 8800/3 = 0. 2, 11, 20 Find n, given that 2*n**3/11 - 46*n**2/11 + 240*n/11 + 288/11 = 0. -1, 12 Factor -264*r**2 + 105*r - 9. -3*(8*r - 1)*(11*r - 3) Solve 6*k**4/7 + 78*k**3 - 2250*k**2/7 + 2838*k/7 - 1140/7 = 0 for k. -95, 1, 2 What is o in -5*o**5 - 5*o**4 + 15*o**3 + 5*o**2 - 10*o = 0? -2, -1, 0, 1 Factor t**3/3 + 13*t**2/3 - 16*t/3 - 28/3. (t - 2)*(t + 1)*(t + 14)/3 Solve k**4 - 4*k**3 - 12*k**2 + 32*k + 64 = 0 for k. -2, 4 Find w such that 20*w**3 + 912*w**2 - 368*w = 0. -46, 0, 2/5 Solve -5*t**5 - 5*t**4 = 0 for t. -1, 0 Factor 98*r**4/19 + 224*r**3/19 + 58*r**2/19 + 4*r/19. 2*r*(r + 2)*(7*r + 1)**2/19 Find d, given that -15*d**3 - 710*d**2 + 480*d = 0. -48, 0, 2/3 Let -35*l**4 - 360*l**3 - 905*l**2 - 720*l - 140 = 0. Calculate l. -7, -2, -1, -2/7 Suppose w**4 - 12*w**3 + 36*w**2 = 0. Calculate w. 0, 6 Determine g so that -578*g**5 - 680*g**4 + 943*g**3/2 + 1351*g**2/2 + 213*g/2 + 9/2 = 0. -1, -3/34, 1 What is d in 4*d**2/3 - 524*d/3 + 512 = 0? 3, 128 Find y, given that -y**5/7 - 22*y**4 + 157*y**3/7 + 310*y**2/7 = 0. -155, -1, 0, 2 Factor -y**3 + 78*y**2 - 1440*y - 3200. -(y - 40)**2*(y + 2) Suppose -3*t**2 - 5700*t - 2707500 = 0. What is t? -950 Determine g, given that 4*g**3/5 - 92*g**2 + 908*g/5 - 452/5 = 0. 1, 113 Factor 2*s**4/7 - 10*s**3/7 + 4*s**2/7 + 16*s/7. 2*s*(s - 4)*(s - 2)*(s + 1)/7 Factor 2*k**4/13 - 22*k**3/13 + 84*k**2/13 - 136*k/13 + 80/13. 2*(k - 5)*(k - 2)**3/13 What is p in -3*p**2 - 138*p - 1587 = 0? -23 Suppose p**5 - 4*p**4 - 115*p**3 + 238*p**2 - 120*p = 0. What is p? -10, 0, 1, 12 Factor -2*g**2/7 + 442*g/7 - 1308/7. -2*(g - 218)*(g - 3)/7 Let 2*c**4/15 - 148*c**3/15 - 302*c**2/15 - 152*c/15 = 0. What is c? -1, 0, 76 Determine m so that m**3/2 + 381*m**2/2 + 36099*m/2 - 36481/2 = 0. -191, 1 Find s, given that -3*s**5/4 - 15*s**4/2 + 117*s**3/2 + 21*s**2 - 735*s/4 + 225/2 = 0. -15, -2, 1, 5 Determine x so that -x**3/3 + 34*x**2/3 - 65*x/3 + 32/3 = 0. 1, 32 What is a in -35*a**4/6 + 19*a**3/3 - a**2/2 = 0? 0, 3/35, 1 Factor 5*k**2 - 4120*k. 5*k*(k - 824) Find z such that -z**5/6 + 65*z**4/3 + 202*z**3/3 - 331*z**2/3 - 403*z/6 + 266/3 = 0. -4, -1, 1, 133 Factor -2*n**2/7 + 1116*n/7 - 3330/7. -2*(n - 555)*(n - 3)/7 Solve 2*r**3 + 38*r**2 + 240*r + 504 = 0. -7, -6 What is o in -24*o**4 + 899*o**3/5 - 358*o**2/5 - 379*o/5 - 42/5 = 0? -3/8, -2/15, 1, 7 What is r in 5*r**3 + 55*r**2 + 160*r + 140 = 0? -7, -2 Factor -f**2/4 + 61*f/2 - 121/4. -(f - 121)*(f - 1)/4 Find d such that d**3/3 - 52*d**2 - 1141*d/3 = 0. -7, 0, 163 Determine r so that -2*r**3 - 566*r**2 - 39760*r + 40328 = 0. -142, 1 What is s in 4*s**5 - 172*s**4 + 300*s**3 + 1228*s**2 - 3328*s + 1968 = 0? -3, 1, 2, 41 Factor -k**3/5 - 17*k**2/5 - 66*k/5. -k*(k + 6)*(k + 11)/5 Let 3*h**5 + 9*h**4 - 9*h**3 - 21*h**2 + 18*h = 0. What is h? -3, -2, 0, 1 Determine f, given that -2*f**5 - 244*f**4 - 1182*f**3 - 1396*f**2 + 952*f + 1872 = 0. -117, -2, 1 Determine j so that -2*j**4/7 - 2*j**3 - 10*j**2/7 + 2*j + 12/7 = 0. -6, -1, 1 Factor 25*s**3/6 - 515*s**2/6 - 209*s/6 - 7/2. (s - 21)*(5*s + 1)**2/6 Solve 3*z**3 - 3*z**2 = 0 for z. 0, 1 Suppose -2*w**4/9 - 8*w**3/9 + 2*w**2/9 + 8*w/9 = 0. Calculate w. -4, -1, 0, 1 Factor -4*f**3 - 35*f**2/3 - 7*f + 2/3. -(f + 1)*(f + 2)*(12*f - 1)/3 Factor 12*u**4 - 50223*u**3 + 70069455*u**2 - 32593972725*u + 8144114625. 3*(u - 1395)**3*(4*u - 1) Factor -4*x**4 + 44*x**3 - 168*x**2 + 272*x - 160. -4*(x - 5)*(x - 2)**3 Determine a, given that -5*a**2/6 + 11*a/3 - 4/3 = 0. 2/5, 4 Factor -2*l**4/11 + 472*l**3/11 + 1428*l**2/11 + 1432*l/11 + 478/11. -2*(l - 239)*(l + 1)**3/11 Factor -c**4 - 7*c**3 - 5*c**2 + 7*c + 6. -(c - 1)*(c + 1)**2*(c + 6) Factor -2*u**3/11 - 56*u**2/11 - 520*u/11 - 1600/11. -2*(u + 8)*(u + 10)**2/11 Let 8*g**2/3 - 22*g + 100/3 = 0. Calculate g. 2, 25/4 Factor u**3/10 + 232*u**2/5 + 26912*u/5. u*(u + 232)**2/10 Find c such that -2*c**3 - 20*c**2 + 104*c - 112 = 0. -14, 2 Factor -2*y**2 + 650*y + 1308. -2*(y - 327)*(y + 2) Let 6*g**4 + 15*g**3 - 3*g**2
{ "pile_set_name": "DM Mathematics" }
? 130 Calculate the remainder when 20067 is divided by 30. 27 What is the remainder when 1220 is divided by 302? 12 Calculate the remainder when 99 is divided by 36. 27 What is the remainder when 46 is divided by 18? 10 Calculate the remainder when 83 is divided by 3. 2 Calculate the remainder when 1895 is divided by 8. 7 Calculate the remainder when 1113 is divided by 93. 90 What is the remainder when 395 is divided by 63? 17 Calculate the remainder when 88 is divided by 31. 26 What is the remainder when 142 is divided by 49? 44 Calculate the remainder when 799 is divided by 80. 79 What is the remainder when 5696 is divided by 19? 15 Calculate the remainder when 105 is divided by 22. 17 Calculate the remainder when 757 is divided by 109. 103 What is the remainder when 1046 is divided by 398? 250 Calculate the remainder when 245 is divided by 10. 5 What is the remainder when 148 is divided by 6? 4 What is the remainder when 224 is divided by 166? 58 Calculate the remainder when 720 is divided by 178. 8 Calculate the remainder when 413 is divided by 32. 29 What is the remainder when 462 is divided by 422? 40 Calculate the remainder when 793 is divided by 85. 28 Calculate the remainder when 14252 is divided by 88. 84 What is the remainder when 1183 is divided by 130? 13 What is the remainder when 14007 is divided by 17? 16 Calculate the remainder when 146 is divided by 17. 10 Calculate the remainder when 94 is divided by 27. 13 What is the remainder when 136 is divided by 35? 31 What is the remainder when 300 is divided by 16? 12 Calculate the remainder when 1198 is divided by 80. 78 What is the remainder when 191 is divided by 66? 59 Calculate the remainder when 728 is divided by 188. 164 What is the remainder when 147 is divided by 11? 4 What is the remainder when 3719 is divided by 31? 30 Calculate the remainder when 47 is divided by 12. 11 What is the remainder when 588 is divided by 46? 36 Calculate the remainder when 6182 is divided by 221. 215 Calculate the remainder when 140 is divided by 54. 32 What is the remainder when 198 is divided by 73? 52 What is the remainder when 1854 is divided by 35? 34 What is the remainder when 72 is divided by 21? 9 Calculate the remainder when 356 is divided by 21. 20 Calculate the remainder when 290 is divided by 56. 10 Calculate the remainder when 364 is divided by 74. 68 Calculate the remainder when 192 is divided by 95. 2 What is the remainder when 1280 is divided by 107? 103 What is the remainder when 476 is divided by 159? 158 Calculate the remainder when 1298 is divided by 20. 18 What is the remainder when 2347 is divided by 193? 31 What is the remainder when 1087 is divided by 10? 7 What is the remainder when 263 is divided by 80? 23 What is the remainder when 651 is divided by 218? 215 What is the remainder when 2371 is divided by 55? 6 Calculate the remainder when 216 is divided by 4. 0 Calculate the remainder when 32 is divided by 3. 2 What is the remainder when 520 is divided by 17? 10 Calculate the remainder when 82 is divided by 6. 4 What is the remainder when 129 is divided by 44? 41 What is the remainder when 93 is divided by 23? 1 Calculate the remainder when 1521 is divided by 182. 65 Calculate the remainder when 663 is divided by 114. 93 Calculate the remainder when 9991 is divided by 38. 35 What is the remainder when 12449 is divided by 415? 414 What is the remainder when 330 is divided by 114? 102 Calculate the remainder when 9514 is divided by 156. 154 Calculate the remainder when 16303 is divided by 16. 15 What is the remainder when 474 is divided by 39? 6 What is the remainder when 62 is divided by 13? 10 Calculate the remainder when 1325 is divided by 56. 37 What is the remainder when 147 is divided by 14? 7 What is the remainder when 234 is divided by 116? 2 What is the remainder when 2068 is divided by 46? 44 What is the remainder when 140 is divided by 13? 10 What is the remainder when 2160 is divided by 21? 18 What is the remainder when 8059 is divided by 36? 31 Calculate the remainder when 59 is divided by 16. 11 What is the remainder when 3409 is divided by 31? 30 Calculate the remainder when 69 is divided by 14. 13 Calculate the remainder when 316 is divided by 20. 16 Calculate the remainder when 222 is divided by 75. 72 Calculate the remainder when 142 is divided by 9. 7 What is the remainder when 433 is divided by 62? 61 What is the remainder when 1004 is divided by 137? 45 Calculate the remainder when 570 is divided by 73. 59 Calculate the remainder when 153 is divided by 82. 71 What is the remainder when 449 is divided by 90? 89 What is the remainder when 1525 is divided by 228? 157 Calculate the remainder when 623 is divided by 11. 7 What is the remainder when 415 is divided by 108? 91 Calculate the remainder when 104 is divided by 31. 11 Calculate the remainder when 156 is divided by 42. 30 What is the remainder when 225 is divided by 6? 3 Calculate the remainder when 194 is divided by 44. 18 Calculate the remainder when 470 is divided by 160. 150 What is the remainder when 389 is divided by 30? 29 Calculate the remainder when 7081 is divided by 28. 25 Calculate the remainder when 262 is divided by 69. 55 What is the remainder when 1648 is divided by 30? 28 What is the remainder when 1881 is divided by 233? 17 What is the remainder when 150 is divided by 38? 36 Calculate the remainder when 142 is divided by 37. 31 What is the remainder when 113 is divided by 51? 11 Calculate the remainder when 171 is divided by 33. 6 Calculate the remainder when 2242 is divided by 283. 261 Calculate the remainder when 187 is divided by 55. 22 What is the remainder when 140 is divided by 19? 7 Calculate the remainder when 538 is divided by 11. 10 What is the remainder when 1325 is divided by 78? 77 What is the remainder when 252 is divided by 1? 0 What is the remainder when 7168 is divided by 24? 16 Calculate the remainder when 490 is divided by 12. 10 Calculate the remainder when 170 is divided by 32. 10 What is the remainder when 5485 is divided by 13? 12 What is the remainder when 188 is divided by 102? 86 What is the remainder when 2999 is divided by 30? 29 Calculate the remainder when 734 is divided by 46. 44 Calculate the remainder when 52 is divided by 16. 4 What is the remainder when 2100 is divided by 1049? 2 Calculate the remainder when 321 is divided by 18. 15 What is the remainder when 1171 is divided by 564? 43 Calculate the remainder when 497 is divided by 493. 4 What is the remainder when 158 is divided by 7? 4 Calculate the remainder when 415 is divided by 412. 3 Calculate the remainder when 357 is divided by 73. 65 Calculate the remainder when 292 is divided by 14. 12 Calculate the remainder when 345 is divided by 28. 9 Calculate the remainder when 266 is divided by 5. 1 Calculate the remainder when 175 is divided by 58. 1 What is the remainder when 5986 is divided by 2983? 20 What is the remainder when 608 is divided by 12? 8 Calculate the remainder when 421 is divided by 131. 28 What is the remainder when 30 is divided by 18? 12 Calculate the remainder when 235 is divided by 10. 5 Calculate the remainder when 76 is divided by 4. 0 What is the remainder when 676 is divided by 10? 6 Calculate the remainder when 202 is divided by 76. 50 What is the remainder when 46 is divided by 9? 1 What is the remainder when 242 is divided by 86? 70 Calculate the remainder when 1569 is divided by 11. 7 Calculate the remainder when 135 is divided by 23. 20 What is the remainder when 1690 is divided by 18? 16 Calculate the remainder when 127 is divided by 33. 28 What is the remainder when 294 is divided by 143? 8 Calculate the remainder when 684 is divided by 49. 47 What is the remainder when 364 is divided by 73? 72 What is the remainder when 141 is divided by 12? 9 What is the remainder when 562 is divided by 274? 14 Calculate the remainder when 214 is divided by 205. 9 Calculate the remainder when 1347 is divided by 13. 8 Calculate the remainder when 27492 is divided by 9. 6 What is the remainder when 2368 is divided by 34? 22 Calculate the remainder when 8114 is divided by 2701. 11 What is the remainder when 303 is divided by 73? 11 What is the remainder when 200 is divided by
{ "pile_set_name": "DM Mathematics" }
1 Let x be -1*13/(-4)*16. Let v(i) = -51 + 13*i**2 - 8*i**2 + x - 6*i**2 + 7*i. Determine v(8). -7 Let t be (-2)/(-6) - 8/(-3). Let r(m) = -m**2 + 309*m + 15. Let c(z) = z**2 - 265*z - 13. Let w(b) = -7*c(b) - 6*r(b). Determine w(t). -5 Let v(r) be the second derivative of 69*r - 6*r**2 - 1/6*r**3 + 0. Calculate v(-5). -7 Let a = -1 + 0. Let q(h) be the third derivative of 0*h - 5/24*h**4 - 58*h**2 + 0 + 0*h**3. What is q(a)? 5 Suppose -4*k = -9*k + 35. Let f(i) = -k*i - 11 + 99*i**2 - 94*i**2 + i**3 + 15. Give f(-6). 10 Let z(a) = a**3 - 4*a - 3. Let w(y) = 3*y**3 - 2*y**2 - 3*y + 4. Let k be w(1). Let g be (-1)/k*5 - (-10)/20. Give z(g). -3 Let f(y) = y**2 - 16*y - 14. Let z be f(10). Let v = z + 74. Let p(h) be the first derivative of h**4/4 + h**2/2 - 11*h - 2. Calculate p(v). -11 Let z(r) = r**2 + r - 2. Let u(c) = -c**3 - 18*c**2 - 9*c + 9. Let b(j) = -u(j) - 5*z(j). Calculate b(-13). -51 Let x(n) = -n**3 + 32*n**2 - 34*n + 98. Let v be x(31). Let b(c) = -2*c**2 + 0*c**2 - 5*c**2 - v*c**2. Calculate b(-1). -12 Let w(k) be the first derivative of k**5/20 + k**4/12 - k**3/6 - k**2/2 + 47*k + 92. Let j(m) be the first derivative of w(m). What is j(2)? 9 Suppose -3*l = 10*l - 39. Let b(a) = 9 - 4*a - 6 - l*a + 5*a. Give b(0). 3 Let w(r) = 22*r - 12. Suppose -5*u + 5*n = 30, -u + 4*n = n + 14. Calculate w(u). -56 Suppose 37*g + 28*g + 135 = 38*g. Let c(i) = -i**3 - 7*i**2 - 13*i - 5. Determine c(g). 10 Let p(a) = -8*a - 52. Let t be p(-8). Let u = t + -13. Let r(c) = 6*c**2 + 5*c + 2. Let q be r(u). Let j(v) = v**3 - 5*v**2 + 4*v - 2. What is j(q)? -8 Let g = -12175 + 1461001/120. Let b(y) be the third derivative of 0 + 1/12*y**5 + 1/4*y**4 + 30*y**2 - g*y**6 + 0*y**3 + 0*y. Calculate b(6). 0 Let w(v) = v**2. Let m(x) = x**3 + 15*x**2 - 13*x - 20. Let c(h) = -m(h) + 6*w(h). Suppose 15*p + 19*p = -55*p - 890. Determine c(p). -10 Let i be (-430)/(-86) + (5 + -3 - 11). Let l(v) = 13*v + 44. Give l(i). -8 Let b(p) = 4*p + 3 + p + 2 + 11*p**2 - 3*p + 7*p**3 + 7*p. Let y(r) = 6*r**3 + 10*r**2 + 8*r + 4. Let n(c) = -5*b(c) + 6*y(c). What is n(-3)? 8 Let z be 0/2 - 0/(-1). Let f(l) be the first derivative of -11*l**2/2 + 11*l + 17. Let y(n) = 18*n - 22. Let x(d) = 5*f(d) + 3*y(d). Calculate x(z). -11 Suppose 5*q + 30*q + 140 = 0. Let i be (q - (-84)/12)/((-3)/10). Let b(t) = -t**2 - 8*t + 13. Calculate b(i). -7 Let k(l) = -l**2 - 8*l - 13. Let s(m) be the second derivative of -35*m**3/6 - 126*m**2 + m - 12. Let u be s(-7). Determine k(u). -6 Suppose 0 = a + 6*a - 28. Suppose 5*l - a = 6. Let s(n) = -5*n + 0*n**l + 1 + 0*n**2 - 2*n**2 + n**2. Determine s(-4). 5 Suppose -43*y - 8*y = 12*y - 1638. Let s(v) = 7*v - 197. Calculate s(y). -15 Let x = -43 - -39. Let g(h) = 2*h**2 + 8*h + 9. Let o be g(x). Let s(a) = -2 - 3*a**3 + 2*a**2 - 5*a**3 + 3*a**2 - 3*a + o*a**3. Determine s(-5). 13 Let a(x) be the third derivative of -x**6/60 + 11*x**5/30 - x**4/24 + 3*x**3/2 - 734*x**2. What is a(11)? -2 Suppose -70 = 41*d - 55*d. Let j(y) = 35 + 25 - d*y - 85 + 56*y + 24. What is j(1)? 50 Let m = 15 + -21. Let j be (m/(-4))/(-3)*-2. Let n(r) = 3*r - 2*r + 2 + 0*r + 10 - 13 + 4*r**2. Calculate n(j). 4 Let s = -2 - -7. Let a = 54 - 59. Let w(x) = 4*x**3 + 4*x**2 + 6*x + 5. Let b(n) = -3*n**3 - 4*n**2 - 6*n - 5. Let d(j) = a*b(j) - 4*w(j). Calculate d(s). 10 Suppose -3*w = -4*w - 3*b + 15, 3*b + 21 = 5*w. Suppose 24 = -2*t + w*t. Let k(s) = s - 1. Let d(v) = 7*v - 8. Let a(z) = t*k(z) - d(z). Calculate a(-7). 9 Let w(o) = -5*o + 13. Suppose 37*h - 34*h - 12 = 0. Suppose 0 = -2*k - 2*x + 2 + 12, 0 = -h*k - 3*x + 25. Give w(k). -7 Let p(x) = -28*x - 322. Let g be p(-12). Let j(b) be the third derivative of b**6/120 - 13*b**5/60 - 5*b**4/8 + 7*b**3/3 - 8*b**2. Determine j(g). 0 Let w = 393 + -390. Let k(p) = p**2 - 7*p - 3*p**2 + 4*p + 1. Let j(v) = 5*v**2 + 5*v - 3. Let b(c) = w*j(c) + 7*k(c). Give b(6). -2 Suppose 4*p + 2*l = 2, -8*p + 4*p - l = 3. Let h be 0 - -6 - p*(-4 + 2). Let u(j) = 3*j - 2 + 8*j**2 - 10*j**2 + 3*j**h. Give u(-4). 2 Suppose 7*r - 12 = 5*r. Suppose r = 2*b + 2. Let f(z) = -5 + 0*z - 5*z + 42*z**2 - 41*z**b. Give f(6). 1 Let c(z) = 105*z**3 - 7*z**2 + 8*z. Let v(o) = 106*o**3 - 8*o**2 + 9*o. Let y(m) = 7*c(m) - 6*v(m). Give y(1). 100 Let u(w) = -w**3 - 5*w**2 - 5*w - 3. Let x be u(-4). Suppose -2*h = -h - 2. Let m(l) = 2*l + 8 + 8*l**2 + h + l**2 - 11. Calculate m(x). 10 Let g = 1947 + -1941. Let d(b) be the third derivative of -b**4/6 - 7*b**3/6 + 2*b**2. Determine d(g). -31 Let v(o) = o + 38. Let y(s) = 12*s + 151. Let b(i) = 10*v(i) - 2*y(i). Calculate b(6). -6 Let k(i) = -i - 18. Let s be k(-13). Let b(g) = -76*g**2 - 76*g**2 - 9*g + 310*g**2 + 11 - 79*g**2 - 81*g**2. Determine b(s). 6 Let k(q) = 2*q**3 - 38*q**2 + 10*q - 43. Let y be k(19). Let i(d) = -4*d**3 + 5*d + 145*d**2 + 5*d**3 - y*d**2 - 4*d - 7. Calculate i(3). 5 Let b(o) = 3*o + 3 - 5*o**2 - 12*o + o**3 + 6 - 5. Suppose 15*l - 108 = 14*l - 17*l. Give b(l). -14 Let z(h) be the third derivative of -h**6/60 - h**5/12 + h**4/24 + 3*h**3/2 + 42*h**2 + 21*h. What is z(-3)? 15 Let j be -2 + (-32)/(-2)*(-2)/4. Let b = -16 - j. Let c(z) = -4*z**2 - 6*z - z - 5 + 3*z**2. Determine c(b). 1 Let j(r) = r**2 + 5. Let w(o) = 6*o + 92. Let q be w(-15). Suppose q*d = -5*x - 2 + 27, 2*d = -2*x + 10. Determine j(d). 5 Let s(f) = f**3 - f**2 - 3*f - 3. Let j(o) = o**3 - 24*o**2 - o + 27. Suppose -2*h - 3*h = -240. Let d be 99/4 - 36/h. Let y be j(d). What is s(y)? 6 Let n(c) = 6*c**2 - 11*c + 51. Let v be n(6). Let i(s) = 104 + 7*s - v + 94. Let x = -3 + 6. Give i(x). 18 Let o(u) = -3*u. Let f(j) = -j**3 + 6*j - 161. Let s be f(0). Let k = 164 + s. Determine o(k). -9 Suppose -5*w + 6 = 3*l, 3*l = l + 5*w + 4. Let n(i) be the first derivative of 1/2*i**2 - 34 - i + 2/3*i**3. Calculate n(l). 9 Let q(f) be the third derivative of -f**5/60 - f**4/8 - f**3/3 - f**2. Let o(j) = 34*j - 1059. Let b be o(31). Give q(b). -12 Let t = 266 - 428. Let g = t + 151. Let z(y) = -y**2 - 12*y. Calculate z(g). 11 Let f = -118 - -125. Let t(x) = -x + x + x - 7*x + 10 + 3*x. Determine t(f). -11 Let g(u) = 2*u + 7. Let k be g(6). Let z(m) = k - m + m**2 + 11 - 8. Suppose 6*h + 54*h - 148*h = 156*h. Determine z(h). 22 Let x(b) = b - 17. Let z(o) = -4*o - 8 + 7*o - 6*o + o. Let s be z(-7). Let n(l) = -l**2 + 5*l + 15. Let y be n(s). Give x(y). -8 Let j(z) be the first derivative of 11*z**2/2 + 51*z - 258. Let s be j(-5). Let o(g) be the first derivative of -g**3/3 - g**2 - g + 1. What is o(s)? -9 Let w(c) be the second derivative of 27 - 1/2*c**3 - 29/2*c**2 - 3*c. Give w(-9). -2 Let y(k) = 30*k - 211. Suppose 0 = -4*g - 28, -21*v - 70 = -27*v + 4*g. Give y(v). -1 Let o = 12 + -9. Let b(n) be the first derivative of 1/3*n**3 + 3 - 4*n - 3/2*n**2. Give b(o). -4 Let v(p) = -13*p - 4. Let o = -17 - -17. Suppose -2*g - 2*l + 4 - 2 = 0, -2*l + 10 = o. Let f(d) = -3*d - 1. Let s(t) = g*v(t) + 18*f(t). Give s(4). -10 Let t(u) be the first derivative of 8 - 1/3*u**3 - u + 1/2*u**2. Calculate t(-3). -13 Let w(j) = -480 + 117 + j**3 + 115 + 118 + 119 - 17*j**2 + 18*j. What is w(16)? 21 Let t(w) be the first derivative of w**2/2 - 9*w + 2108. What is t(3)? -6 Let s be (-2)/6 + (-1159)/(-57) + -23. Suppose 5*j + 25 = 4*d, -4*d = -9*d + j + 5. Let r(h) = h**3 - 3 + 0*h**2 + 4*h**2 + d + 3*h. What is r(s)? -3 Suppose 4*h + 910 + 2738 = 0. Let d be h/(-128) + 2/(-16). Suppose p - 8*p = d. Let i(z) = 6*z - 1. Determine i(p). -7 Let a(s) = 18 + 20 + 23 - 9*s - 69 + 14. What is a(-8)? 78 Suppose 213 = -3*q + 261. Let p be (-3)/(-1)*4/6. Suppose p*z = -j + 5*j + 24, -4*z = -q. Let l(x) = x**3 + 5*x**2 + 6*x + 3. Determine l(j). -5 Let m(o) = 3*o**2 + 69*o - 89. Let q be m(-24). Let f(s) = s + 6. Give f(q). -11 Let k(b) be the second derivative of -b**5/20 - 7*b**4/12 - 5*b**3/6 + b**2 + 322*b. Give k(-7). 37 Let c(s) = s**3 + 2*s**2 - 2*s + 3. Let f(v) = 9*v + 33. Let y = -347 - -343. Let r be f(y). Give c(r). 0 Suppose -r = -2*t + 2, -4*r - 57*t = -52*t - 18. Let c(o) = -1117*o - 4*o**2 - o**2 + 2*o**r - 54*o**3 + 2*o**2 + 1116*o. Calculate c(-1). 54 Let x(l) = -8*l + 1 - 4*l**2 - 5*l**2 - 8 + 7*l**2. What is x(-5)? -17 Let v(t) = -9*t**2 - 17*t - 811. Let g(k) = -11*k**2 - 16*k - 806. Let r(x) = 5*g(x) - 6*v(x). What is r(42)? -4 Let q(g)
{ "pile_set_name": "DM Mathematics" }
base 14, what is 26343 - -23? 26366 In base 2, what is 1110 + -10100101110100? -10100101100110 In base 7, what is 112 - 12136? -12024 In base 16, what is -a03ca + -5? -a03cf In base 11, what is -25 - -1574? 154a In base 3, what is -2110222202 - 1? -2110222210 In base 6, what is 10255 - 212? 10043 In base 10, what is -3 + 38441? 38438 In base 14, what is -34 - 571? -5a5 In base 11, what is 5 - -28434? 28439 In base 4, what is 1013012 + -33000? 320012 In base 7, what is 5 - -2640610? 2640615 In base 3, what is 10 + 200220021002? 200220021012 In base 10, what is 3 - -10925? 10928 In base 5, what is -324331 + -3? -324334 In base 6, what is 2 + 234022? 234024 In base 9, what is -5 + -768017? -768023 In base 5, what is -24 - 43132? -43211 In base 15, what is 941 + -2e? 912 In base 10, what is 21921 - -50? 21971 In base 9, what is 20 - -15270? 15300 In base 6, what is 144005 + 10? 144015 In base 7, what is -3 - -160656? 160653 In base 10, what is -2 + -214525? -214527 In base 16, what is 1d5 + ef? 2c4 In base 15, what is -182 - -eb? -86 In base 9, what is -2420 + -1520? -4040 In base 11, what is -84535 - -4? -84531 In base 5, what is 0 + 142331? 142331 In base 7, what is -10451 + -310? -11061 In base 16, what is -4 + -48ea? -48ee In base 15, what is -31 + -3c? -6d In base 14, what is -1c0a + 26? -1bc4 In base 15, what is 12 - ae? -9c In base 5, what is 34 - 224000? -223411 In base 6, what is 41302 - -4? 41310 In base 4, what is 2 - -1212110? 1212112 In base 16, what is -3c9 + -1a? -3e3 In base 5, what is -1003410323 - -2? -1003410321 In base 4, what is 3 - -32310022? 32310031 In base 13, what is -1508a - 5? -15092 In base 16, what is e887 + 29? e8b0 In base 7, what is 234 + -2636? -2402 In base 11, what is -4 - -42391a? 423916 In base 6, what is 1154411 - 2? 1154405 In base 15, what is -58 - -3a0? 347 In base 10, what is 1462311 + -1? 1462310 In base 10, what is 40 - -3373? 3413 In base 11, what is -3 - 37a851? -37a854 In base 11, what is 5 - -13573? 13578 In base 3, what is -2 - 110202010000? -110202010002 In base 11, what is -1669 + -2a7? -1965 In base 11, what is -213 - -476? 263 In base 3, what is 20 + -222? -202 In base 2, what is 11000001011101 + 10? 11000001011111 In base 2, what is -100011000 + -1000011? -101011011 In base 14, what is 56 + 1? 57 In base 15, what is a806 + -3? a803 In base 3, what is 200000 - -112011? 1012011 In base 2, what is -100110 + 1010110000? 1010001010 In base 13, what is -471 + 85? -3b9 In base 5, what is 10 + -440400000? -440344440 In base 8, what is 2 + -61514? -61512 In base 7, what is -1663 + -1026? -3022 In base 12, what is -17b47 + 4? -17b43 In base 8, what is 3 - -571312? 571315 In base 11, what is -80643 - 8? -80650 In base 4, what is -222312 - 1102? -230020 In base 10, what is 1788 - 17? 1771 In base 9, what is -14743 + -226? -15070 In base 4, what is 12 - -12121203? 12121221 In base 14, what is 2 + -5b327? -5b325 In base 4, what is -2032 - -332? -1100 In base 16, what is -6 - f40? -f46 In base 10, what is 0 - 62338? -62338 In base 7, what is 54 - 160043? -156656 In base 7, what is -3 - -16633? 16630 In base 8, what is 154 + -4414? -4240 In base 7, what is 3 + 412633? 412636 In base 13, what is -25 + -438? -460 In base 8, what is -13662 - -160? -13502 In base 14, what is 5bbd + 11b? 5cda In base 8, what is -1 - -3012217? 3012216 In base 7, what is -6 + 51442? 51433 In base 9, what is 73577 + 4? 73582 In base 16, what is -10449 + 1? -10448 In base 16, what is -c9 + -962? -a2b In base 5, what is -33 - -10110103? 10110020 In base 12, what is 243 - 59? 1a6 In base 10, what is -24991 - 5? -24996 In base 14, what is -64291 - 4? -64295 In base 6, what is 5 + 121000? 121005 In base 8, what is -61 + 1526? 1445 In base 14, what is 3102 + 10? 3112 In base 7, what is 4 + -33323? -33316 In base 14, what is 365 + 2827? 2b8c In base 4, what is 300 + 1321231? 1322131 In base 3, what is -212202002202 + 12? -212202002120 In base 4, what is 10231231 + -10? 10231221 In base 3, what is -212210 - 201211? -1121121 In base 11, what is -4 + -7864? -7868 In base 9, what is -602 - 46? -648 In base 10, what is -28 - -1912? 1884 In base 2, what is -100 + 100110110110? 100110110010 In base 14, what is -1680d - 8? -16817 In base 13, what is b9a - -25? bc2 In base 11, what is -738 - -a? -729 In base 16, what is -5 + -7bb9? -7bbe In base 13, what is -b67 + 0? -b67 In base 4, what is 2 + 133322011? 133322013 In base 5, what is -101023 - -10? -101013 In base 12, what is -1636 - 195? -180b In base 7, what is 6 - -111200? 111206 In base 7, what is -2 + -14033? -14035 In base 11, what is 46a + 253? 712 In base 3, what is 110120 - 1200? 101220 In base 7, what is -13020 - 21? -13041 In base 9, what is -73234 - -3? -73231 In base 7, what is 5165 - -43? 5241 In base 5, what is 2423234043 - 0? 2423234043 In base 15, what is 3021 - 2a? 2ee6 In base 10, what is 10 - 13483? -13473 In base 4, what is -10 - 3030330? -3031000 In base 11, what is -1a458 - -9? -1a44a In base 10, what is 4 + -202373? -202369 In base 4, what is -321120133 + -10? -321120203 In base 8, what is 775 + 1? 776 In base 4, what is 0 + 213031103? 213031103 In base 11, what is 91a - 4? 916 In base 4, what is 2303 + -12001? -3032 In base 2, what is 1101 + 111100011010101? 111100011100010 In base 3, what is 11 + 202002222? 202010010 In base 2, what is -1001111 + 100000000? 10110001 In base 10, what is -5 - -68089? 68084 In base 3, what is -1011202021 - -112? -1011201202 In base 4, what is 2 + 1311003132? 1311003200 In base 14, what is -12 - -6d6a? 6d58 In base 6, what is 325 - 21434? -21105 In base 12, what is 212 + -1b63? -1951 In base 14, what is -7 - -204a? 2043 In base 10, what is -909 - 2471? -3380 In base 8, what is -2 - -6630? 6626 In base 6, what is -1 - -4023355? 4023354 In base 2, what is 10010110 + 100011001101110? 100011100000100 In base 4, what is -10 + -1233311? -1233321 In base 12, what is 1466 - -27? 1491 In base 14, what is -145c8 + -18? -14602 In base 10, what is -3598 - 10? -3608 In base 16, what is 5 + 1cee? 1cf3 In base 13, what is -24 + 1143? 111c In base 8, what is -1 - -6761? 6760 In base 9, what is -1254 - -130? -1124 In base 2, what is 100100111 - 111011? 11101100 In base 11, what is -1 - -9a80? 9a7a In base 2, what is -11111111101000101 + 11? -11111111101000010 In base 8, what is 163 + -44? 117 In base 14, what is -6019 + -1b? -6036 In base 15, what is 1c + -598? -57b In base 3, what is 20 + -21121012? -21120222 In base 8, what is 247643 - 14? 247627 In base 13, what is 213b5 + 2? 213b7 In base 9, what is 5825 - 22? 5803 In base 5, what is 121 - 3123034? -3122413 In base 12, what is -7962 + 175? -77a9 In base 6, what is -1222 - 312? -1534 In base 15, what is -695 + -e? -6a4 In base 8, what is 2130 + -140? 1770 In base 11, what is 10 - 183? -173 In base 8, what is 3 - -510735? 510740 In base 14, what is 4 + -34d76? -34d72 In base 9, what is 4 - -5360? 5364 In base 13, what is 412 + 22? 434 In base 16, what is 35c2 + 7c? 363e In base 4, what is 12113 - -101112? 113231 In base 4, what is 13032 - 1123313? -1110221 In base 12, what is 6 - 177b12? -177b08 In base 12, what is 1b + a2759? a2778 In base 6, what is -2105 + 2230? 121 In base 16, what is 61ef + -26? 61c9 In base 3, what is -10202 - 10? -10212 In base 13, what is -b7c - 331? -11b0 In base 6, what is -21021 + 21? -21000 In base 2, what is 101011 - -1001000000? 1001101011 In base 9, what is 122 - -1468? 1601 In base 6, what is -125530 - 130? -130100 In base 10, what is 1 + -291? -290 In base 14, what is -3 + 6902? 68dd In base 3, what is -10 - -111020120202? 111020120122 In base 7, what is 245235 + 2? 245240 In base 2, what is 10101010101111111100 + 100? 10101010110000000000 In base 14, what is 46 + 18809? 18851 In base 12, what is -3080 - -1b? -3061 In base 6, what is 5 - 1104525? -1104520 In base 4, what is 2012 - 100120? -32102 In base 2, what is 100101 - -10010011011? 10011000000 In base 16, what is -6a74c + 5? -6a747 In base 10, what is 12178 - 2? 12176 In base 6, what is 1524152 + 3? 1524155 In base 9, what is -1 + 21433? 21432 In base 6, what is 2232 - 14? 2214 In base 6, what is 12 + 54104? 54120 In base 14, what is 2a0 - 33c? -7c In base 8, what is -1547247 + 5? -1547242 In base 6, what is 104 +
{ "pile_set_name": "DM Mathematics" }
r d. 4 Suppose -4*i = -3*i - 12. Suppose 5 = 5*l - 5, 2*g - i = -3*l. Solve 3*t = -2*b - 7, g*t - 18 = 6*b - 3*b for b. -5 Let n be 40/7 - ((-45)/35 - -1). Let q = 1 + 2. Let k = -2 + q. Solve 5 = 5*t - 5*v, n + k = 3*t - 4*v for t. -3 Suppose 20 = -5*p, -4*p + 20 = 4*d - 9*p. Suppose -3*x + 4*i + 11 = d, x = -x - 2*i - 2. Let w be (x - (1 + 3))*-7. Solve 12 = 3*o + g, -o - 3 = 5*g - w for o. 3 Let i be (-2)/4 + (-21)/(-6). Suppose i*l - 11 = -w, 14 = 2*l + w + 5. Solve -5*o + 0*a + l*a = -13, -17 = -o + 4*a for o. 1 Let o(s) = 6*s - 6. Let x be o(4). Suppose -2*u + n - x = -5*u, 6 = 3*u - 3*n. Solve 3*j = 5*k - 28, u*k - 3*j + 4*j - 24 = 0 for k. 5 Let o(b) = 2 - 3 - b + 2. Let w be o(-6). Let t = w - 2. Solve -d - 8 = 5*h, 2*d = t*d + 9 for h. -1 Let f be 112/6 - (-6)/(-9). Suppose -3*h + f = -0*h. Solve 2*t + l = -0*l - h, -5*l - 12 = 4*t for t. -3 Suppose 5 = 5*q - 5. Let d be ((-1)/(-2))/(1/q). Suppose -d = 5*f - 11. Solve -2*g - 4 = 2*k, f*g - 5*k - 20 = -k for g. 2 Let z(d) = d**2 - 7*d - 4. Let u be z(8). Solve u = 2*n, -2*l = -7*l + 2*n - 14 for l. -2 Suppose 6*f = f + 20. Suppose -j + 40 - 12 = f*k, 2*j + 3*k = 31. Suppose 0 = 4*i + 4*t - j, -t = 3*i + 3 - 5. Solve 1 = s - 3*o - 7, i = s + o - 4 for s. 5 Let a(d) be the first derivative of -d**2/2 - 5*d + 5. Let b be a(-6). Solve 4*x = 3*u - 1, -x + b = u - 2*u for x. -4 Let v(s) = 3*s**2 + 5*s + 2. Suppose 0 = -c - 2 - 0. Let o be v(c). Solve o*z + 6 = 2*d, -6*z + 2*z - 5*d = -29 for z. 1 Suppose -2*t - 4*v + 2 = -0*t, 2*t = -5*v + 1. Solve l = 4*d - t, -d + 0*d + l = 3 for d. 2 Suppose 3*f - 4*o = -7*o + 111, -f + 2*o + 37 = 0. Solve n + 5*z = -0*z + 22, -4*n - f = -5*z for n. -3 Let n be (-2)/(-5) - (-84)/(-10). Let k be n/(-10)*10/4. Let x be 39*(-2 - (-14)/6). Solve 3*c + 15 = 0, -6*d + c = -k*d - x for d. 2 Let v(m) = m**2 + 9*m + 2. Let q be v(-9). Suppose -q*d - d = 5*g - 20, -5*d + 2*g - 8 = 0. Solve 17 = -d*h - 5*h - 2*f, h - f = -9 for h. -5 Let w = 1 + -4. Let c(y) be the second derivative of y**5/20 + y**4/3 + y**3/6 + y**2/2 - 4*y. Let j be c(w). Solve -2*v = 5*l - j, 19 = -v + 2*l + 3*l for v. -4 Let j = -1 + 1. Suppose w - 3*u + 9 + 6 = j, 4*w = 3*u - 15. Suppose w*o = -3*o + 18. Solve o = 4*k + s, -2 = -2*k - 4*s + 8 for k. 1 Let g be 8/(-12) - (-1)/(-3). Let j(f) = f + 8. Let s be j(-9). Let z be g + (s - -1) - -4. Solve -2*c - 7 = -4*t + z*c, -3*t = -c + 3 for t. -2 Let n = -2 - -4. Let l = -23 - -23. Let b be (-2 - 14/(-6))*9. Solve l = -k - 3*c + 5, n*c - 1 = b*k + 17 for k. -4 Let i = 22 - 22. Solve 2*a + 14 = 2*j, i = 2*j - 4*a - a - 29 for j. 2 Suppose 0 = k + a - 3, -5*k + 12*a - 14*a = -12. Let y be (0 - -1 - 1)/2. Solve -4*p - c + 25 = y, -3*c - k = -5*p + 8 for p. 5 Suppose -3*s + 4*y + 32 = s, 4*s + 4*y - 72 = 0. Solve 2*o - l = 5, 0 = -2*o - 3*o + 3*l + s for o. 2 Let n(h) = -h**3 - 11*h**2 + 2. Let a be n(-11). Solve 2*l = -3*l + w - 11, -a = 2*l + 2*w for l. -2 Suppose 0 = 4*i + 2*k + 2, i - 2*i - 1 = k. Suppose 3*w + 2*w + 4*r - 42 = i, -4*r = -2*w. Solve 2*n - 4*z = 0, -6*n - 2*z + w = -4*n for n. 2 Let z = 1 - -1. Suppose -5*h + 15 = z*g - 10, 9 = -2*h + 3*g. Suppose 3*r = u - 3*u - h, 5*u + r = 12. Solve -u*x - 6 = -4*p, -9 = -3*x - p - 0*p for x. 2 Let t be -2 - (-5 + 3) - -13. Let g = t - 10. Solve 2*k = -s, s + g*k + k = 0 for s. 0 Suppose -4*k - 4*p + 0 = -8, 4*p = -k + 2. Suppose o + 1 = u, k*o - 9 = -o. Solve u*z - 4*r - 1 = 3, 0 = -r - 1 for z. 0 Let t(r) = r - 12. Let o be t(14). Solve 3*c - 4*g + 17 = -o*c, 2*g = 5*c + 11 for c. -1 Suppose u = -3*u + 8. Solve -s + 4*i + i = 7, -s = -u*i + 4 for s. -2 Suppose 7*c = 3*c - 72. Let n be 48/(-18)*c/(-4). Let i = -1 - n. Solve r + 18 = -4*t - r, -2*t - 3*r - i = 0 for t. -4 Let m be 0 - 5/((-10)/4). Suppose w = m*o + 1 + 3, 11 = 2*w - o. Let b(d) = -d**2 + 9*d - 9. Let t be b(w). Solve -3*y + 6 = 2*s + 13, -y = -5*s - t for s. -2 Suppose -17 = -9*x + 28. Solve 0*d - d = x, 0 = -q + d + 5 for q. 0 Let u = 8 + -6. Suppose 0 = -0*n - u*n + 6. Solve -20 = -4*c, n*c - 4*c + 9 = -o for o. -4 Let b(l) = -2*l - 2. Let n be b(-4). Let s be -6*1*(-3)/n. Solve 2*c + s*d = -0*d + 3, 4*d - 4 = -3*c for c. 0 Let o be -2 + (5 - 2) + -1. Suppose o*r + 15 = 3*r. Solve -b + 14 = r*l, 4*l = -5*b - 13 + 41 for l. 2 Let f be 2*(-1 - (-45)/6). Suppose -4*l = -11 - f. Solve 5*j = d + 2*d - 24, -d + l = -j for d. 3 Suppose 4*o - 14 - 2 = 0. Suppose y + 1 = -o*y + c, 4*c = -2*y - 18. Let k = 3 + y. Solve -2*n = -k*w + 8, -2*w = 2*n - n + 4 for w. 0 Suppose -d - 3 = -0, -14 = 2*c + 2*d. Let a = -2 + 10. Let g = c + a. Solve -4*w - g*b = w + 12, -3*w = 5*b + 15 for w. 0 Let d(t) = -2*t - 3. Let y be d(-4). Solve -4*w + 5*r + 3 = 0, -5*r - 2 = -w - y for w. 2 Suppose -v = o - 5, 0 = 4*v - 0*v - o - 15. Solve 5*r - v*n + 7 = 0, r - 5*n - 2 = -16 for r. 1 Suppose 0 = -5*y + 4*y + 6. Solve -3*f = -y*m + 2*m - 11, -5*m = -5*f + 10 for f. -3 Suppose 5*z - 64 + 49 = 0. Let f be 16/6 + (-2)/(-6). Solve q + 9 = 3*j - 4*q, -z*j + 9 = -f*q for j. 3 Suppose 0 = -2*w + 6*w. Let b be (-14 + w + -1)/(-1). Solve -b = 3*d - 3*t, 2*d + 0*t + 5*t = 4 for d. -3 Suppose 0 = -4*k + 72 - 20. Suppose -2 = -3*w - 5*y, -4*w + 7*y - 4*y + 51 = 0. Solve -k = 2*m - w*l + 4*l, l - 4 = -m for m. 1 Let f(k) = -30*k - 13. Let z be f(-1). Solve 5*n + 8 = -2*c - z, -21 = 3*c + 2*n for c. -5 Let q be (-8)/(-6)*36/6. Solve 2*f = 5*l - 1 - q, 0 = -4*l + f + 9 for l. 3 Suppose 5*g - 3*r + 27 = 0, -r + 17 = -4*g + 1. Let n be g/12 + (-36)/(-16). Solve 3*l - 6 = l + p, l = -n*p + 8 for l. 4 Let d = 40 - 38. Solve -22 = 3*x + 5*w, -7*w - 10 = -d*w for x. -4 Let s(d) = -d**2 - d. Let l be s(-2). Let n = 6 + l. Solve -3*b - 2*a + 1 + 18 = 0, n = 2*b - 3*a for b. 5 Suppose 2*o = -2 + 10. Solve -4*m = -4*p + 2*p + 26, 2*m - 12 = -o*p for m. -4 Suppose 5*j = -7*g + 3*g + 31, 0 = -5*g - 4*j + 32. Solve -3*p - 4*o - 11 = 0, 35 = 5*p - g*o - 0*o for p. 3 Let r be -1 - ((-26)/1)/1. Let j = r - 8. Solve -2*q - 3*t + 11 = -6*t, 3*t + j = -q for q. -2 Suppose -o + 16 = 3*o. Solve 1 = r + 2*b + 2, -2*b = -o*r + 26 for r. 5 Let b(k) = -k**3 + 4*k**2. Let r be b(4). Suppose -4 = 3*o + 5*s - r, -2*o = 3*s + 2. Let f = -42 + 48. Solve f*c - 3*c + o*d = 12, 2*c - d - 1 = 0 for c. 2 Suppose 3*x + x = -2*n + 60, 2*x = 3*n + 46. Let f = x - 10. Solve -2*r + f - 1 = -p, -14 = p - 4*r for p. 2 Suppose -x - 10 = -6*x. Solve -5 = v, x*v + 2 = 3*d + v for d. -1 Let o = 37 - 21. Let t(i) = -i + 9. Let u be t(7). Suppose -u = -2*k + 8. Solve -5*s - c = -19, -4*s + o = -4*c + k*c for s. 3 Let o(s) = 23*s + 1. Let a be o(3). Suppose 3*q + a = 5*j, 0 = 2*j - 3*q - 0*q - 28. Solve -j = -5*m + k - 37, 4*m + 18 = k for m. -5 Let z = 34 - 34. Solve -5*s + 0*h + h - 19 = z, 4*h = s for s. -4 Suppose n + 11 = 3*n - 5*w, n = -3*w. Solve 3*r = -2*d - 14, -3 = n*d - 0*d for r. -4 Let l(x) = 7*x**2 - x. Let u(y) = 4*y + 3*y**3 + 5*y**2 + 0*y**3 - 2*y**3 + 1. Let j be u(-4). Let s be l(j). Solve s = -2*n - 3*i, 3*n + n = 3*i - 12 for n. -3 Let z be ((-3)/(-6))/((-1)/(-12)). Let o = 11 - z. Solve -1 = 2*y + 2*p + 5, 4*y + 12 = -o*p for y. -3 Let r be (-15)/5 - (0 - 3). Let a = r - -3. Solve 0 = 4*v - a*v + 3*u - 5, -3*v = -5*u + 27 for v. -4 Suppose 3 = -2*k + 9. Solve -k*u + 12 = 2*p, 5*p + 5*u = 16 + 9 for p. 3 Suppose 7*i = -0*i + i. Solve 0 = -4*z - 0*z + 4*w - 8, -z - 2*w - 11 = i for z. -5 Let d be (0 + -1)*(0 - -4). Let t = d + 1. Let w be 36/30*(-10)/t. Solve c - w = -4*g - 16, -3 = g for c. 0 Suppose 4*c - 32 = -3*q - 0*c, -2 = 2*c. Solve -3*v + q - 4 = k, 4*v + 2*k = 14 for v. 1 Suppose -6*l = 2*l - 24. Solve 0*z + 13 = -3*b - 2*z, 15 = -3*b - l*z for b. -3 Suppose 60 = 3*w + 2*b - 0*b, 2*w - 2*b - 40 = 0. Suppose 4*a + a + 5*c = w, -2*a + c = -5. Solve 2*m = -2*r + 8, -5*m = a*r + 2 - 12 for r. 5 Let h(w) = -w. Let u be h(-4). Let d(i) = -i**2 + 7*i + 4. Let f be d(7). Let j = -36 - -36. Solve 0 = f*s - u*k - 20, j*k = k for s. 5 Let s be 100/(-6)*3/(-2). Suppose 0 = -4*j - j + s. Solve 20 = 2*y + 5*w, y - 4*y - 20 = -j*w for y. 0 Suppose 5*k + 3 - 13 = 0. Suppose -3*p = -p - 20. Solve 2*a = q + 8, 0 = -a - a + k*q + p for a. 3 Let z(l) = -2*l - 9. Suppose -d = -c - 3, 4*d + 6 = c - 0*c. Let n be z(c). Solve 5 - 11 = 5*x - n*p, -4 = -2*p for x. 0 Suppose -2*k = -7*k + 15. Solve 3*u + 0*a +
{ "pile_set_name": "DM Mathematics" }
-190620*v**2 What is the second derivative of 1042*b**3*l + 3*b**3 - b**2*l - 5*b**2 - 19174*b*l + b wrt b? 6252*b*l + 18*b - 2*l - 10 Find the second derivative of -3*b*j**2 + 2*b - 16731*j**2 - 12098*j wrt j. -6*b - 33462 What is the second derivative of -245244*o**3 + 514*o + 217 wrt o? -1471464*o Differentiate 212*f**3*n*o + 237*f**3*n + 2*f**3*o + 11*f**3 - 122*f**2*o with respect to n. 212*f**3*o + 237*f**3 What is the third derivative of 25*b**5 - 19867*b**3*j + 262*b**2*j + 215*b**2 - 2*b*j + 4*j wrt b? 1500*b**2 - 119202*j Find the third derivative of -31882*j**4 + 239*j**2 + 12. -765168*j Find the second derivative of 614891*y**5 + 59023*y - 3 wrt y. 12297820*y**3 Differentiate 6724*g + 249431 with respect to g. 6724 What is the third derivative of 1179*k**2*o**2*w**3 + 4*k**2*o**2*w**2 - 2*k**2*o**2 + 24*k**2*w**3 - 2*k**2 + o**2 + 1 wrt w? 7074*k**2*o**2 + 144*k**2 What is the third derivative of -1312955*r**6 + 2*r**4 - 2*r**2 - 3015447 wrt r? -157554600*r**3 + 48*r Differentiate 365*i**3 - 683*i**2 - 2*i - 2387001. 1095*i**2 - 1366*i - 2 What is the second derivative of -451433*v**2 - 2015180*v? -902866 Find the third derivative of 2*o**4 - 661331*o**3 - 16643*o**2 - 2*o - 5 wrt o. 48*o - 3967986 Find the third derivative of 292*q**4*t**3 + 2*q**3*t**3 + 63*q**3*t - 3547*q**2*t**3 + 28*t**3 wrt q. 7008*q*t**3 + 12*t**3 + 378*t Find the second derivative of 1504729*c**2*d**2 + 3*c**2*d - 13*c**2 - 2*c*d + 1944*c wrt d. 3009458*c**2 What is the derivative of -80010*y + 6089? -80010 Find the third derivative of 462*j**4 + 24*j**3 - j**2 + 20105*j. 11088*j + 144 What is the first derivative of o**3 + 362*o + 32235 wrt o? 3*o**2 + 362 What is the second derivative of -123635*b**2 - 493999*b? -247270 Find the second derivative of 1985*h**4 - 2*h**3 + 12*h**2 - 22*h - 2224 wrt h. 23820*h**2 - 12*h + 24 Find the first derivative of 78*k**4 + k**3*y - 7*k*y**2 - 3577*y**2 - 5*y wrt k. 312*k**3 + 3*k**2*y - 7*y**2 What is the second derivative of -5062*q*s**3 - 1437*q*s + s**3 - 4 wrt s? -30372*q*s + 6*s Find the second derivative of -91603*p**2 - 13356*p wrt p. -183206 What is the first derivative of 2*y**2 + 63808*y - 2177809? 4*y + 63808 Find the second derivative of -2973*m**3 - 2*m + 2932 wrt m. -17838*m What is the second derivative of -192*d**3 + 1132*d**2 - 416163*d? -1152*d + 2264 What is the third derivative of -2*p*z**6 - 10892*p*z**4 - 21212*p*z - z**3 - 2*z**2 wrt z? -240*p*z**3 - 261408*p*z - 6 Find the first derivative of -50620*x + 65282. -50620 Find the second derivative of -177*h**3 + h**2 - h - 53521. -1062*h + 2 Differentiate j**2 + 25862*j - 218076 wrt j. 2*j + 25862 What is the first derivative of -281180*f**4 + 145672? -1124720*f**3 Find the third derivative of -108169*q**3 + 164709*q**2. -649014 What is the derivative of 372785*a*o*u - 3*o*u - 19*o - 71*u - 10 wrt a? 372785*o*u Find the first derivative of -c**3 + 638*c**2 + 156*c + 2516978 wrt c. -3*c**2 + 1276*c + 156 Differentiate 2760*d**4*s**3 + 8*s**3 - s + 48 with respect to d. 11040*d**3*s**3 What is the second derivative of 24673*f**2 + 1287*f - 10 wrt f? 49346 Find the third derivative of -85754*o*r**3*s**4 + 7964*o*r**3*s**2 + 3*o*r**3 + 23*o*s**4 + 17*o*s + 2*r**3 wrt s. -2058096*o*r**3*s + 552*o*s Find the second derivative of 74*j**2*l**2 + 678118*j**2*l + 9*j*l**3 + 2*j*l - 142*l**2 wrt l. 148*j**2 + 54*j*l - 284 What is the first derivative of 126561*h**2*i - 3*h*i**2 + 52778*i**2 - 2*i - 3 wrt h? 253122*h*i - 3*i**2 Find the second derivative of -274*c**2*g**3 + 77*c**2*g*j + 2*c**2*j + 2*c**2 - 4*c*g**2*j + 4*c*g*j - c - g**3 wrt c. -548*g**3 + 154*g*j + 4*j + 4 What is the first derivative of 654*t*u + 66601*t - 10*u wrt u? 654*t - 10 Find the second derivative of -6*j**2*n**2*w**2 - j**2*n**2 + 9*j**2*n*w - 622*j*n**2*w + 181884*n**2*w**2 + 7*n**2*w wrt w. -12*j**2*n**2 + 363768*n**2 Find the third derivative of 3313256*i**4 + 787934*i**2. 79518144*i Find the third derivative of -555387*x**3 - 87933*x**2 wrt x. -3332322 Find the second derivative of -860*p**2*s**3 + 85*p**2*s + 3*p*s**3 + 12*p*s**2 + 30*s**2 wrt p. -1720*s**3 + 170*s Find the second derivative of -9866*q**5 - 5*q**4 - q**2 + 425359*q wrt q. -197320*q**3 - 60*q**2 - 2 What is the third derivative of 4*g**6 - 1053*g**4 + 4*g**3 + 30737*g**2? 480*g**3 - 25272*g + 24 Find the first derivative of 3*a**4 + 3160*a**3*w + 3*a + w - 144869 wrt a. 12*a**3 + 9480*a**2*w + 3 What is the third derivative of 84*j**5 - 5936*j**4 + 899753*j**2 wrt j? 5040*j**2 - 142464*j What is the second derivative of -1033*t**2 - 293*t - 88 wrt t? -2066 What is the second derivative of 206060*n**4 + 2*n**2 + 228*n + 475 wrt n? 2472720*n**2 + 4 What is the second derivative of -2791*u**4 + 202*u**2 + 2086576*u wrt u? -33492*u**2 + 404 Differentiate 4*t**3*w + 2*t**3 + 73*t**2*w + 4*t**2 - 11*t*w + 2*t - w - 7337 with respect to w. 4*t**3 + 73*t**2 - 11*t - 1 Find the third derivative of 2*u**6 - 10689*u**5 - 11716*u**2 + 4 wrt u. 240*u**3 - 641340*u**2 Find the third derivative of 205*f*h**2*k**3 - 3*f*h**2*k + 56*f*k**3 + 3*f*k**2 + 3217*h**2*k**2 wrt k. 1230*f*h**2 + 336*f Find the third derivative of -2*b**4 - 451840*b**3*n + 219*b**2*n + 2*b**2 + b*n + 802 wrt b. -48*b - 2711040*n Find the third derivative of 2*b**4*t - 274*b**4 + 7*b**3*t - 5*b**3 - 7*b**2*t - 4*b**2 - 9*b*t - b wrt b. 48*b*t - 6576*b + 42*t - 30 What is the first derivative of 2250*z**2 + 103174 wrt z? 4500*z What is the second derivative of 3802*t**5 - 158*t - 30? 76040*t**3 Find the third derivative of 46108*d**4*m + d**2*m - 6*d**2 - 88*d*m - 2*d - m wrt d. 1106592*d*m Find the third derivative of -413664*l**5 + 59*l**2 - 204*l. -24819840*l**2 Find the first derivative of -14*d**3*w**2 + 238*d*w**2 + 104164*w**2 wrt d. -42*d**2*w**2 + 238*w**2 What is the third derivative of -1066236*f**3 - 1405712*f**2? -6397416 What is the first derivative of 28*g**3*y + 89633*g**3 + 718*g*y**4 wrt y? 28*g**3 + 2872*g*y**3 What is the third derivative of -3*j*l**2*x**3 - 11*j*l**2 + 2*j*l*x**2 - 66*j - 32*l**2*x**3 - 3*l**2 - 4*l*x**2 + 1581*x**3 wrt x? -18*j*l**2 - 192*l**2 + 9486 Find the third derivative of -1435035*n**3 + 2*n**2 + 897157*n - 2 wrt n. -8610210 Find the second derivative of 4193891*h**2*m + 4400092*h*m wrt h. 8387782*m What is the third derivative of 44*n**5*o + 108*n**3*o**2 - 276*n**2*o**2 + 21*n + 8*o wrt n? 2640*n**2*o + 648*o**2 Differentiate -2123*j*s - 136080*j + 40*s wrt s. -2123*j + 40 What is the second derivative of -2*g*n**3*w - 147*g*n**2 - 2*g*n*w - 20*g*n - 101*n**4 - 337*n*w - 6 wrt n? -12*g*n*w - 294*g - 1212*n**2 What is the first derivative of -2*k*r*w**2 + 3*k*r - 2*k*w**4 - 84*k*w + 646*r + 6 wrt w? -4*k*r*w - 8*k*w**3 - 84*k What is the second derivative of 17*d**3*t - 3*d**3 + 3*d**2*t + 368*d**2 + d*t + 728*d - t + 9 wrt d? 102*d*t - 18*d + 6*t + 736 What is the first derivative of -298*w**2*z + 5*w**2 + 4*w*z + 2*w - 218 wrt z? -298*w**2 + 4*w Find the third derivative of 2081817*o**4 + 80907*o**2 + o. 49963608*o What is the third derivative of 3*p**6 + 22*p**5 + p**3 + 5*p**2 + 5490 wrt p? 360*p**3 + 1320*p**2 + 6 What is the second derivative of -27100*k**3 - 61537*k? -162600*k What is the second derivative of -673*p**3 + 580*p**2 - 1460421*p? -4038*p + 1160 Find the second derivative of 77*d**2*h*k + 13*d**2*k*l - 23*d*h - 13*d*l - 2*h*k*l + h*k + h*l wrt d. 154*h*k + 26*k*l Find the second derivative of -23*f*i**4*w + 53*f*i**4 - 10*f*i - 13*f*w - 2*f - 2*i wrt i. -276*f*i**2*w + 636*f*i**2 What is the third derivative of -2*h*q**6 - 76051*h*q**2 - 3*h + 37035*q**6 wrt q? -240*h*q**3 + 4444200*q**3 What is the derivative of 155710*a - 249079 wrt a? 155710 Find the first derivative of 7608*t**3 + 323258. 22824*t**2 What is the second derivative of -3397*o**2*p**3 - 4*o**2*p - 19*o**2 - 11*p**3 + 11*p + 2 wrt p? -20382*o**2*p - 66*p What is the third derivative of -61326*j**5 - 2*j**2 + 1583*j - 6 wrt j? -3679560*j**2 What is the second derivative of -9*z**4 + 7*z**3 - 9*z**2 - 17760*z wrt z? -108*z**2 + 42*z - 18 Find the third derivative of -18484*z**3 + 5*z**2 - 128*z + 2 wrt z. -110904 What is the third derivative of -7*m**3*p**3 - 2*m**3*p**2*t - 4*m**3*t + 3199*m*p**3*t - 11*m*p**2*t - m*p + 2
{ "pile_set_name": "DM Mathematics" }
1)**2*(3*l + 1)**2 Let a(d) be the third derivative of -1/60*d**6 + 0 + 0*d + d**2 + 0*d**3 + 0*d**4 + 1/30*d**5. Solve a(n) = 0. 0, 1 Factor 0 - 1/3*j**2 + 2/3*j. -j*(j - 2)/3 Let r(q) be the third derivative of q**8/7560 - q**7/3780 - q**6/1620 + q**5/540 - q**3 - 6*q**2. Let y(d) be the first derivative of r(d). Factor y(x). 2*x*(x - 1)**2*(x + 1)/9 Let p be (-3)/(6/(-8)) + (-8)/3. Suppose p*q - 7/3*q**3 + 0 - q**4 + 0*q**2 = 0. Calculate q. -2, -1, 0, 2/3 Let i(t) = -t**3 - t + 1. Let v(o) = -4*o**4 + 16*o**3 + 32*o - 20. Let j(y) = -24*i(y) - v(y). Factor j(x). 4*(x - 1)*(x + 1)**3 Let c(y) be the third derivative of -y**6/50 + y**5/100 + y**4/10 - y**3/10 - 2*y**2. Factor c(m). -3*(m - 1)*(m + 1)*(4*m - 1)/5 Let w(j) = -3*j**3 + 24*j**2 + 66*j + 33. Let s(m) = 6*m**3 - 49*m**2 - 131*m - 66. Let b(x) = 3*s(x) + 5*w(x). Find f such that b(f) = 0. -1, 11 Let k(q) be the second derivative of 0 - 1/15*q**3 + 0*q**2 + 1/50*q**5 + 3*q + 0*q**4. Let k(c) = 0. What is c? -1, 0, 1 Let o be (-3)/(-9)*(-4)/(-1). Let 2/3*g**3 - 4/3 + o*g**2 - 2/3*g = 0. Calculate g. -2, -1, 1 Suppose 0 = 3*g - 4*f - 13 - 6, 13 = g + 2*f. Suppose -26 - 3*r**4 + 0*r + g*r**2 - 6*r + 26 = 0. Calculate r. -2, 0, 1 Let m(k) be the third derivative of -k**8/168 - k**7/105 + k**6/30 + k**5/15 - k**4/12 - k**3/3 + 7*k**2. Find v such that m(v) = 0. -1, 1 Suppose -4*n + 2*i + 8 = -2*i, -2*n + 7 = -i. Factor -12*m**4 + 22*m**2 - 2*m**n + 12*m + 8*m**2 - 24 - m**5 - 3*m**3. -3*(m - 1)**2*(m + 2)**3 Let k be (-1)/1 + 2 - -3. Factor 2*x**4 - x**k + 2*x**4 + 2*x**2 + x**2 - 6*x**3. 3*x**2*(x - 1)**2 Let g(a) be the second derivative of 1/20*a**5 + 1/6*a**4 + 0*a**2 + 7*a + 1/6*a**3 + 0. Factor g(l). l*(l + 1)**2 Factor -5*x**2 + 340*x**3 + 3*x**2 - 342*x**3. -2*x**2*(x + 1) Let h = -205 + 1029/5. Factor 6/5*v**2 - h - 2*v. 2*(v - 2)*(3*v + 1)/5 Let z(u) = u**4 + u. Let d(a) = 9*a**4 - 6*a**3 - 12*a**2 + 12*a + 9. Let f(v) = d(v) - 6*z(v). Solve f(t) = 0 for t. -1, 1, 3 Factor -1/8*j**3 + 0*j**2 - 1/4 + 3/8*j. -(j - 1)**2*(j + 2)/8 Let q be -1 - (-2)/(-2)*4. Let z be (-2)/(2/q) - 0. Factor 4*v**z - 3*v**4 + 4*v**4 - 2*v**5 + 0*v**5. v**4*(2*v + 1) Let l(j) = -2*j + 22. Let g be l(10). Factor 2*b + 7*b**g + 2*b**2 - 4 - 7*b**2. 2*(b - 1)*(b + 2) Let h(y) = y**2 + 2*y + 3. Let n(w) = 4*w**2 + 7*w + 12. Let g(b) = 9*h(b) - 2*n(b). Factor g(z). (z + 1)*(z + 3) Let j(m) be the second derivative of m**5/40 + m**4/12 + m**3/12 + 2*m. Factor j(q). q*(q + 1)**2/2 Let s = 96/11 - 842/99. Let m be 22*2/12 - 3. What is k in -s*k**2 - m*k - 4/9 = 0? -2, -1 Let c be 2/(((-14)/(-8))/7). Let k be 4/((c/2)/2). Let 0 + k*s**3 + 0*s - 2*s**4 - 2/3*s**2 + 2/3*s**5 = 0. Calculate s. 0, 1 Let i(q) = q**3 + 5*q**2 - 6*q + 2. Let h be i(-6). Suppose 0*w - 1/5*w**h + 4/5 = 0. What is w? -2, 2 Let l be 1/10 + (0 - 0). Let m(q) be the second derivative of 1/3*q**3 + 2*q + 0*q**4 - 1/30*q**6 + 1/2*q**2 + 0 - l*q**5. Factor m(s). -(s - 1)*(s + 1)**3 Let 0 - 4*r + 2/3*r**2 + 2/3*r**3 = 0. Calculate r. -3, 0, 2 Let v(j) be the first derivative of j**6/6 - 3*j**5/5 - 3*j**4/4 + 11*j**3/3 - 3*j**2 - 45. Find s, given that v(s) = 0. -2, 0, 1, 3 Let h(a) be the second derivative of -a**5/10 + 5*a**4/18 - 2*a**3/9 + 63*a. Factor h(o). -2*o*(o - 1)*(3*o - 2)/3 Let v(q) be the third derivative of -q**6/60 - 3*q**5/70 - q**4/42 + 11*q**2. Factor v(c). -2*c*(c + 1)*(7*c + 2)/7 Let p(n) = 25*n**3 - 9*n**2 - 9*n. Let h(q) = 6*q**3 - 2*q**2 - 2*q. Let o(z) = 9*h(z) - 2*p(z). Factor o(i). 4*i**3 Factor 1/2*z + 0*z**4 + 0 + 1/2*z**5 + 0*z**2 - z**3. z*(z - 1)**2*(z + 1)**2/2 Suppose -5*z = 20, 4*c + 2*z - 3*z = 36. Let w be c/5 + 12/30. Factor -4*d + 4*d - 2 + w*d**2. 2*(d - 1)*(d + 1) Let m = 1/23347 + 4132405/326858. Let w = -57/7 + m. Factor -w - 1/2*c**2 - 3*c. -(c + 3)**2/2 Let u(v) = 2*v**4 + 4*v**3 + 6*v**2 - v - 5. Let n(t) = -9*t**4 - 17*t**3 - 25*t**2 + 4*t + 21. Let k(d) = 6*n(d) + 26*u(d). Factor k(p). -2*(p - 2)*(p - 1)*(p + 1)**2 Let z(q) be the third derivative of 9*q**6/200 - 7*q**5/100 - q**4/20 - 8*q**2. Determine s so that z(s) = 0. -2/9, 0, 1 Let k(r) = r**3 - 4*r**2 - 2*r + 4. Let n be k(3). Let y = n - -16. Factor -4*p**3 + p**y + 0*p**2 - 4*p**4 + 3*p**3 + 2*p**2 + 2*p**4. p**2*(p - 2)*(p - 1)*(p + 1) Let d = 288/11 + -26. Let 0 + d*l - 2/11*l**3 + 4/11*l**2 - 4/11*l**4 = 0. What is l? -1, -1/2, 0, 1 Let l = -4 + 5. Factor -7*s**3 + 2*s**3 - 3*s + 3*s**2 + s**3 + 3*s**3 + l. -(s - 1)**3 Let b be 106/53*(-2)/(-20). Let 1/5*p**4 + 0*p - b*p**3 + 0*p**2 + 0 = 0. Calculate p. 0, 1 Suppose 2/15*d + 2/15 - 2/15*d**2 - 2/15*d**3 = 0. What is d? -1, 1 Solve 1/8*w**4 - 1/8*w - 1/8*w**5 + 1/8 + 1/4*w**3 - 1/4*w**2 = 0 for w. -1, 1 Let b(f) be the third derivative of -1/60*f**5 - f**2 + 0*f**3 + 1/360*f**6 + 0 + 1/36*f**4 + 0*f. What is x in b(x) = 0? 0, 1, 2 Let w be (1/(-5))/((-21)/5)*6. Factor -2/7*d**3 + 2/7*d - 2/7 + w*d**2. -2*(d - 1)**2*(d + 1)/7 Determine x so that -5*x**3 + 49 + 4*x**4 - 5*x**3 - 2*x + 8*x**2 - 49 = 0. 0, 1/2, 1 Suppose 0 = -3*n - 5*i + 26, -5*n + 2*i + 3*i = 10. Suppose 7*z - n = 12. Solve 0 + 2/3*h - 8/3*h**z + 2*h**3 = 0. 0, 1/3, 1 Let m(k) be the third derivative of k**8/2352 + k**7/735 - k**5/210 - k**4/168 - 7*k**2. Factor m(y). y*(y - 1)*(y + 1)**3/7 Let c be (-3)/(-2)*3 + 8/(-2). What is w in -1/2*w**3 + 0 + w**2 - c*w = 0? 0, 1 Solve 5/4*t**2 + 1/4*t**4 + 0 - 1/2*t - t**3 = 0 for t. 0, 1, 2 Let k be ((-9)/(-2)*(-5)/(-10))/3. Let r be 15/28 + (-4)/14. Factor r*l + 1/2 - k*l**2. -(l - 1)*(3*l + 2)/4 Suppose -12*t + 14*t = 8. Factor -2/5*b**3 + 0*b + 0 + 4/5*b**2 - 56/5*b**t. -2*b**2*(4*b - 1)*(7*b + 2)/5 Let w(g) be the second derivative of -1/135*g**6 + 1/54*g**4 + 1/90*g**5 + 0*g**2 - 2*g + 0 - 1/27*g**3. Factor w(j). -2*j*(j - 1)**2*(j + 1)/9 Let j = 382/377 - 16/29. Determine q, given that -2/13*q**2 - j*q + 0 = 0. -3, 0 Suppose -x - 2*d - 2 = 0, -x - 3*d + 0 = 5. Factor 2*h - 3*h**3 - 3*h**2 + h**5 + 2*h**2 + 5*h**4 - 4*h**x. h*(h - 1)**2*(h + 1)*(h + 2) Let a(r) be the third derivative of -r**7/70 - 7*r**6/180 + r**5/60 + r**4/6 - r**3/6 + 2*r**2. Let b(w) be the first derivative of a(w). Factor b(z). -2*(z + 1)*(2*z - 1)*(3*z + 2) Let x = -49/33 - -20/11. Let w(o) be the third derivative of 3*o**2 + 1/120*o**6 + 5/24*o**4 + 0*o + 0 - x*o**3 - 1/15*o**5. Let w(f) = 0. Calculate f. 1, 2 Let p(m) be the first derivative of -m**5/15 - m**4/12 + 36. Solve p(i) = 0 for i. -1, 0 Let a(m) be the first derivative of 4*m**3 + m**4 + 2*m + 9/2*m**2 + 6. Factor a(c). (c + 2)*(2*c + 1)**2 Let q(d) be the first derivative of -4*d**5/5 - 8*d**4 - 20*d**3 + 16*d**2 + 64*d - 5. Solve q(m) = 0 for m. -4, -1, 1 Let f be 4/(-6) + 2 + -1. Let j(z) be the first derivative of -f*z - 2/9*z**3 + 1/5*z**5 - 2 + 1/18*z**6 + 1/6*z**4 - 1/2*z**2. Factor j(r). (r - 1)*(r + 1)**4/3 Let p = -8 + 13. Solve 4*s + 0 - 12*s**2 + 2 + 1 + p*s = 0. -1/4, 1 Let v = 1755670/3021 + -11030/19. Let r = v - -2/53. Factor -4/3 + r*p + 2/3*p**2. 2*(p - 1)*(p + 2)/3 Let l(b) be the second derivative of -b**4/20 - 8*b**3/5 + 51*b**2/10 + 65*b. Factor l(f). -3*(f - 1)*(f + 17)/5 Let m(y) be the third derivative of -y**7/1365 - y**6/780 - 2*y**2. What is v in m(v) = 0? -1, 0 Let n = -161 - -163. Factor 0 - 2/9*y + 2/9*y**n. 2*y*(y - 1)/9 Let t(w) be the second derivative of -2*w**7/21 + 2*w**6/15 + 3*w**5/5 - 5*w**4/3 + 4*w**3/3 - 2*w. Factor t(s). -4*s*(s - 1)**3*(s + 2) Let s(v) be the first derivative of v**6/3 - 8*v**5/5 + 2*v**4 + 49. Factor s(f). 2*f**3*(f - 2)**2 Find z, given that 14/9*z**2 - 10/9*z**3 + 0 + 2/9*z**4 - 2/3*z = 0. 0, 1, 3 Let x be (-10)/15*(-2)/156. Let y = x + 229/585. What is k in 2/5 - 2/5*k**2 - 2/5*k**3 + y*k = 0? -1, 1 Let l = -6 - -12. What is b in -117*b**2 - l*b**3 - 3*b**4 + 117*b**2 = 0? -2, 0 Let r be (-2 - 474/(-66)) + -5. Factor r*v**3 + 0*v**2 + 4/11 - 6/11*v. 2*(v - 1)**2*(v + 2)/11 Let v(w) = 5*w**3 + 18*w**2 - 36*w + 32. Let t(f) = -3*f**3 - 12*f**2 + 24*f - 21. Let n(q) = -8*t(q) - 5*v(q). Suppose n(g) = 0. Calculate g. 2 Factor -3*q**3 + 446*q**2 - 446*q**2. -3*q**3 Suppose 4*t - 12 = -k, -t + 3 = k - 6. Suppose 0 = -x - 2*o + 11, 2*x - 4*o + k = -2. Suppose -4/5*b**2 + 2/5*b**x + 2/5*b + 0 = 0. Calculate b. 0, 1 Let u(s) be the first derivative of -s**3/6 - s**2/2 + 3*s/2 -
{ "pile_set_name": "DM Mathematics" }
.775243 millimeters? 0.000006775243 Convert 314.342ml to litres. 0.314342 What is 19/4 of a week in minutes? 47880 What is 43/2 of a day in hours? 516 What is 56.89526kg in nanograms? 56895260000000 How many grams are there in 3/40 of a tonne? 75000 Convert 843.9033 millimeters to centimeters. 84.39033 What is 6/5 of a centimeter in millimeters? 12 How many micrometers are there in eleven halves of a millimeter? 5500 How many milligrams are there in 179.529t? 179529000000 What is 6.674566 micrometers in meters? 0.000006674566 How many nanoseconds are there in 2.605203s? 2605203000 How many grams are there in 26.71864 tonnes? 26718640 What is 2899.361 millimeters in kilometers? 0.002899361 How many meters are there in twenty-one halves of a kilometer? 10500 What is 4.171009km in micrometers? 4171009000 What is 64.87162l in millilitres? 64871.62 How many micrometers are there in eleven halves of a millimeter? 5500 How many micrometers are there in 8519.372nm? 8.519372 How many tonnes are there in 80.45021kg? 0.08045021 Convert 17823.68ms to microseconds. 17823680 What is one fifth of a centimeter in millimeters? 2 Convert 6.39614t to nanograms. 6396140000000000 How many grams are there in 228557.2kg? 228557200 What is 6710.207nm in micrometers? 6.710207 How many microseconds are there in 3/5 of a millisecond? 600 How many litres are there in 0.6417556 millilitres? 0.0006417556 Convert 16719.9 milligrams to kilograms. 0.0167199 What is 42/5 of a gram in milligrams? 8400 What is 37/2 of a meter in millimeters? 18500 How many centimeters are there in 3/25 of a meter? 12 What is sixteen fifteenths of a century in months? 1280 How many micrograms are there in 43/4 of a milligram? 10750 What is 3/5 of a litre in millilitres? 600 Convert 612.6492um to millimeters. 0.6126492 What is 47/4 of a litre in millilitres? 11750 Convert 6.140367 litres to millilitres. 6140.367 How many micrometers are there in seventeen halves of a millimeter? 8500 How many months are there in 1/24 of a millennium? 500 What is 7.858824us in seconds? 0.000007858824 How many months are there in one tenth of a millennium? 1200 How many millimeters are there in thirteen fifths of a meter? 2600 How many meters are there in 9788.898km? 9788898 What is 27/2 of a milligram in micrograms? 13500 What is one quarter of a decade in months? 30 What is seven quarters of a litre in millilitres? 1750 What is 1285.49106 seconds in days? 0.01487836875 How many millennia are there in 439.1724 centuries? 43.91724 How many seconds are there in 2.22584 microseconds? 0.00000222584 How many minutes are there in 18/5 of a hour? 216 How many micrograms are there in one fifth of a milligram? 200 What is 31.87597ml in litres? 0.03187597 How many millilitres are there in 1/4 of a litre? 250 What is 841.6605 tonnes in micrograms? 841660500000000 Convert 18307.809 months to centuries. 15.2565075 What is 6894.0711 minutes in weeks? 0.683935625 How many millimeters are there in 404182.4 kilometers? 404182400000 How many millilitres are there in six fifths of a litre? 1200 Convert 681051.2 centuries to months. 817261440 How many months are there in 1/80 of a millennium? 150 How many micrograms are there in 32/5 of a milligram? 6400 What is 864.5527 nanograms in grams? 0.0000008645527 Convert 347.8659ug to kilograms. 0.0000003478659 What is 3191.708l in millilitres? 3191708 What is one tenth of a micrometer in nanometers? 100 How many litres are there in 0.6865047 millilitres? 0.0006865047 How many kilograms are there in 78.06036mg? 0.00007806036 What is 221356.2l in millilitres? 221356200 What is five eighths of a microsecond in nanoseconds? 625 How many days are there in 652410.45 minutes? 453.0628125 How many nanometers are there in 36535.3 millimeters? 36535300000 Convert 0.3654699 kilograms to grams. 365.4699 What is 32/5 of a milligram in micrograms? 6400 Convert 12337.11 milligrams to nanograms. 12337110000 What is fifty-three quarters of a year in months? 159 How many decades are there in one fifth of a century? 2 What is twenty-nine halves of a century in months? 17400 How many decades are there in 42174.46 centuries? 421744.6 Convert 418.1085ng to kilograms. 0.0000000004181085 What is 1.46113 meters in nanometers? 1461130000 Convert 904.0532ml to litres. 0.9040532 What is 6/5 of a litre in millilitres? 1200 How many months are there in 31/5 of a millennium? 74400 What is 7/8 of a kilogram in grams? 875 How many millilitres are there in 13/4 of a litre? 3250 Convert 1901684.4ns to minutes. 0.00003169474 How many millilitres are there in 7/2 of a litre? 3500 How many nanograms are there in 95.7905 micrograms? 95790.5 What is 1404.869ug in nanograms? 1404869 What is 82401.5 micrograms in nanograms? 82401500 What is 27/5 of a gram in milligrams? 5400 How many decades are there in fourty-two fifths of a century? 84 How many tonnes are there in 82.20704 milligrams? 0.00000008220704 What is eighteen fifths of a micrometer in nanometers? 3600 What is three eighths of a milligram in micrograms? 375 What is 1028.821311us in weeks? 0.0000000017010934375 How many millilitres are there in 3/10 of a litre? 300 What is 928.2908 nanometers in millimeters? 0.0009282908 What is one tenth of a hour in seconds? 360 Convert 23.62485 minutes to nanoseconds. 1417491000000 What is 8541.248 weeks in microseconds? 5165746790400000 What is 1/5 of a kilometer in centimeters? 20000 What is fourty-four fifths of a hour in minutes? 528 What is 3/25 of a litre in millilitres? 120 How many months are there in 62/3 of a century? 24800 How many weeks are there in 555033.591 minutes? 55.06285625 What is 1997134.11us in days? 0.000023114978125 How many minutes are there in 1/10 of a day? 144 What is 16.210962ns in days? 0.000000000000187626875 What is 51/5 of a centimeter in millimeters? 102 Convert 415101.1m to nanometers. 415101100000000 Convert 0.1783239 millilitres to litres. 0.0001783239 What is one tenth of a century in years? 10 How many centimeters are there in 45/4 of a meter? 1125 Convert 34228.93cm to meters. 342.2893 What is 776.142 millilitres in litres? 0.776142 Convert 721.9388 centimeters to micrometers. 7219388 How many nanometers are there in 0.0380258 micrometers? 38.0258 How many millennia are there in 28.526949 months? 0.00237724575 How many nanograms are there in 848414.7mg? 848414700000 What is 648.2474 nanometers in kilometers? 0.0000000006482474 How many micrograms are there in seven quarters of a milligram? 1750 How many millilitres are there in 17/4 of a litre? 4250 What is 3/8 of a litre in millilitres? 375 What is 7.20043l in millilitres? 7200.43 How many micrometers are there in 27.39224m? 27392240 What is 3/25 of a meter in millimeters? 120 How many years are there in 0.8316549 centuries? 83.16549 What is 64.054854s in days? 0.000741375625 What is fourty-two fifths of a century in years? 840 How many decades are there in 53134.48 centuries? 531344.8 How many centuries are there in 8.640621 years? 0.08640621 What is 7/6 of a minute in seconds? 70 Convert 445870.4 centimeters to millimeters. 4458704 Convert 5116.813 decades to months. 614017.56 How many years are there in 29/2 of a century? 1450 How many decades are there in thirteen fifths of a century? 26 How many microseconds are there in 200.6711 minutes? 12040266000 Convert 0.8383224m to centimeters. 83.83224 Convert 70.0933km to millimeters. 70093300 What is 27/2 of a litre in millilitres? 13500 What is 42/5 of a minute in seconds? 504 How many decades are there in 25/2 of a century? 125 What is 497585.2 kilograms in nanograms? 497585200000000000 What is seven thirds of a year in months? 28 Convert 16267.314 days to weeks. 2323.902 How many millilitres are there in 3/5 of a litre? 600 How many meters are there in 41/2 of a kilometer? 20500 What is 7/3 of a year in months? 28 What is 4.205375nm in kilometers? 0.000000000004205375 What is twenty-one eighths of a micrometer in nanometers? 2625 How many millilitres are there in 5/4 of a litre? 1250 What is 3/8 of a tonne in kilograms? 375 What is fifty-three fifths of a meter in centimeters? 1060 Convert 8.47608 centuries to months. 10171.296 Convert 2800.979 millilitres to litres. 2.800979 Convert 4.799
{ "pile_set_name": "DM Mathematics" }
