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2 - 90924*t wrt i? -9*i**2*t - 18*i*t + 292*i Find the third derivative of 5051*b**3*w + 25*b**3 - 360*b**2 + 9*b*w wrt b. 30306*w + 150 What is the first derivative of -397*o**2 + 69*o + 15103 wrt o? -794*o + 69 Find the second derivative of -70*m**2*y**4 - 2*m**2*y**2 + 1055*m**2*y - 33*m**2 wrt y. -840*m**2*y**2 - 4*m**2 What is the third derivative of 578108*m**3*y**3 - 3*m**3*y**2 + 2*m**3 - 5*m**2*y - 2*m**2 + 11548*m*y**3 + 3*y**3 wrt m? 3468648*y**3 - 18*y**2 + 12 What is the third derivative of -1225*i**5 + 10*i**4*m - 7*i**2*m - 206*i*m wrt i? -73500*i**2 + 240*i*m What is the third derivative of 26439*h**3 + 42*h**2 + 645*h wrt h? 158634 Differentiate 80463*s*z + 3653*z + 7 with respect to s. 80463*z Find the second derivative of 571*a**4 + 15*a**3 - a**2 + 5*a + 238 wrt a. 6852*a**2 + 90*a - 2 What is the second derivative of -3027*u**3*z**3 - 2*u**3 + u*z**3 - 23192*u*z**2 wrt u? -18162*u*z**3 - 12*u What is the first derivative of -i*l*z**3 - 2*i*l + 4456*i + 111317*l*z**3 + 9*z**3 wrt l? -i*z**3 - 2*i + 111317*z**3 Find the second derivative of -175*l**5 - 2582*l**4 + 576810*l. -3500*l**3 - 30984*l**2 Find the third derivative of 20697*y**6 - 2*y**4 - 2*y**3 - 6726*y**2 - 15*y - 1 wrt y. 2483640*y**3 - 48*y - 12 What is the derivative of -2*r**2*w + 2647035*r**2 - w**2 + 101535*w wrt w? -2*r**2 - 2*w + 101535 What is the second derivative of 229*j**3*n + 3*j**3 + 289*j**2*n - 8*j*n + 908*j + 2*n - 2 wrt j? 1374*j*n + 18*j + 578*n Find the second derivative of -p**3*r**2 - 37*p**3 + 17*p**2*r - 23130*p*r**2 + 8*p*r - 3*p wrt r. -2*p**3 - 46260*p What is the second derivative of -2*n**2*z**3 + 1014271*n**2*z**2 - 2*n*z**2 - n + 6*z**3 - 374*z**2 wrt n? -4*z**3 + 2028542*z**2 Find the second derivative of -15605*n**5*z**3 + 10*n**2*z**3 - 9*n*z - 160*n + z**3 - 102*z**2 + 1 wrt n. -312100*n**3*z**3 + 20*z**3 What is the third derivative of 5729*z**5 + z**4 - 224910*z**2 wrt z? 343740*z**2 + 24*z What is the third derivative of 4*c**5 + 106*c**3*q - 160*c**2*q + 5*c**2 - 7*c*q - c wrt c? 240*c**2 + 636*q Find the third derivative of -86274*b**4 + 11*b**2 + 2930*b. -2070576*b What is the first derivative of -l**3*o*v**2 + 34945*l**3*o - 2*o*v**2 - 5*v**2 + 195*v wrt l? -3*l**2*o*v**2 + 104835*l**2*o Find the third derivative of 12621*s**3 + 194078*s**2 wrt s. 75726 Differentiate -3878*p*t**2 - 12070*p + 5*t**3 with respect to t. -7756*p*t + 15*t**2 What is the third derivative of 127*o**6 + 34*o**5 + o**4 - 2*o**2 - 292583? 15240*o**3 + 2040*o**2 + 24*o What is the first derivative of -98*t**4*y + 2511*t**3*y + 15*y - 38289 wrt t? -392*t**3*y + 7533*t**2*y Differentiate 160*u**3 + 24*u**2 - 23*u + 1797207. 480*u**2 + 48*u - 23 Find the first derivative of -218420*i*s**2 - 5*i*s - 844161*i wrt s. -436840*i*s - 5*i What is the second derivative of -736166*l**3*z**3 + 4*l**3*z**2 - 500115*l**3*z - l**3 + 2*l**2 + l*z - 2*z wrt z? -4416996*l**3*z + 8*l**3 What is the second derivative of 58999*m**3*u**3 + 1487*m*u**3 + 3*m*u + 6*m wrt m? 353994*m*u**3 Differentiate 2*c**2 + 42495*c*f**3 - 86295*f**3 wrt c. 4*c + 42495*f**3 What is the third derivative of -1687015*o**4 - o**3 - 957*o**2 - o + 125? -40488360*o - 6 Differentiate -7*m*o**3 - 822*m*o**2 + 2*m + 788*o**3 - 45*o wrt m. -7*o**3 - 822*o**2 + 2 What is the derivative of -58*o**2*q + 162*o**2 + o*q - 40*o - 1131*q wrt q? -58*o**2 + o - 1131 Differentiate -h**4*y**2 - 2795*h**4 - 89*y**2 - 126*y wrt h. -4*h**3*y**2 - 11180*h**3 What is the derivative of -164674*g - 242924? -164674 Find the second derivative of k**2*o*t*u + 153986*k**2*t**3 + k**2*t*u + 43*k*o*t**3*u - 2*k*o*t**3 - k*o*t - 30*k*o*u - 26*o*t*u - 3*o*u wrt k. 2*o*t*u + 307972*t**3 + 2*t*u Find the second derivative of 200963*u**4 + 4*u + 15485. 2411556*u**2 Find the second derivative of 141105*a**3*i + a**3 - 2405*a*i - 47*i wrt a. 846630*a*i + 6*a Find the third derivative of 698*k**6 + 6*k**4 - 6*k**3 + k**2 + 86451*k. 83760*k**3 + 144*k - 36 Find the third derivative of 5329948*h**3 - 71*h**2 + 4450 wrt h. 31979688 What is the second derivative of -1886*t**4 + 15*t**2 - 2*t - 5148? -22632*t**2 + 30 What is the second derivative of 11*m**4 - m**3*u**3 + 760*m**3*u + 29*m*u**3 + 2849*m wrt m? 132*m**2 - 6*m*u**3 + 4560*m*u Find the second derivative of -44826*c**3 - c - 2106. -268956*c Find the third derivative of -i**6 - 5*i**4 + 83*i**3 - 2296*i**2 wrt i. -120*i**3 - 120*i + 498 Find the second derivative of -6459*m*v**2*z**2 + 12*m*v**2 + 43*m*v*z - 2*v wrt z. -12918*m*v**2 What is the second derivative of -3*j*p**2 + j*p + 270*j - 121053*p**2 - 592*p wrt p? -6*j - 242106 Differentiate l*r*u**3 - 181651*l*r*u**2 + 11*l*u**3 - 12*l*u**2 + l*u - 8*l - 28*u**3 wrt r. l*u**3 - 181651*l*u**2 Find the second derivative of 2328413*b**3 + 2*b**2 - 4563210*b wrt b. 13970478*b + 4 Find the second derivative of -6*d**2*h**2*t + d**2*t + 5*d**2 + 1534*d*h**3*t + d*h - 44*d - 5*h**2*t + h - 1 wrt h. -12*d**2*t + 9204*d*h*t - 10*t Find the second derivative of 2026*q**5 - 26*q**3 - q**2 + 103065*q. 40520*q**3 - 156*q - 2 Find the second derivative of -381*o**3*y - 1604*o**2*y**2 + 2*o*y**2 - 14*o*y + 962*y**2 + 1 wrt o. -2286*o*y - 3208*y**2 What is the third derivative of 565857*c**3 - 865*c**2 + 8 wrt c? 3395142 Find the second derivative of -8*f**4 + 5*f**3 + 1094*f**2 - 578*f + 97. -96*f**2 + 30*f + 2188 Differentiate 97772*y**3 + 71127 with respect to y. 293316*y**2 Differentiate -98443*u + 12274 wrt u. -98443 What is the second derivative of n**3 + 175463*n**2 - 69259*n - 4 wrt n? 6*n + 350926 Find the first derivative of -133757*n**2 + 5*n - 30734. -267514*n + 5 What is the first derivative of 5*a**2*c**2 + 20*a**2 - 788*a + 714*c**2 wrt c? 10*a**2*c + 1428*c Find the second derivative of -1350203*z**3 + 763*z - 394. -8101218*z What is the second derivative of -1049*j**2*k**2*z**2 - 783*j**2*k*z**3 + 2*j*k**2*z**3 + 16*j*k**2*z**2 - 3*j*k**2 + 2*j*k*z**2 + 2*j*k - 159*k**2*z**2 wrt j? -2098*k**2*z**2 - 1566*k*z**3 Differentiate 35496*v - 33296 wrt v. 35496 What is the derivative of 303*r**3*s*x - 533*r**3*s - 11*r**3*x - 8*r**3 + 5*r*x + 46*r wrt s? 303*r**3*x - 533*r**3 What is the second derivative of 193253*c**2 - 485973*c? 386506 Differentiate -5*a*b*g**2*z - 791*a*b*z + 2*a*g*z - 5*b*g**2 - 41*g**2*z + 468*g**2 with respect to b. -5*a*g**2*z - 791*a*z - 5*g**2 Find the third derivative of -77*x**5 - 5*x**4 + 52*x**3 - 4835*x**2 - 3*x - 8. -4620*x**2 - 120*x + 312 Find the third derivative of -11*a**3*c**4 + 10*a**3*c**2 + 14*a**3*c + a**2*c - 314*a*c**5 + 6*c wrt c. -264*a**3*c - 18840*a*c**2 What is the third derivative of -4489*b**4*h**2 - 4*b**4 - 2*b**2*h**2 + 5*b**2*h - 243*b*h + 4*h**2 wrt b? -107736*b*h**2 - 96*b Find the third derivative of 2*y**5 + 189530*y**3 - 2264614*y**2. 120*y**2 + 1137180 Find the third derivative of -23*d**2*n*x**2 - 7*d**2*n*x - d**2*x**3 - 6*d**2*x + 2*d**2 - 113*d*n*x**3 - d*n + 2*n*x**3 + 162*x**3 wrt x. -6*d**2 - 678*d*n + 12*n + 972 What is the second derivative of 1722*t**5 - 142*t**2 + 685*t - 14? 34440*t**3 - 284 Find the third derivative of 292812*u**3 - 4445*u**2 + 2*u - 14. 1756872 Find the second derivative of 26*i**4 + 25*i**3 + 9*i**2 - 31091*i wrt i. 312*i**2 + 150*i + 18 What is the second derivative of -6*j*p**3 - 85*j*p**2 - 15*j*p - 7*j + 88*p**3 + 96*p - 3 wrt p? -36*j*p - 170*j + 528*p What is the third derivative of -360461*a**5 - 3083*a**2 + 50*a wrt a? -21627660*a**2 Find the third derivative of -40*h**6 - 12*h**5 + h**4 - h**2 + 29431*h wrt h. -4800*h**3 - 720*h**2 + 24*h What is the derivative of 10*g*w**3 + 191*g*w + 155*g + 157*w**4 - 2348 wrt w? 30*g*w**2 + 191*g + 628*w**3 Find the third derivative of -39*b*r**4 - 3268*b*r**3 + 2*b*r**2 + 3*b - 7*r**2 + 182*r - 2 wrt r. -936*b*r - 19608*b What is the third derivative of -2*h**2*s*u + 89774*h**2*t**3*u + 2*h**2*t**2*u + 2*h**2*u - 3*h*s*t*u - 2*s*t**3 - 671*t*u + 2 wrt t? 538644*h**2*u - 12*s What is the second derivative of 140028*l**4 - 335801*l + 1 wrt l? 1680336*l**2 What is the third derivative of 1774*f**4*o + 29*f**4 - f**2 - 83347*o wrt f? 42576*f*o + 696*f Differentiate -65062*o**3 + 18263 with respect to o. -195186*o**2 What is the derivative of 24344*l + 53890? 24344 Find the first derivat
{ "pile_set_name": "DM Mathematics" }
t k(a) = y*f(a) + b(a). Determine h(k(o)). 10*o**2 Let z(p) = 4*p. Let s(r) be the third derivative of r**5/30 - 5*r**2. Give z(s(x)). 8*x**2 Let j(k) = -9*k**2 - 3 + 4*k**2 + 9*k**2 + 7. Let h(o) = 4*o**2 + 3. Let f(q) = -4*h(q) + 3*j(q). Let b(m) = -m**2. Calculate b(f(n)). -16*n**4 Let q(c) = -3*c. Let g(n) = 42*n**2 + 3*n. Calculate q(g(m)). -126*m**2 - 9*m Let a(k) = -2*k**2. Let y(h) be the first derivative of 0*h + 0*h**3 + 2 - 1/2*h**2 + 1/12*h**4. Let u(z) be the second derivative of y(z). What is a(u(w))? -8*w**2 Let v(y) = -7*y**2. Let p(b) = -40*b. What is p(v(t))? 280*t**2 Let s be 4/12 + 0/(-1). Let h(p) be the first derivative of 2 + 0*p + s*p**3 + 0*p**2. Let g(b) = -2*b**2. Determine g(h(d)). -2*d**4 Let b(h) = 9*h - 1. Let z(u) = -10*u**2 - 3. Determine b(z(o)). -90*o**2 - 28 Let q(g) = -652*g. Let n(r) = 2*r**2. What is q(n(a))? -1304*a**2 Let w(j) = -3*j**2. Let q(v) = 2*v. Let t(h) = -1 + 1 + 2*h. Let k(z) = -z**2 + 7*z + 3. Let m be k(7). Let r(f) = m*t(f) - 4*q(f). Determine r(w(u)). 6*u**2 Let r(j) = -j**2 + j**2 - j**2. Let z(h) = h**2. Let s(t) = -3*r(t) - 4*z(t). Let f(c) be the third derivative of c**5/20 - 2*c**2. Give s(f(b)). -9*b**4 Let o(w) = -10*w**2. Let d(x) = -27*x. Determine d(o(a)). 270*a**2 Let u(l) = 3*l - 14. Let z(m) = 4*m**2 - 12*m. What is u(z(c))? 12*c**2 - 36*c - 14 Let g(o) be the third derivative of o**4/12 + 5*o**2. Let l(j) = 2*j**2. What is g(l(p))? 4*p**2 Let o be (7 - 9) + 1*4. Let d(s) = 3*s**2 + 0*s**o - 4*s**2. Let q(a) = -2*a**2 + 2*a**2 + 2*a**2. Determine d(q(z)). -4*z**4 Let m(k) be the second derivative of 0*k**3 - 1/60*k**5 + 0 + 0*k**4 - k - 1/2*k**2. Let f(s) be the first derivative of m(s). Let t(g) = 9*g**2. Give f(t(c)). -81*c**4 Let v(x) = -x. Let o(s) = -s - 7. Suppose -4*z = 20, 5*n + z + 10 = 5*z. Let g(f) = -f - 6. Let q(l) = n*o(l) + 7*g(l). What is q(v(y))? y Let q(u) = -4*u**2 + 11*u. Let c(d) = -2573*d - d**2 + 2573*d. Give c(q(i)). -16*i**4 + 88*i**3 - 121*i**2 Let g(t) = -t**2. Let h(i) = 51*i. Let l(p) = 1887*p. Let k(b) = 221*h(b) - 6*l(b). Determine g(k(x)). -2601*x**2 Let s(a) = -17*a. Let m(p) = -3*p**2 + 4*p**2 + 2*p**2 - p**2. What is s(m(u))? -34*u**2 Let l(d) = -2*d**2. Let k(o) = 5*o**2 + 11. Give k(l(z)). 20*z**4 + 11 Let w(v) = 3*v**2. Let c = -11 + 8. Let x be (c/9)/(1/(-6)). Let r(k) = -2*k**x + 6*k**2 - 2*k**2. Give w(r(d)). 12*d**4 Let o(u) = -75*u**2. Let i(h) = -h + 218 - 218. Calculate i(o(b)). 75*b**2 Let p(n) = n. Let o(a) = a + 4*a - a - a. What is o(p(l))? 3*l Let l(b) = -b. Let k(c) be the second derivative of -7*c**4/12 + 17*c. Determine k(l(z)). -7*z**2 Suppose -c + 1 = -w - 0, 5*w + 1 = 3*c. Let s(k) = k**c + 0*k - 2*k + 2*k. Let t(u) = 0 + u + 0. Give s(t(a)). a**2 Let r(b) = 2*b + b - b. Let h(s) = -s**2 + 2*s. Let l(x) = -x**3 + x - 2. Let o be l(0). Let a(y) = y**2 - 3*y. Let j(v) = o*a(v) - 3*h(v). Give r(j(t)). 2*t**2 Let i(p) = 22*p**2. Let z(w) = 2*w**2. Calculate z(i(n)). 968*n**4 Let l(j) be the first derivative of -2*j**2 + j + 48. Let u(y) = -2*y. What is l(u(c))? 8*c + 1 Let m(t) = 3*t**2. Let k(c) = c**2 + c + 1. Let o(a) = -6*a**2 - 7*a - 7. Let f(w) = 28*k(w) + 4*o(w). Determine f(m(d)). 36*d**4 Let n(j) = 316*j + 2. Let v(p) = 14*p. Give v(n(h)). 4424*h + 28 Let b(j) = j**2. Let l(a) = -a**3 + 2*a + 1. Let f be l(-1). Let n(p) = -3*p**2 + f*p**2 - p**2. Give n(b(t)). -4*t**4 Let q(r) be the first derivative of -4*r**3/3 + 1. Suppose 0 = -b - a + 5 - 1, 5*b = 5*a. Let j(c) = 2 + 5*c - b - 7*c. Give j(q(f)). 8*f**2 Let u(i) be the first derivative of 2*i**3/3 + 1. Let d(s) be the first derivative of -s**3/3 + 6. Give u(d(w)). 2*w**4 Let o(f) = 22*f**2 - 5*f**2 - 8*f**2 - 8*f**2. Let y(n) be the second derivative of n**4/4 + 3*n. Determine o(y(d)). 9*d**4 Let m(k) = -6*k**2. Let u(b) = b - 2*b - b + b. Give u(m(h)). 6*h**2 Let a(f) = 2*f**2. Let x(n) = -505*n. What is a(x(b))? 510050*b**2 Let z(p) = 17*p**2 - 42. Let r(h) = 2*h**2. Calculate z(r(i)). 68*i**4 - 42 Let s(h) = -9*h**2. Let f(r) = 261*r - 128*r - 131*r. Give s(f(j)). -36*j**2 Let i(j) = -j - 10. Let h be i(-12). Let x(k) = 2*k**2 - k**h - k + k. Let r(b) be the second derivative of -b**4/6 - b. Give x(r(a)). 4*a**4 Let x(o) = 18*o**2 - 3*o. Let i(y) be the third derivative of y**5/30 + y**2. Determine x(i(k)). 72*k**4 - 6*k**2 Let m be -3*(2 - 26/6). Let j(u) = -6*u - m*u + 10*u. Let s(t) = 6*t**2. What is j(s(f))? -18*f**2 Let m(n) = -3*n - 19 + 19. Let h(u) = 2*u**2 - 4*u**2 + 2*u**2 + u**2. What is h(m(x))? 9*x**2 Let p(o) = 14*o. Let a(b) = b. Let v(s) = -12*a(s) + p(s). Let x(t) = -10*t. Give v(x(j)). -20*j Let q(y) = 4*y. Let h(x) = 4*x**2 + 2*x - 2. Let j(u) = u - 1. Let a(f) = -h(f) + 2*j(f). Determine a(q(m)). -64*m**2 Let x(c) = 3 + c + 7 - 10. Let o(b) = -16*b. What is o(x(s))? -16*s Let n(g) = -3*g**2 - 326. Let u(a) = 6*a. Determine n(u(p)). -108*p**2 - 326 Let d(w) = -7*w**2. Let s(q) = 52*q. What is d(s(n))? -18928*n**2 Let n(s) = -40*s. Let u(p) = -4*p - 2*p + 7*p. Calculate n(u(z)). -40*z Let l(h) = -29*h. Let i(y) = -58*y. Let m(t) = 6*i(t) - 11*l(t). Let o(a) = 2*a. Give m(o(s)). -58*s Let q(a) = 2*a**2 - 5*a**2 - 2*a**2 + 0*a**2. Let j(b) = -4*b. Calculate q(j(d)). -80*d**2 Let w(m) be the first derivative of -m**3/3 + 3. Let t(c) = -4*c - 2*c**2 + 4*c. Determine t(w(y)). -2*y**4 Let g(d) = 33*d**2. Let i(v) = 106*v**2. Give g(i(a)). 370788*a**4 Let b(u) = -111*u. Let x(g) = -42*g. Give b(x(c)). 4662*c Let g(q) = 35*q**2. Let o(p) = -p - 1. Let y(j) = 1. Let x(w) = 3*o(w) + 3*y(w). Calculate g(x(f)). 315*f**2 Let m(q) = -2*q**2 + 3*q**2 - q**2 - 2*q**2. Let l(y) = -12*y**2. What is m(l(a))? -288*a**4 Let t(i) = 3*i. Let x(k) = 3*k**2 - 16. What is x(t(w))? 27*w**2 - 16 Let z(n) = -3*n**2 - 2*n**2 + 6*n**2. Let m(v) be the second derivative of v**5/60 + v**3/6 + v. Let k(s) be the second derivative of m(s). What is z(k(i))? 4*i**2 Let y(h) = -h**2 + 5*h + 5. Let t(f) = f**2 - 6*f - 6. Let j(k) = -5*t(k) - 6*y(k). Let q(m) = 2*m. Calculate j(q(l)). 4*l**2 Let o(n) = 59*n**2 + n. Let y(z) = z. Determine y(o(f)). 59*f**2 + f Let j(y) = -19*y**2. Let v(o) = -7*o - 13. Let z(n) = -n - 2. Let k(d) = 6*v(d) - 39*z(d). What is j(k(t))? -171*t**2 Let d(w) be the second derivative of -w**4/3 + 2*w. Let f(n) be the second derivative of 0*n**2 + 1/6*n**3 + 0 - n. Determine d(f(i)). -4*i**2 Let b(t) = -t**2. Let q(v) = 406*v + 2*v**2 + 29*v**2 - 406*v. Determine b(q(h)). -961*h**4 Let v(c) = -5*c**2. Let k(d) = 11*d. Let w(y) = -2*y. Let o(s) = -2*k(s) - 10*w(s). Determine v(o(f)). -20*f**2 Let c(y) be the first derivative of 2*y**2 - 5*y - 1. Let g(b) = 7 - 9 + 2*b + 0. Let u(r) = -2*c(r) + 5*g(r). Let z(v) = 2*v. Give u(z(f)). 4*f Let q(o) = -6*o**2 - 17*o. Let c(l) = -2*l**2 - 6*l. Let t(a) = -17*c(a) + 6*q(a). Let d(g) be the third derivative of -g**5/30 + 2*g**2. Give d(t(n)). -8*n**4 Let j(r) be the third derivative of r**4/8 + 93*r**2. Let o(y) = -y**2 - 8*y + 8. Let b(x) = -x + 1. Let t(p) = 24*b(p) - 3*o(p). Give t(j(c)). 27*c**2 Let m(j) = 2*j**2 + 2*j**2 - 5*j**2. Let g(d) = -13*d + 0*d + d. Give m(g(y)). -144*y**2 Let p(g) = -3*g**2. Let i(k) = 7*k - k - 5*k - 2*k. Determine p(i(w)). -3*w**2 Let n(k) = -k**2. Let l(h) = 395*h. Determine l(n(g)). -395*g**2 Let y be (-4)/22 + (-24)/(-11). Let x(o) = -4*o**2 + 2*o**y + o**2. Let k(m) = 4*m**2. Give x(k(r)). -16*r**4 Let u(c) = c. Let f(k) = 2*k - 20. Let n(b) = -f(b) + 4*u(b). Let a(w) = -w. Calculate n(a(p)). -2*p + 20 Let j(y) = -7*y + 132. Let b(t) = 2*t**2. What is j(b(c))? -14*c**2 + 132 Let o(z) be the first derivative of 2*z**2 + 8. Let w(l) = -4*l**2. Calculate o(w(d)). -16*d**2 Let n(c) = -4*c. Let b(u) = -u. Let k(f) = -2*b(f) + n(f). Let i(v) = 9*v**2. Calculate i(k(j)). 36*j**2 Let o(y) be the second derivative of -2*y**3/3 + 2*y. Let k(m) be the third derivative of -m**5/60 - m**2. What is o(k(x))? 4*x**2 Let v(l) = -3*l. Let f(x) = 5*x - x - x. Give v(f(k)). -9*k Let f(t) = -133*t**2. Let w(s) = -2*s**2. Determine f(w(y)). -532*y**4 Let x(a) be the second derivative of -a**3/3 + 20*a. Let i(o) = 32*o. What is x(i(c))? -64*c Let r(a) = 15*a. Let n(d) = 3*d. Suppose -2*z = -i + 25, 3*z = 4*i - z - 92. Let s(f) = i*n(f) - 4*r(f). Let v(q) = 3*q - q - q. Calculate s(v(x)). 3*x Let d(
{ "pile_set_name": "DM Mathematics" }
1/(-10) - 1/o. Let j = -1/5 - x. Does -2/7 = j? False Let s = 8 + -8. Suppose -5*j + 9 = n - s*j, -5*j + 5 = 5*n. Let w = 7/12 + -41/84. Is w smaller than n? False Let w(u) be the first derivative of 1/2*u**2 - 3 + 5*u. Let s be w(-6). Is -1/10 at least as big as s? True Let y be ((-12)/48)/(2/(-136)). Is y >= 17? True Let u(j) = 2*j - 2. Let c be u(2). Is c <= 4? True Let i = -0.6 + 0.8. Let j = -3.6 + i. Let u = -3 - j. Is u greater than or equal to 0? True Suppose 0 = -3*k, -o - 4 = -4*k - 3. Which is smaller: -2/47 or o? o Let g be 7/(-4) - -2 - 153/(-60). Which is smaller: g or 2? 2 Let g = -0.7 - 0.1. Let a = g + 3.8. Let q = -2.9 + a. Is q equal to -3? False Let s be (-30)/350*5/2. Let c = -1/6 + 2/3. Let o = s + c. Is o less than 0? False Let c be (4 + -3)/((-3)/30). Is -10 less than c? False Let a(n) = n**3 + 6*n**2 - 8*n - 8. Let u be a(-7). Is u >= 2/37? False Let k = -10 + 11. Which is smaller: 2/9 or k? 2/9 Let v(q) = -q**3 + 3 + 6*q**2 + 1 - 7*q + 2. Let t be v(4). Suppose 0*k + t = -5*n + 2*k, -3*n - 25 = -5*k. Which is bigger: n or -1? n Let q = -83 + 582/7. Suppose 5*c - 4 = c. Let s = c + -2. Which is smaller: q or s? s Suppose -3*i = 2*i - 15. Let j be 4/40*(27 + 1). Let n = i - j. Which is smaller: n or 0? 0 Suppose -4*o = -0 - 8. Suppose -o*w + 1 = 5. Let n = w + 3. Is n >= 0? True Let r(c) = c**3 - 4*c**2 - 7*c + 10. Let k be r(5). Let j(a) = -a**2 - a. Let y be j(k). Which is smaller: y or -2/11? -2/11 Let r = -0.23 - -0.13. Is r != 4? True Let f = 3 - 5. Let y = 1 + f. Which is greater: y or -3? y Let j = -0.04 - 0.26. Is 3 not equal to j? True Let q = -16 + -5. Let y be (-30)/(-7) + 6/q. Suppose r = y*t, 4*t = -t. Is r equal to -2/21? False Suppose 2*o + 0*o = 2. Is 2/5 less than o? True Let c(b) = b - 8. Suppose 5*a = 15, -a - 9 = -3*w - 2*a. Suppose -3*h + w*d = -8*h + 20, -2*d - 40 = -5*h. Let f be c(h). Is -2/3 less than or equal to f? False Suppose 3*s + 4813 - 1477 = 0. Let i be 6/(-10) - s/1720. Is -1 < i? True Suppose 0*v = v - 5. Suppose v*t = 4*t. Let k be ((-1)/(-3))/((-8)/(-12)). Which is smaller: t or k? t Let t be -5 + (-16)/(-4) + 0. Is 1 greater than or equal to t? True Let t be 0 + (0 + 0)/(-3). Suppose v + 0*v = t. Is v at least -1/6? True Let p be -3*(-6)/9 - 0. Suppose 0*l + 2*l + p*o = -8, 0 = -4*l + 3*o + 12. Suppose 3*u = -l*u. Which is bigger: u or -1/2? u Suppose -8 = -3*s - 2. Let r be (8/10)/(1/5). Suppose -14 = -r*y - b, -s*y + 3*b - 3 = -y. Which is smaller: 2 or y? 2 Let k = -5.5 - 1.5. Let h = k + 7.1. Is h at most 7? True Let x = -4 - -2. Is x greater than 4? False Let c(f) = 7*f + 3. Let g(l) = 6*l + 4. Let v(j) = 5*c(j) - 6*g(j). Let q be v(-10). Suppose p + q = -0*p. Which is smaller: p or 0? p Let j be (28/42)/((-2)/3). Do -2 and j have different values? True Suppose -y = 3*y. Suppose r - 4*r - k = -2, r + 6 = 3*k. Suppose f = -r*f. Is y less than or equal to f? True Let n = 70 - 351/5. Let d be -5*(3 - (-52)/(-20)). Let u be d/4 + (-3)/(-14). Which is greater: u or n? n Let y be (-33)/55 + (-4)/10. Is y not equal to 2/11? True Let f(a) = -a + 10. Let x(k) = 3*k + 7*k**2 + 0*k - k - 1. Let d be x(1). Let g be f(d). Which is smaller: g or 0? 0 Let j(k) = k - 9. Let q be j(7). Let s(b) = 2*b + 1. Let m be s(-1). Let r be ((-1)/3)/(m/(-2)). Which is smaller: q or r? q Let h(k) = 2*k + 3. Let u be h(-2). Let b = 10 + -9.7. Which is bigger: u or b? b Let p be 2/(-8)*80/104. Let i = -127/390 - p. Which is greater: i or 0? 0 Let g(t) = -t**3 + t**2 - t. Let d be g(2). Let w = d + 3. Let l be (-4)/3*(-3)/(-2). Do l and w have the same value? False Let s = 494/737 + 16/67. Is s at least as big as 0? True Suppose 0 = 5*l + 4*a - 4, 0 = 4*l - 7*l + 5*a - 5. Let y be 13/(-24) - (-2)/3. Which is bigger: y or l? y Suppose -26 = -2*z + 24. Are 25 and z nonequal? False Let k be (-96)/(-351) - (-2)/(-9). Which is smaller: 1 or k? k Let o = 0.7 - 0.88. Is o at most as big as 0? True Let q = -40 + 39.8. Is q < -2? False Let t = -877/7 + 125. Which is greater: t or -2/5? t Let w(x) = x**2 + 6*x - 4. Let b be w(-6). Let v be -9*(b + 1)/(-9). Suppose 2*p = 4*p + 4. Which is smaller: p or v? v Let u be (-69)/105 - (-4)/5. Which is bigger: u or 2/7? 2/7 Let b = -1027/9 - -114. Suppose 0 = 5*h - 4*g - 40, 5*g - 2*g = -2*h - 7. Suppose 3*s - h*s - 1 = 2*x, 3*x = 4*s + 4. Which is smaller: b or x? b Let n = 3 - 4. Let r be 1 + 2 + n + -1. Are r and 0 equal? False Let b(g) = -5 + g - 1 - 3 + 3. Let o be b(6). Is o < 0? False Let h = -3 + 5. Which is bigger: h or 1/2? h Let b = -0.35 + 0.45. Let x = 3 + -5. Let y = x - -3. Is y less than b? False Let p be ((-6)/(-18))/((-1)/(-3)). Is -3/23 equal to p? False Let m be 4/(-6) + (-7)/(-21). Let l(n) = n**3 - 6*n**2 - 6*n - 6. Let f be l(7). Is f <= m? False Let f(o) = -o**2 - 11*o - 10. Let h be (-98)/10 - 7/35. Let w be f(h). Let l(j) = 3*j - 1. Let a be l(1). Which is smaller: a or w? w Let d(m) = -2*m + 3. Let i be d(5). Let c = 3 + i. Let t = c - -2. Is -3 at least t? False Let j = 10 + -5. Suppose 3*d = -j + 20. Suppose 0 = -5*v - c - 1, -3*v - 28 + d = -5*c. Is v greater than or equal to -2/7? False Suppose 7*g + 5 = 6*g. Let t = g + 2. Which is smaller: t or -1? t Let l = -44 + 44. Which is smaller: 2/175 or l? l Let c = -2/1171 - -16452/33959. Let w = -5782821/203 - -28487. Let u = c - w. Which is smaller: 2/9 or u? 2/9 Let n be (-86)/154 + 20/70. Which is bigger: n or 1? 1 Let b be 9/15 + 86/(-10). Let k(o) = -o**2 - 3*o - 3. Let y be k(-4). Is b smaller than y? True Suppose -g = -3*o - 20, 4*g + g + o - 68 = 0. Suppose -3*r = g + 1. Let v(q) = -q. Let p be v(2). Which is smaller: p or r? r Suppose -1 - 29 = -3*p - 4*n, -9 = 3*n. Is 0 at least p? False Let m(w) = w - 16. Let t(v) = v**3 + 6*v**2 - v + 3. Let k be t(-6). Let l be m(k). Are -6 and l unequal? True Let l(r) = r**2 - 4*r + 8. Let p be l(6). Is 19 at most as big as p? True Let d be (2 + 0)*(-1)/2. Let m be (-48)/4*6/(-8). Suppose -m*a = -6*a. Do d and a have the same value? False Let t be (-28)/(-51) + 2/(-3). Suppose 5*s = 15, -2*m - 3*s + 9 = -7*m. Which is smaller: t or m? t Suppose 2*k + 4*h = -18, 4*h - 1 + 13 = 4*k. Let b be -4 - (-1 + k - 0). Let d be ((b + 1)/(-3))/(-1). Which is smaller: d or 0? d Suppose 26 = 5*y - 2*m, y + m - 17 = -4*y. Is 8 less than or equal to y? False Let r be 1/(4/(-2 - 2)). Is r greater than 4/9? False Let y(k) = -10*k**2 - 7*k + 16. Let d(n) = 3*n**2 + 2*n - 5. Let a(m) = -7*d(m) - 2*y(m). Let g be a(3). Let i = -6 - g. Is i smaller than -2/9? False Let j = 48 - 47. Is 0.44 at least j? False Let m(j) = 10*j - 2. Let u be m(2). Let s = -9 + 19. Suppose 4*h = -c + 4*c + s, u = -c + 5*h. Is c greater than or equal to 1? True Let k = -5 + 4.9. Let g = -51 - -31. Let d = g - -16. Which is greater: k or d? k Let k = -12 + 5. Do k and -5 have different values? True Let d(l) = -l**2 - 4*l - 1. Let u be d(-4). Let i = -497 + 9447/19. Let q = i - 31/57. Is u at least as big as q? False Let p = 207 - 1861/9. Let r(s) be the first derivative of -s**2/2 + 2*s + 2. Let m be r(2). Which is greater: p or m? p Let f = 0.09 + 8.11. Is f at most 2/3? False Let l = 3 + -5. Is -6 equal to l? False Let x = 0.2 + -0.42. Let n = 0.2 + x. Let s = n - -0.12. Does -2 = s? False Let a(p) = 2*p - 16. Let y be a(12). Is 7 at most as big as y? True Let z = -37 - -112/3. Which is greater: -0.4 or z? z Suppose -3*p - 2*z + 0*z + 65 = 0, -4*z + 67 = 3*p. Let x be 28/p - (1 - 0). Which is bigger: x or 0? x Let g(y) = 4*y - 19. Let k be g(5). Which is smaller: -2/165 or k? -2/165 Let i be -1*(-4 + 0 + 2). Which is greater: 5 or i? 5 Let g = 13 + -13. Is g greater than or equal to 2/17? False Suppose 0 = -5*y + 8*y + 15. Which is greater: y or -10? y Suppose -v - 4 + 5 = -3*g, -4*v + 4 = -2*g. Is -2 < v? True Let h(z) = z**3 + 3*z**2 + z - 2. Suppose 2*o = -3*o - 10. Let p be h(o). Is p at most as big as -1? False Let d = -12.03 + 12. Which is bigger: 1 or d? 1 Let o = -4 - -11. Suppose o*d = 4*d + 3. Let s be 13/(-20) - (-8)/20. Does s = d? False Let k(p) = -p**2 - 5*p - 3. Let g be k(-2). Suppose -x - g*f = -23, 4*f = f + 9. Let j be (-4)/x - (-24)/42. Which is smaller: j or 2/5? j Let l be 6/(-12)*1*2. Do 3/73 and l have different values? True Let x = 0 + -0.04. Let t = 0.06 - x. Is -1 >=
{ "pile_set_name": "DM Mathematics" }
= -2*z + 1. What is d*r(p) + h(p)? -p + 1 Let s(k) = -879*k - 6. Let x(o) = 10*o - 2. Give s(u) - 3*x(u). -909*u Let l(v) = 9*v + 5. Let s(j) = 3045*j + 33497. Let d be s(-11). Let w = 2 - 7. Let r(c) = 5*c + 2. Calculate d*l(i) + w*r(i). -7*i Let p(b) = b + 1. Let q(r) = r**3 - 7*r - 7. Suppose 524 = 2*x + 4*k, 2*x = -k - 150 + 665. Let u = -214 + x. Calculate u*p(v) + 6*q(v). 6*v**3 Let q(s) = s - 1. Let l(k) = -2 + 68*k - 28*k**2 - 21*k - 45*k. Calculate l(v) - 2*q(v). -28*v**2 Let i(g) be the second derivative of g**3/6 + 1118*g. Let a(l) = 8*l + 11. Calculate -a(u) + 5*i(u). -3*u - 11 Let x(q) = 144*q - 6. Let t(n) = 35 + 41 - 113 + 36 + 29*n. Determine 16*t(p) - 3*x(p). 32*p + 2 Let s(o) = o**2 + 2. Suppose -5*m + 5*u = -3*m + 7, 5*u - 15 = 0. Let x = -64 + 74. Let d(y) = -x + 1 - 3*y**2 - 2*y**2. Determine m*d(c) + 18*s(c). -2*c**2 Let v(a) = -20*a**3 + 54*a. Let o(b) = -28*b**3 + 54*b. What is -3*o(j) + 2*v(j)? 44*j**3 - 54*j Let v(t) = 17 - 5*t - 18 + 8*t - t. Let n(s) = 3*s. Give 3*n(c) - 4*v(c). c + 4 Let i(o) = -37*o - 588. Let g(a) = -13*a - 197. What is 17*g(f) - 6*i(f)? f + 179 Let k(g) = 1. Let i(j) be the first derivative of -5*j**2 + 14*j + 2439. Determine -i(d) + 12*k(d). 10*d - 2 Let a(u) be the second derivative of -u**4/6 + u**3/2 - 2*u**2 + 2*u + 2968. Let i(m) = m**3 - 3*m**2 + 3*m - 4. Determine 3*a(n) - 2*i(n). -2*n**3 + 3*n - 4 Let u(c) = 2*c + 20. Let n(y) = 3*y - 1. Give 6*n(h) - 2*u(h). 14*h - 46 Let k(f) = -f**3 - 1. Let h = -13857 + 13858. Let r(i) = -7*i**3 + i**2 + i - 5. Give h*r(d) - 3*k(d). -4*d**3 + d**2 + d - 2 Let l(b) = 58*b - 472. Let c(a) = -41*a + 315. Calculate -7*c(z) - 5*l(z). -3*z + 155 Let q(c) = c**3 + 4*c**2 - 19*c - 70. Let r be q(-3). Let n(h) = -4*h**3 + h**2 + 5. Let a(i) = 5*i**3 - 2*i**2 - 6. Calculate r*n(j) - 3*a(j). j**3 + 2*j**2 - 2 Let b(p) = -2277*p**3 - 5*p**2 - 34*p - 10. Let f(u) = 9107*u**3 + 19*u**2 + 130*u + 38. Give -19*b(y) - 5*f(y). -2272*y**3 - 4*y Let n(z) = 14*z + 20. Let p(r) = -54*r - 89. Give 9*n(c) + 2*p(c). 18*c + 2 Let g = -119832 + 119833. Let t(u) be the third derivative of -u**5/10 - u**4/6 - u**3/6 + u**2. Let j(k) = k**2. Calculate g*t(q) + 5*j(q). -q**2 - 4*q - 1 Let p(s) = 24*s**2 - 8*s + 5. Suppose -6*c = -5*c - 4*f - 15, 3*c = 4*f + 21. Let i(w) = 8*w**2 - 3*w + 2. Calculate c*p(n) - 8*i(n). 8*n**2 - 1 Let c(o) = 7*o + 6. Suppose -33 = 5*x + 2. Let r(p) be the first derivative of 4*p + 4*p**2 + 5 + 11 + 6 + 3*p. Calculate x*c(k) + 6*r(k). -k Let q(l) = -l**3 + 6*l**2 + 56*l - 260. Let b be q(4). Let n(k) = -7*k**3 + 124*k - 9. Let i(j) = -3*j**3 + 62*j - 4. Calculate b*n(y) + 9*i(y). y**3 + 62*y Suppose 0 = -59*a + 37*a + 528. Suppose a*g = 19*g - 5. Let d(n) = -n**3 + n**2 + n + 1. Let o(h) = 11*h**3 - 6*h**2 - 6*h - 6. Determine g*o(t) - 6*d(t). -5*t**3 Suppose 4*v - 18 = -3*y, -2*v + 80 = 5*y + 64. Let j(z) = 20*z**3 + 5*z**2 - 8. Let s(d) = 10*d**3 + 3*d**2 - 4. Give v*j(x) - 5*s(x). 10*x**3 - 4 Let k = 1588 - 1571. Let s(l) = -230*l + 17. Let v(y) = -77*y + 6. Calculate k*v(d) - 6*s(d). 71*d Let a(m) = 11*m**3 - 23*m**2 + 2*m + 17. Let p(h) = -157*h + 1112. Let u be p(7). Let f(k) = -5*k**3 + 11*k**2 - k - 8. What is u*f(y) + 6*a(y)? y**3 + 5*y**2 - y - 2 Let r = -377 - -372. Let s(x) = -2*x**2 + 3. Let v(q) = -20 + 4 + 1 + 16. Calculate r*s(j) + 15*v(j). 10*j**2 Let o(i) = 107*i. Let u(l) be the second derivative of 1275*l**3 - 467*l + 1. Determine 357*o(f) - 5*u(f). -51*f Let j(v) = 12*v**2 - 7*v + 19. Let h(s) = 12*s**2 - 5*s + 22. Determine 6*h(x) - 7*j(x). -12*x**2 + 19*x - 1 Let f be 2/4 + (-69)/(-6). Let r(w) = -52*w**2 + 12*w. Let g(z) be the second derivative of 7*z**4/4 - 5*z**3/6 - 4431*z. What is f*g(u) + 5*r(u)? -8*u**2 Let z(w) = w + 20. Let r(o) = 19*o - 14*o - 8*o - 3653 + 3593. Calculate -4*r(p) - 11*z(p). p + 20 Let x(b) = -65*b + 31*b + 14 + 18*b. Let f(j) = -5*j - 37. Let y(i) = 5*i + 51. Let a(c) = -4*f(c) - 3*y(c). Determine -11*a(g) - 4*x(g). 9*g - 1 Let p(t) be the third derivative of 0*t**4 + 0*t + 1/30*t**5 + t**2 + 1/3*t**3 + 23. Let c(a) = 2*a**2 + 2. Give -6*c(x) + 5*p(x). -2*x**2 - 2 Let i(u) = 3*u + 3. Suppose 0 = k - 6*k + 35. Let w(n) = 11*n + 10. Let f(o) = k*i(o) - 2*w(o). Let l(s) = -1. Determine -f(h) - 4*l(h). h + 3 Let g(s) be the third derivative of s**6/120 + s**5/30 + s**4/6 + 7*s**3/6 - s**2 + 439*s. Let v(k) = 3*k**3 + 5*k**2 + 11*k + 20. What is -11*g(m) + 4*v(m)? m**3 - 2*m**2 + 3 Let t(h) = 14*h - 431. Let z(y) = -18*y + 429. Give -5*t(u) - 4*z(u). 2*u + 439 Let f(t) = 1. Let k(v) = 53*v**2 - v - v - 5 - 55*v**2. Let g = -633 - -399. Let h be 4 + 1908/g + (-4)/(-26). What is h*f(n) - k(n)? 2*n**2 + 2*n + 1 Let t(o) = -o + 1. Suppose -4*n - 4 = 0, 4*h - 5*n = -8 + 41. Suppose 0 = a + 8 - h. Let v(w) = 2*w**2 + 5*w - 8. What is a*v(b) - 5*t(b)? -2*b**2 + 3 Let m(w) = w**2 + 9*w + 46. Let x(h) = -7*h**2 - 62*h - 319. Let k(y) = -41*m(y) - 6*x(y). Let r(b) = b. Calculate -k(t) + 2*r(t). -t**2 - t - 28 Let m(c) = 10095635*c**2 + 8954. Let f(w) = 4511*w**2 + 4. Calculate 4477*f(i) - 2*m(i). 4477*i**2 Let w(n) = -29*n**2 - 2*n - 17. Let t(z) = 3*z**2 + 1. Give 2*t(v) + w(v). -23*v**2 - 2*v - 15 Let b(m) = 8. Let s(y) = 2*y - 668. Calculate -4*b(q) + s(q). 2*q - 700 Let z(u) = -1. Let v = -2184 - -2186. Let b(l) = 5*l**2 + 4*l + 2. Calculate v*z(g) + b(g). 5*g**2 + 4*g Let d = -7845 - -7848. Let s(v) be the third derivative of -v**4/8 + 2*v**2. Let t(l) = -3*l. Calculate d*t(b) - 4*s(b). 3*b Let r(k) = -36*k**3 + 14*k**2 - 14*k - 14. Let h(y) = -7*y**3 + 3*y**2 - 3*y - 3. Suppose 4*w - 5*o = -81, 4*w = -90*o + 89*o - 51. What is w*h(m) + 3*r(m)? -10*m**3 Let l(q) = -2*q**2 - 3*q + 3. Let r(t) be the third derivative of t**3/6 + 871*t**2 - 4. Determine l(y) + 4*r(y). -2*y**2 - 3*y + 7 Let c be (-1 - -4)/((-1)/(7/(-3))). Let l be (c - (8 - 2))*3. Let h(d) = 4*d**2 + 5*d. Let i(v) = 2*v**2 + 3*v. Determine l*h(k) - 5*i(k). 2*k**2 Let q(h) = -13*h**2 + 23*h - 7. Let a(m) be the second derivative of 7*m**4/12 - 2*m**3 + 2*m**2 - m + 794. Give -11*a(l) - 6*q(l). l**2 - 6*l - 2 Let c(g) = -6*g**3 - 3*g**2 + 3*g - 3. Let l = 88 + -90. Let i be 54/3*(-2)/(-12)*l. Let z(b) = 5*b**3 + 2*b**2 - 2*b + 2. Determine i*z(v) - 4*c(v). -6*v**3 Suppose -930 = -8*q - 1034. Let b(w) = -7*w - 12. Let s(m) = 15*m + 25. Calculate q*b(t) - 6*s(t). t + 6 Let h(l) = 5*l + 20. Let u(p) = -6*p - 21. Let q be -1*((-80)/38 + 156/1482). What is q*u(w) + 3*h(w)? 3*w + 18 Let y(u) = -135. Let i(b) = -49. Let c(p) = -11*i(p) + 4*y(p). Let k(m) = -m**2 - 3*m - 3. Let r be (-8)/6 - (-2)/(-3). Give r*c(z) + k(z). -z**2 - 3*z - 1 Let j(b) = 8*b - 3. Let l(o) = 39*o + 766. Calculate -10*j(q) + 2*l(q). -2*q + 1562 Let i be (-8)/(-32) + (-1)/4. Suppose i = u - 3*u + 4. Let t(p) = -3*p**2 - 4*p - 28 + 25 + 2*p. Let k(q) = -10*q**2 - 7*q - 10. Calculate u*k(r) - 7*t(r). r**2 + 1 Let h(o) = -776*o**3 + 25*o**2 + 187*o. Let n(w) = -259*w**3 + 8*w**2 + 59*w. What is 6*h(d) - 19*n(d)? 265*d**3 - 2*d**2 + d Let n(k) = -k**3 - k + 1. Suppose 334*u - 337*u = -3*x + 12, 11 = -4*x - 5*u. Let w(v) = -7*v**3 - 2*v**2 - 6*v + 3. What is x*w(m) - 6*n(m)? -m**3 - 2*m**2 - 3 Let w(b) be the third derivative of -b**4/24 - 643*b**2. Suppose 2*x = 5*x. Let u(d) = -3*d + 0 - 3 + x + 4. Calculate u(k) - 6*w(k). 3*k + 1 Let g(n) be the third derivative of n**4/8 - n**3/3 - 866*n**2. Let q(w) = 2*w - 1. Give 5*g(i) - 7*q(i). i - 3 Let x(p) = -4*p + 20. Let o(i) = 2. Give 16*o(h) + x(h). -4*h + 52 Let o(p) = -357. Let z(b) = -4106. Let x(d) = 23*o(d) - 2*z(d). Let f(t) be the third derivative of -t**4/24 + t**3 - 2*t**2. Give -2*f(l) + 10*x(l). 2*l - 2 Let m(s) = -s + 9. Suppose -p - 14 + 2 = -v, 5*p - v = -52. Let i(u) = -u + 5. What is p*i(o) + 6*m(o)? 4*o + 4 Let m(q) = 241*q**2 + 31*q - 16. Let z(k) = -90*k**2 - 16*k + 7. What is -2*m(y) - 5*z(y)? -32*y**2 + 18*y - 3 Let n(b) = -b**2 + 5*b - 2. Suppose -314*o - 3*w = -315*o - 15, 0 = -3*o + 2*w - 17. Let z(k) = -6*k + 3. Give o*n(u) - 2*z(u). 3*u**2 - 3*u Let r(f) = -29*f**2 - 19*f - 4. Let v(x) = -15*x**2 - 9*x - 3. Give -4*r(t) + 9*v(t). -19*t**2 - 5*t - 11 Let g(p) = 8*p**2 - 5*p - 7. Let c(t) = -442*t + 2647. Let y be c(6). Let w(z) = -11*z + 12*z**2 - 2 + 4*z - 8. Determine y*w(r) + 7*g(r). -4*r**2 + 1 Let y(h) =
{ "pile_set_name": "DM Mathematics" }
f (3/9)/((-154)/264)? -4/7 (-510)/100*2 + 10 -1/5 Calculate 9/10*(-200)/(-120). 3/2 What is the value of (-6)/(-12)*-4*4/(-44)? 2/11 What is (3/54)/(28/(-8) + 3)? -1/9 What is the value of (65/(-26))/((-93)/(-36) - 3)? 6 What is the value of (-84)/147*(-7)/2? 2 What is the value of 5/(-8) + ((-984)/64 - -15)? -1 Evaluate (-3)/30 - (-8)/400*5. 0 2/(-7)*(-36)/(-24) -3/7 What is the value of -3 + (5/2 - 30/(-36))? 1/3 What is ((-40)/90)/1 + 3/9? -1/9 78/(-130) + 14/(-10) - -6 4 Evaluate (-4 + 498/126)/(2/(-6)). 1/7 Evaluate (2/21)/(-14 - (-800)/60). -1/7 What is the value of ((-28)/(-42))/((-7)/(-6))? 4/7 Evaluate (12 + -14)*(-5)/10. 1 Evaluate ((-30)/8)/((-219)/(-292)). -5 (2 + -19 - -10) + 7 0 Calculate (12/(-10))/((-189)/30 - -6). 4 What is (1/5)/((-10)/25)*1? -1/2 What is 5/(3/(-3)) - (-5 + 0)? 0 What is 2 + (-51)/24 + 165/360? 1/3 138/23 - 305/50 -1/10 Evaluate 6/18*18/(6 - 9). -2 What is the value of (-63)/18*(-3)/42? 1/4 Evaluate 5 + (3 + 0 - 8). 0 Evaluate 2/70*-6 - (-12)/(-30). -4/7 Calculate 6 - ((-493)/(-4))/17. -5/4 -4 - (-2)/(-1) - (-11 - -7) -2 2/(-8) - 3132/464 -7 (-18)/(-165) + (-4)/(-44) 1/5 What is (26 + -26)/((-3)/1)? 0 What is the value of (-12 - (-7 - -3)) + 1? -7 Evaluate 57/84 - (-2)/(-8). 3/7 Calculate (0 - 6/15) + (-27)/(-5). 5 Evaluate (-5)/4 + 6 + -14 + 9. -1/4 What is the value of ((-3)/9)/(4 + (-20)/6)? -1/2 Evaluate 24/(-45)*(-15)/18. 4/9 What is the value of (6 + (-352)/60)*-1? -2/15 (-17)/(-85) - (-8)/10 1 What is 24/(-16) + (0 - -2)? 1/2 Evaluate 1*26/4 + 5/10. 7 Calculate 5/(25/10) - (1 + -2). 3 15/2*12/(-18) -5 Evaluate -50*(-21)/210 - 62/12. -1/6 What is the value of -1 + (12/20 - -1)? 3/5 What is 2 + 4/14 + (-352)/56? -4 What is -10 + 14 - (158/20 - 4)? 1/10 What is the value of 18/(-6) + 9/4? -3/4 What is 4*3*(-7)/252? -1/3 What is the value of (-10 + 1316/126)/(-3 + 1)? -2/9 (-4)/34 + (1284/(-357) - -4) 2/7 Evaluate (-1)/3*2/(-2)*-1. -1/3 What is (-1 - -10)*(-71)/(-639)? 1 What is the value of ((-15)/60)/(90/(-16))*5? 2/9 What is (11 + (2 - 1))*(-2)/28? -6/7 (5 - 8 - 4/(-2))/8 -1/8 Calculate 1/30*13 - (-4)/(-12). 1/10 What is the value of 40/55*(-12)/(-48)? 2/11 What is 0 + -1 - 2/((-4)/(-6))? -4 Evaluate (-1)/(-1)*1 - 432/(-54). 9 Calculate ((-10)/(-150))/((-1)/(-2)). 2/15 What is the value of ((-44)/6 + 6)/(1/3)? -4 What is ((-6)/(-36))/(0 + (-4)/12)? -1/2 Calculate 3 + 2 + 1 + -5 - 2. -1 -2 + -1 + (-13 + 12 - -11) 7 Calculate (-4)/10 - (234/65 + 2). -6 What is the value of 44/36 + (-12)/54 + -2? -1 (-9)/3*(-7)/21 1 What is 80/12 + (12 - 18)? 2/3 What is the value of (-1 + 3)/(2*5)? 1/5 What is the value of (3/4)/(4/32)? 6 -3 + ((-1)/(-2))/((-3)/6) -4 What is the value of (5 - (-85)/(-15))/(6/27)? -3 What is the value of (-418)/228 + (-1)/6? -2 Evaluate (-1)/(4 - 15/(-10)). -2/11 Calculate -1 + 0 + (-29)/(435/(-90)). 5 What is -3*(-4 + ((-1295)/45)/(-7))? -1/3 What is (8/26)/(286/1859)? 2 What is the value of (-7 + 12)*1/(-2)? -5/2 12/9*(-27)/(-12) 3 What is (-6 + 6)/(3 - 1)? 0 (-6)/4 + 231/210 -2/5 Evaluate 1*(-2 - -1)/((-5)/(-5)). -1 (8/(-18))/((-10)/1485*11) 6 60/(-24) - 2/(-4) -2 Evaluate (-63)/9*5/(-10)*2. 7 Calculate 5*10/(-25) + 3. 1 (1/(-6))/(0 - (-6)/4) -1/9 What is the value of 4*1 + (-126)/30? -1/5 Evaluate (207/230)/((-12)/10). -3/4 What is (21 - 16)*(-63)/(-35)? 9 28/(-12)*-3 + -5 2 What is the value of 15/(-35) - (52/(-7) + 3)? 4 Calculate -13 + 16 + (14/(-3))/2. 2/3 (4*(-2)/15)/((-2)/3) 4/5 What is (-1 - 1)/(48/(-96))? 4 Evaluate 4/(-11)*((-20)/8 + 3). -2/11 What is the value of (-14)/(-21) + (-52)/(-12)? 5 Evaluate (4/170)/(13/(-65)). -2/17 What is the value of 18/3*3/6*1? 3 (((-4)/(-9))/4)/((-68)/(-102)) 1/6 Evaluate 0*(-48)/(-216)*(-9)/4. 0 What is (-1)/10*(3 + -5)? 1/5 Calculate -9 + 4 - ((-54)/(-24) - 7). -1/4 Calculate (0 + (-1)/3)/((-1)/(-9)). -3 Calculate (-3 - 0) + 9*408/1188. 1/11 Evaluate (8/20)/(1 - 4/5). 2 Evaluate 3 + 3 + -1 + (-288)/56. -1/7 What is (-39)/21 - (-6)/(-24)*-8? 1/7 Calculate (1/((-7)/2))/((-4)/(-6)). -3/7 Evaluate (-4)/(1 - -1) - (0 - 7). 5 What is 6 + (-3 - 8)/(-11)? 7 What is 2/(-15) - 276*11/(-495)? 6 Calculate (44 - 45)*(-6)/(2 + -1). 6 What is (-7936)/806 - 10*-1? 2/13 Evaluate 10/(-6)*(-5 - 970/(-200)). 1/4 Evaluate (36/5 - 7)/((-12)/30). -1/2 Evaluate 1*-7 + 16/4 + -2. -5 ((-84)/(-105))/((-4)/(-10)) 2 Evaluate 13/2 - 1484/212. -1/2 (2 - (-52)/(-20))*2 - -1 -1/5 (7 + -4)*(-4)/42 -2/7 ((-16)/6)/(28/(-42)) 4 What is the value of (-6)/(-4)*(-6)/(-72)? 1/8 What is the value of ((-7 + 1)/3)/18? -1/9 (-1)/4*(-10)/20*8 1 What is the value of ((-32)/(-24) - 2)/((-10)/135)? 9 What is (-18)/12*(-2)/((-1)/1)? -3 What is (6*(-6)/(-63))/1? 4/7 Evaluate 4/6 + 2016/(-2376). -2/11 Calculate ((-301)/86)/(2/4). -7 What is (-5)/4*((23 - 3) + -22)? 5/2 (-1 - 1)/(-6)*-3 -1 What is the value of 1/3*144/(-128)? -3/8 Evaluate 16/(-40)*(-10)/(-18). -2/9 Calculate (7 - 22 - -14)/(2 + -1). -1 Calculate (2 + -1)/(5/(-15)). -3 What is 0 + ((-13)/(-39) - 1/2)? -1/6 -2 + (-78)/30 + 4 -3/5 Calculate 8 + 30/(15/3) + -9. 5 Evaluate 4/10 + (3 - (-174)/(-60)). 1/2 What is 15/30*3/(-4)? -3/8 What is -5 + (5 - 0/7)? 0 (-4)/(-18) - 40/18 -2 (-3 + (-462)/(-150))/1*10 4/5 Calculate ((-1)/(10/(-15)))/(45/40). 4/3 What is the value of ((-72)/(-27))/((-2)/3)? -4 ((-125)/75)/(2/(-12)*-2) -5 What is 6 - 3/1 - (3 + 4)? -4 1/(6/9) - 660/120 -4 Calculate 35/75 - (-5)/15. 4/5 Evaluate (4/56)/((-22)/(-352)). 8/7 Calculate -5 + (-19 - -6 - -27). 9 What is the value of (-1)/(-4) + (-12)/24? -1/4 Calculate 42/(-4)*100/(-150). 7 Calculate -2*1/6 - (-49)/273. -2/13 8*-1*1*2/4 -4 What is the value of (-228)/(-60) + 1 - (0 - -4)? 4/5 What is (-4)/6*15/70? -1/7 What is the value of (-16 + 16)*2/(-4)? 0 What is the value of (-114)/1596*-1*(-7)/(-3)? 1/6 What is (497/98 - 5)*-4? -2/7 What is the value of (-72)/27*(-6)/(-4)? -4 Calculate (-2 + 18/15)*5/2. -2 Evaluate ((-10)/(-20))/(3/(-6))*-1. 1 What is (-25)/3*(-3 + 36/15)? 5 What is 1/(-3) - 253/33? -8 Evaluate 9/18 - (1 + (-2)/(-12)). -2/3 What is (-136)/(-378) + (-16)/216? 2/7 Calculate 3/(-9)*(-4 + 152/32). -1/4 Calculate (-28)/21 - (-6)/(-18). -5/3 (9*10/45)/((-1)/1) -2 (-3)/8 - (-4 - 24/64) 4 6 - 1 - ((-27)/12 - -7) 1/4 Calculate (-2)/(-4) - 56/16. -3 Evaluate (1/(-3))/((-4)/36). 3 6/(-5)*(-21)/(441/(-70)) -4 What is the value of 4/8*(-8)/(-4)? 1 What is 6/9 - 279/135? -7/5 Calculate 208/224 + (-3)/(-42). 1 Calculate (-18)/42 - 18/(-42). 0 Calculate 0/((-3 - -4) + -3). 0 What is 51/(-204)*(0 + (-12)/10)? 3/10 8/(-6) + 6/(54/(-15)) -3 What is (-256)/(-364) + 23/((-4186)/(-28))? 6/7 What is (-1*(19 + -9))/(-2)? 5 22/(-6) - (-20)/4 4/3 Calculate ((-3)/24)/(1/2). -1/4 ((-198)/(-924))/((-36)/(-14)) 1/12 Evaluate 75/(-30) + (-51)/(-30). -4/5 What is (-68)/10 + (-15)/(1875/(-100))? -6 What is the value of (-6)/3 - (-1)/(-1)? -3 Evaluate 90/(-24)*(-60)/(-45). -5 Calculate ((-4)/5)/((72/(-20))/3). 2/3 Calculate 22/1210 - -1*2/(-10). -2/11 What is the value of (-135)/891 + 2/6? 2/11 -6*(6 - 3)/(-2 - -5) -6 -2*1*(-3)/(-18) -1/3 What is (-2)/9 + 576/1134? 2/7 Calculate ((-5)/(-10)*1)/(8/12). 3/4 What is ((-84)/35)/1 + 3? 3/5 (-2)/3*(2 - (-77)/(-28)) 1/2 What is the value of ((-32)/20 - -1)/((-8)/10)? 3/4 Calculate (-60)/(-144) + (-3)/4. -1/3 What is the value of -4 - (-5)/((-10)/(-16))? 4 Evaluate 77/33 + 2/(-6). 2 What is 28/10*(-110)/(-44)*1? 7 What is the value of 4*(-10)/80*5? -5/2 What is (-6)/(11 - 8) + 4? 2 Calculate (-56)/(-10) + -2 - 3. 3/5 What is (-22)/(-5) + 4*-1? 2/5 ((-9)/63)/(2/(-70)) 5 87/(-203) + (-2)/(-70) -2/5 (107 - 106) + (-5)/7 2/7 Evaluate (32/(-64))/(2/(-4*1)). 1 3 + 1*(-6)/(-3)*-5 -7 Evaluate 6/(-32)*(-2)/3. 1/8 What is -2 - (-1 - (2 - 4))? -3 What is (8/(-6))/(-2) + (-5)/(-15)? 1 (-2)/(3 - 38*(-1)/(-6)) 3/5 What is (169/(-13))/(-13)*-5? -5 420/(-112) + ((-2)/8 - 0) -4 (-22)/(-4) + -3 - 3 -1/2 What is the value of 3*(-2)/12*-4? 2 Evaluate -4 - -5 - 0/3. 1 What is the value of 51/60 + (-22)/88? 3/5 9 - (85/5 - 2) -6 Calculate (-5)/30 - 4/(-1 - -49). -1/4 Evaluate 6/4 + 30/60. 2 What is 4/(108/51) - 2? -1/9 Evaluate (25/(-500))/(((-32)/60)/(-4)). -3/8 Evaluate (1287/18)/11 - 8. -3/2 What is (-6)/(-54) - 48/(-54)? 1 Evaluate 6 - (-152)/48*-2. -1/3 Calculate 0 + -1 + (-3 - 13) + 17. 0 1*(-1)/(-35)*(-5 - -10) 1/7 What is the value of (-28)/(-36) +
{ "pile_set_name": "DM Mathematics" }
0, -1, 0 Factor 2*u**2/5 + 298*u/5 - 5644/5. 2*(u - 17)*(u + 166)/5 Factor m**3 - 627*m**2 - 628*m. m*(m - 628)*(m + 1) Factor 57*c**4/5 - 69*c**3/5 - 306*c**2/5. 3*c**2*(c - 3)*(19*c + 34)/5 Factor 4*k**3/5 - 3056*k**2/5 + 3053*k/5 - 763/5. (k - 763)*(2*k - 1)**2/5 Determine v so that -v**3 + 177*v**2 - 1512*v = 0. 0, 9, 168 Factor -6*o**4/11 - 6024*o**3/11 + 36288*o**2/11 - 72672*o/11 + 48480/11. -6*(o - 2)**3*(o + 1010)/11 Solve 36*f**5 + 496*f**4 + 1328*f**3 - 320*f**2 = 0. -10, -4, 0, 2/9 Solve -k**4 + 33*k**3 + 312*k**2 + 656*k = 0. -4, 0, 41 Factor -72*t**4 + 37000*t**3 + 37006*t**2/9 + 1028*t/9. -2*t*(t - 514)*(18*t + 1)**2/9 What is k in 4*k**3/9 - 374*k**2/3 - 3994*k/9 + 568 = 0? -9/2, 1, 284 Factor 2*p**4 + 62650*p**3 - 375948*p**2 + 751928*p - 501296. 2*(p - 2)**3*(p + 31331) Let -5*h**3 - 2395*h**2/2 - 2380*h - 2375/2 = 0. Calculate h. -475/2, -1 Find y such that 4*y**4 - 99*y**3 + 647*y**2 - 1308*y + 756 = 0. 1, 2, 6, 63/4 Solve y**3/4 - 142*y**2 + 2259*y/4 - 423 = 0 for y. 1, 3, 564 Find y such that -2*y**2/5 + 424*y - 18918/5 = 0. 9, 1051 Suppose -q**5/3 + 860*q**4/9 + 11071*q**3/9 - 2164*q**2/9 - 22772*q/3 + 4784 = 0. Calculate q. -12, -3, 2/3, 2, 299 Factor 2*w**3 - 12976*w**2 + 194218*w - 181244. 2*(w - 6473)*(w - 14)*(w - 1) Solve 385*n**4 + 572120*n**3 - 2278585*n**2 + 1661380*n + 44700 = 0. -1490, -2/77, 1, 3 Factor 4*s**3 + 81296*s**2 - 162608*s. 4*s*(s - 2)*(s + 20326) Let 4*d**3 + 2188*d**2 + 361760*d + 16086896 = 0. Calculate d. -238, -71 Factor -5*w**3 + 485*w**2 + 10350*w. -5*w*(w - 115)*(w + 18) Find a such that -49*a**5 + 70*a**4 + 444*a**3 + 232*a**2 + 32*a = 0. -2, -2/7, 0, 4 Determine l, given that -2*l**5 - 332*l**4 - 3428*l**3 - 2552*l**2 + 36694*l - 30380 = 0. -155, -7, 1, 2 Solve -2*w**3/3 + 2998*w**2/3 + 6004*w/3 = 0 for w. -2, 0, 1501 Let 1083*r**4 - 20423100*r**3 - 22574106*r**2 - 2206500*r - 56577 = 0. Calculate r. -1, -1/19, 18859 Factor -5*c**3 + 119060*c**2. -5*c**2*(c - 23812) Suppose 2*s**3/19 - 3780*s**2/19 + 327046*s/19 + 669228/19 = 0. Calculate s. -2, 93, 1799 Determine h so that 2*h**4 - 13030*h**3 - 707508*h**2 - 12758472*h - 76620816 = 0. -18, 6569 Solve -2*h**2 - 5396*h + 258030 = 0 for h. -2745, 47 Factor -w**2 + 17996*w - 80964004. -(w - 8998)**2 Let 1156*p**4 + 850*p**3 + 152*p**2 + 8*p = 0. What is p? -1/2, -2/17, 0 Factor -3*s**4 - 159*s**3 + 2430*s**2 - 9396*s + 7128. -3*(s - 6)**2*(s - 1)*(s + 66) Determine z so that -z**4 + 224*z**3 - 12190*z**2 - 103008*z + 7084575 = 0. -23, 25, 111 Factor 16*x**4 + 1784*x**3 + 45969*x**2 - 213444*x. x*(x - 4)*(4*x + 231)**2 Suppose -3*d**2/8 + 363*d/4 - 870 = 0. Calculate d. 10, 232 Factor -2*r**3/7 - 348*r**2/7 - 3006*r/7 - 5940/7. -2*(r + 3)*(r + 6)*(r + 165)/7 Factor -4*t**5/3 - 656*t**4/3 - 11676*t**3 - 201096*t**2. -4*t**2*(t + 38)*(t + 63)**2/3 Suppose 2*t**3 + 61920*t**2 + 479260800*t = 0. Calculate t. -15480, 0 Factor -4*a**2 + 7588*a - 1048200. -4*(a - 1747)*(a - 150) Find p, given that -972*p**4 - 19386*p**3 - 386643*p**2/4 = 0. -359/36, 0 Find w, given that -4*w**2 + 39436*w + 118344 = 0. -3, 9862 Let o**5 - 229*o**4 + 14607*o**3 - 160643*o**2 - 587644*o - 412164 = 0. Calculate o. -2, -1, 18, 107 Factor -2*c**2/9 - 418*c/3 - 2500/9. -2*(c + 2)*(c + 625)/9 Factor 6*g**2/5 - 1745304*g/5 + 126920252184/5. 6*(g - 145442)**2/5 Factor 69*z**4 + 2112*z**3. 3*z**3*(23*z + 704) Factor -2*q**3 - 4058*q**2 - 32368*q - 64672. -2*(q + 4)**2*(q + 2021) Factor -4*b**3 + 268*b**2 - 184*b - 5280. -4*(b - 66)*(b - 5)*(b + 4) Let -2*x**2 - 210872*x - 5558375048 = 0. What is x? -52718 Factor 413*s**3 + 1236*s**2 + 817*s - 6. (s + 1)*(s + 2)*(413*s - 3) Factor -258*m**2 - 3896*m - 9600. -2*(m + 12)*(129*m + 400) Factor -k**5 - 3577*k**4. -k**4*(k + 3577) Factor 12*w**3 - 7828*w**2 - 15668*w/3 - 2612/3. 4*(w - 653)*(3*w + 1)**2/3 Factor 5*g**3 + 765*g**2 - 2360*g - 3120. 5*(g - 4)*(g + 1)*(g + 156) What is n in -5*n**3 - 485*n**2 + 3190*n + 217800 = 0? -99, -20, 22 Factor -3*x**2 + 8544*x - 871956. -3*(x - 2742)*(x - 106) Find a, given that -2*a**5/3 + 5196*a**4 - 30342026*a**3/3 - 40518408*a**2 - 121617608*a/3 = 0. -2, 0, 3899 Let -i**2 + 101486*i + 101487 = 0. What is i? -1, 101487 Factor v**4/2 - 103*v**3/2 - 2629*v**2/2 - 15125*v/2. v*(v - 125)*(v + 11)**2/2 Solve z**2/3 - 1494*z - 130819/3 = 0. -29, 4511 Factor -k**4/7 - 51276*k**3/7. -k**3*(k + 51276)/7 Factor 2*w**3/11 - 1524*w**2/11 - 10754*w/11 - 9228/11. 2*(w - 769)*(w + 1)*(w + 6)/11 Let 5*k**2 + 220410*k - 1984095 = 0. Calculate k. -44091, 9 Let -100*q**3 - 357795*q**2 + 1450690*q - 71640 = 0. What is q? -3582, 1/20, 4 What is q in -2*q**3/5 + 110136*q**2/5 + 2*q/5 - 110136/5 = 0? -1, 1, 55068 Factor x**2/5 - 6903*x/5 - 2762. (x - 6905)*(x + 2)/5 Factor 5*w**2 - 410480*w + 8424691520. 5*(w - 41048)**2 What is p in 2*p**4/17 + 108*p**3/17 - 994*p**2/17 - 79308*p/17 - 78208/17 = 0? -47, -32, -1, 26 Find f, given that -f**2/3 + 11615*f - 452816/3 = 0. 13, 34832 Let 3*o**2/5 + 14982*o/5 - 135081/5 = 0. Calculate o. -5003, 9 Suppose 2*b**5/5 - 202*b**4/5 + 912*b**3 + 5528*b**2 + 12928*b/5 - 44928/5 = 0. Calculate b. -4, -2, 1, 52, 54 Factor f**3/4 + 537*f**2/4 + 267*f/2 - 268. (f - 1)*(f + 2)*(f + 536)/4 Solve 168*h**4 - 4036*h**3 + 19752*h**2 + 56316*h - 1352 = 0. -2, 1/42, 13 Factor -x**2 + 310561*x - 310560. -(x - 310560)*(x - 1) Suppose 3*s**5 - 189*s**4 + 2409*s**3 - 7299*s**2 + 5076*s = 0. What is s? 0, 1, 3, 12, 47 Solve 4*k**2/5 + 58372*k/5 - 817992/5 = 0 for k. -14607, 14 Solve 4*c**2 + 19668*c + 19664 = 0 for c. -4916, -1 Factor -36*s**3 - 42740*s**2 - 9496*s. -4*s*(s + 1187)*(9*s + 2) Determine w so that 34*w**5/7 - 318*w**4/7 - 708*w**3/7 + 4232*w**2/7 + 6768*w/7 - 2880/7 = 0. -3, -2, 6/17, 4, 10 Find z such that -70*z**5 - 24296*z**4 - 169378*z**3 - 250952*z**2 - 10840*z + 13600 = 0. -340, -5, -2, -2/7, 1/5 Factor -3*w**3 - 390*w**2 - 1677*w + 24750. -3*(w - 6)*(w + 11)*(w + 125) Suppose -1119*p**3 - 94002*p**2 - 184020*p - 984 = 0. Calculate p. -82, -2, -2/373 Factor -q**5/2 + 175*q**4/2 - 588*q**3. -q**3*(q - 168)*(q - 7)/2 Find j such that 9*j**3 + 11064*j**2 + 36789*j + 11034 = 0. -1226, -3, -1/3 What is h in -h**2 - 13740*h - 54944 = 0? -13736, -4 Determine j so that 7*j**5/2 - 41*j**4 - 31*j**3/2 + 41*j**2 + 12*j = 0. -1, -2/7, 0, 1, 12 Determine s so that -37*s**5/3 - 224*s**4/3 + 284*s**3/3 + 238*s**2/3 - 247*s/3 - 14/3 = 0. -7, -1, -2/37, 1 Find x such that 2*x**4/9 - 118*x**3/9 + 2288*x**2/9 - 4840*x/3 = 0. 0, 15, 22 Factor -j**5 - 1634*j**4 - 6524*j**3 - 6520*j**2. -j**2*(j + 2)**2*(j + 1630) Factor 3*j**3/4 + 2067*j**2/4 + 346557*j/4 - 3288627/4. 3*(j - 9)*(j + 349)**2/4 Factor 2120538175*n**4 - 1514913795*n**3 + 174057*n**2 - 5*n. n*(7*n - 5)*(17405*n - 1)**2 Determine s so that -3*s**5/4 - 25*s**4/2 - 119*s**3/4 - 25*s**2 - 7*s = 0. -14, -1, -2/3, 0 Factor -c**2/6 + 352*c/3 + 235/2. -(c - 705)*(c + 1)/6 Suppose 3*z**4 + 123*z**3 + 249*z**2 - 10203*z + 9828 = 0. Calculate z. -36, -13, 1, 7 Determine o, given that -2*o**4/7 - 26*o**3/7 + 8210*o**2/7 - 40150*o/7 = 0. -73, 0, 5, 55 Find z such that 4*z**2 - 879940*z - 2639856 = 0. -3, 219988 Factor 4*p**2 - 12052*p + 36120. 4*(p - 3010)*(p - 3) Suppose q**3/4 - 85*q**2/4 - 2333*q/4 - 2247/4 = 0. Calculate q. -21, -1, 107 Let -3*s**2/2 - 753*s/2 - 14616 = 0. Calculate s. -203, -48 Solve -i**3 - 7091*i**2 - 7090*i = 0 for i. -7090, -1, 0 Determine w so that 4*w**4 + 1552*w**3 + 201240*w**2 + 8786448*w + 8586756 = 0. -129, -1 Factor -u**4/2 - 77*u**3/2 - 73*u**2 + 154*u + 300. -(u - 2)*(u + 2)**2*(u + 75)/2 Determine l so that 15*l**4 + 133*l**3 - 873*l**2 - 861*l + 130 = 0. -13, -1, 2/15, 5 Suppose t**4/7 - 193*t**3 + 463580*t**2/7 - 4857500*t/7 - 26934000/7 = 0. Calculate t. -4, 15, 670 Find x such that 2*x**4 + 12*x**3 - 126*x**2 - 152*x + 264 = 0. -11, -2, 1, 6 Factor f**3 + 84*f**2 - 175*f - 258. (f - 3)*(f + 1)*(f + 86) Suppose 3*w**2 - 3591*w + 77550 = 0. Calculate w. 22, 1175 Solve -3*s**4/5 + 103842*s**3/5 - 239584248*s**2 + 920641905120*s + 5532480950400 = 0. -6, 11540 Factor -5*r**2 - 47840*r - 114433280. -5*(r + 4784)**2 Suppose 3*f**4/7 - 16329*f**3/7 + 211770*f**2/7 = 0. What is f? 0, 13, 5430 Factor 2*d**3/7 - 594*d**2/7 - 4898*d/7 + 5490/7. 2*(d - 305)*(d - 1)*(d + 9)/7 Factor 2*y**4/9 - 18300*y**3 + 3390102386
{ "pile_set_name": "DM Mathematics" }
e of a and 8. 8 Calculate the common denominator of -89/32 and 16/(-12) - (-1512)/960. 480 Let y(r) = -r**3 - 4*r**2 + 7. Find the common denominator of ((-9)/((-9)/(-25)))/(-1) and y(-5). 1 Let a = 551 - 519. Calculate the lowest common multiple of a and 16. 32 Suppose 0 = -5*m - 4 - 46. Let f(t) be the second derivative of -t**3/6 + t**2 + t. Calculate the smallest common multiple of f(m) and 8. 24 Let u = -14 + 20. Suppose 3*g + 18 = -u. Find the common denominator of (-510)/g*(-10)/165 and 13/4. 44 Suppose -60 = 2*c - 5*c. What is the least common multiple of c and (30/(-6))/((-5)/10)? 20 Suppose -2*d = -6*d + 44. Calculate the least common multiple of 54 and 0 + (d - 2) + -5. 108 Calculate the smallest common multiple of (12/(-9))/(30/(-1485)) and 60. 660 Suppose -2*g - 20 = -g. Suppose -5*r = -4*r + 12. Let f = r - g. Calculate the lowest common multiple of 13 and f. 104 Suppose r + r - 5*s = 3437, 3407 = 2*r + s. Let h = 736 + r. What is the common denominator of (-1)/7 + h/(-840) and 93/4? 20 Let h(y) = 3*y**2 + 33*y - 138. Calculate the smallest common multiple of 12 and h(4). 84 Suppose 3*w = 5*w - 5514. Let v = w - 143341/52. What is the common denominator of v and 39/14? 364 Suppose f - 4*f + 30 = 0. Let r(n) be the first derivative of n**3/3 + 5*n**2 + 30*n - 4. Calculate the least common multiple of f and r(-8). 70 Let z(j) = 44*j + 646. What is the smallest common multiple of z(-11) and 36? 324 Let x = -1859 - -572. What is the common denominator of -81/56 and (x/(-108))/((-2)/4)? 168 Let d be (-36)/10 - (-4 - (-44)/10). Find the common denominator of d/12 - (-465)/72 and -1*37*(-1)/25. 200 Let i = 29 + -14. Let p = i + -10. Suppose -18 = -p*x + 47. Calculate the lowest common multiple of 11 and x. 143 Suppose 0 = x - 3*y + 5*y - 128, -x = -5*y - 100. Suppose 5*f - x = -3*a, -2*f - 3*f + 120 = 4*a. What is the lowest common multiple of f and 20? 120 Suppose -9 = 3*v, -5*x + 20 = 3*v + 2*v. Let u be 6/(-9)*9/(-2). What is the lowest common multiple of 4 - -2*(-3)/u and x? 14 Let t be (-1)/2 + (-15)/10. Let m be t/(-7) + 35/49. What is the common denominator of -17/8 and (m/(-5))/(4/(-305))? 8 Suppose 0 = -4*o - 3*l - 9 + 2, -19 = 3*o + 5*l. Calculate the smallest common multiple of 2*(-1)/2*-2 and o. 2 Let r = -358321/6 - -59544. Let u = 165 + r. What is the common denominator of u and -1 - -98*2/(-40)? 30 Let n be (-2)/(-5) - (-102)/(-30). Calculate the common denominator of 45/50*(-31)/n and -68/3. 30 Suppose -31462 - 224598 = -20*h. Let m = h + -153497/12. What is the common denominator of m and 55/84? 84 Let t be (48/(-15))/((-2)/(-10)). Let g = 32 + t. What is the lowest common multiple of 9 and g? 144 Let v = -556 - -864. Calculate the least common multiple of 22 and v. 308 Let i(w) = -2*w**2 - 2*w - 4. Let d be i(3). Find the common denominator of (-22)/d*5*2 and -6 - (-117)/(-22)*-2. 77 What is the smallest common multiple of 7 + 3*45/27 and 678? 1356 Let y be 1/(-4) - 49122/(-8). Let c = y - 36757/6. Calculate the common denominator of 4/18 + (-1356)/(-54) and c. 6 Suppose 5*k = -26 - 19. Suppose 4*m - 3 - 33 = 0. What is the lowest common multiple of m and (-4 - -3)*k + -2? 63 Let b be 2/(12/5 + -2). Suppose 6*m + 9 = 3*m, -4*y = b*m - 41. Let d(g) = -15*g**3 - g**2 - 3*g - 1. Calculate the smallest common multiple of d(-1) and y. 112 Let n = -58 + 240. What is the common denominator of n/70 + 2/(-3) and 8/45? 45 Let j = 6 + -22. Let r be 4/j*428/(-1). Find the common denominator of -69/22 and r/10*1/2. 220 Calculate the smallest common multiple of (750/225)/(2*(-1)/(-51)) and 10. 170 Let b(i) = 2*i**3 + i**2 - 2*i + 1. What is the lowest common multiple of 1 and b(2)? 17 Let v = -1197 - -4829/4. Calculate the common denominator of -95/6 and v. 12 Let x(l) = l**2 - 9*l + 401. Calculate the least common multiple of 9 and x(0). 3609 Let g = -169 + 172. What is the smallest common multiple of g and 2? 6 Let y = -47/10 - 69/5. Let z = 10419851/2230 + 14522/223. Let a = -4727 + z. Find the common denominator of a and y. 10 Suppose 77 = -8*a + 245. What is the lowest common multiple of 77 and a? 231 Let o = 1415/42 - 209/7. Let l = 7767 - 46489/6. Find the common denominator of l and o. 6 Let b(n) = -2*n**2 - 11*n - 7. Let r be b(-7). Let o = 40 + r. Calculate the least common multiple of 8 and o. 24 Let r be (6/(-4))/(6 - (-78)/(-12)). Suppose -52 = -6*n + r*n - 4*h, -5*n + 75 = -5*h. Calculate the least common multiple of n and 20. 80 Calculate the smallest common multiple of (-2 + 3528/(-27))/(1/(-3)) and 11. 4378 Let t = 41/110 + 3266/165. Calculate the common denominator of t and (3/6)/(2/(-78)). 6 Suppose -7 = -3*c - 3*i + 53, -2*i = 10. Suppose 0 = 3*l - 8*l + c. Let d = -120 + 122. What is the smallest common multiple of l and d? 10 Suppose 0*v + 15 = -5*v. Calculate the common denominator of (-56)/(-32)*20/(-6) and (274/(-32) - v)*2. 24 Calculate the common denominator of 36/5 and 3 - (-4 + (-216)/(-22)). 55 Let i(y) = -43*y**3 - 1. Calculate the least common multiple of 75/5 - (-2)/4*10 and i(-1). 420 Let t = 89237/10 + -8934. Find the common denominator of 13/3 and t. 30 Let y = 86488392871 + -5224763813013471/60410. Let g = -1/4315 + y. Calculate the common denominator of 75/2 and g. 14 Let l = -1/5906 + -90060/38389. Calculate the common denominator of ((-1)/(-4))/((-76)/(-1387)) and l. 208 Let z = -149278/5 + 805303/30. Let m = z - -3036. Find the common denominator of m and -57/8. 24 Calculate the common denominator of 119/6 and 0 - (1 - 1) - (-154)/48. 24 Suppose -81 = 9*m - 657. What is the smallest common multiple of m and 208? 832 What is the common denominator of 149/72 and (-1)/(18/(-197)) + -10? 72 Let v = 50229/8 - 6270. Calculate the common denominator of v and -2 + (-16)/(-3) - 2. 24 Let b be (-21944)/3 - (-1)/(-3). Let k = b + 87725/12. What is the common denominator of -43/10 and k? 60 Find the common denominator of (96/28)/12 + 887/(-140) and -43/30. 60 Let j(s) = -s**3 - 8*s**2 - 7*s + 3. Let p be j(-7). Suppose 0 = 3*b + p - 6. What is the lowest common multiple of b and 11? 11 Let z be 2/((-72)/38 + 2). Suppose -53 = -2*b + z. What is the common denominator of (-4)/18 - (-575)/b and -13/22? 44 Let z = -90/89 + -3818/801. Let g = -913592/36265671 - -90/3601. Let l = 466627/20142 + g. What is the common denominator of l and z? 18 Let v(f) = -f**2 + 10*f + 53. Let p = 90 + -78. What is the least common multiple of 11 and v(p)? 319 Let j = -279 + 305. What is the lowest common multiple of 18 and j? 234 What is the common denominator of 1 - -1 - (-1071)/(-2007)*4 and -52/11? 2453 Let o(n) = -n**2 + 5*n + 15. Let i be o(7). Let b be -5 + i - 70825/3830. Let g = 3/383 - b. Find the common denominator of g and -70/9. 18 Let w(f) be the second derivative of -f**4/4 - f**3/6 + f. Let z be w(-1). Calculate the lowest common multiple of 14 and 28/8 - z/4. 28 Let n = 285100363/3271 + -87160. Let b = 173411/52336 - n. Calculate the common denominator of b and 13/24. 48 Let d = -1013 - -3008/3. Let w = d - -265/21. Calculate the common denominator of 9/56 and w. 56 Let m(s) = s**3 - 17*s**2 + 14*s + 36. Let h(w) = -w**3 - 3*w**2 - 2*w + 4. Calculate the smallest common multiple of h(-3) and m(16). 20 Let d = 113/1008 - 32/63. What is the common denominator of d and -75/56? 336 Let r = -1638 + 14693/9. Find the common denominator of 143/42 and r. 126 Let z be (-8)/14*((-1542614)/(-16764))/17. Let n = z - 3/1397. Find the common denominator of n and 7/3. 21 Let u(s) = -s**2 + 9*s + 1. Let f be u(8). Suppose -3 - f = -3*x. Let l = -9 - -13. What is the least common multiple of l and x? 4 Let x = -66/11735 + 106406071/23470. Let r(n) = -1509*n - 3. Let c be r(3). Let l = x + c. Find the common denominator of l and 49. 10 Let b = 716/15 - 311/6. What is the common denominator of b and -107/10? 10 Let a be 4/24*-2 + 10/(-15). Find the common denominator of 0 - 2/(-120) - a/4 and -38/3. 15 Suppose 2*v - 2*g - 142 = 0, 0 = v + g - 3*g - 76. What is the smallest common multiple of v and 18? 198 Find the common denominator of -99/20 and (-158)/(-14)*7/(-72). 360 What is the smallest common multiple of 56 and (44/110)/(1/120)? 336 Let h(g) = -g**2 - 49*g + 135. Calculate the least common multiple of h(-43) and 5. 19
{ "pile_set_name": "DM Mathematics" }
pose 2*k - 7 = 7. Suppose 305 = -2*z + k*z. List the prime factors of z. 61 Suppose 0*f = 5*f + 4*r - 32, -f - 4*r + 16 = 0. Suppose -f*w + 41 + 119 = 0. List the prime factors of w. 2, 5 Suppose 4*w + 0*o = 5*o + 1765, -3*w = -4*o - 1325. Suppose 202*q = 205*q - w. List the prime factors of q. 5, 29 Suppose -26*q - 8 = -28*q, -5*f + 15038 = -3*q. List the prime factors of f. 2, 5, 7, 43 Let n(b) = 11*b + 1. Let d be n(2). Suppose 4*m - 3*m = -2*u - 5, 5*m = 2*u + d. What are the prime factors of (m - (-2 - 2))*1? 7 Let l(j) = -j**2 - 14*j - 13. Suppose 4*y = 20*y + 96. List the prime factors of l(y). 5, 7 Let g(v) = v - 5. Let t be g(3). Let b(n) = n**3 + 3*n**2 + 2. Let m be b(t). Suppose m*a = -a + 77. What are the prime factors of a? 11 Let m = -1081 + 1611. List the prime factors of m. 2, 5, 53 Let i(s) = -s**3 + 6*s**2 + 3*s - 2. Let x(n) = -6*n**3 + 29*n**2 + 16*n - 11. Let m(d) = 11*i(d) - 2*x(d). List the prime factors of m(-6). 2, 3, 11 Let k = 6597 - 3506. List the prime factors of k. 11, 281 Suppose -5*f - 5*g + 235 = 0, -5*f - 5*g + 4*g = -243. Suppose 3*x = 32 + f. List the prime factors of x. 3 Let o = 227 + -136. Suppose -65 = -92*m + o*m. What are the prime factors of m? 5, 13 Suppose -13*c + 15023 = -3398. List the prime factors of c. 13, 109 Suppose 40 + 260 = 5*m. Let g = m - 33. What are the prime factors of -4*(-4)/(16/g)? 3 Suppose -6553*p + 10510 = -6548*p. What are the prime factors of p? 2, 1051 Let f = 25 - 21. Suppose -b + 2*l = 1 + 4, -2*l = -5*b + 15. Suppose -f*j = -5*w + 48, b*w + 14 = 6*w - 3*j. What are the prime factors of w? 2 Let r(x) = -110*x - 86. List the prime factors of r(-5). 2, 29 Suppose 2*g + 5*p = 42 - 14, -5*g - 5*p = -40. Suppose -o + g*n + 28 = 0, n + 3*n = -2*o - 4. What are the prime factors of o? 2 What are the prime factors of 10 - 48/8 - -1359? 29, 47 What are the prime factors of ((-1050)/56)/(1/(-72))? 2, 3, 5 Suppose 0 = 10*n - 1892 + 652. List the prime factors of n. 2, 31 Let l = -91 + 214. Suppose -2*d = 3*d + k - 591, d - l = -5*k. List the prime factors of d. 2, 59 Let c be -2*(-3 - -1)/4. Let k be (7/3)/(c/(-3)). Let f(z) = z**2 + 3*z - 9. What are the prime factors of f(k)? 19 Let i(b) = -b**3 - 14*b**2 - 10*b - 3. Let x be i(-9). Let y = -74 - x. Suppose l = 2*z + 60 + 1, -4*l + z + y = 0. What are the prime factors of l? 61 Let z(n) = -705*n - 3. Let q be z(-1). Suppose -17*c + q = -14*c. List the prime factors of c. 2, 3, 13 Suppose 2*v = -4*z + 1444, -2*v + 683 + 747 = -3*z. What are the prime factors of v? 2, 359 Suppose -5*s + 1812 = 4*g, s = -6 + 2. List the prime factors of g. 2, 229 Let h(s) = s**2 + 7*s - 3. Let y(u) = -u**3 - 13*u**2 + 2*u + 19. Let d be y(-13). Let v be h(d). What are the prime factors of -1 + -1 + 11 + v? 2, 3 Let p = -1891 - -2360. What are the prime factors of p? 7, 67 Suppose 0 = 5*d + 4*u - 24400, 5*d - 5*u - 24400 = -3*u. What are the prime factors of d? 2, 5, 61 Suppose -18 = 4*d + 3*b - 0, -3*b = -2*d. What are the prime factors of -1*(-3 - (d - -133))? 7, 19 Let s(i) = -99*i - 135. List the prime factors of s(-9). 2, 3, 7 Suppose -2*h - 3*l = -11116, 0 = -4*h + 48*l - 45*l + 22232. List the prime factors of h. 2, 7, 397 Suppose -3*t + 4*m + 5704 = 0, -t - 4*m = -8*m - 1896. List the prime factors of t. 2, 7, 17 Let w(y) = 144*y + 116. What are the prime factors of w(5)? 2, 11, 19 Let o(u) = -u**2 - 15*u - 14. Let b be o(-14). Suppose 3*c - 5*j - 317 = b, -5*j - 14 = c - 133. List the prime factors of c. 109 Suppose 0 = 3*s - 1504 - 1949. List the prime factors of s. 1151 Suppose 2*x - 3*x + 2 = j, -5*x - 3*j = -6. Let d be 116 - -3*(-14)/(-6). Suppose x = -0*z - 3*z + d. What are the prime factors of z? 41 Suppose 2*q + b = 201, -4*b - 67 - 129 = -2*q. Suppose 31 - q = -m. What are the prime factors of m? 3, 23 Suppose -2*t - 14263 = -3*r, t = -2*r + 1550 + 7961. List the prime factors of r. 3, 5, 317 Let d(j) = j + 18. Let c be d(-12). List the prime factors of (330/5)/(2/c) + -2. 2, 7 List the prime factors of ((-2241)/(-36))/((-6)/(-16)). 2, 83 List the prime factors of (-2448 - -24)*4/(-3). 2, 101 What are the prime factors of 988 - (3 - -3) - -11? 3, 331 Let q = 7 - 7. Suppose 4*y = -q*y. Suppose y = -2*k - 1 + 111. What are the prime factors of k? 5, 11 Suppose -2*v + b + 13 = -0, b = -2*v + 3. Let x(r) = v*r**2 - r**3 + 0*r**2 + 8 - 14 + 3*r**2 + 4*r. List the prime factors of x(7). 2, 11 Let n be 27547/65 - (-4)/(-5). Suppose n = -2*l + 11*l. What are the prime factors of l? 47 Suppose 0 = -2*c - 2 - 12. Let p(d) = -d**3 - 7*d**2 - d - 4. Let a be p(c). Suppose -41 = -a*o - 2. List the prime factors of o. 13 Suppose -2*l + 2 = -s, s = -0*s + 4*l + 8. Let a = s + 15. Let y = 43 - a. What are the prime factors of y? 2, 5 Let s(d) = 2*d**2 - 11*d + 6. List the prime factors of s(-7). 181 Let m(l) = -3*l**3 + 38*l**2 + 28*l - 5. Let s(d) = -d**3 + 13*d**2 + 9*d - 2. Let p(h) = 3*m(h) - 8*s(h). List the prime factors of p(11). 2, 3 Suppose -3*a + z + 12672 = 0, 3*a + 28*z - 32*z = 12672. List the prime factors of a. 2, 3, 11 Let g(x) = -5*x + 6. Let c be g(1). Let l(i) = i + 10. Let p be l(-5). What are the prime factors of 7*c*(1 + p)? 2, 3, 7 Suppose 2*b - 4 + 10 = 0. Let p be 2 + (0 - (-6)/(-3)). What are the prime factors of (b - -2) + p - -33? 2 Suppose a = 4*a + 9. Let u be (-2 - a)/(1/7). Let j(h) = 3*h - 1. What are the prime factors of j(u)? 2, 5 Let i(x) = -x**2 + 7*x + 8. Let u be i(8). Let y be 1 + 4 + 0 - 3. Suppose -3*w + 5*f + 58 = u, 0*f = f + y. List the prime factors of w. 2 Let m = 22 - 34. Suppose -p = -5*n - 49, 5*p - n - 164 = -3*n. Let q = m + p. List the prime factors of q. 2, 11 Let b(r) = 321*r - 10. Let l be b(-5). What are the prime factors of (12/9)/4 - l/15? 2, 3 Let c = 11 + -8. Suppose -3*v = c*m - 33, 5*m + v - 6*v - 15 = 0. What are the prime factors of m? 7 Let t = 106 + 72. List the prime factors of t. 2, 89 Let x be (-3 - -5)*(-2181)/(-6). Suppose -11*v + 2982 = x. What are the prime factors of v? 5, 41 Suppose 2*f + 2*f + 4*p + 8 = 0, -5*f = -2*p - 25. Suppose n - 2 + 0 = 0. Suppose 4*c = -z + 9, n*c - 2*z - 21 = f*z. What are the prime factors of c? 3 What are the prime factors of (29671/9 - 2) + (-66)/(-297)? 5, 659 Let c be (-69 + -12)/(-1 - -2). What are the prime factors of c/(-3) - (2 - 1)? 2, 13 Suppose -6*b - 6980 = -26*b. What are the prime factors of b? 349 Let r(o) = -o**3 - 15*o**2 - 10*o + 20. Let g be r(-15). Suppose -g = -5*i - 0*i. What are the prime factors of i? 2, 17 Suppose -3 = -4*b - 3. Let c(a) = 2*a**2 + a + 29. What are the prime factors of c(b)? 29 Let s = 6 - -2. Let v = s + -4. Suppose 4*j - 2*d = d + 93, v*d + 34 = 2*j. What are the prime factors of j? 3 Let r = 2 - -7. Suppose 3*c = -r*c + 1608. List the prime factors of c. 2, 67 Let r = 1962 - 932. List the prime factors of r. 2, 5, 103 Suppose 28*p = 48*p - 40300. List the prime factors of p. 5, 13, 31 Suppose 2*c - 4 = -0*c. Let b be (17 - -7) + c + -1. Let n = b + -18. What are the prime factors of n? 7 Let k(v) be the third derivative of v**6/120 - 7*v**5/20 + 4*v**4/3 - 49*v**3/6 + 19*v**2. What are the prime factors of k(20)? 191 Suppose 0 = 8*j - 0 + 8. Let t(k) = 67*k**2 + 6*k + 4. List the prime factors of t(j). 5, 13 Suppose m + 8 = 5*m. Let a(f) = f**2 + 0*f**2 - 5 + 13 + 5*f + 0*f**m. What are the prime factors of a(-6)? 2, 7 Suppose 0*y + y = -35. What are the prime factors of (y/(-10))/(4/152)? 7, 19 List the prime factors of 3 + (-7)/(14/(-1516)). 761 Let v = -10 + 16. Suppose 0*r - v = -3*r. What are the prime factors of 0 + r + 3/1? 5 Let g(d) = 128*d + 168. What are the prime factors of g(10)? 2, 181 Let w = 11 - 7. Suppose -4*g + 2 = -18. Suppose -3*l + 59 = g*d, -d + w = -l - 3. List the prime factors of d. 2, 5 Let f = -8 + 20. Suppose -5*b + 2*b = -f. Suppose b*s - 29 + 5 = 0. What are the prime factors of s? 2, 3 Let f = 0 - -12. Let b(a) = a**2 + 8*a + 12. Let z be b(-8). Suppose -f = -3*l + z. What are the prime factors of l? 2 What are the prime factors of (-3 - 1 - -6) + (-246)/(-2)? 5 Let h(w) = -w**2 + 14*w + 4. Let z be h(14). Suppose 0 = -5*g - z*q + 136, -3*g - 2*q + 85 = -3*q. List the prime factors of g. 2, 7 Let g(r) = 7*r - 17. Let l be g(-12). Let n = l + 182. Suppose -3*h + n = -