Let k be -15 + -1*(-1)/(-1). Let g = 21 + k. Solve -6 = g*x - 2*x for x. -2 Let l be (-2 - (-9 - -4)) + 1. Solve 0 = -l*i + i - 12 for i. -4 Let q(y) = -y**2 - 5*y + 16. Let p be q(-7). Solve p*i - 6 = 4*i for i. -3 Let u = -62 + 68. Let d(c) = c**3 - c**2 - c - 2. Let q be d(2). Solve q*o + 3*o = u for o. 2 Suppose 0 = -y - 5*b - 15, 3*y + 15 = -3*b - 2*b. Solve 4 = -y*a + 2*a for a. 2 Let q(c) = 3*c - 14. Let t be q(6). Solve -12 = f - t*f for f. 4 Let q be (2/(-2))/(2/6). Let g(h) = -h**2 - 4*h - 1. Let s be g(q). Suppose 3*c = 2*a + 11 - 1, 3*c + 3*a - 30 = 0. Solve -4*m = -s*m + c for m. -3 Let v(d) = -d - 5. Let z be v(4). Let t = 9 + z. Solve t = -r - r - 2 for r. -1 Suppose -16*v + 127 + 209 = 0. Solve -5*u + 16 - v = 0 for u. -1 Let i(r) = 3*r**2 + 3*r - 11. Let m be i(-3). Solve 5*z + m = -8 for z. -3 Let l be (1 + 1)*(-7)/2. Let k = l - -11. Solve k = 4*n - 4 for n. 2 Suppose 4*q = -2*v - 18, -2*q = -3*v + 2*q + 13. Let a be 16/(-4)*v/2. Solve -3*h = a*h + 10 for h. -2 Let t = -2 + 4. Suppose 3*z = -5*v - 5, -2*v + 7 = -z - t. Suppose 3*s = v*s + 4. Solve s*y + 9 - 1 = 0 for y. -2 Let p = -38 + 38. Let r(g) = -g + 7. Let q be r(3). Solve p = -3*c - c + q for c. 1 Let g(f) = -4*f - 4 + 5*f - f**2 - 7*f + 3*f**2. Let d be g(5). Let o = -10 + 15. Solve a - d = o*a for a. -4 Let f(k) = -k - 4. Let w be f(-5). Solve 3*b - w = 5 for b. 2 Let l(w) = -w**3 + 5*w**2 + 2*w - 4. Let t be l(5). Let c = 5 - 3. Let n = c - 0. Solve n*h + 2 = -t for h. -4 Let a = -3 + 0. Let c(v) = -v**3 - 3*v**2 - v. Let m be c(a). Suppose 4*g - 6*w - 36 = -2*w, g + m*w = -11. Solve -u + g = -2*u for u. -4 Let d(r) = r + 2. Let v be d(0). Solve -1 = -v*z + 5 for z. 3 Suppose 2*c + 5*m = -12, 7*c - 3*m = 2*c + 32. Solve -n + 2*n + c = 0 for n. -4 Let q(s) = s**3 - 10*s**2 - s + 13. Let g be q(10). Solve g*v - v + 6 = 0 for v. -3 Let v = -46 + 2. Let p = v + 64. Let i(c) = c + 3. Let z be i(0). Solve z*d = -d - p for d. -5 Suppose -2*v + 4*k = 12, k + 1 + 3 = 4*v. Solve w - 1 = -v for w. -1 Let z = 6 - 6. Let l be (-2 - z) + 0 + 2. Solve -4*x - 1 + 5 = l for x. 1 Let h be (10 - -1) + (-1)/(-1). Suppose -3*b + 12 = 3*q, -5*q = 3*b - 2*b + h. Solve -b = -2*o - 0*o for o. 4 Let x = -72 + 77. Solve 5*w = -0*w - x for w. -1 Suppose 6*j - j - 4*o - 53 = 0, 2*o + 22 = 2*j. Let h be (0 - j/15)*-5. Suppose h*x + l = -2*l + 6, l = x + 2. Solve x*z - 3 = -z for z. 3 Let w be (-5 + 3)*-1 + 3. Solve -w*v + 16 = 1 for v. 3 Let p = 24 - 14. Suppose 0 = 2*g - 0 - p. Suppose -5*w = 20, 3*r + 2 + 1 = -3*w. Solve 0 = -r*x - 2 + g for x. 1 Suppose -16*a + 13*a = -15. Suppose 3*j - 8 = -2*p, -2*j + 9 = -0*j + a*p. Solve u = -j*u - 15 for u. -5 Suppose 31 = -2*r + 37. Solve 12*i - r = 15*i for i. -1 Suppose 2*o - o = 0. Suppose o*j + 3*j - 45 = 0. Solve -5*q = -10 - j for q. 5 Suppose 0 = -g - g + 2. Let n be -1 + (-2)/2 + 2. Let d be n - 0/(3 - g). Solve d*w + 5*w = -10 for w. -2 Let k(w) = w + 9. Let t be k(-7). Suppose 3*s = 5*d - 15, d - 2*s - 3 = s. Suppose 0*v - 36 = -d*v. Solve -t = -5*o - v for o. -2 Let g be (-3)/2*2/3. Let d be 2 - ((g - 1) + 2). Suppose -2*p + 2*s - 3 - 1 = 0, 19 = -2*p + 5*s. Solve -k = -d*k - p for k. -3 Let o(s) = -s**2 - s. Let p(k) = -11*k**3 + 4*k - 1. Let m(x) = -2*o(x) - p(x). Let b be m(1). Suppose -3*w = w - b. Solve -z - w*z = 0 for z. 0 Let v(z) = 6*z - 9. Let p be v(4). Solve 4*u + 3 = p for u. 3 Let a = 0 - -1. Suppose -u + a + 2 = 0. Solve -2*v = v - u for v. 1 Let k = 19 + -17. Solve 7 = -k*y - 3 for y. -5 Suppose -5*i + 0*i - 2*s = -44, 0 = -5*i - 5*s + 35. Let m(a) = -a. Let k = 1 + -7. Let y be m(k). Solve -i = -x + y*x for x. -2 Let k = 9 + -5. Suppose -4*x + 2*r - 3*r = -43, 3*r = -k*x + 49. Suppose -3*z = 2*z - x. Solve -z = -m + 2*m for m. -2 Let c(x) = -x - 14. Let u be c(-16). Suppose -3*f + 5*d = -9, -5*f + 10 = d - 5. Let s = 1 - 1. Solve s = u*j + j - f for j. 1 Let c(g) = -g**2 + 13*g - 15. Let t be c(12). Let v be (1/t)/(2/(-36)). Solve 12 = -v*z + 2*z for z. -3 Let i(h) = -h**3 + 7 + 5*h**2 - 4 - 4 - 3. Suppose -2 = -w - 4*g + 10, 3*w = 4*g + 4. Let v be i(w). Solve f = -2*f - v for f. -4 Let r = 14 - 9. Solve 0 = -r*i - 13 - 12 for i. -5 Let u(m) = 4*m + 31. Let y be u(-6). Solve -y*o + 3*o = 0 for o. 0 Suppose 0*n + 2*n - 20 = 0. Let w = -7 + n. Solve w*x = 1 + 11 for x. 4 Let p(q) = q**2 + q + 3. Let x be p(-4). Let v = -12 + x. Solve 0 = v*o - 7*o - 16 for o. -4 Let i be -26 - 0 - 6/(-2). Let k = i + 32. Solve k = 3*u + 3 for u. 2 Suppose -o + 3 = 2. Solve 3 = -2*q + o for q. -1 Let n be (-812)/(-98) - 4/14. Solve 0*c + n = 4*c for c. 2 Let q(h) = 3*h**2 + h + 2. Let w be q(3). Let x be (2/(-6))/(2/(-30)). Let p be 1 - -1*11/1. Solve x*z = -w + p for z. -4 Let o = 27 + -16. Let q be 48/22 + (-2)/o. Solve -q*u - 2 = -8 for u. 3 Let x be 5*1 - (0 - 0). Let r(i) = -i**3 - 2*i**2 - 5. Let f be r(-3). Suppose 0 = -3*w + 4*y + 32, -f*y + 6*y = -x*w + 10. Solve m - 25 = -w*m for m. 5 Let r be 4/10 + (-46)/(-10). Let k(t) = -t - 3. Let x(l) = l**3 + 6*l**2 + 2*l + 9. Let w be x(-6). Let m be k(w). Solve m = -0*f + r*f for f. 0 Let d(v) = v + 1. Suppose 0*z - 6 = -3*z. Let j be d(z). Solve -5*f + j = -4*f for f. 3 Suppose 6*k - 10 = k. Let a = -36 + 56. Solve -k*u - a = 2*u for u. -5 Suppose -12 = -3*v + 3. Solve v*t + 1 + 4 = 0 for t. -1 Suppose -3*b + 24 = -5*u, -b - 5*u = -2*u - 8. Solve 0*t + b = -4*t for t. -2 Suppose -5 + 17 = 6*r. Solve 0 = -r*t + 4 - 0 for t. 2 Let u be (1 - 6/1)*-1. Let f(a) = -a + 7. Let t be f(u). Solve -t*w + 13 = 5 for w. 4 Let q be (-13)/(-4) - (-2)/(-8). Suppose -q*x - 8 = -7*x, -2*j = -2*x. Let o be ((-8)/3)/(j/(-3)). Solve -o*n + 20 = n for n. 4 Let c = 2 - 0. Suppose u = -4 - 5. Let q = 10 + u. Solve 0 = -c*x - q - 1 for x. -1 Let i be ((-10)/(-6))/((-5)/(-18)). Solve 2*l = -l - i for l. -2 Let s = -80 - -81. Solve -s = 2*b + 3 for b. -2 Let d be 22/(-77) - (-32)/14. Suppose -4*r = -2*r - 2. Let l = d + r. Solve -l*p = -p for p. 0 Suppose x + 4 = -0*x, -x + 28 = 2*y. Suppose -h - 3*h + y = 0. Solve -w = h*w + 10 for w. -2 Let c(f) = f**2 + 3*f - 4. Let t be c(-4). Solve t = -g + 1 for g. 1 Let a = -12 + 20. Let c be 2/15 - a/60. Solve -5*d + 5 + 0 = c for d. 1 Let v be (0/(-1))/(11/(-11)). Solve v*d = 4*d for d. 0 Let s(c) = 3*c - 37. Let w be s(13). Solve -w = -3*i + 13 for i. 5 Suppose 4*u - 2*u = 3*b, 0 = -2*b + 4*u. Let m = 2 + b. Solve 3*q = 4 + m for q. 2 Let h be (0/(1 - -2))/1. Suppose 0 = -4*c + 4*b - h + 4, c = 5*b - 3. Solve l + 3 = c*l for l. 3 Suppose 2*x = -2*x. Let t = 0 - x. Solve t = -2*h - 0*h for h. 0 Let u = -7 + 11. Suppose t = -u*z + 97, -42 + 14 = -z + t. Solve -z = -a - 4*a for a. 5 Let x = -56 + 78. Suppose -w - 1 = 0, 5*q + x = q - 2*w. Let u(r) = r**3 + 6*r**2 + 2*r - 3. Let a be u(q). Solve p + a = -2*p for p. -4 Let j(f) = f**2 - 7*f - 2. Let y be j(8). Let m = -4 + y. Suppose -2*v = 8, 0*u = u + m*v + 4. Solve -u*a + 5*a - 3 = 0 for a. 3 Let q(n) = -n**2 - 12*n + 48. Let b be q(-15). Solve 13 = -b*f - 2 for f. -5 Let i(s) = -3*s - 84. Let q be i(-32). Solve -4*t = 16 - q for t. -1 Let l = 5 + 3. Let q = -5 + l. Solve -a + q*a + 6 = 0 for a. -3 Let y(d) be the second derivative of -d**2 + 0 - 1/6*d**3 + 1/12*d**4 + d. Let r be y(3). Solve -2 + r = -k for k. -2 Suppose -5*g + u = 3*u - 26, 3*u + 7 = 4*g. Solve -g*m = -7 - 1 for m. 2 Suppose c - 2*m - 16 = m, -2*m - 28 = -5*c. Suppose t = -5*x - 1, -2*x + 4*t + c = -0*x. Let n = x + 3. Solve -8 - 1 = -n*l for l. 3 Let i be ((-4)/(-6))/((-8)/(-144)). Solve 0*d + i = -3*d for d. -4 Let a be 1 + 1 - (3 - 1). Let i = -62 - -65. Solve a = -2*v - 7 + i for v. -2 Let n(m) = -12*m. Let l be n(0). Solve -5*t + 5 + 0 = l for t. 1 Suppose 0*u = 3*u + 9. Let n be 0*(-1)/(-3) - u. Solve -n*k + 1 = 10 for k. -3 Suppose -3*q = m - 54, -2*q - 246 = -4*m + q. Suppose k = 6*k + m. Let i be (6/8)/((-3)/k). Solve -7*j - 4 = -i*j for j. -1 Let v(k) = -k**2 - 9*k - 10. Let d be v(-7). Suppose b - d = -b. Suppose b*f + 1 = 3. Solve 7 = -2*x - f for x. -4 Let f(v) = -v - 5. Let l be f(-5). Suppose -4*b + 43 = -5*h, -b + l*h - 2*h + 14 = 0. Let r = b + -8. Solve -2*q + r*q - 8 = 0 for q. 4 Suppose g + 3 = -0, -5*r + 4 = 2*g. Suppose -2*m = -r*o + 2*m, -2*o - 5*m + 9 = 0. Solve -o*f + 4 = 2*f for f. 1 Let h(t) = t**3 + 4*t**2 - t + 1. Let z b
{ "pile_set_name": "DM Mathematics" }
the tens digit of l(6)? 3 Suppose 9*v - 75 = 4*v. Let j be (-141)/v + (-9)/15. What is the units digit of (-2 - j)/((-4)/(-6))? 2 What is the units digit of 16/28*70/4? 0 Let i be (-17)/(-5) - 4/10. Suppose 0 = -i*x + 51 - 15. What is the units digit of 63/x + 3/(-12)? 5 Suppose 5*r = -o - 5, 3*r - 2 = -o + 5*r. Let j be 6/(5 - 3) - o. Suppose -6 = -j*u + 4*s, u - s = -2*u + 6. What is the units digit of u? 2 What is the tens digit of (520/12)/((-4)/(-6))? 6 What is the tens digit of 42/(-14)*(-10)/1? 3 Let o(f) = 6*f**2 + f - 4. Let r = -10 + 12. What is the tens digit of o(r)? 2 Let q(o) be the second derivative of -o**4/12 + 7*o**3/6 - 3*o**2 + 2*o. Let i be q(7). What is the units digit of (-6)/4 - 63/i? 9 Suppose 5*g - 85 = 75. Suppose 0 = 3*m + m - g. What is the units digit of m? 8 Suppose q - 1 = 2. Suppose 12 = q*s - s. What is the units digit of s? 6 Let p(a) = 5*a**2 + 7*a. What is the hundreds digit of p(8)? 3 Suppose 3*x - 2*d - 34 = 0, 21 = 2*x - 3*d - 0. What is the units digit of x? 2 Suppose 3*w + w = 120. Suppose w + 0 = 2*f. What is the units digit of f? 5 Suppose -13*t = -11*t - 14. What is the units digit of t? 7 Let p = 1 + 1. Let v(h) = -3*h**2 + 1 - 2*h**3 + 9 - 8 + 4*h**3. What is the units digit of v(p)? 6 Let m(y) = y**3 - 12*y**2 - 14*y + 20. What is the hundreds digit of m(14)? 2 Let d = 258 + -101. What is the units digit of d? 7 Suppose -146*z + 145*z + 129 = 0. What is the hundreds digit of z? 1 Suppose -3*n - 10 = 8. Let q be 2*(0 + (-10)/4). Let o = q - n. What is the units digit of o? 1 Let y(n) = 7*n**2 + 9*n - 13. What is the units digit of y(3)? 7 Suppose 1496 = 10*s - 924. What is the tens digit of s? 4 Let g(f) = 2*f - 9. Let v = 7 - 18. Let p be g(v). Let x = p - -48. What is the tens digit of x? 1 Let i(c) = 2*c + 7. Let x be i(-5). Let j = -2 - x. What is the units digit of j? 1 Suppose 2*b = -1 - 3. Let t be 11/b + (-2)/(-4). Let s = t + 7. What is the units digit of s? 2 Let b(c) = -c**3 + 3*c**2 + 2*c - 3. Suppose 3*p - 5*k = 24, k = 3*k + 6. What is the units digit of b(p)? 3 Let h be (-2 - -4)*(-11)/2. Let g = 12 + h. Suppose 0*m + g = r + 4*m, r + 2*m = 11. What is the tens digit of r? 2 Suppose 23 = w + 11. Let l = -11 + w. What is the units digit of l? 1 Let p(s) = -4*s**3 - 3*s**2 + 1. Let j be p(-2). Let o = j - -7. What is the tens digit of o? 2 Suppose 2*f - 2 = d - 12, d = -f + 7. Suppose -d*v = -4*v - 56. Suppose -3*p + v + 7 = 0. What is the units digit of p? 7 Let t(d) = 14 + 2*d + 0*d**3 - 7*d + d**3 - 9*d**2 - 26. What is the tens digit of t(10)? 3 Let x(z) be the first derivative of z**3/3 + z**2/2 + 35*z - 9. What is the tens digit of x(0)? 3 Let q be (-3 - (-15)/6)*-6. Let s be -3 + (-3 - 0)/q. What is the units digit of (-3)/s + 69/4? 8 Let u = -3 - -5. Suppose 4*d = v + 13, -u*d + 0*d = -3*v + 1. Suppose v*q - 28 = -3*f - 4, 0 = -3*f - 5*q + 24. What is the units digit of f? 8 Let q(s) = -s**3 + s**2 - s - 1. What is the units digit of q(-1)? 2 Let a be (3 - 17/5)*5. Let n = a - 0. What is the units digit of ((-6)/4)/(n/12)? 9 Suppose 2*h + 25 = 7*h. Suppose h*z + 4 = 14. Suppose -2 - z = -y. What is the units digit of y? 4 Let h = -55 + 102. What is the units digit of h? 7 Let r(x) = x**2 - 9*x + 13. Let a be r(7). Let n(u) = -u**2 - u. Let t be n(0). What is the tens digit of a/(t - 3/33)? 1 Let o(s) = 47*s**2 - 2*s - 2. What is the units digit of o(-1)? 7 Suppose -5*d + 10 + 5 = 0. Suppose 5*k = d + 2. What is the units digit of 2 + (3 - 2) + k? 4 Let m(f) = 11*f + 1. Let a(x) = -5*x - 1. Let v(h) = 9*a(h) + 4*m(h). What is the units digit of v(-6)? 1 Suppose 4*l = -10*t + 5*t - 93, 0 = -5*l - t - 132. What is the units digit of -1 - (l + (-1 - -3))? 4 Suppose 2*q + 15 = -n + 4*q, -2*n = 3*q + 2. Let g(p) = p + 16. What is the units digit of g(n)? 9 Let s(f) = 0*f**2 + 0*f + f**2 - 3 - 3*f. What is the tens digit of s(-6)? 5 What is the units digit of ((18 - 6) + -2)*(2 + 12)? 0 What is the units digit of (-3 - 30/(-9)) + (-358)/(-6)? 0 Let y = -64 - -103. Suppose -3*p + 9 = y. Let n = 18 + p. What is the units digit of n? 8 Suppose -4*f + 2*f + 6 = 0. Suppose 4 = 2*o - i - 3*i, 5*o = i + 19. Let h = o - f. What is the units digit of h? 1 Let c = 12 - -32. What is the tens digit of c? 4 Let q(r) = r**2 + 5*r - 5. What is the units digit of q(-7)? 9 Let u = 160 - -22. What is the units digit of u? 2 Let c(l) = 13*l + 39. Let x(z) = -3*z - 10. Let o(j) = -2*c(j) - 9*x(j). What is the units digit of o(-5)? 7 Let v be 0 + (0 + -1 - 0). Let j be (-2)/v - (2 - 2). Suppose z + 0*z = -j*i - 4, z - 5 = i. What is the units digit of z? 2 Let n(l) = l**2 - 16*l - 17. What is the units digit of n(21)? 8 Let t = 189 - -68. What is the tens digit of t? 5 Suppose -2*w + 20 = 2*w. Suppose -2*c = w*k - 10*k + 6, -c = -2. What is the tens digit of k - -9 - (-1)/(-1)? 1 Let l(g) = -g**2 - 6. Let z be l(5). Let b = z - -47. What is the units digit of b? 6 Let s(y) = y**2 - 3*y - 4. Let g be s(3). Let f be g/(-2) + -2 - -1. Suppose 0 = 5*c + 4*u - f - 8, u = -2*c + 6. What is the units digit of c? 5 Let k(w) = -w**3 + 9*w**2 - 8*w - 7. Let n be k(8). Let m(t) be the third derivative of -t**5/60 - 3*t**4/8 - 5*t**3/6 + t**2. What is the units digit of m(n)? 9 Suppose -7*g + 12*g - 55 = 0. Let m = 21 - g. What is the tens digit of m? 1 What is the hundreds digit of 1*-3 + 266 + 4? 2 Let h = -5 - -11. Let k = -12 - -3. What is the units digit of 2/h + (-33)/k? 4 Suppose 0 = -4*g + 2*g + 244. What is the hundreds digit of g? 1 Let h = 7 - 4. Suppose -h*i + i = 0. Suppose r = -i*r + 7. What is the units digit of r? 7 What is the units digit of 1520/15 + (-2)/(-3)? 2 Let u(k) = 11*k**2 - 3*k + 3. What is the units digit of u(2)? 1 Let p(t) = -t**3 - 4*t**2 - 2. What is the units digit of p(-5)? 3 Let v(c) = 0 - 18*c - c**2 + 4 + 1 - 6. What is the units digit of v(-16)? 1 What is the units digit of (-12)/10*15/(-3)? 6 Let r(n) = -105*n**3 + 2*n**2 + 3*n. What is the units digit of r(-1)? 4 Suppose 5*q - 2*q - 54 = 0. Let m = 0 + q. What is the units digit of m? 8 Let m be (4/12)/(2/6). What is the units digit of (m + 0)/((-2)/(-12))? 6 Let w = 35 + 44. What is the tens digit of w? 7 Suppose 3*t = -5*k + 546, 2*t = -5*k + 7*t + 570. What is the hundreds digit of k? 1 Let y be -9 + -6*(-3)/6. Let d = y + 7. What is the units digit of d? 1 Let k be 42 - (0/3 + -1). Suppose 0 = -2*j - 11 + k. What is the tens digit of j? 1 Suppose -5*s + 55 - 55 = 0. Suppose 4*q - 35 = 3*w, -3*w + 15 = 5*q - w. Suppose s = q*b - 16 - 14. What is the units digit of b? 6 Let y(r) = -r**2 - 5*r + 3. Let p be y(-5). Suppose 22 = -q + p*q. What is the tens digit of q? 1 Let b(w) = w**2 - w + 4. Let l be ((-3)/2)/(3/(-6)). What is the tens digit of b(l)? 1 What is the units digit of 3/(-6) - 0 - (-354)/4? 8 Let i be (9 + -9)*(-1 + 0). Let u(p) = p + 4. What is the units digit of u(i)? 4 Suppose 2*p = p. Suppose -12 = -p*s - 3*s. Suppose -s*z - q = -5*z + 18, -z + 3*q = -20. What is the units digit of z? 7 Let n(x) = -7*x - 3. Let t be n(-2). Suppose -13 = -3*d + t. What is the units digit of d? 8 Let b(r) = r**2 + 2*r + 5. What is the tens digit of b(-9)? 6 Let n be -6 + 3 + 5 + -2. Suppose n = h + 6 - 24. What is the tens digit of h? 1 Suppose -9*w - 1215 = -14*w. Suppose w = 4*v + 3. What is the units digit of v? 0 Let q(u) = -u + 1. Let t(d) = -1. Let y(a) = -q(a) - t(a). Let l be y(2). Suppose -2*x - l*x = -20. What is the units digit of x? 5 Let w be -2 + 8/2 - 9. Let j = 5 - w. What is the units digit of j? 2 Suppose 3*y + 0 - 4 = -2*w, 2*w = -8. Suppose -3 - 9 = -y*a. Suppose 4*n + 8 = 3*s - a, 3*s + 3*n - 39 = 0. What is the units digit of s? 9 Suppose -2*i + 822 = -4*x + x, 4*i - 5*x - 1642 = 0. What is the tens digit of i? 0 What is the tens digit of (12*(-8)/(-72))/((-4)/(-294))? 9 Let m(g) = -g**3 - 7*g**2 + 6. Let x be m(-7). Suppose -32 = r + 4*r - 4*v, 5*r + 11 = -3*v. Let u = x + r. What is the units digit of u? 2 Let q(m) = -1 - 3*m + 0 - 2. Let l be q(-3). Suppose -l*t + 10 = -4*t. What is the units digit of t? 5 Let t(m) = -m - 2. Let h be t(-8). Let u(l) be the second derivative of -l**5/20 + 5*l**4/12 + 7*l**3/6 + l**2/2 + l. What is the units digit of u(h)? 7 Let x be 9*(-3 - (-3 - -1)). What is the t
{ "pile_set_name": "DM Mathematics" }
Suppose 0 = 2*r - 3*k - 22 - 15, r = k + g. What is the tens digit of r? 2 Suppose -3044 = -28*l + 27*l. What is the hundreds digit of l? 0 Let d(w) = w**3 + 17*w**2 + 5. Let b be d(-17). Suppose -3*c + 3*y = -27, 2*y + 38 = b*c + 4*y. What is the units digit of c? 8 Let w = -692 - -832. What is the units digit of w? 0 Let o(c) = 2*c**2 - 3*c - 5. What is the tens digit of o(6)? 4 Let a = 10 - 8. Suppose a*m = -n + 8, -3*n + 7 = 2*m - 13. What is the units digit of n? 6 Suppose n - x = x - 2, -3*n - 5*x = 28. Let k(o) = 3 - 5 - 2*o + o + 12. What is the tens digit of k(n)? 1 Suppose 510 + 562 = 3*a - 2*i, 0 = -a + 3*i + 348. Let o = a + -212. What is the tens digit of o? 4 Suppose -5*o = 5*f - 4250, -f = -o + 1 + 857. What is the tens digit of o? 5 Let g(u) = u**3 - 11*u**2 + 17*u - 6. Let n be g(8). Let w = n + 73. What is the units digit of w? 1 Let h(d) = -2*d + 14. Let j be h(9). What is the units digit of (-2)/(-2 + (-16)/j) + 3? 2 Suppose -2*u = 3*f + 41, -f - u - 14 = -0*f. Let h = f + 64. Suppose 0 = -9*a + 6*a + h. What is the tens digit of a? 1 Let y(w) = 10*w + 1. Let o be y(-1). Let j(v) be the first derivative of v**3/3 + 5*v**2/2 - 14*v + 30. What is the units digit of j(o)? 2 Let q be (-18)/(-42) - 1376/(-7). Suppose 7*m = 2*m - 3*g + q, -3*m + 107 = -g. What is the units digit of m? 7 Let g = 76 - 154. Let t = g - -120. What is the tens digit of t? 4 Let w = 8 - 3. Suppose w*v = -k + 110, 2*v = -k + 31 + 13. What is the units digit of v? 2 Let w(b) = 9 + 21*b + 7 - 13. What is the tens digit of w(2)? 4 Suppose -1555 = -3*z + 4*w, -4*z + 3*w + 1717 + 354 = 0. What is the units digit of z? 7 Let v = -12 - -6. Let f = v + 14. What is the units digit of f? 8 Suppose 2*l + l = 222. Let k = 132 + -107. Let b = l - k. What is the tens digit of b? 4 Let q(d) = d**2 + 17*d + 110. Let o be q(-16). Suppose 3*b - 15 = 0, 2*b = -7*n + 4*n + 841. Suppose 7*l = o + n. What is the tens digit of l? 5 Let t(l) = 7*l**2 - 10*l - 624. What is the tens digit of t(-25)? 0 Suppose 188 = 2*r + 2. Let t = -12 + r. Suppose 0 = -l + 5*p, -2*l + 7*l + 2*p - t = 0. What is the units digit of l? 5 Let d(v) be the second derivative of v**5/20 - v**4/3 - v**3/2 + 7*v**2/2 + 6*v. What is the tens digit of d(6)? 6 Let c(g) = 2*g**2 + 29*g - 5 - 34*g + 0*g**2. What is the tens digit of c(8)? 8 Let c be (-36)/(-6) + (-2)/(-2). Let i(z) = z**2 - 26*z + 56. Let y be i(24). Suppose 0 = c*j - y*j + 43. What is the units digit of j? 3 Let z = 1 + -1. Suppose -171*h + 26 = -158*h. Suppose h*l + 4*u - 36 - 26 = 0, z = 4*u - 12. What is the tens digit of l? 2 What is the units digit of (-10)/65 - (-36092)/26? 8 Let j(s) = 2*s - 19. Suppose 4*y - 14 = 3*k, -4 = -3*y + 2. Let g(w) = -2*w + 19. Let c(l) = k*j(l) - 3*g(l). What is the units digit of c(11)? 3 Let v be ((-3)/6 - 0)*-4. Let c be (v - 1)/(1/9). Suppose y - 3 = c. What is the tens digit of y? 1 Let h = -97 - -122. What is the units digit of 2270/h + 1/5? 1 What is the tens digit of 6/(-14) + (-37582)/(-602)? 6 Let o(x) = -x + 9. Let l be o(-5). Let r = -9 + l. Suppose n - 34 = 3*p, 3*n - r*n + 61 = p. What is the tens digit of n? 3 Let l(m) be the second derivative of -m**4/12 + 13*m**3/6 - 6*m**2 + 10*m. What is the units digit of l(8)? 8 Suppose 0 = -3*s + 2*s + 4. Suppose -169 = -s*t + 127. What is the tens digit of t? 7 Suppose -7*z + 531 = 2*z. Suppose 124 = 3*h - z. What is the tens digit of h? 6 What is the thousands digit of (5 + -5 + 52)*20? 1 Suppose 7*x + 3*z + 16 = 3*x, 0 = -5*x - 2*z - 13. Let g = x - 4. What is the units digit of g/((-10)/28) + -2? 2 What is the units digit of ((-26430)/20)/((-4)/8)? 3 Let p be -2*((-6)/(-4) - -1). Let v(r) = -r**3 - 2*r**2 + 9*r + 4. What is the tens digit of v(p)? 3 Let q(t) = 3*t**3 - t**2 - 6*t - 1. Let o(i) = -9 + 9 - i - 6. Let r be o(-9). What is the units digit of q(r)? 3 Let c = 278 - 26. Let a = c + -162. What is the tens digit of a? 9 Suppose -u + 5*u - 2238 = 2*c, -5*c = 25. What is the units digit of u? 7 Let l be (-1 - 1)/((-1)/1). Suppose -4*p - 5*t = -10, 5*t = l*p - 32 + 12. Suppose 3*y - p - 121 = 0. What is the units digit of y? 2 Let v = -709 - -1420. What is the units digit of v? 1 Let d = 448 - 265. What is the tens digit of d? 8 Let c be (0/(4/2))/(31 + -30). Suppose b - 441 = -4*h - c*h, 231 = 2*h - 3*b. What is the hundreds digit of h? 1 Let g be (-8 - 1)*2/(-6). Suppose -3*n + 5*q - 199 = -6*n, 169 = g*n - q. Suppose -3*c = -c - n. What is the units digit of c? 9 Suppose h - 1987 = -2*o, -3*h - 3 = -6. What is the units digit of o? 3 Let j(p) be the third derivative of -p**6/120 - p**5/30 + p**4/8 + 85*p**3/6 - 5*p**2. What is the tens digit of j(0)? 8 Suppose 28 = -h + 3*h. Let t be ((-8)/h)/((-2)/7). What is the units digit of ((-1)/(-3))/(t/30)? 5 Let l(j) = 30*j**2 + 22*j + 14. What is the tens digit of l(-6)? 6 Let l(u) = -101*u - 32. What is the units digit of l(-9)? 7 What is the units digit of 5/(-55) - 28932/(-22)? 5 What is the thousands digit of -1*3/3*(-53 + -3917)? 3 Let y(c) = c**2 + 4*c - 25. Let f be y(-13). Suppose -217 = -3*z + f. What is the tens digit of z? 0 Suppose n = 5*w - 1491, 5*w - 709 = -n + 780. Suppose -6*x + 272 = -w. What is the tens digit of x? 9 Suppose 84 = 5*q - 16. What is the tens digit of (64/q)/((-6)/(-45))? 2 Let v = -88 - -91. Suppose g + 5*a = 340, 0 = -5*g + 4*g - v*a + 336. What is the hundreds digit of g? 3 Suppose 5*w - 5*c = -925, 4*w = 2*c - 71 - 667. What is the units digit of ((160 - -1) + -1)*w/(-230)? 8 Let o(g) = g + 5. Let u be (-150)/(-18) + (-1)/3. Suppose u = 6*t - 8*t. What is the units digit of o(t)? 1 Let w(s) = 11*s**2 - 2*s - 7. Let g be w(-4). Suppose -3*k + 707 = -4*a, -k + 47 + g = a. What is the hundreds digit of k? 2 What is the units digit of (4/(-8))/((-1)/3246)? 3 Let n(o) be the third derivative of o**5/6 - o**4/8 + o**3/3 + 28*o**2. What is the hundreds digit of n(-3)? 1 Let n(l) = 6*l**2 - 22*l - 61. What is the tens digit of n(14)? 0 Let s be (-12)/8*4/3. Let j be (s - -3)*(9 - 7). Suppose -d = 5*c - 3*d - 143, 31 = c + j*d. What is the units digit of c? 9 Let g(y) = -y**2 - 5*y - 2. Let j be g(-2). Let o be j/(-24) - (-314)/12. Let k = -3 + o. What is the tens digit of k? 2 Let j = -2 - 10. Let u = -8 - j. Suppose -u*a = 1 - 89. What is the tens digit of a? 2 Let u(v) = v**3 + 10*v**2 + 14*v + 13. Let q be u(-7). Suppose 4*n = -3*h + 248, 0*n + n + h = q. What is the tens digit of n? 6 Suppose 206 = 4*m - 74. Suppose -105 = -7*c + m. What is the units digit of c? 5 Suppose c - 75 = -2*m, -c - 3*m = -2*m - 71. Let s = c + -29. What is the units digit of s? 8 Let k be -2 + 4 + 4/1. Suppose 8*y = 6*y + k. Let x(j) = j. What is the units digit of x(y)? 3 Suppose 3*u = -2*x + 72 - 13, 4*u + x = 77. Let i = -16 + u. What is the tens digit of (i/(-2))/((-15)/340)? 3 Suppose 5*x - 840 = -5*i, 6*i + 4*x - 501 = 3*i. Suppose -i = -7*p + 158. What is the units digit of p? 7 Suppose -h + 2*c = -2*h + 10, -3*h = -5*c + 14. Let u(s) = -6*s + 3. Let f be u(h). Let b = 12 + f. What is the units digit of b? 3 Suppose 0 = 2*d - 0*d + 2*j + 184, 2*d - j = -187. Let k = 113 + d. What is the units digit of k? 0 Suppose 0 = 4*y - 3*c - 65, 3*c = -0*c - 9. Let m(s) = 11 + 4 + 23*s - y. What is the units digit of m(1)? 4 Let a(f) = -f**3 + 22*f**2 - 17*f + 19. What is the thousands digit of a(14)? 1 Suppose 5*o + 785 = 4*g, 0 = 3*g - 7*g - 2*o + 778. Let p = g + -115. What is the tens digit of p? 8 Let z be (24/10)/(4/(-70)). Let g = 116 + z. What is the tens digit of g? 7 Suppose -3 - 5 = -2*o. Suppose -3*g = -7*g + o*q + 120, 0 = 3*q + 12. What is the tens digit of g/(4 + -3) - -1? 2 Let r(o) = 2*o**2 - 11*o + 3. Let d be r(-14). Suppose 6*i - d - 807 = 0. What is the tens digit of i? 2 Suppose -m - 20 = -31. Suppose 3*j - m = 52. What is the tens digit of j? 2 Let u(z) = -3*z**2 + 31*z + 11. Let i(g) = -g**2 + 10*g + 4. Let r(c) = -8*i(c) + 3*u(c). Let d be r(11). Suppose 4*l - d - 77 = 0. What is the tens digit of l? 2 Suppose 5*w - 345 = -5*k, k - 5*w - 305 = -4*k. Let n(z) = z**3 + 5*z**2 + z - 3. Let g be n(-6). Let c = g + k. What is the units digit of c? 0 Let d(w) = w**3 - 14*w**2 - 5*w + 18. Let p be d(14). What is the units digit of 3*17 + -2 + p/(-13)? 3 Let z = -4277 +
{ "pile_set_name": "DM Mathematics" }
t the terms in 34*x**2 - 60*x**3 + 62*x**3 - 34*x**2. 2*x**3 Collect the terms in 1 + 313*d + 253*d + 140*d. 706*d + 1 Collect the terms in 15*p - p - 12*p. 2*p Collect the terms in 6 - 977*v**2 + 8 - 14. -977*v**2 Collect the terms in 17*b**2 - 39*b**2 + 7*b**3 + 22*b**2. 7*b**3 Collect the terms in 7*j - 4*j - 2*j. j Collect the terms in 80*l**2 + 4*l**3 - 7*l**3 - 80*l**2. -3*l**3 Collect the terms in -11*i**2 + 22*i**2 + 21*i**2 + 0*i**2. 32*i**2 Collect the terms in -61*r - 92*r + 156*r. 3*r Collect the terms in -4*n - 55 + 55. -4*n Collect the terms in -2*d**3 + 6 + 2*d**3 + 3*d**3. 3*d**3 + 6 Collect the terms in -4 + 27 - 13 + 2*h - 10. 2*h Collect the terms in -7*w + 9*w + 101*w**2 - 6*w**2 - 16*w**2. 79*w**2 + 2*w Collect the terms in 149 + j**3 - 149 + 4*j**3. 5*j**3 Collect the terms in -6*f**2 - 121*f + 121*f. -6*f**2 Collect the terms in 6 - 11*v**3 - 8 + 2. -11*v**3 Collect the terms in g - 425*g**2 - g + 427*g**2. 2*g**2 Collect the terms in 0 + 27*a**2 - 2 + 11. 27*a**2 + 9 Collect the terms in 4*d**3 - 1100*d + 1100*d - 2*d**3. 2*d**3 Collect the terms in 481*f + 0 + 0. 481*f Collect the terms in 3970*h**2 - 1990*h**2 - 1978*h**2. 2*h**2 Collect the terms in -14*v + 7*v + v + 10*v. 4*v Collect the terms in 5*n - 5*n + n. n Collect the terms in -6*q**2 - 2*q**2 + 7*q**2. -q**2 Collect the terms in -4*v - 25*v**2 + 4*v - 8*v**2. -33*v**2 Collect the terms in -4*m**2 - 7*m**2 - 2*m**2 + 2*m**2. -11*m**2 Collect the terms in 67 - 3*o + 2*o + 60. -o + 127 Collect the terms in 33*f - 7*f - 12*f - 18*f. -4*f Collect the terms in 159 - 86*w - 82 - 77. -86*w Collect the terms in 37*a - 47*a + 9*a. -a Collect the terms in -10*g + 10*g + 9*g**2. 9*g**2 Collect the terms in -4*f + 4*f + 60*f**3 - 66*f**3. -6*f**3 Collect the terms in 7*q - 25*q + 21*q. 3*q Collect the terms in 2*t**2 + 4 - 9*t**2 - 4. -7*t**2 Collect the terms in 0 - 6*o**2 + 101*o**2 + 5 - 1. 95*o**2 + 4 Collect the terms in 378*u**2 - 403*u**2 + 9*u - 9*u. -25*u**2 Collect the terms in -7864*x + 11*x**2 + 7864*x. 11*x**2 Collect the terms in 506*n**3 + 17*n - 17*n. 506*n**3 Collect the terms in 3 - 32*n - 18*n + 31*n. -19*n + 3 Collect the terms in 2*k - 2*k + 8*k + 0*k - 2*k. 6*k Collect the terms in 13*b**3 + 102 - 102. 13*b**3 Collect the terms in 4*k**2 + 6*k**2 + 11*k**2 - 9*k**2. 12*k**2 Collect the terms in -28*u + 2 - 81*u - 2. -109*u Collect the terms in -7*x - 3*x + 9*x - 3*x. -4*x Collect the terms in 28*m**3 - 40*m**3 - 33*m**3 - 21*m**3. -66*m**3 Collect the terms in 2403*j - 2402*j + 5 - 10 + 5. j Collect the terms in 1 + 3 + 10*q**2 - 4. 10*q**2 Collect the terms in j**2 + j**2 - j**2 + 3*j**2. 4*j**2 Collect the terms in 173 - 173 + 13*w**2. 13*w**2 Collect the terms in -x**3 - 52*x**2 + 104*x**2 - 52*x**2. -x**3 Collect the terms in 54*b + 2*b**3 + 55*b + 40*b**3 - 109*b. 42*b**3 Collect the terms in 229*y**2 - 3 + 3 - 235*y**2. -6*y**2 Collect the terms in -46*f**3 - 5*f**2 + f**2 + 4*f**2. -46*f**3 Collect the terms in 2*r + 4 + 2 - 6. 2*r Collect the terms in 304 + 27*n - 304. 27*n Collect the terms in 8*z**2 - 143*z**3 - 8*z**2. -143*z**3 Collect the terms in -13205 - 2*c + 13205. -2*c Collect the terms in 46*r**3 - 22*r**3 - 25*r**3. -r**3 Collect the terms in -35*o - 3 + 3*o**3 + 35*o + 3. 3*o**3 Collect the terms in -12 - 6*r + r + 4 + 4*r. -r - 8 Collect the terms in 7585*n - 7585*n + n**2. n**2 Collect the terms in 10*f - 12 + 6*f + 8*f - 27*f. -3*f - 12 Collect the terms in -c**3 + 4*c**3 - 921 + 921. 3*c**3 Collect the terms in 1 + 14*p**2 - 1. 14*p**2 Collect the terms in -742*z - 3*z**3 + 742*z - z**3. -4*z**3 Collect the terms in 12*r**2 - 2*r**2 + r**3 + 3*r**3 - 3*r**3. r**3 + 10*r**2 Collect the terms in 4*b - b + 15 - 11 - 4. 3*b Collect the terms in 4*i - 16*i**2 - 4*i. -16*i**2 Collect the terms in -8*g**2 + 13*g**2 + 9*g**2. 14*g**2 Collect the terms in 10*i - 2*i - i - 71. 7*i - 71 Collect the terms in n**2 + 4*n**2 - 5*n**2 - 2*n**2. -2*n**2 Collect the terms in 2 + 107*j - 39*j + 41*j. 109*j + 2 Collect the terms in -169*f**2 + 167*f**2 + 3 - 3. -2*f**2 Collect the terms in -8263 + 4127 - 17*t + 4136. -17*t Collect the terms in 607*f**2 - 606*f**2 - 11 + 11. f**2 Collect the terms in -1 - 59*r + 0 + 1. -59*r Collect the terms in -4*r + 3*r + r - 125*r**2. -125*r**2 Collect the terms in -4*t**3 + 2*t**3 + 19*t**3 + 2*t**3. 19*t**3 Collect the terms in 342*j**3 - j + j - 341*j**3. j**3 Collect the terms in -12311 + 12311 + 4*u**2 + 7*u**2. 11*u**2 Collect the terms in -12785*d + 12785*d - 3*d**3. -3*d**3 Collect the terms in -4 - t**2 + 4*t**2 - 4 - 4*t**2. -t**2 - 8 Collect the terms in -15*m - 13*m - 5*m - 9*m + 37*m. -5*m Collect the terms in 7*s - 2*s + 13*s. 18*s Collect the terms in 17*q**3 + 10*q**3 - 13*q**3. 14*q**3 Collect the terms in 4*z - 2*z**2 + 3*z**3 - 4*z + 2*z**3. 5*z**3 - 2*z**2 Collect the terms in 40*k**2 - 91*k**2 + 46*k**2. -5*k**2 Collect the terms in -14*i + 11*i - 8*i - 6*i. -17*i Collect the terms in -2*z + 15292214 - 15292214. -2*z Collect the terms in 530000 + 10*q - 530000. 10*q Collect the terms in 4 + 276*g**2 - 4. 276*g**2 Collect the terms in -101*i + 217*i - 109*i - 12. 7*i - 12 Collect the terms in -w**3 + 2*w**3 + 3469*w**2 + 0*w**3. w**3 + 3469*w**2 Collect the terms in 11172 - 11172 + 6*f**2 - 4*f**2. 2*f**2 Collect the terms in -2756*r**3 + 5501*r**3 - 2743*r**3. 2*r**3 Collect the terms in 1 - 5*u**2 + 2*u**2 - 12 - 3. -3*u**2 - 14 Collect the terms in -33708*g**2 + 33708*g**2 + 2*g**3. 2*g**3 Collect the terms in 311*r**3 + 319*r**3 - 634*r**3. -4*r**3 Collect the terms in -53 + 11*s**2 + 14*s**2 + 53. 25*s**2 Collect the terms in 4*m**3 + 20*m**3 - 12*m**3. 12*m**3 Collect the terms in 2 + 2 + 6*a - 4. 6*a Collect the terms in -11 + 23 + 54*p - 12. 54*p Collect the terms in -72*m**3 + 42*m**3 + 86 + 33*m**3 - 86. 3*m**3 Collect the terms in 89 + 5*q**2 - 3*q**2 - 89. 2*q**2 Collect the terms in 26 - 80 - c + 27 + 27. -c Collect the terms in -6 + 3155*n + 6. 3155*n Collect the terms in -13 + 13 + 0 - 3*f. -3*f Collect the terms in -32 + 3*n**3 + 18 + 14. 3*n**3 Collect the terms in 5*k - 7*k + 3*k + 21*k. 22*k Collect the terms in -20*m - 3*m**2 - 25*m + 45*m. -3*m**2 Collect the terms in 678*q - 368*q - 315*q. -5*q Collect the terms in 478*k**2 - 475*k**2 + 7*k - 6*k - k. 3*k**2 Collect the terms in 2*z**3 - 153*z - 170*z + 323*z. 2*z**3 Collect the terms in -1715*n + n**3 + 1715*n + 2*n**3. 3*n**3 Collect the terms in 2*f - 6*f - 6*f + f + 5*f. -4*f Collect the terms in -1 + 1 - 11831*t. -11831*t Collect the terms in -5*l + 6*l - 3*l**3 + 7*l**3 + 0*l. 4*l**3 + l Collect the terms in -75*c**2 + 38*c**2 + 24*c**2. -13*c**2 Collect the terms in 363*t**3 - 723*t**3 + 367*t**3. 7*t**3 Collect the terms in 16*c + 31*c - 50*c. -3*c Collect the terms in d**2 - 12*d**2 - 8*d**2 + 2*d**2. -17*d**2 Collect the terms in x - 12*x - 24 + 6*x. -5*x - 24 Collect the terms in 6*o**3 - 8 + 8. 6*o**3 Collect the terms in 53 + 4*n - 20 - 33. 4*n Collect the terms in -46*h + 53*h - 11*h. -4*h Collect the terms in -7*o**3 - 2*o**3 - 11*o**3 + 2*o**3. -18*o**3 Collect the terms in 10*t**2 + 528*t - 528*t. 10*t**2 Collect the terms in -40*l**3 - 10*l**3 + 7*l**3. -43*l**3 Collect the terms in 2*n**3 - 3*n**3 + 10*n**3 - 5*n**3. 4*n**3 Collect the terms in -1224*q + 2435*q - 1219*q. -8*q Collect the terms in 6937 - 6937 + 2*g**2 - 7*g. 2*g**2 - 7*g Collect the terms in 36*d**2 - 2*d + 2*d. 36*d**2 Collect the terms in -y**3 - 3*y**3 - 8*y**3 + y**3. -11*y**3 Collect the terms in l**2 + 4*l**2 - 3*l**2. 2*l**2 Collect the terms in 3*i + 977818 - 977818. 3*i Collect the terms in 0 - 3 + 150*r**3 - 151*r**3 + 3. -r**3 Collect the terms in 28*v**3 - 3 - 54*v**3 + 5 - 2. -26*v**3 Collect the terms in 8*y**2 - 4774 + 4774. 8*y**2 Collect the terms in 6*z - 27343 + 27343. 6*z Collect the terms in 83*m - 151*m + 72*m. 4*m Collect the terms in -6*d**3 - 16*d**3 - 8*d**3. -30*d**3 Collect the terms in 68*u + 68*u + 77*u - 216*u. -3*u Collect the terms in l + 0 + l**2 + 58*l + 0. l**2 + 59*l Collect the terms in 3 - v - v + v. -v + 3 Collect the terms in 2*p - 1041*p**3 - 2*p. -1041*p**3 Collect the terms in 57*q**3 - 130*q**3 - 156*q**3. -229*q**3 Collect the terms in -11*k - 6*k**3 + k**3 + 3*k**3. -2*k**3 - 11*k
{ "pile_set_name": "DM Mathematics" }
replacement from {m: 1, r: 14}? 0 Two letters picked without replacement from {n: 1, g: 1, b: 1, d: 1, u: 1, s: 2}. What is prob of picking 1 b and 1 g? 1/21 Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, n: 1, r: 2, e: 1}. 1/5 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {e: 1, s: 4, n: 3, q: 1, h: 5}. 3/91 Two letters picked without replacement from {s: 1, q: 1, x: 1, u: 1, e: 1, r: 2}. Give prob of picking 1 s and 1 q. 1/21 Calculate prob of picking 1 k and 1 w when two letters picked without replacement from mmkmomxowwwwwmw. 2/35 Four letters picked without replacement from {t: 7, g: 4, n: 2, y: 1}. Give prob of picking 1 t, 2 g, and 1 n. 12/143 Calculate prob of picking 1 n and 2 v when three letters picked without replacement from npvppvnvvvvvn. 63/286 Calculate prob of picking 3 r when three letters picked without replacement from {r: 2, g: 2, k: 4}. 0 Two letters picked without replacement from rrhrrrrhrxhv. What is prob of picking 1 r and 1 h? 7/22 What is prob of picking 1 s and 1 o when two letters picked without replacement from ossoslossollsoloslos? 28/95 Three letters picked without replacement from {k: 1, m: 7}. Give prob of picking 3 m. 5/8 What is prob of picking 1 j and 2 e when three letters picked without replacement from eeeeeeeeeejeeeeeeee? 3/19 Calculate prob of picking 2 s when two letters picked without replacement from eseeseeeeee. 1/55 Two letters picked without replacement from {i: 1, q: 2, z: 2, r: 1, y: 1}. What is prob of picking 1 r and 1 q? 2/21 Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {o: 3, w: 1, v: 1, r: 10, p: 3, n: 1}. 1/57 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {k: 2, j: 2}. 2/3 Three letters picked without replacement from nqynnynnnnnynnnn. What is prob of picking 1 q, 1 y, and 1 n? 9/140 What is prob of picking 1 v and 1 c when two letters picked without replacement from {c: 2, k: 2, v: 1, j: 1}? 2/15 What is prob of picking 1 r and 1 l when two letters picked without replacement from {r: 10, l: 9}? 10/19 Three letters picked without replacement from {i: 8, r: 3}. What is prob of picking 1 r and 2 i? 28/55 Calculate prob of picking 1 n, 1 a, and 2 b when four letters picked without replacement from {a: 2, c: 3, i: 3, n: 3, b: 3, m: 1}. 6/455 What is prob of picking 2 b when two letters picked without replacement from bbbibbbbibibibbbbbi? 91/171 Three letters picked without replacement from zzzzzzzzztzzz. Give prob of picking 3 z. 10/13 Three letters picked without replacement from ffffffffff. Give prob of picking 3 f. 1 Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrurrrrrrrrrr. 15/19 Three letters picked without replacement from {f: 1, z: 2, e: 2, v: 1, w: 1}. Give prob of picking 1 w, 1 f, and 1 e. 2/35 Two letters picked without replacement from bvvbtt. Give prob of picking 2 t. 1/15 Three letters picked without replacement from qdfdyhdqfhfzqdfhqf. What is prob of picking 3 d? 1/204 Four letters picked without replacement from {b: 1, f: 2, x: 5, v: 1, s: 7}. What is prob of picking 4 x? 1/364 Calculate prob of picking 2 g and 2 y when four letters picked without replacement from {y: 2, g: 4}. 2/5 Two letters picked without replacement from {c: 4, f: 3}. Give prob of picking 1 c and 1 f. 4/7 Two letters picked without replacement from kigffsq. What is prob of picking 1 q and 1 g? 1/21 Two letters picked without replacement from {e: 1, r: 5, y: 2, o: 1}. Give prob of picking 1 r and 1 o. 5/36 Three letters picked without replacement from rzrlllrlz. Give prob of picking 2 z and 1 r. 1/28 Four letters picked without replacement from vzzzavazzzzaazzzaaz. Give prob of picking 1 a, 2 v, and 1 z. 11/646 What is prob of picking 1 b and 3 e when four letters picked without replacement from eebbbb? 0 Calculate prob of picking 2 f when two letters picked without replacement from {f: 10, s: 4}. 45/91 Calculate prob of picking 3 y and 1 g when four letters picked without replacement from yggyy. 2/5 What is prob of picking 1 c and 1 f when two letters picked without replacement from ccccfcff? 15/28 Three letters picked without replacement from wwwwhhhwnhbwwyhywwww. Give prob of picking 2 w and 1 b. 11/228 Two letters picked without replacement from {o: 2, n: 1}. Give prob of picking 1 o and 1 n. 2/3 What is prob of picking 1 a, 1 d, and 1 z when three letters picked without replacement from dbbbabdbbddbbbbpdzba? 1/114 What is prob of picking 4 l when four letters picked without replacement from lljllllljlll? 14/33 Two letters picked without replacement from wwwwwwwwwwwwbwwwwwnw. Give prob of picking 1 w and 1 b. 9/95 Two letters picked without replacement from qyqtytyyqbyybtyty. What is prob of picking 1 t and 1 b? 1/17 Two letters picked without replacement from entevtevnsetnseses. What is prob of picking 2 v? 1/153 Four letters picked without replacement from mjqmjmmjjjqjq. What is prob of picking 1 m and 3 q? 4/715 Three letters picked without replacement from {e: 3, g: 4, j: 1, l: 3, c: 2, k: 3}. What is prob of picking 2 g and 1 j? 3/280 Two letters picked without replacement from {a: 2, z: 2}. What is prob of picking 1 a and 1 z? 2/3 Two letters picked without replacement from {j: 2, a: 3}. Give prob of picking 2 j. 1/10 Three letters picked without replacement from qzqcqcwzqqqqqwqwqqzq. Give prob of picking 1 w, 1 z, and 1 c. 3/190 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from yyyzpnzzzzzyp. 4/39 Three letters picked without replacement from {w: 2, g: 11, p: 1, j: 2}. Give prob of picking 1 p, 1 j, and 1 w. 1/140 Two letters picked without replacement from {v: 3, i: 3}. Give prob of picking 1 v and 1 i. 3/5 Three letters picked without replacement from {f: 14, h: 1}. What is prob of picking 3 f? 4/5 Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {t: 8, i: 2, h: 3, a: 3}. 3/40 Four letters picked without replacement from eediueguggeeiieugge. What is prob of picking 3 i and 1 g? 5/3876 Three letters picked without replacement from {s: 2, a: 8, m: 3, e: 4}. Give prob of picking 2 e and 1 s. 3/170 Four letters picked without replacement from {h: 4, q: 6, t: 2}. Give prob of picking 1 h, 2 q, and 1 t. 8/33 Four letters picked without replacement from mahmctaacmfcmmm. What is prob of picking 2 a and 2 c? 3/455 Four letters picked without replacement from khhvkhkhogrkkghrh. What is prob of picking 1 g, 1 r, 1 h, and 1 v? 6/595 Calculate prob of picking 1 q, 2 l, and 1 s when four letters picked without replacement from {s: 5, d: 3, l: 3, z: 2, q: 2}. 2/91 What is prob of picking 2 d when two letters picked without replacement from {d: 17, l: 3}? 68/95 Two letters picked without replacement from {h: 4, e: 10}. Give prob of picking 1 h and 1 e. 40/91 What is prob of picking 2 t and 2 h when four letters picked without replacement from {t: 5, u: 6, h: 2}? 2/143 Three letters picked without replacement from rulzulrzlzurr. What is prob of picking 1 z, 1 u, and 1 l? 27/286 Four letters picked without replacement from brrbrbbrbzbzb. What is prob of picking 2 r and 2 b? 126/715 Three letters picked without replacement from {l: 17, z: 2}. What is prob of picking 3 l? 40/57 Calculate prob of picking 3 s when three letters picked without replacement from scccsssscssssssssss. 455/969 Four letters picked without replacement from {p: 5, n: 9}. What is prob of picking 3 p and 1 n? 90/1001 Calculate prob of picking 3 x and 1 a when four letters picked without replacement from {x: 3, a: 5, f: 6, v: 1}. 1/273 What is prob of picking 3 w when three letters picked without replacement from {w: 11, e: 3}? 165/364 What is prob of picking 4 o when four letters picked without replacement from ookooooooook? 14/33 Calculate prob of picking 3 v when three letters picked without replacement from dvvvddv. 4/35 What is prob of picking 1 e and 1 o when two letters picked without replacement from innioe? 1/15 Three letters picked without replacement from jfjjfj. Give prob of picking 2 f and 1 j. 1/5 Calculate prob of picking 1 w and 1 c when t
{ "pile_set_name": "DM Mathematics" }
23 What are the prime factors of 71004? 2, 3, 61, 97 What are the prime factors of 6005? 5, 1201 List the prime factors of 16. 2 What are the prime factors of 42824? 2, 53, 101 List the prime factors of 14778. 2, 3, 821 List the prime factors of 2305. 5, 461 What are the prime factors of 46979? 109, 431 List the prime factors of 8695. 5, 37, 47 List the prime factors of 42. 2, 3, 7 List the prime factors of 53372. 2, 11, 1213 List the prime factors of 4014. 2, 3, 223 List the prime factors of 7743. 3, 29, 89 List the prime factors of 76. 2, 19 List the prime factors of 7635. 3, 5, 509 What are the prime factors of 12061? 7, 1723 List the prime factors of 255. 3, 5, 17 What are the prime factors of 5933? 17, 349 What are the prime factors of 5053? 31, 163 What are the prime factors of 486? 2, 3 List the prime factors of 1707. 3, 569 What are the prime factors of 9380? 2, 5, 7, 67 List the prime factors of 10586. 2, 67, 79 List the prime factors of 5282. 2, 19, 139 List the prime factors of 584. 2, 73 List the prime factors of 6473. 6473 What are the prime factors of 17144? 2, 2143 What are the prime factors of 18287? 18287 List the prime factors of 5157. 3, 191 What are the prime factors of 88218? 2, 3, 13, 29 List the prime factors of 51284. 2, 12821 What are the prime factors of 17678? 2, 8839 List the prime factors of 37406. 2, 59, 317 List the prime factors of 22414. 2, 7, 1601 List the prime factors of 1359. 3, 151 What are the prime factors of 13542? 2, 3, 37, 61 What are the prime factors of 3736? 2, 467 What are the prime factors of 1306? 2, 653 List the prime factors of 10026. 2, 3, 557 List the prime factors of 1550. 2, 5, 31 What are the prime factors of 330? 2, 3, 5, 11 List the prime factors of 232. 2, 29 What are the prime factors of 3756? 2, 3, 313 What are the prime factors of 117688? 2, 47, 313 List the prime factors of 71250. 2, 3, 5, 19 What are the prime factors of 3029? 13, 233 List the prime factors of 2230. 2, 5, 223 List the prime factors of 12344. 2, 1543 List the prime factors of 810. 2, 3, 5 List the prime factors of 61767. 3, 6863 What are the prime factors of 362? 2, 181 What are the prime factors of 1453? 1453 What are the prime factors of 5725? 5, 229 List the prime factors of 467. 467 What are the prime factors of 1096? 2, 137 List the prime factors of 4617. 3, 19 What are the prime factors of 4003? 4003 What are the prime factors of 1840? 2, 5, 23 What are the prime factors of 669? 3, 223 What are the prime factors of 1261? 13, 97 List the prime factors of 57. 3, 19 List the prime factors of 1160. 2, 5, 29 List the prime factors of 2720. 2, 5, 17 What are the prime factors of 14554? 2, 19, 383 What are the prime factors of 630? 2, 3, 5, 7 List the prime factors of 553. 7, 79 List the prime factors of 15270. 2, 3, 5, 509 What are the prime factors of 8549? 83, 103 What are the prime factors of 579? 3, 193 List the prime factors of 2578. 2, 1289 List the prime factors of 104210. 2, 5, 17, 613 List the prime factors of 2264. 2, 283 List the prime factors of 1608. 2, 3, 67 What are the prime factors of 11411? 11411 List the prime factors of 2779. 7, 397 What are the prime factors of 11570? 2, 5, 13, 89 What are the prime factors of 11291? 7, 1613 List the prime factors of 6714. 2, 3, 373 What are the prime factors of 79? 79 What are the prime factors of 4287? 3, 1429 What are the prime factors of 2301? 3, 13, 59 List the prime factors of 13033. 13033 What are the prime factors of 1160? 2, 5, 29 List the prime factors of 7024. 2, 439 What are the prime factors of 19667? 71, 277 List the prime factors of 34509. 3, 11503 List the prime factors of 10763. 47, 229 What are the prime factors of 138641? 138641 List the prime factors of 26657. 19, 23, 61 List the prime factors of 132513. 3, 44171 What are the prime factors of 110925? 3, 5, 17, 29 What are the prime factors of 328? 2, 41 List the prime factors of 1036. 2, 7, 37 What are the prime factors of 1598? 2, 17, 47 What are the prime factors of 2198? 2, 7, 157 What are the prime factors of 58642? 2, 109, 269 List the prime factors of 180763. 11, 16433 List the prime factors of 81457. 81457 List the prime factors of 2382. 2, 3, 397 What are the prime factors of 9010? 2, 5, 17, 53 List the prime factors of 22532. 2, 43, 131 List the prime factors of 353. 353 What are the prime factors of 6683? 41, 163 List the prime factors of 911. 911 List the prime factors of 8784. 2, 3, 61 List the prime factors of 783. 3, 29 What are the prime factors of 94267? 107, 881 What are the prime factors of 1257? 3, 419 List the prime factors of 3607. 3607 What are the prime factors of 894? 2, 3, 149 List the prime factors of 169. 13 What are the prime factors of 387? 3, 43 List the prime factors of 924. 2, 3, 7, 11 What are the prime factors of 2877? 3, 7, 137 List the prime factors of 47456. 2, 1483 List the prime factors of 745. 5, 149 List the prime factors of 34924. 2, 8731 List the prime factors of 1993. 1993 What are the prime factors of 12711? 3, 19, 223 What are the prime factors of 27791? 27791 List the prime factors of 1525. 5, 61 List the prime factors of 135. 3, 5 What are the prime factors of 1022? 2, 7, 73 List the prime factors of 21189. 3, 7, 1009 List the prime factors of 489. 3, 163 What are the prime factors of 3156? 2, 3, 263 What are the prime factors of 11438? 2, 7, 19, 43 What are the prime factors of 1331? 11 What are the prime factors of 16822? 2, 13, 647 What are the prime factors of 5720? 2, 5, 11, 13 List the prime factors of 414. 2, 3, 23 What are the prime factors of 71219? 229, 311 What are the prime factors of 16296? 2, 3, 7, 97 List the prime factors of 52193. 19, 41, 67 List the prime factors of 949. 13, 73 List the prime factors of 139087. 13, 823 What are the prime factors of 66045? 3, 5, 7, 17, 37 What are the prime factors of 1302? 2, 3, 7, 31 What are the prime factors of 14093? 17, 829 What are the prime factors of 1054? 2, 17, 31 List the prime factors of 3380. 2, 5, 13 List the prime factors of 7682. 2, 23, 167 What are the prime factors of 409? 409 List the prime factors of 361. 19 What are the prime factors of 93? 3, 31 What are the prime factors of 2626? 2, 13, 101 What are the prime factors of 23446? 2, 19, 617 List the prime factors of 1458. 2, 3 What are the prime factors of 6253? 13, 37 What are the prime factors of 39656? 2, 4957 List the prime factors of 90. 2, 3, 5 List the prime factors of 17922. 2, 3, 29, 103 List the prime factors of 16004. 2, 4001 What are the prime factors of 41384? 2, 7, 739 List the prime factors of 14887. 14887 What are the prime factors of 8858? 2, 43, 103 List the prime factors of 36629. 36629 What are the prime factors of 22190? 2, 5, 7, 317 List the prime factors of 4399. 53, 83 What are the prime factors of 23248? 2, 1453 List the prime factors of 63743. 63743 List the prime factors of 9036. 2, 3, 251 List the prime factors of 135. 3, 5 List the prime factors of 6741. 3, 7, 107 List the prime factors of 9268. 2, 7, 331 List the prime factors of 88533. 3, 1093 What are the prime factors of 13187? 13187 List the prime factors of 94909. 107, 887 What are the prime factors of 6927? 3, 2309 What are the prime factors of 27850? 2, 5, 557 What are the prime factors of 5847? 3, 1949 List the prime factors of 103. 103 List the prime factors of 140. 2, 5, 7 List the prime factors of 73655. 5, 14731 What are the prime factors of 1529? 11, 139 What are the prime factors of 104347? 104347 List the prime factors of 46667. 23, 2029 List the prime factors of 2671. 2671 List the prime factors of 2186. 2, 1093 What are the prime factors of 4351? 19, 229 List the prime factors of 7102. 2, 53, 67 List the prime factors of 66007. 149, 443 List the prime factors of 75055. 5, 17, 883 What are the prime factors of 115502? 2, 57751 What are the prime factors of 373? 373 What are the prime factors of 59343? 3, 131, 151 What are the prime factors of 1255? 5, 251 List the prime factors of 11238. 2, 3, 1873 List the prime factors of 2442. 2, 3, 11, 37 What are the prime factors of 6431? 59, 109 List the prime factors of 109307. 11, 19, 523 What are the prime factors of 83229? 3, 27743 List the prime factors of 101804. 2, 31, 821 Lis
{ "pile_set_name": "DM Mathematics" }
) be the third derivative of -2*k**5/3 + 3*k**4/8 - 5*k**3/6 + 63*k**2. What is the second derivative of c(b) wrt b? -80 Let v = -385 - -387. Let j(k) be the second derivative of 0 + 7/2*k**v - 7/6*k**3 + 3*k. Find the first derivative of j(b) wrt b. -7 Suppose -2*n - 1 = -4*l + 1, -3*l = -n - 4. Differentiate -2*b**3 - 4 + 4*b**l + 15 - 6 with respect to b. 6*b**2 Let z(l) be the third derivative of -199*l**4/8 - 177*l**3/2 + 24*l**2 - 8*l. Differentiate z(q) with respect to q. -597 Let q(u) = -317*u - 539. Let v(w) = w + 9. Let m(i) = -2*q(i) - 8*v(i). What is the derivative of m(y) wrt y? 626 Suppose 0 = 5*d - 5, 0*a + 2*d = -a + 6. What is the second derivative of 8*u**4 - 7*u + 11*u**4 - 15*u**a wrt u? 48*u**2 Let c(j) be the third derivative of j**6/8 + 8*j**3/3 - 60*j**2. What is the first derivative of c(t) wrt t? 45*t**2 Let w(k) = k**3 - 6*k**2 + 3*k - 7. Let d be w(6). Find the third derivative of -23*q**2 + d*q**5 + 6*q**5 + 12*q**2 wrt q. 1020*q**2 Let s(p) be the first derivative of -p**6/3 + 16*p**4 + 32*p**3/3 - 64. Find the third derivative of s(r) wrt r. -120*r**2 + 384 Let m(k) = -k**3 + 5*k**2 - 2*k - 3. Let j be m(4). What is the first derivative of -9*n**3 - 9*n**3 - 7 + j*n**3 wrt n? -39*n**2 Suppose 20*x + 63 = -x. Let j(o) = -o**2 - 2*o. Let a(p) = 3*p**2 - p**2 - 2*p - 3*p**2. Let d(q) = x*a(q) + 2*j(q). Find the second derivative of d(h) wrt h. 2 Let g(i) = 2256*i**2 - 24*i - 2792. Let k(x) = -453*x**2 + 5*x + 558. Let m(w) = 5*g(w) + 24*k(w). Differentiate m(u) with respect to u. 816*u What is the third derivative of -15*s**4 + 39*s**4 - 1 + 154*s**5 - 24*s**4 + 80*s**5 + 272*s**2 wrt s? 14040*s**2 Suppose 0 = 4*y + 4*q - 216, -2*q - 3 = -9. What is the second derivative of 24*u - 10*u**2 - y*u - 11*u**2 - 3*u**2 wrt u? -48 Suppose 0 = 4*x - 5*x + 25. Let d = x - 21. Find the second derivative of 7*z + 7*z**d + 4*z - 2*z + 2*z**4 wrt z. 108*z**2 Let i be ((-24)/15)/(2/(-5)) + -4. Let l(y) be the first derivative of 1 + 1/3*y**3 + y + i*y**2. Find the first derivative of l(g) wrt g. 2*g Find the second derivative of -610*z - 79*z**2 - 80*z**2 + 245*z**2 - 868*z**3 - 86*z**2 wrt z. -5208*z Let j(q) be the first derivative of -38/3*q**3 + 0*q + 0*q**2 - 38 - 15/2*q**4. Find the third derivative of j(d) wrt d. -180 Let y(j) be the third derivative of j**7/105 - 41*j**6/60 + 187*j**4/12 + 3*j**2 - 2. Find the second derivative of y(b) wrt b. 24*b**2 - 492*b Suppose 3 = 4*q + 3*r, 3*q + 3 = q - 3*r. Suppose -7*c + q*c + 36 = 0. Find the second derivative of c*t + 3*t**3 - 14*t - 2*t**3 wrt t. 6*t Let u(l) = 274*l**2 + 151*l + 6. Let m(f) = 276*f**2 + 153*f + 8. Let w(d) = -3*m(d) + 4*u(d). Find the second derivative of w(q) wrt q. 536 Let k = 16 - 14. Let v be 3/2 - (-3)/k. What is the first derivative of -3*x**2 + 0 - v + 0 + 1 wrt x? -6*x Let g(h) = -873*h - 658. Let n(p) = 6100*p + 4604. Let u(l) = 20*g(l) + 3*n(l). Find the first derivative of u(q) wrt q. 840 Let s(l) = 115*l**3 - 105*l - 5. Let w(g) = 172*g**3 - 157*g - 7. Let v(b) = -7*s(b) + 5*w(b). Find the second derivative of v(z) wrt z. 330*z Suppose -5*i = -i + 476. Let l be (-1)/(-3) - i/21. Differentiate 0*b + b + b - l - 3*b with respect to b. -1 Let m = 84 + -47. What is the third derivative of 15*g**3 + g**2 + 26*g**3 - m*g**3 wrt g? 24 Let a = 73 - 63. Find the first derivative of 12 + 4*s - a*s + 16*s + 15*s wrt s. 25 Let i(q) be the second derivative of 23*q**6/5 - 42*q**2 - 12*q. What is the first derivative of i(s) wrt s? 552*s**3 Suppose 0 = v + 21 - 21. Let f(k) be the third derivative of 1/30*k**5 + 0*k**3 + 1/24*k**4 + v + 7*k**2 + 0*k. Find the second derivative of f(j) wrt j. 4 Suppose 22 = 2*o + o + 5*r, -4*o + 8 = -4*r. Find the third derivative of 18*t**2 - 68*t**2 + 31*t**o + 33*t**2 wrt t. 744*t Find the second derivative of -4332*l - 32*l**3 + 23*l**3 - 43*l**3 + l**2 + 3953*l wrt l. -312*l + 2 Let o(w) be the third derivative of 13*w**7/105 - w**5/60 + 17*w**4/24 + 2*w**2 + 49*w. Find the third derivative of o(l) wrt l. 624*l Let a = 24 + -9. What is the third derivative of -9*x**3 - 10*x**2 + 15*x - a*x wrt x? -54 Let t(m) be the first derivative of m**5 + 30 - m**5 + 81*m**2 - 5*m**6 - 82*m**2. What is the second derivative of t(f) wrt f? -600*f**3 Find the first derivative of -19*a**2 + 16 + 30*a**2 - 106 - 3*a**4 wrt a. -12*a**3 + 22*a Let z(g) be the first derivative of 0*g**5 + 0*g**2 + 0*g + 52 + 0*g**4 - 47/6*g**6 + 55/3*g**3. Find the third derivative of z(f) wrt f. -2820*f**2 Let p(y) = -199*y**3 - 11*y**2 + 34. Let i(v) = -398*v**3 - 24*v**2 + 67. Let d(q) = 6*i(q) - 13*p(q). Find the third derivative of d(k) wrt k. 1194 Let u(k) be the third derivative of -11*k**6/360 + k**4/8 - 2*k**3/3 + 2*k**2. Let w(z) be the first derivative of u(z). What is the derivative of w(m) wrt m? -22*m Let s(w) be the first derivative of -21*w**5/5 + 5*w**4/4 + w**2/2 + 5*w + 21. What is the second derivative of s(y) wrt y? -252*y**2 + 30*y Find the first derivative of 131*b**4 + 162 - 57 - 172 - 102 wrt b. 524*b**3 Let h(l) be the second derivative of 279*l**8/28 - 103*l**4/6 - 385*l. What is the third derivative of h(c) wrt c? 66960*c**3 Let y(f) be the first derivative of -259*f**3/3 + 192*f + 639. Find the first derivative of y(c) wrt c. -518*c Let h(m) be the second derivative of 4*m**4 + m**3/6 - 84*m**2 - 189*m. What is the first derivative of h(z) wrt z? 96*z + 1 Let y be ((-1)/2)/((-1)/8). Suppose 7 + 9 = 4*r. What is the third derivative of 4*z**y + 3*z**6 - 4*z**r + 0*z**2 + 5*z**2 wrt z? 360*z**3 Let q(w) be the first derivative of -311*w**2/2 - 522*w - 521. Differentiate q(k) with respect to k. -311 Let m = 31 - 32. Let n be (-3 - (-6)/2)/m. Find the first derivative of -4 + n + 3 + 3 - 2*z**2 wrt z. -4*z Let u be 78/9*-3*(-3 - -2). Find the second derivative of 38*b**4 + 8*b - 19*b**4 - u*b**4 wrt b. -84*b**2 Let q(s) be the first derivative of -14/5*s**5 + 0*s**4 - 9 + 0*s**3 - 4*s + 0*s**2. What is the derivative of q(p) wrt p? -56*p**3 What is the first derivative of 58 - 23*i - 18*i - i**2 + 71*i - 31*i wrt i? -2*i - 1 Let j(q) be the second derivative of 0*q**4 + 0*q**3 + 0 + q - 9/2*q**2 + 1/4*q**5. What is the first derivative of j(s) wrt s? 15*s**2 Let f(d) = -d + 1. Let u(o) = -o**2 - 8*o + 5. Let t(i) = 3*f(i) - u(i). Let s be t(-6). Find the first derivative of -20 - 6*k**4 + 25 + 3*k**s wrt k. -12*k**3 Let r(i) = i**4 + i**2. Let v(k) = -28*k**4 - 30*k**2. Let a = 11 - 14. Let o(x) = a*r(x) - v(x). Find the third derivative of o(n) wrt n. 600*n What is the second derivative of -13*s - 8*s**3 - 14*s + 29*s + 7*s**2 wrt s? -48*s + 14 Find the third derivative of -30*t**2 + 8*t - 35*t + 133*t**5 - 61*t + 28*t**2 + 19*t wrt t. 7980*t**2 Let d = -17 - -29. Suppose 2*b - 6 = p, -2*b + 7*b - p - d = 0. Differentiate -7*c**2 - 5 + 2*c**2 + 0*c**b + 1 wrt c. -10*c What is the second derivative of -54*w**2 + 140*w + 42 - 89 + 47 wrt w? -108 Let b be 4/(-32)*(-64)/80. Let i(z) be the second derivative of 7/12*z**4 + 0*z**2 + 4*z + 0*z**3 + 0 + b*z**5. What is the third derivative of i(y) wrt y? 12 Let p = 129 + -127. Differentiate 25*y + 76 - 42 - p*y**4 + 11*y with respect to y. -8*y**3 + 36 Find the third derivative of -51*k**2 + 555*k**2 - 12*k**5 + 15*k**5 + 6*k**5 + 6*k**4 wrt k. 540*k**2 + 144*k Let i(k) be the first derivative of -11/2*k**2 + 0*k**3 + 0*k**4 + 13 + 0*k - 8/5*k**5. What is the second derivative of i(v) wrt v? -96*v**2 What is the second derivative of -54*u**2 - 3*u + 4*u**4 + 1223 - 4*u**4 - 4*u**4 - 606 - 632 wrt u? -48*u**2 - 108 What is the derivative of -11*b**2 + 18*b**2 - 5*b**3 + 45 + 5*b**2 wrt b? -15*b**2 + 24*b Differentiate 137*m + 136*m + 4*m**4 - 275*m - 154 wrt m. 16*m**3 - 2 Let h be ((-3)/(-6))/(4/8). Let u be -12*4*h/(-6). Differentiate 5 + 5 + u + 8*y**4 - 13 wrt y. 32*y**3 Let y(i) be the first derivative of 200*i**3/3 - 9*i**2/2 + 63. What is the second derivative of y(p) wrt p? 400 Let d(v) be the second derivative of 0 - 17/6*v**3 + 13*v + 0*v**2 - 1/2*v**4. What is the second derivative of d(t) wrt t? -12 Let m(a) = 20*a**3 - 2*a - 17. Let k(r) = 281*r - 136*r - 134*r + 86 - 101*r**3. Let h(x) = 2*k(x) + 11*m(x). What is the derivative of h(c) wrt c? 54*c**2 Let r(b) be the first d
{ "pile_set_name": "DM Mathematics" }
e 5*q = f - 1, 2*q + m*f + 10 + 12 = 0 for q. -1 Suppose -8*v - 5*a + 35 = -7*v, -3*v - a = -63. Suppose 10*j + v = 60. Solve 3*b - 4*x + 9 = -0*b, -j*b - 4*x - 12 = 0 for b. -3 Let b = 24 + -22. Let y(w) = -w - 16. Let a(k) = -k. Let m(q) = 4*a(q) + y(q). Let s be m(-4). Solve -s - 2 = 2*u - 2*f, b*u = 5*f - 21 for u. 2 Let k be 10/(-35) - (-108)/(-14). Let o be k/2 - (-49)/7. Suppose 2*h = h + o. Solve 5*i + 20 = 0, -h*i + 0*i = -3*w for w. -4 Let j(h) = h**3 - 15*h**2 + 18*h - 29. Let a be j(14). Let u = 32 - a. Let o = -283 - -285. Solve u*n = -o*x + x - 21, -4*n = -4*x + 36 for x. 4 Suppose 10*h = 152 + 48. Suppose 13*m - 9*m + h = 0. Let c be ((-170)/50 - 6/(-2))*m. Solve 5 = 5*l, 5*w - c*w - 4*l + 13 = 0 for w. -3 Let f = 2221 - 2209. Solve -3*v + 2*o + 8 = 0, 3*o = -v + 6*v - f for v. 0 Let w be 0/(2 + 1/(-1)). Suppose -5*r - 139 + 112 = -4*k, -36 = 12*r. Solve -k*s + b = w, 0*s = 4*s - b for s. 0 Let q(n) be the third derivative of -n**5/30 + 7*n**3/6 + 2*n**2 - 24*n. Let c be q(0). Solve 4 = -2*j, -2*j + c = -3*s - j for s. -3 Suppose -16 = -4*p - p + 2*l, -5*l = 2*p + 11. Let x be (2/(-2) - p)/(-1). Let f be (-5 - (-19)/x)*(-1 - -19). Solve 5*c + o = -0*o + f, -5*o = -3*c - 8 for c. 4 Let o be (-3 - (-261)/12)/((-6)/(-16)). Suppose 0 = -7*z + o + 34. Suppose -z*g = -14*g + 10. Solve -16 = -4*b - m, -5*m - g = 3*b - 0*b for b. 5 Suppose 2*q = -3*j - 9, 3 = -5*j - 12. Suppose q = 4*m + 124 - 172. Solve 5*z = 2*x - 0 - 6, m = 4*x + z for x. 3 Suppose 0 = -2*v + 1861*i - 1858*i + 72, -93 = -3*v + 2*i. Solve -k = -3*d - 2*d - v, 23 = -k - 5*d for k. 2 Let y(n) = n**3 + 4*n**2 - 4*n - 13. Let d be y(-2). Solve 4*i + 0*p = d*p + 2, 0 = -2*i + 3*p + 4 for i. -1 Let y(i) = -9*i - 343. Let z = 818 - 857. Let j be y(z). Solve -5*o = -s - j + 18, -5*s + o = -26 for s. 5 Let k(h) = -3*h**2 + 71*h - 314. Let s be k(6). Solve -y + 7 = u, s*u = -y + 189 - 176 for y. 5 Let q(r) = -4*r + 143. Let o be q(25). Suppose o = 14*j + 15. Solve 0 = 2*c + 3*k + 2*k + 8, 2*k = -2*c - j for c. 1 Let q = -91 - -106. Let i be (-5 - (-69)/q)*225/(-3). Solve z + 2*z - i = 5*a, -3*z = 5*a for z. 5 Let t = -92 - -111. Let j(b) = -5*b + 101. Let q be j(t). Solve 5*w + 5 = 0, -3 = -4*z + w - q*w for z. 2 Let t = 374949 - 374944. Let d be (12/15)/(1/5). Suppose x + 0*x = d. Solve 8 = 5*b - 3*n, 0*b = t*b - x*n - 4 for b. 4 Suppose 2*l + 3*l - 48 = 7*v, 2*l - 24 = 4*v. Solve 3*d + 5 = -5*p, l*p = -23*d + 27*d + 28 for d. -5 Let t be 945/90*(-16)/(-84). Let l(r) = -2*r**3 - 3*r**2 - r - 1. Let z be l(-2). Solve 0 = z*p - 4*s + 5, -2*p + s + 4*s = t for p. -1 Suppose 0 = 2*i + 2*m + 4, -4*i + 5*m + 1 = -36. Suppose 18*z - 75 = i*z. Solve z*q - f - 22 = 0, 26 = 3*q + 2*q - 3*f for q. 4 Let f(l) = l**2 - 2*l - 109. Let w be f(12). Solve 4*i = 3*c + 13, -4*c + 12 = -w*i + 13*i for i. 4 Let p be 4 + -5*2/(-5). Let k(j) = -j**3 + 6*j**2 + 21. Let c be k(p). Suppose -2*w = -4*w + 6. Solve 2*n + 2*b - 3*b = 2, -w*b + c = 3*n for n. 3 Let b(x) = -2*x**2 - 31*x + 12. Let g be b(-15). Let a be ((-2)/9)/((-3)/g). Solve 15 = 3*o, 5*c - o = -a*o + 25 for c. 4 Suppose -2*s = -4*o - 1542, -4*s + 369 - 1929 = 4*o. Let u = o + 391. Solve -21 = -4*j + 5*r, 0 = 4*j + 2*r - u - 10 for j. 4 Let i(h) = -h**2 + 45*h - 502. Let x be i(22). Solve 0*n - 2*n = q + 8, 0 = -x*n - q - 14 for n. -3 Suppose -87 = -4*a - 0*a - 5*r, 2*r - 67 = -3*a. Solve 4*u = 3*s + 2, 25*s - a*s = u - 3 for u. -1 Suppose -2*j + 2 + 4 = 0. Let p(h) = 6*h - 48. Let o be p(8). Suppose -9*s + 16 = -5*s. Solve -5*n = 4*a + j, 0*n - 2*n - s*a - 6 = o for n. 1 Let z(a) = 41*a + 670. Let c be z(-16). Solve -3*x - 31 = -c*n + 18*n, 0 = 3*n - 4*x - 8 for n. -4 Let b(j) = 18*j**3 - 7*j**2 + j + 4. Let c be b(1). Solve 0*a + a = -5*p - 20, 5*a = -4*p - c for p. -4 Suppose 181*l - 143 - 762 = 0. Solve 5*w - l*r + 0*r + 25 = 0, 2*w = -2*r + 6 for w. -1 Let x(g) be the second derivative of g**3/6 - 3*g**2/2 - g. Let j be 10 + (-1 - 14) + 8. Let h be x(j). Solve 16 = 4*o, -y + 8*o - 3*o - 19 = h for y. 1 Let t = 535 - 533. Suppose -4*y + t*y = -18*y. Solve w - 8*x + 7 = -4*x, -2*w + x = y for w. 1 Let g = -7 + 14. Suppose -5*c + 34 = 2*n + 10, 0 = 5*n - 2*c - 2. Solve 3*k + n*l - 6 = g*l, -2 = -k + 2*l for k. 2 Let n(k) = -21*k - 14. Let w(s) = -10*s - 6. Let r(j) = 2*n(j) - 5*w(j). Let d be r(1). Solve 5*g = 3*a - d, 10 = 3*a - a - 4*g for a. -5 Let j = -1051 + 1053. Suppose 0 = 2*a + 1 - 3. Suppose -3*i + a = -4*k + 12, 2*i + 3*k = 21. Solve -j*x - 8 = 0, -i*x - x - 17 = u for u. -1 Let f be (2/(-6))/(-3*(-2)/(-108)). Let j(x) = -6*x - f + 5*x**2 + 10 - 2*x**2. Let c be j(2). Solve -3*w - 24 = c*k - 7*w, 3 = -3*k - 2*w for k. -3 Let b be 22/5 - (-2)/(-5). Suppose -2*i = -3*t - 0*t - 17, -i - t = -6. Suppose 278*y - 47 = 279*y + 6*k, -y - 3*k = 14. Solve p = -4*q - i, 5*q = -y + b for p. 5 Let a be (-123)/(-6)*80/(13 + -3). Suppose -a + 152 = -4*b. Let w be 3*(10/3 + 0). Solve -b*j + f + 6 = -9, -5*f = -2*j + w for j. 5 Let j(n) = 8*n**2 + 41*n + 7. Suppose -2*o - 3*w + 18 = -5*o, -20 = 5*o + 5*w. Let y be j(o). Solve 5*m + 14 = -y*g - 13, m + 3*g + 8 = 0 for m. -5 Let d be (0 - 3)*(-4)/3. Let t = 172 - 97. Suppose -54*f = -t*f + 84. Solve -d = 4*j - f*m, m = -0 - 1 for j. -2 Suppose -4*r + 20 = r. Suppose 0 = 2*m - 2*i - 10, 0 = 10*m - 14*m + 3*i + 20. Solve 0 = 5*l - 15, -6 = -3*a - r*l + m*l for a. 3 Let w(d) = 10*d + 55. Let o be w(-5). Suppose 3*c = -o*q + 8, 4*c - 11 - 43 = 2*q. Solve c = 3*a + 2*x, -a + 5*x = 2*a - 4 for a. 3 Let b = 67 + -55. Suppose 10*g - 4*d = 12*g, 2*g - d - 5 = 0. Solve -2*w + 5*f - b = -w, -g*w + 5*f = 9 for w. 3 Let n = -152 - -172. Let i be ((-9)/(-5))/(12/n). Solve 2*p + m + 9 = 0, m + 16 = -4*p - i*m for p. -5 Suppose -4*t = -2*u - u + 4, 5*t + 5 = 2*u. Suppose -120*h - 8 = -143 - 225. Solve -2*p + 2*x + 2 = 0, u*x = x + h for p. -2 Let p = -470 - -470. Suppose -22*t + 19*t + 12 = p. Solve -u - t*k + 6 = -6*u, -28 = -4*u - 5*k for u. 2 Let a(k) = -k + 19. Let h = -180 - -183. Let m be a(h). Solve 6 = j - c, -2*j = -0*j - 3*c - m for j. 2 Suppose 28 = 7*c - 0*c. Suppose -50 = -c*p - 6*p. Suppose -13 = -p*q + 7. Solve 5*b - 3*v + 2*v = q, -3*b + 16 = -4*v for b. 0 Let u(y) = y**3 + 3*y**2 - 208*y + 14. Let f be u(-16). Solve -g = -q + f - 13, -3*q + 27 = 3*g for q. 5 Let j = 727 - 725. Suppose -6*u = j*n - 5*u - 5, 0 = -3*n - 4*u - 5. Solve -3*r + n*v - 2 = 0, 0*r = -4*r - 3*v + 7 for r. 1 Let d(h) = 7*h + 52. Let y be d(-8). Let n(z) = -2*z**3 - 7*z**2 - z + 1. Let f be n(y). Solve f = g - 4*v, 2*g - g + 4 = -v for g. 1 Let w = 24 - 35. Let d = -3 - w. Suppose 14261*s - 5 = 14260*s. Solve x - 2*i = -x + d, -s*i = 5*x for x. 2 Suppose -3*s + 4*i + 171 = -6*s, -2*i = 3*s + 165. Let l(c) = -63*c + 65. Let n be l(0). Let x = s + n. Solve -4*q = 4*h - 20, 3*h + x = 3*q + 3 for q. 4 Let c = 54 + -30. Let a be (2/3 - (-56)/c) + -3. Suppose -15 = -5*y, -3*y = -s - 4 - a. Solve -4*d + 9 = -s*l - 21, -8 = -2*d - l for d. 5 Suppose -3*s = -s - 38. Suppose 2*t - 5*n - s = -83, -5*t + 3*n - 160 = 0. Let p = t - -36. Solve -i - 11 = p*d + 8, 5*d = -4*i - 32 for i. -3 Suppose -259 - 371 = -9*a. Suppose 62*g - 60*g = a. Solve 3*x - g = -5*c - 2*x, 0 = -4*x + 8 for c. 5 Suppose 2*b + a - 347 = 0, 0 = 3*a + a - 4. Solve 176*s + v = b*s - 11, 3*s = 3*v - 3 for s. -3 Let y(b) = -12*b**2 + 5*b - 18. Let r be y(-6). Let n be (-7)/(-2)*r/(-560). Solve d + 13 = -0*q - n*q, -q - 3*d = 7 for q. -4 Let h = -12974 - -12992. Solve -2*s + 4 = 0, -5*u - s - 36 + h = 0 for u. -4 Let f(u) = 12*u**2 + 2*u + 1. Let s be f(-2). Let h = s - 43. Let i be h/4*(-3 + -1)*-4. Solve b - 26 = o + 4*o, 2*o = -2*b - i for b. 1 Suppose 110*q = 118*q - 24. Solve 0 = -4*v + 2*l + 3 + 9, 0 = -3*v + q*l + 9 for v. 3 Suppose -31*v + 8*v = -322. Let u be ((-22)/(-77))/(1/v). Solve 0 = 6*b - b - 2*f + 26, u*b = 4*f - 28 for b. -4 Suppose z + 3*h - 6 = 7, 3*z + 3*h - 39 = 0. Let t be (39/z)/((-3)/2). Let w be (3/5)/(t/(-40)). Solve -10 = -5*u, -y + 3*y + 3*u - w = 0 for y. 3 Suppose -16 = -l - 5*u, -u = -4*l - 3*u + 10. Let m be 6*(3/2)/l. Let q be 585/189 - 10/105. Solve p + q = -g + 4, p = g - m for g. 5 Let g = 8 - 5. Let m = g + 0. Let o = 83 - 80. Solve m*x - 2 = -q - 5, 3*q + 3 = -o*x for x. -1 Let l(a) = a**3 - 41*a**2 + 241*a - 18. Let v be l(
{ "pile_set_name": "DM Mathematics" }
without replacement from hbbhbbhhbbbbhbhbbb? 55/204 Calculate prob of sequence qnq when three letters picked without replacement from {q: 3, n: 3}. 3/20 Calculate prob of sequence tt when two letters picked without replacement from stsstsss. 1/28 Calculate prob of sequence vs when two letters picked without replacement from {v: 2, s: 1}. 1/3 Three letters picked without replacement from bbkkvbvpopkb. Give prob of sequence pkv. 1/110 What is prob of sequence uau when three letters picked without replacement from vuvvavuvau? 1/60 What is prob of sequence qqql when four letters picked without replacement from {l: 5, q: 5}? 5/84 What is prob of sequence jh when two letters picked without replacement from vvvvejvdh? 1/72 Four letters picked without replacement from {c: 2, g: 1, r: 1, v: 2, m: 3, x: 9}. Give prob of sequence vvgc. 1/18360 Calculate prob of sequence vvsv when four letters picked without replacement from {t: 4, v: 6, s: 4}. 20/1001 Two letters picked without replacement from {w: 2, g: 2, i: 5, p: 8, u: 3}. What is prob of sequence wu? 3/190 Two letters picked without replacement from iiiiwwwlblwlblwbww. Give prob of sequence wl. 14/153 Two letters picked without replacement from uououuoruoo. Give prob of sequence oo. 2/11 Two letters picked without replacement from {g: 1, a: 2, p: 1, e: 2, h: 2}. Give prob of sequence pa. 1/28 What is prob of sequence cccj when four letters picked without replacement from {j: 2, c: 5}? 1/7 Three letters picked without replacement from bqqeqrbqrqqbqqqqjq. Give prob of sequence bbe. 1/816 Two letters picked without replacement from {c: 2, j: 2, g: 4}. Give prob of sequence cc. 1/28 What is prob of sequence wwx when three letters picked without replacement from wxxxw? 1/10 What is prob of sequence lz when two letters picked without replacement from {z: 4, t: 2, f: 7, l: 1}? 2/91 What is prob of sequence wy when two letters picked without replacement from crwyypppwwtt? 1/22 Two letters picked without replacement from {i: 18, p: 1}. Give prob of sequence ii. 17/19 Calculate prob of sequence mmdd when four letters picked without replacement from mdmdmm. 1/15 What is prob of sequence zs when two letters picked without replacement from {w: 8, s: 3, f: 1, v: 2, z: 1, g: 1}? 1/80 Calculate prob of sequence ooot when four letters picked without replacement from tooo. 1/4 Calculate prob of sequence lfgl when four letters picked without replacement from wgfrlflg. 1/210 Two letters picked without replacement from {f: 5, m: 4, q: 4, u: 2, z: 1}. Give prob of sequence um. 1/30 Two letters picked without replacement from {u: 3, e: 3, k: 2}. What is prob of sequence ke? 3/28 Four letters picked without replacement from ssssss. What is prob of sequence ssss? 1 Three letters picked without replacement from jfffjxefaja. Give prob of sequence fef. 2/165 Three letters picked without replacement from {u: 4, b: 6, r: 4}. What is prob of sequence ubb? 5/91 What is prob of sequence eok when three letters picked without replacement from {b: 1, e: 1, o: 1, w: 1, k: 1}? 1/60 Two letters picked without replacement from {s: 3, f: 7}. What is prob of sequence ff? 7/15 Three letters picked without replacement from oozzznnonznnojhnzzo. Give prob of sequence onz. 10/323 Two letters picked without replacement from {g: 4, b: 7}. Give prob of sequence bg. 14/55 Calculate prob of sequence sn when two letters picked without replacement from {n: 3, i: 13, s: 3}. 1/38 Calculate prob of sequence zz when two letters picked without replacement from zzzzaazzza. 7/15 Four letters picked without replacement from {u: 2, v: 1, s: 5, a: 2, i: 7, t: 3}. Give prob of sequence uiui. 7/9690 Three letters picked without replacement from ugwdwguuhwz. Give prob of sequence dgh. 1/495 Calculate prob of sequence le when two letters picked without replacement from {a: 2, e: 2, l: 9}. 3/26 Three letters picked without replacement from {l: 4, p: 1, b: 2}. What is prob of sequence plb? 4/105 What is prob of sequence jmj when three letters picked without replacement from mjjjmjmmjmmj? 3/22 What is prob of sequence zaza when four letters picked without replacement from agjzxxdxaajddadjgz? 1/3060 Calculate prob of sequence pp when two letters picked without replacement from {p: 3, k: 2}. 3/10 Calculate prob of sequence vvop when four letters picked without replacement from ovbodmmvbbvpdbo. 1/1820 What is prob of sequence nn when two letters picked without replacement from {a: 2, n: 2, t: 11}? 1/105 Calculate prob of sequence cc when two letters picked without replacement from gbcbcbbbl. 1/36 Three letters picked without replacement from lluuuuuulluuuluuluu. What is prob of sequence lul? 65/969 Two letters picked without replacement from {l: 1, h: 1, i: 1, s: 2}. Give prob of sequence hl. 1/20 Calculate prob of sequence xxsv when four letters picked without replacement from {t: 9, v: 4, s: 2, x: 4, q: 1}. 4/4845 Four letters picked without replacement from {v: 13, l: 6}. What is prob of sequence vvvv? 715/3876 Two letters picked without replacement from rntzmnz. Give prob of sequence tm. 1/42 Two letters picked without replacement from ddnndndsssydwdpsnpns. What is prob of sequence nn? 1/19 Three letters picked without replacement from {s: 2, c: 2, u: 2, n: 4}. What is prob of sequence unc? 1/45 Three letters picked without replacement from zzzzszazzhzhz. Give prob of sequence zsh. 3/286 Four letters picked without replacement from bbsb. What is prob of sequence bbss? 0 What is prob of sequence ubu when three letters picked without replacement from {f: 2, j: 2, n: 1, b: 4, q: 4, u: 2}? 4/1365 Three letters picked without replacement from ffffffffff. What is prob of sequence fff? 1 Calculate prob of sequence ah when two letters picked without replacement from {p: 6, h: 3, a: 1, t: 1, k: 1}. 1/44 What is prob of sequence ee when two letters picked without replacement from {w: 1, u: 3, r: 2, e: 6}? 5/22 What is prob of sequence sl when two letters picked without replacement from {c: 3, s: 1, l: 1}? 1/20 Three letters picked without replacement from {e: 1, r: 6, m: 7, o: 3}. Give prob of sequence ooo. 1/680 Calculate prob of sequence xll when three letters picked without replacement from {j: 1, v: 6, l: 5, z: 2, x: 1, g: 1}. 1/168 What is prob of sequence ddd when three letters picked without replacement from hvdvhdhhdhvhvhdh? 1/140 Three letters picked without replacement from vqqvmvaeavpm. Give prob of sequence vap. 1/165 Four letters picked without replacement from {y: 1, r: 3, l: 1, d: 1, g: 1}. Give prob of sequence rdly. 1/280 Three letters picked without replacement from {i: 3, a: 3}. What is prob of sequence iii? 1/20 What is prob of sequence kkkz when four letters picked without replacement from kkkzzzkkzk? 2/21 What is prob of sequence tttt when four letters picked without replacement from tttt? 1 What is prob of sequence qyuo when four letters picked without replacement from {o: 1, n: 4, u: 7, y: 3, q: 4}? 7/7752 What is prob of sequence dz when two letters picked without replacement from zzzzgdvzzvggg? 1/26 Two letters picked without replacement from zsybyzzzmsy. Give prob of sequence yz. 6/55 Two letters picked without replacement from {m: 1, g: 1, q: 6, j: 5, o: 1, p: 3}. Give prob of sequence pg. 3/272 What is prob of sequence acs when three letters picked without replacement from {s: 2, r: 4, c: 4, a: 1}? 4/495 Calculate prob of sequence ddds when four letters picked without replacement from sssdsdssdsddsssssd. 1/51 Four letters picked without replacement from {b: 6, j: 1, a: 3, y: 1, d: 1, q: 1}. Give prob of sequence yqab. 3/2860 Calculate prob of sequence xaxa when four letters picked without replacement from {j: 6, a: 6, m: 1, x: 4}. 3/476 What is prob of sequence jj when two letters picked without replacement from {c: 4, x: 2, k: 1, n: 3, y: 1, j: 4}? 2/35 Three letters picked without replacement from {n: 3, x: 4, h: 1}. Give prob of sequence xxn. 3/28 What is prob of sequence fuuf when four letters picked without replacement from {f: 9, u: 3}? 2/55 Calculate prob of sequence hhi when three letters picked without replacement from hyyiyhyhyiyy. 1/110 What is prob of sequence wx when two letters picked without replacement from {x: 1, h: 3, c: 2, m:
{ "pile_set_name": "DM Mathematics" }
+ 0)*(4*b - 2*b + 0*b) + (-1 + 2 + 5)*(-3 + 3 - 2*b). -14*b Expand (-2 + 2 - 1 + 3 + 1 - 6 + (-1 + 0 + 3)*(2 - 3 + 0))*(-16*h**3 + 8*h**3 - 2*h**3). 50*h**3 Expand (-3*l - l + 5*l)*(-1 - 2 + 1) - l - 10*l - l. -14*l Expand (x + x + x)*(x**2 - x**2 - 2*x**2)*(-3 + 3 - 2*x). 12*x**4 Expand (-3*b + 11 - 11)*(-5 + 2 - 1). 12*b Expand (3*r - 1 + 1 - r + 1 - 1 - 2*r + r + 0*r + (0*r - 2*r + 0*r)*(1 - 3 + 3) + 4 - 4 + r + 4*r - 4*r + r)*(2*r - 11*r + 0*r). -9*r**2 Expand (-m - m + m)*(3*m**4 + 3*m**4 - 5*m**4) + 4*m**5 - 6*m**5 - m**5 + 0*m**5 + 2*m**5 - m**5 + m**4 + 2*m**5 - m**4 - 3*m**2. -m**5 - 3*m**2 Expand r**2 + 4*r**2 - 3*r**2 + (2*r - 3*r + 2*r)*(r - r + 2*r) + 1 + 5*r**2 - 2*r**2 + 0*r**2. 7*r**2 + 1 Expand (4 - 4 + f**2 + (-4*f + 4*f + 2*f)*(0 + 0 - f) - 3*f**2 + 4*f**2 - 2*f**2)*(-2*f**2 - 3*f + 3*f). 4*f**4 Expand (-7*b + 2*b**3 + 7*b)*(-5 + 3 - 5). -14*b**3 Expand -26*z**2 + 14*z**4 + 59*z**2 - 35*z**2 + 3*z**4 - 2*z**4 + z**4 + (-1 - z**3 + 1)*(-1 + 1 - z) + 0 + 0 + 2*z**4. 19*z**4 - 2*z**2 Expand (-2*r + 5*r - 4*r)*(37 - 17 + r - 44). -r**2 + 24*r Expand -2*p**4 + 2*p**4 + p**4 + (3*p - 4*p + 2*p**3 + 2*p)*(-4*p + 10*p + 3*p). 19*p**4 + 9*p**2 Expand -o**5 + 2*o**5 + o**5 + (-2*o**5 + o**4 + 6*o**5 - 7*o**5)*(4 + 0 - 1). -7*o**5 + 3*o**4 Expand (2*f**3 + 0 + 0)*(-2*f + 2*f - 5*f**2). -10*f**5 Expand (-3*h + 6*h - 2*h)*(-h - 3*h**3 + h) + (-h**2 - 2*h**2 + 2*h**2)*(-h**2 - 1 + 1). -2*h**4 Expand (4*k**2 - k**2 + 0*k**2)*(-2 + 0 + 3)*(-1 + 0 + 0 + (-6 + 5 - 2)*(1 - 2 - 1)). 15*k**2 Expand (1 - 1 + 3)*(3 + 3 - 4)*(-12*w**2 + 28*w**2 - 6*w**2). 60*w**2 Expand (2 - 5 + 2)*(q + 2 - 2) + 0*q + q + q + (2*q + 0 + 0)*(3 - 3 + 3) - 2*q - q + 2*q. 6*q Expand 2*d**5 - d + d - 1 + 1 - 2*d**5 + (-6*d**5 + 2*d**5 + d**5)*(1 + 1 - 5). 9*d**5 Expand (-g**2 - 2*g**2 + 5*g**2)*(13 + 3 - 26)*(0*g - g + 3*g). -40*g**3 Expand (-3 + 2*h**4 + 3)*(0*h + h + 0*h) + 4*h + h**5 - 4*h + (4*h - 2*h**5 - 4*h)*(-6 + 5 - 5). 15*h**5 Expand 3 - 3 - b**4 + (-2*b**2 - 2*b**4 + 2*b**2)*(-7 - 2 + 1). 15*b**4 Expand (-n**2 - 4*n**2 + 3*n**2)*(-2*n**2 + 0 + 0) + n**4 + 0*n**4 + 4*n**4 + (-n + n - 2*n)*(3*n**3 + 0*n**3 - 2*n**3) + 3*n**4 + 2*n**4 - 4*n**4. 8*n**4 Expand 11*u - 14*u - 38*u + (-1 + 3 + 0)*(1 + 0 + 0)*(-2*u + 0*u + 3*u). -39*u Expand (-4 + 5 + f + 0)*(6*f**3 + 1 - 1). 6*f**4 + 6*f**3 Expand (-2*h + 4 + 0*h - 5)*(1 - 2 + 0) + 4*h - 2*h - 7*h + 2 + 2*h - 2 + (2 - 4 + 1)*(3*h - 5*h + 0*h) + 0*h + h + h. 3*h + 1 Expand (-4 - 1 + 2)*(10*q**5 + 5*q**5 - 8*q**5). -21*q**5 Expand (0*t**2 + 0*t**2 - 2*t**2)*(-1 + 1 - 2) + 12*t**2 - 21*t**2 + 0*t**2 - 4*t**2 + 0*t**2 + 3*t**2 - 4*t**2 + t**2 + t**2 + (-3*t + 2*t - t)*(4 - 2*t - 4). -4*t**2 Expand (-r**2 - 2*r + 2*r)*(-7*r**3 - 7*r**3 + 5*r**3). 9*r**5 Expand (2 - 1 + 2)*((0*n + n - 3*n)*(3 - 5 + 3) - 26*n + 6*n + 10*n). -36*n Expand (3*l - 6*l + 10*l + 5)*(3 + 3 - 4). 14*l + 10 Expand (-4*u**2 + 4*u**2 - 2*u**2)*(-4*u**2 + 0*u**2 + 5*u**2 + (-3*u + u + u)*(-4*u - u + 7*u)) - 6*u**4 + 9*u**2 - 9*u**2. -4*u**4 Expand ((-2*x + 3 - 3)*(2 - 3 + 0) + (0 - 4 + 2)*(-7*x + 0 + 0))*(-4*x**3 + 2*x**3 + x**3). -16*x**4 Expand (-2 + j**2 + 2)*(-2 + 1 + 2)*(-j + 2*j - 6*j). -5*j**3 Expand (1 - s - 1)*(2*s**4 + s**4 - 4*s**4) + 3*s**2 - 3*s**2 + 3*s**5. 4*s**5 Expand (5 - 3 + 0)*(t - 6*t + 12*t). 14*t Expand ((t**3 - t**3 + t**3)*(t - 4*t + 4*t) - 4 - 2*t**4 + 4)*((-3 + 5 - 4)*(-5*t + 2*t + t) - 3*t + 2*t - 2*t + 0*t + t + t + 0*t + 2*t - 3*t). -2*t**5 Expand (1 - 3 - 1)*(2*v - 2*v + 2*v**4 + (-v**3 + 0*v**3 + 2*v**3)*(-v - 2*v + 2*v)). -3*v**4 Expand (-2 + 3 - 3)*(-o**3 - o**3 + o**3) + (-2 + 0 + 0)*(-3*o**3 + o**3 + o**3). 4*o**3 Expand (6*u - 2*u - 3*u)*(3 - 2*u**3 - 3) - 2*u - 2*u**4 + 2*u + (-3*u**2 + 4*u**2 - 3*u**2)*(-5*u**2 + 3*u**2 + 4*u**2) - 2*u**4 + u**4 - 2*u**4. -11*u**4 Expand 3 - 3 - t**2 + (11*t**2 - 2 - 2 + 2)*(1 + 0 + 2). 32*t**2 - 6 Expand (-2*m - 2*m + 5*m)*(0*m**2 - 4*m**2 + 2*m**2) + (m + 3*m - 5*m)*(m**2 - 2 + 2). -3*m**3 Expand ((6 - 5 + 2)*(0 + 3 - 2) + 0 - 3 + 2 + 2 - 3 + 2)*(v**5 + 2*v**4 - 2*v**4). 3*v**5 Expand (0 - 2 + 0 + (2 - 5 + 0)*(0 + 0 - 4))*(2 - 2 - 3*v). -30*v Expand 3*c**2 - 4*c**2 + 10*c**2 + (-5*c - 8*c + 0*c)*(-3*c + 4*c - 2*c). 22*c**2 Expand (2 + 3 - 4)*(5*n - 7*n + n + 0 + 2*n + 0 - 2*n - 3*n + 4*n + (0*n + 0*n - 2*n)*(-2 - 3 + 3)). 4*n Expand (-2*r - 2*r + 0*r)*(-2 + 0 + 4)*(-r**2 + 8*r**3 - 8*r**3 - 2*r**4). 16*r**5 + 8*r**3 Expand (-d**2 - 2*d**2 - 8*d**2)*(-2*d + d - 11 + 0*d). 11*d**3 + 121*d**2 Expand (-o**2 + o**2 + 4*o**3)*((-o + 1 - 1)*(-1 + 1 - 2) + 5*o - o - 3*o). 12*o**4 Expand (-3 + 0 + 5)*(-10 + 0 - 4)*(2*c - 4 + 4). -56*c Expand (5*r + 2*r - 2*r)*(8 - 2 + 3). 45*r Expand (3*m**2 + 0*m + 0*m)*(8 - 1 - 3) + (0*m - m + 0*m)*(-1 + m + 1). 11*m**2 Expand 22*g**5 + 31*g**5 - 8*g**5 + g - g - g**5 + (3*g**2 + 0*g**2 - g**2)*(2*g**3 + 3*g**3 - 7*g**3). 40*g**5 Expand 0*s**2 - 6*s**2 + 2*s**2 + (0*s + 0*s + 2*s)*(0*s + 6*s - s). 6*s**2 Expand (1 + 1 - 1)*(13 - 13 - 4*v)*((4 - 3 - 2)*(-v + 0*v - 3*v) + 4*v - 2*v - 3*v + 3*v + 0 + 0). -24*v**2 Expand (-s - 2*s + s)*(-1 - 15 + 3). 26*s Expand (-1 + 1 - 1)*(-2 + 2 + 1)*(5*n - 2*n - n). -2*n Expand 0*d + 0*d - d**4 + 5*d**2 + (1 - 3 + 0)*(-d**4 - 3*d**4 + 0*d**4). 7*d**4 + 5*d**2 Expand (-576 + 576 - 20*a)*(2 + 0 - 3). 20*a Expand (-1 + 1 - d)*(-7 + 7 + d) + d**2 - 3*d**2 - 3*d**2. -6*d**2 Expand (-1 - 3 + 3)*(4 + q - 4) + (0*q + 4*q + 2*q)*(1 + 0 - 2). -7*q Expand (-4*h**5 - 3*h**5 + 6*h**5)*(-2 + 3 + 1) - 3*h + 3*h - 2*h**5 - h - h**5 + h + (2*h**2 - 5*h**2 + h**2)*(-2*h**3 + h - h) + 2*h**5 - h**5 + h**5. h**5 Expand -2*n**2 + 0*n**2 - n**2 + (4*n - 4*n + n)*(-n + n - 2*n) + 15 - 10*n**2 - 15. -15*n**2 Expand (2*v - 2 + 2)*(3*v**2 + 6 - 4 - v**2). 4*v**3 + 4*v Expand (2 + 5*y + 3*y - 7*y)*(-3*y + y - y). -3*y**2 - 6*y Expand (3*j**2 + 7*j**2 + j**2 - 2)*(3*j - 3*j - 2*j). -22*j**3 + 4*j Expand 2 - w**3 - 2 + (5 - w - 5)*(-8*w**2 - w**2 + w**2). 7*w**3 Expand (4*c**3 + 0*c**3 + 3*c**3)*(-c + 3*c - c) - 3*c**4 + 2 + 2*c**4 - 3. 6*c**4 - 1 Expand (6*o**2 - 5*o**2 - 3*o**2)*(3 - 2 + 165*o - 135*o). -60*o**3 - 2*o**2 Expand (4*p**4 - 2*p**4 + 0*p**4)*(-2 - 5*p + 2*p + 3). -6*p**5 + 2*p**4 Expand (3 - 3*i - 3)*(22 - 22*i - 22). 66*i**2 Expand (-2*u**2 + 2*u**2 - 2*u**2)*(0*u - 3 + 2*u - 3). -4*u**3 + 12*u**2 Expand (-2*v**2 - v + v)*(4*v**2 - v**2 - v**2) + 4*v**2 + v**4 - 4*v**2. -3*v**4 Expand (3*p**2 - 6*p**2 + p**2)*(-5*p + 17*p + 6*p)*(-4*p + 3*p + 0*p) + 4*p**3 + p**4 - 4*p**3. 37*p**4 Expand (-4*a**3 + a**3 + 5*a**3)*(a - a + a) + (-2*a + 4*a + a)*(-a**3 - 3*a + 3*a). -a**4 Expand (d + d + 0*d + (0 + 0 + d)*(3 - 1 + 0) - 2*d - 3*d + 4*d)*(-d + 2*d - 4*d) - 2*d**2 + 0*d**2 - d**2. -12*d**2 Expand (-3 + 5 + 1 + (2 - 1 + 1)*(1 - 1 + 2))*(-4 - 2*s**3 + 4). -14*s**3 Expand 2*q**3 + 2*q**3 - 2*q**3 + (1 - 2 + 4)*(-1 + 3 + 0)*(q**2 + 2*q**3 - q**2). 14*q**3 Expand (3*g**3 - 2*g**3 - 4*g**3)*(0*g**2 - 3*g**2 + 4*g**2) + 3*g**5 - 4*g**5 + 2*g**5. -2*g**5 Expand (-2*d + 3*d - 3*d)*(d - 1 + 1) - 2*d**2 - 1 + 1 - 2*d + 2*d + d**2 + 13*d + 19*d**2 - 13*d. 16*d**2 Expand (-32*y**5 - 24*y**2 + 24*y**2)*(-4 - 2 + 5). 32*y**5 Expand (2*c + c**2 - 2*c)*(4863*c - 108 + c**2 - 4863*c). c**4 - 108*c**2 Expand -2 + 2 - t**2 - 1 - 3*t**2 + 1 - 2*t**2 - 2*t**2 + 3*t**2 + (0 - t + 0)*(-1 + 2*t + 1) - 3*t**2 + 2*t**2 + 0*t**2. -8*t**2 Expand (0 + 2 + 0 + 2*p)*(2*p**3 - 3*p + 3*p). 4*p**4 + 4*p**3 Expand (5*h**2 - 2*h**2 - h**2)*(-h**2 - 2*h**2 + 0*h**2)*(-2 + 3 + 3). -24*h**4 Expand (0 + 0 + 2*w)*(0*w + 3*w - 2*w)*(0*w + 0*w - 3*w) + (3 - 3 - w)*(0 - 3*w**2 + 0) - 4 + 2*w**3 + 4. -w**3 Expand (1 - q**2 - 1 - 1)*(9 - 10 - 13). 14*q**2 + 14 Expand (-2*g - 2*g + 0*g)*(-3 - 2 + 4). 4*g Expand (1 + 2*s - 2 + 0)*(-1 + 3 - 1). 2*s - 1 Expand (13 + 0 + 2)*(-j**3 - 14*j + j**4 + 14*j - 2) + j**4 - j**4 - 2*j**4. 13*j**4 - 15*j**3 - 30 Expand -f**3 - 2*f**3 + 6*f**3 + (-6*f**2 + f**2 + 3*f**2)*(-4*f + 4*f + 2*f). -f**3 Expand (0*f - f + 0*f)*(5*f**3 + f - f). -5*f**4 Expand (2 - 4 + 3 + (-5 - 1 + 4)*(3 + 3 - 5) - 1 + 3 - 3)*(2*m + 0 + 0). -4*m Expand (3 + j - 8 + 2)*(5 - 2 - 1)*(j**2 - 4*j**3 - j**2). -8*j**4 + 24*j**3 Expand (-2*l + 0 + 0)*(0*l**2 - l**2 + 0*l**2). 2*l**3 Expand (1 + 1 - 3)*(-n + 5*n - 3*n). -n Expand (-p - 3 + 3)*(-8 + 1 + 0)*(-5 - 1 + 2). -28*p
{ "pile_set_name": "DM Mathematics" }
dcy when three letters picked without replacement from tccdydtoyooddcoddo. 1/136 What is prob of sequence nvq when three letters picked without replacement from uvuqnul? 1/210 Four letters picked without replacement from bbbpuppb. Give prob of sequence pbbp. 3/70 Four letters picked without replacement from jyyjj. Give prob of sequence yjjy. 1/10 Calculate prob of sequence uhuh when four letters picked without replacement from {u: 2, h: 11}. 1/78 What is prob of sequence krd when three letters picked without replacement from {r: 2, i: 1, q: 2, k: 1, y: 6, d: 3}? 1/455 What is prob of sequence yy when two letters picked without replacement from dkkdtdyyddydkyydkky? 5/57 Calculate prob of sequence ike when three letters picked without replacement from hihihihiiekhhiiheh. 7/2448 What is prob of sequence fa when two letters picked without replacement from awffwawff? 1/9 What is prob of sequence gzd when three letters picked without replacement from gdmgdzgmmggdgmdgmm? 7/1224 Calculate prob of sequence tzft when four letters picked without replacement from {f: 1, r: 4, o: 2, z: 2, t: 6}. 1/546 What is prob of sequence dd when two letters picked without replacement from dfdddfdfdd? 7/15 Calculate prob of sequence hhpp when four letters picked without replacement from {h: 2, p: 3}. 1/10 What is prob of sequence jw when two letters picked without replacement from wwyjjjjwyyyjy? 5/52 Four letters picked without replacement from {t: 3, j: 15}. Give prob of sequence tjjj. 91/816 What is prob of sequence ss when two letters picked without replacement from {s: 2, y: 6}? 1/28 Calculate prob of sequence rwwp when four letters picked without replacement from wwrppwppww. 1/63 Three letters picked without replacement from {q: 2, i: 3, f: 1, w: 1, o: 5, e: 1}. Give prob of sequence qwf. 1/858 What is prob of sequence ts when two letters picked without replacement from {o: 1, t: 1, s: 2}? 1/6 Three letters picked without replacement from {e: 1, t: 1, p: 2, g: 2, o: 1, c: 1}. Give prob of sequence tcg. 1/168 Three letters picked without replacement from zznyzzzyuzyuu. Give prob of sequence nyz. 3/286 Two letters picked without replacement from jojxkjoojex. Give prob of sequence xx. 1/55 Two letters picked without replacement from {r: 8, k: 2, a: 7, o: 2}. Give prob of sequence or. 8/171 Calculate prob of sequence fqm when three letters picked without replacement from xfxmqxffmmqmyqm. 3/182 Four letters picked without replacement from {l: 2, j: 4, w: 2, z: 1}. Give prob of sequence jlzj. 1/126 Three letters picked without replacement from nnvcvvcvjvnc. What is prob of sequence nnc? 3/220 Calculate prob of sequence aa when two letters picked without replacement from {n: 3, a: 12, r: 3}. 22/51 Calculate prob of sequence lf when two letters picked without replacement from llflfflflfll. 35/132 Two letters picked without replacement from {z: 1, u: 3, n: 2, j: 2, q: 6}. What is prob of sequence uq? 9/91 Four letters picked without replacement from {a: 2, d: 1, r: 4, h: 1, w: 10}. Give prob of sequence ahra. 1/9180 Two letters picked without replacement from vvztvttt. Give prob of sequence vv. 3/28 Calculate prob of sequence clv when three letters picked without replacement from cccclclclllclccvv. 9/340 What is prob of sequence kkk when three letters picked without replacement from {k: 9}? 1 Four letters picked without replacement from rbfhrbyrrrbhh. Give prob of sequence hbrh. 3/572 Four letters picked without replacement from {z: 2, t: 1, m: 3, i: 3, l: 1}. Give prob of sequence itil. 1/840 Calculate prob of sequence lf when two letters picked without replacement from {l: 2, f: 1}. 1/3 Two letters picked without replacement from {g: 2, q: 7, l: 3, i: 8}. What is prob of sequence ig? 4/95 Three letters picked without replacement from yissyyssymsssyssiyy. Give prob of sequence ssy. 28/323 What is prob of sequence vvvv when four letters picked without replacement from vvvkkvvv? 3/14 Calculate prob of sequence fdq when three letters picked without replacement from eedzqjff. 1/168 What is prob of sequence qr when two letters picked without replacement from wqrxqgxrxgvgxgwgrgx? 1/57 What is prob of sequence sp when two letters picked without replacement from spv? 1/6 Two letters picked without replacement from kae. What is prob of sequence ak? 1/6 Calculate prob of sequence ssss when four letters picked without replacement from {s: 7, d: 1}. 1/2 Two letters picked without replacement from skkkkkkskkkkkskk. Give prob of sequence ss. 1/40 Calculate prob of sequence ll when two letters picked without replacement from yylyb. 0 What is prob of sequence go when two letters picked without replacement from llogjgg? 1/14 Two letters picked without replacement from qeellhf. Give prob of sequence qf. 1/42 What is prob of sequence rtpr when four letters picked without replacement from rprptttt? 1/105 What is prob of sequence zzz when three letters picked without replacement from {z: 9, j: 7}? 3/20 Calculate prob of sequence gayl when four letters picked without replacement from {m: 5, y: 7, a: 1, g: 3, l: 3}. 7/10336 Four letters picked without replacement from {p: 17, j: 3}. Give prob of sequence jjpp. 4/285 Two letters picked without replacement from {h: 3, c: 1, m: 3, d: 2, k: 1, u: 5}. Give prob of sequence kd. 1/105 Two letters picked without replacement from mpppmmppmmmpmmpm. Give prob of sequence mp. 21/80 Calculate prob of sequence sa when two letters picked without replacement from asaaasulyusayalasla. 16/171 Calculate prob of sequence vvvv when four letters picked without replacement from ooovovovvoooooooov. 1/612 Two letters picked without replacement from qqqmmqqmmmmmp. What is prob of sequence qm? 35/156 Three letters picked without replacement from {q: 4, u: 6, x: 2}. Give prob of sequence uqq. 3/55 Four letters picked without replacement from {u: 1, n: 11, o: 1, k: 2}. What is prob of sequence nnok? 11/1638 Three letters picked without replacement from ctvyvvvdtttvvcvtvtc. What is prob of sequence ycv? 4/969 Three letters picked without replacement from {m: 1, w: 1, t: 2, q: 2, y: 6, u: 5}. Give prob of sequence wqt. 1/1020 Two letters picked without replacement from {r: 2, o: 3, q: 3, d: 4, e: 1, f: 4}. What is prob of sequence de? 1/68 Four letters picked without replacement from rrxrrrrvrvrhvrrrv. What is prob of sequence rrrr? 33/238 What is prob of sequence rjiu when four letters picked without replacement from {t: 4, j: 3, r: 1, u: 2, i: 2}? 1/990 Calculate prob of sequence rz when two letters picked without replacement from vrgvrrvggzhvghgrggrr. 3/190 Four letters picked without replacement from {x: 1, v: 12, r: 5}. What is prob of sequence rrrv? 1/102 Two letters picked without replacement from fucuficccfufuuz. Give prob of sequence cu. 2/21 Two letters picked without replacement from {m: 5, y: 2, q: 2, h: 3}. What is prob of sequence qy? 1/33 What is prob of sequence lmv when three letters picked without replacement from mvmvlvvvvmlvlvdvdm? 3/136 Calculate prob of sequence cgun when four letters picked without replacement from {n: 1, c: 3, g: 2, u: 1}. 1/140 Two letters picked without replacement from ggggwwg. What is prob of sequence gg? 10/21 What is prob of sequence ionn when four letters picked without replacement from iwwwowwwixiwwwwinniw? 1/11628 What is prob of sequence mmh when three letters picked without replacement from hhmhhhhhhhchmch? 11/1365 Calculate prob of sequence ka when two letters picked without replacement from {t: 4, j: 1, a: 5, k: 1}. 1/22 Calculate prob of sequence cddd when four letters picked without replacement from {x: 8, c: 1, d: 6}. 1/273 Two letters picked without replacement from ozrzrrorsrrzzrzrforr. What is prob of sequence sz? 1/76 Calculate prob of sequence rww when three letters picked without replacement from {w: 8, r: 2}. 7/45 What is prob of sequence eon when three letters picked without replacement from oednofy? 1/105 Four letters picked without replacement from akakkkkkkkkrrkk. Give prob of sequence kark. 11/819 Calculate prob of sequence cgc when three letters picked without replacement from uwmgcrc. 1/105 Calculate prob of sequence qqql when four letters picked without replacement from qqqlvlqqlk. 1/28 What is prob
{ "pile_set_name": "DM Mathematics" }
) = 2*c**2 + 4*c - 1. Let t(m) = -m**3 + m**2 - m + 4. Let h be t(3). Let r = -20 - h. What is the units digit of d(r)? 5 What is the units digit of 1269 - (-2 + 2 + 12/4)? 6 Let d(w) = -3*w**2 - 10*w + 5. Let r be d(-5). What is the units digit of ((-6)/(-4))/((-2)/r)? 5 Let a = 115 + -90. What is the units digit of a? 5 Let t be 1*(2 + (-18)/(-2)). Let o = 8 - t. What is the tens digit of -2 + (o - (-32 + 1))? 2 Let k = -14 - -25. Suppose -k*l + 7*l + 168 = 0. What is the units digit of l? 2 Suppose -12760 = 12*a - 23*a. What is the thousands digit of a? 1 Suppose 5*i = 8*i - 576. Suppose 8*m = i + 160. What is the tens digit of m? 4 Let j = -214 - -11. Let a = -91 - j. Let t = -67 + a. What is the units digit of t? 5 Let d(m) = -m**2 + 6*m + 7. Let k be d(8). Let p be (-4 - 16/(-6))*k. What is the tens digit of (-2 + 16/p)*-54? 3 Let t(x) = 2*x**2 - 15*x - 89. What is the units digit of t(17)? 4 Suppose 18*u - 46059 = -8133. What is the units digit of u? 7 Let t = -14 + 15. What is the tens digit of -1 + t - (-13 - 111)? 2 Suppose 5*o - 207 = -4*o. Suppose 2*b + 3*b = 120. Suppose -b - o = -s. What is the tens digit of s? 4 Suppose -760 = -2*w - 4*l, 0 = 2*l - 5*l - 15. What is the hundreds digit of w? 3 Let f = 325 + -255. What is the tens digit of f? 7 Suppose -104*n = 4*z - 108*n - 17348, 0 = -4*z + 2*n + 17350. What is the tens digit of z? 3 Let p(c) = -c**3 - 7*c**2 - 7*c - 7. Let b be p(-6). Let g(j) = 76*j**2 + j - 1. What is the tens digit of g(b)? 7 Suppose 5*s - 2219 = 3*d, 4*s - 1759 = 7*d - 10*d. What is the hundreds digit of s? 4 Suppose -4*r - 3313 = -3*a + r, 3*r = -4*a + 4398. What is the hundreds digit of a? 1 Suppose 3*o = -2*x + 187, -5*x + 9 = 2*o - 101. What is the tens digit of o? 6 Let o be (80/12)/2*3. Suppose -5*n = -10*n + o. Suppose -4*w = 3*k - 51 - 6, 3*w = -n*k + 44. What is the units digit of w? 8 Suppose -5 - 5 = -5*m. Suppose 45 = 5*v - 5*q, -5*v = m*q + 3*q + 5. Suppose 2*f = -v + 74. What is the units digit of f? 5 Suppose 0*i - 4*i = -360. Let j be i/20 - 1/2. Suppose j*t = -2*b + 24, -5*b + 4 = -4*b. What is the units digit of t? 4 Let b(l) = -2*l**3 + 765. What is the units digit of b(0)? 5 Let u be (-242)/(-11) + (-1 - -2). Let y = 21 - u. What is the tens digit of (y/(-4))/((-3)/(-60))? 1 Let i(m) = -m**2 - 7*m - 13. Let v be i(-6). Let r = v + 7. Suppose -3*b - 54 = f - 2*f, 3*f + 4*b - 97 = r. What is the units digit of f? 9 What is the tens digit of (-2)/(2/23*(-3)/9)? 6 Suppose 3*q - 3*w - 389 = 121, -510 = -3*q - w. What is the units digit of q? 0 Suppose -985 = 4*j - 9*j. Suppose 11*z + j - 2089 = 0. What is the units digit of z? 2 Let c = 126 + -171. Let m = 132 + c. What is the tens digit of m? 8 Let w = 48 + 3. What is the tens digit of w/(-4)*6*(-10)/3? 5 Let v = 6 + -1. Suppose 51 = 2*o + v. Suppose -22 - o = -3*r. What is the units digit of r? 5 What is the hundreds digit of (-3)/((-189)/14) - 7990/(-9)? 8 Let w(m) = 365*m + 36. What is the units digit of w(4)? 6 Let x(q) = -29*q - 3. Let y be x(-1). Let g(k) = -k**2 + 4*k + 5. Let v be g(5). Suppose v = -20*a + 19*a + y. What is the units digit of a? 6 Let s = 5479 - 2687. What is the hundreds digit of s? 7 Let c(w) be the first derivative of -w**4/4 - 14*w**3/3 - 5*w**2/2 - 13*w - 10. What is the tens digit of c(-14)? 5 Let c = -27 - -29. Suppose -j + 4*u - 9 + c = 0, 0 = j + 3*u + 7. Let z(k) = k**2 - k - 8. What is the units digit of z(j)? 8 Suppose -5*k - 2*s - 30 = 0, 5*k + s + 3*s + 20 = 0. Let g(l) = l + 10. Let f be g(k). Suppose 2*n - 12 = -f*n. What is the units digit of n? 3 What is the hundreds digit of (-4)/(-10) + 42137/145? 2 What is the units digit of 180/(-90) + 8628/2? 2 Let y(v) = 11*v + 1. Suppose 130 = 3*c + 10*c. What is the units digit of y(c)? 1 Let g(f) = -f**3 + 7*f - 5. What is the hundreds digit of g(-7)? 2 Suppose -5*b + b + 20 = 0. Suppose l = -2*p - 3 - b, 3*l + 8 = -2*p. Suppose -4*o + 97 + 139 = l. What is the tens digit of o? 5 Suppose -w = -2 + 3. Let l be (w - -1)/(-1 - -2). Suppose -5*q + l*q = -105. What is the tens digit of q? 2 Suppose -n + 258 = 2*w + 4*n, 0 = -5*w + 2*n + 703. Suppose d = r - w, 2*d - d + 687 = 5*r. What is the units digit of r? 7 Let x be ((-50)/(-15) - 4)*-3. Suppose -45 + 3 = -x*m. What is the units digit of m? 1 Suppose 0 = 4*y + 4*g + 1 - 13, g - 12 = -4*y. Suppose 0 = y*a - 5*a + 100. What is the units digit of a? 0 Suppose 60 = 5*s - r, 3*s - 2*s + 3*r - 12 = 0. What is the units digit of s/5*70/28? 6 What is the units digit of (-15 - -11)*(-438)/24? 3 Suppose -3*l + l + 4*p = -22, 3*p = l - 14. Let d be (14/(-35))/((-1)/l). Suppose y = d*n - 50, 5*y - 101 = -4*n + n. What is the tens digit of n? 2 Let u(z) = -z**2 + z - 11. Let v be u(4). Let s = v - -45. What is the units digit of s? 2 Let a(h) = 62*h + 3. Let q be a(3). Let c = q + -110. What is the units digit of c? 9 Suppose 374 = 2*s - 0*s. Suppose s - 43 = b. Suppose 5*w + 4*k = b - 43, -4*w - 4*k = -80. What is the units digit of w? 1 Let w be (-11)/(-1) - 1/1. Suppose -2*k = -7*k + w. What is the units digit of k? 2 Suppose 678 + 27 = 3*d. What is the units digit of d? 5 Let d = 8 + -17. Let p be (-14)/(-4) + d/18. Suppose -h - p*l + 12 = -1, -3*l = 5*h - 29. What is the units digit of h? 4 Let z(r) = -6*r - 1. Let y be (4 - 2) + -3 + -2. Let g be z(y). Suppose 0 = -0*b + b - g. What is the tens digit of b? 1 Let o(f) = 687*f**2 - 6*f + 7. What is the tens digit of o(1)? 8 Let p(y) = 3*y + 3. Let j be p(-4). Let f(a) = -a**2 - 7*a + 1. Let z be f(j). Let d = 14 - z. What is the units digit of d? 1 Suppose 2400*k + 30141 = 2409*k. What is the thousands digit of k? 3 Suppose 0 = 2*c + 4*r - 18, 0 = -c - 4*c + 2*r + 21. Let h(j) = 2*j + 13. Let i be h(-5). Suppose -c = -5*m, i*v = m - 2*m + 115. What is the tens digit of v? 3 Let z(i) = -i - 3. Let h be z(-3). Suppose 0*y + y = h. Suppose -5*s + 6 + 4 = y. What is the units digit of s? 2 Let j(g) be the second derivative of -g**3/3 + 9*g**2 + 12*g. What is the units digit of j(-9)? 6 Suppose 11 = -2*g - 1. Let b = g + 2. Let k(f) = 2*f**2 + 4*f - 5. What is the units digit of k(b)? 1 Let a(o) = -o**3 + 8*o**2 + 4. Let u be a(8). Suppose -3*j = m + 34, -u*m - 2*j = -0*j + 146. Let z = m + 70. What is the tens digit of z? 3 Suppose -4*z + 27954 = 5*p - 3*z, -z = -5*p + 27956. What is the hundreds digit of p? 5 Suppose -8*s + 4*s + 2*w = 0, -2*s = 3*w + 8. What is the units digit of ((-171)/38)/(s/22)? 9 Let v be (10 - 13)*(-13 - -1). Let b be (3 + -2)*v + -2. What is the units digit of (b/4)/((-8)/(-16))? 7 Let d(z) be the second derivative of -z**3/3 + z**2/2 + 9*z. What is the tens digit of d(-6)? 1 Let j = -244 + 669. What is the units digit of j? 5 Let n(b) = 103*b**2 + 13*b - 18. What is the tens digit of n(-6)? 1 Let g(m) = 1439*m**3 + 2*m**2 - m - 1. What is the hundreds digit of g(1)? 4 Suppose -m + 0*m - 1551 = -g, 3*m = -3*g + 4659. What is the tens digit of g? 5 Let q be 9/(-6)*404/(-6). Suppose -4*b + 178 = -2*g, -b + 3*b - 5*g = q. What is the tens digit of b? 4 Suppose -606 - 449 = -5*u. Suppose 2*p - u = 49. What is the tens digit of p? 3 Let c(p) = -p**3 - 6*p**2 + 8. Let s be c(-6). Suppose 4*u + 3*n + 0 + s = 0, 3*u - 4*n - 19 = 0. Let o = u + 9. What is the units digit of o? 0 Suppose 5*l = -x + 5867, 17*x - 22*x = 2*l - 2333. What is the thousands digit of l? 1 Let v(c) = 74*c - 67. What is the units digit of v(30)? 3 What is the hundreds digit of -1 + 18/12 - (-1606)/4? 4 Suppose 0*v = -2*v + 6. Suppose -23 + v = -5*u. Suppose -3*p + u*p + 5*s - 24 = 0, p - 38 = 2*s. What is the tens digit of p? 3 Let j = -376 + 536. What is the units digit of j? 0 What is the thousands digit of (-1274)/(-1) + 25 + -32? 1 Let l = 48 + -57. What is the hundreds digit of 2373/7*(-6)/l? 2 Suppose -5*j + 16 = -4. What is the units digit of j*(0 + 145/20)? 9 Let o be (-6)/(-4)*(2 + 2496/18). Suppose -4*i + 904 = 4*a, 5*a - a + o = i. What is the tens digit of i? 2 Suppose -q + 5*q + 2*q = 0. Suppose 5*r + q*r - 15 = 0, -j + 56 = -4*r. What is the units digit of j? 8 Let v(b) = 3*b + 93 - 93. Let a be (-5)/(-2) - (-3)/(-6). What is the units digit of v(a)? 6 Suppose 0 = 3*x + 17 - 11, -5*h = 5*x. What is the units digit of h? 2 Let c(l) = 13*l + 20*l - 8 - 37*l. Supp
{ "pile_set_name": "DM Mathematics" }
enominator of -15/2 and 57/1565. 3130 Calculate the least common multiple of 742 and 17. 12614 Calculate the common denominator of -113/72 and -1/24. 72 Calculate the least common multiple of 16 and 4. 16 Calculate the lowest common multiple of 1090 and 109. 1090 Find the common denominator of -7/45 and 7/411. 6165 Calculate the common denominator of -49/68 and 23/340. 340 Calculate the least common multiple of 2610 and 54. 7830 Find the common denominator of 65/3128 and -37/736. 12512 What is the lowest common multiple of 86 and 2236? 2236 Calculate the least common multiple of 424 and 8. 424 Calculate the lowest common multiple of 44 and 1188. 1188 Find the common denominator of -101/576 and 49/36. 576 What is the lowest common multiple of 360 and 40? 360 What is the lowest common multiple of 12 and 340? 1020 Find the common denominator of 13/76 and 33/304. 304 Calculate the common denominator of -7/24 and 97/84. 168 What is the lowest common multiple of 192 and 792? 6336 What is the smallest common multiple of 282 and 658? 1974 What is the lowest common multiple of 72 and 54? 216 What is the common denominator of 107/84 and -61/2646? 5292 What is the common denominator of 56/99 and -95/66? 198 Calculate the least common multiple of 16 and 12. 48 What is the common denominator of -6/185 and -71/592? 2960 What is the common denominator of -7/205 and -74/105? 4305 Calculate the smallest common multiple of 120 and 36. 360 Calculate the common denominator of -13/600 and -11/1680. 8400 Find the common denominator of 85/14 and 61/2096. 14672 Find the common denominator of -17/190 and -107/7334. 36670 What is the lowest common multiple of 285 and 570? 570 Calculate the lowest common multiple of 4 and 8. 8 Calculate the lowest common multiple of 14 and 42. 42 What is the common denominator of -109/12 and 125/6? 12 Calculate the common denominator of -50/171 and 103/54. 1026 Find the common denominator of -127/110 and -30/121. 1210 What is the smallest common multiple of 98 and 98? 98 Calculate the common denominator of -27/28 and -19/140. 140 Calculate the smallest common multiple of 3200 and 6. 9600 What is the smallest common multiple of 144 and 120? 720 What is the smallest common multiple of 420 and 240? 1680 Find the common denominator of -55/4 and -24/37. 148 What is the least common multiple of 68 and 26? 884 Find the common denominator of -109/18 and -79/34. 306 Calculate the common denominator of 13/125 and 63/1025. 5125 What is the lowest common multiple of 60 and 1134? 11340 Find the common denominator of 103/720 and 61/36. 720 Find the common denominator of 41/9 and 83/354. 1062 Calculate the least common multiple of 603 and 6. 1206 Calculate the least common multiple of 18 and 84. 252 Calculate the least common multiple of 54 and 6408. 19224 What is the common denominator of -101/248 and -47/20? 1240 Find the common denominator of 35/354 and -16/767. 4602 What is the smallest common multiple of 3990 and 5320? 15960 Calculate the smallest common multiple of 126 and 112. 1008 What is the common denominator of -3/200 and 11/840? 4200 Calculate the common denominator of -113/168 and 67/224. 672 Calculate the least common multiple of 144 and 54. 432 Calculate the least common multiple of 558 and 6. 558 Calculate the least common multiple of 25 and 9. 225 Find the common denominator of -39/10 and -27/490. 490 Calculate the lowest common multiple of 20 and 372. 1860 What is the lowest common multiple of 18 and 1002? 3006 Calculate the lowest common multiple of 45 and 225. 225 What is the least common multiple of 220 and 36? 1980 Find the common denominator of 23/33 and -41/453. 4983 Calculate the least common multiple of 21 and 4383. 30681 Calculate the smallest common multiple of 1818 and 808. 7272 What is the common denominator of 53/2345 and 42/1675? 11725 Calculate the smallest common multiple of 120 and 480. 480 Calculate the common denominator of -37/182 and -38/117. 1638 What is the lowest common multiple of 208 and 10? 1040 Find the common denominator of 89/30 and 13/1310. 3930 Calculate the common denominator of 41/11 and -59/800. 8800 Calculate the common denominator of -31/20 and -17/852. 4260 Find the common denominator of -67/12 and 1/12. 12 What is the smallest common multiple of 10 and 12602? 63010 What is the lowest common multiple of 120 and 160? 480 Calculate the least common multiple of 369 and 451. 4059 Find the common denominator of -13/17 and 46/7. 119 What is the common denominator of 69/1820 and -131/2860? 20020 Calculate the smallest common multiple of 10548 and 1. 10548 What is the lowest common multiple of 68 and 170? 340 What is the least common multiple of 39 and 104? 312 Calculate the smallest common multiple of 17 and 2. 34 Calculate the least common multiple of 591 and 18. 3546 What is the common denominator of -32/45 and 91/765? 765 Calculate the least common multiple of 26 and 54. 702 Calculate the smallest common multiple of 300 and 250. 1500 What is the common denominator of 31/2 and -59/504? 504 Calculate the common denominator of -67/58932 and 13/8. 117864 Find the common denominator of -37/10 and 21/10. 10 Calculate the lowest common multiple of 729 and 486. 1458 Calculate the common denominator of 115/1602 and -97/180. 16020 What is the common denominator of -131/102 and -73/170? 510 Calculate the lowest common multiple of 20 and 22. 220 What is the lowest common multiple of 2590 and 75? 38850 Find the common denominator of 20/1019 and 39/8. 8152 Calculate the common denominator of 11/135 and -31/20. 540 Calculate the smallest common multiple of 15 and 25. 75 Find the common denominator of -49/10 and -13/4. 20 What is the lowest common multiple of 9 and 18818? 169362 Calculate the common denominator of 107/704 and 35/176. 704 Calculate the least common multiple of 44 and 16. 176 Find the common denominator of 67/12 and 115/18. 36 Find the common denominator of 107/490 and 55/2. 490 Calculate the lowest common multiple of 560 and 112. 560 Calculate the lowest common multiple of 17206 and 6. 51618 What is the common denominator of -57/22 and -73/386? 4246 What is the lowest common multiple of 429 and 792? 10296 What is the least common multiple of 264 and 528? 528 Calculate the smallest common multiple of 4 and 1. 4 What is the common denominator of -10/273 and -46/525? 6825 Calculate the common denominator of 35/1989 and -103/2210. 19890 Calculate the lowest common multiple of 18 and 482. 4338 What is the lowest common multiple of 21 and 10? 210 Calculate the lowest common multiple of 326 and 6. 978 What is the lowest common multiple of 1 and 634? 634 Calculate the lowest common multiple of 13 and 232. 3016 Calculate the lowest common multiple of 105 and 7. 105 What is the common denominator of 61/1840 and -3/1610? 12880 Calculate the lowest common multiple of 10 and 392. 1960 Calculate the smallest common multiple of 7 and 3737. 26159 Find the common denominator of -163/60 and -26/1971. 39420 Calculate the smallest common multiple of 99 and 572. 5148 What is the common denominator of 103/54 and 27/20? 540 Find the common denominator of -107/20 and 141/17920. 17920 Calculate the smallest common multiple of 80 and 840. 1680 What is the least common multiple of 148 and 185? 740 What is the common denominator of 43/285 and -77/1767? 8835 Calculate the smallest common multiple of 1751 and 309. 5253 Calculate the common denominator of -69/2 and -99/118. 118 What is the smallest common multiple of 18 and 1584? 1584 What is the common denominator of -43 and 59/2? 2 Calculate the lowest common multiple of 6 and 2668. 8004 Calculate the common denominator of 25/48 and -83/188. 2256 Calculate the least common multiple of 7 and 63. 63 Calculate the smallest common multiple of 8 and 4796. 9592 Calculate the smallest common multiple of 2 and 716. 716 Calculate the lowest common multiple of 741 and 21. 5187 What is the common denominator of 119/3018 and -19/75? 75450 Calculate the least common multiple of 81 and 75. 2025 Find the common denominator of -26/27 and 23/1842. 16578 What is the lowest common multiple of 3825 and 20? 15300 What is the common denominator of 8/33 and -88/15? 165 What is the least common mu
{ "pile_set_name": "DM Mathematics" }
6, 0, 1 Let z be ((-222)/(-30) - 7)/(1/10). Determine x, given that 0*x + 0*x**2 + 0*x**3 + 0 - 1/5*x**z = 0. 0 Let y(o) = o**3 + 6*o**2 + 6*o + 5. Let h be y(-5). Suppose 3*n + 1 - 16 = h. Factor 2*c**5 + 20*c**2 - 2*c**5 + 20*c**3 + 10*c**4 + 2 + 10*c + 2*c**n. 2*(c + 1)**5 Factor 0*x**2 + 0*x + 1/5*x**4 - 1/5*x**3 + 0. x**3*(x - 1)/5 Suppose 5 = 7*q - 9. Factor 2/7*u**5 - 4/7*u**q - 6/7*u**3 + 0*u**4 + 0*u + 0. 2*u**2*(u - 2)*(u + 1)**2/7 Let h(c) be the first derivative of -c**6/150 - c**5/50 + c**4/15 + 4*c**3/15 - 2*c + 1. Let m(s) be the first derivative of h(s). Solve m(y) = 0. -2, 0, 2 Let r = -846 - -850. Find g, given that 0 + 4/3*g + 0*g**3 + 2/3*g**r - 2*g**2 = 0. -2, 0, 1 Determine j, given that 3/7 + 1/7*j**2 + 1/7*j**3 - 5/7*j = 0. -3, 1 Let g(d) be the second derivative of d**4/66 - 4*d**3/33 + 3*d**2/11 - 6*d. What is o in g(o) = 0? 1, 3 Let w(j) be the first derivative of -35*j**5/6 + 85*j**4/24 + 17*j**3/3 - j**2/3 - 4*j/3 - 5. Solve w(v) = 0. -2/5, 2/7, 1 Let q(v) be the second derivative of -v**7/84 + v**6/10 - 13*v**5/40 + v**4/2 - v**3/3 + 15*v. Suppose q(a) = 0. Calculate a. 0, 1, 2 Suppose 6*m - 3*m = 93. Suppose -3*g**4 - 33*g**3 + m*g**3 + g**4 = 0. What is g? -1, 0 Let p = 9 + -5. Suppose -f = -p*f + 21. Solve 9*a**2 - 5*a - f*a + 2 + 5*a - 5*a**3 + a**4 = 0 for a. 1, 2 Let i(s) be the first derivative of s**6/10 + 12*s**5/25 + 3*s**4/4 + 2*s**3/5 + 9. Let i(a) = 0. What is a? -2, -1, 0 Let g(d) = d**2 + d - 1. Let t(f) = f**3 + 11*f**2 + 47*f + 9. Let c(o) = -g(o) - t(o). Let u(k) be the first derivative of c(k). Suppose u(v) = 0. What is v? -4 Let h(p) be the third derivative of 1/315*p**7 - 3*p**2 + 0*p + 1/504*p**8 - 1/180*p**6 + 0 + 0*p**3 - 1/90*p**5 + 0*p**4. Let h(l) = 0. What is l? -1, 0, 1 Let c(u) = -u**2 - u**2 + 0*u + 6*u. Let p = 10 - 6. Let t(n) = -3*n**2 + 7*n - 1. Let v(w) = p*t(w) - 3*c(w). Factor v(a). -2*(a - 1)*(3*a - 2) Let c(g) be the third derivative of g**6/120 - 3*g**5/20 + 5*g**4/6 - 2*g**3 + 23*g**2. Factor c(k). (k - 6)*(k - 2)*(k - 1) Suppose -2*t = t - 4*a, 3*a + 11 = 5*t. Let f(v) = 4*v + 56. Let y be f(-14). Solve -44/5*h**3 - 42/5*h**t + 2/5*h**2 + y + 4/5*h = 0. -1, -1/3, 0, 2/7 Let t(u) be the first derivative of -u**5/30 + u**4/6 - 2*u**2 - 3. Let w(k) be the second derivative of t(k). Factor w(s). -2*s*(s - 2) Factor -2*j**2 - 5*j - 6*j**2 - 2*j**2 + 5*j**2. -5*j*(j + 1) Let m(n) be the third derivative of -n**6/80 + n**5/30 - n**4/48 + 14*n**2 + 1. Factor m(r). -r*(r - 1)*(3*r - 1)/2 Suppose -5*r - 3 = 2. Let q be 14/6 - r/(-3). Solve -2*t**3 - 13*t**2 + 13*t**q + 2*t**4 = 0. 0, 1 Factor -1/4*y**2 + 3/4 - 1/2*y. -(y - 1)*(y + 3)/4 Let o(q) = -6*q**3 - 26*q**2 - 18*q - 14. Let p(w) = -5*w - 38 - w - 9*w**2 + 33 - 2*w**3. Let z(s) = -3*o(s) + 8*p(s). Factor z(c). 2*(c + 1)**3 Let m = 2/5 + 1/10. Let q = 2/41 + 115/164. Solve -3/2*d**3 + 1/2*d**4 + m + q*d + 3/4*d**5 - d**2 = 0. -1, -2/3, 1 Let m(q) = -7*q**2 - 22*q - 20. Let s(n) = -29*n**2 - 89*n - 80. Let x(t) = 9*m(t) - 2*s(t). Factor x(d). -5*(d + 2)**2 Suppose 3*a + 9 = 2*m + 22, -3*m - 15 = -3*a. Let j be (-2 - -7)*m/(-5). Suppose 0 - 2/7*u**j - 2/7*u = 0. What is u? -1, 0 Let o(j) be the second derivative of 3*j**5/20 - j**4/4 - j**3/2 + 3*j**2/2 - 17*j. Find t such that o(t) = 0. -1, 1 Let z = 98 - 93. Let h(u) be the second derivative of 1/12*u**4 - 1/30*u**6 - 1/12*u**3 + 1/84*u**7 + 0 + 0*u**2 + 0*u**z - u. Suppose h(a) = 0. Calculate a. -1, 0, 1 Let a(y) = -6*y**2 - 4 + 0*y - 4*y + 5*y**2 + 0*y. Let s(f) = -3*f**2 - 11*f - 11. Let c(b) = -11*a(b) + 4*s(b). Factor c(z). -z**2 Suppose 2*n - 2*r + 45 = -3*n, n = -r - 2. Let t = 9 + n. Solve 2*z**t - z - 4*z**2 - z = 0. -1, 0 Let g(c) be the first derivative of -5*c**3/3 + 15*c**2/2 - 10*c + 29. Let g(h) = 0. What is h? 1, 2 Let b = -23/42 - -5/6. Find m, given that -4/7*m**2 - b*m + 0 - 2/7*m**3 = 0. -1, 0 Factor 2*d**2 + 0*d**4 + d**4 + 8*d**3 - 5*d**3. d**2*(d + 1)*(d + 2) Let u be 1/(1 + 21/(-17)). Let o = u + 9/2. Determine f so that -1/2*f**2 + o*f**4 + 1/4 + 0*f**3 + 0*f = 0. -1, 1 Suppose 10 = l - 4*b, 5*l + 0 = -3*b + 4. Factor -16/5*o**l + 2*o**3 + 0 + 8/5*o - 2/5*o**4. -2*o*(o - 2)**2*(o - 1)/5 Let h(n) be the second derivative of n**6/600 - n**5/150 + n**4/120 - n**2/2 + n. Let i(b) be the first derivative of h(b). Factor i(k). k*(k - 1)**2/5 Let i(j) = -j**3 + 4*j**2 + 5. Let t be i(4). Let a = -61/2 - -31. Determine u so that u**2 + a*u**t + 0*u - 1/4 - 3/4*u**4 - 1/2*u**3 = 0. -1, -1/2, 1 Let b be (-5398)/104 - (-24)/156. Let l = b + 52. Factor l*p**2 + 0*p + 1/4*p**3 + 0. p**2*(p + 1)/4 Suppose -k - 3*k + 4*z = 56, 4*k = -3*z - 28. Let a(g) = g + 10. Let u be a(k). Determine l, given that 0 + u*l - 1/2*l**5 + 1/2*l**4 + 1/2*l**3 - 1/2*l**2 = 0. -1, 0, 1 Factor 3/7 - 4/7*d + 1/7*d**2. (d - 3)*(d - 1)/7 Let j(y) be the third derivative of 0*y**4 + 1/3*y**3 + 0*y - 1/180*y**6 + 0 + 1/60*y**5 - 4*y**2. Let f(c) be the first derivative of j(c). Factor f(m). -2*m*(m - 1) Let y(h) = -6*h - 7*h + 7 + 2*h + 11*h**2. Let f(t) = -5*t**2 + 5*t - 3. Let u be ((-2)/8 + 1)*-4. Let g(m) = u*y(m) - 7*f(m). Find p, given that g(p) = 0. 0, 1 Let g(i) be the first derivative of -i**8/7560 - i**7/3780 + i**6/540 + i**5/108 + i**4/54 + i**3/3 - 1. Let m(c) be the third derivative of g(c). Factor m(l). -2*(l - 2)*(l + 1)**3/9 Factor 0*c + 2*c**4 - 1/5*c**5 - 5*c**3 + 0*c**2 + 0. -c**3*(c - 5)**2/5 Suppose -30 = 2*i + 4*o, 4*i + 2*o - 3*o + 60 = 0. Let c be (5/i)/(2/(-12)). Solve -g**4 - 4*g**2 - c*g + g**2 + 3*g**2 + g**2 + 2*g**3 = 0. -1, 0, 1, 2 Let k(b) = 6*b**2 + 8*b + 6. Let u(a) = 5*a**2 + 7*a + 5. Let l be 2*2*(0 + -1). Let t be (l/(-5))/(2/(-10)). Let o(f) = t*u(f) + 3*k(f). Factor o(h). -2*(h + 1)**2 Let r(h) be the first derivative of -4*h**5/5 + 4*h**3 + 4*h**2 - 8. Solve r(z) = 0. -1, 0, 2 Let l(u) = -28*u**2 + 24*u + 6. Let j(d) = 29*d**2 - 25*d - 7. Let b(a) = 2*j(a) + 3*l(a). Find p such that b(p) = 0. -2/13, 1 Let n(y) be the first derivative of -1 - 4*y + 13*y**2 - 1/2*y**4 + 46/5*y**5 - 14*y**3 - 4*y**6. Let n(u) = 0. What is u? -1, 1/4, 2/3, 1 Let p(b) be the third derivative of -1/12*b**4 - 5*b**2 + 0*b - 1/60*b**5 - 1/6*b**3 + 0. What is z in p(z) = 0? -1 Let i be 1*(2 + 3) - 1. Suppose -q = -v - 6, 2*v + i = 3*q - 11. Factor j**2 - q*j**2 - 4*j**3 + 2 + 2*j + j**2 + 2*j**4 + 2*j**5 - 3*j**2. 2*(j - 1)**2*(j + 1)**3 Let p(w) be the second derivative of 2/3*w**3 - w**2 - 4*w - 1/6*w**4 + 0. Suppose p(x) = 0. What is x? 1 Let j(m) = m**3 + m + 1. Let q(i) = -9*i**3 + 7*i**2 - 3*i - 5. Suppose -12 = -4*d - 2*g, -4*g + 2 = -4*d - 10. Let w(v) = d*q(v) + 5*j(v). Factor w(z). -z*(z - 2)*(4*z + 1) Suppose -5*c + 11*c - 84 = 0. Let m be (c/(-5) + 3)*1. Factor m*u**3 + 0*u + 0 - 1/5*u**2. u**2*(u - 1)/5 Let n = -965 - -969. Find v, given that 0*v**3 + 0 + 2/5*v**n - 2/5*v**2 + 0*v = 0. -1, 0, 1 Let n = -2 - 1. Let l be n + 33/9 + 0. Factor l*j - 1/3 - 1/3*j**2. -(j - 1)**2/3 Let u(q) be the second derivative of q**6/480 + q**5/80 + q**4/32 + q**3/24 + 3*q**2/2 + 4*q. Let l(v) be the first derivative of u(v). Factor l(r). (r + 1)**3/4 Let b(t) be the first derivative of -2 + 0*t**2 + 4/5*t**5 + 0*t**3 + 1/2*t**4 + 1/3*t**6 + 0*t. Determine w so that b(w) = 0. -1, 0 Let z = -10 + 9. Let l = 5/4 + z. Factor 0 - 1/4*s**2 + l*s**3 + 1/4*s**4 - 1/4*s. s*(s - 1)*(s + 1)**2/4 Let p(r) be the second derivative of -3/4*r**3 - 4*r + 1/21*r**7 - 1/2*r**2 + 1/5*r**6 - 5/12*r**4 + 0 + 1/8*r**5. Suppose p(g) = 0. What is g? -2, -1, -1/2, 1 Let w(y) = -3*y**5 - 7*y**4 + y**3 + 23*y**2 - 2*y - 14. Let h(t) = 3*t**5 + 6*t**4 - 24*t**2 + 3*t + 15. Let k(f) = 2*h(f) + 3*w(f). Solve k(j) = 0 for j. -2, -1, 1 Let c(r) be the second derivative of r**8/5880 - r**7/1470 + r**6/1260 + r**3/2 - r. Let y(m) be the second derivative of c(m). Solve y(q) = 0. 0, 1 Let u(m) be the first derivative of 4/15*m - 1 + 1/5*m**2 + 2/45*m**3. Solve u(b) = 0. -2, -1 Let o(g) = g**3 + g + 1. Let h(r) = -4*r**3 - 6*r - 5. Let s(v) = 2*h(v) + 10*o(v). Factor s(k). 2*k*(k - 1)*(k + 1) Factor 12/5*n**2 - 3/5*n**3 + 0 - 12/5*n. -3*n*(n - 2)**2/5 Let h(m) be the third derivative of -m**7/4200 + m**6/1200 - m**4/6 - 4*m**2. Let k(a) be the second derivative of h(a). Factor k(d). -3*d*(d - 1)/5 Let u(s) be the
{ "pile_set_name": "DM Mathematics" }
f - r, 3*f + r = 41 - 12. Suppose 262 = 3*i - 386. Let a be 189/i*(-164)/(-14). Is a > f? False Let z(t) = 37*t + 222. Let f be z(-6). Suppose -26*b - 15 - 11 = f. Let g be (-4)/3*(-3)/254. Are g and b equal? False Suppose d - 348 = 3*w - 118, -2*w + d - 153 = 0. Let c = -71 - w. Is 6 greater than or equal to c? True Let g be 3*4/6 + 90. Let r = -103043/5 + 20703. Let l = g - r. Is l bigger than -3? True Let n be 1 - 562*932/(-80). Let q = -6586 + n. Let k = 459/10 + q. Which is smaller: k or 8? 8 Suppose -6 = -2*o - 3*x, 6*o + 2*x - 4 = 4*o. Let v be (-36 + o)*(30/(-9) + 4). Does v = -30? False Suppose 0 = -14*w + 676 + 192. Is 28 bigger than w? False Let s(f) = -4*f - 12. Let k be s(10). Let o = k + 57. Suppose 3*p + q + 9 = 5*p, p + o*q = -1. Is 2 < p? True Let f = 113 + 105. Let x = f + -145. Let n be ((-10)/(-55) - (-2)/(-11))/(-2). Which is smaller: n or x? n Suppose -2*c = -3*c + 2*c. Let k(s) = -3*s + 79. Let i be k(c). Let z = 47 - i. Which is smaller: z or -31? z Let f(r) = -r**3 - r**2. Let n(z) = 3*z**3 - 3*z**2 + 4*z + 9. Let j(p) = -4*f(p) - n(p). Let d be j(-7). Is d smaller than 0.4? False Let n(r) = 22*r + 63. Let i be n(-21). Let y = i + 5193/13. Is y at least 1? False Let i = 27 + -26.9. Let k = -2124 - -2123.763. Which is smaller: i or k? k Let b(d) be the first derivative of -2*d**3/3 - 9*d**2/2 - 4*d - 1. Let j be b(-8). Suppose 0 = 7*v - 3*c + 4*c + 417, 5*c = -20. Which is smaller: j or v? j Let c = 22.2 - 55. Let r = -31.94 - 1.06. Let d = c - r. Which is smaller: d or 2? d Let p = -0.16 - -0.25. Let g = 222.97 - 222. Let d = 1.37 - g. Which is greater: p or d? d Suppose -3*j + 309 = -231. Suppose -11*p + 9*p = -j. Let m = 86 - p. Which is smaller: m or -2? m Let y be ((-296)/8)/((-4)/8*2). Suppose 2*c = -g - 241, 0 = -y*g + 40*g - c + 716. Is g at most -241? False Let f be (-11)/(-3) + (-18)/27. Let l be (-6)/(-15) - f/(-5). Are -6/119 and l unequal? True Let u = -62 - -36. Let l = -37 + 67. Let c = u + l. Which is smaller: 1/2 or c? 1/2 Suppose -f + 177 = 3*j, 4*f = 3*j + 665 - 47. Which is bigger: 157 or f? f Let o = 354 - 133. Suppose 0 = -3*i - o + 242. Which is bigger: i or -2/9? i Let o(n) = -8*n - 1 + 1 + 0*n. Let r be o(-5). Suppose -35*u = -r*u. Is u > 1/39? False Let c be -11 + (-6 - -6) - (-85515)/7770. Is c bigger than 1? False Let s(l) = 410*l - 2050. Let t be s(5). Is -4/1211 greater than t? False Suppose -6 + 27 = -w - 5*g, 0 = 5*w + 12*g + 92. Let t be 130/4*(-12)/25. Which is greater: t or w? t Let j(r) = r - 4. Let s be j(6). Suppose 0 = s*t - 0*t - 94. Let w = 11971 - 11925. Are w and t nonequal? True Let c(v) = v**3 - 19*v**2 - 39*v - 56. Let w = -38 + 59. Let n be c(w). Is -0.1 less than n? True Let h = -111/94 - 15/47. Let p = -8.91 + 9. Let r = p + -1.09. Which is smaller: r or h? h Let w(v) = 862*v**3 + v**2 + 6*v + 6. Let j be w(-1). Let c be 15/(-21) - -1 - (-218)/j. Which is smaller: c or 0? 0 Let i(c) = c**2 - 8*c + 14. Let b be i(5). Suppose -3*f + f - 4 = 0. Let x be (-13)/15 + f/(-10). Which is smaller: x or b? b Suppose -6*k + 3*i = -k - 9, 0 = -2*k + 3*i. Suppose -5*v - k*x + 2 = 0, -2*v - x - 6 = 3*v. Does v = -5? False Let j = 160.74 - 3.74. Let k = -192 + j. Which is smaller: 0.3 or k? k Let z = -7.088 + 6.748. Does 0.024 = z? False Let g be ((-12)/(-20))/((-18)/(-60)). Suppose 0 = 60*o - 59*o + g. Is o at least as big as -36/37? False Let o = 82 + -154. Suppose 0 = -3*y - 2*f - 11372, 0 = -5*y - 4*f - 0*f - 18956. Let c be (-8)/52 + 1/(52/y). Which is smaller: c or o? c Let k = -23749 + 24555. Which is smaller: 5644/7 or k? k Suppose 3*d = -4*r + 20, 0 = -3*r - 2*r - 2*d + 25. Suppose 2*o + 0 = -3*v - r, -3 = v + o. Which is smaller: v or -4/17? -4/17 Suppose 352934 = 18*r - 75232. Let c be ((-10464)/r)/2 + (-2)/(-9). Is c at most 0? False Let p = -26376 + 29233. Is 2858 < p? False Let u = -5692.341 + 5706. Let q = u - 14. Let f = 0.041 + q. Are f and -6 nonequal? True Let h be 10652/3 - (-75)/(7200/(-256)). Is h less than or equal to 3548? True Suppose 111 = 4*i - 113. Let j(t) be the second derivative of -4*t**3/3 - 9*t**2/2 - 21*t. Let z be j(-8). Which is smaller: i or z? z Let d = 1124.9 + -1125. Let o(b) = -b + 1. Let c be o(2). Let s be (2/2)/((-3)/c). Is d bigger than s? False Let p be (19 - -6) + (4 - (3 + -1)). Let h be (-1062)/p*6/(-4)*1. Suppose -165 = -3*q + 4*r, 0 = -q - 2*q + 2*r + 171. Is h > q? False Suppose 0 = 11*p - 187 - 143. Suppose 2*f - 28 + p = 0. Which is bigger: f or -10/11? -10/11 Let s be (1/(-20))/(1 + 1). Let i = 38293 - 38292. Is i at least as big as s? True Suppose 5*h + 82 + 223 = 0. Let c = 69 + h. Suppose 29 = c*r + 5. Are r and 9/5 equal? False Let h be (98/(-147))/(1/(-6)). Suppose 5*a - 4*a + 1 = 5*q, -q - h*a + 17 = 0. Which is smaller: -2/827 or q? -2/827 Suppose -172*v + 1 = -173*v. Is 10/387 smaller than v? False Let b = -21.61 + 21.31. Suppose -5*j - 4*n = 70, -j - 4*n + 8 = 38. Let f be 1/j + 1/5. Which is bigger: b or f? f Let y = 8778 + -8778.08. Which is greater: 0.095 or y? 0.095 Let g(r) = -671*r - 3674. Let n be g(-7). Which is greater: 1020 or n? n Let b be 69343386/34496 - (26/22 - 1). Let s = b - 2010. Which is greater: 0 or s? s Let g = -9.62 + 2.46. Let w = 0.71 + g. Let b = w + 0.45. Are 1/4 and b equal? False Let o(v) = -v**3 - 3*v**2 + 2. Let x be o(0). Let f be (-6)/(-6) + -77 - (-1 - x). Is f equal to -73? True Suppose -50*v + 6005 - 9255 = 0. Which is bigger: -2/11 or v? -2/11 Let b = -19435 + 19715.94. Let u = b + -281. Which is smaller: u or -5? -5 Suppose 317 = 2*t + 5*x, 2*t = 55*x - 57*x + 314. Suppose -5*h + 87 = -2*g, -35*g - 4*h + t = -39*g. Let c = -87 + 52. Which is smaller: g or c? g Let k = 3.2055 + 0.7945. Which is smaller: k or 17/7? 17/7 Suppose 4*o - v - 19 = 0, 5*o + v - 9 = 17. Suppose 3*i + 1 = 4*w, -5 = -4*i + o*w - 6. Let g = 0.2 + 0.1. Which is bigger: g or i? i Suppose 0 = 99*h - 0 - 0. Is 2/72113 less than h? False Suppose 4*v - 41*v - 554136 = 29*v. Is -8395 at most as big as v? False Let a = 654.6756 - 699.61. Let o = a + -0.0656. Which is greater: o or -0.4? -0.4 Let g = -1.0216 + 32.2216. Which is bigger: g or 2/27? g Let b = 0.96 + -0.57. Let h = 135.61 + -130. Let g = b + h. Is g > -2? True Let n be 4/(-4 + (-343)/(-119)). Let m = -155/38 - n. Let q(v) = -v**3 + 4*v**2 - 2*v - 1. Let r be q(4). Is r bigger than m? False Let x = 84076 - 1094060/13. Is x less than -82? True Let u = -0.74 - -18.64. Let o = u - 17.896. Is o > 1? False Let r = -789983/257 - -1305744251/426620. Let b = -3/332 + r. Is -14 equal to b? False Suppose 8*d + 32 = 16*d. Let n be d/22 + 174/(-231). Suppose 3 = 4*t + 5*h - 13, 2*t - 4*h = -18. Which is bigger: t or n? n Suppose -4*m = -7*p + 9*p - 42, 0 = -p + m + 9. Let a(n) = -n**3 + 16*n**2 - 36*n + 15. Let i be a(p). Is i equal to 53? False Let w be 22/6*21/(-6). Let j = -12229 - -12217. Which is bigger: w or j? j Suppose 67 = -s + 9. Let b be 5 + s/12 + (-125)/(-6). Let q be (-4)/30*(5 + (-70)/b). Which is smaller: -1 or q? -1 Let k(l) = 7 - 3*l - 2 + l**2 - 32. Let b be k(-4). Is -4.6 less than or equal to b? True Let h be (-12)/36 - 16/6 - -12. Let c be 2/(-1 + -1 + 12/h). Let v be ((-2)/5)/((-2)/(-10)). Which is bigger: c or v? v Let u(p) = 5*p**2 + 342*p + 283. Let k be u(-62). Which is greater: -1699 or k? -1699 Suppose 8*s - 7*s = 3. Suppose -s*k - 48 = -4*v, -6*k + 2*k = 4*v - 76. Suppose 4 = -m - v. Which is bigger: -20 or m? m Suppose -7*f = -0*f - 17*f - 220. Is f greater than 359? False Let h = -0.053 + -8.147. Let k = h + 49.2. Which is smaller: 0.1 or k? 0.1 Let t = -0.00628 - -1.58928. Is t <= -1? False Let g = 629 - 621. Let k(b) = -b**3 + 11*b**2 - 9*b - 10. Let v = 27 - 17. Let z be k(v). Is g at least as big as z? True Let q be 10*(444/(-15) + -2). Let h(l) = -2*l**3 - 51*l**2 - 291*l + 43. Let v be h(-15). Is q equal to v? False Let c be 4 + -12 + 6 + (-90)/(-39). Are -0.05 and c equal? False Let h = -7734 - -363484/47. Which is bigger: h or 0? 0 Let a be (-742)/1264 + 70/112. Is a > -19? True Let m = 1193 - 960. Is m < 234? True Let w = 374.3 + -26.3. Let n = w + -349.5. Let m = -2 + 3. Is n less than m? True Suppose 608 - 914 = 102*f. Which is smaller: f or -3467? -3467 Let v = -67169/92 - -730. Which is smaller: -0.05 or v? v Let l = -151 -
{ "pile_set_name": "DM Mathematics" }
(v) = 8*v**2 + 6*v + 11. Let f(z) = 2*c(z) + 5*i(z). What is f(8)? 37 Let v(g) = g**3 - 9*g**2 + 4*g. Let w be v(1). Let n(j) = -10*j + 7. Give n(w). 47 Let p(k) = 20 - 26 + k + 10. Suppose -2*n + d + 275 = 0, 568 = 4*n + 2*d + 2*d. Suppose a = n - 135. Determine p(a). 8 Let a(l) = 2*l**2 - 35*l - 7. Suppose -2*f = 2, 0 = -3*q - 8*f + 4*f + 50. Determine a(q). 11 Let c(o) = 23*o + 1. Let j be c(1). Suppose j*h - 22*h = 0. Let d(q) = q + 10. What is d(h)? 10 Let b(q) = q**3 - 6*q**2 + 2*q + 4. Let i be b(4). Let m = i + 24. Let w(n) = n + 4. Give w(m). 8 Let f(u) = 2726 - u**2 - 5404 + 2726. Determine f(7). -1 Suppose l + 4*l - 14 = 2*u, 29 = 3*u + 5*l. Let r(s) = s**3 + 2*s + 2*s**2 + 3 - 5*s + u*s - 2*s. Let p be 4/(-5)*((-1)/2 + -2). Give r(p). 15 Let l(n) be the second derivative of -2*n**3 + 47*n**2/2 - 9909*n. Give l(6). -25 Let l(h) = 5*h + 2. Let f(v) = -5*v - 2. Let p be 14/(-3) + 1/(-3). Let n(o) = p*f(o) - 6*l(o). Let k be (3*(-7)/14)/(180/30*3/24). What is n(k)? 8 Let r(w) = -148 + 190 + 24*w**2 + 97*w - 62*w**3 + 28*w**3 + 35*w**3. Determine r(-19). 4 Let v(z) be the first derivative of 3*z**5/20 - z**2 + z + 42. Let p(f) be the second derivative of v(f). Determine p(-1). 9 Let h(n) = -2 + 2*n - 8*n + n**2 - 4*n. Suppose 30*o - 369 = 2*o - 13*o. What is h(o)? -11 Let w(c) = 356*c - 4277. Let y be w(12). Let u(h) = -h**3 - 5*h**2 - 14*h - 64. Calculate u(y). 6 Let j(v) = -43*v + 4. Let t be j(-2). Let x(y) = -t*y + y**2 + 4 + 172*y - 90*y. Determine x(8). 4 Let h(s) be the third derivative of -s**6/30 - s**5/60 + 5*s**4/24 + s**3/2 - 9797*s**2. Calculate h(-2). 21 Let w(h) = h**2 + 32*h + 59. Let k(s) = -366*s + 11682. Let x be k(32). Calculate w(x). -1 Let b be 4*-1 - (-38)/(-95)*-35. Let m(g) = 24*g + 0*g**2 - 11*g - 22 - g**2. What is m(b)? 8 Let m be (-2)/((-2)/244*4). Let z = m + -57. Let w(y) = -2*y + 7 - 2*y + z*y + y. Give w(-4). 3 Let o(u) be the second derivative of -u**3/3 - 3*u**2/2 - u. Let p(t) = 9*t**2 - 14*t. Let b be p(-5). Let j = b + -300. What is o(j)? 7 Let u(v) = 27*v**3 + 13*v**2 + 46*v - 78. Let z(y) = 8*y**3 + 5*y**2 + 15*y - 26. Let x(c) = -3*u(c) + 10*z(c). Give x(12). -26 Let n = 2025 + -2016. Let i(m) = m**2 - 3*m - 58. Give i(n). -4 Let y(l) = -l**2 + 3*l + 2. Let z be ((-7)/(21/(-4)))/((-52)/78). What is y(z)? -8 Let q(s) = 12*s**2 + 127*s + 537. Let p(b) = 19*b**2 + 192*b + 808. Let n(m) = 5*p(m) - 8*q(m). What is n(-51)? -1 Let d(x) = 49 - 414*x + 0 + 418*x. Determine d(-12). 1 Let x = -3153 - -3155. Let f(s) = 7*s**2 - s + 1. Give f(x). 27 Suppose 2*z = 33 - 7. Let q(h) = 5 - 10 + h**2 - z. Calculate q(0). -18 Let s(o) = 3827*o - 19 + 3825*o - 11484*o - o**2 + 3832*o. Give s(-5). -44 Let h(f) be the third derivative of f**5/60 - f**3/6 - 80*f**2. Let u(p) = p**3 - 4*p**2 + p + 5. Let s(j) = 2*h(j) - u(j). Calculate s(5). 13 Let r(x) = 2*x**3 - 25*x**2 - 26*x - 1. Let a be r(-1). Let g(z) = 1. Suppose -2*t - 1 = -3*t. Let k(i) = -9*i + 2. Let o(y) = t*k(y) - g(y). Give o(a). 19 Let g(m) be the first derivative of -5*m**2/2 + 65*m + 7322. What is g(11)? 10 Suppose -5 = 4*g + t + 3, 19 = g - 5*t. Let j be 24/3 - g*3. Let h(z) = z**2 - 11*z + 3. Calculate h(j). 3 Let a = 913 - 924. Let q(v) = v - 24. What is q(a)? -35 Suppose 0 = 2*c - 10, -4*s = -c - 4*c + 41. Let a(n) = 2*n**2 + 28*n + 90. Let f be a(s). Let q(i) = i**3 - 11*i**2 + 12*i - 15. Give q(f). 5 Let s(i) be the first derivative of i**2/2 + 10*i + 2. Let a be (-7 - -9 - -4)/((-10)/(360/27)). Give s(a). 2 Let q(z) = -z**2 - 19*z + 8. Let k(s) = s - 1. Let v(l) = -6*k(l) - q(l). Let g = 256149 + -256161. Give v(g). -14 Let h(s) = -s**3 + s**2 - 16. Let l = 2 + 2. Suppose -3*y + 6 = -4*a, 4*a + 0*y + 10 = 5*y. Suppose -16*r + l*r = a. Calculate h(r). -16 Let c be -6 + (-1 - (-7 + -7)). Let s(y) = c*y - 8*y - 6 + 4 + 0 - y**2 + 0. Give s(0). -2 Let o(a) = 3*a**2 - 159*a - 139. Let f be o(54). Suppose 17 + 55 = -4*y. Let w = f + y. Let u(x) = -x**3 + 4*x**2 + 5*x + 2. Calculate u(w). 2 Let l(j) = 25*j**3 - 19*j**2 - 22*j + 9. Let o(p) = -11*p**3 + 8*p**2 + 10*p - 4. Let t(k) = -3*l(k) - 7*o(k). Determine t(3). 52 Let i(u) be the first derivative of u**6/120 + u**5/20 - u**4/3 - u**3/2 + u**2 + 52*u - 155. Let a(t) be the second derivative of i(t). What is a(-5)? -13 Let t(f) = f**2 + 3*f - 28. Let p = 4121 + -4128. What is t(p)? 0 Let z(f) = -31*f + 58. Let l(n) = n - 1. Let x(w) = 24*w - 41. Let y(j) = 2*l(j) - x(j). Let k(r) = 7*y(r) - 5*z(r). Calculate k(7). -10 Let h(f) = -20*f + 303. Let g be h(15). Let r(k) = -28 + k**g + 3*k**2 + 2*k - 14 - 26 + 66. What is r(-4)? -26 Let o be (5 - -1)*(-1 - -2). Let v(u) = 54*u - 809. Let n be v(15). Let r(z) = -o*z + n + 5*z + 3*z + 0. Calculate r(2). 5 Let g(u) = u**2 + 21*u + 59. Suppose 73*f + 54 = 70*f. Determine g(f). 5 Let n(s) = 8*s - 123. Let w(d) = d - 13. Let q(f) = -n(f) + 7*w(f). What is q(36)? -4 Let v be -1 + 4 + (0 - -1). Let m(p) be the second derivative of p**5/20 - p**4/3 + 2*p**3/3 + 3*p**2/2 - 7028*p. Calculate m(v). 19 Let b be (1 + -1 - 0) + -1. Let d be 4/3 - (-1 + (-80)/(-15)). Let v(u) = -34*u - 5. Let n(y) = -13*y - 2. Let l(s) = d*v(s) + 8*n(s). Calculate l(b). 1 Let i(l) be the second derivative of -13*l**3/2 + 3*l**2 - 427*l + 1. Calculate i(2). -72 Let c(r) = 136*r - 1771. Let m be c(13). Let j(n) = -3*n**2 - 8*n - 4. Give j(m). -7 Let w be (5 - (4 + -3))*(-8)/(-16). Let m(d) be the second derivative of -3*d + 1/2*d**2 + 1/3*d**3 + 0. Give m(w). 5 Let b(z) = -13*z - 1 - 14*z - 10*z. Let w = -21852 + 21853. What is b(w)? -38 Let i(m) be the second derivative of 7*m**5/20 + 7*m**4/12 - 7*m**3/6 + 2*m**2 - m - 3138. What is i(2)? 74 Suppose -151 = -51*h + 53. Let t(o) = -36*o + 36. Let p(v) = -7*v + 7. Let c(w) = -21*p(w) + 4*t(w). Give c(h). 9 Let m(g) = -69*g - 2. Let f(t) = -58*t - 3. Let c(k) = -6*f(k) + 5*m(k). What is c(-4)? -4 Let o(a) = -3*a**3 + 6*a**2 + a + 3. Let i(k) = -2*k**3 + 5*k**2 + k + 2. Let v(r) = -5*i(r) + 4*o(r). Let s = -3541 - -3542. Give v(s). -2 Let p be 192/42 + 3/(-21)*18 + 2. Let c(l) = -13*l + 46. Calculate c(p). -6 Let f(l) = l**3 - 4*l**2 - 6*l - 3. Let t be (-6)/(-9)*3051/(-18). Let s = t + 118. What is f(s)? -8 Let g(o) = 28*o + 332. Let m be g(-12). Let x(y) = 27*y + 108. Let h be x(m). Let z(v) = -v**3 + v**2 - v - 2. Determine z(h). -2 Let v be -1*1 - (-6)/2. Let r = v - 0. Let x(z) = 24*z + 379. Let c(i) = 36*i + 607. Let l(u) = 5*c(u) - 8*x(u). Calculate l(r). -21 Let m(g) = -123*g + 3580. Let z be m(29). Let v(o) = -o**2 + 16*o + 2. Give v(z). 41 Let j(m) be the first derivative of -m**3/3 + m**2 - m - 1. Suppose -38*w + 68*w = 120. Suppose -3*r = 10*q - 13*q + 15, -5*r + 20 = w*q. Determine j(q). -16 Suppose -j + 5 = -2*u, 4*j - 32 = -5*u - 51. Let d(l) = -15*l**2 - 4*l. Give d(j). -11 Let k = 42256 + -42254. Let d(o) be the second derivative of 7/2*o**2 - 29 + 1/6*o**3 - k*o. What is d(-6)? 1 Let t(c) = 240*c**3 - 480*c**3 - 8*c**2 - c + 0*c + 241*c**3 - 10. Give t(6). -88 Let g be -12 - (1*2)/(-2). Let n(t) = 5*t**2 + 121*t - 155. Let a(h) = -2*h**2 - 50*h + 69. Let c(x) = -7*a(x) - 3*n(x). Give c(g). 4 Let t(v) be the second derivative of -1/2*v**3 - 2*v - 2*v**2 + 7. Determine t(3). -13 Let w(t) = 2*t**2 + 9*t - 7. Let z(l) = l**2 + 5*l - 4. Let x(v) = 3*w(v) - 7*z(v). Let r = -369018 - -369008. Give x(r). -13 Let x(s) = 4*s**2 - 4*s. Let g = 3897 - 3902. Determine x(g). 120 Let f(m) = 4*m**2 + 3*m - 4. Let k be f(1). Let d(c) be the first derivative of -2*c - c**2 + 1/3*c**3 - 9. Calculate d(k). 1 Let h(p) = -p**3 + 9*p**2 + 11*p - 27. Let g(s) = s**3 - 6*s**2 + 19*s - 20. Let x be g(3). Calculate h(x). -17 Let j(d) = 2*d**3 + 7*d**2 - 2*d + 13. Let c be j(-4). Let s be (c - (-155)/(-25))/(6/20). Let b(w) = -w - 9. Determine b(s). -5 Let s be (8 - -2)/((-259)/(-42) + -6). Let n = s + -61. Let g(p) = p**2. Give g(n). 1 Let o(g) = g**3 - 2*g**2 - 2*g + 3. Let p = 64 - 12. Let c = p + -50. Suppose c*k + 8 = -2*k, 2*k = -j - 2. What is o(j)? -1 Let p(b) = b**3 - 5*b**2 - 8*b + 13. Let d be p(6). Let g(y) be the third derivative of 1/12*y**4 + 0 + 1/30*y**5 - 1/6*y**3 + 0*y + 6*y**2. Determine g(d). 3 Let o(s) = -398*s + 41. Let v(t) = -156*t + 21. Let q(c) = 2*o(c) - 5*v(c). Determine q(-13). 185 Suppose -205*n + 1472 = -113*n. Let
{ "pile_set_name": "DM Mathematics" }