{ "pile_set_name": "DM Mathematics" }
286542993? True Is 40 a factor of 67378763? False Does 13 divide 147207139? False Is 12158769 a multiple of 518? False Does 1323 divide 59982174? True Is 16 a factor of 1209115344? True Does 16 divide 30491464? False Does 214 divide 142204498? True Is 42 a factor of 19015340? False Does 26 divide 2104358516? True Does 1001 divide 103087227? False Is 7303 a factor of 614321057? True Does 2263 divide 271928869? True Does 1077 divide 563271? True Does 10 divide 37867837? False Is 53 a factor of 2329696811? False Does 289 divide 9013036? False Is 556 a factor of 4414084? True Is 2985274241 a multiple of 11863? False Does 139 divide 395894935? True Is 151 a factor of 220128831? False Is 3527 a factor of 15288694? False Is 2800 a factor of 983260098? False Is 50 a factor of 200851635? False Is 279382742 a multiple of 20? False Does 26 divide 24855116? True Is 20 a factor of 168739284? False Is 421116256 a multiple of 4976? False Is 8 a factor of 364390756? False Is 31110513 a multiple of 483? True Is 614144760 a multiple of 571? True Does 1888 divide 27721504? True Is 83 a factor of 149871754? False Is 135951975 a multiple of 75? True Is 38 a factor of 38250686? True Does 32 divide 64356064? True Is 1039089924 a multiple of 11856? False Is 90 a factor of 373165380? True Is 943 a factor of 1127842943? False Does 130 divide 964484560? True Is 684628 a multiple of 196? True Is 9627447 a multiple of 444? False Is 2705174 a multiple of 109? False Does 1235 divide 57001425? True Is 2967 a factor of 2761581330? False Does 129 divide 22456504? False Is 418846557 a multiple of 10? False Is 9243571 a multiple of 162? False Is 24 a factor of 317390726? False Is 9 a factor of 37185903? True Does 133 divide 35104707? False Is 25 a factor of 44459005? False Is 260220411 a multiple of 187? True Is 136352253 a multiple of 714? False Is 4444 a factor of 511922136? True Is 3993734058 a multiple of 853? True Does 1522 divide 761277004? True Is 264985560 a multiple of 20? True Is 762 a factor of 8165828? False Is 367178420 a multiple of 1115? True Is 1085 a factor of 626494998? False Does 9 divide 20533662? True Is 182 a factor of 759846439? False Does 253 divide 5125274? True Is 27 a factor of 10691128? False Is 947 a factor of 18912635? False Does 654 divide 62653200? True Does 5208 divide 424608240? True Is 36060336 a multiple of 432? True Is 8777250 a multiple of 50? True Does 60 divide 240815160? True Is 47 a factor of 2400892? False Is 275910264 a multiple of 168? True Does 15 divide 26453038? False Is 22 a factor of 723607459? False Does 233 divide 39927812? True Is 459 a factor of 1920341250? True Is 246 a factor of 43459836? True Is 40730737 a multiple of 430? False Does 3433 divide 77211603? True Is 7779885411 a multiple of 28? False Is 217568977 a multiple of 61? False Is 35387540 a multiple of 10? True Does 102 divide 79968306? True Is 17 a factor of 4171664629? True Is 25885070 a multiple of 73? True Does 5 divide 255446950? True Is 2381 a factor of 5881141430? True Does 451 divide 369846158? True Is 319876962 a multiple of 76? False Is 7997192 a multiple of 56? True Is 73413694 a multiple of 1294? False Does 779 divide 221306327? False Does 11 divide 7971307817? True Is 410 a factor of 223794810? True Is 1881 a factor of 4941286762? False Does 3981 divide 170526739? False Is 96312480 a multiple of 544? True Is 160 a factor of 17717333? False Is 5 a factor of 44948146? False Is 710705712 a multiple of 974? False Is 34 a factor of 120487432? True Does 26 divide 1443961340? False Does 2390 divide 131095644? False Is 24197580 a multiple of 330? True Is 88920640 a multiple of 32? True Is 5683523688 a multiple of 53? True Is 18 a factor of 475527690? True Is 14 a factor of 108460519? False Does 4237 divide 957070508? True Does 300 divide 42804752? False Does 39 divide 791727924? True Does 87 divide 14173170? True Does 154 divide 13628483? False Is 506064691 a multiple of 2087? False Is 1619 a factor of 92617801? False Is 57 a factor of 588342543? True Is 214032204 a multiple of 219? True Is 223225584 a multiple of 29? False Is 41841490 a multiple of 757? False Is 79250872 a multiple of 3? False Is 57 a factor of 1448394? False Is 101754250 a multiple of 125? True Is 9 a factor of 287711356? False Is 50516298 a multiple of 434? True Does 23 divide 119761927? False Is 5035058 a multiple of 115? False Is 33259590 a multiple of 93? True Is 10726909 a multiple of 43? True Is 46705968 a multiple of 376? True Does 27 divide 164794797? True Is 274351062 a multiple of 3? True Is 65516784 a multiple of 2? True Is 7 a factor of 397342119? False Does 17 divide 54290114? False Is 104 a factor of 508110585? False Does 15 divide 1523574567? False Is 21 a factor of 42981264? False Is 1883 a factor of 78199107? True Does 1671 divide 2839029? True Does 1364 divide 150012663? False Does 18 divide 5697738? True Does 3 divide 8509714? False Is 181045957 a multiple of 1000? False Does 31 divide 780712006? False Is 13 a factor of 86542900? False Does 90 divide 60438672? False Is 13133432 a multiple of 586? True Is 350202335 a multiple of 1049? False Does 91 divide 384603674? True Is 17915008 a multiple of 64? True Is 475 a factor of 339861690? False Does 114 divide 44111730? True Is 2323990108 a multiple of 13? False Does 7454 divide 159560318? False Is 276 a factor of 10825598? False Is 4 a factor of 15985279? False Is 290 a factor of 4959290? True Is 14 a factor of 39160889? False Is 36023253 a multiple of 1543? False Is 44494784 a multiple of 8? True Is 54665551 a multiple of 51? False Does 516 divide 45539068? False Is 93 a factor of 565788192? True Is 2840 a factor of 74070040? True Does 5 divide 20094100? True Is 122 a factor of 12292530? False Does 80 divide 54034290? False Does 1444 divide 40092660? True Is 116 a factor of 1039647653? False Is 268 a factor of 735142786? False Is 314014224 a multiple of 24? True Is 162758778 a multiple of 681? False Does 9184 divide 3334472571? False Is 1532981477 a multiple of 60? False Does 166 divide 9060612? True Does 41 divide 49680971? True Does 15983 divide 3616377512? True Is 51324764 a multiple of 94? False Does 46 divide 16843452? True Does 4 divide 100018941? False Is 5750605 a multiple of 257? False Is 2534 a factor of 84576734? False Is 173457420 a multiple of 20? True Is 791 a factor of 9954735? True Is 400604964 a multiple of 3606? True Is 1696105900 a multiple of 5403? False Is 1019122986 a multiple of 5714? False Is 1629611476 a multiple of 218? True Does 128 divide 216573056? True Is 200 a factor of 743817657? False Is 3849 a factor of 6038192481? False Is 115064221 a multiple of 10? False Is 42088023 a multiple of 3676? False Does 83 divide 198668053? True Is 119 a factor of 1272135069? False Does 3 divide 6788769? True Is 4611931236 a multiple of 3411? True Does 214 divide 10463958? True Is 272656508 a multiple of 11? False Is 4 a factor of 971111? False Does 2592 divide 216082080? True Is 262 a factor of 581792746? True Does 28 divide 23883832? True Does 28 divide 2756410316? False Does 20 divide 295851021? False Does 789 divide 133428494? False Is 1509633071 a multiple of 3341? False Is 12 a factor of 2748955572? True Is 1852 a factor of 237634385? False Is 44 a factor of 58671404? True Is 649 a factor of 52467756? True Does 114 divide 15126774? True Is 688 a factor of 1757868? False Does 8 divide 1793612474? False Is 614946029 a multiple of 9577? False Is 432629325 a multiple of 2865? True Is 40 a factor of 258661133? False Is 55 a factor of 97201951? False Is 4 a factor of 489644? True Is 91077800 a multiple of 4165? False Does 446 divide 3376220? True Is 777 a factor of 1551575237? False Is 867 a factor of 33346554? True Is 3308 a factor of 1185410692? False Is 315982832 a multiple of 92? True Is 181 a factor of 9401159? False Is 5053711 a multiple of 6? False Is 54 a factor of 9473924? False Is 115697352 a multiple of 996? True Is 16416066 a multiple of 69? True Is 2864952 a multiple of 12? True Is 2092884372 a multiple of 54? True Is 93 a factor of 72040032? True Is 3448895609 a multiple of 45? False Does 6 divide 126898098? True Does 97 divide 17381042? True Is 2265540 even? True Is 487 a factor of 117974115? F
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of x and 12? 12 Let z = -19 + 27. Let s(d) = -d**2 + 12*d + 21. Let h be s(13). Let n be h/6*(-36)/(-24). What is the highest common factor of z and n? 2 Let r be (-11 + 326)*2/3. Calculate the greatest common divisor of r and 60. 30 Suppose w - 1 = -5. Let n be (-17 + w)/(6/(-28)). Calculate the highest common divisor of n and 14. 14 Let l(i) = 29*i + 179. Let u be l(-5). What is the highest common factor of u and 527? 17 Suppose -3*n + 38 = -2*t, 2*t - 42 = -15*n + 10*n. Calculate the highest common factor of 860 and n. 10 Suppose -4*c = -0*m + 3*m - 288, 0 = 2*c + 4*m - 154. Let p = -55 - -77. Let o = 1 + p. What is the highest common divisor of o and c? 23 Let v be (-7)/(-14) + 33/2. Suppose s = v + 23. Calculate the greatest common factor of 60 and s. 20 Suppose 3*c = 4*n + 4*c - 35, -4*n = -4*c - 60. Suppose -2*r = -2*l + 4*l - 34, -5*l = 3*r - 45. What is the greatest common factor of r and n? 10 Let o be (((-3)/9*1)/1)/((-1)/90). Suppose -4*t - x = 3*x - 52, -2*x + 6 = 0. What is the highest common divisor of o and t? 10 Suppose 3*z + 47 - 443 = 0. Suppose -v - 2*v + 99 = 0. Calculate the highest common divisor of z and v. 33 Let r = -3035 + 3051. Let z be (-44 + 2)/(9/(-12)). What is the greatest common factor of r and z? 8 Let g = 5 - -52. Let t = 103 - g. Calculate the greatest common divisor of 115 and t. 23 Suppose -2*j - x + 6 = -5*x, 4*x = j - 1. Let r(y) = y**2 - 6*y. Let c be r(j). Let g be (-6)/c*220/3. What is the greatest common factor of 8 and g? 8 Suppose 9*q = -148 + 481. What is the greatest common divisor of 74 and q? 37 Let l = 71 + 343. Calculate the greatest common factor of 92 and l. 46 Let s = 1374 - 751. Suppose -9*q - 2 + s = 0. Calculate the highest common divisor of q and 46. 23 Let v(f) = 7*f - 3. Let i(n) = n - 2. Let l be i(4). Let y be v(l). Calculate the greatest common factor of 88 and y. 11 Suppose -12 = -3*g + 2*n, 11 = -0*g + 4*g - n. Suppose -g*f = -3*f. Suppose f*a - 48 = -4*a. What is the greatest common factor of a and 4? 4 Let c = 2 + 10. Suppose -9 = -3*r + c. Let o be 586/r - (-6)/21. What is the greatest common divisor of 21 and o? 21 Let v(f) = -6*f - 3. Let b be v(9). Let l = b + 69. What is the highest common divisor of l and 36? 12 Let i(a) = -a**3 - 11*a**2 + 26*a + 3. Let d be i(-13). What is the greatest common factor of d and 27? 3 Let m(u) = 6 - 10*u + u**2 + u + 7. Let j be m(6). Let o be 2/j + (-1463)/(-95). What is the highest common factor of o and 3? 3 Suppose 64*w = -38*w + 510. Calculate the highest common factor of 365 and w. 5 Let k(a) = a**2 + 7*a - 30. Let v be k(-12). Let q be (-4)/v - 1157*(-4)/60. What is the highest common factor of 11 and q? 11 Let b = -7 - -7. Suppose -n = 0, 5*v + b*v = -2*n + 25. Let r = v + 9. Calculate the greatest common divisor of 154 and r. 14 Let q be ((-24)/10)/((-92)/115). Calculate the greatest common factor of 93 and q. 3 Let z = 44 + -20. Suppose 0 = 2*b - 33 + 1. What is the greatest common divisor of z and b? 8 Let s(m) = 3*m + 5. Let t = -3 + 1. Let u be s(t). Let z be -1*(-44)/4 + u. Calculate the highest common factor of z and 20. 10 Let c = -17 + -25. Let j be (-9)/(2 - (-93)/c). Calculate the highest common divisor of j and 63. 21 Let m be (472/12)/(2/3). Let d = 95 + m. What is the greatest common factor of 14 and d? 14 Let m = -510 + 830. Calculate the highest common divisor of m and 8. 8 Let p = 172 + -116. Suppose 0 = -2*n - p + 70. What is the highest common factor of n and 1? 1 Suppose -5 = 3*r - 17. Suppose -3*f - 5*y + 153 = f, y - 5 = 0. Calculate the greatest common factor of r and f. 4 Suppose 3 + 0 = j. Suppose -j*n + 199 = 46. Calculate the highest common divisor of n and 34. 17 Let b(u) = -u**2 + 10*u - 2. Let a be b(9). Let n = 10 - 3. What is the greatest common factor of n and a? 7 Let y be 2 + -40*3/(-3). Let n be (-14133)/(-336) + (-1)/16. Calculate the highest common factor of n and y. 42 Suppose 85 = 4*u - 95. Suppose 2*k + h = -2*k + 36, u = 5*k - 5*h. What is the highest common factor of 18 and k? 9 Let f be (21/6)/((-2)/4). Let s = -2 - f. Suppose -84 = -w - 5*p, -w + 213 = w - s*p. What is the highest common factor of 9 and w? 9 Suppose -20*k - 5*k + 32850 = 0. What is the highest common factor of 18 and k? 18 Let h = 6 - 14. Let v be (42/h)/((-36)/96). Let c be v + (4/2)/(-2). What is the greatest common divisor of 143 and c? 13 Suppose -2*u - 18 = -h, 3*h - u = u + 38. Calculate the greatest common factor of 16 and h. 2 Let t be 0 + -6 + (183 - 7). Calculate the highest common divisor of t and 34. 34 Suppose 306 = -f - 5*f. Let v = -42 - f. Calculate the greatest common factor of 1 and v. 1 Suppose -13*o + 20*o - 196 = 0. What is the greatest common factor of 308 and o? 28 Suppose -9 = -4*w + 11. Suppose 4*a + n - 5 = 0, a - 3*a + n + 7 = 0. Suppose i + a + 1 = 0, 2*x - 102 = 4*i. Calculate the greatest common divisor of x and w. 5 Let z = -4963 - -7706. Calculate the greatest common factor of z and 13. 13 Let t(j) = 4*j**2 - 3*j**2 - 8 - 8*j - 2*j**2 + 0*j**2. Let h be t(-6). Let c be 3*6/h*4. Calculate the greatest common factor of 2 and c. 2 Let p(b) = -469*b + 12. Let z be p(-7). Suppose x = 1, -5*d = -0*d + 5*x - z. Suppose -5*i + d + 427 = 0. What is the highest common divisor of 31 and i? 31 Let w = 136 - 92. Calculate the highest common factor of 198 and w. 22 Let o be 13/((-15)/(-5)*(-6)/(-198)). What is the greatest common factor of 11 and o? 11 Suppose 2*s - 40 = -3*s. Let t = -112 + 171. Let u = 147 - t. Calculate the greatest common factor of u and s. 8 Suppose -2*a = -3 - 43. Suppose 0*u + 2*o = 2*u + 8, -2*u = 3*o + 13. Let w be (0 + -46)/((-10)/u*-1). Calculate the highest common factor of w and a. 23 Let v = 771 - 274. What is the highest common factor of 14 and v? 7 Let x(j) = 8*j**2 - 3*j - 32. Let h be x(6). Calculate the highest common divisor of 154 and h. 14 Suppose 5*s + q - 7 = 0, 4*s - 7 - 3 = -3*q. Suppose s = 2*l - 27. Suppose 9*d - 17*d + 16 = 0. Calculate the highest common factor of d and l. 2 Let t be 27/(-1*4/(-16)) - -4. What is the highest common factor of 14 and t? 14 Let j(h) = h**3 - 15*h**2 + 13*h + 16. Let m be j(14). Suppose -g = m*g - 9. Suppose -g*z + 106 + 167 = 0. Calculate the highest common divisor of 13 and z. 13 Let q = -25 - -25. Suppose w - 49 = -2*n, 10*n - 5*n - 4*w - 129 = q. What is the highest common factor of n and 225? 25 Let g(x) = -x**2 - 37*x - 20. Let l be g(-11). What is the highest common factor of l and 76? 38 Let y be (-272)/(-10) - (-10 + (-1224)/(-120)). Suppose z - 2*z = -216. What is the greatest common divisor of y and z? 27 Suppose 17 = c - 3*l + 1, 0 = 5*c + 5*l - 100. Let n = c - 14. Suppose n*k = 2*w - 73, 4*k - 4 = -0*w - w. What is the greatest common divisor of 16 and w? 8 Let s = 77 + -55. Let w = 38 + s. Calculate the highest common divisor of 12 and w. 12 Let q = 1384 - 1375. Let s(u) = -8*u**3 + u**2. Let o be s(-1). What is the greatest common divisor of q and o? 9 Suppose 3*y = -2*s + 350 + 5, 5*s + y - 881 = 0. Let q be 4*1/(-2)*-8. What is the highest common divisor of q and s? 16 Let m be (-12)/(-16) + (-24904)/(-32) - 2. What is the greatest common divisor of 74 and m? 37 Let y(r) = -r**3 - 2*r**2 - 2*r + 200. Let k be y(0). Let x(w) = w**3 - 16*w**2 + 16*w + 5. Let m be x(15). Calculate the greatest common factor of m and k. 20 Let d(s) = -7*s + 108. Let c be d(14). What is the highest common factor of 430 and c? 10 Let i be (-2 - -1)*(-2)/2. Suppose 2*n = -n + l + 23, 0 = 4*n - l - 30. What is the greatest common factor of n and i? 1 Let w = -565 + 577. Calculate the greatest common factor of 96 and w. 12 Let l(i) = -i**2 - 56*i + 33. Let r be l(-19). Calculate the greatest common divisor of 46 and r. 46 Let z = -43 + 91. Suppose 3*m - 15 = 0, 65*m - 62*m + 21 = 3*l. What is the highest common factor of l and z? 12 Let c = 64 - 64. Suppose 4*j + 2*g - 20 = 0, c*j - 2*g - 22 = -2*j. What is the greatest common divisor of 35 and j? 7 Let i(a) = -a**3 + a**2 + 18. Let l be i(0). Suppose -4*p - 2 + l = k, 4*k = 5*p + 64. Suppose 2*r = 21 - 5. What is the highest common factor of r and k? 8 Let u = -87 - -129. What is the greatest common divisor of u and 30? 6 Let w be ((-4)/1)/((-2)/14). Let
{ "pile_set_name": "DM Mathematics" }
t(119) + sqrt(119)*2 - sqrt(119)) - sqrt(119)*-2*-3)/(sqrt(28)/(sqrt(32)/sqrt(8))*-5). 16*sqrt(17)/5 Simplify ((sqrt(24)*-4)/sqrt(4))/(sqrt(64)/sqrt(8)). -2*sqrt(3) Simplify ((sqrt(72) + 1)*4 + -2*sqrt(72)*5)**2 + -1*(2 + (2 + sqrt(72))**2). -312*sqrt(2) + 2530 Simplify (-3*(sqrt(275) - sqrt(275)*-3)**2 + sqrt(275)*-2*-1)*2. -26400 + 20*sqrt(11) Simplify (3*sqrt(432) + -4)**2 - (sqrt(12)/sqrt(4)*5 + -1). -293*sqrt(3) + 3905 Simplify ((2*sqrt(270)*-2 + sqrt(270))/sqrt(9))/((sqrt(6) - sqrt(6)*2*4)*1). 3*sqrt(5)/7 Simplify (5*(sqrt(104)*-1 - sqrt(104))*-3)/((-1*sqrt(72)*-2)/sqrt(9)). 15*sqrt(13) Simplify (3 + -1 + (sqrt(275) - (sqrt(275) + 1)) + (sqrt(275) - (sqrt(275) + 2*((sqrt(275) + sqrt(275) + sqrt(275)*2 - sqrt(275)) + sqrt(275)))) + 5)**2 + -1. -480*sqrt(11) + 17635 Simplify (sqrt(272)*-3 + -4 + 3)*3. -36*sqrt(17) - 3 Simplify (5*(1 + sqrt(171) + sqrt(171) + -1 - sqrt(171)))**2*-1*2. -8550 Simplify 2 + -4 + (-5*2*sqrt(2420))**2 + -3. 241995 Simplify ((3*sqrt(2000))/sqrt(4) - ((sqrt(125) - (sqrt(125) + -2)) + 2))**2. -240*sqrt(5) + 4516 Simplify (5*sqrt(77)*5 + sqrt(77))/(sqrt(1331) + (-1*sqrt(1331) - sqrt(1331))). -26*sqrt(7)/11 Simplify sqrt(2) - 4*(sqrt(32) + sqrt(2)) - -3*sqrt(18) - sqrt(8)/(-1*sqrt(196)). -69*sqrt(2)/7 Simplify (sqrt(85)/(6*sqrt(125)) + (sqrt(17) + sqrt(17) + (sqrt(1088) + 0)**2 - (1 + sqrt(17))*6))*2. -119*sqrt(17)/15 + 2164 Simplify (sqrt(288) + sqrt(288) + -2)**2*-5 + (sqrt(2) + (sqrt(242) + (sqrt(242) - sqrt(242)*2))**2 - (sqrt(14)*1)/sqrt(7)). -5780 + 480*sqrt(2) Simplify (2*1*sqrt(160))/(6*2*sqrt(4)/sqrt(2)). 2*sqrt(5)/3 Simplify 1*-3*(((sqrt(76)*3 - sqrt(76))/sqrt(4))**2 - (sqrt(19) - (sqrt(19) + sqrt(19) + 6*(-3 + sqrt(19))))**2). -756*sqrt(19) + 3537 Simplify (sqrt(1008) - (sqrt(1008) - (sqrt(1008) - -2*sqrt(1008)*6)))**2 + (sqrt(84)/sqrt(2)*-2)/sqrt(6). -2*sqrt(7) + 170352 Simplify ((sqrt(5) - sqrt(160)/sqrt(8))*-5 - (5*sqrt(5)*-2 + (sqrt(5) - (sqrt(5)*-1 + -2))))**2. -52*sqrt(5) + 849 Simplify -5*(sqrt(300)/(sqrt(5)*-1))/(sqrt(12) - sqrt(144)/sqrt(3))*2. -10*sqrt(5) Simplify (4 + (-2 + (sqrt(539) - -3*sqrt(539) - sqrt(539)))*-3)**2*1. -1260*sqrt(11) + 43759 Simplify ((1 + sqrt(1872) - sqrt(1872))*6)**2 - (sqrt(39)/(sqrt(432)*-2 + sqrt(432) - sqrt(432)))**2. 20723/576 Simplify ((sqrt(77) + sqrt(77) + (sqrt(77) + 2*sqrt(77))*3 - sqrt(77))*-4)/(sqrt(7) - (sqrt(77) + sqrt(77)*-2)/sqrt(11) - (sqrt(7) - 1*sqrt(847))). -10*sqrt(11)/3 Simplify 2 + sqrt(343) + sqrt(343) + 0 + 4 + ((1*sqrt(343))**2 + 5 - (sqrt(343) + sqrt(343) + (-4 + -1 + sqrt(343))**2)). -14 + 70*sqrt(7) Simplify (-2*sqrt(75) + 1 + 5)*-6 + -4. -40 + 60*sqrt(3) Simplify -1 + ((sqrt(3) + -1)*4 + 1 + sqrt(3) + 5 + sqrt(3))**2 - (((sqrt(3) - (sqrt(3) + 1))*3)**2 + sqrt(3)*-1*1 + -4). 25*sqrt(3) + 106 Simplify 3*(-4 + 3 + 4 + (sqrt(76) + 0)**2). 237 Simplify -2*((0 + sqrt(605))*1)**2 - (1*(1 + sqrt(605)) - -2*(0 + sqrt(605))). -1211 - 33*sqrt(5) Simplify -2 + (5*(sqrt(66) - sqrt(66)*2))/(sqrt(36)/sqrt(96))*2. -40*sqrt(11) - 2 Simplify (sqrt(17) - -4*2*sqrt(17)) + sqrt(102)/(sqrt(30)/sqrt(5)) + ((1*sqrt(136)*4)/((2*sqrt(96))/sqrt(12)))**2. 10*sqrt(17) + 68 Simplify -3 + sqrt(16)/(sqrt(40)/sqrt(5)) - (sqrt(2) + (sqrt(242) + 1)**2)*4. -975 - 91*sqrt(2) Simplify 1*((sqrt(448) - (sqrt(448) + (0 + sqrt(448) - sqrt(448))))*-1*1)**2. 0 Simplify (4 + -5 + sqrt(7)*3 + (sqrt(112)*-3 + 4 - sqrt(112)))*4. -52*sqrt(7) + 12 Simplify sqrt(1053) + (4 + sqrt(1053))**2 + (2*sqrt(91)/sqrt(7))**2 + -4. 81*sqrt(13) + 1117 Simplify -1*(3*(-5*sqrt(432)*2)**2 - (((0 + sqrt(432) - sqrt(432)) + sqrt(432))**2 + -2 - (sqrt(432) - (sqrt(432) - (3*-2*sqrt(432) + sqrt(432))))**2)). -139970 Simplify (sqrt(448)*-3 - sqrt(448))*-3 - sqrt(56)/(-1*sqrt(392)). 673*sqrt(7)/7 Simplify (-1*sqrt(3500) + sqrt(3500) - -2*(1*sqrt(35) + sqrt(35)))/(sqrt(112) - (sqrt(112) - (-6*sqrt(112)*-2 + sqrt(112)))). sqrt(5)/13 Simplify 5 + -5 + ((-2*sqrt(18)*6)/(sqrt(1152)/sqrt(2)))**2. 9/2 Simplify 1 + -1*sqrt(84)/(sqrt(42)/sqrt(216)). -12*sqrt(3) + 1 Simplify (sqrt(1089)*-1*1)/((sqrt(588) + 3*sqrt(588))/sqrt(4)). -11*sqrt(3)/28 Simplify (5*sqrt(6300))/(sqrt(18)/(sqrt(16)/sqrt(8))). 50*sqrt(7) Simplify (-1*(sqrt(77) - (sqrt(77) + -2*sqrt(77))*6))/(-2*(sqrt(1584)*-3 + sqrt(1584))). -7*sqrt(7)/48 Simplify -5*((sqrt(17) - (sqrt(1700) - (sqrt(1700)*1 + sqrt(1700) + sqrt(1700) - sqrt(1700)))) + sqrt(1088)*6)*6. -1770*sqrt(17) Simplify 0 + (2*sqrt(800)*-6)/(((sqrt(90) - (sqrt(90)*2 + sqrt(90)) - sqrt(90))*1 + sqrt(90))/sqrt(9)). 24*sqrt(5) Simplify (sqrt(112)/(sqrt(7)*-3))/(2*sqrt(200))*4. -2*sqrt(2)/15 Simplify (4 + sqrt(832)*-1 - (-5*sqrt(832)*-1 + sqrt(832))**2) + (((-1 + sqrt(832) - sqrt(832)) + 0)**2 - (-1*sqrt(832) + -2)). -29945 Simplify ((sqrt(143)*2 + sqrt(143))*-3 + -1*-1*sqrt(143))/(((-1*sqrt(1331) - sqrt(1331)) + sqrt(1331))*-6). -4*sqrt(13)/33 Simplify (sqrt(378)/(2*sqrt(7)*-4))/((sqrt(192) + (sqrt(192) - (sqrt(192) - sqrt(192)*2)))/sqrt(6)). -sqrt(3)/32 Simplify (1*(sqrt(76)*-1 + sqrt(76)))/sqrt(4) - (5*sqrt(1539)*-4)**2. -615600 Simplify 2*(sqrt(1100) + 0)**2 + sqrt(1100) + -5 - (0 + sqrt(11) + 0 + 2 + 2). 9*sqrt(11) + 2191 Simplify ((sqrt(11) - (3 + sqrt(275)))*6 + (-5*(sqrt(704) + -1) - sqrt(704)))**2 + 5. 1872*sqrt(11) + 57198 Simplify (2 + ((sqrt(117) - (sqrt(117) + (sqrt(117) - (-2*sqrt(117) + sqrt(117))*-4))) + 1 + sqrt(117) + 2 + sqrt(117))**2)*5. 450*sqrt(13) + 14680 Simplify (-2*(-2*sqrt(98)*1 + -1 + sqrt(98)*-1 + -2*(sqrt(98) + sqrt(98) + -1 + sqrt(98))*-2))**2. -2520*sqrt(2) + 31852 Simplify 3*(-2 + 3*sqrt(63) + -2 + sqrt(63) + 2 + -5). -21 + 36*sqrt(7) Simplify 4 + ((3*sqrt(1900) + 5 + 0 + 3*sqrt(1900) + sqrt(1900))*-5)**2. 17500*sqrt(19) + 2328129 Simplify ((-5 + 1 + (sqrt(7) - (2 + sqrt(7))) + -3*(sqrt(343) + 1))*5)**2. 9450*sqrt(7) + 79200 Simplify (((sqrt(68)/sqrt(16))**2 - sqrt(204)/(sqrt(48) - sqrt(12))) + 5)*-6. -111/2 + 6*sqrt(17) Simplify (1*(sqrt(475)*2 + 2))**2 + (5 + sqrt(475) + 1 - (-3*sqrt(475)*-2 + sqrt(475))**2). -21365 + 45*sqrt(19) Simplify -4 + (sqrt(1331) + -2 - sqrt(11)) - ((sqrt(1584) - (sqrt(1584)*2)**2)*-2 - sqrt(1584)). -12678 + 46*sqrt(11) Simplify (3*-1*sqrt(132) + (sqrt(132) - (sqrt(132)*1*-6 + sqrt(132))) + sqrt(132))/(sqrt(84)/(sqrt(28) - sqrt(112))). -8*sqrt(11) Simplify (sqrt(1573) + 3 + -1 + sqrt(1573) + sqrt(1573))*-4 + 2 + -1 + 3. -132*sqrt(13) - 4 Simplify (4*(sqrt(243) - (sqrt(243) - sqrt(243)*-2*-2)))/(5*(sqrt(144) + sqrt(9) - sqrt(9)) + sqrt(81)/sqrt(144)). 64*sqrt(3)/27 Simplify ((sqrt(1008) - sqrt(1008)*-1) + -1)**2 - (6*sqrt(35)/sqrt(5) + -2)**2. -24*sqrt(7) + 3777 Simplify -1 + (-5*2*sqrt(11) - sqrt(11)) + -3*(sqrt(44)/(sqrt(4)*-1) - sqrt(11)). -5*sqrt(11) - 1 Simplify 3*(-6*(sqrt(320) + -1)*3)**2. -15552*sqrt(5) + 312012 Simplify (((sqrt(1377) + 4 + sqrt(1377) - sqrt(1377))*6 + 4)*4)**2*6. 290304*sqrt(17) + 4834176 Simplify -4 + 0 + (sqrt(36)/sqrt(3) - sqrt(297)/sqrt(11)) + 4. -sqrt(3) Simplify (4*((0 + sqrt(2))*2 - sqrt(6)/(sqrt(3)*-2 + sqrt(3)))*-1)**2. 288 Simplify sqrt(288) + ((sqrt(288) + 0)*-4 - sqrt(288)) + -2 + 1. -48*sqrt(2) - 1 Simplify ((sqrt(99) - (sqrt(99) + sqrt(99) + -1 - sqrt(99)))*4*-4)**2 - ((sqrt(110) - (sqrt(110) - sqrt(110)*1))*2)/(sqrt(1000)*1 - sqrt(10)). -2*sqrt(11)/9 + 256 Simplify 4 + (sqrt(960)/sqrt(12) + sqrt(5) - sqrt(40)/sqrt(2) - (sqrt(1715)*1)/sqrt(7)). -4*sqrt(5) + 4 Simplify (sqrt(3840) + (sqrt(3840)*5 - sqrt(3840))*3)/((sqrt(192)/sqrt(4))/sqrt(4)*5). 104*sqrt(5)/5 Simplify 2 + (sqrt(192)*1 + sqrt(21)/(2*sqrt(7)) + -3)**2 + 0. -51*sqrt(3) + 911/4 Simplify (6*-6*2*sqrt(121))/((-2*sqrt(396) - sqrt(11)) + sqrt(176)). 8*sqrt(11) Simplify -5*((0 + sqrt(2548) + sqrt(2548) + sqrt(2548))**2 - sqrt(65)/sqrt(80)*-6). -114660 - 15*sqrt(13)/2 Simplify (1*sqrt(78)/sqrt(2)*-3)/(sqrt(3) + sqrt(12)*-1 + (sqrt(3) - -2*sqrt(3))*-6). 3*sqrt(13)/19 Simplify 3 + ((sqrt(70) - (sqrt(70) + -3*sqrt(70) + sqrt(70))*3)/(-3*sqrt(40)/sqrt(4)))**2. 139/9 Simplify (1*(sqrt(228) - (sqrt(228)*2 + sqrt(228)) - sqrt(228)))/((sqrt(192) - sqrt(192)*-1) + sqrt(192)). -sqrt(19)/4 Simplify (((sqrt(180) + 1*sqrt(180))*-6 - sqrt(180))/sqrt(12))/(-5*sqrt(27)*5). 13*sqrt(5)/75 Simplify -2 + ((sqrt(20)*3)/sqrt(10) - sqrt(2)) - (sqrt(162)/sqrt(9) + (sqrt(8)/sqrt(4))**2*1). -4 - sqrt(2) Simplify (4*(sqrt(76) + sqrt(76)*3)*-4)/(sqrt(8)/((-4*sqrt(12))/sqr
{ "pile_set_name": "DM Mathematics" }
= -173 + 26. Let b be (-2)/5 + 37/5. What is the greatest common divisor of b and p? 7 Let d(p) = -p**2 + 19*p - 44. Let l be d(15). What is the greatest common factor of 40 and l? 8 Suppose -2*p - 28 = c, -2*p - 34 = -c - c. Let a be 6/(-4)*(1 + 1). Let w = a - p. Calculate the greatest common divisor of 132 and w. 12 Let t(b) = -2*b**3 - 3*b**2 + 4*b. Let s be t(-3). Let o be ((-6)/(-7))/(1/(-14)). Let w = -6 - o. What is the highest common divisor of s and w? 3 Suppose -25 = t - 5. Let h be (-16)/t*15/2. What is the highest common factor of 6 and h? 6 Suppose 0 = g + 3*a - 31 + 11, -2*g - 3*a = -28. Calculate the highest common factor of g and 20. 4 Suppose 2*k + 33 = 7*k + o, -2*o - 25 = -3*k. Let r(z) = 4*z**3 - 3*z**2 - 3*z - 2. Let h be r(3). What is the highest common divisor of k and h? 7 Let q be (-2)/((10/(-7))/5). Let i be q*(0 + (-30)/(-7)). Let h be (-181)/(-4) - (-1)/(-4). What is the greatest common divisor of i and h? 15 Let d = -11 - -8. Let h(w) = -16*w. Let f be h(d). Calculate the greatest common factor of f and 16. 16 Let r be ((-45)/4)/((-1 + 0)/4). Calculate the greatest common divisor of r and 15. 15 Let t(r) = -1 - 3*r**2 - 2*r + 6*r + 2*r**2. Let q be t(2). Calculate the greatest common factor of q and 3. 3 Suppose -x = -3*o + 3*x + 56, 4*o = 5*x + 75. Suppose q + 2*u + 6 = 0, 0*q + 40 = 5*q - 4*u. Calculate the highest common divisor of o and q. 4 Let y = 4 - 4. Suppose y*j = -2*j + 24. Let d = -5 - -13. What is the highest common divisor of d and j? 4 Suppose 5 = -5*o - r + 6*r, 3*r - 15 = 0. Suppose -o*i = -0*i - 520. What is the highest common factor of i and 52? 26 Let k(n) = n**3 + 6*n**2 - 6*n + 9. Let x be k(-7). Let z(j) = -3 + 3*j - 2 + x*j. Let y be z(5). What is the highest common factor of 5 and y? 5 Suppose 16 = a - 32. Suppose -p = -2*p + a. What is the highest common factor of 24 and p? 24 Let g = 13 - -1. What is the highest common divisor of g and 42? 14 Let w = -9 + 14. Suppose -3 = -w*s + 7. What is the greatest common factor of 5 and s? 1 Suppose 7*n = 672 + 21. Calculate the highest common divisor of 11 and n. 11 Suppose -5*n = -n - 220. Suppose n = z + 4*z. Suppose z = 2*v - 1. Calculate the highest common factor of 9 and v. 3 Suppose 52 = 4*t - 92. Calculate the highest common factor of t and 24. 12 Suppose w = -2*w - 18. Let z(p) = -p**2 - 11*p - 8. Let r be z(w). What is the greatest common factor of 11 and r? 11 Suppose 11*n + 580 = 21*n. What is the greatest common divisor of n and 58? 58 Let u be 1/(-4)*6*-2. Let w be 9/(-3) + 1 - -47. Let q = -12 + w. Calculate the highest common divisor of q and u. 3 Suppose 0 = -5*p + 8*p - 84. Calculate the highest common divisor of p and 12. 4 Suppose -3*x = 5*a - 5*x - 726, 0 = -4*a - x + 573. Suppose 96 = 5*m - 2*c, 3*m + c - 39 = -4*c. What is the greatest common factor of m and a? 18 Let i = 10 - 0. What is the greatest common divisor of 110 and i? 10 Let s = 7 + -13. Let v be (-70)/s - (-2)/(-3). Suppose -3*g + v + 4 = 0. What is the highest common factor of 25 and g? 5 Let k = -4 - -59. Let c = -87 + 60. Let v = 49 + c. Calculate the highest common divisor of k and v. 11 Suppose 3*d - 7 = 2. Suppose -2*g = d*g - 15. Suppose 3*a = -8*p + g*p + 56, a = -3*p + 36. What is the highest common divisor of 117 and p? 13 Let t be (-149)/2*(1 + 1). Let w = t + 289. Suppose 2*k + k - u - 76 = 0, -u = 5*k - w. Calculate the highest common divisor of k and 3. 3 Let o be 128 + 4 + 2 + -6. What is the greatest common divisor of 16 and o? 16 Suppose -n + 0*n = -34. Calculate the highest common divisor of 170 and n. 34 Suppose 2*a + f - 2 = -2*a, a - 4*f = 9. What is the highest common factor of 4 and a? 1 Let r = -26 - -29. What is the greatest common divisor of 3 and r? 3 Let c = -41 - -69. What is the greatest common divisor of 7 and c? 7 Suppose 0*i = 5*i - 200. Let a(h) = -h**2 + 6*h + 5. Let l be a(6). Calculate the greatest common divisor of l and i. 5 Let v(n) = 2*n**3 - 4*n**2 - 3*n - 8. Let u be v(4). Calculate the highest common factor of 132 and u. 44 Let j(w) = -w**3 + 2*w**2 - 2*w - 4. Let i be j(3). Let f = i + 34. What is the highest common divisor of f and 10? 5 Let l be (-4)/14 - 2160/(-63) - 2. Calculate the greatest common factor of l and 16. 16 Suppose -5*y + 35 = -2*x, -2*x = 2*y + 2*x + 10. Suppose -4*l + 5*u = 3 - 30, 0 = -y*l + u + 60. What is the highest common divisor of 65 and l? 13 Let i be (102/8)/((-9)/24). Let p = 45 + i. Suppose 4*c - 2*c = 66. Calculate the highest common factor of p and c. 11 Let q = -61 + 117. Suppose 16 = -3*m + 40. What is the highest common divisor of m and q? 8 Suppose -p = 2*p - 15. Suppose 2*b = -u + 94, 0 = -5*u + p*b - b + 484. Calculate the highest common factor of u and 24. 24 Let o be (-26)/(-6) + 4/(-12). Suppose 0*q - 3 = -2*q + 3*i, o*q - 1 = i. Suppose r - 3*r + 18 = q. What is the highest common divisor of r and 72? 9 Let r(y) = 3*y + 59. Let o be r(-11). What is the greatest common divisor of 26 and o? 26 Suppose 1 = w - 2. Suppose -w*m = -i - i - 19, 4*m - 12 = -4*i. Calculate the highest common factor of m and 5. 5 Let f(i) = -i**2 - 14*i + 8. Let g be f(-12). Let o be (-5)/(-2)*g/20. Calculate the highest common divisor of o and 16. 4 Suppose -4*s = -20 - 36. Let b = 403 + -278. Let a = b - 83. Calculate the highest common factor of s and a. 14 Let v(h) be the second derivative of 23*h**3/6 - h**2/2 - h. Let w be v(1). Suppose -5*y + 6*y - 55 = 0. Calculate the greatest common factor of w and y. 11 Let b(d) = -5*d + 2. Let j be b(2). Let l = -4 - j. Suppose -l*p = p - 180. Calculate the highest common divisor of 4 and p. 4 Suppose 4*n - 157 = 3*b, 5*b + 8 = 2*n - 67. What is the highest common factor of 10 and n? 10 Let g be (-4912)/(-64) - (-1)/4. What is the highest common divisor of g and 7? 7 Suppose -16 + 46 = 5*a. Let i = -13 + 31. What is the greatest common factor of i and a? 6 Suppose -2*p + 4*p = 4, -3*p = 5*o - 486. What is the greatest common factor of 12 and o? 12 Let p be (-50)/(-15)*(-6)/(-4). Suppose -3*k = 3*z - 2*z - 31, 0 = -5*k - p*z + 65. What is the greatest common factor of k and 9? 9 Let v be 5/((-10)/(-58)) + -1*1. What is the highest common divisor of v and 252? 28 Suppose 2*y - 42 = 70. Suppose -6*i + 43 + 5 = 0. Calculate the greatest common factor of y and i. 8 Suppose 3*k - k = 5*y + 43, -k - 3*y + 16 = 0. What is the highest common divisor of 95 and k? 19 Let t(p) = -p**2 - 2*p - 6. Let l be t(8). Let c = -29 - l. Calculate the highest common divisor of c and 19. 19 Let s be (-3 - -1)/((-2)/7). Suppose 0 = 30*q - 38*q + 616. Calculate the greatest common divisor of q and s. 7 Suppose -j - 5*c + 9 = 2*j, -3*c + 12 = 4*j. Let p = -23 + 30. Suppose -2*f = -5*g + 18, f + 3*g - 5*g = -p. Calculate the highest common divisor of j and f. 1 Let v(g) = -12*g**2 + 3*g**2 + 2*g**3 + 4*g**3 - 4 - 5*g**3 - 6*g. Let i be v(10). Calculate the greatest common divisor of i and 24. 12 Suppose 2*l = 9 - 3, -5*g - 3*l + 259 = 0. Suppose 12 = d - 4*m, 3*d - 2*m + 5*m - 66 = 0. Calculate the greatest common divisor of d and g. 10 Let f = -147 - -318. Let r(g) = 13*g - 2. Let z be r(3). Suppose -20 - z = -3*h. What is the highest common divisor of f and h? 19 Let g(d) = -4*d + 3. Let c be g(-3). Let s be ((-8)/(-3))/(5/c). What is the highest common divisor of 88 and s? 8 Suppose -4 = -k - 0. Suppose -20 = -k*z - 5*b + 84, 5*z - 85 = 5*b. Calculate the highest common divisor of z and 14. 7 Let j(x) = x**2 - 3*x. Let a be j(-3). Suppose -o - 30 = -t + 4*o, -t + a = -2*o. Calculate the highest common divisor of t and 30. 10 Suppose v - 104 = -3*v. Calculate the greatest common divisor of v and 65. 13 Suppose 2*p - g = 35, -4*p + 69 = -3*g - 0*g. What is the highest common factor of 144 and p? 18 Let n(q) = q**3 + 5*q**2 - 2*q - 6. Let d be n(-5). Suppose d*h = -2*h + 174. Calculate the greatest common divisor of h and 87. 29 Let a = 8 + -5. Let p(v) = v**3 + 7*v**2 + 6*v. Let r be p(-6). Suppose 4*z - 60 = -r*y - 4*y, -54 = -5*z + 2*y. What is the greatest common factor of z and a? 3 Suppose 0*k - 91 = -3*k - 2*i, 0 = 2*i + 8. Suppose -k = -2*v - v + 3*s, 4*v + s = 49. Suppose -2*o = 3*o - 60. What is the greatest common factor of o and v? 12 Suppose -5*d + 85 = 5*f + 5, -2*f =
{ "pile_set_name": "DM Mathematics" }
unded to the nearest one hundred? 2400 Let a = 101 + -7. Let h = a + -102.12. What is h rounded to zero decimal places? -8 Let v = 6597848 - 16584848. What is v rounded to the nearest 1000000? -10000000 Let z = -3 - 7. Let y = z + 27. Let b = y + -16.99999981. What is b rounded to seven dps? 0.0000002 Let l = 0.13099834 + -0.131. Round l to 7 decimal places. -0.0000017 Let j = 41 - 28. Suppose 17*o = j*o - 1732. Round o to the nearest one hundred. -400 Let o = -2.9 - -16.9. Let v = o + -13.89. Let n = v - 0.10999875. What is n rounded to 7 dps? 0.0000013 Let a = -12374199.50000038 - -12374204. Let x = a - 4.5. What is x rounded to 7 decimal places? -0.0000004 Let l(a) = a - 9. Let b be l(11). Let u be (-3)/b*2 - -3. Suppose 3*k + 0*k - 198000 = u. What is k rounded to the nearest ten thousand? 70000 Let f = -32.7 + 34. Let a = 7.3 - f. Let l = -5.997 + a. Round l to 2 dps. 0 Let z = 5226 + -61666. Round z to the nearest 1000. -56000 Let z = 0.1 - 0.7. Let v = 0.68 + z. Let f = v - 0.08025. Round f to four decimal places. -0.0003 Let x = 30 + -7. Let m = -0.304608 + -22.696492. Let t = x + m. Round t to 4 decimal places. -0.0011 Let r = 128 - -233. Round r to the nearest 10. 360 Let m = 6 + -6. Let b = 72 - m. Let p = b + -72.132. What is p rounded to 2 dps? -0.13 Let o = 8.9984 + -9. Round o to 4 decimal places. -0.0016 Let l = -7778 + -4742. Round l to the nearest one thousand. -13000 Let f = -462.2 + 406. Let j = -52 - f. Round j to zero dps. 4 Let d be (33/6)/(2/4). Let w be 58000/(-1 - d/(-10)). Round w to the nearest 100000. 600000 Let c = -74.927 - 0.073. Let i = 21.11643 - -53.8842. Let b = i + c. Round b to four decimal places. 0.0006 Let y = 6894.5822 - -82.5218. Let k = y - 6946. Let z = k - 31. What is z rounded to two decimal places? 0.1 Let q = -0.0359735 - -0.036. Round q to five dps. 0.00003 Let j = -19.44 - -12. What is j rounded to the nearest integer? -7 Let p = 2.05 + -16.95. What is p rounded to 0 decimal places? -15 Let b = 1873.8 + 439.2. Let k = -2390.18 + b. Let r = -78 - k. What is r rounded to 1 decimal place? -0.8 Let b = 150482.399952 + -150484. Let h = -1.5 + -0.1. Let z = b - h. Round z to 5 decimal places. -0.00005 Let f(s) = -4*s**3 + 7*s**2 - 5*s - 14. Let a(t) = -t**3 - t**2 + t - 1. Let h(y) = -3*a(y) + f(y). Let d be h(9). Round d to the nearest 10. 0 Let d = 13 + -10. Suppose 129001 = 5*k - d*f + 488992, 143985 = -2*k + 5*f. Round k to the nearest 10000. -70000 Let k = -20 + 23. Suppose -14 = -k*f + f. Let g(y) = -178*y**2 + 3*y + 1. Let j be g(f). Round j to the nearest one thousand. -9000 Let d = 83.73549 - 86.6977616. Let r = -208.9636816 - d. Let s = r - -206. Round s to 4 decimal places. -0.0014 Let p be 3992/4 + 2*1. Suppose 8*g = -7*g + 8*g. Suppose g = -2*c + 3780 + p. Round c to the nearest one hundred. 2400 Let z = -85.00000592 - -85. What is z rounded to seven decimal places? -0.0000059 Let w = 37990 + -65799. Let b = 16009 + w. Round b to the nearest 1000. -12000 Let h be (-2)/6*0 + 1620. Let t(i) = -h*i - 7 + 859*i - 1908*i. Let z be t(-3). What is z rounded to the nearest 10000? 10000 Let p = 14000.06047 - 14000. What is p rounded to 2 decimal places? 0.06 Let m be -8*((-6813)/(-6))/(-1). Let o = -26884 + m. What is o rounded to the nearest 1000? -18000 Let w = -0.0367 + 0.037655. Round w to 5 dps. 0.00096 Let m = 133.3 + 3.7. Let g = -79 + m. Let v = g - 58.0000051. Round v to six decimal places. -0.000005 Let r be 2/(-6) - 949888/(-12). Let l(w) = 48373*w + 38. Let t be l(3). Let g = t - r. What is g rounded to the nearest 10000? 70000 Let i be 5/4 + (-194000125)/100. What is i rounded to the nearest one hundred thousand? -1900000 Let q = -9052.1 - -8370. What is q rounded to the nearest ten? -680 Let t = -2069 - -2188.3. What is t rounded to the nearest ten? 120 Let x = 1.4 + 54.2. Let n = -73 + x. What is n rounded to 0 decimal places? -17 Let m = 0.067 + 14.003. Let x = m + -0.27. What is x rounded to 0 decimal places? 14 Let r = -0.201 - -0.15. Let q = r + 0.05216. What is q rounded to 4 decimal places? 0.0012 Let o = 54.362189 - 54.36. Round o to 4 decimal places. 0.0022 Let m(b) = -12*b - 8. Let a be m(6). Let p = a + 86. Round p to the nearest ten. 10 Let i = -5891359 + 3907359. Round i to the nearest one hundred thousand. -2000000 Let g = -11.3 + 17.4. Let h = g + -7.48. What is h rounded to 1 decimal place? -1.4 Suppose 2018800 = -46*n + 18*n. Round n to the nearest 10000. -70000 Let a be (1/(-2))/((10/4)/(-5)). Let w be 500/(1*a/300). Round w to the nearest 10000. 150000 Suppose -4*t = 4*t - 48. Suppose -t*p - 1050000 = -13*p. Round p to the nearest 100000. 200000 Let r = -105.9 - -98. Let h = 7.9000731 + r. Round h to 5 decimal places. 0.00007 Let w = -1477.000002163 + 1477. Round w to 7 dps. -0.0000022 Let t = 325 + 346. Suppose 0*u + 2*u = -3*r + t, -3*u + 1032 = -4*r. What is u rounded to the nearest one hundred? 300 Let h = -1 + 4. Let p = 8 - h. Let v(d) = -160001*d + 5. Let z be v(p). Round z to the nearest one million. -1000000 Let a = -22.95207108 + -0.04775892. Let z = -23 - a. Round z to four decimal places. -0.0002 Let l = 40.093 - 40. Let y = l - 0.093211. Round y to four decimal places. -0.0002 Let h = -99.83257 - 5.17213. Let c = h + 105. What is c rounded to 3 decimal places? -0.005 Let j = 0.135 - 63.135. Let v = j + 62.99988. What is v rounded to five decimal places? -0.00012 Let r = -2265.65 - -2288. What is r rounded to the nearest integer? 22 Let c = 47 + -13. Let a = c + -25.3. What is a rounded to the nearest integer? 9 Suppose 44*u + 135000 = 17*u. Round u to the nearest one thousand. -5000 Let p = -82.28 + 71.6. What is p rounded to the nearest integer? -11 Let b = 11.7 + 15.3. Let v = 0.0676912 + 26.9317888. Let a = b - v. Round a to 4 dps. 0.0005 Let l be 6/((-24)/(-4) - 4). Suppose l*y + 27576 = -5424. Round y to the nearest 10000. -10000 Let r be (35 - 25)/((-1)/38500). What is r rounded to the nearest 100000? -400000 Suppose 0 = -281*o + 295*o + 49420000. Round o to the nearest 100000. -3500000 Let c be 0/((-3 - 0)*1). Suppose c = -3*i + 3*k + 2220009, -i - 3*k + 86081 = -653910. What is i rounded to the nearest 100000? 700000 Suppose t - 1522 = -2*d, 0*t + 1517 = t + d. Let a be (18*219/6)/((-15)/(-5240)). Suppose a = 3*z + t. What is z rounded to the nearest ten thousand? 80000 Suppose 2*s = -2 - 4, -2*t - s + 7 = 0. Suppose -2*x - x - 3 = 0, c = t*x + 39964. Let z = -17559 + c. Round z to the nearest one thousand. 22000 Let g = 96.0229 + -96. Let u = -4.3071 - g. What is u rounded to the nearest integer? -4 Let h = -1.65 - -0.9. Let x = -0.16 + h. Let b = 1 + x. Round b to 2 decimal places. 0.09 Let b = 19 + -19.014. Let a = b - 0.0008. What is a rounded to 3 dps? -0.015 Let c = 3237.871 + -3240. What is c rounded to 1 decimal place? -2.1 Let z(a) = -2*a + 24. Let r be z(12). Suppose r = -4*f - f - 505. Round f to the nearest 10. -100 Let l = 1312.000996 - 1312. Round l to five dps. 0.001 Let t(a) = 3*a**2 + 3*a - 4*a - 192*a**3 + 1193*a**3 + 4*a + 2. Let o be t(-2). What is o rounded to the nearest 1000? -8000 Suppose 5*w = 3*u - 10795009, -w + 137*u - 136*u - 2159003 = 0. Round w to the nearest one hundred thousand. -2200000 Suppose 0 = -d + 2*c + 281002, -2*d + 1405002 = 3*d - 2*c. Round d to the nearest 10000. 280000 Let f = 708 - 709.308. Round f to 1 decimal place. -1.3 Let n = 1310.2 - 1938.3. What is n rounded to the nearest ten? -630 Let s = 5.02 - -22.07. Let p = s - 46.114. Let r = 19 + p. Round r to 2 dps. -0.02 Let n(z) = -2*z - 6. Let t be n(-4). Suppose -4*k - 210 = -t*k. Round k to the nearest ten. -110 Let j = -4 - 23. Let b = 27.0000012 + j. What is b rounded to 7 dps? 0.0000012 Let g = -0.0296 + 51.4296. What is g rounded to the nearest ten? 50 Let a = 0.7 - 0.45. Let p = 3.9 - 3. Let c = a - p. Round c to 1 dp. -0.7 Let g = -0.592004108 - -0.592. What is g rounded to 7 dps? -0.0000041 Let y = -495528 + 504003.12. Let p = -8476.3199904 + y. Let o = 1.2 + p. Round o to 6 dps. 0.00001 Let a = 0.0224374 + -0.0225. What is a rounded to six decimal places? -0.000063 Let q = -0.0040152 + 0.004. Round q to five decimal places. -0.00002 Let d be -1*(-1)/(-5) - (-12378)/15. Suppose 3*c + 3*q - d = 0, 188 + 77 = c - 4*q. What is c roun
{ "pile_set_name": "DM Mathematics" }
tens digit of d? 8 Suppose -l = -c + 4*l + 3, -2*c - 3*l = -45. Let t be ((-76)/(-6) - 1)*6. Suppose t = 2*d + c. What is the units digit of d? 6 Let y(w) be the third derivative of 19*w**5/60 - 7*w**4/24 + 7*w**3/3 - 2*w**2. What is the tens digit of y(3)? 6 Suppose -3*i - q - 2 = -6, 14 = 3*i - q. Suppose 0 = 2*c + i*c - 10. Suppose c*s = -s + 84. What is the tens digit of s? 2 What is the hundreds digit of (-1740398)/(-1195) + (-4)/10? 4 What is the units digit of -3393*((-14)/(-3) + -5)? 1 Let j = 10 - 7. Suppose 2*l + 2*q = 122, 2*l - j*l = -4*q - 61. What is the tens digit of l? 6 What is the units digit of (-40)/(-180) + (-14378)/(-18)? 9 Let b(g) = -g + 2. Let t be b(14). Let r be (t/9)/(4/6). What is the tens digit of 3/r*(-68)/3? 3 Let v(u) = -10*u**3 - u**2 + 4*u - 1. Let q(t) = t**3 - t. Let f(b) = -3*q(b) - v(b). What is the tens digit of f(2)? 5 Let u(l) = -l + 62. Suppose 0 = -y - 2*i + i, 0 = 4*y - 2*i. What is the units digit of u(y)? 2 Suppose 3 = 5*b - 7. Suppose b*z = -3*f + 40, -2*z + 68 = 5*f - 0*z. What is the units digit of (-8)/14 - (-232)/f? 6 Let w be 3 + 702/12 - (-1)/2. Suppose 11*h - 9*h = w. What is the tens digit of h? 3 Let c(i) = -i**3 + 21*i**2 - 16*i - 29. Let m(j) = 86*j + 3 - 1 - 84*j. Let z be m(9). What is the units digit of c(z)? 1 Let f be (3 + -4 + 1)/(-1). Suppose 339 = -f*s + 3*s. What is the hundreds digit of s? 1 Let n = 735 - 507. Suppose -4*p = 5*i - n, 63 = i - 4*p - p. Let m = -22 + i. What is the tens digit of m? 2 Let p = -271 + 380. Let b = p + -69. What is the units digit of b? 0 Let g = 14 + -14. Let i(o) = o**2 - 2*o. Let h be i(g). Suppose h = w + 5, q + 2*q - w - 47 = 0. What is the tens digit of q? 1 Let z(s) = s**2 - 5*s + 3. Let i be z(3). Let o = -49 - -241. What is the tens digit of (o/(-36))/(1/i)? 1 Suppose 0 = -8*u + 800 + 4904. What is the hundreds digit of u? 7 Let b = 143 - -508. What is the units digit of b? 1 Let q be 0 + (3 - 0) - -79. What is the tens digit of -3 + 1/(2/q)? 3 Suppose 0 = 9*v + 8*v - 1938. What is the hundreds digit of v? 1 What is the hundreds digit of (-422 + -2 - 0)*-1? 4 Suppose 8*f - 110 = 3*f. Suppose 2*v - 20 = -4*t, t - v = 6*t - f. Suppose -22 = t*m - 5*m. What is the units digit of m? 2 Let l = 15 - 8. Suppose -l*t + 245 = -2*t. What is the tens digit of t? 4 Let n = 3850 + -2099. What is the tens digit of n? 5 Let v = 174 + -80. What is the units digit of v? 4 Let u be -1 + 151 + (32/(-4))/(-2). Suppose -z = -t + 86 + u, -1196 = -5*t + 3*z. What is the units digit of t? 8 Suppose -30*q - 18423 = -80013. What is the hundreds digit of q? 0 Let s be (30/(-18))/(1/(-9)). Let h(u) = -4*u - s*u + 21*u + u**3 + 76. What is the tens digit of h(0)? 7 Let k(m) = -m**2 - 5*m - 4. Let b = -13 + 11. What is the units digit of k(b)? 2 Let x = -17 + 20. Suppose i + 1 = -1, -x*i + 183 = 3*d. What is the tens digit of d? 6 Suppose 3*p - 25 = -4. Let t(d) be the first derivative of d**4/4 - 2*d**3 - d**2 + 6*d + 3. What is the units digit of t(p)? 1 Let p = 4 - 0. Suppose -p*u + 126 = -2*b, 5*b + 141 = 5*u - u. Let d = u - 13. What is the tens digit of d? 1 Suppose -5*g + 0*g = -m + 300, -3*g = -5*m + 1522. What is the tens digit of m? 0 Let f(x) = -3*x + 2. Let z = 3 + -1. Let c be f(z). Let r = c + 19. What is the units digit of r? 5 Suppose 4*w = 5*d + 856 - 284, -3*d = w + 350. Let a be d/(-12) + (-2)/3. Let f = a - -1. What is the tens digit of f? 1 Suppose 4 = -a + 1. Let p be a/2 - (-12)/(-8). What is the tens digit of p + -3 + 4 - -29? 2 Suppose y - 20257 = -5*l, -3*y + 1039 + 3004 = l. What is the thousands digit of l? 4 Let q(w) = 12*w**2 - 4*w + 5. What is the units digit of q(-6)? 1 Suppose 0 = 4*u - 2*u - 2*r - 2, -4*u + 3*r + 7 = 0. Suppose -5 = -3*a + u*x + 305, -528 = -5*a + x. Let t = -45 + a. What is the units digit of t? 1 Let g be 3/6*(-528)/(-4). Suppose -h = -5, -4*h + g - 4 = 3*d. What is the units digit of d? 4 Let n = 546 + 1164. What is the units digit of n? 0 Suppose 4*f + 4*y = f + 28, 8 = 2*y. Suppose -f*b + 7 = -3*p - 6, 5*b - 23 = -3*p. Suppose 3*h - 3*d = -b*d + 126, -d = 4*h - 168. What is the units digit of h? 2 Let q(k) = 2*k**2 - 26*k + 6. What is the units digit of q(-22)? 6 Let a(b) be the second derivative of 13*b**3/3 - 2*b**2 + 37*b. What is the units digit of a(8)? 4 Suppose 5 = 5*f + 5*v, 4*f - 20 = 5*v + 2. Suppose -f*i - i - 48 = 0. What is the units digit of (i/(-10))/((-9)/(-60))? 8 Let b(j) = -j**3 + 5*j**2 - 3*j + 4. Let y be b(4). What is the units digit of y*8 + (3 - 2)? 5 Let m(g) = -18 - 48*g - 42*g + 2*g**2 + 4 + 94*g. What is the tens digit of m(-10)? 4 Let r(i) be the third derivative of i**6/120 - i**5/20 + i**4/12 - 4*i**3/3 - 7*i**2 - 16. Suppose 3*s - 9 - 3 = 0. What is the units digit of r(s)? 6 Suppose 166 = 8*y - 610. Suppose 5*j - 3*l - 339 = 0, 0*j + 140 = 2*j + l. Suppose -2*r - j = -3*z + y, 0 = -5*z + 5*r + 275. What is the tens digit of z? 5 Let s = -4306 - -9084. What is the units digit of s? 8 Suppose 3*v - 188 = a, -4*a + 922 = -9*a - 3*v. Let h = 443 + a. What is the hundreds digit of h? 2 Let y = 14 - -4. What is the units digit of y? 8 Let p(c) = 2*c**2 - 3*c - 95. What is the tens digit of p(-21)? 5 Let l(c) = 35*c**2 - 4*c + 5. Let w be l(3). Let n = w + -212. What is the units digit of n? 6 Suppose p - 9 = 160. Let r = 252 - p. What is the tens digit of r? 8 Suppose 7*t = -p + 5*t + 805, -2*t - 3200 = -4*p. What is the hundreds digit of p? 8 Suppose -2*t - 2*k = -2070, 7*t + k = 3*t + 4149. What is the units digit of t? 8 Let g(m) be the second derivative of -5/6*m**4 + 0 + 1/2*m**2 - 5/3*m**3 + 1/20*m**5 - 5*m. What is the units digit of g(11)? 2 Suppose -13*a + 33*a - 8800 = 0. What is the tens digit of a? 4 What is the tens digit of 105/42*(1148 + 4)? 8 Suppose 4*f + 187 = -t, 5*f - 5*t + 84 = -181. Let m = 45 + -73. Let k = m - f. What is the tens digit of k? 2 What is the units digit of (-9 - 1)/(4 - (-498)/(-123))? 5 Let d be (-1)/(-2)*(1 + -3). Let q be 16/6*(5 - d). What is the units digit of (q/(-12))/(-2)*12? 8 Suppose -7*a + 9792 = a. What is the units digit of a/15 - (-9)/(-15)? 1 Let s(b) = -b**2 - 11*b - 7. Let y(x) = -x**3 - 6*x**2 - 5*x + 2. Let w be y(-4). Let q be s(w). Suppose 2 = q*i - 1. What is the units digit of i? 1 Let s(l) = -l**2 + 49*l - 186. What is the units digit of s(27)? 8 Let r be (-2)/11 - 1595/(-121). Let h = -12 + r. What is the tens digit of (3*12 - -1)*h? 3 Let u = 57 - 66. What is the tens digit of (3/(-2))/(u/474)? 7 Suppose -1436*n + 1788 = -1432*n. What is the hundreds digit of n? 4 What is the hundreds digit of 297 + (-1 - 2) - 1? 2 Suppose 9*q = 4*y + 4*q - 220, q - 244 = -4*y. What is the units digit of 345/y + (-2)/(-8)? 6 Let s(j) = 41*j**2 + 11*j - 18. What is the hundreds digit of s(6)? 5 Let v be 4 + (-2 - (-2 + 1)). Suppose j = 6*t - v*t + 24, -2*j + 5*t = -47. What is the tens digit of j? 2 Suppose -14*b - 755 = -8273. What is the tens digit of b? 3 Let x = 13 + -8. Suppose 2*h + 309 = x*h. What is the tens digit of h? 0 Let g = 5477 - 3062. What is the thousands digit of g? 2 Let s(u) = 916*u - 349. What is the units digit of s(4)? 5 Suppose 8 = -4*y, -4*p - 2*y + 5484 = -0*p. What is the hundreds digit of p? 3 Let v be (16/10)/((-32)/(-80)). Let h be 1 - (3 + -15 + v). Let g = h - -15. What is the units digit of g? 4 Suppose 2*h - h - 50 = 0. Suppose 4*c - h = 5*w, -w = 3*c - 0*c - 9. What is the units digit of (-14)/w - 2/(-3)? 3 Suppose -12*y - 7590 = -10*y. What is the units digit of 2/5 - y/75? 1 Let i(y) = y - 3. Let k be i(3). Suppose 0 = 4*p - 5*z - 23, k = p + z + 2*z - 10. Suppose 4*a + 111 = p*a. What is the tens digit of a? 3 Suppose -4*q = 3*a - 3040, 5*q - 4*a - 719 = 3081. What is the units digit of (q/(4 + 1))/2? 6 Suppose 2*v - 10 = 2*f, 0 = -4*v + 3*v - 3*f + 9. Let m(d) be the first derivative of 4*d**2 - 5*d + 9. What is the units digit of m(v)? 3 Let a = -3275 + 6787. What is the units digit of a? 2 What is the units digit of ((-14)/(56/(-44)))/(1/29)? 9 Let g(n) = 19*n + 14. Let d(b) = -1. Let q(s) = -5*d(s) - g(s). What is the units digit of q(-4)? 7 Suppose -408 = -5*q + t, q = 2*t + 12 + 66. Let o = 172 - q. What is the tens digit of o? 9 Let f be (-1)/(-3) - 22/(-6). Suppose 0*v - 12 = -f*k - 4*v, 5*v
{ "pile_set_name": "DM Mathematics" }
+ 0*j**4. Find the third derivative of g(i) wrt i. 384*i Let p = 16 + -16. Suppose 14*j - 18*j + 12 = p. What is the second derivative of -l + 9*l**3 - 5*l + j*l - 3*l wrt l? 54*l Find the second derivative of -11*v**2 - 9*v**2 - 124*v - 3*v - 256*v + 6*v**2 wrt v. -28 Let a(p) be the first derivative of 4207*p**4/4 - 22*p**2 - 18*p - 1335. Find the second derivative of a(x) wrt x. 25242*x Let w(c) be the first derivative of 33 - c**2 - 118/3*c**3 - 19*c. What is the second derivative of w(l) wrt l? -236 Let w(c) = -1. Let m(v) = -18 - 13 - 10*v**2 - 37*v**2 + 8*v**2 - 8*v**2. Let f(i) = m(i) - 5*w(i). What is the derivative of f(u) wrt u? -94*u Let d(p) = -16*p**3 + 2*p**2 - 3*p - 4. Let l be d(-1). Find the third derivative of 45*r**2 - l*r**2 - 29*r**2 - 12*r + 76*r**5 wrt r. 4560*r**2 What is the second derivative of -373*a + 1258*a - 5636*a**5 + 888*a wrt a? -112720*a**3 Let g(z) = z**3 + 4*z**2 + 4*z + 5. Let n be g(-3). Find the second derivative of -u**5 + 0*u**5 - 3*u**2 + n*u - 1858 + 1838 wrt u. -20*u**3 - 6 Let c = 108 - 166. Let p = -55 - c. What is the second derivative of 30*z**p - 114*z + 103*z + z**3 wrt z? 186*z Let i(g) be the second derivative of -g**6/15 + 623*g**5/20 - 5*g**4/4 + 35*g**3/6 - 71*g + 2. Find the third derivative of i(t) wrt t. -48*t + 3738 Suppose 9*h = 8*h. Let i(x) = -x**3 - x**2 - 2*x + 6. Let p be i(h). What is the third derivative of -v**6 - 2*v**6 - 6*v**p - 4*v**2 + 8*v**2 wrt v? -1080*v**3 What is the derivative of 316 - 3810*n**3 - 1750 + 4061*n**3 wrt n? 753*n**2 Let o be (-54)/144 + (-139)/(-8). What is the second derivative of -35*m - 8*m + 42*m**2 + 7*m + o*m**2 wrt m? 118 Let g(a) = -a**3 + 37*a**2 - 73*a + 107. Let b be g(35). What is the third derivative of 0 + 83*r**4 + 0 + r + 63*r**b - 142*r**2 + 65*r**2 wrt r? 1992*r Find the second derivative of 9060*w**2 + 0 + 4188*w**2 - 15897*w - 2874*w**2 + 0 wrt w. 20748 Suppose -22 = 276*h - 277*h. What is the derivative of -u**2 - 11 + h - 6*u + 17 + 13*u wrt u? -2*u + 7 Let n(x) be the first derivative of -45/2*x**2 - 49 - 38*x. Find the first derivative of n(w) wrt w. -45 Let n(l) be the third derivative of -l**5/10 + 11*l**4/2 - 1947*l**3/2 + 209*l**2 + 5*l + 2. What is the first derivative of n(x) wrt x? -12*x + 132 Let h(v) be the third derivative of -v**5/60 - 43*v**4/6 + 878*v**3/3 + 1920*v**2. What is the first derivative of h(x) wrt x? -2*x - 172 Let x(j) be the second derivative of 3407*j**3/6 + 7635*j**2/2 + 649*j - 2. Differentiate x(w) with respect to w. 3407 Suppose 0 = -3*t - 6*t + 130194. Find the third derivative of p**5 - 2 - 2*p**5 + t*p**2 - p**5 - 41*p**6 - 14442*p**2 wrt p. -4920*p**3 - 120*p**2 What is the derivative of -9*f + 82 + 9*f - 45*f**2 + 267 + f + 535 wrt f? -90*f + 1 Let y = -4 - -3. Let u(z) = 146 - 73 - 72. Let m(k) = 3*k**2 - 13. Let x(h) = y*m(h) + 2*u(h). What is the derivative of x(b) wrt b? -6*b Let w(l) be the third derivative of -1691*l**6/30 - 81*l**5/10 + l**3 - 3038*l**2. Find the third derivative of w(p) wrt p. -40584 Let h(p) = -22136*p**2 - 352*p + 33. Let g(v) = 5533*v**2 + 89*v - 7. Let w(z) = -9*g(z) - 2*h(z). What is the second derivative of w(b) wrt b? -11050 Let i(a) be the first derivative of 19*a**7/70 + a**4/24 + 139*a**3/6 - 25*a**2 - 63. Let k(p) be the second derivative of i(p). Differentiate k(j) wrt j. 228*j**3 + 1 Let k(o) be the third derivative of 0 + 0*o**4 + 43/60*o**5 + 0*o + 307/6*o**3 - 105*o**2. Differentiate k(p) wrt p. 86*p Let q be 0 + -2 + (-6)/2. Let m(u) = 26*u - 33. Let f be 4 + 4 - (5 - (-1 + -4)). Let g(l) = -13*l + 17. Let o(s) = f*m(s) + q*g(s). Differentiate o(j) wrt j. 13 Let p(o) be the third derivative of 123*o**5/4 - 7*o**3/6 + 2*o**2 - 121*o. Differentiate p(l) wrt l. 3690*l Suppose 16 - 4 = 4*w. What is the second derivative of -w + 10254*k + 0 - 10255*k + 123*k**2 wrt k? 246 Let y(m) be the first derivative of 49 - 10*m**2 - 36*m**2 - 36*m**2 - 4*m**2 - 111*m - 50*m. Find the first derivative of y(v) wrt v. -172 Let n(k) = -77*k - 29. Let m be n(-1). Find the first derivative of -23 - 22 - 143*s - m + 19 wrt s. -143 Let p(y) be the third derivative of -74*y**9/63 + 701*y**5/60 - 2*y**2 + 5. What is the third derivative of p(l) wrt l? -71040*l**3 Let w(r) be the second derivative of -1823*r**4/12 + 2*r**3/3 + 227*r**2/2 + 3*r - 810. Find the second derivative of w(k) wrt k. -3646 Let t(a) be the first derivative of 3832*a**3 + a**2 - 3291*a + 5621. What is the second derivative of t(n) wrt n? 22992 What is the first derivative of 50847*i**2 + 45670*i**2 - 92526*i**2 + 1632 wrt i? 7982*i Let y(c) be the first derivative of -216 + 29/2*c**2 + 353*c. What is the first derivative of y(j) wrt j? 29 Let b(d) = -934*d - 802. Let w(x) = 932*x + 802. Let s(r) = 8*b(r) + 9*w(r). Differentiate s(l) with respect to l. 916 Let a(c) = 7 + 9 - 1. Let i(w) = w - 14. Suppose -k + 12 = -3*k. Let t(h) = k*a(h) - 5*i(h). What is the first derivative of t(x) wrt x? -5 Let x(m) be the first derivative of 8*m**5/5 - 95*m**4/4 + 687*m - 3403. What is the derivative of x(q) wrt q? 32*q**3 - 285*q**2 Find the first derivative of 2790 + 3551 + 2988*a**2 + 3112*a**2 - 1360 wrt a. 12200*a Let x(f) be the second derivative of 887*f**4/12 - 11*f**3/3 + 15*f**2/2 - 11*f - 13. What is the second derivative of x(v) wrt v? 1774 Let f be 14 - 3 - 7 - 3. Let l(j) = -j**3 - j**2. Let k(x) = 134*x**4 - 5*x**3 - 5*x**2 - 120. Let u(d) = f*k(d) - 5*l(d). Differentiate u(y) wrt y. 536*y**3 Let v = 6217/3 - 2069. Let p(l) be the third derivative of 4*l**2 + 0 + v*l**3 + 0*l**4 + 0*l + 9/20*l**5. Find the first derivative of p(o) wrt o. 54*o Let p(i) be the second derivative of 11*i**6/8 - 19*i**3 + 55*i**2 - i + 7. Let g(w) be the first derivative of p(w). What is the derivative of g(q) wrt q? 495*q**2 Let p(d) = -4121*d**2 + 7*d + 154. Let o(g) = -1372*g**2 + 2*g + 51. Let u(m) = 8*o(m) - 3*p(m). Find the second derivative of u(i) wrt i. 2774 Let q(i) = 18973*i**3 + 5*i**2 - 115*i - 21773. Let l(g) = -9487*g**3 - 3*g**2 + 69*g + 10886. Let v(z) = 5*l(z) + 3*q(z). Differentiate v(m) wrt m. 28452*m**2 Let t(y) be the first derivative of -1932*y**2 - 10170*y + 6716. What is the first derivative of t(h) wrt h? -3864 Let j(i) be the third derivative of -i**9/504 + 11*i**8/4 + i**7/210 + 17*i**5/15 + 44*i**3/3 - 2*i**2 + 2083*i. What is the third derivative of j(n) wrt n? -120*n**3 + 55440*n**2 + 24*n Let b(p) be the first derivative of 61*p + 65/2*p**2 - 29. What is the first derivative of b(r) wrt r? 65 Let q(w) be the second derivative of w**6/30 + 681*w**5/20 + w**4/2 + 12*w**3 + 725*w. Find the third derivative of q(b) wrt b. 24*b + 4086 Suppose 17*g = 24*g - 280. Suppose 52 - g = 3*l. Differentiate 24 + 7879*m**3 + 23*m**l - 7879*m**3 wrt m. 92*m**3 Let t(u) be the second derivative of 293*u**4/2 - 362*u**2 + 238*u + 2. Differentiate t(k) with respect to k. 3516*k Let z(g) = 179*g**3 - 15*g**2 - 5*g + 1558. Let x(l) = 3*l**2 - 1. Let a(c) = 5*x(c) + z(c). Differentiate a(h) wrt h. 537*h**2 - 5 Find the third derivative of 4610 + 7*p**2 + 1093*p**5 - 4787 - 6*p**2 wrt p. 65580*p**2 Let r(x) = -23408*x**4 - 77*x**3 + 77*x**2 + 5586. Let l(k) = -616*k**4 - 2*k**3 + 2*k**2 + 147. Let c(i) = -77*l(i) + 2*r(i). Differentiate c(j) wrt j. 2464*j**3 Let l(m) = -7447*m**2 + 95*m + 55. Let p(n) = 7443*n**2 - 95*n - 55. Let y(k) = -5*l(k) - 4*p(k). Find the second derivative of y(s) wrt s. 14926 Let t(g) = -g**3 + 6*g**2 + 6*g - 4. Let w be t(6). Let d be 4*-6*(-12)/w. What is the second derivative of -11*q - 3*q**3 - 8*q + d*q**3 + 13*q wrt q? 36*q Differentiate -100 - 29 + 944 + 1857*f with respect to f. 1857 Let c(b) = 47*b - 69. Let g be c(6). Differentiate -15*m**2 - 2*m**2 - 35 + g - 21*m**2 wrt m. -76*m What is the second derivative of -1792*p**2 - 421592*p - 1944*p**2 + 422870*p wrt p? -7472 Let d(h) be the first derivative of 4*h**7/7 + 17*h**6/6 - 6*h**5/5 + 4*h**3/3 - 4*h - 5726. What is the third derivative of d(a) wrt a? 480*a**3 + 1020*a**2 - 144*a Suppose -73*o = -66*o - 49. What is the second derivative of -151*v**2 - 79*v**2 + 219*v**2 - 2*v + o - 86*v**2 wrt v? -194 Suppose 31*n = 2*n + 250386. What is the second derivative of 79 - 2*l - 8805*l**5 + 0*l + n*l**5 wrt l? -3420*l**3 Let n(g
{ "pile_set_name": "DM Mathematics" }
hat is the common denominator of -107/24 and 83/103448? 310344 What is the least common multiple of 986 and 6438? 109446 Calculate the common denominator of -3/2 and 37/49680. 49680 Find the common denominator of -62/135153 and -63/4. 540612 What is the common denominator of -71/12 and 89/508? 1524 Find the common denominator of 91/7912 and 35/172. 7912 Calculate the lowest common multiple of 228 and 30. 1140 Calculate the common denominator of 89/7204 and -67/5403. 21612 Calculate the common denominator of -64/3087 and -101/52920. 370440 Calculate the lowest common multiple of 46284 and 40. 462840 What is the lowest common multiple of 160 and 82964? 3318560 Calculate the common denominator of -83/304 and -39/70412. 5351312 What is the common denominator of 13/6 and 25/525584? 1576752 What is the common denominator of -109/242 and 83/107580? 1183380 Calculate the common denominator of 80/513 and 65/6. 1026 What is the common denominator of 39/1298 and -25/119416? 119416 Calculate the common denominator of 29/607 and 25/24887. 24887 What is the common denominator of -17/168 and 91/6324? 88536 Calculate the lowest common multiple of 7000 and 1400. 7000 Calculate the common denominator of 65/14882 and 11/42. 44646 Find the common denominator of -49/548 and 51/22730. 6228020 Calculate the smallest common multiple of 3222 and 9666. 9666 Calculate the common denominator of 133/9890 and -1/122. 603290 Calculate the common denominator of -45/23414 and 137/6. 70242 What is the lowest common multiple of 315 and 8610? 25830 What is the common denominator of -139/48 and 55/15584? 46752 What is the smallest common multiple of 79 and 12024? 949896 What is the common denominator of 73/11060 and 31/45820? 320740 What is the smallest common multiple of 806212 and 403106? 806212 Calculate the least common multiple of 6036 and 8048. 24144 What is the lowest common multiple of 553 and 529? 292537 What is the smallest common multiple of 3041 and 215911? 215911 Calculate the common denominator of 41/17897 and 36/11389. 125279 Calculate the common denominator of -77/1448360 and 97/1448360. 1448360 What is the smallest common multiple of 267902 and 6258? 5625942 Calculate the smallest common multiple of 1078 and 1022. 78694 Calculate the lowest common multiple of 325 and 10. 650 Calculate the common denominator of -103/127944 and -107/18. 127944 Calculate the smallest common multiple of 104808 and 429. 1362504 What is the least common multiple of 23400 and 95238? 9523800 Find the common denominator of -43/10180 and 77/20360. 20360 Calculate the common denominator of -125/141336 and -1/42. 989352 What is the common denominator of -42/95 and 79/225? 4275 What is the common denominator of -109/113160 and 137/2760? 113160 Calculate the common denominator of 3/31759 and 47/2354703. 16482921 Calculate the least common multiple of 77 and 77. 77 What is the common denominator of 83/7458 and -61/14916? 14916 What is the common denominator of 113/27810 and -115/1268136? 6340680 Calculate the common denominator of -22/135 and -53/192. 8640 What is the least common multiple of 307956 and 165? 1539780 Find the common denominator of 85/144 and 145/2004. 24048 What is the smallest common multiple of 2136 and 237808? 713424 Calculate the common denominator of 55/50964 and -107/789942. 1579884 What is the common denominator of 117/6920 and -89/1038? 20760 What is the common denominator of 14/477 and -34/795? 2385 Calculate the common denominator of -71/3684 and -79/96. 29472 What is the lowest common multiple of 15400 and 275? 15400 Find the common denominator of 17/129496 and 87/161870. 647480 What is the common denominator of 149/528 and -37/26840? 161040 Calculate the common denominator of -44/354363 and -30/7. 2480541 What is the common denominator of -107/6410 and -28/825? 1057650 What is the lowest common multiple of 2044675 and 20? 8178700 Calculate the smallest common multiple of 1130 and 100. 11300 Calculate the least common multiple of 6390 and 90. 6390 What is the lowest common multiple of 4600 and 158? 363400 Calculate the common denominator of -17/22671 and 67/14427. 158697 Calculate the lowest common multiple of 39933 and 8. 319464 What is the least common multiple of 11 and 159518? 1754698 Calculate the least common multiple of 123057 and 89496. 984456 What is the common denominator of 67/363 and -56/3? 363 Find the common denominator of -1/8 and 31/3108. 6216 What is the lowest common multiple of 30 and 60780? 60780 Find the common denominator of -11/520 and -49/2510. 130520 What is the lowest common multiple of 3248084 and 32? 25984672 What is the least common multiple of 4352 and 22848? 91392 What is the smallest common multiple of 20 and 92? 460 Calculate the common denominator of -161/17082 and -79/438. 17082 What is the least common multiple of 40 and 618? 12360 Calculate the least common multiple of 13968 and 2244. 2612016 What is the smallest common multiple of 66538 and 136? 266152 What is the smallest common multiple of 5 and 9561? 47805 Find the common denominator of -79/4884 and 73/6446. 1431012 Calculate the common denominator of -77/22404 and 19/22404. 22404 Find the common denominator of -71/3735 and -13/2490. 7470 What is the smallest common multiple of 9797 and 194? 19594 Find the common denominator of 65/336 and 31/22176. 22176 What is the common denominator of 7/142239 and 12/47413? 142239 What is the least common multiple of 2432 and 30304? 2303104 What is the lowest common multiple of 59166 and 966378? 2899134 Find the common denominator of 187/76080 and -49/48. 76080 Calculate the common denominator of -23/24064 and -137/20868. 2671104 Calculate the lowest common multiple of 27180 and 81540. 81540 What is the smallest common multiple of 849541 and 540617? 5946787 Calculate the least common multiple of 29435 and 7. 29435 Calculate the lowest common multiple of 146112 and 681856. 2045568 Find the common denominator of -127/1836 and 29/765. 9180 Calculate the smallest common multiple of 1253 and 301. 53879 Calculate the lowest common multiple of 332709 and 35022. 665418 Calculate the common denominator of 1/10800 and 103/18900. 75600 Calculate the lowest common multiple of 285625 and 6250. 2856250 Calculate the common denominator of -77/4308 and 121/300. 107700 What is the smallest common multiple of 1311 and 447? 195339 What is the common denominator of 74/33 and 22/1335? 14685 Calculate the common denominator of 77/2756 and -79/2. 2756 What is the lowest common multiple of 35490 and 21? 35490 Calculate the least common multiple of 171 and 4845. 14535 What is the common denominator of 17/1057 and -9/824? 870968 Calculate the smallest common multiple of 47893 and 6. 287358 Calculate the smallest common multiple of 31000 and 108500. 217000 What is the common denominator of 107/166830 and 77/10050? 834150 Find the common denominator of -47/1855 and 129/3040. 1127840 What is the common denominator of -67/503624 and -15/11? 503624 Calculate the common denominator of -181/546 and -155/102. 9282 Find the common denominator of -19/29970 and -8/1443. 389610 What is the least common multiple of 1020 and 1782? 302940 Calculate the smallest common multiple of 14755 and 2270. 29510 What is the smallest common multiple of 4108 and 54510? 1417260 Calculate the least common multiple of 336413 and 336413. 336413 What is the smallest common multiple of 7592 and 156? 22776 What is the smallest common multiple of 7105 and 2030? 14210 What is the common denominator of -49/2797 and 71/22376? 22376 What is the least common multiple of 1661906 and 8? 6647624 Find the common denominator of -83/11870 and -64/563825. 1127650 Calculate the common denominator of 22/2547 and 107/1995. 1693755 What is the least common multiple of 301368 and 2088? 904104 Find the common denominator of 187/18030 and -2/601. 18030 Find the common denominator of -99/14 and 79/394. 2758 Calculate the lowest common multiple of 46893 and 17052. 187572 Calculate the common denominator of -133/7962 and 46/394119. 788238 Find the common denominator of 143/1134 and -23/441693. 883386 Calculate the least common multiple of 1050 and 930. 32550 What is the least common multiple of 7196 and 780? 1403220 Ca