st common multiple of 435 and 2916? 422820 What is the common denominator of -28/581009 and -20/9? 5229081 Find the common denominator of -73/21 and -23/41190. 288330 Find the common denominator of 87/75968 and -109/189920. 379840 What is the least common multiple of 20 and 855800? 855800 Find the common denominator of -1/219231 and -69/243590. 2192310 Calculate the lowest common multiple of 61875 and 1602. 11013750 What is the smallest common multiple of 1143 and 806323? 7256907 Calculate the smallest common multiple of 63993 and 140322. 11646726 Calculate the common denominator of -59/888 and -45/124. 27528 What is the common denominator of 46/526785 and 59/24360? 4214280 Calculate the lowest common multiple of 4752 and 22704. 204336 Calculate the common denominator of -53/8676 and 13/252. 60732 What is the common denominator of 49/3700 and 107/173900? 173900 Calculate the lowest common multiple of 53 and 38565. 2043945 What is the lowest common multiple of 816 and 20281? 973488 Find the common denominator of -9/10258 and -75/736. 164128 Calculate the lowest common multiple of 23180 and 2318. 23180 Find the common denominator of 69/5104 and -117/308. 35728 Find the common denominator of -119/10422 and 7/15633. 31266 Find the common denominator of 47/24 and 9/904. 2712 What is the smallest common multiple of 40 and 15250? 61000 Calculate the lowest common multiple of 4 and 479. 1916 What is the common denominator of 29/24506422 and -11/8? 98025688 What is the least common multiple of 104 and 16588? 33176 What is the lowest common multiple of 104 and 185653? 1485224 Calculate the common denominator of -29/468 and 119/15158. 272844 Calculate the lowest common multiple of 13475 and 55. 13475 Find the common denominator of 41/182 and 8/12761. 331786 Calculate the common denominator of 199/420 and 139/504. 2520 Find the common denominator of -119/12 and 93/14624. 43872 Find the common denominator of -22/9539 and -65/1106524. 1106524 Calculate the common denominator of -85/987 and 127/1410. 9870 Calculate the least common multiple of 54 and 327177. 1963062 Calculate the common denominator of -61/62 and -47/478. 14818 Calculate the smallest common multiple of 1512 and 1582. 170856 Find the common denominator of 37/2356380 and 89/600. 23563800 What is the smallest common multiple of 32 and 64684? 517472 Calculate the smallest common multiple of 11 and 16814. 184954 What is the common denominator of 53/54568 and -44/2109? 6057048 Calculate the common denominator of 70/3 and -31/34812. 34812 What is the common denominator of -57/6850 and 109/4110? 20550 What is the common denominator of -7/122431 and -20/641? 122431 What is the lowest common multiple of 13284 and 514632? 13895064 Calculate the least common multiple of 18 and 165. 990 Find the common denominator of -137/3360 and 32/21. 3360 Calculate the lowest common multiple of 384 and 999936. 999936 Calculate the smallest common multiple of 8950 and 109190. 545950 Find the common denominator of -79/8 and -76/36465. 291720 What is the common denominator of -33/20 and -7/480? 480 What is the lowest common multiple of 28 and 258881? 1035524 Find the common denominator of 151/456 and 29/2136. 40584 Find the common denominator of 19/22 and -29/5398. 59378 Find the common denominator of 29/7032 and -17/2637. 21096 Calculate the common denominator of 29/18 and -89/7782. 23346 Calculate the least common multiple of 45484 and 2055. 682260 What is the lowest common multiple of 3288 and 156? 42744 Find the common denominator of 139/72 and -121/54720. 54720 Find the common denominator of -29/51992 and -23/1261. 675896 What is the least common multiple of 2268 and 140? 11340 Find the common denominator of 119/450 and 97/23130. 115650 What is the common denominator of -25/28259 and 9/20405? 7488635 Calculate the common denominator of 131/17080 and -9/19520. 136640 What is the lowest common multiple of 909 and 26563? 239067 Calculate the common denominator of 73/22762 and 5/304. 182096 Calculate the common denominator of -73/23244 and -71/117. 69732 What is the lowest common multiple of 45156 and 28? 316092 Find the common denominator of 44/18459 and 5/2051. 18459 What is the common denominator of 49/60 and 1/6938? 208140 Calculate the common denominator of -19/4284 and 101/1626. 1160964 What is the lowest common multiple of 176 and 6992? 76912 What is the lowest common multiple of 23421 and 2? 46842 What is the least common multiple of 1089 and 17820? 196020 Calculate the common denominator of -10/567 and 32/19359. 135513 What is the smallest common multiple of 19 and 67385? 1280315 What is the common denominator of -101/440 and 137/13420? 26840 What is the smallest common multiple of 568 and 142? 568 Calculate the common denominator of -77/961308 and -61/19780. 4806540 What is the common denominator of -121/36732 and 49/232636? 697908 Calculate the common denominator of -23/216128 and -37/9680. 11887040 Calculate the smallest common multiple of 249 and 1026. 85158 What is the lowest common multiple of 834 and 80? 33360 Find the common denominator of -18/2695 and -89/10395. 72765 Calculate the smallest common multiple of 20845 and 110. 41690 What is the common denominator of -107/1500 and 153/50050? 1501500 What is the lowest common multiple of 23361 and 62296? 186888 What is the common denominator of 39/3098 and -87/10? 15490 Calculate the smallest common multiple of 728 and 728. 728 What is the least common multiple of 140008 and 1032? 420024 Calculate the common denominator of 143/40476 and -43/4. 40476 What is the smallest common multiple of 327915 and 36? 1311660 What is the common denominator of -125/1944 and 9/64? 15552 Calculate the common denominator of -9/66539 and 127/726. 4391574 Calculate the least common multiple of 512 and 1536. 1536 Calculate the common denominator of -113/1690 and 79/122. 103090 Calculate the smallest common multiple of 231825 and 363. 2550075 Find the common denominator of -67/7084 and 87/44. 7084 What is the lowest common multiple of 8 and 92696? 92696 Find the common denominator of -31/241875 and 22/8385. 3144375 What is the common denominator of -7/167 and -89/7642? 1276214 Find the common denominator of 77/6 and -50/1086921. 2173842 Calculate the least common multiple of 102276 and 45456. 409104 Calculate the least common multiple of 3080 and 627. 175560 Calculate the common denominator of -79/1044 and -106/315. 36540 What is the lowest common multiple of 1105 and 2380? 30940 Find the common denominator of 31/49 and 11/79842. 558894 What is the smallest common multiple of 8 and 1891360? 1891360 What is the lowest common multiple of 3 and 113373? 113373 Calculate the least common multiple of 2310 and 20235. 3116190 Calculate the common denominator of -81/268 and 57/737. 2948 Find the common denominator of -87/42272 and -9/128. 169088 Calculate the common denominator of 139/764808 and -4/3. 764808 What is the common denominator of 29/255 and -53/209? 53295 Calculate the smallest common multiple of 16315 and 9. 146835 Calculate the common denominator of 151/713148 and -45/8. 1426296 What is the lowest common multiple of 376 and 41304? 1941288 What is the least common multiple of 180 and 36942? 1108260 What is the smallest common multiple of 139254 and 139254? 139254 What is the least common multiple of 534456 and 133614? 534456 What is the lowest common multiple of 256 and 434? 55552 What is the lowest common multiple of 29350 and 45? 264150 Calculate the lowest common multiple of 191250 and 5625. 191250 What is the lowest common multiple of 20097 and 441? 140679 What is the least common multiple of 48 and 834? 6672 Calculate the common denominator of 83/147915 and 83/1035405. 1035405 Find the common denominator of 173/32256 and 157/42. 32256 Calculate the smallest common multiple of 1936 and 62436. 249744 Find the common denominator of -91/355864 and 67/444830. 1779320 Calculate the lowest common multiple of 9 and 82386. 82386 Find the common denominator of -9/2864 and 27/824. 294992 What is the common denominator of 33/2345 and 59/112560? 112560 What is the common denominator of 133/24012 and 113/2760? 240120 Find the common denominator of 24/292661 and -97/1755966. 17559
{ "pile_set_name": "DM Mathematics" }
rob of picking 1 d and 1 b. 1/21 Two letters picked without replacement from fbf. What is prob of picking 2 f? 1/3 What is prob of picking 2 q and 2 f when four letters picked without replacement from {m: 11, q: 2, f: 5, k: 2}? 2/969 Two letters picked without replacement from bxidc. Give prob of picking 1 c and 1 b. 1/10 Three letters picked without replacement from lrreyrkleekeyo. Give prob of picking 2 r and 1 e. 3/91 Two letters picked without replacement from {z: 1, j: 6, y: 1, u: 6, i: 1}. What is prob of picking 1 y and 1 z? 1/105 Three letters picked without replacement from {f: 1, p: 1, d: 11, z: 2}. What is prob of picking 2 f and 1 z? 0 Calculate prob of picking 1 t and 1 r when two letters picked without replacement from {t: 6, r: 2}. 3/7 Four letters picked without replacement from ummmmummuummum. Give prob of picking 4 m. 18/143 Calculate prob of picking 1 d and 1 c when two letters picked without replacement from csimd. 1/10 Two letters picked without replacement from rrrdssrsr. Give prob of picking 2 r. 5/18 Three letters picked without replacement from {o: 1, k: 1, c: 5, h: 3}. What is prob of picking 1 k, 1 o, and 1 c? 1/24 Calculate prob of picking 1 w and 1 e when two letters picked without replacement from wwgwggewwgwew. 7/39 Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zmzm. 2/3 Calculate prob of picking 1 n, 1 v, and 2 f when four letters picked without replacement from {d: 3, v: 2, f: 8, n: 4}. 8/85 Two letters picked without replacement from {b: 1, p: 11, r: 3}. Give prob of picking 2 r. 1/35 Two letters picked without replacement from mpppppm. Give prob of picking 1 p and 1 m. 10/21 Three letters picked without replacement from cgoxxmm. Give prob of picking 1 o, 1 g, and 1 m. 2/35 Three letters picked without replacement from ooxcqxpqcvcxq. What is prob of picking 2 o and 1 v? 1/286 What is prob of picking 1 y, 2 s, and 1 v when four letters picked without replacement from assjasavasayayaaasaa? 4/969 Calculate prob of picking 1 z, 1 h, and 1 y when three letters picked without replacement from {h: 2, y: 2, c: 1, z: 1}. 1/5 Three letters picked without replacement from {k: 2, l: 4, r: 4, d: 1}. Give prob of picking 1 l and 2 k. 4/165 Four letters picked without replacement from {b: 2, p: 8, n: 1, a: 9}. What is prob of picking 1 p, 1 n, and 2 b? 8/4845 Two letters picked without replacement from {a: 2, h: 1, d: 1, j: 1}. What is prob of picking 1 j and 1 a? 1/5 Three letters picked without replacement from {x: 1, o: 3, y: 5, n: 2, q: 1}. Give prob of picking 2 o and 1 x. 3/220 Calculate prob of picking 2 b when two letters picked without replacement from {i: 3, w: 5, b: 2}. 1/45 Calculate prob of picking 2 h and 1 y when three letters picked without replacement from yyyyyhh. 1/7 Two letters picked without replacement from oschtcohhhswsshs. Give prob of picking 1 h and 1 o. 1/12 Three letters picked without replacement from lkekllekkkkeke. Give prob of picking 1 e and 2 l. 3/91 What is prob of picking 2 j when two letters picked without replacement from juxdjkgugdjjkj? 10/91 What is prob of picking 3 h when three letters picked without replacement from tthhhthhhhhhhhtt? 33/112 Calculate prob of picking 1 b and 3 r when four letters picked without replacement from {r: 3, b: 16, x: 1}. 16/4845 Two letters picked without replacement from hyi. What is prob of picking 1 y and 1 i? 1/3 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from vcffvccf. 3/14 Calculate prob of picking 2 c and 1 j when three letters picked without replacement from cjjjjcjjjcccj. 40/143 What is prob of picking 1 t, 1 z, and 2 b when four letters picked without replacement from ztzozrbcrcrt? 0 Two letters picked without replacement from {y: 5, a: 5}. Give prob of picking 1 a and 1 y. 5/9 What is prob of picking 1 l, 1 j, and 2 c when four letters picked without replacement from {c: 2, a: 1, f: 1, j: 1, v: 1, l: 2}? 1/35 Two letters picked without replacement from {f: 4, z: 6}. Give prob of picking 2 f. 2/15 Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {d: 1, h: 1, o: 3, b: 1, x: 1}. 1/21 What is prob of picking 2 y when two letters picked without replacement from {y: 7, s: 7}? 3/13 What is prob of picking 4 w when four letters picked without replacement from ceweceew? 0 Two letters picked without replacement from mpddpmdppqmmmqmpm. Give prob of picking 1 m and 1 p. 35/136 What is prob of picking 3 g when three letters picked without replacement from ggggggygygggyygggyg? 364/969 Calculate prob of picking 3 t when three letters picked without replacement from wwtttttwwwttttttttpt. 91/285 Two letters picked without replacement from {a: 9, i: 1, x: 1, o: 4, q: 3}. Give prob of picking 2 a. 4/17 Calculate prob of picking 1 e and 3 n when four letters picked without replacement from {e: 1, i: 2, n: 3, g: 1, t: 3, z: 1}. 1/330 What is prob of picking 1 k and 1 w when two letters picked without replacement from kkkkkkkfkkkkkkkkkkwk? 9/95 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from foroizozziozzxzzr. 1/68 Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {a: 2, d: 1, h: 4, i: 7}. 3/182 Three letters picked without replacement from {j: 1, l: 4, t: 2}. What is prob of picking 1 l and 2 t? 4/35 Calculate prob of picking 2 s when two letters picked without replacement from {s: 7}. 1 Four letters picked without replacement from {e: 2, n: 1, j: 2, g: 1, t: 6}. What is prob of picking 1 j, 2 t, and 1 g? 2/33 What is prob of picking 3 p when three letters picked without replacement from aahohpphauuhnhuhpa? 1/816 Two letters picked without replacement from {e: 1, z: 4, b: 2, k: 2, g: 1}. Give prob of picking 1 b and 1 g. 2/45 Two letters picked without replacement from {f: 2, m: 4}. Give prob of picking 2 m. 2/5 What is prob of picking 1 z and 1 e when two letters picked without replacement from ujuujezjkjjzj? 1/39 What is prob of picking 1 n and 2 e when three letters picked without replacement from {e: 1, n: 12}? 0 What is prob of picking 2 a when two letters picked without replacement from aaqqqqaqaa? 2/9 Two letters picked without replacement from wwzwwzwwzzw. Give prob of picking 1 z and 1 w. 28/55 What is prob of picking 2 z and 1 r when three letters picked without replacement from zzzzzbrurzzu? 21/110 Three letters picked without replacement from {h: 3, a: 1}. What is prob of picking 3 h? 1/4 Three letters picked without replacement from {j: 1, m: 3, s: 3, i: 4, c: 4, t: 2}. What is prob of picking 2 m and 1 s? 9/680 Two letters picked without replacement from {h: 1, s: 2, c: 3, t: 6, z: 2, i: 1}. What is prob of picking 1 i and 1 s? 2/105 Calculate prob of picking 1 s, 1 b, and 1 z when three letters picked without replacement from nsbsssbsz. 5/42 What is prob of picking 2 w when two letters picked without replacement from wwwww? 1 Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tddddt. 8/15 Four letters picked without replacement from aqaaaaiqqaiqaaqaaii. What is prob of picking 1 i and 3 a? 40/323 Two letters picked without replacement from {m: 1, e: 2, j: 4, o: 2, q: 1, h: 2}. What is prob of picking 1 m and 1 h? 1/33 Three letters picked without replacement from eucccuc. What is prob of picking 2 u and 1 e? 1/35 Calculate prob of picking 2 w when two letters picked without replacement from kwmmrwm. 1/21 Three letters picked without replacement from ssssssszzsszsz. Give prob of picking 1 z and 2 s. 45/91 What is prob of picking 2 m and 2 z when four letters picked without replacement from {d: 1, g: 1, m: 2, c: 2, z: 2, n: 1}? 1/126 What is prob of picking 1 a and 1 b when two letters picked without replacement from kblbovao? 1/14 Two letters picked without replacement from eeeweeewewee. What is prob of picking 2 e? 6/11 Three letters picked without replacement from gggggggxggggggxxgggg. Give prob of picking 2 x and 1 g. 17/380 Calculate prob of picking 2 f when two letters picked without replacement from {p: 3, j: 15, f: 2}. 1/190 What is prob of picking 1 e, 1 b, and 2 d when four letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
2 Suppose 3*t - 9 = 3. Suppose t*i - 3 - 5 = 0. What is the second derivative of -w + 7*w**4 - 4*w**4 - i*w wrt w? 36*w**2 Let g(a) be the third derivative of a**6/20 - a**4/4 + 4*a**2. What is the second derivative of g(l) wrt l? 36*l Let b(r) be the first derivative of -3/5*r**5 + 0*r**4 + 10 - 3*r + 0*r**3 + 0*r**2. Differentiate b(w) wrt w. -12*w**3 Let h(i) = 24*i + 36. Let y(j) = 5*j + 7. Let v(p) = 4*h(p) - 22*y(p). What is the derivative of v(l) wrt l? -14 Let z(k) be the second derivative of 29*k**4/12 - 23*k**3/6 + 36*k. Find the second derivative of z(y) wrt y. 58 Let l(p) = -p + 1. Let f(g) = 3*g - 12. Let h(v) = -f(v) - 4*l(v). Let c(s) = 2*s + 17. Let y(r) = 6*c(r) - 13*h(r). Find the first derivative of y(u) wrt u. -1 Let z(l) be the third derivative of -1/40*l**5 + 0 - 1/12*l**4 - 2*l**2 + 0*l - 1/6*l**3. Let g(n) be the first derivative of z(n). Differentiate g(j) wrt j. -3 What is the third derivative of 91 - 34*f**2 - 47 + 14*f**3 - 44 - 2*f wrt f? 84 Let r be (-1)/(-3) + 5/3. Differentiate -6*y - y**r + 1 + 6*y + 1 wrt y. -2*y Let t(g) be the third derivative of 0 - 1/10*g**5 + 4*g**2 + 0*g**3 + 0*g**4 + 7/120*g**6 + 0*g. Find the third derivative of t(l) wrt l. 42 Let a(n) = -n**3 - n**2 - 2*n - 3. Let k be a(-2). Find the third derivative of i**6 + 58*i**4 - 58*i**4 + k*i**2 wrt i. 120*i**3 Find the first derivative of -2 - 1 + 2 - 9 - 4*v**3 wrt v. -12*v**2 Find the second derivative of 4*g**4 + 4*g - 57*g**2 + 57*g**2 wrt g. 48*g**2 Let t(r) = 10*r**3 - 29. Let i(g) = -9*g**3 + 28. Let y(w) = -7*i(w) - 6*t(w). Find the first derivative of y(z) wrt z. 9*z**2 Suppose -b = 4*b + 65. Let w(u) = 3*u**2 + 6*u - 4. Let c(r) = 7*r**2 + 13*r - 9. Let x(t) = b*w(t) + 6*c(t). What is the first derivative of x(a) wrt a? 6*a Let r(b) be the first derivative of 5*b**7/7 + b**3 - 6. Find the third derivative of r(j) wrt j. 600*j**3 Suppose -q = -5*n + 2*q + 38, -4*q = 5*n - 31. Let x(d) = d**2 - 6*d - 2. Let f be x(n). What is the derivative of -f - i - 3 + 4 wrt i? -1 Let s(i) be the first derivative of 3*i**2/2 - 2*i - 7. Differentiate s(r) wrt r. 3 Let g = 6 + -2. What is the second derivative of 0*t**g + 2*t + 2*t**4 - 4*t wrt t? 24*t**2 Let r(f) = -15*f**2 - 8*f - 6. Let q(o) = -14*o**2 - 7*o - 5. Let t(y) = 6*q(y) - 5*r(y). What is the second derivative of t(z) wrt z? -18 Let x(m) be the first derivative of -m**4/4 + 3*m**2 - 4. What is the second derivative of x(n) wrt n? -6*n What is the third derivative of -5*u**5 + 8*u**2 + 18*u**5 - 6*u**2 + 8*u**2 wrt u? 780*u**2 Let x(c) be the second derivative of 0*c**2 + 0*c**4 + 0 + 1/6*c**3 + 3/20*c**5 + 3*c. What is the second derivative of x(p) wrt p? 18*p Let h(a) be the third derivative of a**6/10 + a**5/4 + 17*a**2. What is the third derivative of h(q) wrt q? 72 Let l(v) be the third derivative of 2*v**6/5 - v**4/24 + 17*v**3/3 - 63*v**2. Find the second derivative of l(a) wrt a. 288*a Let f(k) be the first derivative of -16*k**3/3 + k**2/2 - 17. What is the second derivative of f(z) wrt z? -32 Let v(d) be the third derivative of 0 + 0*d + 0*d**4 - 5*d**2 - 1/2*d**3 + 1/24*d**6 + 0*d**5. Differentiate v(p) wrt p. 15*p**2 Let l(w) be the second derivative of w**5/2 + 4*w**3/3 - 8*w. What is the second derivative of l(s) wrt s? 60*s Find the first derivative of 6 - 16 - 19 + 4*v - v wrt v. 3 Find the second derivative of -17*y**4 + 9*y + 36*y - 4*y wrt y. -204*y**2 Let n(y) be the third derivative of -y**7/120 + y**6/45 + 4*y**3/3 - 8*y**2. Let q(d) be the first derivative of n(d). Find the third derivative of q(s) wrt s. -42 Let l = -2 + 5. Suppose 0 = -4*h + l*h. Find the third derivative of m**2 - 2*m**6 + m**6 + h*m**2 - 2*m**6 wrt m. -360*m**3 Differentiate -7*d**3 + 7*d**3 - 2*d**4 + 5 with respect to d. -8*d**3 Let s(d) = -d - 4. Let u = 3 - 10. Let q be s(u). Differentiate -3 - r**q + 3*r**3 + 2 with respect to r. 6*r**2 Let z(n) be the second derivative of n**3 + 11*n**2/2 - 5*n. Differentiate z(y) wrt y. 6 Let y be (-14)/35 - (-34)/10. Find the second derivative of -3*n**3 + 0*n**3 + 3*n**y + 3*n**4 - 4*n wrt n. 36*n**2 Let n(j) be the third derivative of 5*j**6/24 - 23*j**4/24 - 29*j**2 - 2. Find the second derivative of n(k) wrt k. 150*k Let q(m) = -4*m - 3. Let v(o) = 3*o + 2. Let j(h) = 4*q(h) + 6*v(h). Let l be j(1). Find the second derivative of 7*y**2 - y - 7*y**l + 3*y**3 wrt y. 18*y Suppose 5*p = -k + 7 + 5, 2*p = -k + 3. What is the third derivative of -6*q**6 - q**6 + p*q**2 + 6*q**2 - q**6 wrt q? -960*q**3 Let o(l) be the second derivative of -l**9/1008 + l**6/60 - 3*l**3/2 + 9*l. Let p(n) be the second derivative of o(n). Find the third derivative of p(w) wrt w. -180*w**2 Suppose 2*u - 4*n - 18 = -8, 5*n = -2*u - 26. Let g be 9*(-1 - 4/u). What is the third derivative of g*l**3 - 4*l**3 - l**3 + l**2 wrt l? -12 Let r = 2 - 0. Find the second derivative of -r - 5 - 2*q**2 + 7 + 3*q wrt q. -4 Let w(p) be the second derivative of -p**7/840 + p**5/40 + p**3/3 - 3*p. Let u(l) be the second derivative of w(l). What is the second derivative of u(m) wrt m? -6*m Suppose 3*b - 19 = -2*m, -2*m - 10 = -4*b + 6. Find the third derivative of 2*c + 4*c**m - c + 7*c**4 - c wrt c. 168*c Let c = -11 - -19. What is the derivative of 0 - c*q**2 + 2 - 3 wrt q? -16*q Suppose -20 = -8*b + 4*b. Let w(g) = -4*g**2 + 5*g + 3. Let o(c) = -c - 1. Let q(t) = b*o(t) + w(t). What is the derivative of q(d) wrt d? -8*d Let p(d) = d + 1. Let s be (4 - 3)*(0 + -1). Let t(m) = -2*m + 3. Let f(b) = s*p(b) + t(b). Find the first derivative of f(w) wrt w. -3 Let s(v) = 10*v**4 - 27. Let q(p) = -99*p**4 + 270. Let l(n) = 2*q(n) + 21*s(n). Differentiate l(r) with respect to r. 48*r**3 Let j(k) be the second derivative of 0*k**2 - 2*k + 0*k**4 + 7/6*k**3 + 0*k**5 + 1/15*k**6 + 0. What is the second derivative of j(w) wrt w? 24*w**2 Let l(i) be the second derivative of 13*i**5/20 - 7*i**4/6 + i. What is the third derivative of l(p) wrt p? 78 Let b(u) be the first derivative of 4*u**2 - 20*u - 4. Differentiate b(z) with respect to z. 8 Let d(m) be the second derivative of -m**7/1260 + m**5/40 - 5*m**4/12 + m. Let b(r) be the third derivative of d(r). What is the first derivative of b(u) wrt u? -4*u Let q(c) be the second derivative of 0*c**5 + 0*c**6 + 0 - 1/3*c**3 + 0*c**4 - 1/14*c**7 - 2*c + 0*c**2. What is the second derivative of q(d) wrt d? -60*d**3 Let z(y) be the first derivative of 11*y**3/3 + 13*y**2/2 - 13. Find the second derivative of z(q) wrt q. 22 Let g(w) = w - 1. Let p be g(-3). Let v = 4 + p. Find the second derivative of v*t + t + 0*t**2 + t**2 wrt t. 2 Suppose -5*x - 20 = -x. Let s = 7 + x. Find the third derivative of -3*g**2 - s*g**6 + 2*g**2 + 4*g**6 wrt g. 240*g**3 Let y(a) be the third derivative of -3*a**7/35 + 29*a**3/6 + 24*a**2. Find the first derivative of y(m) wrt m. -72*m**3 Let o(a) = 7*a**4 + 5*a**2 + 24. Let d(k) = -3*k**4 - 3*k**2 - 12. Let i(m) = 5*d(m) + 3*o(m). What is the first derivative of i(b) wrt b? 24*b**3 Let d(q) be the second derivative of q**6/180 + q**4/8 + q**3/2 + q. Let l(f) be the second derivative of d(f). What is the first derivative of l(x) wrt x? 4*x Let v(f) be the second derivative of -f**6/15 - f**4/6 + 9*f. Find the third derivative of v(k) wrt k. -48*k What is the second derivative of 7 - 9*d + 1 - 4*d**2 - 8 wrt d? -8 What is the third derivative of -1051 + 9*z**6 + 0*z**4 + 13*z**2 + 1053 + 5*z**4 wrt z? 1080*z**3 + 120*z Let o(w) be the first derivative of -3*w**6/2 - 3*w**2 + 5. What is the second derivative of o(s) wrt s? -180*s**3 Let g(u) be the second derivative of -17*u**5/10 + 9*u**4/4 - 3*u. Find the third derivative of g(y) wrt y. -204 Let z = 5 - 2. What is the second derivative of -4*w**3 + w**3 + w + 0*w**z + w**3 wrt w? -12*w Suppose -y = 2*o - 2*y - 6, -2*o + 5*y + 6 = 0. Suppose o - 17 = 3*d - 5*u, u - 12 = -4*d. What is the first derivative of -d*x**3 + 1 - 4*x + 4*x wrt x? -6*x**2 Let f = 11 + -19. Let m = 11 + f. What is the second derivative of -3*j - 2*j**m + 2*j**3 + j + j**3 wrt j? 6*j Let t(z) = -5*z - 2. Let m be t(-1). Let l(d) be the first derivative of -d - 1 + 1/3*d**m + 0*d**2. What is the derivative of l(w) wrt w? 2*w Let y = 3 + -1. Find the third derivative of 15*v**3 + v**2 - 19*v**3 - 4*v**y wrt v.
{ "pile_set_name": "DM Mathematics" }
Solve m = z*m - 8 for m. 2 Let r be 3/6 + 15/2. Let w be (2 - 4) + 6*1. Suppose -5*f + 9 = 3*h, -4*h + 2*h = -f - 6. Solve f*y = -w*y - r for y. -2 Suppose 60 = 3*d - 3*q, -5*d + 48 = 3*q - 36. Solve 0 = d*t - 21*t - 9 for t. -3 Suppose 24 = 6*r + 18*r. Solve -r = 8*x + 7 for x. -1 Let x = -532 + 536. Solve -4*j - x = 4 for j. -2 Suppose -32 = 103*o - 119*o. Let z(q) = -q**3 + 4*q**2 - q - 4. Let t be z(3). Suppose 0 = 5*x - 5*p + 5, t*x - 4*x + 3*p = 7. Solve -o*v = -6*v - x for v. -1 Let j = -82 - -84. Suppose 23 = 7*n + j. Solve n*p - 9 = 6*p for p. -3 Let d(o) = 0 - 3*o + 2*o + o**3 + 1. Let g be d(1). Let u be (-6 - (-1 + g))*-1. Solve -u = 3*n - 0*n for n. -2 Let u = 12 + -14. Let g be (9 - 12)*u/6. Let f = g + 1. Solve 5 = -f*d - 1 for d. -3 Let o(g) = -28*g + 257. Let y be o(9). Solve -y*v + 0 = 5 for v. -1 Suppose x + 3 + 1 = p, 5*p + 4*x - 11 = 0. Let n(w) = 3*w - 60. Let m be n(21). Let u be m + -2 + 2 - -2. Solve 2*d - u = -p*d for d. 1 Suppose 5*c - 4*k - k + 25 = 0, 3*k + 27 = -4*c. Let j = c + 8. Suppose -j - 13 = -5*w. Solve w*s - 25 = 8*s for s. -5 Let w = 11 - 5. Let a be (((-70)/(-21))/(-1))/(2/(-6)). Suppose -w*f + f = -a. Solve y + y = -f for y. -1 Let t = -457 - -573. Solve k + t = 118 for k. 2 Suppose n = -n - 4*b + 26, -2*b = 2*n - 16. Suppose -2*u + u + 2*m - 8 = 0, n = 4*u - m. Solve 3*i = u*i - 4 for i. -4 Let s be 4/3*1*42. Let l = -34 + s. Let x = l - 20. Solve 15 = 3*v + x*v for v. 3 Let f be 1/(-2)*(-10 + 18). Let x(o) = -o**3 - 5*o**2 - 6*o - 5. Let h be x(f). Suppose 3*y = 4*v + 7 - 2, -5*y + 11 = -4*v. Solve -2*l = y + h for l. -3 Let n = 6593 - 6581. Let l(x) = x**2 + x. Let u be l(-2). Solve -2*p = u*p + n for p. -3 Let n(d) = -d + 1. Let t(y) be the third derivative of y**4/12 - y**2. Let c(j) = 4*n(j) + 3*t(j). Let p be c(3). Solve 2*u = -3*u + p for u. 2 Suppose 4*u + 22*u = 52. Solve 5 = u*w + 15 for w. -5 Let o be 1 - 4 - 190/(-38). Solve 0 = 3*f - o - 13 for f. 5 Let c(x) = -2*x + 6. Let d be c(15). Let w = d - -22. Let k be 24 + 8*w/4. Solve 4*g - k = -0*g for g. 5 Let t(m) be the third derivative of m**4/6 - 3*m**2. Suppose 0 = 3*d + 4*x + 5, d + 2*d + 7 = -5*x. Let v be t(d). Solve -3*h - v = -h for h. -2 Suppose -4*w + 2*h + 18 = -0*w, h = 3*w - 11. Suppose 17 = w*p + 3. Solve 4*u - p = -23 for u. -4 Suppose 6 = 2*i - 0*i. Suppose j - 4 = -3*q, -4*j - 36 = -q - 13. Let h be -2 + q/i - -5. Solve 1 = -h*f + 13 for f. 3 Let y = -29 - -31. Solve -2 = y*n - 0*n for n. -1 Let d be (3 + 1 + -2)*-2. Let s(u) = -3*u - 8. Let r be s(d). Solve -w + r = w for w. 2 Let l = -7 + 7. Let t(r) = 4*r + 18. Let b be t(-4). Solve l = -c - b*c + 9 for c. 3 Let t = -21 - -21. Suppose -3*y + 13 + 23 = t. Solve -2*a - y = a for a. -4 Suppose 0 = 4*u - 6*u + 8. Let h be ((-10)/u)/(-2*(-6)/(-96)). Solve h = -i + 5*i for i. 5 Suppose -5*w = -5*j - 90, -3*w + 60 = w - j. Let l be 7/w + (-6)/(-4). Let f be 1/l - 6/(-12). Solve 0 = -t + 1 + f for t. 2 Let s = -760 + 775. Solve -8*j = -3*j - s for j. 3 Let o(h) be the first derivative of 0*h**2 + 0*h - 2 + 5/3*h**3. Let n be o(1). Solve -4*i + 7 = -n for i. 3 Suppose s = 4*p - 14, p - 6 = 4*s + 5. Let x be (-74)/8 + p/12. Let v be x/(-15) + (-8)/(-20). Solve 0 = -2*r - 1 - v for r. -1 Suppose 5*f = -3*a + 47, -2*f + 14 = -8*a + 9*a. Solve a - 10 = -7*n for n. -2 Suppose 6*h = -2*h + 40. Let x(b) = b**2 + 8*b - 10. Suppose -3*q - 14 = 4*u, -2*q - 4 = 2*u + 2*u. Let s be x(q). Solve -3*t + s = -h*t for t. -5 Let o(r) = -2*r**3 + 2*r**2 - r + 4. Let j be o(0). Let y be 2 + (0 - 2) - -3. Solve 2*m = y*m - j for m. 4 Let t = 928 + -924. Solve 56 - 36 = t*k for k. 5 Suppose -g - 2*i + 3*i + 67 = 0, 77 = g + 4*i. Solve -g*z - 12 = -66*z for z. -4 Let o = -149 - -89. Let w = 28 + o. Let h be (w/(-24))/(1/3). Solve -h = 4*u - 6*u for u. 2 Suppose -24 - 8 = -16*o. Solve h = -o*h - 15 for h. -5 Suppose 0 = -4*t + 3*t - 1. Let u = 6 - t. Solve u = 2*m - 3 for m. 5 Let a(y) = y**3 + y**2 - 3*y - 2. Suppose -2*z - 2 + 14 = 0. Suppose -2*t + z*t = -8. Let q be a(t). Solve 3*l - 4 - 2 = q for l. 2 Let s be (4 - -3)/7 - (0 - -1). Suppose s = 2*m - m - 2. Solve m*y - 3*y = 0 for y. 0 Let i be (15/6 + 1)*2. Solve 0*y = -i*y + 3*y for y. 0 Let u be 20/(-8)*(-24)/10. Let t be (u/4)/(6/(-32)). Let y = 11 + t. Solve -y*k = -5*k for k. 0 Suppose 9 + 41 = -a. Let w = a + 56. Solve -r = -w*r + 20 for r. 4 Suppose -17*t + 2*t + 45 = 0. Solve t*o = -2*o - o for o. 0 Suppose 0*x + 2*x = 16. Solve -x*f + 5*f + 6 = 0 for f. 2 Suppose 2*x + 8 = 2*h, x - 3*x + 7 = 3*h. Let b be (h/2)/(18/60). Solve -8 = -v + b*v for v. -2 Let c = 3 - -1. Let l = -76 + 86. Solve 10 = c*g - l for g. 5 Suppose -20 = -4*y + 4*c, 0*y - 2*y - 5*c - 11 = 0. Suppose -3*j - 7 + y = -2*p, 3*p - 9 = 3*j. Let m = -126 - -127. Solve -p*v = -m - 19 for v. 5 Suppose 0*f - 4 = -2*f - 4*j, -5*f - 26 = -2*j. Let y(k) = k**2 + 4*k - 8. Let d be y(-6). Let s be (f/d - -2) + 0. Solve -3*r = -4 + s for r. 1 Suppose -d + 3*s + 11 = 0, -5*d - s = -3*s - 29. Solve 46*i = 45*i + d for i. 5 Suppose 4*q - 17 = -r, 2*q + q + 1 = 2*r. Suppose -41*j + 16*j = -50. Solve -d - j*d = q for d. -1 Let z = -84 + 87. Suppose -z*d = -2*c + 15, -2*c - 3*d = -4*d - 13. Suppose h = 5*s - 16, 10 - 30 = -5*s + 5*h. Solve -6 = s*o + c for o. -4 Let s(q) = -15*q**3 - 2*q**2 - 2*q. Let m be s(-1). Let z(f) = -f**3 - 3*f**2 - 3*f - 2. Let j be z(-2). Suppose -2*v - 6 = -16. Solve m = -j*u - v*u for u. -3 Let l(q) = -2*q**3 - 7*q**2 + 2*q - 2. Let w(d) = d - 2. Let t be w(-5). Let r be (-2)/t - 270/63. Let u be l(r). Solve -k - k = -u for k. 3 Suppose 3*o + 2 = i, 2*o + 0*o + 20 = -4*i. Let q be i/18 - (-4)/18. Suppose 0 = -5*v - q*v. Solve t - 2*t = v for t. 0 Suppose 51 = 3*f - 2*a + 23, 5*f = -2*a + 68. Solve -6*i = -2*i + f for i. -3 Suppose 4 = 45*c - 86. Solve 4*u = -c*u for u. 0 Let n = 20 - -1. Let g(s) = 4*s - 9. Let u be g(8). Let r = u - n. Solve 2*o = -0 - r for o. -1 Suppose 2*g - g - f = -1, -f = 5*g + 5. Let j be 0/(g - (-7 + 1)). Solve -2*a + 7*a - 15 = j for a. 3 Let d(h) = 21*h - 3. Let b(t) = -41*t + 5. Let w(o) = -4*b(o) - 7*d(o). Let q be w(1). Let k = q - 15. Solve c = -k*c for c. 0 Suppose 9*p - 5*p = 8. Suppose -5*h + 5 = 10, 0 = -p*w - 5*h - 1. Solve 6 = -2*t - w for t. -4 Suppose -2*q + 34 = 324*m - 319*m, -5*m = 0. Solve -68 = -q*o + 17 for o. 5 Let q = -13 + 17. Suppose 0 = 9*k - 8*k - 17. Suppose -q*j = 3*c - k, -4*c - 1 = -4*j - 5. Solve 2*t = -c*t - 15 for t. -3 Suppose a + 14 = 3*u, -u = u - a - 9. Solve -u = l - 3 for l. -2 Let j be (-8)/(-64) + 312/64. Suppose -4*w - 2 = 2*y - 10, -2*w - 5*y = -12. Let m be -2 + (-6)/(-2) - w. Solve m*a - j*a = 0 for a. 0 Suppose m = -2*q + 5*q + 14, 6 = 4*m - 2*q. Let t be m - (-6 - -2 - 0). Let k be 40*-1*(-9)/18. Solve -2*h = t*h + k for h. -4 Let z(t) = 2*t + 5. Let c be z(-4). Let x be c/(6/8) + 8. Suppose -2*s + 3*f = -6*s, 5*s + x*f = 0. Solve -4*q + s*q = 0 for q. 0 Let p(d) = 1 + 10 - 4 + d. Let t be p(-8). Let g(r) = 8*r**2 + r. Let c be g(t). Solve 2*s + 3 = -c for s. -5 Let j(u) = -u**2 + 6*u - 2. Let f be 248/88 + (-2)/(-11). Let s = f - -1. Let d be j(s). Solve d = -3*q + q for q. -3 Suppose -c = -27 + 15. Let x be 8/c + 4/(-6). Solve x = -0*l + l for l. 0 Suppose 0 = 5*m - 5*r - 40, -3*m - 3*r + 7*r = -29. Suppose 0 = -m*g - 22 + 100. Let o = g + -24. Solve -o*b = -b for b. 0 Let r(m) = -2*m**3 - 7*m**2 + 6*m + 2. Let h be r(-6). Let z = 158 - h. Solve z*a - 13*a = -5 for a. 5 Let x(v) = -v**2 + 20*v + 5. Let j be x(20). Let p(q) = q**3 + 5*q**2 - 5*q + 6. Let g be p(-6). Suppose 2*l - 18 - 2 = g. Solve 0*t + l = j*t for t. 2 Suppose -5*q - 3*j = -12, -46*q = -42*q - 3*j - 15. Suppose -2*r - 5*y - 35 = -7, 5*r + 5*y + 55 = 0. Let u = r - -13. Solve -z + q*z = u for z. 2 Suppose 0 = -2*q - 4*u + 10, -6 = -3*q - 5*u + 7. Solve 3*n + q + 5 = 0 for n. -2 Let a be (-2395)/(-20) - (-2)/8. Let w = a + -120. Solve 4*q = -w*q + 4 for q. 1 Suppose -h + 2*t - 7*t = -20, 4*t + 8 = 4*h. Solve m = h*m + 4 for m. -1 Let a = -15 - -34. Let l = -19 + a. Solve l = z + 4 - 3 for z. -1 Suppose -t = -0*a - 2*a + 6, -5*a = -5*t - 10. Solve 1 = -r + a for r. 3 Let z(c) = -c**3 - c**2 + 9*c + 18. Let j be z(-4). Solve -24*o = -j*o + 12 for o. 2 Let m(n) = n - 18. Let j be m(13). Let w(t) = -t**2 - 7*t + 6. Let o b
{ "pile_set_name": "DM Mathematics" }
924 + -0.029783151. -8924.029783151 Work out -16196139 - -1993771. -14202368 Calculate -4.7775232856 + 0.2852. -4.4923232856 What is 65.6904601713 plus 3? 68.6904601713 Sum -77934.077 and -229.9. -78163.977 What is the distance between 5385809975 and 1.7197? 5385809973.2803 What is -1806907469 minus 3987? -1806911456 Work out 3.336250405 - -0.037. 3.373250405 Work out -0.6 - -2383282032693. 2383282032692.4 Put together -2153 and -531052.17197. -533205.17197 What is -14180349756 minus 0.3567? -14180349756.3567 What is 71012 + -991341.47? -920329.47 126421463+-170.96 126421292.04 Add 81053.8 and 113776. 194829.8 Work out -120 + 1015440800. 1015440680 Put together -292910018146 and 3.3. -292910018142.7 -12176+15944918772 15944906596 -3321388874974 + 84 -3321388874890 Put together -165478749 and 7514. -165471235 Sum 0.05229 and -1443330080. -1443330079.94771 What is -0.017274995835 minus 0.0345? -0.051774995835 What is -311467675.47 + -407? -311468082.47 Subtract 133 from 3314557103. 3314556970 Calculate 119840.92536 + 9. 119849.92536 What is -11.528 - -49757924? 49757912.472 Add together 158794778 and -13.256. 158794764.744 What is the difference between -51.7121 and 11.63067? 63.34277 Calculate 49818.5 - 2056874. -2007055.5 What is 1319.09 - 112535605? -112534285.91 Work out 135.73 - -89590198. 89590333.73 Put together 0.168 and -371563061.38. -371563061.212 Calculate -36246.3352 - -5902. -30344.3352 What is 127.4548278 plus -1576? -1448.5451722 Work out 4 - -221058.4580449. 221062.4580449 Total of -4628752161.7 and -246. -4628752407.7 -4621299275 + -7 -4621299282 What is 5.3367 minus -186824404? 186824409.3367 What is 5.2093703383 + 0.01? 5.2193703383 Total of 73 and 69409.3984109. 69482.3984109 Calculate -39111719 + -144.96. -39111863.96 -5839 - 157.831785 -5996.831785 Work out -460717461.4637 + 0.4. -460717461.0637 Put together 18767.0303 and 392092. 410859.0303 Sum 0.03 and 73318019574. 73318019574.03 What is 4 minus -305729952440? 305729952444 Calculate -33907.07 - 3388. -37295.07 What is the difference between -6027426939893 and -0.116? 6027426939892.884 What is the difference between 18.72788 and -1723258.81? 1723277.53788 Add together 140.14566813 and -28. 112.14566813 What is the difference between -2623 and -93681165? 93678542 Calculate 109103.787801 - 7. 109096.787801 What is 78171863506119 less than 2? -78171863506117 Calculate 27700 + 348384533. 348412233 Put together -1186989853.764 and 5. -1186989848.764 Calculate -88989182.4 + -0.5. -88989182.9 Work out -9740746.856 + -3.1. -9740749.956 Work out 181047.03565 - -3. 181050.03565 Put together -8.176 and 275.32866094. 267.15266094 What is -20854 less than -1717797466? -1717776612 What is the distance between -5310912 and -451115? 4859797 Calculate 70919066 + 4471679. 75390745 Subtract 20.42 from -39.140226399. -59.560226399 Sum -0.254862440795 and 0.5. 0.245137559205 What is -61 - -74245501.98? 74245440.98 Sum 0.17 and -4.429328207. -4.259328207 Work out -16144202 + -756309.1. -16900511.1 Calculate -23 + -11728706216. -11728706239 What is 1670 take away 37309540? -37307870 What is 5105411636 take away -2.6? 5105411638.6 What is -150667 + 6017944? 5867277 What is the difference between -5489153177 and -12? 5489153165 Calculate 0.4 + -22576352496. -22576352495.6 Sum -1.5 and -11.3292432084783. -12.8292432084783 Calculate -264.03 + -249756504. -249756768.03 What is -58 take away -17.6935272614? -40.3064727386 Put together -0.09 and 1499076990983. 1499076990982.91 Calculate -5 - -96190995752. 96190995747 What is 338.2030989 take away -421939? 422277.2030989 Add -7351 and 1023.9975. -6327.0025 Add 0.094 and 178226978034. 178226978034.094 What is -2.455 minus -495820054? 495820051.545 What is 6550.4 + -237399.9? -230849.5 What is 2394 + -11695.513? -9301.513 Put together -3362 and -413119912. -413123274 Work out -50330837 + 6213. -50324624 What is -199.8476822 - 18795? -18994.8476822 Calculate -1886868459353 - -5. -1886868459348 What is -13295.754967 take away 0.018? -13295.772967 -3.31495 + -33177 -33180.31495 -17710553034522 + 0 -17710553034522 Subtract 151901724.02 from 1. -151901723.02 Put together -115099 and 1091327.996. 976228.996 What is 373652 plus -4.4792? 373647.5208 Subtract 13760509938 from -73.96. -13760510011.96 -255858730 - 1.542 -255858731.542 Add 24355443459 and 98. 24355443557 What is 291894 take away -102834137? 103126031 Put together 2.2 and 2166233219.6233. 2166233221.8233 Sum 0.052259592097835 and 10. 10.052259592097835 Work out 707015904 - 3.81. 707015900.19 What is 6.7 - 10530995422189? -10530995422182.3 Work out 0.1 - -39999992120. 39999992120.1 Work out 266763 + -96.79006. 266666.20994 -104 + -187707000134 -187707000238 What is the distance between 0.037 and 34679574? 34679573.963 Add together 59085467176 and -0.5. 59085467175.5 What is the difference between 2027707535604.72 and 4? 2027707535600.72 Subtract -0.1348 from 690221261. 690221261.1348 Add -0.4 and 250235255.5451. 250235255.1451 What is -8 plus 20518768.72? 20518760.72 What is -3.7 plus 553127.1776889? 553123.4776889 -34976.960239+0.06722 -34976.893019 Calculate -4 - 3985244746.2. -3985244750.2 Total of -1337414331 and -30.37. -1337414361.37 What is the distance between 11 and -422.02952999? 433.02952999 -45+1.06689293689 -43.93310706311 What is the difference between -17 and -97988142307? 97988142290 Work out 202809081 + -2867. 202806214 -35995557 + -1892 -35997449 What is 0.1 plus 5940335198580? 5940335198580.1 Work out -1052674552.9852 - -0.04. -1052674552.9452 What is -476779 + -2889.979? -479668.979 Total of -22111.32 and 5489.57. -16621.75 Work out 0.482285 - 9.5687. -9.086415 -6029532457 + 0.2 -6029532456.8 What is 1.2 plus -41286317396125? -41286317396123.8 Subtract 2.31801267215942 from -3. -5.31801267215942 Put together 155172419643432 and -0.4. 155172419643431.6 What is 0.029 - 3542463825? -3542463824.971 Work out 1390050 + -64436944. -63046894 What is -60.9 + 64318157322? 64318157261.1 Work out -3.5 - 822544843317. -822544843320.5 What is 18771.10381016 + -0.2? 18770.90381016 What is 62 - 278338691183? -278338691121 Work out 1196.688066 - -7329.7. 8526.388066 What is -5 less than 352917685.41? 352917690.41 Add -52132 and -1.72763476. -52133.72763476 Add together -34 and 1398288038189. 1398288038155 What is 28774902069 - -1.9? 28774902070.9 -31734302 + 0.2488 -31734301.7512 What is -14.855 less than -1220747.8? -1220732.945 Calculate 86 - -53221479475. 53221479561 What is -0.089 take away -0.1976390491? 0.1086390491 Subtract 0.211 from 0.11522601201. -0.09577398799 23626.1 - 2735663.42 -2712037.32 Work out -5246060465 + 29.665. -5246060435.335 Add together 2058407487356 and -244. 2058407487112 Put together -17979106.869 and -45921. -18025027.869 What is -0.0410893309046 plus -2? -2.0410893309046 Total of -2614705.40528 and 100. -2614605.40528 Calculate 38.3854 + 22.783009. 61.168409 Work out -19 + 10101748250639. 10101748250620 Calculate -146352471331 - 0.1. -146352471331.1 What is the distance between 367674377911 and 1? 367674377910 Work out -873.79166049 - -4. -869.79166049 Work out 6630376775 + 0.036601. 6630376775.036601 Subtract 0.0357 from 13980893706. 13980893705.9643 What is -1873 less than -2901.87293848? -1028.87293848 Put together -2 and -39296040094.58. -39296040096.58 -32.14772+0.4227852 -31.7249348 Calculate -440370368125 - 0. -440370368125 What is 0.78 minus -8819108.78? 8819109.56 -10348196 - -4.1194634 -10348191.8805366 What is 114.42 + 1985.67862? 2100.09862 What is -36.1771 minus -103141? 103104.8229 What is 10.419258583 take away -0.9856? 11.404858583 Work out 26612768782 - 0.313. 26612768781.687 Total of -6 and 7228768381418. 7228768381412 Calculate -4 - 100692160065. -100692160069 Add -11017606703 and -9.7. -11017606712.7 What is the difference between -0.194 and -28184850? 28184849.806 -52+-15479974772 -15479974824 Calculate -22958885 - -176280. -22782605 Add together 40 and 1861568234329. 1861568234369 What is 5621.249 plus 45160? 50781.249 What is 345 + -71.46512276? 273.53487724 -2841.3 + 0.06991715 -2841.23008285 Total of 1056958.7 and 25364. 1082322.7 What is 264061276402958 plus 2? 264061276402960 Calculate 0.04931071 + -22742258. -22742257.95068929 What is
{ "pile_set_name": "DM Mathematics" }
4, f + 7 = v*n. Solve 2*i = i - n for i. -2 Suppose n - 3*w = 0, -3*w + 4*w - 10 = -3*n. Suppose 0 = -n*v + 31 - 4. Let c = v - 7. Solve c*x = 1 + 1 for x. 1 Let a(x) = 3*x**2 + 28*x + 11. Let q be a(-9). Solve 4*m = q*m - 2 for m. -1 Let k(y) = -y + 6. Let c be k(4). Solve -2 - 6 = c*l for l. -4 Let v = 53 + -49. Suppose 0 = 4*n + 2*k - 4, 0*k = -4*n - v*k. Solve 0 = -0*u + 2*u - n for u. 1 Let v = -4 + 6. Let o(g) = g**3 - 4*g**2 + 7*g - 4. Let c be o(2). Suppose -f + 11 = c*z, 4*f + 3*z - z = 20. Solve -p + f = v*p for p. 1 Let f(g) = 4*g**3 - g**2 + 1. Let t be 4 + -6 - (3 + -6). Let r be t - (-2 - (-1 + -1)). Let x be f(r). Solve -3*n + 16 = x for n. 4 Let q = 34 - 17. Suppose 2*v - 25 = q. Solve -6 = 3*t - v for t. 5 Let h = 5 + -4. Let t be 12/12 - (-5 + h). Suppose -2*o + 5*s = -17, -5*s + t = -3*o + 23. Solve 3 = -4*m - o for m. -1 Suppose 2*p - 20 = -4*f, 4*p - f - 12 - 28 = 0. Solve 0 = -p*c + 11 + 9 for c. 2 Suppose -a + 10 = -2*w - 3*w, 4*a = 3*w - 11. Let j be (a/4)/(-3*1/12). Solve -4*b + j = b for b. 1 Suppose 0 = 5*c - 2*u - 17, 5*c - 3*u + 2 = 3*c. Solve -c*b - 7 = 3 for b. -2 Suppose 2*o + 0 = 8. Let l be (-22 - -42 - 18)*(-2 + 3). Solve o*q - 18 = l for q. 5 Let q(t) = -t - 7. Let r be q(0). Let w = -3 - r. Suppose 2 = 241*f - 239*f. Solve f = w*a + 17 for a. -4 Let w(h) = -h**2 + 7*h - 3. Let n be w(6). Suppose -74 = -f - 12. Suppose -3*g = -2*t - f, -g - g + 32 = t. Solve -n = 5*p - g for p. 3 Let u be 424/16 + 1/(-2). Let q = u - 21. Solve -q*v + 0*v = 0 for v. 0 Suppose z + 41 = 3*c, 99 - 37 = -2*z + c. Let v = z + 17. Let y be v/(-42) + 68/7. Solve 0 = 2*d + y - 0 for d. -5 Suppose -183 = -2*u - o, 2*o - 44 = 2*u - 218. Let a = -87 + u. Solve -5*m = -2*m + a for m. -1 Let s(r) = 28*r - 688. Let m be s(25). Solve -13*z - m = -17*z for z. 3 Let t(q) = 16*q + 146. Let n be t(-9). Let j(y) = -4*y - 1. Let x be j(-1). Solve n*h + x = -h for h. -1 Let w(i) be the second derivative of i**4/12 + 11*i**3/3 - 15*i**2/2 - 34*i. Let u be w(-23). Solve 13*h = 9*h - u for h. -2 Suppose 11 = 3*k - 4. Suppose -k*g + 1 = -2*z, 3*z + 3 = g + 4*z. Let l be (-3 + g)/((-18)/45). Solve -l*y = -0*y for y. 0 Let p be -2 + (3 - 0) + -1. Suppose 2*t + 1 - 11 = p. Suppose -4*m = 4, -3*a = 2*a - t*m - 30. Solve -a*n - 4 = -n for n. -1 Suppose 42*x - 34*x = 24. Solve x*k = -5*k - 24 for k. -3 Let i(u) = -50*u**3 + 51*u**3 + 8*u + 5 + 1 - 9*u**2. Let a be i(8). Suppose 0 = -a*l + 2*l. Solve -2 = z - l for z. -2 Suppose -4 = 4*t - 0, -1 = 3*k + t. Solve k = -59*c + 55*c + 8 for c. 2 Suppose 0*m - 50 = -5*m + 3*n, -m = 5*n - 38. Solve -7 = -5*i + m for i. 4 Let p(l) = l**3 - l**2. Let t be p(2). Let o be -12*3*t/(-18). Let m = o - 5. Solve -3*v = -0 + m for v. -1 Suppose 0 = -2*m + 4 + 2. Let a = m + -3. Suppose 0 = -12*c + 5 + 7. Solve -r + 2*r - c = a for r. 1 Let g = -11 - -11. Suppose -2*u = -u - g*u. Solve 4*h = -u - 12 for h. -3 Suppose -3*v = -5*v + 24. Suppose a = 2*z - 16, -a - 4*a + 3*z = 87. Let g = 21 + a. Solve -g*x - x = -v for x. 3 Suppose k - 5 = d - 2, -4*k + 12 = -2*d. Solve v + d = -2 for v. -2 Let y(r) = 60*r**3 + r. Let v be y(1). Let a be v/4 + (-1)/4. Suppose -5*p = 5*t + 4 + 11, 2*p = 5*t + a. Solve -n = -p*n for n. 0 Suppose -5*j + 28 + 7 = 0. Suppose j*m - 24 = 3*m. Suppose -m = 3*q, -14 - 20 = -2*o - 3*q. Solve o = -3*a - a for a. -5 Let d = 93 + -77. Suppose 8 = -d*a + 17*a. Solve 10*o = a*o - 8 for o. -4 Let v(i) = -2*i**2 + 16*i - 21. Let w be v(5). Let b be 2*2*w/48*4. Solve 0 = b*r - 10 + 4 for r. 2 Let t be 6/(-15) + 2/5. Let w be (-3 - (-186)/12)*(-4)/(-5). Let y be (5/(-2))/((-1)/2). Solve t*m - w = y*m for m. -2 Suppose -4*w - 63 = -7*w. Suppose 4*n - 2*u = 10, 5*n - 4*u = w - 1. Let l = -18 + 23. Solve -j - 1 + l = n for j. 4 Let t(v) = -4*v + 0*v + 5 - v**3 - v + 4*v**2. Let z be t(2). Suppose s - 17 = z*o, -2*o = 2*o + 20. Solve 0 = -g - s*g + 15 for g. 5 Suppose 4*l + 7 = 5*y, -3*l + 25 - 10 = 3*y. Solve -9*j + y*j - 18 = 0 for j. -3 Let j(v) = 1 - v + 0 - v + 0. Let c be j(-1). Suppose -m = c - 8, 18 = -i + 4*m. Solve 5*h - 3 = i*h for h. 1 Let f = 39 - 32. Solve -f*j = -14*j for j. 0 Suppose 2*p - 16 = 2*t, -4*p + 6 = 3*t - 5. Solve p = -5*m + 10 for m. 1 Let j = 29 + 3. Let k be (216/j)/(6/16). Let w be k*(3/(-2) + 2). Solve -l = 2*l - w for l. 3 Let s = 443 - 441. Solve 6*y = 4 + s for y. 1 Suppose -80 = -5*q + f, -q - q + 32 = 3*f. Solve -3*j = q - 4 for j. -4 Let p(g) = g**2 + 2*g + 1. Let j be p(-1). Suppose 2*m + 35 - 15 = j. Let d(w) = -w - 9. Let q be d(m). Solve 4*f = 3*f - q for f. -1 Let m be 2/(1/2 - 0). Suppose 3*k + k - 4 = 2*f, 0 = -5*f - k + 34. Suppose 3*w + 2*u + 8 = f*w, -u - 4 = 3*w. Solve -4*h = -w + m for h. -1 Let r be 6/(-4)*8/(-4). Suppose 4*p - 5 = 5*x, 0 = -p - 5*x - 2 - r. Solve p = -2*l + 4 + 6 for l. 5 Let h(v) = 34*v**2 - 14*v**2 - 2*v - 21*v**2 - 7*v + 10. Let d(u) = 3*u + 2. Let t be d(-4). Let n be h(t). Solve n = f - 1 - 0 for f. 1 Suppose 3*n = -d + 34, -d + 29 = 5*n - 25. Let s = n - 9. Let t = s + 2. Solve 0 = -6*r + t*r + 15 for r. 5 Let t be (-3 - -14)/1 + -1. Suppose 9*q - 4*q = -t. Let b = 0 - q. Solve -b*k + 0*k + 4 = 0 for k. 2 Let n(d) be the second derivative of d**4/12 + d**3/3 + 2*d**2 - 5*d. Let o be n(-3). Solve 0 = -5*x + o + 8 for x. 3 Let y(c) = -2 - 13*c**2 - 8*c - 8*c + 2*c - 1 + c**3. Let x be y(14). Let r be x + 5*(-24)/(-20). Solve w - r = -2*w for w. 1 Suppose 0*d - 2*d + 4*b = -32, 0 = 3*d + 5*b + 7. Solve 2 = -2*a - d for a. -4 Let b(i) = -i**3 - i**2 + 14. Let f be b(0). Solve f = -6*k - 4 for k. -3 Let a(o) = -o**2 + 9*o + 2. Let y be a(9). Solve -16 = -6*g + y*g for g. 4 Let c(d) = -d + 11. Suppose 3*v - 15 = 3*y, 5*v - y - 34 = y. Let x be c(v). Let f be 2/(-3) - (-4)/6. Solve -x*b + 8*b + 20 = f for b. -4 Let d(b) = 4*b**2 - 16*b - 35. Let s be d(6). Solve -3*z = -s + 28 for z. -5 Suppose 2 = -3*a + 14. Suppose 3*h - 19 = -4*i, -a*h - 2*i = 3*i - 24. Solve -g = -h - 1 for g. 2 Let n(z) = -2*z**3 + 36*z**2. Let a be n(18). Solve -135*r + 140*r - 25 = a for r. 5 Let y(l) = l**2 - 3 - 4*l - 6 + 4. Let d be y(5). Suppose 2*r = -3471 + 3475. Solve d = -o - 4 + r for o. -2 Let o(c) = -c**2 - 8*c - 7. Let n = -13 + 7. Let v be o(n). Suppose 14*k + 135 - 303 = 0. Solve -v*s + s = k for s. -3 Suppose 2*a - 15 - 5 = 0. Let n be 18/a + (-2)/(-10). Suppose -9 = -n*s + 19. Solve 2 = 4*g + s for g. -3 Let s(p) = 12*p**2 + 3*p - 1. Let f be s(1). Solve 16 = 18*z - f*z for z. 4 Let i be (-4)/(-14) + 3/(42/38). Let w be i/((-9)/12) - 1*-4. Solve -2*z + 10 + w = 0 for z. 5 Suppose 0*k = -3*k. Suppose k = -3*v + 4*v - 12. Solve -2*m - m = -v for m. 4 Suppose 0 = 5*b - 0*b + 10, 3*b = 2*f. Let i be (0/(-3*(-2)/f))/(-1). Solve -5 = -i*j + j for j. -5 Let h be 30/54*6 - 2/6. Suppose 18 = h*o + 3*o. Solve 4 = o*n - n for n. 2 Suppose 5*u + 4*k + 162 = 7*u, -k = 4*u - 297. Suppose -72*x - 6 = -u*x. Solve -d - d + x = 0 for d. 1 Suppose 65*m + 336 = 79*m. Solve s + m = 7*s for s. 4 Suppose -3*h = -h + 3*r + 81, -5*r = 15. Let g = h - -36. Solve g*k = -2*k - 8 for k. -4 Suppose -2*k = -3*k. Let l be 4 + 3 + (-3 - -1). Suppose 4*y - 3*z = z + 24, -l*y + 3*z + 24 = k. Solve x = y*x for x. 0 Suppose 11*k - 15*k = 4*o - 52, k = o + 3. Let s be -3 + (-8)/(k/(-5)). Solve -w + 0 + s = 0 for w. 2 Let f(v) = -v**2 + 5*v + 14. Let n(c) = -3*c**2 + 0*c**2 + 4*c**2 + 1 + 4*c - 5*c. Let q be n(3). Let o be f(q). Solve 0 = -o*d - 3*d for d. 0 Suppose 3*t + k = 5, -2*t - 5 = 3*t - 5*k. Let v be 0/(-28) - (0 - 0). Solve -b = -v*b - t for b. 1 Let u(g) = -2*g**2 - 3*g - 3. Suppose -2*v - 16 = -10. Let f be u(v). Let o = f + 15. Solve -2*y + o*y - 5 = 0 for y. 5 Suppose -3*q = -7*q + 4. Let p = q - -5. Suppose -t - 10 = -p*t. Solve -3*j + t = -5*j for j. -1 Let d(o) = -o**3 - 4*o**2 - 2*o + 3. Let p be d(-3). Suppose -5*k + j + 25 = p, 0 = -k - k - j + 17. Solve -k*m = -m for m. 0 Suppose 5*s - 19 = 3*n, 8*s - 5*n = 7*s + 17. Solve -3*a + 10 + s = 0 for a. 4 Suppose 33 - 13 = -4*f. Let q(k) = -2*k - 6. Let y be q(f). Solve 0*w + y*w - 8 = 0 for w. 2 Suppose -s - 5 = -d - 4, -3*d + 4*s + 2 = 0. Suppose 3*y + y = -2*x + 12, -x + 18 = 5*y. Suppose -4*t + 0*t = -y*h, -t = 5*h. Solve 0*j + d*j = t for j. 0 Let h be (-2 - (-26)/12) + (-309)/18. Let q be 24/(-56) + h/(-7). Solve t = -t -
{ "pile_set_name": "DM Mathematics" }
.03 from -650618138. -650618138.03 What is -579.331 minus 25? -604.331 What is the difference between -36.892803 and 1? 37.892803 -98693143 - -3 -98693140 What is 28.249 less than 2171646? 2171617.751 7 + 114027600 114027607 Sum 0.044286262 and 0.07. 0.114286262 Sum -0.94320108 and 16. 15.05679892 Calculate -0.4 - 14.27086468. -14.67086468 Calculate -10262.048 - -79. -10183.048 What is -0.4 - 439789371? -439789371.4 -0.0038121+-0.57 -0.5738121 What is -0.07 take away -33398.234? 33398.164 What is 1399.59294 less than 3? -1396.59294 What is -20898026 + -158.6? -20898184.6 Add together -64 and -0.043609. -64.043609 What is 57401 minus 7833? 49568 What is the difference between -0.1 and -397.406033? 397.306033 Calculate -2931.48 - 155. -3086.48 What is 25.18253 + 1? 26.18253 Work out 9080.300856 + -0.3. 9080.000856 Sum 2 and -0.268112593. 1.731887407 Add together 5 and -293212478. -293212473 What is the distance between 9.57548296 and -0.01? 9.58548296 What is -21378.75 take away -1.6111? -21377.1389 What is the distance between -331124 and -275.4? 330848.6 Work out 335553261 + -1.4. 335553259.6 What is -91043 less than 1.912? 91044.912 Put together 9.41 and -59914. -59904.59 What is -31430 + -14339.6? -45769.6 What is 13031918633 - -0.1? 13031918633.1 What is -637752 take away 41? -637793 Calculate -174881 + -156.6. -175037.6 0.9 - 3863638004 -3863638003.1 Put together -277 and 546497656. 546497379 -0.2 + -15392010 -15392010.2 Work out -65622126 - -137. -65621989 Total of -4913461 and 9. -4913452 Work out -78793295 + -0.944. -78793295.944 Add 1.4 and 0.0210932. 1.4210932 Calculate 8.3335 - -0.54. 8.8735 What is -118475353 minus 0.0028? -118475353.0028 -601 + 25260667 25260066 Add together -51 and 1217967. 1217916 What is 50874.12 take away -0.12? 50874.24 Calculate 1 + -3546.137. -3545.137 Calculate 590 + 10.48789. 600.48789 What is 634352 less than 0.22? -634351.78 What is 70512278 take away -12.5? 70512290.5 Put together -9982480 and -451. -9982931 Calculate 4 + 555249.5. 555253.5 0.3+2160701 2160701.3 What is the distance between -0.9 and -477602.322? 477601.422 Work out -59120324468 - 5. -59120324473 Work out -275 - 105357. -105632 What is -1.0980984 - -18? 16.9019016 Subtract 76.46621814 from -0.2. -76.66621814 What is 1697 less than -172.7573? -1869.7573 Calculate -50508 - 181.532. -50689.532 774 + 1795790 1796564 Total of -3462 and 6283. 2821 What is 4.3258835 less than -0.9? -5.2258835 Add together 193 and -28006. -27813 Work out 21562 + 1901. 23463 Work out 6502360593.1 - -0.3. 6502360593.4 Calculate -25.54295663 - 0.1. -25.64295663 Work out 5058206 + -4. 5058202 What is the distance between 145 and 377.01151? 232.01151 Work out 3 + -2158660. -2158657 What is -0.03 - 5448.0281? -5448.0581 What is the difference between -6241.6 and 0.96? 6242.56 What is the difference between 0.397 and 10167465? 10167464.603 What is 6320909 - 0.094? 6320908.906 What is the distance between -0.032 and 12883548? 12883548.032 -103668 - 0.0792 -103668.0792 Add together -20 and 491.64. 471.64 0.146 - -185.47367 185.61967 What is -14591004.9 plus 0? -14591004.9 What is the distance between 0.3 and 109410186? 109410185.7 Subtract -1.1 from -0.0261853. 1.0738147 Calculate 1.541 + 17699. 17700.541 Work out 5 + -0.088218388. 4.911781612 Calculate -97263 - -18615. -78648 What is 2.6079926 minus 3? -0.3920074 -1659+-17832.46 -19491.46 Subtract 14539127 from -7. -14539134 Add together 2557.4862 and 0.4. 2557.8862 What is the difference between 32 and 0.66925? 31.33075 What is -2.3 minus 0.2565? -2.5565 Sum 0.118 and 139709. 139709.118 243071 - 800 242271 -221550.1 + 1.07 -221549.03 What is -3.85385 take away 11702? -11705.85385 What is -2.5 less than -2854219907? -2854219904.5 -1940043 + 24 -1940019 What is -773260 minus -1.1? -773258.9 What is the distance between -405 and 140313288? 140313693 Total of -157084283 and -4. -157084287 What is 35516797 take away 0.5? 35516796.5 What is -0.258 - 4978452? -4978452.258 What is the distance between 5259 and 1036? 4223 What is 0.66 + 2284? 2284.66 2.548+939.7 942.248 Calculate 0.15 - -7217650. 7217650.15 Put together 2784 and -10351. -7567 Calculate -0.31 + 1.2089441. 0.8989441 Calculate 0.05 + -1229480.8. -1229480.75 What is 2425596 take away -9? 2425605 What is -13680 minus -92? -13588 What is the distance between -140545 and -0.1669? 140544.8331 What is -8.2436294 + 1? -7.2436294 What is the difference between -46.172039 and -4? 42.172039 Calculate -6 - 18622.151. -18628.151 Work out 91 - 3091494. -3091403 What is -0.1788 minus 12.16? -12.3388 0.1+-1589143.8 -1589143.7 -2.2759+1773880 1773877.7241 What is the difference between -39492.3 and -0.33? 39491.97 2359+296700 299059 Subtract 1484.079 from -0.06. -1484.139 6 - 36351066 -36351060 What is 62 - -7142.5919? 7204.5919 -1 - 745052588 -745052589 113+-2230.783 -2117.783 Work out -10 + -1855657. -1855667 -1377286 + -2.598 -1377288.598 What is -0.03 plus -1.19654343? -1.22654343 Calculate -29947 + -118.6. -30065.6 What is 5175914 plus -0.9? 5175913.1 0.171 + -0.41667935 -0.24567935 What is 15588 minus 59328? -43740 What is -733798 plus -741? -734539 What is 71.813 plus 15042? 15113.813 What is 0.060756 less than -0.185? -0.245756 What is -691.093158 - 0? -691.093158 Sum 0.1 and -14.9354147. -14.8354147 Calculate 45021 + -1085. 43936 What is 29209 less than -1558.3? -30767.3 Work out -1.7 + -3272.2196. -3273.9196 Work out 0.41 - -120067339. 120067339.41 237241+-2.256 237238.744 Work out -87462082 - -0.3. -87462081.7 Put together 0.1 and 82745831. 82745831.1 -229625 + 0.303 -229624.697 -5+0.04242149 -4.95757851 What is 2.4 minus 6456.668? -6454.268 -1755+27.41 -1727.59 What is the distance between -176 and 98613361? 98613537 Put together 369.94245 and 98. 467.94245 Work out -2.081 + 2.3. 0.219 What is -6 plus -470.68725? -476.68725 -2962894 + -0.04 -2962894.04 What is the difference between 13009366 and -133? 13009499 1.1745 + 1209 1210.1745 Total of -329 and -39553. -39882 What is 436582 - -0.027? 436582.027 What is 104 minus 0.3614135? 103.6385865 What is 0.4 minus 16457727? -16457726.6 Work out 0.374 - -76667. 76667.374 Calculate 27 + -0.0687684. 26.9312316 Put together -68 and -411002. -411070 Calculate -7.135 + 2898786. 2898778.865 Work out 0.52 - 6565.07. -6564.55 What is 6.406899316 less than 5? -1.406899316 Put together 907 and 2.068056. 909.068056 Calculate 10.013193 + 0.2. 10.213193 What is the difference between 60 and -538925? 538985 Calculate 1643441 + -1.2. 1643439.8 What is -30 take away 146.5877? -176.5877 What is -0.072 minus 78285? -78285.072 2235 - 119.01833 2115.98167 What is -0.0267817 + -43? -43.0267817 Put together -5 and -406196974. -406196979 0.08823 - 178614 -178613.91177 Put together 0.2867 and 4.94. 5.2267 What is 9.12 plus -0.5592? 8.5608 What is -90706 take away -342? -90364 Calculate 0.6 - 8953.96. -8953.36 Put together 140.3437 and 15081. 15221.3437 34 + -4833436 -4833402 50936+2136 53072 What is 0.04582587 + -5762? -5761.95417413 What is -8262 minus 1708? -9970 Total of 0.26 and -33465. -33464.74 Subtract -941 from 2183634. 2184575 Calculate -3425834890 - 0.1. -3425834890.1 What is 151903 less than -0.506? -151903.506 What is the distance between -5037732 and -6.4? 5037725.6 1.8633305+-1.1 0.7633305 Subtract -56544 from -0.518196. 56543.481804 What is -189647606 less than -0.04? 189647605.96 What is the distance between -0.0552438 and -0.039? 0.0162438 What is -248 - -152670? 152422 Sum 0.1076405655 and -0.3. -0.1923594345 What is the difference between 5588244738 and -5? 5588244743 Sum -62073.044 and -5. -62078.044 What is the difference between -976431716 and -0.1? 976431715.9 What is 262 take away -55.132? 317.132 Add together -1.2014 and 2876. 2874.7986 Put together -108313709 and -4. -108313713 What is -8.1 less than -80.688? -72.588 Add together 48764 and 93541. 142305 Subtract 89 from 24366.22. 24277.22 Add together 6032 and 60721. 66753 Add together 11 and 25172116. 25172127 What is -4841208.66 take away 0.2? -4841208.86 What is the difference between 8527.02 and 105446? 96918.98 2793475833 + 1 2793475834 What is 561 minus -164886? 165447 Work out 18294819 - -38. 18294857 3 - 2092675 -2092672 What is -0.1 - 3793330425? -3793330425
{ "pile_set_name": "DM Mathematics" }
5935? 54234581 What is the next term in -1819, -5254, -10961, -18928, -29143? -41594 What is next in -3276, -26366, -89038, -211086, -412304, -712486, -1131426? -1688918 What is next in -124552, -249085, -373618? -498151 What comes next: -23, -72, -199, -452, -879, -1528? -2447 What is next in -142299, -569146, -1280543, -2276490, -3556987, -5122034? -6971631 What is next in 20941, 41999, 63185, 84517, 106013, 127691, 149569? 171665 What is next in 47546, 93839, 140132? 186425 What is the next term in 262686887, 262686885, 262686883, 262686881? 262686879 What comes next: -2245564, -4491123, -6736678, -8982229, -11227776? -13473319 What comes next: 55, 167, 367, 691, 1175, 1855? 2767 What comes next: 25879582, 51759159, 77638734, 103518307, 129397878, 155277447, 181157014? 207036579 What comes next: -2449306, -4898599, -7347892, -9797185, -12246478, -14695771? -17145064 What is next in -110111, -220211, -330297, -440369, -550427? -660471 What is next in -22638, -47351, -72064, -96777? -121490 What is next in -4136, -8978, -13820, -18662? -23504 What is next in 1446825, 2893604, 4340383, 5787162, 7233941, 8680720? 10127499 What is the next term in -19552530, -19552508, -19552486? -19552464 What is next in 611, 2750, 6313, 11300, 17711, 25546, 34805? 45488 What is the next term in -21877, -43584, -65281, -86962, -108621, -130252, -151849? -173406 What is the next term in -1165967, -2331918, -3497845, -4663736, -5829579, -6995362, -8161073? -9326700 What is the next term in -27, 67, 341, 885, 1789, 3143, 5037, 7561? 10805 What is the next term in 657, 5012, 16765, 39618, 77273, 133432, 211797? 316070 What is next in 3603428, 3603430, 3603432, 3603434, 3603436? 3603438 What is the next term in -7042334, -7042326, -7042312, -7042292, -7042266? -7042234 What is next in 896, 1808, 2744, 3704, 4688? 5696 What is next in -11355, -26054, -40775, -55518, -70283, -85070? -99879 What comes next: 705279, 705308, 705355, 705420, 705503, 705604, 705723? 705860 What comes next: 458, 4943, 12464, 23027, 36638, 53303, 73028, 95819? 121682 What is next in 11056660, 11056651, 11056636, 11056615? 11056588 What is the next term in 25, -316, -1351, -3434, -6919, -12160? -19511 What is next in 7736, 56114, 185794, 437426, 851660, 1469146, 2330534, 3476474? 4947616 What is next in 3288, 3144, 2924, 2628, 2256, 1808, 1284? 684 What is next in -7818377, -15636780, -23455183, -31273586, -39091989? -46910392 What is next in 2388, 9525, 21398, 38007, 59352, 85433, 116250? 151803 What is next in 2603, 3513, 4429, 5351? 6279 What comes next: -190, -488, -1262, -2752, -5198, -8840? -13918 What is next in -490487, -490729, -490967, -491201, -491431, -491657? -491879 What is the next term in -240131, -971981, -2191731, -3899381? -6094931 What comes next: -722754, -722681, -722612, -722547, -722486? -722429 What is next in -203, -272, -403, -626, -971, -1468, -2147? -3038 What is next in 56218, 112413, 168598, 224767, 280914, 337033, 393118? 449163 What is next in -59709, -119272, -178667, -237894, -296953, -355844, -414567? -473122 What is next in 448384, 896797, 1345228, 1793683, 2242168? 2690689 What comes next: -11664, -7108, -2526, 2094, 6764, 11496, 16302? 21194 What comes next: 4869733, 4869806, 4869921, 4870072, 4870253, 4870458, 4870681, 4870916? 4871157 What comes next: -13084, -13094, -13100, -13102, -13100? -13094 What is next in 23005, 46176, 69731, 93862, 118761, 144620, 171631, 199986? 229877 What comes next: 42764, 44055, 45346, 46637? 47928 What is the next term in -1341226, -5365113, -12071664, -21460879, -33532758, -48287301? -65724508 What is next in 48170, 192619, 433352, 770369, 1203670, 1733255, 2359124? 3081277 What comes next: -14045212, -14045215, -14045218, -14045221, -14045224? -14045227 What is next in -147389, -294750, -442111, -589472? -736833 What is the next term in -761, -2882, -5003, -7124, -9245? -11366 What comes next: -26942, -53920, -80908, -107906, -134914? -161932 What is the next term in -4949486, -9898935, -14848384, -19797833? -24747282 What is next in -51908, -51821, -51578, -51101, -50312, -49133, -47486, -45293? -42476 What is the next term in 1035, 955, 929, 987, 1159, 1475? 1965 What comes next: 25560, 219613, 746330, 1772043, 3463084, 5985785, 9506478, 14191495? 20207168 What comes next: 44095, 88653, 133211, 177769? 222327 What is next in -101993, -203928, -305863, -407798? -509733 What is the next term in 40606, 162368, 365286, 649360, 1014590, 1460976? 1988518 What is next in -73723, -147505, -221287, -295069? -368851 What comes next: -6143, -12251, -18359, -24467, -30575, -36683? -42791 What comes next: -439031, -438223, -437415, -436607, -435799, -434991? -434183 What is the next term in -195511, -195191, -194875, -194563, -194255, -193951, -193651? -193355 What comes next: -141281, -141319, -141357, -141395, -141433? -141471 What is the next term in -295311, -298086, -300863, -303642, -306423, -309206? -311991 What comes next: 259280, 1037270, 2333928, 4149260, 6483272, 9335970? 12707360 What is next in 1235170, 1235207, 1235260, 1235329? 1235414 What is next in -21880, -44058, -66548, -89350, -112464, -135890, -159628? -183678 What is the next term in 1711674, 3423446, 5135218? 6846990 What comes next: 18914965, 18914928, 18914891, 18914854? 18914817 What is next in -301488, -602937, -904386, -1205835, -1507284, -1808733? -2110182 What comes next: -5384217, -5384230, -5384243, -5384256, -5384269? -5384282 What comes next: -6798, -8109, -9432, -10773, -12138? -13533 What is the next term in -18306613, -18306610, -18306607? -18306604 What comes next: -5738, -5677, -5556, -5375, -5134, -4833, -4472? -4051 What is the next term in 579, 1283, 2277, 3561? 5135 What comes next: 19869, 19839, 19785, 19707, 19605, 19479? 19329 What is the next term in -11299, -73476, -242231, -570850, -1112619, -1920824? -3048751 What is next in -17132402, -17132401, -17132402, -17132405, -17132410, -17132417? -17132426 What comes next: -16807, -17775, -18743? -19711 What is next in 914314776, 914314778, 914314780, 914314782, 914314784? 914314786 What comes next: 228605, 228603, 228599, 228593? 228585 What is next in 7200, 14539, 21878, 29217, 36556, 43895? 51234 What is next in 22822, 22831, 22852, 22885? 22930 What comes next: 4389, 179, -4019, -8205? -12379 What is the next term in -2040, -1973, -1910, -1851, -1796? -1745 What is the next term in -54610, -66580, -78550, -90520, -102490, -114460? -126430 What is next in -2111, -6913, -14877, -26003, -40291? -57741 What is next in 17162, 17117, 16990, 16739, 16322, 15697, 14822? 13655 What is next in -3697147, -3697155, -3697167, -3697183, -3697203, -3697227, -3697255? -3697287 What is the next term in -2364, -12141, -29372, -54057? -86196 What is the next term in -2427291, -4854580, -7281869? -9709158 What is next in -1567066, -1567132, -1567196, -1567258, -1567318, -1567376? -1567432 What is the next term in 186105, 186499, 187157, 188079, 189265, 190715, 192429? 194407 What is next in 214047, 428696, 643345, 857994, 1072643, 1287292? 1501941 What is the next term in 48, -2621, -9848, -23907, -47072, -81617? -129816 What comes next: 4041, 32342, 109185, 258846, 505601? 873726 What is the next term in 2298179, 2298177, 2298175? 2298173 What comes next: 2503908, 10015654, 22535232, 40062642? 62597884 What is next in -30488, -53311, -76134, -98957? -121780 What comes next: 50604077, 50604075, 50604073, 50604071? 50604069 What is the next term in -2293915, -4587901, -6881963, -9176107, -11470339, -13764665? -16059091 What is next in 101844, 408091, 918742, 1633797, 2553256? 3677119 What is next in -866, 863, 2592, 4321? 6050 What is the next term in -373, -3019, -10225, -24271, -47437, -82003, -130249? -194455 What comes next: -14695259, -29390476, -44085693, -58780910, -73476127? -88171344 What is next in 991896, 3967741, 8927484, 15871131, 24798688, 35710161, 48605556? 63484879 What is next in -12679865, -12679863, -12679861, -12679859? -12679857 What comes next: 25566, 25562, 25590, 25668, 25814, 26046, 26382, 26840? 27438 What comes next: 47520, 95004, 142474, 189930? 237372 What is the next term in -66643, -133257, -199871, -266485, -333099, -399713? -466327 What is next in 33267, 66367, 993
{ "pile_set_name": "DM Mathematics" }