{ "pile_set_name": "DM Mathematics" }
+ 151 wrt j. -234 What is the second derivative of q**3 - 38*q**2 - 1050*q? 6*q - 76 Differentiate -390*g - 222 wrt g. -390 Differentiate 3*f*u**3 + f*u**2 - 8*f - 3 with respect to u. 9*f*u**2 + 2*f*u What is the second derivative of -c**3*d**4 + 2*c**3*d - 3*c*d + 147*d**5 + 4*d wrt d? -12*c**3*d**2 + 2940*d**3 Find the second derivative of 2*j**2*z**2 - 1603*j**2 - 2*j*z**2 + 259*j*z wrt j. 4*z**2 - 3206 Differentiate 11689*s - 9447 with respect to s. 11689 Find the first derivative of 85*f**2 + 2*f + 73 wrt f. 170*f + 2 What is the third derivative of -2*i**5 + 42*i**3 + 3*i**2 + 15*i? -120*i**2 + 252 Find the second derivative of 5*t**5 - 3*t**4 + 30*t**2 - 2*t - 992 wrt t. 100*t**3 - 36*t**2 + 60 Find the second derivative of 182*i**5*u**2 - 8*i*u**2 - 4*i + 2 wrt i. 3640*i**3*u**2 What is the second derivative of 8*h*t**5 - 14*h*t**4 - h*t**2 + 66*h*t - h + t wrt t? 160*h*t**3 - 168*h*t**2 - 2*h Find the third derivative of -13327*t**3 + t**2 + 6850*t. -79962 Find the second derivative of -2609*w**2 + 2218*w. -5218 Differentiate -202*q*t**3 - 2*q + 51 with respect to t. -606*q*t**2 What is the second derivative of 105*h**5 - 4*h**3 - 5698*h wrt h? 2100*h**3 - 24*h Differentiate 286*o**2*u + 3*o*u - o - 23*u - 8 with respect to o. 572*o*u + 3*u - 1 Find the second derivative of 4*b**3*o**2*t**2 + 3*b**3*o**2 - b**3*t - 6*b**2*t - b*o**2*t**2 wrt t. 8*b**3*o**2 - 2*b*o**2 Find the third derivative of -237*s**6 - 139*s**2 wrt s. -28440*s**3 Differentiate 365*a*o*q - 9*a*o - a + 2*q + 3 with respect to q. 365*a*o + 2 What is the first derivative of p**3*y**2 + 293*p*y**3 - 7*y**3 - 6*y wrt p? 3*p**2*y**2 + 293*y**3 Find the third derivative of -5*b**2*h**4 + 8*b**2*h - 18*b*h**4 - 4*b*h**2*v - 3*b*h*v - 5*h**3*v - 8*h wrt h. -120*b**2*h - 432*b*h - 30*v Find the third derivative of -171*a**3 - 12*a**2 + 1 wrt a. -1026 What is the second derivative of 356*v**3 - 60*v? 2136*v Find the third derivative of -82*b**6 + 76*b**2 wrt b. -9840*b**3 What is the second derivative of 486*a**5*m + 2*a**4*m**2 - 31*a - 7*m**2 + 2*m wrt a? 9720*a**3*m + 24*a**2*m**2 Find the second derivative of 9*d**5 - 33*d**2 - 676*d + 1. 180*d**3 - 66 What is the second derivative of -4*c**3*p**2 + 2*c**3*p + c**3 + c*p**2 + 44*c*p - 405*p**2 + 6 wrt p? -8*c**3 + 2*c - 810 What is the third derivative of -b**5 + 560*b**4 - 2*b**2 + 946*b wrt b? -60*b**2 + 13440*b Find the first derivative of 188*d**3 - 2*d**2*w**3 - 99*w**3 wrt d. 564*d**2 - 4*d*w**3 What is the third derivative of 7*f**3*t**2*v**2 + 5*f**3*v**3 + f**2*t**2*v**3 + 6*f**2*t*v + 8*f**2*v**3 wrt f? 42*t**2*v**2 + 30*v**3 Differentiate 197*l*y - 6*y + 13 with respect to l. 197*y What is the second derivative of -2*h*k**4 + 187*h*k**2 - h + 105*k + 1 wrt k? -24*h*k**2 + 374*h What is the second derivative of 1220*s**5 + 2*s + 364 wrt s? 24400*s**3 What is the third derivative of -539*h**4 + 14*h**2 + 6 wrt h? -12936*h What is the first derivative of -581*a*h**2 + a*h*x**2 - 2*a*h*x + 3*a*x**2 - 7*a*x - a - 54*x**2 wrt h? -1162*a*h + a*x**2 - 2*a*x What is the second derivative of 2*n**3*t - 30*n**3 - 4*n*t - 4*n - 2*t wrt n? 12*n*t - 180*n Find the third derivative of -6*c**3*k*o + c**3*k - 53*c**3 - 4*c**2*o - 267*c*k*o + k*o wrt c. -36*k*o + 6*k - 318 Find the second derivative of 4*k**2*y**2 + 44*k**2*y - 5*k**2 + 6*k*y**2 + 2*k + 3*y**2 wrt k. 8*y**2 + 88*y - 10 Find the second derivative of 10*h**3*q**2*w**2 + 33*h**3*w**2 - 6*h**2*q**2*w**3 - 3*h*q - 2*q + w**3 wrt q. 20*h**3*w**2 - 12*h**2*w**3 What is the third derivative of -193*x**5 - x**4 - 9*x**3 + 4801*x**2 - 3*x? -11580*x**2 - 24*x - 54 Differentiate -31*j**3 + 2*j*z**3 - 5*j*z - 3*z**3 + 69*z + 2 with respect to j. -93*j**2 + 2*z**3 - 5*z Differentiate 25*a**2*n**3 - a**2*n**2 + 2*a**2*n + 2621*n**3 wrt a. 50*a*n**3 - 2*a*n**2 + 4*a*n What is the second derivative of 553*f**3*l - 28*f*l - 2*f - l wrt f? 3318*f*l What is the first derivative of 952*p**3 - 669 wrt p? 2856*p**2 Find the first derivative of f*i**3*m - 3*f*i**3 - 3*f*i**2*m + 2*i**3*m + 10*i + 2*m wrt f. i**3*m - 3*i**3 - 3*i**2*m What is the third derivative of -5151*w**3 - 107*w**2 + 2*w? -30906 Find the first derivative of 10715*y - 7823 wrt y. 10715 Differentiate 12*x**3 + 5*x + 554. 36*x**2 + 5 Find the second derivative of -59*l**3*r + 297*l*r wrt l. -354*l*r What is the third derivative of -101*d*u**3*x**2 - 3*d*u**3 - 2*d*u**2*x**2 + 131*d*u*x**2 + 3*u**2 wrt u? -606*d*x**2 - 18*d What is the third derivative of -1013*m**4 - 14*m**2 + 76 wrt m? -24312*m What is the second derivative of 125*x**2 + 339*x wrt x? 250 What is the second derivative of 2145*x**2 + 38*x + 1? 4290 Find the third derivative of -237*p**4 + 2*p**3 - 2*p**2 - 982*p + 2. -5688*p + 12 Differentiate -7*f*s**2 - 5*f*s - 907*s**2 with respect to f. -7*s**2 - 5*s Differentiate 8323*w**4 - 13304 wrt w. 33292*w**3 Find the second derivative of -51*a**3*s + 2*a**2*s + 2*a**2 - 17*a*s + 10*a wrt a. -306*a*s + 4*s + 4 Find the second derivative of 18*m**5 + 3*m**2*n - 2*m*n - 8*n wrt m. 360*m**3 + 6*n What is the second derivative of -5209*a**2 - 37*a - 35? -10418 Find the third derivative of 121*g**6 + 49*g**2 - 2*g wrt g. 14520*g**3 What is the derivative of -3*b*l**2*z**3 + 55*b*l*z**3 + 48*l**2*z**3 wrt b? -3*l**2*z**3 + 55*l*z**3 What is the second derivative of 2230*c**2*o + 8*c - o - 3 wrt c? 4460*o What is the derivative of 18844*i**2 - 4518 wrt i? 37688*i Differentiate -2*h**3*y**2 + 2*h**3*y*z + 21*h**2*y**2*z - 5*h*y**2 + y**2 wrt z. 2*h**3*y + 21*h**2*y**2 Find the second derivative of q**3*s**2 - 14*q**3 - 11*q**2*s - 2*q - 14*s**2 + 2*s wrt q. 6*q*s**2 - 84*q - 22*s Find the second derivative of -257*b*f**2 + 23*b*f - 30*f wrt f. -514*b What is the third derivative of 162*n**3 - 567*n**2 wrt n? 972 What is the first derivative of 172*b*c*y**2 + 3*b*y**2 + 7*y**2 wrt c? 172*b*y**2 Find the first derivative of 3*f*r**2*w**2 - 150*f*r**2*w + 5*r**2 - 237*r*w**2 wrt f. 3*r**2*w**2 - 150*r**2*w What is the third derivative of 289*f**3*i**2 + f**2 + 4*f*i + 19*i**2 wrt f? 1734*i**2 Find the third derivative of -12*o**5 + 5*o**4 + 10*o**3 + 2*o**2 - 1075*o + 1 wrt o. -720*o**2 + 120*o + 60 What is the second derivative of 89*h**2*w**2 - 2*h**2 + 3*h*w**2 - 30*h wrt h? 178*w**2 - 4 Find the third derivative of -2311*q**4 + q**3 + 4*q**2 + 82*q - 9 wrt q. -55464*q + 6 Find the third derivative of -46*o**2*u**3 - 6*o**2*u**2 - 21*o**2 - 3*u**3 wrt u. -276*o**2 - 18 Find the first derivative of 573*d*g**3 - d + 924*g**3 - 2 wrt d. 573*g**3 - 1 Find the third derivative of -13178*s**5 + 2*s**2 + 50*s + 9 wrt s. -790680*s**2 Find the second derivative of 17963*h**2 - 2*h + 1121. 35926 What is the third derivative of 4935*j**5 + 1850*j**2 wrt j? 296100*j**2 What is the first derivative of -i**2*t + 80*i**2 + 555*t wrt t? -i**2 + 555 What is the second derivative of v**3*x**3 + v**3*x + 26*v**2*x**2 + 110*v*x wrt x? 6*v**3*x + 52*v**2 What is the first derivative of -236*n**3*p - 302*n**3 wrt p? -236*n**3 Find the second derivative of -l**2*p**2*x**3 + 279*l**2*x**3 - 2*l*p**2*x**3 + l*p**2*x**2 + 20*l*x**3 + p**2*x**2 wrt l. -2*p**2*x**3 + 558*x**3 Find the second derivative of -g*h**2 + g*h*q**3 + 3*g - 36*h**2*q**3 + 5*h wrt h. -2*g - 72*q**3 Find the third derivative of -613*i*j**4 + i*j**3 + 94*i*j**2 + 3*j**4 - 5*j**2 - j - 2 wrt j. -14712*i*j + 6*i + 72*j Find the second derivative of 41*m*x**3 - 750*m*x + 7*x**4 wrt x. 246*m*x + 84*x**2 Find the third derivative of a*g**3*p**2 + 1276*a*g**3 - 2*a*g**2*p**2 + 5*a*g**2*p - 2*a*p**2 + 7*p**2 wrt g. 6*a*p**2 + 7656*a Find the third derivative of 3*l*n*u**6 + 87*l*n*u**5 - 52*l*n*u + 29*n*u**2 wrt u. 360*l*n*u**3 + 5220*l*n*u**2 What is the second derivative of 2639*w*z**2 + 2*w*z + 3*w + 20 wrt z? 5278*w What is the first derivative of 338*a*s*y**2 + 2*a*s*y - 7*s - 6*y**2 wrt a? 338*s*y**2 + 2*s*y What is the second derivative of -39*d**2*t**3*w + 2*d**2*w**2 + 2*d**2*w - d*t**3 + 37*d*t + 10093*t**3*w**2 wrt w? 4*d**2 + 20186*t**3 What is the third derivative of -26*s**6 + 3*s**5 - 47*s**2 - 1? -3120*s**3 + 180*s**2 Find the third derivative of -2*s**3*x**2 - 2*s**3*x - 2457*s**3 + 2*s**2*x**2 + 15*s**2 + 314*x**2 wrt s. -12*x**2 - 12*x - 14742 Find the
{ "pile_set_name": "DM Mathematics" }
d 357? 119 Let j be (-8164)/(-832) + (-18)/(-96). What is the highest common divisor of 7610 and j? 10 Let z be 331284/1026 + (-20)/(-18). What is the greatest common divisor of 1215 and z? 81 Let x(h) = 801 + 844 - 18*h - 1819. Let w be x(-16). Let l(f) = 2*f**2 - 2*f - 2. Let i be l(-4). What is the highest common divisor of w and i? 38 Suppose -6 = 2*m, -4*p + 126*m + 121 = 123*m. What is the greatest common factor of 96 and p? 4 Let q = -216 - -399. Let g = 188 - q. What is the highest common divisor of 10 and g? 5 Let c be 21/2 - (-5)/10. Let n(i) = -i**3 + 10*i**2 + 4*i - 82. Let k be n(12). Let h be k/(-10) - (-8)/10. Calculate the highest common divisor of c and h. 11 Let s = 22879 - 20117. Calculate the highest common factor of s and 6. 2 Let b be 2/(-7) + -7 + 4062/(-42). Let t = 352 + b. What is the highest common divisor of 93 and t? 31 Let z be 1184/4 + 0 + 4. Suppose -21*i = -27*i + z. What is the highest common divisor of 550 and i? 50 Let l = 1584 - 1390. What is the highest common factor of l and 5141? 97 Suppose 126 - 501 = 5*y. Let w be 10/2 + y/(-15). Calculate the highest common factor of 6 and w. 2 Suppose -3*x - 38 = -5*k + 993, -5*x + 1015 = 5*k. Calculate the greatest common factor of k and 115. 5 Suppose 17191 = 4*m - 4*u + 5439, 0 = 4*m + 2*u - 11782. Calculate the highest common factor of m and 135. 27 Suppose 0 = d, 3*g - 5*d - 2511 = 1795 - 307. What is the highest common divisor of 129 and g? 43 Let q be (1/3)/((-21)/(-126)). Let a be -4 - (-39)/(q + 1). Let h(n) = n**2 + 31*n - 81. Let l be h(3). What is the greatest common divisor of a and l? 3 Let o be (35 - 9264/(-96)) + 3/(-2). Calculate the greatest common factor of o and 5161. 13 Let q(a) = a + 6. Let r be q(-6). Suppose r = -u + 14 + 30. Suppose 2908*i = 2845*i + 1386. Calculate the greatest common divisor of i and u. 22 Let y = 601 - 1054. Let h = 459 + y. Calculate the highest common factor of 2 and h. 2 Let h(y) = -2*y**3 + 19*y**2 - 9*y. Let t be h(9). Let r be (-2 - 1) + 105 + 1 + t. Suppose 0 = 4*j - 921 - r. Calculate the highest common divisor of 32 and j. 32 Suppose -3*z + 6 = 0, 0 = m + 40*z - 39*z - 28800. Calculate the highest common factor of m and 476. 238 Let x be (-1 + -1 + 1)/(28/(-2940)). Calculate the greatest common divisor of x and 2247. 21 Let f = 11269 + -4486. What is the highest common divisor of f and 168? 21 Let m(p) = p**2 + p + 54. Let d be m(0). Let v = 57813 - 57811. What is the highest common factor of d and v? 2 Let x(n) = -6*n + 67. Let a be x(11). Let y be 1/((0 + a)/5). Suppose y*k - 6 = -k. What is the highest common divisor of 2 and k? 1 Suppose -33*g + 15376 = 928*g. Suppose 572 = 5*f - 4*t, -5*f + t + 417 = -146. What is the highest common factor of f and g? 16 Let d be ((-333)/(-9) - 12) + -7. Let u be (5 - 2) + 56 - -1. What is the greatest common divisor of d and u? 6 Let u = -92 + 100. Suppose 0 = -0*o - 4*o + u. Let h(m) = 52*m**2 - 8*m + 6. Let a be h(o). What is the highest common factor of a and 22? 22 Let p be ((-480)/72)/((-4)/6). Let k be ((-3800)/(-24) - 6) + p/6. Calculate the highest common factor of k and 11. 11 Suppose 2*a - 2*l = 12, 4*a + 4*l + 10 = -6. Let g be 10/(-8) + a + 195/12. Let h = g - -20. Calculate the highest common divisor of 324 and h. 36 Suppose -4*a + 51 = -a. Suppose 2*k + a = m, 0 = 3*m + 5*k - 0*k - 95. What is the greatest common factor of 225 and m? 25 Let b be 8722/(-8) - -5*(-2)/(-8). Let j be b/(-12)*(-8)/(-3). Calculate the highest common factor of j and 44. 22 Let o = -10 + 4. Let q(f) = -f**3 - 7*f**2 - 4*f + 2. Let p be q(o). Let x be p/(-5)*(-70)/(-4). Calculate the greatest common divisor of x and 7. 7 Let m be (18/(-52) + (-4)/78*3)*-118. Suppose -u + 5*s = -388, -25 = -3*s - 2*s. What is the greatest common factor of u and m? 59 Suppose 0 = 30*c + 2283 - 19053. What is the greatest common factor of 1333 and c? 43 Let g = 4194 - 3182. Calculate the greatest common factor of g and 368. 92 Let r = 4036 + -4020. Calculate the highest common factor of 9104 and r. 16 Suppose -9*d - 687 = 969. Let n = -154 - d. What is the greatest common factor of 18 and n? 6 Suppose 4*a - l + 0*l = -11, -a + 3*l + 11 = 0. Let n be 18 + (-4 - 4) + (a - -1). Calculate the greatest common divisor of n and 112. 7 Let j(d) = d**3 + 13*d**2 - 7*d. Let f be j(-14). Let b be (f/(-2) - 0) + 41 + -38. What is the highest common factor of b and 234? 26 Let k(j) = 2*j**2 + 6*j - 30. Let b be k(-7). Suppose 14 = -n - b. Let f be (n/(-30))/(1/3). What is the highest common factor of 32 and f? 4 Suppose -44*g = -49*g + 25. Suppose g*r + 0*r - 15 = 0. What is the greatest common factor of 21 and r? 3 Let z = 10514 - -302. Calculate the greatest common factor of 13 and z. 13 Suppose 104 = 24*j - 16*j. Suppose 151 - 853 = -j*o. Calculate the greatest common factor of o and 54. 54 Suppose -5*a - 60 = 17*p - 19*p, -3*p + 76 = -4*a. Let n be (-6)/(-27) + (-68)/(-18). Let g be (-76 + 1)*n/(-6). What is the highest common divisor of p and g? 10 Let s = 65 - 60. Suppose 3*v = -s*q + 3, 6*v - 3*v + 3*q = 3. Suppose 32 = 2*a + 2*t, 2*a - t - v = 19. What is the highest common divisor of 12 and a? 12 Let g(a) = a**2 - 4*a - 7. Let l be g(7). Suppose -44 = 62*x - 66*x. Suppose x*z = 12*z - l. What is the highest common factor of 2 and z? 2 Let k(x) = -x**2 + 123*x - 3498. Let u be k(75). What is the highest common divisor of u and 6698? 34 Suppose -380 + 156 = -4*w. Let x be (-1 + 13)*-2*(-245)/w. Calculate the greatest common divisor of x and 63. 21 Let d(j) = 77 + 80*j - 213 - 29*j + 0*j**2 - j**2 - 48. Let r be d(36). Calculate the greatest common divisor of r and 267. 89 Let u = 1710 - -2448. Let t be 2*(2 - 1)*u/44. What is the greatest common factor of 18 and t? 9 Suppose -8*a = 22*a + 70 - 310. Calculate the greatest common divisor of a and 1560. 8 Let q be 12298/(-143)*(-23)/2. What is the highest common divisor of 731 and q? 43 Let x(k) = -7*k**3 - 19*k**2 + 7*k + 3. Let w be x(-5). Calculate the greatest common factor of 192 and w. 16 Suppose -v + 3*b = -13, -3*v - 4*b = 2*v - 27. Suppose 0 = v*c - 879 - 3. Calculate the greatest common divisor of c and 90. 18 Let x be 141*(3*(-8)/36)/((-2)/16). Calculate the highest common divisor of x and 5358. 94 Suppose 9*q - 10 + 10 = 0. Suppose 2*d + 6 = 0, -4*w + 3*d - 6*d + 1479 = q. Let s be (-2)/(-8) + w/48. What is the highest common factor of 3 and s? 1 Let q(b) = -10*b**2 + 48*b + 77. Let p be q(6). Let s be 766/14 - (-6)/21. What is the greatest common divisor of s and p? 5 Let v(f) = -29*f - 11. Let n be v(-7). Suppose d = 5*d - n. Calculate the greatest common divisor of 192 and d. 48 Let z = 7604 + -7591. What is the highest common divisor of z and 4147? 13 Suppose 0 = -1084*x + 1089*x - 40. What is the greatest common factor of 664 and x? 8 Suppose -17721*f + 17714*f + 350 = 0. Calculate the highest common factor of f and 1550. 50 Let u be (1/(-3))/((-4)/(-252)). Let t be u/4*1216/(-57). What is the highest common divisor of 28 and t? 28 Let s(g) = -63*g - 5217. Let a be s(-133). What is the highest common divisor of 102 and a? 102 Suppose u = 5*y + 19967 - 6067, -4*y = -3*u + 41601. What is the greatest common divisor of u and 17? 17 Let n = 14711 - 14392. What is the highest common factor of n and 22? 11 Suppose 37*g - 3814 = 10505. What is the highest common factor of 9 and g? 9 Suppose -r + 3*b + 551 = 0, 5*b - 459 - 2256 = -5*r. Calculate the highest common divisor of 763 and r. 109 Suppose 189 = k - 1326*l + 1329*l, 0 = 5*k - 4*l - 888. What is the greatest common divisor of 156 and k? 12 Let f = -1836 - -2412. Calculate the greatest common divisor of 252 and f. 36 Suppose 2*p + 30 = -5*j, p - 1 = 2*p - j. Let c be (p/5 - -2) + 32. Calculate the highest common factor of 3 and c. 3 Let p = -2585 + 2598. What is the highest common factor of p and 7111? 13 Let k(c) = -c**2 - 8*c + 888. Let f be k(23). What is the greatest common factor of 1015 and f? 35 Suppose 14*d + 2*l + 2344 = 18*d, -d + 2*l + 580 = 0. Calculate the greatest common divisor of d and 6888. 84 Suppose 0 = -7*t + 414 + 1161. Let a(m) = 23*m**2 + 2*m - 6. Let r be a(2). Calculate the highest common factor of r and t. 45 Suppose 5*i = -3*h + 530, -2*i = -0*h + h - 212. Suppose -275
{ "pile_set_name": "DM Mathematics" }
80 Solve 33*h - 13*h = 149*h - 6097 + 679 for h. 42 Solve -95*x - 1097 = -1336 + 3754 for x. -37 Solve -2162 = 16*s + 1948 - 4622 for s. 32 Solve 84*d - 527*d + 3286 = 1487 + 11545 for d. -22 Solve 309*v = 483*v + 498*v - 28896 for v. 43 Solve 26*y + 29*y + 336 = 121*y - 45*y for y. 16 Solve 275*h - 6731 = -87*h - 150*h - 22603 for h. -31 Solve -9132*u + 9169*u = 1184 for u. 32 Solve 6042*l = 5919*l + 1845 for l. 15 Solve -57*v = 2*v + 159*v + 13516 for v. -62 Solve 87731 = 4740*v - 5797*v for v. -83 Solve -137*j + 2493 = 269*j - 56*j - 1707 for j. 12 Solve 15073 + 12032 - 4878 = 347*f - 8309 for f. 88 Solve -3774*z - 75705 = -1185*z + 1016*z for z. -21 Solve 2640 + 37028 = 9512*y + 163324 for y. -13 Solve 170808 - 170088 = -90*g for g. -8 Solve -504*v + 541*v + 327 + 1939 = 416 for v. -50 Solve 5481972*t - 5481787*t = -9065 for t. -49 Solve -482*q - 495*q - 495*q + 959 = -1479*q for q. -137 Solve 532*o = 34*o - 108*o - 23634 for o. -39 Solve -12586*o - 8127 = -12887*o for o. 27 Solve -450*w - 847*w - 512*w - 30254 - 96376 = 0 for w. -70 Solve -47*j + 405*j + 7438 = -472*j - 5012 for j. -15 Solve 1495*f + 101125 = 21890 for f. -53 Solve -317888*o + 316948*o = 68620 for o. -73 Solve 34*c + 85*c = -53*c + c + 10260 for c. 60 Solve -135*w - 94818 = -109398 for w. 108 Solve -3185 = -952*y + 1871*y - 984*y for y. 49 Solve -1050*z + 1139*z = 6 + 83 for z. 1 Solve 4249*g - 620716 = 14951*g for g. -58 Solve 0 = -909*u + 1779*u - 895*u + 525 for u. 21 Solve 401*l = -120*l + 73226 - 19042 for l. 104 Solve 2045*m + 3179 = 2104*m + 701 for m. 42 Solve -3271*o + 695*o = -172765 + 10477 for o. 63 Solve -514*j - 603*j = 11402 - 2466 for j. -8 Solve 157*y + 15674 = 8295 for y. -47 Solve 152624 = 2715*n - 10276 for n. 60 Solve 328*j = -100*j + 983*j - 41070 for j. 74 Solve 3903 - 29513 + 643 = -550*t + 22333 for t. 86 Solve 2678*m + 6403 = 1028*m + 33100 + 3003 for m. 18 Solve 224*a + 849*a - 27540 = 155*a for a. 30 Solve -15212 = 896*g + 916 for g. -18 Solve 15*p = -6*p + 862190 - 860573 for p. 77 Solve 5287 = -65*t - 2338 + 1905 for t. -88 Solve -613*b = -1219*b + 23634 for b. 39 Solve -27*n - 34*n + 2352 = 15*n - 55*n for n. 112 Solve -147*a = 2222 + 3070 for a. -36 Solve -1230*z + 44496 = 418*z for z. 27 Solve 0 = 393*l + 212*l + 279 + 1448 + 1903 for l. -6 Solve 136*f = -137*f - 9*f - 254*f - 107*f for f. 0 Solve -147*p + 449*p = -124*p + 852 for p. 2 Solve 64*g + 6542 + 222 = -292*g for g. -19 Solve 31032 - 52692 = 1972*v + 53276 for v. -38 Solve 19494*a = 2452*a + 1601948 for a. 94 Solve -445*w - 387*w - 21632 = 0 for w. -26 Solve 873 = 1940*u - 2004*u - 1367 for u. -35 Solve -1602*d - 514*d = -93104 for d. 44 Solve -6785*m + 144 = -6767*m for m. 8 Solve -4440*w + 1254000 = 6560*w for w. 114 Solve -1258*m + 1365032 = 8779*m for m. 136 Solve -95*j - 7460 = 1005*j + 28840 for j. -33 Solve -8088 - 2128 = 740*d - 148 + 13612 for d. -32 Solve 737*n + 22046 + 19024 = 17918 - 20331 for n. -59 Solve 0 = -2039*z + 44977 + 34544 for z. 39 Solve 74671 = 774*z + 49129 for z. 33 Solve 802*m = 16772 + 20922 for m. 47 Solve 10804 = -593*t + 41640 for t. 52 Solve 1729*z = 67961 - 19549 for z. 28 Solve 200*i - 190076 = -2175*i - 1189*i + 5944 for i. 55 Solve -353*p + 5879 = 1643 for p. 12 Solve -79*d + 16926 = 572*d for d. 26 Solve 189*f + 279*f - 4930 = 383*f for f. 58 Solve 844 - 38489 = -909*z + 21197 + 22968 for z. 90 Solve -99*b + 847 = 135*b - 157*b for b. 11 Solve 1134*y - 4209 - 25442 - 3148 = 3*y for y. 29 Solve -483*z + 39515 + 19136 = 10834 for z. 99 Solve 8119 = -1823*r - 19226 for r. -15 Solve 92*j - 47*j - 7014 = -9*j - 113*j for j. 42 Solve 9 - 336 = -25*p - 56*p + 78 for p. 5 Solve -1799*j - 23532 = -1355*j for j. -53 Solve 1327*l + 987*l - 91077 = -21657 for l. 30 Solve -12*k + 46974 = 45870 for k. 92 Solve 242*o - 3663 = 17443 - 4166 for o. 70 Solve 415*k = -13988 - 9651 + 3719 for k. -48 Solve -59*z = 1771 + 774 + 293 - 65 for z. -47 Solve 29*x + 107 - 937 = -3*x - 94 for x. 23 Solve 3049*a - 2635*a - 15732 = 0 for a. 38 Solve -305*p + 6672 = 628*p - 83620 - 12338 for p. 110 Solve 753*l + 6816 = -15049 - 150 - 32954 for l. -73 Solve -24*c = -19341 + 19557 for c. -9 Solve -2191*m - 2255*m + 57255 = -173*m - 456*m for m. 15 Solve 188*y - 116*y - 452*y - 29260 = 5*y for y. -76 Solve -1491*s - 7508 = 1792*s + 20 + 18736 for s. -8 Solve 7437*w + 70207 = 7979*w - 5673 for w. 140 Solve 1185055*f + 1318 = 1184816*f - 5613 for f. -29 Solve -8003 = -815*g + 19353 + 29259 + 11030 for g. 83 Solve 360*v - 1543 = 1432 + 7105 for v. 28 Solve -11654*g + 12434*g - 55380 = 0 for g. 71 Solve -17828*f + 927143 = -285161 for f. 68 Solve 194*x - 30142 = 1556*x + 44768 for x. -55 Solve 1034*j + 18386 = -5396 for j. -23 Solve -3051132 = -24*j - 3050052 for j. 45 Solve -9737*u = -8739*u + 4752 + 23192 for u. -28 Solve 157*l - 693*l = -16302 + 2902 for l. 25 Solve 852 = -593059*v + 593071*v for v. 71 Solve -631359 = -44281*l + 39148*l for l. 123 Solve -721*d + 8429 + 10483 + 14254 = 0 for d. 46 Solve -2460 - 7119 + 2744 = -1367*i for i. 5 Solve -1260*f + 11515 = -56525 for f. 54 Solve -571*w + 2659*w - 83520 = 0 for w. 40 Solve -7278 - 25472 = 3994*h + 19172 for h. -13 Solve -1632*t = -562*t - 7490 for t. 7 Solve 3*z = -113*z - 1000 - 1088 for z. -18 Solve -1160305 = 5924*h - 6664*h - 9905*h for h. 109 Solve -961 - 2276 = -249*k for k. 13 Solve 1002*g + 368*g = 192*g - 94*g + 127200 for g. 100 Solve 1805*l - 50*l = 26325 for l. 15 Solve 75*h - 241 = -19*h + 50*h + 375 for h. 14 Solve 0 = -3789*w + 116*w + 14692 for w. 4 Solve -5423 = -84*y - 21*y - 488 for y. 47 Solve -7*g + 1034883 = 1035065 for g. -26 Solve 82843 + 114316 = -3439*r + 26708 - 39328 for r. -61 Solve -996*u - 22441 - 66136 = -22841 for u. -66 Solve 1116 + 9 + 982 + 173 = -38*w for w. -60 Solve 255*j = -1496*j - 49*j - 189*j + 89505 for j. 45 Solve -353*i - 134*i = -47*i - 154*i + 12870 for i. -45 Solve 608*k - 10398 = 36418 for k. 77 Solve 231*z - 173*z + 2314 = 284 for z. -35 Solve 51481898 - 51478481 = 67*n for n. 51 Solve 0 = 129*d - 975*d - 11707 - 14519 for d. -31 Solve 4523*x + 29568 = 1835*x for x. -11 Solve -61748 = -1556*u + 42504 for u. 67 Solve -254573 = -4351*s + 395*s - 753029 for s. -126 Solve -1980*y + 245504 = -1313*y - 2234*y - 2269*y for y. -64 Solve -377*f + 742*f = 9125 for f. 25 Solve 0 = -324*f + 5862 + 6199 - 2341 for f. 30 Solve -20*p + 39*p + 83*p + 22351 = -115*p for p. -103 Solve 43120*p = 43134*p + 168 for p. -12 Solve 0 = -2808*b + 2847*b - 1388 - 406 for b. 46 Solve 0 = 90*l - 355*l - 169*l + 6891 + 37811 for l. 103 Solve -172*l - 347 - 80 - 585 - 536 = 0 for l. -9 Solve 10128 = 264*w - 193*w - 704*w for w. -16 Solve 344388 - 190002 = -10767*s - 417127 - 225245 for s. -74 Solve 561750 = -1059*v - 14333*v + 3446*v - 358092 for v. -77 Solve 13924*r = 13677*r + 8151 for r. 33 Solve -58*m - 15369 + 14441 = 0 for m. -16 Solve 340*g = -354*g + 127*g + 19513 + 7703 for g. 48 Solve 2006 = -291*r - 322 for r. -8 Solve -2734303 + 660819 = -21158*v for v. 98 Solve 871*q - 332*q - 54*q = -1033*q - 159390 for q. -105 Solve -2219*w + 489*w + 72818 = 1436*w for w. 23 Solve -7169*m + 648486 = -218963 for m. 121 Solve -52 + 54 = -19*b + 77*b - 520 for b. 9 Solve 32*b + 54*b = -52*b - 116*b - 21336 for b. -84 Solve 1186*d - 687*d = -334*d - 1877*d + 127370 for d. 47 Solve -14660 + 28265 - 19527 = -63*r for r. 94 Solve -21*i + 544 = 686 + 488 for i. -30 Solve -5692*x - 23770 = 169758 for x. -34 Solve 9529 + 13511 = -642*n - 360*n - 150*n for n. -20 Solve -154*j = -258*j - 466*j + 35910 for j. 63 Solve 0 = 1840*z + 240 + 64160 for z. -35 Solve 7613*u - 315207 = -1479996 for u. -153 Solve -171050 = 3210*c - 100*c for c. -55 Solve 144153 = 60*a + 148473 for a. -72 Solve 1121*d + 123*d - 227*d - 45211 = -542*d for d. 29 Solve -13*i - 809512 = -808953 for i. -43 Solve 39*b + 178 - 1096 = 2*b + 1043 for b. 53 Solve -483 = -55*c + 397 for c. 16 Solve -32*s - 24*s = 51*s - 20*s + 957 for s. -11 Solve 0 = -128*y - 217*y - 135*y for y. 0 Solve 1357*n + 935*n = 5409 - 16885 - 9152 for n. -9 Solve 234*l + 1792*l - 476*l - 79324 = -14224 for l. 42 Solve -291*z + 547*z = 19*z for z. 0 Solve 15402 = 279*y - 681*y - 2688 for y. -45 Solve -1025*u + 18816 + 28970 = -9967 + 11628 for u. 45 Solve -22 + 38 = 14930*t
{ "pile_set_name": "DM Mathematics" }
(d) 31 (e) 2/45 e What is the fourth biggest value in 6270, 4, 2, 5? 2 Which is the second biggest value? (a) 1/4 (b) 4 (c) -2 (d) 3/130 (e) 64 (f) 2/3 (g) 3/2 b Which is the second biggest value? (a) -13419 (b) 11 (c) 0.3 c What is the biggest value in -1.1, -0.4, -269312? -0.4 What is the biggest value in 437/435, -2, 6? 6 Which is the biggest value? (a) 1 (b) 5 (c) -5 (d) -1/2 (e) -3/8 (f) 4321 (g) 49 f What is the third smallest value in -4, -1, 20295, 18? 18 What is the biggest value in -0.3, 2/13, 2027/18, 0? 2027/18 Which is the sixth biggest value? (a) 0.05 (b) 12/23 (c) 3 (d) 1/7 (e) -8 (f) 0.06 e What is the sixth smallest value in -2/11, 0.2, 19/5, -3, 0.4, -5, -313/4? 0.4 Which is the biggest value? (a) -1/4 (b) 0.2 (c) -3 (d) 194530 (e) -4 (f) 0.5 d Which is the second smallest value? (a) 136 (b) -26 (c) -2/17 (d) -33/2 (e) 0 (f) 0.2 d Which is the smallest value? (a) 1.5 (b) 4 (c) -10 (d) 4/3 (e) -190/3 e What is the third biggest value in -0.02, 0.39874, 5, 1, -85? 0.39874 Which is the second biggest value? (a) 45 (b) 3/5 (c) -4/421 (d) 1/11 b Which is the third biggest value? (a) -368 (b) 264 (c) -303 a Which is the third biggest value? (a) 2534 (b) 52 (c) 5 (d) -4.1 c Which is the fifth smallest value? (a) -2 (b) 13 (c) -8 (d) -7477 (e) 0.3 (f) 2/7 e What is the fourth biggest value in 12219, 0.2, -5, 0.8, 2/3, 173? 2/3 Which is the second smallest value? (a) 59 (b) -1/14 (c) -2/211 (d) -2/3 b Which is the biggest value? (a) 4 (b) 598218/5 (c) 2/179 b What is the smallest value in 5, 1, -2593, 0.3? -2593 Which is the second biggest value? (a) 0.4 (b) 4 (c) -0.26 (d) -3 (e) 254 (f) 0.2 b What is the biggest value in 3/7, 332/7, 0.1, -8/7737? 332/7 Which is the smallest value? (a) -0.1 (b) -0.224 (c) 3 (d) 0.4 (e) 37 (f) 10 b Which is the third smallest value? (a) 1 (b) -3/7 (c) -16548153 a What is the biggest value in 4, -0.4, 0.138, -2, -40? 4 Which is the fourth smallest value? (a) -1/3 (b) -1/5 (c) 1/3 (d) -2423 (e) 1 (f) -1/4 (g) -3 f Which is the fourth biggest value? (a) 0.4 (b) 2/13 (c) 1/2 (d) -4/103 (e) -2 (f) 80.7 b What is the third biggest value in -2/19, 3/16, -21, 0.19, 2/5? 3/16 Which is the second biggest value? (a) -185 (b) -93 (c) 11/5 (d) -1/3 d Which is the fourth biggest value? (a) 2/15 (b) 74 (c) 23 (d) 1629 a What is the second smallest value in -47, 2/11879, -4/9? -4/9 Which is the third smallest value? (a) -4 (b) -2 (c) -12 (d) 9271 (e) -0.1 b What is the fifth smallest value in 2.71, -3, 5.7, 0.124, 3? 5.7 Which is the smallest value? (a) 1133.03 (b) 1/3 (c) -80 (d) -2/9 c Which is the second smallest value? (a) 2/5 (b) -529096 (c) -0.356 c Which is the third biggest value? (a) 271 (b) -160 (c) -416 c What is the fourth biggest value in -17, -1/2, 5, -0.3, 0.4, 70809? -0.3 Which is the fourth biggest value? (a) -1.5 (b) -80 (c) -1.65 (d) -1 (e) -2/15 c Which is the sixth biggest value? (a) -2/3 (b) 62 (c) -6.1 (d) 2/7 (e) -26 (f) -2 e Which is the third smallest value? (a) -0.5 (b) 0.1 (c) -35 (d) 3 (e) -4 (f) 1/25 (g) 9 a Which is the seventh smallest value? (a) -132918 (b) -4 (c) 5/2 (d) 0.4 (e) 0 (f) -0.3 (g) 3 g What is the fifth smallest value in -1/5, -0.06, 2, 13, 4, 1/2, -7? 2 Which is the second biggest value? (a) -22 (b) 49/15976 (c) -4 (d) 2/7 b What is the smallest value in 1.3, 92/53, -2.1, -7? -7 What is the third biggest value in -2/55, 5, 162.2156? -2/55 What is the second biggest value in 163/67, 1/45, -6/13? 1/45 What is the fifth biggest value in 19, -0.4, 18, 1/2, -248/9? -248/9 Which is the biggest value? (a) -3 (b) 1317 (c) 100/11 (d) -2/13 (e) 3 (f) -0.3 b Which is the third biggest value? (a) -0.13 (b) 1.7 (c) -0.5 (d) -2/11 (e) 0.1 (f) 0.0221 f Which is the third smallest value? (a) 4 (b) 68.03 (c) 30 (d) 0 (e) -2 a What is the fourth biggest value in 1, 7, 0.3, -0.4, -34.169? -0.4 Which is the fourth biggest value? (a) -3/473 (b) 0.3 (c) 0 (d) -2 (e) 6 (f) -13 a Which is the third smallest value? (a) 2/9 (b) 4 (c) -1 (d) 0.31 (e) 0.2 (f) -0.187 e Which is the sixth smallest value? (a) -1/4 (b) 3 (c) 18025/6 (d) 3/4 (e) -1.7 (f) -1 c What is the third smallest value in 26/6087, 0.5, -3/4? 0.5 What is the third smallest value in 0.2, 93006, -5, -31? 0.2 Which is the fourth biggest value? (a) -90 (b) -0.9 (c) 0.405 (d) -0.3 (e) 2 (f) -2/9 d Which is the smallest value? (a) -4/7 (b) -0.3 (c) -21 (d) 2/3 (e) 22 (f) -8 c What is the fifth smallest value in 2/5, -9, -18, 0.5, 0.3, -0.047? 2/5 What is the third biggest value in 0.183, -6.92, 6/251, 0.5? 6/251 What is the second smallest value in 2/3, -0.4, -0.3, 1715, -1/3, -6? -0.4 Which is the second smallest value? (a) -2/9 (b) -0.2 (c) 5 (d) 0.4 (e) 6803/2 (f) -0.18 (g) -0.1 b What is the sixth smallest value in 5, 1/3, 2.4, -63, -0.87, 6? 6 What is the third smallest value in -0.1, 5/388391, 3? 3 Which is the second smallest value? (a) 0.0912 (b) -10 (c) 14.09 a What is the smallest value in -16.13, -4175, -5/4, 1/3? -4175 Which is the third smallest value? (a) 807 (b) 0 (c) -2/797 a Which is the fourth smallest value? (a) 376 (b) 3.92 (c) 13 (d) -20 a Which is the fourth biggest value? (a) 44662 (b) -4/3 (c) 0.2 (d) -1 (e) -1.6 (f) 4 (g) 18 c What is the third biggest value in 0, 2/21, -1/797, 1988/3? 0 Which is the smallest value? (a) 20 (b) 25/62 (c) 17 (d) 1 b Which is the sixth biggest value? (a) 57 (b) -2/17 (c) -2 (d) -1/5 (e) 3/2 (f) 0.0813 c Which is the second smallest value? (a) 4 (b) -189799 (c) -25.6 c Which is the second biggest value? (a) 89 (b) 4 (c) -195.1 (d) 1/7 b What is the second smallest value in 4, 11131/1466, -4? 4 What is the biggest value in -1, 0.2, 51, -0.10656, 3/10? 51 Which is the fourth biggest value? (a) 0.57 (b) 2 (c) 0.2226 (d) -2 (e) 1 c What is the fifth biggest value in 189, 0.21, -1/53, -1, 5, -9/7? -1 What is the third smallest value in -3/7, 2/3, -5582663? 2/3 What is the smallest value in -0.06, -9, -0.1, 2.3532? -9 What is the third smallest value in -18/37, -161, 4, 0, 30? 0 Which is the fourth smallest value? (a) -43 (b) -59/3 (c) -6.97 (d) -2 d Which is the seventh biggest value? (a) -54 (b) -7/12 (c) -0.3 (d) -2 (e) -4 (f) -2/5 (g) 0.4 a Which is the second biggest value? (a) -6 (b) 0.1 (c) 9 (d) -214.6 b Which is the biggest value? (a) -2/99 (b) -0.4 (c) 24748/5 c Which is the second smallest value? (a) 45 (b) 2 (c) -5 (d) 1/3 (e) 4 (f) -48 (g) -1 c Which is the smallest value? (a) -3 (b) -568102 (c) -21 b What is the second biggest value in -9372.289, -0.1, 4? -0.1 Which is the fifth biggest value? (a) 1 (b) 0.01 (c) -3 (d) 5 (e) -21 (f) -40/9 f What is the sixth smallest value in -0.178, 3, -4, -0.2, -0.15, -84? 3 What is the fourth biggest value in -18201, -1, 0.5, -14043? -18201 Which is the fourth smallest value? (a) -2 (b) -4 (c) -1789309 (d) -0.1 d Which is the third biggest value? (a) 170/13 (b) 3 (c) -1 (d) 6/5 (e) 63 b Which is the second biggest value? (a) -1/5 (b) -5 (c) 0.03479 (d) -2 (e) -697 (f) -0.3 a Which is the fifth smallest value? (a) -0.4 (b) 4/7 (c) 4 (d) -0.2 (e) -2.03 c What is the third smallest value in -5/2, -14, -2/13, 2/9, 36.1? -2/13 Which is the second smallest value? (a) -3447 (b) 25 (c) 41 b Which is the fifth biggest value? (a) -0.2 (b) 5 (c) 1/2 (d) -394 (e) -3 (f) -44 (g) -0.4 e Which is the fourth smallest value? (a) 0.14 (b) -7 (c) 252 (d) 5 c Which is the fourth biggest value? (a) 4 (b) 14 (c) -9 (d) 34 c What is the third biggest value in 0.2, -3/2, -2, 1059, 2? 0.2 Which is the second biggest value? (a) -130 (b) 84567 (c) -0.4 c What is the third biggest value in 0.1291, 3/40, -1, 1? 3/40 What is the fourth biggest value in 0, 825, 24.2, 0.4? 0 What is the second smallest value in 18.4, -3, 409/68, 4? 4 Which is the second smallest value? (a) 0.3 (b) -0.4 (c) -3/2 (d) -2 (e) -9 (f) 327 (g) -2/81 d What is the biggest value in -1/6, 1/3, -118, 12, 2, -4/7, -607? 12 Which is the second biggest value? (a) 0.33 (b) 0 (c) 0
{ "pile_set_name": "DM Mathematics" }
ime number? True Is 53569 prime? True Is 526173 a prime number? False Is 3779 composite? False Is 206513 a composite number? True Is 236191 composite? True Is 133919 prime? True Is 9953 composite? True Is 62177 a prime number? False Is 1531 composite? False Is 22757 prime? False Is 23159 a composite number? False Is 866737 prime? True Is 12899 a prime number? True Is 89 a composite number? False Is 39659 prime? True Is 586837 prime? True Is 18053 a composite number? True Is 497279 prime? True Is 66587 composite? False Is 22993 a composite number? False Is 53813 a prime number? True Is 6757 a prime number? False Is 570637 a composite number? False Is 1497 prime? False Is 3827 composite? True Is 37691 a prime number? True Is 127671 prime? False Is 69627 composite? True Is 1283 a prime number? True Is 42197 composite? False Is 3965695 a composite number? True Is 14369 composite? False Is 965 a composite number? True Is 24869 composite? True Is 126647 a prime number? False Is 14693 a prime number? False Is 280897 prime? True Is 474479 a prime number? True Is 43573 prime? True Is 22553 prime? False Is 1405631 a prime number? True Is 32405 a composite number? True Is 247523 a composite number? True Is 1205221 composite? True Is 169627 composite? False Is 449 composite? False Is 8779 a composite number? False Is 66191 a prime number? True Is 36503 a composite number? True Is 12494 composite? True Is 73877 prime? True Is 21661 a composite number? False Is 34649 a composite number? False Is 75397 a composite number? True Is 4497 a prime number? False Is 72034 composite? True Is 4729 a prime number? True Is 4227 composite? True Is 17341 composite? False Is 136589 prime? False Is 712891 composite? False Is 174037 prime? False Is 13997 prime? True Is 21673 a composite number? False Is 1098095 a composite number? True Is 27941 a prime number? True Is 70051 composite? False Is 9031 prime? False Is 26947 a composite number? False Is 34757 a composite number? False Is 6113 a composite number? False Is 129697 a composite number? True Is 472273 composite? False Is 2657 prime? True Is 171809 prime? False Is 30869 a composite number? False Is 23713 prime? False Is 4721 prime? True Is 78397 prime? False Is 10369 prime? True Is 11521 prime? False Is 587813 prime? True Is 207227 a prime number? True Is 312881 a composite number? True Is 534473 prime? True Is 34211 composite? False Is 4621 a prime number? True Is 39881 a prime number? False Is 23549 prime? True Is 23123 composite? True Is 10522 a composite number? True Is 31357 composite? False Is 3179571 a composite number? True Is 10771 prime? True Is 58579 a composite number? False Is 223171 a composite number? True Is 83686 prime? False Is 37663 composite? False Is 13049 prime? True Is 93185 a prime number? False Is 57207 prime? False Is 301177 composite? False Is 81799 a prime number? True Is 2819 prime? True Is 23223 a composite number? True Is 1859921 a composite number? True Is 114127 composite? True Is 44879 a composite number? False Is 301109 prime? False Is 1589929 a prime number? False Is 9527 prime? False Is 258917 composite? False Is 256805 prime? False Is 49889 a composite number? True Is 200189 composite? True Is 5299 a composite number? True Is 112397 prime? True Is 94877 prime? False Is 752447 a composite number? False Is 18169 prime? True Is 1800907 composite? False Is 22267 a composite number? True Is 13751 a composite number? False Is 79861 composite? False Is 2512747 a composite number? False Is 583629 prime? False Is 25059 a composite number? True Is 1674017 a composite number? True Is 348827 composite? False Is 1247 a composite number? True Is 19289 a composite number? False Is 26083 prime? True Is 46723 a composite number? False Is 19793 composite? False Is 10267 a prime number? True Is 11917 prime? False Is 19193 prime? False Is 69871 a prime number? False Is 54193 a prime number? True Is 71233 a composite number? False Is 42853 composite? False Is 26447 prime? False Is 37613 a prime number? False Is 115693 composite? False Is 5116571 a prime number? True Is 69593 composite? False Is 4005101 a composite number? True Is 248717 composite? True Is 6326 composite? True Is 36077 composite? True Is 3254 a composite number? True Is 42791 a composite number? True Is 230017 composite? False Is 9589 a prime number? False Is 959323 composite? False Is 145937 prime? False Is 353845 prime? False Is 13343 a composite number? True Is 16183 a composite number? False Is 703 a composite number? True Is 1603079 a prime number? True Is 6823 a composite number? False Is 182117 a composite number? True Is 165587 composite? False Is 129263 composite? False Is 199327 a composite number? True Is 1204507 a prime number? True Is 1622 prime? False Is 873767 composite? False Is 776159 a prime number? True Is 373803 composite? True Is 329041 a prime number? False Is 145661 a prime number? True Is 490277 prime? True Is 1337 prime? False Is 55799 composite? False Is 475771 a composite number? True Is 2941141 a composite number? True Is 13781 a composite number? False Is 18413 a composite number? False Is 12797 prime? False Is 1863331 a prime number? True Is 64019 prime? True Is 49307 composite? False Is 405653 a composite number? True Is 22045 a composite number? True Is 1752001 a composite number? False Is 81053 a prime number? False Is 33043 a composite number? True Is 105817 prime? True Is 264437 a composite number? False Is 5147 a prime number? True Is 63969 composite? True Is 30737 prime? False Is 911 prime? True Is 2927 composite? False Is 2411 a composite number? False Is 62273 prime? True Is 360457 a composite number? False Is 27179 prime? True Is 376573 a prime number? True Is 447173 composite? False Is 6617 a prime number? False Is 1631 a prime number? False Is 6209 a composite number? True Is 12199 a composite number? True Is 26327 a composite number? True Is 15101 prime? True Is 39467 a prime number? False Is 32173 composite? False Is 2395639 a prime number? False Is 27771 prime? False Is 786299 composite? True Is 11735 a composite number? True Is 29831 composite? True Is 246794 composite? True Is 31441 prime? False Is 55457 prime? True Is 133919 a prime number? True Is 357503 prime? True Is 7121 a composite number? False Is 299067 a prime number? False Is 3127 a composite number? True Is 14849 a composite number? True Is 140711 a composite number? True Is 3137 a composite number? False Is 85229 composite? False Is 97837 composite? True Is 314 composite? True Is 631 composite? False Is 61733 a prime number? False Is 204557 a composite number? False Is 14941 a composite number? True Is 12437 a prime number? True Is 29269 a composite number? False Is 131381 composite? False Is 24159 a composite number? True Is 35039 a prime number? False Is 422287 prime? True Is 1240831 a composite number? False Is 221047 a prime number? True Is 11257 a prime number? True Is 110671 a composite number? True Is 35201 a prime number? True Is 379 a prime number? True Is 71507 a prime number? False Is 8143 a composite number? True Is 13381 composite? False Is 8563 prime? True Is 6109 composite? True Is 1156413 a prime number? False Is 115658 prime? False Is 296327 composite? True Is 592701 a composite number? True Is 108617 composite? True Is 23459 a composite number? False Is 1308221 composite? False Is 51083 composite? True Is 17309 a composite number? True Is 129799 a prime number? False Is 327679 a prime number? False Is 4843523 prime? False Is 382163 a prime number? True Is 4897 a composite number? True Is 26147 prime? False Is 766761 a composite number? True Is 4291 prime? False Is 3266335 a composite number? True Is 254081 composite? True Is 5981 prime? True Is 1874933 prime? False Is 1915 prime? False Is 139147 a composite number? True Is 126955 a prime number? False Is 1098833 a prime number? True Is 53422 a prime number? False Is 13501 a prime number? False Is 36509 a prime number? False Is 34019 a prime number? True Is 11959 a prime number? True Is 1709 a composite number? False Is 48491 composite? False Is 52501 prime? True Is 5249 prime? False Is 29501 composite? False Is 41831 a composite number? True Is 1203 a comp
{ "pile_set_name": "DM Mathematics" }
)/(-13)*-8 - -2. Put 0, d, c, 3/4 in descending order. c, 3/4, 0, d Let f be (32 - (-6325)/(-200))*16. Suppose t - 3*t + 16 = 2*a, 5*t + a = 24. Put t, 5, f in ascending order. t, 5, f Let r = 56650/9 - 6294. Sort 0.3, 7, r, 3/5, 1 in ascending order. 0.3, r, 3/5, 1, 7 Let j = -2.9 - -21.9. Let n = j + -18.98. Sort 0.5, 5, n in descending order. 5, 0.5, n Suppose -28*k + 26*k + 3*d = -2, -5*k + d = -5. Put 0, 5, k in descending order. 5, k, 0 Let q = -10 - -9. Let a = -1832 + 1837. Put a, q, 3, -0.2 in increasing order. q, -0.2, 3, a Let m(n) = -2*n**3 - 11*n**2 + 22*n + 97. Let b be m(-6). Sort 2, -5, b, 0, 8. -5, 0, b, 2, 8 Let f = 4671 + -4667. Put 1, f, 33, 0 in decreasing order. 33, f, 1, 0 Let j = 0 - 4. Suppose 0*s = 8*s - 192. Suppose -6*b = -18*b - s. Put j, 4, b, 3 in ascending order. j, b, 3, 4 Let g = -0.1 - -4.1. Let l = 0.164015 - -0.235985. Sort 0.01, g, l, 0.1 in increasing order. 0.01, 0.1, l, g Let h be 14 + 1 + (-494)/26. Sort 2, h, 3, 1, 4 in descending order. 4, 3, 2, 1, h Suppose 0*t + 24 = -4*t. Let y(k) = -21*k - 1642. Let s be y(-78). Put s, t, -5, -12 in descending order. s, -5, t, -12 Suppose -21*q - 145 - 11 = 12. Suppose -8 = 4*m - 2*m. Suppose -3*g - 2*g - 35 = -4*y, -5*y = 4*g - 13. Put m, q, g in increasing order. q, m, g Let x(c) = -c**3 + 5*c**2 - 6*c + 4. Let g be x(4). Suppose 3*u + 0*z - 12 = 2*z, -12 = -u - 2*z. Suppose 0*p - u = 6*p. Put g, p, 7 in decreasing order. 7, p, g Let u = 0.9 - -4.1. Let r = -8009 + 8008.7. Sort -3, r, u, -1/9 in decreasing order. u, -1/9, r, -3 Let a be (-18)/(-20) + (-3 - -2). Let y be (4/40)/(2/4)*190/38. Sort -0.5, -2, a, y in decreasing order. y, a, -0.5, -2 Let g(m) = m**2 + 61*m + 689. Let v be g(-46). Put v, 6, -12 in descending order. 6, v, -12 Suppose 2*d - 1 = -5*m - 3, -d = 2*m + 1. Let f = 14181 - 14181. Put f, 0.02, 0.1, d in increasing order. d, f, 0.02, 0.1 Let f(v) = v**2 + 9*v - 21. Let c be f(-9). Let q be (1 + 0)*(-4)/6*c. Suppose -q = 2*k - 5*z, -k - 4*z + 23 = 4. Sort -1, k, 5. -1, k, 5 Suppose 31*t + 20*t - 4*t + 141 = 0. Put 0, t, -2, -1, -4 in decreasing order. 0, -1, -2, t, -4 Suppose 5*t - 32 = -7. Suppose 148 = -f - f - t*d, 76 = -f - 3*d. Let o = f - -125/2. Sort o, 1/4, 0 in descending order. 1/4, 0, o Suppose -37*a + 90 = 25*a - 96. Let n = 3 - 5. Let k = n + 4. Put a, k, -5, -2 in increasing order. -5, -2, k, a Let l be 310/(-80) - (-2)/(-16). Suppose -29*c + 33*c - 24 = -4*z, 0 = c + 2*z - 11. Sort 5, l, c, -1 in decreasing order. 5, c, -1, l Let v = 212 + -198. Suppose -v = 3*r - i, 2*r - i = -7 - 3. Let q = 63/4 - 429/28. Sort -1, r, -1/12, q. r, -1, -1/12, q Suppose j - 90 = 7*j. Let c be (4/(-6))/((-30)/(-18)). Sort -2/3, j, c, 0. j, -2/3, c, 0 Let g = 29853 - 29847. Put 4, g, -1023 in descending order. g, 4, -1023 Suppose -l = 28 - 31. Suppose 126 - 121 = u. Sort u, 0, -5, l in increasing order. -5, 0, l, u Let m(s) = -39*s - 1842. Let n be m(-47). Put 415, -1, n in increasing order. n, -1, 415 Let u = -185 + 431. Let y = -248 + u. Sort 78, -3/4, y, -2/15 in descending order. 78, -2/15, -3/4, y Let l = -34.48 + 34.39. Let u = -71/18 - -22/9. Let q = -5/4 - u. Sort l, q, -5, 2 in descending order. 2, q, l, -5 Let p = -3 - 3. Let o = -831 - -833. Suppose -3*q = 3*u + 15, 0 = 3*q + u + o + 9. Sort 5, -1, q, p. p, q, -1, 5 Suppose 9*g + 5*y = 4*g + 1365, 0 = -g + 5*y + 261. Suppose g - 262 = 3*b. Sort b, 4, 1 in ascending order. 1, b, 4 Let x = 237/23 - 9289/897. Put 7, 2/19, x in ascending order. x, 2/19, 7 Let m be (-12 - 147/24) + 18. Suppose 2*o = 4*o - 6, -4*x + 2*o + 14 = 0. Put m, -3, x in decreasing order. x, m, -3 Let s = 1.4 + 18.3. Let k = s - 18. Let l be 9/15*(-5)/2. Sort l, -2/19, k in decreasing order. k, -2/19, l Let a(i) = -i**3 - 15*i**2 - 18*i + 7. Let q be a(-14). Let f be ((-3)/((-9)/2))/(21/q). Let h be 0/(-2) + 0 + 1. Put -1, h, f in descending order. f, h, -1 Let v = 0.196 - -3.804. Let h = 0.7 - 5.7. Let w = 919.7 + -920. Put v, -0.4, h, w in descending order. v, w, -0.4, h Let v(i) = 36*i**2 + 39*i - 2. Let d be v(1). Sort -1, 5, d in descending order. d, 5, -1 Let w = 3.9873 + 0.0127. Put -12, w, 0.49 in ascending order. -12, 0.49, w Let l = 6029 + -6030. Sort -133.3, -3/4, l in increasing order. -133.3, l, -3/4 Let d be (-1)/(3/(-33)) - 6/2. Let k be 2 + (-3 - 2) + d. Put 1, -5, -2, k in descending order. k, 1, -2, -5 Let a(q) = 13*q**2 - 2*q + 3. Let n be a(2). Let x be (0 - -1)*(n/4)/17. Let w be ((-3)/2 - -2)*0. Put w, 2, 4, x in descending order. 4, 2, x, w Let w be ((-94)/(-3))/((-6)/(-9)). Suppose -61*p - 330 = 5*p. Let k be 25/(-40)*-4*(-6)/5. Sort w, k, p in increasing order. p, k, w Let w(m) = -m**2 + 10*m + 39. Let p = 242 - 245. Let j be w(p). Put 2, -8, 1, j in ascending order. -8, j, 1, 2 Let b = -110.5 + 145. Let t = -34 + b. Sort 18, 4, t, 0. 0, t, 4, 18 Let x = 2528 + -4135/2. Let a = x - 460. Sort a, 0.2, 21 in descending order. 21, a, 0.2 Let s(x) = -x**3 + 10*x**2 - 14*x - 29. Let f be s(9). Let j = f + 90. Put -7, 3, j in ascending order. -7, 3, j Suppose 0 = -8*t - 32, 3*k + 2*t + 23 = -3*t. Put 0, 6, k, -1.4 in descending order. 6, 0, k, -1.4 Let t be (0 - (1 + -1))/((57 - 33) + -26). Sort -1996, t, 1 in decreasing order. 1, t, -1996 Let y = 17210 - 17207. Put -86, y, 2, 0 in descending order. y, 2, 0, -86 Let d(m) = 13*m**2 - 170*m - 1822. Let c be d(-7). Let z be (2*1)/(-2 - 0). Sort z, c, -5 in increasing order. -5, z, c Suppose -11 = -k - 3*t + t, 0 = 4*k + 3*t - 24. Put 2/3, 0.01, -3, k in increasing order. -3, 0.01, 2/3, k Let q = 536 - 626. Suppose -9*u = -3*u. Sort 1, -4, q, u. q, -4, u, 1 Let m be (-3)/(-9) - 0*((-77)/14 + 6). Sort 5, 2/7, -5, 4/13, m. -5, 2/7, 4/13, m, 5 Let z be (-3)/6 - 0 - -1. Let m be (-4)/(-18) + 28/((-22680)/1395). Let c be (-2 - -3)*(-15)/(-3). Sort z, c, m, 0.4. m, 0.4, z, c Let c = 160 - 154. Put c, 2, -10 in increasing order. -10, 2, c Let a be (654/(-981))/(3/(-6) - 26/(-36)). Sort a, 110, -4, 2 in descending order. 110, 2, a, -4 Let k be (-26838)/(-1491) - (-186)/(-10). Let g = -19 + 77. Put k, g, 5 in descending order. g, 5, k Let p = 8 - 3. Suppose -24 = 4*r - p*g, -3*r = -2*r + g - 3. Let q be ((-1)/3)/(6 - ((-381)/(-54) + -1)). Sort r, q, 1. r, 1, q Let z be (15 - 1484/98)/(-1). Let u = -1 + -3. Sort 56, z, u in ascending order. u, z, 56 Let d = 4578 - 4582. Sort 1, -1, d, 2, 60 in descending order. 60, 2, 1, -1, d Suppose -3*x + 0*x + 3*q = 0, 7 = -4*x - 3*q. Let g be 6/4*(0 - -2). Suppose -22 = -3*z - 4*d, -3*z + g*d = -0*z + 6. Sort x, -5, z. -5, x, z Suppose 0 = -345*f + 331*f + 14. Let y be (-30)/((-10)/2) - (4 + -1). Put f, y, -11 in ascending order. -11, f, y Let h be ((-12)/(264/11))/(5/(-160)). Let q = 11 - 11.4. Sort 1/2, -5, h, q in descending order. h, 1/2, q, -5 Let i(x) = x**2 + 4*x - 3756. Let d be i(60). Sort 7, -7, d in descending order. d, 7, -7 Let o(l) = 6*l + 20. Let u be o(2). Suppose 52*f = u*f. Put -3, f, -1, 3 in ascending order. -3, -1, f, 3 Let q be (-4275)/(-209) - (-273)/(-13). Sort 2/11, q, -0.2, 6/11 in ascending order. q, -0.2, 2/11, 6/11 Suppose 52 = -3*r + 7. Let t be r/(-13) - (-2)/(-13). Suppose -46*f = -16*f - 150. Sort 0, t, f in descending order. f, t, 0 Let s = -13537.4 - -13537. Sort -0.07, s, 4, 73 in decreasing order. 73, 4, -0.07, s Let s = 7 + -6.4. Let b = 1.4 + s. Let w = -61 - -304/5. Sort 48, w, b in descending order. 48, b, w Let o be -4 - -2 - 310/15. Let f = o - -23. Let p = -165 + 163. Sort f, -1/2, p, -0.1 in increasing order. p, -1/2, -0.1, f Suppose -88 = 37*y - 26*y. Let n(o) = o**3 + 11*o**2 + 23*o - 5. Let z be n(y). Sort 2, 4, 1, z in descending order. 4, z, 2, 1 Suppose 12*n = 11*n - 1. Let p = 0.1972 - 0.0972. Put -0.4, n, p, -5 in increasing order. -5, n, -0.4, p Let t be ((-272)/(-14))/(-4) + (135/35 - 4). Put t, 4, 3 in increasing order. t, 3, 4 Let o(b) = b**3 - 17*b**2 + 11*b - 184. Let s be o(17). Suppose -3*c + 6 = -6. Let y = -5 + c. Sort s, 5, -2, y. -2, y, s, 5 Let s = 1.256 + -1.156. Let g = -25 + 23.8. Put -5, s, 1, g in decreasing order. 1, s, g, -5 Let a(f) = -f**2 + 75*f + 567. Let j be a(82). Sort -21, 1, -1, j. -21, j, -1, 1 Suppose d + 2*i = 7, -16*d - 2*i + 17 = -17*d. Sort -22, d, 2, 1, 5. -22, d, 1, 2, 5 Let q be (-3)/(-15) + 16/70. Let n = -1.2 - -0.2. Let j = -2.880
{ "pile_set_name": "DM Mathematics" }
base 15, what is -37 - 48? -80 In base 10, what is 1 + -323? -322 In base 9, what is -2050 + -6? -2056 In base 11, what is 6 - -19? 24 In base 3, what is 1002 - 21? 211 In base 2, what is 110 - 1100110000? -1100101010 In base 8, what is -1401 + 4? -1375 In base 2, what is -10 - 110101? -110111 In base 8, what is 26 + -20? 6 In base 14, what is 2 + -2d? -2b In base 11, what is -52 - -7? -46 In base 4, what is -11 + 20300? 20223 In base 15, what is 4d + 10? 5d In base 14, what is 2 - 1097? -1095 In base 10, what is 5 + -1053? -1048 In base 11, what is -3 + -640? -643 In base 15, what is 6 - 61? -5a In base 14, what is 1 - 8d? -8c In base 2, what is 100 + -1011110? -1011010 In base 14, what is 186 - -2? 188 In base 15, what is 2 + 4e0? 4e2 In base 3, what is 12 + -110111? -110022 In base 11, what is 3439 + -1? 3438 In base 9, what is -7 + 45? 37 In base 15, what is 5 - 64? -5e In base 12, what is -2 - 48? -4a In base 3, what is 20101 - 12? 20012 In base 7, what is -130 + -3? -133 In base 2, what is 1110 + 100111? 110101 In base 6, what is -213 - -2? -211 In base 6, what is 234 - -2? 240 In base 12, what is a - 7? 3 In base 8, what is -4 + 532? 526 In base 9, what is 63 - -25? 88 In base 6, what is 3 - 121? -114 In base 13, what is -1 + -a01? -a02 In base 16, what is -d2 + 5? -cd In base 11, what is -230 - 26? -256 In base 10, what is 2 + -178? -176 In base 7, what is 400 + 13? 413 In base 14, what is 84 - 2? 82 In base 13, what is -37 - -5? -32 In base 9, what is 436 + 5? 442 In base 2, what is -100 - 111101010? -111101110 In base 8, what is -302 + 75? -205 In base 15, what is 366 - 3? 363 In base 3, what is -10121 + -12? -10210 In base 7, what is 1253 - 2? 1251 In base 8, what is -74 + 3? -71 In base 2, what is 110000 + -1111? 100001 In base 12, what is 2a0 - -a? 2aa In base 12, what is 28 + -2? 26 In base 5, what is -101111 - 1? -101112 In base 2, what is -10111110 - 1000? -11000110 In base 7, what is 24 + -10? 14 In base 5, what is -44 - 133? -232 In base 14, what is 14 - -23? 37 In base 2, what is 1010 + 10000011? 10001101 In base 6, what is 1433 - 2? 1431 In base 10, what is 3 - 1352? -1349 In base 10, what is 2887 - 2? 2885 In base 11, what is 2 + -95? -93 In base 2, what is -10110 - 1111? -100101 In base 6, what is 15 - -44? 103 In base 2, what is 1101010 - -10000010? 11101100 In base 8, what is 122 + 34? 156 In base 14, what is -4 - -55? 51 In base 9, what is -267 - 3? -271 In base 7, what is 0 - 11? -11 In base 3, what is 21 - 201? -110 In base 7, what is 44 + -12? 32 In base 11, what is -4 - a5? -a9 In base 11, what is 7a6 - 23? 783 In base 5, what is -1 - 12004? -12010 In base 3, what is 10 - -10122? 10202 In base 2, what is -110 - 110000? -110110 In base 5, what is -103 + -11? -114 In base 16, what is 1b - -50? 6b In base 10, what is -66 - -6? -60 In base 4, what is -3 + -233121? -233130 In base 4, what is 2033 - -133? 2232 In base 7, what is 3 + -23? -20 In base 9, what is 1843 + 2? 1845 In base 2, what is -101001 + -100? -101101 In base 13, what is 17 - -a? 24 In base 3, what is 1102 - 1? 1101 In base 5, what is 102223 - 4? 102214 In base 13, what is -30 + c6? 96 In base 8, what is -220 + 16? -202 In base 15, what is 5 + 62d? 633 In base 7, what is -60263 - -4? -60256 In base 12, what is -2 + 2b? 29 In base 16, what is 6d + -5? 68 In base 9, what is -13 + -1? -14 In base 9, what is -5 - 1? -6 In base 13, what is -5 + -79? -81 In base 5, what is 0 + -214? -214 In base 11, what is 2 - 5? -3 In base 10, what is 54 - 68? -14 In base 15, what is -7 + -1c? -24 In base 6, what is 124010 - -1? 124011 In base 10, what is -12279 + -3? -12282 In base 16, what is -29dc - 5? -29e1 In base 4, what is 103 - 0? 103 In base 13, what is -1874 - -4? -1870 In base 10, what is 101 - -5? 106 In base 12, what is -7 - a9a? -aa5 In base 16, what is 4eb - -1? 4ec In base 10, what is -5 + -221? -226 In base 12, what is -33b - -17? -324 In base 8, what is -2103 + -3? -2106 In base 8, what is 5 + -12704? -12677 In base 5, what is -1332 - -11? -1321 In base 5, what is -3 - 144003? -144011 In base 10, what is 0 + -73? -73 In base 8, what is -52 - 144? -216 In base 3, what is -1200 - 12? -1212 In base 9, what is -7 - -15? 7 In base 7, what is 0 - -36? 36 In base 5, what is 10 + 42203? 42213 In base 10, what is -29 + 7? -22 In base 7, what is -2 + -3065? -3100 In base 4, what is -31 - 10? -101 In base 3, what is -10111021 + -2? -10111100 In base 10, what is -175 + 2? -173 In base 9, what is 5 + -160? -154 In base 13, what is -a + 8b? 81 In base 4, what is 1321 - -11? 1332 In base 8, what is -5 + 65? 60 In base 15, what is 3 - -686? 689 In base 12, what is 2 + -380? -37a In base 12, what is 32 - -42? 74 In base 12, what is 79 + -73? 6 In base 3, what is 211022111 + 2? 211022120 In base 5, what is -2413 + -30? -2443 In base 15, what is -25a - -2? -258 In base 2, what is 10000000101100 + -1? 10000000101011 In base 9, what is 0 + 4343? 4343 In base 6, what is 250 - -2? 252 In base 8, what is 2542 + -1? 2541 In base 2, what is -111 + -1010010? -1011001 In base 10, what is -720 + -5? -725 In base 12, what is -5 + -65? -6a In base 4, what is -11 + 1133? 1122 In base 3, what is -12 + -10200? -10212 In base 8, what is -564 + 0? -564 In base 7, what is 6 - -1423? 1432 In base 9, what is 137 - -36? 174 In base 13, what is -33 + 8a? 57 In base 11, what is -1 + 7aa? 7a9 In base 9, what is -18 + 4? -14 In base 5, what is -112 + 44? -13 In base 8, what is 5 + -3604? -3577 In base 12, what is 1 + -1059? -1058 In base 11, what is -302 + -5? -307 In base 7, what is 4 + 123? 130 In base 15, what is 456 + 3? 459 In base 7, what is -44 + 65? 21 In base 7, what is -143316 - 4? -143323 In base 9, what is 72 - 5? 66 In base 14, what is 1a8 + -2? 1a6 In base 10, what is 3 + 82? 85 In base 4, what is 1 - 1103030? -1103023 In base 14, what is 9d + -1? 9c In base 8, what is -5275 + 5? -5270 In base 16, what is -9 - -3? -6 In base 16, what is 3 - -dc? df In base 2, what is -111 - 110010100? -110011011 In base 2, what is 100100010111 + -1? 100100010110 In base 15, what is -4 + 7c? 78 In base 14, what is -b - -11? 4 In base 5, what is 10244 - 1? 10243 In base 9, what is 0 - 134? -134 In base 8, what is 3 - 614? -611 In base 14, what is 3 + 3? 6 In base 5, what is -42241 + 1? -42240 In base 4, what is 1 - 21123? -21122 In base 2, what is 101111000010 - -100? 101111000110 In base 14, what is -d - 8? -17 In base 11, what is a - 26? -17 In base 6, what is -1125 + 1? -1124 In base 15, what is -5 + a0? 9a In base 11, what is 3 - 292? -28a In base 16, what is 294 - 5? 28f In base 3, what is 11 + 22021000? 22021011 In base 3, what is 1111 - -2? 1120 In base 15, what is 28 + -179? -151 In base 7, what is 3 - 15454? -15451 In base 14, what is 30 - -5? 35 In base 6, what is -1 + 514? 513 In base 7, what is 23 - 12? 11 In base 3, what is 120020 + 20? 120110 In base 10, what is 12 - 101? -89 In base 15, what is -7 + 1d2? 1ca In base 3, what is 0 + -2101100? -2101100 In base 8, what is -700 - 66? -766 In base 16, what is -5b - 1? -5c In base 11, what is -6 + -13? -19 In base 15, what is -4 - 57? -5b In base 8, what is -3057 + 5? -3052 In base 12, what is -2 - -1b43? 1b41 In base 10, what is -3 - -50? 47 In base 14, what is 32 - -32? 64 In base 12, what is 1 - 21? -20 In base 11, what is -2 + -60? -62 In base 13, what is -6 + 493? 48a In base 14, what is 19 - 22? -7 In base 3, what is 1102021 - 1? 1102020 In base 13, what is 13b6 - -1? 13b7 In base 14, what is 3d + 4? 43 In base 10, what is -8 - -1? -7 In base 11, what is -24 + -73? -97 In base 16, what is 4 + 5? 9 In base 6, what is 0 - 1442? -1442 In base 13, what is b39 + -4? b35 In base 3, what is 20 - -2202120? 2202210 In base 11, what is 1 + -6? -5 In base 7, what is 2 - 14026? -14024 In base 3, what is 222 + -2? 220 In base 3, what is 11 + -212202? -212121 In base 13, what is -5072 + 4? -506b In base 14, what is 1 + -5cb? -5ca In base 6, what is 20 + -34? -14 In base 7, what is 1562 + 5? 1600 In base 9, what is 3 + 77? 81 In base 13, what is 1 - -37? 38 In base 2, what is 100110 - 110100? -1110 In base 13, what is -21 - 14a? -16b In base 15, what is 2 - 70? -6d In base 9, what is 410 - 5? 404 In base 14, what is -1b + 1c3? 1a6 In base 16, what is 4
{ "pile_set_name": "DM Mathematics" }
/7 c Let y = -79.57 + -2.43. Let h = 82 + y. Let s be 12/14*1/(-2). Which is the smallest value? (a) s (b) 0.4 (c) h (d) -0.5 d Let i = 4318 - 4318.4. What is the biggest value in i, -0.2, 0.5, -2/11, 254? 254 Let w = -92 - -254. Let s = -164 + w. What is the smallest value in s, 5, -0.06? s Let u = 1455 + -1519.9. Let b = -65 - u. Suppose -5*a + 1 = -9. What is the second smallest value in -3, b, a, -1/2? -1/2 Suppose -1678 = -38*u - 538. Suppose 36 = 4*y + 4*w, 2*w = -14*y + 9*y + u. What is the third biggest value in -4/7, y, 1/5, -0.2? -0.2 Let i = -1.96 - -2.46. Let k = 42 - 24. Suppose 0*a - a - k = -3*v, 0 = -2*v - 4*a - 2. What is the second biggest value in i, v, -0.1? i Let v = -0.341 - -0.541. Let t(g) = -g**2 + 4*g + 4. Let s be t(4). Which is the third smallest value? (a) -2 (b) s (c) -2.5 (d) v d Let s = -9.2779 - 3.0891. Let v = 0.367 + s. What is the smallest value in 1/2, -0.3, 0.2, v? v Suppose -16 + 22 = 6*x. Let r be (-969)/561 - -2*x/1. Let u = 5.4 + -1.4. What is the second smallest value in u, 2/15, r? r Suppose 0 = y - 185 - 0. Suppose m - y + 181 = 0. Which is the biggest value? (a) 45 (b) 0.4 (c) m (d) -1/5 a Suppose 4*u - 653*f = -648*f - 18, -15 = -u - 2*f. Which is the third biggest value? (a) -0.5 (b) u (c) 553 a Let r(z) = -z**3 + 3*z**2 + 4*z - 1. Let l be r(4). Let y = 5 + -8. Let b = -9941/28 + 2480/7. What is the fourth biggest value in b, 2/3, l, y? y Let n = -52 - -68. Suppose 12*k = n*k + 528. Let g = 1190/9 + k. Which is the second biggest value? (a) 5 (b) -0.3 (c) g (d) 3/7 d Let v(r) = 10*r**2 - 4. Let u be v(4). Let n be 2/9*3*13/u. What is the second smallest value in 10, -5, n? n Suppose -4*k + 66 = -0*z - 2*z, 63 = 4*k - z. Let q be 42/(-54)*k/(-70). Which is the fourth smallest value? (a) -2/3 (b) 0.8 (c) 0.3 (d) q b Let b(z) = -13*z + 52. Let a be b(7). Let l be (4/(-3))/(26/a). What is the third biggest value in l, 5, 6? l Let x(h) = 7*h - 28. Let n be x(13). Suppose d - 66 = -n. Let u = -22 - -21.98. Which is the second biggest value? (a) -4/3 (b) d (c) u c Let g = 65.7 - 218.1. Let l = g + 152. Which is the third biggest value? (a) l (b) 0.3 (c) 2 (d) 4 b Let o be 126/(-90) - 6/60. What is the fifth biggest value in 100, 2, o, -1/7, 5? o Let u be (2/(-4) - 2)*(28 + -37 + 7). What is the biggest value in u, -2, 139? 139 Let r = 292.05 + -293.05. Which is the third smallest value? (a) 0.5 (b) -254 (c) 0.03 (d) r (e) -2/7 e Let x = -0.2 - 0.3. Suppose 93 = -3*l + 2*s + 87, -s = -5*l - 17. Which is the third biggest value? (a) x (b) -3/4 (c) l (d) -1 d Let o = 4.47 + -4.536. Let v = -137.066 - o. What is the third biggest value in -5, -2/5, v? v Let z = -2023.6 + 2022.9. What is the biggest value in z, -0.2, -0.4, -0.1, 3? 3 Let w = -51/385 - -13/77. What is the third biggest value in w, 0.3, -0.02, 0.5, 3? 0.3 Let v be 9228/((-344)/(-16) + 4). Let y = -362 + v. Which is the third smallest value? (a) 25/7 (b) -5 (c) y a Let i be -7*(9/63 + 0). Suppose -12*y = 22 + 2. Which is the fourth biggest value? (a) 3 (b) -0.6 (c) i (d) y d Let j = 427.38 + -483.38. Which is the smallest value? (a) -0.5 (b) -16 (c) j c Let z = -47.47 - -52.47. What is the biggest value in z, 1.4, 1/6? z Let p = 10733 - 10737. Which is the biggest value? (a) 4 (b) -11/45 (c) p (d) 0.3 a Let l(z) = -8*z**2 + 584*z - 4. Let h be l(73). What is the second biggest value in 1/3, -18, h, -0.07, 1/4? 1/4 Suppose 5*i = -2*d + 33, 12 = -5*d + i + 27. Suppose 8 = -d*u + 4*a, 10 = -4*u + 5*a + 3. Let m = -2.67 - -2.17. What is the third smallest value in -0.2, m, u? -0.2 Let o = -10010.5 - -10020. What is the third biggest value in -1/6, o, 3? -1/6 Let k = -12 + 78. Let w = 1.44 + 64.56. Let q = w - k. What is the smallest value in 6/11, q, 1/4, 1/3? q Let i = -0.6221 - -0.5821. What is the biggest value in 2, i, -2/17, 3? 3 Let x = 38.037 + -37.837. Let y be 2/(-10)*1/1. Which is the biggest value? (a) -40 (b) x (c) y (d) 2 d Let k = 24743 - 24744. What is the second biggest value in -1/9, k, 2? -1/9 Let o be 3/30*(-300)/240. Let v = 50/7 - 2157/301. Let j = v + 46/129. Which is the second biggest value? (a) -1/9 (b) o (c) j a Let m(t) = 332*t - 3974. Let v be m(12). What is the smallest value in -0.4, 3/4, v, -4, -3? -4 Let a(c) = -c**2 + 23*c - 72. Let b be a(4). Suppose 0 = 3*t + o - 0*o + 14, -b = 3*t - 4*o. What is the second smallest value in 6/7, t, 0.1? 0.1 Let j = -1447 - -1446.9708. Which is the third biggest value? (a) j (b) 2/7 (c) -5 c Let f = 6 + -1. Let t = 945062 + -2835223/3. What is the third smallest value in t, -1, f, 4? 4 Let j = 316/815 - -2/163. Let v = -21.9 - -26.9. Which is the fourth biggest value? (a) 2/7 (b) 2 (c) j (d) v a Let h = 110/483 + 4/69. Suppose -3*c + 192*b = 191*b - 16, -2*c - 6 = b. What is the second smallest value in c, h, 3, 0.2? h Let p = 29.1 - 30. Let l = 1.2 + p. Let w(a) = -a**3 + 8*a**2 - 2*a + 13. Let r be w(8). What is the third biggest value in l, 4, r? r Let g = 10052 - 40209/4. Which is the third smallest value? (a) -0.08 (b) g (c) 0.17 (d) -4/5 a Suppose 4*l = -5*t + 1199, 2293 = l - 4*t + 2030. What is the second smallest value in -1.9, 1/4, l? 1/4 Let k = -0.34889 - -0.22889. What is the third biggest value in -1/3, -37, 1/3, 3, k? k Suppose b - 35 = 6*b. Let z be (-6 - b) + 4/(-3). Suppose 4*h + 14 = -2*o, 0 = -6*o + 11*o - 3*h - 17. What is the second biggest value in o, z, -0.5? z Let l = 140.4 + -140. Let x(u) = u**3 - 13*u**2 - u + 12. Let y be x(13). Let j be (4 - 3)*(y + -2). What is the smallest value in 5, l, j? j Let f(v) = v**2 - 309*v - 627. Let k be f(-2). What is the fourth smallest value in -2/11, k, 0.08, 52, 4? 4 Let x = -19342 - -19345. What is the second biggest value in 253, -3, 0.4, x, 1/4? x Suppose 0 = -3*w + 1 - 10. Let t = 1 + -6. Suppose -1890*k + 2*x + 2 = -1894*k, -2 = 3*k + x. What is the biggest value in 0.5, t, k, w? 0.5 Let n = -26 + -326. Let r = 352.3 + n. Which is the third biggest value? (a) -4 (b) 2 (c) 0.1 (d) r c Let w = -0.32 + 0.51. Let y = w + -0.29. Let b = 11.3 - 11. What is the second biggest value in y, b, -1/9? y Let s be (90/(-21) - -5) + 1/(-7)*5. What is the biggest value in 5, 0.2, s, -3/2543? 5 Let o = -86.77 + 89.17. Which is the fourth biggest value? (a) 0.4 (b) o (c) -0.3 (d) -6/19 (e) -1/2 d Let w(h) = -2*h**2 + 5*h + 16. Let u be w(4). Let i = -0.11 - -0.15. What is the third smallest value in i, u, 3? u Let g = 5.708 + -6.708. Let a be 78/(-24) - 2/(-8). Let l be ((-2)/6*a)/1. What is the fourth smallest value in l, 2/7, g, 3/8? l Let y be -5 + (4 - 9/(-12)*-2). Suppose -4*s - 22 - 2 = -4*j, -6 = 2*s + 4*j. Which is the third smallest value? (a) y (b) 7/4 (c) s b Let o = 4999 - 4997. What is the biggest value in o, 0.5, -2/9, 0? o Let i = -23 + 22. Let j = -29286 - -29284. Which is the second smallest value? (a) -4 (b) j (c) i (d) -44 a Let z = -6 + 10. Let b(d) = 107*d**2 + 8667*d + 133. Let k be b(-81). What is the second smallest value in 5, k, z? 5 Let w be (-162)/(-8) - ((-330)/24 - -14). Let p be -5 + (5 - w/130). Which is the third smallest value? (a) 1/7 (b) p (c) 2 c Let v = 1405 + -40751/29. Let f = -26733 + 8527835/319. Let u = f + v. Which is the third smallest value? (a) -1/7 (b) -0.4 (c) u (d) 2 a Let q = -4359 - -4359. Let g = 51.23 + -51. What is the biggest value in q, -4/5, g? g Suppose 8*c - 587 = 637. Let l be ((-2)/2)/(c/(-18) + 12). What is the second smallest value in l, -1, 2? l Let x = 20 - 36. What is the third biggest value in 3, -4, 1, 1.5, x? 1 Let f = 6 - 10. Let k = f + -7. Let t = -181 + 180. What is the second biggest value in -1/2, t, k? t Let x = -0.0086 + -0.0914. Let j = 0.07 + 0.01. Let s = j - -0.02. What is the third biggest value in 15, s, x? x Let n = 130.5 - 129. Let k = n + -1.4. Which is the third biggest value? (a) 2 (b) 11 (c) k c Let p = 2 - 1. Let y = -11/12 - -53/84. Let h = 2048.2 - 2048. Which is the smallest value? (a) -4 (b) h (c) y (d) p a Let w = 45.32 + -41.32. Suppose -5*k - 4*l = -56, k - 2*k - 2*l = -16. Let y be 20/(-8)*k/130. What is the fourth smallest value in -4, y, w, 0.1? w Let s = 110.98 - 110.48. Let y = 2/7 + -4/7. Which is the second biggest value?