+ 5*z + 0 - 9/2*z**2. Let u(t) = 0. Calculate t. -1, 3 Let c(h) be the third derivative of h**6/720 - h**5/180 - h**4/48 - h**2 + 2*h. Suppose c(q) = 0. Calculate q. -1, 0, 3 Let i(n) be the first derivative of 0*n + 3/20*n**5 + 1/4*n**4 - 5 + 0*n**2 + 1/12*n**3. Let i(x) = 0. Calculate x. -1, -1/3, 0 Suppose 3*l = -3*g + 2*g, -3*l - 3*g = 0. Let m(o) be the second derivative of -o + 1/90*o**5 - 1/9*o**3 + 0*o**4 + l - 2/9*o**2. Find v, given that m(v) = 0. -1, 2 Let a(s) = -4 + 1 + 3 - 4*s + 2*s**2 + 3. Let d(l) = -4*l**2 + 9*l - 7. Let y(z) = -14*a(z) - 6*d(z). Factor y(o). -2*o*(2*o - 1) Let c(v) be the first derivative of 0*v - 2/11*v**2 - 1/22*v**4 - 2/11*v**3 + 2. Suppose c(q) = 0. Calculate q. -2, -1, 0 Let b(q) be the first derivative of -4/3*q - 4 + 2/9*q**3 + 1/3*q**2. Factor b(t). 2*(t - 1)*(t + 2)/3 Let q(r) be the second derivative of 3*r**7/7 + 7*r**6/5 + r**5/10 - 3*r**4/2 + 2*r**3/3 - 4*r. Let q(h) = 0. What is h? -2, -1, 0, 1/3 Let x = 1 - -2. Suppose -2*d - x*d + 4*n = -26, 16 = 4*d - 2*n. Factor 16 - 16 + d*g**3 + 8*g - 8*g**2. 2*g*(g - 2)**2 Let k = -26 - -29. Let q(a) be the first derivative of -4/27*a**k - 1 + 0*a**2 + 2/45*a**5 + 0*a + 1/18*a**4. Determine w, given that q(w) = 0. -2, 0, 1 Let c be (0/(-1 - 4))/(-1 - -2). Let f(w) be the first derivative of 3 + 2/9*w**3 - 1/3*w**2 + c*w + 1/6*w**4 - 2/15*w**5. Factor f(z). -2*z*(z - 1)**2*(z + 1)/3 Let x be (-27)/(-6) + 4 + -8. Let i be 27/6 - 1/(-2). Determine v so that 0*v**3 - x*v + 1/2*v**i + v**2 + 0 - v**4 = 0. -1, 0, 1 Let h(a) be the third derivative of 0*a**4 + 0*a**7 + 0*a**3 + 0*a - 1/540*a**6 + 1/1512*a**8 + 0*a**5 + 2*a**2 + 0. Let h(n) = 0. What is n? -1, 0, 1 Let k be ((-2)/(-3) - 0)*6/2. Factor -27/2*z**3 - 60*z + 117/2*z**k + 18. -3*(z - 3)*(3*z - 2)**2/2 Let h be 3/24*-1*-2. Let j(x) = -x + 5. Let p be j(2). Factor 1/4*t**2 + 1/4*t**p - 1/4*t - h*t**4 + 0. -t*(t - 1)**2*(t + 1)/4 Let k(p) = -3*p**4 + 6*p**3 + 9*p**2 + 4*p + 4. Let x(r) = 6*r**4 - 12*r**3 - 18*r**2 - 9*r - 9. Let j(q) = -9*k(q) - 4*x(q). Factor j(g). 3*g**2*(g - 3)*(g + 1) Let d(t) = t**2 + 7*t - 8. Let s be d(-8). Let z(q) be the second derivative of 1/15*q**3 - 1/50*q**5 + s*q**4 + 0 - q + 0*q**2. Factor z(y). -2*y*(y - 1)*(y + 1)/5 Let m(q) = -3*q**2 - 9*q + 1. Let n(t) be the first derivative of -t**3/3 - 3*t**2/2 + 7. Let i(v) = 2*m(v) - 7*n(v). Factor i(p). (p + 1)*(p + 2) Let q(t) be the first derivative of -2*t**5/85 + 4*t**3/51 - 2*t/17 - 13. What is z in q(z) = 0? -1, 1 Factor 5*v**3 + 3*v**2 - 3 - 4*v + v - 2*v**3. 3*(v - 1)*(v + 1)**2 Let x(f) be the first derivative of f**4/6 + 8*f**3/9 + 5*f**2/3 + 4*f/3 - 5. Factor x(q). 2*(q + 1)**2*(q + 2)/3 Suppose -7*z + z = 0. Let l(n) be the third derivative of n**2 - 1/84*n**4 + z*n + 1/210*n**5 - 2/21*n**3 + 0. What is v in l(v) = 0? -1, 2 Let o = 31/78 + -3/13. Let v(t) be the second derivative of 1/6*t**4 + 1/20*t**5 - 2*t + 0 + 0*t**2 + o*t**3. Suppose v(n) = 0. What is n? -1, 0 Let h be 2 + (-2 - -2 - 2). Let t be (1*-3)/((-90)/(-20))*-3. Factor -4/9*q**3 + 0*q + 10/9*q**5 + 0 + 2/3*q**4 + h*q**t. 2*q**3*(q + 1)*(5*q - 2)/9 Let v be (-2*12/15)/(-2). Factor p + 1/5*p**2 + v. (p + 1)*(p + 4)/5 Let s = -4 - -6. Suppose 6*v**2 + 4*v**4 + s*v**2 - 4*v**2 - 6*v**3 - 2*v**2 = 0. What is v? 0, 1/2, 1 Let j(x) be the first derivative of 3*x**3/4 + 2*x**2 - x + 7. Factor j(o). (o + 2)*(9*o - 2)/4 Let t(n) be the first derivative of -n**4 + 4*n**3/3 - 10. Factor t(h). -4*h**2*(h - 1) Find q such that -3/4 - 1/2*q + 1/4*q**2 = 0. -1, 3 Let x be 9/(-11)*(-10)/15. Factor 2/11*n**3 + 4/11*n + x*n**2 + 0. 2*n*(n + 1)*(n + 2)/11 Determine j, given that 0 - 2/9*j - 2/3*j**4 - 14/9*j**3 - 10/9*j**2 = 0. -1, -1/3, 0 Let a(q) be the second derivative of -q**7/5880 - 5*q**4/12 + q. Let p(y) be the third derivative of a(y). Factor p(i). -3*i**2/7 Let m(y) be the first derivative of 3*y**3 + 3*y**2 - 6*y - 4. Let i(d) = 17*d**2 + 12*d - 11. Let n(h) = -6*i(h) + 11*m(h). Suppose n(s) = 0. What is s? -2, 0 Find m such that 10*m**2 - m**4 + 2*m**3 - m + 3*m**4 - 4 - 16*m**2 - 9*m = 0. -1, 2 Factor -2/19*v**2 - 6/19*v**4 - 6/19*v**3 + 0*v + 0 - 2/19*v**5. -2*v**2*(v + 1)**3/19 Let p be ((-10)/75*5)/((-2)/12). Determine w so that 4/5*w - 16/5*w**2 + 0 - 9/5*w**p + 21/5*w**3 = 0. 0, 2/3, 1 Let w(m) be the third derivative of -m**5/20 - 3*m**4/8 - m**3 + 9*m**2. Suppose w(a) = 0. What is a? -2, -1 Let j(z) be the third derivative of -z**5/140 + 2*z**3/7 - 6*z**2. Find c, given that j(c) = 0. -2, 2 Let h(c) be the second derivative of 4*c**7/63 + 2*c**6/9 + 4*c**5/15 + c**4/9 + 7*c. Factor h(m). 4*m**2*(m + 1)**2*(2*m + 1)/3 Suppose 5*s + u - 30 = -0*s, 0 = -3*s - u + 20. Let i(g) = g**2 - 6*g + 7. Let w be i(s). Find h, given that 6*h**2 + 6*h - 4 - w + 6 + 2*h**3 + 2 = 0. -1 Factor -2/5*c**3 + 12/5 + 14/5*c + 0*c**2. -2*(c - 3)*(c + 1)*(c + 2)/5 Let o(i) be the first derivative of -i**3/5 + 3*i**2/5 + 9*i/5 + 1. Factor o(b). -3*(b - 3)*(b + 1)/5 Let i(l) be the first derivative of 2*l**3/21 + l**2/7 - 4*l/7 + 63. Factor i(t). 2*(t - 1)*(t + 2)/7 Let s = -13 - -17. Let m(t) be the second derivative of t + 1/2*t**s + t**2 + 4/3*t**3 + 0. Factor m(z). 2*(z + 1)*(3*z + 1) Let l(d) be the first derivative of 4*d**4 - 8/3*d**3 - 3 - 2/5*d**5 + 0*d**2 - d**6 + 0*d. Find s, given that l(s) = 0. -2, 0, 2/3, 1 Let w(m) = -m**4 + 16*m**3 + 26*m**2 + 20*m + 7. Let u(c) = 16*c**3 + 26*c**2 + 19*c + 6. Let o(t) = -4*u(t) + 3*w(t). Determine x so that o(x) = 0. -3, -1, -1/3 Let n = -653/24 - -223/8. Let 4/3*k**3 - 2/3 + 2*k**4 - 4/3*k**2 + n*k**5 - 2*k = 0. Calculate k. -1, 1 Suppose -3 = -3*x + 3. Let -2*j**5 + 28*j**x - j**3 - 3*j**4 - 25*j**2 - 2*j**3 + 5*j**5 = 0. What is j? -1, 0, 1 Let q(w) be the first derivative of w**7/280 - w**5/40 + w**3 - 5. Let t(h) be the third derivative of q(h). Solve t(d) = 0 for d. -1, 0, 1 Let r(k) be the third derivative of -k**8/20160 + k**6/720 - k**5/180 - k**4/8 + k**2. Let j(p) be the second derivative of r(p). Factor j(y). -(y - 1)**2*(y + 2)/3 Let i = -8 + 7. Let r = 5 + i. Factor 0*j - 2*j**2 - j - 5*j**4 + 4*j**r + j**3 + 3*j**2. -j*(j - 1)**2*(j + 1) Solve j**3 - 3/2*j**2 + j - 1/4 - 1/4*j**4 = 0. 1 Let k = -7 - -3. Let h(u) = 8*u**3 - 16*u**2 + 6. Let m(y) = 33*y**3 - 65*y**2 + 23. Let i(f) = k*m(f) + 18*h(f). Factor i(o). 4*(o - 2)*(o - 1)*(3*o + 2) Let u(t) be the second derivative of -t**5/130 - 5*t**4/78 - 7*t**3/39 - 3*t**2/13 + 7*t. Factor u(x). -2*(x + 1)**2*(x + 3)/13 Let z(i) be the second derivative of 1/20*i**5 + 4*i + 0 - 27/2*i**2 + 9/2*i**3 - 3/4*i**4. Determine f, given that z(f) = 0. 3 Suppose 3*s - 2*r = -2, -5*s = -4*r + 2 + 4. Factor 2*q - q + 39*q**3 + 4*q**s - 3*q**2 - 1 - 40*q**3. -(q - 1)**2*(q + 1) Solve -6*q**3 + 3 + 8*q - 2*q**3 + 3 + 0*q**3 - 4*q**2 - 2*q**4 = 0 for q. -3, -1, 1 Let m = 2/251 - -496/753. Factor -2/3*u - m*u**2 + 0. -2*u*(u + 1)/3 Find h, given that -8/7*h**4 + 10/7*h**2 - 2/7 - 6/7*h**3 + 6/7*h = 0. -1, 1/4, 1 Let m(x) = x**4 + 5*x**3 + 15*x**2 - 11*x - 10. Let b(k) = 5*k**4 + 30*k**3 + 90*k**2 - 65*k - 60. Let s(l) = 6*b(l) - 35*m(l). Factor s(n). -5*(n - 2)*(n - 1)*(n + 1)**2 Let s(f) = -3*f**5 + 10*f**4 + 8*f**3 - 10*f**2 - 9*f. Let w(k) = 9*k**5 - 29*k**4 - 25*k**3 + 29*k**2 + 27*k. Let i(j) = 11*s(j) + 4*w(j). Factor i(a). 3*a*(a - 3)*(a - 1)*(a + 1)**2 Let c(q) = 2*q**2 + 7*q - 2. Let u be c(-5). Suppose -3*p + u = 7. Factor 0 - 1/3*i**p + 0*i + 1/3*i**3. i**2*(i - 1)/3 Find o such that -o**2 + 3*o**2 + o**3 - 1 - o**2 - o = 0. -1, 1 Let s = 93/194 + 2/97. Suppose 4*z = -15 - 5, k - 5*z - 25 = 0. Solve -s*p + 1/2*p**3 + k*p**2 + 0 = 0. -1, 0, 1 Let z(k) be the first derivative of k**4/24 - 2*k**3/9 + k**2/3 - 21. Factor z(x). x*(x - 2)**2/6 Let j(m) be the second derivative of m**5/150 + m**4/20 + 2*m**3/15 + m**2/2 - 2*m. Let a(z) be the first derivative of j(z). Factor a(t). 2*(t + 1)*(t + 2)/5 Find f such that 3*f**4 + 0 + 0*f**2 + 0*f + 3/2*f**3 + 3/2*f**5 = 0. -1, 0 Let k(l) = -l - 12. Let c be k(-6). Let j be (2/14*c)/(-2). Find x, given that -1/7*x**2 - 2/7 + j*x = 0. 1, 2 Let j(q) be the third derivative of q**7/7560 + q**6/540 + q**5/90 - q**4/12 - 2*q**2. Let t(n) be the second derivative of j(n). Solve t(d) = 0 for d. -2 Let z(g) be the third derivative of 0*g*
{ "pile_set_name": "DM Mathematics" }
0 = -6*k - 101 + 485. Suppose -73*o = -k*o. Are 6/313 and o equal? False Let v(q) be the first derivative of -q**2 + 13*q - 23. Let g be v(3). Suppose -g*y + 7 = -3*y - 3*k, -2*k = -2*y + 2. Which is smaller: y or 24/5? y Let o = 15873 - 15875. Is o >= 1358? False Let u be 27/(-63) - ((-6203)/14539 - 0/(-4)). Is 1 <= u? False Let m = 4510 - 4511. Is m <= -75/46? False Let h be -27*(-2)/144 - (-314)/16. Let k be (h/(5 + -1))/(-1) + -76. Which is smaller: -82 or k? -82 Suppose -52*i - 6*i = -290. Suppose -36*q = 22*q + i*q. Let f be 1 - 0 - 108/106. Which is bigger: q or f? q Let h be (-7)/4*(-6)/81. Let p = h + 167/378. Let n = -10213.2 - -10213. Do p and n have different values? True Suppose -146*t = -152*t - 456. Let m be (11/(-22))/(14/t). Which is greater: -0.3 or m? m Suppose 32*w = 12*w + 60. Suppose 3*g = 2*l + 6, l - w*g + 4*g = 2. Which is greater: 2/9 or l? 2/9 Let k(n) = 24 + 1099*n - 549*n - 551*n. Let l be k(-23). Which is smaller: l or 48? l Let o(i) = 544*i**3 + 9*i**2 + 13*i + 6. Let g be o(-1). Which is bigger: g or -543? g Let w(j) = j**2 - 102*j - 7 - 98*j + 202*j. Let t be w(-3). Is t less than -4? False Let w be 5684/18 - 4/(-18). Suppose 21*u - 2*f = 17*u + 1238, -5*u + 5*f = -1510. Is u less than w? False Let f(a) = -a - 3. Let r be f(-8). Suppose -4*t = r*k - 2*t + 500, -4*k + t = 413. Let q = -144 - k. Is q greater than or equal to -42? True Suppose 1542*x - 5121 = 1545*x. Are x and -1705 nonequal? True Let y be 22/308*(-14)/(-4). Let a(z) = z**3 + z**2 + z - 1. Let w(t) = 4*t**3 - 2*t + 2. Let j(f) = 3*a(f) - w(f). Let m be j(4). Which is smaller: y or m? m Let t be -1*2*29976/80. Let x = t + 262289/350. Which is bigger: x or -1? x Let q = -10078 - -171324/17. Is q <= 7/11? True Let a be 10/(-90) - (-125)/(-9). Let g be 6/a - 3556/49. Which is greater: -70 or g? -70 Let k(f) = f**3 - 10*f**2 + 17*f + 3. Suppose -43 + 85 = 7*g. Let l be k(g). Is l at most as big as -39? True Let i(w) = w**3 + 17*w**2 + 7*w + 131. Let y be i(-17). Suppose 0*b + 3*b - 3*r - 39 = 0, -y = 4*r. Which is bigger: b or 44/5? b Let x = 2200/1538511 + -1/8034. Which is bigger: 1 or x? 1 Let x be (231/9 + -27)*(-716 - 1). Which is bigger: 1913/2 or x? 1913/2 Let g = 25365 + -25373. Suppose 0 = 4*m + 4*l - 12, 33 = m + 2*m - 3*l. Is g bigger than m? False Let y(p) = p**2 + 19*p + 25. Let d be y(-30). Let o = -317 + d. Which is smaller: 112/3 or o? 112/3 Let m = -466 + -124. Let p = m - -591. Is p greater than -9.8? True Let i(l) = 202*l**2 + 13*l + 72. Let b be i(-4). Let y = -74808/23 + b. Is y <= -2? False Suppose t + 26337 = 4*u + 87338, 7*u = t - 106754. Which is smaller: -15252 or u? -15252 Let j = 72 + -208. Let g = j - -137. Which is greater: 2/55 or g? g Let c = -7031 + 7060. Which is greater: c or 372? 372 Let c = 0.105 + -354.105. Let j = c + 354.1. Is -22 less than or equal to j? True Let f = 655 - 655. Let c be -16826*(-5)/16830 + -5. Do f and c have different values? True Let a = -4454.89 - -4633. Let r = -1.89 - a. Let y = 92 + r. Is 1 <= y? False Let a = -13 + 15. Let w be (6 - a) + -1 + 1. Let j = 295 - 296. Is j less than or equal to w? True Let z be ((-1)/(-3))/(2/6). Let u be (134/60 - z/(-6))*5. Suppose -4*p + 0*f = 2*f, 4*p = 4*f - u. Is p at least as big as -1? True Let s = -18272052227/69 - -264807785. Let y = s + 4566. Are 0 and y equal? False Suppose -q - p + 9 = 103, 3*p + 90 = -q. Which is smaller: q or -12? q Let q = 4457503/5957 - 5238/7. Do q and 0 have the same value? False Let s = -106 - -107. Let r be 10/(-35) - ((-33)/91)/s. Let v be -2 + 1*(3 + 0). Is r <= v? True Let b be (15/(-6))/(-5)*(-8 - -4). Let y = -45 - -77. Let n be 3 + 62*(-2)/y. Which is smaller: b or n? b Let n = 39/11 - 2312/649. Let x = -192 + 614. Let j = x + -422. Is n greater than or equal to j? False Suppose 5 = b + 3. Suppose -25 = 17*p - 93. Let n be p*-3*b*(-17)/24. Which is bigger: n or 14? n Let v = 39.002 + -0.002. Let u = 38.74 - v. Let s = 0.56 + u. Is s bigger than -2/19? True Let t = -19 + -13. Let d be 119*(-3)/(-27) + -15 - -2. Which is smaller: d or t? t Suppose 4*i - 2 = -2*y + 4*y, -y = -4*i + 3. Is 7/221 less than or equal to y? True Suppose -3*d = n + 64, 296 = -4*n - 2*d + 20. Let p be (24/(-84) - (-46)/(-35))*n. Which is smaller: 1 or p? 1 Let l = 167101/2274 - 120/379. Which is smaller: l or 73? 73 Suppose 2*k - 44 - 137 = w, 2*k = -8. Let n = w - -565/3. Which is smaller: -31 or n? -31 Let k be (12 - 280/24) + 2842/6. Let d be 7 + (7 - 6612/k). Which is smaller: -1 or d? -1 Let r = 245619/53159 + -273/59. Is r > 0? False Suppose 3*c - 2*h + 18 = 0, 4*h - 15 - 5 = 4*c. Let g be (-2*1/4)/(c/176). Suppose -7 = -r - 4*k, -2*r - 15 + g = -k. Which is smaller: 5/28 or r? r Suppose 242*a + 253*a - 24500 = 145*a. Is a > 92? False Let r(h) = -h**3 + 15*h**2 + 19*h - 21. Let k be r(16). Let f be 1/(-3)*k/(-3). Suppose u - f*m + 8 = 0, u + m + m + 8 = 0. Which is bigger: u or -1? -1 Let b = -7067/603440 + -9/1520. Are -1 and b nonequal? True Let x = -11.776 - 3.624. Which is smaller: 3 or x? x Let p(x) = -x**3 - x**2 + 3. Suppose 0 = -r - 2*i - 8, 0*i - 4 = r + i. Let b be p(r). Suppose 3 - 6 = -b*q. Are -1/10 and q non-equal? True Let y = 235 - 233. Suppose y*b + 3*b = -3*b. Is b not equal to 1/91? True Let s = -22723.2 - -22723. Let i = -217 - -137. Which is smaller: s or i? i Let x(s) = s**2 - 56*s + 776. Let v be x(23). Let k = 60 + -17. Let w = -26 + k. Is w greater than or equal to v? True Let r = 120.99618 - 0.05618. Let g = r - 121. Which is greater: 1/24 or g? 1/24 Let v be 23*(1 + 0) - 0. Let c(o) = o**2 - 20*o - 98. Let u be c(v). Let m = 76 + -107. Which is smaller: m or u? m Let x(y) = -2*y**2 - 65*y - 89. Let w be x(-31). Let a be 292/(-22) + -2 + 2 + w. Is a at most -10? False Let m(p) = -2 - 12 + p**2 - 52*p + 47*p. Suppose 0*s = -3*s, -5*q + 35 = -s. Let r be m(q). Is -1 at most r? True Let b(x) = x**2 - 9*x + 4. Let w be b(9). Suppose -t - s = -2*s - 6, 2*s + 20 = w*t. Suppose 4*y = -5*k - 3, t*y + 0 + 5 = -3*k. Which is bigger: k or 2/67? k Let w = 791943/11 - 71806. Which is smaller: 190 or w? w Suppose 4*g - 104 = -22*g. Let b(p) = -3*p + 12. Let j be b(g). Which is bigger: -1/5 or j? j Suppose -4*s - 6 = -7*s. Suppose 0 = h + 10 - 10. Let m be 112/96*(h + (-9)/(-14)). Is s at least as big as m? True Let y(t) = t**3 + 6*t**2 - 20*t + 18. Let f be y(-15). Is f <= -5125/3? False Let d be 2/(-10) + (1387 - -149). Which is greater: d or -2? d Suppose 2*y - 699 = 4059. Is y bigger than 2380? False Let w = -550.07 - -551.3. Which is smaller: 1/3 or w? 1/3 Let k be (-6)/(-51)*1 + 931/323. Suppose 7 = -r + k*f, -4*r - 22 - 45 = f. Which is greater: r or -10? -10 Let o = -5895.2 + 5368. Let y = o + 527. Which is greater: -0.7 or y? y Let f = -7269 + 7218. Which is bigger: f or -62? f Suppose w - 18 - 14 = 0. Suppose 1455 - 9866 = 13*z. Let s = z + 678. Which is bigger: s or w? w Let n = -0.011 - -7.261. Let a = 7 + n. Let s = a - 0.25. Is s less than or equal to -1/3? False Let f = 451 - 9469/21. Let r(h) = -27*h - 297. Let g be r(-11). Is g greater than or equal to f? False Suppose z - 51 = -2*d, -3*d + 66 = 4*z + 2. Let h be (-6)/d*(-60)/(-45). Which is smaller: h or -88? -88 Suppose -2*q + 2*i - 117 = -3*i, -3*i + 127 = -2*q. Let c = -72 - q. Which is smaller: c or -1/125? c Let f be 2*94/(-12) + -2. Let p be -7*(1672/(-133) - -15). Which is bigger: p or f? p Let n(l) = -311*l**2 - 487*l + 1473. Let a be n(3). Which is greater: a or -2786? -2786 Let a be ((-273)/(-7))/(3/(-4)). Let z = 57 + a. Let r be 2/z + 3*4/(-48). Is 0 != r? True Let n = 15061.38 + -15062. Which is smaller: n or -2/3? -2/3 Suppose -4*z = 5*s - 27, 3*s = 2 + 7. Suppose d - 10 = -z*n, -2*d - 3 = -5*n - 1. Suppose -3*o + 17 = -n*v, -2*o - 4*v = -v + 6. Which is bigger: o or 11/5? o Let s = -144.784 - -6.784. Which is greater: s or -2/59? -2/59 Let t = 19408 - 26379. Which is smaller: -6969 or t? t Let q(k) = k**3 - 12*k**2 + 18*k - 31. Let x be q(11). Which is smaller: x or 645/14? x Suppose 4*o - 80 = -4*j, -2*j + 1 + 14 = -3*o. Let i(x) = -x**2 + 18*x - 43. Let h be i(j). Is h equal to -22? False Let q = 67/13 + -807/91. Let k = -69 - -44. Let z = 22 + k. Which is smaller: q or z? q Let t = 2906 + -3094. Let p = -133 - -277. Let u = p + t. Whic
{ "pile_set_name": "DM Mathematics" }
3))**(24/11) assuming x is positive. x**(72/143) Simplify ((f/(f/f**(-8)))/f**2)/((f/(f*f/(f*(f/(f/f**8*f))/f*f*f)))/(f**(-10)*f)) assuming f is positive. f**(-27) Simplify (m*m**5)**(7/2)/(((m/(m*m**(-22/7)))/m)/m)**13 assuming m is positive. m**(43/7) Simplify (v**(-1/9)*v)/(v/(v*v**(2/7)*v*v*v))*(v**(-9)/v)**(-7) assuming v is positive. v**(4673/63) Simplify o*o**(-3/7)*o**(7/3)*(o**(-3))**45 assuming o is positive. o**(-2774/21) Simplify (k**(-8)/k*k*(k/k**40)/k)**(-2) assuming k is positive. k**96 Simplify (n**(-4/3)/(n*(n**7*n)/n*n*n))/((n*n**(2/39)/n*n)/n*n*n/n**(-3/14)) assuming n is positive. n**(-2475/182) Simplify (n**4*n)**(-28/5)*(n**(2/13))**(-48) assuming n is positive. n**(-460/13) Simplify ((n**(2/13))**(1/72))**(-1/3) assuming n is positive. n**(-1/1404) Simplify (l**(-1/7))**(-4/13)/((l*l/(l**10/l))/l**(-12)) assuming l is positive. l**(-451/91) Simplify ((w**(-8)*w/(w/(w*w**(-10/9))))/((w/w**(-5))/w*w/w**(-2)*w))**(-41) assuming w is positive. w**(6314/9) Simplify ((p/(p*p**1))/p)**45/(p**(4/13)/(((p*p/p**(-4)*p*p)/p)/p*p)) assuming p is positive. p**(-1083/13) Simplify ((l*l*l*l*l/(l**(-12)*l))/(l*l*l**(-9)))/(((l*l**(-12))/l)/(l/(l**(-1/18)/l))) assuming l is positive. l**(667/18) Simplify (z*z**(-8)*z*z**(-14)/z*z*z)/((z*z**(1/24))/(z**(-1/2)/z)) assuming z is positive. z**(-517/24) Simplify (b**(5/6)*b**(1/8))/(b**(-6/17))**(-26/9) assuming b is positive. b**(-25/408) Simplify (u**13*u)/u*u**(1/4)*(u*u**2*u)/(((((u*(u*(u**(-3)*u)/u*u)/u*u)/u)/u)/u)/u*u) assuming u is positive. u**(81/4) Simplify ((((n**(-2/5)*n)/n*n)/n)**34/(n**(-3)/(n*n**1)))**37 assuming n is positive. n**(-1591/5) Simplify (o/(o*o**19/o))/o**(-9/5)*(o/(o/o**(-6)))/((o**(2/7)/o)/o) assuming o is positive. o**(-717/35) Simplify (a**(-10)*a*a/a**(-6/11)*a)/(a**(-3/4))**10 assuming a is positive. a**(23/22) Simplify ((((u**(-3/2)*u)/u)/(u/(u/(u/((u/u**(1/4))/u)))))/((u/(u*(((u/u**(-6))/u)/u)/u*u))/(u*u*u**1/u*u*u)))**(-1) assuming u is positive. u**(-25/4) Simplify (m**35/m**(-2/33))**(-1/10) assuming m is positive. m**(-1157/330) Simplify ((h*h*(h*h*h*h*h**(-9))/h*(h/((h*h/h**3)/h))/h)**(42/11))**(-10/9) assuming h is positive. h**(280/33) Simplify (z**(-3/2))**30*(z/(z*z*z*z**(-1/5)*z*z*z))/(z/(z/(z**2/z*z*z))) assuming z is positive. z**(-264/5) Simplify (j/j**(1/5)*j**(-1/17))/((j/(j*(j*j**(2/7))/j*j)*j)/(j*j/(j/j**(8/7)))) assuming j is positive. j**(1886/595) Simplify ((l**(-2/9)/l)/l**(-18))**(-24) assuming l is positive. l**(-1208/3) Simplify ((g/g**11)/g**(-11))/(g**(7/5)/(g*g**(-3/7)*g*g)) assuming g is positive. g**(76/35) Simplify (m*m**(-12))/(m*m**14)*m**3*m**(-11)/m assuming m is positive. m**(-35) Simplify a**(-1)/(a*(a/(a/(a*a**(-9/4))*a*a))/a*a)*(a*a*a*a*(a/(a*a*a**(-2/23)*a))/a*a)**8 assuming a is positive. a**(1651/92) Simplify f/(f/(f*f**(-6)))*f**(-20)*(f/(f*(f*f/(f*f**0))/f*f))/f**(-1) assuming f is positive. f**(-25) Simplify ((k/(k*k**(-1))*k**(1/4))**(-9))**(-45) assuming k is positive. k**(2025/4) Simplify m/m**(2/23)*m**(-16)*m**(15/7)*m*m/(m**12/m) assuming m is positive. m**(-3533/161) Simplify (r**(-8)*r*r*r**(-1/6))/(r/(r*r/((r**(1/6)/r)/r)*r)*r**(-7)) assuming r is positive. r**(14/3) Simplify (x/x**(2/31)*x*x*x**(-13))/((x/(x*x*x*x**0*x)*x)/x)**(-28) assuming x is positive. x**(-2916/31) Simplify ((k/(k/(k*(k**8*k)/k)*k*k)*k/((k**(5/3)*k)/k))/(k*k**(-8)*k**8))**(3/8) assuming k is positive. k**2 Simplify (((t/(t*t/(t/((t*t*t/(t/t**(2/33))*t)/t*t*t)*t)))**(4/17))**41)**(-10) assuming t is positive. t**(165640/561) Simplify (j/(j/(j/j**(-3/7)*j))*j**(-11/5))/(j*j**(-2/85)*j*j**(-7/3)) assuming j is positive. j**(209/357) Simplify h**(4/9)*h**(-8)*h**(-5)*h*h**(-5/7)*h assuming h is positive. h**(-710/63) Simplify (s*s/s**5*s**(13/3)*s)/(s/(s/(s*s**10/s)))**(16/3) assuming s is positive. s**(-51) Simplify ((i/((i**13/i)/i*i))/(i**(2/7)/i))/(i**(-4)/i)**(2/3) assuming i is positive. i**(-146/21) Simplify (o*o**(-7))**34/((o/(o*o/o**(-17/5)))/o**(-5)) assuming o is positive. o**(-1023/5) Simplify (l/l**(-1/8)*l*l/l**(2/23)*l)/((l/(l**(1/3)*l))/(l*l/l**(1/39)*l)) assuming l is positive. l**(17571/2392) Simplify ((((r/(r*r**(1/2)))/r)/(r/r**(2/5)))/(r*((r*r**(2/3))/r)/r)**39)**(8/3) assuming r is positive. r**(-1124/15) Simplify ((x*x**(-1/3))**(-2/29)*x**7/x*((x*x**6*x)/x)/x)**29 assuming x is positive. x**(1040/3) Simplify (g**0)**(-3/17)*g**(4/15)*g*g**(6/7) assuming g is positive. g**(223/105) Simplify (b/b**1)**11/(b**(8/9)/b*b*b/b**(9/4)*b*b) assuming b is positive. b**(-59/36) Simplify (s**3)**(-10/7)*((s*(s/(s*(s/s**(-4/3))/s))/s)/s)/(s*s*s**(-9)) assuming s is positive. s**(8/21) Simplify p**(-12)*p/(p**(1/5)*p*p)*p*p*p**(-3/13)*p**(-2/11) assuming p is positive. p**(-8303/715) Simplify (z/(z*z/(z/z**(-1/11))))/z**(25/2)*((z**(-1/3)/z*z)/z)/z*z/(z/(z**(-10)*z)) assuming z is positive. z**(-1567/66) Simplify (t**(1/9)*t)/(t*t/t**(-13))*t**8/(t**(11/2)/t) assuming t is positive. t**(-187/18) Simplify ((b*b*b**7*b)/b*b*b**2/b)/(b/(b*b**(-2/39))*b*b**(-8)*b) assuming b is positive. b**(661/39) Simplify (g**5*g*g*g**10)/(g*g**(-2/19)*g*g)**(3/40) assuming g is positive. g**(2551/152) Simplify (i**(-13))**1/(i*i*i/((i/((i/(i*i**(1/3)))/i))/i))**(-1/6) assuming i is positive. i**(-229/18) Simplify h**8*h/h**25*h**10/h*h**(-1/2) assuming h is positive. h**(-15/2) Simplify ((v/v**(1/12)*(v/(v**13*v))/v)/((v*v*v**9*v)/v*v**(-8)))**(10/7) assuming v is positive. v**(-965/42) Simplify k**(-13/3)/k**(-9/4)*(k**(-7/4))**(20/9) assuming k is positive. k**(-215/36) Simplify ((v*v**1*v*v)/((v/v**(1/23))/v))/(v/(v*v**(-1))*v*(v**(-6/5)/v)/v*v*v) assuming v is positive. v**(373/115) Simplify s**(1/2)/(s*s*(s**(-16)*s)/s*s)*(s*s**16)/(s*s/s**(-3/10)) assuming s is positive. s**(141/5) Simplify ((k*k**(4/3))/k)**(-1/9)/(k**5*k**(-1/5)) assuming k is positive. k**(-668/135) Simplify ((p/(p/(p/p**2)))/p**(-23))**(-2/47) assuming p is positive. p**(-44/47) Simplify ((f/f**(-19))/f)**22*f**(14/5)*f*f*(f*((f*f**(5/3))/f)/f)/f assuming f is positive. f**(6352/15) Simplify ((t/(t**(-13/5)*t))/(t*t/(t*t/t**(2/5))*t))**(3/22) assuming t is positive. t**(9/55) Simplify (h*(h/(h**(-2/33)*h))/h)**(-15/4)/(h**16/h**(-12)) assuming h is positive. h**(-621/22) Simplify (y*y**(-7)*y)/y*(y/((y/(y**(-21)*y))/y*y*y*y))/y*y**(2/3)/y*y**(-28/3)/y assuming y is positive. y**(-119/3) Simplify (t/(t/((t/(t/(t*t**(-2)*t)*t))/t)*t*t))**50/(t**(1/6))**(-14/9) assuming t is positive. t**(-5393/27) Simplify ((s**(-3)*s*((s*s*s**(-2/15)*s)/s*s*s)/s)**(4/7))**(-1/77) assuming s is positive. s**(-52/8085) Simplify (n/n**(-8)*n*n**(1/18))**(-34) assuming n is positive. n**(-3077/9) Simplify (((i/i**1*i)/i)**(1/5)*i*i**(-2/7)*i/(i*i**(-1/2)*i)*i)**15 assuming i is positive. i**(255/14) Simplify (i**(7/5)/i)/((i*i**(-1/7)*i)/i)*i*(i/(i*i/(i*i**10)))/i*i*(i/(i/((i*i/(i/i**(-6)))/i)))/i assuming i is positive. i**(124/35) Simplify (q*q**6*q*q*q**0*q**3*q*q/(q/q**(-2)))**(7/3) assuming q is positive. q**(77/3) Simplify (t*t/((t**12*t)/t*t)*t)/(t*t**0*t*t)*(t**(4/5))**(4/41) assuming t is positive. t**(-2649/205) Simplify ((m**1/m*m)/m*m)**(-30)*(m*m**(1/3))**(-25) assuming m is positive. m**(-190/3) Simplify ((g*g*g/g**22*g*g)**21)**(13/4) assuming g is positive. g**(-4641/4) Simplify h**(-1/3)*h*h*h**3*h*h**(-3/4)*(h*h*h/(h/(h*h**(-8)*h)))/h assuming h is positive. h**(-1/12) Simplify (((o**(-8)*o)/o**(-3/5))**(14/9))**(-38) assuming o is positive. o**(17024/45) Simplify ((v**(-7/5)/v*v**(6/11))/(v*v**(-3/7)*v**(-1/6)))**(-41) assuming v is positive. v**(213979/2310) Simplify ((j/((j/((j**10*j)/j))/j))/j)/(j**23/j)*(j*((j*j**0*j)/j)/j)/(j/((j/(j**10/j))/j)*j*j*j) assuming j is positive. j**(-24) Simplify i*i/i**(-22)*(i**7/i*i)/i*i**(-13/4)*i*(i*i/(i*i/i**(-8/3)*i))/i assuming i is positive. i**(277/12) Simplify ((m*m/(m**(-1/8)*m))/m**(2/49))/(m**(-7/3)*m**12/m) assuming m is positive. m**(-8917/1176) Simplify (w**(-3))**6*((w**(-2/3)/w)/w)**(-12) assuming w is positive. w**14 Simplify (((r*r**(2/5))**(-34))**(-17))**45 assuming r is positive. r**36414 Simplify ((l*l/(l/((l**(-4/11)/l)/l)))/(l/(l/((l/l**10)/l))))/((l**(-7/2)*l)/(l/(l/(l*l*l**(-13)))*l)) assuming l is positive. l**(25/22) Simplify ((((w*w*w**(-8/3)/w)/w)/w)/w**7)/(w**(-3/7)/w*w*w*w**(-2/33)) assuming w i
{ "pile_set_name": "DM Mathematics" }
89. Let l = -785 + 1339. Let a = l - s. Is a prime? False Suppose -30*i + 43 = -47. Suppose 0 = -v + i*a + 2377, -6*v + 2*v + 9494 = -5*a. Is v a composite number? False Suppose 0 = -6*t + 3*t - 3*t + 938148. Is t a prime number? False Suppose -12*j - 6 = -14*j. Suppose 0*v = j*v - 3126. Is v composite? True Suppose 3*w = -4*g - 497, -4*g = w - 195 + 686. Let p = g - -290. Let j = 311 - p. Is j a composite number? True Let u(n) = -8*n**3 - 11*n**2 + 27*n + 7. Is u(-6) prime? False Suppose 57983 = o - p, 310014 - 78110 = 4*o + 3*p. Is o a prime number? False Suppose -12*j = -8*j - 8. Let t be ((-221)/26)/(j/(-28)). Let u = t + 378. Is u prime? False Is 9390122/13 + (-40)/520 a prime number? True Suppose -11 = 3*n - m - 41, 0 = 3*n + 4*m - 15. Suppose 9 = 3*q, -2*u + 4*q - n*q - 3941 = 0. Let a = 3227 + u. Is a composite? False Let n be -1*(1/(-1) + 1). Suppose j - 134 = -n*j. Let a = 279 - j. Is a a prime number? False Let g(s) = -237*s - 49. Let k = 85 - 56. Suppose 0*t = -3*t - 3*d - 21, -3*d - k = 4*t. Is g(t) a prime number? True Let p(r) = -r**2 - 2*r + 2. Let b be p(0). Is 7237 + (b - (30/5)/3) composite? False Suppose 0 = -3*p, 0*l = -5*l - 3*p + 10. Suppose -10*j - 1221 = -12*j - s, l*j = 2*s + 1236. Is j a composite number? False Let c be (-4 + (5 - 4))*(-26)/(-3). Suppose 4*v = 5*v + 78. Is (-18048)/c + (-3)/(v/(-4)) composite? True Let u = -36 + 13. Let a(s) = 33*s**2 + s**3 + 3*s + 24*s - 7*s**2 - 11 + 0*s**2. Is a(u) a prime number? False Suppose -2 = 12*q - 110. Is 48560/144 + (-2)/q prime? True Is (-118)/(-4)*(-14 + 21 + 2511) prime? False Suppose 25752 = -4*q + 12*q. Suppose b = q + 620. Is b a composite number? True Suppose 13*a - 95*a + 1164154 = 0. Is a a composite number? False Suppose 46373 + 65591 = 2*x - 5*n, 3*x - 4*n - 167974 = 0. Is x prime? False Suppose 4 = -7*g + 3*g + 4*t, -g + 3*t = 11. Suppose -g*c + 6340 = 1644. Let b = c - 257. Is b a composite number? True Suppose -4*p - 3*f - 295 = 0, 2*f = -5*p - 2*f - 370. Let g = -65 - p. Suppose -2*h + m + 6185 = -2206, 20940 = g*h + 5*m. Is h a prime number? False Suppose 5*v + k = 4*v + 5, -5*v - 4*k = -20. Suppose 2*o - 10 = -3*q, -4*o = -q - v*q - 20. Suppose 3*w - 3*x - 264 = q, x - 2 + 1 = 0. Is w a prime number? True Suppose -4*u + 63933 = f, -2*f = -3*u + 7*u - 127846. Is f composite? False Let v be (-96)/160*220/(-6). Is (23 - v) + (0 - -1136) composite? True Let c(b) = -b**2 + 11*b + 23. Let p be c(22). Let i = -125 - p. Let r = i - 43. Is r a prime number? False Suppose 2*v + 53 = 125. Suppose -v*j + 46*j - 38990 = 0. Is j a prime number? False Suppose -39*u = -184*u - 2676924 + 31180879. Is u prime? True Suppose -4*h = -s - 823, -2*h - 67 = -5*s - 456. Let b be 46/h + (-6091)/(-9). Suppose -i - 3*n = -b, 4*i + 4*n = 3*i + 673. Is i composite? True Let x(l) be the first derivative of l**3/3 + 3*l**2/2 - 8*l + 1. Let f be x(-5). Suppose -f*h - 5*h = -105. Is h a prime number? False Suppose 0 = -24*i + 4559 + 36145. Is (i/(-80))/(6/(-195)) a composite number? True Let l(h) = 45*h**3 + 48*h**2 + 9*h - 23. Is l(7) a prime number? True Let j be (5 + 510 + -1)/((-4)/(-14)). Suppose -3*n = -3, 5*m - j = -5*n + n. Is m a prime number? True Let c = 16 - 14. Let y be (-10)/c*(-7 - 41/(-5)). Is (7071/12 + y)*4*1 prime? True Let a = 2503 + 193. Let o = 9 + a. Is o a composite number? True Suppose 79 + 177 = 2*o. Suppose o*x - 130*x + 22652 = 0. Suppose 1431 = -5*u + x. Is u a composite number? False Suppose 2*i + 8 = 0, -5*h - 3*i = -2325881 - 957462. Is h prime? True Let d = 239357 - 86712. Is d composite? True Let m(t) = t**2 - 15*t + 46. Let k be m(13). Suppose -27*n = -k*n - 2863. Is n prime? True Let a(c) = -2*c**2 - 9*c + 5. Let y be a(-5). Suppose 3*q - 4*o - 22 - 22 = y, 4*q - 3*o = 47. Suppose -342 + 1038 = q*t. Is t a composite number? True Suppose 7*b + 365 + 111 = 0. Let r = 46 + b. Is 4/22 + (-14098)/r a prime number? True Let r be 11864/4 + (-4)/(-1). Suppose g - 210 - r = 0. Let k = -1231 + g. Is k composite? False Suppose -18 = 3*r - 54. Suppose -5*t = -f, 0*f + 4*t - r = 2*f. Is (-5)/((-125)/2230) + 2/f prime? True Suppose 5*o + 3 = -3*q + 2*o, -2*q = 5*o + 11. Suppose -24 = 4*k - 8, k - 7434 = -q*w. Is w composite? False Let j be 2291/3 - (-2)/6. Let s be (38/(-10))/(62/(-52390)). Suppose 3*h - s = -4*f, -j = -3*h + 5*f + 2465. Is h composite? True Let p be 3/(0 + -12) - (-121)/(-44). Let n be ((-7578)/(-15))/p - 12/(-30). Let q = n - -1009. Is q prime? False Let d = 116759 - 77820. Is d composite? True Let x(m) = m**2 - 10*m + 31. Let f be x(7). Suppose f*a = -11*a + 536823. Is a prime? False Suppose -2*s - 10 = -2*d, -5*d + 3*s - 7*s - 2 = 0. Suppose -5*t = -2*t - d*c - 10437, 4*c - 12 = 0. Is t prime? False Let n = 271921 + -127688. Is n a prime number? False Is ((2/9)/(-1))/((-2)/(-3))*-1879431 prime? True Let a(t) = 1243*t + 278. Is a(15) a composite number? True Let o = 1896 - 266. Let u(h) = 46*h - 41. Let x be u(19). Let q = o - x. Is q prime? True Suppose 21595*g - 6251495 = 21578*g. Is g a composite number? True Let k = 145 + -140. Suppose k*t + 9*s = 14*s + 14215, -4*t + 11396 = 4*s. Is t a prime number? False Let g = 28 - 41. Let s be g/(-3) - (-1)/(-12)*4. Suppose -t - 3*c = -s*t + 11421, 19019 = 5*t + 3*c. Is t prime? False Suppose 125*l - 16104840 - 11119333 = -42*l. Is l prime? True Is (5*19159568/(-40))/(-2) - (2 + 4) a composite number? False Suppose -8*d = -23*d - 120. Let g(w) = 3*w**2 - 10*w - 49. Is g(d) a composite number? False Let h be (-15)/(-6) - (-4 + 21/6). Suppose 2*l - h*l + 129 = 0. Let s = l - 58. Is s a prime number? True Let m = -10 + 6. Is (-3 - m)/(((-2)/7926)/(-1)) composite? True Let o(k) = 2243*k - 1744. Is o(85) prime? True Let w = 1047 - -8042. Let k = -5940 + w. Is k a prime number? False Let r(v) = 49727*v - 1332. Is r(13) a composite number? True Let y(q) = 1690*q**2 - 89*q - 205. Is y(6) a composite number? False Suppose 422006 = 4*v - 910902. Is v prime? True Let k(p) be the first derivative of 4*p**4 + 4*p**3/3 + 4*p**2 + 46*p - 262. Is k(11) a composite number? True Suppose -h = -2, -2*h + 21237 = 2*g - 10615. Let w = g + 12589. Is w prime? True Let w = 105 - 107. Let b be (3 + -4)*(w - -1). Is (b*337)/(2/2) a composite number? False Let x = -86928 - -144757. Is x composite? False Let c = -922592 - -1619083. Is c a prime number? True Suppose 18*b = 12*b + 19098. Suppose 5*r = -i - b, -645 = r - 0*r + 3*i. Let g = 19 - r. Is g a composite number? True Let n be -2*1/(-6)*3. Let u be (-14)/(-2) + 8/8 + n. Suppose -u*o + 2430 = -2061. Is o composite? False Is (-4876602)/(-17) + (-15 - 8704/(-578)) a composite number? False Suppose -2*m - 58 - 12 = 0. Let q = m - -195. Let a = 254 - q. Is a a composite number? True Let c = 731 - 738. Let t(a) = a**3 - 14*a**2 + 2*a + 14. Let v(l) = l**3 + l**2 - l + 1. Let n(f) = -t(f) + 2*v(f). Is n(c) composite? False Let z be (-3)/12 - (-2826)/8. Suppose -12*k - 3264 = -44*k. Let l = z - k. Is l a prime number? True Suppose 3*a - 31733 = -p, 27*a = 29*a - 2*p - 21150. Let i = a - -15564. Is i a composite number? False Let a(o) = -o**3 + 10*o**2 - 9*o + 1. Let z = 9 + -8. Let u be z + 2 - (-1 - 3). Is a(u) a composite number? True Let y be (1/(-2))/(4*5/(-93200)). Let v = 11327 - y. Is v composite? True Let v(t) = -2*t**2 - 17 + 7*t + 33*t - 3*t + 1. Let j be v(18). Suppose 5*y - 1259 = -j*q, -3*q - 751 = -3*y - 2*q. Is y a prime number? True Let c(b) = -22*b + 3. Let i(k) = 0*k + 0*k**2 - k**2 - 4*k - 9 - 6*k. Let f be i(-10). Is c(f) a prime number? False Suppose -q - 16 = -5*q, 0 = -5*h + 3*q + 4073. Suppose -483 = 3*k - 7*j + 4*j, 5*k + h = -j. Is 1 + -4 - (k + 5 + -3) prime? False Let p(l) = -1137*l**2 + 4*l - 2. Let s(g) = -2276*g**2 + 7*g - 2. Let v(k) = -5*p(k) + 2*s(k). Is v(-3) prime? False Let b(r) = -r**2 + 86*r - 774. Let p be b(10). Let x(k) = -8 - 119*k - 32 - 8. Is x(p) composite? True Suppose 7*z = -7*z. Suppose 2*h + z*h + 8*h = 0. Suppose -6*j - 107 + 815 = h. Is j prime? False Let n(l) = -l**2 - 4*l - 3. Let u(s) = -2*s**2 - 7*s - 5. Suppose -4*v - 17 - 7 = 0. Let w(f) = v*u(f) + 13*n(f). Is w(-8) prime? True Let t be (-1 - 18) + -15*6/(-30). Let i(m) = 4*m**2 + 2*m + 81. Is i(t) a composite number? True Suppose 3406121 = 5*c - 4*x, 330*c - 325*c = 2*x
{ "pile_set_name": "DM Mathematics" }
+ 16 = 0. Suppose o*f - 46 + 16 = 0. Calculate the greatest common divisor of 9 and f. 3 Let m(o) = -15*o**3 + o**2. Let q(y) = y**2 + 7*y - 9. Let k be q(-8). Let l be m(k). Calculate the highest common divisor of l and 16. 16 Let g(p) be the first derivative of p**4/4 - p**3/3 - 9*p**2/2 + 14*p - 2. Let u be g(6). What is the highest common divisor of u and 56? 28 Let z be (-3 - -2)*(-22 - -1). Suppose -4*u = -4*d - 328, 4*u - d - 326 = 4*d. Suppose -u = -5*h + h. Calculate the greatest common factor of z and h. 21 Let r(z) = z - 16. Let d be r(12). Let b be ((-2)/d - 0)*14. Calculate the highest common divisor of b and 1. 1 Suppose 0 = -0*j - 2*j. Let t be 2 + (j - (2 - 11)). Suppose 0 = -5*o + 4 + t. Calculate the greatest common factor of o and 3. 3 Suppose 0 = 3*t - 5*f - 300, 5*t - 334 - 166 = -3*f. Suppose -5*v + t = -v. Suppose -v = -2*w - 7. Calculate the highest common factor of w and 9. 9 Suppose -t + 0*t = 0. Suppose 0 = -t*d + d - 6. What is the highest common factor of 4 and d? 2 Suppose -4*t = -9*t + 30. Let r be 358/t + 5/15. Calculate the highest common divisor of r and 12. 12 Let y(q) = -2*q**2 + 5*q + 4. Let f be y(3). Suppose 3 = d, 2*d - 4*d = 5*m - 16. What is the highest common divisor of m and f? 1 Let x = -53 + 60. Calculate the greatest common factor of x and 28. 7 Suppose -2*w + 39 = -5*l, -l + 27 = w - 5*l. Let b = -8 + 13. Suppose 3*v - 36 = b*p, 9*v - 4*v = 5*p + 50. Calculate the greatest common divisor of v and w. 7 Suppose 0 = -r - 4*g - 17, 2*g + 6 = -4. Suppose 5*p + 4 = 4*t + 6, 2*t - 3*p + 2 = 0. Suppose -t*d = r*d - 15. What is the greatest common factor of d and 21? 3 Let p = -43 - -58. Let u be -1 - (3 + -1)*-3. What is the highest common factor of u and p? 5 Suppose j = 3*a + 13, 8 - 28 = -5*j. Let k = a + 6. Let z(x) = -x**2 + 13*x - 16. Let b be z(11). What is the highest common divisor of b and k? 3 Let w be ((6 - 5) + 14)/(1/18). What is the highest common divisor of w and 10? 10 Let m = -8 + 6. Let r be m - -1 - (-1 - 2). Calculate the highest common factor of 12 and r. 2 Let z = -2 + 3. Suppose 2*l - 4*l = 2. Let o be (5 + -11)/(-1 + l). What is the greatest common factor of z and o? 1 Let a(k) = -2*k**3 - 10*k**2 - 7*k + 6. Let l be a(-6). Calculate the highest common divisor of l and 15. 15 Let v(x) be the second derivative of x**5/10 - 3*x**4/4 + x**3/6 + x**2 + 6*x. Let f be v(6). What is the greatest common factor of f and 29? 29 Let a(y) = 3*y**2 + 3*y + 18. Let h be a(6). Calculate the greatest common divisor of h and 16. 16 Let q be ((-75)/(-6))/((-1)/(-2)). Let x = 0 + -13. Let t = x + q. What is the greatest common divisor of t and 48? 12 Suppose 4*v + 10 + 14 = 0. Let f = 38 + v. Calculate the highest common factor of f and 4. 4 Let l = -72 + 89. What is the highest common factor of 119 and l? 17 Let l(o) = o**3 - 10*o**2 - 5*o + 11. Let m be l(11). What is the greatest common divisor of 7 and m? 7 Suppose 6*v - 5*c - 34 = 3*v, 0 = 3*c - 12. Let y = -6 + v. Calculate the greatest common factor of y and 132. 12 Let c(d) = -43*d**3 - 3*d**2 - 5*d - 3. Let t be c(-1). Calculate the highest common factor of 56 and t. 14 Let r be 6/21 - 500/(-14). Suppose 2*d - 5*n - r - 28 = 0, 2*d + 3*n = 32. What is the greatest common divisor of d and 198? 22 Let c = -9 + 34. Let h = c - 13. Let l(z) = z**3 - 2*z**2 - 3*z + 6. Let b be l(6). What is the greatest common factor of h and b? 12 Let j be ((-3)/2)/((-3)/36). Calculate the highest common factor of j and 6. 6 Let u be 11*(-1)/2*-14. Let x(f) = 5*f + 4 - 2 - 4*f + 1. Let j be x(4). What is the greatest common factor of u and j? 7 Let v = -2 + 26. What is the highest common factor of 192 and v? 24 Let i = 27 - 7. Let r be (-4)/i + 71/5. Let p = r + -3. Calculate the greatest common divisor of 121 and p. 11 Let f(x) = -x**3 - 5*x**2 - x - 4. Let n be f(-5). Calculate the highest common factor of 3 and n. 1 Let m(d) = d + 3. Let t be m(-7). Let k be ((-6)/9)/(t/66). Calculate the highest common factor of k and 77. 11 Suppose -n - 4*w - 2 + 14 = 0, 5*n - 15 = -5*w. Suppose 14 = 2*i - n*i. Calculate the highest common divisor of 7 and i. 7 Let n(o) = 2*o - 5 + 3 - 6*o. Let m(p) = -p**3 + 8*p**2 - p + 3. Let d be m(8). Let r be n(d). Calculate the greatest common factor of r and 72. 18 Suppose -u = -3*s - 6, u = -u + 5*s + 13. Calculate the highest common divisor of 36 and u. 9 Suppose -4*s + 61 + 3 = 0. Let v(t) = 2*t**3 + t**2 + t - 4. Let m be v(4). Suppose -d - 2*d + m = 0. Calculate the highest common divisor of d and s. 16 Let u be 1 - 1 - (-10 + 8). What is the highest common divisor of 3 and u? 1 Let z(l) be the second derivative of l**3/2 - l**2 + l. Let r be z(4). Suppose 5 = -5*b, -3*a + 8*a = b + 451. Calculate the greatest common divisor of r and a. 10 Let f = -65 + 93. Suppose 0 = h + 5, 3*c - 23 = -c - h. What is the greatest common divisor of c and f? 7 Let t = -1 - -6. Let c = t + -14. Let s = c - -16. What is the highest common factor of s and 28? 7 Let v = 50 + -17. Calculate the highest common factor of 44 and v. 11 Suppose -2*r = 3*t - 17, -3*t + 3*r + 13 = -2*t. Calculate the greatest common factor of 56 and t. 7 Let o = 258 + -66. Calculate the greatest common divisor of o and 24. 24 Let g(a) = 7 + 12 - 14 - a. Let x be g(3). What is the highest common divisor of 4 and x? 2 Let d = 30 + -22. What is the highest common factor of d and 16? 8 Suppose 0*k - 3*x + 261 = 3*k, -2*k + 3*x + 194 = 0. Calculate the highest common divisor of k and 13. 13 Suppose 6*s - 8 = -2. What is the greatest common divisor of 13 and s? 1 Let a = -2 - -4. Suppose -45 = -a*j - j. What is the highest common divisor of j and 5? 5 Let g = 30 - 19. Suppose -17 = 4*r - 5. Let u be (-175)/(-15) + 2/r. What is the greatest common divisor of u and g? 11 Let t(a) = -a**2 + 8*a + 12. Let m be t(9). Let i be (-1 - 5)/((-2)/m). What is the highest common factor of i and 72? 9 Suppose 55 = -4*a + 1063. What is the greatest common divisor of 28 and a? 28 Let t(n) = n**2 + 5*n + 6. Let m be t(-4). Let w be 1 + (3 - -13*m). What is the highest common factor of w and 15? 15 Let p = -5 + 9. Let h be -1 - -1 - 1 - -4. Suppose s - 8 = -h*y + 3*s, -s - 2 = -y. Calculate the greatest common divisor of p and y. 4 Suppose -11*g + 14*g = 48. Suppose 3*t + g = 49. Calculate the highest common divisor of t and 44. 11 Suppose -42 = -3*h + 150. Suppose 5*r + 10 = 10*r. Suppose 0 = r*s - 4*s + 32. What is the highest common divisor of s and h? 16 Suppose -k = 2*k - 6. Let l be (8/(-12))/(k/(-78)). Calculate the greatest common factor of 13 and l. 13 Let b = 42 + -82. Let t = -10 - b. Suppose -5 = n + 5*d, -5*d = -n + 15 + t. What is the highest common factor of n and 5? 5 Let f(l) = 2*l. Let r be f(2). Suppose -10 = -5*o + 4*z, 1 + 3 = -o + 2*z. Suppose -o - 26 = -t. Calculate the greatest common factor of r and t. 4 Let x(b) = 2*b**3 - 5*b**2 + 6*b - 7. Let f be x(4). What is the greatest common divisor of 13 and f? 13 Let x = 2 - -3. Let h be ((-9)/15)/((-1)/75). What is the greatest common factor of h and x? 5 Suppose -d = 5*h - 204, 3*d - 6*d + 92 = 2*h. Let y = 192 + -172. What is the highest common divisor of h and y? 20 Let c(n) = -n**2 - 16*n - 39. Let o be c(-12). Calculate the greatest common divisor of o and 18. 9 Suppose 4*y = -3*v - 2*v + 358, -2*v - 188 = -2*y. Let c = y - -3. Suppose 3*g - 242 = -c. What is the greatest common factor of g and 7? 7 Suppose -11*x + 900 = -7*x. What is the greatest common divisor of 25 and x? 25 Suppose 0 = 9*g - 213 + 60. Let q be (-10)/14 + (-2)/7. Let t be (1 + 188/q)/(-1). What is the greatest common divisor of g and t? 17 Let w = 112 + -92. What is the highest common divisor of w and 100? 20 Let k(x) = x**2 + 6*x - 5. Let m be k(-7). Suppose -m*l = -l - 56. Suppose 0 = -5*o - 0*o + 70. What is the greatest common divisor of o and l? 14 Let f = -69 - -77. Suppose -5*y + 20 = -4*y. Calculate the highest common divisor of y and f. 4 Let w be (-2 - 0) + 1 + 5. Suppose -54 = -w*r + 22. What is the highest common divisor of r and 209? 19 Suppose s - 4*s + 21 = 0. Calculate the highest common divisor of 1 and s. 1 Let q(f) = f**3 - 16*f**2 + 7*f - 22. Let s be q(16). Calculate the greatest common factor of 10 and s. 10 Suppose v + 2*
{ "pile_set_name": "DM Mathematics" }
he nearest integer? 8 What is 192388 to the power of 1/2, to the nearest integer? 439 What is the cube root of 11544515 to the nearest integer? 226 What is the cube root of 1305299 to the nearest integer? 109 What is 3947359 to the power of 1/10, to the nearest integer? 5 What is the square root of 559638 to the nearest integer? 748 What is the square root of 26344510 to the nearest integer? 5133 What is 330165 to the power of 1/2, to the nearest integer? 575 What is 707145 to the power of 1/3, to the nearest integer? 89 What is 72259 to the power of 1/8, to the nearest integer? 4 What is 4381154 to the power of 1/3, to the nearest integer? 164 What is 839895 to the power of 1/10, to the nearest integer? 4 What is the square root of 1611674 to the nearest integer? 1270 What is the tenth root of 3185988 to the nearest integer? 4 What is 768457 to the power of 1/7, to the nearest integer? 7 What is 2709530 to the power of 1/3, to the nearest integer? 139 What is 623328 to the power of 1/2, to the nearest integer? 790 What is the fifth root of 14229 to the nearest integer? 7 What is the seventh root of 2583080 to the nearest integer? 8 What is 196830 to the power of 1/2, to the nearest integer? 444 What is the square root of 2197813 to the nearest integer? 1483 What is the cube root of 624474 to the nearest integer? 85 What is the tenth root of 228948 to the nearest integer? 3 What is 442494 to the power of 1/5, to the nearest integer? 13 What is the square root of 1016298 to the nearest integer? 1008 What is the fifth root of 944083 to the nearest integer? 16 What is the square root of 357687 to the nearest integer? 598 What is 216262 to the power of 1/5, to the nearest integer? 12 What is 644669 to the power of 1/3, to the nearest integer? 86 What is 12441165 to the power of 1/2, to the nearest integer? 3527 What is the cube root of 2626685 to the nearest integer? 138 What is 56310 to the power of 1/9, to the nearest integer? 3 What is the square root of 9209575 to the nearest integer? 3035 What is the fifth root of 174670 to the nearest integer? 11 What is 132933 to the power of 1/2, to the nearest integer? 365 What is the third root of 1258487 to the nearest integer? 108 What is the square root of 21103 to the nearest integer? 145 What is 1138127 to the power of 1/2, to the nearest integer? 1067 What is the square root of 266170 to the nearest integer? 516 What is the ninth root of 8381714 to the nearest integer? 6 What is 12405504 to the power of 1/2, to the nearest integer? 3522 What is the cube root of 2970584 to the nearest integer? 144 What is 1155438 to the power of 1/3, to the nearest integer? 105 What is the cube root of 332866 to the nearest integer? 69 What is the fourth root of 25038830 to the nearest integer? 71 What is 6989436 to the power of 1/9, to the nearest integer? 6 What is the third root of 4510 to the nearest integer? 17 What is 15548007 to the power of 1/3, to the nearest integer? 250 What is 2551385 to the power of 1/5, to the nearest integer? 19 What is the seventh root of 1438321 to the nearest integer? 8 What is 1905398 to the power of 1/4, to the nearest integer? 37 What is the sixth root of 1390165 to the nearest integer? 11 What is 1553335 to the power of 1/3, to the nearest integer? 116 What is 58233 to the power of 1/2, to the nearest integer? 241 What is 263141 to the power of 1/2, to the nearest integer? 513 What is the cube root of 12570671 to the nearest integer? 233 What is the square root of 64736 to the nearest integer? 254 What is 8974316 to the power of 1/9, to the nearest integer? 6 What is the cube root of 13127810 to the nearest integer? 236 What is the cube root of 226666 to the nearest integer? 61 What is 8298365 to the power of 1/3, to the nearest integer? 202 What is 13703293 to the power of 1/3, to the nearest integer? 239 What is 188723 to the power of 1/5, to the nearest integer? 11 What is 4948484 to the power of 1/8, to the nearest integer? 7 What is the square root of 905073 to the nearest integer? 951 What is 822528 to the power of 1/5, to the nearest integer? 15 What is 1368873 to the power of 1/6, to the nearest integer? 11 What is 31669049 to the power of 1/2, to the nearest integer? 5628 What is the square root of 617633 to the nearest integer? 786 What is the tenth root of 392153 to the nearest integer? 4 What is the cube root of 288618 to the nearest integer? 66 What is 71505 to the power of 1/2, to the nearest integer? 267 What is 1323930 to the power of 1/3, to the nearest integer? 110 What is the eighth root of 2697450 to the nearest integer? 6 What is the square root of 1222429 to the nearest integer? 1106 What is 325873 to the power of 1/7, to the nearest integer? 6 What is the third root of 19834029 to the nearest integer? 271 What is the square root of 6754594 to the nearest integer? 2599 What is the eighth root of 797946 to the nearest integer? 5 What is 35253 to the power of 1/2, to the nearest integer? 188 What is 82699 to the power of 1/5, to the nearest integer? 10 What is 747209 to the power of 1/10, to the nearest integer? 4 What is 6367634 to the power of 1/6, to the nearest integer? 14 What is 3150841 to the power of 1/2, to the nearest integer? 1775 What is 13204706 to the power of 1/2, to the nearest integer? 3634 What is 734009 to the power of 1/6, to the nearest integer? 9 What is the square root of 602738 to the nearest integer? 776 What is the square root of 1478425 to the nearest integer? 1216 What is 28264590 to the power of 1/9, to the nearest integer? 7 What is 6452375 to the power of 1/4, to the nearest integer? 50 What is the third root of 2988320 to the nearest integer? 144 What is 4441207 to the power of 1/10, to the nearest integer? 5 What is 1316229 to the power of 1/2, to the nearest integer? 1147 What is the square root of 12978073 to the nearest integer? 3603 What is the cube root of 3982500 to the nearest integer? 159 What is 5414360 to the power of 1/3, to the nearest integer? 176 What is 7599930 to the power of 1/3, to the nearest integer? 197 What is the square root of 3321762 to the nearest integer? 1823 What is the cube root of 1045324 to the nearest integer? 101 What is 413264 to the power of 1/2, to the nearest integer? 643 What is 1225172 to the power of 1/5, to the nearest integer? 17 What is 447777 to the power of 1/2, to the nearest integer? 669 What is the tenth root of 65260 to the nearest integer? 3 What is 987251 to the power of 1/3, to the nearest integer? 100 What is the ninth root of 1339795 to the nearest integer? 5 What is the fourth root of 18267478 to the nearest integer? 65 What is 29766591 to the power of 1/2, to the nearest integer? 5456 What is the third root of 563240 to the nearest integer? 83 What is 547813 to the power of 1/2, to the nearest integer? 740 What is 33033 to the power of 1/5, to the nearest integer? 8 What is 186599 to the power of 1/5, to the nearest integer? 11 What is the fifth root of 1249378 to the nearest integer? 17 What is the eighth root of 21943699 to the nearest integer? 8 What is 1360901 to the power of 1/5, to the nearest integer? 17 What is the tenth root of 275341 to the nearest integer? 3 What is the seventh root of 48367 to the nearest integer? 5 What is the fifth root of 1177054 to the nearest integer? 16 What is 459351 to the power of 1/3, to the nearest integer? 77 What is 114564 to the power of 1/3, to the nearest integer? 49 What is the cube root of 338313 to the nearest integer? 70 What is the fourth root of 2176353 to the nearest integer? 38 What is the seventh root of 1642216 to the nearest integer? 8 What is the cube root of 689019 to the nearest integer? 88 What is 2593286 to the power of 1/3, to the nearest integer? 137 What is 4777495 to the power of 1/3, to the nearest integer? 168 What is 2393790 to the power of 1/2, to the nearest integer? 1547 What is 23691 to the power of 1/2, to the nearest integer? 154 What is the square root of 152518 to the nearest integer? 391 What is the square root of 403633 to the nearest integer? 635 What is the cube root of 5051178 to the nearest integer? 172 What is the fifth root of 14081862 to the nearest integer? 27 What is 205238 to th
{ "pile_set_name": "DM Mathematics" }
and b. 70 Let h be 0/5 - 1 - -167. What is the common denominator of (-2)/40*h - 2 and 17/2? 10 Suppose -4*d + z + 28192 = 0, -3351 = -4*d - 2*z + 24829. Let j = -32/103 + 9423/824. Find the common denominator of 1/7 + d/3150 and j. 200 Let v = -1990 - -2008. Suppose 2*q - 90 = -q. What is the least common multiple of q and v? 90 Suppose -115 = m + 4*m. Let n = 32 + m. Let o = n - 1. What is the smallest common multiple of 10 and o? 40 Let o be (-3582)/(-42) + 4/(-14). Find the common denominator of 15/66*(-2 + o/10) and -21/16. 176 Let l = -8 - -8. Suppose -6*o + 7 = -2*x - o, l = -2*x - o + 11. Suppose 4*v + 4 = 0, 3*p + 6*v = v + 43. What is the least common multiple of p and x? 16 Let z(j) = 11*j + 17. Let c be z(-7). Calculate the common denominator of 686/c + (-4)/(-30) and -107/22. 110 Suppose 5*i = 5*t - 50, i = -t + 8 + 2. Suppose -2*h - 2*h = -28. What is the smallest common multiple of h and t? 70 Let z(j) = 23*j - 38. Suppose 0 = 2*c + 17 + 23. What is the least common multiple of (-115)/c + (-1)/(-4) and z(2)? 24 Calculate the least common multiple of 2*(-2)/(-4)*4 + 78 and 8. 328 Calculate the common denominator of (-3)/(-60)*-5*364/54 and -103/10. 270 Suppose -2*x + 1 = 7. Let h = x + 15. Calculate the lowest common multiple of h and 21/3*-5*36/(-70). 36 Suppose 5*y - 61 = -6. Calculate the least common multiple of (-12)/(-6)*(-2)/(-4)*1 and y. 11 Suppose 4*d + 15 = d. Calculate the common denominator of (22/d)/((-32)/(-120)) and 30. 2 Suppose -2*c + 39 - 7 = 0. Let m be (1*2)/(c/40). Suppose 5*p + 2*s = 10, 2*s - m = 3*s. Calculate the smallest common multiple of p and 8. 8 Let d = 26 - 23. Suppose -3*a = d*m + 18, 6*m + 12 = 2*m - a. Find the common denominator of 3/22 and 214/24 + m/3. 44 Let o = 44197/18 + -9827/4. What is the common denominator of -13/3 and o? 36 Suppose 37 = 7*q - 75. Suppose 4*c = -z + 17 + 3, -4 = -4*c. What is the smallest common multiple of q and z? 16 Let l be (-134315)/(-29) + (-1 - 0). Let m = l - 499131/232. Let a = m + -2470. Calculate the common denominator of -30 and a. 8 Let h = -75/3296 - 26509/319712. What is the common denominator of -53/10 and h? 1940 Let m = 28766/9 - 1151711/360. What is the common denominator of -67/14 and m? 280 Suppose 2*u - 80 = 4*g, 3*u + 3*g - 4 = 116. What is the smallest common multiple of u and 20? 40 Calculate the common denominator of 4*8/(-128) - (-113)/(-196) and -5/252. 1764 Let c(i) = -6*i**2 - 3*i - 7. Let r be c(-5). Let s = 3/2038 - 41809/20380. Find the common denominator of s and (r/(-5))/(-4 + -4). 20 Suppose 12 = -4*w - 12. Calculate the common denominator of (24/10)/w*-10 and (4/36)/((-2)/148). 9 What is the common denominator of -4/3 and 4/(-3)*(-78)/(-4)? 3 Suppose 3*b + b = 3*a - 20, 15 = -2*a - 3*b. Let i = a + 13/12. Find the common denominator of 1561/70 - ((-104)/20 + 6) and i. 12 Let f = 2162269/511819 + -5/133518. Let t = -5/46 - f. Find the common denominator of t and (-57)/16 + -2 + 0. 48 Find the common denominator of (6/20)/(-1) + 36144/33480 and -137/42. 1302 Suppose -4*v + 54 = 6. What is the least common multiple of v and 342? 684 Calculate the smallest common multiple of 117 and (-12)/28 - 1290/(-70). 234 Let j = -25 + 43. Let b = j - 8. Suppose 3*g = -p + 6*p + 80, -40 = -g + 5*p. Calculate the least common multiple of b and g. 20 Let r = 3905 - 1230077/315. Let a = -21073/5040 + r. What is the common denominator of 2/(-40) - 4/(-10) and a? 80 Let s = 174 + -78. What is the smallest common multiple of s and 10? 480 Let u(d) = -15*d - 1. Let q be u(1). Let s = 190 + -199. Find the common denominator of 56/11 and 84/s*(-4)/q. 33 Let w = 3/118 - -2351/354. Find the common denominator of w and -73/138. 138 Let l = 237595/22 + -10798. Let s be 2/44*(-17642)/(-308). Let o = -35/121 - s. What is the common denominator of l and o? 308 Let x = 5171/6 + -867. What is the common denominator of x and 22/43? 258 What is the lowest common multiple of 93 and 150/(-39) + 4 + (-100)/(-26)? 372 Calculate the least common multiple of (-2 - (-39)/6)*(6 - 0) and 576. 1728 Let s(a) = a**3 + 7*a**2 + 4*a - 6. Let u be ((-9)/6)/(5/20). Calculate the smallest common multiple of 7 and s(u). 42 Let d = -8/189 + 1103/756. What is the common denominator of -55/14 and d? 84 Let x = 11 - -16. What is the common denominator of 11/16 and 454/36 - (-6)/x*1? 48 What is the common denominator of -49/33 and ((-2)/6 - 0)/(5/(-23))? 165 Let s be (54*(-71)/920)/(30/20). Let i = s - 14/115. Calculate the common denominator of 49/12 and i. 60 Let n = 4/779 + -97423/9348. Let g = -1339/22 + 61. What is the common denominator of g and n? 132 Calculate the common denominator of 1512/648 - (-5918)/(-2220) and -85/6. 1110 Suppose -3*s = 2 - 29. Let l = 34 - 38. What is the least common multiple of s and (1 - 0)*(-3 + (0 - l))? 9 What is the common denominator of 95/18 and ((-2)/48*-22)/(34/(-52))? 306 Let i(w) = -w**2 - 14*w - 29. Let v be i(-11). Let h = 10 - v. What is the lowest common multiple of 9 and h? 18 Let q = 493 + -478. What is the least common multiple of 5/1 + (4 - 6) and q? 15 Find the common denominator of (-41)/2*177/8496 and 71/36. 288 Let u = 100655688/853 + -4420845372599/37462054. Let z = u + 1/3137. What is the common denominator of 934/(-280) - (-2)/7 and z? 140 Let m(f) = 4*f**3 - 7*f**2 + 5*f - 9. What is the least common multiple of 51 and m(2)? 255 Suppose -4*i + 0*i + 49 = t, -15 = -3*t. What is the lowest common multiple of (-9)/(-60)*4 - (-11 - (-3370)/(-50)) and i? 869 Let s be (-38585)/28995 - 28/(-21). Let r = 55957/38660 + s. Calculate the common denominator of r and 115/14. 140 Let o be (-2)/7 - (-225200)/(-14). Let v = -15393989 - -338313783/22. Let t = o - v. What is the common denominator of t and -25/4? 44 Let s = 89 + -80. What is the least common multiple of s and 378? 378 Let d = -6497317/198 - -32815. Find the common denominator of 57/374 and d. 3366 Let l = 3087 + -376665/122. Calculate the common denominator of -67/6 and l. 366 Let w = 194 + -138. What is the lowest common multiple of w and 14? 56 Let n = 188/3 - 58. Calculate the common denominator of n and 121/48. 48 Let k = -5182/3 + 103883/60. Let h = 489827660639/131512345830 + -106/5685791. Let u = h + -3/1285. Find the common denominator of u and k. 180 Let c = -216 + 220. Calculate the smallest common multiple of 7 and c. 28 Suppose 0 = -2*k - 8 + 20. Suppose k*r - r - 210 = 0. What is the lowest common multiple of (-4)/5 - (-2 - 132/15) and r? 210 Suppose -3*n - 2*n + 25 = 0. Suppose n*m - 17 - 18 = -3*o, -3*m = 5*o - 69. Suppose -13*t = -16*t + o. What is the lowest common multiple of 3 and t? 15 Let a be (6/220)/((-32)/(-19328)). Let f = a - 2227/110. Find the common denominator of f and -6/5. 110 Let m(i) = -15*i + 27 - 25 + 12*i. Calculate the least common multiple of m(0) and 5. 10 Let w be (2 + -3)/(2 - 1). Let l be w/(-6)*(-39704)/105. Let k = -593/10 - l. Find the common denominator of -21/4 and k. 36 Suppose 0*n - 4*n - 32 = 0. Let i = n + 11. Let s(p) = p**3 + 13*p**2 + 13*p + 15. Calculate the least common multiple of i and s(-12). 3 Suppose -3*z = -3*l + 27 + 150, -2*l = -4*z - 238. Find the common denominator of (-3)/1*(-470)/z and 53/14. 14 Let c = 128 + -116. Suppose -t + 0*t = -20. Suppose t + 10 = 3*p + 3*f, -p = 3*f - 6. Calculate the least common multiple of p and c. 12 Let s be 20/10*(-14)/(-4). Suppose 0 = -2*i + 3*x - 4, s*i + 3*x = 3*i + 10. What is the least common multiple of i and 2? 2 Let p be ((-66)/72 + 1/4)*-3. Calculate the lowest common multiple of (0 - 4)/((-2)/(p + 0)) and 8. 8 Suppose 4*d - 3*i = -d - 1, i - 2 = 0. Let p be 9/(-6)*(4 + -2). Find the common denominator of (-51)/42 + d/p and 111/14. 42 Suppose 0 = -5*r + r. Suppose r = -2*y - 10, 3*y - 16 + 6 = -5*f. Let n(c) = -c**2 + c + 7. What is the smallest common multiple of f and n(0)? 35 Suppose 6*u - 594 = -12*u. Calculate the smallest common multiple of u and 120. 1320 Let v = 22299 + -401281/18. Let z = 893641154053/4730 + -188930474. Let t = z - -186/215. Find the common denominator of v and t. 198 Let w = 15033 - 841745/56. Calculate the common denominator of 97/40 and w. 280 What is the common denominator of -145/24 and 4/6 + 6806/3936? 48 Let v be (-4)/6 + (-115)/(-126)
{ "pile_set_name": "DM Mathematics" }
any minutes are there between 7:47 PM and 11:42 PM? 235 What is 624 minutes after 1:43 PM? 12:07 AM How many minutes are there between 11:28 AM and 10:28 PM? 660 How many minutes are there between 11:36 PM and 7:28 AM? 472 How many minutes are there between 6:52 AM and 3:26 PM? 514 How many minutes are there between 11:05 PM and 8:54 AM? 589 How many minutes are there between 5:37 PM and 7:38 PM? 121 What is 400 minutes after 8:17 AM? 2:57 PM What is 4 minutes before 12:38 AM? 12:34 AM What is 309 minutes after 11:04 PM? 4:13 AM What is 609 minutes after 12:27 PM? 10:36 PM How many minutes are there between 8:36 PM and 4:58 AM? 502 What is 9 minutes after 7:48 PM? 7:57 PM What is 682 minutes after 4:10 AM? 3:32 PM How many minutes are there between 8:55 AM and 1:55 PM? 300 What is 291 minutes before 2:56 AM? 10:05 PM How many minutes are there between 10:42 AM and 1:15 PM? 153 How many minutes are there between 6:14 PM and 5:51 AM? 697 How many minutes are there between 7:02 PM and 8:31 PM? 89 What is 663 minutes before 10:04 PM? 11:01 AM How many minutes are there between 12:01 AM and 10:25 AM? 624 How many minutes are there between 2:25 PM and 1:40 AM? 675 How many minutes are there between 3:20 AM and 3:39 AM? 19 What is 401 minutes before 1:13 AM? 6:32 PM How many minutes are there between 5:44 PM and 5:17 AM? 693 How many minutes are there between 3:33 AM and 11:38 AM? 485 What is 373 minutes before 1:04 AM? 6:51 PM What is 664 minutes before 5:59 PM? 6:55 AM What is 88 minutes before 11:23 PM? 9:55 PM How many minutes are there between 7:48 PM and 10:49 PM? 181 What is 373 minutes after 10:03 AM? 4:16 PM How many minutes are there between 3:42 PM and 6:07 PM? 145 How many minutes are there between 2:18 PM and 8:58 PM? 400 What is 38 minutes before 7:35 AM? 6:57 AM How many minutes are there between 4:23 PM and 6:51 PM? 148 How many minutes are there between 9:18 PM and 8:13 AM? 655 How many minutes are there between 8:05 AM and 9:46 AM? 101 How many minutes are there between 7:50 AM and 3:43 PM? 473 How many minutes are there between 2:31 AM and 8:37 AM? 366 What is 507 minutes before 9:30 PM? 1:03 PM What is 558 minutes after 4:01 PM? 1:19 AM What is 657 minutes before 7:06 PM? 8:09 AM What is 715 minutes before 9:58 PM? 10:03 AM How many minutes are there between 10:30 AM and 1:21 PM? 171 How many minutes are there between 1:43 PM and 4:39 PM? 176 How many minutes are there between 8:57 AM and 1:59 PM? 302 What is 504 minutes before 3:15 AM? 6:51 PM How many minutes are there between 11:59 PM and 4:12 AM? 253 What is 185 minutes before 1:58 AM? 10:53 PM How many minutes are there between 7:05 AM and 3:30 PM? 505 What is 439 minutes after 8:50 PM? 4:09 AM What is 332 minutes before 8:59 PM? 3:27 PM How many minutes are there between 6:19 PM and 6:38 PM? 19 How many minutes are there between 8:41 PM and 8:21 AM? 700 What is 416 minutes before 5:01 PM? 10:05 AM How many minutes are there between 3:28 AM and 6:50 AM? 202 What is 313 minutes after 9:42 PM? 2:55 AM How many minutes are there between 4:37 AM and 3:23 PM? 646 How many minutes are there between 9:01 AM and 8:40 PM? 699 What is 327 minutes before 1:06 AM? 7:39 PM What is 394 minutes before 7:49 PM? 1:15 PM What is 309 minutes after 11:59 AM? 5:08 PM How many minutes are there between 5:26 PM and 7:07 PM? 101 What is 625 minutes after 5:00 PM? 3:25 AM What is 167 minutes after 10:56 PM? 1:43 AM How many minutes are there between 2:47 PM and 10:41 PM? 474 How many minutes are there between 5:40 AM and 5:26 PM? 706 What is 628 minutes before 1:00 AM? 2:32 PM How many minutes are there between 9:04 AM and 2:19 PM? 315 What is 296 minutes before 10:00 AM? 5:04 AM What is 664 minutes before 5:11 AM? 6:07 PM How many minutes are there between 1:55 PM and 12:25 AM? 630 What is 399 minutes before 7:29 AM? 12:50 AM What is 700 minutes after 2:38 AM? 2:18 PM How many minutes are there between 4:36 AM and 3:33 PM? 657 What is 558 minutes after 12:18 PM? 9:36 PM How many minutes are there between 12:00 PM and 10:07 PM? 607 What is 27 minutes before 3:55 PM? 3:28 PM How many minutes are there between 6:40 AM and 10:09 AM? 209 What is 583 minutes before 6:35 AM? 8:52 PM How many minutes are there between 1:30 PM and 9:06 PM? 456 What is 570 minutes before 2:24 AM? 4:54 PM What is 528 minutes before 5:43 PM? 8:55 AM How many minutes are there between 7:22 AM and 12:24 PM? 302 What is 90 minutes after 1:04 PM? 2:34 PM How many minutes are there between 2:14 AM and 4:09 AM? 115 What is 289 minutes after 3:47 PM? 8:36 PM What is 148 minutes before 7:29 AM? 5:01 AM What is 508 minutes after 6:57 AM? 3:25 PM What is 553 minutes before 10:49 AM? 1:36 AM What is 472 minutes after 12:15 AM? 8:07 AM How many minutes are there between 10:17 PM and 11:07 PM? 50 How many minutes are there between 8:15 PM and 6:14 AM? 599 How many minutes are there between 6:46 AM and 3:11 PM? 505 What is 507 minutes before 5:42 PM? 9:15 AM How many minutes are there between 2:26 PM and 10:34 PM? 488 What is 631 minutes after 6:35 PM? 5:06 AM What is 12 minutes before 12:20 AM? 12:08 AM What is 675 minutes after 7:28 PM? 6:43 AM What is 91 minutes before 1:16 AM? 11:45 PM What is 625 minutes after 8:33 PM? 6:58 AM What is 386 minutes before 10:08 PM? 3:42 PM How many minutes are there between 7:32 PM and 12:50 AM? 318 How many minutes are there between 3:34 PM and 4:16 PM? 42 How many minutes are there between 2:02 AM and 4:12 AM? 130 How many minutes are there between 1:17 AM and 5:14 AM? 237 How many minutes are there between 5:22 PM and 7:03 PM? 101 What is 692 minutes after 12:44 AM? 12:16 PM How many minutes are there between 6:41 AM and 11:18 AM? 277 How many minutes are there between 1:23 AM and 5:43 AM? 260 What is 246 minutes after 11:44 AM? 3:50 PM How many minutes are there between 1:47 AM and 10:39 AM? 532 What is 402 minutes after 3:31 PM? 10:13 PM How many minutes are there between 1:15 PM and 1:25 PM? 10 What is 420 minutes before 1:50 PM? 6:50 AM What is 448 minutes before 7:26 AM? 11:58 PM What is 647 minutes before 11:22 PM? 12:35 PM How many minutes are there between 4:53 PM and 6:25 PM? 92 How many minutes are there between 1:07 PM and 6:35 PM? 328 How many minutes are there between 1:32 PM and 3:13 PM? 101 What is 303 minutes after 9:03 PM? 2:06 AM How many minutes are there between 1:06 AM and 9:22 AM? 496 What is 355 minutes before 1:52 AM? 7:57 PM What is 255 minutes after 11:57 AM? 4:12 PM How many minutes are there between 2:27 PM and 5:02 PM? 155 How many minutes are there between 8:43 AM and 4:43 PM? 480 How many minutes are there between 5:00 PM and 3:18 AM? 618 What is 33 minutes after 8:06 AM? 8:39 AM How many minutes are there between 5:37 AM and 12:16 PM? 399 How many minutes are there between 7:17 AM and 5:00 PM? 583 How many minutes are there between 12:50 PM and 3:12 PM? 142 What is 491 minutes before 10:41 AM? 2:30 AM What is 677 minutes before 10:27 PM? 11:10 AM What is 321 minutes after 11:51 PM? 5:12 AM How many minutes are there between 2:32 AM and 6:45 AM? 253 How many minutes are there between 3:30 AM and 4:30 AM? 60 What is 454 minutes before 7:04 AM? 11:30 PM What is 166 minutes before 7:32 AM? 4:46 AM How many minutes are there between 7:09 PM and 6:58 AM? 709 What is 323 minutes before 7:01 PM? 1:38 PM How many minutes are there between 2:43 PM and 3:08 PM? 25 What is 525 minutes after 9:35 PM? 6:20 AM What is 581 minutes after 2:19 PM? 12:00 AM What is 699 minutes before 7:19 PM? 7:40 AM What is 237 minutes before 8:13 PM? 4:16 PM What is 211 minutes after 10:23 AM? 1:54 PM How many minutes are there between 3:31 AM and 9:31 AM? 360 How many minutes are there between 7:38 PM and 12:55 AM? 317 How many minutes are there between 1:58 AM and 8:43 AM? 405 How many minutes are there between 5:02 PM and 11:30 PM? 388 How many minutes are there between 12:47 PM and 6:54 PM? 367 How many minutes are there between 10:20 AM and 10:02 PM? 702 What is 317 minutes after 10:40 AM? 3:57 PM How many minutes are there between 6:40 PM and 12:11 AM? 331 How many minutes are there between 8:44 PM and 1:59 AM? 315 How many minutes are there between 3:02 PM and 7:06 PM? 244 How many minutes ar
{ "pile_set_name": "DM Mathematics" }