{ "pile_set_name": "DM Mathematics" }
pose b = 4*y + 2*h - 214, 0 = 2*y + 5*h - 68 - 19. What is the tens digit of y? 5 Let i be -1*(-6)/(-18)*0. Suppose 2*s = -i*s + 896. What is the tens digit of s? 4 Let h(b) = -748*b - 1188. What is the hundreds digit of h(-23)? 0 Let n(d) = 75*d + 15. Let w(b) be the first derivative of 15*b**2/2 + 3*b - 6. Let s(k) = 4*n(k) - 21*w(k). What is the tens digit of s(-4)? 5 Let f be (-23)/(-6) + 3/18. Suppose 35 = 5*v - f*i, 3*v = v - 2*i - 4. Suppose 0 = -v*t + 94 + 149. What is the tens digit of t? 8 Let a be 1670/6 + 0 + (-76)/(-114). What is the thousands digit of a/651 - (-19832)/14? 1 Let v(k) = -844*k - 271. What is the tens digit of v(-8)? 8 Let h = 140 + -135. Suppose -4*c - 4*o = -576, -c = 2*c - h*o - 432. What is the hundreds digit of c? 1 Suppose -4*x + 58 = p, -2*p - 60 = 3*x - 166. Suppose -306 = 49*a - p*a. What is the tens digit of a? 0 Suppose -2*x = -252 + 268, 3*x - 66958 = -q. What is the thousands digit of q? 6 Let p = -3 + 10. Let y(g) = 13*g + 9*g - 11*g - 29 + g. What is the units digit of y(p)? 5 Let d(g) = g**2 - 32*g - 88. Let n be d(31). Let z = 35 - n. What is the units digit of z? 4 What is the tens digit of ((-7104)/20)/(22 + 7483/(-340))? 5 Let u(r) = 6*r**2 - 39*r - 108. What is the units digit of u(36)? 4 Let q(d) = 92*d**3 + d**2 - d. Let r be 45/55 - (-2)/11. What is the tens digit of q(r)? 9 Suppose -60 = -28*f + 16*f. Suppose f*n = -w + 1053, 4*w + 5*n = w + 3189. What is the units digit of w? 8 Let j = -19230 - -27106. What is the units digit of j? 6 Let v = -133 + 80. Let x = v - -58. Let w(i) = 4*i**2 + 5*i - 15. What is the hundreds digit of w(x)? 1 Let d be (-76)/(-114)*6*1. Suppose 3*t + 3526 = 4*y, d*t + 1758 = -y + 3*y. What is the units digit of y? 3 Suppose 4*k - 13348 = -4*a, -18*a + 19*a = -6. What is the thousands digit of k? 3 Let d(b) = -20*b**3 - b**2 - b + 1. Let g be d(3). Let z = g - -954. What is the tens digit of z? 0 Suppose 67*z - 151382 = 123*z - 70*z. What is the hundreds digit of z? 8 Let k(s) = -7*s**2 + 5*s - 6. Let h(y) = -y**2. Let i(w) = 4*h(w) - k(w). Let c be i(-9). Suppose 5*t + t = c. What is the units digit of t? 9 Let o = 23 - -27. Suppose -48*i + o*i - 220 = 0. Let y = i + -54. What is the units digit of y? 6 Let b(q) = 31*q**2 - 48*q + 70. What is the tens digit of b(11)? 9 What is the ten thousands digit of (221/(-51))/(7 - 369816/52830)? 3 Let j(o) = -o**3 + 3*o**2 + 14*o + 6. Let m(i) = i**3 - 9*i**2 - 12*i + 9. Let x be m(10). What is the thousands digit of j(x)? 1 Let a(j) = -6 + 4*j**2 + 11*j + 13 + 2 + 9. What is the units digit of a(9)? 1 Let k = 36290 - 27330. What is the tens digit of k? 6 Let q(z) be the first derivative of 5*z**4/4 - 3*z**3 - 7*z**2/2 + 2*z - 121. What is the tens digit of q(3)? 3 Suppose 46*s - 4*a + 9732 = 48*s, 0 = 2*s - a - 9757. What is the hundreds digit of s? 8 Suppose 4*p + 0*u + 5*u - 146395 = 0, -u - 292845 = -8*p. What is the thousands digit of p? 6 Let q(c) = c**3 + 81*c**2 + 208*c - 410. What is the thousands digit of q(-73)? 7 Suppose 2*q = -0*q + 2*r + 1662, -2*r + 834 = q. Suppose -2*j + 1248 = j + 4*u, -2*j = -4*u - q. Let i = -237 + j. What is the hundreds digit of i? 1 Let v be -2*(-7 + 27/6). Let o be (-3)/6*2 - -366. Suppose 0 = -5*d + v*f + o, -7*f = -2*f + 25. What is the units digit of d? 8 Let g = 442 + -34. Let x = g + -157. What is the tens digit of x? 5 Let u = -3711 + 7208. What is the tens digit of u? 9 Let d(v) = 4*v - 70. Let w be d(-49). What is the tens digit of -66*(-3)/((-63)/w)? 3 Suppose 4 = -8*k + 9*k. Suppose h - 427 = 4*i - 3*i, -k*i = h - 422. What is the tens digit of h? 2 Suppose 3*i - 15 = -w, 6 = -w + i + 1. Suppose 15*z - 16*z + 4 = w. Suppose -152 = -q + 2*t - 40, 0 = 4*t + z. What is the tens digit of q? 1 Let o(l) be the first derivative of l - 11/3*l**3 + 1/2*l**2 + 1/4*l**4 - 4. What is the units digit of o(11)? 2 Let t(h) = h**3 - 44*h**2 - 85*h + 44. What is the units digit of t(48)? 0 Let y = 282 - 279. Suppose y*p - 2485 = 2195. What is the units digit of p? 0 Let g(b) = -66*b - 3. Let w(v) = v + 1. Let q(d) = -g(d) - 2*w(d). Let s be q(-1). Let t = 101 + s. What is the tens digit of t? 3 Let d(g) be the third derivative of -g**5/60 - 5*g**4/24 - g**3/3 - 10*g**2. Let m be d(-2). What is the units digit of ((-5)/3)/(m/(-228))? 5 Let j(v) = v**3 + 19*v**2 + 10*v - 46. Let a be j(-18). Suppose 1928 - a = 2*k. What is the units digit of k? 5 Suppose 27*z - 4*s = 29*z - 11080, 2*z + s - 11086 = 0. What is the tens digit of z? 4 Let w(m) = -3*m + 10. Let g be w(3). What is the units digit of 687 + (g - 7) - 6? 5 What is the ten thousands digit of (3096/(-120) - -21)/((-4)/44830)? 5 Let j be 6/(-4)*17/(51/(-6058)). Suppose 3*x - 2454 = -4*y + 571, x + j = 4*y. What is the tens digit of y? 5 Let t = -178 + 184. Let q(b) be the third derivative of 2*b**4/3 - 3*b**3/2 - 3*b**2. What is the units digit of q(t)? 7 Let p(r) = 308*r**2 + 32*r - 1129. What is the thousands digit of p(-16)? 7 Let t be -58*(3 + (0 - 2)). Let j = -103 - t. What is the tens digit of 12/16 + j/(-4)? 1 Let b(y) = -1005*y - 826. What is the hundreds digit of b(-12)? 2 Suppose -105*r = -113*r + 32. Let u(a) = 21*a**3 - 3*a**2 + 5*a + 6. What is the units digit of u(r)? 2 Let v = 78 + -71. Let t(n) = n**3 - 7*n**2 + 3*n - 14. What is the units digit of t(v)? 7 Suppose 455*j - 33469 = 432*j + 16625. What is the thousands digit of j? 2 Let p = 179 + 321. Suppose 18*i - 2948 = -p. What is the units digit of i? 6 What is the hundreds digit of ((-18611)/74)/(2/(-4))? 5 Let f = -46942 + 81127. What is the units digit of f? 5 Let n(q) = -4*q + 46. Let c be (((-16)/6)/(-2))/((-12)/(-90)). Let l be n(c). Suppose 978 = -0*x + l*x. What is the tens digit of x? 6 Let p be (-2)/((-4)/3824*4). Let c = -184 + p. What is the tens digit of c? 9 Let p be (-828)/(-115)*6/((-24)/(-50)). Let z = 6 + -4. Suppose -z*y - 5*s = -112, 3*s = 3*y - p - 78. What is the tens digit of y? 5 Let m(x) = -10*x - 26. Let p be m(-8). Let l = p - 47. Suppose -8*h + 123 = -l*h. What is the units digit of h? 3 Let i be 0/2 - 5/(5/(-149)). Suppose 0 = 4*f + 5*g - 2198 - 239, 4*f - 2446 = -2*g. Suppose 8*h + i - f = 0. What is the tens digit of h? 5 Let o(z) = 98*z + 91*z - 197*z + 2*z**2 + 9. Let t be o(10). Suppose -4*j = -3*j - t. What is the tens digit of j? 2 What is the thousands digit of (58420 + (-15 - -2))*(-3)/(-18)*2? 9 Suppose 0 = -18*i + 16*i + 10. Suppose -i*j = -j - 944. What is the hundreds digit of j? 2 Let t be -1*4 + -9 + 15. Let f be 121/(-17) - t/(-17). Let n = 62 + f. What is the units digit of n? 5 Suppose 23908 = 4*w + 2*b, 16*w - 21*w - 4*b + 29882 = 0. What is the hundreds digit of w? 9 Let p = 30567 - -5226. What is the units digit of p? 3 Let n = -16138 - -18606. What is the units digit of n? 8 Suppose 16*d = 18*d + 44*d - 751456. What is the units digit of d? 6 Let t = -18129 + 26219. What is the hundreds digit of t? 0 Let q(r) be the second derivative of r**4/4 - 2*r**3/3 - r**2/2 - 8*r. Let u be q(2). Suppose -575 = -u*h - 2*h. What is the hundreds digit of h? 1 Let u be 7 + 14/(-2) + (-165 - 3). What is the tens digit of (u/(-105))/((-4798)/1600 - -3)? 8 Let p(h) = -2*h**2 - 17*h - 5. Let l be p(-8). Let j be 2 - (l - 7)/4*25. Suppose 3*i - 96 - j = 0. What is the tens digit of i? 4 Let y = -15 + 96. Let h = y - 42. Suppose 72 + h = 3*q. What is the tens digit of q? 3 Suppose 442*j - 494*j + 916136 = 0. What is the thousands digit of j? 7 Let s = -32649 + 90184. What is the thousands digit of s? 7 What is the units digit of (63 - 59) + (4/(-6) - (-3948)/9)? 2 Let y = 26626 - -20467. What is the thousands digit of y? 7 Let n(k) = 99*k**2 + 109*k - 2218. What is the tens digit of n(18)? 2 Suppose -3*a = h - 27, -3 = 4*h - 5*a - 60. Suppose 0 = m + h*m - 3895. What is the hundreds digit of m? 2 Suppose -p = 5, 9773 = b + p + 2037. What is the tens digit of b? 4 Let r = 279 - 279. What is the units digit of (531 - 22) + r + 5? 4 Let t(r) = -4*r + 9. Let h be t(3). What is the tens digit of (-44 - -13)/(h/24)? 4 What is the tens digit of 67461236/1700 + (-12)/150? 8 Let k(i) = -i**2 - 7*i + 179. Let f be k(0). What is the tens digit of 15/(15/4)*f? 1 Let o = 83 + -56. Suppose 816 = -30*y + o*y. What is the tens digit of 2/7 - y/28? 1 S
{ "pile_set_name": "DM Mathematics" }
= 13 for x. -5 Solve -2*h = -12 + 20 for h. -4 Solve -19*g = -21*g + 10 for g. 5 Solve 0 = -6*u - 83 + 71 for u. -2 Solve 385 = -3*y + 376 for y. -3 Solve 17*g - 63 = 39 for g. 6 Solve 700 = 33*b + 832 for b. -4 Solve 20*x + 144 = 44*x for x. 6 Solve -328*x = -338*x + 30 for x. 3 Solve 26*v + 12 = 24*v for v. -6 Solve 0 = 81*h - 78*h + 9 for h. -3 Solve 3 = 2*z + 3 for z. 0 Solve -35*w + 128 = -117 for w. 7 Solve 63 - 45 = 6*v for v. 3 Solve 28*n - 5 = 29*n for n. -5 Solve -2*n = -10*n - 40 for n. -5 Solve -27 = -17*f - 10 for f. 1 Solve 307 = 10*u + 257 for u. 5 Solve 16*a + 35 = 23*a for a. 5 Solve -60*a - 141 = 39 for a. -3 Solve 232 = -7*v + 204 for v. -4 Solve -74 + 238 = -41*y for y. -4 Solve 9*c - 6*c = 0 for c. 0 Solve -545*m = -550*m - 25 for m. -5 Solve 0 = -15*y + 25*y - 40 for y. 4 Solve 3*v - 4 = -16 for v. -4 Solve 10 = 7*u - 5*u for u. 5 Solve 3*l + l = 12 for l. 3 Solve 0 = -2*p + 2*p - 3*p for p. 0 Solve 360 = 26*q - 71*q for q. -8 Solve 9*c - 8 - 10 = 0 for c. 2 Solve 33*o - 2*o - 93 = 0 for o. 3 Solve 12 = -10*c + 62 for c. 5 Solve -2 + 8 = -6*l for l. -1 Solve 0 = 216*q - 226*q + 50 for q. 5 Solve 0 = -2*n - 0 - 0 for n. 0 Solve 53 = 5*d + 48*d for d. 1 Solve -14*n + 2 = -16*n for n. -1 Solve 24*r + 4*r = 168 for r. 6 Solve -62*j = -145*j + 83 for j. 1 Solve -21 = -32*d + 39*d for d. -3 Solve -2*p - 3 = -11 for p. 4 Solve 589*q + 56 = 581*q for q. -7 Solve -78 = -14*w + 40*w for w. -3 Solve 5*b = 33 - 8 for b. 5 Solve 0 = -14*f - 16 + 44 for f. 2 Solve 14*n + 19 - 5 = 0 for n. -1 Solve 3*w = -0 - 3 for w. -1 Solve -31 - 1 = 8*m for m. -4 Solve -3 = -a - 4 for a. -1 Solve 4 = -h + 6 for h. 2 Solve -2939*a = -2928*a - 11 for a. 1 Solve -2*k - 40 = -50 for k. 5 Solve -44 = z - 47 for z. 3 Solve 21*h - 6*h = -15 for h. -1 Solve 0 = -3*n - 113 + 101 for n. -4 Solve -87*t + 375 = -12*t for t. 5 Solve -29 - 237 = 38*x for x. -7 Solve -6*n = 31*n - 2*n for n. 0 Solve -15*u + 35 = -10*u for u. 7 Solve 1086*y - 190 = 1105*y for y. -10 Solve 0 = 19*u - 7*u - 48 for u. 4 Solve -73*h + 65 = -81 for h. 2 Solve 3*c - 25*c + 22 = 0 for c. 1 Solve 13*x + 12 = 9*x for x. -3 Solve -2*m + 30 = 44 for m. -7 Solve 13*v = 26 - 13 for v. 1 Solve 0 = 36*w + 99 + 45 for w. -4 Solve 29*h = -87*h + 116 for h. 1 Solve -81*i + 77*i = -16 for i. 4 Solve 8*k + 70 - 14 = 0 for k. -7 Solve 0 = 3*z - 2 - 7 for z. 3 Solve 0 = -134*m + 137*m - 3 for m. 1 Solve 2*y - 2 = 6 for y. 4 Solve -169 + 169 = -3*s for s. 0 Solve 11*o = 7*o + 16 for o. 4 Solve 22*p = 19*p - 9 for p. -3 Solve -2*v + 8 + 0 = 0 for v. 4 Solve 0 = -41*c + 97*c - 504 for c. 9 Solve 2 = -19*z - 150 for z. -8 Solve 151 - 95 = -7*g for g. -8 Solve -11*b + 10*b + 2 = 0 for b. 2 Solve -15 = 108*f - 113*f for f. 3 Solve u - 739 = -736 for u. 3 Solve -4*h - 13 = 7 for h. -5 Solve -96*d + 25 = -101*d for d. -5 Solve 171*u = 103*u + 476 for u. 7 Solve 0 = 11*z + 13*z - 0*z for z. 0 Solve 0 = -4*h - 2*h + 2*h for h. 0 Solve 1 - 7 = 6*b for b. -1 Solve 29*i - 28 - 88 = 0 for i. 4 Solve 0 = 78*z - 71*z + 35 for z. -5 Solve -18*y - 9 = -15*y for y. -3 Solve 0 = -7*c - 407 + 421 for c. 2 Solve -61*x + 2 = -60*x for x. 2 Solve -130*r - 6 = -128*r for r. -3 Solve 83*z + 22 = 72*z for z. -2 Solve -3*c + 4*c - 4 = 0 for c. 4 Solve 9*z - 19 - 35 = 0 for z. 6 Solve 9*y = -17 + 62 for y. 5 Solve -3*q + q = -14 for q. 7 Solve 0 = 175*g - 123*g + 52 for g. -1 Solve -498*p + 502*p = -8 for p. -2 Solve -7 + 20 = -13*s for s. -1 Solve -37*d - 35 = 39 for d. -2 Solve 2*o = 62*o - 360 for o. 6 Solve -s - 438 = -433 for s. -5 Solve 209*j = 207*j + 10 for j. 5 Solve 6*b + 581 - 533 = 0 for b. -8 Solve 144*f - 6 = 141*f for f. 2 Solve -4 = 7*i + 3 for i. -1 Solve 27*q - 8 = 23*q for q. 2 Solve -26*d - 40 = -170 for d. 5 Solve 10*z + 6*z = 0 for z. 0 Solve -12*f = -44 + 8 for f. 3 Solve 2*k - 18 = -10 for k. 4 Solve -42*q - 710 + 878 = 0 for q. 4 Solve -t + 145 - 141 = 0 for t. 4 Solve -1485 = -6*k - 1533 for k. -8 Solve 0 = g - 2 + 2 for g. 0 Solve -428*n + 413*n + 120 = 0 for n. 8 Solve 3*k = 48 - 45 for k. 1 Solve -3*n = -29*n + 156 for n. 6 Solve 2*t - 16*t - 14 = 0 for t. -1 Solve 3*k + 12 = -0*k for k. -4 Solve 0 = 17*m - 73 - 12 for m. 5 Solve 60*g = 235 + 125 for g. 6 Solve 8 - 5 = -x for x. -3 Solve -117 = -3*b - 99 for b. 6 Solve 3*n + 16 - 4 = 0 for n. -4 Solve -36*b = -39*b + 21 for b. 7 Solve -7*t + 5 + 2 = 0 for t. 1 Solve m + 8 = 5*m for m. 2 Solve 45 = 13*l - 22*l for l. -5 Solve -135*g + 20 = -125*g for g. 2 Solve -6 = 4*d - 2*d for d. -3 Solve 6*x = 14*x + 16 for x. -2 Solve 10*l - 5*l = 0 for l. 0 Solve 3*b - 2 = -11 for b. -3 Solve 11*q - 90 = -7*q for q. 5 Solve -100*h + 119*h - 133 = 0 for h. 7 Solve 1826*g = 1817*g - 54 for g. -6 Solve -41*k + 15*k = -156 for k. 6 Solve 33*d - 135 = -12*d for d. 3 Solve -86 + 149 = 7*s for s. 9 Solve 0 = 16*x - 22 - 10 for x. 2 Solve 0 = o + 16 - 11 for o. -5 Solve -9*m + 4*m = 30 for m. -6 Solve -392 = -4*u - 52*u for u. 7 Solve 6*m = 94 - 70 for m. 4 Solve 129 - 59 = -10*c for c. -7 Solve -10 = 6*l + 4*l for l. -1 Solve 0 = 3*a - 6*a - 3 for a. -1 Solve 6*i = -91 + 85 for i. -1 Solve -k - 9 = -10*k for k. 1 Solve -94*z = -32*z + 496 for z. -8 Solve 16*k + 38*k + 54 = 0 for k. -1 Solve 0 = -7*g - 17 + 24 for g. 1 Solve -54*u - 38 = -35*u for u. -2 Solve 0 = -4*w - 8 - 12 for w. -5 Solve 4*z + 21 - 13 = 0 for z. -2 Solve -21*w = -258 + 174 for w. 4 Solve -5 - 3 = -4*m for m. 2 Solve 3 = -2*t - 7 for t. -5 Solve h = 6*h + 6*h for h. 0 Solve 0 = -5*f + 15 + 15 for f. 6 Solve -18 = 3*z - 6 for z. -4 Solve 2*y - 118 + 124 = 0 for y. -3 Solve -35*j + 12 = -29*j for j. 2 Solve 1149*v = 1135*v + 70 for v. 5 Solve 9*j + 55 = 64 for j. 1 Solve -16*j + j - 15 = 0 for j. -1 Solve 69 - 139 = 10*q for q. -7 Solve -108*t + 104*t - 20 = 0 for t. -5 Solve 6*n + 56 = 20*n for n. 4 Solve 36*a = 53*a - 68 for a. 4 Solve 0 = -4*o - 6 - 10 for o. -4 Solve -2*c + 24*c = -22 for c. -1 Solve 0 = -10*u + 7 - 27 for u. -2 Solve 5*f - 6 + 16 = 0 for f. -2 Solve 1103 - 793 = 31*j for j. 10 Solve -83 - 229 = -78*k for k. 4 Solve 21*f = 16*f + 10 for f. 2 Solve 0 = -20*g + 12*g + 16 for g. 2 Solve -3*c + 341 = 332 for c. 3 Solve -130*k = -146*k - 16 for k. -1 Solve 18*l = 11*l + 14 for l. 2 Solve 9*b = 8*b - 6 for b. -6 Solve 5*q + 70 = 55 for q. -3 Solve 0 = -2*v + 7 - 3 for v. 2 Solve -12 = -9*f - 57 for f. -5 Solve -2*w = 60*w + 62 for w. -1 Solve 0 = -4*g + 140 - 152 for g. -3 Solve 14*f + 474 = 530 for f. 4 Solve -1248 + 1268 = 5*t for t. 4 Solve -20*m = -29*m + 9 for m. 1 Solve 0 = 3*s + 25 - 4 for s. -7 Solve -19*w = -172 + 39 for w. 7 Solve 0 = -9*g + 24 + 12 for g. 4 Solve -32*v + 223 = 575 for v. -11 Solve 31*k - 2 = 30*k for k. 2 Solve 72*d - 60*d + 48 = 0 for d. -4 Solve 4*i + 19 = 15 for i. -1 Solve 6*a - 10 = 4*a for a. 5 Solve -8*m = 12*m - 100 for m. 5 Solve 20*y - 5 = 25*y for y. -1 Solve -2*w = -w + 5*w for w. 0 Solve -7*a = 9 + 5 for a. -2 Solve -6*h - 21*h = -135 for h. 5 Solve -117*r + 116*r = -1 for r. 1 Solve -63*b - 50*b + 452 = 0 for b. 4 Solve 10 = -8*d + 26 for d. 2 Solve 2*c - c + 3 = 0 for c. -3 Solve 168*i = 241 + 431 for i. 4 Solve -206 = 10*x - 146 for x. -6 Solve -61*v = -4*v - 456 for v. 8 Solve 46*p - 53*p - 21 = 0 for p. -3 Solve -4*n = -5 + 33 for n. -7 Solve -220 = -29*h - 17 for h. 7 Solve 0 = h + h for h. 0 Solve 9*l - 142 = -214 for l. -8 Solve -10*j - 42 = 11*j for j. -2 Solve -44 + 65 = 3*x for x. 7 Solve -5*m = -41*m - 288 for m. -8 Solve 0 = 5*b - 0*b + 15 for b. -3 Solve -6*t = 38 + 10 for t. -8 Solve 0 = 13*u + 19*u - 96 for u. 3 Solve 18*i + 12 = 24*i for i. 2 Solve 2*b + 88*b - 360 = 0 for b. 4 Solve -3 = b - 5 for b. 2 Solve 6*h = -4*h - 90 for h. -9 Solve 49*b + 78 = 127*b for b. 1 Solve 144 = 10*x + 204 for x. -6 Solve -5*o + 3*o - 10 = 0 for o. -5 Solve 0 = -p - 70 + 62 for p. -8 Solve -2*p - 12 = -0 for p. -6 Solve -126*l = -125*l - 4 for l. 4 Solve -6*a = 3*a - 27 for a. 3 Solve 69*z + 134 = -73 for z. -3 Solve 9*j - 74 = -2 for j. 8 Solve 25*x = -543 + 368 for x. -7 Solve -7*s + 0*s = -4*s for s. 0 Solve -10*b + 16*b = 30 for b. 5 Solve 5*u - 19 = 6 for u. 5 Solve -13 - 15 = -7*l for l. 4 Solve -12*h + 3 = -9 for h. 1 Solve 270 = -10*m + 210 for m. -6 Solve -319*n = -306*n - 13 for n. 1 Solve -137*v - 90 = -127*v for v. -9 Solve 7 = -2*
{ "pile_set_name": "DM Mathematics" }
. Suppose -9 = 3*d, 4*t - d - 5 = 2*d. Put -5, t, r in ascending order. -5, t, r Let q = 8 - 7.5. Let t = q + -0.1. Let i = 2 - 3. Put t, i, -0.5 in decreasing order. t, -0.5, i Let b(k) be the third derivative of k**6/120 - k**5/60 - k**4/24 - 2*k**3/3 + 4*k**2. Let z be b(0). Sort 1, z, 0 in decreasing order. 1, 0, z Let u(r) = -r**2 - 9*r + 4. Let x be u(-9). Put -2, -3, -1, x in increasing order. -3, -2, -1, x Let q(d) = -d**3 - d**2 - 5. Let n be q(0). Let c(j) = -j**2 - 6*j - 1. Let w be c(n). Put -4, 2, w in descending order. w, 2, -4 Suppose 16 + 34 = -5*l - y, -2*y = -4*l - 26. Sort l, -2, 2 in descending order. 2, -2, l Let j = 23 - 39. Let n be (-16)/(-40) - j/10. Suppose 3*v + 13 = -n. Sort 1, 2, v. v, 1, 2 Let z be (-8 - (5 - 4))*(-1)/3. Put 1/4, 2, z, -8 in decreasing order. z, 2, 1/4, -8 Let c(f) = -f**3 - 3*f**2 - f. Let i be c(-3). Suppose -o = -4*g - 3, -i + 4 = -o. Let h = 75/104 + 3/104. Sort h, g, 5 in ascending order. g, h, 5 Let z be 1 - (0 + 0 + -1). Put 0, z, -2, -22 in decreasing order. z, 0, -2, -22 Let n = -78 + 76. Sort -8, 0.5, n in increasing order. -8, n, 0.5 Let x be (-6 - -7)/(3/15). Sort x, -5, -3 in descending order. x, -3, -5 Let y = -0.3 + 0.1. Let f = 13.24 - 13. Let c = f + 0.16. Sort y, -4, c in decreasing order. c, y, -4 Let w = -31 + 32. Put -0.4, 4, -5, w in decreasing order. 4, w, -0.4, -5 Let t(y) = 2*y**2 - 16*y + 21. Let j be t(6). Suppose -q + 3 = -1, -5*w - 12 = -3*q. Sort w, j, 3. j, w, 3 Let t = -6 - -5. Let v = 0.05 + -0.12. Let o = v + 3.07. Put 0, o, t in increasing order. t, 0, o Let z = 0.24 - -0.16. Let g = 0 + -2. Sort z, 0.1, g in descending order. z, 0.1, g Let i(p) = 2*p**2 + p + 1. Let n be i(-1). Put 3, -5, n, 6 in increasing order. -5, n, 3, 6 Let l = 2 - 2. Suppose l*m - m - 1 = 0. Sort 2, m, 4. m, 2, 4 Let g = 10 - 1. Suppose -p - 12 = -3*i - 4*p, g = 3*p. Let o = -3 - 1. Sort o, -5, i. -5, o, i Let v(k) = -k**3 + 3*k**2 + 3. Let z be v(3). Sort z, -0.1, 0, -2/5 in increasing order. -2/5, -0.1, 0, z Let a = -5.12 - -0.12. Sort a, 0, -18. -18, a, 0 Let p be ((-9)/(-6)*-2)/(-7). Sort 0.2, p, -1/5 in decreasing order. p, 0.2, -1/5 Let f = 1 + -1. Suppose -4*g + 4 = -4. Sort -2, f, g in increasing order. -2, f, g Let r = -215/6 - -36. Sort 5, 10, r. r, 5, 10 Let d be (6 - 2)*(-1)/(-10). Let y = -11/15 + d. Put -5, -0.4, y in descending order. y, -0.4, -5 Let s(q) = q**2 + 10*q + 8. Let v be s(-8). Let a = -6 - v. Suppose m = 5*x - 0*m + 5, -x - 4*m = 22. Put a, 0, x in descending order. a, 0, x Suppose 0 = 14*c - 13*c + 1. Let p = -10 + 6. Sort -7, p, c. -7, p, c Let z = -0.2 - -0.2. Let t = 26 + -29. Sort z, -4, t in ascending order. -4, t, z Let z = -259 + 256. Let w be -1*(0 - 3*5). Let b = 10 - w. Put z, 1, b in increasing order. b, z, 1 Suppose 3*a = 6*a - 9. Let p be ((-6)/9)/(2/3). Let b be -5*-3*2/(-15). Sort p, a, b. b, p, a Let r = -20 + 17. Let v be -1 + (-3)/r - 3. Sort v, -1, -5 in descending order. -1, v, -5 Let l(t) = t**3 + 14*t**2 - 16*t - 10. Let f be l(-15). Put -2, f, 3 in ascending order. -2, 3, f Let a = -3.6 - -1.6. Put a, -2/9, 0 in descending order. 0, -2/9, a Let t = -16.1 - -16. Put 0.5, t, 5 in increasing order. t, 0.5, 5 Let a = -3.1 + 3. Let x(t) = t**3 + 4*t**2 - 7*t - 6. Let p be x(-5). Let c be ((-4)/(-6))/(2 + 0). Sort c, p, a. a, c, p Let j = 17 - 12. Suppose -b = 3*b + 12. Let a be (-2)/2 + (-2)/2. Sort j, b, a in increasing order. b, a, j Let x = -0.1 + 0.3. Let y = -159 - -165. Put x, -3/4, y in increasing order. -3/4, x, y Let w = 11 - 15. Let f(t) = t**3 + 4*t**2 + 2*t + 4. Let y be f(w). Put 3, y, -2 in increasing order. y, -2, 3 Let u = 13 - 13.3. Let q be ((-3)/(-5))/((-3)/(-15)). Let l = q + -1. Put -1, l, u in descending order. l, u, -1 Let y = -10 - -13. Let w be -5 + 7 + 0/1. Suppose -g - 1 = 4*z, -z + 10 = -2*z + 3*g. Sort w, z, y. z, w, y Let p be 0 - (2 - 2)/2. Let y = -12 - -11. Put y, 2, p in descending order. 2, p, y Let x = 3 - 4. Let t = 4 + x. Put t, -5, 0 in ascending order. -5, 0, t Let g = -13.1 + 13.4. Sort -13, 3/2, g, -0.4. -13, -0.4, g, 3/2 Let i = -19 + 17. Let o = 0.11 + 0.09. Put 5, o, i in descending order. 5, o, i Let x = 0.2 - 4.2. Let m = -8 - x. Sort -0.1, -1, m. m, -1, -0.1 Let y = -1 - -3. Let l = -2.2 + y. Let f = -0.142 - -3.142. Sort l, -5, f. -5, l, f Let k(s) = -5*s**2 + 2*s - 2. Let t be k(1). Sort t, 1, 5 in decreasing order. 5, 1, t Let n = 5.061 - 0.061. Put -5, -3, n, -0.1 in decreasing order. n, -0.1, -3, -5 Let v(n) = -2*n**3 - 2*n**2 + 1. Let l be v(-1). Put 3, 4, l, 2 in ascending order. l, 2, 3, 4 Let h be 5 + -6 + -3 + 94/23. Let g = -12 + 17. Put 3/2, h, g in decreasing order. g, 3/2, h Suppose -d + 4*d + 3 = 0. Let r(l) = -l**2 + 6*l - 7. Let m be r(4). Put m, -3, d in increasing order. -3, d, m Suppose 0 = 4*x + 3*d - 16 - 3, -3*d = -5*x - 10. Let i be (2 - (0 + -3))*x. Put 4, -5, i in ascending order. -5, 4, i Let d(s) = -2*s**3 - 2*s**2 + 2*s - 1. Let o be d(1). Suppose -3*i + 7*v = 4*v + 18, -i = 2*v. Sort i, -2, o in decreasing order. -2, o, i Let p = 27 - 28. Sort -3, 2, p in descending order. 2, p, -3 Suppose m + 3*m = 5*z + 6, 0 = m + 3*z + 7. Suppose -3*w + 5*b - 5 = 0, -7*w + 2*b = -3*w + 16. Put m, 1, w in descending order. 1, m, w Let i = -3 - -3. Let m = -39 + 34. Put -0.4, i, m in decreasing order. i, -0.4, m Let v be 1*1/(-2)*0. Suppose 0 = -4*o + 7 + 1. Suppose r = -o + 6. Sort v, r, 3. v, 3, r Let o = -36 + 35.5. Sort o, 0.2, 4 in descending order. 4, 0.2, o Let a = 164/3 - 56. Let y be (18/15)/((-1)/5). Let n = y + 2. Sort a, n, -0.3 in increasing order. n, a, -0.3 Let l be (-4)/10 - 0 - 182/(-280). Sort -8, -4/7, l, -0.4. -8, -4/7, -0.4, l Let p = 10/3 + -11/3. Let n be (-14)/(-4)*4/7. Suppose -3*y - 5 = 4*b + n*y, -5*y = 5*b. Sort b, -1/2, p. -1/2, p, b Let z be -5 + 4/(3 + -1). Let w be (-2)/(z/5 + 1). Let t(o) = o - 6. Let q be t(3). Sort w, q, 0.1 in ascending order. w, q, 0.1 Let b = 0.1 - 0. Let z = -0.14 + 1.14. Sort b, z, -1/3 in ascending order. -1/3, b, z Let c = 6.07 + -0.07. Let d = 5.9 - c. Let i = -1.2 - -6.2. Sort d, 0.3, i in increasing order. d, 0.3, i Let v = 0 - -5. Sort -1, -5, v in ascending order. -5, -1, v Suppose t - 5*t = 8. Put 3, 0, t in decreasing order. 3, 0, t Let k = 438/5 + -88. Put -0.1, 2/9, k, 0.5 in descending order. 0.5, 2/9, -0.1, k Let p(u) = -u**2 + 6*u - 6. Let h be 3 + (3 - -1 - 3). Let b be p(h). Let y(k) = k**3 + 5*k**2 - 7*k - 7. Let v be y(-6). Sort v, b, -5. -5, v, b Let l = 87 + -92. Sort 1/2, l, -1/2, 4 in increasing order. l, -1/2, 1/2, 4 Suppose 4 = 6*t + 58. Sort -1, -2, t, -4 in decreasing order. -1, -2, -4, t Let o(y) = y - 3. Let g be o(7). Let r be (g - (6 + -3)) + 1. Sort 3, r, 5 in descending order. 5, 3, r Suppose 0 = 3*z - 4*q - 29, z + 5*q + 22 = -0*z. Put -2, 4, -5, z in ascending order. -5, -2, z, 4 Let v = -0.29 - 0.01. Let d = v - 0. Sort d, -0.5, -3. -3, -0.5, d Suppose -3*q = -5*l - 40, 0 = -l - 4 - 1. Let g = -67 - -64. Sort g, 4, q in decreasing order. q, 4, g Let a = -1481/7 - -212. Sort a, 0.4, -1 in descending order. a, 0.4, -1 Let k be 10/4 + 4/8. Suppose -2*y + 6 = -8. Let f be (2/2)/(y/14). Sort k, f, 5 in increasing order. f, k, 5 Let y be (30/9)/(1 - (-2)/(-6)). Sort y, -3, 2, 7 in ascending order. -3, 2, y, 7 Let v = 4 + -8. Suppose -36*j + 30*j + 18 = 0. Put 5, v, j in ascending order. v, j, 5 Let z be (4/3)/(4/12). Let c = -23 - -18. Put -4, z, c in decreasing order. z, -4, c Let w be -1*3*8/(-6). Let d = 53 + -55. Sort w, -4, d in descending order. w, d, -4 Suppose 0 = 5*u + 3*v - 2 + 7, 2*u - 2*v = -2. Put -7, -5, u, -4 in descending order. u, -4, -5, -7 Suppose u = -2*g + 5*g + 1, -u + g - 3 = 0. Let x(p) = p**3 - 4*p**2 + 3*p - 2. Let j be x(3). Let v be (-1 + 2)*(-3)/(-1). Sort j, v, u in increasing order. u, j, v Let b be -1*(-1 + 0 + -2). Suppose 0 = b*h - h - 6. Suppose -2*u - u = 4*o - 12, -o = -h. Sort u, -5, 4. -5, u, 4 Let w = -1 - -1.9. Let t = w - 0.3. Let i = t - 1. Sort 4, -1/2, i. -1/2, i, 4 Let v be 2/1 + 60/(-27). Suppose t + t = g - 1, -t + 7 = -2*g. Let y be (1/(-3))/(1/g). Put v, -0.2, y in descending order. y, -0.2, v Let p = -15 - -14. Let z be (((-5)/1)/(-1))/(-1). Put p, z, 4 in descending order. 4, p, z Let s = -1.5 - -2. Let f(p) = -p**3 - 2*p**2 + 2*p. Let a be
{ "pile_set_name": "DM Mathematics" }
y. Let k(a) = -2*a + 4. Let w be k(z). Let p(f) = -10*f + 27. Is 12 a factor of p(w)? False Let s(l) = l + 26. Let o(a) be the third derivative of a**4/3 + a**3/2 - 15*a**2. Let h be o(-1). Does 4 divide s(h)? False Suppose 23*a - 48832 = -35*a - 6*a. Does 2 divide a? False Let f(h) = 7*h + 270. Let m be f(-38). Suppose 3*t - 4*o - 1561 = 0, 0 = 2*t + 9*o - m*o - 1010. Is 40 a factor of t? False Suppose 0 = -34*j + 4816 + 13476. Is j a multiple of 3? False Does 39 divide (2 + 271925/45)*1 + (-26)/(-117)? True Let h = -106 - -115. Is -3 - 970/(-7) - h/(-21) a multiple of 17? True Let a = -648 - -1543. Let j = -555 + a. Is 20 a factor of j? True Let i(f) = 4*f**2 + 139*f + 2018. Is 35 a factor of i(-57)? False Let i(b) = -312*b - 9. Let z(u) = -156*u - 4. Let n(q) = -3*i(q) + 5*z(q). Is n(1) a multiple of 11? False Suppose 27390 = -19*z - 33790. Is (18/(-10))/(14/z) a multiple of 9? True Let b(i) be the first derivative of -i**2/2 - 5*i - 22. Let v be b(-5). Suppose 2*d - r = 26, 5*d - 4*r = -v*d + 65. Does 13 divide d? True Let l(d) = -68*d + 5389. Is l(5) a multiple of 34? False Let r(a) = a**2 - 28*a + 640. Does 6 divide r(0)? False Suppose 20*k = 2*k + 360. Suppose k - 130 = 5*z. Does 11 divide ((-15)/(-2))/((-3)/z)? True Suppose -279*v = -3245500 - 10575044. Is 344 a factor of v? True Suppose 0 = -2*b + 383 + 705. Let z = b + -355. Is z a multiple of 27? True Let b be 3 - 0 - 0 - 4. Let c be ((-4 - -2)*1)/b. Is 34 a factor of -2 + (c - 19)*-4? False Let t be 4/18 - 94/18. Let z(m) = 4*m**2 + 15*m - 10. Is 2 a factor of z(t)? False Let m = -13355 + 19228. Does 111 divide m? False Suppose 0 = -n - 0*n, 3*i = n + 384. Suppose 4*m = -0*m + 64. Let x = i + m. Is 24 a factor of x? True Suppose 68157 - 99204 = -26*c + 83145. Does 8 divide c? True Does 20 divide 6/(9/(-3))*((-170793)/42 + -23)? False Let j(p) be the third derivative of -p**5/60 - 3*p**4/4 - 5*p**3/2 - 19*p**2. Let l be j(-17). Suppose -5*d + 947 = 2*v, 0*v + l*v + 187 = d. Does 16 divide d? False Let j(q) = 339*q**2 + 28*q + 32. Does 36 divide j(-5)? False Suppose -78*w - 75431 + 742504 = 71*w. Is 12 a factor of w? False Let u(l) = -229*l + 1. Let w(t) = t + 1. Let g(i) = 2*u(i) + 6*w(i). Is g(-2) a multiple of 12? True Let g(y) = -y**2 + 27*y - 19. Let d be g(27). Let q = -17 - d. Let m(j) = 27*j**2 + j - 6. Is 13 a factor of m(q)? True Suppose -2*d - m + 2*m = -15, d - 2*m - 15 = 0. Suppose -s + 6*r - d*r = -12, -5*s + 2*r = -51. Does 24 divide ((-360)/(-25))/(s/30)? True Let m(t) = -5*t + 34. Let j be m(6). Suppose 4*v = -5*y + 3*y + 248, -248 = -j*v - 3*y. Is v a multiple of 8? False Suppose -8*z - 59385 = -10*z + 9*k, -89005 = -3*z - k. Is z a multiple of 19? False Let w be 9 + -11 - (-3 + -2). Suppose -5*k = 15, -w*r = 5*k - 391 - 512. Does 17 divide r? True Suppose y - 11995 = -19*y + 21645. Is y a multiple of 4? False Let g(c) = 48*c - 48. Let b be g(1). Suppose b = -38*h - 2622 + 55062. Is 30 a factor of h? True Is (-468)/(-24)*(-2 - ((-12)/4 + -1369)) a multiple of 195? True Suppose 0 = 28*z - 33*z. Suppose z = 25*n - 2199 - 1001. Does 7 divide n? False Suppose 5*c - 47 = -4*t + 119, c = 2*t - 90. Let z = -39 + t. Suppose 3*l - 4*l + 96 = -4*i, -2*l = -z*i - 183. Is l a multiple of 14? True Is 2 a factor of ((-677)/(-77) - (-256)/(-704))*7? False Suppose -57*m - 87*m = 68*m - 5738416. Does 32 divide m? False Suppose 32*z + 10555 - 46964 = 70215. Is z a multiple of 68? True Suppose 0*v - 426 = -h - 3*v, 4*h - v - 1717 = 0. Suppose 2*f - 3*k - h = 0, 2*k = -5*f + 749 + 276. Is f a multiple of 9? True Suppose -5*z + 4*a = 5*a - 26, 4*z + a = 21. Does 5 divide (2/(-6))/(z - 22284/4455)? True Suppose 141 + 99 = 30*t. Suppose t - 332 = -4*x. Does 10 divide x? False Is (-213 + 3 + -6)*15/(495/(-583)) a multiple of 159? True Let f(z) = 1055*z - 1663. Does 6 divide f(13)? False Let t be -2 + 1 + 3 - (6 + -8). Suppose -5*b = -t*c - 7*b + 1136, -3*b = 4*c - 1132. Is 26 a factor of c? True Suppose -52 = -2*n - 2*x - 8, -6 = -3*x. Let o(h) = h**2 - 20*h. Let y be o(n). Suppose -t + 71 = -g, y = 4*t - 3*g - 113 - 170. Is t a multiple of 10? True Let w be 0/(-3) - (0 + -1 + 1). Suppose w = -5*z + 8 + 17. Suppose -4*i = 3*v - 417, 5*v = z*i - 413 - 117. Is i a multiple of 21? True Let v = -12421 + 12932. Is 2 a factor of v? False Let f be -149 + 1 + (-4)/5*-5. Let r = f - -226. Let y = r - -34. Does 19 divide y? False Let d = 3372 - 3093. Is 10 a factor of d? False Let d be (4 + 70/(-15))*-6. Let a(u) = u**2 - 2*u - 4. Let z be a(d). Suppose 58 + 22 = z*x. Is 10 a factor of x? True Suppose 259*f - 7025280 = 8048722 + 1508473. Is f a multiple of 13? True Suppose 5628 = -9*w - 3*w. Let c = w + 1445. Does 61 divide c? True Let r = -3639 - -12779. Is 20 a factor of r? True Let g(u) = 3*u**2 - 4*u - 626. Is g(-22) a multiple of 20? False Let g = 134 - 129. Let n(u) = 4*u + 58. Does 5 divide n(g)? False Suppose -5*m - t - 2 = t, -5*t + 12 = 4*m. Is (m/2)/(19/(-209)) a multiple of 11? True Suppose -w = 5*y - 2360, y = -440*w + 438*w + 4684. Is 6 a factor of w? True Let y = -132 + 137. Suppose y*o + 1 = 16. Let c(w) = 15*w - 22. Is c(o) a multiple of 4? False Let t be ((-230)/50)/((-1)/5). Suppose 13*w - t*w = -570. Is w a multiple of 19? True Let v = 223 + -327. Let k = 165 + v. Let y = k - -59. Is 30 a factor of y? True Let w(y) = 6*y**2 + 107*y - 282. Is w(-21) a multiple of 4? False Suppose 10 = -y - 3*f, 4*y - 2*f + 6*f = 0. Let z = 965 + -820. Suppose -5*c + 31 + 24 = v, c = y*v - z. Is v a multiple of 24? False Let u = 38 + -34. Suppose a + 109 = -2*n - 3, 0 = -4*n + u*a - 236. Let k = 79 - n. Does 42 divide k? False Let m(v) = 5*v - 10. Let n be 16/(-6)*42/(-4). Suppose -2*f = 5*f - n. Does 5 divide m(f)? True Is 9 a factor of -628*(-5300)/(-560)*7*2/(-10)? False Let s be 6/9 + 158/(-3). Let r = -48 - s. Suppose -3*d + 2*j = -31, -2*j + 0*j + 18 = r*d. Is d a multiple of 7? True Let a = 9210 + 382. Is 26 a factor of a? False Suppose 0 = 4*w - 5*l + 10*l - 13708, w - 5*l = 3452. Is 12 a factor of w? True Let v(o) be the first derivative of 19*o**2/2 + 110*o - 19. Is v(34) a multiple of 28? True Let h = 9778 - -13276. Is h a multiple of 186? False Let l(k) = -k**2 - 6*k. Let v be l(-6). Let h(a) = a**2 + 5*a + 296. Is h(v) a multiple of 37? True Is -2*((-301)/20 - -15) + 27679/10 a multiple of 9? False Suppose 15*o - 50*o + 729653 = 70813. Is o a multiple of 181? True Let g(j) = 338*j**2 + 16*j + 150. Does 70 divide g(5)? True Let f = 11918 + 18. Is 18 a factor of f? False Suppose 219*d - 293*d = -188996. Is 11 a factor of d? False Let o be 170/(-7) + 6/21. Let g be (60/o)/(2/(-236)). Suppose k = t - g, -5*t + 3*t = 5*k - 590. Is t a multiple of 33? False Suppose 0 = 4*l + 4*k + 10786 - 49942, 5*k = -4*l + 39154. Is l a multiple of 30? False Let s(r) = 0*r - 376*r**2 - 2*r + 48*r**3 + 377*r**2. Let l = -13 - -14. Is 47 a factor of s(l)? True Let i(n) = 127*n**3 + 3*n**2 - 74*n + 294. Does 23 divide i(4)? False Let t = -1372 - -1889. Is t even? False Suppose 775*q = 780*q + y - 184827, -2*q + 73966 = -4*y. Is q a multiple of 15? False Suppose 904*i = -905*i + 1811*i - 4908. Is i a multiple of 3? True Let l be ((-49)/70 + (-1)/(-5))*18. Let w(j) = -55*j - 24. Is 13 a factor of w(l)? False Let r be ((-31)/(-1))/(12/120). Let u = 692 - r. Is u a multiple of 14? False Let g = -2675 - -16383. Is g a multiple of 12? False Let k(r) = 748*r**2 - 46*r + 170. Is k(4) a multiple of 86? True Let f(n) = 83*n + 7. Let j be f(-4). Suppose 5*s + 5*y - 2735 = 0, -4086 = -5*s - 3*y - 1343. Let p = j + s. Does 13 divide p? False Suppose -19*f = -2*m - 14*f - 477, 708 = -3*m + 5*f. Let z = 273 + m. Is z a multiple of 4? False Let g(x) = -31*x + 1. Let n be g(1). Is (-1026)/(-15)*n/(-12) a multiple of 51? False Suppose 0 = -4*k + 3*g + 60579 - 5865, 0 = -4*k - 5*g + 54666. Is 23 a factor of k? False Suppose 30*u - 5*r = 25*u + 490, 0 = -r + 2. Does 4 divide u? True Let d(u) = 16*u - 97. Let a be d(6). Is a*(-1 - -3) + 69 a multiple of 41? False Let f(r) = r**3 + 13*r**2 - 19*r + 2. Suppose 0*g = -5*y + 5*g, -4*y = 4*g - 32. Suppose -98 = -y*w + 11*w. Does 8 divide f(w)? True Let a = -1161 + 7067. Is 84 a factor of a? False Suppose -18892 = -4*q + 4*r, -15649 = -4*q - 5*r + 3261. Is 148 a factor of q? False
{ "pile_set_name": "DM Mathematics" }
v**2 - 13*v + 16. Let l be h(-14). Suppose 3*r = 4*d + 28, 0 = -2*r + l*d - 4*d. Solve r*y = y - 6 for y. -2 Let x be 1/(-4) + 11/((-88)/(-50)). Solve x - 8 = -j for j. 2 Suppose z - 6 = 3*z. Let p(f) be the third derivative of f**4/24 + f**3 + 501*f**2. Let i be p(z). Solve -2*q = q - i for q. 1 Suppose 0 = n - 6 - 0. Let m(i) = -9 - n*i**2 - i**3 + 3*i - 8*i - i + 10. Let t be m(-5). Solve s = -t + 2 for s. -4 Suppose -2*k = 4*z - 66, 2*k - 1 = 1. Let b = 71 - 68. Solve -w - b*w = z for w. -4 Suppose 0 = -251*j + 275*j - 456. Solve -j*k - 5 = -20*k for k. 5 Let w(z) = -16*z - 6. Let x be w(-3). Suppose x = -6*d + 4*d. Let j be (-435)/d - 2/(-7). Solve -j + 1 = -5*i for i. 4 Suppose -2*l = l + 75. Let a(m) = -3*m**2 - 14*m - 3. Let z be a(-6). Let w = l - z. Solve -s = w*s + 15 for s. -5 Let x be 1 + -3*(-2)/2. Let b be ((-258)/(-774))/((-2)/(-24)). Solve -x*n + 3*n = -b for n. 4 Let v(q) = 2*q - 10. Suppose 21 + 24 = 5*s. Let k be v(s). Solve 0*r = 4*r - k for r. 2 Suppose y + 35*y - 226 = 62. Suppose -3*u - 2*w = 1 - 4, 0 = 4*u + 5*w + 3. Solve -y = -u*t - 2 for t. 2 Let l be (0 - 4/(-7))*7. Suppose r + 1 = -5*n, 3*r - l*r - 3*n = -3. Let m = -18 - -19. Solve 2*s - r = m for s. 5 Suppose 2 = -r - 3. Let n be 2 + r + (-99)/(-3). Suppose 6*h - n = h. Solve -d - h = -4 for d. -2 Let i(h) = h**3 - 1. Let g be i(0). Let p(k) = -4*k**3 - k**2 - 2*k - 2. Let l be p(g). Solve 0 = l*x - 5*x + 4 for x. 2 Suppose 92 = 14*c - 48. Solve c - 16 = -3*t for t. 2 Let l(f) = f**2 + 5*f + 8. Let a be l(-4). Suppose u = -4*z + 37, -4*z + a + 12 = 0. Solve 0 = 3*w - 6 + u for w. -5 Let h(n) be the first derivative of -n**4/4 + n**2/2 - 2. Let v be h(1). Let t be (3/6*v)/(-1). Solve -5*q + 4*q = t for q. 0 Let n be (-12)/(-60) + 2/(-10). Suppose 5*j = -n*j - 855. Let w be j/(-38) - (-1)/2. Solve -w*r + 20 = -r for r. 5 Suppose n - y = 4*y + 36, 0 = -2*n + 2*y + 32. Suppose 30 = -p + n*p. Let g(q) = q**2 + 3*q - 4. Let m be g(-4). Solve p*a + 4 + 8 = m for a. -4 Let s = 8 + -6. Let l be (268/(-32) + 8)*-8. Solve s*a = -l - 5 for a. -4 Let n = -2 + 2. Suppose -57*k - 38*k + 140 = -50. Solve n = -w - k for w. -2 Suppose 244 = 4*u - 5*p, -20*p = -2*u - 17*p + 120. Solve 11*h - 22 = -u for h. -4 Suppose 4*i - 16 = -4*p + 16, 16 = p + 5*i. Solve 0 = -8*w + p*w + 8 for w. 4 Let k(b) = -b + 9. Let v be k(9). Suppose -4*p + v*f = 2*f - 6, -15 = -5*p - f. Suppose -4*g - 5 = -g - 4*u, -4*u = -g - 15. Solve p*d - g = 7 for d. 3 Let t = -7 - -26. Suppose -x = -3*u + 6, 2*x + 1 = -4*u + t. Solve 0 = -u*d - 1 + 4 for d. 1 Let m(q) = q**2 - 17*q + 90. Let v be m(9). Solve -v*t = -15*t + 15 for t. -5 Suppose -15 = -3*b - 4*z + 10, -14 = 2*b - 5*z. Let o(h) = -h**3 - 7*h**2 - 6*h + 5. Let p be o(-6). Suppose -p*f - 1 = -6. Solve f - 10 = -b*w for w. 3 Let x(f) be the third derivative of -f**6/120 + f**5/4 + 17*f**4/24 + f**3/3 - 4*f**2. Let b be x(16). Let l be b/16 + 2/(-16). Solve 11 = 3*y - l for y. 4 Let g(r) = 51*r + 4. Let b be g(1). Solve 2*h - 13*h = b for h. -5 Suppose 4*p - 13*z = -15*z + 104, 3*z = 0. Solve 0 = p*k - k + 25 for k. -1 Let h(u) = -7*u - 47. Let k be h(-8). Suppose -k*m + 16 = -56. Solve -2*o = -m - 2 for o. 5 Let z = -29 - -21. Let a = z - -12. Solve 2*l - 3*l = -a for l. 4 Suppose 4*k - 4*d - 276 = 0, 50*d - 215 = -3*k + 45*d. Solve -2*w = -k + 70 for w. 0 Let b be (-4)/(-16) + 126/8. Solve d + b = -3*d for d. -4 Let n(x) = -x**2 + 8*x - 4. Let v be n(7). Let w = -21 - -40. Suppose v*r = -7 + w. Solve 0 = -r*b - 0 - 8 for b. -2 Let m = -223 + 225. Solve -4*y - m = 6 for y. -2 Let u(g) = 5*g**2 + g + 1. Suppose 2*s + 9 = 5*s. Suppose 0*h = -2*h + 2*d - 4, -h + 2*d = s. Let b be u(h). Solve -b*c - 11 = -1 for c. -2 Suppose -4*r - 2*w = -8, -4*r - 3*w = 1 - 9. Suppose 0 = -r*o - 0*o + 4. Let x be o + -1 + 1*-1. Solve 3*t + x = 15 for t. 5 Suppose -6 - 30 = -3*i. Suppose -4*a - 14 - 2 = 0. Let l be (-19)/a + 3/i. Solve 4 + 6 = l*q for q. 2 Suppose 4*g = 3*i + 34, 4*i - g + 44 = 4*g. Let w = i - -9. Suppose w*s = 2*n + 16, 0*n = -2*n + 8. Solve d + d = s for d. 4 Suppose 171 = 7*d - 53. Solve -d - 3 = 7*h for h. -5 Let t = 104 + -99. Suppose t*c - 6 = 14. Solve 0*i = i + c for i. -4 Let l = 3137 - 3134. Solve 9*q - 48 = -l for q. 5 Let h be 45/12 - 1/(-4). Let v = -37 + 19. Let i = v - -18. Solve i = -0*f + h*f + 4 for f. -1 Let n = 1542 + -1542. Solve -5*j - 49 + 69 = n for j. 4 Let p(h) = -8*h - 93. Let l be p(-16). Solve 0 = l*q - 32*q + 6 for q. -2 Let l(b) be the third derivative of -b**4/24 + 17*b**3/6 - 7*b**2. Let j be l(10). Solve 8 = f + j for f. 1 Let x(c) = c - 3. Suppose -z - 33 = -2*z. Suppose -5*l + 5*p = 8 - z, 20 = 4*l - 3*p. Let d be x(l). Solve -d = -3*k + 2*k for k. 2 Let v = 2589 + -2584. Solve 3*d = 8*d + v*d for d. 0 Let d = 91 + -67. Suppose -7*v + d = -3*v. Solve 3 = 3*y - v*y for y. -1 Let r = -46 - -61. Let h = r + -10. Solve -4*z = -3*z + h for z. -5 Suppose -4*n = 2*c + 2*c - 8, -5*n - 4*c = -6. Let t be 0*(-1)/2 - n. Suppose -k = -5*v + 2*k + 78, 0 = 7*v - k - 106. Solve 0 = -t*l - l - v for l. -5 Let p be ((-1 + 0)/(8/16))/(-2). Let u be (2 - 1)*0/(-2). Solve -k + 2*k - p = u for k. 1 Let y be (1*2)/((-2)/(-3)). Suppose -4*p - p = -15. Suppose -3*c = -4*g - 9, c = 3*g - 3*c + 12. Solve -p*a = -y - g for a. 1 Let n(k) = k**3 + 6*k**2 + 7*k - 4. Let z be n(-3). Suppose 2*g - 20 = -z*d, 4*d = -3*g + g + 10. Solve 2*l - 7*l = g for l. -3 Let j = -1221 + 1259. Solve -37 = u - j for u. 1 Let j(m) = -4*m + 18. Let x be j(5). Let s be 10 + x/3*3. Solve 0 = -5*z + s - 3 for z. 1 Let h(j) = j**3 + 4*j**2 + 2*j - 2. Let y be h(-2). Suppose 5*r + y*d - 12 = 0, 4*d - 8 = -4*r + 2*d. Solve 0 = -4*b + r for b. 1 Let h(a) = 27*a**2 - 3*a - 5. Let q be h(-1). Solve 0*g = -5*g + q for g. 5 Suppose 684 = 81*m - 531. Solve -9*l = -m + 51 for l. -4 Let h = -9 + 9. Let n(v) = -3*v - 37. Let j be n(-14). Solve j*c + 13 - 38 = h for c. 5 Let d(r) = -3*r - 15. Let a be d(-7). Suppose -q = -a*q + 20. Solve -9 = q*o - o for o. -3 Let b(a) = -a**3 - 34*a**2 - 212*a - 8. Let x be b(-8). Solve x*z = -0*z for z. 0 Suppose 2*y + 0*y - 36 = 0. Let r = y - 16. Solve r*m = 4 - 2 for m. 1 Let y(o) = o**2 + 12*o + 23. Let r = -46 - -36. Let g be y(r). Solve -g*l + 2*l = 4 for l. -4 Suppose 0 = -4*j + 21 + 15. Suppose -j*z = -4*z - 15. Solve -2*s = z + 1 for s. -2 Suppose 50 = 7*n + 15. Suppose 4*v + 2*m = 20 - 6, 0 = -n*v - 4*m + 22. Solve v*l + 5 = l for l. -5 Let r = -1326 + 1351. Solve -19*a + r*a = 0 for a. 0 Let i = -393 + 405. Solve -i*m + 20*m = -24 for m. -3 Let k be 2 - (-19)/((-114)/(-90)). Solve 13*i + k*i = 150 for i. 5 Let b(h) = h**2 - 12*h + 45. Let g be b(5). Solve -6*s - 16 + g = 0 for s. -1 Suppose -k - 3*z + 72 = 0, -k = 4*k + 3*z - 420. Solve 73 = -7*j + k for j. 2 Let i(u) = -6*u - 1. Let l be i(-2). Solve h + l = 12 for h. 1 Let v(d) = 3*d - 25. Suppose -7 = -i - 0*i + l, 2*l = 6. Let o be v(i). Solve 0*b + o*b + 15 = 0 for b. -3 Let j(m) = m + 3. Let t be j(3). Let h(s) = s**3 + 5*s**2 - 6*s + 1. Let f be h(-6). Solve t - f = -o for o. -5 Suppose -52*j = -26 - 78. Solve 8*x - 12 = j*x for x. 2 Let f(y) = y + 3. Let h(t) = -t + 21. Let p be h(7). Let s be f(p). Solve 0 = -3*i - 8 + s for i. 3 Suppose -l = -8*l + 14. Solve -l*c = -4 + 4 for c. 0 Let g(h) = 2*h - 43. Let z be g(20). Let k(l) = -l**3 - 4*l**2 - 3*l + 3. Let j be k(z). Solve -4*v = -j*v - 5 for v. 5 Let u = 8 + -5. Suppose 0 = 5*k - 6*k. Solve u*o + k = -3 for o. -1 Let j(h) = h**3 - h**2 + 2*h + 2. Let i be j(-2). Let a = i + 14. Suppose a = -0*y - y. Solve 20 = -y*t - 4*t for t. -5 Suppose 57 = -2*z + 211. Let c = z - 72. Solve -c*u - 21 = 4 for u. -5 Suppose -2*y + y - 59 = 0. Let f = y + 59. Solve z - 1 - 1 = f for z. 2 Let n(s) = 5*s**2 - 45*s + 2. Let g be n(9). Suppose -3*p + 13 - 1 = 0. Solve -g*f + p - 2 = 0 for f. 1 Let p(u) = -2*u + 28. Let i be p(-4). Solve -23*m - 65 = -i*m for m. 5 Suppose 0*f - 3*f = 0. Suppose 3*x + 11 = -2*s - 0*x, 5*x + 33 = 4*s. Suppose -s = 6*a - 20. Solve f = 4*l - 3*l - a for l. 3 Suppose 0 = -22*a + 229 + 101. Solve -a*z + 13*z - 6 = 0 for z. -3 Let q(w) = 5*w**3 + 18*w**2 + 28*w - 10. Let u(t) = 9*t**3 + 35*t**2 + 56*t - 18. Let g(r) = -11*q(r) + 6*u(r). Let f be g(14). Solve -18 = -4*i + f for i. 5 Suppose 43*l - c = 46*l - 211, l -
{ "pile_set_name": "DM Mathematics" }
d. 4 Suppose -4*h - 2*u = -4, 5*h - 13 - 5 = 4*u. Solve 0 = 5*v + w + 3, -5*v + 3*w + h*w = 15 for v. -1 Let g = -8 + 11. Solve -5*y = -2*q + 17, -2*y + g*q + 7 = -y for y. -5 Suppose 4*l - 3*l = 0. Suppose b + 0 - 1 = l. Let v(t) = -t + 10. Let n be v(5). Solve x + b = -2*p, n*p = p - 4*x + 4 for p. -2 Let v(p) = -p - 1. Let t be v(0). Let h = t - -3. Solve -h*l + 4*k + 12 = 2*k, 0 = -4*l + k + 18 for l. 4 Suppose 4*b - 5*x = -0*b + 25, 5*x = b - 25. Solve -2*a = s + s, b = -3*s for a. 0 Let k = -3 + 6. Suppose -k*g = -2*g - 5. Solve 0*w = -g*w + 2*z, 0 = -4*z for w. 0 Suppose 0*g - 44 = 4*g - 4*b, 0 = -4*g - 4*b - 12. Let t = g + 7. Let i(d) = d**2 + d + 5. Let y be i(t). Solve 0 = y*z + 15, 4*z + 8 + 4 = r for r. 0 Let z(q) = q**3 - 4*q**2 - 3*q + 2. Let l be z(5). Suppose -6*v + l = -4*v. Solve -2*s + v = 2*r - 10, s = -3*r + 16 for r. 4 Suppose -4*s + 5 = -w - 23, 0 = s + 4*w - 24. Solve -2*d = 4*y + 3*d - 31, -4*d = -y - s for y. 4 Suppose -22 - 2 = -3*u - 3*o, 0 = -u - 2*o + 13. Let j = -2 + 2. Suppose j = y + u*y - 12. Solve 7 = y*r + x, r = 5*r + 3*x - 6 for r. 3 Let h = -3 + 5. Suppose 0 = -4*v + 4*y - 48, -h*y = 5*v + 3*y + 20. Let m = 13 + v. Solve -6*d = -m*p - 2*d + 12, 2*d + 12 = 4*p for p. 4 Let x(l) = -l**2 + 3*l + 7. Suppose 3*z + 2 = 14. Let o be x(z). Solve 4*h - p + 16 = 0, -3*h - 16 = h - o*p for h. -4 Let a = -111 - -113. Solve -a*r = 3*b - 5*r - 24, 5*b + 3*r = 0 for b. 3 Suppose 3*c - 2*c - 3 = 0. Solve -3*p - x = -c, x = -5*p - 3*x + 5 for p. 1 Let w(x) = 2*x + 21. Let t be w(-7). Solve j = -3*a + 8, -3*j - 2*a + 3 = t for j. -4 Let w(o) = -o**2 - 8*o - 2. Let i be w(-7). Let k = 3 + 0. Solve -i*m + 10 = 0, -m + 4*m = -k*f + 9 for f. 1 Let y = 1 - -2. Let l be 40/(-30)*6/(-4). Solve h - y = -2*v - 11, l*h = -3*v - 13 for h. -2 Suppose 2*d + 1 + 1 = 0. Let r = d + 1. Suppose o + r*o - 3 = 0. Solve 0 = -s - s - 4, o*s + 4 = w for w. -2 Suppose 0 = -4*j - 16, 4*j = -4*m + 3*j + 20. Suppose 14 = 2*d + m. Solve 4*l = 4*a + 2*l + 10, -d*l + 13 = -a for a. -1 Let f be (2/1 - 1) + 1. Suppose -f = -2*l + 3*l. Let u = 2 + l. Solve -r + 4*w - 2 = u, -2*r = -0*w - w + 4 for r. -2 Suppose 4*p + 1 = 9. Solve x = 3*o - 12 + p, 0 = -3*o + 4*x + 4 for o. 4 Let i(x) = -x**3 - 6*x**2 + 7*x + 5. Let a be i(-7). Solve -4*j - 16 = -3*d + a, 2*d = -5*j - 9 for j. -3 Let w = -125 + 128. Solve 5*k - 2 = a, k - 4 = w*a + 2 for a. -2 Let v(o) be the second derivative of -o**5/20 - o**4/6 - o**3/3 + o**2/2 - 2*o. Let b be v(-2). Solve 0 = 4*f + b*k, 2*k = -0*k - 8 for f. 5 Let k(p) = p**3 + p**2 - 8. Let a be k(0). Let z be (-20)/(-2) - 0/1. Let h = z + a. Solve 3*c - 2*t = -0*t + 3, 0 = h*c - 4*t - 10 for c. -1 Suppose 54 = 3*z - 0*z. Let y be 2*2*9/z. Solve 0 = -y*w - r + 6, -r + 8 = 4*w - 6 for w. 4 Let n(r) be the second derivative of 7/6*r**3 - r + 0 + 0*r**2. Let a be n(7). Solve -a = -4*m + 2*j - 19, 3*m - 10 = -j for m. 5 Suppose -15 = -3*f + 2*f + 5*i, -5*f = 2*i - 48. Solve 2*n + 2*g - f = 4*n, -2*n - 4*g = -8 for n. -2 Suppose 4*t + 5*r = 18, -r - r - 6 = -5*t. Solve -2*f - 5*l = 2*f, 0 = t*l for f. 0 Let f(x) = -x + 2 + 3 + 0 - 6. Let t be f(2). Let h = t + 5. Solve -6*m - 32 = -2*m - 4*b, m = -b - h for m. -5 Suppose t - 5 - 5 = 0. Solve -3*s - 2 = c + c, c + t = 3*s for c. -4 Suppose -18 = -5*j - 18. Solve -i - 2*i - 3*l - 9 = j, -3 = 2*i - l for i. -2 Let z = -60 - -88. Let r be 8/z - 304/(-14). Solve -r = x - 4*k, -5*k = 3*x - 5*x - 29 for x. -2 Suppose 2*h = -2*m + 14, -4*m + m - 4*h = -26. Solve 5*o + 5*r = -22 - 23, -3*o - m*r - 22 = 0 for o. -4 Let b(y) = 2*y - 7. Let m be b(5). Suppose m*j - 16 = j. Solve 3*z - j = 5*z + 5*v, 4*z = 4*v - 16 for z. -4 Let p = 43 - 31. Suppose -2*a + 4*a = -2. Let u = a + 5. Solve s + p = -4*q, 3*s - u = -q - q for s. 4 Suppose -3*l = 1 - 10. Let g be 6/(-21) - 46/(-14). Suppose g*b - 52 = b. Solve 0 = 4*j + 3*r + b, -l*j - j - 22 = r for j. -5 Let i be -3*-1*4/6. Solve 0 = -r + i*p - 1 + 6, -3*r = 3*p - 6 for r. 3 Suppose 72 = 4*s - 0. Let h = 34 + s. Suppose i - 18 = -k, -4*i = -0*k + 3*k - h. Solve 0 = -5*c - 2*g - k, 5*c + 9 + 16 = -3*g for c. -2 Suppose 0 = -6*l + l + 50. Solve -3*g - 7*t + 2*t = 25, -l = 4*g + 2*t for g. 0 Let b = 7 + -5. Suppose 2*n + b = 6. Solve -3*p = -5*g - 7, 2*g = n*p - 3*g - 8 for p. -1 Let x = 44 + -24. Solve -d - 3*o = 4, -2*d - x = -3*d + 5*o for d. 5 Suppose -3*c - 4 = -4*r, 0 = -r + 5*r + 5*c - 4. Solve 15 = -5*p, r = 2*o + p - 2 for o. 3 Let k be ((-8)/(-16))/((-2)/16). Let r = k + 14. Solve 4*d - b - r = 0, d + 4*b = -2*d + 17 for d. 3 Suppose j = 3*x - 4 - 4, -x + 3*j = 0. Suppose -7*q + 2*q + 4*i - 9 = 0, i - 4 = x*q. Let d = q + 9. Solve 0*s + s + u - 5 = 0, -d = -4*u for s. 3 Suppose 5*s + 35 = 2*v, 0*v + v = -s. Suppose -10 = -2*r - 3*r. Suppose -r*a + 13 = 5*w, v*a + w - 10 = 11. Solve -l + 2*l - 2*m + a = 0, 6 = 3*l + 3*m for l. 0 Let o(l) = l**2 - l + 7. Let m be o(0). Suppose -3*z = -m*z + 16. Solve 3*s + g = 3, z*g - 1 = -3*s - 7 for s. 2 Let z(l) = 3*l**2 - 6*l + 2. Suppose 4*t = 20, -2*s + 2 = 5*t - 3. Let r be 10/3*(-12)/s. Let m be z(r). Solve -2 - 14 = -2*f + 3*u, -5*u - m = -3*f for f. 2 Let u = -15 + 26. Solve 0 = 2*o - 6, 0 = -x + 2*o + o - u for x. -2 Suppose -18 = -3*k + 5*k. Let g = 14 + k. Let w = g + -2. Solve 0 = -3*h - 0*h - 3*l, 2*h = l - w for h. -1 Suppose 3*b = -5*i - 185, -b - 2*b = 2*i + 182. Let d = 87 + b. Solve -3*k = -4*a + d, a - 5*a - k + 7 = 0 for a. 3 Let o = 43 - 41. Solve -2*z + 5 = -j, 5*z + 5*j + o = -23 for z. 0 Let q = 10 - 12. Let n(t) = -t**3 + 2*t - 1. Let d be n(q). Solve -5 = -d*a + 2*u - u, -a + 9 = -4*u for a. 1 Suppose -k = 5*z + 19, 4*z = 2*k - 4*k - 14. Solve -5*w = 15, 2*q = -w - 12 + k for q. -4 Let m = -35 + 38. Solve 4*n = -u - 16, m*n + 20 = -n - 2*u for n. -3 Let f be (6/(-6) + 0)/((-2)/6). Solve 2*v - 5*w = -2*v - 12, 22 = 5*v + f*w for v. 2 Let m be (-2)/9 - (-75)/(-27). Let n be (-13)/m - (-7)/(-21). Suppose 2 = n*l - 6. Solve 2*w = 5*g + 11, -l*w - 3*w - 5*g = -10 for w. 3 Let q = -29 - -43. Solve -3*u - 5*i + q = -5*u, -i + 4 = 0 for u. 3 Suppose 0 = -y + 5*y - 12. Let i = -169 + 173. Solve 0 = -c + y*f + 15, -c + f + i = -1 for c. 0 Let b(d) = 18*d**2 - d. Let a be b(1). Let n = a + -12. Solve -k + l = 2, 3*k - 13 - 13 = -n*l for k. 2 Suppose -175 = -5*c - 5*o, -4*o + 179 = 5*c - o. Let a = -17 + c. Solve -4*x - a = -5*l - 3, -5*l = 2*x + 1 for l. 1 Let y(b) = -b**3 + 3*b**2 - 2*b + 2. Suppose 0 = -0*v + 5*v - 10. Let g be y(v). Solve 3*w = -f + g, 2*w + 3*f + 10 = w for w. 2 Let j be (-2)/(3*4/(-24)). Solve 5*g + 9 = 2*b, 0 = -3*b - j*g - 0*g + 2 for b. 2 Suppose 6*f = 3*f + 18. Let r(t) = 2*t**2 - 8*t + 4. Let o be r(f). Solve -2*g + o = 3*g + s, 0 = 5*g + 3*s - 34 for g. 5 Let o be (-2)/(-1) - 2 - -6. Suppose 3 = g + 4*j, g + g - 3*j - o = 0. Solve -3*l = 9, 0 = -g*i - 5*l - 8 - 16 for i. -3 Suppose -g + 3*g = -d + 9, -3*g = -3*d. Suppose -30 = -4*o - 2*m - 8, 0 = 2*m + 10. Solve 0 = d*i + 4*t + 8, 6*i - o = i + 4*t for i. 0 Let v = 8 + -5. Suppose v*g - 4*g = -4. Let l(y) = y**3 - 5*y**2 + 5*y - 2. Let w be l(4). Solve w*n = 3*k + 12, -3*k + n - 1 = -g*k for k. -2 Suppose 5*l - 59 - 41 = -2*h, 3*h - 2*l = 150. Let c = 73 - h. Suppose -3*m = 4*o - c, -4 = -4*o + 4. Solve m*v = 4*b - 18, -2*b - 6 = 5*v - 0*b for v. -2 Suppose d - 10 + 8 = 0. Solve -18 = -4*x + d*o, 3*x + 0*x - 2*o = 13 for x. 5 Let j = 17 - 14. Suppose -15 = -j*d, 45 = g + 3*g + d. Solve -4*v + g = -m, -m + 0*v + v - 1 = 0 for m. 2 Suppose a - 4*p - 4 = -2*p, 3*p = a - 2. Let d = 15 - a. Suppose d = t - 1. Solve 3*h + 3 = 0, 3*k + 2*h + t = -3*h for k. -1 Let s(n) = -2*n - 7. Let a be s(-7). Let f be -10*3/(-6)*1. Solve -2*v - 14 = c - a*v, -f*v = -5*c - 10 for c. 1 Let b be -32*((-2)/4 - -3). Let p = b + 112. Solve h + p = -3*h + 3*j, 0 = h + 4*j - 11 for h. -5 Suppose 5*k = -4*q - 0*q, -5*q = k. Solve 3*f + 0*a = -3*a - 21, 5*f - a + 11 = k for f. -3 Let o = 93 + -88. Solve 9 = 3*r, o = w + r - 0*r for w. 2 Suppose 0*l - 3 = -2*l + a, a = 3*l - 7. Suppose l*y - 66 = y. Let i be y/5 + 6/(-15). Solve -i*o + h - 22 = 0, 4*h + 17 = -3*o - 2*o for o. -5 Let x be 12/(-2)*4/(-6). Suppose -76 = 2*s + 2*s + x*r, -5*r + 81 = -3*s. Let a be 4/s - (-72)/33. Solve -4*c + 4*h + 4 = 0, a*h = 2*c + 4*h + 14 for c. -3 Suppose 4*c
{ "pile_set_name": "DM Mathematics" }
46, 34, 20? -q**2 - 3*q + 74 What is the p'th term of -4, 25, 104, 257, 508, 881? 4*p**3 + p**2 - 2*p - 7 What is the u'th term of -92, -165, -212, -221, -180, -77? 2*u**3 + u**2 - 90*u - 5 What is the w'th term of 3949, 3945, 3941? -4*w + 3953 What is the r'th term of -24, -84, -168, -276, -408, -564, -744? -12*r**2 - 24*r + 12 What is the z'th term of -65, -138, -211? -73*z + 8 What is the l'th term of -146, -149, -152? -3*l - 143 What is the g'th term of -4, -5, -6, -7, -8? -g - 3 What is the w'th term of 217, 283, 353, 427? 2*w**2 + 60*w + 155 What is the w'th term of -98, -152, -206, -260, -314? -54*w - 44 What is the i'th term of -92, -89, -76, -47, 4, 83, 196? i**3 - i**2 - i - 91 What is the k'th term of 93, 190, 293, 402, 517, 638? 3*k**2 + 88*k + 2 What is the s'th term of 3123, 6248, 9387, 12546, 15731, 18948, 22203, 25502? s**3 + s**2 + 3115*s + 6 What is the u'th term of 94, 322, 710, 1264, 1990, 2894? u**3 + 74*u**2 - u + 20 What is the h'th term of -7619, -7620, -7621, -7622, -7623, -7624? -h - 7618 What is the g'th term of 24, 5, -14, -33? -19*g + 43 What is the s'th term of 175, 341, 507, 673? 166*s + 9 What is the b'th term of 782, 765, 736, 695, 642, 577, 500? -6*b**2 + b + 787 What is the c'th term of -577, -572, -563, -550, -533, -512, -487? 2*c**2 - c - 578 What is the i'th term of -1, -16, -35, -52, -61, -56? i**3 - 8*i**2 + 2*i + 4 What is the d'th term of -1304, -2598, -3892, -5186, -6480? -1294*d - 10 What is the c'th term of -2316, -2319, -2322, -2325? -3*c - 2313 What is the f'th term of -57, -72, -97, -138, -201, -292, -417, -582? -f**3 + f**2 - 11*f - 46 What is the s'th term of 647, 1287, 1927, 2567, 3207? 640*s + 7 What is the c'th term of -28, -29, -30, -31? -c - 27 What is the g'th term of 1823, 1818, 1813, 1808, 1803, 1798? -5*g + 1828 What is the i'th term of 18, 25, 30, 33, 34, 33? -i**2 + 10*i + 9 What is the n'th term of 294, 286, 278, 270? -8*n + 302 What is the f'th term of -38, -34, -30, -26, -22, -18? 4*f - 42 What is the v'th term of -12, -60, -140, -252? -16*v**2 + 4 What is the l'th term of 131, 539, 1221, 2177, 3407, 4911, 6689? 137*l**2 - 3*l - 3 What is the r'th term of 47, 69, 77, 65, 27? -r**3 - r**2 + 32*r + 17 What is the g'th term of -5, 2, 21, 58, 119, 210, 337? g**3 - 6 What is the k'th term of -14, -7, 12, 49, 110? k**3 - 15 What is the v'th term of -8, -21, -38, -59, -84? -2*v**2 - 7*v + 1 What is the a'th term of 38, 116, 232, 386, 578, 808? 19*a**2 + 21*a - 2 What is the d'th term of -38, -33, -28, -23, -18? 5*d - 43 What is the y'th term of 13, 9, 5? -4*y + 17 What is the h'th term of -11, -16, -21, -26, -31, -36? -5*h - 6 What is the y'th term of -14, -60, -144, -272, -450, -684, -980, -1344? -y**3 - 13*y**2 What is the s'th term of 39, 33, 37, 57, 99, 169, 273, 417? s**3 - s**2 - 10*s + 49 What is the a'th term of -25, -12, -3, 2? -2*a**2 + 19*a - 42 What is the i'th term of 492, 491, 490, 489, 488, 487? -i + 493 What is the o'th term of 57, 96, 131, 162, 189? -2*o**2 + 45*o + 14 What is the d'th term of -14, -34, -64, -104, -154? -5*d**2 - 5*d - 4 What is the q'th term of 12, 67, 160, 291, 460, 667, 912? 19*q**2 - 2*q - 5 What is the f'th term of 165, 343, 539, 759, 1009, 1295? f**3 + 3*f**2 + 162*f - 1 What is the a'th term of 14, 64, 156, 302, 514, 804? 2*a**3 + 9*a**2 + 9*a - 6 What is the s'th term of 25, 29, 43, 73, 125, 205, 319? s**3 - s**2 + 25 What is the u'th term of -85, -332, -743, -1318? -82*u**2 - u - 2 What is the n'th term of -211, -426, -643, -862? -n**2 - 212*n + 2 What is the s'th term of 210, 397, 586, 777? s**2 + 184*s + 25 What is the t'th term of -102, -385, -846, -1479, -2278, -3237? t**3 - 95*t**2 - 5*t - 3 What is the i'th term of 302, 1085, 2390, 4217? 261*i**2 + 41 What is the n'th term of -59, -121, -183? -62*n + 3 What is the x'th term of 500, 496, 490, 482, 472, 460? -x**2 - x + 502 What is the s'th term of 13, 16, 21, 28, 37? s**2 + 12 What is the h'th term of 56, 220, 384? 164*h - 108 What is the l'th term of -14, -19, -24, -29? -5*l - 9 What is the w'th term of 110, 220, 330? 110*w What is the y'th term of 19, 8, -7, -26, -49? -2*y**2 - 5*y + 26 What is the x'th term of -923, -933, -947, -965, -987, -1013, -1043? -2*x**2 - 4*x - 917 What is the r'th term of -155, -201, -247, -293, -339? -46*r - 109 What is the v'th term of 13, -1, -15? -14*v + 27 What is the t'th term of 194, 390, 586, 782? 196*t - 2 What is the d'th term of 712, 714, 716, 718, 720, 722? 2*d + 710 What is the s'th term of 79, 68, 43, -2, -73? -s**3 - s**2 - s + 82 What is the t'th term of 118, 114, 100, 70, 18, -62? -t**3 + t**2 + 118 What is the d'th term of -12, -36, -76, -132? -8*d**2 - 4 What is the k'th term of 34, 24, 12, -2? -k**2 - 7*k + 42 What is the t'th term of -12, -21, -42, -81, -144, -237, -366? -t**3 - 2*t - 9 What is the v'th term of -2345, -9393, -21139, -37583, -58725, -84565, -115103? -2349*v**2 - v + 5 What is the l'th term of -4865, -9730, -14597, -19466, -24337? -l**2 - 4862*l - 2 What is the d'th term of -14, -39, -92, -173, -282? -14*d**2 + 17*d - 17 What is the a'th term of -36, -43, -54, -69, -88? -2*a**2 - a - 33 What is the d'th term of -46, -44, -40, -34, -26? d**2 - d - 46 What is the s'th term of -34, -160, -378, -694, -1114, -1644, -2290, -3058? -s**3 - 40*s**2 + s + 6 What is the y'th term of -35311, -35310, -35309? y - 35312 What is the f'th term of -22, -44, -80, -130? -7*f**2 - f - 14 What is the j'th term of 391, 385, 379, 373? -6*j + 397 What is the k'th term of -904, -1810, -2716, -3622, -4528, -5434? -906*k + 2 What is the p'th term of -144, -290, -436? -146*p + 2 What is the w'th term of -410, -404, -386, -350, -290, -200, -74? w**3 - w - 410 What is the i'th term of 2642, 5293, 7946, 10601? i**2 + 2648*i - 7 What is the t'th term of 11, -13, -69, -169, -325, -549, -853, -1249? -2*t**3 - 4*t**2 + 2*t + 15 What is the i'th term of 746, 751, 758, 767, 778, 791? i**2 + 2*i + 743 What is the f'th term of 6, 20, 58, 132, 254, 436, 690, 1028? 2*f**3 + 4 What is the o'th term of 41, 72, 89, 86, 57, -4? -o**3 - o**2 + 41*o + 2 What is the s'th term of -297, -296, -295, -294, -293, -292? s - 298 What is the n'th term of -6, 4, 14, 24? 10*n - 16 What is the l'th term of 2168, 2167, 2164, 2159, 2152, 2143? -l**2 + 2*l + 2167 What is the y'th term of -72, -598, -2048, -4890, -9592? -78*y**3 + 6*y**2 + 2*y - 2 What is the t'th term of 76, 180, 284, 388, 492? 104*t - 28 What is the g'th term of -244, -488, -732, -976, -1220? -244*g What is the r'th term of 203, 407, 613, 821, 1031? r**2 + 201*r + 1 What is the u'th term of 1852, 3700, 5546, 7390? -u**2 + 1851*u + 2 What is the l'th term of 254, 262, 256, 230, 178, 94? -l**3 - l**2 + 18*l + 238 What is the d'th term of 53, 98, 139, 176, 209? -2*d**2 + 51*d + 4 What is the m'th term of 845, 860, 891, 944, 1025, 1140, 1295? m**3 + 2*m**2 + 2*m + 840 What is the x'th term of -1397, -2797, -4199, -5603? -x**2 - 1397*x + 1 What is the m'th term of 926, 1856, 2788, 3722, 4658, 5596? m**2 + 927*m - 2 What is the m'th term of 8737, 8720, 8689, 8638, 8561, 8452, 8305? -m**3 - m**2 - 7*m + 8746 What is the q'th term of -38, -78, -178, -368, -678, -1138? -5*q**3 - 5*q - 28 What is the z'th term of -41, -51, -83, -149, -261, -431? -2*z**3 + z**2 + z - 41 What is the x'th term of 130, 539, 1222, 2179, 3410, 4915, 6694? 137*x**2 - 2*x - 5 What is the u'th term of -54, -111, -166, -219? u**2 - 60*u + 5 What is the u'th term of -8704, -8700, -8696, -8692, -8688? 4*u - 8708 What is the t'th term of 216, 436, 656? 220*t - 4 What is the a'th term of 18, 109, 270, 501, 802, 1173? 35*a**2 - 14*a - 3 What is the t'th term of -224, -682, -1930, -4364, -8380, -14374? -66*t**3 + t**2 + t - 160 What is the u'th term of -41, -197, -457, -821, -1289? -52*u**2 + 11 What is the n'th term of 4, -1, -16, -47, -100, -181? -n**3 + n**2 - n + 5 What is the k'th term of 13, 90, 213, 376, 573? -k**3 + 29*k**2 - 3*k - 12 What is the x'th term of -278, -281, -284, -287, -290? -3*x - 275 What is the w'th term of 338, 626, 914, 1202? 288*w + 50 What is the x'th term of -28, -22, 2, 50, 128, 242? x**3 + 3*x**2 - 10*x - 22 What is the o'th term of -125, -56, 13? 69*o - 194 What is the i'th term of -29, -65, -101, -137? -36*i + 7 What is the