7459200*i**4 + 8 Let u(n) = -8*n**2. Suppose 5*c = 5*q - q + 27, 2*q = -3*c + 3. Let o(r) = -r - c*r + r. Determine o(u(y)). 24*y**2 Let n(h) = -708*h**2 + 108*h + 90*h - 198*h. Let j(o) = -2*o**2. Determine n(j(x)). -2832*x**4 Let y(l) = -3*l. Let s(j) = 4182777*j**2. Calculate s(y(a)). 37644993*a**2 Let g(c) = -17*c + 1. Let j(r) = -104*r. Determine g(j(y)). 1768*y + 1 Let l(y) = y. Let b(u) be the second derivative of 13*u**6/360 + 10*u**3/3 - 27*u. Let j(n) be the second derivative of b(n). What is j(l(i))? 13*i**2 Let m(v) = 2*v. Let u be 153/45 - 3/(-5). Let n(p) = -4*p - 4. Let d(x) = -x**2 - 5*x - 5. Let w(f) = u*d(f) - 5*n(f). Determine m(w(o)). -8*o**2 Let x(r) be the second derivative of -r**3/6 + 9*r + 2. Let u(i) = -i + 53. Calculate x(u(a)). a - 53 Let z(l) = 4*l - 2*l - 20399 + 20399. Let q(p) = -27*p - 2. Let w(x) = 54*x + 3. Let a(g) = 5*q(g) + 3*w(g). Calculate z(a(t)). 54*t - 2 Let h(u) = 8*u + 3 - 3. Suppose 4*m - n = 79, -m + 14 + 2 = n. Let f(l) = 21*l - 38*l + m*l. Determine f(h(p)). 16*p Let s = 74 + -72. Let q(d) = -9*d**2 - 8*d**2 + 7*d**s + 11*d**2. Let j(m) = 53*m. Give j(q(v)). 53*v**2 Let x(n) = n + 3. Let g(u) = -2*u - 3. Let y(s) = -2*g(s) - 3*x(s). Let m be y(5). Let j(o) = 46*o + m*o**2 - 46*o. Let f(t) = -6*t. Determine j(f(i)). 72*i**2 Let p(z) = 17*z. Let d(s) = -748 + 748 - 5*s. Calculate d(p(w)). -85*w Let n(w) = 6*w**2. Let p = -26 + 31. Let m(g) = 0*g + p*g - g - 6*g. What is n(m(z))? 24*z**2 Let q(z) be the second derivative of 0*z**3 + 0 + 3/2*z**4 + 42*z + 0*z**2. Let d(s) = -s**2. Give q(d(g)). 18*g**4 Let t(b) = b + 2*b - 8*b. Let c(l) be the second derivative of -2*l**3/3 - 9*l + 8. Give c(t(m)). 20*m Let k(c) = -3*c + 3*c - c + 0*c. Let r = -4 - -8. Let y(q) = r*q - q - q - 3*q. What is y(k(s))? s Let g(s) = s + 23. Let i(w) = 6*w + 3. What is g(i(h))? 6*h + 26 Let d(b) be the first derivative of -b**3/3 - 92. Let f be (2 - 5)*(0 - 1). Let k(v) = -f*v**2 + v**2 + v**2. Determine d(k(g)). -g**4 Let s(z) = -z**2. Let l be (20/(-70))/(2/(-28)) - 1. Let v(n) be the first derivative of 0*n**2 - 1/3*n**l - 1 + 0*n. Calculate v(s(r)). -r**4 Let a(i) be the third derivative of -i**4/12 - 2*i**2. Let t be (-2 + 8/5)/((-9)/22590). Let f(v) = -6*v + 1004 - t. Determine f(a(g)). 12*g Let v(o) = -2*o - 29. Let p(w) = -444*w**2. Determine p(v(x)). -1776*x**2 - 51504*x - 373404 Let i(n) = 3*n**2. Let c(p) be the first derivative of 79*p**3/3 - 119. Determine i(c(a)). 18723*a**4 Suppose 2*d = 10, -3*o + 3*d = -2*d + 19. Suppose 4 = 3*i - o. Let w(n) = -1 + 5*n**i - 2 + 3. Let c(t) = -2*t. Determine w(c(v)). 20*v**2 Let h(k) = 5*k**2. Let c(z) = -13*z - 15. Let r(q) = -64*q - 72. Let a(y) = -24*c(y) + 5*r(y). Calculate a(h(f)). -40*f**2 Let k(r) = 6208*r. Let d(y) = -275*y**2. Calculate k(d(l)). -1707200*l**2 Let i(g) = g - 1. Let y(w) = -17*w**2 - 5*w + 6. Let l(f) = -6*i(f) - y(f). Let j(d) = -2*d. Give l(j(o)). 68*o**2 + 2*o Let b(t) = -6*t - 11*t + 11*t - 7*t - 6*t. Let r(p) = 13*p**2. What is r(b(k))? 4693*k**2 Let d(u) = -3*u**2 + 18*u**2 - 12*u**2. Let r(n) = 2*n**2 - 2*n + 2. Let s(p) = -4*p**2 + 5*p - 5. Let l(x) = -5*r(x) - 2*s(x). What is l(d(m))? -18*m**4 Let s(k) be the third derivative of -k**5/60 - 159*k**2. Let p(z) = 384*z. Give s(p(l)). -147456*l**2 Let s(t) = 48721*t + 581. Let j(o) = -420*o - 5. Let n(p) = 581*j(p) + 5*s(p). Let u(c) = -2*c**2. What is u(n(h))? -344450*h**2 Let d(j) = -64*j**2. Let h(n) = -8*n + 4. Calculate d(h(y)). -4096*y**2 + 4096*y - 1024 Let d(h) = 22*h. Let n(i) = 15*i**2 + 4*i + 36. Calculate d(n(b)). 330*b**2 + 88*b + 792 Let h(g) = 3*g**2 - 4*g - 4. Let f(d) = -4*d**2 + 5*d + 5. Let p(z) = -4*f(z) - 5*h(z). Let q(i) be the first derivative of -i**3/3 + 93. What is q(p(b))? -b**4 Let k(j) = -17*j**2. Let d(b) = 75916*b**2. Calculate d(k(h)). 21939724*h**4 Let z(y) be the second derivative of 17*y**3/6 + 9*y**2/2 + 3*y. Let f(r) = -4*r - 2. Let n(p) = -9*f(p) - 2*z(p). Let k(s) = 2*s - 2 + 2. Determine k(n(h)). 4*h Let o(n) = n**2 - n - 15. Let q be o(-7). Let h(g) = q*g**2 - 57*g**2 + 50*g**2. Let i(k) = -3*k. Calculate h(i(y)). 306*y**2 Let y(f) be the second derivative of f**3/3 - 19*f**2/2 + 42*f - 3. Let w(m) = -4*m. Determine w(y(l)). -8*l + 76 Let o(b) = -2*b**2. Let u(r) = 93537*r**2 + r + 1. Determine u(o(z)). 374148*z**4 - 2*z**2 + 1 Let z(x) be the third derivative of 0*x**4 + 0*x**3 - x**2 - 1/60*x**5 + 0 + 0*x. Let p(y) = -30*y. What is z(p(t))? -900*t**2 Let r(i) = -2*i**2. Let a(n) = -9*n**2 + 19*n**2 + 10*n - 11*n**2. Calculate a(r(s)). -4*s**4 - 20*s**2 Let i(u) = 20*u. Let c(n) = -79885*n. What is c(i(y))? -1597700*y Let g(b) = -18*b. Let m(q) = q**2 + q + 1. Let k(t) = 5*t**2 + 4*t + 16. Let n(h) = k(h) - 4*m(h). Let o(w) be the first derivative of n(w). Determine g(o(u)). -36*u Let o(v) = -3*v**2 - 524 + 524. Suppose 2 + 4 = 3*u. Let g(h) = -h**u + 4*h**2 + 0*h**2. What is o(g(w))? -27*w**4 Let p(k) = -62*k**2. Let b(i) = 3*i**2 - 9*i + 9. Let v(u) = u - 1. Let c(j) = 2*b(j) + 18*v(j). Calculate c(p(h)). 23064*h**4 Let x(l) = -1174*l - 97. Let q(z) = -4*z. Give q(x(n)). 4696*n + 388 Let a(c) = -191*c + 38*c**2 + 382*c - 195*c. Let j(o) = -493*o**2 + 51*o. Let m(l) = 51*a(l) + 4*j(l). Let u(t) = t**2. What is u(m(n))? 1156*n**4 Let n(p) = -3*p + 9. Let j = -9 + 18. Let c(a) = a - 2. Let w(m) = j*c(m) + 2*n(m). Let l(z) = 1 - 1 + 6*z - 8*z. Calculate w(l(s)). -6*s Let x(f) = 52382*f - 52382*f + 2*f**2. Let l(d) = 17*d**2 + 2. Give l(x(i)). 68*i**4 + 2 Let n(v) = v. Let y(d) be the third derivative of -d**3/6 + 9*d**2. Let o(u) = 3*u - 6. Let b(q) = -o(q) + 6*y(q). Give b(n(k)). -3*k Let v(p) = -18*p. Let z(o) = 50*o**2 + 2*o - 88. Give z(v(j)). 16200*j**2 - 36*j - 88 Let h(v) = v**2. Let j(f) = 81086*f**2. What is j(h(x))? 81086*x**4 Let n(w) = w**2 + 188*w - 18. Let f(c) = 11*c + 1. Determine n(f(u)). 121*u**2 + 2090*u + 171 Let z(i) = 46*i - 44*i - 1 + 1. Let k(d) = -18*d + 21. Let r(p) = 3*p - 4. Let y(f) = 4*k(f) + 21*r(f). Give y(z(n)). -18*n Let u = 18 - 6. Let y(w) = 16*w - 7 + 27 - 9 - u. Let l(q) = -q**2. Calculate y(l(p)). -16*p**2 - 1 Let g(z) = -z + 1. Let h(l) = 409*l**2. Determine g(h(p)). -409*p**2 + 1 Let f be 4/6 - 26/(-6). Let r(v) = -18*v**2 + f + 12*v**2 - 5. Let q(o) = 3*o - 4. Let l(h) = h - 1. Let u(b) = 4*l(b) - q(b). What is u(r(i))? -6*i**2 Let i(r) = 4*r**2. Let o(a) = 23720*a**2. Give i(o(c)). 2250553600*c**4 Let v(m) be the first derivative of 7 - 19/3*m**3 + 0*m + 0*m**2. Let i(q) = q**2. Calculate i(v(z)). 361*z**4 Let j(n) = n**2. Let m(y) = -10*y**2 + 29*y - 29*y + 43*y**2. What is j(m(x))? 1089*x**4 Let a(h) = h**2. Let r(y) = -179*y. Let j(v) = -3224*v. Let x(w) = 5*j(w) - 91*r(w). Determine a(x(b)). 28561*b**2 Let i(q) = -5064*q**2. Let g(n) = -201*n. Give i(g(w)). -204590664*w**2 Let s(n) = -2*n - 5973. Let r(o) = -13*o**2. What is s(r(a))? 26*a**2 - 5973 Suppose 27*g = 24*g + 117. Let o(t) = -67*t**2 + g*t**2 + 62*t**2. Let i(z) = 2*z**2. Give i(o(q)). 2312*q**4 Let f(h) = 146*h + 2. Let b(j) = -j + 233. Calculate f(b(y)). -146*y + 34020 Let m(u) = -u**3 - 4*u**2 - 5*u - 4. Let c be m(-3). Let w(d) = 2 + d - 2 - c*d. Let f(r) = -12*r. Give f(w(g)). 12*g Suppose 983 + 457 = 4*i. Let x(w) = -w - 360 + i. Let t(g) be the third derivative of 7*g**4/24 - g**2. What is t(x(a))? -7*a Let f(h) = -53*h**2 - 2*h. Let o(w) = -3*w**2 + 10*w**2 - 8*w**2. Determine o(f(x)). -2809*x**4 - 212*x**3 - 4*x**2 Let g(y) = 20*y**2 - 4*y + 4*y - 16*y**2 - 15*y**2. Let o(j) = 20*j**2. Calculate o(g(p)). 2420*p**4 Suppose -6*i + 21 = 3. Suppose 4*y = 5*x - 6, -4*y + 7*y + 3 = i*x. Let k(c) = 59*c + 8*c**2 - 59*c + 7*c**x. Let s(u) = -2*u. Give k(s(p)). 60*p**2 Let h(y) be the first derivative of -y**2 + 1. Let g(z) be the second derivative of 5*z**4/12 + 2*z - 85. Calculate h(g(n)). -10*n**2 Let r(z) = -59*z**2 + 2*z - 409. Let a(l) = -l. Calculate a(r(c)). 59*c**2 - 2*c + 409 Let f(r) = -6*r**2 + 70*r + 7. Let j(b) = b**2 - 10*b - 1. Let k(n) = f(n) + 7*j(n). Let s(a) = a**2 - 3*a**2 + 0*a**2. What is s(k(c))? -2*c**4 Let f(v) = 3*v. Let g(t) = 58952*t**2. Determine f(g(k)). 176856*k**2 Let g(o) = 3*o + 1. Let d(z) = 32*z + 10. Let r(w) = 2*d(w) - 20*g(w). Let h(b) be the second derivative of b**4/12 + b. Give h(r(s)). 16*s**2 Suppo
{ "pile_set_name": "DM Mathematics" }
**3 + 5*y**2 + 2*y**4. Let d(t) = 3*q(t) - 5*z(t). Factor d(b). b**3*(b + 1) Let o(f) be the first derivative of -f**3 - 24*f**2 - 192*f - 19. Factor o(r). -3*(r + 8)**2 Let h be ((-48)/64)/(9/(-24)). Let m(p) be the second derivative of 0 + 6*p - 7/6*p**4 - p**3 + 3/10*p**5 + 2*p**h + 1/3*p**6. Let m(s) = 0. Calculate s. -1, 2/5, 1 Let v(t) be the first derivative of 2*t**3/3 - 5*t**2 + 12*t - 69. Find s such that v(s) = 0. 2, 3 Let d(o) = 14*o**2 + 906*o - 895. Let a(k) = 6*k**2 + 452*k - 448. Let i(n) = -5*a(n) + 2*d(n). Factor i(b). -2*(b - 1)*(b + 225) Let k(t) be the first derivative of t**4/40 - t**3/5 - 52. Factor k(m). m**2*(m - 6)/10 Let 5 + 23/5*q**3 + 81/5*q**2 + 2/5*q**4 + 17*q = 0. What is q? -5, -1, -1/2 Let m = -100/13 - -1513/195. Let g(h) be the first derivative of m*h**6 + 1/5*h**2 + 5 + 4/15*h**3 - 1/5*h**4 - 2/5*h - 2/25*h**5. Factor g(r). 2*(r - 1)**3*(r + 1)**2/5 Let -26*q + 2*q**2 - 231 + 105 + 98 = 0. What is q? -1, 14 Factor f**2 + 18/7*f + 0 - 1/7*f**3. -f*(f - 9)*(f + 2)/7 Let h(k) be the first derivative of -5/3*k**2 + 1/9*k**3 + 3*k + 6. Factor h(m). (m - 9)*(m - 1)/3 Factor -3*u**3 + 3*u**2 - 3 + 12*u - 23*u + 14*u. -3*(u - 1)**2*(u + 1) Let d be -1 + (-2)/4*424/(-36). Factor 16/3*r**4 + d*r**3 + 2/9*r + 16/9*r**2 + 2*r**5 + 0. 2*r*(r + 1)**2*(3*r + 1)**2/9 Let j(a) = 12*a**2 + 672*a - 279. Let v(c) = 5*c**2 + 334*c - 139. Let b(f) = 5*j(f) - 9*v(f). Let b(i) = 0. Calculate i. -24, 2/5 Let x(f) = -19*f**2 + 59*f - 87. Let o(a) = 9*a**2 - 29*a + 42. Let i(k) = 9*o(k) + 4*x(k). Factor i(b). 5*(b - 3)*(b - 2) Let l(c) be the first derivative of -5*c**6/6 - 17*c**5 - 75*c**4/2 + 10*c**3/3 + 155*c**2/2 + 75*c - 4. Let l(i) = 0. What is i? -15, -1, 1 What is m in -196*m**4 + 56*m**4 - 140*m - 349*m**3 - 38*m**5 + 634*m**3 + 260*m**2 + 13*m**5 = 0? -7, -1, 0, 2/5, 2 Let a = -26 - -31. Suppose -7*c = -a - 30. Determine t so that 13/4*t**2 - 1/2*t - 13/4*t**4 - 9/4*t**3 + 11/4*t**c + 0 = 0. -1, 0, 2/11, 1 Let y(v) = -v**5 - 8*v**4 + 6*v**3 - v. Let k(m) = 3*m**5 + 14*m**4 - 13*m**3 + 3*m. Let n(j) = -4*k(j) - 7*y(j). Factor n(g). -5*g*(g - 1)**2*(g + 1)**2 Suppose 0 = 4*j + t - 13, 0*j + 4*j + 7 = 3*t. Let f be 3/4 + 0 + 2 - j. Factor -13/4*a**3 - 17/4*a**2 - 3/4*a + 1/2 + f*a**4 + a**5. (a - 2)*(a + 1)**3*(4*a - 1)/4 Let r be 6/6*((-20)/4 + 7). Factor 3*z - 1/2*z**r - 9/2. -(z - 3)**2/2 Suppose -v = 4*v + 4*v. Let f(k) be the first derivative of 4/3*k**6 + k**2 + 15/2*k**4 + 26/5*k**5 + v*k + 3 + 14/3*k**3. Factor f(q). 2*q*(q + 1)**3*(4*q + 1) Let o be 160/220 + 64/(-88). Suppose 0 - 1/6*b**4 + o*b - 1/3*b**3 - 1/6*b**2 = 0. Calculate b. -1, 0 Let q(f) be the third derivative of -1/2*f**4 - 4/3*f**3 - 14*f**2 - 1/15*f**5 + 0*f + 0. Factor q(r). -4*(r + 1)*(r + 2) Let x = -22 - -27. Factor -5*u**5 - x*u**3 + 2*u**3 + 4*u**3 + 4*u**3. -5*u**3*(u - 1)*(u + 1) Let n(q) be the third derivative of 1/120*q**6 + 1/1008*q**8 + 0*q**3 - 2*q**2 + 2/315*q**7 + 0*q - 1/45*q**5 + 0 - 1/18*q**4. Factor n(r). r*(r - 1)*(r + 1)*(r + 2)**2/3 Factor -15/2*u**3 + 0 - 18*u - 48*u**2. -3*u*(u + 6)*(5*u + 2)/2 Let h = 2193 - 2193. Factor 0*j - 3/5*j**5 + h + 0*j**2 + 0*j**3 + 1/5*j**4. -j**4*(3*j - 1)/5 Let i(c) be the third derivative of c**8/4032 + c**7/840 - c**6/1080 - 5*c**4/4 - 10*c**2. Let d(r) be the second derivative of i(r). Factor d(g). g*(g + 2)*(5*g - 1)/3 Let r = -2565 + 12841/5. Factor -2/5*n**2 + r*n - 32/5. -2*(n - 4)**2/5 Find u, given that -12*u**3 + 0*u - 35/2*u**4 + 0 - 2*u**2 = 0. -2/5, -2/7, 0 Suppose -201 = -3*r + 2*r. Let p = r - 197. Determine j, given that -2/3*j - 4/3*j**2 + 2/3*j**5 + 0 + 0*j**3 + 4/3*j**p = 0. -1, 0, 1 Factor 96/5 + 3/5*i**3 + 36/5*i**2 + 108/5*i. 3*(i + 2)**2*(i + 8)/5 Let l be (-2)/(2/(-5*(-9)/(-90))). Suppose -1/8 - 1/8*r**4 + 1/4*r**2 + r**3 - 1/2*r**5 - l*r = 0. Calculate r. -1, -1/4, 1 Let r(h) = 13*h**3 + 2*h**2 - 7*h - 11. Let g(s) = 2*s**3 - 3. Let x(q) = 6*g(q) - 2*r(q). Factor x(j). -2*(j - 1)*(j + 1)*(7*j + 2) Suppose -4/9 - 2/9*k**2 + 2/3*k = 0. What is k? 1, 2 Let t(g) be the second derivative of -2/7*g**3 + 1/35*g**5 + 0*g**4 + 35*g + 0 - 4/7*g**2. Factor t(q). 4*(q - 2)*(q + 1)**2/7 Suppose 3*b - 16 = v, 5*b - 10 = -4*v + 11. Suppose 13*h**3 + 3*h**2 - 5*h**b + 7*h**3 - 4*h**4 - 8*h + h**2 - 7*h**5 = 0. What is h? -1, 0, 2/3, 1 Let r be 504/480 + 3/(-12). Factor r - 4/5*u**2 - 3*u. -(u + 4)*(4*u - 1)/5 Let v(n) be the third derivative of -169/60*n**6 + 371293/30*n**3 + 0*n - 1/1680*n**8 + 13/210*n**7 - 28561/24*n**4 - 34*n**2 + 0 + 2197/30*n**5. Factor v(p). -(p - 13)**5/5 Suppose 21*u + 3581 = 3581. Let p(h) be the second derivative of -1/12*h**3 + 3/8*h**2 - 1/48*h**4 + u - 2*h. Suppose p(t) = 0. What is t? -3, 1 Suppose 5*m - 300 = 5*n, 0 = -3*m + 1 + 2. Let c = n - -181/3. Factor 1/3*s**2 - 4/3*s + c. (s - 2)**2/3 Let m be -2*-1*3 - 0. Let k = 270 - 269. Suppose k + 3 + m*v - 18*v**2 + 8*v = 0. Calculate v. -2/9, 1 Let o(u) be the third derivative of u**8/336 - u**7/105 - u**6/8 + 2*u**5/15 + 17*u**4/6 + 8*u**3 + 59*u**2. Determine f so that o(f) = 0. -2, -1, 3, 4 What is r in 222/13*r**2 + 24/13 - 112/13*r**3 + 18/13*r**4 - 152/13*r = 0? 2/9, 1, 2, 3 Suppose 2/7*s - 27/7*s**3 + 0 + 18/7*s**4 + s**2 = 0. Calculate s. -1/6, 0, 2/3, 1 Let x be 4/2 + 6/(-2). Let q(f) = f**2 - f + 1. Let d(p) = -16*p**2 - 29*p + 5. Let b(h) = x*d(h) - 4*q(h). Determine w, given that b(w) = 0. -3, 1/4 Let s(r) be the third derivative of r**8/336 + 19*r**7/525 + 13*r**6/75 + 28*r**5/75 + 2*r**4/15 - 16*r**3/15 - 72*r**2. Factor s(w). (w + 2)**4*(5*w - 2)/5 Let u be 150/105*(-3 - -1 - -9). Suppose 4*d - 5*d + 5*h + 10 = 0, 0 = 2*h + 4. Factor -5*t**3 + 141*t - 10 + u*t**2 + d*t**3 - 136*t. -5*(t - 2)*(t - 1)*(t + 1) Let g = 261690/7 - 37301. Let o = g - 83. Factor 2/7*t**2 - o*t + 0. 2*t*(t - 1)/7 Let q(l) = -l**3 - 10*l**2 - 8*l + 3. Let f be q(-9). Let n = f + 9. Factor -12*u + 18*u - u**3 + 3*u**3 + u**n + 9*u**2. 3*u*(u + 1)*(u + 2) Let d(k) = -20*k**2 + 12*k - 3. Let z = -16 - -10. Let a(n) = 5*n**2 - 3*n + 1. Let f(m) = z*d(m) - 22*a(m). What is j in f(j) = 0? -2/5, 1 Let h(g) be the first derivative of -g**4/4 - g**3 + g**2/2 + 3*g - 85. Suppose h(m) = 0. Calculate m. -3, -1, 1 Let h(b) be the second derivative of 5/126*b**7 + 5/18*b**3 + 6*b + 0*b**6 + 0*b**2 - 1/6*b**5 + 0*b**4 + 0. Factor h(n). 5*n*(n - 1)**2*(n + 1)**2/3 Let b(v) = -v**2 - 5*v - 3. Let w be b(-2). Let c be 4/11*1518/92. Find j, given that -6 - c*j + 3/2*j**w + 3/2*j**2 = 0. -2, -1, 2 Suppose -4*j + 13 = 333. Let x = -77 - j. Determine l so that -4/9*l**2 + 0 + 2/9*l + 2/9*l**x = 0. 0, 1 Let x(l) be the second derivative of -l**5/60 + 16*l**4/9 - 1085*l**3/18 + 961*l**2/3 + 176*l. What is a in x(a) = 0? 2, 31 Let c be (30/(-96))/(24/(-192)). Factor -25/4 - 1/4*m**2 + c*m. -(m - 5)**2/4 Let 3*x + 5/4*x**4 + 0 - 7/4*x**3 - 7*x**2 = 0. Calculate x. -2, 0, 2/5, 3 Suppose 24 + 18 = 27*s - 6*s. Factor -1/5*y**s + 0 - 3/5*y. -y*(y + 3)/5 Suppose 157212*h = 157219*h. Find c such that 8/5*c**4 + 2/5*c**2 + 0 + 2*c**3 + h*c = 0. -1, -1/4, 0 Suppose -6*b - 11 = -17. Let u(j) = -j**2. Let y(l) = -5*l**2 - 8*l. Let w(h) = b*y(h) - 3*u(h). Factor w(f). -2*f*(f + 4) Let o(d) = -d**3 + d**2 + 3*d. Let f be o(2). Factor -l**2 + 3*l**f + 0*l**2. 2*l**2 Let i be 12/(-32) + (-842)/(-112) + -6. Solve 4/7*a**2 - i - 4/7*a = 0 for a. -1, 2 Let g be (-6)/(-2)*((-4)/(-6) + 0). Let s = 447/5 - 4857/55. Determine n so that -24/11*n - s*n**g - 2/11*n**3 - 16/11 = 0. -2 Factor -37*x**2 + 223*x**2 + 5400 - 1912*x - 3*x**3 - 893*x - 255*x. -3*(x - 30)**2*(x - 2) Let p(s) = -2*s**3 + s**2 + s. Let h be p(-1). Let u = 2 - -1. Factor o + u*o**2 + 3*o**h - 3*o**3 - 4*o. -3*o*(o - 1)**2 Suppose 57*a**3 + a**5 + 104*a**3 - 16*a**3 + 216 + 142*a + 20*a**4 + 398*a + 0*a**5 + 450*a**2 = 0. Calculate a. -6, -1 Let m(h) be the third derivative of h**5/30 - 67*h**4/6 + 4489*h**3/3 - 58*h**2 + 2*h. Factor m(u). 2*(u - 67)**2 Let l(v) be the first derivative of -4*v**3/15 - 6*v**2/5 + 105. Factor l(b). -4*b*(b + 3)/5 Let o(l) be the first derivative of l**5/10 - l**4/8 - 5*l**3/6 - 3*l**2/4 + 195. Factor o(s). s*(s - 3)*(s + 1)**2/2 Let g(d) be the first derivative of -7*d**3/12 - 2*d**2 - d - 87. Find t, given that g(t) = 0. -2, -2/7 Factor -56/13*k - 8/13*k**2
{ "pile_set_name": "DM Mathematics" }
the nearest one thousand. -30000 What is -932432419 rounded to the nearest 1000000? -932000000 What is -0.0000083254933 rounded to five dps? -0.00001 Round -585087204.8 to the nearest 100000. -585100000 What is 0.0389618723 rounded to 3 dps? 0.039 Round 0.00080730076 to four decimal places. 0.0008 Round -0.0794263329 to 6 decimal places. -0.079426 What is -0.0000843801087 rounded to 7 decimal places? -0.0000844 Round 12830.24205 to the nearest one thousand. 13000 What is -0.0000136516311 rounded to 7 dps? -0.0000137 What is 383426.01 rounded to the nearest one thousand? 383000 Round -0.01928956571 to four decimal places. -0.0193 Round 0.0000212848026 to 6 dps. 0.000021 What is -11229674.22 rounded to the nearest 1000? -11230000 Round -1084091721 to the nearest 1000000. -1084000000 What is -0.018643054 rounded to 3 dps? -0.019 What is 258786827.8 rounded to the nearest 10000? 258790000 What is 2.62123075 rounded to 1 dp? 2.6 What is 13273.42211 rounded to the nearest 100? 13300 What is 0.0210681304 rounded to three dps? 0.021 What is 0.00000145216447 rounded to 7 decimal places? 0.0000015 Round -0.002573881821 to five decimal places. -0.00257 What is -155.1692986 rounded to the nearest 10? -160 What is -0.0000101253352 rounded to six decimal places? -0.00001 What is 0.00765704347 rounded to three decimal places? 0.008 Round 1147686.921 to the nearest 10000. 1150000 What is -8649212.31 rounded to the nearest 100000? -8600000 Round 0.0000030656998 to seven dps. 0.0000031 Round -166054.224 to the nearest one thousand. -166000 What is 94860.95493 rounded to the nearest ten thousand? 90000 Round -1422817.3373 to the nearest 10. -1422820 What is -423370954.1 rounded to the nearest ten thousand? -423370000 What is -0.31320939 rounded to 4 decimal places? -0.3132 What is 0.0000184787394 rounded to seven decimal places? 0.0000185 What is -0.01814104517 rounded to 6 dps? -0.018141 Round 14.45724878 to 1 decimal place. 14.5 Round -0.000279901408 to six decimal places. -0.00028 Round 0.016745438583 to 7 decimal places. 0.0167454 What is 0.724450523 rounded to 3 decimal places? 0.724 Round 0.00000083618353 to 7 decimal places. 0.0000008 Round -19.910117 to the nearest 10. -20 What is 0.3384140208 rounded to two dps? 0.34 Round -0.0017324751829 to five decimal places. -0.00173 Round -1796.51131 to the nearest integer. -1797 What is 0.159339781 rounded to 5 decimal places? 0.15934 What is -0.1359804833 rounded to 5 decimal places? -0.13598 Round 775506.13 to the nearest 100. 775500 Round -26633.0599 to the nearest 1000. -27000 Round -1769806.3762 to the nearest 100000. -1800000 What is 0.002277547885 rounded to 4 dps? 0.0023 Round 13367.985 to the nearest ten. 13370 Round -0.0000124203689 to 6 dps. -0.000012 What is -119.81255 rounded to 1 dp? -119.8 What is 0.000101342166 rounded to seven decimal places? 0.0001013 What is -1718402.4887 rounded to the nearest 10000? -1720000 What is -0.3434315142 rounded to four decimal places? -0.3434 What is 0.00000016094025 rounded to seven dps? 0.0000002 Round -10.5730524 to one decimal place. -10.6 Round 0.0002743314 to seven dps. 0.0002743 Round -326873.258 to the nearest one thousand. -327000 Round 3964841.12 to the nearest ten thousand. 3960000 What is 0.0001511026755 rounded to five dps? 0.00015 What is 58350.1945 rounded to the nearest 10? 58350 Round -4274.970519 to 0 decimal places. -4275 What is 20405654.9 rounded to the nearest ten thousand? 20410000 What is -1.5928222 rounded to one dp? -1.6 Round 12.230636217 to four dps. 12.2306 What is -77355.33417 rounded to the nearest integer? -77355 Round 0.220294051 to five decimal places. 0.22029 Round 305740443 to the nearest 10000. 305740000 What is -4061.965 rounded to the nearest 10? -4060 What is 303809.454 rounded to the nearest 10? 303810 What is -2.45517792 rounded to 3 dps? -2.455 What is 11055028.3 rounded to the nearest one million? 11000000 Round -32.2454653 to 1 dp. -32.2 Round -27743.50815 to the nearest ten. -27740 Round 1708.716585 to the nearest one hundred. 1700 Round 9.89350636 to one dp. 9.9 What is 8130274.167 rounded to the nearest 1000000? 8000000 Round -0.01226236261 to 4 dps. -0.0123 What is 22.4792 rounded to one dp? 22.5 Round 266.53957 to the nearest integer. 267 Round -21520599.79 to the nearest 1000. -21521000 What is 0.003127196972 rounded to six decimal places? 0.003127 What is 3857.54562 rounded to the nearest ten? 3860 What is -0.003700435404 rounded to five decimal places? -0.0037 Round 0.2515693013 to three decimal places. 0.252 What is -22.47669756 rounded to two decimal places? -22.48 What is 0.35314203 rounded to four decimal places? 0.3531 Round -0.561837991 to 2 decimal places. -0.56 What is -0.0000004710842 rounded to 7 decimal places? -0.0000005 Round -2058102.24 to the nearest one hundred thousand. -2100000 Round -438368090 to the nearest 100000. -438400000 Round -17527016 to the nearest ten thousand. -17530000 What is -8989.52012 rounded to zero dps? -8990 What is -0.0047246777 rounded to four decimal places? -0.0047 What is -0.000005428156375 rounded to 6 decimal places? -0.000005 What is 0.0020395484971 rounded to 4 dps? 0.002 Round -569562793.3 to the nearest 1000000. -570000000 Round -0.80328951 to 2 dps. -0.8 Round -0.4796037897 to 2 decimal places. -0.48 What is 0.0002369776736 rounded to five decimal places? 0.00024 Round 1.905644658 to 3 dps. 1.906 What is -315017300 rounded to the nearest 1000000? -315000000 Round -4470.553907 to 1 dp. -4470.6 What is -72.9765966 rounded to the nearest 10? -70 What is -0.0852876589 rounded to 4 dps? -0.0853 Round 341198.999 to the nearest one hundred. 341200 What is -0.00003353989923 rounded to 7 decimal places? -0.0000335 What is -7336214 rounded to the nearest 10000? -7340000 Round 5627230440 to the nearest 1000000. 5627000000 What is 0.0022537535 rounded to 4 dps? 0.0023 Round -21.32901534 to four decimal places. -21.329 What is -2271.86193 rounded to the nearest 10? -2270 Round 97.518663 to the nearest integer. 98 What is 778.138423 rounded to the nearest 10? 780 Round -53949.86763 to the nearest ten. -53950 What is -30.08250808 rounded to 3 decimal places? -30.083 Round -87369.679 to the nearest ten thousand. -90000 Round 0.000001836824375 to 7 dps. 0.0000018 Round 782933.215 to the nearest one thousand. 783000 Round -43.575689 to 3 dps. -43.576 What is 0.000217287101 rounded to 4 decimal places? 0.0002 What is -0.0212408992 rounded to four decimal places? -0.0212 Round -0.0000005130371074 to seven decimal places. -0.0000005 Round 0.7706555342 to five decimal places. 0.77066 What is 6.01115644 rounded to 0 decimal places? 6 Round 28071.4832 to the nearest one hundred. 28100 What is 0.001128165942 rounded to five decimal places? 0.00113 Round 0.001600015797 to seven dps. 0.0016 Round -10565.695916 to the nearest one hundred. -10600 Round -502497.27 to the nearest 1000. -502000 Round -5.4758849 to 1 decimal place. -5.5 Round 1161464160 to the nearest one hundred thousand. 1161500000 Round -4082521.2 to the nearest one hundred thousand. -4100000 What is -660.746195 rounded to the nearest 10? -660 Round 30333.1012 to the nearest one thousand. 30000 Round 1674457235 to the nearest 100000. 1674500000 What is 12911575.69 rounded to the nearest 100000? 12900000 Round 0.000179190649 to 5 dps. 0.00018 What is -121839262 rounded to the nearest one hundred thousand? -121800000 What is 15.938023 rounded to two decimal places? 15.94 What is 0.00039406756 rounded to 4 dps? 0.0004 What is 1832.6977847 rounded to the nearest one hundred? 1800 What is -0.0107002318 rounded to three decimal places? -0.011 Round 889.857049 to the nearest integer. 890 What is 2.94388397 rounded to 3 dps? 2.944 Round 37940.4726 to the nearest one hundred. 37900 Round -10906787.8 to the nearest ten thousand. -10910000 What is -0.1441207432 rounded to five dps? -0.14412 Round -62934.5485 to the nearest one hundred. -62900 Round -742117.8407 to the nearest 10. -742120 Round -246.3895 to the nearest 1000. 0 Round 859430620 to the nearest one hundred thousand. 859400000 Round -1.080489191 to two decimal places. -1.08 Round -4305.044845 to 0 decimal places. -4305 Round -1.192946696 to 1 decimal place. -1.2 Round 467
{ "pile_set_name": "DM Mathematics" }
0.5 (c) r a Suppose 11*i - 10 = 6*i. Suppose 3*u + 11 = -4*d, -4*d + d - 4*u = 17. Let f = d + i. Which is the nearest to -0.1? (a) 4 (b) f (c) -0.5 c Let y(i) = -i**3 - 5*i**2 - i - 2. Suppose 0 = -3*n + 2 - 17. Let z be y(n). Let q = 0.66 + -0.56. Which is the closest to 1? (a) -2 (b) z (c) q c Let t = -5 - -1. Let s be 2/(-2)*t/14. Let p = 11/30 - 7/6. Which is the closest to 0? (a) s (b) p (c) -4 a Let b = -0.3 - -1.3. Let z = -3.4 - -3.1. What is the closest to b in z, -1, 0? 0 Let w = 2 - 2.1. Let s = -0.119 - -1.119. Which is the closest to 1? (a) 0.1 (b) s (c) w b Let t = -4 - -4.2. Let n = t + 0.3. Let x = -9 + 14. Which is the closest to -1? (a) 4 (b) n (c) x b Let g = 0.5 + -2.5. Let c(y) = -y**3 - 4*y**2 - 2*y - 11. Let u be c(-4). What is the closest to 0.1 in g, u, -4? g Let r be (5/((-55)/(-2)))/(-1). Let v = 0.2 + 0. Which is the nearest to 0? (a) v (b) r (c) -4 b Let s = -0.03 + -0.17. Let j = -4 + 16. Let g = 11 - j. What is the nearest to s in -5, 0, g? 0 Let q = -4/55 - -26/55. Let o = 0.86 - 0.16. Let t = o - 1. Which is the closest to q? (a) -1/2 (b) t (c) 2/9 c Let u = 0.2 + -0.6. Let l = u - -0.5. Let d = 187/931 - 15/49. Which is the closest to l? (a) 2/5 (b) 2/17 (c) d b Let z = -29/6 - -13/3. Let v be 1086/(-9)*(-102)/(-28588). Let m = -2/1021 - v. Which is the nearest to z? (a) 3/5 (b) m (c) -2/9 c Let i = -0.96 + -0.04. Let r be (4/(-21))/((-18)/(-27)). Which is the closest to i? (a) -2/11 (b) 1 (c) r c Let d be ((-2)/(4/2))/1. Let s = 8.6 - 9. Let x be (-2)/20 - (-6)/(-15). Which is the nearest to -0.1? (a) s (b) x (c) d a Let i(p) = 2*p - 1. Suppose 0 = -5*v - 1 - 4. Let h be i(v). Let r = 3 - 2. Which is the nearest to r? (a) -2 (b) 2/11 (c) h b Let o = -0.472 + -0.028. Which is the nearest to 3? (a) 0.1 (b) 4 (c) o b Let d = -1.4 + 5.4. Let g = 8.9 + -9. What is the nearest to g in -0.1, d, 0? -0.1 Let x be 7/(-5) - (0 + 0). Let q = 2/6675 - 44063/26700. Let j = x - q. Which is the closest to j? (a) -3/7 (b) 1 (c) 5 a Suppose 2*u = 3*y - 10 + 3, 5*u = -5*y + 20. Suppose s - 5 = 0, -20 = -4*p + 3*p - y*s. Which is the closest to 2? (a) p (b) -2 (c) 0.5 c Let d = 0.5 - 0. Suppose -4*r + 0*r = 48. Let u = -14 - r. What is the closest to 0 in d, 5, u? d Let d = 1.1 - 1. Let a = d - -4.9. Let y = -0.8 - 0.2. What is the closest to y in 1/2, -3, a? 1/2 Suppose 5 = -2*d - 1. Let m = -40.9 - -41. Which is the nearest to m? (a) d (b) -5 (c) 4 a Let k = 2.5 - 3. Let s = -7.5 + k. Let v = -7.7 - s. Which is the nearest to -2/3? (a) 1/4 (b) 0 (c) v b Let r = 72 + -41. Let t = r + -159/5. What is the closest to 2/3 in -4, t, -0.4? -0.4 Let c = 0.053 - 0.353. What is the closest to 2 in 0.1, -2/3, c? 0.1 Let w(m) = 2*m + m - 2*m - 3. Let i be w(8). What is the nearest to -1/5 in -3/5, i, 0.1? 0.1 Let s = -0.56 + 0.06. Let d = 3 + -2.9. What is the closest to 1 in d, s, -3? d Let a = -1 + 0. What is the nearest to 1 in a, -2, -0.2? -0.2 Let d = -3.8 - -3.3. Which is the nearest to d? (a) -0.4 (b) 1/3 (c) -4 a Let q = -1.949 - 0.051. Which is the closest to 0.09? (a) -4 (b) 0 (c) q b Let d = -13 + 8. Let v = -8 - d. Let y = v + 7/3. Which is the nearest to -0.1? (a) 3 (b) y (c) -2/5 c Let l = -27/2 + 14. Suppose -3*s = -h + 6, 0*s - 27 = 5*s + 4*h. Let u = -5.09 - -0.09. What is the nearest to l in -0.4, s, u? -0.4 Let h be (0 - -2) + -5 + 4. Let p be 1/12 + (-1)/4. What is the nearest to h in p, -4, 0? 0 Let t be (-1)/4 - 19/(-44). Let u = -0.03 - -21.03. Let v = -24 + u. What is the nearest to -2/3 in -5, t, v? t Let l = -524/7 + 75. What is the closest to 0 in l, -0.2, 4? l Let f be 0 - (-3 + 2 - 12/(-15)). Let i = -17/2 - -67/8. Let n = 0 - 0.4. What is the closest to 1 in i, n, f? f Let p be 10/4*(-8)/30. Let m = -0.035 + -2.065. Let f = -2 - m. Which is the closest to -0.1? (a) -2 (b) f (c) p b Let d = 5.5 - 5. Let j = -0.03 - -0.03. Which is the closest to j? (a) d (b) 2/13 (c) -1 b Let s = 13.7 + -14. Which is the nearest to 0? (a) s (b) 2 (c) -9 a Let i = -17 + 4. Let q = 8 + i. What is the closest to 1/3 in q, 0.4, 3/2? 0.4 Let k = 16 + -16.1. What is the nearest to 0.1 in k, -1/4, -3? k Let p(x) = x**3 - 7*x**2 - 2. Let f be p(7). Let w be 2/10*2/2. Let d(k) = k**2 - 5*k + 5. Let b be d(4). What is the nearest to b in -2/3, w, f? w Let p = -16 + 16.1. Let u = p - 0.2. Which is the nearest to 1/6? (a) 0.3 (b) u (c) -0.4 a Let x = 0.2 + -0.4. Let j = -0.24 - 9.76. Let p = j - -9.9. Which is the nearest to 0.1? (a) p (b) x (c) 1 a Let i be (-7 + 6)/((-2)/3). What is the nearest to 0.1 in i, 3, -0.5? -0.5 Suppose 3*j = -5 - 4. Let o be ((-2)/j)/(1/9). Let m be o/((-5)/((-10)/4)). Which is the closest to -0.2? (a) m (b) -2 (c) -1 c Let y(i) = -3*i - 9. Let b be y(-2). What is the nearest to b in -0.4, -1, 0.1? -1 Let h = -0.2 - -0.7. Let q = h - 0. Which is the closest to -0.1? (a) q (b) 4 (c) -2/19 c Suppose 0 = 5*r - 2*r. Let m = 1.5 - 1. What is the closest to r in 4/3, m, -1? m Let s = -5 + 10. Suppose -5*f + 2*d - 11 = 0, -f - d + 1 = -1. Let j = f - -1. What is the closest to 1 in j, s, 3? j Suppose -2*y = l, 4*l - y + 4 = -5*y. Let w = 2 + l. Let f = 36 + -36. Which is the closest to f? (a) w (b) -2/5 (c) 3 a Let t be (-22)/(-10) - (-1 + 3). Let v be (4/10)/(19/5). Let a be 40/(-18) + 8/4. What is the closest to t in 2, a, v? v Let j be 166/7 - (-6)/21. Let l = j + -70/3. What is the closest to -0.1 in l, -2, -0.5? -0.5 Let k = 75 + -74.9. Which is the closest to k? (a) 1/2 (b) -0.2 (c) 3/2 b Let h = -13 + 6. Let g = 6.9 + h. Which is the closest to g? (a) -3 (b) 1/8 (c) 0.5 b Let d = -0.1 - -1.1. Suppose 0 = 12*w - 7*w + 5. What is the nearest to w in d, -0.2, -0.4? -0.4 Let r = -10 - -9.7. Let z = 38 - 115/3. Which is the nearest to 0? (a) z (b) r (c) -0.1 c Suppose 5*v + 3 = -r, 5*r + 0*r = -2*v + 8. Let f be (r - 2) + 6/(-2). What is the nearest to 1 in f, 1, 2/11? 1 Let j = 1.24 + -0.24. Suppose -5*l = 5, -2*h - 2*l + 2 = -6*l. What is the closest to j in 0.5, -3/4, h? 0.5 Let x = 45.4 - 46. Which is the nearest to 2/7? (a) -3 (b) x (c) -2 b Let f be ((-8)/(-16))/((-1)/(-8)). Let k = 6 + -6.4. Let n = k + 0.5. What is the closest to n in 3, f, -0.5? -0.5 Let x = 0.02 + -0.02. Let l = -3 + x. What is the closest to -2/5 in -4, 0, l? 0 Let p = 28 + -18. Let y = -7 + p. What is the closest to 1 in 2/21, -2, y? 2/21 Let g = 69 + -69. Which is the closest to g? (a) 5 (b) -2/9 (c) -3 b Let p = -5.94 + -0.06. Let v = -8 - p. Which is the closest to v? (a) -2 (b) -0.4 (c) 4/5 a Let x = -6 - -5. Let t = -9 + 6. Let z = 2.6 + t. Which is the closest to x? (a) z (b) -5 (c) 5 a Let v = -0.8 - -0.4. Let f = 0.5 + v. Let z = 169 - 503/3. Which is the closest to f? (a) -0.1 (b) -1 (c) z a Let j = -88.91 - 4.19. Let t = j - -89. Let v = 4 + t. What is the closest to 1 in -3/4, -1, v? v Suppose -2*i - 4*t - 12 - 10 = 0, -15 = 5*t. Which is the nearest to 0.1? (a) i (b) -3 (c) 5 b Let q(k) = k + 14. Let u be q(-8). Let b be (12/(-24))/(u/(-4)). What is the closest to 1 in b, 0.5, -0.1? 0.5 Let w(k) = k**3 - 4*k**2 + k - 5. Let q be w(4). Let t be 0/(4 + (-3 - q)). Let x = 0.4 - 0.2. Which is the nearest to -2? (a) -2/13 (b) t (c) x a Let p = 3 - 2.97. Let u = 0.2 - 0.23. Let z = u + p. What is the closest to z in -0.2, -0.5, -3/2? -0.2 Let d = -0.6 - -0.5. What is the nearest to d in 2, -2/3, 2/5? 2/5 Let f(s) = s**3 - 3*s**2 - 3*s + 1. Let i be f(4). Let v = i + -5. Which is the nearest to v? (a) 3 (b) -1/5 (c) -0.3 b Let w = -1.65 + 4.25. What is the closest to w in -1, -5, -3? -1 Let g = 0.2 - 0. Let o = 0 - g. Let j = -11 + 6. Which is the closest to 2/5? (a) 5 (b) o (c) j b Suppose -1 = -d + 3*l, 4*l = d - 6 + 4. Which is the nearest to d? (a) 0 (b) 2/7 (c) -5 a Suppose 0 = 2*x + 4 + 4, -5*x - 428 = -j. Let k be 2/(-12) + 20/j. Which is the closest to 1/3? (a) k (b) -0.3 (c) 4 a Let h(p) = p**2 - p + 2. Let j be h(2). Let n = 72.1 - 72. Which is the nearest to n? (a) j (b) 0.4 (c) -3 b Let i be ((-1)/2 - 0)/(1*2). Which is the closest to 1? (a) -0.07 (b) i (c) 1 c Let g(i) = i**3 + 5*i**2 - 6*i - 1. Let x be g(-6). What is the nearest to x in 0.1, -0.4, -0.3? -0.4 Let o = 108 - 108. Le
{ "pile_set_name": "DM Mathematics" }
? True Is 5587 a prime number? False Is 653 prime? True Is 643949 a composite number? False Is 27065 composite? True Is 137963 prime? False Is 653743 a composite number? False Is 314927 prime? True Is 50087 a prime number? True Is 34583 a prime number? True Is 3989 a composite number? False Is 24749 composite? False Is 468737 composite? False Is 404123 a composite number? False Is 5789 a composite number? True Is 9967 prime? True Is 31835 a composite number? True Is 3281447 composite? True Is 497093 a composite number? False Is 34663 a composite number? True Is 6689 prime? True Is 9277 a composite number? False Is 33457 composite? False Is 2208491 prime? True Is 8623 composite? False Is 27179 composite? False Is 278543 a prime number? True Is 14071 prime? True Is 18797 a composite number? False Is 22229 composite? False Is 424519 prime? True Is 11591 a composite number? True Is 72859 a composite number? False Is 188489 prime? False Is 100169 a composite number? False Is 2499927 composite? True Is 1133731 composite? False Is 23239 a composite number? True Is 12721 a composite number? False Is 88991 composite? True Is 1367 a composite number? False Is 63419 a composite number? False Is 346661 prime? False Is 183697 a composite number? False Is 1234 composite? True Is 391661 prime? True Is 123949 prime? False Is 1931 a composite number? False Is 525241 composite? False Is 919223 composite? False Is 570161 a composite number? False Is 260749 prime? False Is 219119 a prime number? True Is 172849 prime? True Is 3711 composite? True Is 2424935 composite? True Is 10379 composite? True Is 57347 a prime number? True Is 205867 prime? False Is 93211 a prime number? False Is 23789 composite? False Is 87929 prime? False Is 51323 prime? False Is 50027 prime? False Is 23169 a prime number? False Is 28123 a prime number? True Is 224563 a composite number? False Is 13847 a composite number? True Is 4229 a prime number? True Is 527 prime? False Is 50497 prime? True Is 359077 a prime number? False Is 67547 composite? False Is 974 a composite number? True Is 122443 a composite number? False Is 59113 a prime number? True Is 40739 prime? True Is 22217 prime? False Is 6803 a composite number? False Is 9383 a composite number? True Is 316913 prime? False Is 118453 a prime number? True Is 2143457 prime? False Is 15229 prime? False Is 35831 a prime number? True Is 104389 prime? False Is 158443 a prime number? True Is 342929 a prime number? True Is 30757 a composite number? False Is 9197 a prime number? False Is 1239341 composite? False Is 1319 a composite number? False Is 35339 a composite number? False Is 499846 a prime number? False Is 61373 a composite number? True Is 412249 prime? True Is 4603 composite? False Is 10529 a composite number? False Is 107309 prime? True Is 9793 composite? True Is 1470745 composite? True Is 36649 prime? False Is 20231 prime? True Is 9901 prime? True Is 976951 a composite number? False Is 61121 a prime number? True Is 302079 a composite number? True Is 96029 composite? True Is 32378 a prime number? False Is 424679 a composite number? False Is 51179 a prime number? False Is 3863 a composite number? False Is 13917 a prime number? False Is 28189 a composite number? True Is 178319 a composite number? True Is 2879 a composite number? False Is 25735 composite? True Is 185095 a prime number? False Is 1726 prime? False Is 7739 a prime number? False Is 211583 a prime number? True Is 1801 composite? False Is 19031 a prime number? True Is 717659 prime? True Is 240089 prime? True Is 48731 composite? False Is 5899 a prime number? False Is 127 a composite number? False Is 1473515 composite? True Is 148079 a composite number? False Is 3011 composite? False Is 42221 prime? True Is 7705229 prime? False Is 25427 a prime number? False Is 177563 a composite number? True Is 26627 a composite number? False Is 52613 composite? True Is 382039 prime? False Is 21767 prime? True Is 110711 prime? True Is 82019 a composite number? True Is 172957 composite? True Is 4405 composite? True Is 315127 prime? True Is 42589 prime? True Is 54193 a composite number? False Is 71571 composite? True Is 11127 a composite number? True Is 17837 prime? True Is 472769 composite? True Is 233069 composite? False Is 618207 a composite number? True Is 390263 composite? False Is 1161451 prime? False Is 1973 composite? False Is 31523 prime? False Is 2319 composite? True Is 122407 composite? True Is 59941 prime? False Is 75219 a prime number? False Is 3977 composite? True Is 613 prime? True Is 12251 a prime number? True Is 55073 composite? False Is 273419 composite? True Is 85411 a prime number? True Is 514207 a composite number? True Is 792445 a composite number? True Is 2395 a prime number? False Is 1673 composite? True Is 105751 a prime number? True Is 29333 prime? True Is 1637 composite? False Is 591485 a composite number? True Is 79 composite? False Is 93161 composite? True Is 653 prime? True Is 1959659 a prime number? False Is 541 a prime number? True Is 165701 a prime number? True Is 357793 a prime number? True Is 81311 composite? True Is 37931 a prime number? False Is 30737 a composite number? True Is 104309 a composite number? False Is 17054 a prime number? False Is 2305 prime? False Is 28477 prime? True Is 11113 a composite number? False Is 188171 prime? True Is 62039 prime? True Is 22579 prime? False Is 858965 a composite number? True Is 3132887 a prime number? True Is 3269681 a composite number? False Is 9863 composite? True Is 46301 prime? True Is 16495 a prime number? False Is 77929 a composite number? False Is 255413 a composite number? False Is 79589 composite? False Is 217207 prime? True Is 6619 a composite number? False Is 21214 a prime number? False Is 20047 prime? True Is 300463 prime? True Is 51151 a prime number? True Is 231995 a prime number? False Is 236813 a prime number? True Is 368689 a composite number? False Is 368351 a prime number? False Is 6107 composite? True Is 40459 composite? False Is 2291 a composite number? True Is 16535 a composite number? True Is 4853 a composite number? True Is 25523 composite? False Is 28901 a prime number? True Is 2149 a prime number? False Is 23773 a composite number? False Is 893753 a prime number? False Is 541 prime? True Is 218069 composite? False Is 286985 a prime number? False Is 8301 composite? True Is 675713 prime? True Is 283853 prime? False Is 136963 a prime number? True Is 19631 a prime number? False Is 557117 a composite number? True Is 48005 prime? False Is 11647 a prime number? False Is 3047 composite? True Is 4508329 a prime number? False Is 353293 a composite number? False Is 977 a prime number? True Is 3874369 composite? False Is 11311 prime? True Is 1015262 a prime number? False Is 30399 composite? True Is 135301 composite? False Is 10831 prime? True Is 7741 composite? False Is 34681 a prime number? False Is 13609 prime? False Is 296501 composite? True Is 20014 a prime number? False Is 20807 a composite number? False Is 42779 composite? True Is 17165 a composite number? True Is 423397 composite? True Is 304687 composite? False Is 10771 a prime number? True Is 9059 prime? True Is 2155 a prime number? False Is 61801 a composite number? True Is 42727 a prime number? True Is 77114 prime? False Is 5071 prime? False Is 5269 a prime number? False Is 145387 composite? True Is 5158763 composite? False Is 1036787 composite? False Is 147635 composite? True Is 18013 a prime number? True Is 122639 prime? False Is 628799 composite? False Is 605671 composite? True Is 1323089 a prime number? False Is 66029 composite? False Is 47903 a composite number? False Is 37946 prime? False Is 129205 a prime number? False Is 614099 a prime number? False Is 6331 prime? False Is 107443 composite? True Is 72799 a composite number? True Is 17071 a prime number? False Is 8887 composite? False Is 676349 prime? True Is 38089 a composite number? True Is 460547 a prime number? False Is 6733 prime? True Is 109 prime? True Is 449 a composite number? False Is 485249 a composite number? True Is 2203 a prime number? True Is 329 composite? True Is 125017 a composite number? False Is 143687 prime? True Is 1334813 composite? False Is 43387 composite? True
{ "pile_set_name": "DM Mathematics" }
2 Let s(a) = -3*a + 3. Let c(j) = 3*j - 2. Calculate -4*c(y) - 3*s(y). -3*y - 1 Let o(l) = 2*l - 4. Let d be o(6). Let c(a) = -6*a + 2. Let b(h) = -2*h + 1. Determine d*b(y) - 3*c(y). 2*y + 2 Let a(o) = 2*o + 4. Let k be (6/(-9))/(2/(-9)). Let u(w) = -9*w - 7. Let r(c) = 17*c + 14. Let b(t) = 6*r(t) + 11*u(t). What is k*b(m) - 5*a(m)? -m + 1 Let z(v) = 7*v**3 - 2*v**2 + 6*v. Let q(t) = -t**3 - t. Let y(b) = 4*q(b) + z(b). Let w(n) = -16*n**3 + 10*n**2 - 11*n. What is -2*w(d) - 11*y(d)? -d**3 + 2*d**2 Let j(x) = 10. Let p(i) = i - 19. What is -5*j(f) - 3*p(f)? -3*f + 7 Let r(s) = -3*s - 3. Let w(d) = -7*d - 6. What is 5*r(a) - 2*w(a)? -a - 3 Let d(c) = c**3 + c**2. Let u(n) = -15*n**3 - 18*n**2. Calculate -18*d(i) - u(i). -3*i**3 Suppose -2*y - 4 = -v, -v - 8 - 12 = 4*y. Let c(h) = 7*h**3 - 3*h**2 + 6*h + 5. Let d(a) = 6*a**3 - 2*a**2 + 5*a + 4. What is v*c(x) + 5*d(x)? 2*x**3 + 2*x**2 + x Let d(i) be the first derivative of -2*i**3/3 - i**2 - i - 1. Let f(y) = 3*y + 6. Let x be f(-7). Let l = x + 17. Let m(a) = a**2 + a. Give l*d(p) + 6*m(p). 2*p**2 + 2*p - 2 Let u(n) = -6*n**2 + 3 - 7*n**3 + 7 - 10. Let r(t) = 8*t**3 + 10*t**2 - 2*t**3 - 5*t**2. What is 6*r(s) + 5*u(s)? s**3 Let s(l) = l**2 - 3*l - 1. Let y(o) = 4*o**2 - 13*o - 5. Let q(g) = 4*g**2 + 1. Let w be q(2). Let r = w - 19. What is r*y(n) + 9*s(n)? n**2 - n + 1 Let x(c) = 5*c - 1 - 2 - 6*c + 4*c. Let i(y) = 16*y - 16. Determine 2*i(u) - 11*x(u). -u + 1 Let r(w) = -6 - 8 + 9*w + 5. Let q(m) = m**3 - 7*m**2 + 4*m + 7. Let f be q(6). Let o(h) = 13*h - 13. Determine f*o(i) + 7*r(i). -2*i + 2 Let w(i) = 3*i**2 + 5*i - 5. Let y(v) = v**2 + 3*v - 8. Let c(u) = -1. Let z(l) = -5*c(l) + y(l). Determine -3*w(o) + 5*z(o). -4*o**2 Let q(w) = w - 4. Let d(c) = -5. What is -6*d(j) + 7*q(j)? 7*j + 2 Let r(m) = 6*m + 4. Let l(n) = -13*n - 9. Let k(h) = -3*l(h) - 7*r(h). Let x(p) = 2*p + 1. Give 3*k(t) + 5*x(t). t + 2 Let d(c) = c**2 - 45. Let i be d(-7). Let m(b) = -b - 5. Let o(a) = -2*a - 11. Calculate i*o(f) - 9*m(f). f + 1 Let l(f) = -f**2 - 4*f + 4. Let y(g) = 3*g**2 + 11*g - 11. Suppose 3*u = 2*u + 4. Calculate u*y(s) + 11*l(s). s**2 Let o(x) = -19*x + 4. Let p(u) = 6*u - 1. Suppose 5*y - 2*l = l + 1, -l + 3 = 0. Determine y*o(w) + 7*p(w). 4*w + 1 Let q(f) = -23*f**2 + 3*f + 3. Let s(v) = 23*v**2 - 4*v - 4. Calculate 4*q(d) + 3*s(d). -23*d**2 Let i(x) = x. Let j(b) = -4*b. Give -10*i(l) - 2*j(l). -2*l Let f(i) = i**3 - i**2 + i - 1. Let o(z) = 110*z**3 - 132*z**2 + 132*z - 132. Give -132*f(s) + o(s). -22*s**3 Let f(o) = -3*o**3 + 9*o**2 - 11*o + 11. Let k(g) = -g**3 + 3*g**2 - 4*g + 4. Let u be (16/12)/(2/(-6)). Calculate u*f(s) + 11*k(s). s**3 - 3*s**2 Let c(z) = -z + 8 + z - z - 7. Let f(n) = -n**3 + n**2 - n + 3. Suppose -3*b - b = 0. Let j be f(b). Let l(t) = 4*t - 3. Give j*c(x) + l(x). x Let a(q) = -9*q**3 - 2*q**2. Let y(n) = -9*n**3 - 3*n**2. Calculate -3*a(v) + 2*y(v). 9*v**3 Let s(t) = t + 2. Let z(x) = -38*x - 10. Calculate -5*s(l) - z(l). 33*l Let y(m) = -2*m**2 - 4. Suppose 3*u = 4*h - 1 - 3, 3*h - 8 = u. Let c(b) = -b**2 + 1. Calculate h*c(w) + y(w). -6*w**2 Let u(c) = c**2 - 2. Let m(g) = -32*g**2 + 11*g + 28. Let d(s) = -11*s**2 + 4*s + 9. Let h(n) = -11*d(n) + 4*m(n). Calculate 6*h(w) + 39*u(w). -3*w**2 Let h(i) = i**2 + 7*i + 5. Let w be h(-5). Let f(a) = -2*a**2 + 2*a - 2. Let p(t) = 3*t**2 - 5*t + 5. Give w*f(o) - 2*p(o). 4*o**2 Let x = -38 + 55. Let a = x - 11. Let z(v) = -v**2 - 6*v - 6. Let g(f) = -3*f**2 - 17*f - 17. Calculate a*g(w) - 17*z(w). -w**2 Let w(p) = 105*p**3 + 49*p**2 - 49*p. Let u(g) = -13*g**3 - 6*g**2 + 6*g. Determine -49*u(r) - 6*w(r). 7*r**3 Let g(f) = 11*f**3 - 4. Let n(o) = -2 - 4 + 1 + 12*o**3. What is 7*g(u) - 6*n(u)? 5*u**3 + 2 Let x(m) = 16*m + 3. Let t(y) = -5*y - 1. Calculate 7*t(d) + 2*x(d). -3*d - 1 Let r(c) = 3*c**2 - 4*c - 5. Let u(s) be the first derivative of 2*s + 1 + s**2 - 1/3*s**3. Suppose -10*l + 6*l = 20. Determine l*u(a) - 2*r(a). -a**2 - 2*a Suppose -6 - 1 = -m. Let q(w) = -7*w**3 - 4*w**2 + 4*w + 4. Let c(b) = 13*b**3 + 7*b**2 - 7*b - 7. Give m*q(d) + 4*c(d). 3*d**3 Let o(n) = -3*n. Let g(b) = -3*b. Determine -4*g(t) + 5*o(t). -3*t Let t be ((-2)/(-8))/((-5)/20). Let n(w) = -w. Let g(y) = -y**2 + 8*y - 2. Determine t*g(x) - 6*n(x). x**2 - 2*x + 2 Suppose 0 = -2*o + 7*o - 10. Let x(u) = -3 - 5*u + 4 + 0*u + 2*u**o. Let m(q) = 4*q**2 - 9*q + 2. What is 4*m(l) - 7*x(l)? 2*l**2 - l + 1 Let q(b) = -b - 1. Let h(j) = 60*j + 36. Give -h(w) - 36*q(w). -24*w Let x = -10 + 6. Let t(l) = -5*l**2 - 4*l + 6. Let i(o) = -5*o**2 - 3*o + 5. Calculate x*i(q) + 3*t(q). 5*q**2 - 2 Let y(q) = q**2 - q + 1. Suppose -2*g = -g - 2. Let l(m) = 2*m - m + 1 + 5*m**2 - g*m - 4*m**2. Determine l(t) - 3*y(t). -2*t**2 + 2*t - 2 Let o(s) = -2 - 9 + 4*s**2 - 2*s**2. Let f(x) = -x**2 + 4. Let k = -3 + 0. Let v = -19 + 11. Determine k*o(c) + v*f(c). 2*c**2 + 1 Let a(y) be the first derivative of -1 + y + 1/2*y**2. Let s(b) = 6*b + 6. Suppose -q - 2 = -18. Determine q*a(v) - 3*s(v). -2*v - 2 Let c(a) = 1. Let g(v) = v + 13. Let b be g(-12). Let u(y) = 5*y - 5. What is b*u(p) + 5*c(p)? 5*p Let w(l) = 5*l - 1. Let f(q) = -5 - 3*q - 1 + 5. Let r be f(1). Let m(k) = -10*k + 1 + 2 + 6*k - 10*k. What is r*m(j) - 11*w(j)? j - 1 Let g(s) = -5 + 3*s + 5*s + 2 - 4*s. Let y(l) = -5*l + 4. Let k(t) = -t - 9. Let c be k(-7). What is c*y(o) - 3*g(o)? -2*o + 1 Let h(b) = b**2 + 8*b - 5. Let l be h(-9). Let v(q) = q**2 - q**2 - l*q**2. Let d(o) = -7*o**2. Calculate 6*d(f) - 11*v(f). 2*f**2 Let h(r) = -r. Let x(q) = 0 + 2 + 131*q - 124*q. Calculate 4*h(l) + x(l). 3*l + 2 Let u(k) = 17*k - 2. Let f(p) = p + 6. Let s(l) = -2*l - 5. Let j(n) = 6*f(n) + 7*s(n). Give 13*j(a) + 6*u(a). -2*a + 1 Suppose 4*z - 3*p = 2*z - 8, -3*z - 10 = -4*p. Let q = z - 7. Let a(x) = -4*x**2 + 5*x - 5. Let i(h) = -5*h**2 + 6*h - 6. Calculate q*i(y) + 6*a(y). y**2 Let o be (2/(-6))/((-1)/15). Suppose 3*k = k + 4. Let q = k + -8. Let r(l) = -4*l - 1. Let f(s) = -5*s - 1. Calculate o*f(d) + q*r(d). -d + 1 Let d be (-76)/5 + 3/15. Let r(u) = 4*u**3 + 2*u**2 + 2. Let o(l) = -9*l**3 - 5*l**2 - 5. Calculate d*r(m) - 6*o(m). -6*m**3 Let d(u) = 2*u - 3. Let o(v) = -8*v + 7. Let j(y) = -23*y + 21. Let p(r) = 4*j(r) - 11*o(r). What is -5*d(n) - 2*p(n)? -2*n + 1 Let t(r) be the first derivative of -r**5/120 + r**4/24 + r**3/3 - 1. Let n(f) be the third derivative of t(f). Let x(u) = 1. Give n(p) - 2*x(p). -p - 1 Let i(t) = -3*t**3 - t - 3. Let v(c) = -2*c**3 - 2. Calculate 3*i(j) - 4*v(j). -j**3 - 3*j - 1 Let m(h) = -3*h + 11. Let j(b) = 12*b - 44. Let z(x) = 6*j(x) + 26*m(x). Let c(l) = 2*l - 7. Calculate -16*c(d) - 5*z(d). -2*d + 2 Let y(q) = -62*q. Let z(d) = 125*d. Calculate 5*y(u) + 2*z(u). -60*u Let k(f) be the third derivative of -f**3/6 - 32*f**2. Let b(w) = -w + 1 + 3*w - w. Give 3*b(m) + 3*k(m). 3*m Let f(g) = -5*g + 4. Let u(i) = 6*i - 3. Let l(d) = 3*f(d) + 2*u(d). Let x(s) = -2*s + 4. Give -5*l(m) + 7*x(m). m - 2 Suppose 2*n = 5*s - 14, 6*n - 4*n + 5*s - 26 = 0. Let h(m) = 4*m. Let q(y) = y. Let i(c) = -h(c) + 2*q(c). Let t(r) = r. Calculate n*i(g) + 5*t(g). -g Let k(a) = -2*a**3 + 3*a**2 - 3*a - 3. Let l(v) = -v**2 + v + 1. What is k(g) + 3*l(g)? -2*g**3 Let c(s) = -2*s**3 + 7*s**2 + 9*s - 7. Let g(z) = -4*z**3 + 13*z**2 + 19*z - 13. Determine -11*c(o) + 6*g(o). -2*o**3 + o**2 + 15*o - 1 Suppose -c + 2 = 5. Let b be (-1)/(3/(-2) + 1). Let g(v) = v + 1 - b - 5*v**3 + 3*v**2 + 2*v. Let o(r) = -6*r**3 + 4*r**2 + 4*r - 2. Calculate c*o(h) + 4*g(h). -2*h**3 + 2 Let n(p) = -14*p**3 - 4*p**2. Let c(b) = -195*b**3 - 55*b**2. Determine 4*c(z) - 55*n(z). -10*z**3 Let v(a) = 11*a + 6. Let w(y) = -y - 1. Calculate v(l) + 6*w(l). 5*l Let n(a) = 4*a**2 + 5*a - 6. Let h(o) = 3*o**2 + 6*o - 7. Calculate -5*h(c) + 6*n(c). 9*c**2 - 1 Let z(d) = 0*d + 0*d - 6 + 7 - 3*d. Let u(n) = n. What is -5*u(q) - 2*z(q)? q - 2 Let j(a) = -13*a**2 - 11*a - 5. Let w(f) = f + 6. Let b be w(-12). Let c(n) = 7*n**2 + 6*n + 3. Give b*j(o) - 11*c(o). o**2 - 3 Let x(f) = f - 7. Let q(l) = l - 10. Suppose 0 = -4*j - 32 + 4. Let i = j - -14. Give i*x(r) - 5*q(r). 2*r + 1 Let j = -104 + 101. Let n(x) = -20*x**2 - 8*x + 6. Let r(i) = -7*i**2 - 3*i + 2. Calculate j*n(z) + 8*r(z). 4*z**2 - 2 Let b(v) = 21*v - 100. Let t(j) = -4*j + 20. What
{ "pile_set_name": "DM Mathematics" }
- 194*v**3. -2*v**3 Collect the terms in 1196*n**2 + 5009730 - 5009730. 1196*n**2 Collect the terms in -16789 + 7617 - 46*g + 9174. -46*g + 2 Collect the terms in -118*s - 158*s + 142*s - 344*s**3 + 134*s. -344*s**3 Collect the terms in 813198*z**2 - 813200*z**2 - 3*z - 19 + 15. -2*z**2 - 3*z - 4 Collect the terms in 4894 + 4892 - 19970 - 4*y**3 + 4901 + 5283. -4*y**3 Collect the terms in 506*l**2 - 181 + 539 - 173 - 185. 506*l**2 Collect the terms in -4*z**3 + 21*z**3 + 220997 + 221043 - 442040 - 2*z**3. 15*z**3 Collect the terms in 21918*h + 21958*h - 43867*h. 9*h Collect the terms in -5530*m + 10894*m + 3 - 2 - 5572*m. -208*m + 1 Collect the terms in -7846024*m + 15689967*m - 7845041*m. -1098*m Collect the terms in 67*p - 296*p + p**3 - 84*p - 4*p**2 + 0*p**3. p**3 - 4*p**2 - 313*p Collect the terms in 64*o + 553550 + 59*o - 553550. 123*o Collect the terms in 153 - 432 + 156*t + 138 + 141. 156*t Collect the terms in -5423*v - 6794*v - 2208*v. -14425*v Collect the terms in -2733 - 2*x**3 - 19*x - 2785 - 20*x + 39*x. -2*x**3 - 5518 Collect the terms in -3 - 8 + 2338*u**2 - 520*u**2 + 9. 1818*u**2 - 2 Collect the terms in 141*n**3 + 112 + 74*n**3 - 557*n**3 - 678*n**3 - 111 - 849*n**3. -1869*n**3 + 1 Collect the terms in 2879204*u - 2879204*u + 1939*u**2. 1939*u**2 Collect the terms in 3*x + 1 - 3*x - 3204*x**3 - 3 + 3210*x**3. 6*x**3 - 2 Collect the terms in -38779*w**3 - 38934*w**3 + 77723*w**3. 10*w**3 Collect the terms in 156922*t**3 + 32191*t**3 + 1 - 1. 189113*t**3 Collect the terms in -3091*l - 2659*l + 8826*l - 3088*l. -12*l Collect the terms in 814*t**3 - 1213*t**3 - 19 + 1096*t**3. 697*t**3 - 19 Collect the terms in 351349066 - 351349066 + 71*a. 71*a Collect the terms in 14918469756 - 44*n - 14918469756. -44*n Collect the terms in 8920407 - 8*q + 23*q - q - 8920407. 14*q Collect the terms in 572*x - 158*x - 156*x - 139*x - 134*x. -15*x Collect the terms in -111 - 231*k**3 - 95 + 227*k**3 + 313 - 107. -4*k**3 Collect the terms in -145*m**3 + 1300*m**3 - 29 + 16 + 13. 1155*m**3 Collect the terms in 6*r - 50 + 4 + 21 - 8*r - 51. -2*r - 76 Collect the terms in 18 + 2*x - 6*x**3 + 54 - 59*x**2 - 8. -6*x**3 - 59*x**2 + 2*x + 64 Collect the terms in -15 + 618*n**2 + 8 - 605*n**2 + 15. 13*n**2 + 8 Collect the terms in 14*a**2 - 68*a + 19 + 239*a - 98*a. 14*a**2 + 73*a + 19 Collect the terms in 7 - 276 + 172*x + 186*x - 359*x - 148. -x - 417 Collect the terms in -81382*i - 69 - 99103*i + 32 + 37. -180485*i Collect the terms in 17282*n**3 - 34651*n**3 + 17354*n**3. -15*n**3 Collect the terms in -29*l + 11*l + 7*l + 136223 + 8*l. -3*l + 136223 Collect the terms in 5*h**2 - 22 - 21 - 9 - 480 - 30 + 562. 5*h**2 Collect the terms in 1950*h + 1816*h - 5730*h + 5 + 1948*h. -16*h + 5 Collect the terms in -291*u**3 - 10*u**2 + 18*u - 2912*u**3 + 3*u + 9*u**2. -3203*u**3 - u**2 + 21*u Collect the terms in 39 - 13 - 23 - 3 + 54763*u**3. 54763*u**3 Collect the terms in 114729494*t + 5*t**2 - 44*t**2 - 114729494*t. -39*t**2 Collect the terms in -20*d + 126591*d**3 - 16618*d**3 + 20*d. 109973*d**3 Collect the terms in 16 - 16 - 409674*l. -409674*l Collect the terms in -1070*x - 2 + 493*x + 646*x. 69*x - 2 Collect the terms in 926*v**3 - 3131*v**3 - 11324*v**3. -13529*v**3 Collect the terms in 19 + 4 + 3*l**2 + 5 - 21 + 4*l**2. 7*l**2 + 7 Collect the terms in 34111 - 69*g**3 + 34097 - 68208 - 53*g**3. -122*g**3 Collect the terms in 6*c**3 + 6*c**3 - 8*c**3 + 3*c**3 + 5611*c - 5609*c. 7*c**3 + 2*c Collect the terms in 3*x**2 + 1578 - 28*x**2 - 400*x - 64*x. -25*x**2 - 464*x + 1578 Collect the terms in 142*v + 1816*v + 35*v - 21 + 21. 1993*v Collect the terms in -290 - 10*s - 279 + 857 - 285. -10*s + 3 Collect the terms in 4884621*d - 45*d**2 + 5*d**2 - 4884621*d. -40*d**2 Collect the terms in -3*n**3 - 102228*n + 6*n**3 + 101463*n. 3*n**3 - 765*n Collect the terms in -1348*a**3 + 416*a**3 + 454*a**3. -478*a**3 Collect the terms in 0 + 26*s**2 - 30*s**2 + 0 - 14192*s**3 + 0. -14192*s**3 - 4*s**2 Collect the terms in 32038543788369 - 32038543788369 - s**3. -s**3 Collect the terms in -23728*j - 23732*j - 23732*j + 94923*j - 23733*j. -2*j Collect the terms in -4*z**2 - 445812*z**3 + 4*z**2 + 0*z**2 - z**2. -445812*z**3 - z**2 Collect the terms in 35176*w + 35183*w - 234*w**2 - 70367*w. -234*w**2 - 8*w Collect the terms in 43418*i - 86190*i + 42770*i. -2*i Collect the terms in -12*a**3 - 361*a + 169*a + 192*a - 333*a**3. -345*a**3 Collect the terms in 35 + 24 - l + 41 - 3*l**2 + 2*l + 19*l**2. 16*l**2 + l + 100 Collect the terms in -4862006*h**3 + 9724017*h**3 - 4862013*h**3. -2*h**3 Collect the terms in 472*s + 501*s + 446*s + 489*s - 2507*s + 484*s. -115*s Collect the terms in 636987*w**2 - 318838*w**2 - 318615*w**2. -466*w**2 Collect the terms in -41*n**2 + 2*n - 16*n**2 + 13*n**2 - 3 - 27*n**2. -71*n**2 + 2*n - 3 Collect the terms in 1315 - 3*f**3 - 3921 + 1325 + 1281. -3*f**3 Collect the terms in 1572*u**3 - 368 + 298 + 70. 1572*u**3 Collect the terms in -1304*a**2 + 134 - 153 + 1306*a**2. 2*a**2 - 19 Collect the terms in 8*k**3 + 3*k**3 - 7*k**3 - 8*k**3 + 10 + 2770*k**2. -4*k**3 + 2770*k**2 + 10 Collect the terms in o**2 - 704*o - 1 + 4 - 2*o**2 + 4060*o. -o**2 + 3356*o + 3 Collect the terms in -3524*o - 961*o - 4164*o. -8649*o Collect the terms in -169*l**2 + l - 91451*l**3 - l. -91451*l**3 - 169*l**2 Collect the terms in 1322*j**3 + 947*j**3 + 1181*j**3 - 3447*j**3. 3*j**3 Collect the terms in -193 + 15 - 8422*w - 29 + 1988*w. -6434*w - 207 Collect the terms in -139*f - 128*f - 1015*f - 453*f - 798*f. -2533*f Collect the terms in 58 + 3*f - 206 + 63 + 83. 3*f - 2 Collect the terms in -26689282 + 26689282 + 4*y. 4*y Collect the terms in 8046*x - 945*x + 573*x. 7674*x Collect the terms in 17016*t - 17016*t + 146475*t**2 + 190238*t**2. 336713*t**2 Collect the terms in -3434*z**3 - 3222*z**3 - 3415*z**3 + 10073*z**3 + 55*z. 2*z**3 + 55*z Collect the terms in 34*y**3 + 13*y**3 - 78*y**3 + 28*y**3 + 38*y**2. -3*y**3 + 38*y**2 Collect the terms in 27085773 + 27085748 + 12*t - 54171521. 12*t Collect the terms in -970*k**3 + 469*k**3 - 715*k**3 - 498*k**3. -1714*k**3 Collect the terms in 13*z + 323 + 325 - 2*z + 337 - 1269 + 284. 11*z Collect the terms in -r**2 + 31731 + 31759 - 63445. -r**2 + 45 Collect the terms in 30*k**2 + 167*k - 7*k**2 + 163*k - 502*k + 172*k. 23*k**2 Collect the terms in 23043*o + 23361*o - 46403*o - 34*o**3 - 11*o**3. -45*o**3 + o Collect the terms in -162 + 497 + 67*i**3 + 26*i**3 - 335. 93*i**3 Collect the terms in 35*j**2 + 80*j**2 - 66*j**2 - 3 - 5 + 3 + 2. 49*j**2 - 3 Collect the terms in 6*f - 200*f**2 - 5*f - 119*f**2 - f + 95*f**2. -224*f**2 Collect the terms in 2449*b**3 + 5413*b**3 - 351*b**3 - 11*b**2 + 284*b**3 + 10*b**2. 7795*b**3 - b**2 Collect the terms in -41*a**3 - 20*a**2 - 297*a**2 + 342*a**2 + 35*a**3. -6*a**3 + 25*a**2 Collect the terms in -183 + 179 - 208*w + 614*w - 206*w - 202*w. -2*w - 4 Collect the terms in 108829*c + 109447*c - 218278*c. -2*c Collect the terms in -13*j + 11*j**2 - j + 15*j**2 - 38963 + 38962 + 14*j. 26*j**2 - 1 Collect the terms in -33441*x**2 - 36 + 36. -33441*x**2 Collect the terms in 1312*u**3 - 9993*u**3 + 3 - 3. -8681*u**3 Collect the terms in -81565*p**2 - 296863*p**2 - 216239*p**2 + 15636*p**2 + 70004*p**2. -509027*p**2 Collect the terms in 43347 - 534*s + 12*s**2 - 43347. 12*s**2 - 534*s Collect the terms in 96 + 185*n + 194*n - 381*n. -2*n + 96 Collect the terms in -s**2 - 3268*s + 5*s**2 - 2*s**2 - 3815*s - s**2. s**2 - 7083*s Collect the terms in 2*n**2 - 2 - 21*n**3 + 22*n**3 + 248*n + 381*n - 92*n. n**3 + 2*n**2 + 537*n - 2 Collect the terms in 140*r - 297*r**2 - 84*r**2 - 157*r. -381*r**2 - 17*r Collect the terms in 260*d**2 + 1711134*d - 1711134*d. 260*d**2 Collect the terms in -101*u**2 - 90*u**2 - 68*u**2 + 89*u**2. -170*u**2 Collect the terms in -12*x + 101*x**2 + 36*x**2 + 97*x**2 - 298*x**2. -64*x**2 - 12*x Collect the terms in 274 + 126*h + 449*h - 67*h - 274 - 32*h. 476*h Collect the terms in -720169457 + 104*y + 720169457. 104*y Collect the terms in -11770 - 11775 + 47094 - 11777 - 11772 + g**3. g**3 Collect the terms in -10786*v + 3602*v + 3 + 3596*v + 3590*v - 3. 2*v Collect the terms in -1106 + 523*s - 387*s - 1107 - 265*s - 1105 + 3316. -129*s - 2 Collect the term
{ "pile_set_name": "DM Mathematics" }
t is the units digit of 681114? 4 What is the hundreds digit of 8429888? 8 What is the units digit of 6731? 1 What is the ten thousands digit of 297158? 9 What is the hundred thousands digit of 1239554? 2 What is the units digit of 33901? 1 What is the thousands digit of 76990? 6 What is the hundreds digit of 174707? 7 What is the tens digit of 9837304? 0 What is the units digit of 924187? 7 What is the thousands digit of 302941? 2 What is the ten thousands digit of 1739992? 3 What is the tens digit of 288695? 9 What is the hundred thousands digit of 593505? 5 What is the units digit of 22943493? 3 What is the hundred thousands digit of 637424? 6 What is the hundred thousands digit of 214440? 2 What is the ten thousands digit of 1422588? 2 What is the units digit of 287182? 2 What is the thousands digit of 444134? 4 What is the hundred thousands digit of 33583907? 5 What is the tens digit of 334060? 6 What is the ten thousands digit of 9080440? 8 What is the tens digit of 9975264? 6 What is the units digit of 3115658? 8 What is the hundred thousands digit of 873044? 8 What is the hundred thousands digit of 720728? 7 What is the tens digit of 512930? 3 What is the millions digit of 21662317? 1 What is the ten thousands digit of 80468? 8 What is the hundred thousands digit of 610715? 6 What is the units digit of 10637047? 7 What is the hundred thousands digit of 249709? 2 What is the tens digit of 8746798? 9 What is the millions digit of 3519429? 3 What is the tens digit of 1355945? 4 What is the ten thousands digit of 3971326? 7 What is the tens digit of 34054011? 1 What is the tens digit of 3270486? 8 What is the hundreds digit of 36726389? 3 What is the hundred thousands digit of 9770141? 7 What is the units digit of 7561730? 0 What is the millions digit of 1928293? 1 What is the hundred thousands digit of 451566? 4 What is the thousands digit of 761843? 1 What is the millions digit of 1254916? 1 What is the hundreds digit of 46368? 3 What is the thousands digit of 1061378? 1 What is the thousands digit of 1695583? 5 What is the tens digit of 9454014? 1 What is the hundred thousands digit of 314220? 3 What is the thousands digit of 17740718? 0 What is the units digit of 19758486? 6 What is the tens digit of 9223086? 8 What is the thousands digit of 129526? 9 What is the millions digit of 5716714? 5 What is the hundreds digit of 81340? 3 What is the millions digit of 2884392? 2 What is the millions digit of 1936916? 1 What is the thousands digit of 24998492? 8 What is the tens digit of 2771568? 6 What is the units digit of 7686389? 9 What is the ten thousands digit of 134152? 3 What is the hundreds digit of 16832538? 5 What is the ten thousands digit of 1573912? 7 What is the hundreds digit of 1262830? 8 What is the hundreds digit of 663102? 1 What is the tens digit of 115467? 6 What is the hundreds digit of 1073591? 5 What is the ten thousands digit of 16721752? 2 What is the ten thousands digit of 12616289? 1 What is the units digit of 12003383? 3 What is the thousands digit of 358479? 8 What is the tens digit of 342389? 8 What is the tens digit of 12440311? 1 What is the hundred thousands digit of 386262? 3 What is the ten thousands digit of 4917568? 1 What is the tens digit of 994697? 9 What is the hundred thousands digit of 473694? 4 What is the ten thousands digit of 1121586? 2 What is the ten thousands digit of 1306892? 0 What is the tens digit of 747507? 0 What is the units digit of 71181? 1 What is the thousands digit of 809303? 9 What is the hundred thousands digit of 401024? 4 What is the millions digit of 4398662? 4 What is the ten thousands digit of 4488127? 8 What is the millions digit of 2569948? 2 What is the hundreds digit of 658802? 8 What is the tens digit of 1694613? 1 What is the tens digit of 818211? 1 What is the tens digit of 150709? 0 What is the thousands digit of 173664? 3 What is the thousands digit of 27022104? 2 What is the tens digit of 242191? 9 What is the hundreds digit of 2501016? 0 What is the hundred thousands digit of 17524362? 5 What is the tens digit of 5895584? 8 What is the tens digit of 634131? 3 What is the ten thousands digit of 24563437? 6 What is the hundred thousands digit of 1178047? 1 What is the units digit of 311531? 1 What is the millions digit of 1418698? 1 What is the tens digit of 681601? 0 What is the tens digit of 154504? 0 What is the tens digit of 4957351? 5 What is the thousands digit of 792264? 2 What is the ten thousands digit of 1934824? 3 What is the ten thousands digit of 925404? 2 What is the millions digit of 1733023? 1 What is the hundreds digit of 618613? 6 What is the hundreds digit of 33129052? 0 What is the thousands digit of 81441? 1 What is the tens digit of 236460? 6 What is the thousands digit of 188243? 8 What is the thousands digit of 243752? 3 What is the tens digit of 291173? 7 What is the millions digit of 1252010? 1 What is the hundred thousands digit of 4419479? 4 What is the millions digit of 2847947? 2 What is the thousands digit of 917134? 7 What is the ten millions digit of 29752862? 2 What is the hundreds digit of 921684? 6 What is the tens digit of 18059? 5 What is the hundred thousands digit of 144376? 1 What is the hundred thousands digit of 1620105? 6 What is the units digit of 186584? 4 What is the hundred thousands digit of 116218? 1 What is the hundreds digit of 25304003? 0 What is the thousands digit of 3100404? 0 What is the thousands digit of 320275? 0 What is the hundreds digit of 93400? 4 What is the hundreds digit of 230563? 5 What is the hundreds digit of 2970394? 3 What is the hundred thousands digit of 1318927? 3 What is the tens digit of 15182908? 0 What is the thousands digit of 723897? 3 What is the thousands digit of 130368? 0 What is the tens digit of 1163542? 4 What is the units digit of 4892451? 1 What is the tens digit of 13555512? 1 What is the hundreds digit of 460175? 1 What is the thousands digit of 2299749? 9 What is the tens digit of 6545028? 2 What is the thousands digit of 343876? 3 What is the ten thousands digit of 23852637? 5 What is the hundreds digit of 439381? 3 What is the ten thousands digit of 3016501? 1 What is the millions digit of 2218311? 2 What is the thousands digit of 14595661? 5 What is the hundreds digit of 2543455? 4 What is the units digit of 14577183? 3 What is the millions digit of 1145150? 1 What is the hundred thousands digit of 242317? 2 What is the millions digit of 10627923? 0 What is the ten thousands digit of 1045980? 4 What is the hundreds digit of 264718? 7 What is the ten thousands digit of 660407? 6 What is the tens digit of 1816531? 3 What is the hundreds digit of 315326? 3 What is the thousands digit of 1546399? 6 What is the thousands digit of 3601860? 1 What is the tens digit of 931418? 1 What is the hundreds digit of 1080295? 2 What is the hundred thousands digit of 3003156? 0 What is the hundreds digit of 35855474? 4 What is the hundreds digit of 140144? 1 What is the hundred thousands digit of 176386? 1 What is the units digit of 165823? 3 What is the tens digit of 2061200? 0 What is the hundred thousands digit of 6115954? 1 What is the ten thousands digit of 507371? 0 What is the hundred thousands digit of 1213284? 2 What is the tens digit of 2008002? 0 What is the ten thousands digit of 252530? 5 What is the hundreds digit of 617888? 8 What is the ten thousands digit of 3771839? 7 What is the tens digit of 1725818? 1 What is the units digit of 5194145? 5 What is the millions digit of 21553084? 1 What is the units digit of 9561381? 1 What is the tens digit of 4125603? 0 What is the units digit of 1422736? 6 What is the tens digit of 15697883? 8 What is the hundreds digit of 1634972? 9 What is the ten thousands digit of 2793172? 9 What is the thousands digit of 1563976? 3 What is the hundreds digit of 57081? 0 What is the tens digit of 12158149? 4 What is the hundred thousands digit of 2022163? 0 What is the hundred thousands digit of 3408824? 4 What is the tens digit of 2556144? 4 What is the thousands digit of 347753? 7 What is the units digit of 1806122? 2 What is the units digit of 18731? 1 What is the hundreds digit of 119882? 8 What is the hundreds digit of 2066261? 2 What i
{ "pile_set_name": "DM Mathematics" }