{ "pile_set_name": "DM Mathematics" }
*n + 4 as f + u*n + j*n**3 + w*n**2 and give j. -2 Express 2*k**2 + 141 - 141 in the form l + o*k**2 + q*k and give o. 2 Rearrange -4*u + 4 - 13 + 4*u - 3*u to the form v + p*u and give v. -9 Express -9 - 3*f + 16*f - 5*f - 11*f in the form b*f + h and give b. -3 Rearrange (c**3 - 2 + 2)*(3*c + 3*c - 4*c)*(-1 - 3 - 1) to the form p*c + y*c**4 + u + q*c**3 + j*c**2 and give y. -10 Rearrange 1 - 8 - 7 + 18*r + 11 to m*r + o and give o. -3 Rearrange 4 - 25*t**2 + 6*t + 2*t**3 + 49*t**2 - 22*t**2 to n*t**2 + r + b*t**3 + h*t and give n. 2 Express (q**2 - q**2 + 6*q**2)*(4*q + 13*q - 69*q) as l*q + y*q**2 + z*q**3 + g and give z. -312 Express 50*l - 323 + 323 as x + p*l and give p. 50 Rearrange -2*w**2 + 2*w + 158*w**3 - 3 - 158*w**3 + w**4 to the form i*w + f + l*w**4 + m*w**3 + c*w**2 and give f. -3 Rearrange (2*y - 5*y + 0*y)*(1 + 0 + 0)*(5*y - 5*y - 6*y) to w*y**2 + n*y + f and give w. 18 Express (-5*q + 0*q - 1 + 3*q)*(2 - 6 + 2 + (3 + 7 - 4)*(-3 + 2 + 3))*(-2 - q**2 + 2) as x*q**2 + y + o*q + a*q**3 and give a. 20 Rearrange 0*j - 4 + j**2 + 3*j - j to the form v + w*j**2 + q*j and give q. 2 Express -l**4 + 4*l**3 - 4*l**3 + (-2*l - 3*l + 0*l)*(2*l**3 + 3 - 3) + 0*l**4 + 2*l**4 + 0*l**4 as i + a*l**4 + y*l + u*l**2 + w*l**3 and give a. -9 Rearrange (5*n + 0*n - 3*n)*(2 - 2 + 2) + (-3 + 0 + 5)*(5 - 10 + 4 + 13*n) to x*n + z and give z. -2 Rearrange 10*v**3 + 2 - 29*v**2 + 15*v**2 + 13*v**2 to the form c*v**3 + d*v**2 + j*v + x and give d. -1 Express -8*k**2 + 9*k**2 + 2*k**3 + 4*k**3 - 5*k**3 as u*k**2 + p*k**3 + s + z*k and give p. 1 Rearrange -2*p + 2 + p**3 + p**3 + 3*p + 0*p**3 to the form t*p**3 + k*p + x*p**2 + a and give k. 1 Rearrange 2*j - 15*j - 7*j to the form n*j + q and give n. -20 Express (-105*w - 5 + 8 + 93*w)*(0 + 5 - 4) as v*w + n and give n. 3 Express -13*t**2 - 16*t**2 + 18*t**2 in the form p*t**2 + b*t + o and give p. -11 Rearrange (4*o**3 + o**3 - 6*o**3)*(-4*o + 0*o + 2*o) - 2*o - o**4 + 0 + o**3 + o**3 - 6 to w*o**2 + n + a*o**4 + t*o + x*o**3 and give t. -2 Rearrange 8*t**3 - 13 - 3*t**4 + t**4 + 11 to the form u*t**4 + i*t**3 + v + o*t**2 + d*t and give v. -2 Express -v**2 + 2 + 0 + 0*v**2 - 2*v**3 + 3*v**4 in the form x*v**3 + i + p*v + q*v**2 + d*v**4 and give d. 3 Express -x**2 - 2*x - 1 + 4*x + 5 as z + s*x**2 + m*x and give s. -1 Rearrange 1 + 4*q**2 + 0*q + 3*q - 6*q - 3*q**2 to n*q + t + m*q**2 and give n. -3 Express (-39*j + 43*j + 84*j)*(-j + j + 3*j) in the form x*j**2 + o + g*j and give o. 0 Express 7*l**3 - 3*l**3 - 2*l**2 + 2*l**2 + 2*l**2 as m*l**3 + j + q*l + a*l**2 and give m. 4 Rearrange (8*j**4 + 18 - 18)*(-3 + 1 + 1)*(-4 + 3 - 2) to the form f*j + r*j**4 + c + i*j**2 + t*j**3 and give r. 24 Rearrange 225*o - 227*o + 4*o**2 + 3 - 3*o**2 - o**4 + o**3 to k*o**2 + l*o + h + i*o**3 + c*o**4 and give h. 3 Express ((2 + 2*x - 2)*(1 - 2 + 4) + 0*x + 2*x - 3*x)*(x**2 - 3*x**2 - x**2) as c*x**3 + y*x**2 + q*x + f and give c. -15 Express -4*c**3 - 12*c - 2 + c**2 - 13*c - 2*c**4 + 25*c in the form p*c + s*c**2 + x*c**3 + n + q*c**4 and give n. -2 Rearrange (-4*z + 3*z - 2*z)*((2 + 2 - 3)*(4*z + 0*z - 3*z) - z + 2*z + z + (-1 + 1 - 2*z)*(4 + 1 - 3)) to the form f*z + m + x*z**2 and give x. 3 Express -2*v**3 + 3*v**3 - 4*v**3 + (-4*v**2 + 2*v - 2*v)*(2*v - 3*v + 3*v) + 3*v**3 - 1 + 1 as l*v**3 + q + m*v**2 + f*v and give f. 0 Express -16 + 8*d + 16 as g*d + o and give g. 8 Express -3*l**3 - 59*l**4 + 57*l**4 + l - 9*l in the form o*l**3 + g*l**2 + z*l**4 + n*l + p and give z. -2 Express 116*p - 34*p - 10*p + (-1 - 1 + 3)*(p + 2*p - p) + 1 + p - 1 in the form y*p + s and give y. 75 Express (-3 - a + 3)*(2 - 28 - 12) as y + f*a and give f. 38 Rearrange (4*b - 6*b - b)*(4 - 3 + 2)*(b + 3*b**2 - 2*b**2 + b) to the form q*b + u + z*b**3 + l*b**2 and give z. -9 Express -p**2 - 7*p + 0*p**4 + 16 + p**3 + 6*p - 2*p**4 - 11 in the form f*p**2 + s + a*p**4 + u*p + o*p**3 and give a. -2 Express -2*f**4 + f**2 + 0 - 3*f**3 + 3 - 8 in the form o*f**2 + r + t*f**4 + p*f + q*f**3 and give t. -2 Rearrange (-h**3 + 4*h**3 - 2*h**3)*(3 + 5 + 2) to u + c*h + n*h**2 + i*h**3 and give u. 0 Express -1005 + 1005 + 28*d + 2*d**2 as s*d + n + p*d**2 and give p. 2 Express -m**4 - 4*m**4 + 2*m**4 - m - 2 - m**4 + m**3 in the form p*m**2 + b*m**3 + z*m + c*m**4 + u and give b. 1 Express (2*q - q - 2*q)*(-25 - 15 + 65) in the form b + v*q and give v. -25 Rearrange -6*c + 10*c**2 + 6*c + (5*c - 4*c - 2*c)*(c + 4*c - 6*c) + 4*c**2 - 3*c**2 + c**2 + 0*c + 3*c**2 + 0*c to y*c + w + h*c**2 and give h. 16 Rearrange 10 + 191*i**2 - 96*i**2 - 94*i**2 to g*i + u*i**2 + c and give g. 0 Express -9*l + 2*l - 17 + 6*l in the form s + f*l and give f. -1 Rearrange 21*b - 8*b**2 - 5*b - 16*b to the form d + w*b**2 + g*b and give w. -8 Express -3*o**3 + 3*o**3 + 2*o**3 + (-27*o**2 - 21*o**2 + 46*o**2)*(0 - 2*o + 0) in the form w*o**2 + l + r*o + g*o**3 and give g. 6 Rearrange (j**2 - 4*j**2 + j**2)*(0*j**2 - 3*j**2 - j**2) to p + b*j**2 + h*j + w*j**4 + q*j**3 and give w. 8 Express -3*t + 3*t + t**2 - t**2 + 0*t**2 + 2*t**2 + (-2*t - 1 + 1)*(0 + 0 - 2*t) + t**2 + 0*t**2 + 2*t**2 in the form w*t**2 + d + v*t and give w. 9 Rearrange 5*h**3 - 14*h**3 - 16*h**2 + 9*h**4 + 11*h**3 - 2*h - 10*h**4 to x*h**4 + v*h**2 + i*h + n + t*h**3 and give t. 2 Express 3*k**2 + 3*k**3 - 5 + 0*k**2 - k**2 - 1 in the form r*k**2 + y*k**3 + g*k + x and give r. 2 Express -2*r + 4*r - r + (0 - 1 + 3)*(0 + r + 0) - 4*r + 0*r + 3*r - 12 + 7*r + 12 as b*r + s and give b. 9 Rearrange -1 + 16*k**2 + 7*k**3 - 16*k**2 - k to the form m*k**3 + n + j*k**2 + a*k and give n. -1 Rearrange (0*x + x - 3*x + (-3*x + 3*x - x)*(0 - 1 + 3) + 751 - 68*x - 751)*(-1 + 1 + 1)*(-2 + 3 - 2)*(x - 3*x + 0*x) to the form o + d*x**2 + m*x and give d. -144 Rearrange (-4*c**2 - c**2 + 3*c**2)*(-4 - 2*c**2 + 4) + (-8 + 1 + 14)*(2 - 2 - 2*c**4) to the form s*c**2 + d*c + k*c**3 + x*c**4 + f and give x. -10 Rearrange (-5 + 2 - 1)*(-3*w + 3*w + 35*w**2) to the form f*w + k + t*w**2 and give t. -140 Express 7*i**2 - 11*i**2 - 9*i**2 in the form u + a*i**2 + y*i and give a. -13 Express -14*v**2 - 16*v**2 + 25 - 26 as l*v**2 + n + o*v and give n. -1 Express -b**4 + b**2 + 6*b - 2*b + b**2 + 4*b**3 - 3*b**3 as w*b**2 + t*b**4 + k*b**3 + z + m*b and give w. 2 Rearrange (-f + 7*f - 4*f)*(-1325 - 106*f**2 + 1325) to x*f**2 + j*f + g + a*f**3 and give a. -212 Express -3*u**2 - u**2 + 2*u**2 - 3 + u**2 - 2*u**2 + 2*u**2 + (-3 - 4 + 2)*(3 - 3 + u**2) as s*u + p*u**2 + i and give p. -6 Express (-3 + 4 - 2)*(-2 + 1 - 1)*(45*z + 3 - 3) as d*z + m and give d. 90 Rearrange 11*w + 474 + 9*w - 474 to the form p*w + m and give p. 20 Rearrange (-2*g + g + 0*g)*(6*g**3 - 2*g**3 - 3*g**3) + 10 - 21 - 15 - g**4 to the form i*g**3 + r*g + w*g**2 + d*g**4 + l and give d. -2 Rearrange -3*f**2 + 6 - 6 + (-2*f + 2*f + 2*f)*(f - 3*f + 3*f) + (5*f - f - 2*f)*(2*f + 1 - 1) to the form g*f**2 + i + y*f and give g. 3 Rearrange (0 + 2 + 0 + (1 + 0 + 0)*(-5 + 5 + 2) - 2 + 3 + 1)*(3*j - j - 5*j)*(1 - 1 + 3*j**3) to n + q*j**2 + u*j**4 + w*j + o*j**3 and give u. -54 Rearrange 5 - 5 - 2*j**2 + 2*j**3 to the form o*j + s*j**2 + u*j**3 + k and give u. 2 Rearrange -5*c + 2*c**4 + 5*c + (-4*c + 3*c + 3*c)*(0*c + c**3 + 0*c) + 3*c**4 - 9*c**4 + 3*c**4 to f*c + b*c**4 + q*c**2 + t*c**3 + i and give q. 0 Rearrange 2*v**2 + 2*v + 1 - v**4 - 8*v**3 - v**2 - 2*v**3 - 3 to the form d*v**2 + m*v**4 + s + p*v**3 + f*v and give m. -1 Express (1 - 2 - 1)*(j - 1 + 1 + (-4 + 1 + 2)*(-3*j + 3*j + 2*j)) in the form y*j + z and give y. 2 Rearrange -g + 0*g + 3*g + (-5*g + g + 5*g)*(0 - 1 + 3) - 3*g - 6*g - g + 5*g - 2*g - 5*g to f + u*g and give u. -8 Rearrange (0*s**2 + 3*s**2 - s**2)*((-2*s + s + 2*s)*(2*s + 1 - 1) + 36*s + 25*s**2 - 36*s) to q*s**2 + w*s**3 + t*s + y*s**4 + a and give y. 54 Express (-18*z + 8*z + 1 + 9*z - 15*z**2)*(-z**2 + 4 - 4) in the form p*z + k*z**2 + g*z**3 + u + i*z**4 and give g. 1 Express 49*v**2 - 97*v**2 + 52*v + 47*v**2 in the form n + w*v**2 + d*v and give n. 0 Rearrange 5*s - 18 + 18 to the form z + u*s and give u. 5 Express y**3 + 7*y**4 - y**4 - 4*y**4 - 6*y**4 + 2 in the form g + s*y**4 + c*y + t*y**2 + q*y**3 and give g. 2 Express 16*y**2 + 15*y + 16*y**2 - 33*y**2 as m + d*y + l*y**2 and give l. -1 Express (l - 4*l + 4*l)*(24
{ "pile_set_name": "DM Mathematics" }
= c*u - b. What is the highest common divisor of u and 5? 5 Let i = 9509 - 8008. Calculate the highest common divisor of 95 and i. 19 Let v be (6/3 - 8)/1. Let z(s) = -2*s**3 - 8*s**2 - 2*s - 2. Let w be z(v). Let f be (-140)/42*((-16)/5 - 1). What is the greatest common factor of w and f? 14 Suppose q = -5*l + 31, -q - 6*l + 2*l + 28 = 0. Suppose -q*i - 15*i = -6138. Calculate the highest common divisor of 18 and i. 18 Suppose t - 33796 = -t - 13608. Calculate the greatest common factor of t and 49. 49 Let n be (3 + -206 - 0) + 5 + -3. Let t = n + 303. Let b = t - 84. What is the highest common divisor of b and 2? 2 Let h = 5873 - 5633. Suppose o - 904 = -3*d, d - 4*o + 78 - 362 = 0. What is the highest common divisor of h and d? 60 Let x be (-10 - 423/(-45))/((-2)/30). Let z(t) = -t**3 - 8*t**2 + 12*t - 4. Let n be z(-9). Let q = -4 - n. What is the greatest common factor of x and q? 9 Let a be ((-93)/(-12))/((-57)/(-228)). Let h(v) = 14*v**3 + 2*v**2 + 3. Let g be h(3). Let b = g - 244. Calculate the highest common factor of b and a. 31 Suppose -4*r = -512*o + 510*o + 3280, -3*r = 3*o - 4974. Calculate the highest common factor of o and 531. 59 Let w = 2735 - 2628. What is the greatest common divisor of w and 11021? 107 Suppose -98*d + 5379 = -97*d - 2*y, -16082 = -3*d - 5*y. Calculate the greatest common factor of 65 and d. 13 Suppose j + 5*k - 707 = 0, -j + 6*j - k = 3509. Let l = j + -686. What is the greatest common divisor of l and 1152? 16 Let u be 6*(-2)/12*-3. Suppose -18 = v + 3*c, -u*v - v + 2*c = 72. Let w be 2/4*-10*v. What is the greatest common factor of 18 and w? 18 Suppose -1972 = -2*b - 3*c, -5*b - 2*c - 50 = -4980. What is the highest common factor of b and 374? 34 Let c(o) = 8*o - 45. Let h(d) = d**3 - 2*d**2 - d + 10. Let q be h(0). Let j be c(q). Let u = -4 - -18. What is the greatest common factor of j and u? 7 Let f = -11 - -10. Let g be (-24)/(2 + -3 - f/(-2)). Suppose -o = -2*v + 3*v - 2, -4*v = 3*o - 2. Calculate the greatest common divisor of o and g. 2 Let l be -28*10*-1 + -1. Suppose l + 51 = 3*x - 2*w, -4*w = 0. Let v be 4/(-60) + 10240/600 - 6. Calculate the highest common divisor of x and v. 11 Suppose 2447 - 1017 = 5*l + 5*w, 0 = 5*l - 5*w - 1450. Let a be ((-35)/14)/((-45)/162). What is the highest common factor of a and l? 9 Let z = -180 + 244. Let h = 104 - z. What is the highest common factor of h and 10? 10 Let p(o) = o**3 + o**2 - 27*o - 73. Let z be p(7). What is the greatest common divisor of z and 510? 10 Let p = 34 + 14. Let m be 9/(-189)*6 + (-16)/(-7). Suppose l - 1 - 3 = -w, -m*w + 4 = 3*l. What is the greatest common factor of w and p? 8 Suppose -26*l = -54 - 50. Suppose 0 = 2*x + v - 26, -l*x + 3*v = -x - 57. Calculate the greatest common divisor of 195 and x. 15 Let m = 39 + -42. Let v(b) = b + 15. Let y be v(m). Calculate the highest common factor of 96 and y. 12 Let n(q) = q**2 + 6*q - 14. Let y be (-29)/3 + 22/33. Let z be n(y). Calculate the highest common divisor of z and 689. 13 Suppose -8*u - 4*v + 1352 = -2792, -2*u + 1012 = -5*v. Calculate the greatest common divisor of 1935 and u. 129 Let r(l) = l - 5. Let m be r(5). Suppose -q - 1 + m = 0. Let n be 2 + (-20)/((q + 3)*-1). Calculate the highest common divisor of 30 and n. 6 Suppose -2*s = 10*s - 168. Let z be 60/(-110) - 5568/(-44). Calculate the greatest common divisor of s and z. 14 Suppose -3*i + 0*r + 130 = -r, -4*i + 160 = 2*r. Let l = -15 + i. Suppose -p + 144 = l. What is the highest common divisor of p and 13? 13 Let a be (80/50)/((-8)/(-1140)). Let o be (-499)/(-2) - (-19)/(a/30). What is the highest common divisor of o and 56? 28 Let u = -251 + 621. What is the highest common factor of u and 111? 37 Let m be 17 + 5 + 13080 + -24. What is the greatest common divisor of m and 78? 26 Suppose v + 0 - 3 = 0. Suppose 4*d + 84 = t, v*t + 2*d + 3*d = 269. Calculate the highest common factor of 33 and t. 11 Let o be (611 - 172) + -2 + -1 + -4. What is the highest common factor of o and 1344? 48 Let u be (-5)/(-6)*(3 - -11 - 8). Suppose -3*h + 43 = -u*k, -5*h - 4*k + 78 = -6. Let l = 14 - 6. What is the highest common divisor of l and h? 8 Suppose 8*v - 180 + 169 = 733. Calculate the greatest common divisor of 8401 and v. 31 Let u = 896 + -851. What is the greatest common divisor of 645 and u? 15 Let l be 32224/(-159)*21/(-2). Calculate the greatest common divisor of 224 and l. 112 Suppose b + 1854 = 6*u - 4*u, -4*b = -4*u + 3716. Calculate the greatest common factor of 407 and u. 37 Let p(g) = g**3 + 13*g**2 + 24*g + 41. Let t be p(-11). Suppose -4*v = -k + 172, 0 = -2*k - 3*v + 2*v + 299. Calculate the greatest common factor of k and t. 19 Let m(j) = 2*j + 9. Let x be m(5). Let o = 305 - 201. Suppose 9 - o = -5*w. Calculate the greatest common factor of w and x. 19 Let d = -110 + 111. Let f be d*80/(-25)*(-6 + 1). What is the greatest common factor of f and 12? 4 Suppose 0 = m + 4*d + 11, -4*d + 18 - 2 = 0. Let z = -21 - m. Let x(q) = -q**3 + 8*q**2 - 6*q. Let n be x(z). Calculate the highest common factor of n and 9. 9 Suppose 0 = -12*q + 4*q + 40. Suppose 6*i - 25 = q. Suppose f + i = 0, 4*o = 3*o - 2*f + 1. What is the greatest common factor of o and 55? 11 Let y = -7116 + 7868. Calculate the highest common divisor of 1316 and y. 188 Let r be 3*(1 - 2)*(-8)/(-24). Let p be r/(3/(-9))*(-124)/(-3). What is the greatest common factor of p and 4? 4 Suppose 38*y - 34*y = -b + 12, 4*b = 5*y + 90. Let l(d) = d**2 + 6*d + 8. Let h be l(-6). What is the highest common divisor of b and h? 4 Suppose -2053 = -2*m - 4*o + 543, m = 4*o + 1268. Calculate the greatest common factor of m and 224. 56 Let w(b) = b**3 - 5*b**2 - 3*b - 5. Let m be w(7). Let y(t) = -t + 31. Let h be y(19). Suppose -n = -h + 3. What is the highest common divisor of n and m? 9 Suppose 0 = -6*x + 11*x - 25, 5*p + 30 = -x. Let l be 14/p + 11 - 1. What is the greatest common divisor of l and 12? 4 Let v = -452479 - -453330. Suppose -3*x = -i - 9 - 61, 0 = -4*x - 2*i + 90. What is the greatest common divisor of v and x? 23 Suppose 8 = 2*p - 3*q - 20, 0 = -p + 2*q + 13. Let f = p + 31. Let i(x) = 1092*x - 11940. Let u be i(11). Calculate the highest common divisor of u and f. 24 Suppose 0 = -4*x + 2 + 6. Let t(s) = -9*s**2 + 3 + 2 + 3 + 11*s**2. Let y be t(-3). What is the greatest common factor of x and y? 2 Let f(v) = 112*v - 97. Let k be f(12). Let o be k/29 + -1*(5 + -2). What is the greatest common factor of o and 24? 8 Suppose 2*x - c = 1425, 82*c - 86*c - 20 = 0. Calculate the greatest common factor of 1278 and x. 142 Suppose 5*u - 399 = -419. Let x(l) = l**3 + 4*l**2 + 2*l + 10. Let n be x(u). Calculate the highest common divisor of n and 54. 2 Let z = 46 - 22. Let h be ((-27)/(-18))/(4/z). What is the greatest common divisor of h and 117? 9 Suppose f - 175 = -d, -5*d - 337 - 608 = -5*f. What is the greatest common factor of 7553 and f? 91 Let h be (10721 - (8 + -1)) + -17. What is the greatest common factor of 19 and h? 19 Suppose 6*f = f - s + 875, 2*s = 5*f - 875. Let p = f + -87. Suppose -4*d + p = -0*d. What is the greatest common factor of d and 132? 22 Let c be (-3)/((11/9)/(256/1464) + -7). Let w = 28 - -4. Calculate the greatest common factor of w and c. 32 Suppose 1190 = 3*g + 5*t, t + 3 = 1. Calculate the highest common divisor of 2500 and g. 100 Let y(r) = 2*r**2 + 93*r + 236. Let v be y(-44). Let p = -93 - -221. What is the highest common divisor of v and p? 16 Suppose 225*o - 229*o = -a - 447, 5*o - 3*a = 571. Let x(b) = 12*b - 4. Let j be x(4). Calculate the greatest common divisor of j and o. 22 Let s = 28 + 0. Let y be (-154)/(-110)*(-50)/(-2). What is the greatest common factor of y and s? 7 Suppose 43*f - 55 = 38*f. Let c(k) = -7 - 2*k**2 + f*k + 3*k**2 + 2. Let b be c(-13). Calculate the greatest common divisor of b and 7. 7 Suppose -2*r = 2, 0*v = 4*v + 4*r + 4. Suppose -4*j - 2*j + 768 = v. Let x be 10/85 + j/68. Calculate the highest common divisor of 6 and x. 2 Let o(k) = -3*k**3 - 2*k**2 - 5*k - 11. Let s be o(4). Let x = -193 - s. What is the highest common divisor of x and 558? 62 Suppose -5*b - 5*w = -105, 2*b - 4*w = -b + 63. Let j = 25431 - 24906. What is the greatest common factor of j and b? 21 Suppose -12*s + 654 = -726. Calcul
{ "pile_set_name": "DM Mathematics" }
te ((-132)/(-24) - 6)/(3/6). -1 Evaluate ((-8)/(-12))/((-4)/12 + -3). -1/5 What is (32/6)/(13/(78/4))? 8 Calculate 1/5 - (-15)/(-83 + 8). 0 What is the value of 1*(10/(-4))/((-7)/(-14))? -5 Calculate 66/9*(-120)/(-220). 4 What is the value of (-2)/15*((-27)/(-2))/3? -3/5 What is the value of -2 + (756/(-45))/(-12)? -3/5 What is the value of -12 + (4 - 1) + (4 - 1)? -6 ((-2)/8)/(10/8)*-3 3/5 Evaluate (6/4)/(((-378)/(-8))/(-9)). -2/7 Calculate (-188)/60 + -3 + 6. -2/15 What is the value of (-6 - (-1 + 5)) + (10 - 9)? -9 Calculate 3/(6/(-4) - (6 - 3)). -2/3 What is the value of (-11 - (-175)/14)*4/(-6)? -1 What is the value of 9*(1/30)/1? 3/10 What is the value of (3/(-5))/(((-8)/(-40))/1)? -3 What is the value of 2/((-128)/(-24) + -6)? -3 2*(2/4)/((-60)/8) -2/15 What is (524/128 + -4)*4? 3/8 Calculate 4/(-6)*8*(-18)/24. 4 What is the value of (-1)/(11/20) - (2 - 4)? 2/11 What is the value of -2 + 2 + 3 - 4/1? -1 What is the value of (15/(-125)*2)/((-4)/10)? 3/5 What is the value of 1/(-1) - 0/(1*-2)? -1 0*(-1 - (-4 + (10 - 6))) 0 What is (-30)/4 + 272/34? 1/2 Calculate ((-2)/(-1) + 2)*5/30. 2/3 Calculate (-135)/175 - 16/(-28) - -1. 4/5 228/(-54) - 6/135*-5 -4 (-31)/248 - (-18)/400 -2/25 Evaluate ((-9)/27)/(-1 + 39/36). -4 What is the value of (3 - 3) + -2 - -5? 3 What is (16/(-32))/(22/(-8))? 2/11 What is the value of (816/(-18))/(-17) - 2/(-6)? 3 Evaluate (-12)/(-15 - -3) + 8/(-10). 1/5 What is -10 + 11 - (-115)/(-105)? -2/21 Calculate 480/1672 + 2/(-19). 2/11 ((-126)/45)/7 - (-34)/10 3 (81/15 + -5)/((-9)/(-15)) 2/3 What is the value of ((-8)/(-22))/((-8)/(-44))? 2 Calculate (0 + 3)*(-5)/(-60). 1/4 Evaluate 2/13 + (3 - (-110)/(-39)). 1/3 ((-40)/(-12))/(-8 + (-80)/(-8)) 5/3 Calculate 44/(-28) + (-18)/42. -2 Calculate (-9)/(-5) + (7 - 8). 4/5 (-5)/(-15) + 1/(15/(-125)) -8 Calculate 8/(-10) - (-7)/(-35). -1 Evaluate 2236/1820 + (-3)/7. 4/5 What is -5 + 2 + 8/3? -1/3 What is the value of (2/3)/(4*(-6)/36)? -1 What is the value of (0/(-6) - -4)*(-1 + 0)? -4 Evaluate -5 + 30/6 + -1. -1 100/(-195) - (-2)/(-13) -2/3 What is (-3)/((-693)/(-64)) - 106/(-583)? -2/21 What is 287/451*4/14? 2/11 What is the value of (-7)/(-36) + (-92)/16 + 6? 4/9 Calculate (266/21 + -11)/(1/3). 5 Calculate (-9 - 440/(-33)) + (-4)/(-6). 5 What is the value of (-18 - -20)/((-1)/2)? -4 What is the value of ((-6)/(-46))/(-9 - (-30)/4)? -2/23 Calculate (-78)/(-42)*(-26)/(-169). 2/7 What is the value of (-3 + 2)*(-59)/472? 1/8 What is 10 + 0 + -7 - 22/6? -2/3 What is 18/(-4) - (24/6 + -7)? -3/2 What is the value of -1 - (-5 + 6/3 + 1)? 1 Evaluate (-10)/(-180)*(0 + 3). 1/6 What is ((-156)/(-780))/(0 - 2/(-6))? 3/5 Evaluate 4/((-40)/(-15))*(0 - 2). -3 Calculate 3 + 0 - (8 + -5). 0 Calculate (-80)/(-32)*(0 - (-2)/1). 5 Calculate -5 + (-234)/(-42) + -1. -3/7 Evaluate -5*((3 - 5) + 3). -5 What is the value of 2/(-7) + (-208)/56? -4 What is (-375)/(-75) - (4 + 1)? 0 (-6)/5*(39/9 - 1) -4 What is the value of (-10)/(-45) + 57/(-135) + 0? -1/5 What is (147/4)/(-21) + 6/4? -1/4 ((-2)/(-5))/(104/(-130)) -1/2 What is the value of -9 - (-10 + 2 + 3)? -4 What is the value of (-2 - -7)*(-52)/650? -2/5 Calculate -2 - -8 - (23 - (-4 - -14)). -7 What is ((-4)/(-12))/((-31)/(-651))? 7 Calculate 3/21 - (-48)/(-140). -1/5 Calculate 8/6*306/(-68). -6 ((-20)/(-75))/(2/3) 2/5 3/(4/(-20)*195/(-26)) 2 Calculate 34/(-15) + (430/6)/43. -3/5 What is 2/9 + 192/(-54) - -4? 2/3 Calculate ((-10)/(-3) - 4)*-3. 2 Calculate 174/783 - (29/9 - 1). -2 Evaluate ((-1)/(-16))/(1/(-6)). -3/8 What is -8 - 5/(-25)*36? -4/5 What is 2/(-22)*(2 - 0)? -2/11 Calculate 3/2 - (2/(-4) - 0). 2 60/48*(-4)/(20/3) -3/4 What is the value of -6 + 4 + (-1)/(-2)? -3/2 What is 195/26*4/(-6) + -1? -6 What is (-10 - -9)/((-2)/(8/10))? 2/5 What is 3 + (2/14 - 120/105)? 2 Calculate -3 + 4*5/(-10). -5 (6/(1 - (4 - 1)))/(-1) 3 Evaluate (6/(-4)*-1)/(21/35). 5/2 What is the value of (-60)/(-63) + (-6)/21? 2/3 What is the value of (-92)/20 - -10 - 6/(-10)? 6 Calculate (-207)/(-138) - 3/2. 0 Calculate (-388)/(-76) - 5 - 183/114. -3/2 (-6)/45*5/6 -1/9 What is (-3)/4 + 6765/7260? 2/11 What is (102/(-27) + 4)/(1/3)? 2/3 Calculate 10*(-1)/3 + 3 + 0. -1/3 What is 45/(-30) + 51/22 + -1? -2/11 ((-14)/35)/((-16)/30) 3/4 What is the value of (-75)/(-45)*(-6)/10? -1 What is 15/45*(-6)/4? -1/2 Evaluate (-1)/(-5 + (-63)/(-14)). 2 What is the value of (-12)/9 + (5 - (5 - 2))? 2/3 Calculate (-18)/(-70) + 2*4/56. 2/5 185/(-30) + 1 + 5 -1/6 ((-4)/(-28))/(3/9) 3/7 Calculate 18/390 + 1/(-5). -2/13 What is the value of -9 + 4 + 4 + -4? -5 (162/(-66))/(-3) + 2/11 1 What is (10/180)/(1/6*3)? 1/9 -1 - (1 + (-85)/35) 3/7 Evaluate (27/36)/(-1 - 3/6). -1/2 What is ((-76)/(-95))/((-3)/(-15))? 4 Calculate (-2*(-8)/96)/((-10)/(-8)). 2/15 Calculate ((-2 - -2)/(-1))/(49 + -51). 0 (((-396)/(-27))/(-22))/((-32)/(-18)) -3/8 Calculate -10 + -1 + (52 - 47). -6 What is the value of 6/(-10)*245/(-98)? 3/2 What is the value of (-37)/444 - (-2)/6? 1/4 (2/3)/(21/18) 4/7 Calculate (-48)/168 - ((-10)/(-14) - 2). 1 Calculate (18/6)/((-9)/(-12)*-1). -4 What is the value of (12/42)/(1 - 2)? -2/7 Evaluate (-4)/(-36) - (-7)/(-63). 0 93/(-310)*6/(-9) 1/5 Calculate 6 - (-2 - -3) - (-104 + 110). -1 2/3*(-72)/(-192) 1/4 Calculate (4 + -6)*2 + (-1 - -4). -1 (33/22)/(15/8) 4/5 3/(((-45)/(-10))/1) 2/3 Evaluate -5 + 2 - ((-8 - -8) + -6). 3 Evaluate 1*(10/(-10) - 3/(-4)). -1/4 238/510 + (-4)/6 -1/5 Evaluate 20/(-6) + 1/(3/15). 5/3 What is (22/77)/(1/(5 + 2))? 2 Evaluate 20/12*36/20. 3 Calculate 1/1*(32/(-20))/4. -2/5 Evaluate 10/(-18)*423/(-47). 5 Evaluate (-1 + 8/10)/(7 - 8). 1/5 Evaluate (-27)/63 - (-8)/(-14) - -5. 4 Evaluate ((-32)/128)/(1 - 21/36). -3/5 (2/(-4))/(135/30) -1/9 Evaluate (0*(-2)/4)/(-3). 0 What is (-81)/(-135)*(0 - -5)? 3 What is the value of 6*2/4*(-315)/135? -7 Evaluate 60/144 + 9/(-12). -1/3 What is 25/(-420) + (-3)/36? -1/7 What is 4*(20/(-80))/((-2)/(-10))? -5 What is the value of -2*((-3)/12)/(7/(-42))? -3 11 - 15 - (3 + -11) 4 Evaluate (17 - 7 - 5) + -1. 4 Calculate (-75)/10 + 4 + 5. 3/2 Calculate 3 + -7 + (5 - 21/28). 1/4 Calculate -4 - 80/(-12) - 2. 2/3 Calculate 10/55 - 15/(-99). 1/3 What is (-4)/10*(-2 + 12)? -4 Evaluate 3/(-35) - ((-3260)/140 - -23). 1/5 What is 24/28*28/16? 3/2 What is the value of 7/((-56)/(-36)) + -3? 3/2 ((-4)/12)/((-1)/(-15)) -5 Calculate (1 + -7)*(51/24 + -2). -3/4 Calculate -11 + (9 - (-14)/(-14)). -3 Evaluate (-1*2/3)/(52/156). -2 Calculate (4/(-7))/(-41 - -39). 2/7 What is 9/(-162)*-6 - (-22)/6? 4 What is the value of (-2 - (-352)/200)/((-2)/(-10))? -6/5 Calculate -1 + (-1 - (-2 - 8/52)). 2/13 What is ((-6)/(-21))/(21/294)? 4 6/(-2) - (-45)/12 3/4 Evaluate 152/24 + (-5 - -1 - 1). 4/3 8/(-3)*69/46 -4 What is the value of 44/33 - 1/3? 1 Calculate (-1 - -1) + (-22)/(-55). 2/5 What is ((-9)/16)/((-9)/(-12) + 0)? -3/4 What is the value of -1 + ((-40)/(-140) - 40/(-7))? 5 Calculate (-2*2)/((-200)/24 + 7). 3 Evaluate (1860/496)/(-1 - 7/2). -5/6 What is 120/36*(-3)/(-2)? 5 What is 20114/(-2492) + ((-2)/28)/(-1)? -8 Evaluate ((-35)/(-119))/(40/16). 2/17 Calculate (-30)/(-9) + 4/6. 4 Evaluate 5/(-1) - (10 - 12). -3 464/(-406)*(-21)/12 2 What is the value of ((-2)/(-3))/(20/(-6))? -1/5 1188/(-567) + (-4)/(-42) -2 4*((-4)/32*3 - 0) -3/2 ((-16)/120)/((-64)/240) 1/2 ((-54)/63)/((-6)/(-28)) -4 1 - (-3)/(-5) - (-55)/(-75) -1/3 What is the value of 24/132 - 252/(-66)? 4 Calculate 0*(4/((-24)/30) - -6). 0 Calculate (-3)/(-6)*(7 - 15). -4 Evaluate (3 - 6) + -3*(-2)/1. 3 -12*(81/(-12) + 7) -3 Evaluate -53 + 67 + 194/(-14). 1/7 What is the value of (9/(-180))/(2/(-50))? 5/4 Calculate ((-4)/6)/(2 + -5 + 5). -1/3 Evaluate ((-8)/6)/((-20)/(-90) - 0). -6 2/(-13) + ((-6)/39)/(-1) 0 What is the value of 0/1 - (-50 + 57)? -7 Evaluate (3/(-42) - (-114)/420)*-1. -1/5 Evaluate -2 - ((-7)/(-21) - (-20)/(-6)). 1 What is the value of (-1)/((-3)/(-2)) - 91/21? -5 Evaluate 1/(-1) - (-54)/45. 1/5 Evaluate ((-6)/21)/(4/28). -2 What is (-1288)/690 - (-2 + 0)? 2/15 What is 2/4*2 + (-31 - -37)? 7 What is the value of (144/1584)/(2/(-22))? -1 What is 275/33 + (-45)/5? -2/3 What is the value of 0 - (-52)/(-12) - (-1 - 4)? 2/3 Evaluate 3/18*(-30)/(-25). 1/5 (0 - (-2)/2) + -3 -2 Evaluate 51/105 - (0 + (-12)/(-42)). 1/5 3/9*-1 - (-52)/12 4 What is (3/6)/(8/(-80))? -5 -1 - (-4 + -2 + 4) 1 Cal
{ "pile_set_name": "DM Mathematics" }
21*v**5 wrt v. 220*v**3 Let a(q) be the first derivative of -q**3/3 + q - 7. Let w(l) = 3*l**2 - 11*l + 3. Let g(h) = 3*a(h) - w(h). Find the second derivative of g(v) wrt v. -12 Let u(s) = -s**5 - s**4 + s - 1. Let k(g) = -13*g**5 - 2*g**4 - 8*g - 2. Let n(y) = -k(y) - 5*u(y). What is the second derivative of n(c) wrt c? 360*c**3 + 84*c**2 Find the third derivative of 436*x**3 + 7*x**2 + 3*x**2 + 4849*x - 4858*x + 97*x**3 wrt x. 3198 Let o(c) = -2. Let g(x) = 57*x**2 - 56. Let r(u) = 4*g(u) - 20*o(u). What is the derivative of r(b) wrt b? 456*b Find the second derivative of -3 - 5*g**3 + 3*g + 108*g**3 + g - 22*g**3 wrt g. 486*g Find the second derivative of -17*m + 2*m**3 - 108303*m**4 + 108089*m**4 - 2*m**3 wrt m. -2568*m**2 Suppose 2*v - 33 = -5*d, d + 2 = 7. Let z be (-1)/2 - 9/(-2). Differentiate 27*r**4 - 20*r**v - 1 - z wrt r. 28*r**3 Let r(b) = 2*b. Let p(m) = 118*m**2 + m + 3. Let q(s) = p(s) + 5*r(s). Find the second derivative of q(c) wrt c. 236 Let s(c) be the first derivative of 97*c**4/4 - c**3/3 + 13*c**2/2 - 120. Find the third derivative of s(q) wrt q. 582 Let d(m) = m - 1. Let y be d(-2). Let i be ((-2)/7)/(y/21). What is the third derivative of -2*s**2 + i*s**6 - 5*s**2 + 5*s**2 wrt s? 240*s**3 Let b(p) be the third derivative of -9*p**6/20 - 2*p**5/3 - 2*p**2 - 9. What is the third derivative of b(a) wrt a? -324 Let h(u) be the second derivative of 11*u**6/6 - u**5/5 + 367*u**4/6 - 626*u. What is the third derivative of h(m) wrt m? 1320*m - 24 Let l(t) be the third derivative of 0 + 0*t**4 + 0*t - 1/48*t**8 + 0*t**6 + 0*t**7 + 0*t**3 + 1/6*t**5 + 23*t**2. What is the third derivative of l(h) wrt h? -420*h**2 Suppose -3*y + 2*b + 10 = -12, -2*b = 5*y - 10. Find the first derivative of 2 + 14*a**y + 0 + 4 wrt a. 56*a**3 Let y be 119 + 3 + (1 - 1). Suppose -g = -3*m + 5*m - y, -346 = -3*g - m. What is the third derivative of 5*w**4 - 2*w**4 - 113*w**2 + g*w**2 wrt w? 72*w Let t(z) = -z**2 - 6*z. Let s be t(-5). Let y = s + -5. Differentiate y + 5 - 5*q + 0 + 2*q wrt q. -3 Let h(d) be the third derivative of -83*d**5/60 - 7*d**4/12 - 87*d**2. Find the second derivative of h(r) wrt r. -166 What is the derivative of 36*g**3 - 71 - 173*g**3 + 188*g**2 - 188*g**2 wrt g? -411*g**2 Let a(p) = 642*p**3 - 3*p - 626. Let m(h) = 1285*h**3 - 5*h - 1251. Let j(i) = -5*a(i) + 3*m(i). Find the first derivative of j(o) wrt o. 1935*o**2 Let m(a) be the second derivative of -47*a**8/56 - a**6/5 + 5*a**4/12 - 5*a**2 + 392*a - 1. Find the third derivative of m(o) wrt o. -5640*o**3 - 144*o What is the third derivative of 35*j**4 - 22*j**3 - 15*j**3 + 125 - 6*j**3 - 42*j**4 + 13*j**4 - 2*j**2 wrt j? 144*j - 258 Let a(h) be the second derivative of 3*h**5/20 - 43*h**4/6 + 71*h**3/6 + 2*h**2 + 10*h + 30. Find the second derivative of a(c) wrt c. 18*c - 172 What is the first derivative of 52*o**2 + 2*o**2 + 130 + 91*o**2 - 3*o**3 wrt o? -9*o**2 + 290*o Let w = 6 + -4. Suppose 3 = 4*g - 13. Find the second derivative of 3 - g + 1 + 3*t - w*t**2 wrt t. -4 Suppose -2*l = -3*o + 88, 2*o + o - 5*l = 76. What is the derivative of 346*q - 346*q - o*q**3 + 4 wrt q? -96*q**2 Let c(y) = -204*y + 137. Let b(p) = -211*p + 138. Let d(z) = 5*b(z) - 4*c(z). Differentiate d(n) with respect to n. -239 Let r be (1 + 3)/(-2) + 17. What is the third derivative of -r*y**3 - 15*y**2 - 6*y**2 + 0*y**3 + 10*y**2 wrt y? -90 What is the second derivative of -2297*m**4 + 1150*m**4 + 3*m - 343*m**5 + 1147*m**4 - 6 wrt m? -6860*m**3 Suppose 0 = -44*k + 257 + 7. Let h(x) be the second derivative of 1/2*x**3 + 1/2*x**4 - k*x + 0*x**2 + 0. What is the second derivative of h(g) wrt g? 12 What is the second derivative of 0 - 276*l - 4 + 2 + 94*l + 216*l**5 - 15*l**5 wrt l? 4020*l**3 Let s(p) = 116*p**2 + 3*p + 35. Let u(j) = -234*j**2 - 5*j - 71. Let k(l) = 5*s(l) + 3*u(l). What is the first derivative of k(m) wrt m? -244*m Let v be 3/6*0 - 1. Let h be ((-18)/3)/(v*2). Find the second derivative of 5*j + 2*j**4 - 11*j**h + 11*j**3 wrt j. 24*j**2 Suppose 6*u - 10 = u. Let r be ((-9)/u)/3*-2. What is the third derivative of c**2 + 3*c**3 - 4*c**3 - c**3 - r*c**2 wrt c? -12 Let f(a) = -10962*a + 21929*a + 9 - 10970*a. Let b be 4/3*6/4. Let q(u) = -u. Let v(r) = b*q(r) + f(r). What is the derivative of v(d) wrt d? -5 Find the third derivative of 1039*k**2 + 57*k**3 - 1207*k**2 - 203*k**3 wrt k. -876 Let f(q) be the first derivative of 37*q**6/6 - 43*q**2 - 1. What is the second derivative of f(c) wrt c? 740*c**3 What is the third derivative of -120*j + 53*j - 127*j**5 + 68*j + 121*j**2 wrt j? -7620*j**2 Let u be 4/14 + 165/35. What is the third derivative of -65*n**3 - 11*n**u + 0*n**2 + 65*n**3 - 6*n**2 wrt n? -660*n**2 What is the second derivative of -70*z**2 + 218*z**2 + 40*z + 195*z wrt z? 296 Let y = 8 + -6. Let h be (2 + -2)*(-1)/y. What is the third derivative of q**5 + 2*q**2 + q**6 - q**5 + h*q**6 wrt q? 120*q**3 Let p(f) = f**3 - 5*f**2 - 7*f + 8. Let z be p(6). What is the third derivative of -6*a**z - 6*a**2 - 10*a**4 - 2*a**2 + 0*a**2 wrt a? -240*a Let n be 0 + (-2)/3 - 448/(-96). What is the third derivative of k**3 + 30*k**4 - k**3 - 23*k**n - 3*k**2 wrt k? 168*k Let y(h) be the first derivative of -190*h**3/3 + h**2 + 22*h - 85. Find the second derivative of y(k) wrt k. -380 Let c(g) be the second derivative of -248*g**3/3 + 493*g**2/2 - 86*g. What is the derivative of c(d) wrt d? -496 Let g = 16 + -12. Suppose -g*z = -10 - 26. What is the derivative of 10 + z - 4*h**3 - 26 wrt h? -12*h**2 What is the third derivative of 79*g**4 + 458*g - 458*g - 184*g**2 - 3 + 3 wrt g? 1896*g Let z(c) be the first derivative of -5*c**2/2 + 3*c + 28. Let r(n) = -6*n + 2. Let m(q) = 6*r(q) - 7*z(q). What is the first derivative of m(v) wrt v? -1 Let o(t) be the third derivative of -33*t**6/20 - 19*t**3/3 + 179*t**2. What is the first derivative of o(d) wrt d? -594*d**2 Let q(u) be the second derivative of -19/6*u**3 - 17/20*u**5 + 0*u**2 + 0 + 26*u + 0*u**4. What is the second derivative of q(o) wrt o? -102*o Let x(m) be the first derivative of -7*m**3/6 + 9*m**2/2 - 4*m - 12. Let u(a) be the first derivative of x(a). What is the derivative of u(g) wrt g? -7 Find the first derivative of -243 + 353*l**3 - 126*l**3 + 790 - 141 wrt l. 681*l**2 Let i(g) = -g - 1. Let j be i(-6). Let u be ((-30)/(-35))/((-3)/(-28)). What is the second derivative of -u*m**j + 6*m - 3*m + 5*m**5 wrt m? -60*m**3 What is the third derivative of -68*t - 657*t**6 + 677*t**6 - 64*t**2 + 68*t wrt t? 2400*t**3 Let p be (-1)/(-3)*(4 - -368). Differentiate -1 - p*x**2 + 3 + 66*x**2 + 64*x**2 with respect to x. 12*x What is the third derivative of 105*n**2 - 57*n**2 + 3*n**4 + 99*n**2 - 2*n**4 wrt n? 24*n What is the third derivative of 0*k**3 + k**3 + 245*k**2 - k**3 - 156*k**6 + 71*k**6 wrt k? -10200*k**3 What is the second derivative of 11*w**3 - 7*w**3 - 5*w**3 - 51*w - 15*w**4 + 4*w wrt w? -180*w**2 - 6*w Let f(b) = -148*b + 964. Let r(z) = -50*z + 321. Let w(a) = 6*f(a) - 17*r(a). Find the first derivative of w(o) wrt o. -38 Let r(f) be the third derivative of f**7/168 + 11*f**4/24 + 2*f**3/3 - 12*f**2. Let m(i) be the first derivative of r(i). Differentiate m(c) with respect to c. 15*c**2 Let r(j) be the second derivative of -50*j**3/3 + 237*j**2/2 - 16*j + 3. Find the first derivative of r(y) wrt y. -100 Find the third derivative of 68*x**3 - 2*x**5 - 509*x**2 + 2 - 120*x**2 - 2 + 96*x**2 wrt x. -120*x**2 + 408 Let t = 24 + -24. Let c(x) be the second derivative of 0*x**4 - 8*x + 0*x**3 - 1/5*x**6 + x**2 + 0 + t*x**5. What is the first derivative of c(v) wrt v? -24*v**3 Let q(r) be the third derivative of r**6/30 - 5*r**4/24 + 3*r**3/2 + 2*r**2 - 33*r. What is the second derivative of q(x) wrt x? 24*x Let o(c) = -7*c**4 + 2*c**2 - 3*c + 106. Let b(v) = 19*v**4 - 7*v**2 + 8*v - 319. Let p(h) = 3*b(h) + 8*o(h). Find the first derivative of p(t) wrt t. 4*t**3 - 10*t Suppose 0*c - 14 = c - 2*o, -17 = c - 3*o. Let f = -6 - c. Differentiate -2*u - 4*u**3 + 3*u**3 + f*u - 1 wrt u. -3*u**2 Let c = -17 + 22. Find the first derivative of -6*m**4 - 22*m**4 - 5 + c*m**4 wrt m. -92*m**3 Let k(l) be the first derivative of l**6/3 + 3*l**4/4 - 4*l + 19. Let t(g) be the first derivative of k(g). Find the third derivative of
{ "pile_set_name": "DM Mathematics" }
v = 1 + -1. Let j = -4.01 + 0.01. Which is the closest to v? (a) -0.2 (b) d (c) j a Let d = 13 - 13.06. Let u = d + 0.16. Let p be (0/2 - -2)/(-1). Which is the nearest to u? (a) -0.1 (b) p (c) -2/7 a Let n = 241/5 - 49. Let z be 1 - 0/(-4) - 0. Suppose -9 = -g + 4*k + k, k + 5 = g. Which is the closest to z? (a) g (b) 2 (c) n b Let l = -0.51 + -0.49. What is the nearest to -2/5 in 3, l, 2? l Let w = 28.1 - 28. What is the closest to -1 in w, -2/9, 1? -2/9 Let p be (4/(-10))/(9/(-5)). Let q be (-1)/(-3)*0/1. Suppose -v + q + 1 = 0. What is the nearest to v in -3, p, 2? p Let q = 2 - 5. Let s = q + 2. Let y = 1.4 + s. What is the closest to 1 in y, 2, -4? y Let h be 2/10 - 2/((-20)/(-42)). What is the closest to 1/5 in h, -0.5, 2? -0.5 Let t = 112 + -225/2. Let d = -0.02 + 2.02. What is the nearest to -0.1 in 0.2, t, d? 0.2 Let x = 38 + -38. What is the closest to -36 in 0.3, x, 2/13? x Let t be 1*-3*1494/27. Let d be 6/(-9)*6/t. Let p = d + -253/166. Which is the nearest to -1? (a) 5 (b) p (c) -5 b Let g be ((-132)/(-45) - 3)/(1/3). What is the nearest to -1 in g, 0.3, -1/2? -1/2 Let o(i) = i - 4. Let f be o(5). Let l = -2.9693 - 0.0407. Let m = l + 0.01. Which is the closest to f? (a) -4 (b) m (c) -5 b Let k = 0.01 + -0.11. Let c be (-30)/(-25) + (-2)/10. What is the nearest to k in -2, c, -5? c Let h = 4.6 - -1.4. Let r = -7 + h. Let v = 3/28 - -47/84. Which is the nearest to v? (a) 0.1 (b) r (c) 0.2 c Let w be ((-2)/(-3))/((-18)/(-135)). Which is the closest to 1? (a) 0.3 (b) -2 (c) w a Let p = 0.6 - 4.6. What is the closest to 2/3 in p, 4/3, -2/5? 4/3 Let o = -4 + 3.7. Let l(s) = s**3 - 2*s**2 + 2*s. Let q be l(2). Which is the nearest to 1? (a) q (b) 2/7 (c) o b Suppose -o = -u - 5, 2*o = -0*u - 4*u - 2. Suppose y - 4*q - 21 = q, -3*y = o*q + 9. What is the closest to -2/3 in y, -2/7, 0.1? -2/7 Suppose 2*k = 8, 0 = 4*w - 0*w + 2*k - 28. What is the closest to -2/7 in -2, w, 0.4? 0.4 Let s = 1/164 - -10/41. Which is the nearest to -2/7? (a) 4/5 (b) -0.3 (c) s b Let i = 12 + -9. Let g = i + 0. Let x = 0.3 - 0.4. What is the closest to x in g, 2, -3/7? -3/7 Let y = 0.25 + -0.15. Let o = 0.9 - -0.1. Let p = -8 - -3. What is the closest to y in o, p, 2? o Let g be (-30)/9 - 4/(-12). Suppose 3*p + 2 = 2*p. Let v be p - -1*3 - 1. What is the closest to -0.1 in 1/5, v, g? v Let d be 1/(-2) - (-10)/(-12). Let u be (26/(-6) + 1)*(-240)/(-160). What is the closest to 2/7 in d, u, 2/23? 2/23 Let h be (-4)/(-3)*32/64. What is the nearest to -1 in 1/4, -15, h? 1/4 Let f = 36.3 - -6.1. Let h = f - 38. Let w = h + -4. What is the closest to -1 in 4, -1, w? -1 Let g(i) = -2*i**2 + 5*i**2 - 2*i**2. Let b be g(3). Let x = 13 - b. What is the nearest to 0.2 in x, 1/3, -4? 1/3 Suppose 2*i + 4*a = -18, -2*a + 2 = -4*i - 14. Let d be -1*1 + (0 - -8)/8. What is the nearest to 1 in -2/3, i, d? d Let f = 1267/9 - 141. Let r(w) = w**3 - 2*w**2 - 3*w - 1. Let h be r(3). Let d = 1 + h. Which is the closest to -1/4? (a) d (b) f (c) -4 b Let w be (-4)/(7/(2/(-2))). Let u(z) = -z + 6. Let j be u(5). Let x be 0/j - (-3)/(-6). What is the nearest to x in -4, -3/4, w? -3/4 Let s be (-5)/7 - (-18)/27. Let p = s - -5/7. Which is the nearest to 2/3? (a) p (b) 2/9 (c) 1 a Let t = 3.9 - -0.1. Which is the nearest to -1? (a) -4 (b) t (c) 1 c Let k = 61/14 - 20/7. What is the closest to 1 in k, -0.1, 13? k Let z = 0.1 + -0.1. Let k = 207.1 - 207. What is the closest to z in -3, 5, k? k Let l be (16/(-24))/(10/(-3)). Let h = 2 - 2.3. Which is the nearest to -1? (a) -5 (b) l (c) h c Let z = -55504/1099 - 33/157. Let q = -51 - z. Let d be 2/4 + -1 - -2. Which is the closest to q? (a) 2 (b) 4/3 (c) d b Let y = -21 - -24. Which is the nearest to -1/2? (a) -1/7 (b) 4 (c) y a Let x be 1 + 172/(-36) + 4. Which is the nearest to 2/7? (a) 0.2 (b) x (c) -5 b Let g be 0 - (-4 - (-84)/20). Let x = -0.05 - 0.05. What is the nearest to x in 0.3, 3/8, g? g Suppose -5*d = -d. Suppose -2*l + 15 = 5*j + 3, 0 = -j + 4*l + 20. What is the nearest to 0.1 in d, j, 5? d Let i be -2 + 1 + 2 - (-231)/(-189). Let z = -0.1 + 0.2. Which is the closest to z? (a) 0 (b) i (c) 5 a Let p = -0.1 + 0.3. Let c = -3 + 7. Let o(u) = -u**3 + 4*u**2 - 5*u + 4. Let q be o(3). What is the nearest to -0.1 in c, q, p? p Let r(m) = m**3 + 18*m**2 - 18*m + 16. Let f be r(-19). What is the closest to f in 0.3, 3, 2/7? 2/7 Let y = -33 + 32.8. What is the nearest to y in -3/7, 4, 0.4? -3/7 Let t be (3 - -1)*(-12)/84. Let j = -0.1 - 0.9. Which is the closest to -0.1? (a) 4 (b) t (c) j b Let h = 15 + -19. Let k = -1.5 + 0.5. Which is the closest to 1/3? (a) h (b) -3 (c) k c Suppose -8*m + 0 + 8 = 0. Which is the nearest to m? (a) 2/3 (b) -3/4 (c) -0.2 a Let k = -1 - -1.1. Suppose 4 = -4*q + 3*q. Which is the closest to k? (a) -5 (b) -3 (c) q b Let u = -0.3 + 0.1. Let g = 0.8 + -0.9. Let i = u - g. Which is the nearest to i? (a) -5 (b) -1 (c) 5/2 b Let d = -0.15 + -0.05. Let r = -2 - 0. What is the nearest to d in r, 2/13, -4? 2/13 Let a = -47/285 - 2/57. What is the nearest to -0.1 in a, -3/4, -5? a Let b = 16 - 15.8. Let m = -0.6 - -0.2. What is the nearest to -1 in b, m, 0.1? m Let x = -2.75 + 3. Let u = -0.25 + x. Which is the nearest to u? (a) -0.3 (b) -0.4 (c) -4 a Suppose 0 = z - 2*z. Let m = -0.4 - 0.6. Let s = -0.4 + 0. Which is the closest to m? (a) s (b) z (c) 2 a Let h = 0.004 - -0.036. Suppose 0 = -3*z - 2*q + 5*q + 15, -8 = 2*q. Which is the nearest to 0? (a) z (b) h (c) 2/7 b Let o = 0.3 - 0.2. Suppose -3*k - 11 - 4 = 0. Let y(z) = 2*z + 6. Let j be y(k). What is the closest to o in j, 0.4, 0? 0 Let p = -30 - -27. Let s = 0.9 - -0.1. Which is the nearest to p? (a) 3 (b) 0 (c) s b Let q be 4/2*(-14)/4. Let f = q - -7. Suppose p - 2*z + 10 - 3 = f, 5*z - 19 = 4*p. Which is the nearest to 1? (a) p (b) 0 (c) 0.4 c Let d = -8 - -4. Suppose -5*p = 96 - 26. Let j be 26/6 - p/21. What is the nearest to 1 in d, j, -1/2? -1/2 Let m = -0.236 - -0.036. What is the nearest to -2/7 in -1/2, m, 0.5? m Let x = 2.9 - 3. Let q = -30.1 + 30. Which is the closest to q? (a) x (b) -0.5 (c) -3/4 a Let o be -5*(-15)/27 + -3. What is the nearest to 0 in o, 2, 2/3? o Let o = 15 - 21. Let u = -7 - o. What is the closest to 2/5 in 0.1, u, -5/4? 0.1 Let v(n) = -n + 4. Let l be v(6). Let m = -32/3 + 11. Let o be 3*(-1 + 8/7). Which is the nearest to m? (a) 0 (b) l (c) o c Let v(a) = -a + 5. Let p be v(7). Let h be (-1)/(1*p - 1). What is the nearest to h in -3, -0.5, 3/5? 3/5 Let a = 9 + -5. Let d = a - 9. Let g be 4/63 - (3 + (-58)/18). What is the closest to 1 in d, g, 2? g Let l = 169 - 164. Let x = 0.45 - 0.05. What is the nearest to 1 in x, l, 1/3? x Let s = -4 - -11. Let v(h) be the third derivative of -h**6/120 + 7*h**5/60 - h**4/24 + 2*h**3/3 + 2*h**2. Let l be v(s). What is the nearest to 0 in -1, l, -5? -1 Let w = 1 + -0.9. Suppose 24 = -5*u + u - 4*p, 4 = -p. Which is the nearest to u? (a) -2 (b) -0.3 (c) w a Let l = -1/3196 - 150117/303620. Let c = 2/19 - l. What is the nearest to 0 in c, -0.4, -2? -0.4 Let n be 11/44 + 0/2. What is the closest to 3 in 5, -1/3, n? 5 Let t = 51/2 + -25. What is the nearest to 0 in -5, 3/2, t? t Let m = -1.27 - 0.73. Let t = 0.7 - -0.3. Which is the nearest to t? (a) m (b) -3 (c) 2/5 c Let q = 1.8 - 1.9. What is the nearest to q in 2, 2/5, -1? 2/5 Let k = 5/16 - 1/16. Let v = 76 - 75. Let d = 0.35 - -0.05. Which is the closest to k? (a) 2 (b) v (c) d c Let k(u) = -2*u + 21. Let t be k(8). Which is the closest to 0? (a) 0.4 (b) t (c) -1/7 c Let q = -3 + 2. Let z = -0.2 + 0.1. Let c(y) = y**3 - 16*y**2 + 14*y + 19. Let u be c(15). What is the closest to q in -3, u, z? z Let k = -7 - -12. Which is the closest to -1? (a) -5 (b) -2 (c) k b Let r = 0.52 - 0.02. Let u = 39 + -40. What is the nearest to u in 1, r, -4? r Let o(g) = g**2 - 4*g - 5. Let l be o(5). Let m = l - -2. Let t = 23 - 23. Which is the closest to 0? (a) 5 (b) m (c) t c Let j(o) = o**3 - 13*o**2 - o + 12. Let t be j(13). Let v = -4.04 - -0.04. Which is the closest to -1? (a) 3/2 (b) t (c) v b Let y = 0.03 + -1.03. Let j = 3 - 10/3. Which is the nearest to j? (a) y (b) 0 (c) -0.5 c Let n = 415058569/645 - 643501. Let v = 2/215
{ "pile_set_name": "DM Mathematics" }
be y(-3). Let z(q) = q**2 - 2*q - 1. Is 4 a factor of z(g)? False Suppose 0 = w - 4*w + 45. Is w a multiple of 15? True Is (6 - 0)*(10 + -6) a multiple of 24? True Suppose s - 36 = -2*n - s, 4*n - 3*s - 58 = 0. Is n a multiple of 4? True Let y(n) = 5 + 2*n + 2 + 6*n**2 + 0 - n**3. Does 16 divide y(6)? False Let w = -2 - -2. Suppose -r - r + 123 = -5*c, -5*r + 3*c + 279 = w. Does 21 divide r? False Let x(f) = -2*f**3 - 5*f**2 - 2*f + 3. Let m(k) = 2 + 2*k - 4*k + 3*k. Let n be m(-5). Does 6 divide x(n)? True Let f be 0*(6/(-4))/(-3). Suppose -4*g - g = -5*r + 90, r + 4*g - 38 = f. Does 11 divide r? True Suppose -k - 496 = -5*u, u + 4*k = 2*k + 108. Suppose -2*t - 3*j = -0*t - u, -3*t - 3*j = -153. Is t a multiple of 13? False Let c(z) = 41*z + 4. Let r be c(-3). Is (-1462)/r - (-2)/(-7) a multiple of 6? True Let g = -27 + 27. Suppose 14*b - 10*b - 44 = g. Is 6 a factor of b? False Suppose 16 = -v + 5*v. Suppose -6*x + v*x = -60. Does 15 divide x? True Is 5 + (-33)/6 - (-126)/4 a multiple of 11? False Suppose -2*g = -227 - 17. Is g a multiple of 31? False Suppose 4 - 17 = -3*n - z, -5*z = -n - 17. Let p(g) = -3 - g**n + 2*g + 0*g**3 + 0*g**3 + 6*g**2 + 1. Is 5 a factor of p(6)? True Let s be 0 + (-4 - 3 - -4). Is -138*(-2 + (-5)/s) a multiple of 7? False Let p be 0/(-1) + 3 + -1. Let j be p/(-7) - 30/(-7). Suppose -a - 15 = -j*a. Is a a multiple of 3? False Suppose 7*j = 3*j. Suppose 4*d = v + 10 + 169, j = d - 4*v - 41. Does 17 divide (-304)/(-9) + 10/d? True Suppose -3*x + 5 + 4 = 0. Suppose -x*b + 19 + 38 = 2*s, -5*s + 175 = b. Suppose 0 = 5*v + o - 218, v - 5*o + s - 90 = 0. Is 15 a factor of v? False Let m(a) be the second derivative of 5/6*a**3 + 0 - 2*a - 1/2*a**2. Is 8 a factor of m(5)? True Suppose 0 = 5*d - 2*g - 172, -2*g + 92 = 2*d + 3*g. Suppose -5*w = 4*o - 48, 0 = -o + 5*o + 2*w - d. Does 7 divide o? True Let u(s) = -s**3 + 6*s**2 + 9*s - 9. Let g(m) = m + 13. Let a be g(-6). Does 5 divide u(a)? True Let o be ((-6)/1)/((-1)/(-3)). Let h = o + 28. Is h a multiple of 5? True Let x be 2/11 - (-581)/11. Let k(f) = -f**2 - 3*f - 2. Let a be k(-2). Suppose a = 2*p + 3*c - x, 2 = 2*c. Is p a multiple of 9? False Let b(u) be the second derivative of u**5/20 - u**4/2 - u**3 - u**2 - u. Let p be b(7). Let r = p + 26. Is 15 a factor of r? False Let w(m) = -m**2 + 8*m + 5. Let r be w(7). Let p be ((-7)/(-14))/(2/r). Suppose -p*o - 4*i + 6 = 0, 4*o - i - 15 = -4*i. Does 3 divide o? True Let d = -37 - -92. Is 24 a factor of d? False Suppose -4*o = -87 + 11. Is o a multiple of 19? True Suppose 14*a + 91 - 287 = 0. Is a a multiple of 7? True Suppose z = 2*z + 6. Let r(h) = -4*h + 3. Let v(o) = 35*o - 28. Let t(a) = 28*r(a) + 3*v(a). Is t(z) a multiple of 19? False Let v(a) = 7*a**2 + 10*a + 5. Does 7 divide v(-4)? True Suppose 11*x = -4*y + 13*x + 942, 4*y - 4*x - 932 = 0. Does 31 divide y? False Is 13 a factor of ((-1)/(-1))/(((-21)/7)/(-273))? True Let o = 2 + -2. Suppose 4*g + 17 = 5*b, 0*b - 3*b + 2*g + 9 = o. Let w(u) = 22*u**3 - u + 1. Does 11 divide w(b)? True Suppose 0 = 9*w - 104 + 23. Is 5 a factor of w? False Suppose -4*p + 178 = -2*w, 2*w = 2*p - 3*p + 52. Is 15 a factor of p? False Suppose -13*a - 32 = -17*a. Is a a multiple of 8? True Let r = 144 + 3. Is 7 a factor of r? True Suppose 85 = 3*f - 65. Is 25 a factor of f? True Let v(h) be the first derivative of -h**4/4 - 2*h**3 - 2*h**2 - 9*h + 2. Is 15 a factor of v(-6)? True Let p = 2 - 0. Let i(r) = -r. Let x be i(-2). Is 3 a factor of (-3 - p)*(-2)/x? False Suppose -5*o = -2*o - 15. Suppose 0 = -f - 4*f - 5, t + o*f = 18. Is t a multiple of 18? False Let o(p) = p + p + 2 + 0. Is 10 a factor of o(9)? True Let z = -16 + 24. Does 2 divide z? True Suppose 2*i - 28 = 42. Suppose 3*t = -2*t + i. Does 4 divide t? False Let r(j) be the first derivative of -j**5/30 + j**4/24 + 4*j**3/3 + 2. Let a(o) be the third derivative of r(o). Is a(-2) a multiple of 9? True Is 10 a factor of (-1590)/(-9) - (4 - (-30)/(-9))? False Suppose 0 = -5*p - 4 + 114. Let w = p + -10. Does 12 divide w? True Let q = -41 + -5. Let p(u) = -79*u - 1. Let a be p(-1). Let w = a + q. Does 16 divide w? True Let p be (-2)/(-3) - (-20)/15. Suppose p*f + f + 2*i = 87, -i - 158 = -5*f. Let s = -18 + f. Does 7 divide s? False Let n(v) = -v**2 + 3*v. Let k be n(2). Does 2 divide 0 + 22/k + -2? False Let u = 16 + -9. Is 2 a factor of u? False Let j(a) = -7*a + 9. Let l be j(7). Let g = 66 + l. Does 9 divide g? False Suppose -5*w + 0*w + 10 = 0. Let l = 8 - w. Suppose 0 = -3*q + l*q - 9. Does 3 divide q? True Suppose -l + 4*m + 2 - 52 = 0, 5*l - 3*m = -301. Let s = -26 - l. Is s a multiple of 12? True Let d(b) be the second derivative of 5/3*b**3 + 0 - 1/12*b**4 - 4*b**2 - 4*b. Does 5 divide d(7)? False Let f = -5 + 26. Is f even? False Suppose -5*k - 365 = -2*r, 4*k + 20 = 8*k. Does 29 divide r? False Let n(i) = i**2 + 6*i - 10. Let k be -2*5 - (1 + -3). Is n(k) a multiple of 3? True Let n(a) = -14*a - 10. Is n(-4) a multiple of 23? True Let h(t) = -t**3 + 8*t**2 + 2*t + 40. Does 28 divide h(8)? True Let z(b) = -4*b + 21. Is z(-6) a multiple of 15? True Does 28 divide 200/4 + 4/(-2)? False Suppose -69 + 53 = -s. Is s a multiple of 2? True Let h(i) = i**3 + 5*i**2 - 2*i - 6. Let a be h(-5). Suppose 0 = -0*t + a*t - 32. Does 6 divide t? False Let f = 14 - 10. Suppose 2*r - 3 = -f*b + 39, -12 = -4*r. Is 9 a factor of b? True Let g(o) = 17*o - 1. Let x = -2 - -5. Suppose 2 = -v + x. Does 16 divide g(v)? True Suppose v = -4*b + 198, -3*v - 2*v + 40 = b. Does 21 divide b? False Suppose -1 = q - 78. Does 36 divide q? False Let b(u) be the first derivative of 2*u**3 - u**2/2 - 2*u + 2. Suppose 2*h = -l + 3*l - 14, l = 3*h + 17. Is 11 a factor of b(l)? False Let q(b) = 27*b - 16. Is 33 a factor of q(9)? False Let o = 4 - 3. Let x(s) = 7*s**3 - 2*s**2 + 4*s - 1. Let l(n) = -21*n**3 + 7*n**2 - 13*n + 3. Let h(j) = 2*l(j) + 7*x(j). Is 8 a factor of h(o)? True Let t(x) = -x**2 + 11*x + 8. Let a be t(12). Let b(c) = -4*c - 6. Is 5 a factor of b(a)? True Suppose -q + 18 = q + k, -75 = -5*q + 5*k. Does 2 divide q? False Let v(j) = 9*j**3 - 2*j**2 - j. Is v(2) a multiple of 31? True Suppose -426 = 6*p - 3*p. Let i = -97 - p. Does 15 divide i? True Let z(d) = -3*d - 6. Does 5 divide z(-12)? True Let n = 177 - -16. Is n a multiple of 45? False Suppose 3*f - 12 = 2*c - 38, 3*c - 33 = 3*f. Suppose -3*v = -c*v + 12. Is 3 a factor of v? True Suppose 138 = g - 5*o, 2*g - 305 = -5*o + 1. Is 24 a factor of g? False Suppose o + 3*d = 3*o - 11, 4*d - 16 = -5*o. Suppose o*u = 5*u. Suppose u = -s - 3*s + 72. Is s a multiple of 18? True Let c(a) be the second derivative of a**6/120 - a**5/40 - a**4/12 + a**3/6 - 3*a. Let m(x) be the second derivative of c(x). Does 13 divide m(4)? False Suppose -n + 3*n - 4*o - 64 = 0, -3*o = -4*n + 123. Is n a multiple of 10? True Let y = 70 + -38. Is 22 a factor of y? False Suppose 0 = -3*q + q + 34. Is 5 a factor of q? False Let o(j) be the third derivative of -j**4/8 + 3*j**3/2 + 2*j**2. Is o(-8) a multiple of 11? True Let c = 4 + -2. Suppose -4*j = -6*j + 6. Let d = j + c. Is d a multiple of 2? False Let s be (-4)/(-6) + 24/18. Suppose 0 = x - 0*x - 2*u - 22, -3*x - s*u = -98. Is x a multiple of 15? True Let f be (-1)/(-2) - (-18)/(-4). Let b = 9 + f. Suppose 0 = b*d + 3*m - 60, -m + 36 = 3*d - 4*m. Does 12 divide d? True Let a(t) = -t**3 - 12*t**2 + t + 17. Let w be a(-12). Suppose 0*j - w*j + 121 = 4*r, -4*j + 64 = -5*r. Does 7 divide j? True Suppose 3*u = -u - 16, -3*t + 83 = u. Suppose -5*r + t + 56 = 0. Does 16 divide r? False Suppose -2*d = 3*q - 9, 0*q = -d + q + 2. Suppose 0 = t + 2*t - 5*y - 6, -4*y - 6 = -d*t. Does 3 divide (-1)/t - (-70)/20? True Suppose 5*b = 2*i + 2 + 20, -b - 4*i = -22. Suppose -b = -3*k - 0*k. Is k even? True Let o(u) = 6*u + 4. Does 7 divide o(4)? True Let n = -10 + 15. Suppose n*v + l - 365 = 0, -5*v + 4*v + 52 = -4*l. Is v a multiple of 12? True Let w = -13 + 18. Is 5 a factor of w? True Let l(q) = q**2 - 4*q - 6. Let b be l(6). Suppose -b*s = -4*s - 18. Is 4 a factor of s? False Suppose -2*u + 38 = -4*u. Let c(j) = j**3 - j**2 + j - 2. Let y be c(0). Is 9 a factor of (-2 - u - 1) + y? False Suppose 8*p = -8*p + 3696. Does 13 divide p? False Let s(t) = -t**3 + 7*t**2 + 4*t + 8. Le
{ "pile_set_name": "DM Mathematics" }
51 is divided by 4/16 - 1*103/u? 25 Let j be ((-16)/24)/(2/(-6)). Suppose -j*f + 0*f = -8. Suppose -4*y - 139 = -82*y + 563. What is the remainder when y is divided by f? 1 Let b = -21977 - -23355. What is the remainder when b is divided by 49? 6 Let u(j) be the second derivative of j**4/12 - 3*j**3/2 - 161*j**2/2 - 22*j. Let k(v) = 5*v + 3. What is the remainder when u(-11) is divided by k(4)? 13 Let s = 162 + -168. Calculate the remainder when 44 is divided by 21 + (-11)/(11/s). 17 Let y(s) = -3*s + 90. Let r(w) = w + 2. Let z(o) = 4*r(o) - y(o). Calculate the remainder when 71 is divided by z(14). 7 Calculate the remainder when 14/(-119) + (-8063)/(-187) is divided by 14. 1 Suppose 3751 = 7*n - 4285. Let c = -787 + n. What is the remainder when c is divided by 11? 9 Suppose -51 = -7*l - 898. Let d = l - -162. Calculate the remainder when ((-9)/(-1))/(3/26) is divided by d. 37 Suppose -21*n + 22*n = 121. Let s = n + -81. Suppose -u - 5*h = -s, -3*u = -u - h - 102. Calculate the remainder when u is divided by 20. 10 Let k(a) = a - 3. Let f(g) = 2*g**2 - 2*g + 2. Let p be f(-3). Let z = p - 23. What is the remainder when z is divided by k(4)? 0 Let u(k) = -2*k**3 - 3*k**2 + 3*k - 4. Calculate the remainder when -1*(-25 - (-26 - -28)) is divided by u(-3). 13 Let y = 29313 - 29291. What is the remainder when 51 is divided by y? 7 Suppose 190 = -31*i + 40*i - 1331. Calculate the remainder when 465 is divided by i. 127 Let y(z) = 2*z**3 - 12*z**2 - 2*z - 3. Let r be y(6). What is the remainder when 1*(-27)/r*5 is divided by 8? 1 Let w be (-2 + 60/25)/(1/(-20)). Let p = w - 98. Let m = -89 - p. What is the remainder when 65 is divided by m? 14 Let a = 44 - 30. Suppose -4*o + 2*r + 3 + 9 = 0, o = 3*r + 13. Calculate the remainder when -4 - -1*(112 + 1/o) is divided by a. 11 Let x = -5238 + 5375. Suppose 2*b - 5*b = -63. What is the remainder when x is divided by 3/(-2)*(-658)/b? 43 Suppose 162 - 4 = 4*w - 2*a, w - 4*a - 36 = 0. Calculate the remainder when 324 is divided by w. 4 Suppose i + 2*l + 3*l - 293 = 609, 0 = 3*l. What is the remainder when i is divided by 887? 15 Let u = 144 + -60. Let q = -265 + 265. Suppose 8*x - x - u = q. What is the remainder when 105 is divided by x? 9 Suppose -19*z + 5*z + 8*z + 1710 = 0. Calculate the remainder when 301 is divided by z. 16 Suppose 0*f + 16 = 2*f. Calculate the remainder when (-152)/(-133) - 1503/(-63) is divided by f. 1 Let w(s) = -2*s**3 - 73*s**2 + 40*s + 120. Let x be w(-37). Suppose -4*n = n - 10. Suppose 57 = n*k - x. What is the remainder when 96 is divided by k? 30 Let v = 5733 - 5726. Calculate the remainder when 1026 is divided by v. 4 Suppose 3*x - 34*r - 21 = -31*r, -31 = -5*x + r. What is the remainder when 41 is divided by x? 5 Let g = 183 + -162. Let m(y) = -6*y**3 - 36*y**2 + 12*y - 22. What is the remainder when m(-7) is divided by g? 20 Calculate the remainder when 208 is divided by 1953/15 + 2/(-10). 78 Suppose -9*o = 575 + 64. Let s = o + 68. What is the remainder when 83 is divided by (34/6)/(2/s + 1)? 15 Let j be (458/(-3))/((-8)/(-36)*-3). Let s = j + -207. Calculate the remainder when 34 is divided by s. 12 Suppose 38*h - 34*h + 72 = 4*z, -2*h - 64 = -4*z. Calculate the remainder when (2 - 1042)*z/(-35) is divided by 30. 26 Let k(i) = -20*i - 149. Let m be k(-3). Let x = m + 157. Calculate the remainder when 610 is divided by x. 66 Calculate the remainder when -1 - 24939/(-3) - (177 - 180) is divided by 22. 21 Let d = 7990 + -7802. Calculate the remainder when 594 is divided by d. 30 Suppose 0 = -k - 2*k - s + 18, -3*s = 2*k - 12. Suppose k*h = h + 255. Let g = h - -34. What is the remainder when g is divided by 11? 8 Suppose k - 2*i - 71 = 0, -4*k + 277*i - 276*i = -312. What is the remainder when 241 is divided by k? 4 Let n = 536 + -301. Let h(b) = 6*b**3 - 570*b**2 + 10*b - 869. Calculate the remainder when n is divided by h(95). 73 Let v(y) = -4*y**2 - 50*y - 20. Let p be v(-12). Suppose -p*n - 316 = -1100. What is the remainder when n is divided by 33? 31 Suppose -4*q + 4*u = -236, q + u - 1556 = -1513. Suppose 24 = y - 6. Calculate the remainder when q is divided by y. 21 Let g(m) = 36*m + 69. Suppose -36*c = -37*c - 1. Suppose 0 = -5*j - 0 + 30. Calculate the remainder when g(c) is divided by j. 3 Suppose 388*f - 37*f = -100*f + 256619. What is the remainder when 1720 is divided by f? 13 Suppose k = 5*v - 109, 5*k - k - 26 = -2*v. Let n(w) = 2*w**3 + 65*w**2 - 98*w + 145. What is the remainder when v is divided by n(-34)? 3 Suppose -84*g + 89*g + 3*l = 84, 3*g + 3*l = 48. What is the remainder when 302 is divided by g? 14 Suppose 4*d - 396 = -2*w, -2*d - 134 - 56 = -w. Let j(k) = -2*k**2 + 54*k - 93. Calculate the remainder when w is divided by j(25). 5 Suppose -k + 2*t = -94, 0*k - 5*t - 376 = -4*k. Suppose -4*y + k = 4*q - 22, 2*y + 67 = 3*q. Let o = q - -8. Calculate the remainder when 97 is divided by o. 31 Suppose -3*z = -5*q + 1145, -11*q + 913 = -7*q - 3*z. What is the remainder when q is divided by 60? 52 Let x(o) = -o**2 + 9*o. Let f be x(14). Let i = -46 - f. Calculate the remainder when (57/(-4))/(24/(-160)) is divided by i. 23 Calculate the remainder when 14*(-9 + (-26295)/(-105)) is divided by 8. 4 Let x be 1/(-8) + 207/(-8). Let n = 45 + x. Calculate the remainder when -54 - -57 - (-1 - (1 + 36)) is divided by n. 3 Let b = 108 - 56. Suppose 8*t - 9*t = 0. Suppose -4*q - x + 73 = 0, t*x = q + 5*x - 23. Calculate the remainder when b is divided by q. 16 What is the remainder when 787 is divided by 114 + 26 + -22 - -25? 72 Let z = -5817 - -5945. Calculate the remainder when 413 is divided by z. 29 Let a = 16176 - 16120. What is the remainder when 248 is divided by a? 24 Let r = 16 + 47. Let j = 413 - 413. Suppose j = -5*y + 213 - 133. Calculate the remainder when r is divided by y. 15 Let i = 574 + -321. Suppose h + 49 = z, -5*z + 0*h + i = -3*h. Let w = -22 + z. Calculate the remainder when w is divided by 16. 15 Let l(a) = -10*a + 149. Let o be l(12). Let h(d) = d**3 - 28*d**2 - 27*d - 50. Calculate the remainder when 26 is divided by h(o). 2 Let h(r) = -r**3 + 5*r**2 + 3*r + 1. Suppose 3*f = -a + 84 + 71, -4*f = 4*a - 620. Suppose -a*y + 162*y = 966. What is the remainder when y is divided by h(3)? 26 Suppose 7*o = 3*o + 20. Suppose o*g + 4*g = 684. Suppose -16*p = -20*p + g. What is the remainder when 35 is divided by p? 16 Let t(k) = -4*k**2 - 187*k - 238. Suppose 3*j = -i + 3, 5*j + 0 = 5*i - 15. Calculate the remainder when t(-45) is divided by (-3 + 0)*(-20)/i. 17 Let w = 264 - 80. Let b = -169 + w. Calculate the remainder when 70 is divided by b. 10 Suppose -4*z - 42 = -5*s - 234, -s = -4*z + 192. What is the remainder when z is divided by 31? 17 Let m = -170 - -166. Calculate the remainder when ((82 + m)/(-2))/(-1) is divided by 5. 4 Let n(t) = t**3 + 5*t**2 - t - 2. Let f be n(-4). Let b = -54 - -71. What is the remainder when ((-6)/f)/(2/(-402)) is divided by b? 16 Suppose -3*m + 219*x = 220*x - 367, -5*m = -2*x - 652. Let f(q) = q**3 + 8*q**2 - 2*q - 9. Calculate the remainder when m is divided by f(-7). 18 Let m(s) be the first derivative of 15*s**2/2 - 8*s - 8. Calculate the remainder when m(6) is divided by 33. 16 Suppose -5*j - 4*t + 773 = -749, 3*j - 916 = -t. Suppose 29*l + j = 31*l. Calculate the remainder when l is divided by 24. 9 Let v = -311 + 543. Suppose 4*s = 4*f + v, -5*s - 4*f = -7*f - 300. What is the remainder when s is divided by 11? 8 Let n(r) = r**2 + 71*r + 478. Calculate the remainder when 449 is divided by n(-64). 29 Let z(r) = -33*r + 6. Let t be z(2). Let h be (-15*3/t)/((-1)/12). Let c = h + 31. Calculate the remainder when 59 is divided by c. 15 Let j be (-11 - -14)*(-16)/(-6). Let r = 45 + j. Let w = 1 + 27. Calculate the remainder when r is divided by w. 25 Suppose -118*j + 178 = -114*j - 2*w, j - w = 43. Calculate the remainder when (-4)/(-20) + 1047/15 is divided by j. 24 Suppose 5*n = -3965 - 2665. Let s = 1930 + n. Suppose -5*u - 803 = -4*y, -5*y + 2*u = -2*y - s. Calculate the remainder when y is divided by 41. 38 Let f(k) = -k**2 + 12*k - 14. Let y be f(8). Suppose 0 = 15*o - y*o + 30. Suppose -69*t + 87*t = 54. Calculate the remainder when o is divided by t. 1 Let v = -9 - -9. Let m be (-4)/(9/(-7) - -1)
{ "pile_set_name": "DM Mathematics" }
89 - 2*n). -9*n + 54 Expand (4*f - 3*f - 2*f)*(-3 + 3 + 2)*(2*f - 2*f + 6*f)*(-3*f + 2*f - f + (-1 - 2 + 5)*(1 - 1 + 3*f)). -48*f**3 Expand (y**3 + y**3 - 5*y**3)*(4 - 4 - 5*y - y - 3*y + 2*y + y + 2 - 2 + (-1 + 4 - 1)*(-2*y + 0*y + 0*y) + 0 + 0 - 2*y + 0*y + y + y + 96 - 96 - 4*y). 42*y**4 Expand (-9*x + x - 4*x)*(24*x**3 - 13*x**3 + 21*x**3). -384*x**4 Expand ((4*l - l - 4*l)*(-l - 2*l + 2*l) - 4*l**2 + 5*l**2 + 0*l**2)*(-3 + 3 - 4*l). -8*l**3 Expand ((-2 + 2 + 2*p)*(1 - 2 - 2) - 9*p - 19 + 19)*(-3*p + 5*p - 4*p). 30*p**2 Expand (-2*w - 2*w + 0*w)*(-3*w**3 + w**3 + 3*w**3) - 10*w**4 + 8*w**4 + 4*w**3 + 29*w**3. -6*w**4 + 33*w**3 Expand (2*a - 2*a - a)*(-1 + 3 - 1) - 4*a + 13 - 13 - 13*a - 8*a + 6*a. -20*a Expand (-3 - 83*x - 90*x + 105*x)*(1 - 1 + 2*x**2). -136*x**3 - 6*x**2 Expand (-6*d**3 + 2*d**3 + 2*d**3)*(-d**2 + 4 - 12 + 1). 2*d**5 + 14*d**3 Expand (9 + 2 + 2 + (2 + 0 + 0)*(0 - 1 + 0))*(v**2 - v**2 + v**2). 11*v**2 Expand (1 + 2 - 5)*(-1 + 7 + 2 + (2 + 0 + 0)*(-1 - 4 + 4) + 1 + 4 - 4 - 3 + 4 + 0)*(7*o + 2*o + 158*o). -2672*o Expand (-4027 + 321*s + 4027)*(-3*s**4 + s**4 + 0*s**4). -642*s**5 Expand (-2 + 2 - 2*u)*(u - 1 + 1) + (3*u**2 - 3*u**2 + u**2)*(4 + 2 + 4) - 2*u**2 + 82 - 82 + 3*u. 6*u**2 + 3*u Expand ((-5*n**2 + 2*n**2 + n**2)*(0 - 1 - 1) + 0*n**2 - 2*n**2 + 4*n**2 + 0*n**2 + 5*n**2 - 3*n**2)*(1 + 4*n - 1 + (-2*n + 8 - 8)*(-1 - 3 + 2)). 64*n**3 Expand (43 + 184 + 136)*(2*s**2 + 2*s**2 - 3*s**2)*(2*s + 2*s - 3*s). 363*s**3 Expand (-30*d + 80*d - 32*d)*(3 + 1 + 4 + 1). 162*d Expand (-5*q + 6*q + q)*(-7 - 2*q**3 - 2*q + q + 6). -4*q**4 - 2*q**2 - 2*q Expand (3 + 18*z**2 + 92*z**2 - 5)*(-5*z**2 + 3*z**2 + 0*z**2). -220*z**4 + 4*z**2 Expand (15*u**2 + 17 - 14*u**2 - 16 - 8*u)*(6 - 6 - 7*u**3). -7*u**5 + 56*u**4 - 7*u**3 Expand (-2*t**3 + 2*t**2 - 2*t**2 + (4 - 4 - 3)*(-3*t**3 - 2*t**3 + 2*t**3))*(t**2 + 0*t**2 + 2*t**2). 21*t**5 Expand (-h + 2*h + 10*h)*(2*h**3 + 4*h**3 - 5*h**3) + h**4 + h**4 - 3*h**4 - h**4 + 95 + 2*h**3 - 2*h - 95. 9*h**4 + 2*h**3 - 2*h Expand (3 + 0 + 0)*(-i + 4*i - i) + 3*i - 2*i - 2*i - 14*i + 5*i + 7*i. 3*i Expand (-3*g**2 - 4*g**2 - g**2)*(21*g + 0*g - g). -160*g**3 Expand -3*s - 3*s + 7*s - 4 + 4 - s + (-5 + 1 + 3)*(-1 + 1 - 2*s) + 2*s + 0 + 0 - 381*s - 715*s + 459*s - 658*s. -1291*s Expand (-3*q**2 + 0*q**2 + 2*q**2)*(-5*q**2 + 0*q**2 + 4*q**2) - 669*q**3 + 667*q**3 - 738*q + 1698*q - 3*q**4. -2*q**4 - 2*q**3 + 960*q Expand (-45*t**3 + 45*t**3 - 2*t**2 - 16*t**4)*(-6*t - 5*t + 9*t). 32*t**5 + 4*t**3 Expand d**2 - 2*d**2 + 2*d**2 + (d + 4*d + 4*d)*(-d + d + 2*d) + (0 + 4 - 1)*(-d**2 + 0*d + 0*d). 16*d**2 Expand 2 - 2 + t + (2 - 2 + 2*t)*(2 - 3 + 3) + (-2 + 4 - 1)*(-2 + t + 2) + 2*t + 3*t - 3*t + (0*t - t + 2*t)*(-2 - 4 - 2) - 2*t - t + 0*t. -3*t Expand -6*b**4 - 22*b**4 + 4*b**4 + (b + b - b)*(5 + 2*b**3 - 5). -22*b**4 Expand (-3 - 1 - 1)*(-2*q + 2*q**5 - 2*q**5 - q**5) - 3*q**5 + 3*q**5 + 8*q**5. 13*q**5 + 10*q Expand (3*a - 2*a + 0*a + 4*a - 5*a - a + (-5 + a + 5)*(-5 - 1 + 4) + 3 - 2*a - 3 - 7 + 7 - 2*a)*(1 + 1 - 1)*(2*a**2 - 2*a**2 + a**2) - a**2 - 3*a**3 + a**2. -10*a**3 Expand (4*g + g - 2*g + (-g - g + 4*g)*(4 - 3 + 1))*(-1 + 1 + 2*g)*(-9*g - 6*g - g). -224*g**3 Expand (-2*z**2 + 0*z**2 + z**2)*(-6*z**2 + 3*z**2 - z**2) + (-3*z**3 + 6*z**3 + 3*z**3)*(-3*z + 0*z + 2*z)*(-4 - 1 + 4). 10*z**4 Expand (0*q + 2*q + 0*q)*(0*q**2 - 8*q**2 + 0*q**2)*(-195 + 195 + 23*q). -368*q**4 Expand 7*i**4 + 173*i**3 - 2 - 173*i**3 + (-2*i - 4*i - i)*(-3*i**3 - 2*i**3 - 4*i**3) - 2*i**4 + i**4 + 2*i**4. 71*i**4 - 2 Expand (-2 + 4 + 0)*(1 - 1 + 2*i) + 14669 - 14669 + 125*i. 129*i Expand (-4*k + k**3 + 4*k**4 + 175 - 175)*(0 + 0 + 1). 4*k**4 + k**3 - 4*k Expand (4 + 1 - 27)*(-7*s + 2 + 9*s - s). -22*s - 44 Expand (-53*w + 53*w - 42*w**2)*(57 + 8*w - 57). -336*w**3 Expand (3*z**2 + z**2 - 2*z**2 + (1 - 1 + 2*z)*(0*z + 0*z + 2*z) - 5*z**2 + 0*z**2 + 3*z**2 + (-5*z + 3*z - 6*z)*(-2*z + 2 - 2))*(11 - 5 + 4). 200*z**2 Expand (0*w - 8*w + 2*w)*(-1 + 6 - 2)*(19 - 19 - 7*w**4). 126*w**5 Expand 191 + 9*u - 42*u + 34*u + 0*u + 0*u + u + (2 - 3 + 3)*(2*u + 2 - 2) - 7*u + 3*u + 3*u. 5*u + 191 Expand (-a - 3 + 3)*(-8*a + 7*a + 12*a) + (2*a + a - 5*a)*(6*a - 5 + 5). -23*a**2 Expand ((2*s + 6*s - 6*s)*(1 - 2 - 1) + (-1 - 1 + 0)*(0*s + 2*s + s) - 5 + 5 - s)*(-4*s**2 + s**2 - s**2). 44*s**3 Expand -2*n**5 + 2 - 2 + (n**2 + 2*n**2 - 2*n**2)*(-n**3 + 7*n**3 + 5*n**3) + (-4*n**3 + 3*n**3 + 2*n**3)*(10*n - 10*n - n**2). 8*n**5 Expand (g - 11 + 7*g - 7*g)*(-5 + 8 + 1). 4*g - 44 Expand -2*r**3 + 0 + 0 + (21*r**2 - 4 + 4)*(2*r + r - 2*r + (-2*r - 2 + 2)*(0 + 1 - 2)). 61*r**3 Expand (-p - 3*p + 2*p)*(144 + 74 - 76). -284*p Expand 1016 - 2033 - 108*f + 1015 + (f - f - 2*f)*(-2 + 4 - 1) + 0 - f + 0. -111*f - 2 Expand -6*t**2 - 3*t**5 - 3*t**5 + 7*t**5 + (2*t + 0*t - t)*(t**4 + 4*t**4 - 4*t**4) + 3*t**3 + 2*t**5 - 3*t**3. 4*t**5 - 6*t**2 Expand (4*t**2 + 0*t**2 - 3*t**2)*(3*t**2 + t**2 + 4*t**2) + 6 - 11 + t**2 - t**4 + 7. 7*t**4 + t**2 + 2 Expand -3 + 3 - f + (-3 - 6 - 3)*(0*f + 2*f + 0*f)*(5 - 1 - 5). 23*f Expand (-4 - 3 + 4)*(0*g**4 - 3*g**5 + 0*g**4) + 13*g + g**5 - 12*g + 0*g**5. 10*g**5 + g Expand -t**5 - 4*t**5 + 3*t**5 + (-3*t**3 + 7*t**3 - 3*t**3)*(4*t**2 + 2*t**2 - 5*t**2) - t**5 - 8*t**5 + 2*t**5. -8*t**5 Expand (0 - 4 + 2)*(5 - 5 - 2)*(g**2 - 3*g**2 + 5*g**2) - 2*g**2 - 3*g**2 + 3*g**2 + (-2*g + 3*g + 8*g)*(g - 3 + 3). 19*g**2 Expand (-16*y**4 + 48*y**4 + 23*y**4)*(-3*y - y + 3*y). -55*y**5 Expand (0 - 1 + 2)*(-67*r**4 - r**4 - 17*r**4) + (0*r**2 + 0*r**2 - r**3)*(-r - 3*r + 2*r). -83*r**4 Expand (-1 + 1 - 2*p + 3*p + p - 5*p + (1 - 1 + 1)*(-4*p + 3*p - p) + 0*p + 0*p + p + 0*p + 2*p - 4*p + p + p - p - 4*p + p + p)*(6*p + 137*p - 30*p). -791*p**2 Expand (-1 - 2*c**2 + 1)*(6277 - 136*c - 6277)*(0 + 0 - 1). -272*c**3 Expand (3 - 4 + 2)*(-5 + 4 - 1)*(38*s - 279 + 279)*(-s - 2*s + 2*s). 76*s**2 Expand (1 - 1 + 2*r**2 + (r + 2*r - 2*r)*(-2*r + 3*r + r))*(1 - 5 + 0). -16*r**2 Expand (-6*h + 4*h + h)*(-3*h - h + 2*h) + 8*h**2 + 2*h**2 + 16*h**2. 28*h**2 Expand (-4 + c + 3 - 2*c)*(0*c - 3*c**2 + 0*c) - 58*c + 58*c - 15*c**3. -12*c**3 + 3*c**2 Expand (-7*j + 23 + 2*j + 7*j)*(0 + 28 - 12). 32*j + 368 Expand (-b**4 + 5*b**4 - 2*b**4)*(3 + 4 - 5) + 2*b - 2*b - 2*b**4 - 2*b**4 + b**4 + 0*b**4 + (2*b - 5*b + b)*(-3*b**3 + 2*b**3 - b**3). 5*b**4 Expand (1542 - 2225 + 1126)*(2*z + 0*z - z). 443*z Expand (1063 + 95*s**2 - 1063)*(3*s**3 - 3*s**3 + s**3). 95*s**5 Expand (2*b + 0*b + 0*b)*(-8 - 8*b - 5*b + 15*b + (-2 + 2 + 5*b)*(0 + 4 + 0)). 44*b**2 - 16*b Expand (v - v + 2*v + 6*v - 2*v - 2*v + (2*v - v - 2*v)*(2 - 4 + 1))*(-v + 12*v - 2*v). 45*v**2 Expand -1 + 1 - 2*q**2 - q + q + q**2 - q**2 + 3 - 3 + (-2*q + 3 - 3)*(q - 3*q + 3*q) + (0*q - 9*q + 2*q)*(-2*q - 2*q + 3*q) - 94*q**2 + 231*q - 231*q. -91*q**2 Expand (0*w - 6*w + 0*w)*(-22 + 24 - 3*w + 41). 18*w**2 - 258*w Expand 734 - 734 + 52*u**3 + (0*u**2 + u**2 + u**2)*(1 - 2*u - u + 2*u). 50*u**3 + 2*u**2 Expand -2*b**3 + 6*b**3 - b**3 + (2 - 19 - 1)*(b**3 - 2*b**2 + 2*b**2) + 2*b - b**3 - b + 3*b**3. -13*b**3 + b Expand (-2*v + 1 - 1 + 1)*(-3166*v + 187*v - 215*v + (3 + 2 - 4)*(v - 4*v + v)). 6392*v**2 - 3196*v Expand (-4*l**4 + l + 16*l**3 - 17*l**3 + 14*l**4)*(l + 1 - 1). 10*l**5 - l**4 + l**2 Expand (3*i + 10*i - 4*i)*(14*i**4 + 2*i**4 - 8*i**4 + 2). 72*i**5 + 18*i Expand (0*a + 3*a - 5*a)*(113 - 113 - 24*a)*(-5*a + 2*a + a). -96*a**3 Expand 0 + 2*u**2 + 0 + (2*u - 2 + 2)*(-2 + 2 + 3*u) - 10*u**2 - 2 + 2 + (0*u**2 + 6*u**2 - 4*u**2)*(0 - 4 + 1). -8*u**2 Expand -181*f - 127*f**2 + 181*f + (2*f - 3*f + 0*f)*(-2*f + 2*f - 3*f). -124*f**2 Expand -64*b + 36*b - 24*b - 6*b + 2*b + 2*b + 1 - 1 + 2*b + (-2*b - 3 + 3)*(1 - 1 + 2) + 2*b + 0*b - 4*b. -58*b Expand (-x**2 + 0*x**2 - x**2)*(-5 - 1 + 4) + 4444*x**2 - 3343*x**2 - 2489*x**2. -1384*x**2 Expand -4*b + 2*b + b - 4*b + 4*b + b + (0 - 1 + 0)*(-2*b + 1 - 1) + 2*b + 2 - 2 + 0*b + 2*b - 3*b + 52*b - 71*b + 158*b + (4*b - 2*b - b)*(-4 + 2 + 3). 143*b Expand 24*q**3 - 44*q**3 - 41*q**3 + (-2*q - 2*q + 2*q)*(q**2 + 5*q**2 - 3*q**2). -67*q**3 Expand (0*n**2 + 0*n**2 - n**2)*(-2 - 9 - 1 - 12). 24*n**2 Expand 2368*r**5 - 4379*r**5 + 2475*r**5 + (-3*r**5 + 0*r**5 + r**5)*(0 + 5 - 4) + r**5 + 2*r**5 - r**2 - 2*r**5. 463*r**5 - r**2 Expand 0*u**5 - 5*u**5 + 3*u**
{ "pile_set_name": "DM Mathematics" }
33 Solve 1489 = 2*l + 1497 for l. -4 Solve 450 + 590 = -90*x - 130 for x. -13 Solve -1042*y = -1106*y + 1600 for y. 25 Solve -702 = 21*b - 492 for b. -10 Solve -65*k - 70*k = -129*k - 90 for k. 15 Solve -1140 = -176*v + 404*v for v. -5 Solve -28*i + 5*i + 1080 = 49*i for i. 15 Solve 0 = 3316*k - 3321*k + 10 for k. 2 Solve 253*c + 185*c = -126*c - 1692 for c. -3 Solve -61*k - 408 = 7*k for k. -6 Solve 662*d = 665*d for d. 0 Solve 17*j - 6272 + 12676 = 5945 for j. -27 Solve -2939 = -430*g + 142*g + 805 for g. 13 Solve 151*i + 450 = 106*i for i. -10 Solve -89*k + 150*k + 216 = 85*k for k. 9 Solve -33*i = -520 + 23 - 130 for i. 19 Solve 4022*z - 1 + 169 = 3966*z for z. -3 Solve -46*j - 336 + 78 = 110 for j. -8 Solve 340*r + 224*r + 5160 = 134*r for r. -12 Solve 516 = 301*c - 1591 for c. 7 Solve -120354*h - 294 = -120340*h for h. -21 Solve -65789*m + 65831*m = 1008 for m. 24 Solve 0 = -104*r + 9707 - 11995 for r. -22 Solve -1041*n = -979*n - 434 for n. 7 Solve 0 = -22*f + 8608 - 8718 for f. -5 Solve -312*f = 2298 + 4566 for f. -22 Solve 0 = 32*m + 706 - 1058 for m. 11 Solve -50*v - 1345 = 108*v + 111*v for v. -5 Solve 1442*c - 1490*c = 576 for c. -12 Solve -351*z + 1062 - 489 = -831 for z. 4 Solve -47*a - 3113 = -590*a + 8290 for a. 21 Solve -1238*n + 6068 + 2598 = 0 for n. 7 Solve 0 = -q - 28*q + 203 for q. 7 Solve 34259 = 9*h + 34295 for h. -4 Solve -9*u - 1491 = -4*u - 1386 for u. -21 Solve -61*a = 28*a + 42*a + 524 for a. -4 Solve 713 + 278 = -51*h - 131 for h. -22 Solve -15*y - 362 = -606 + 484 for y. -16 Solve -156 = -25*i + 38*i for i. -12 Solve 88 = -33*c - 4 - 40 for c. -4 Solve 73*i - 149*i - 55 = -71*i for i. -11 Solve -795*o = -777*o - 144 for o. 8 Solve 0 = 42*z - 1122 + 30 for z. 26 Solve -23*g - 83*g = 89*g - 6045 for g. 31 Solve -66*f + 935 = 275 for f. 10 Solve 142*y - 1075 - 1339 = 0 for y. 17 Solve 20*t + 99 + 79 = 38 for t. -7 Solve 27*s + 324 - 837 = 0 for s. 19 Solve 8*c + 2897 - 2769 = 0 for c. -16 Solve 67*c - 1940 - 695 + 826 = 0 for c. 27 Solve 159*l - 289 = -322*l - 1251 for l. -2 Solve 876 + 972 = -3*l + 234*l for l. 8 Solve -20*u + 35*u = 21*u + 72 for u. -12 Solve -11463 + 2283 = 306*c for c. -30 Solve -182 = 200*n - 213*n for n. 14 Solve -58*b + 78 = -96 for b. 3 Solve -46*d - 2415 = 115*d - 8050 for d. 35 Solve -185*o - 78*o = -2630 for o. 10 Solve 2*v - 9566 = -9590 for v. -12 Solve -117*a - 352*a + 6666 + 1307 = 0 for a. 17 Solve -53*g + 507 - 46 = -69 for g. 10 Solve 30*y - 2262 = -2112 for y. 5 Solve -118*y + 817 = 1149 + 1084 for y. -12 Solve 212 = 301*d - 89 for d. 1 Solve x + 9*x - 48 = -38*x for x. 1 Solve -49*x - 56*x = -95*x + 260 for x. -26 Solve 0 = -85*o - 36*o + 475 + 1219 for o. 14 Solve -216*p + 366 = -155*p for p. 6 Solve -14015*x = -14032*x + 170 for x. 10 Solve 779*r - 782 - 799 = 252*r for r. 3 Solve 23*p - 20*p = 47*p - 396 for p. 9 Solve -1955*f - 351 = -1982*f for f. 13 Solve 0*r = 9*r - 711 + 585 for r. 14 Solve 3649*f - 264 = 3625*f for f. 11 Solve 326*q + 1528 + 1236 = -1474 for q. -13 Solve 0 = 2*g + 2*g - 66508 + 66360 for g. 37 Solve 0 = -6805*q + 6814*q + 54 for q. -6 Solve -34*v - 10*v = 36*v - 1120 for v. 14 Solve 64 - 64 = 16*u for u. 0 Solve 911 = 115*f - 929 for f. 16 Solve -75*s - 6174 = -403*s - 113*s for s. 14 Solve 62*q + 223 - 330 = -169 for q. -1 Solve 0*q - 28*q = 6*q + 34 for q. -1 Solve -101*y - 10085 = -8873 for y. -12 Solve i - 4 + 2 = 6 for i. 8 Solve 16*f = -406 + 278 for f. -8 Solve 13016 = r + 13031 for r. -15 Solve -49*a + 840 = -154*a for a. -8 Solve -22 = -123*k + 101 for k. 1 Solve -9*m - 11*m + 26 = -33*m for m. -2 Solve 32*q - 126*q = 940 for q. -10 Solve -1315*m + 1319*m - 108 = 0 for m. 27 Solve -6*l = 18*l - 11*l - 117 for l. 9 Solve -231*y - 4337 = 3055 for y. -32 Solve -64 - 48 = 4*s - 76 for s. -9 Solve -38*k + 5*k - 405 = 12*k for k. -9 Solve 23256*x - 58 = 23258*x for x. -29 Solve 33*u + 46*u - 33*u + 276 = 0 for u. -6 Solve -581*l = 568*l - 1132*l - 306 for l. 18 Solve -513*x = -496*x - 67 - 222 for x. 17 Solve 1549*c - 1557*c = 120 for c. -15 Solve 43*k - 48*k - 2278 = 129*k for k. -17 Solve 4460 = -71*j - 66*j + 1309 for j. -23 Solve 0 = 204*a - 337*a - 1596 for a. -12 Solve -520*q + 5031 - 10564 = 9547 for q. -29 Solve -168*b - 2120 - 736 = 0 for b. -17 Solve -61*k + 223 - 101 = 0 for k. 2 Solve -49*g + 37 = 86 + 98 for g. -3 Solve 0 = -136*j - 154 + 18 for j. -1 Solve 299*l - 1900 = -298 + 192 for l. 6 Solve 97*h - 17*h - 781 = 819 for h. 20 Solve 192*b - 14*b = 3026 for b. 17 Solve 397*a - 345*a - 156 = 0 for a. 3 Solve 223586*a - 223623*a + 37 = 0 for a. 1 Solve 131 = -109*o + 567 for o. 4 Solve -27*v + 52*v - 575 = 0 for v. 23 Solve 8138*h - 8126*h = 6 + 66 for h. 6 Solve 70*t = 325*t - 1275 for t. 5 Solve -241*r - 935*r = -176*r - 20000 for r. 20 Solve 46831*l - 46841*l = 310 for l. -31 Solve -67*o - 3*o = 19 + 51 for o. -1 Solve 89*s + 528 = s for s. -6 Solve 4895*j = 4871*j - 48 for j. -2 Solve -3380 = 6400*w - 6231*w for w. -20 Solve 22 = -837*c + 835*c for c. -11 Solve -1443 = -13*s - 1742 for s. -23 Solve 35*c - 1877 = -1982 for c. -3 Solve 139*p - 988 = 87*p for p. 19 Solve -473*r + 55 = -468*r for r. 11 Solve -410*c + 427*c = -340 for c. -20 Solve -40*h - 197 + 517 = 0 for h. 8 Solve 0 = -179*j - 38*j + 16*j + 804 for j. 4 Solve 108*x + 540 + 559 - 19 = 0 for x. -10 Solve 63 = -3*g - 41*g - 289 for g. -8 Solve -256*h + 553 = -2519 for h. 12 Solve -174*g - 1359 = -141 for g. -7 Solve 4*a + 392211 = 392167 for a. -11 Solve -132*k + 2730 = -270*k + 208*k for k. 39 Solve -229*u = -2113 - 2299 + 1206 for u. 14 Solve 586*h + 590*h - 80 = 1184*h for h. -10 Solve 14*q + 331*q + 5175 = 0 for q. -15 Solve -2004 = 32*h - 1492 for h. -16 Solve -480 = -89*a + 143 for a. 7 Solve 35*p + 36*p + 616 = -17*p for p. -7 Solve 26*r - 5*r + 1011 - 843 = 0 for r. -8 Solve 2275 = -x + 2277 for x. 2 Solve -225*w + 102*w = -112*w - 220 for w. 20 Solve 4338 = -111*b + 352*b for b. 18 Solve 0 = -92*c - 145*c - 3334 - 4013 for c. -31 Solve -91*b + 366 = -1090 for b. 16 Solve -35*v - 86*v = 2010 - 316 for v. -14 Solve 0 = -21*q - 32 - 10 for q. -2 Solve -41*x + 828 = 623 for x. 5 Solve 0 = -189*r + 78*r + 69*r + 378 for r. 9 Solve -15*k + 212 = -28 for k. 16 Solve 816 = -627*r + 3951 for r. 5 Solve -2*h - 113 + 105 = 0 for h. -4 Solve 1047*w - 2102*w + 39 = -1042*w for w. 3 Solve -25*c + 158*c = -253*c - 9264 for c. -24 Solve -55*p - 5947 = -282*p - 86*p for p. 19 Solve 1065 = -455*p - 1220 - 1355 for p. -8 Solve -25*v + 118 + 108 = 151 for v. 3 Solve 25*y = -13*y + 55*y + 221 for y. -13 Solve 830*q - 995*q - 43 = -3013 for q. 18 Solve 118939*g = 118931*g - 24 for g. -3 Solve -113*k = -10*k + 927 for k. -9 Solve -40*s + 96*s = 168 for s. 3 Solve -3325 = -160*i + 35*i - 50*i for i. 19 Solve 14*j = 28*j + 39*j + 212 for j. -4 Solve 517*i - 12584 = -3278 for i. 18 Solve -67*b - 191 + 57 = 0 for b. -2 Solve 0 = 5*j + 52*j - 361 - 665 for j. 18 Solve -15*g = -22*g - 24*g - 248 for g. -8 Solve -411*k + 431 = 9924 + 1193 for k. -26 Solve -m + 6*m + 95 = 90 for m. -1 Solve 11*c - 2*c = 12 + 123 for c. 15 Solve 0 = -17*v + 11010 - 11282 for v. -16 Solve 94*l - 371*l = 2770 for l. -10 Solve 0 = -784259*m + 784308*m - 1225 for m. 25 Solve -100 - 454 = -73*x + 176 for x. 10 Solve -525*k = 37*k for k. 0 Solve 0 = -23*x + 700 - 332 for x. 16 Solve 41*z + 221*z = 96*z for z. 0 Solve -91*x - 567 = 1013 - 215 for x. -15 Solve 64*x + 113*x = 1752 + 195 for x. 11 Solve 24*p - 27*p = 22 - 1 for p. -7 Solve 89*z - 153 + 163 = -346 for z. -4 Solve -444*s - 393*s = -270*s - 9072 for s. 16 Solve 27954*l - 28028*l = -148 for l. 2 Solve -58*s + 5650 = -284*s for s. -25 Solve -2853 = 311*h - 54 for h. -9 Solve -9808 = -13*z - 9600 for z. 16 Solve -275 = 53*v - 10 for v. -5 Solve -9*x - 306*x = 0 for x. 0 Solve 786 = -77*y + 940 for y. 2 Solve 46*g + 132 - 638 = 0 for g. 11 Solve -33*x + 221 = -10 for x. 7 Solve 0 = 3340*j - 3322*j + 612 for j. -34 Solve 15551 = -3*p + 15500 for p. -17 Solve 14*y = -189462 + 189182 for y. -20 Solve -981 = 197*j + 398 for j. -7 Solve -1339 = 31*t - 1060 for t. -9 Solve -305*x + 1905 = -840 for x. 9 Solve -511*i + 478 + 889 = -166 for i. 3 Solve 203*b + 2345 + 3171 = -371 for b. -29 Solve -43*m - 327 = -241 for m. -2 Solve 16*o - 4992 = -5312 for o. -20 Solve
{ "pile_set_name": "DM Mathematics" }
value of -5 + 6 + -3 - -7? 5 What is the value of -2 + (9 - -12) + -11? 8 What is (-12 - -9) + -5 + 6? -2 Evaluate (3 - (-6 + -7 - -2)) + -6. 8 Evaluate -5 + -1 - ((26 - 5) + -19). -8 What is (-2 - (-1 + 0)) + (-18 - -15)? -4 -3 + (2 - 5) - 2 -8 What is 9 + -4 + -10 + (1 - -6)? 2 What is 0 + 3 + 1 + (-9 - -1)? -4 Calculate (-8 - -18) + -2 + 10 + -8. 10 What is -22 + 11 - -4 - (-6 + 2)? -3 -3 + (14 - (11 - 4)) 4 What is (3 - -8) + -21 + 18? 8 Evaluate 9 - 7 - (0 - -2). 0 Evaluate (9 + -9 - -14 - 8) + -7. -1 What is the value of (6 - -1) + (10 - 21) + 11? 7 Evaluate 3 - (-11 + 2) - 5. 7 Evaluate -14 + 7 + (3 - 3). -7 Evaluate (0 - -6) + (-6 - (-21 - -13)). 8 What is the value of 6 + (-3 - 1) + 0 + -2? 0 What is the value of 8 + (-3 - (-2 - -6 - 3))? 4 -164 + 157 - (0 + -1 - 15) 9 What is 2 + -2 - (24 + -24)? 0 -12 + 6 - (-4 + 4) -6 1 - 2 - (0 - (3 - 0)) 2 Calculate 0 + -2 + -3 + 8 + 3. 6 What is -2 + 4 + -7 + 5 + -3? -3 What is the value of (-84 - -89) + (1 - 1)? 5 Evaluate 4 + (-2 - 1) + 4. 5 What is the value of -5 + 4 + -5 + 4? -2 What is the value of -6 + 0 + 7 - 1? 0 -2 - (3 - 0) - -3 -2 What is 0 + 7 + -3 + (1 - 1)? 4 (7 - (-7 + 5)) + -17 -8 0 - 0 - (-1 + -2) - -2 5 Evaluate 8 + -4 + -3 - 2 - 0. -1 What is -2 - (-1 - (0 - 4))? -5 What is 11 - 0 - (-16 - -22)? 5 Calculate (-4 - -3) + 2 + 4. 5 What is (0 - 4) + 11 - (0 + 1)? 6 What is -4 - ((6 - 4) + -18 - -5)? 7 What is 1 + (7 - 1) + -2? 5 Calculate -3 - 2 - (-1 + -1). -3 What is the value of -1 + -2 + (4 - (1 - 0))? 0 Evaluate -35 + 30 - (5 + -1) - -5. -4 What is the value of -5 - (-14 + 4 + 2)? 3 Calculate -4 + (6 - (-2 + 7) - -2). -1 Calculate 0 - (-4 - (-5 + 5 - -1)). 5 What is the value of -5 - ((12 - 9) + 4 + -5)? -7 What is -1 + -6 + (-15 - (-23 - -6))? -5 What is the value of (0 + -9 - -3) + 4? -2 Calculate (-10 - 0) + 9 - 7. -8 Evaluate -2 - (0 + 4) - -10. 4 What is the value of (-2 - -7) + -5 - 2? -2 What is -2 + 7 + -6 + -4? -5 Calculate -6 + 8 + -5 + -2. -5 Calculate 0 - (-5 - (-5 - -2)). 2 1 + (-1 - -2) + (-14 - -10) -2 9 - (5 + (1 - 1)) - -2 6 What is the value of (0 - (-4 - (0 + -2))) + 0? 2 Evaluate -8 + 4 + -2 + -2 + 7. -1 What is 0 + 3 - (39 - 39)? 3 Evaluate -1 + -10 + (50 - 38). 1 -6 + -1 + (13 - (14 + -5)) -3 What is (8 - 10) + (7 - 2)? 3 Calculate -27 - -31 - (1 + 4 + 1). -2 Evaluate 6 + (-3 - -4) - 8. -1 Calculate 6 - (-1 + 9) - -5. 3 What is the value of 5 - (-7 + 4 + 10)? -2 -7 + (8 - -3 - 8) -4 What is (0 - 7) + -6 + (-5 - -11)? -7 9 + -1 + (60 - 68) 0 What is -1 + 8 - 8 - -4? 3 Calculate (0 - -2) + -12 + 16 + -4. 2 Evaluate -3 + 2 - (29 + -24). -6 25 - 25 - (4 - 0) -4 What is -1 + 12 - (-36 + 40)? 7 What is -5 + (1 + -5 + 6 - -2)? -1 Calculate -3 + (-4 - ((-1 - 1) + -7)). 2 What is the value of 6 - ((-5 - -2) + 6 + -2)? 5 3 - (11 + -3 - (-1 + 4)) -2 What is the value of 10 - 4 - (0 + 6)? 0 What is -2 + 18 + -2 + -9? 5 What is 2 - 4 - (7 + -9)? 0 (-2 - 0) + -1 + 5 2 What is -11 + 7 + 12 + (-6 - 0)? 2 What is the value of -6 - (-14 + 5 - -5)? -2 Calculate 167 - 163 - (3 - (-1 + 1)). 1 Calculate (-2 - 2) + (-4 - (-1 + -1)). -6 Calculate 3 + (-3 - (8 - 3)). -5 6 + (-3 - (4 - (3 - 0))) 2 Evaluate 1 + -2 + 9 + -5 + 1. 4 Evaluate 4 + (-8 + 6 - 4). -2 (1 - -5) + 4 + (8 - 12) 6 Calculate (-2 - -3 - 7) + 12 + -14. -8 What is the value of 3 - -1 - (-4 + 3 - 0)? 5 What is -5 + 2 + (3 - (1 + 2))? -3 Evaluate (8 + -18 - -1) + 5. -4 Calculate (-4 - -4 - 1 - 1) + 0. -2 Calculate -2 - -4 - (-1 + -2 + 5). 0 Calculate 6 - ((4 - 15) + 12). 5 Evaluate 1 - (3 - (0 - (-1 - 4))). 3 What is 5 - ((-10 - (5 - 13)) + 0)? 7 0 + 4 + (0 - 2) + -3 -1 Calculate (10 - 12) + (-1 - (0 - -1)). -4 What is (1 - (-4 - -13)) + (-3 - -3)? -8 What is the value of (5 - (-4 - 1)) + -6 + 0? 4 Evaluate 1 + 8 - (33 + -27). 3 1 + -3 + (1 + -3 - -4) 0 What is 8 + (12 - 16) + (0 - 10)? -6 What is the value of 4 - (22 + (-8 - 2))? -8 What is -3 - ((-1 - 7) + 7)? -2 Evaluate 128 + -125 + -1 + -4. -2 (-5 - -2 - -1) + 2 0 -7 - (-19 + 5) - 6 1 What is 8 + -7 - (2 + -1)? 0 What is the value of -8 + 13 + -6 - -8? 7 Calculate 0 + -5 + (1 - 0 - -1). -3 What is the value of 1 - (1 + -3 + (-1 - -4))? 0 What is the value of -6 + -6 + 10 + 2? 0 Evaluate -4 - 0 - (0 + 2). -6 What is the value of (1 + 6 - 6) + 2 + -3? 0 What is the value of -17 + 22 + (1 - 2)? 4 What is -9 + 9 - (-3 - 1)? 4 Evaluate 2 + (-7 - -15) + -6. 4 -3 - -3 - (1 - -1) -2 Calculate -4 + (16 - 4) + -3. 5 1 + (-1 - (-3 - 0)) 3 What is the value of -8 - (-8 + 3 + -1 + 3)? -5 Evaluate 8 + 2 + (6 - 9). 7 What is 5 - (2 + -3 + 8 - 1)? -1 What is -3 + 3 - (10 - 9)? -1 What is -3 - (2 + -3 + 4)? -6 What is (0 - -2) + (1 - -2) - 1? 4 Evaluate -4 - ((-6 - -1 - 3) + -1). 5 Evaluate 1 - (7 + -15) - -1 - 8. 2 Calculate 3 - ((5 - 6) + (6 - 5)). 3 What is 12 + -6 - 8 - (3 + 0)? -5 What is the value of 3 - (-7 + 11 + 0)? -1 Calculate 6 - (-4 - (-9 - -2)). 3 Calculate -3 + -4 + -3 + (1 - -10). 1 What is (-1 + -2 - (0 + -3)) + 2? 2 -3 - (-5 + (-3 - -5)) 0 0 + (1 - 3) + 5 + -4 -1 What is (3 - -1) + (-7 - -5)? 2 1 + (-4 - (0 - 1)) -2 What is the value of 2 - (18 - 8) - (3 + -19)? 8 What is the value of (-9 - -10) + (-6 - 1)? -6 Calculate 3 + -1 - (0 + (3 - 4)). 3 What is 1 + -6 + 2 + (-19 - -21)? -1 Calculate 7 - 9 - -5 - 0. 3 What is the value of -5 + -5 + (12 - 5 - 0)? -3 Calculate -6 - (8 - (3 - -3)). -8 Evaluate 3 - ((-4 - -6) + 3). -2 Calculate (18 - 19) + 1 + (-1 - 4). -5 -14 + 10 + (1 - -2) - 0 -1 What is 23 + -30 + (1 + -1 - -3)? -4 -9 + 2 - (10 - 23) 6 What is -66 + 71 - (6 - 1)? 0 What is (-5 + 1 - -2) + 3? 1 1 + 1 - (-3 + 1) 4 What is 13 - 4 - 6 - 4? -1 Calculate -2 + 1 + -2 + 2 + -2. -3 7 + -9 + 5 + 4 7 Calculate 9 + 4 + -5 + -8. 0 Evaluate -6 + 12 + (-2 - 7). -3 Calculate -3 + (-3 - ((1 - 5) + 3)). -5 Calculate 25 + -20 - (-6 - -4 - -6). 1 What is the value of (65 - 69) + (3 - -1)? 0 What is the value of 0 - -2 - (1 - (-1 - -3))? 3 What is -15 - (1 + -2) - (-179 - -173)? -8 What is -1 + (-4 - (1 + 3) - -4)? -5 Evaluate (-6 - 1) + 5 + 4. 2 What is the value of -2 - -5 - (2 - 2)? 3 What is -1 + -3 + 4 - (0 - -2)? -2 What is the value of 4 - 2 - 3 - (-24 + 24)? -1 Evaluate 3 + -3 - 5 - (5 + -9). -1 Calculate 9 + -1 + (7 - 11). 4 Evaluate (-2 - (3 + 5)) + 5. -5 What is the value of 1 + (-2 - -4) + 0? 3 Evaluate 7 - 11 - (-1 + -1). -2 Calculate (-3 - -6) + -1 + -2. 0 Calculate -2 - ((7 - 0) + -4). -5 0 + (2 - (0 + 0)) + -6 -4 What is the value of 1 + (3 - 0 - (1 - 4))? 7 (-8 - -5) + -5 + 4 -4 What is -8 - ((2 - 2) + (-3 - 0))? -5 Evaluate (-4 - 8) + 9 - (2 + -5). 0 -2 + -8 + 8 + 8 6 What is the value of (-7 - (1 + -3)) + -3? -8 Calculate (10 + -14 - -2) + -2 + 3. -1 What is the value of (-1 + 0 - 5) + (1 - -3)? -2 What is the value of -3 - (0 - (-3 + (-4 - -7)))? -3 -3 - ((-3 - -3) + -7 + 2) 2 -4 + 3 - (-3 + (-9 - -2)) 9 What is -2 + 3 + 1 + (10 - 12)? 0 What is the value of 4 + (0 - 5) + -4? -5 Calculate -12 - -9 - (3 - 6). 0 Evaluate (-2 - (3 + -5)) + 1. 1 -7 + 1 + 13 - 12 - -3 -2 Evaluate -1 - (-1 - (1 - 0)). 1 Calculate -4 + -11 + (-8 - -16). -7 Calculate (0 - (1 - -1) - -4) + 3. 5 What is the value of 2 - (-1 + 7 - 3)? -1 What is the value of -3 + -1 + (1 - 0)? -3 Evaluate 3 - (1 + (3 - (1 - -2))). 2 What is the value of 14 - (10 + -5 + 3)? 6 Evaluate (-44 - -49) + -5 + 0. 0 What is the value of -2 - -3 - (-15 - -6)? 10 What is the value of 1 + (-16 - (-2 + -4) - -4)? -5 What is the value of -8 - (3 + 4 + -14)? -1 Evaluate 0 + 2 + (4 - -1) + -10. -3 What is 2 + 6 - (3 + -1)? 6 What is the value of 1 + (-2 + -4 + 4 - -2)? 1 What is -7 - (1 - 7 - (-3 - -4))? 0 Calculate 3 - 1 - (-4 + 3). 3 What is 12 + 5 - (-23 + 32)? 8 Calculate (3 - (-2 - -1)) + (-2 - -2). 4 Evaluate 8 - (7 + 8 + -3). -4 What is the value of 1 - 1 - (-1 - -1)? 0 What is the value of 1 - ((-2 - (5 - 3)) + 0)? 5 What is -6 + (4 - 2) - 0? -4 What is the value of -1 + (-1 - 2 - -1)? -3 Calculate (-3 - -2) + 1 + 3 + -2. 1 Evaluate 0 - (8 + -10 - (-1 - 5)). -4 Calculate 1 + -3 + (19 - 25). -8 Evaluate 6 + (1 - 8) + (0 - -3). 2 Calculate (68 - 64) + (1 - 0). 5 Evaluate (0 - 0) + (5 + 6 - 5). 6 What is -43 + 37 + -1 + 4? -3 What is the value of -3 + 11 + -6 + -8? -6 Calculate -6 + -5 + 10 + -4. -5 0 + (15 - (11 + -1 + -2)) 7 Evaluate (-5 - -1) + 1 - (0 + 3). -6 What is 3 - (0 - (-2 - -2) - 1)? 4 Wha
{ "pile_set_name": "DM Mathematics" }
428. Let j(a) = -19*a - 286. Let x(t) = 5*c(t) - 7*j(t). Let b be x(-21). Solve 0 = 3*i - 6 + b for i. -1 Suppose 0 = -h - 2*q + 12, -5*q + 19 = -14*h + 11*h. Suppose 6 = -3*w + 5*w. Solve -h*n - w*n + 15 = 0 for n. 3 Let i(g) = -g**2 + 19*g. Let n be i(19). Let m be ((-8)/(-24))/1*n. Solve 4*z - 10*z = m for z. 0 Let t = 450 + -465. Let m be (-156)/78*t/2. Solve o = -4*o + m for o. 3 Let a be ((-965)/(-772))/(10/16). Solve 4*h + h = a*h for h. 0 Let p(o) = -11*o + 90. Let g be p(8). Let x be ((-4)/3)/(6*(-9)/486). Solve -x = g*m - 20 for m. 4 Let x = 6665 - 6573. Solve 42*u = x*u for u. 0 Let j = 82 - 81. Suppose 4*h = 5*l + 26, j + 3 = 2*l. Solve h = -3*d - 3 for d. -4 Let b = 30246 - 30241. Solve -b*a - 235 = -215 for a. -4 Let l(d) = -2*d**3 - 17*d**2 - 8*d + 3. Let c be 5*4/(-25)*(-9 + 19). Let y be l(c). Let m(v) = v**2 - 2*v + 1. Let t be m(1). Solve t = -h - 2 - y for h. -5 Suppose 0*m + 3*m - 1 = -2*w, -2*m + 14 = -2*w. Let j = 14769 + -14767. Solve -4 = m*k - j*k for k. -4 Let b be 675/(-30)*16/(-6). Solve b = 7*y + 39 for y. 3 Let h be -6*(4 + 50/(-12)). Let a(x) = -x**3 + 2*x**2 - 2*x + 1. Let m be a(h). Let b = 317 + -315. Solve -b*t = -m*t for t. 0 Let l(j) = -4*j**2 - 11*j + 5. Suppose 0 = 4*o - 15*o - 33. Let t be l(o). Solve 5*f + 3 = -t for f. -1 Suppose 2*p = 5*t - 12, 5*p - 4*t = -9*t + 40. Let x(h) = h**2 + 3*h - 26. Let o be x(p). Solve o*f + 41 = 33 for f. -4 Let b(g) = -41*g + 27 + 85*g - 48*g. Let f be b(6). Suppose o - 3 = 0, -6*m = -f*m + 2*o - 12. Solve -m*r = -7 - 1 for r. 4 Suppose -3*d - 45 = -2*a, 27 = 4*a - 4*d - 53. Suppose -3*u = -a, 2*v - 5*u + 25 = 3*v. Suppose 12*b - 14*b + 4 = v. Solve -2*h - 4 + b = 0 for h. -1 Let f be 28612/(-60) - 4/30. Let p = f - -477. Solve p = -t - t - 10 for t. -5 Let m be (22 - -1) + 3/(-9)*(-14 - -17). Solve -6*a + m*a - 64 = 0 for a. 4 Suppose -c + 1833 - 1445 = 3*x, 0 = x + 5*c - 92. Solve 11*a + x = -33*a for a. -3 Let j(k) = 3*k - 23. Let q be j(11). Suppose -25*w = q*w. Solve w = -18*m + 13*m + 5 for m. 1 Let d(w) = -2*w**3 + 215*w**2 + 119*w - 1171. Let i be d(108). Solve i*s - 32*s = 90 for s. -6 Let n(d) = 58*d + 13. Let b be n(10). Solve -b*f = -589*f + 8 for f. -2 Suppose -2*w - 5*v - 30 = 0, 94*w - 93*w + 2*v = -11. Let f(b) = 4*b - 1. Let k be f(1). Solve w*r = 22 + k for r. 5 Let o(u) = -u**2 + 45*u - 318. Let t be o(12). Let r be -2*73*(-2)/4. Let j = t - r. Solve 0 = j*y - y + 4 for y. -1 Suppose -b - 486*q = -482*q - 146, -q = -2*b + 346. Solve 71*r + 28 = b for r. 2 Let a(x) = 7*x**2 + 4*x + 1. Let f(y) = 27*y**2 + 17*y + 4. Let h = -55 + 64. Let w(m) = h*a(m) - 2*f(m). Let l be w(-1). Solve -3*p + l = -7 for p. 5 Let q(s) = -18*s**2 + 8*s + 10. Let n(g) = -g**2 + g + 1. Let r(t) = 12*n(t) - q(t). Let j be r(-1). Solve -j*f = -0*f for f. 0 Let w be 52/2 + (-10)/1 + 7. Suppose 3*u - w = -2*m, -2*m + 12 + 4 = -4*u. Suppose -191*a + 189*a = -m. Solve 4*n - a = -1 for n. 1 Suppose -5*b = -4*b - 4. Suppose -b*y + 28 = 4. Let k be (-9)/(-1 + (5 - 7)). Solve -k*g + g + y = 0 for g. 3 Suppose 0 = 3*u + 10 + 8. Let j(p) = -3*p**2 - 8*p - 17. Let f be j(u). Let q = -77 - f. Solve q = -5*w + 4*w + 5 for w. 5 Let s = 502 - 273. Let l = s - 217. Solve l = -3*f - 3 for f. -5 Suppose 0 = -12*z + 65*z - 371 - 689. Solve 9*n = 13*n + z*n for n. 0 Let b be (4/10)/(4/20). Suppose -3*l + 2 = f, 0*l = f + l - b. Solve 4*t = 2 + f for t. 1 Let k = -3916 + 3925. Solve k = 2*p + 1 for p. 4 Let l be 13 - ((-16)/(-16))/((-4)/(-16)). Solve 0 = 6*x - l*x - 9 for x. -3 Let d be (-1346 - (-120)/15)/(-3). Solve -448*m = -d*m + 12 for m. -6 Let m = 15231 + -15176. Solve -m*n - 127 = -457 for n. 6 Let j = -141 + 147. Let s(m) = 6*m**2 + m. Let d be s(2). Let z be (j/5)/(d/65). Solve -h = z*h + 8 for h. -2 Let w(b) = b**2 - 2*b - 28. Let x be w(-17). Let q = x + -289. Solve 4*d - q = 6 for d. 3 Suppose -5*i - z + 3*z = 8, -5*z + 20 = -2*i. Let k = 192 - 133. Suppose -3*g + 71 = k. Solve i = r - 5*r + g for r. 1 Let v = -83 - -79. Let t be ((-2)/v + 17/(-34))/1. Suppose 4*s + 7 = -5*n + 14, t = -5*s - 3*n + 12. Solve s*w = 7*w - 12 for w. 3 Suppose 3*s = 7*b - 6*b + 53, 0 = -4*b - 8. Suppose s*j - 19*j + 4 = 0. Solve 0 = -j*w + w - 5 for w. -5 Suppose -5*n = -4*z - 817, 2*z + 431 = 18*n - 23*n. Let f = -208 - z. Solve f*m + 3*m + 3 = 0 for m. -1 Let p(i) = -3*i + 52. Let g be p(16). Suppose -9 - 11 = -5*a, 5*d - g*a = 284. Let n = d - 58. Solve 4*w = n*w for w. 0 Let v be (3 - 27/11) + 3720/682. Suppose -3*a + 11 = 2*y, -2*a = 3*y + 3*a - 16. Solve 0 = n - y + v for n. 1 Let n be (-140)/(-56)*8/10. Let f(w) = 14*w - 28. Let k be f(n). Solve -9*v + 0 - 18 = k for v. -2 Let w = -32 - -45. Let a be (4 - 5)/(2/(-10)). Suppose 9*u = w + a. Solve -u*o - 1 = 1 for o. -1 Suppose r - 5*z - 10 + 1 = 0, -5*r = 3*z + 39. Let q be r*(1/(-2) + (-13)/(-78)). Suppose x = q*n - 2, -2*n + 7*x = 9*x - 8. Solve -c = n*c + 3 for c. -1 Suppose -14*z + 4*g - 968 = -10*z, 0 = -2*z + 3*g - 485. Let m = -238 - z. Solve -m*n = -9 - 6 for n. 5 Let m(j) be the third derivative of -j**4/12 + 7*j**3 + 3*j**2 - 26. Let d be m(15). Solve -d*z = -5 + 65 for z. -5 Let z be 2704/12 - (-1)/(-3). Suppose 243 = 6*n + z. Solve 5*j + n = -22 for j. -5 Let y(i) be the second derivative of -i**5/20 - i**4/4 + 5*i**3/2 + 5*i**2/2 - 18*i. Let a be y(-6). Suppose 19 = -4*k + a. Solve -k + 4 = -o for o. -3 Let a(r) = r**3 - 19*r**2 - 17*r - 35. Let b be a(20). Let h be -9*b/(-60)*40/15. Solve -d = -h*d - 18 for d. -2 Let j(u) = u**2 + 7*u + 8. Let k be j(-2). Let p be k/(-4) + 15/10. Let n be p - (-7 - (0 - 0) - 3). Solve -6*r = -2*r + n for r. -3 Suppose 5*q - 93 = 2*x + 140, -3*x - 3*q = 297. Let j = x - -86. Let d(k) = -2*k - 34. Let p be d(j). Solve -3*z + p*z = -5 for z. 5 Suppose -3*j = -s - 6, -3*s - j - 13 = 25. Let q be -2 + 21/9 + (-32)/s. Suppose -2*v - 2 = 7*w - 2*w, -q*v = -3*w - 18. Solve -l - v = -2*l for l. 4 Let j(u) = -u**3 - 33*u**2 - u - 31. Let v be j(-33). Suppose n = -3*z - v, -n = 4*z - 4*n - 6. Solve 17*x - 15*x - 2 = z for x. 1 Let p = -19982 + 20017. Solve p*w - 469 = -32*w for w. 7 Let i be 78/4*(-8)/30*50/(-20). Solve -7 + i = g for g. 6 Let t be 116/(-870) - 1*64/(-30). Suppose 4*o - 3*b - 100 = 2*b, -3*b = t*o - 28. Solve m = 6*m + o for m. -4 Let b be (1 + 27/(-21))*-7. Let h be (-4 - -6)/2 - 2. Let j be (-1)/(-1) + (-10)/(-1 + h). Solve -n = b*n - j for n. 2 Let m be (9472/(-52))/1 + 2/13. Let s = 190 + m. Solve -p = -s*p for p. 0 Let k be 13/((-78)/(-3423)) + (-3)/(-6). Solve -6*l - k = -529 for l. -7 Let v(n) = -27*n**2 + 1762. Let a be v(0). Solve a*g = 1770*g + 56 for g. -7 Let a(y) be the first derivative of y**4/4 - 5*y**3/3 - 35*y**2/2 + 4*y - 77. Let n be a(9). Solve 4*f + n + 3 = 0 for f. -4 Let i = -701 + 706. Let t(x) = -x**3 + 7*x**2 - 4*x - 9. Let n be t(6). Solve -i*b - n = -2*b for b. -1 Suppose 3*o - 3*c - 56 = c, -2*c = -o + 18. Suppose 0 = -u + 2 - 2. Suppose 0*d - 2*r + 21 = 3*d, u = -3*d + 5*r. Solve -5*q - o = d for q. -5 Let p(i) = 0*i + 4*i + 5*i**2 - 2*i**2 + 5 + 0*i**2 - 2*i**2. Let c be p(-3). Solve -c*j - 20 = 2*j for j. -5 Let i be 0/(-4)*1/(-2). Suppose 2*t = 5*k - 83, -384*k + 379*k + 15*t + 200 = 0. Solve i = 3*f - 4 + k for f. -3 Suppose 0 = 5*y - 0*y. Let q = -42 + 50. Let g be (q/24)/(2/6). Solve g = -y*t - t for t. -1 Let g be 18875/(-125)*4/((-8)/10). Solve -759*y + g*y + 20 = 0 for y. 5 Let l be -1*(-20)/(-80)*-28. Solve 0 = l*u + 201 - 194 for u. -1 Suppose -55*r + 56*r + 37 = c, 2*c = -r + 59. Solve 31*u - 5 = c*u for u. -5 Let c(w) = 6 - 9 - 4 - 8*w - 12. Let h be c(-7). Let y = h + -34. Solve 0 = -3*i + 9 + y for i. 4 Let s = 5 + -2. Suppose 0*l = -s*y + 3*l, -5*y + 3 = -4*l. Suppose -y*f - 6 = h, 3*h + 3*f - 18 = -6. Solve -2*n - h = n for n. -3 Suppose 120*w = -2*w + 615 + 727. Solve -w*a + 2 = -31 for a. 3 Suppose -3*b - 7*c + 3*c + 74 = 0, -4*c = -3*b + 82. Let t be b*6/12 + -5. Solve t*y = 10*y for y. 0 Let t(y) = -18 - 31*y + 79 - 27. Let l be t(1). Solve -10 = l*n - 5*n for n. 5 Suppose -z - 25 = -h, -4*h + 33*z - 34*z = -115. Suppose -2*s + h - 8 = 0. Solve s + 14 = 8*v for v. 3 Let d(l) = -l**2 - 10*l + 3. Let g = 19 + -19. Let k be d(g). Solve -2*r - 7 = -k for r. -2 Suppose 4*q - 4*k - 20 = 0, 8*q - 10*q + 7 = k. Let z(l) = -q*l + 6*l + 0 + 1 - 4. Let
{ "pile_set_name": "DM Mathematics" }
8. Let v = h + 88. Which is the closest to v? (a) -5 (b) -3/2 (c) 1/4 c Let d = -4.6 - 5.4. Let l = -20 + d. Let g = 30.1 + l. What is the closest to -4 in g, 7, -1/9? -1/9 Let n = 14618 - 14614. Which is the closest to 5? (a) 0.06 (b) 5 (c) n b Suppose -4*f - 2*q = -2, 3*f + 3 + 15 = 5*q. Which is the closest to -0.2? (a) f (b) -0.4 (c) 2 b Let f = 10.858 - -0.142. Let g = f - 11.1. Which is the closest to g? (a) -7/2 (b) -2/5 (c) -2 b Let p = 137 - 137.09. Suppose -81 = -2*n - 7*n. Suppose 4*a - 3*a = -n*a. What is the closest to 5 in a, p, 1/3? 1/3 Let w = -3.5 + 3.4. Let f = 0.384 - -154.616. Let a = f - 158. What is the nearest to w in a, -4, -21? a Let p = 4.8 - 64.8. Let b = p - -62. Let q = -0.5 - -0.6. What is the nearest to q in b, 1, -0.5? -0.5 Let c = 44.09 - 5.79. Let o = c - -12.7. Let p = -53 + o. What is the nearest to -2/5 in -8, -1, p? -1 Let j = 293.123 - 0.123. Let f = 296 - j. Which is the nearest to 0.1? (a) -2/3 (b) 0.01 (c) f (d) -0.1 b Let t = 2.9 + -0.9. Let h be (1/7)/((-12)/28*(-3)/9). What is the nearest to t in 0.1, h, -2/13? h Let y = 17/14 - 5/7. Let v = 205828 - 205825. What is the closest to y in 2, -0.3, v, -1/7? -1/7 Let n = -1.7 - 2.3. Let y be 5/(-7) + (-218)/763. Which is the nearest to 0? (a) y (b) -2 (c) n a Let m = 52 + -51. Let j be 414/(-276) + (4 + -4)/(0 + 3). Let c be ((-1)/2)/((-4)/10). What is the nearest to m in c, -4, j? c Let h = -2 + 5. Let r be (8*(-17)/544*10)/(1/2). Which is the closest to 0.1? (a) -3 (b) -11 (c) r (d) h d Let r = 27.15 - 39.112. Let h = r - 0.038. Let q = -0.039 - -0.339. What is the closest to 0.1 in q, 2/5, h? q Let r = 132.3 - 130.3. Which is the nearest to -1/11? (a) -1 (b) r (c) -3 a Let n = -89466 + 539357/6. Let j = -428 + n. What is the nearest to 0.1 in -0.2, j, -0.5? -0.2 Let b be (-2)/(-24)*(7 - (-164)/(-28)). Let l be 11/((-99)/(-24)) + -3. What is the nearest to -2 in b, -1, l? -1 Suppose 19*u = 56*u - 259. Suppose u*b - 91 = -70. Let y = -2 - 0. What is the closest to 4 in y, b, -1/11? b Let l be (-11518)/(-886) - ((-62)/(-6) + 1). What is the closest to -0.19 in -0.5, -5, 0.4, l? -0.5 Let w be (((-8)/36)/(4/6))/(5/(-15)). Which is the closest to -1? (a) -0.2 (b) w (c) -5 (d) 67 a Let x = 1955.5 - 1955.1. Suppose 2*y = -y. Which is the nearest to -3? (a) y (b) 0.2 (c) x a Suppose 62*j = 68*j + 1860. Let x = 310 + j. Which is the nearest to -3/7? (a) -1/2 (b) -4 (c) x a Suppose -9*x + 336 - 48 = 23*x. Which is the closest to 2/3? (a) x (b) 6 (c) 0 (d) -3 c Let r = 11512 - 11518.2. Which is the nearest to r? (a) -1.8 (b) 2/21 (c) -1/6 a Suppose 2*a - 4*a + 32 = 3*m, 0 = 2*m + 3*a - 18. Let w be m/(-20) + (-3 - -4). What is the nearest to 7/9 in 1/7, w, -0.1? w Let k = 29.8047 + -0.0047. Let a = k - 29.3. What is the closest to 4 in 1, a, -0.5? 1 Let p = 2700.8 - 2701. Which is the nearest to p? (a) 1 (b) -2/11 (c) -0.3 (d) -0.7 b Let n be (3 - 2)/(2/(-8)). Let v be (2 - (-25)/50)/(14/4 + -2). Let b = -0.02 - -0.12. What is the closest to b in 7, n, v? v Suppose -22 = -7*i - 43. Let s be (64/(-40))/(((-6)/5)/i). Which is the nearest to -2/11? (a) s (b) 1 (c) 0.4 c Let y = 127 + -123. Let h be (-4)/44*(y + -2 - 0). What is the nearest to -1/2 in 2/19, h, 4/17? h Let o = -30.297 + 30.497. Which is the nearest to 0.15? (a) -2/3 (b) o (c) -5 (d) -3 b Let t be 15/(-7) + 3 - 120037/140182. Let d = t + -1771/4712. Which is the closest to 1? (a) -1/5 (b) d (c) 1 c Let w be (-2 - 7/(-3)) + 0. Let y = 163.8 + -104.7. Let f = y + -59. What is the closest to w in f, 0, -1? f Let i = -1.853 - -6.853. What is the nearest to 0 in 0.3, i, 14? 0.3 Suppose 25*t + 18 = 28*t. Let z be 2/t + 13/(-3) - 0. Which is the closest to z? (a) 0.3 (b) 4 (c) -0.5 c Let p = 13363/2 - 6683. Which is the nearest to 0? (a) -19 (b) 14 (c) p c Let u = -0.0807 - -0.0217. What is the closest to -2/3 in -2/19, u, -0.2? -0.2 Suppose 4 = -92*b + 88*b - 4*a, -5*b + 2*a + 9 = 0. Suppose 2*d - 3*d = -4. What is the nearest to b in 2/3, d, 5, 0? 2/3 Let r be (-320)/(-55) + -6 - 153/187. Let m = 0.1 + -1.1. Let y = -0.029 + 7.029. Which is the closest to r? (a) 0.5 (b) m (c) y b Let v be (-36)/(-8) + 2/4. Let p = -2147/2 + 1072. Which is the closest to 0.3? (a) v (b) 1 (c) p b Let u = 0.5431 - -0.4569. Which is the nearest to 1? (a) -1/8 (b) -2 (c) u c Let m = 5316.7 + -5316.78. Let n = 2.1 + -2.19. Which is the nearest to 0.1? (a) m (b) n (c) -4/5 a Suppose 9*i = 6*i + 3. Let m = -141/4 - -35. Let k = -148 - -146. Which is the nearest to i? (a) k (b) 3 (c) m c Let i = -1.766 - -1.066. Let y = 0.01 + 0.29. What is the nearest to 0.1 in i, 2/5, y? y Let q be (-2)/(-36)*51 - 4*(-6)/144. Suppose -x - 22 = 5*j, 0 = -0*j - j - 4*x + 7. Let z = -14 + 15. Which is the closest to z? (a) q (b) -1/3 (c) j b Let s = -80880 + 80878. Suppose 0*v + 4 = 2*v. Suppose -2 = -v*g - 8. What is the closest to s in 1, 3, g? g Let v = -4.6382 - -0.0482. Let t = 4.69 + v. Which is the closest to 1? (a) t (b) 1/4 (c) -14/3 b Suppose -10 - 3 = 13*q. Which is the closest to -3/2? (a) -0.4 (b) -27 (c) q (d) -1/3 c Let l be (25/(-55))/(55/605) + 0. Let q = -4.08 + 0.08. What is the nearest to -0.1 in 5, -3, l, q? -3 Let j(r) = 2*r + 27. Let g be j(-12). Let z be (-3)/g - (-119)/105. Which is the closest to 3? (a) 2/13 (b) z (c) 1 c Let f be 756/(-528) - (6 + 87/(-12)). Which is the closest to f? (a) 0.02 (b) -0.5 (c) -5 (d) 1/8 a Let c = 1280 + -1281.9. Let l = 0.21 + -0.11. What is the closest to l in -2, c, -0.3? -0.3 Let k = 299 - 304. Let g = -1750.028 + 1746. Let n = g + 0.028. What is the nearest to -2/15 in k, n, -0.1? -0.1 Let z(d) = -2*d**2 - 85*d - 105. Let m be z(-41). Let f = 3 + 0. Suppose l = -f*x, -5*x = -5*l - 2*x - m. Which is the nearest to 3? (a) -1 (b) 3 (c) l b Let t be 0/(-1) + 2 + 944/177 + -7. Let u = 5 - 8. Which is the closest to -0.1? (a) t (b) 8 (c) u a Let x = 366.8 - 367. Let d = 21.6 + -21.5. What is the nearest to d in -3, -3/2, x? x Let p = 22049/20022 - 451/426. Let h be 0 - ((-2)/(-3))/(-2). Which is the nearest to h? (a) p (b) 1/6 (c) 1 b Suppose 2*t + t - 60 = 0. Let v be 1/(-5) + (-21)/t. Let c be 6*((-5)/3 + 1). What is the closest to -1 in c, v, -3? v Let x = -0.097 - -1.697. Let j = x - 2.6. Let p = -8.9 + 7.9. Which is the closest to j? (a) -3 (b) 0.4 (c) p c Suppose 0 = -22*h + 49 - 2975. Which is the closest to h? (a) 5 (b) -2 (c) 0 (d) -0.2 b Let m be 33/18 + 3/(-9). Let v(w) = w**3 + 10*w**2 + 10*w. Let u be v(-1). What is the closest to m in -5, 0, u? 0 Let v = 0.051 - -5.949. Let a = 35 + -36. Let k be (-1)/12 + a/4. What is the closest to 0.1 in k, 5, v? k Let w = 11 + -6. Let t = 8012.8 + -8013. What is the nearest to -0.3 in w, -3, t? t Let p = 10222.7 - 10223. Which is the closest to -2? (a) -211 (b) 3 (c) 2 (d) p d Let f = 813 + -1371. Let g = f - -558.1. Which is the closest to -1/6? (a) g (b) 1/5 (c) -2 (d) 3 a Let q = -30633.09 - -30631. Which is the closest to 0.3? (a) -6/5 (b) q (c) -0.2 (d) 3 c Let d = 1 - 0. Let m = -140649 + 140649.5. Which is the closest to -1/4? (a) 19 (b) m (c) d b Let j(l) = 4*l - 10. Let q = -203 + 205. Let u be j(q). What is the closest to 2 in 1, -0.1, u, 0.1? 1 Let q be ((-4)/(-5))/(1888/590). Which is the nearest to q? (a) -1 (b) -0.01 (c) -2 (d) 2/9 d Let z(u) = 59*u**2 - 11*u + 10. Let p be z(1). Let v be p + -62 - 52/(-14). Let s = -1.18 - -0.18. What is the nearest to v in 2, s, 0.3? 0.3 Let x = -339 + 348. Suppose -6*q + x = -3. What is the closest to q in 2, -1, 4? 2 Let k = -24171 + 24143. Which is the closest to k? (a) -2 (b) -4 (c) -0.4 (d) -0.11 b Let m = 1 + 0. Let x = -9311.6 - -9311. What is the nearest to -0.3 in 3/2, x, m? x Let w be ((-2)/6)/((-8)/48). Let z be 7/6 - 1/6. What is the nearest to z in w, 0.4, 3/7? 3/7 Let q = -4.67 - 0.33. Let b = -13 - -13. Let u = -1 + b. What is the closest to u in 1, q, 2/3? 2/3 Let v = -241/476 - -3/476. Let h = -0.26 - -3.26. Which is the closest to v? (a) -17 (b) h (c) 5 b Let v = 15.2308 + -0.2308. Which is the nearest to v? (a) 0.2 (b) -0.03 (c) -0.7 (d) 2/3 d Let d = -75322 - -75321. Let l = -8.3 - -8. Let k = -3.08 - -0.08. What is the nearest to l
{ "pile_set_name": "DM Mathematics" }
fy (x*x**(2/7))**(-46)*(x**(1/3)*x)/(x/x**(-4))*(x**(-5/3)/(x*x**5*x))/(x*x*x**(2/7)*x)**(4/7) assuming x is positive. x**(-10783/147) Simplify ((b**(-2))**(1/3)*(b**(-5)*b)/b**(2/27))**(-1/54) assuming b is positive. b**(64/729) Simplify (z*z/(z/(z**27*z)))/z**(-2/103)*z**1/z**(-14) assuming z is positive. z**(4534/103) Simplify ((l**(4/5)*l*(l*(l*l/(l**5*l)*l)/l)/l)/((l**(-3)/l)/l**(-6)))/((l**1/l*l*l**(1/5))/(l**(1/2))**(4/7)) assuming l is positive. l**(-179/35) Simplify ((a*a**(2/7)/a)**(1/20))**(-23/4)*(a**(-1/3))**13*a**(-1/3)*a*((a*a**(-2/5))/a)/a assuming a is positive. a**(-865/168) Simplify (f**(-36)/f*f*f**(-26)*f*f*f*f**(-2/11)/f*f**24/f)**2 assuming f is positive. f**(-818/11) Simplify ((u**(-20)/u*u)/u*(u/u**7)/u)/(u/((u*((u*u*u**(-26))/u)/u)/u))**(2/57) assuming u is positive. u**(-550/19) Simplify ((m**(2/5))**(-3))**(-2/23)/((m/m**(2/7)*m*m)/((m**10*m)/m))**(-1/8) assuming m is positive. m**(-5193/6440) Simplify ((f*f**(-8))/(f*f*f**(-1/3)*f)*(f/f**0)**(-2))**(14/5) assuming f is positive. f**(-98/3) Simplify ((i*i*i/(i*i**(-3/7)))/i*i**(-2/7))/((i**4/i)/i**6)*(i*i**(-1/4)*i*i)**23/((i/((i**(1/8)*i)/i*i)*i)/i**6) assuming i is positive. i**(4061/56) Simplify (q/(q/(q*q/(q*q**(-25)/q)))*q**(-13)*q)/(q*q*q**(-1/18)*q*q/(q/((q**8*q)/q*q))) assuming q is positive. q**(55/18) Simplify ((d/((d**24*d)/d)*d**(-2/5))/((d*d/d**10)/(d**(-2/3)*d)))**(-3/7) assuming d is positive. d**(226/35) Simplify ((((r*r/(r*r**(-1/3)*r))/((r*(r*r**6/r)/r)/r))/(r*r**(-2/3)/r*(r*r**2/r*r)/r))**(-45))**(7/4) assuming r is positive. r**(945/2) Simplify (w*(w*w**(-2)*w)/w*w*w/(w*w*w**(-2/7))*w)**(5/2)*w/(w*w**(-1/3)*w*w*w)*w**(3/8)/w*(w*w**(-3))/(w*(w**(1/3)/w)/w) assuming w is positive. w**(-79/56) Simplify ((w/(w/w**(-5/8)*w)*w)**(-13/5)/(w**(-24)/((w/(w*w**(9/5)))/w)))**(-2/23) assuming w is positive. w**(-913/460) Simplify b**(-3/34)*b/((b/b**(3/20))/b)*b**(1/21)/b*b**(23/2) assuming b is positive. b**(82891/7140) Simplify (((h/(h*h*h**(1/3)*h))**33*h**1/h*h**5/h)**(-3/44))**38 assuming h is positive. h**(4161/22) Simplify (g**5*g*g/(g**1/g*g*g*g))/(g/(g*(g*g**(2/5)/g*g)/g))**(-2/27)*(g**(-1))**(-2/5)*g/(g*g/(g**(-2/15)*g))*g**(-1/4) assuming g is positive. g**(2153/540) Simplify ((t/t**(-1/40)*t**(-1/42))/(t/(t/(t**(2/43)/t*t))*t/(t/t**(2/125))))**(-7/6) assuming t is positive. t**(-847627/774000) Simplify (((o*o/(o*o**(-24)*o*o))**(-18))**(-23))**(4/11) assuming o is positive. o**(38088/11) Simplify ((f**(-1)*f)/(f/f**(-7)))/(f**(-2)/f*f)**0*f**(7/5)*f/(f*f/(f**(6/7)*f))*(f**(-2/9))**(1/14) assuming f is positive. f**(-1814/315) Simplify (p/p**0)**(-9)*p**(-5)/(p**5/p)*p**1/(p/((p/p**(4/3))/p))*(p**(-1))**(2/25) assuming p is positive. p**(-1456/75) Simplify ((a**2*a)**4*(a**(-1/4))**(-2/47))/((((a**(-1)*a)/a)/a)/a*a**4)**(-9/5) assuming a is positive. a**(6491/470) Simplify (d/((d*d**(2/7))/d))/d**(-8)*d**8*d**(1/4)*d*(d/((d/d**(4/9)*d)/d)*d**(-1/9))/(d/(d*d**(2/9)))**32 assuming d is positive. d**(6403/252) Simplify (o**7*o**(-1))**36*((o*o**(-7))/(o/((o*o**(-2/11)/o)/o)))**(27/2) assuming o is positive. o**(1161/11) Simplify (y/y**6*y*y**(3/8))**(-1/11)*(y*((y/y**(-2/3))/y)/y)**(-15/2)/((y**(2/9)*y)/y**(-3)) assuming y is positive. y**(-7043/792) Simplify ((v/(v/v**(2/89))*v**(-31))/(v*v/((v*v/(v/v**20)*v*v)/v)*v**(2/79)))**(5/9) assuming v is positive. v**(-128935/21093) Simplify ((g/((g/g**(-2/7))/g))**15)**35/(((g*g**(-4/7)/g*g)/g)/((g/g**3)/g))**(11/5) assuming g is positive. g**(12938/35) Simplify ((p**(-1))**(2/13))**(11/6)*(p**(-1/5)/p**(-2/9))**33 assuming p is positive. p**(88/195) Simplify (o**(-2/3)/o*o)**(-12)*o*o**7*(o*o*o**(-4))/o*((o/(o**(-1/3)*o))/(o*o**3*o))/((o/(o*o**(-6)))/o*o*o**(-1/13)) assuming o is positive. o**(94/39) Simplify ((j/j**(1/3)*j**(-22))/((j/j**(-7/5))/j**(-17)))**(-1/3) assuming j is positive. j**(611/45) Simplify ((q**(2/3)/q**7)/(q**(4/9)/(q**(-6)/q)))/((q/(q/((q/(q*q**1/q)*q*q)/q*q)*q*q))/q*q**(-4/9)*q*q**(-3)*q**0) assuming q is positive. q**(-31/3) Simplify ((f*f*f**(6/7)*(f/(f*f**(-2/37))*f)/f)/(f**(-1))**(8/13))**31 assuming f is positive. f**(368094/3367) Simplify (x/(x**(2/3)*x)*x**(-14)*(x/(x*x/(x/((x**(-1/17)/x*x)/x)))*x)/(x**(-6)/x))**(1/18) assuming x is positive. x**(-143/459) Simplify (z/(z*(z*z/((z*z**21*z*z*z)/z))/z)*z**(1/4)/z)/(z**(8/5)/(z/(z*z*(z**(1/5)/z)/z)*z)) assuming z is positive. z**(449/20) Simplify (m*m**36)/(m**(-15)/m)*m**(-6/19)*(m*m**(-1/8))/m assuming m is positive. m**(7989/152) Simplify (((h*h**3)/h)/((h*h**(-9)*h)/h))**(2/13)/((h/(h**(-1)/h)*h*h**(-2/9))/(h/((h**(-1/5)/h)/h)*(h*h*h**(2/13))/h)) assuming h is positive. h**(1327/585) Simplify q/(q*q**(1/10))*q*q/q**(2/11)*q*(q/(q/(q*q**(-1/2))))**16*((q/q**(1/22))/(q/((q**(11/2)*q)/q)))**(4/5) assuming q is positive. q**(1659/110) Simplify ((d**(2/83)/d**(2/17))**39)**35 assuming d is positive. d**(-180180/1411) Simplify (((z*z**23)/z)/(z*z/z**(1/5)))/((z/(z*z*((z*z*z*(z/((z/z**(-24))/z))/z)/z)/z*z))/z*z**(9/4)) assuming z is positive. z**(-21/20) Simplify ((c**(3/13))**(3/5)/(c**(-41)/c)**(-20))**(-1/6) assuming c is positive. c**(18197/130) Simplify (((d**(1/2)/d)/d)**(-1/25))**(-1/44)/((d**(2/7)*d**(-6)/d)/(((d*d*d*d/(d**(-2)*d*d)*d)/d)/d*d*d**(-3))) assuming d is positive. d**(118779/15400) Simplify (y**(1/4)*y*y**(2/13))**(5/12)*(y**(-2/11)/y*y**5)/(y*y**(-4)*(y*y**1)/y) assuming y is positive. y**(43951/6864) Simplify (((m**(-8)*m)/(m/m**4*m))/(m**(1/9)*m/((m*m/m**(-1/14))/m*m)))**(5/6) assuming m is positive. m**(-2545/756) Simplify ((x/(x/((x/x**(-23)*x)/x))*x*x*x/(x*x/(x**(-1/13)/x)))/(x**(-2/31)*x*x**22))**(2/25) assuming x is positive. x**(796/10075) Simplify ((m*(m**(-1/29)*m*m)/m*m**(1/6))/(m**(-14/9)/((m*((m*m**(-14)*m*m)/m*m)/m)/m)))**23 assuming m is positive. m**(-99797/522) Simplify ((l**(2/7)/(l/(l*l**(-3)/l)*l))/((l/(l/(l**(-1)/l)))/l*l)**13)/((l**1)**(-2/37))**(-13) assuming l is positive. l**(5331/259) Simplify ((b/b**(-2/5))**12/(b**(-2)/(b*b/(b/(b*b**(2/13))))))**46 assuming b is positive. b**(62652/65) Simplify (r**(-5)*r**5)**(-50)*(r/(r**(5/2)*r))/r**(2/3)*r/r**(3/7)*(r/r**(-6))/r assuming r is positive. r**(143/42) Simplify g/g**(-8)*g**(-2/9)*(g**(-2))**(-10/7)*(g/(g**(1/4)*g*g)*g*g*g/g**(2/11))**(2/21) assuming g is positive. g**(16333/1386) Simplify (p**(-7)/((p**4*p)/p))**(-43)*((p**(-4)/p)/p**(2/5))/(((p*p*p/p**(1/7))/p)/p**6) assuming p is positive. p**(16511/35) Simplify ((k**(-2/9)*k/(k/((k*k**(6/13)*k)/k)*k)*(k/(k/k**1))**(3/34))**(-43))**(-2/25) assuming k is positive. k**(56029/49725) Simplify (((t/(t**(-1)*t))**(2/27)*t**(1/26)/(t*t/(((t**(1/3)*t*t)/t*t)/t)))**(1/41))**(-2/7) assuming t is positive. t**(389/100737) Simplify k**0*(k**5/k*k)/k*k**(-4/5)*k/(k/(k**(-1/6)*k))*((k/(k**0/k*k*k)*k)/k**3)**(11/5) assuming k is positive. k**(-11/30) Simplify ((g*g**(-5))/g)/(g*g*g**(-4/7))*g*g**(-1/8)*g*g*g*g**(2/5)*(g**3/g**(-6))/(g/g**1*g)**(-24) assuming g is positive. g**(8637/280) Simplify (f*f**4)**(-18)*f**(-37)/f**10 assuming f is positive. f**(-137) Simplify ((h**(-5))**(2/47)/(((h*h**(1/9))/h)/h)**(-1/7))**24 assuming h is positive. h**(-8048/987) Simplify ((((a/(a/a**(-4)))/a**3)**(-2/9))**(-36))**32 assuming a is positive. a**(-1792) Simplify (((a**(-3)*a*a)/((a/a**(-4))/a)*a**(-1/2)/((((a/(a**16*a))/a)/a)/a*a))**(-25/4))**(-40) assuming a is positive. a**3125 Simplify (h**(2/7))**(14/3)/(h*h/h**(2/7))**0*(h**(-2))**(-22/9)*h**(-3)*h**(-3) assuming h is positive. h**(2/9) Simplify (z*z**(-1))**(-41)*z**7/(z/z**(2/15))*z**7/((z**(-3/5)/z)/z)*z**(-1/2)/z**7 assuming z is positive. z**(247/30) Simplify ((p/p**22*p/((p**6/p)/p))/(p**(10/7)/p)**(12/11))**19 assuming p is positive. p**(-35796/77) Simplify (k*k/(k*k**(5/2)*k)*k)/k**(-2/7)*(k/(k*k**1))/k*(k*(k**(-2/5)/k*k)/k)/k*(((k**6/k)/k*k)/k*k*k*k**(-2/9))**(-3/2) assuming k is positive. k**(-2789/210) Simplify (f*f**(-8/3)*f*f**(-1/12))**(-16/3)/((f**(-1))**(-33/5)*(f**0/f*f)**(-35)) assuming f is positive. f**(-13/5) Simplify ((c/(c/c**(-1)))**50)**(-25)/((c*(c**(6/5)/c)/c)/c**(-6/11)*c**(-2/23)*c*((c*(c*c/((c/c**(-7))/c)*c)/c)/c)/c*c) assuming c is positive. c**(1585477/1265) Simplify (h/(h*(h/(h*h/(h*h*h**(-5))*h))/h))/h**(-3)*(h**(-5)/h*h)/h**(-3)*(h/(((h/(h/h**0))/h*h)/h))**32/((h*h*h/h**6)/h**(2/5)) assuming h is positive. h**
{ "pile_set_name": "DM Mathematics" }
? 16745 What is next in -30740, -30891, -31052, -31229, -31428, -31655, -31916, -32217? -32564 What comes next: -269, -514, -1647, -4262, -8953, -16314, -26939, -41422? -60357 What comes next: 355, 549, 835, 1207, 1659, 2185, 2779? 3435 What comes next: -4254, -8492, -12608, -16542, -20234? -23624 What is next in -8516, -7424, -6344, -5276? -4220 What is next in 13656884, 13656883, 13656882, 13656881, 13656880, 13656879? 13656878 What is next in -11775396, -23550803, -35326210? -47101617 What is the next term in 13670, 54853, 123504, 219623, 343210, 494265, 672788? 878779 What comes next: 1954, 3829, 5704, 7579, 9454? 11329 What is next in 13633, 12810, 11449, 9550, 7113, 4138, 625? -3426 What is next in 38450, 76973, 115580, 154313, 193214, 232325? 271688 What is next in -311053, -311115, -311185, -311263, -311349, -311443? -311545 What is the next term in 1439, 4848, 10185, 17450, 26643, 37764? 50813 What is next in -16487, -16466, -16411, -16304, -16127, -15862, -15491, -14996? -14359 What is next in 2275, 2716, 3151, 3580, 4003, 4420? 4831 What is the next term in 4, 548, 1258, 2134, 3176, 4384? 5758 What comes next: 14839, 29643, 44403, 59119, 73791, 88419, 103003? 117543 What comes next: -63640, -125726, -186260, -245242, -302672, -358550, -412876? -465650 What is the next term in 40700, 81629, 122584, 163577, 204620, 245725, 286904, 328169? 369532 What is next in -2710, -5458, -8200, -10936, -13666, -16390, -19108? -21820 What is next in -7156843, -7156787, -7156739, -7156705, -7156691, -7156703, -7156747? -7156829 What comes next: 3134470, 6268924, 9403368, 12537802, 15672226, 18806640, 21941044? 25075438 What is the next term in 38, 160, 564, 1244, 2194, 3408, 4880, 6604? 8574 What is the next term in 54184, 108154, 162124? 216094 What is the next term in -1771074, -3542084, -5313016, -7083864, -8854622, -10625284, -12395844, -14166296? -15936634 What comes next: -56989, -114090, -171197, -228310, -285429? -342554 What is the next term in -96937, -387884, -872757, -1551550, -2424257, -3490872? -4751389 What is the next term in 137450, 138310, 139172, 140036, 140902, 141770, 142640? 143512 What is the next term in -2382, -5085, -8108, -11451? -15114 What is the next term in 141, 1163, 3093, 5937, 9701, 14391? 20013 What is next in -21606, -41384, -61152, -80904, -100634? -120336 What is next in -783, -2588, -5413, -9258? -14123 What is the next term in -57576487, -57576490, -57576495, -57576502? -57576511 What comes next: -150288769, -150288772, -150288777, -150288784, -150288793? -150288804 What comes next: -4603, -16957, -37063, -64921, -100531, -143893, -195007? -253873 What is next in -6678, -6446, -6206, -5958? -5702 What comes next: 2950, 5954, 9014, 12130, 15302, 18530? 21814 What comes next: 2906332, 5812657, 8718984, 11625319, 14531668? 17438037 What comes next: 260105, 260094, 260081, 260066, 260049, 260030? 260009 What is the next term in 13425636, 26851267, 40276898, 53702529, 67128160, 80553791? 93979422 What is the next term in 512632, 512639, 512646, 512653, 512660? 512667 What is the next term in 922244, 1844504, 2766766, 3689030, 4611296? 5533564 What comes next: 40671205, 40671201, 40671197, 40671193, 40671189, 40671185? 40671181 What is next in -1960, -7863, -17680, -31399, -49008? -70495 What comes next: -10803, -10606, -10223, -9606, -8707, -7478, -5871, -3838? -1331 What is the next term in -2856716, -5713239, -8569762, -11426285, -14282808, -17139331? -19995854 What comes next: -19956, -34727, -49498, -64269, -79040, -93811? -108582 What is the next term in -4074, -2880, -1704, -552, 570? 1656 What comes next: -104500, -208960, -313422, -417886, -522352, -626820, -731290? -835762 What is next in 47, -2486, -5013, -7534? -10049 What comes next: 3252, 13526, 30648, 54618, 85436, 123102? 167616 What is the next term in -242, -520, -904, -1352, -1822, -2272, -2660, -2944? -3082 What is next in -6288, -56444, -192558, -457608, -894572, -1546428, -2456154? -3666728 What is next in -16636, -33400, -50164, -66928? -83692 What is next in 25038, 24798, 24404, 23856? 23154 What is the next term in -446503, -893046, -1339589? -1786132 What comes next: 32538, 128873, 289432, 514215, 803222? 1156453 What is next in -586997, -1174050, -1761113, -2348192, -2935293, -3522422, -4109585, -4696788? -5284037 What is next in 1907, 4002, 6291, 8876, 11859, 15342? 19427 What comes next: -283410, -1133622, -2550632, -4534434, -7085022, -10202390, -13886532? -18137442 What is next in -129025, -258763, -388501, -518239, -647977? -777715 What comes next: 10635, 21191, 31753, 42321, 52895, 63475, 74061? 84653 What comes next: -561, -2554, -5657, -9690, -14473, -19826? -25569 What is the next term in 7451, 15024, 22719, 30536, 38475, 46536? 54719 What is the next term in -543100354, -1086200705, -1629301056? -2172401407 What comes next: -32429895, -64859795, -97289695? -129719595 What is the next term in -3755376, -3755229, -3755080, -3754929? -3754776 What is next in -33644, -33681, -33708, -33719, -33708, -33669? -33596 What is next in -107618, -108376, -109632, -111380, -113614? -116328 What comes next: -15798, -64777, -146408, -260691, -407626? -587213 What is the next term in -25128, -25495, -25874, -26271, -26692, -27143, -27630? -28159 What is next in 5046, 9428, 13818, 18216, 22622, 27036, 31458? 35888 What is next in 2846, 4594, 6334, 8066, 9790, 11506? 13214 What is next in 54003, 54137, 54271, 54405, 54539, 54673? 54807 What is the next term in -16615, -67146, -151369, -269290, -420915, -606250? -825301 What comes next: 192285, 192295, 192319, 192363, 192433, 192535? 192675 What is next in 249332, 249046, 248750, 248438, 248104? 247742 What comes next: -3272, -4625, -4062, -1583? 2812 What is next in -12313, -49336, -111103, -197620, -308893, -444928, -605731? -791308 What is next in -62045, -123924, -185803, -247682, -309561? -371440 What comes next: -416176, -415937, -415698? -415459 What is next in -31584, -62886, -93892, -124608, -155040? -185194 What is next in 23195329, 23195327, 23195325, 23195323, 23195321? 23195319 What comes next: -129365, -518066, -1165901, -2072870, -3238973? -4664210 What is the next term in -1320394, -1320407, -1320428, -1320457? -1320494 What comes next: -36, -23, -124, -399, -908, -1711? -2868 What is next in 350, 308, 284, 314, 434, 680, 1088, 1694? 2534 What is the next term in -236529, -473102, -709675, -946248, -1182821, -1419394? -1655967 What is next in -105928784, -105928786, -105928790, -105928796? -105928804 What is the next term in -27436, -109580, -246480, -438130, -684524, -985656, -1341520? -1752110 What is next in -1838533, -1838477, -1838383, -1838251? -1838081 What comes next: 459473623, 918947248, 1378420873? 1837894498 What is the next term in -78575, -78771, -78967? -79163 What is next in -1544, -11349, -37966, -89807, -175284, -302809? -480794 What is the next term in -456762, -913539, -1370328, -1827129, -2283942, -2740767, -3197604? -3654453 What comes next: -24502, -46952, -69402, -91852? -114302 What is next in -150266, -150218, -150170, -150122, -150074, -150026? -149978 What is next in 729, 1255, 1701, 2067, 2353, 2559? 2685 What is the next term in 478, 354, -384, -1742, -3726, -6342? -9596 What is the next term in -121530186, -243060374, -364590562, -486120750, -607650938, -729181126? -850711314 What is the next term in -119009, -238021, -357041, -476069, -595105, -714149, -833201? -952261 What comes next: 8542, 8237, 7732, 7027, 6122? 5017 What comes next: 419045909, 838091816, 1257137723, 1676183630, 2095229537, 2514275444? 2933321351 What is next in -20069, -161274, -544553, -1290944, -2521485? -4357214 What is next in -2302724, -2302708, -2302680, -2302634, -2302564? -2302464 What comes next: -22953, -20796, -18643, -16494? -14349 What is the next term in -68349, -118363, -168377, -218391, -268405? -318419 What is next in 1667, 1560, 1251, 638, -381? -1908 What comes next: -5750, -6178, -6606, -7034, -7462? -7890 What comes next: 385760, 385781, 385824, 385895, 386000, 386145, 386336? 386579 What comes next: 16979023, 16979025, 16979027, 16979029, 16979031? 16979033 What is the next term in 434, 646, 1170, 2144, 3706, 5994, 9146, 13300? 18594 What comes next: 934