j. -5421 Let g(r) be the second derivative of -3*r + 0*r**3 + 25 - 4/3*r**4 - 46*r**2. Differentiate g(v) with respect to v. -32*v Suppose -21*a - 6 = -69. Differentiate -77 + 19*d**3 - 4*d**3 - 13*d**a wrt d. 6*d**2 Let i(g) be the second derivative of -289/20*g**5 - 251/2*g**2 - 8 + 0*g**4 + 1/6*g**3 + 3*g. Find the first derivative of i(p) wrt p. -867*p**2 + 1 Let o(g) be the second derivative of -13/2*g**4 - 215/6*g**3 + 0*g**2 - 5 - 4*g. What is the second derivative of o(y) wrt y? -156 Let i be 1*-15*1/(-5). Let u(p) be the third derivative of 0*p - 19/24*p**4 - 1/12*p**5 + 0*p**i + 0 - 18*p**2. Find the second derivative of u(n) wrt n. -10 Find the first derivative of 97 - 606 - 465 - 9792*x - 126 - 180 wrt x. -9792 Let l(x) = 9*x**3 + 157*x**2 + 3*x - 292. Let w(h) = -26*h**3 - 473*h**2 - 8*h + 874. Let k(a) = -8*l(a) - 3*w(a). Find the first derivative of k(o) wrt o. 18*o**2 + 326*o What is the second derivative of -605*w + 3099*w + 697*w + 6903*w - 8298*w**2 wrt w? -16596 Let o(s) be the second derivative of 0*s**5 - 226*s - 47/4*s**4 + 0*s**2 + 0*s**3 + 17/15*s**6 + 0. What is the third derivative of o(f) wrt f? 816*f Let a(j) = -3*j**4 + 70*j**3 - 4*j**2 + 2031*j + 10. Let g(o) = 2*o**4 + o - 4. Let r(c) = -a(c) - 2*g(c). Find the second derivative of r(q) wrt q. -12*q**2 - 420*q + 8 Suppose -4*y = -0*w + 5*w - 3409, -2*w + 2 = 0. Let u be (1*2)/(46/y). What is the third derivative of -m**2 + m**4 - 5*m**2 - 3*m**2 + u*m**4 wrt m? 912*m Let x(m) be the third derivative of -15/4*m**4 + 0 + 131/6*m**3 + 0*m + 81*m**2. What is the first derivative of x(u) wrt u? -90 Find the second derivative of -7 - 70110*a + 70104*a + 1207*a**3 - 7061*a**3 wrt a. -35124*a Suppose 8*f = 4*a + 3*f + 257, -2*f - 346 = 5*a. Let s = -66 - a. What is the second derivative of -s*k**4 - 2*k**4 - 26*k + 2*k**4 wrt k? -24*k**2 Let v(x) = x + 6. Let u(c) = -15*c + 4746. Let y(s) = -3*u(s) - 30*v(s). What is the first derivative of y(n) wrt n? 15 What is the third derivative of 751*b**3 + 7984*b**2 - 849*b**3 + 169*b - 2643*b**3 - 169*b wrt b? -16446 Let y(t) be the first derivative of 0*t**4 + 0*t**2 + 19 + 43/6*t**6 + 0*t**5 + 0*t + 26/3*t**3. Find the third derivative of y(d) wrt d. 2580*d**2 Let h = -380 - -382. Find the second derivative of 14656*f + 232*f**2 - 14592*f - 56*f**2 + h*f**5 wrt f. 40*f**3 + 352 Let m(j) be the second derivative of 1669*j**5/5 - j**4/4 + 17*j**3/3 + 9*j**2 + 13*j + 45. Find the third derivative of m(z) wrt z. 40056 Let v(b) be the second derivative of 613*b**5/5 + 7*b**4/12 + 3*b**3/2 + b**2/2 - 1543*b + 1. Find the third derivative of v(t) wrt t. 14712 Find the second derivative of 5*k - 12*k**3 - 33*k + 8 + 94*k**3 - 119*k**3 - 286*k**3 wrt k. -1938*k Let a = -3 - 20. Let x = a + 27. Find the second derivative of q**4 - 10*q**4 - 2*q**4 - 8*q + 3*q**x wrt q. -96*q**2 Let c(f) = 4*f**3 - 147*f**2 - 42*f - 215. Let d(i) = i**3 - i**2 - 14*i. Let v(t) = c(t) - 3*d(t). Find the first derivative of v(m) wrt m. 3*m**2 - 288*m Find the second derivative of 3*i**3 + 14*i**4 - i**3 - 128 + 1492*i + 239 + 15*i**2 - 110 wrt i. 168*i**2 + 12*i + 30 Suppose -2*i + 6*i = 8. Suppose 0 = -4*d + 18 - i. What is the third derivative of 0*m**2 - 2*m**2 + 0*m**5 - 8*m**2 + d*m**5 wrt m? 240*m**2 Let i(l) be the third derivative of -1121*l**6/120 + 241*l**5/10 + 1917*l**2. What is the third derivative of i(v) wrt v? -6726 Let u(i) = -10856*i**3 - 17*i + 5288. Let m(b) = 3619*b**3 + 6*b - 1763. Let l(c) = 17*m(c) + 6*u(c). Differentiate l(k) with respect to k. -10839*k**2 Let z be 34/10 + ((-12)/5 - -2). Suppose 4*c = -2*u + 32, -z*u = 4*c - 2*c - 40. What is the second derivative of 3*p**5 - u*p + 6*p**5 - 4*p wrt p? 180*p**3 Let z(c) = -c**3 + c**2 - c + 2. Let t(p) = -1150*p**3 - 12*p**2 + 12*p + 162. Let y(k) = t(k) + 12*z(k). Find the first derivative of y(s) wrt s. -3486*s**2 Let f(z) be the first derivative of 3395*z**4/2 + 6543*z**2/2 + 3061. Find the second derivative of f(w) wrt w. 40740*w What is the first derivative of -19*l + 1776 - 308*l - 1384 - 162*l wrt l? -489 Let m(f) be the third derivative of -773*f**7/105 + 19*f**5/15 + 7*f**4/24 + 1957*f**2. Find the third derivative of m(i) wrt i. -37104*i Let j(b) = 11 + b - 9 + 0*b. Let r be j(10). Find the first derivative of -37*d**3 + 9 - 26 + r wrt d. -111*d**2 Differentiate 5166*v**4 + 17749049*v**3 + 70 - 17749049*v**3 with respect to v. 20664*v**3 Find the third derivative of -1 + 3710*w**2 + 3651*w**2 - 2*w**3 + 382*w**4 + 14*w - 7389*w**2 wrt w. 9168*w - 12 What is the third derivative of -828*y**6 - 39 + 54 - 380*y**2 - 13 wrt y? -99360*y**3 Let l = 81 - 79. Suppose -4*p = l*i - 172, 5*i + 4*p - 6*p - 406 = 0. Find the second derivative of -18*h**3 + 54*h**3 + 98*h - i*h wrt h. 216*h Let x(y) be the second derivative of -24 + 0*y**4 + 8*y**3 + 3*y + 0*y**2 - 71/20*y**5. Find the second derivative of x(r) wrt r. -426*r Let l(d) be the first derivative of -951*d**4/4 - 3*d**3 + 95*d - 2087. What is the third derivative of l(f) wrt f? -5706 Find the third derivative of -16*m**5 + 6959929*m**3 - 6959905*m**3 - 3*m**4 + 2*m**4 - m + 2258 + m**2 wrt m. -960*m**2 - 24*m + 144 Let a = 89 - 86. Let q be -1*(5/2 - a)*8. Find the second derivative of -2*m**q - 2*m**4 - 36*m + 0*m**4 - 12*m wrt m. -48*m**2 What is the derivative of 2621*k**3 + 4602 - 12*k + 12*k + 39*k**2 - 39*k**2 wrt k? 7863*k**2 Let t = 268 + -228. Differentiate 45*a + t*a + 15*a - 22 - 8*a with respect to a. 92 Let x(v) = -2*v**2 + 49*v + 2. Let p be x(24). What is the first derivative of -p*q**4 - 118 + 15*q**4 - 29*q**4 + 39 wrt q? -160*q**3 Let b be (5/(-10)*3)/(3/(-90)). Find the first derivative of -b*t + 67 + 106 + 117 - 10 - 91 wrt t. -45 What is the derivative of 2889 + 5*t**3 + t + 951 + 2*t**2 - 2*t + 2246 - 2*t**3 wrt t? 9*t**2 + 4*t - 1 What is the second derivative of 3*o**4 - 2 + 7*o - 445*o**4 + 15*o**4 + 2*o**3 + 39*o + o**2 - 104*o wrt o? -5124*o**2 + 12*o + 2 What is the first derivative of -10371 + 6486 + 2918*n + 5991 wrt n? 2918 Let b(f) be the second derivative of 43*f**8/56 - 13*f**5/5 - f**4/12 - f**3/2 + 89*f**2/2 - 2*f + 230. What is the third derivative of b(p) wrt p? 5160*p**3 - 312 Let y(u) = -91*u**3 + 9*u - 359. Suppose 8*r + 8 - 24 = 0. Let d(m) = 23*m**3 - 2*m + 90. Let h(x) = r*y(x) + 9*d(x). Differentiate h(t) with respect to t. 75*t**2 Find the third derivative of 652*z - 1549*z + 107 - 2*z**2 + 15653*z**4 + 911*z wrt z. 375672*z What is the third derivative of -1569*o**2 - 123*o**4 + 1182*o**3 + 1185*o**3 - 2367*o**3 wrt o? -2952*o Let y = 6173 - 6170. Let d(v) be the third derivative of 20*v**2 + 0 + 0*v + 0*v**4 + 1/6*v**5 - 5/6*v**y. Differentiate d(o) with respect to o. 20*o Let u be 4 - (-5437 - (-5)/3*-3). What is the third derivative of 5445*v**5 - u*v**5 - 3*v**4 + 21*v**2 + 3*v + 0*v wrt v? -60*v**2 - 72*v What is the third derivative of 47475*k**3 + 5*k**2 - 47475*k**3 + 2 - 426*k**6 wrt k? -51120*k**3 Let l(w) be the third derivative of -w**7/105 - 1979*w**5/60 + 926*w**3/3 + 9*w**2 + 23*w - 3. Differentiate l(v) wrt v. -8*v**3 - 3958*v Let x(v) be the first derivative of -4*v**5/5 - v**4/4 + 367*v**3/3 + 157*v**2/2 - 2713. What is the second derivative of x(s) wrt s? -48*s**2 - 6*s + 734 Let h be (-6)/(-33) - 62/(-22). Suppose -h*f + 15 + 15 = 0. Find the second derivative of -849 + 849 - 13*k + f*k**2 wrt k. 20 Suppose -z = 2*z - 15. Let u = 4 + z. Find the second derivative of 5*p**2 - 4*p**2 - u*p**5 + 15*p - p**2 wrt p. -180*p**3 Suppose -3*z = 2*o + 16, -5*z + 2*o + 2*o = -10. Let u(x) = 2*x + 108. Let b(f) = -5*f - 107. Let m(y) = z*b(y) - 3*u(y). What is the derivative of m(s) wrt s? 4 Let w(r) be the first derivative of -55*r + 0*r**3 - 15/2*r**4 - 1/2*r**2 - 37. What is the second derivative of w(m) wrt m? -180*m Suppose 4*z + 20 = l, 0*l - 27 = -l - 3*z. Let m be (-9 - 2)/(-1) - (28 - l). What is the third derivative of -m + 12 - 23*j**3 - j**2 - 5 wrt j? -138 Let w = 373 + -367. What is the third derivative of 0*u**5 - 163*u - 2*u**2 + 0*u**5 - 15*u**6 - 72*u**w + 43*u wrt u? -10440*u**3 What is the third derivative of 420*j**2 - 5 + 23*j**3 + 0 + 5 - 264*j**2 wrt j? 138 Find the first derivative of -48714*q - 2132 - 4655*q**2 + 24356*q + 478 + 24358*q wr
{ "pile_set_name": "DM Mathematics" }
g = 87 - 93. Let q be (3*(-56)/(-735))/((-4)/10). Suppose 0 = -3*p - v + 17, 2*p - v + 3*v - 10 = 0. What is the second smallest value in g, q, p, 2? 2 Let l = 93455 - 93459. Let z = 3/65 + 2/13. Let h be 1/(-3 - -2) + -2. What is the smallest value in l, h, z? l Let o = 24996 + -24994.3541. Let l = 0.1459 - o. Let r = -0.2 + 0.3. Which is the smallest value? (a) -1/5 (b) l (c) r (d) -0.1 b Let m = 149 + -152. What is the smallest value in 0.5, m, 96? m Let j = -2.5 - 12.5. Suppose -187 = -112*p + 48 - 11. Which is the biggest value? (a) -1 (b) -1/4 (c) p (d) j c Let u = 2 + -13. Let d = u + 7. Let n = -2.90227 + -0.09773. What is the third smallest value in n, -0.1, d? -0.1 Suppose -5*w + 22 = -2*f + w, f - 5*w = -21. Which is the smallest value? (a) -1 (b) f (c) 1/4 (d) 89 a Let f = 327453/2354 + -1530/11. Which is the fourth smallest value? (a) 5 (b) f (c) 1 (d) -1/8 a Let n be (-24)/(-4) + ((-33)/4 - -2). What is the biggest value in 3, -7, -3, n, 0.16? 3 Let u be (0 + -1)/(-38 + (-3381)/(-98)). Which is the third biggest value? (a) 208 (b) u (c) -0.4 c Let c = -33 - -95/3. Let o = c - -25/12. What is the biggest value in 18, -1/2, o? 18 Let i = -1328541 + 1327925.009. Let n = i + 620. Let p = 0.009 - n. Which is the third smallest value? (a) -7 (b) -5 (c) p c Let u be -3 - ((-7)/5)/((-22)/(-44)). Which is the fourth biggest value? (a) 0.2 (b) -2/459 (c) 4/7 (d) 4 (e) u b Let k be (-7)/(-5) - 1/1. Let n be 75/(-375)*((-24)/(-28) + -3). What is the third biggest value in -73, k, n? -73 Let v(t) = -2*t**2 - 9*t. Let u be v(-5). Let m be (u/(-3))/(5/6). What is the second biggest value in -24/11, -3, m? -24/11 Let c = -2.18 - -5.57. Let b = 3.29 - c. Let p be -2 - (14/(-6) + 1). What is the second smallest value in b, 1, p? b Let o(b) = 38*b + 7. Let s be o(0). Let g be 22/847*11 + (-2)/s. Let j = -3.6 + 4. What is the fourth smallest value in 1, j, -2, g? 1 Let f = -3 - -8. Let r = -280302 + 280313. What is the smallest value in -2/5, r, f? -2/5 Let j = -1230.5 - -1221.5. Which is the biggest value? (a) 4 (b) j (c) -0.098 (d) -1/5 a Let p = -1279.3 + 1279.6. What is the second smallest value in 0.47, p, 0? p Suppose -1 = y + 4. Let f = 0.5445 + -0.1445. What is the third biggest value in -2, y, f? y Let n = 53016 + -53015.3. Let g(x) = x**2 - 9*x + 8. Let i be g(8). Which is the biggest value? (a) n (b) i (c) 2/3 a Let y be ((-3)/2 + 2)*12/(-10). What is the biggest value in 0.2416, -2, 2/7, y? 2/7 Let s be (-189)/17 + 2/17. Let q be -2*(5 - 4) - s/4. Which is the third biggest value? (a) -5/3 (b) q (c) -0.1 a Let u be (-16)/164*(-115)/(-230). Suppose -v + 24 = 4*v + 3*r, -4*v + 27 = 5*r. Let j be (-2)/v*-1*-3. What is the biggest value in j, -0.2, u, 0.2? 0.2 Let w = -56.968 - 0.032. Let v = 2539 - 2483. Let h = w + v. What is the fourth biggest value in 1/3, -2/21, -2/5, h? h Let o = 0.1 - 0. Let q = -1121 + 564. Let y = 556.6 + q. What is the smallest value in o, y, -4/5, 5? -4/5 Let h(z) = -3*z + 33. Let t be h(11). Let d = -0.06 + -0.24. Let k = 84 + -80. Which is the third smallest value? (a) k (b) d (c) t a Let m = -2.01 - -0.01. Let w be -1 + (0 + -3)/(7*5/35). Let z be ((-24)/(-330))/(8/(-20)). What is the second biggest value in m, w, z? m Let z = 5.6456 - 6.1456. Let r be 1 - (4 + 0) - 1. Which is the third smallest value? (a) 0.1 (b) z (c) -6/13 (d) r c Let x = -15 + 228. What is the biggest value in x, -2/3, -1/8? x Let s = 6.68 - 1.68. Let z = 19.9 + -3.9. What is the smallest value in z, 0.1, s? 0.1 Let x be (-446)/((-7 - -8)*(-120)/(-36)). What is the biggest value in -0.4, x, 3/7? 3/7 Let y = -4864 + 4860. What is the third smallest value in y, 1.9, -2/5? 1.9 Let g = 38985 + -38982. What is the smallest value in -3, -251, 1, g? -251 Let u be (-1 + (-1)/(-3))*(-127)/((-5969)/282). Which is the fourth smallest value? (a) -0.05 (b) -0.5 (c) -0.3 (d) -2 (e) u c Let u = 5 + -5.1. Let f = -1.7 + -9.3. Let n = f - -42. What is the third smallest value in n, 1/7, u? n Let a be -3 + -2 + (5 - (3 + 3)). What is the second biggest value in a, 0.2, -0.03, -0.3, -0.01? -0.01 Let g = 2.351 + -4.351. Which is the third smallest value? (a) -3 (b) 2/5 (c) -1 (d) 3 (e) g c Let c be -10 + 13 - ((-25)/(-30) + 2). Let n = -0.42 + 0.02. What is the biggest value in c, 4, n, -2/9? 4 Let y = 0.23158 - -0.06842. What is the smallest value in -3/2, y, -2368? -2368 Let x = 2450 - 2445. What is the third biggest value in x, -4/11, -32? -32 Let m = -0.415 - 186.585. Let o = m - -191. Which is the smallest value? (a) o (b) -2/3 (c) -3 c Let w = 1705.7 - 1706. Let a = 1 + -2. Let x(h) = -h**3 + 8*h**2 - 8*h + 8. Let g be x(7). What is the fourth biggest value in w, -5/4, a, g? -5/4 Let n = 21000.97 + -21004. Which is the second smallest value? (a) 0.5 (b) n (c) 2 (d) -2/5 (e) 0 d Let f(s) = -2*s + 2. Let z be f(2). Let t = 350.9 + -351. Which is the biggest value? (a) -5 (b) t (c) z (d) -6 b Let q be (5/2)/((-3150)/(-1512)). Let b = -0.635 - 21.015. Let r = b + -0.35. What is the biggest value in q, r, -0.3? q Let q be ((-6)/(-42))/(81/(-54)). Which is the third biggest value? (a) -4 (b) q (c) 1050/17 a Let u(w) = 19*w - 77. Let p be u(5). Suppose 6 = 21*h - p*h. Which is the fourth biggest value? (a) h (b) -4 (c) 4/9 (d) 4 b Let j(h) = h**2 + 10*h + 19. Let q be j(-9). Let v = -8243/13566 - -4/323. Let m = -2/21 - v. Which is the third biggest value? (a) -1 (b) q (c) m a Let x = 237.46 + -237. Let s = -52.46 + x. What is the biggest value in s, 4, 3? 4 Let l = 356 - 73. Let q = l - 282. What is the biggest value in q, -0.4, -1/9? q Let p = 7.943 - 8.243. What is the second biggest value in 2/13, -3, -4.4, -1/3, p? p Let k be (-100)/(-125)*10/(-60). What is the fourth biggest value in -4, 0.07, -40, 4/5, k? -4 Let j = -4.07 + 0.07. Let r = -8.2082 - 3.7918. Which is the third biggest value? (a) 2/7 (b) j (c) -1/8 (d) r b Let p be 5/68 - 339/(-1921). Which is the second biggest value? (a) 3 (b) 2 (c) p (d) 1.5 b Suppose 136*f - 145*f + 27 = 0. Let b(j) = 2*j**2 - 15*j + 32. Let h be b(f). What is the second smallest value in h, 3, 50? h Let t = -4314 - -4314.03. Which is the second biggest value? (a) 1 (b) 50 (c) -1/4 (d) t (e) -5 a Suppose 2*q = 9*q + 147. Let w be 3/q + 1/(-2). Let y = 3/28 - w. Which is the third biggest value? (a) 0 (b) -0.1 (c) y b Let j be (18 + -3)/(-3) - 4/(28/(-63)). What is the smallest value in 2/13, -0.3, -6.88, j? -6.88 Let u be (-28)/(-4) + 1*-2. Let k be ((-6)/(-9))/((-959)/(-105) - 9). Suppose k*w + u*q + 35 = 0, w - 11 = 4*q + 7. What is the smallest value in w, 10, -2/21? w Let s = 83.08 - 0.08. Let n = s + -73. Let h = -9.5 + n. What is the third biggest value in h, 1/3, 0.3, -0.3? 0.3 Let g = -102 - -109. Suppose -6*c - g = c. Let r(w) = -w**3 + 11*w**2 - 14*w + 43. Let f be r(10). What is the fourth smallest value in -1/3, f, c, -0.2? f Let d = 32 + -34. Let t = -1 + d. Let l = 185 - 185.3. What is the fourth smallest value in 2, 0.3, t, l? 2 Let l be -2 + (-58)/(-6) - (42 + -34). What is the fourth biggest value in -2/29, -0.05, 6, l? l Let y = 76.87 - 3.87. Let m = 72.9 - y. What is the biggest value in -2, 3, m? 3 Let b(p) = -p**3 - 7*p**2 - 5*p + 2. Let l be b(-7). Let c = -6.2948 - -6.1948. What is the biggest value in 4, c, 5, l? l Let c = -58656 - -58632.027. Let v = -24 - c. Let p = -0.033 + v. What is the second biggest value in -0.3, p, -1? -0.3 Let z = 37/3 - 12. Let o = -1004.2 - -1002.2. Which is the second biggest value? (a) z (b) -1 (c) 4 (d) o a Let j = 0.617 + -0.117. Let w be (-36)/8*2/12. Which is the third smallest value? (a) -1/3 (b) -0.15 (c) w (d) j b Let o(v) = -3*v**3 + 5*v + 3*v**2 + 4*v**3 + 3*v**3 - 5*v**3. Let a be o(4). Let q = -570 + 569.9. What is the third biggest value in -1, a, -3/5, q? -3/5 Let r = -13 + 5. Let c = 4973 - 4976. What is the fourth biggest value in 4, c, r, 5? r Let g(c) = -c**2 + 22*c + 101. Let z be g(20). Let v = z + -565/4. Let i be (-12)/10 - (-2)/2. What is the third biggest value in v, i, 5? v Let h = -52.7 - -53. Let y = -977 - -1097. What is the fourth biggest value in h, 2, y, 0.5? h Let p = 3/1711 + 1693/10266. Let q(g) = g**3 - 6*g**2 + 2. Suppose -3 = w
{ "pile_set_name": "DM Mathematics" }
sqrt(17)/2 Simplify ((sqrt(180)/sqrt(4)*1)/sqrt(3))/(4*(sqrt(3)*2*3 - sqrt(3))). sqrt(5)/20 Simplify ((-1*sqrt(102)*-4)/(-3*sqrt(216)))**2*-4. -272/81 Simplify -3 + ((5*sqrt(130)*-2 - sqrt(130)) + -6*-1*sqrt(130))/(sqrt(30)/(sqrt(243)*2)). -90*sqrt(13) - 3 Simplify -2*sqrt(209)/sqrt(539) - ((-2 + sqrt(475) + sqrt(19))**2 + (sqrt(684)*-1)**2). -1372 + 166*sqrt(19)/7 Simplify (-5*(4*2*sqrt(3) + sqrt(243) + -2 + sqrt(243) - (1 + sqrt(3) + -5 + sqrt(120)/sqrt(10))))**2. 2300*sqrt(3) + 39775 Simplify ((1 + 5*(-1 + sqrt(2) + sqrt(6)/sqrt(3) + -5)*-2)*2)**2. -9760*sqrt(2) + 18084 Simplify sqrt(104)/(sqrt(24)/sqrt(3)) - ((3*sqrt(117))**2 + sqrt(117)) - ((-1 + sqrt(1872) + sqrt(13))**2 - sqrt(143)/(sqrt(11)*1)). -3251 + 25*sqrt(13) Simplify (sqrt(18) + sqrt(36)/sqrt(2) - ((sqrt(8)/sqrt(4) - sqrt(2)) + -3) - (sqrt(150) + (sqrt(150) - sqrt(150)*3))/sqrt(3))**2. 66*sqrt(2) + 251 Simplify (4*(sqrt(2700) - (-2*2*sqrt(2700) + sqrt(2700)))/(2*(sqrt(9) + sqrt(9) + sqrt(81)) - (sqrt(9) + -1*(sqrt(36)/sqrt(4) + sqrt(9)) + sqrt(9))))**2. 768 Simplify sqrt(405) + 6*sqrt(405)*2 + 1 + (6*(sqrt(405) + 0 - sqrt(405))*-6)**2. 1 + 117*sqrt(5) Simplify (-3*(-5*(4 + sqrt(65)/sqrt(5)) - sqrt(52)/(sqrt(28)/sqrt(28) - sqrt(4))))**2*-3. -13959 - 3240*sqrt(13) Simplify 3*(sqrt(143)/(sqrt(44)*4))**2 + -3. -153/64 Simplify -1*(-5*(-1 + sqrt(44)/(sqrt(144)/sqrt(4)))*-4)**2. -8000/9 + 800*sqrt(11)/3 Simplify (5 + sqrt(1053)*2 + -3 + 2*sqrt(1053)*-6 + 4)**2. -1080*sqrt(13) + 105336 Simplify (4 + -2 + sqrt(11) + sqrt(11))*-3 - ((sqrt(99)*3)/sqrt(9) + -3). -9*sqrt(11) - 3 Simplify ((-6*(4 + (sqrt(396) - 3*sqrt(396)) - sqrt(396)) + -5)*-3)**2. -56376*sqrt(11) + 1162305 Simplify (-5 + ((0 + sqrt(396))**2 + sqrt(396) - sqrt(396)) - ((sqrt(11)*-1*2)**2 - (-1*sqrt(891))**2)) + 4. 1242 Simplify ((-4*-1*sqrt(190))/(sqrt(960)/sqrt(6)))**2. 19 Simplify ((-3*sqrt(264))/sqrt(11))/(sqrt(432)/sqrt(4) - sqrt(12)). -3*sqrt(2)/2 Simplify (1 + sqrt(3) + 0 + sqrt(3) - (2 + sqrt(48))) + -1*sqrt(192) + sqrt(162)/sqrt(6). -7*sqrt(3) - 1 Simplify 0 + -2*((sqrt(242)*1 - sqrt(242)) + -5) + 5. 15 Simplify (3 + sqrt(1539) - sqrt(1539))**2 + (sqrt(304) + 3 + sqrt(304))**2 + (sqrt(19) + -3 + (sqrt(171))**2 - sqrt(475)*-3). 64*sqrt(19) + 1402 Simplify (-1*5*(3 + sqrt(2) + sqrt(2)) + -5*(sqrt(18) + 0) + 2)**2. 650*sqrt(2) + 1419 Simplify (3*-1*sqrt(208) + -4 + -5*(4*(sqrt(208) + sqrt(208) + 1 + sqrt(208)) - sqrt(208)))**2. 11136*sqrt(13) + 700288 Simplify ((sqrt(36)/(sqrt(96)/sqrt(8)))**2 - (sqrt(48) + 4)) + 1. -4*sqrt(3) Simplify 5*(2*(-4 + 1 + sqrt(2057)) + 0)*6. -180 + 660*sqrt(17) Simplify ((2 + -1*sqrt(288) + sqrt(288) + sqrt(288) + 5)**2 + 5)*1. 168*sqrt(2) + 342 Simplify ((sqrt(392)*2)/sqrt(8))/(2*sqrt(252) + sqrt(252)). sqrt(7)/9 Simplify -6*(sqrt(3) - (sqrt(3) + 1))**2 - 1*(sqrt(3) + (sqrt(3) + (sqrt(3)*-2 - sqrt(3)))**2) - (sqrt(243) - (-3 + sqrt(243) + -2)). -23 - sqrt(3) Simplify (5 + (sqrt(637) + -2 + -3)*6)**2. -2100*sqrt(13) + 23557 Simplify -5*sqrt(14)/sqrt(2)*1 + -5*(2*sqrt(1008) - sqrt(7)). -120*sqrt(7) Simplify ((sqrt(30) + sqrt(270)/sqrt(225))/(-2*sqrt(600)) + 0)**2. 9/500 Simplify (sqrt(612) + (sqrt(612) - (sqrt(612) + -1)) + -1)**2 + -4*(-1 + sqrt(612))**2 - ((sqrt(612) - (2 + sqrt(612) + -1)**2) + sqrt(612)*-1 + 4). -1231 + 60*sqrt(17) Simplify (5 + sqrt(208) + 0 + 0)**2 - (1*sqrt(208) + 0 + 3). 36*sqrt(13) + 230 Simplify -1 + 1 + sqrt(4)/sqrt(2) + -3 + 1. -2 + sqrt(2) Simplify (sqrt(288)*-2*-4 - (sqrt(288) + -2*sqrt(288)*-5 + sqrt(288)))/((sqrt(9) - (sqrt(1296) - (sqrt(1296)*1 + sqrt(1296) + sqrt(1296))))*-4). 4*sqrt(2)/25 Simplify 2 + (-6*(sqrt(684)*2 + 1*sqrt(304) - (-2 + sqrt(1539))*1))**2. 1008*sqrt(19) + 33662 Simplify (sqrt(448) + -2 + -3)**2*4 + 1. -320*sqrt(7) + 1893 Simplify (-6*(sqrt(36) + ((sqrt(216) - (sqrt(216) - (sqrt(216)*2 - sqrt(216) - sqrt(216))))/sqrt(6) - sqrt(36)) - sqrt(36)))/(-4*sqrt(144)/sqrt(3)). -3*sqrt(3)/4 Simplify (sqrt(1088) - (-3 + sqrt(1088)))*5 + -5 + -4. 6 Simplify 4*4*sqrt(1008) + (((sqrt(7) + 1 + sqrt(7))*-1)**2 - sqrt(1008)*2). 29 + 172*sqrt(7) Simplify 0 + (6*-3*-5*(-1 + sqrt(19)*1))**2 + -2. -16200*sqrt(19) + 161998 Simplify (-5 + (-3 + sqrt(52)*-3 - sqrt(52)))*4. -32*sqrt(13) - 32 Simplify ((1*sqrt(102))/sqrt(6) + sqrt(17))**2*-4 + (sqrt(102)*-1)/sqrt(6)*2. -272 - 2*sqrt(17) Simplify (5*(-1 + sqrt(1700) + 2 + 3 + -1 + sqrt(1700) + (sqrt(1700) + 1 + 2*sqrt(1700))*-3))**2. 2082500 Simplify -5*((sqrt(242) - -3*-3*sqrt(242))*3)**2. -696960 Simplify 0 + ((1 + sqrt(320) + (sqrt(320) - sqrt(320)*-5) - (-4 + sqrt(320) + -4)) + -4)**2. 480*sqrt(5) + 11545 Simplify ((2*sqrt(95))/sqrt(5))**2 + (-1 + sqrt(19)*-3)**2 - ((sqrt(152) - (sqrt(152)*1 + sqrt(152) - sqrt(152)))*-4)/(-2*sqrt(648) - sqrt(648)). 6*sqrt(19) + 248 Simplify (2*sqrt(85)*-2 + 2*sqrt(85)*1)/(6*3*sqrt(5)*1). -sqrt(17)/9 Simplify (-6*(-1 + sqrt(363)) + -1 + 1*sqrt(363))**2*-2. -18200 + 1100*sqrt(3) Simplify 1*sqrt(33)/sqrt(99) - (sqrt(3) + sqrt(36)/(sqrt(60)/sqrt(5) + sqrt(12)) + -3). -7*sqrt(3)/6 + 3 Simplify (1*sqrt(234))/((sqrt(20) + sqrt(20)*3)/sqrt(10) + sqrt(2)). 3*sqrt(13)/5 Simplify sqrt(5) + (sqrt(210)/sqrt(6) + sqrt(35) + sqrt(35))/sqrt(7) + 5 + (3*sqrt(165)/sqrt(3))/sqrt(11). 5 + 7*sqrt(5) Simplify ((sqrt(25) + (sqrt(25) - sqrt(50)/sqrt(2)) + sqrt(25))*5 - sqrt(1600)*-2)/(sqrt(55)/(sqrt(33)/sqrt(3)) + (sqrt(5) - sqrt(20))*4). -26*sqrt(5)/3 Simplify ((-2*-2*sqrt(792))/(sqrt(72) + sqrt(72) + (6*1*sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(72) - sqrt(72) - sqrt(72)))**2 + -1. 127/49 Simplify 1 + (sqrt(8)*-3*-6)/((sqrt(48)/sqrt(2))/sqrt(6)). 1 + 18*sqrt(2) Simplify (-6*(sqrt(50) + -1) + 1*sqrt(50)*-1)**2. -420*sqrt(2) + 2486 Simplify (5*sqrt(125)*3*1)**2*4 + -5. 112495 Simplify (2*(sqrt(1331) + 2 + -1))**2 + -3 + sqrt(88)/(-4*(sqrt(32) + sqrt(8))). 1055*sqrt(11)/12 + 5325 Simplify ((sqrt(1377) + -1 + sqrt(1377) + -5 - sqrt(1377)) + 5 - (-2 + sqrt(1377) + 1)*4)**2. -162*sqrt(17) + 12402 Simplify 4*(sqrt(19) + -2 + -3)**2 - ((1*sqrt(931))**2 + -3). -752 - 40*sqrt(19) Simplify (-5*(sqrt(102) + sqrt(102)*2))/(sqrt(6) + sqrt(54)/sqrt(441)). -105*sqrt(17)/8 Simplify (-4 + (-1 + sqrt(1584) + sqrt(1584)*1 - sqrt(1584))**2*6 + -4)*-6. -57012 + 864*sqrt(11) Simplify (3*(sqrt(38) + 2*sqrt(38)))/sqrt(2) + 2*(sqrt(38)/(sqrt(10)/sqrt(5)))**2. 38 + 9*sqrt(19) Simplify ((sqrt(50) + -5 - sqrt(16)/sqrt(8)*3)*6)**2. -720*sqrt(2) + 1188 Simplify (-4 + (5*(sqrt(117) + -1) - 4*(1 + sqrt(117))) + 6*4*(sqrt(117)*-1 + sqrt(117)))**2. -78*sqrt(13) + 286 Simplify sqrt(972) - (sqrt(972) - (sqrt(972) + -1) - sqrt(972))**2 - sqrt(144)/(sqrt(36)/sqrt(3)). -973 + 52*sqrt(3) Simplify (1*(sqrt(133) - (sqrt(133) + (sqrt(133) - sqrt(133)*-2)) - sqrt(133)))/(2*sqrt(112) + sqrt(112)). -sqrt(19)/3 Simplify ((2*sqrt(729))/sqrt(3) - (sqrt(9)/(sqrt(30)/(sqrt(10) + sqrt(10)*2)))**2)*-5. -90*sqrt(3) + 135 Simplify ((sqrt(1575) + sqrt(1575)*4 + sqrt(1575) - sqrt(1575))/(sqrt(108)/(sqrt(24)/sqrt(2))))**2. 4375 Simplify ((sqrt(162) + (sqrt(162) - (sqrt(162) + (sqrt(162)*1 - sqrt(162) - sqrt(162)))) + sqrt(162))/sqrt(6))/sqrt(9) + 1 + sqrt(432)*-2. -21*sqrt(3) + 1 Simplify 2 + sqrt(208) + (1*sqrt(208) - sqrt(208))**2 + sqrt(1573)*2 + 1. 3 + 26*sqrt(13) Simplify 1*(sqrt(84)*-1*-6)/(3*sqrt(300) + sqrt(12) - sqrt(12)). 2*sqrt(7)/5 Simplify ((sqrt(304) + sqrt(304)*-1)*-3 - -2*(sqrt(2299) + -2))**2. -176*sqrt(19) + 9212 Simplify -2 + (2 + (sqrt(300) + -1 + -4 - -3*(sqrt(300) - (1 + sqrt(300)))))**2. -120*sqrt(3) + 334 Simplify (-5*((-3*(-1 + sqrt(192)) + sqrt(192) - sqrt(192)) + -1*sqrt(192) + 4 + 1))**2. -12800*sqrt(3) + 78400 Simplify (((-1*sqrt(114))/sqrt(6) + sqrt(19) - (sqrt(19) - (sqrt(19) + 0)*-2))*-6 + -3*sqrt(2736)*2 + 3 + sqrt(2736) + -1)**2. -168*sqrt(19) + 33520 Simplify -4 + ((-5 + 1 + sqrt(1053))**2 - (sqrt(1053)*1 + 4)) + 4. -81*sqrt(13) + 1065 Simplify (sqrt(119) + sqrt(119)*-1*2 - sqrt(119) - -3*2*sqrt(119))/((sqrt(567) - (sqrt(567)*4 - sqrt(567)))*3). -2*sqrt(17)/27 Simplify -1 + -4*(3 + 1*sqrt(343) + 1)**2. -1437 - 224*sqrt(7) Simplify 2 + (-2*sqrt(51)/sqrt(3) - sqrt(51)/sqrt(3)*-6)*3. 2 + 12*sqrt(17) Simplify -1*(-4 + -3*sqrt(320) + -5) + -1. 8 + 24*sqrt(5) Simplify 5*((-4*(sqrt(112) - (-5*sqrt(112) + sqrt(112))) + sqrt(112) - sqrt(112) - sqrt(112))*-6 + 4)**2. 20160*sqrt(7) + 8890640 Simplify -4*((2*sqrt(136) + sqrt(136)
{ "pile_set_name": "DM Mathematics" }
3 Differentiate -434893281*y**2 + 704247886 with respect to y. -869786562*y Find the second derivative of -9*j**2*k**2 - 658388*j**2*k + 20*j**2 + 4*j + 6*k**3 - 205167*k**2 + 2*k wrt k. -18*j**2 + 36*k - 410334 Find the third derivative of 608*a**3*u**3*w + 24897*a**3*u**3 - 5*a**2 - 33*a*u**2*w - 26*u**3*w + 2*u + 74 wrt a. 3648*u**3*w + 149382*u**3 What is the first derivative of -y**3 - 1012195*y**2 + 19618169? -3*y**2 - 2024390*y What is the second derivative of -95078324*z**5 + 22013007*z? -1901566480*z**3 Find the third derivative of -1429*p**4*v**2 + 6339*p**3*v**2 - 8*p**2*v**2 + 156339*v**2 wrt p. -34296*p*v**2 + 38034*v**2 What is the first derivative of -34813872*m**2 - 59512402? -69627744*m Find the third derivative of 5641275*w**5 - w**4 + 27631547*w**2. 338476500*w**2 - 24*w What is the third derivative of 101564008*c**3*r - 3*c**2*r + 2*c**2 - 27*c*r - 3473*r - 1 wrt c? 609384048*r What is the third derivative of -124761*p**6 - 389*p**3 + 32*p**2 + 2777497*p wrt p? -14971320*p**3 - 2334 What is the third derivative of -34935981*g**5 - g**2 + 462721*g wrt g? -2096158860*g**2 Find the third derivative of -70*b**2*d**6 + 33792*b**2*d**3 - 344870*b**2*d - b + 5*d**2 + 3*d + 2 wrt d. -8400*b**2*d**3 + 202752*b**2 Differentiate -27779282*b*t**2 - 36*t**2 - 196583*t - 2 with respect to b. -27779282*t**2 Find the first derivative of -13*n**2*p**2 - 18728285*n*p**3 + 109791118*p**3 wrt n. -26*n*p**2 - 18728285*p**3 Find the third derivative of 3674160*x**5 - 1586*x**2 + 172*x - 1 wrt x. 220449600*x**2 Find the second derivative of 212698637*h**4 - 6808103*h wrt h. 2552383644*h**2 Find the second derivative of 4522*x**4 - 16*x**3 + 783*x**2 - x + 52631171. 54264*x**2 - 96*x + 1566 What is the second derivative of -101322*u**3 + 5*u**2 + 12357202*u wrt u? -607932*u + 10 Find the second derivative of -30946*b**3*i**2*m - 63*b**3*m - 2*b**2*i*m + 459*b**2*m + 2*b*i**2*m - 45*i**2*m - 3*i*m wrt i. -61892*b**3*m + 4*b*m - 90*m Find the first derivative of -74*g*v*w - 42*g*v + 2*g*w + 93*g - 2*v*w + 1302*v + 634*w wrt w. -74*g*v + 2*g - 2*v + 634 Find the first derivative of 20829*a**3 + 2431*a**2 + 780624426. 62487*a**2 + 4862*a What is the third derivative of 78147*a**5*b - 1559*a**3 - 426*a**2 - 13262*b - 6 wrt a? 4688820*a**2*b - 9354 What is the third derivative of -1370807*v**6 + v**5 + 6*v**2 - 422*v + 258? -164496840*v**3 + 60*v**2 What is the second derivative of 10*i**5 + 4*i**3 + 2938253*i**2 - 87796933*i - 4 wrt i? 200*i**3 + 24*i + 5876506 What is the derivative of 184*j**4 - 10*j**3 - 467*j**2 - 127156421 wrt j? 736*j**3 - 30*j**2 - 934*j Differentiate 1410*r**3 + 107*r**2 - 2*r + 14808066. 4230*r**2 + 214*r - 2 Find the third derivative of 34682962*a**3 + 93580331*a**2. 208097772 Differentiate -2917*o*p**2 + 37834*o*p + 144*p**2 + 12*p + 26545 with respect to o. -2917*p**2 + 37834*p Find the first derivative of -c**3*j + 289545*c**3 - 7094*c**2*j - 3*c*j - 3*j + 2 wrt j. -c**3 - 7094*c**2 - 3*c - 3 Find the third derivative of -7*a**4 - 18*a**3*j - 280*a**3 + 491209*a**2*j + 5*j wrt a. -168*a - 108*j - 1680 Differentiate 4*z**3 + 87*z**2 + 46725*z + 100065847 wrt z. 12*z**2 + 174*z + 46725 Find the second derivative of -f*m**2 - 3*f*m - 102955*f + 1258183*m**3 + 6*m**2 + 35*m wrt m. -2*f + 7549098*m + 12 Find the second derivative of 10*o**5 + 15263363*o**4 + 102371930*o. 200*o**3 + 183160356*o**2 Differentiate -235*k*x - 835796*k - 86917413*x with respect to k. -235*x - 835796 Find the second derivative of 64862568*f*r**2 + 3*f*r - f - 41397*r - 19 wrt r. 129725136*f What is the second derivative of 40436950*k**2*n**3 - 2041*k + 14302*n**3 wrt k? 80873900*n**3 What is the second derivative of -699116426*l**2 + 30208884*l? -1398232852 Find the third derivative of -4*f**5 + 8458242*f**4 + 7304*f**2 + 626*f. -240*f**2 + 202997808*f Find the second derivative of 4365898*l**3 - 36*l**2 - 650590381*l wrt l. 26195388*l - 72 What is the third derivative of -176562340*h**3 + 108*h**2 - 386436*h + 1? -1059374040 What is the third derivative of -552644*i**3 - 120*i**2 + 83*i + 80? -3315864 Differentiate 176380490*n**3 + 105279293. 529141470*n**2 Differentiate 151525695*p**4 - 76765043 wrt p. 606102780*p**3 Find the second derivative of -347176480*g**4 - 467*g - 223024 wrt g. -4166117760*g**2 What is the first derivative of 37262700*u + 87065510 wrt u? 37262700 What is the first derivative of 16*p**4 - 237161*p**3 - 160233549 wrt p? 64*p**3 - 711483*p**2 Find the third derivative of 56958192*n**3 - 62654494*n**2. 341749152 What is the third derivative of -621722139*b**3 + 25444*b**2 - 4430? -3730332834 What is the second derivative of 221351*o**3*r**2 + 475*o**2*r**3 - 3125754*o*r**3 + 26*o*r wrt o? 1328106*o*r**2 + 950*r**3 What is the third derivative of -8*o*q**4 - 5354769*o*q**3 + o*q**2 - 257*o*q - 9611*o - 9*q**2 - q + 2 wrt q? -192*o*q - 32128614*o Find the second derivative of -743539*b**4 - 6849244*b. -8922468*b**2 Find the third derivative of 4467*f**5 - 74*f**4 + 5*f**3 - 20*f**2 + 22*f + 10760 wrt f. 268020*f**2 - 1776*f + 30 What is the second derivative of 38*q**2*s - 474331*q**2 + 3107*q*s - 4*q + 385*s wrt q? 76*s - 948662 What is the second derivative of -2*t**3*u - 33*t**3 - 3*t**2*u + 101*t**2 + 201*t*u + 2390*t - 4*u wrt t? -12*t*u - 198*t - 6*u + 202 Find the second derivative of -19333353*w**3 - w**2 - 6878*w - 2536. -116000118*w - 2 What is the second derivative of 2382*s**2*v**3 - 192*s**2*v + 3*s*v**3 - 252*s*v**2 + 5*s*v + 10*v wrt s? 4764*v**3 - 384*v What is the derivative of 45*g**3 + 2786*g**2 + 18*g + 43854765? 135*g**2 + 5572*g + 18 What is the second derivative of 338353*m**5 + 2*m**4 + 3*m**2 - 610450*m + 6 wrt m? 6767060*m**3 + 24*m**2 + 6 What is the third derivative of -196889196*y**5 - 9975315*y**2 - 2*y + 2 wrt y? -11813351760*y**2 Find the second derivative of -14958*a*i**2 + 8363898*a*i*x**3 - 3*a*i - 3*a*x - i**2*x**2 - 5*i**2 wrt x. 50183388*a*i*x - 2*i**2 What is the second derivative of -15118*c**2*i*k**3 - 183*c**2*i*k + 3*c**2*i - c*i*k + 17*c*i + 2*c*k**2 + 9*i*k**3 - 16*i*k**2 - 2*i*k + 4*i wrt c? -30236*i*k**3 - 366*i*k + 6*i Find the second derivative of 400671*y**4 - 3*y**3 + 13964435*y. 4808052*y**2 - 18*y Find the first derivative of -107499492*q + 98790883 wrt q. -107499492 What is the third derivative of -21842881*v**3 + 59372253*v**2 wrt v? -131057286 What is the third derivative of -43242*i**3*p**3*t - 2*i**3*p*t + 3*i**2*p**2*t - i*p**3*t + i*p**2*t - 2*i*p**2 - 648*i*t - 24*p**3 + t - 64 wrt p? -259452*i**3*t - 6*i*t - 144 Differentiate 964602166*y**2 + 891302536 wrt y. 1929204332*y Find the second derivative of -i**3*u + 6*i**3 - 1711*i**2*u - 11*i**2 + 30947*i*u + 5*i - 10*u wrt i. -6*i*u + 36*i - 3422*u - 22 What is the third derivative of 191630086*f**3 - 4552*f**2 - 38*f - 18 wrt f? 1149780516 Find the second derivative of 298163664*o**2*w + 26*o*w - 4509964*w wrt o. 596327328*w Find the third derivative of 31065159*q**3 + 44026783*q**2 wrt q. 186390954 What is the first derivative of -3859835*d*h - 671676*d wrt h? -3859835*d What is the derivative of -8780074*j - 10552344? -8780074 What is the first derivative of -171650891*g**3 + 141074832 wrt g? -514952673*g**2 What is the second derivative of 27689*c*w**3 - 2*c*w**2 + 9882*c*w + 5*c - 178*w**2 + 2*w + 1 wrt w? 166134*c*w - 4*c - 356 Differentiate -89688*z**2 + 226*z + 15340945 with respect to z. -179376*z + 226 What is the second derivative of -110*j**5 + 227*j**3 + 6*j**2 + 4393999*j? -2200*j**3 + 1362*j + 12 What is the first derivative of -436025859*l + 389518403 wrt l? -436025859 Find the third derivative of 3*t**6 - 9747126*t**5 + 18781*t**2 - 7*t - 46. 360*t**3 - 584827560*t**2 What is the derivative of 114189183*v**4 - 106462696 wrt v? 456756732*v**3 Find the second derivative of -338*s**5*y**3 - 345*s**2*y**3 + 41*s*y + 5*s + 35*y**3 - 21*y wrt s. -6760*s**3*y**3 - 690*y**3 What is the second derivative of -96554*j**3 - 20*j**2 + 18329549*j wrt j? -579324*j - 40 What is the first derivative of 706*o*q**3 - 295*o*q**2 - 2*o*q - o - 6*q**3 - 224481 wrt o? 706*q**3 - 295*q**2 - 2*q - 1 What is the first derivative of 1660645*u**4 + 6*u**3 - 17905927? 6642580*u**3 + 18*u**2 What is the second derivative of 456741
{ "pile_set_name": "DM Mathematics" }
-10. Find the third derivative of -3*a**r + 5*a**2 - a**2 - a**6 wrt a. -480*a**3 Let a(o) = -o**2. Let u(s) = 6*s**2 - s. Suppose 4*i + 21 = 3*q, -2*q - 5*i + 1 - 10 = 0. Let v(t) = q*a(t) + u(t). What is the second derivative of v(n) wrt n? 6 Let y(z) = -z**4 + z**3 + z + 10. Let k(g) = -g**3 - g. Let u(m) = -k(m) - y(m). What is the first derivative of u(n) wrt n? 4*n**3 Let x be 2/(-4)*16/(-2). Suppose -14 = -3*w + 5*y, -5*w + 0*y = 4*y - 11. What is the second derivative of -3*a**4 - w*a - a + x*a - 3*a wrt a? -36*a**2 Suppose 0 = -5*c + c. Suppose c = 5*x + z - 14, 4 = 3*z + 7. What is the first derivative of -4*p**x - p**3 - 2 + 3*p**3 + 0 wrt p? -6*p**2 What is the second derivative of a**4 + 5*a + 13*a - 2*a**4 - 6*a wrt a? -12*a**2 Let o be ((-44)/33)/((-1)/(-3)). Let w(m) = -4. Let s(f) = -f - 3. Let i(r) = o*w(r) + 5*s(r). What is the first derivative of i(u) wrt u? -5 Find the first derivative of -28*r - 2 + 23*r + 0 wrt r. -5 Let m(d) = -49*d**3 + 6*d**2 + 41. Let p(b) = 50*b**3 - 7*b**2 - 42. Let a(i) = 7*m(i) + 6*p(i). Find the first derivative of a(z) wrt z. -129*z**2 What is the third derivative of -5*r**6 - 162*r**4 + 162*r**4 + 4*r**2 wrt r? -600*r**3 Let l(q) be the first derivative of 13*q**6/3 + 11*q**3/3 + 3. What is the third derivative of l(z) wrt z? 1560*z**2 Suppose -j - 4*q - 13 = 0, 4*j + 0 = -5*q - 8. Let v(t) be the first derivative of 1/2*t**2 + 1/3*t**3 + 0*t + j. Find the second derivative of v(a) wrt a. 2 Suppose 0 = -3*j + 2*v - 6, 4*j + v - 3*v + 6 = 0. Let o(a) be the second derivative of 1/6*a**3 + 3*a + a**2 + j. Find the first derivative of o(q) wrt q. 1 Let m(s) be the second derivative of s**9/3024 - s**7/1260 - s**4/4 - 4*s. Let p(q) be the third derivative of m(q). What is the third derivative of p(b) wrt b? 120*b Let l be -27 - (1 - 3) - -1. Let q be ((-2)/(-6))/((-2)/l). Find the second derivative of 3*a**4 - 2*a**4 - 3*a - 2*a**4 - 2*a**q wrt a. -36*a**2 Suppose -6 - 14 = -4*d. Suppose -3*y + 1 = -d. What is the third derivative of 2*j**6 + j**2 + j**6 + j**y - 2*j**6 wrt j? 120*j**3 Let k = -10 + 13. What is the second derivative of -12 - k*t - 3*t**2 + 8 + 4 wrt t? -6 Let z(a) = a - 11. Let b be z(15). Let f(c) be the first derivative of 2 + 0*c**2 + 2*c + 0*c**3 + 1/5*c**5 + 0*c**b. Differentiate f(x) wrt x. 4*x**3 Suppose 2*k - 4 = 14. Let f = -6 + k. Find the third derivative of f*y**2 - y**2 + 0*y**2 - 3*y**6 wrt y. -360*y**3 Let o(b) be the third derivative of 7*b**4/12 + 3*b**3/2 + 6*b**2. Find the first derivative of o(y) wrt y. 14 Find the second derivative of -1 - 20*l**3 + 1 + l**3 - 2*l wrt l. -114*l Let i(f) be the first derivative of -f**6/40 - f**4/3 + 8*f**3/3 + 9. Let b(t) be the third derivative of i(t). Find the first derivative of b(n) wrt n. -18*n Suppose 8 = 3*v - v. Find the second derivative of 3 - 1 - 2 - v*p - 5*p**4 wrt p. -60*p**2 Let c(j) be the third derivative of 0*j + 0 + 0*j**3 + 0*j**5 - 1/12*j**4 - j**2 + 1/120*j**6. Find the second derivative of c(s) wrt s. 6*s Let m = -16 + 18. Let s(l) = -l**2 - 4*l + 2. Let r be s(-4). What is the third derivative of 4*v**4 - v**r - 5*v**4 + 0*v**m wrt v? -24*v Let i(g) = 6*g**5 - 2*g**4 + 2*g**3 + 6*g**2 + 2*g. Let k(f) = f**4 - f**3 - f**2 - f. Let j(t) = -i(t) - 2*k(t). What is the third derivative of j(l) wrt l? -360*l**2 Let l(t) be the third derivative of 0*t**5 + 0*t + 0 - 4*t**2 + 1/24*t**4 + 0*t**3 + 0*t**6 - 1/70*t**7. What is the second derivative of l(w) wrt w? -36*w**2 Let i(x) = x**2 + 7*x - 11. Let s be i(-8). Let o = s - -5. What is the third derivative of -o*h**2 - 5*h + 5*h - h**6 wrt h? -120*h**3 Let i = 2 - -1. Suppose w - 15 = -i*f, -5*f + 25 = -4*w + 2*w. Differentiate -4*k + 2*k + 3 - f with respect to k. -2 Let p(m) be the second derivative of -11*m**8/28 + 3*m**4/4 + 14*m. Find the third derivative of p(z) wrt z. -2640*z**3 Let c(p) = -p**2 + 5. Let m be c(0). Suppose 0*s + 3*s - 2*y - 19 = 0, 0 = m*s + 3*y. What is the derivative of -4*i**3 - i**s + 3*i**3 + 3 wrt i? -6*i**2 Let k(u) = -40*u**3 + 12*u**2 + 3*u. Let p(z) = 79*z**3 - 25*z**2 - 5*z. Let q(i) = 5*k(i) + 3*p(i). Find the third derivative of q(t) wrt t. 222 What is the third derivative of -3*h**4 + 99*h - 6*h**2 - 24*h**4 - 99*h wrt h? -648*h Let w(f) be the third derivative of -4*f**7/35 - 3*f**4/8 - 40*f**2. What is the second derivative of w(y) wrt y? -288*y**2 Suppose 3*m - 8 = 2*k, 5*m - 5 = 3*k + 8. What is the third derivative of 17*p**2 - 4*p**3 + 2*p**3 - 19*p**m wrt p? -12 Let w = 84 - 81. Let t(p) be the second derivative of 0 + 2/3*p**w - 3*p + 1/2*p**2. Differentiate t(i) with respect to i. 4 Let y(p) be the second derivative of -9*p**5/20 + 3*p**3/2 - 8*p. Find the second derivative of y(u) wrt u. -54*u Suppose 0 = 2*d - 4*w - 18, d + 3*d + 5*w = 10. Suppose 3 = -d*g - 2, -t = -3*g - 5. Find the second derivative of -j**5 + 3*j**5 - t*j + 0*j**5 - 3*j**5 wrt j. -20*j**3 Let c(i) = i. Let k be c(2). Find the first derivative of 0*s + 1 + 3*s - k*s + 0 wrt s. 1 Let h be 1*2*(4 + -5). Let n be (0 - h) + 0/(-1). Find the second derivative of 0*d - d**n + 2*d**2 - d wrt d. 2 What is the second derivative of 31*u**2 - 2*u**2 - 7*u - 14*u**2 wrt u? 30 Suppose -3*c - 8 = -7*c. Find the second derivative of -c*d - 3*d + 101*d**2 - 96*d**2 wrt d. 10 Suppose 0 = i + 5 - 8. Let m(g) be the second derivative of 0*g**2 + 3/20*g**5 + 0*g**4 + 0 + 1/6*g**i + 3*g. Find the second derivative of m(z) wrt z. 18*z Let q(y) = -27*y - 45. Let m(l) = -13*l - 22. Let u(c) = -9*m(c) + 4*q(c). What is the first derivative of u(g) wrt g? 9 Let f = 6 - -3. Suppose 2*y - f = -3*g - y, -5*g + 15 = -4*y. Find the third derivative of -3*a - a**5 + g*a - 2*a**2 wrt a. -60*a**2 Let z(b) be the second derivative of -b**7/6 + b**4/12 - 5*b. Find the third derivative of z(x) wrt x. -420*x**2 Let i(f) be the third derivative of f**7/35 - f**4/6 - f**2. Find the second derivative of i(z) wrt z. 72*z**2 Let k(r) = 3*r - 3*r**2 + 4*r**2 + 3*r + 7. Let d be k(-5). Find the first derivative of q**2 + 3 + 3*q**2 - 3*q**d wrt q. 2*q Let u(p) be the first derivative of -37*p**3/3 - 19*p + 16. Differentiate u(j) with respect to j. -74*j Suppose 2*b + 4*r = -2*b + 20, 4*b = -2*r + 16. Find the second derivative of o**3 + o**3 + 3*o**4 + b*o - 2*o**3 wrt o. 36*o**2 Let h be 1*(-3 + -19)/(-2). Differentiate 0*k**2 - 2 + 8*k**2 + 5 - h*k**2 with respect to k. -6*k Let v(u) = 4*u**3 - 2*u**2 + 2*u. Let a be v(1). Find the first derivative of 8 - 8*d**a - 14*d**3 + 14*d**3 wrt d. -32*d**3 Suppose -6 + 14 = -4*x, -4*i = x - 14. Find the second derivative of -9*c**4 - c**3 + i*c**4 - 5*c + c**3 wrt c. -60*c**2 Let h(f) be the third derivative of -1/20*f**5 + 0*f**4 + 0 - 1/210*f**7 + 0*f + 0*f**3 + 0*f**6 + 4*f**2. Find the third derivative of h(o) wrt o. -24*o Let l(v) be the second derivative of v**6/15 - 5*v**3/3 + 2*v. What is the second derivative of l(w) wrt w? 24*w**2 Let s(z) be the third derivative of 1/12*z**4 + 0*z**3 - 1/12*z**5 - 3*z**2 + 0 + 0*z. Find the second derivative of s(r) wrt r. -10 Let p(a) be the second derivative of 0*a**4 + 0 + 2/15*a**6 + 0*a**2 + 2/3*a**3 + 4*a + 0*a**5. What is the second derivative of p(s) wrt s? 48*s**2 What is the third derivative of 0*y**5 + 3*y**5 + 37*y**2 - 38*y**2 wrt y? 180*y**2 Let f(p) be the third derivative of -16*p**7/105 + 2*p**3/3 - 18*p**2. Differentiate f(o) with respect to o. -128*o**3 Let p(k) be the first derivative of 11*k**3/3 + 11*k**2/2 - 14. What is the second derivative of p(n) wrt n? 22 Let x(s) = -23*s**3 + 5*s**2 + 5*s. Let b(z) = 34*z**3 - 8*z**2 - 7*z. Let i(v) = -5*b(v) - 7*x(v). What is the third derivative of i(a) wrt a? -54 Differentiate 7 - 4*a**2 + 2*a**2 + 8 - 5*a**2 with respect to a. -14*a Suppose 3*b = -7 + 22. What is the second derivative of -13*l**5 - 5*l - 2*l + 2*l + 6*l**b wrt l? -140*l**3 Let m(k) = -k**3 - k**2. Let j(c) = 15*c**3 + 15*c**2. Let r(y) = -j(y) - 6*m(y). What is the third derivative of r(w) wrt w? -54 Find the third derivative of 7*u**6 - 19*u**6 + 7*u**6 - 38*u**2 + u**6 wrt u. -480*u**3 Suppose 2*a - 10 - 2 = 0. Let r = a - 2. What is the second derivative of z**4 + 0*z**4 + 2*z + 0*z**r wrt z? 12*z**2 Let u(f) = -7*f**2 + 2*f - 6. Let b(a) = -15*a**2 + 5*a - 13
{ "pile_set_name": "DM Mathematics" }
609487 a prime number? True Is 104821 composite? True Is 3489 composite? True Is 181123 a composite number? False Is 1293739 a prime number? True Is 3011 prime? True Is 6337 a prime number? True Is 41417 composite? True Is 167699 composite? True Is 12047 composite? True Is 2098 a prime number? False Is 88721 composite? False Is 16753 a composite number? True Is 1517 a prime number? False Is 3989 a composite number? False Is 45307 prime? True Is 3383 composite? True Is 991303 prime? False Is 954293 composite? True Is 10898 a composite number? True Is 597281 a prime number? False Is 34211 a prime number? True Is 4020677 a composite number? True Is 161599 prime? True Is 30161 composite? False Is 3409 prime? False Is 3407 a composite number? False Is 125273 prime? False Is 1647539 a composite number? True Is 239357 composite? False Is 1693 composite? False Is 1138 composite? True Is 21787 prime? True Is 878105 a prime number? False Is 27211 composite? False Is 13963 composite? False Is 2361 prime? False Is 22603 a composite number? True Is 35381 a prime number? True Is 14777 a composite number? True Is 43331 a prime number? True Is 257487 composite? True Is 51713 composite? False Is 187205 a composite number? True Is 8489 a prime number? False Is 86899 a prime number? False Is 875377 composite? False Is 22327 a prime number? False Is 3943 a prime number? True Is 6197 composite? False Is 793 a composite number? True Is 136301 composite? True Is 2633 a prime number? True Is 88931 composite? True Is 11311 prime? True Is 10487 a prime number? True Is 23755 a prime number? False Is 6101 composite? False Is 491 prime? True Is 970321 prime? False Is 18287 prime? True Is 1838519 prime? True Is 381 a composite number? True Is 105899 composite? False Is 23003 composite? False Is 5513 a composite number? True Is 5314537 composite? False Is 20201 a composite number? False Is 3787 a composite number? True Is 377 a composite number? True Is 13859 composite? False Is 138691 a composite number? True Is 913 composite? True Is 7499 prime? True Is 50567 composite? True Is 21621 prime? False Is 1213 composite? False Is 310697 a prime number? True Is 3007 a prime number? False Is 3281 composite? True Is 13379 composite? True Is 349939 a prime number? True Is 16601 a prime number? False Is 18595 prime? False Is 9967 a composite number? False Is 139021 composite? False Is 78479 a composite number? False Is 158149 a prime number? False Is 106591 a prime number? True Is 61951 a composite number? True Is 7321 composite? False Is 245377 a composite number? True Is 222929 prime? False Is 307 a prime number? True Is 9517 a composite number? True Is 955 a prime number? False Is 8203 a composite number? True Is 17859 a prime number? False Is 16937 prime? True Is 213917 prime? False Is 9147 composite? True Is 24161 a composite number? True Is 4717 prime? False Is 503 a composite number? False Is 4729457 prime? True Is 53161 composite? False Is 388931 a composite number? False Is 3491 a prime number? True Is 254033 prime? False Is 26293 a prime number? True Is 253229 a composite number? False Is 97049 a composite number? True Is 183081 a prime number? False Is 114701 a prime number? False Is 210679 composite? True Is 34183 a composite number? False Is 96567 a composite number? True Is 246889 prime? True Is 39661 a prime number? False Is 217207 prime? True Is 414503 composite? False Is 153241 a prime number? False Is 297049 composite? False Is 373613 a composite number? False Is 837461 a composite number? False Is 422078 prime? False Is 7317737 a composite number? True Is 5737 a composite number? False Is 22177 a prime number? False Is 101767 a composite number? True Is 894937 prime? False Is 1379 a composite number? True Is 66403 prime? True Is 73237 prime? True Is 34179 composite? True Is 4621 composite? False Is 27329 a composite number? False Is 6079 a composite number? False Is 475582 a prime number? False Is 35795 a composite number? True Is 365991 a composite number? True Is 473549 a prime number? True Is 5669 a prime number? True Is 47111 composite? False Is 401 a composite number? False Is 419309 a composite number? True Is 61091 a composite number? False Is 1810831 a prime number? False Is 448807 composite? False Is 149191 a prime number? False Is 7753 prime? True Is 120287 a composite number? True Is 3863 a composite number? False Is 3709 a prime number? True Is 1622593 composite? True Is 5413 prime? True Is 4583 a composite number? False Is 214913 a composite number? False Is 317 prime? True Is 1674233 composite? True Is 77917 prime? False Is 36221 a prime number? False Is 7069 a prime number? True Is 57871 prime? False Is 1291 prime? True Is 24098 composite? True Is 196423 composite? True Is 379159 a composite number? True Is 36187 a composite number? False Is 387397 a prime number? True Is 130969 a prime number? True Is 34477 composite? True Is 63223 a prime number? False Is 2721 prime? False Is 30307 composite? False Is 472805 composite? True Is 30937 a composite number? False Is 447589 prime? False Is 1343 a prime number? False Is 417299 composite? True Is 41614 a composite number? True Is 122623 a prime number? False Is 48881 composite? True Is 384005 composite? True Is 1613857 composite? True Is 258173 a prime number? True Is 2669 a composite number? True Is 7621 prime? True Is 422 a composite number? True Is 295751 a prime number? True Is 17857 a composite number? True Is 5045 a composite number? True Is 1085267 a composite number? True Is 17965 a composite number? True Is 25791 a prime number? False Is 2161 a composite number? False Is 30047 prime? True Is 8315 a composite number? True Is 29707 a prime number? False Is 48305 a composite number? True Is 28133 a composite number? True Is 15493 composite? False Is 77201 prime? True Is 39635 composite? True Is 166343 prime? False Is 35093 prime? False Is 2203 a composite number? False Is 7343 a composite number? True Is 213703 a prime number? False Is 35605 a composite number? True Is 959533 prime? True Is 4443 a prime number? False Is 87 a prime number? False Is 4733 a prime number? True Is 47699 a prime number? True Is 14977 a prime number? False Is 86111 prime? True Is 38543 a prime number? True Is 3587 a prime number? False Is 647641 composite? False Is 10397 a prime number? False Is 11863 a composite number? False Is 1944551 prime? False Is 28697 a prime number? True Is 614831 prime? False Is 18391 a composite number? True Is 22247 a prime number? True Is 13159 composite? False Is 100387 prime? False Is 28513 a composite number? False Is 21265 a prime number? False Is 13649 prime? True Is 212723 a composite number? True Is 25661 a prime number? False Is 34211 prime? True Is 2190829 composite? False Is 6339 a prime number? False Is 19913 composite? False Is 10037 composite? False Is 80741 prime? False Is 6761 prime? True Is 145177 prime? True Is 83639 a prime number? True Is 2680003 prime? True Is 23603 a composite number? False Is 25031 a prime number? True Is 2081 composite? False Is 432713 composite? False Is 995183 prime? False Is 9467 composite? False Is 49871 composite? False Is 6247 a prime number? True Is 38957 composite? True Is 4282129 a composite number? False Is 35863 prime? True Is 2064377 prime? False Is 75913 composite? False Is 190751 prime? False Is 18419 prime? False Is 2237 composite? False Is 49303 a composite number? True Is 116713 composite? True Is 14563 a prime number? True Is 12758 a prime number? False Is 367357 a prime number? True Is 8263 prime? True Is 127943 a prime number? False Is 1799 a prime number? False Is 369407 a composite number? False Is 130821 composite? True Is 1276277 a prime number? False Is 34297 prime? True Is 386569 a prime number? True Is 291815 a prime number? False Is 41569 composite? True Is 118739 a prime number? True Is 19697 composite? False Is 223 a composite number? False Is 398143 a prime number? True Is 454271 a prime number? False Is 32467 a composite number? False Is 172373 prime? True Is 7279 composite? True Is 50497 prime? True Is 75937 composite? False Is 266317 a prime number? False Is 280061 a prime number? True Is 2819 composite? False Is 4
{ "pile_set_name": "DM Mathematics" }
-62270 to the nearest 10000. -60000 Round 21411000 to the nearest one hundred thousand. 21400000 What is -5823 rounded to the nearest 100? -5800 What is -85110 rounded to the nearest ten thousand? -90000 Round 0.009391 to three dps. 0.009 What is 0.00157218 rounded to 4 dps? 0.0016 What is -17250000 rounded to the nearest 1000000? -17000000 What is -910.9 rounded to the nearest one hundred? -900 What is -0.00000106051 rounded to 7 decimal places? -0.0000011 Round 9431 to the nearest ten thousand. 10000 Round 61.232 to the nearest 10. 60 What is 9959000 rounded to the nearest 100000? 10000000 What is 77300000 rounded to the nearest one million? 77000000 Round -159900 to the nearest 10000. -160000 What is 0.00013103 rounded to 6 decimal places? 0.000131 Round 0.000104692 to 7 decimal places. 0.0001047 What is -0.000002484 rounded to six dps? -0.000002 Round 115759 to the nearest 1000. 116000 What is 0.00000019878 rounded to 7 decimal places? 0.0000002 What is -0.0000230923 rounded to six decimal places? -0.000023 Round -3682.1 to the nearest 10. -3680 What is 0.0004046 rounded to 6 dps? 0.000405 Round -3.7903 to 2 decimal places. -3.79 What is -923290 rounded to the nearest one hundred thousand? -900000 Round 388.6 to the nearest 10. 390 What is -435000 rounded to the nearest 1000000? 0 What is 0.00544 rounded to 3 dps? 0.005 What is 0.35642 rounded to one decimal place? 0.4 Round -0.002983 to 4 decimal places. -0.003 Round 0.025708 to 4 decimal places. 0.0257 What is 0.000067 rounded to four dps? 0.0001 Round 5.6415 to two decimal places. 5.64 What is 46.4 rounded to the nearest ten? 50 What is -0.00001443 rounded to five decimal places? -0.00001 Round 0.0809 to 3 decimal places. 0.081 What is 0.0016835 rounded to 4 dps? 0.0017 What is -0.0154 rounded to one dp? 0 What is -15.735 rounded to one dp? -15.7 Round 0.000001493 to 7 decimal places. 0.0000015 Round -545.6 to the nearest 10. -550 What is -593640 rounded to the nearest one thousand? -594000 What is -23 rounded to the nearest one hundred? 0 What is -126648 rounded to the nearest ten thousand? -130000 What is 0.000332 rounded to 3 decimal places? 0 What is -1052100 rounded to the nearest one hundred thousand? -1100000 What is 540 rounded to the nearest 1000? 1000 Round 0.000024476 to 7 decimal places. 0.0000245 What is -16.281 rounded to 1 dp? -16.3 What is -1.1819 rounded to one dp? -1.2 Round 679000 to the nearest 100000. 700000 Round -0.0000019334 to seven dps. -0.0000019 What is 0.50663 rounded to one decimal place? 0.5 What is 49960000 rounded to the nearest one million? 50000000 What is 0.0001687 rounded to four dps? 0.0002 Round 0.0032 to three dps. 0.003 Round 5.097 to the nearest integer. 5 Round 0.000075 to five dps. 0.00008 What is 0.040137 rounded to 2 dps? 0.04 What is 324.3 rounded to the nearest ten? 320 Round 10102.3 to the nearest one hundred. 10100 Round 2541210 to the nearest 10000. 2540000 Round 353.7 to the nearest one hundred. 400 What is 2277600 rounded to the nearest 10000? 2280000 Round 149100 to the nearest 1000. 149000 Round 189.9 to the nearest 10. 190 Round -0.423849 to 3 decimal places. -0.424 Round -72.46 to the nearest 10. -70 What is 0.044045 rounded to 2 decimal places? 0.04 What is 0.00044304 rounded to four decimal places? 0.0004 What is -0.00000078507 rounded to 7 decimal places? -0.0000008 What is -0.000662 rounded to 4 dps? -0.0007 What is -100.9 rounded to 0 dps? -101 What is 624860 rounded to the nearest 100000? 600000 Round -39410000 to the nearest 1000000. -39000000 Round 244 to the nearest one hundred. 200 What is 0.825 rounded to one decimal place? 0.8 What is -0.00001222 rounded to 6 dps? -0.000012 Round -0.00000527 to six decimal places. -0.000005 What is -0.0000007661 rounded to 7 decimal places? -0.0000008 What is -14.2 rounded to the nearest ten? -10 Round 1031800 to the nearest one million. 1000000 What is -157.27 rounded to the nearest 10? -160 Round 0.000859 to five decimal places. 0.00086 Round 1.77 to 1 dp. 1.8 What is -21950 rounded to the nearest 1000? -22000 Round 0.000568 to 4 decimal places. 0.0006 Round 0.9556 to 1 decimal place. 1 What is -0.1978 rounded to 2 decimal places? -0.2 Round -0.0032547 to four dps. -0.0033 What is -413400 rounded to the nearest one million? 0 What is 10125 rounded to the nearest 100? 10100 Round -809150 to the nearest 100000. -800000 Round 151.9 to the nearest 10. 150 Round 0.007156 to 3 dps. 0.007 Round -69 to the nearest ten. -70 What is 16.19 rounded to one dp? 16.2 Round -0.010841 to three dps. -0.011 Round -9.057 to 1 dp. -9.1 What is 0.00000062303 rounded to seven dps? 0.0000006 Round 1328900 to the nearest 10000. 1330000 Round -283.2 to the nearest 10. -280 What is 0.0097833 rounded to 3 decimal places? 0.01 What is 0.0058337 rounded to three decimal places? 0.006 What is 27.81 rounded to the nearest integer? 28 Round -0.0000097086 to six dps. -0.00001 Round -25238500 to the nearest one million. -25000000 Round 5627000 to the nearest 1000000. 6000000 Round 3730000 to the nearest one hundred thousand. 3700000 What is -0.0000064 rounded to 6 dps? -0.000006 What is -12066 rounded to the nearest 100? -12100 Round -176200 to the nearest 1000000. 0 What is 0.00000544 rounded to 7 decimal places? 0.0000054 What is 0.00032918 rounded to six dps? 0.000329 Round -0.0000868 to five decimal places. -0.00009 What is -0.0043207 rounded to three dps? -0.004 Round -3.243 to one decimal place. -3.2 What is -0.0000017713 rounded to 7 decimal places? -0.0000018 What is 5.9617 rounded to zero dps? 6 Round 55.097 to 1 decimal place. 55.1 What is 0.003186 rounded to 4 decimal places? 0.0032 What is -3700000 rounded to the nearest 1000000? -4000000 What is -37.55 rounded to the nearest 100? 0 Round -33.8 to 0 dps. -34 What is 17.329 rounded to one decimal place? 17.3 Round -641140 to the nearest one thousand. -641000 What is -0.193 rounded to 1 decimal place? -0.2 Round 0.002156 to four dps. 0.0022 What is 0.000006715 rounded to 7 dps? 0.0000067 What is -58525000 rounded to the nearest 1000000? -59000000 What is -0.00058633 rounded to 5 dps? -0.00059 Round -337.12 to the nearest integer. -337 What is 0.00002121 rounded to 7 dps? 0.0000212 Round 7.68 to zero decimal places. 8 Round 8721 to the nearest 100. 8700 Round 0.0705 to two dps. 0.07 What is -11780000 rounded to the nearest 1000000? -12000000 What is -33586.1 rounded to the nearest one thousand? -34000 What is 0.000003217 rounded to six decimal places? 0.000003 Round 1.1621 to two dps. 1.16 What is 989510 rounded to the nearest ten thousand? 990000 What is 0.5917 rounded to one dp? 0.6 Round 11308400 to the nearest 1000000. 11000000 Round 0.000001462 to seven decimal places. 0.0000015 Round -6009000 to the nearest one million. -6000000 Round -0.0000275 to five dps. -0.00003 Round 64399.9 to the nearest 100. 64400 Round 0.691 to 1 dp. 0.7 What is -32426 rounded to the nearest one hundred? -32400 Round -1.239 to two decimal places. -1.24 What is 4.5086 rounded to two dps? 4.51 What is 4798 rounded to the nearest one hundred? 4800 Round 1.753 to two decimal places. 1.75 What is 894520 rounded to the nearest one hundred thousand? 900000 What is 0.025451 rounded to 3 dps? 0.025 Round -0.0000186905 to 7 dps. -0.0000187 Round 0.0101191 to 3 decimal places. 0.01 What is -1093600 rounded to the nearest 10000? -1090000 What is 28863 rounded to the nearest 10000? 30000 What is 0.00234653 rounded to 5 dps? 0.00235 What is -0.0000198942 rounded to 7 decimal places? -0.0000199 What is 15.12 rounded to the nearest integer? 15 What is 0.0157 rounded to 3 dps? 0.016 Round 0.00241 to 4 dps. 0.0024 Round -0.00000677 to six dps. -0.000007 What is 316.06 rounded to the nearest 100? 300 Round -9850 to the nearest 10000. -10000 Round -102309000 to the nearest one million. -102000000 What is 2513.2 rounded to the nearest 100? 2500 What is -30.083 rounded to one decimal place? -30.1 Round 0.000004507 to 6 dps. 0.000005 Round 0.00001196 to seven decimal places. 0.000012 Round -941 to the nearest one hundred. -900 Round -0.0005786 to four decimal places. -0.0006 What is -14.025 rounded to one decimal place? -14 Round -0.722 to 1 dp. -0.7 Round -17050 to the nearest one thousand. -1
{ "pile_set_name": "DM Mathematics" }
ing 2 l? 3/190 Two letters picked without replacement from {y: 7, q: 7, t: 5}. What is prob of picking 1 q and 1 y? 49/171 Three letters picked without replacement from {y: 1, q: 4, l: 9}. What is prob of picking 2 q and 1 y? 3/182 Two letters picked without replacement from pppppppppppppgppppgp. What is prob of picking 1 g and 1 p? 18/95 Three letters picked without replacement from {f: 2, y: 3, m: 2, q: 1, p: 9}. Give prob of picking 2 p and 1 q. 9/170 Four letters picked without replacement from eexbk. Give prob of picking 2 e, 1 x, and 1 b. 1/5 What is prob of picking 2 o and 2 r when four letters picked without replacement from {o: 2, r: 16}? 2/51 Calculate prob of picking 1 p, 1 c, and 1 w when three letters picked without replacement from {c: 1, q: 1, p: 5, w: 2}. 5/42 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from obbbbbbbbxbmbzb. 1/105 Three letters picked without replacement from {i: 2, m: 6}. Give prob of picking 1 i and 2 m. 15/28 What is prob of picking 2 n and 2 e when four letters picked without replacement from {e: 8, n: 2}? 2/15 Calculate prob of picking 2 x, 1 n, and 1 d when four letters picked without replacement from {d: 1, u: 1, x: 2, n: 11}. 11/1365 Two letters picked without replacement from txxxxxqxqx. Give prob of picking 1 x and 1 q. 14/45 Two letters picked without replacement from jdoorjajnoaanojnj. Give prob of picking 2 n. 3/136 Four letters picked without replacement from kkkkkkrkkkkkkktgt. Give prob of picking 1 g, 2 t, and 1 r. 1/2380 Two letters picked without replacement from mmbmmmbbmmmmmmmmmmb. Give prob of picking 2 m. 35/57 Three letters picked without replacement from zppzpppzzzzz. What is prob of picking 3 p? 1/22 What is prob of picking 2 q when two letters picked without replacement from {f: 5, q: 8}? 14/39 Two letters picked without replacement from {t: 5, w: 6, g: 1, o: 6}. What is prob of picking 1 o and 1 w? 4/17 Two letters picked without replacement from zczvzucuuuzhzzu. What is prob of picking 1 z and 1 c? 4/35 Three letters picked without replacement from jjjjjljlljljjljjjjl. Give prob of picking 3 l. 20/969 Four letters picked without replacement from hqeco. Give prob of picking 1 q, 1 c, 1 h, and 1 o. 1/5 What is prob of picking 1 l and 1 y when two letters picked without replacement from {i: 2, y: 2, s: 1, l: 1, m: 2}? 1/14 What is prob of picking 1 d and 2 u when three letters picked without replacement from {d: 3, u: 5}? 15/28 Three letters picked without replacement from {l: 3, y: 4}. What is prob of picking 2 l and 1 y? 12/35 Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {s: 1, q: 7, c: 3, r: 1}. 7/66 Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {k: 12, f: 3, v: 2, n: 1, j: 1}. 44/323 Four letters picked without replacement from {f: 3, j: 3, h: 2, v: 2, q: 3}. Give prob of picking 1 j, 1 q, and 2 v. 9/715 Calculate prob of picking 1 o, 1 v, and 1 b when three letters picked without replacement from bbvo. 1/2 What is prob of picking 1 d and 1 u when two letters picked without replacement from {b: 1, u: 6, d: 4, t: 2}? 4/13 What is prob of picking 1 n and 3 y when four letters picked without replacement from yynynyy? 4/7 Four letters picked without replacement from xlrlxrrx. What is prob of picking 3 r and 1 l? 1/35 Two letters picked without replacement from {f: 7, y: 6}. Give prob of picking 2 f. 7/26 Two letters picked without replacement from nnennbeenieinbebien. Give prob of picking 1 n and 1 b. 7/57 Two letters picked without replacement from zzzzszzszszzzzzzzzs. What is prob of picking 1 z and 1 s? 20/57 Two letters picked without replacement from jttjnlattjjtvnj. What is prob of picking 1 v and 1 a? 1/105 Two letters picked without replacement from yotrryorrrroyyrroror. Give prob of picking 1 y and 1 t. 2/95 Two letters picked without replacement from mrmmjmmjmrmroomomg. What is prob of picking 1 g and 1 o? 1/51 Calculate prob of picking 1 s and 2 m when three letters picked without replacement from mmsmmmmmmsmmm. 5/13 Calculate prob of picking 3 x when three letters picked without replacement from {x: 5, f: 2, j: 7}. 5/182 Calculate prob of picking 1 t and 2 p when three letters picked without replacement from tpdttttstttdsxptxskt. 1/114 Calculate prob of picking 1 x and 2 n when three letters picked without replacement from xxvnxsxnsz. 1/30 Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 16, g: 2}. 32/153 What is prob of picking 2 w and 1 f when three letters picked without replacement from kfkfffkfkww? 1/33 Three letters picked without replacement from fcgcchgchccchcchc. What is prob of picking 1 f and 2 g? 1/680 Two letters picked without replacement from nnhnhnnnhnnnnh. What is prob of picking 2 n? 45/91 What is prob of picking 1 f and 1 q when two letters picked without replacement from qqf? 2/3 What is prob of picking 1 f and 1 b when two letters picked without replacement from iqrriqbqrqfb? 1/33 What is prob of picking 1 s and 1 k when two letters picked without replacement from kkdddiskhkskk? 2/13 What is prob of picking 3 r when three letters picked without replacement from rereeeeeeer? 1/165 Three letters picked without replacement from {g: 1, w: 6, n: 3, y: 2}. What is prob of picking 2 y and 1 g? 1/220 What is prob of picking 2 f when two letters picked without replacement from qtfqfqtttt? 1/45 Three letters picked without replacement from ffyfyyfyffx. Give prob of picking 2 y and 1 x. 2/55 What is prob of picking 2 g when two letters picked without replacement from {v: 3, u: 6, e: 3, f: 1, g: 3}? 1/40 Three letters picked without replacement from {r: 11, v: 3}. Give prob of picking 3 r. 165/364 Three letters picked without replacement from {b: 3, z: 3}. What is prob of picking 3 b? 1/20 Two letters picked without replacement from gaoyoasssogypsy. What is prob of picking 2 g? 1/105 Two letters picked without replacement from gqywqgqqwgqyqqq. Give prob of picking 2 y. 1/105 Four letters picked without replacement from {w: 4, n: 10}. What is prob of picking 2 w and 2 n? 270/1001 Calculate prob of picking 4 m when four letters picked without replacement from {g: 13, m: 6}. 5/1292 Calculate prob of picking 1 l and 1 z when two letters picked without replacement from aazaavavtvaaltwa. 1/120 What is prob of picking 1 f, 2 z, and 1 p when four letters picked without replacement from yyzzrrpyzyfrjzyyrffr? 6/1615 What is prob of picking 1 r and 1 q when two letters picked without replacement from rrqprrdkpdrr? 1/11 Three letters picked without replacement from rvfvrfvvvvfrr. What is prob of picking 2 v and 1 f? 45/286 Two letters picked without replacement from {b: 3, n: 3, g: 2, k: 3, l: 1, s: 2}. Give prob of picking 1 l and 1 n. 3/91 Calculate prob of picking 2 b, 1 l, and 1 x when four letters picked without replacement from bxxxbxxxlxxzl. 16/715 Three letters picked without replacement from rqqrrrqirqrrrrrqrr. Give prob of picking 3 r. 55/204 Calculate prob of picking 4 f when four letters picked without replacement from {h: 2, k: 5, f: 7, a: 1, n: 2, i: 3}. 7/969 Four letters picked without replacement from ugnlh. Give prob of picking 1 h, 1 l, 1 n, and 1 g. 1/5 Calculate prob of picking 2 z when two letters picked without replacement from {r: 7, z: 7}. 3/13 Two letters picked without replacement from {c: 4, k: 1, q: 1, b: 2}. What is prob of picking 2 c? 3/14 Two letters picked without replacement from xxxlozxl. Give prob of picking 1 l and 1 x. 2/7 Three letters picked without replacement from wvvvvvwvvvvwvvvvwvvv. Give prob of picking 2 v and 1 w. 8/19 What is prob of picking 1 p and 1 a when two letters picked without replacement from {g: 2, p: 2, x: 2, y: 9, a: 4, o: 1}? 4/95 Three letters picked without replacement from {m: 4, q: 1, e: 3, z: 2}. Give prob of picking 1 m and 2 z. 1/30 Three letters picked without replacement from {w: 10, s: 4, z: 3, b: 2}. Give prob of picking 1 s, 1 w, and 1 b. 80/969 Calculate prob of picking 1 r and 1 k when two letters picked without replacement from ckxbwrw. 1/21 Four letters picked without replacement from {f: 1, v: 7}. What is prob of picking 1 f and 3 v?