{ "pile_set_name": "DM Mathematics" }
value? (a) 3918 (b) 6 (c) -5 (d) 51 (e) -2/7 (f) -3 (g) 5 g What is the fourth biggest value in 2/7, -5, 5, 61, -5/3, -7, -4.8? -5/3 Which is the fourth smallest value? (a) -1/8 (b) -1 (c) 6 (d) 2/5 (e) 1/8 (f) 4.7 d What is the smallest value in -225, 3383.5, -2? -225 What is the second smallest value in 0.94, 1/3, 0.108, -3, -2/3, -2, 0.2? -2 What is the third biggest value in 0.3, -0.04, 0.2, 130, 7/67? 0.2 What is the biggest value in -38/5045, -2, -0.26? -38/5045 Which is the second biggest value? (a) -50 (b) -5 (c) 3/8 (d) 0.5 (e) -22 (f) -4.5 c Which is the third biggest value? (a) 38 (b) 6 (c) -5 (d) 52 (e) -9/5 b Which is the fourth biggest value? (a) 3 (b) -1 (c) -2060/9 (d) 1815 c What is the second smallest value in 1/338, 121932, 1, -0.4? 1/338 What is the fifth biggest value in -3, -5, 2/11, -1130, 0.03, 3? -5 Which is the smallest value? (a) -61 (b) -2.7 (c) -3 (d) 4 (e) -7/3 (f) -10/11 a Which is the sixth biggest value? (a) -0.1 (b) -4/13 (c) -5 (d) -0.6 (e) 3/5 (f) 0.207 c Which is the fifth biggest value? (a) 8144 (b) 118 (c) 0.7 (d) 3 (e) 0.1 (f) 0.5 (g) 0.2 f Which is the third smallest value? (a) -75 (b) 3/10 (c) 7/3 (d) -1.1 (e) -13 (f) 0.1 d Which is the smallest value? (a) 3/8 (b) -4 (c) -0.0412267 b Which is the third biggest value? (a) -2 (b) 4 (c) -4 (d) -0.0981 (e) -4.82 a What is the third smallest value in -510, -3, 1.39, -0.5, 4, 16? -0.5 What is the second biggest value in 3, 3/4, 12.281247? 3 Which is the second biggest value? (a) -373/4 (b) 0.3 (c) -3/2 (d) -7.5 (e) 0 e What is the third smallest value in -2/7, -2482, 9, 5? 5 What is the third smallest value in -63, -1321.2, -9/8? -9/8 What is the sixth biggest value in 5/4, -4, -451, -3, -775/8, 4? -451 What is the fifth biggest value in -3/2, 0.04, -35, -22, -0.4, 3, -0.33? -3/2 What is the third smallest value in -2, 2671, 3, -0.1, 3/40? 3/40 Which is the smallest value? (a) -3/7 (b) -9272 (c) -7/2 (d) 3/2 (e) -7 b What is the fifth smallest value in 0.3, -92/67, 1, -11, 9/2? 9/2 What is the biggest value in -282, -5, -0.03, 6/7, 0.2, -0.5? 6/7 What is the second smallest value in -1/15, 821/4568, 0.3? 821/4568 What is the smallest value in 44, 0.1783807, -3? -3 What is the smallest value in 2, 4/93, 0.3964, 0? 0 Which is the second smallest value? (a) 5 (b) 2/19 (c) -7528 (d) 77.1 b What is the third biggest value in -5, -2/9, -2/119, -14, -3? -3 Which is the third smallest value? (a) -216.1 (b) -1/93 (c) -386 b Which is the fourth smallest value? (a) 2/9 (b) 2250 (c) 7 (d) 235 b What is the smallest value in -6/13, 2.312, -1.42? -1.42 What is the third smallest value in -1/120, 0.3, 0.121987? 0.3 Which is the second smallest value? (a) 3 (b) -3004 (c) 6/5 (d) -16 d Which is the smallest value? (a) 0.06981 (b) 30 (c) -2 c What is the third smallest value in 2, -618, -3.6, -3, -1? -3 Which is the second biggest value? (a) 46.1492 (b) -4 (c) 1/7 (d) 0 (e) 5 e Which is the sixth biggest value? (a) 2 (b) 0.1 (c) -0.1 (d) 3/70 (e) -2 (f) 25 (g) -0.09 c Which is the third smallest value? (a) -0.4 (b) 35/69791 (c) 2 c What is the second biggest value in -1, -81/349658, -5? -1 Which is the biggest value? (a) -1/3 (b) -328100 (c) -2/13 c What is the fourth biggest value in 116/7, -0.3, 0.3, -2/139, -1, -23? -0.3 What is the second biggest value in -1/6, 38.8, 2, -2/7, 4, 56, -2/13? 38.8 Which is the biggest value? (a) -4 (b) 7/101 (c) -3/4 (d) -10/17 (e) -30/13 b What is the fourth smallest value in -3, 6/5, 215, 58.6, 1/6? 58.6 Which is the sixth smallest value? (a) 0.2 (b) 3 (c) 5 (d) 0 (e) 264664 (f) -0.5 (g) -3 c Which is the third biggest value? (a) 3/7 (b) 23 (c) -5640/29 c What is the smallest value in 5, -3, 0.4, 0, -17, -1, 36/17? -17 What is the sixth biggest value in -0.4, -1, 0.27, -2/1381, -517, 0.3? -517 What is the third biggest value in 8, 0.3, 4, -3545, 5, -0.07? 4 What is the second smallest value in 64, -1073, 199, -0.4? -0.4 Which is the third smallest value? (a) -7/4 (b) -0.5 (c) 43827 (d) 6 (e) -4/7 b What is the biggest value in 8901, 7, -0.3? 8901 What is the smallest value in 3, -1/4, -2, -15, -1014, -0.3, 1/2? -1014 Which is the sixth biggest value? (a) -0.315 (b) -0.1 (c) 0.4 (d) 96 (e) 20 (f) -3 f Which is the third biggest value? (a) -837 (b) 3/14 (c) 118 (d) -4 d What is the sixth smallest value in 15, 5, 22, 3, -104, -2/11? 22 Which is the smallest value? (a) -4 (b) 5 (c) 2696/69 (d) 4 a Which is the fourth smallest value? (a) 3/4 (b) 0.1 (c) 19 (d) -177 (e) 214 (f) -0.5 a Which is the second smallest value? (a) 3/338 (b) 1/5 (c) 3 (d) 288 (e) -2/3 a What is the smallest value in -1, -26535194, 0.2, 2/7? -26535194 What is the biggest value in 1, 1/4, -5, 2785, 639, 3? 2785 Which is the fourth smallest value? (a) -1.3 (b) 12 (c) 156 (d) 1/5 (e) -0.5 b What is the biggest value in 2/3, -0.3, 1.8, 0, 21/232? 1.8 What is the third biggest value in -3298, 10/17, -0.64, 2/13, 0.4? 2/13 What is the seventh biggest value in -1/5, 0.05, 0.5, -5, 3, 0.1, -307? -307 Which is the second smallest value? (a) 6 (b) -3 (c) 218 (d) -154 (e) -4 e What is the fifth smallest value in 4, 0, -4, 2, 1.4, -4/63, -19/2? 1.4 Which is the third biggest value? (a) -0.32 (b) 5 (c) -5 (d) -2.12 (e) -18 d Which is the third smallest value? (a) 13 (b) -1/2 (c) -9 (d) 0.01 (e) 2/11 (f) -2144 b What is the fourth biggest value in 6, 0.026, 1.3, 125/3, -3/2? 0.026 Which is the biggest value? (a) -0.05 (b) -0.00326 (c) -213.5 b What is the fifth biggest value in 34.3, 3/8, -2/9, 2, -51? -51 Which is the smallest value? (a) 468 (b) 3 (c) -74 (d) 0.9 (e) 4 (f) 0.1 c What is the second biggest value in 5, -4/5, 1095.9, 31? 31 What is the seventh biggest value in -23, 53, -4, 9, 2, 5, 16/3? -23 What is the smallest value in 0, -2172, 206, 0.4, 1/2? -2172 What is the sixth biggest value in 0.02, -2, 0.5, -3, 4, -60, 6/43? -3 What is the sixth smallest value in 881, 5, 4/27, -2.9, 3, 0.3, 2/23? 5 Which is the sixth biggest value? (a) -59 (b) 3 (c) -14 (d) 8.7 (e) -0.3 (f) -0.6 a Which is the third smallest value? (a) -2 (b) 86 (c) 1/4 (d) -3 (e) -240 (f) 0.3 a What is the second biggest value in 0.5, 0.2, 52/3, 3/2, 2/49, 80? 52/3 What is the second biggest value in 8, 5, 0.01, -47, -0.08, 0.2? 5 What is the fifth biggest value in -9, 0.3, 2/515, -0.4, -2/3933? -9 What is the biggest value in 4, 0.614952, -5/4, -2/9? 4 What is the sixth smallest value in 57, -45/13, 0.1, 3, 2/15, 1/4, -0.2? 3 Which is the fifth smallest value? (a) -13 (b) 3/8 (c) -1 (d) 24/13 (e) 10 (f) -6/5 d Which is the third smallest value? (a) -0.272 (b) -3/8 (c) 2/41 (d) -52 (e) -0.2 a Which is the sixth biggest value? (a) 1 (b) 1/94 (c) -6 (d) -29 (e) 0.1 (f) 4 (g) -37 d What is the fourth smallest value in 4/11, -42, -4485/2, 0? 4/11 Which is the second smallest value? (a) 1.94 (b) 18/2963 (c) 9 a Which is the second smallest value? (a) 0.3 (b) 116 (c) 3 (d) -9606 a Which is the third biggest value? (a) 1 (b) 0.2 (c) -31 (d) -3 (e) -7 (f) 0.5 (g) 2 f What is the sixth biggest value in 3/4, -1/4, 34.8, 2/3, -0.1, 201, -0.05? -0.1 What is the third biggest value in -1.3, 0, 133501? -1.3 Which is the third biggest value? (a) 6.2 (b) 45/2 (c) 204 a What is the fourth biggest value in -0.2, 121, -7328, 3/5, 4? -0.2 What is the smallest value in 0, 0.3, 33, -175, -0.3, 41, -0.5? -175 Which is the third biggest value? (a) -1 (b) 3 (c) 259836.86 a What is the fourth biggest value in 2/15, -0.006, -2/107, 14, -1/9, 0.5, 1? 2/15 Which is the fourth smallest value? (a) 91 (b) 0.2 (c) -5.3 (d) -3 (e) 2/11 (f) 0 (g) -0.2 f Which is the fifth biggest value? (a) -163 (b) 249 (c) -11 (d) -1 (e) 3 a Which is the second smallest value? (a) -2/9 (b) -27/2 (c) 1555/4 (d) 2 a Which is the biggest value? (a) -7 (b) -5 (c) 1/6 (d) -75 (e) 2 (f) -19 e Which is the second biggest value? (a) 12/7 (b) -19/6091 (c) -4 b What is the smallest value in 2/5, 0, -125991? -125991 Which is the second smallest value? (a) 3/4 (b) -4 (c) 0.44151 c What is the fifth biggest valu
{ "pile_set_name": "DM Mathematics" }
*p - 5*h. Solve -18*q**2 - 3*q**4 + 12*q**3 - 19 + 12*q + p + 0*q**4 = 0. 1 Suppose -y - 5*y - 30 = 0. Let h(m) = -33*m**2 + 24*m - 21. Let n(j) = 8*j**2 - 6*j + 5. Let k(i) = y*h(i) - 21*n(i). Factor k(o). -3*o*(o - 2) Suppose 0 = -3*p + 7*p - 8. Let h be 9/4 - p/8. Suppose 4*c**3 - 6*c**4 - 2*c**2 - 7*c**3 - 10*c**2 - 13*c**3 + h = 0. Calculate c. -1, 1/3 Let h(i) be the second derivative of -i**7/36 + 11*i**6/60 - 53*i**5/120 + 31*i**4/72 - i**2/3 - 151*i. Solve h(l) = 0. -2/7, 1, 2 Factor -1/3*v - 4/3*v**2 + 1/3*v**3 + 4/3. (v - 4)*(v - 1)*(v + 1)/3 Let 55*n**5 + 0*n**4 - 8*n**4 + 17*n - 28*n**2 - 27*n**5 - 4 + 26*n**3 - 27*n**5 - 4*n**3 = 0. What is n? 1, 4 Let x be (-28)/(-8) - (2 + 1). Let w be -9 + 0 - (59 + -70). Find k, given that -x - 1/2*k**w + k = 0. 1 Let h(a) be the second derivative of -11*a**7/7 - 7*a**6/10 + 18*a**5/5 + 7*a**4/4 - a**3 - 8*a - 9. Suppose h(d) = 0. Calculate d. -1, -1/2, 0, 2/11, 1 Let a be (-2)/8 - ((-445)/(-4))/(-5). Suppose z = a - 20. What is b in -2/5*b + 4/5*b**4 - 4/5*b**z + 0*b**3 + 2/5*b**5 + 0 = 0? -1, 0, 1 Find o, given that 0 - 16/5*o + 12/5*o**2 - 2/5*o**3 = 0. 0, 2, 4 Let q(h) be the second derivative of 5/21*h**3 + 1/42*h**4 + 3/7*h**2 - 1/70*h**5 - 5*h + 0. Suppose q(v) = 0. What is v? -1, 3 Determine u so that 2*u**3 - 169*u**2 - 166*u**2 + 13*u**2 + 12480*u - 15*u**2 + 23*u**2 - 12168 = 0. 1, 78 Let l(j) be the third derivative of j**6/480 - 11*j**5/120 - 47*j**4/96 - j**3 - 16*j**2 + j. Factor l(o). (o - 24)*(o + 1)**2/4 Suppose -13*w - 3*w = -80. Suppose -3*p + 5*p + w*l + 11 = 0, -p + 2*l = -8. Solve 9/2*o**5 - 18*o + 3*o**p + 73/2*o**3 + 4 + 24*o**4 = 0. -2, 1/3 Let o(a) be the third derivative of -a**8/84 + 4*a**7/35 - 11*a**6/30 + 2*a**5/15 + 2*a**4 - 16*a**3/3 + 6*a**2 + 9*a. Let o(j) = 0. Calculate j. -1, 1, 2 Let v(z) = -57*z**2 - 450*z + 441. Let m(h) = -7*h**2 - 56*h + 55. Let w(r) = -33*m(r) + 4*v(r). Suppose w(j) = 0. What is j? -17, 1 Let q(a) = a**2 - a - 2. Let l be q(3). Suppose -18 - 16 + 1 - 24*p - 3 - l*p**2 = 0. Calculate p. -3 Find l, given that -9*l**5 + 60/7*l + 192/7*l**4 + 0 + 348/7*l**2 + 543/7*l**3 = 0. -1, -2/3, -2/7, 0, 5 Let q = -59 - -83. Suppose 0 = -6*n - 0 + q. Let -n*u**2 + 2*u + 4 + 2*u - u - u - 2*u**3 = 0. Calculate u. -2, -1, 1 Suppose 0 = 34*v - 28*v - 72. Suppose -12 = -3*o - 3*b, -2*o = -5*o + 2*b + v. Find a such that -a**2 + 1/2*a**5 + 0*a**3 + a**o - 1/2*a + 0 = 0. -1, 0, 1 Let n = 1145 + -1142. Determine k, given that -4/9*k**n - 2/9*k**2 - 2/9*k**4 + 0*k + 0 = 0. -1, 0 Let h(u) be the third derivative of u**5/135 + 25*u**4/18 + 148*u**3/27 + 40*u**2. Solve h(b) = 0. -74, -1 Let b(i) = -7*i**3 - 753*i**2 + 72180*i + 72962. Let c(t) = 3*t**3 + 377*t**2 - 36091*t - 36481. Let h(p) = 4*b(p) + 9*c(p). Solve h(j) = 0 for j. -1, 191 Let a(s) = 5*s**4 + 5*s**3 - 7*s**2 - 3*s - 6. Let q(m) = 14*m**4 + 14*m**3 - 19*m**2 - 9*m - 17. Let h(u) = -17*a(u) + 6*q(u). Factor h(c). -c*(c - 1)**2*(c + 3) Determine m so that 0 + 3/5*m**4 - 6*m**2 + 48/5*m - 21/5*m**3 = 0. -2, 0, 1, 8 Let n(v) be the third derivative of -v**7/420 + 3*v**6/80 - 7*v**5/120 - 15*v**4/16 - 7*v**3/3 + 123*v**2. Suppose n(f) = 0. Calculate f. -1, 4, 7 Let b(h) be the second derivative of -5*h**7/273 - 41*h**6/65 - 4*h**5 + 1444*h**4/39 - 1008*h**3/13 + 784*h**2/13 + 30*h + 5. What is x in b(x) = 0? -14, 2/5, 1, 2 Suppose -6*r = -11 + 5. Let q(g) = g**4 - g**2 - g. Let x(o) = 190*o**4 - 10*o**2 + 6*o. Let p(b) = r*x(b) + 6*q(b). Suppose p(u) = 0. What is u? -2/7, 0, 2/7 Let v = 128 + -127. Determine y so that -27*y - 240*y**2 - 30*y + 300*y**3 + 6 + v - 10 = 0. -1/10, 1 Let q(i) be the first derivative of i**9/9072 + i**8/2520 - i**7/2520 - i**6/540 - 3*i**3 + 17. Let t(w) be the third derivative of q(w). What is f in t(f) = 0? -2, -1, 0, 1 Factor 1871*y + 113 - 3*y**2 + 39 - 2097*y. -(y + 76)*(3*y - 2) Find n, given that 2/3*n + 2/9*n**5 + 4/9*n**2 - 8/9*n**3 + 0*n**4 - 4/9 = 0. -2, -1, 1 Let r(y) = -15*y**3 - 118*y**2 - 407*y - 377. Let a(p) = -5*p**3 - 39*p**2 - 136*p - 126. Let z(v) = -17*a(v) + 6*r(v). Factor z(x). -5*(x + 2)*(x + 3)*(x + 4) Let u = -26 + 55. Factor -8 - u*s - 139*s - 1058*s**2 - 16*s. -2*(23*s + 2)**2 Find h such that -141*h - h**2 - 50*h + 0*h**2 - 9343 - 9*h - 657 = 0. -100 Let s = -633 - -638. Let g(n) be the second derivative of -3/10*n**2 + 0 - 1/70*n**7 - 1/10*n**4 - 9*n + 3/50*n**6 - 3/50*n**s + 3/10*n**3. Solve g(a) = 0. -1, 1 Solve 28 + 6*f + 717*f**2 + 12*f - 721*f**2 + 6*f = 0. -1, 7 Suppose -10 = -j - 2*u, 2 - 6 = -4*j + 4*u. Let a(y) be the second derivative of 0*y**2 - 1/12*y**j - 1/3*y**3 + y + 0 + 1/20*y**5. Factor a(s). s*(s - 2)*(s + 1) Let q(s) be the third derivative of -5*s**9/3024 + s**8/336 + s**7/168 - s**6/72 + 9*s**3/2 + 26*s**2. Let w(l) be the first derivative of q(l). Factor w(i). -5*i**2*(i - 1)**2*(i + 1) Let y(o) be the first derivative of o**3 - 15*o**2 + 63*o + 33. Factor y(m). 3*(m - 7)*(m - 3) Let u(d) be the third derivative of -d**11/66528 + d**10/15120 + 7*d**5/60 + 2*d**2. Let b(z) be the third derivative of u(z). Factor b(h). -5*h**4*(h - 2) Let y be 0 - ((-260)/(-45) - (-2 + 8)). Solve 2/9 + 2/3*z + 2/3*z**2 + y*z**3 = 0 for z. -1 Let f(l) = 12*l**3 + 49*l**2 + 85*l + 48. Let w(c) = 10*c - 16 - 2*c**3 - 2*c**3 - 16*c**2 - 9*c - 29*c. Let b(u) = -4*f(u) - 11*w(u). Let b(n) = 0. What is n? -2, -1 Let s(y) be the second derivative of 1/15*y**6 + 0 - 43*y + 1/4*y**3 + 0*y**2 - 1/6*y**4 - 1/20*y**5 - 1/84*y**7. Find b such that s(b) = 0. -1, 0, 1, 3 Suppose -5*r - 152*v + 148*v = -18, r - v = 0. Factor 12 + 3*n - 3/2*n**r. -3*(n - 4)*(n + 2)/2 Factor -2/3*q**2 - 58/15*q + 4/5. -2*(q + 6)*(5*q - 1)/15 Solve -4*n + 7/2*n**3 + 1/2*n**5 + 5/2*n**4 - 1/2*n**2 - 2 = 0 for n. -2, -1, 1 Let k be (-81)/(-15) - 4/10. Factor -3*i**5 + 24*i**4 + 4*i**3 - 24*i**4 - 2*i + i**k. -2*i*(i - 1)**2*(i + 1)**2 Let c(z) be the second derivative of 11*z + 0 + 0*z**2 + 1/6*z**6 - 5/3*z**4 - 10/3*z**3 + 1/4*z**5. Factor c(v). 5*v*(v - 2)*(v + 1)*(v + 2) Let j = 919/54 + -17. Let x = 14/27 - j. Find v, given that 0 - 3/4*v**2 + x*v + 1/4*v**3 = 0. 0, 1, 2 Let v(f) = 4*f**2 - f - 1. Let l(g) = -g. Let c be l(-2). Let x be v(c). Factor 5*b**2 - 6*b + b - 2*b**2 - x*b + 27. 3*(b - 3)**2 Let l(h) be the third derivative of -h**5/20 - 3*h**4/4 - 9*h**3/2 + 99*h**2. Suppose l(q) = 0. Calculate q. -3 Let b(v) = -21*v**2 + 492*v - 19206. Let t(m) = -24*m**2 + 494*m - 19207. Let a(c) = -7*b(c) + 6*t(c). Determine o so that a(o) = 0. 80 Factor 0 + 0*l - 2/9*l**3 - 10/9*l**2. -2*l**2*(l + 5)/9 Let t(d) be the third derivative of -d**5/60 - 5*d**4/12 - 3*d**3/2 - 27*d**2 + d. What is z in t(z) = 0? -9, -1 Factor 11 - 20*t**2 - 81*t - 92 - 3*t**3 - 7*t**2. -3*(t + 3)**3 Let q(m) be the third derivative of -2/25*m**6 + 0 - 1/525*m**7 + 0*m - 72/5*m**4 - 36/25*m**5 + 18*m**2 - 432/5*m**3. Determine a so that q(a) = 0. -6 Let f(r) be the first derivative of -r**2/2 + 11*r - 8. Let c be f(8). What is k in -10*k**5 - c*k**4 + 5*k**5 + 4*k**2 + 6*k**5 = 0? -1, 0, 2 Suppose 3*x + 3*a + 3 = 0, -5*x + 61*a - 65*a = 2. Solve -u + 1/4*u**3 + u**x + 0 - 1/4*u**4 = 0. -2, 0, 1, 2 Let q = 204 - 207. Let w be (q + 3)/(2/1). Find u, given that 14/3*u**3 - 10/3*u**2 - 4/3*u + w = 0. -2/7, 0, 1 Let b(v) = -28*v + 7. Let d be b(5). Let i = 666/5 + d. Factor 0*g**2 + i*g**3 + 0 - 1/5*g. g*(g - 1)*(g + 1)/5 Find h, given that 50/3*h**5 + 64/3*h - 36*h**3 - 64/3*h**2 + 0 + 70/3*h**4 = 0. -2, -1, 0, 4/5 Let g = -2/2805 - -37406/8415. Suppose 0 = 44*d + 9*d - 212. Determine i so that 2/3 + 58/9*i**2 + 32/9*i + g*i**3 + 8/9*i**d = 0. -3, -1, -1/2 Let j(f) be the first derivative of 5*f**3 - 5*f**2 - 3*f**3 + 27*f + 6 - 4*f**2 - f**3. Factor j(p). 3*(p - 3)**2 Let m = -20433 - -20436. Factor 6*o**2 - 4*o + 0 + 1/2*o**4 - 3*o**m. o*(o - 2)**3/2 Let z = -101947/4 - -25487. Let 3/2 - z*y - 1/4*y**2 = 0. Calculate y. -3, 2 Let v(w) be the second derivative of -4/7*w**2 + 0 - 4/21*w**3 + 4*w - 1/42*w**4. Find j such that v(j) = 0. -2 Let w = 13 + 9. Let x(a) = a**3 - 5*a**2 - 4*a - 8. Let k be x(6). Let 10*m**5 + 8*m**k + 36*m**3 - 49*m**2 - w*m**5 + 16*m + m**2 = 0. Calculate m. -2, 0, 2/3, 1 Let z(s) be the third derivative of s**7/70 - s**6/8 - 3*s**5/5 + 10*s**4 - 32*s**3 - 40*s**2 - s. Fa
{ "pile_set_name": "DM Mathematics" }
0) assuming t is positive. t**(-123/7) Simplify ((t**2*t*t)**49*(t/((t**(-1/10)/t)/t))/t**(1/3))**(-19/3) assuming t is positive. t**(-113297/90) Simplify ((j**(-26))**(-12/5))**(5/12) assuming j is positive. j**26 Simplify ((h*h**(-7))/(h*h**5)*(h*h*h**10/h)/((h/((h/(h/(h*h*h**7/h*h)))/h))/h))**25 assuming h is positive. h**175 Simplify (c**(6/7))**(-2/9)*(c**(-4/7))**(-41/4) assuming c is positive. c**(17/3) Simplify (q*(q**(1/4)/q)/q*q*q*q)**(22/7)*(q**(9/5)*q*q*q*q)/(q/(q/q**(-2/5))) assuming q is positive. q**(929/70) Simplify (g**5/g)**28/(g**(-2))**(3/20) assuming g is positive. g**(1123/10) Simplify (g**0/g)**32/(g*g*((g/(g/((g**9/g)/g)))/g)/g*g**(-3/11)/g) assuming g is positive. g**(-415/11) Simplify ((p/(p/p**1)*p)/p*p/p**18)/((p**(-3/11)/p)/p*p)**(-3/2) assuming p is positive. p**(-197/11) Simplify (n**(-4))**(-25)*n**13/n**(1/29) assuming n is positive. n**(3276/29) Simplify ((k**(-2)*k*k)/k**(3/2)*k/k**(-2/25)*k*k*k**7*k)**42 assuming k is positive. k**(10059/25) Simplify (t**(-24)*t/t**(1/6))/(t/t**(1/4))**(-41) assuming t is positive. t**(91/12) Simplify ((((y/y**5)/y*y)/y)/y**(-7/3))/(y**(1/6)/y)**48 assuming y is positive. y**(112/3) Simplify (q**(-16)/q*q*q**(1/19)*q)/(q*q*q*q**19)**(14/3) assuming q is positive. q**(-6704/57) Simplify ((((d**(-2/3)/d)/d)**(17/3))**(-26))**(-6/7) assuming d is positive. d**(-7072/21) Simplify (z**7*z**(2/21))/(z**23*z*(z**(-3/7)/z)/z) assuming z is positive. z**(-304/21) Simplify (v/(v/(((v*((v*(v**3/v)/v*v*v)/v)/v*v)/v)/v)))**11/(v*v/v**(12/7))**(1/23) assuming v is positive. v**(3540/161) Simplify ((m/(m/(m/(m*m*(m*m**(-1/4))/m)*m))*m)/m*m**(1/9)*m*m/m**3*m**1)**(-13) assuming m is positive. m**(-169/36) Simplify (z**(-25)/z*z**(-2/7))/(((z*z*z*z*z**36*z)/z)/((z**(-27)*z*z)/z)) assuming z is positive. z**(-646/7) Simplify (h*h*h**12*h*h**(4/3)/h)/(h/(h*((h**(-8)*h)/h)/h))**(8/17) assuming h is positive. h**(566/51) Simplify ((h/(h*h**0/h)*h)/h)**(-3/43)/(h*h**(-2/7)*h)**(19/6) assuming h is positive. h**(-1655/301) Simplify ((q/((q/q**(1/9)*q*q)/q*q))/q**16)/(q**(-2/13))**32 assuming q is positive. q**(-1517/117) Simplify (h**(3/2)/((h*h**2)/h)*h**7/h*h**2/h)**26 assuming h is positive. h**169 Simplify ((r/(r/(r*r*r/(r**(-1/2)/r)))*r)/r**(-3/2))/(((r*r**0)/r)/r)**(7/9) assuming r is positive. r**(70/9) Simplify (a**(2/9)*a*(a**2/a)/a*a)/(a*a*(a/(a*a*a**(-12)))/a*a**2) assuming a is positive. a**(-106/9) Simplify ((d*d**(2/3)/d*d**(-6))/((d*d**(-10)*d*d)/d*d/(d*(d*d**6)/d)))**(-5) assuming d is positive. d**(-130/3) Simplify (x**8/x*x)/(x*x/(x/(x*x*x/((x/(x**(9/4)*x))/x)*x)))*(x**0)**(-21) assuming x is positive. x**(-1/4) Simplify (((p**(-1))**(1/40))**(-6))**(-21) assuming p is positive. p**(-63/20) Simplify k**16*k**(-1/10)*(k**(-5/8)/k*k)**(2/5) assuming k is positive. k**(313/20) Simplify (((y*y**(-1/4))**(2/67))**(-10/3))**(-10/7) assuming y is positive. y**(50/469) Simplify (f**10*(f*f**19)/f)**(2/13) assuming f is positive. f**(58/13) Simplify ((a**1/a**(-9))**(-49))**(-2/101) assuming a is positive. a**(980/101) Simplify (g*g**34*g**(-19/2))/(g**35*g*g*g**(5/4)) assuming g is positive. g**(-51/4) Simplify (z**(-3/10)/z**(11/3))/(z/z**(-3))**(-10/17) assuming z is positive. z**(-823/510) Simplify (j**(-1/6)/j*j)**17*j**(2/3)/j*j**(-12)/j assuming j is positive. j**(-97/6) Simplify (d*d**16*d*d*d**(4/13))/(d**6/d*(d*((d/d**(-27)*d)/d)/d)/d) assuming d is positive. d**(-165/13) Simplify ((((n/n**(-1))/n*n*n)/n)/n)/n**14*n*n/(n**(2/37)/n)*((n*n/(n**(-11)*n*n*n)*n*n)/n*n)/n*n assuming n is positive. n**(72/37) Simplify y**(-23)*y/y**(-17)*y*(y**(1/3))**(-2/49) assuming y is positive. y**(-590/147) Simplify (c**1*c**(12/11)*c)/((c**7/c*c)/(c*c**(-1/10))) assuming c is positive. c**(-331/110) Simplify ((o**4)**(4/7)*o**(6/7)/((o*o/(o*o**(3/4)))/o))**(-10/11) assuming o is positive. o**(-545/154) Simplify (u*u**24/u)/(u/(u/u**(-10))*u)*(u/(u*u*u/(u/(u*u**1))*u*u))**(-2/71) assuming u is positive. u**(2353/71) Simplify (m*m*m*m**(2/31)*m**(1/21)*m)/((m*m*m/m**(3/10)*m)/m**(3/7)) assuming m is positive. m**(5473/6510) Simplify (f**(-1/16)/f)**41*f**(-1/3)*((f**(-33)/f)/f)/f assuming f is positive. f**(-3835/48) Simplify (w**(5/6)*w**(-10))/(w**10*w**(4/7)) assuming w is positive. w**(-829/42) Simplify (n**(-1/3))**(-39)/(n**9)**(-1/40) assuming n is positive. n**(529/40) Simplify (((r/(r**(2/47)/r))/r)/r**(-12/13))/((r*r*r*r*r/(r*r/(r/(r/(r*r*r**5*r*r*r)*r))))/(r/(r*r**(-1/17)))) assuming r is positive. r**(-104500/10387) Simplify (a*a*a*a**(1/3)/a)**44/(a**(1/4)*a/(a*a**(-1/10))) assuming a is positive. a**(6139/60) Simplify ((y*y/(y**(-1/4)*y)*y)**5/((y/y**(1/9)*y)/(y*y/(y*y/(y**6/y)))))**(1/5) assuming y is positive. y**(517/180) Simplify (((a*a**7*a*a)**37)**(-41))**20 assuming a is positive. a**(-303400) Simplify (v*v*v**(1/7)*v*v**(-2/17)/v*v)/(v/(v*v**5)*v**(-2)) assuming v is positive. v**(1193/119) Simplify (p*p**(-2/7))**(-4/5)/((p*p**(7/6))/p*p/p**(-22)) assuming p is positive. p**(-1039/42) Simplify (d**(-34)/d**(-34))**19 assuming d is positive. 1 Simplify (f*(f*f**(-11/3)/f)/f*f*f*f*f*f**(-9))/(f**(5/4)/(f/(f*f**(6/11)))) assuming f is positive. f**(-1381/132) Simplify (t*t**(-2/5)*t*(t/t**(-5))/t*t**0/t**(2/9))**(-43) assuming t is positive. t**(-12341/45) Simplify ((a**2*a**(2/9))/(a*a*a**1)**(-4/23))**46 assuming a is positive. a**(1136/9) Simplify (v*v/((v**7*v)/v)*v)**(-36)/(v**(4/11)*v*v/v**(-17)) assuming v is positive. v**(1371/11) Simplify z/z**8*z/(z**(3/10)/z)*(z**(-2/15))**(-18/13) assuming z is positive. z**(-133/26) Simplify j/j**(1/2)*((j*j/j**4*j)/j)/j*j/(j*(j*j**(-7))/j)*j**(2/5) assuming j is positive. j**(49/10) Simplify (f*f**(-2))**0*f/(f*f*f/(((((f/(f/f**(-6/11))*f)/f)/f)/f)/f*f))*f*f**(3/5)*f assuming f is positive. f**(-107/55) Simplify s**(-2/7)/s**14*(s*s**(2/9)*s)**(17/2) assuming s is positive. s**(290/63) Simplify ((f*f**(-20))**(-1/14))**(-17) assuming f is positive. f**(-323/14) Simplify (k/(k*k/(k*k/k**(-1/56)*k)))**0/((k/k**(3/5))/k**(-1/64)) assuming k is positive. k**(-133/320) Simplify d**(27/2)/d**12*((((d*d**24/d*d*d)/d)/d)/d)**(-13/5) assuming d is positive. d**(-583/10) Simplify (l*l/(l*l*l/l**(-3))*l/(l/l**(-2/7)*l))/(l**10/((l**(-1/2)*l)/l)) assuming l is positive. l**(-221/14) Simplify (i*i/(i*i/(i/i**(-2/13))*i))/i*(i**2*i)/i*i*i**(-2/47)*i**(-5/6)*i*i assuming i is positive. i**(12017/3666) Simplify (k**(3/7)*k)**25*(k*k**(-1/3))**(-1/23) assuming k is positive. k**(17236/483) Simplify ((o**(-5/8)/o)/o*o**3/o)/(o**7*o*(o/o**(20/9)*o)/o) assuming o is positive. o**(-533/72) Simplify ((q**(-2/3))**(-14/11)*q**(-4)*q**(3/7))**(-26) assuming q is positive. q**(16354/231) Simplify (a*((a/(a*a**1*a))/a)/a*a*a)**(-19/3)*((a/a**(-12))/a*a)/(((a*(a/a**(8/7))/a)/a)/a*a) assuming a is positive. a**(430/21) Simplify ((n**(-7)*n**(-28))**(-2/43))**(-7/6) assuming n is positive. n**(-245/129) Simplify ((g**(-2/13)*g)/(g*g**30))/((g**13/g)/(g*g*g/(g*g*g*g**(-5/2)/g*g))) assuming g is positive. g**(-1031/26) Simplify h/(h**(-1)*h)*h/h**(-16)*(h/((h/h**(-3/2))/h*h*h))**33 assuming h is positive. h**(-129/2) Simplify (z*z**(-18))**17/(z/z**7)**44 assuming z is positive. z**(-25) Simplify (o**(4/11)*o*o**(-1/3)*o*o*o*o)/((o*o/(o*o*o*o**(1/4)*o*o*o))/(o/(o/((o*o**(-5))/o*o)))) assuming o is positive. o**(697/132) Simplify ((v/(v*v*v/(v*v/(v/((v*v/v**11)/v)))*v))/(v/v**(-2/27)))**33 assuming v is positive. v**(-3883/9) Simplify ((o/((o/o**(2/15))/o)*o)/o**(2/5)*((o*o**(-3/4))/o)/((o*o/o**(-3))/o))**(-1/10) assuming o is positive. o**(181/600) Simplify (((l/(l*(l/(l/(l**(-6)*l)))/l)*l)/l)/l*l)**(14/5)/(l**29*l**(-8/11)) assuming l is positive. l**(-631/55) Simplify ((p/(p**(-22)*p)*p)/p*p**(-6))**(-1/7) assuming p is positive. p**(-16/7) Simplify (((((u/((u*u**(-1))/u)*u)/u)/u)/(u**1*u))**22)**(2/31) assuming u is positive. u**(-44/31) Simplify ((j/j**(2/13))/j)**(4/7)*j**(-15)/((j**6/j)/j*j) assuming j is positive. j**(-1828/91) Simplify (p/p**(-2)*p)**(-1/3)/(p*p**(3/5))**19 assuming p is positive. p**(-476/15) Simplify ((g/g**(-3/20))/g)**40*g**(14/3)*g**3 assuming g is positive. g**(41/3) Simplify ((y*y**29)/y)/(y/(y*y/y**(-19)))*(y/(y*y/(((y*y**(2/27))/y)/y*y)*y))**(1/22) assuming y is positive. y**(14527/297) Simplify (p**(1/3))**(-4)*(p**(-2/1
{ "pile_set_name": "DM Mathematics" }
at is the units digit of u? 4 Let s be 1/2 + (-39)/2 - -3. What is the tens digit of (-8)/2*(-2)/s*-122? 6 Let u(g) = g - 8. Let a(c) = -c**2 - 8*c - 5. Let j be a(-5). Let l be u(j). Suppose 4*q - 130 = p, l*q - 2*p - 62 = -0*q. What is the tens digit of q? 3 Let n(j) = j**3 + j + 2. Suppose -5*l = -l. Let w be n(l). Suppose w*h = -h + 24. What is the units digit of h? 8 Let g = -34 - -24. Let l = g + 11. What is the units digit of (3/(-5))/(l/(-5))? 3 Let t(y) = -9*y - 1. Let a be t(-2). Let z = -98 + 96. Let p = z + a. What is the units digit of p? 5 Suppose -3*b - 3*c + 819 = 0, 5*b - 345 = c + 996. What is the tens digit of b? 6 Let g = -76 - -10. Let w be 8/2*g/(-8). Suppose 5*f = w + 87. What is the tens digit of f? 2 Let f be (-26)/(-4) - (-2)/4. Let z(u) = -u + 23. Let c be z(11). Suppose -f*k + c*k - 135 = 0. What is the units digit of k? 7 Let b = -116 + 115. What is the tens digit of ((-912)/(-51) - b) + 6/51? 1 Let p = -2101 - -4133. What is the units digit of p? 2 Suppose 111 = -2*j - h + 1026, 1375 = 3*j - h. What is the tens digit of j? 5 Let o be (12/(-21))/((-16)/2408). Let t = o - 26. What is the units digit of t? 0 Let k be 11/(-22) + (-1226)/(-4). Suppose -k = 9*y - 2295. What is the tens digit of y? 2 Suppose 0*h + 5*h + 5 = 0. Let v(o) = 65*o**2 - o - 2. Let m be v(h). Let f = -36 + m. What is the units digit of f? 8 Let d = 284 + -96. What is the tens digit of d? 8 Suppose 0 = -4*o - 11 + 87. Suppose 0 = o*w - 16*w - 6. Suppose 2*x = j - w*j - 2, 4*x + 5*j + 16 = 0. What is the units digit of x? 1 Let m(z) be the third derivative of -z**6/60 - z**5/15 - z**4/12 + 5*z**2. Let a be m(-2). What is the tens digit of (a - -8)*4/3? 1 Let l = -32 - -65. Let t = l + -35. What is the tens digit of (3 + t)*-1*-12? 1 What is the hundreds digit of 20/(-5) - 1420/(-4)? 3 Suppose 5*d - 4*n + 279 = 0, 2*d - 3*n - n = -114. Let p = -20 - d. What is the units digit of p? 5 What is the hundreds digit of (-561)/34*(-136)/3? 7 What is the tens digit of 22/6*4*8694/72? 7 Suppose -9 = -5*n + 26. Suppose 0 = 3*i - n*i + 4. What is the units digit of (-1 - i)/(20/(-250))? 5 Let j = 33 - 29. Suppose 3*a - j*k - 202 = 0, -4*a + 5*k = -370 + 101. What is the tens digit of a? 6 Suppose 0 = -3*u + 1 - 7, 695 = 5*v + 5*u. Suppose 6*b - 3*b - i = -305, 5*b + 5*i = -495. Let r = b + v. What is the tens digit of r? 4 Let r(u) = 3*u + 52. Let x(z) = -5*z - 105. Let d(n) = -7*r(n) - 3*x(n). What is the tens digit of d(-14)? 3 Suppose -52160 = -14*r - 4756. What is the hundreds digit of r? 3 Let y(f) = 32*f**3 - 3*f**2 + 20*f - 11. What is the units digit of y(5)? 4 Suppose 4*l - 2608 = -i - 3*i, 4*l = -20. What is the tens digit of i? 5 Suppose -12581 = -19*g + 2486. What is the tens digit of g? 9 Let w = 75 - 80. What is the tens digit of (-892)/w - ((-165)/25 - -7)? 7 Suppose -5 = -3*r - 5*o, -2*r = -4*o + 3*o - 25. Suppose -4*m + 5*q + 5 = -21, r = -5*q. Suppose -n + m*n - 48 = 0. What is the tens digit of n? 1 Let u = 31 + -35. Let m be 2 + u/(16/(-124)). Suppose p - m = -0*p. What is the tens digit of p? 3 Suppose -13*m = -10*m - 24. Let n(o) = -10*o + 8. Let p(q) = -q + 1. Let r(f) = n(f) - 12*p(f). What is the tens digit of r(m)? 1 Suppose -2*z = -10*z + 32. Suppose z*m + 6*m = 2740. What is the tens digit of m? 7 Let u(y) = 3*y + 2. Let c = 0 + 6. Let i be u(c). Suppose -i = -4*w - w. What is the units digit of w? 4 What is the units digit of 1838*(-3 - (-21)/6)? 9 Suppose 3*p = 3*v - 258, -p = -4*v - 0*p + 350. What is the tens digit of v? 8 Let g = -145 + 256. Let a = 188 - g. What is the units digit of a? 7 Let a(m) be the second derivative of -m**4/12 - 3*m**3/2 - m**2 + m. Let p = -82 + 77. What is the tens digit of a(p)? 1 Suppose 19*g + 38*g - 157377 = 0. What is the hundreds digit of g? 7 Let t be 2*((-15)/(-2))/5*1. Let d(u) = 5*u**2 + 2*u + 4. What is the units digit of d(t)? 5 Suppose -4*v - v - 15 = 0. Let j(c) be the second derivative of -c**3/2 + 2*c**2 - 22*c. What is the units digit of j(v)? 3 Let q(g) = -5*g**2 + 3*g + 4. Let m be q(3). Let u = 467 - 520. Let c = m - u. What is the units digit of c? 1 Let z = 1 - -5. Let h(t) = -3*t + t**2 + 6*t + z - 14. What is the units digit of h(-6)? 0 Suppose 0 = -21*p + 26*p. Suppose -11*b + 0*b + 957 = p. What is the tens digit of b? 8 What is the thousands digit of (-2)/(-3)*(-235179)/(-42)? 3 Suppose 203 = 9*g - 742. Suppose -3*t - g = -4*l + 92, -t + 111 = 2*l. What is the tens digit of l? 5 Let d(g) = 10*g - 78. Let s be d(8). Suppose 5*y = -15, y + 126 = 3*u + s*y. What is the tens digit of u? 4 Suppose 2*m - 20 = -4*v + m, 4*v = -5*m + 20. Suppose 2*l - 161 = -0*l + v*t, t = -3. What is the tens digit of l? 7 Let z = -24 - -21. Let f be (1/z)/((-1)/(-39)). Let b = 28 + f. What is the tens digit of b? 1 Suppose -2 - 7 = -3*b. Suppose 0 = -5*u + r + 180 - 4, 2*u - 4*r = 74. Suppose b*a - 6*o = -o + 24, 2*a = -3*o + u. What is the units digit of a? 3 Suppose 4*p = 2*m + 7568 - 1528, 5*p - 7565 = -5*m. What is the hundreds digit of p? 5 Let m be (-56)/6 - 32/(-24). Let i(o) = -o**3 - 6*o**2 + 3*o + 10. What is the tens digit of i(m)? 1 Let a(w) = w + 85. What is the units digit of a(-8)? 7 Suppose -2*s + 925 = -541. What is the units digit of s? 3 Let c = 25 - -8. Let g be (-1)/(-1) - 3 - c. What is the tens digit of (-1375)/g + 4/(-14)? 3 Let f = 460 - 19. Suppose -4*i = 3*i - f. What is the units digit of i? 3 Let g = -22 + 43. What is the units digit of g/6*28 - (-8 + 6)? 0 Let m(z) be the third derivative of -z**6/20 - z**5/10 - 7*z**4/24 + 18*z**2. What is the tens digit of m(-2)? 3 Suppose -o = 0, 3*j + j = o. Suppose -3 = 3*t - 4*v, j*t = t + 2*v + 1. What is the tens digit of (t + 3 - 1)*11? 1 Let b(i) = 24*i**2 + 52*i - 262. What is the hundreds digit of b(5)? 5 Let w be 8*((-12)/(-16) + 1). Let x(c) = 2*c**2 - 19*c - 7. What is the units digit of x(w)? 9 What is the tens digit of ((-8799)/(-14) - -3)*4/6? 2 Let i(t) = 2*t. Let m be i(1). Suppose f - 4*o = -o - 45, 100 = -4*f - 4*o. What is the units digit of m*f/(-4) - 2? 3 Let m(a) be the third derivative of -a**4/6 + a**3/6 + a**2. Let x be m(-1). Suppose 0 = -i - x*f + 33, -3*f - f = 3*i - 66. What is the units digit of i? 8 Suppose 5*j = 31 + 174. Suppose 0 = -4*m - 3*m + 35. Suppose m*f - c = 2*c + j, 5*f + 2*c = 31. What is the units digit of f? 7 Let b(x) = 72*x. Let l be b(-2). Let v = 247 + l. What is the tens digit of v? 0 Let x = -1686 + 2950. What is the units digit of x? 4 Let x = 73 + -82. What is the units digit of x/15 + (-624)/(-15)? 1 What is the tens digit of 381820/136 - (-1)/(0 + 2)? 0 Suppose -2*x - 79 = -263. Suppose -2*d - x = -2*r + d, -3*d - 239 = -5*r. What is the tens digit of r? 4 Suppose 0 = -33*h + 4*h + 9164. What is the hundreds digit of h? 3 Suppose 0 = 14*z - 2 - 54. Suppose 68 = z*a - 336. What is the tens digit of a? 0 Let s = -19 + 59. Let k = 79 + s. What is the units digit of k? 9 Suppose -13*a = -0*a + 104. Let f(q) = -q**3 - 9*q**2 - 9*q + 10. What is the units digit of f(a)? 8 Suppose 2 = 5*w + 4*x - 43, x = -2*w + 15. Let n be 14*(w/2 + -2). What is the units digit of 39/2 + n/14? 0 Let m be 78/15 + 5/(-25). Suppose -4 = -2*q, m*q = g + 3*g - 206. What is the units digit of g? 4 Suppose -4*f + 955 = -13. What is the units digit of f? 2 Suppose -60 = 7*c - 3*c. What is the units digit of -1*(10/c + (-741)/9)? 3 Let q(g) = -2*g - 3. Let f be q(-3). Suppose 4*a + 0*x = 4*x + 456, 2*x - 317 = -f*a. What is the units digit of a? 9 Suppose 0 = 7*s - 8*s - 441. Let n = s + 643. What is the hundreds digit of n? 2 Let o(t) be the first derivative of -9*t + 3/2*t**2 - 3. What is the tens digit of o(7)? 1 Suppose -7*k = -3732 - 6761. What is the tens digit of k? 9 Let t(z) = z**3 - 2*z**2 + 2*z - 2. Let x be t(2). Suppose -2*y = 0, -y + 21 - 183 = -x*o. What is the tens digit of o? 8 Let k = 77 - 7. What is the units digit of (-4)/14 + 4500/k? 4 Suppose -2*q + 3 = -5. Suppose 0 = -0*c - q*c + 12. What is the units digit of ((-2)/c)/(3/(-36))? 8 Suppose -220 = 5*p + 40. Let m = p - -88. What is the tens digit of m? 3 Suppose 3*y - 4*n = n + 2, -2*y + 5*n - 7 = 0. Let r be 15*1*y/15. Suppose -29 + r = -b. What is the units digit of b? 0 Let h(q) be the first derivative of q**3/3 - 3*q**2 - 3
{ "pile_set_name": "DM Mathematics" }
of 31067 and 47? 47 Calculate the greatest common factor of 297 and 11. 11 Calculate the highest common divisor of 72 and 4488. 24 What is the greatest common divisor of 1026 and 54? 54 What is the highest common factor of 3950 and 158? 158 What is the highest common divisor of 1424 and 16? 16 What is the greatest common factor of 3080 and 110? 110 What is the greatest common factor of 24 and 24? 24 What is the highest common factor of 1875 and 6? 3 Calculate the highest common factor of 35632 and 68. 68 What is the greatest common factor of 392 and 616? 56 What is the greatest common factor of 6893 and 244? 61 What is the highest common divisor of 260 and 7904? 52 What is the highest common factor of 45 and 54? 9 What is the greatest common factor of 31 and 3193? 31 Calculate the highest common factor of 72 and 180. 36 Calculate the highest common factor of 126 and 518. 14 Calculate the highest common factor of 280 and 504. 56 Calculate the greatest common factor of 6960 and 60. 60 Calculate the highest common factor of 1120 and 1232. 112 Calculate the highest common divisor of 182 and 104. 26 What is the greatest common factor of 387 and 54? 9 Calculate the greatest common factor of 229 and 23129. 229 What is the highest common divisor of 88 and 55? 11 What is the highest common divisor of 2146 and 74? 74 What is the highest common divisor of 110 and 80? 10 What is the greatest common factor of 2054 and 104? 26 Calculate the greatest common divisor of 158 and 553. 79 What is the greatest common factor of 12 and 21? 3 Calculate the greatest common divisor of 3346 and 14. 14 What is the greatest common divisor of 244 and 16? 4 What is the highest common factor of 4 and 15852? 4 What is the highest common factor of 2924 and 172? 172 Calculate the highest common divisor of 441 and 49. 49 Calculate the highest common divisor of 6 and 150. 6 Calculate the greatest common factor of 40 and 25. 5 What is the greatest common factor of 18 and 882? 18 What is the greatest common divisor of 55 and 18689? 11 What is the greatest common factor of 4 and 36? 4 Calculate the highest common factor of 49 and 14. 7 What is the highest common divisor of 4416 and 69? 69 Calculate the highest common factor of 6 and 10. 2 What is the highest common factor of 110 and 2365? 55 What is the highest common factor of 7 and 413? 7 What is the greatest common divisor of 608 and 114? 38 Calculate the greatest common divisor of 3498 and 198. 66 Calculate the greatest common divisor of 2410 and 20. 10 Calculate the highest common divisor of 798 and 24. 6 Calculate the highest common factor of 30 and 52. 2 What is the highest common factor of 96 and 792? 24 Calculate the highest common factor of 1 and 5791. 1 Calculate the greatest common factor of 51 and 37179. 51 What is the highest common factor of 7857 and 81? 81 Calculate the greatest common divisor of 15 and 990. 15 What is the highest common factor of 88 and 22? 22 Calculate the greatest common factor of 120 and 90. 30 Calculate the highest common divisor of 1236 and 3. 3 What is the greatest common factor of 35 and 6685? 35 Calculate the highest common factor of 25648 and 84. 28 Calculate the greatest common factor of 22 and 10538. 22 What is the highest common factor of 5 and 755? 5 Calculate the greatest common factor of 81 and 3. 3 Calculate the highest common factor of 56 and 1008. 56 Calculate the greatest common divisor of 404 and 100. 4 Calculate the highest common divisor of 536 and 2546. 134 Calculate the highest common divisor of 98 and 2646. 98 What is the greatest common divisor of 9 and 1395? 9 Calculate the greatest common divisor of 124 and 310. 62 What is the greatest common factor of 22 and 418? 22 What is the highest common factor of 22201 and 149? 149 What is the highest common divisor of 629 and 51? 17 Calculate the greatest common divisor of 56 and 294. 14 Calculate the highest common factor of 108 and 36. 36 What is the greatest common divisor of 3720 and 1230? 30 What is the highest common factor of 1691 and 267? 89 Calculate the greatest common divisor of 112 and 161. 7 Calculate the highest common factor of 280 and 1610. 70 Calculate the greatest common factor of 24 and 48. 24 What is the highest common factor of 4104 and 4446? 342 Calculate the greatest common divisor of 58 and 1189. 29 What is the greatest common divisor of 21 and 81? 3 Calculate the highest common factor of 7 and 52. 1 Calculate the greatest common factor of 315 and 180. 45 What is the greatest common factor of 693 and 77? 77 What is the greatest common factor of 1159 and 76? 19 What is the highest common divisor of 125 and 675? 25 Calculate the highest common divisor of 1024 and 16. 16 What is the greatest common divisor of 738 and 72? 18 Calculate the greatest common divisor of 51 and 663. 51 What is the highest common factor of 102 and 374? 34 What is the highest common divisor of 78 and 18? 6 What is the highest common divisor of 2379 and 61? 61 Calculate the highest common divisor of 25 and 25. 25 Calculate the highest common divisor of 40 and 13110. 10 Calculate the greatest common divisor of 14650 and 50. 50 Calculate the highest common divisor of 85028 and 116. 116 Calculate the greatest common factor of 162 and 45. 9 What is the highest common factor of 40 and 8? 8 What is the greatest common divisor of 25 and 1475? 25 Calculate the greatest common divisor of 69 and 2760. 69 What is the highest common factor of 290 and 348? 58 What is the greatest common factor of 15 and 95? 5 Calculate the greatest common divisor of 3699 and 18. 9 Calculate the greatest common factor of 90 and 720. 90 Calculate the greatest common divisor of 1064 and 168. 56 What is the highest common divisor of 133 and 91? 7 What is the highest common divisor of 1547 and 884? 221 Calculate the highest common factor of 338 and 624. 26 What is the highest common divisor of 26754 and 78? 78 What is the highest common divisor of 6254 and 106? 106 What is the highest common factor of 4 and 239? 1 Calculate the greatest common divisor of 3645 and 162. 81 Calculate the greatest common divisor of 728 and 234. 26 What is the highest common divisor of 38 and 18658? 38 Calculate the highest common divisor of 1786 and 19. 19 What is the greatest common factor of 33 and 90? 3 Calculate the highest common factor of 34 and 68. 34 What is the highest common divisor of 2032 and 32? 16 Calculate the highest common divisor of 1620 and 240. 60 What is the greatest common factor of 8483 and 2994? 499 What is the highest common divisor of 6969 and 138? 69 What is the highest common divisor of 73 and 73? 73 What is the greatest common divisor of 154 and 105? 7 Calculate the greatest common factor of 93 and 1550. 31 What is the highest common divisor of 39 and 741? 39 What is the greatest common divisor of 8 and 1128? 8 What is the greatest common factor of 119 and 68? 17 Calculate the highest common factor of 119 and 7. 7 What is the greatest common factor of 180 and 378? 18 Calculate the greatest common factor of 16 and 7984. 16 Calculate the greatest common factor of 1110 and 60. 30 What is the highest common factor of 156 and 708? 12 What is the greatest common factor of 22 and 1507? 11 Calculate the highest common factor of 24460 and 20. 20 What is the greatest common divisor of 14 and 1442? 14 What is the greatest common divisor of 3 and 58? 1 What is the greatest common factor of 265 and 159? 53 What is the highest common divisor of 232 and 216? 8 What is the highest common divisor of 588 and 1029? 147 Calculate the highest common divisor of 45 and 9. 9 Calculate the greatest common divisor of 899 and 551. 29 What is the greatest common factor of 1860 and 15? 15 Calculate the highest common factor of 1 and 79. 1 Calculate the greatest common divisor of 3991 and 13. 13 What is the highest common factor of 131 and 30523? 131 What is the greatest common divisor of 57 and 304? 19 Calculate the highest common divisor of 88 and 1166. 22 Calculate the highest common divisor of 2076 and 9. 3 What is the highest common factor of 6 and 3? 3 What is the greatest common factor of 27 and 4590? 27 What is the highest common factor of 288 and 264? 24 Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
, 0, 1, 2 Let q = 7 - 8.4. Let j = q - -1. Put -4, 0.2, j in ascending order. -4, j, 0.2 Let h be (-2 - -1)*18/(-3). Suppose 0 = 12*b - h*b - 24. Let k be (-5)/((-3 + 1)/2). Sort k, 2, b in descending order. k, b, 2 Let h = 7 - 3. Suppose 0*v - 2*u = 4*v - 12, h*v - 3*u = 2. Let y = -1/6 - -1/42. Sort y, v, -2 in decreasing order. v, y, -2 Let y be (-23)/((2/10)/(2/(-5))). Sort 2/9, y, 0.5 in decreasing order. y, 0.5, 2/9 Let p = 12 - 5. Let k be (p + -5)*-1*1. Let h be 1/((-6)/(-4) + k). Sort 4, h, 2. h, 2, 4 Let d = -260/3 + 86. Suppose -j = -2*j + 4. Let l be 2/j - 2*1. Put 0.4, l, d in descending order. 0.4, d, l Suppose -4*n - 1 = -5. Suppose 0 - n = -f. Let b be (-2)/2*(f - 0). Sort -5, b, 3. -5, b, 3 Suppose -f - 3*j = f - 20, -5*f = -4*j - 4. Let z(g) = g - 3. Let b be z(4). Put -4, f, b in ascending order. -4, b, f Suppose 0 = -m - 0 + 3. Suppose -m*q = -5*q - 8. Suppose 3*b + i + 9 = 0, 2*b - 2*i + 6 = -4*i. Sort 1, q, b in descending order. 1, b, q Let x(g) = -g**2 - 20*g - 27. Let u be x(-18). Put -5, u, -1 in decreasing order. u, -1, -5 Let r(s) = s + 3. Let x be r(-2). Let z = 3 - -2. Sort z, 0.5, x in decreasing order. z, x, 0.5 Let t = 2.6 + 0.6. Let x = t + -0.2. Put 1/5, 6, x in decreasing order. 6, x, 1/5 Let t = 29 - 24. Put 2, 4, t in increasing order. 2, 4, t Suppose -b = 2*d - 0*b + 12, -5*d + 2*b - 21 = 0. Sort 3, -3, d in ascending order. d, -3, 3 Suppose 4*n + 20 = -5*k, -3*k + 5*k = -4*n - 20. Let z(o) = 2*o - 15. Let x be z(10). Sort n, x, 1 in increasing order. n, 1, x Suppose -10 = -4*d - 6. Put 11, 2, d in decreasing order. 11, 2, d Let r = 15 - 10. Let q be (-2)/r + 54/10. Sort q, 0, -5 in decreasing order. q, 0, -5 Let n = -6 + 1. Sort n, -2, 3 in descending order. 3, -2, n Let r = -0.3 + -17.7. Let w = -22 - r. Put -7, -1/2, w in ascending order. -7, w, -1/2 Let o(l) = l**3 + l**2 - 2*l + 1. Let c be o(-2). Let d be 4/((-4)/(3 + c)). Sort -1, 4, d in descending order. 4, -1, d Suppose -3*n = -0 - 12. Put 1, n, 0, 2 in descending order. n, 2, 1, 0 Let a = -0.67 + -2.33. Put 5, a, 0.1 in decreasing order. 5, 0.1, a Let j be -1*4/(1 + 27). Sort j, -0.03, 4. j, -0.03, 4 Let g be 1/(4/(-20) + 68/240). Sort 0, g, 3, -4 in decreasing order. g, 3, 0, -4 Let q = -4 + 4. Let g be (1 + 0)*4/4. Sort 5, g, q in decreasing order. 5, g, q Let d = 5.4 - 5. Let s = -2.4 + d. Let l be (2 - 605/297)/(1/(-6)). Put l, -3/7, s in descending order. l, -3/7, s Let t(y) = y + 5. Let x = 0 + -6. Let w be t(x). Put 3, w, 0 in descending order. 3, 0, w Let l = -0.1 - 0.1. Sort -6, -0.1, l. -6, l, -0.1 Let s(u) = u - 2. Let y be s(6). Sort 0, -2, y. -2, 0, y Let t = 1 + -1.2. Let r = 0.1 - 0.08. Let v = r + -0.12. Sort t, 0.1, v in ascending order. t, v, 0.1 Suppose -4*u + 101 = 89. Put 0, -5, 2, u in decreasing order. u, 2, 0, -5 Let p be 1/(-3)*0*3/(-15). Put 2/29, -1, -2/3, p in ascending order. -1, -2/3, p, 2/29 Suppose -h - 3*t = -4, -4*h + 2*t = -7*h - 9. Let u = -159 - -161. Sort -1, u, h in decreasing order. u, -1, h Let w be ((-1)/((-2)/(-6)))/1. Suppose -4*k = 2*r - 26, 0*r = -r + 2*k - 3. Put 7, r, w in decreasing order. 7, r, w Let y(g) = -g**3 + 2*g**2 + 5*g - 4. Let n be y(3). Sort 1, n, 4, -5 in descending order. 4, n, 1, -5 Suppose 0 = 4*r - 7*r, 2*r = -w + 2. Suppose -3*q - y - 13 = -2*y, -y = -2*q - 10. Sort w, q, -4 in decreasing order. w, q, -4 Let v = -3.3 + -0.7. Let n = -0.1 - -0.1. Let f = -13 + 18. Put v, n, f in decreasing order. f, n, v Let h be 92/(-22) - 6/(-33). Let u be (-3)/9*(-30)/h. Sort u, -3, 1/6 in increasing order. -3, u, 1/6 Let c be 4*(-2)/((-2)/(-1)). Let t(z) = -26*z + 357. Let b be t(14). Put c, 3, b in increasing order. b, c, 3 Let x = 9 - 13. Sort 5, 0, x in decreasing order. 5, 0, x Let f = 7 + -16.5. Let c = 9 + f. Put 5, -1, c in descending order. 5, c, -1 Suppose 3*z - 4 = -10. Suppose 0 = -y + 2*y. Put y, z, 2 in decreasing order. 2, y, z Let g be (-2)/(-4) + 1/(-10). Suppose 0 = -x + 49 - 14. Let n be 4/(-10) - 91/x. Sort n, g, -1/9 in descending order. g, -1/9, n Let f = -90 + 89.9. Sort -3, -2/11, f, 5/2 in descending order. 5/2, f, -2/11, -3 Suppose 0 = -10*z + 5*z - 25. Let y = -8 - z. Put -4, 0, y in ascending order. -4, y, 0 Suppose 9*t + 29 = -5*a + 5*t, -a - 5*t = 10. Sort 5, -3, a, 3 in decreasing order. 5, 3, -3, a Let m be 0/2*(-20)/80. Let n = -0.3 + -0.7. Put m, n, -0.1 in descending order. m, -0.1, n Let n = -20 + 18.9. Let s = -0.72 + -0.08. Let l = n - s. Sort l, -3, 0.4 in decreasing order. 0.4, l, -3 Let i = -5 - -20. Suppose -4*w - i = w. Sort 2, w, -2 in descending order. 2, -2, w Let c = 19 - 4. Suppose 6*d = 9*d + c. Sort 3, -1, d in increasing order. d, -1, 3 Let l(n) = n + 2. Let x be l(0). Let v be (x - 0 - 10) + 3. Put 5, v, 3 in decreasing order. 5, 3, v Let n = 15 + -11. Let z be 3/((3 - n)/1). Sort -6, z, 5 in descending order. 5, z, -6 Suppose 3*y - y - 12 = 0. Suppose 2 + y = 2*b. Let x be ((-2)/4)/((-1)/2). Put b, -5, x in descending order. b, x, -5 Let j = -0.32 - -0.02. Let d be (-2)/(-10)*(10 + -7). Sort j, 1, d in ascending order. j, d, 1 Let v be (2 - -1) + 1 + -2. Let w = -1.01 + -1.99. Put 0.4, v, w in increasing order. w, 0.4, v Let m be (-2)/4*(12 + -14). Let p be 2 - 4/33*15. Put m, p, 2/17 in increasing order. 2/17, p, m Let f = 181 - 1451/8. Put 4/3, 0.4, f in increasing order. f, 0.4, 4/3 Let p = -39 + 37. Suppose -7*i + 2*i - 4*h + 20 = 0, -2*h = -i - 10. Sort i, p, -4 in decreasing order. i, p, -4 Suppose -c - 10 = -6*c. Let m be (-1)/(-2) - (-1 + 0). Let p = 129 - 129.1. Sort p, c, m in descending order. c, m, p Let c(v) = v**2 + 6*v + 2. Let b be c(-6). Let u be (10/15*-3)/2. Let i be 0 + -2 + (-15)/(-3). Put u, b, i in decreasing order. i, b, u Let v = 1.7 + -2. Suppose -2 = 2*k - 6. Sort 5, v, k. v, k, 5 Suppose -2*q = -0*q. Sort 5, q, 1 in decreasing order. 5, 1, q Suppose -b - 5 + 8 = 0. Let d(a) = 2*a - 2. Let u be d(b). Put u, 0, -4 in increasing order. -4, 0, u Suppose 27 = 3*v + 3*s, -3*s = -2*v - v + 3. Sort v, -0.1, -0.08. -0.1, -0.08, v Suppose 17 + 7 = 2*j. Let b be (-4)/j*(-3)/(-4). Put 3, b, -2/9 in increasing order. b, -2/9, 3 Let p be 837/81 + (8/(-6))/(-2). Sort 3, p, -2 in descending order. p, 3, -2 Let l = -22 - -6. Let t = l + 12. Sort 4, t, 2 in increasing order. t, 2, 4 Let k = 13 + -8. Suppose 3 = -3*h + 15. Sort h, k, 2. 2, h, k Let m(t) = -t + 2. Let y be m(-5). Suppose -6*h + 3*h + 12 = 0. Suppose 2*g + h = -2. Put 5, y, g in decreasing order. y, 5, g Let b = 1.5 - 0.4. Let g = 1.2 - b. Let w be (-5)/2 - 3/(-6). Put 4, g, w in increasing order. w, g, 4 Let c = -16 - -19. Sort -2, -8, c in descending order. c, -2, -8 Let k(x) = -x**3 + 4*x**2 + 6*x - 2. Let f be k(5). Suppose 2*a - a - f*g = 14, 4*a + 2*g = 0. Let j be 2*1/(-2) + -2. Put a, -1, j in decreasing order. a, -1, j Let i = -1/5 + 8/15. Sort -0.4, -1/2, i. -1/2, -0.4, i Suppose 12 = -0*q - 12*q. Let d = -0.1 - 0.1. Put d, -0.05, q in descending order. -0.05, d, q Let p = -2.4 + -1.6. Put p, 1/5, 1/2 in descending order. 1/2, 1/5, p Suppose l = -3*b - 3*l - 5, 2*b + 3*l = -5. Put 0.01, 2/3, b in decreasing order. b, 2/3, 0.01 Suppose 0 = -4*x - 4*m, -m = -2*x + m - 16. Let z be 28/2 - (4 + -5). Suppose -3*a - z = 5*t, -3*a - 2*t = -5*t + 15. Sort a, x, -1 in decreasing order. -1, x, a Suppose 0 = 4*j + v - 10 + 29, 5*j - 5*v = -5. Suppose -15 = 7*f - 2*f. Put 2, f, j in ascending order. j, f, 2 Let u(p) = 2*p - 3. Let q be u(5). Put -4, q, -3 in decreasing order. q, -3, -4 Let t be 0*(7/2 - 3). Let k = -3 - t. Put 0, -1, k in descending order. 0, -1, k Let j(l) = l**3 + 7*l**2 + 4*l - 5. Let r be j(-6). Suppose 6*v - 4 = r*v. Put -6, v, -1 in descending order. -1, v, -6 Let v be ((-16)/(-12))/((-4)/(-12)). Let o = -1 + 0. Put o, -2, v in decreasing order. v, o, -2 Let y = 209364/11 + -19048. Let b = -15 - y. Let r = -5 + 5.3. Put b, r, 2/9 in decreasing order. r, 2/9, b Let s be ((-30)/3)/(0 - 1). Suppose -5*z + 25 = s. Put -3, z, -5 in ascending order. -5, -3, z Suppose 2*l + w + 12 = 0, 5*w = -10 - 0. Let k be 20/(-2)*(-3)/6. Let g = -3 + k. Sort 3, g, l in ascending order. l, g, 3 Let u = -1.4 - -1.9. Sort u, -3, -2/3 in descending order. u, -2/3, -3 Let r = 45 + -48. Sort 0.2, r, -6. -6, r, 0.2 Let s = 172 + -174. Let m be (15 + 1)*(-1)/(-2). Suppo
{ "pile_set_name": "DM Mathematics" }
). Suppose 2*p - 3*l = -p + 9, -a*l + 12 = 4*p. What is the lowest common multiple of p and 6? 6 Suppose -8*b - 50 = -170. Calculate the least common multiple of b and 15. 15 Let b(w) = -2*w**3 + 15*w**2 - 7*w - 9. What is the least common multiple of 21 and b(6)? 399 Let x = -181 - -1439/8. Calculate the common denominator of 6*74/80 + -1 and x. 40 Let j(h) = -14*h. Let y be j(-5). Calculate the common denominator of -1 - (-1)/((-4)/67) and 20/y - 1906/252. 36 Let y = -188995/18 + 10497. What is the common denominator of y and 473/84 + (60/(-35) - -2)? 36 Let q = 6688/13 + -118603/234. What is the common denominator of -7/8 and q? 72 Let d = 1188 + -594. Find the common denominator of -73/18 and (d/20)/(24/20). 36 Let r = -459/20 + 39/2. Find the common denominator of r and 101/20. 20 Suppose -4*d + 20 + 12 = 0. What is the least common multiple of d and 4? 8 Let j = 4 + 26. Calculate the smallest common multiple of 2 and j. 30 Let r be (-4)/18 - 32/18. Calculate the common denominator of 202/36 - (-2 - r) and -1 + (6 - 356/88). 198 Let l = 3/368 + -2039/1840. What is the common denominator of (27/(-16))/((-2)/4) and l? 40 Suppose -5*s + 20 = -3*s. Calculate the smallest common multiple of 12 and s. 60 Find the common denominator of 33/7 and (-4)/6 - (586/(-12))/(-1). 14 Suppose 5*s + 6 = 4*s. Let h be ((-802)/(-33))/(s/(-4)). Let u = 172/9 - h. Find the common denominator of u and -91/6. 66 Let a = -4 - -6. Suppose 0*f - 3 = -f, -a*l = -4*f - 28. What is the common denominator of 52/5 and l? 5 Let d(q) = -q + 7. Let b be d(5). Suppose b*n + 2*x = -98, 3*x = -0*x. What is the common denominator of -1 and n? 1 Let p = -11 + 15. Suppose 0*s = p*s - 72. What is the lowest common multiple of s and 4? 36 Let q be -6*(-3)/(90/(-591)). Let c = 6517/60 + q. Find the common denominator of 101/10 and c. 60 Let j be 1 + -2 + (-2 - 37). Find the common denominator of -29/10 and 514/j + (-2)/(-8). 10 Suppose -4*u + 3*j - 6 = j, 0 = -5*j - 25. Calculate the least common multiple of (-29)/u - (-6)/8 and (-19)/(-6) + 1/(-6). 24 Calculate the common denominator of 143/48 and ((-2)/36)/(10/1455). 48 Suppose 2*h - 1 = l, -7*l + 3*l + 10 = -h. Calculate the lowest common multiple of h and 21. 42 Let y(z) = z**3 - 6*z**2 + 3*z - 4. Calculate the smallest common multiple of y(6) and 8. 56 Let l = 14867 + -696. Let h = -283347/20 + l. Find the common denominator of h and 726/18*(-3)/10. 20 Let n be 4/(-22) + (-15566)/(-85855). Let t = -11717/7633290 - n. Let c = -39613/3912 - t. What is the common denominator of c and 47? 8 Let k = 2785/1008 - 41/126. Calculate the common denominator of 79/8 and k. 16 Let x = -12 + 14. Suppose 2*k = -v - x*v + 15, -20 = -4*v + 2*k. Calculate the smallest common multiple of v and 5. 5 What is the common denominator of (7/49)/((-2)/86) and -14/9? 63 Let a(v) = 9*v**3 + v**2 + 2*v + 1. Let m be a(-1). What is the least common multiple of 4 and (0 + 4)/((-6)/m)? 12 What is the lowest common multiple of (8/10)/((-13)/(-195)) and 10/8*(-32)/(-4)? 60 Let v = 0 - -3. Calculate the least common multiple of 22 and ((-132)/(-4))/(v/2). 22 What is the common denominator of -121/20 and (-4)/14 - 3/210? 20 Let r(x) = x**3 - x**2 - 10. Let i be r(0). Calculate the common denominator of ((-218)/10)/(28/i) and -69/10. 70 Let u(t) = -t**3 + 13*t**2 + 10. Let l = -10 + 22. Calculate the smallest common multiple of l and u(13). 60 Let z = 1492/3 - 508. Suppose 5*l - 4 - 6 = 0. Calculate the common denominator of (1 - l)*9/21 and z. 21 Let g(o) = -5*o + 1. Let k be g(-4). Suppose k - 11 = a. What is the smallest common multiple of 2 and a? 10 Let f(z) = -z**3 + 9*z**2 + 7*z + 2. Let m be f(10). Let n = -16 - m. Suppose r + 4 = 2*r. What is the least common multiple of n and r? 12 Let x = 5 + 0. Suppose x*u = 2*u + 48. Calculate the smallest common multiple of u and 14. 112 Let m = -1109 + 19885/18. What is the common denominator of -51/22 and m? 198 What is the common denominator of 1/(-4) + (-2 - -3) and -28/9? 36 What is the common denominator of (0 - (-6)/8) + 9 and (-1 + 214/(-4))/(-11)? 44 Calculate the common denominator of (1 - 3/(-1))*14/(-18) and 143/6. 18 Let y = 10580 + -169217/16. Find the common denominator of 1/56 and y. 112 What is the common denominator of ((-12)/7)/((-12)/16) and 27/8? 56 Let y = -28 - -40. Calculate the smallest common multiple of -3 - (-1 + -22) - 0 and y. 60 What is the common denominator of -9 + 6 + (-91)/2 and -53/8? 8 Suppose 0 = -i + 4*i + 5739. Let o = 1600 - i. Let w = o + -38608/11. Find the common denominator of w and 1/2. 22 Calculate the lowest common multiple of (-3 - 55/(-25))/(1/(-30)) and 3. 24 Suppose 0 = 4*u - 2*u. What is the common denominator of 6 + -2 + 207/90 and 1 + u - (-226)/12? 30 Suppose -4*t - 58 = -5*w, 2*w + 4*t = 2 + 10. What is the lowest common multiple of w and 44? 220 Let z(i) = -9*i - 18. Let q = -23 - -45. What is the smallest common multiple of z(-4) and q? 198 Let v = 132 - 87. Let m = 1/2 - v. Calculate the common denominator of -103/24 and m. 24 Let w = 29 + -14. Calculate the least common multiple of w and 21. 105 Let b = -116 + 120. What is the lowest common multiple of 38 and b? 76 Suppose -3*q - 22 = -103. What is the smallest common multiple of 30 and q? 270 Let l = -11 - -31. What is the smallest common multiple of l and 14? 140 Let v be (6/(-4) + 3)*6. Let s(x) = x**2 - 8*x - 4. Calculate the lowest common multiple of 3 and s(v). 15 Let o = 27886 - 109023/4. Let v = o - 637. What is the common denominator of v and 15/7? 28 Calculate the lowest common multiple of 2 and 48/(-30)*((-29)/2 + 2). 20 Suppose -k + 2 + 3 = 0. Suppose 2*q - k = q. Let z(y) = 2*y - 1. Calculate the least common multiple of z(q) and 7. 63 Suppose 5*p = -4*n - 19, -4*n + 4*p + 17 - 81 = 0. Let c = n + 6. Find the common denominator of 4 + c + (-118)/(-40) and -47/20. 20 What is the lowest common multiple of (728/(-12))/(-7) - 4/6 and 35? 280 Let p be (-4)/2 + 34 + 0. Let t be (-10 + 0)/((-1)/2). Find the common denominator of (75/p)/(-5)*t and 149/12. 24 Let z = 23 - 14. Calculate the smallest common multiple of z and 9. 9 Suppose 14 = -b - 5*x, -3*b = x + 4 + 24. Let s(y) = -3*y - 4. Let p be s(b). Let g = -9 + p. What is the least common multiple of 16 and g? 112 Let g be (-16)/(-28) + (-10)/(-7). Suppose 0 = -g*b + 4 + 8. Suppose 41 = 5*d - 69. Calculate the smallest common multiple of d and b. 66 Let i = 52 - 74. What is the common denominator of (2/14)/((-3)/87) and i/8*27/(-6)? 56 Let o = -2/3199 + -22333/95970. Calculate the common denominator of 32/21 and o. 210 Let s(n) = -n**3 + 2*n**2 + 2*n - 1. Calculate the smallest common multiple of (-288)/90*10/(-4) and s(2). 24 Suppose -5*b + 80 = -p, -5*b + 5*p = -90 - 10. Suppose -4*f - 63 = -b. Find the common denominator of ((-81)/f)/((-6)/(-4)) and -7/9. 18 Let i = 11 + -7. Suppose -4*r - 2*q = -0*q - 84, 5*r - i*q = 92. What is the smallest common multiple of r and 14? 140 Let v be (-87)/36*(-1)/(4/426). Let p be 7482/(-28) + 2/(-7). Let z = p + v. What is the common denominator of 29/4 and z? 8 Let j(w) = 2*w - 2. Calculate the lowest common multiple of 10 and j(6). 10 Suppose -7 - 127 = 4*w - 5*i, -5*w = -i + 178. Let j = w - -52. What is the least common multiple of 28 and j? 112 Suppose -3*v - 7 = -2*z, -2*v + 0*v + 2 = 0. What is the smallest common multiple of z and 10? 10 Let y = 6574 + -52501/8. Let c(v) = v - 7. Let p be c(6). What is the common denominator of 274*p/(-36) - 0 and y? 72 Let a = 10409/22 - 473. What is the common denominator of a and (-42)/4*(-3)/9? 22 Let v = 40 - 19. What is the lowest common multiple of 3 and v? 21 Let a = -58 + 76. What is the least common multiple of (66/4)/(6/8) and a? 198 Let f(p) = -p**3 - 6*p**2 - 3*p + 5. Let s be f(-4). Let q(g) = g**2 + 14*g - 10. Calculate the smallest common multiple of 9 and q(s). 45 Let p = 233/8 - 55/8. Find the common denominator of p and 85/12. 12 Let b = 84/223 - 17397/1784. Find the common denominator of b and 145/12. 24 What is the common denominator of 26/15 and 1 + 1/(-3) + 200/(-456)? 285 Let t = 73 - 579/8. Calculate the common denominator of 13/6 and t. 24 Let q = -285727/30 + 9527. Find the common denominator of q and -11/30. 30 Let g = 112 - 70. Let q