{ "pile_set_name": "DM Mathematics" }
se 4? -112022311100 -5746178 (base 9) to base 10 -3101318 Convert -106321041 (base 7) to base 14. -c1c558 Convert 49ba6 (base 15) to base 2. 111001011111110010 What is -100001011010001110111 (base 2) in base 5? -240013100 -2271076 (base 8) to base 3 -1011110012112 472265 (base 8) to base 15 32a4e Convert 40451643 (base 7) to base 15. 469ad3 128b1c (base 13) to base 8 1552603 Convert -74632163 (base 8) to base 14. -218c7ab Convert -222211000000222 (base 3) to base 14. -1c6d4a2 What is -9307a82 (base 11) in base 12? -5608763 -1221011021120 (base 3) to base 2 -11111010101001001100 What is 1b7216 (base 12) in base 5? 111124310 Convert 2c0db1 (base 16) to base 14. 552209 Convert 10001010011000100011 (base 2) to base 11. 357950 Convert 1783722 (base 10) to base 7. 21106233 What is -2687d (base 15) in base 13? -44239 -147433 (base 11) to base 4 -320001030 What is -18456a (base 11) in base 12? -118560 What is 1010000110010000 (base 2) in base 16? a190 What is 12300222130 (base 4) in base 2? 110110000101010011100 Convert 11412042 (base 6) to base 4. 1113300122 What is ddc47a (base 14) in base 16? 72d24c Convert 2132231 (base 5) to base 3. 1212011022 12220012200221 (base 3) to base 9 5805627 Convert 7665655 (base 8) to base 3. 10212121122222 What is 2112012020220 (base 3) in base 8? 5075503 What is 839664 (base 10) in base 8? 3147760 Convert -1309191 (base 10) to base 6. -44021023 Convert 1e2fa0 (base 16) to base 5. 1001301042 What is 11021032133 (base 4) in base 5? 321123021 What is -13224210 (base 5) in base 2? -100000011110111111 -123113224 (base 7) to base 16 -76cae3 What is 457577 (base 9) in base 13? 97c96 -21002022 (base 4) to base 6 -443150 What is -10111101011110011111001 (base 2) in base 11? -3560809 203331003 (base 4) to base 5 14203032 -208a6 (base 13) to base 14 -17506 What is -35905 (base 13) in base 10? -98194 What is -1000110111110011001 (base 2) in base 12? -1202a1 -2565526 (base 9) to base 3 -2122012120220 What is 21741432 (base 8) in base 6? 244445054 What is 137665 (base 8) in base 7? 263040 Convert 111011001010102 (base 3) to base 11. 3a43448 Convert -312212030 (base 4) to base 5. -24124003 Convert 73d1b (base 15) to base 6. 11513055 What is -a59d9c (base 15) in base 4? -132003322002 What is 527806 (base 9) in base 12? 131950 Convert 4e1dc7 (base 15) to base 9. 7048707 52a20 (base 13) to base 15 2e1ca What is -8b5a64 (base 12) in base 10? -2228908 483674 (base 10) to base 4 1312011122 Convert 298863 (base 12) to base 5. 134334324 Convert -2a48d (base 14) to base 15. -21271 What is -5112253 (base 7) in base 9? -1126351 Convert 1014788 (base 9) to base 8. 2041575 What is 16542276 (base 9) in base 14? 115cc53 Convert 11041043 (base 6) to base 3. 121212110000 What is -10010100010001101 (base 2) in base 5? -4412132 9153 (base 11) to base 10 12158 What is -863945 (base 13) in base 15? -42346e -35041223 (base 8) to base 9 -15302538 What is -2a541 (base 13) in base 7? -452131 201210222021 (base 3) to base 13 108688 Convert 1000010010010100110 (base 2) to base 4. 1002102212 Convert -55155 (base 10) to base 15. -11520 11001010100111111100 (base 2) to base 3 1120011110211 What is 14c9b2 (base 13) in base 6? 15001343 Convert -55345253 (base 8) to base 13. -2611a5a What is -11202011 (base 3) in base 9? -4664 -1aa1b4 (base 16) to base 12 -702044 Convert 133333023 (base 4) to base 14. 35a67 Convert -11011001010001011 (base 2) to base 13. -3b832 -11001000101101000 (base 2) to base 12 -4b574 -2c030b (base 16) to base 10 -2884363 What is 166305 (base 8) in base 15? 12e5d What is 22130300310 (base 4) in base 13? 74ba79 -198503 (base 10) to base 11 -126158 What is 20101102012 (base 3) in base 12? 608a2 Convert -1031033220 (base 4) to base 9. -532006 Convert -94597 (base 11) to base 4. -201221030 What is 5757536 (base 10) in base 4? 111331221200 Convert -40662750 (base 9) to base 2. -1001010011111011110110110 423486 (base 9) to base 2 111101100000000011 Convert 2f81 (base 16) to base 11. 9156 Convert -173132 (base 14) to base 3. -1112102020220 Convert -2410144 (base 9) to base 12. -52b794 What is -131410515 (base 6) in base 14? -4b9075 What is 1001111011110001011 (base 2) in base 12? 138463 110010111001000000111010 (base 2) to base 5 11403400410 Convert 5005362 (base 7) to base 10. 590151 105403214 (base 6) to base 15 28633a 111202144 (base 5) to base 13 1425b5 Convert 2202122011010 (base 3) to base 9. 2678133 What is 23011401 (base 8) in base 9? 10337856 -12143122 (base 5) to base 9 -185275 3510312 (base 6) to base 13 64082 529a7a (base 11) to base 16 cefc5 Convert -12111101020 (base 3) to base 10. -108168 -281ca (base 13) to base 7 -431520 Convert 1990417 (base 12) to base 2. 10100101001011101010011 Convert 855571 (base 10) to base 12. 353157 -416558 (base 9) to base 11 -15a021 -111100010011101110100 (base 2) to base 14 -39627a What is -541865 (base 10) in base 15? -aa845 What is -1100112 (base 4) in base 14? -1c34 What is 36c37 (base 13) in base 15? 1ed94 Convert 1a2559b (base 12) to base 5. 2403302010 Convert 10652552 (base 7) to base 3. 1202121210222 What is 2c844 (base 16) in base 9? 307110 -20155255 (base 6) to base 11 -363274 144214341 (base 5) to base 7 6366632 What is 21011121300 (base 4) in base 11? 1387221 4413617 (base 8) to base 14 22c155 Convert -2332115 (base 12) to base 15. -8e025e Convert 4111120 (base 5) to base 12. 32522 Convert 12141212 (base 5) to base 10. 115182 What is 1010001001100111011 (base 2) in base 9? 556218 1200221121212 (base 3) to base 13 258875 15a009c (base 15) to base 16 ef7849 Convert 4109 (base 10) to base 2. 1000000001101 Convert 3202061 (base 9) to base 6. 100422514 What is -3044936 (base 12) in base 10? -9049146 What is -22651326 (base 7) in base 13? -54b517 What is -101011111111100010001 (base 2) in base 15? -1d71d8 Convert 6c34b (base 15) to base 6. 11221112 What is 242212433 (base 5) in base 2? 100010100011011010011 174bb0 (base 12) to base 5 100340422 Convert -19372 (base 12) to base 5. -2134211 100003011 (base 4) to base 3 10100011120 What is -657d (base 15) in base 16? -53f5 -301112311131 (base 4) to base 2 -110001010110110101011101 Convert -3113303311 (base 5) to base 13. -142720b Convert -33130203 (base 4) to base 16. -f723 -2001022011122 (base 3) to base 6 -35155242 -26c24 (base 15) to base 5 -12433414 624b9 (base 12) to base 14 34c0d What is 114120022 (base 6) in base 15? 2c8ea8 What is 531b010 (base 12) in base 11? 896487a 2222121200202 (base 3) to base 11 994215 What is -16aa4 (base 14) in base 13? -1cc25 Convert -a8e62 (base 15) to base 16. -82fac Convert -1b3b92 (base 14) to base 4. -3231002210 Convert -182969 (base 10) to base 8. -545271 1000110010010011100 (base 2) to base 7 2306234 -12143212 (base 6) to base 7 -3201044 -13123001231 (base 4) to base 10 -1945709 What is -966310 (base 11) in base 12? -626595 1111101000000001000100 (base 2) to base 15 55d9b3 -172446 (base 8) to base 5 -4002013 What is 111320221212 (base 4) in base 9? 11713683 c87a21 (base 14) to base 7 111435541 Convert -22100200222 (base 3) to base 5. -20231122 Convert 1000110101011101 (base 2) to base 7. 210336 112103033101 (base 4) to base 15 7a7214 -1230420 (base 11) to base 15 -2c3797 Convert -1101111000010110 (base 2) to base 10. -56854 10067507 (base 8) to base 7 24032125 Convert 4215015 (base 6) to base 7. 1511252 -141a79 (base 14) to base 8 -2517753 What is 2317c26 (base 14) in base 13? 360b127 22112022111 (base 3) to base 15 34b34 What is -31811 (base 15) in base 4? -212112022 What is -453711 (base 8) in base 9? -253555 -10010111101011110001 (base 2) to base 8 -2275361 85660 (base 9) to base 5 3303143 Convert -123032342 (base 5) to base 9. -1107461 What is -703673 (base 8) in base 6? -4543031 -206a53 (base 11) to base 4 -1100321130 a81556 (base 11) to base 3 10020212121120 What is 16641026 (base 7) in base 5? 404441441 What is 40510133 (base 6) in base 16? 11b329 Convert -10101110001011010010 (base 2) to base 13. -1bc95c What is -41226062 (base 7) in base 2? -1101001010110110110011 231313321123 (base 4) to base 12 403b1b7 -968740 (base 16) to base 9 -20505237 6b980 (base 12) to base 6 3034240 Convert -3bc35 (base 15) to base 14. -4dc46 What is -597966 (base 10) in base 4? -2101333032 What is 782282 (base 9) in base 13
{ "pile_set_name": "DM Mathematics" }
(-1856)/(-87)*4/((-112)/21)? -16 Evaluate (6/(-54))/(12/72) - 20/(-66). -4/11 (((45/(-50))/1)/(-6))/(15/(-10)) -1/10 Evaluate (((-12)/10)/2)/(((-1539)/270)/57). 6 What is (21 + -4)/(10 + -7 + -4)? -17 What is the value of -9*(2 - 0 - 203/(-1827))? -19 Evaluate 54/10*234/(-702). -9/5 What is the value of (3542/(-2415))/(4/(-10))? 11/3 12/11 - (-11934)/858 15 What is 10 + 364/(-35) - (-4)/2? 8/5 What is the value of (28/10)/(17 - 1032/60)? -14 What is the value of (-9)/(-36) - ((-20)/(-12) + (-9)/54)? -5/4 What is the value of 3/12*((-70771)/(-506) + 15/110)? 35 Calculate (-80)/(-1960) - (-2483)/(-14014). -3/22 (490/84 - 7/(-6)) + 15 22 What is the value of ((-494)/39 + 11)/((-6)/54)? 15 What is ((-270)/2430)/((-14)/72)? 4/7 Calculate 143713/(-4196) - 2*-17. -1/4 Calculate (61/(183/(-18)))/(20/(-1)). 3/10 (-128)/120*5 + (3 - (-1 - 2)) 2/3 Calculate 6*13/26 + (-15)/(0 - 1). 18 What is the value of -89 + 93 + (1 - (14 - (-6 - -3)))? -12 What is (-16)/72*(-6)/(-4)*9/1? -3 What is -13 - (12 - (-30)/12*(3 - 5))? -20 What is (-177 + 170)*(214/70 + -3)? -2/5 ((-136)/703)/(-8) - (-74)/(-703) -3/37 Evaluate (-8 + 1)*(-15 + 23488/1568). 1/7 What is 2 + -1 + ((-91)/28 - 7) + 9? -1/4 Calculate 0 + 22 - (-270)/(-18). 7 What is the value of ((-24)/(1008/(-1155)) + -18)/((-1)/(-4))? 38 What is (3 + 2 + -13*13/(-169))/(-3)? -2 Calculate (-281547)/(-25830) + (-13)/(-5) + -1. 25/2 What is the value of (-10)/(-1260)*6*12/26? 2/91 Calculate -21*((-5076)/(-126) - 40). -6 What is the value of ((-120)/(-72))/((-15)/(-27)) + (-5 - 3)? -5 What is -261 + 250 - (0 + 1/2)*10? -16 What is the value of 4453/3796 + 5/65? 5/4 76/627*(-21)/(-28) 1/11 ((-318)/15 + 21)*1 -1/5 What is the value of (6/(-36))/((-56)/(-126)*-3)? 1/8 What is (-2)/18 + (40 - 3349/153)? 18 Evaluate (-132)/(-24) + 12/(-8). 4 Calculate (-36)/54 - (-7)/((-175)/(-10)). -4/15 What is (360/(-48) + 6)/(54/192)? -16/3 What is (210/144)/((-635)/508)? -7/6 Evaluate 2/(-9)*789/1052. -1/6 What is (-19)/((-4522)/(-2176)) - -9? -1/7 (-5 + (-221)/(-39))/(1 + (-21)/27) 3 Evaluate (4/(-14) + 19/42)/((-70)/315). -3/4 What is (2/(-12))/((-109)/1308)? 2 Evaluate -4 + 5 + ((-308)/(-20))/(-11). -2/5 What is 4/(-3)*6219/2764? -3 What is the value of ((-50)/30 + 1)/(110/54 - 2)? -18 Evaluate 39/(76167/775) + (-5)/45. 2/7 What is the value of (-20)/330 + (-466)/(-66) + 2? 9 1 + (-9)/36 - (-4 - (-33)/6) -3/4 What is the value of -88 - -76 - 1/1? -13 Evaluate (2149/(-64470))/(((-3)/9)/((-1)/(-1))). 1/10 Calculate (3262/(-210) - -15)*(-9)/(-12). -2/5 (472/1003)/(4/34) 4 What is the value of (-1022)/657*(40/28 - 0)? -20/9 Evaluate (5/1)/((-16)/(96/(-2))). 15 What is (-5*(-5)/(-75))/(4/(-120))? 10 What is the value of ((-36)/15)/(6/(-15))*3/(-2)? -9 Evaluate -31 + (20 - -34) - -2. 25 Calculate (-70)/90 - (-57)/76. -1/36 Calculate (-20)/56*(-66)/55 + (-206)/448. -1/32 (-18570)/(-4952) - (-90)/8 15 (-6)/16*(-65 + -19 + 28) 21 (25/(-40)*12/(-20))/((-21)/(-28)) 1/2 (9360/(-50))/(-26) - 1*7 1/5 What is the value of (-1 - 24/9)/((-40)/240 - 0)? 22 (-842)/2947*14/10 -2/5 Evaluate (-42 - 3906/(-98))/(2/(-14)). 15 What is (-6)/(-20)*340/(-1224)? -1/12 What is 12/(-35) - ((-256)/320)/(28/10)? -2/35 Evaluate (-2 - 20)/(20/(-210) - 88/(-42)). -11 (-4)/(-34) - 32/1122*2 2/33 Evaluate -13 + 476/42 - 5/(-6). -5/6 What is the value of (-40)/(-16)*3*96/(-45)? -16 Calculate 31/(-6) - (16 + -12) - (46 + -56). 5/6 (0 + 2)*((-300)/2200)/((-18)/(-4)) -2/33 Evaluate -8 + (-38070)/(-4554) + 2/(-23). 3/11 Calculate (-13*116/(-1885))/((-3)/5). -4/3 What is 5228 - 5221 - (-86)/9*(-6)/8? -1/6 ((-3)/27)/((-221)/(-1428) - (-2)/21) -4/9 What is (-21070)/(-840) - 25/1? 1/12 What is the value of -8 + 23 - 7 - 4? 4 What is the value of (-8)/(-46)*(-159896)/(-1264)? 22 What is the value of ((-20)/7 + 0/1)/((-14650)/(-51275))? -10 Evaluate (-70)/5 + (41 - 21). 6 What is the value of -7 + (-490)/(-28) + -12? -3/2 What is the value of 1748/(-8)*(-16)/152? 23 -7 - (3475/(-350) + 10 - (-506)/(-28)) 11 (-2)/(-3)*46/161*(-3)/2 -2/7 Evaluate ((-4284)/132)/17 + 2. 1/11 What is 0 - 9/12 - (-2 + 305/20)? -14 Evaluate ((-600)/3150)/(2/3). -2/7 What is the value of 16 - 63*(-5)/(-20)? 1/4 What is the value of (2064/(-80) - -27)*(-40)/6? -8 ((-72)/(-6))/(198/(-12) + 6) -8/7 Evaluate (6 + -2 - 2)*(-10)/(14 + -9). -4 Calculate ((-1518)/184)/((-30)/40). 11 What is the value of (-1872)/(-390) + -10*(-1)/(-2)? -1/5 Evaluate ((-108)/675)/((-16)/(-10) - 2). 2/5 What is -3 + (45/10 - (-135)/(-150))? 3/5 Evaluate (-8)/14*63/90. -2/5 What is the value of 6/(-4)*(4/32 + 2450/(-400))? 9 Calculate (-108)/(-810) + (-94)/30. -3 Evaluate -11 + 25/2 + (-178)/124. 2/31 0 - 0 - -7 - (4 - -4) -1 What is the value of ((-1)/9)/((-22)/396)? 2 24/(-8) - (28/(-7))/2 -1 Evaluate (-3417)/(-134) - (3 + 23). -1/2 Evaluate (-2)/(2/(3 + -8 + (-2 - 10))). 17 What is ((-13)/195*1)/((-26)/24 - -1)? 4/5 What is ((124/7)/2)/((-61)/(17080/(-80)))? 31 Calculate (13/(195/18) + (-756)/(-120))/(-6). -5/4 (-1)/(33/(-18)) + 2500/(-550) -4 Calculate (-8)/(((-72)/(-144))/((-1)/4)). 4 What is (8/475 + 260/(-3250))/(6/10)? -2/19 (-24)/(-7 + 15) - 38/2 -22 Calculate (-360)/448 + 5 + 384/(-84). -3/8 What is the value of (-10)/(-19 + 11 - -7)? 10 Calculate 56 - (2 + 1 + 20). 33 Calculate -54*(-11)/99 - -3. 9 Calculate (716/(-6802))/((-6)/1083). 19 What is the value of 66/(-330)*80/(-9)*12/16? 4/3 What is the value of -2 - (-146)/36 - (16 - 243/18)? -4/9 What is the value of 12/((2/(-7))/(2/7))? -12 What is the value of (-10)/4*2*(-828)/(-780) + 5? -4/13 (64/80 - 5)/((-6)/20) 14 Calculate (-485)/35 + (-12)/(-14). -13 What is the value of (-444)/(-15540)*(-1 - -64)? 9/5 What is (243/(-45))/(10692/(-1080))? 6/11 Calculate 16/(144/(-63))*(0 + (2 - 1)). -7 What is (12/72)/(((-20)/32)/(-5))? 4/3 What is the value of 1*(10 + -2 - 9)*-3 + -13? -10 117/(-897)*(-48)/(-36) -4/23 Evaluate ((-4)/(-100))/(612/1700). 1/9 Evaluate (-6)/((-420)/847) + (-14)/140. 12 What is (-12)/(-26) - (-20049)/1599? 13 504/(-1134) - ((-188)/180)/1 3/5 Calculate (-80)/14 + (-40)/(-56). -5 What is the value of 9/(-108)*-69 + (-6)/1? -1/4 Evaluate ((-1426)/(-3))/(-23) + (-56)/(-21). -18 What is 14 + 9 + 90/(-9)? 13 What is (-2)/28*(-4 - -8)? -2/7 Evaluate (-1448)/(-905) + 696/(-160). -11/4 What is the value of (-1)/((0 - 2) + 3) - 25/10? -7/2 Evaluate (560/(-12))/7*(-24)/(-140). -8/7 Evaluate (36/72)/((-5)/(-10) + 6/(-8)). -2 Calculate (-11)/10 + ((-8)/(-26) - 5454/26260). -1 2/(-21) + (-26320)/(-82908) 2/9 Evaluate (-425)/500*-32 - 26. 6/5 Calculate ((-2709)/84 - -32)*(-8)/(-2). -1 What is the value of (-40)/(-16) - (-7467)/(-3406)? 4/13 Evaluate ((-56)/(-16) + -4)*-22. 11 Calculate (-2)/4*((-29)/290)/(7/(-14)). -1/10 Calculate (450/110 - 4)/(((-16)/22)/(-4)). 1/2 Evaluate 3007/4074 + ((-2)/24)/(3/6). 4/7 What is the value of ((-468)/306)/(-2) + -1? -4/17 What is ((-20)/(-9) - (-8)/(-36))/((-230)/(-69))? 3/5 2465/(-2175) + (-4)/5 - (1 + -3) 1/15 Evaluate 55/8 + (-2 - 5). -1/8 -2*8*9/144 -1 Calculate (-6)/(-8) + 0 - 2948/1072. -2 Evaluate -1 - ((-7)/2 - 220/8). 30 Calculate (-17)/(-5 + 20/(-30) + 40/6). -17 Calculate ((-3)/(-4) + (-69)/(-4))*9/18. 9 Evaluate (0/7)/(10/5 + -4). 0 What is ((-40)/105)/(-1)*57/(-76)? -2/7 Evaluate (-6)/9*(-280)/112. 5/3 What is -9 + (33 + 12/(-4))*30/(-60)? -24 Evaluate 228/11856 - 1458/104. -14 Calculate (-2*6/8)/((-553)/84*-9). -2/79 Evaluate 13 - (98 - 0)/14. 6 Evaluate (9/(-20))/(-23 + (-3740)/(-160)). -6/5 Calculate (-35)/((-2450)/(-56)) - 4/10. -6/5 -13 + 18 - 0 - -3*(-1 - -2) 8 What is the value of 15470/(-68068)*(6/5 + -1)? -1/22 (-17)/(-12 - (12 + -23)) 17 What is ((-53)/(-110))/(-53) + 1/10? 1/11 Evaluate -17*((2 - -10) + (-60 - -40) - -6). 34 0 + (-18)/(-33) + (-2300)/8250 4/15 Evaluate -3*((-69)/(-21) + -3) - 2160/(-168). 12 6786/429 - (-2)/11 16 What is 2/((-120)/(-535)) - (-2 - -56)/6? -1/12 60/(-48)*(-528)/44 15 What is the value of (-9)/(-6) + (12 - 429/26)? -3 Calculate (-8)/(-2) - (1665/28)/15. 1/28 What is ((28/(-490))/((-6)/180))/(25/(-35))? -12/5 Evaluate 10*(-21)/(-28) + -7 + -3. -5/2 7/2*((-60)/(-54) - 128/(-144)) 7 (-99)/(-55)*(103/15 - (-92)/(-460)) 12 Calculate (-834)/156 + 4/(-26)*(-10 - -11). -11/2 (-5040)/(-720)*2/10*10/4 7/2 (-1)/2*(-3088)/(-193) -8 4/(-56)*7 + 5/((-40)/(-12)) 1 What is (-6)/15 + 1 +
{ "pile_set_name": "DM Mathematics" }
ur letters picked without replacement from jjjjpjpjjpjjjjjpjpjj. What is prob of sequence jppj? 35/969 Calculate prob of sequence mmd when three letters picked without replacement from dmnmdmdnimmi. 1/22 What is prob of sequence pn when two letters picked without replacement from {w: 1, n: 1, i: 1, p: 1, y: 1}? 1/20 Calculate prob of sequence dfn when three letters picked without replacement from htdddtnfyht. 1/330 Two letters picked without replacement from uaauuaaaauuaaaaauau. Give prob of sequence au. 14/57 Calculate prob of sequence obb when three letters picked without replacement from {z: 2, b: 3, q: 2, p: 1, o: 3, d: 1}. 3/220 Two letters picked without replacement from {u: 2, n: 1, v: 11, j: 1, y: 4}. Give prob of sequence yy. 2/57 Three letters picked without replacement from {o: 5, k: 5, q: 1, e: 5}. Give prob of sequence koq. 5/672 What is prob of sequence zzc when three letters picked without replacement from cczczcczzzccccccczz? 28/323 What is prob of sequence gsgs when four letters picked without replacement from ssssssgssssssssssg? 1/153 Two letters picked without replacement from {i: 2, r: 2, o: 2}. What is prob of sequence or? 2/15 Two letters picked without replacement from {c: 2, i: 1, r: 2, g: 1, h: 2}. What is prob of sequence ir? 1/28 Calculate prob of sequence al when two letters picked without replacement from {l: 3, o: 2, h: 3, q: 1, i: 8, a: 1}. 1/102 Three letters picked without replacement from {z: 3, n: 2}. Give prob of sequence znz. 1/5 Three letters picked without replacement from pviin. What is prob of sequence iiv? 1/30 What is prob of sequence id when two letters picked without replacement from {d: 1, i: 3}? 1/4 What is prob of sequence yr when two letters picked without replacement from iryiriyyyii? 4/55 Calculate prob of sequence obb when three letters picked without replacement from {r: 1, g: 4, x: 1, e: 1, o: 4, b: 9}. 4/95 Four letters picked without replacement from guuugugugouggugguuo. Give prob of sequence uuou. 7/646 Calculate prob of sequence axa when three letters picked without replacement from axvwa. 1/30 Calculate prob of sequence sz when two letters picked without replacement from wszzssusuywuzya. 2/35 What is prob of sequence yao when three letters picked without replacement from aoyooyo? 4/105 What is prob of sequence vggg when four letters picked without replacement from gggv? 1/4 Calculate prob of sequence jpqd when four letters picked without replacement from rprrqdrdjdrrqdrq. 1/3640 Calculate prob of sequence ppee when four letters picked without replacement from {e: 3, p: 4}. 3/35 Two letters picked without replacement from mmzmmmzmmmm. What is prob of sequence mz? 9/55 Two letters picked without replacement from rhenmhhrrgg. What is prob of sequence ge? 1/55 Calculate prob of sequence go when two letters picked without replacement from sgoihosghshsgos. 3/70 Calculate prob of sequence dp when two letters picked without replacement from lppddldldpppdpdpdp. 28/153 Calculate prob of sequence upe when three letters picked without replacement from {b: 1, e: 1, p: 2, t: 1, d: 1, u: 2}. 1/84 What is prob of sequence cvxx when four letters picked without replacement from {c: 2, v: 1, x: 3, t: 4}? 1/420 Two letters picked without replacement from qqjqzqjw. Give prob of sequence wz. 1/56 Calculate prob of sequence qy when two letters picked without replacement from qpyppppppdppq. 1/78 Two letters picked without replacement from ppvvpvptpv. Give prob of sequence pt. 1/18 Two letters picked without replacement from vmtvmmmvtwttam. Give prob of sequence ta. 2/91 Calculate prob of sequence yee when three letters picked without replacement from bbyweebesbbbybebwyae. 1/114 What is prob of sequence vtt when three letters picked without replacement from oyttyvtnywovo? 1/143 Calculate prob of sequence njkn when four letters picked without replacement from kjkjjjnkn. 1/126 Two letters picked without replacement from {i: 1, u: 3, r: 7, e: 3}. Give prob of sequence ui. 3/182 What is prob of sequence ddod when four letters picked without replacement from {o: 1, s: 10, d: 9}? 7/1615 Three letters picked without replacement from {v: 2, m: 4, a: 4, u: 4, b: 1, d: 5}. Give prob of sequence mbv. 1/855 Two letters picked without replacement from {j: 1, d: 7}. What is prob of sequence jd? 1/8 Four letters picked without replacement from {r: 1, z: 3}. Give prob of sequence zzzr. 1/4 Four letters picked without replacement from qxhkeqketke. What is prob of sequence exqk? 1/440 Four letters picked without replacement from {k: 1, j: 1, c: 1, s: 3, v: 5}. Give prob of sequence scjk. 1/2640 What is prob of sequence nmm when three letters picked without replacement from {m: 7, b: 4, i: 3, t: 2, u: 1, n: 1}? 7/816 Calculate prob of sequence lvev when four letters picked without replacement from alyev. 0 Calculate prob of sequence df when two letters picked without replacement from {q: 1, d: 1, f: 3}. 3/20 Calculate prob of sequence clll when four letters picked without replacement from lccldcclc. 5/504 Four letters picked without replacement from lltltlllllll. Give prob of sequence llll. 14/33 Four letters picked without replacement from {q: 4, c: 11, v: 3}. What is prob of sequence vccc? 11/272 Calculate prob of sequence ixx when three letters picked without replacement from xiixxxzxixi. 4/33 What is prob of sequence yw when two letters picked without replacement from illwlttwrytll? 1/78 Calculate prob of sequence tsss when four letters picked without replacement from {t: 8, s: 5}. 4/143 Calculate prob of sequence pqqq when four letters picked without replacement from pupppqqqqq. 1/21 What is prob of sequence ksps when four letters picked without replacement from {s: 3, k: 7, p: 6, h: 1}? 3/680 What is prob of sequence pyg when three letters picked without replacement from {g: 2, v: 4, p: 2, y: 1, h: 2, l: 6}? 1/1020 Four letters picked without replacement from nnnpa. What is prob of sequence nnpa? 1/20 Calculate prob of sequence ttju when four letters picked without replacement from jtjjjtu. 1/105 Three letters picked without replacement from {s: 4, u: 7, r: 4, o: 2, i: 1, b: 1}. What is prob of sequence rrb? 2/969 Calculate prob of sequence afd when three letters picked without replacement from {f: 2, d: 1, x: 4, a: 1}. 1/168 Two letters picked without replacement from {t: 9, x: 1, h: 10}. What is prob of sequence th? 9/38 Calculate prob of sequence ozoa when four letters picked without replacement from azaozaoz. 3/280 Two letters picked without replacement from ppppppppp. Give prob of sequence pp. 1 Three letters picked without replacement from {e: 12, g: 2, j: 3}. What is prob of sequence egg? 1/170 What is prob of sequence yv when two letters picked without replacement from {d: 9, v: 2, g: 4, y: 4}? 4/171 Three letters picked without replacement from {z: 2, v: 1, t: 2, n: 1, f: 3, e: 8}. Give prob of sequence tnv. 1/2040 What is prob of sequence oonn when four letters picked without replacement from owohnohwopnwonow? 3/728 Four letters picked without replacement from {q: 2, c: 1, o: 4, w: 1, n: 2, a: 2}. What is prob of sequence naqa? 1/1485 What is prob of sequence bmv when three letters picked without replacement from ssvmbmnzb? 1/126 Three letters picked without replacement from xxxxkxxxk. Give prob of sequence kxx. 1/6 Three letters picked without replacement from {b: 13, a: 3}. Give prob of sequence aba. 13/560 What is prob of sequence fwf when three letters picked without replacement from qzffwrf? 1/35 Four letters picked without replacement from kokoynkkyookk. Give prob of sequence oyoo. 2/715 Four letters picked without replacement from mmmmmmmmm. What is prob of sequence mmmm? 1 Four letters picked without replacement from ftfwmyfmtpt. Give prob of sequence ytfm. 1/440 Calculate prob of sequence gdgv when four letters picked without replacement from {v: 5, b: 2, d: 2, g: 4}. 1/143 Three letters picked without replacement from {u: 7, h: 4, x: 4}. What is prob of sequence xux? 2/65 Three letters picked without replacement from {o: 4, a: 2}. What is prob of sequence aoo? 1/5 Four letters picked without replacement from {l: 2, q: 8}. Give prob of sequence qqlq. 2/15 Two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
168 Multiply 0.2238586 and 0.04. 0.008954344 Multiply -50603 and -104.6. 5293073.8 What is -34799 times -904? 31458296 Work out 1.9 * -1276492. -2425334.8 Multiply 26364 and -57.54. -1516984.56 What is -156725.54 times 0.5? -78362.77 Multiply 4692.6 and 254.4. 1193797.44 Calculate -0.1*-11386181. 1138618.1 What is -8864 times -0.7266? 6440.5824 Work out -41692 * -0.418. 17427.256 -4 * -4909657 19638628 30.99*-0.0464 -1.437936 Product of -0.1 and 11149755. -1114975.5 Product of 185 and 19795. 3662075 Multiply 3 and 227264730. 681794190 What is the product of 0.7831166 and 0.9? 0.70480494 14 * 416.865 5836.11 Product of 0.12066598 and -0.4. -0.048266392 105 times 1778812 186775260 Product of 244 and 21955.76. 5357205.44 Calculate 350*-1.6354. -572.39 Product of 1 and 23.58187. 23.58187 -4347 * 412.92 -1794963.24 -269078353 times -5 1345391765 Calculate 12.0315*43. 517.3545 -3.47 times 4380 -15198.6 What is the product of -2812 and 136.073? -382637.276 Calculate 8636088*0.03. 259082.64 -61357 * -67 4110919 Multiply -10550.7 and 295. -3112456.5 1*-73385.914 -73385.914 Product of -0.1 and 24799.484. -2479.9484 What is the product of -0.1 and -1828437.6? 182843.76 What is -9 times 22223.8? -200014.2 Calculate 1928.0854*0.2. 385.61708 Multiply 0.3 and 19316502. 5794950.6 What is the product of 0.0136 and 8.41? 0.114376 Work out 7.59 * -169529. -1286725.11 Work out -0.225 * 170863. -38444.175 -4945 * 145144 -717737080 What is the product of 39 and -94891? -3700749 9673383 * 8 77387064 -0.5*74259513 -37129756.5 Work out -0.6 * -35164719. 21098831.4 46151.99*-138 -6368974.62 Work out -4 * -52.886613. 211.546452 Calculate 13*0.077952. 1.013376 What is 26 times -719.6132? -18709.9432 Multiply -0.0166598 and 73. -1.2161654 Calculate -14228175*0.1. -1422817.5 -0.11 times -44641 4910.51 Multiply -2 and 41285376. -82570752 Product of 22 and -655764. -14426808 Product of 0.122 and -21420.5. -2613.301 590882 times 1.6 945411.2 What is -1 times 113524? -113524 What is -265.5 times 0.1684? -44.7102 Work out -0.2534955 * 1.6. -0.4055928 Calculate 143*2.339992. 334.618856 Product of -0.2 and -7246292. 1449258.4 5*43344.912 216724.56 Calculate -0.215*0.110269. -0.023707835 Calculate -131840*2.8. -369152 Calculate 18070310.9*3. 54210932.7 -1225.7522*-16 19612.0352 Product of -0.030526 and 149.6. -4.5666896 36011.36*-0.2 -7202.272 Multiply 128049 and -0.4805. -61527.5445 Work out 7812567 * 29. 226564443 Multiply -11730.82 and 0.84. -9853.8888 0.01 * -2.5421 -0.025421 Calculate -1196.6*402.1. -481152.86 What is -201 times 34.971? -7029.171 877 * 2215 1942555 -457322 * 1618 -739946996 Calculate -345585*-28. 9676380 26.4 times 51083 1348591.2 Calculate -256743*36. -9242748 Calculate 1499.8*-14494. -21738101.2 What is 31180250 times -12? -374163000 Product of -0.07122 and 199.2. -14.187024 21531 * -240 -5167440 7.6 * -1419132 -10785403.2 What is -575387 times 458? -263527246 What is -3 times -309.3? 927.9 Work out -53 * -27612. 1463436 Product of -0.1 and -5851452. 585145.2 31.17509*-0.6 -18.705054 Calculate 244.15*106. 25879.9 134236 * -393 -52754748 0.03104941 * 0.8 0.024839528 Multiply -1849388.7 and 2. -3698777.4 What is 1.5369118 times -0.4? -0.61476472 Product of 22849239 and 0.2. 4569847.8 Work out 291.8 * -0.0557. -16.25326 What is 5 times 701.06243? 3505.31215 Calculate -67.901*1. -67.901 9119 times -102792 -937360248 Work out 243.555 * -143. -34828.365 Product of -12705652 and 2. -25411304 1578 times 1.263 1993.014 Calculate -0.078*167457. -13061.646 What is the product of -9097397 and -3? 27292191 Multiply 1 and 1036506. 1036506 -433 * 61251 -26521683 0.645*-16819 -10848.255 Calculate 172416*18. 3103488 Calculate 0.1*5328455. 532845.5 0.4 times -0.4802437 -0.19209748 What is the product of 1.8 and -28037.6? -50467.68 701833 * 14 9825662 4175938 * 0.19 793428.22 Product of 1500.49422 and -0.2. -300.098844 -0.3 * -77.1877 23.15631 Calculate 2*23056343. 46112686 5074777*-0.08 -405982.16 What is the product of -44 and -6427? 282788 -162 * -0.23893 38.70666 0.2 times 22795.279 4559.0558 Multiply -1654763 and 23. -38059549 Product of -1618.575 and -4. 6474.3 Multiply -186 and -4.8. 892.8 -414683*554 -229734382 Multiply -36.2 and 78270. -2833374 -91344 times 5305 -484579920 Product of -3479.323 and -0.7. 2435.5261 0.5825233 * 0.1 0.05825233 Multiply 4 and 4616078. 18464312 -8.1 * 2.0976199 -16.99072119 What is the product of 2.629373 and 12? 31.552476 Multiply 35 and -2.7163. -95.0705 Calculate 207071701*0.2. 41414340.2 Multiply 4843642 and 0.1. 484364.2 What is the product of -264824032 and 0.1? -26482403.2 Calculate -217.595347*-2. 435.190694 What is 1.5 times 0.11725? 0.175875 Calculate -1315127*530. -697017310 Multiply 0.1 and -34541259. -3454125.9 Product of -274.46654 and -0.06. 16.4679924 What is the product of -2.439 and 0.49566? -1.20891474 -0.01 * -15315113 153151.13 What is the product of 253038447 and -2? -506076894 257355 times 0.071 18272.205 Multiply -4465 and 15.206. -67894.79 Work out 8.72197 * 9. 78.49773 Calculate -7368*-39804. 293275872 Work out -2.152867 * -0.5. 1.0764335 What is the product of 0 and -770824? 0 What is the product of 2253273 and -1.5? -3379909.5 Product of -1155576 and -0.2. 231115.2 Product of -84211 and 6. -505266 What is -0.32 times -0.0072956? 0.002334592 Calculate 902067*24. 21649608 123*-49241 -6056643 -333973*-0.6 200383.8 Work out 395.81 * 259. 102514.79 -8331267*0.4 -3332506.8 -2*-797991 1595982 Work out 239055 * 264. 63110520 Multiply -0.493204 and 0.4. -0.1972816 What is 371.1408 times 3? 1113.4224 Multiply -0.1 and 1.4975589. -0.14975589 Work out -37.189 * 2602. -96765.778 32407713 times -5 -162038565 Product of 0.0568 and 0.0300712. 0.00170804416 182*8907.8 1621219.6 Product of -6 and 3220098. -19320588 What is the product of 9604.18 and 0.1? 960.418 What is 4.4 times 6838.345? 30088.718 4.4 * 1784.414 7851.4216 -1.263639 times 9 -11.372751 -5*405.94487 -2029.72435 0.072 times 102484 7378.848 Product of 2 and 22806892. 45613784 15001645 * -21 -315034545 What is -0.2 times -2372669? 474533.8 Work out -3126008 * 0.4. -1250403.2 What is the product of 7 and -2269? -15883 What is the product of 0.14469 and -83.4? -12.067146 10981*8258 90681098 -0.44444 times 8.1 -3.599964 -862.5*-185718 160181775 Multiply 670.09 and -821. -550143.89 What is -6.8 times 3315.58? -22545.944 -719666*1.2 -863599.2 What is the product of 28 and -977.5875? -27372.45 Calculate 0.5*-3665.916. -1832.958 Work out 2520851 * 5. 12604255 What is the product of -5579676 and -3? 16739028 Multiply 7021929 and -48. -337052592 Calculate 0.232*-123176.2. -28576.8784 Product of -0.48 and -34651.77. 16632.8496 What is the product of -81.392 and -0.038? 3.092896 Multiply 0.291 and -303607. -88349.637 What is 0.36 times -1375.2593? -495.093348 Product of -0.1 and -116213.26. 11621.326 Multiply 18 and -1268548. -22833864 Multiply 376 and 611585. 229955960 Multiply -1461238 and 0.2. -292247.6 366253*-102.8 -37650808.4 Multiply -803963 and 4. -3215852 -1.7 times -17572 29872.4 Multiply -0.66 and -418394. 276140.04 Calculate -4*5505.772. -22023.088 What is the product of 0.07 and 710350? 49724.5 What is the product of 5017 and 35.13? 176247.21 Work out 0.3 * 8.6817002. 2.60451006 Multiply -335405 and -35. 11739175 What is -113 times 0.130317? -14.725821 Multiply -305 and -0.009574. 2.92007 122150017 * 0.04 4886000.68 Multiply 18530 and 3.298. 61111.94 5928.4 times -10482 -62141488.8 Multiply -2 and 39.513735. -79.02747 What is the product of 0.08489 and -1899? -161.20611 What is the product of 11325030 and 1? 11325030 Calculate -73.9858*-0.5. 36.9929 0.2637921*0.08 0.021103368 35.178*0.003 0.105534 Product of -4741294 and -1. 4741294 0.068945 times -0.3197 -0.0220417165 -17687.4078*-0.07 1238.118546 Work out 78 * -0.05167389. -4.03056342 Calculate 87.8733*-30. -2636.199 Multiply -0.033 and -0.1146063. 0.0037820079 Product of 0.4 and 230254967. 92101986.8 -1048 times -0.02619 27.44712 Work out 0.1 * 0.071442457. 0.0071442457 What is the product of -0.0254207023 and 5? -0.1271035115 -0.7 times -310351.48 217246.036 Product of 106 and 40.92. 4337.52 1*-3056861 -3056861 Calculate -1189*53195. -63248855 -2.1*-1261.2723 2648.67183 What is -4 times -14551691? 58206764
{ "pile_set_name": "DM Mathematics" }
Subtract 17143746 from 0.4. -17143745.6 What is 201726 - 255266? -53540 What is -0.0107753 less than -10.3? -10.2892247 What is the difference between 8 and -1482066? 1482074 What is the distance between 1117 and 848735? 847618 What is -61340.11 minus -0.314? -61339.796 What is 0.245 less than -201351? -201351.245 What is 0.05279119 - 0.7? -0.64720881 What is 8683 + -10? 8673 What is the difference between 4450846 and 0.11? 4450845.89 What is 10.748 + -372664.2? -372653.452 Add 0.1 and -77644268. -77644267.9 Subtract -29 from -618455. -618426 Put together 6710027 and 1. 6710028 What is -149 - -0.029792276? -148.970207724 Calculate -32822652 - -0.5. -32822651.5 What is 320071 - -2463? 322534 What is -27525983 + -2510? -27528493 Calculate -0.45017788 - 0.0376. -0.48777788 Add 1700663 and 4.15. 1700667.15 Add 762773 and 782. 763555 Subtract 454 from 0.34357. -453.65643 Total of -4784 and 11206.01. 6422.01 What is the distance between 39659 and 66.37? 39592.63 Add -543868.0243 and -0.02. -543868.0443 Work out 278 + 485862. 486140 Put together -558273703 and 278. -558273425 4029+12554.5 16583.5 What is -924589757 plus 0.4? -924589756.6 Sum -9 and -0.0748034. -9.0748034 -4185263 - 10 -4185273 Work out -728685394 + 0.16. -728685393.84 What is 0.07 plus -6366714? -6366713.93 What is -1488507854 take away -26? -1488507828 Add -27.33 and 13877. 13849.67 -5621494 - -12 -5621482 9.106 - -4.051 13.157 Calculate 0.2 + 11956942273. 11956942273.2 What is 0.4 less than 0.2280950359? -0.1719049641 What is 0.50551886 less than 5? 4.49448114 What is 0.379 plus 9409258? 9409258.379 What is -0.22 + 1.419947? 1.199947 Calculate 7.151 + 0.1672. 7.3182 Put together -141578326 and -47. -141578373 What is the distance between 197245164 and 0.4? 197245163.6 What is 0.3 minus -365643470? 365643470.3 Calculate 0.3 - 898955164. -898955163.7 What is the difference between 549929.3965 and -0.1? 549929.4965 Add -10.028206 and -545. -555.028206 What is the difference between -0.4 and 0.06320536951? 0.46320536951 Add together -0.5 and -0.00143063. -0.50143063 What is -179.9 take away -4041.06? 3861.16 Put together 2111 and 7822.2. 9933.2 2747121 - 731 2746390 Add 0.1 and 1.460766596. 1.560766596 What is 2.025 take away 357122? -357119.975 What is 0.3 - 15.15809399? -14.85809399 What is -109.03 + -11.41904? -120.44904 Sum -23.878543 and -5. -28.878543 Calculate -1361621.2617 + -0.5. -1361621.7617 -0.03 - 5922548 -5922548.03 What is the distance between -8849 and -3.78836? 8845.21164 What is 0.1 + -227171? -227170.9 What is the difference between -0.2 and 3508427? 3508427.2 -19 + -14170187 -14170206 What is -3.9220271 take away -0.29? -3.6320271 Work out -15 - 5743414. -5743429 What is the difference between -0.13 and 7337.068? 7337.198 Calculate 7455.3715 - 4. 7451.3715 Put together -0.5 and -259348284. -259348284.5 What is 2578.894226 + 0? 2578.894226 4.77106 + -72.83 -68.05894 -5 + -1587.4849 -1592.4849 Subtract -0.087945 from 3311. 3311.087945 What is the difference between -30564.9 and -180? 30384.9 What is -79875 minus 1961? -81836 Sum 10875928 and -2. 10875926 What is -0.04 less than -50.0203209? -49.9803209 Work out 0.791 - 0.14109. 0.64991 Work out -66543006 - 0.14. -66543006.14 Put together -3654 and 2429. -1225 Work out -698 - -16168.5. 15470.5 Sum 9 and -101003619. -101003610 Calculate 20559 - 294. 20265 Sum -68144 and -1377. -69521 Put together -0.2945901 and -4. -4.2945901 -27718+712 -27006 What is 816 less than -520.39? -1336.39 Total of -34 and -5.853. -39.853 What is -552314 plus 0.09097? -552313.90903 What is the distance between 0.563 and -1869.722? 1870.285 Work out 419.8 - -4041941. 4042360.8 Total of 1.36129 and 2.5283. 3.88959 Work out -0.0267146 + -0.84. -0.8667146 -2000.499045 + -9 -2009.499045 0.575 + 29795233 29795233.575 What is 230.4 less than -23.6924? -254.0924 What is 178.25 plus 20120? 20298.25 What is 53935739 less than -0.27? -53935739.27 What is 17810 plus 873.743? 18683.743 0.0228343 + -30723 -30722.9771657 Subtract -0.96282996 from 0.017. 0.97982996 Work out 1.3 - 8534.41. -8533.11 What is -51491041 take away -1? -51491040 Work out -1377 - 122.719. -1499.719 What is 4393178 less than -186? -4393364 Calculate 0.023 + 1911871.9. 1911871.923 Calculate 21299929457 + -5. 21299929452 What is -0.2 less than -40937726? -40937725.8 Sum 6060918 and 0.071. 6060918.071 Sum 0.4 and 8099673.4. 8099673.8 Add 0.01 and -48.8491422. -48.8391422 What is the difference between 26 and 8.45187? 17.54813 What is 46960 less than -57788? -104748 Subtract 2327140 from -108.38. -2327248.38 Total of -1 and 120664.74. 120663.74 What is the difference between 1725 and 1134113? 1132388 Add -5 and 2657.9024. 2652.9024 What is 34209 plus 118868? 153077 What is 909 take away 30000299? -29999390 Calculate -65966533 + 3. -65966530 What is the distance between -0.1 and -0.030219002? 0.069780998 What is -1 minus 71808232? -71808233 What is 0.108143357 + -204? -203.891856643 Work out -0.0345 - 0.30724. -0.34174 Calculate 1521825 - 4.688. 1521820.312 -26.42679395 - 3 -29.42679395 -614271506+-5.5 -614271511.5 What is 9 + -327.2982199? -318.2982199 What is -0.3 + -0.08154729? -0.38154729 Put together 524 and 6.18194. 530.18194 Calculate -2518394449 - 6. -2518394455 Calculate 1 - -0.1111031168. 1.1111031168 Put together -507374 and -119261. -626635 Total of 1384247120.95 and -1. 1384247119.95 -431+-0.1616 -431.1616 What is 8537.49342 + -0.2? 8537.29342 What is the difference between 0.0331584429 and 2.5? 2.4668415571 What is 0.5 - -74093806? 74093806.5 59636696 + -1.82 59636694.18 Subtract 752.6 from -0.363. -752.963 What is -607389 minus 20110? -627499 Work out -0.2 - 735056. -735056.2 What is -12 less than -5.760263? 6.239737 What is 0.06291431 plus -2? -1.93708569 Calculate 46 - 18552226. -18552180 Work out -0.5 - 4626.691. -4627.191 What is the difference between -267624129.4 and 1? 267624130.4 Sum 586113480 and 81. 586113561 What is -217783973 plus -237? -217784210 Total of 1437395951 and -2.9. 1437395948.1 Add together 12.6 and 553289. 553301.6 -19 + 40835.889 40816.889 What is -725 - 1371.9? -2096.9 Calculate 374098 + -7. 374091 What is -16759.4 minus 1.101? -16760.501 -17.3345 + -0.1234 -17.4579 Calculate 56513443.2 - 0. 56513443.2 What is -0.52 + 27110205? 27110204.48 Total of 0.0666 and 31.274. 31.3406 What is 1 less than -140863877? -140863878 Calculate -17.2621 - 0.0999. -17.362 What is -6149.85 - 921? -7070.85 Put together 8.537 and -2.6362. 5.9008 Put together 198 and 44125253. 44125451 0.75 + 448063 448063.75 What is the difference between 7135 and -5106? 12241 Work out -63450 + -287. -63737 Put together 0.072 and 0.309007. 0.381007 What is -3 less than -12069688780? -12069688777 What is 336889 - -0.48? 336889.48 Put together 54.889 and -0.01374. 54.87526 Calculate -28688.2 + 566.2. -28122 Work out -6220 - -163.89. -6056.11 Put together -10061 and -1.876. -10062.876 What is -37432089 minus -0.4? -37432088.6 What is the distance between -11886 and -3622? 8264 Put together 335005 and 4612. 339617 Put together -0.2 and 12772177062. 12772177061.8 Work out -1.998 - 674921. -674922.998 Sum 83 and -160904184. -160904101 What is -1572766615 - 0.3? -1572766615.3 Calculate 2128392.7 + 102. 2128494.7 Calculate 1.27 - -68.371. 69.641 What is the distance between 37866 and -2689? 40555 What is the distance between 0.2 and 106437212? 106437211.8 Add 1.30927 and 20378. 20379.30927 What is the difference between 2416 and -481671? 484087 What is the distance between 761 and 6078104? 6077343 What is 0.4 plus -24447686044? -24447686043.6 Calculate -5 + -1.3622824166. -6.3622824166 Total of 124975 and 8094. 133069 Work out 0.024 + 85.833. 85.857 What is 4 minus 1905733? -1905729 1146963121 + -0.02 1146963120.98 What is 83.82 + 0.01570763? 83.83570763 Add 1339 and -12.2. 1326.8 -3.4 - -44831201 44831197.6 What is 425187170 + -0.24? 425187169.76 Put together 53 and -261832.6. -261779.6 Add together -14863709604 and 0. -14863709604 What is the difference between -1408900.46 and 3? 1408903.46 Put together -5 and -162.764566. -167.764566 Add together -74210 and 67252. -6958 What is 43085.6 + -52? 43033.6 Add together -5803069 and -12.146. -5803081.146 848.78 + -17343.4 -16494.62 Put togethe
{ "pile_set_name": "DM Mathematics" }
at is the second biggest value in 0.05, -105228, 2/9, -4/5? 0.05 Which is the fifth biggest value? (a) 282 (b) -4/5 (c) -0.368 (d) -4 (e) 1/2 (f) 5 (g) -2 b Which is the second smallest value? (a) 0.2 (b) -1/891 (c) 818.8 a What is the sixth biggest value in -3, 17, -5, -8, 1.2, -31.3? -31.3 Which is the fourth biggest value? (a) -0.3 (b) -11 (c) -393 (d) -1/3 (e) 1/5 (f) -2 (g) 23 d What is the biggest value in 1, 9.5, -43, 2/23, 1/2, -0.1, 3? 9.5 Which is the smallest value? (a) -9012 (b) 3 (c) 1024 a Which is the sixth smallest value? (a) 4 (b) -1 (c) -20 (d) -34 (e) -0.2 (f) 38 (g) 1/2 a Which is the fourth biggest value? (a) 128 (b) 0.1 (c) -2 (d) 224 c What is the fourth smallest value in -3, 33, 0.12, -4, -2, 0.003? 0.003 What is the second biggest value in -1/5, -70141, -13/6? -13/6 What is the biggest value in -8/1225, 3, -0.06, 2? 3 What is the seventh biggest value in 27, -1/2, -3, -0.2, -17, -1/3, 7/31? -17 What is the fourth biggest value in -0.3, 5, 2/11, 0.07, 10, 6, -0.2? 2/11 Which is the smallest value? (a) 8831 (b) -0.1 (c) -1.43 c What is the third smallest value in 20275, 435, 0.1? 20275 Which is the second smallest value? (a) -1/3 (b) 1736 (c) -2/7 (d) -2/23 (e) -2/3 (f) -7 e Which is the fourth biggest value? (a) 4 (b) 123450 (c) 5 (d) 33 a What is the third biggest value in 1/15, 7/3, 67/5, -329? 1/15 What is the second smallest value in 1/8, 4, -10683927? 1/8 What is the third smallest value in -4/293, -6, -0.37? -4/293 Which is the second smallest value? (a) -357 (b) -2/17 (c) 1/5 (d) -0.05 (e) 173 (f) 8 b What is the second biggest value in 4/7453, -1/4, 5522? 4/7453 What is the second biggest value in -3, 3/2, 5, 4, -10893? 4 What is the smallest value in -2296, 4, 41, 1/8? -2296 Which is the smallest value? (a) 1/6 (b) -24 (c) -26 (d) -3/2 (e) -666 (f) -2 e What is the fourth smallest value in -1/391, 6, -1/18, -0.4, 4? 4 What is the fifth smallest value in -1, 24, 373, 3/8, 33? 373 Which is the fifth biggest value? (a) -0.2 (b) -52 (c) 2/3 (d) -2 (e) 0.4 (f) 776 d What is the biggest value in -1, 9/4, -16, -24, 443? 443 What is the third smallest value in -1060, -1, -50827? -1 What is the second biggest value in 67, 5, 0.1, -2, -0.4, 2/19, 5/31? 5 Which is the fourth smallest value? (a) -3368.6 (b) -59/5 (c) -1 (d) -3 c What is the sixth biggest value in 0.06, 1, 2/5, -0.09, -63, 0, 294? -0.09 Which is the smallest value? (a) -798.2 (b) 23 (c) -0.3 (d) 95 (e) 4 (f) 1 (g) 0 a Which is the second biggest value? (a) -5 (b) -56 (c) -1 (d) 12446 c What is the biggest value in -25, 0, 5548? 5548 Which is the fourth biggest value? (a) 0.08 (b) -10 (c) 2 (d) 241 (e) 15 a What is the second smallest value in -0.2, 2, 2/11, -25.1, 169? -0.2 What is the third biggest value in 0.2, 1, -0.5, -5, -3, 5, 1/1214? 0.2 What is the fifth biggest value in 0, -0.4, -1, 1/2, -50, -4508? -50 Which is the biggest value? (a) -0.02 (b) 99.2051 (c) -5 b What is the third smallest value in -7572, -2, 23? 23 Which is the second biggest value? (a) -2717 (b) 2 (c) 32.2 (d) 0 b What is the sixth biggest value in 7/3, 4, -13, -3, 166/3, -0.1? -13 What is the biggest value in 5, -1/2, 3/5, 6115, -8? 6115 Which is the smallest value? (a) 142 (b) -1205 (c) 4 (d) -4 (e) 1/3 b Which is the fourth smallest value? (a) -1.99782 (b) 0 (c) -0.5 (d) -1.22 b What is the third biggest value in 8195220, -1/6, 8? -1/6 What is the smallest value in 10/9, -18, 2/5, 2, 47? -18 Which is the third smallest value? (a) 7920 (b) 8682 (c) 2/5 b What is the sixth smallest value in -1/2, -0.02, 1/2, -2/9, 0.03, 5/4, -0.26? 1/2 What is the fourth biggest value in -0.8, 26, -0.5, -2/11, 600? -0.5 Which is the fourth biggest value? (a) 20530 (b) 4 (c) -526 (d) -5 c What is the fifth smallest value in 3, 5, 0.3, -1808, -3/4? 5 What is the second biggest value in -34, 68, -1/2, -1701.4? -1/2 What is the biggest value in 0.2, -6/11, -4, 1039? 1039 What is the smallest value in -0.041, 0.5, -5, -4, -322, 16/7? -322 Which is the third biggest value? (a) 6 (b) -1.8622 (c) -10 c Which is the second biggest value? (a) -42 (b) -0.5 (c) -1/4 (d) 4 (e) 2/13 (f) 10/13 (g) 30/11 g Which is the fourth smallest value? (a) -5 (b) -0.5 (c) 0.5 (d) 1 (e) -10274 (f) -1.9 b Which is the second smallest value? (a) -0.4 (b) 2/21 (c) 3.6 (d) 1/49 (e) -1/3 (f) 0 e Which is the biggest value? (a) -368 (b) -3/11 (c) 2163 c Which is the fourth biggest value? (a) -1/2 (b) -0.026 (c) 1/7 (d) -0.3 (e) 0.057 (f) -4 d What is the second biggest value in 47, 0.1627, -410? 0.1627 Which is the fourth smallest value? (a) 8/19 (b) -0.4 (c) 0.1 (d) 0.135 (e) -0.7 (f) -3 (g) 3/4 c Which is the fifth biggest value? (a) 9.3 (b) -0.1 (c) -0.5 (d) -1/6 (e) -127 (f) 5 c What is the fourth smallest value in 769, 3, 5, 4.9, -2, 1/5, -3? 3 Which is the smallest value? (a) 1/158977 (b) 0.101 (c) -2/9 c What is the third biggest value in 3, -0.5331108, 1? -0.5331108 Which is the seventh smallest value? (a) -31 (b) -0.3 (c) 2/11 (d) 5 (e) 1721 (f) -1/4 (g) -3/7 e Which is the second biggest value? (a) -51124 (b) 19 (c) -51/2 c Which is the third biggest value? (a) 0 (b) -5 (c) 1/23 (d) 7880598 a Which is the second smallest value? (a) 1 (b) -1/4 (c) 5 (d) -341 (e) -237.92 e Which is the fifth smallest value? (a) -11181 (b) -2/7 (c) -0.3 (d) -1 (e) 5 (f) 0.4 (g) -56/9 b What is the second biggest value in 808, -143/5, -17? -17 Which is the second smallest value? (a) 3 (b) 5658 (c) -0.5 (d) -12 c What is the sixth smallest value in 4, 2, 1255, -1/3, 10, 0.49? 1255 What is the second biggest value in -48.93275, -0.1, -3/5, 4, -2/17? -0.1 Which is the second biggest value? (a) -1 (b) 0 (c) 23 (d) -90 (e) 3/5 (f) 8 (g) -4/3 f Which is the second smallest value? (a) -5 (b) -29892606 (c) 0 a Which is the smallest value? (a) -3018/3025 (b) 2 (c) -2/7 a Which is the second smallest value? (a) -5 (b) -2399.308 (c) -2/35 a Which is the fourth smallest value? (a) -0.1 (b) 2/9 (c) 7667 (d) 2/33 (e) -3 (f) 0.1 f Which is the second biggest value? (a) 0 (b) 6312 (c) 0.06361 c What is the sixth biggest value in -2/1075, 0.1, -2, 6, 4, 4/7, 3? -2/1075 What is the fourth biggest value in 1/4, -334, -0.16, -0.03, 1/181? -0.16 Which is the fifth smallest value? (a) -0.19 (b) -7.5 (c) 5 (d) -1 (e) -3.1 (f) 8.1 c Which is the biggest value? (a) 3/16 (b) -0.6 (c) -172137 a What is the second smallest value in -87, -1/2, 0.12, 16/69, 0.4? -1/2 Which is the biggest value? (a) -4 (b) 2 (c) 1 (d) 2/9 (e) -5 (f) -8503 (g) 2.5 g Which is the third smallest value? (a) -86 (b) 2462 (c) -0.5 (d) -1/4 (e) -3 (f) 4 c What is the third biggest value in 0.5844049, -1/4, -2/27? -1/4 Which is the second smallest value? (a) -1 (b) 2/27 (c) 2 (d) 254 (e) 0 e What is the fourth biggest value in 11, 0.13, -1/3, -128, 9/7? -1/3 Which is the smallest value? (a) -2/39 (b) -267 (c) -20097 c What is the second smallest value in 7/16, 0.5, 0.19, 2/125, 4, 2? 0.19 What is the third biggest value in 2, -0.07, 1, -112/913, -5? -0.07 What is the smallest value in 0, -183, -271, 1, 2/11? -271 Which is the smallest value? (a) -2/367 (b) 26.1 (c) 3/4 (d) -6/35 d What is the biggest value in 3/5, 0.11, 4, -864/11, -0.3? 4 Which is the third biggest value? (a) 0.2 (b) 61.8702546 (c) -0.2 c What is the biggest value in -5, 1, 0.5, -14, -9, -3, -0.8? 1 What is the fifth biggest value in -109, 72, -1.87, 2, 2/5? -109 Which is the fourth biggest value? (a) -63.2 (b) 3 (c) -1 (d) -19/4 a Which is the sixth biggest value? (a) 0.201 (b) 19 (c) 2 (d) 1 (e) -4 (f) -1 e Which is the fourth smallest value? (a) 6/277 (b) 3 (c) 8 (d) -3 (e) 0.04 (f) 7 b What is the second smallest value in -0.2, -1/1307471, -6/5? -0.2 Which is the fifth smallest value? (a) 1/40 (b) -2.17 (c) 2/11 (d) 262/9 (e) 1/14 d Which is the biggest value? (a) -2 (b) -1 (c) 0.5 (d) 3 (e) 10/11 (f) 115 f What is the biggest value in -3/4, 1/2, 74, -5/302? 74 What is the smallest value in -1/10, -18, -1138429? -1138429 What is the third smallest value
{ "pile_set_name": "DM Mathematics" }
86. What is the nearest to h in -0.5, -0.8, -1/5, 7? -0.8 Suppose -752*z + 1011 = -95*z - 303. Let s = 2.1 + -2. Which is the nearest to s? (a) z (b) 5 (c) -4 a Let x be (-22)/(-7) - (-9)/(-63). Let v = 412 - 409.03. Let d = 2.77 - v. Which is the nearest to 3? (a) d (b) 0.3 (c) x c Let m = -51.5 - -51.9. Which is the closest to 0? (a) m (b) -2/7 (c) -23 (d) -3 b Let z = 0.037 - 4.037. Let v = 5 - -15. Let w = v + -16. Which is the closest to 0.2? (a) w (b) z (c) 0 c Let k = -7044 - -7044.2. What is the closest to k in 0, 0.3, 2/29? 0.3 Suppose -125*l + 138*l - 9 = -22. Let q be (0 - (-21)/6)/(-2). What is the nearest to l in -0.5, q, -0.4? -0.5 Let u = 136126 - 136131. Let x = -0.1 - 0. Let g = 0 - -0.4. Which is the nearest to x? (a) -4 (b) g (c) u b Let p = 7740 + -7742. Which is the closest to p? (a) 3.13 (b) 0.1 (c) -1 c Let v(l) = l**3 - 14*l**2 - 35*l + 51. Let d be v(16). Suppose 0 = -d*f + 25*f - 44. Which is the nearest to f? (a) -10 (b) 1 (c) 4 b Let g = -30767 + 30772. What is the nearest to -1 in g, 1, -1/31? -1/31 Let k = 0.607 - 0.97. Let o = k - -0.063. Which is the closest to 0.1? (a) o (b) -4/5 (c) -1/4 (d) -0.2 d Let i be (-1)/(1 - (-12)/(-8)). Suppose -10 = j - i*j + 5*k, -5*j - 37 = 4*k. Let a = 125 + -128. What is the closest to -1/5 in j, 4/5, a? 4/5 Let l = 12532 + -12527. Let z = 0.006 + -0.206. Which is the nearest to 6? (a) -1/7 (b) l (c) z (d) 1/5 b Let l = 0.3 + 1.7. Let g(w) = -w**3 - 6*w**2 + 3*w + 14. Let x be g(-6). Let j be 1*(5 + x)*(-1 + 2). Which is the closest to j? (a) -0.1 (b) -5/2 (c) l c Let p = 3.02 - 0.02. Let k = -785.86 + 786. Let z be (-20)/(-12)*-4 + 7. Which is the nearest to -1/3? (a) k (b) z (c) p a Suppose -281*l = -4*g - 285*l + 8, 16 = 2*g - 2*l. What is the closest to -1/3 in 1/4, g, -463/3? 1/4 Let w = 3653.9 - 3654. What is the nearest to 2/3 in w, 4, 1/10, -0.44? 1/10 Let z = -1514 + 1509. What is the nearest to -4 in z, -2/11, -0.5? z Let u = 3089 + -3086. What is the closest to -15 in u, -2/45, -5? -5 Let j be (1 - -3)*(11 - 10 - 0)/(-3). Let h = 0.6 - 0.1. Which is the nearest to 0? (a) j (b) -14 (c) h c Let s be ((-2)/(-6))/(1/(-36)). Let h(d) = -d**3 - 13*d**2 - 12*d - 1. Let b be h(s). What is the closest to b in 1, -4/19, 5? -4/19 Let t = 97.12 + -99. Let v = 2.67 + t. Let u = v - 0.99. What is the closest to -1/2 in 4/5, u, 2? u Suppose -144*j + 20 = -47*j - 77*j. What is the nearest to -0.2 in -1/8, j, 0.03, -2/11? -2/11 Let k(n) = n**2 + 3*n - 7. Let v be k(-4). Let o be ((-1)/v - 2)*-49. Let h = o + -81. Which is the nearest to -1? (a) h (b) 4 (c) 0.3 c Let n = -0.173 + -0.527. Which is the closest to -1? (a) -0.5 (b) -0.1 (c) -2/7 (d) n d Let y = 167444 + -502330/3. Let s = 206482/945 - 170/189. Let t = 219 - s. Which is the closest to 2/3? (a) y (b) -4 (c) t a Let b = -21.2 + 21.1. Suppose 3*h + 3*x + 1 - 4 = 0, -h + 3*x + 5 = 0. Suppose 28 - 3 = -5*r. What is the nearest to -1 in h, b, r? b Suppose 7*r + 50 = 22. Let z be 3*(-10)/12*r. Let o(l) = -l**2 + 4*l + 7. Let y be o(5). Which is the nearest to 0.2? (a) -2/7 (b) y (c) z a Suppose -67 = -3*f + r - 75, 0 = -4*r + 20. What is the closest to f in 3, 49/6, -0.2? -0.2 Let v = 1757.4 + -308.4. Let d = v - 1449.5. Let a = -1 + 3. What is the nearest to a in -3, d, 0.4? 0.4 Let l = 1882/45 + -198/5. Which is the closest to 1? (a) 1/7 (b) l (c) -1 a Let k be (27 + -27)/5 - ((-45)/12)/5. Let n = -1.3 - -0.3. Which is the closest to n? (a) -54 (b) k (c) -2/7 c Let m = 2.1053 + 7.8947. What is the nearest to -2/5 in m, -0.5, 85? -0.5 Let p = -4.05 + 0.95. Let l = p + 3. What is the nearest to l in 2/7, 11/3, 3? 2/7 Let k = 168.79 + -168.49. Which is the closest to 0? (a) k (b) 867 (c) 3 a Let h = -18 + 16. Let t be 4/(-6)*2/4. Let v = -302 - -305. What is the nearest to t in -1, h, v? -1 Let s = -54.7 - -30.8. Let w = 23.5 + s. Which is the nearest to -19? (a) w (b) 1/2 (c) 2/5 a Let o = 41444 - 41445. What is the nearest to o in 1/11, 0.4, 0, -5/6? -5/6 Let c = -3.113 - -5.113. Let t = -29 + 23. What is the closest to c in t, -3, 0.5? 0.5 Suppose 2*p - 13 = 5*u + 12, u + 4*p = -5. Let s = -2 - u. Let w = 0.1 + -0.3. Which is the nearest to s? (a) w (b) 1/2 (c) -0.7 b Let x = 0.7 - -0.3. Let u(h) be the first derivative of h**2 - 37*h - 64. Let t be u(16). Which is the closest to x? (a) -2 (b) t (c) 5 a Let l be ((-255)/50 - -5) + -5 + (-903)/70. Which is the closest to l? (a) -3 (b) 0 (c) 66 a Let z = -9.1 + 10. Let d = -271.9 - -266. Let w = z + d. What is the closest to 5 in 0.4, w, 3/5? 3/5 Let q = 0.2 - 0.1. Let v be 105/455 + 212/208. Which is the nearest to 0? (a) q (b) -4 (c) v a Let q = -205123 - -1435860/7. Let z = 1/101 + -413/909. Which is the closest to 28? (a) z (b) q (c) -5 (d) 2 d Let u = 0.045 + 1.955. Let b(k) = -156*k - 161. Let p be b(-1). What is the closest to -2 in -3/4, u, 0, p? -3/4 Let t = 3/341 + 2258/14663. Let y = 157/172 - t. What is the nearest to y in -0.03, -2/5, 4/5? 4/5 Suppose -2 = -82*q + 83*q. Let w be q/12 - 2255/(-9570). What is the nearest to 4 in 0.2, 0, w? 0.2 Let r = -27 + 28. Suppose 0 = 6*t + 136 + 8. Let f be t/(-10)*5/3. What is the nearest to r in f, 2/9, 5? 2/9 Let i = 5 - 4.6. Let z = 56256 + -56261. Which is the closest to 0? (a) i (b) 0.5 (c) z (d) -4/3 a Let x = 36 - 25. Let w = x + -10.9. Let l(s) = s**2 + 23*s + 43. Let q be l(-21). Which is the closest to w? (a) 3/5 (b) q (c) -8 a Let g = -0.10195 - -0.02195. What is the closest to -4 in g, -1, -3/8, -0.06? -1 Let p = -1.98744 + -0.01256. What is the nearest to p in 0.43, -2/7, -1/8? -2/7 Let u = -350 + 350.222. Let l = -5.222 + u. Which is the nearest to -2? (a) l (b) 0.1 (c) -2/5 c Suppose 8*c + 4 = 12*c. Let x be (-1)/3*(0 + 0). Let h = 84.5 - 84. What is the closest to x in c, h, -2? h Let i = -32.7 + 0.7. Let c = -16 - i. Let w = -16.3 + c. What is the closest to 1 in 2, w, 0.5? 0.5 Let l = 0 + 2. Let r = -26016602/25 + 1040664. Which is the nearest to -1/4? (a) r (b) 0.2 (c) 1 (d) l a Let l = -2/73331 - 146656/219993. Let q = 0.2 - -0.8. Which is the closest to -1? (a) -1 (b) q (c) l a Let u = 1182.8 + -1180.8. Which is the nearest to -0.2? (a) 0.15 (b) -2 (c) u (d) 20 a Let u be (-6)/(-8) - 52/(-32)*-2. Let i = -2 + 2.04. Which is the nearest to i? (a) 1/3 (b) u (c) 2/3 (d) 6 a Let f = 665 - 665.1. Let i = -43 - -29. Let y = i - -9. What is the closest to f in y, -1, -1/9? -1/9 Let f = -1680.1 + 1591. Let w = f + 90. What is the nearest to 1 in w, 0, -0.1? w Let m(h) = -h**3 - 63*h**2 + 2*h + 185. Let y be m(-63). Let c(z) = -z**3 - 9*z**2 - z - 9. Let a be c(-9). What is the closest to y in -2, 1, a? 1 Let p be 1/3 - 6/18. Suppose 3*x + t - 169 = p, -3*t - t + 96 = 2*x. Which is the closest to x? (a) 0.1 (b) -4/9 (c) 0 (d) -3/2 a Suppose -2*o = 3*i + 1432, -4*o + 8*o = -i - 484. Let m = i - -2382/5. Which is the closest to 1? (a) -1 (b) -1/3 (c) m c Let t = -176 + 181. Suppose 13 = -t*g + 5*m + 38, g = -5*m - 19. Which is the closest to g? (a) -2/3 (b) -0.5 (c) 1/3 c Let o be 6*1*(-36)/270. Let v be (-2)/36*(-384)/(-320). What is the nearest to o in 2/5, v, 0.3? v Let m = -5933 + 5933.1. What is the nearest to 6 in 0, -1, -99/4, m? m Let g = 0.2 + -0.3. Let f be 320/(-17 - -33) - 18. Let h = 4 + -3. What is the closest to h in g, f, -1? f Let v(f) = 136 + 8*f + 29 + 25*f. Let z be v(-5). What is the nearest to -1 in 4, z, -1? -1 Let s(m) = -m**3 + 2*m - 6. Let w be s(-2). What is the nearest to w in -13, 4, 1, 0.3? 0.3 Let f = -5 - -6. Let v = 5.2 + -7.63. Let w = -1.43 - v. What is the nearest to w in 5, f, 4? f Let s be (-1034)/165 - (4 - 10). What is the closest to 1 in s, 1/3, -1/55? 1/3 Let p = 897/4 - 225. Suppose -4*l - 16 = 3*t + 2*t, -l + 3*t + 13 = 0. What is the closest to p in -3, l, 1/2? 1/2 Let o = -329 - -337.5. Let s = -11.5 + o. Let w = 2.1 - 2. What is the closest to -1/4 in s, w, -2? w Let f = -0.02373 - -29.02373. What is the nearest to f in 3, 0, 4? 4 Let c = -636 - -600. What is the closest to 5/11 in c, -4, 0.1? 0.1 Let u = 73.68 + -74. Let j = u + 48.32. Let i = j + -51. What is the closest to 0 in -4, 2/23, i? 2/23 Let o be 11 + (8 + 57/(-9))*-3. Which is the nearest to 36
{ "pile_set_name": "DM Mathematics" }