{ "pile_set_name": "DM Mathematics" }
, 2*d - 2 = -k + d. Which is the third smallest value? (a) -3 (b) 0.1 (c) k b Let t = -7 + 22. Let v = -17 + t. What is the third biggest value in 2/15, v, -3? -3 Let w = -0.83 - -0.79. What is the second smallest value in 0.5, -4, w? w Let t = 4.9 - 6. Let b = -1.3 - t. What is the smallest value in -1, b, 0? -1 Let r be (-1)/(2*(-22)/(-8)). Let q be 6/28*(-24)/9. What is the second biggest value in -1/4, q, r? -1/4 Let h = -28/171 + 1/19. What is the third smallest value in -0.2, h, -2/49? -2/49 Let o = -4 + 6. Which is the third smallest value? (a) -3 (b) 2/5 (c) o (d) 3 c Let d = -319/3 + 106. What is the biggest value in d, 0.5, -2? 0.5 Let g = 34 - 30. What is the third biggest value in 0, g, 1? 0 Let r = 2/9 - -5/18. Let d = -3.2 - -3. Which is the third smallest value? (a) r (b) d (c) -4 a Let o = 0.469 + 0.031. Which is the second smallest value? (a) -0.05 (b) o (c) -2/3 (d) -1 c Let w be -1 - (3 - 24/9). What is the third biggest value in 0.3, 17, w? w Let t be 1 + 4 + (-42)/10. What is the fourth smallest value in -4, t, -3, -0.3? t Let t = -1124/11 + 102. Which is the third biggest value? (a) -3 (b) t (c) 2/11 a Let p = -61/2 + 28. Let y = 8 + -13. Let u = 5 + y. What is the second smallest value in p, u, -4? p Let r = -15.4 + 15. Which is the second biggest value? (a) 1 (b) r (c) 1/6 c Let g = 84 - 80. What is the third smallest value in 5, 3/7, g? 5 Let r = -16 - -18. What is the third smallest value in 0.5, r, 0.03? r Let q = -13.7 - -14. Which is the second biggest value? (a) -1 (b) q (c) -1.3 a Let g = -10.9 - -4.9. What is the biggest value in -5, 0.3, g, 3? 3 Let u = -25 - -27. Let o(l) be the third derivative of -l**4/24 + 4*l**3/3 - l**2. Let g be o(4). Which is the smallest value? (a) g (b) -0.2 (c) u b Let z = 11 - 13. Which is the biggest value? (a) -0.3 (b) 1 (c) z b Let f = -8 + 3. Which is the biggest value? (a) f (b) -2/7 (c) 1 c Let o = -15 - -15.3. What is the third smallest value in 10, -0.3, o? 10 Let f be (-1 - 10/(-24))*(-122)/427. What is the smallest value in f, -0.3, 4? -0.3 Let r = -58/3 - -19. Which is the second smallest value? (a) 5 (b) 0 (c) r b Suppose 0 = 5*a, 5*a = -3*u + 2*u - 5. Let q = 0.19 + 1.81. What is the second biggest value in q, u, 5? q Let r = 27 + -26.92. Which is the third smallest value? (a) -1 (b) -2/13 (c) r c Let c = -0.04 - -0.34. Let r = 0.5 - c. What is the biggest value in r, -5, -0.5? r Suppose 5*f + o - 34 = -2*o, -3*f + o + 12 = 0. Which is the biggest value? (a) f (b) 14/13 (c) 4 a Let g = 19.2 - 25. Let s = g + 6. Let w = -2 + 6. Which is the biggest value? (a) s (b) w (c) -1/8 b Let r = -48 + 43. What is the smallest value in 0.2, 5/4, 0.3, r? r Let m = 0.2 + -0.6. Let x = 0.11 - 4.31. Let a = x - -4. What is the biggest value in m, -3, a? a Suppose 2*x + 100 = 4*x. Let i = x - 11. Let p = i + -155/4. Which is the second biggest value? (a) p (b) 4 (c) -1/2 a Let j = -0.32 + -15.68. Which is the fourth smallest value? (a) 3/8 (b) 0.4 (c) j (d) 0.5 d Suppose 2*q + 5 = 3*n, 5*q + 7 = 5*n + 2*q. Let o = 0.7 - 1. Let l = o - -0.2. Which is the smallest value? (a) l (b) -3/2 (c) n b Let h = 0.81 - -0.19. Let g = 0.1 - 0.1. What is the second biggest value in g, -0.5, h? g Let n = 82 - 823/10. Which is the second biggest value? (a) -2 (b) -0.2 (c) n c Let w be 8 + -4 + 2 + 0. Let d be (w/(-33))/(-2)*2. Which is the biggest value? (a) 0 (b) -3 (c) d c Let x = 2 + -1.9. Let w = -0.13 + x. Which is the second smallest value? (a) 4/5 (b) 2/11 (c) w b Let l = -47 + 46. What is the second biggest value in -1/2, l, 2/11, 0.1? 0.1 Let t = 137/30 + -25/6. Let o = 0 + 2. What is the second smallest value in o, -3, t? t Let i = 7 + -7.2. Let s(o) = -o**2 - 8*o - 1. Let p be s(-8). What is the second smallest value in 1/4, i, p? i Suppose u - 2*u - 2 = 0. Let c = 1 + 0. Let s(k) = -k**2 + 5*k + 4. Let n be s(5). What is the second smallest value in u, c, n? c Let r = 64 + -61. Which is the second smallest value? (a) r (b) -0.2 (c) 1 (d) -0.4 b Let y(v) = -v**2 - v + 5. Let h be y(-4). Let t be ((-1)/4)/(h/8). Which is the second smallest value? (a) 0 (b) t (c) -3 a Let q = -7 + 7.01. Let p = -632.99 + 628. Let s = p - q. Which is the third smallest value? (a) -2 (b) -1/2 (c) s b Let x = -2.6 - 0.4. Let n = -1 - x. Let u = -19 + 39/2. Which is the biggest value? (a) -5 (b) n (c) u b Let k = -4.87 - 0.13. Let i = -1152/7 + 164. Suppose 0 = 5*w + 15, 0*w + 5*w + 15 = -y. Which is the third biggest value? (a) i (b) y (c) k c Let t = 0.08 + -0.02. Let k = -0.24 - t. Let w = -4.1 + 4. Which is the second smallest value? (a) w (b) -1 (c) k c Let t = 99 - 492/5. Let h be (-3)/9 + (0 - -2). What is the smallest value in -3, t, h? -3 Let z be (-4)/(-20) - 12/(-15). What is the third biggest value in -4, -3, z? -4 Let p = 13.2 - 13. What is the third biggest value in -1/7, -4, p? -4 Let m = -32.5 - -32. What is the third smallest value in 0.5, -0.2, m, 1? 0.5 Let v = -15.89 - 0.11. Let d = -16.3 - v. What is the third biggest value in -1/6, 0, d? d Let b = 5 - 3. Let j be 5/15*3*-1. Let r = -0.1 - -0.1. What is the third biggest value in j, b, r? j Suppose 0 = 6*i - 4*i + 6. Let d = -3 + 3.5. Let m = 14/17 + -107/68. What is the second biggest value in i, d, m? m Let l = -2/43 + 47/86. Let n = -8 - -7.94. What is the third smallest value in n, l, -0.1? l Let x = -77 - -77.4. What is the second smallest value in -5, 3, x? x Let n = 0.3 - -0.1. Let s = -0.7 - -0.9. Which is the biggest value? (a) 1 (b) s (c) n a Suppose 2*r = 7*r - 5. What is the smallest value in 2, r, -5? -5 Let h = 0.56 - 0.86. Which is the biggest value? (a) 0 (b) h (c) 0.3 c Let j = -33.6 + 33. What is the second biggest value in -6, j, -3/8? j Let c = -4 + 4. Let m = -0.5 - c. What is the biggest value in -4, m, 2/21? 2/21 Let w(v) = v**2 - 17*v + 25. Let i be w(16). Which is the biggest value? (a) 0 (b) i (c) -3 b Let u = -10 - -12. Which is the third biggest value? (a) 0.4 (b) 0.01 (c) u b Let c = -103/195 + 5/39. Let u = -39.4 + 40. What is the second smallest value in u, 5, c? u Let k = 2.65 - 1.65. Let q = -16.7 - -16. Let d = 0.2 + q. Which is the second biggest value? (a) -4 (b) d (c) k b Let g be 2/1 - 0 - (1 - 1). What is the biggest value in 3/2, g, 0.3? g Suppose 0*w - 5*w = -15. Suppose -4*q = w*l + 14 + 26, q + 36 = -4*l. Let g be (-2)/(3 + l + 3). What is the second biggest value in 0.2, g, -5? 0.2 Let v = 2.04 + -1.84. What is the third smallest value in -1/10, v, -3, 1? v Let m be 4 - (38/9)/1. Which is the third smallest value? (a) 0.1 (b) 9 (c) m (d) -3 a Let s = 12.9 - 5.8. Let l = 7 - s. Which is the second biggest value? (a) 0.4 (b) l (c) 3/8 c Let b = 0.78 + -0.48. Let y = -16 - -78/5. What is the smallest value in b, y, -2/7? y Let l = 3385/12 + -1483/4. Let d = l + 88. What is the third biggest value in -5, d, 1/8? -5 Let q = -85 + 85.3. Which is the fourth smallest value? (a) 2/17 (b) q (c) -4 (d) 0.4 d Let m be (-6)/14 - (-3)/7. Which is the second biggest value? (a) -0.2 (b) 1/4 (c) m c Let n be ((-2)/(-42))/((-2)/(-12)). What is the second smallest value in 3, 0, n? n Let y = -1199 - -15563/13. Let z = y + 207/91. Which is the second smallest value? (a) -1 (b) -5 (c) z a Let q be (-2)/((-2)/4 + 1). Let g be 6*2/q - -3. Let i be 1/5 - (-2)/(-5). Which is the biggest value? (a) i (b) g (c) 2/5 c Suppose 4030 = 4*g + g - l, 4*l - 1612 = -2*g. Let k = 4847/6 - g. Let f = -4/3 + k. Which is the third smallest value? (a) -4 (b) f (c) -2 b Let w = -8.6 + 8. Let z = w + 0.1. Let r be 8/14*2 - 1. What is the second biggest value in r, 2, z? r Let w be 34/66 + 5/(-15). Let d = -0.31 - -6.31. Which is the second biggest value? (a) w (b) d (c) 5/3 c Let s = -22 - -18. Which is the smallest value? (a) 0.3 (b) 0.4 (c) s c Let p be ((-18)/15 - -1)*3/1. What is the second biggest value in 1/22, p, -0.4, 1/2? 1/22 Let v = 0.2 - 0. Let l = v + -0.7. Let m be ((-5)/4)/(1/4). What is the second biggest value in m, 3, l? l Let f = 5 + -5. Let k = 3 + f. Let i = 10 - 5. What is the biggest value in k, i, 1? i Let k = -0.05 + 3.05. Let x = 3.4 - k. Let n(g) = -g**3 + 4*g**2 - 2*g + 4. Let d be n(4
{ "pile_set_name": "DM Mathematics" }
, w: 6}. What is prob of picking 1 i and 3 d? 2/273 What is prob of picking 1 n and 3 f when four letters picked without replacement from {f: 3, n: 1, m: 2, b: 1}? 1/35 Calculate prob of picking 2 r when two letters picked without replacement from furlurullr. 1/15 What is prob of picking 4 a when four letters picked without replacement from {a: 5, d: 3}? 1/14 Three letters picked without replacement from uokooaoafoua. What is prob of picking 1 a, 1 f, and 1 k? 3/220 What is prob of picking 1 y and 2 r when three letters picked without replacement from rrazrayrrryyy? 30/143 What is prob of picking 1 s and 1 d when two letters picked without replacement from sgdqc? 1/10 Three letters picked without replacement from tutteiguuiuugtututt. Give prob of picking 1 u, 1 e, and 1 i. 14/969 What is prob of picking 1 a, 1 o, and 2 v when four letters picked without replacement from vooaovoooaaa? 8/165 Three letters picked without replacement from aaataahaa. Give prob of picking 3 a. 5/12 Two letters picked without replacement from wbzzombe. What is prob of picking 2 e? 0 What is prob of picking 2 y and 1 d when three letters picked without replacement from mydmmmdmdmmmmym? 3/455 Calculate prob of picking 4 i when four letters picked without replacement from imiimmmiimmmiimiiim. 35/646 Calculate prob of picking 4 c when four letters picked without replacement from iiwwwwcimcm. 0 Three letters picked without replacement from hhhcghghglgg. What is prob of picking 3 h? 1/22 What is prob of picking 4 z when four letters picked without replacement from zzzzzzz? 1 Four letters picked without replacement from {c: 5, k: 5, s: 2, a: 5, q: 3}. Give prob of picking 1 q, 1 s, and 2 k. 4/323 Two letters picked without replacement from mmhmhhcc. Give prob of picking 1 m and 1 h. 9/28 Two letters picked without replacement from {c: 1, f: 2, p: 1, z: 2, s: 1, k: 1}. What is prob of picking 1 f and 1 c? 1/14 Calculate prob of picking 3 u and 1 q when four letters picked without replacement from {q: 5, u: 3}. 1/14 Calculate prob of picking 2 d when two letters picked without replacement from {d: 5, c: 14}. 10/171 Two letters picked without replacement from shckc. Give prob of picking 1 k and 1 c. 1/5 What is prob of picking 1 t and 1 l when two letters picked without replacement from {j: 6, t: 1, l: 7}? 1/13 Two letters picked without replacement from jjnnjjnjfjfn. Give prob of picking 2 f. 1/66 What is prob of picking 1 w, 1 h, and 1 f when three letters picked without replacement from wmfhggfhhmhhwkghhm? 7/204 Two letters picked without replacement from qqqnjqqqnnqnqqqjnqqq. What is prob of picking 2 n? 1/19 What is prob of picking 2 y when two letters picked without replacement from {y: 3, x: 5}? 3/28 Two letters picked without replacement from {o: 4, b: 3, d: 2, k: 6}. Give prob of picking 2 b. 1/35 What is prob of picking 1 x and 2 t when three letters picked without replacement from ttztzxzzxzxzzttx? 1/14 Three letters picked without replacement from {o: 3, j: 3, x: 1, c: 3, b: 5}. Give prob of picking 2 c and 1 o. 9/455 Calculate prob of picking 1 n and 1 c when two letters picked without replacement from cnnnccccnnccncccnnnc. 99/190 Calculate prob of picking 1 x and 3 a when four letters picked without replacement from aaxf. 0 What is prob of picking 2 q and 1 x when three letters picked without replacement from xxxxxxxxxxxxxxqqxxxx? 3/190 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from nakhcih. 1/21 Two letters picked without replacement from jhphznzpchzj. Give prob of picking 1 j and 1 c. 1/33 Three letters picked without replacement from yyyyeyyyyyyyyyyyyy. What is prob of picking 3 y? 5/6 Three letters picked without replacement from bbtbbbbbbbttbbbbbbbb. What is prob of picking 3 t? 1/1140 Two letters picked without replacement from xxuctbx. Give prob of picking 1 b and 1 u. 1/21 Four letters picked without replacement from {j: 11, c: 1}. Give prob of picking 1 c and 3 j. 1/3 Three letters picked without replacement from hqzz. What is prob of picking 1 h, 1 q, and 1 z? 1/2 Three letters picked without replacement from pjggpppph. Give prob of picking 1 h, 1 j, and 1 p. 5/84 What is prob of picking 1 o and 3 r when four letters picked without replacement from {o: 4, p: 2, r: 3, e: 1, l: 1, d: 1}? 4/495 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 2, q: 4}. 8/15 Four letters picked without replacement from wmwwwcwcwwwccwwcw. What is prob of picking 4 c? 1/476 Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, g: 1, z: 2, w: 1}. 1/7 What is prob of picking 2 m and 1 q when three letters picked without replacement from {q: 5, m: 3}? 15/56 Two letters picked without replacement from oddodordrdoiddd. What is prob of picking 1 r and 1 o? 8/105 Calculate prob of picking 1 d and 3 c when four letters picked without replacement from {c: 2, d: 5}. 0 Two letters picked without replacement from dmssqswsms. Give prob of picking 1 d and 1 w. 1/45 Three letters picked without replacement from gcpgcppyqbgppcppqy. What is prob of picking 1 c and 2 q? 1/272 What is prob of picking 1 g and 1 v when two letters picked without replacement from {i: 2, k: 7, g: 3, y: 5, v: 3}? 9/190 What is prob of picking 2 x when two letters picked without replacement from {x: 9}? 1 Two letters picked without replacement from {m: 2, c: 1, i: 2, q: 2, b: 1}. Give prob of picking 2 m. 1/28 Three letters picked without replacement from {j: 1, k: 2, i: 1, u: 2, a: 8}. What is prob of picking 3 a? 2/13 Three letters picked without replacement from jjjjjjjjjjvj. Give prob of picking 3 j. 3/4 Three letters picked without replacement from {b: 5, o: 2, w: 2, r: 1, t: 1, a: 2}. Give prob of picking 1 b, 1 a, and 1 r. 5/143 Two letters picked without replacement from {v: 2, o: 1, s: 2, r: 1, y: 1}. Give prob of picking 1 y and 1 o. 1/21 Four letters picked without replacement from rdrfckcflfr. What is prob of picking 2 f, 1 k, and 1 l? 1/110 Calculate prob of picking 2 o when two letters picked without replacement from {o: 3}. 1 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from bbccblccbwebbbw. 4/105 Calculate prob of picking 1 v and 2 o when three letters picked without replacement from oovvvvvvvvvvv. 1/26 What is prob of picking 2 v, 1 q, and 1 c when four letters picked without replacement from {v: 2, d: 1, q: 7, c: 8}? 14/765 What is prob of picking 1 t and 1 j when two letters picked without replacement from zttzztjtzztjtttj? 1/5 Four letters picked without replacement from {a: 13, c: 3}. Give prob of picking 4 a. 11/28 What is prob of picking 2 u and 1 b when three letters picked without replacement from ubaausnaaau? 1/55 Calculate prob of picking 1 l and 1 s when two letters picked without replacement from dolosolok. 1/18 Three letters picked without replacement from {w: 1, s: 8, g: 4, n: 2, m: 4, h: 1}. What is prob of picking 2 n and 1 g? 1/285 What is prob of picking 3 a and 1 m when four letters picked without replacement from vomva? 0 Three letters picked without replacement from {z: 7, h: 5, s: 7}. What is prob of picking 3 z? 35/969 Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {v: 4, s: 1, o: 6, y: 2, n: 4, w: 2}. 4/57 What is prob of picking 2 w when two letters picked without replacement from zzzzwzwzwzwwz? 5/39 What is prob of picking 1 l and 1 r when two letters picked without replacement from lrqzp? 1/10 Calculate prob of picking 1 t, 1 a, and 1 g when three letters picked without replacement from {l: 4, a: 10, t: 1, g: 3}. 5/136 Two letters picked without replacement from gaggaaaggaga. Give prob of picking 2 a. 5/22 Three letters picked without replacement from jvjgvvppv. What is prob of picking 1 v, 1 p, and 1 j? 4/21 Three letters picked without replacement from {f: 5, k: 1, l: 1, z: 3}. What is prob of picking 1 z and 2 f? 1/4 Four letters picked without replacement from yygxgxyyyyy. What is prob of picking 3 y and 1 g? 7/33 Two letters picked without replacement from {n: 2, l: 6, c: 5, f: 2, h: 3}. Give prob of picking 1 l and 1 h. 2/17 What is prob of picking 4 z when four letters picke
{ "pile_set_name": "DM Mathematics" }
86 + 224/43. Let v = 2 - -1. What is the closest to -0.1 in -1, v, t? -1 Let y be ((-1)/7)/((-135)/30 + 4). Which is the nearest to -6? (a) 5 (b) 0.2 (c) y (d) 3/7 b Suppose 2*u - 6 = -0*u. Let m(v) = -2*v - 35. Let r be m(-17). Let d be 8/3 + -2 + r. Which is the nearest to d? (a) 5 (b) -5 (c) u c Let h = 0.21 - 0.11. Let k = 109.005 - 0.005. Let a = k + -107. What is the nearest to h in -2, -2/3, a? -2/3 Let m(o) = -59*o - 2242. Let r be m(-38). Which is the nearest to 149? (a) r (b) -2/5 (c) -0.1 (d) 0.5 d Let w = -3.186 + 3.205. What is the closest to 3 in w, -1/3, 0? w Let x = -3426.8 - -3427. Let m be 400/1088 - (-2)/(-8). What is the nearest to m in 0.3, 2, x? x Let g = -63.9 + 74. Let p = g - 12.2. Let x = 1.9 + p. What is the closest to 0.1 in 0.02, x, -3? 0.02 Let o = 11.9 + -12. Let l(q) = 3*q**3 - 50*q**2 - 14*q - 60. Let i be l(17). Which is the closest to o? (a) i (b) 1/3 (c) 5 b Let x be ((24/13)/(-8))/((-22)/143). What is the nearest to 2 in 4/3, x, -1/7, 17? x Let i = 10.343 + -10.243. What is the nearest to 3/4 in 3, -1, -3, i? i Let l be (9 - 12/(-18) - 11)*1. Which is the nearest to l? (a) -39 (b) -0.03 (c) 4 b Let y = -205 - -199. Let t be (-8)/y - 5 - (-2 + -1). What is the nearest to 2/9 in t, 0.1, 6/11? 0.1 Let y = -920 + 925. Suppose l - 9 = -3*d + 10, -34 = -4*d + 3*l. Suppose -2*w + 4 = 3*q, -q + d*w - 27 = 2*w. Which is the nearest to q? (a) y (b) 1/2 (c) -4 c Let u be 13/7 + (-4 - -3). Let w = 1.02 + -1.32. Let v = 0.7 + w. What is the nearest to -2 in 0, u, v? 0 Let l be (28/20 - -1)*1020/9. Let m = -1371/5 + l. Let r = 2 + m. Which is the closest to 0.1? (a) r (b) 0 (c) 5 b Let r = -14721/41 - -359. Let j = 0.28 - 0.38. Let t = -6 - -5.6. Which is the closest to 0? (a) j (b) t (c) r c Let o = -0.002 + -0.043. Let r = -0.055 + o. What is the nearest to 1/3 in -1, -0.08, r? -0.08 Suppose -7*l + 2*l + 6*l = 0. Let x = -4.57 - -199.57. Let d = x - 194.7. What is the nearest to 2/7 in l, 9/2, d? d Suppose -18*j + 5 = -17*j. Let x = 4 + -4.1. Let n = 101 + -101.2. Which is the nearest to 1? (a) x (b) n (c) j a Suppose -q = 2*m + 6, -15*q + 8 = -18*q - 4*m. What is the closest to q in -2, -10, -0.2, -0.5? -0.2 Let j = 12437/3 + -52391/12. Let s = 220 + j. Which is the closest to s? (a) -0.4 (b) 2 (c) -0.3 (d) 3 c Let p = -693/10 - -2089/30. Suppose 0*i - 25 = 5*c - 5*i, -5*c + 2*i - 13 = 0. What is the closest to 0 in c, 2/43, -0.3, p? 2/43 Suppose 2*x - 2*l - 2 = -0*x, -l + 11 = -5*x. Let a = -283108/9 + 31456. What is the closest to 2 in 2, x, a? 2 Let g = 1.173 + -0.173. Let x = 1210 + -1210.5. Let u = -8 - -4. What is the nearest to -1 in u, x, g? x Let l = -2687 + 2688. What is the nearest to -1 in -1, -2/13, 5, l? -1 Let s = -77 + 101. Let n = 45/2 - s. Suppose -6*r + 2*r = 20. Which is the closest to 1? (a) r (b) n (c) 1 c Let r = 35.8 + -35.68. Let l = 115.2 - 115. What is the nearest to l in r, 0, 5? r Suppose -9*k + 15 = -5*k + g, -3 = -g. Let j(x) = -x**3 + x**2 + 5*x + 2. Let y be j(k). What is the closest to y in -2, 0.4, -0.7? -0.7 Let h(l) = -l**2 - 3*l - 1. Let u be h(-3). Let j = 2497.5 + -2498. Which is the closest to u? (a) 0.1 (b) -4 (c) j c Let r be (2/(-6))/(21*(4 + (-284)/72)). Which is the closest to -1? (a) 253 (b) 1 (c) r c Let l = -225.7 + -24.3. What is the closest to 2 in -6, l, -1? -1 Let j = -0.75 + 41.25. Let m = -2.5 + j. Let l = 38.2 - m. Which is the closest to 1/2? (a) l (b) 0 (c) 4 a Let x = -4041 - -4040. What is the nearest to 3 in -5, x, -38, -0.5? -0.5 Let i be 2/(-120)*22 - 34/255. Which is the closest to i? (a) -2 (b) 0.01 (c) 8 (d) 0.3 b Let l = -15226 + 15231. Which is the closest to 3/4? (a) 2/11 (b) 0.15 (c) l a Let f be 1/3 + 9580/(-30) - 0. Let m be 2/(-3) - f/474. Let d = -469/790 - m. Which is the closest to -3? (a) d (b) 4 (c) 0.6 a Suppose -2*p + 4*v - 8 = -280, 2*v - 302 = -2*p. What is the nearest to 0.2 in 0.3, p, -3, 3? 0.3 Let h = -7/6 + 5/6. Let l = -7 - -7.2. Let i = -895 + 898. Which is the nearest to h? (a) 5 (b) l (c) i b Let h = -4961 + 4946. What is the nearest to 0 in 4, 1/4, 1, h? 1/4 Let i = -25708 + 25710. Which is the nearest to -1? (a) -0.1 (b) i (c) -2 (d) 1 a Let s be (4/6)/((-5)/(-3)). Let g = 419/1096 - 1/137. Let y = 58 + -57.6. What is the nearest to s in g, 3, y? y Let m = -3502 + 3499. Suppose -9*w = -0*w. What is the closest to w in -2/15, m, -2/21, -1/6? -2/21 Let n = -8886.6 + 8888. Which is the closest to 0? (a) n (b) -2/5 (c) -5 (d) 1 b Let k = -1616.4 + 1768. Let v = 152 - k. What is the closest to 0 in -5, v, 0.15? 0.15 Let w = 9272 + -9451. Which is the closest to -1? (a) w (b) 4/3 (c) 6 b Suppose 116*w + 232*w - 1950 = 543*w. Let c = 0.5 - 0. What is the closest to -2 in w, -4/7, -0.2, c? -4/7 Let d be ((-4)/(-58) - (-676)/(-1392)) + (-1)/4. What is the nearest to d in 2/5, 0, 233? 0 Let u(s) = s**3 - 17*s**2 + 9*s - 22. Let o be u(11). Let i = 8427/13 + o. Which is the closest to i? (a) -1/6 (b) -0.4 (c) -2/11 b Let u = 6 - 2. Let i = 12.7 + 0.3. Let q = -1506.5 - -1507. Which is the closest to i? (a) q (b) u (c) -0.3 b Let y = -5 - -9. Let v = 95 + -88. Let g = y - v. Which is the nearest to g? (a) 5 (b) -2 (c) 4 b Let l(m) = 682*m - 6142. Let g be l(9). Which is the nearest to 6? (a) -2/15 (b) -7 (c) -0.2 (d) g a Let d = 1874.08 + -1874. Which is the nearest to 2? (a) 0.2 (b) 9 (c) d a Suppose 529*u = 527*u - 6. Let g(s) = s**2 + 17*s + 26. Let l be g(-15). Which is the closest to 0.1? (a) 4/3 (b) u (c) l (d) -1 d Suppose 4*y + 14 = 142. Let d = -30 + y. Suppose -3 = 5*z + d*w + 2, -4*z - w = 4. What is the closest to 1/4 in -1/6, 1, z? -1/6 Let d = 160 + -110. Let z = d + -59.9. Let u = 7.9 + z. Which is the closest to 0.2? (a) -1/6 (b) -3/7 (c) u a Let b = -15.437 + 14.437. What is the closest to b in -26, 3, -1, 17? -1 Let j = -1546 - -1544. Let b = -71/10 - -15/2. What is the nearest to b in j, 0.8, -1/5? 0.8 Let i be 74/(-8547)*7*12/(-1). What is the closest to 1/3 in -5, i, 0.04, -0.1? 0.04 Let p = -0.64 - -5.58. Let k = p + -9.94. What is the closest to 1/3 in 0.1, k, -2? 0.1 Let u be (-330)/7425 - 192/1755. Let w = -117/2 - -61. Which is the closest to w? (a) 2/5 (b) -3/2 (c) u a Suppose 2 = 3*m - 10. Suppose 1 = -n, 3*n = -m*g - 3 - 4. Let u be 5/((g - 0)*(-10)/10). Which is the nearest to -1? (a) 6 (b) u (c) -1/4 c Let u = -0.0135 + -0.1465. What is the nearest to 2 in u, 2, 0.9? 2 Let k = 4918.8 + -4919. What is the nearest to -0.2 in k, -3/2, -10, -2? k Suppose -f - 4*v = 3*f - 20, 0 = -2*f - 4*v + 14. Let k = 1019 - 438. Let h = k - 570. Which is the closest to 2/3? (a) -3 (b) f (c) h b Let q = 0.0074 - -0.4926. Let u = 48 - 29. Let g = -16 + u. What is the nearest to q in 5, g, 0.4? 0.4 Let g be -8 - (2 - 1)*225/(-27). What is the closest to g in -2/7, -30/23, 4, -4? -2/7 Let p(w) = -40*w**2 - w. Let n be p(-1). What is the closest to n in 0.3, -0.2, 1/2, -9? -9 Let q be (-430)/(-280) + 4/(-14). Let f = -0.1 + -0.4. Let w = 19011 - 19002. What is the nearest to -0.1 in f, w, q? f Suppose 40*i + 3 = 243. Let b be i*(2 + -3)/(63/7). What is the nearest to -0.1 in 2/3, -3, 1/6, b? 1/6 Let x = 6 + -17/3. Let z(p) = 3*p**2 + 24*p + 45. Let v be z(-5). What is the nearest to v in 1, x, -0.1? -0.1 Let x be 2/8 - (36 - 36). Which is the nearest to x? (a) -1 (b) -0.2 (c) -0.3 (d) -2/7 b Let o = -5.6 + 6.6. Let k = -60 - -64. Which is the nearest to o? (a) -1 (b) -4 (c) k a Let w = 66441/2 + -33217. What is the nearest to -1 in 1, w, -2/5, -2/7? -2/5 Let r = 32601 + -32598. Let p be (-2)/(-60)*1/3. Let g = -137/180 + p. Which is the closest to -1? (a) -1/4 (b) g (c) r b Let p = -159.88 - -152. Let v = p - -7.68. What is the nearest to 2 in 1/2, v, 1.1? 1.1 Suppose 0 = -4*p - 20*g + 25*g + 33, 0 = 4*p - g - 13. Which is the nearest to -2? (a) 0.5 (b) 4 (c) p a Let k = 605 + -602. What is the closest to -0.108 in k, 3/7, 0.2, -0.5? 0.2 Let h be -11*(-25)/5225*19. What is the closest to -0.4 in 3, h, 44? h Let i = 17299/2 - 8649. Suppose -5 = -2*v - 11. Which is the nearest to i? (a) v (b) -16 (c) 3 c Let i = -118.4 + 107.6. Let n = 4.2 - 15. Let k = i - n. What is the nearest to -0.2 in 5, 5/4, k? k Let j(h)
{ "pile_set_name": "DM Mathematics" }
eatest common divisor of 2109023 and 155. 31 What is the highest common divisor of 5974486 and 28? 14 What is the highest common factor of 485212 and 1209? 403 Calculate the highest common divisor of 2298 and 1308. 6 What is the highest common divisor of 110 and 263230? 110 What is the greatest common factor of 9 and 16977? 3 What is the greatest common divisor of 42 and 198618? 42 What is the highest common factor of 10332 and 56? 28 What is the greatest common divisor of 31635 and 1906536? 2109 What is the highest common factor of 6215 and 593815? 565 Calculate the highest common factor of 48664 and 8. 8 Calculate the highest common factor of 3038 and 20286. 98 What is the highest common divisor of 1731969 and 1863? 621 What is the greatest common factor of 118881 and 238? 119 Calculate the greatest common divisor of 113726 and 1126. 1126 Calculate the highest common factor of 66603 and 6. 3 Calculate the greatest common factor of 8493 and 2280. 57 What is the greatest common factor of 1296504 and 72? 72 What is the greatest common factor of 1157252 and 76? 76 Calculate the greatest common factor of 5312 and 12. 4 Calculate the highest common divisor of 2549712 and 704. 176 Calculate the greatest common divisor of 126 and 85518. 18 Calculate the highest common divisor of 16117 and 51475. 71 Calculate the greatest common divisor of 2424 and 2045048. 808 What is the greatest common divisor of 3206220 and 60? 60 What is the highest common divisor of 125983 and 156? 13 Calculate the greatest common divisor of 237 and 79158. 237 Calculate the highest common factor of 110 and 308110. 110 What is the greatest common factor of 15043 and 784? 49 Calculate the greatest common divisor of 1574690 and 91. 13 Calculate the greatest common divisor of 176190 and 1050. 210 Calculate the greatest common divisor of 9985188 and 204. 204 Calculate the greatest common divisor of 280 and 2534. 14 Calculate the greatest common divisor of 15901 and 19. 1 What is the highest common divisor of 661106 and 62? 62 What is the greatest common factor of 21 and 14183? 1 Calculate the greatest common divisor of 572 and 2794. 22 Calculate the highest common divisor of 17556 and 8. 4 What is the greatest common factor of 442 and 117351? 221 What is the greatest common factor of 629 and 182447? 37 What is the greatest common divisor of 124 and 176452? 124 What is the highest common factor of 1286929 and 2198? 1099 What is the highest common divisor of 5896180 and 140? 20 What is the greatest common factor of 70764 and 636? 12 Calculate the highest common divisor of 7308 and 563528. 812 What is the highest common divisor of 303050 and 22? 22 What is the highest common factor of 1260464 and 48? 16 What is the greatest common divisor of 89208 and 8024? 472 Calculate the greatest common divisor of 16 and 281. 1 Calculate the highest common factor of 2686 and 17408. 34 Calculate the greatest common divisor of 345 and 89945. 5 What is the highest common divisor of 2028 and 273? 39 What is the highest common factor of 15405 and 15? 15 Calculate the highest common factor of 7439 and 7093. 173 Calculate the greatest common factor of 4491 and 243. 9 Calculate the highest common divisor of 1199032 and 16. 8 What is the greatest common divisor of 953799 and 231? 231 Calculate the highest common divisor of 384 and 1068. 12 What is the highest common divisor of 4459 and 441? 49 Calculate the highest common factor of 66 and 75966. 66 Calculate the highest common divisor of 338355 and 438. 219 Calculate the highest common factor of 43050 and 1350. 150 Calculate the greatest common factor of 33748 and 50908. 572 What is the highest common divisor of 1077240 and 24? 24 Calculate the greatest common factor of 127969 and 73. 73 Calculate the highest common divisor of 382083 and 286. 13 Calculate the highest common divisor of 144141 and 69. 69 Calculate the highest common factor of 21581 and 476. 7 Calculate the greatest common divisor of 1539 and 12. 3 What is the highest common divisor of 238 and 59738? 238 What is the greatest common divisor of 82214 and 888? 74 What is the highest common divisor of 517 and 47893? 47 What is the highest common divisor of 1440 and 522432? 288 Calculate the highest common factor of 198 and 2336697. 99 What is the greatest common divisor of 866 and 455083? 433 What is the greatest common factor of 12672 and 2464? 352 What is the highest common factor of 1016660 and 10? 10 What is the greatest common divisor of 136929 and 39? 39 Calculate the highest common factor of 212 and 29733. 53 What is the greatest common divisor of 62159 and 183? 61 What is the greatest common divisor of 1378782 and 3888? 486 Calculate the highest common divisor of 70 and 134974. 14 What is the greatest common divisor of 26286 and 1326? 78 What is the highest common factor of 530704 and 16? 16 What is the highest common divisor of 7749 and 742469? 287 What is the greatest common divisor of 6 and 49382? 2 Calculate the greatest common factor of 2484 and 16353. 207 Calculate the highest common factor of 185514 and 222. 6 What is the greatest common factor of 58618 and 2408? 14 Calculate the greatest common divisor of 204 and 1236. 12 Calculate the highest common factor of 145 and 269265. 145 Calculate the highest common factor of 99 and 63846. 9 Calculate the greatest common factor of 5452 and 32828. 116 Calculate the greatest common divisor of 53 and 5627911. 53 Calculate the greatest common factor of 203 and 931. 7 Calculate the greatest common factor of 30776 and 12. 4 Calculate the highest common divisor of 5390 and 3542. 154 What is the highest common divisor of 115500 and 165? 165 What is the greatest common divisor of 6341 and 901? 17 What is the greatest common divisor of 18 and 22257? 9 Calculate the highest common divisor of 16896 and 2739. 33 Calculate the highest common factor of 30825 and 21235. 685 Calculate the highest common factor of 29756 and 79753. 173 Calculate the highest common divisor of 3636 and 5858. 202 Calculate the greatest common divisor of 927192 and 1428. 84 Calculate the highest common factor of 1581 and 11811. 93 Calculate the highest common factor of 75062 and 338. 26 What is the greatest common divisor of 430 and 356685? 215 What is the highest common factor of 517 and 75999? 517 What is the greatest common divisor of 24 and 63256? 8 Calculate the highest common divisor of 4356 and 963. 9 Calculate the greatest common factor of 80190 and 2090. 110 What is the highest common divisor of 821775 and 75? 75 What is the greatest common factor of 3091115 and 113? 113 Calculate the greatest common divisor of 24308 and 11433. 103 Calculate the highest common factor of 2691 and 8901. 207 Calculate the highest common divisor of 56 and 402899. 7 What is the greatest common factor of 24 and 19568? 8 What is the greatest common divisor of 65 and 142885? 5 Calculate the greatest common divisor of 37265 and 1131. 29 Calculate the greatest common divisor of 133903 and 77. 77 Calculate the greatest common factor of 8454233 and 191. 191 Calculate the highest common divisor of 1878 and 60. 6 What is the highest common divisor of 44864 and 192? 64 Calculate the greatest common factor of 6233 and 92. 23 Calculate the greatest common divisor of 13312 and 403. 13 What is the greatest common divisor of 1100 and 253880? 220 What is the greatest common divisor of 12288 and 62736? 48 What is the greatest common divisor of 783 and 7488351? 261 Calculate the highest common factor of 500 and 23020. 20 Calculate the highest common factor of 1156 and 9316. 68 What is the highest common factor of 3500 and 1540? 140 What is the highest common factor of 2409 and 21097? 73 What is the highest common factor of 50138 and 318? 106 What is the highest common divisor of 14624 and 4608? 32 Calculate the greatest common divisor of 7479850 and 25. 25 Calculate the highest common divisor of 193697 and 539. 49 Calculate the greatest common factor of 10 and 467270. 10 Calculate the greatest common factor of 120 and 2100. 60 Calculate the greatest common divisor of 215 and 564203. 43 What is the highest common factor of 34700 and 156844? 1388 What is the highest common factor of 867 and 1289229? 867 Wh
{ "pile_set_name": "DM Mathematics" }
g(-9)? -4 Let r(d) = 9*d**2 - 6*d + 5. Calculate r(1). 8 Let y(k) = -k**2 - 3*k + 4. Calculate y(-3). 4 Let o(u) = u**3 + 15*u**2 + 43*u - 2. Determine o(-11). 9 Let o(z) = -32*z - 257. Calculate o(-8). -1 Let r(i) = i**2 + 2*i + 9. What is r(-6)? 33 Let j(g) = 2*g**2 + g - 8. What is j(-3)? 7 Let c(u) = u**2 - 8*u - 3. What is c(4)? -19 Let t(g) = -3*g**2 + 26*g - 11. What is t(8)? 5 Let c(n) = n**2 + 22*n - 138. Calculate c(5). -3 Let o(q) = -q**2 - 13*q + 9. What is o(-13)? 9 Let r(y) = 22*y + 15. What is r(-2)? -29 Let h(z) = z**2 + 2*z - 5. Calculate h(3). 10 Let l(p) = p**3 + 3*p**2 - 3*p - 3. Calculate l(2). 11 Let a(s) = -s**3 + 5*s**2 - 3*s + 6. Give a(5). -9 Let l(f) = f**3 - 7*f**2 + 3*f + 6. Determine l(7). 27 Let r(t) = -t**3 - 8*t**2 - 6*t - 7. Calculate r(-6). -43 Let k(l) = l**2 + 4*l - 2. Determine k(-5). 3 Let m(o) = 3*o + 24. Determine m(-9). -3 Let l(i) = 2*i**2 + 18*i + 19. Calculate l(-7). -9 Let u(l) = -l - 4. Determine u(-5). 1 Let y(l) = 2*l**3 - 27*l**2 - 14*l - 2. Determine y(14). -2 Let y(s) = -s**3 - 3*s**2 - 5*s - 8. What is y(-3)? 7 Let u(h) = 2*h + 13. What is u(-7)? -1 Let t(f) = f**3 - 3*f**2 + f - 22. Determine t(5). 33 Let f(a) = -a**2 - 5*a + 204. What is f(12)? 0 Let m(z) = -z**3 - 8*z**2 - 7*z + 6. What is m(-7)? 6 Let k(o) = o**3 + 24*o**2 - 26*o - 51. Give k(-25). -26 Let p(s) = s**3 + 2*s**2 + 3*s - 4. What is p(-3)? -22 Let m(a) = 2*a**2 - 4*a + 12. Give m(0). 12 Let j(s) = s**3 + 2*s**2 - s - 40. Give j(0). -40 Let q(x) = -x**3 + 7*x**2 - 8*x + 7. What is q(6)? -5 Let x(a) = a + 18. Determine x(7). 25 Let s(b) = -3*b - 6. Determine s(-4). 6 Let s(g) = -3*g**3 - g**2 + 3*g + 1. Calculate s(-2). 15 Let p(z) = -z + 10. Calculate p(3). 7 Let k(z) = 3*z - 66. Give k(21). -3 Let k(w) = w**3 - 9*w**2 + 8*w + 4. Give k(8). 4 Let y(t) = -55*t - 171. Determine y(-3). -6 Let w(s) = -s**3 + s**2 + 6*s - 1. Determine w(-3). 17 Let a(u) = u**3 + 9*u**2 + 11*u + 21. Calculate a(-8). -3 Let u(w) = -w**3 - 10*w**2 - 11*w - 2. Calculate u(-9). 16 Let u(n) = -34*n + 7. Give u(1). -27 Let f(l) = -l**3 - 7*l**2 + 2*l + 3. Give f(-7). -11 Let x(a) = 10*a + 14. What is x(-8)? -66 Let s(c) = -17*c - 13. Give s(-1). 4 Let k(s) = -s**2 + 17*s + 44. Give k(21). -40 Let c(t) = t**2 - 18*t + 78. Determine c(12). 6 Let m(a) = -a**3 - 11*a**2 - 23*a + 6. Calculate m(-4). -14 Let u(y) = y**2 + 9*y + 2. Determine u(-8). -6 Let d(q) = q**2 + 10*q + 3. Give d(-9). -6 Let o(x) = -x + 3. Calculate o(7). -4 Let f(z) = -17*z - 85. Determine f(-5). 0 Let w(j) = -3*j**2 + 4*j + 1. Calculate w(3). -14 Let n(l) = -8*l - 128. Calculate n(-15). -8 Let q(a) = -39*a + 49. Determine q(0). 49 Let x(c) = c**3 - 22*c**2 - 25*c - 36. Give x(23). -82 Let x(a) = 5*a - 70. Give x(14). 0 Let h(z) = -2*z**2 - 14*z + 16. Calculate h(-7). 16 Let w(s) = -s**3 - 12*s**2 + 15*s + 22. What is w(-13)? -4 Let d(f) = -2*f**2 + 11*f + 1. What is d(5)? 6 Let b(f) = -f**2 + 30*f - 33. Calculate b(29). -4 Let v(r) = 3*r**3 + 5*r**2 + 2*r. What is v(-2)? -8 Let r(a) = -a**2 - 19*a - 64. Give r(-14). 6 Let q(m) = m**3 - 11*m**2 - 11*m + 39. Give q(12). 51 Let k(c) = c**2 - 4*c. Calculate k(-4). 32 Let u(k) = k**3 - 8*k**2 - 2*k + 6. Determine u(8). -10 Let o(r) = -3*r - 10. What is o(5)? -25 Let z(m) = -m**2 - 4*m + 24. Determine z(-6). 12 Let c(o) = -o**3 + 5*o**2 + 3*o - 2. What is c(5)? 13 Let j(f) = -f**2 - 10*f + 3. Calculate j(-9). 12 Let a(q) = -6*q + 21. Determine a(5). -9 Let k(z) = -z**2 - 16*z + 54. Give k(-19). -3 Let r(o) = 3*o**2 - o + 2. Give r(-4). 54 Let s(r) = 64*r - 437. What is s(7)? 11 Let l(f) = 6*f - 55. Give l(15). 35 Let n(q) = q**2 - 4*q - 6. Give n(6). 6 Let y(d) = 2*d**2 - 67*d + 370. Determine y(7). -1 Let x(m) = m**3 - 6*m**2 - 2*m - 2. What is x(6)? -14 Let y(q) = -4*q - 24. Determine y(-15). 36 Let s(q) = -36*q**3 + q**2 - q. Calculate s(1). -36 Let m(t) = t**3 + 10*t**2 + 11*t + 121. Determine m(-10). 11 Let b(f) = f**2 - 5*f + 4. Calculate b(5). 4 Let c(p) = -p**3 - 5*p**2 - p + 7. Give c(-6). 49 Let d(t) = t**2 - 8*t + 5. Determine d(7). -2 Let h(j) = j**2 - 15*j - 36. What is h(16)? -20 Let h(x) = 3*x - 2. What is h(-12)? -38 Let l(n) = n - 1. Give l(-6). -7 Let z(v) = v**3 + 3*v**2 - 3*v + 13. Determine z(-5). -22 Let z(u) = -u**2 - 9*u + 7. Calculate z(-9). 7 Let u(d) = -3*d - 37. What is u(-11)? -4 Let a(p) = p**3 + 11*p**2 - 17*p - 20. What is a(-12)? 40 Let f(a) = 2*a**2 - 39*a - 18. Calculate f(20). 2 Let x(b) = -30*b - 255. Calculate x(-9). 15 Let b(z) = -z**3 + 32*z**2 + 48*z - 509. Calculate b(33). -14 Let z(u) = -3*u**2 + 8*u - 5. Determine z(4). -21 Let o(r) = 4*r**3 - 3*r**2 + 3*r - 2. Calculate o(1). 2 Let s(p) = 19*p + 3. Give s(-2). -35 Let s(n) = 9*n**3 - n + 1. Determine s(-2). -69 Let v(j) = -2*j**3 + 9*j**2 + 6*j - 3. Give v(5). 2 Let x(b) = -44*b**2 + 14*b - 2. Give x(1). -32 Let f(w) = w**2 - 6*w - 6. Calculate f(6). -6 Let m(a) = -3*a + 1. What is m(-3)? 10 Let r(h) = -3*h + 15. Give r(7). -6 Let p(t) = -8*t**3 + t**2 + t. Determine p(-1). 8 Let n(d) = -d**2 + 11*d - 10. Determine n(0). -10 Let l(d) = 2*d**3 - 12*d**2 + 5. Calculate l(6). 5 Let h(m) = 3*m**2 + 4*m - 3. Give h(-5). 52 Let f(b) = b**2 - 11*b + 26. Give f(9). 8 Let k(u) = -5*u + 10. What is k(1)? 5 Let i(g) = 17*g - 71. Determine i(7). 48 Let y(h) = 2*h**3 - 41*h**2 + 18*h + 37. Calculate y(20). -3 Let r(u) = u**3 + 17*u**2 + 2*u - 7. What is r(-17)? -41 Let s(i) = -i**2 - 6*i + 1. Calculate s(-9). -26 Let t(y) = -y**3 - 10*y**2 + 7*y - 28. What is t(-11)? 16 Let g(x) = 2*x**3 - 13*x**2 - 6*x - 11. Give g(7). -4 Let n(p) = -p**2 + 9*p - 13. Calculate n(4). 7 Let z(l) = -l**3 - 5*l**2 - 6*l - 5. What is z(-2)? -5 Let g(a) = a**3 - 5*a**2 - 5*a - 5. Give g(6). 1 Let d(a) = -a**3 - 10*a**2 - 24*a - 9. What is d(-7)? 12 Let r(x) = 30*x + 12. Calculate r(-3). -78 Let w(v) = v**3 - 10*v**2 - 7*v - 4. Give w(10). -74 Let q(n) = n**3 + 6*n**2 - 7*n - 1. Give q(-5). 59 Let v(c) = 2*c**2 + c - 2. Calculate v(-2). 4 Let u(r) = 2*r - 28. Calculate u(15). 2 Let d(v) = v**2 + v + 5. Calculate d(-4). 17 Let g(c) = c**2 - 5. Calculate g(-4). 11 Let f(u) = -3*u + 4. What is f(5)? -11 Let a(o) = 2*o**2 - 2*o - 3. Calculate a(6). 57 Let a(o) = 43*o + 29. Calculate a(-3). -100 Let i(a) = -81*a + 237. Determine i(3). -6 Let c(j) = j - 3. What is c(4)? 1 Let x(i) = 13*i - 6. Calculate x(5). 59 Let j(a) = -a**3 + 5*a**2 + 6*a + 40. Calculate j(7). -16 Let k(q) = -21*q + 254. Determine k(12). 2 Let g(w) = 2*w**2 - 22*w + 5. Determine g(9). -31 Let p(c) = 2*c**2 - 7*c + 3. Calculate p(4). 7 Let i(r) = -3*r**2 - 112*r - 28. What is i(-37)? 9 Let m(h) = h**3 - 12*h**2 - 10*h - 33. Calculate m(13). 6 Let v(x) = -12*x + 55. Calculate v(6). -17 Let d(o) = -2*o**2 + 5*o + 12. Calculate d(4). 0 Let m(a) = a**2 - 7*a - 4. Calculate m(7). -4 Let o(r) = 2*r + 5. What is o(-3)? -1 Let j(k) = k**2 + 4*k + 4. Give j(-2). 0 Let q(x) = x**2 - 6*x + 8. Give q(4). 0 Let h(r) = -r**3 - 13*r**2 - 13*r + 9. Give h(-11). -90 Let s(c) = -23*c**2 - 1. Give s(1). -24 Let j(d) = -d**3 + 6*d**2 + 2*d + 1. Calculate j(3). 34 Let z(h) = -5*h - 120. What is z(-20)? -20 Let x(u) = -2*u**3 + 5*u**2 + 8*u - 7. Calculate x(3). 8 Let v(w) = -13*w - 23. Determine v(-2). 3 Let d(x) = -x + 30. Determine d(16). 14 Let b(k) = k**2 + 14*k + 40. Give b(-11). 7 Let p(w) = -6*w + 37. Give p(8). -11 Let k(p) = -6*p - 1. Give k(-1). 5 Let p(q) = 3*q**2 + 76*q + 95. Give p(-24). -1 Let v(q) = 31*q + 121. Calculate v(-4). -3 Let t(s) = -s**2 - 3*s - 11. Calculate t(5). -51 Let y(i) = -i + 17. Give y(12). 5 Let n(g) = 2*g**2 - 11*g + 2. Determine n(5). -3 Let k(g) = -g - 57. Determine k(0). -57 Let m(x) = 2*x**3 + 20*x**2 - 3*x - 25. Calculate m(-10). 5 Let y(h) = h**3 - 49*h**2 + 136*h + 90. Determine y(46). -2 Let b(j) = 4*j**2 + 1. Give b(2). 17 Let k(i) = 24*i + 10. Determine k(5). 130 Let v(t) = t**3 - 21*t**2 - 21*t - 17. Determine v(22). 5 Let v(t) = 124*t**3 - t**2 + t + 1. What is v(-1)? -125 Let c(b) = b**3 - 11*b**2 - 14*b + 14. What is c(12)? -10 Let k(q) = q**2 + 17*q + 3. Give k(-17). 3 Let g(v) = v**3 + 8*v**2 + 10*v - 9. Calculate g(-6). 3 Let o(p) = -8*p + 6. Calculate o(2). -10 Let w(t) = t**3 + 18*t**2 - 40*t - 13. Calculate w(-20). -13 Let c(w) = -2*w**2 + 7*w + 4. Determine c(6). -26 Let q(x) = x
{ "pile_set_name": "DM Mathematics" }
520 Simplify -4 + ((sqrt(68) + -1 + sqrt(68) - sqrt(68))**2 - sqrt(17)). -5*sqrt(17) + 65 Simplify 4*sqrt(17)*-4*-1*4. 64*sqrt(17) Simplify 4 + (sqrt(832)/sqrt(4) + sqrt(13))**2. 329 Simplify ((sqrt(72) - (sqrt(72) + sqrt(72) + 0)) + -5)**2 - (1*sqrt(72) + 1). 54*sqrt(2) + 96 Simplify ((-2*sqrt(768))/sqrt(6)*5)**2. 12800 Simplify ((-1 + sqrt(2) + sqrt(2))*4)**2 - (sqrt(2) - (sqrt(54)/sqrt(3) + sqrt(2))). -61*sqrt(2) + 144 Simplify (sqrt(1900) + 1 + sqrt(1900) + -4 + sqrt(1900) + -4)**2. -420*sqrt(19) + 17149 Simplify -1*(sqrt(65)/sqrt(5))**2 - (sqrt(52)/sqrt(100) - sqrt(13)). -13 + 4*sqrt(13)/5 Simplify ((sqrt(242) + 3 + sqrt(242))*-3)**2. 1188*sqrt(2) + 8793 Simplify -2 + sqrt(57)/sqrt(3) + sqrt(19) - (sqrt(1900)*-1)**2. -1902 + 2*sqrt(19) Simplify (-1 + sqrt(128) - (0 + sqrt(2) + 0)) + 0. -1 + 7*sqrt(2) Simplify sqrt(2736) - sqrt(2736)*4*1. -36*sqrt(19) Simplify sqrt(9)/sqrt(3) + -2 - (sqrt(192)/sqrt(4))**2. -50 + sqrt(3) Simplify 2 + 2 + sqrt(243) + 1. 5 + 9*sqrt(3) Simplify (sqrt(102)*2)/sqrt(6)*1. 2*sqrt(17) Simplify (sqrt(1872) + 3)**2 - 2*sqrt(26)/sqrt(2). 70*sqrt(13) + 1881 Simplify sqrt(637) - (-1*(0 + sqrt(637)))**2. -637 + 7*sqrt(13) Simplify (-3*(sqrt(64)/sqrt(4) + sqrt(16)))/(sqrt(432)/sqrt(6)). -2*sqrt(2) Simplify (sqrt(352)/sqrt(11) - sqrt(32)/sqrt(4))**2 + -2. 6 Simplify 4*((sqrt(363) + (-2*sqrt(363) - sqrt(363)))*-1)**2. 5808 Simplify (5*2*sqrt(99))/sqrt(9). 10*sqrt(11) Simplify -2*sqrt(252) - (sqrt(7) + 5*(sqrt(7) + -1)). -18*sqrt(7) + 5 Simplify (sqrt(72)*3*3)**2. 5832 Simplify (sqrt(38)/(sqrt(6)/sqrt(3) + sqrt(2)) + -5)*6 + 2. -28 + 3*sqrt(19) Simplify -5*sqrt(363) + -3. -55*sqrt(3) - 3 Simplify ((1*sqrt(78))/sqrt(2))/sqrt(3) + -4. -4 + sqrt(13) Simplify ((sqrt(68)*-2 + sqrt(17))**2 - (-2*sqrt(68))/sqrt(4))*3. 6*sqrt(17) + 459 Simplify (sqrt(170) + (-2*(2*sqrt(170) + sqrt(170)) - sqrt(170)) + sqrt(170))/(sqrt(490) + -2*sqrt(490) - sqrt(10)). 5*sqrt(17)/8 Simplify (sqrt(66) + 1*sqrt(66)*3)/sqrt(6). 4*sqrt(11) Simplify 6*(-1*sqrt(19) + -5 - (sqrt(1216) + -3)**2). -7380 + 282*sqrt(19) Simplify sqrt(11) + sqrt(132)/sqrt(108) - (sqrt(11) + (-5 + 1*sqrt(11) - sqrt(11)) + sqrt(11)). -2*sqrt(11)/3 + 5 Simplify ((1*(sqrt(204)*-1 - sqrt(204)) + sqrt(204))/(sqrt(972)*-1))**2. 17/81 Simplify (2 + 5*sqrt(7)*-2)**2. -40*sqrt(7) + 704 Simplify (-4*2*sqrt(99)*-2*3)**2. 228096 Simplify ((3 + sqrt(19) + -1)**2 - sqrt(19) - (-5 + (-2 + sqrt(19))**2))*6. 30 + 42*sqrt(19) Simplify (sqrt(18)*5*1 + 0)**2. 450 Simplify (-2*sqrt(539)*1 - ((2 + sqrt(539) - sqrt(539)) + 1))**2. 84*sqrt(11) + 2165 Simplify (-4*sqrt(315))/((sqrt(196)/sqrt(4))/sqrt(7)). -12*sqrt(5) Simplify (2*sqrt(204)*5 - sqrt(204))/(sqrt(48)/sqrt(4)*6). 3*sqrt(17)/2 Simplify ((-1 + sqrt(1088))**2 - (1*sqrt(425) + sqrt(17))**2) + (1*(sqrt(2448) + -1))**2. -40*sqrt(17) + 2926 Simplify (-2 + 1 + sqrt(125) + -5)**2. -60*sqrt(5) + 161 Simplify ((sqrt(19) - (sqrt(19) + sqrt(684)*5))**2 - ((2*sqrt(19))**2 + -2)) + 1. 17027 Simplify sqrt(100)/sqrt(2) - sqrt(50) - sqrt(22)/(sqrt(44)/sqrt(4)). -sqrt(2) Simplify (sqrt(180)*-1)/sqrt(10). -3*sqrt(2) Simplify (-2*(1 + 3 + sqrt(7) + 3))**2. 56*sqrt(7) + 224 Simplify sqrt(76)/sqrt(144) - (((sqrt(304)*1)**2 - sqrt(19)) + sqrt(19)). -304 + sqrt(19)/6 Simplify sqrt(44)/(sqrt(16)*-2 + sqrt(4)). -sqrt(11)/3 Simplify (sqrt(75) - sqrt(3))*6 + (sqrt(21)*1)/sqrt(7). 25*sqrt(3) Simplify -6*(sqrt(133) - -1*1*sqrt(133) - sqrt(133) - sqrt(133))/sqrt(7). 0 Simplify 2*(-1 + sqrt(432))*4 + 4. -4 + 96*sqrt(3) Simplify (1 + sqrt(275))**2 + (1*sqrt(44))**2. 10*sqrt(11) + 320 Simplify (sqrt(2016)*-1 - sqrt(56))/(sqrt(392)*-1). sqrt(7) Simplify -5*(sqrt(208)*2)**2 + -2. -4162 Simplify (sqrt(240)/(sqrt(10)*2))/(2*sqrt(648)). sqrt(3)/36 Simplify sqrt(48) + -1 - (-1*sqrt(3) + -5). 4 + 5*sqrt(3) Simplify (1 + (sqrt(272) - (sqrt(272) + 1)))**2. 0 Simplify (sqrt(2) - (sqrt(2) + 2*(sqrt(2) - (2 + sqrt(2) + sqrt(2))))) + sqrt(24)/(sqrt(12)*2). 5*sqrt(2)/2 + 4 Simplify -5*(-3*(sqrt(13) + -2) - sqrt(13))**2. -1220 + 240*sqrt(13) Simplify -5*(sqrt(128) + (sqrt(128) - (sqrt(128) + 2)))*-5. -50 + 200*sqrt(2) Simplify sqrt(66)/(sqrt(6) + (-5*(sqrt(30)/sqrt(5) + sqrt(6)) - sqrt(6))). -sqrt(11)/10 Simplify (sqrt(5) + 2 + -4)**2 - sqrt(45)/(sqrt(9) + sqrt(18)/sqrt(2)). -9*sqrt(5)/2 + 9 Simplify (sqrt(1125) - (sqrt(1125) + -1)**2) + sqrt(225)/sqrt(80). -1126 + 183*sqrt(5)/4 Simplify sqrt(208) + (sqrt(208) - (1*sqrt(208) + -4))**2. 4*sqrt(13) + 16 Simplify -3*(sqrt(40)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)) + sqrt(15)/(sqrt(6)/sqrt(2))). -4*sqrt(5) Simplify (-1*sqrt(78) + sqrt(78))/sqrt(6) - 6*-6*sqrt(13). 36*sqrt(13) Simplify -4*(sqrt(5) - ((sqrt(5) - ((sqrt(5) + -3 + sqrt(5))**2 + sqrt(5))) + 4)). -100 + 44*sqrt(5) Simplify (sqrt(42) + (2*sqrt(84))/sqrt(2))/(5*(sqrt(6) + sqrt(24))). sqrt(7)/5 Simplify sqrt(170)/(sqrt(30)/sqrt(3)) - (sqrt(17) - (sqrt(68)/sqrt(4)*3)**2). 153 Simplify (((sqrt(84) + sqrt(84)*-2 + sqrt(84) - sqrt(84) - sqrt(84))/sqrt(12))**2 - sqrt(7))*-1 + 5. -23 + sqrt(7) Simplify (1*-4*sqrt(272))**2. 4352 Simplify (4*(1 + sqrt(147)) + 1)**2. 280*sqrt(3) + 2377 Simplify sqrt(209)/(sqrt(77)/(sqrt(42)/sqrt(6))). sqrt(19) Simplify -1*sqrt(400)/sqrt(8). -5*sqrt(2) Simplify -3 + ((sqrt(170)/sqrt(1000))**2 - sqrt(17)) + sqrt(17). -283/100 Simplify -2 + -3 + -1 + sqrt(200). -6 + 10*sqrt(2) Simplify ((sqrt(1100) - (sqrt(1100) - (sqrt(1100) - 2*sqrt(1100))) - sqrt(11)) + sqrt(88)/(-1*sqrt(8)) + -3)**2. 72*sqrt(11) + 1593 Simplify (sqrt(114)/(2*sqrt(150)))**2. 19/100 Simplify -2 + 4*sqrt(128) + 5. 3 + 32*sqrt(2) Simplify (2*sqrt(12))/sqrt(6) + ((0 + sqrt(2))*2 - sqrt(2)). 3*sqrt(2) Simplify 4 + ((sqrt(1088) + ((sqrt(1088)*2 - sqrt(1088)) + sqrt(1088) - sqrt(1088)))*-5)**2*-5. -543996 Simplify -2*((-1*sqrt(11) - sqrt(11))*-3*-2)**2. -3168 Simplify -2*sqrt(32) + (sqrt(20)/(sqrt(10)*-2) - sqrt(2)) + 4. -19*sqrt(2)/2 + 4 Simplify -1*(0 + ((sqrt(405) + -1)**2 - sqrt(405))) + -4. -410 + 27*sqrt(5) Simplify sqrt(8)/(sqrt(4)*-1*-6). sqrt(2)/6 Simplify (sqrt(14) - sqrt(168)/sqrt(3))/(-2*sqrt(112)). sqrt(2)/8 Simplify ((-1*sqrt(80) - sqrt(80))*-5)**2. 8000 Simplify ((sqrt(126)*-1)/sqrt(6))/((-2*sqrt(77))/sqrt(11)). sqrt(3)/2 Simplify (-1 + sqrt(539) + sqrt(539)*-3*3)**2. 112*sqrt(11) + 34497 Simplify (-1 + (-1 + sqrt(19))*6)**2 + -5. -84*sqrt(19) + 728 Simplify (sqrt(6)/sqrt(2)*3 - (-2 + sqrt(27)))*3. 6 Simplify ((sqrt(5) - 1*sqrt(5)*-5) + 1)**2. 12*sqrt(5) + 181 Simplify (6*1*3*sqrt(125))**2. 40500 Simplify 5*6*(sqrt(19) - (sqrt(19) + -2)). 60 Simplify -2*sqrt(5) + -4 + (sqrt(20)/(sqrt(16)/sqrt(4)))**2. -2*sqrt(5) + 1 Simplify sqrt(30)/(sqrt(42)/sqrt(63)) - (3 + (1*sqrt(320) - sqrt(320))). -3 + 3*sqrt(5) Simplify 4*(sqrt(5) - sqrt(1250)/sqrt(10)). -16*sqrt(5) Simplify 3 + (-1*sqrt(539))**2 + -5. 537 Simplify sqrt(42)/(sqrt(18)/sqrt(3)) - (-5 + sqrt(28)/sqrt(4)). 5 Simplify (0 + sqrt(2592))**2*3. 7776 Simplify ((1 + sqrt(2299))*5 + -1)**2. 440*sqrt(19) + 57491 Simplify 3*((sqrt(1872) - (sqrt(1872) + sqrt(1872) + -2*sqrt(1872)))**2 + 1). 5619 Simplify (sqrt(140) - (1*sqrt(140) + sqrt(140)))/(-2*sqrt(7)*3). sqrt(5)/3 Simplify (-6*(-1 + 3*sqrt(208)))**2. -864*sqrt(13) + 67428 Simplify (-2*(sqrt(171)*-2)/sqrt(9))**2. 304 Simplify -5*(sqrt(325)*1 + 0)**2. -1625 Simplify -5*(3 + sqrt(13) + 1). -20 - 5*sqrt(13) Simplify ((2 + sqrt(396) + (sqrt(396) - (1 + sqrt(396)) - sqrt(396)) - 5*(sqrt(396) + (sqrt(396) - -1*sqrt(396))))*3)**2. -1620*sqrt(11) + 801909 Simplify -5*(sqrt(9)/sqrt(3) - sqrt(3))**2 + 1 + sqrt(9)/sqrt(3). 1 + sqrt(3) Simplify (-4 + sqrt(13) + 1*sqrt(13) + 0 + sqrt(13))**2. -24*sqrt(13) + 133 Simplify (sqrt(34)*-3)/sqrt(2) + -1. -3*sqrt(17) - 1 Simplify -3 + (sqrt(13) + (sqrt(13) + 0)**2)*-1 + 5*sqrt(26)/sqrt(2) + sqrt(13) + -2. -18 + 5*sqrt(13) Simplify -2 + sqrt(51)/sqrt(3) - (-2 + sqrt(153)). -2*sqrt(17) Simplify (sqrt(33)/(sqrt(11) - (sqrt(539) - sqrt(539)*3)))**2. 1/75 Simplify (2 + 2*sqrt(2736) - sqrt(2736))**2. 48*sqrt(19) + 2740 Simplify -5 + (-2*sqrt(21))/sqrt(7). -5 - 2*sqrt(3) Simplify (-2*sqrt(22)*-1)/(sqrt(11) - sqrt(77)/sqrt(28)). 4*sqrt(2) Simplify 2 + -3*sqrt(7) + (sqrt(7) - sqrt(189)/sqrt(3)). -5*sqrt(7) + 2 Simplify (4 + -1*sqrt(272) + -2 + -1)**2. -8*sqrt(17) + 273 Simplify (-2*sqrt(1700))**2 + -5. 6795 Simplify (0 + sqrt(1584) + sqrt(1584) + 1 + sqrt(1584))**2.
{ "pile_set_name": "DM Mathematics" }
Let x(g) = -g + 0 + 3*g + 2. Let h be ((-6)/4)/(-3)*0. Let w be -1 - 2 - (0 + h). What is x(w)? -4 Let f(c) = 3 - 19*c - c**2 + 5*c + 6*c. Determine f(-6). 15 Let z be (-4)/(1/1)*-1. Suppose z*x = -p - 5, -2*p - x = -p - 1. Let o(d) be the second derivative of d**4/12 - d**3/2 + 2*d**2 + 20*d. Calculate o(p). 4 Let p = -6 + 8. Let d(h) = p*h**2 + 6 - 5*h**2 - 2*h**2 + 4*h**2. What is d(0)? 6 Suppose 5*s - 4 - 11 = 0. Suppose 0*i = -s*i. Let c(x) = -x**3 + x**2 - x. Give c(i). 0 Suppose n + n - 8 = 0. Let i(q) = 2*q - 2. Let y(k) = -2 - 1 + 5*k + 0*k - 2. Let w(f) = 7*i(f) - 3*y(f). What is w(n)? -3 Let t(b) = -2*b**3 - 2*b**2 + 1. Let h be t(-1). Let f(p) = 0 - p + 0*p - 4 + 6. Give f(h). 1 Let y(j) = -3*j**2 + 3*j. Suppose 0 = -10*u + 20. Give y(u). -6 Let i(k) = k + 6. Suppose c - 3*r - 9 = 0, 35 = -5*c - r - 0. Determine i(c). 0 Suppose 0 = -8*o + 5 - 29. Let w(a) = -4*a - 4. What is w(o)? 8 Let b(w) = -4*w**3 - w. Let i(y) = 2*y**2 - 9*y + 3. Let d be i(4). Calculate b(d). 5 Let x(g) = -g + 1. Let q(a) = -2*a + 6 - 4 + 0*a. Suppose -2*w - 6 = 2*r, 3*w + 2*r = -7 + 2. Let o(c) = w*q(c) - x(c). Calculate o(1). 0 Let m(t) = -2*t**2 - 14*t + 11*t + t**2 + 5 + 7*t. What is m(4)? 5 Suppose 7*x - 15 = 2*x. Suppose -x*h - 17 = -5*t, 5*h - 1 = t - 0. Let p(v) = 2*v - t*v - v. What is p(-1)? 3 Let o(d) = -d + 2. Let m(a) = 5*a - 4. Suppose 21 = 4*k - u, 5*k - 3*u + 0*u = 28. Let x be m(k). Suppose 0 = 5*h + x - 6. Give o(h). 5 Let y be -2 - (5 - (0 - -3)). Let d(m) be the first derivative of -11*m**2/2 - 8*m + 2. Let f(v) = -5*v - 4. Let q(i) = 3*d(i) - 7*f(i). What is q(y)? -4 Let k(b) = -b**3 - 9*b**2 - 12*b + 12. Let n be k(-7). Let v(s) = s**3 + s - 1. Let g(q) = -7*q**3 - q**2 - 7*q + 4. Let w(z) = g(z) + 5*v(z). Give w(n). 15 Let d(p) = 56*p. Let c(f) = -8*f. Suppose -1 = -2*x + 5. Let m(g) = x*d(g) + 20*c(g). Let b = 2 + -3. What is m(b)? -8 Let u(i) = i + 2. Let b be u(-3). Let x be (3/3)/(-1)*b. Let y(h) = h**3 + h**2 - h. What is y(x)? 1 Let v be (3 - (-4 - -7)) + 3. Suppose 5*r = -2 - v. Let k(n) = -7*n**2 - n. Give k(r). -6 Let i be ((-20)/15)/((-3)/9). Suppose 4*h + 5*o = -6 - 3, o - 3 = i*h. Let p(n) = n**3 + 3*n**2 + n. Give p(h). 1 Let f(p) be the third derivative of p**8/20160 - p**7/840 + p**5/15 - 5*p**2. Let g(q) be the third derivative of f(q). Calculate g(5). -5 Suppose 9*n = 6*n - 27. Let o(x) = x**2 + 8*x - 9. Give o(n). 0 Suppose 0 = 6*r - 4*r - 4. Let m(k) = -4*k + 2. Calculate m(r). -6 Let u be (-4)/8 + 35/2. Suppose 2*t = 2, 7*i - 3*i - 5*t + u = 0. Let q(w) = w - 4. Determine q(i). -7 Let y(l) = 4*l + 14. Let v(t) = 5*t + 16. Let z(w) = 3*v(w) - 4*y(w). What is z(0)? -8 Let f(k) = k**3 - k**2 + k + 6. Let j = 11 - 15. Let r be (-48)/(-22) - j/(-22). Suppose 2*v + t + 2 = -0, -2*v = r*t + 4. Give f(v). 6 Let l(u) be the second derivative of u**5/20 + u**4/4 + u**3/3 + 3*u**2/2 + 3*u. Suppose 0 = -5*i - 0 - 15. Calculate l(i). -3 Let l(d) be the second derivative of 1/2*d**2 - 2/3*d**3 + 0 + 7*d. Let p = 1 - 0. Determine l(p). -3 Let c(p) be the second derivative of p**4/12 + p**3/2 - 2*p**2 + 4*p. Let h = -18 - -8. Let u = h - -5. Determine c(u). 6 Let y(b) = -2*b - 5. Let t be (12/8)/(2/4). Let p(x) = x - 4 + 6 + 0*x. Let k(z) = t*y(z) + 7*p(z). Calculate k(-4). -5 Suppose -5*c - 5 = 4*w + 15, 20 = -4*w. Suppose -2*u + 0*u + 8 = c. Let q(d) = -1 + 4*d + 0 - 3 - 2*d. Calculate q(u). 4 Let h(m) be the third derivative of m**5/15 - m**4/24 + 4*m**2. Suppose -5*z - 1 = 2*u + 10, -4*u = -5*z + 7. Calculate h(z). 5 Let l(p) be the third derivative of 0*p + 5/24*p**4 - 5*p**2 + 0 + 2/3*p**3 - 1/60*p**5. What is l(6)? -2 Let l(p) = p**3 - 8*p**2 + 7*p - 1. Let m(b) = -3*b + 16. Let i be m(3). Calculate l(i). -1 Let g(z) = -z + 3. Let t be 2/6 - (-2)/(-6). Let i be g(t). Let j(p) = -p**3 + 2*p**2 + 3*p - 2. Determine j(i). -2 Let p be 4/20 - 59/(-5). Suppose -4*f - 4*h = -p, -f + 4 = f + h. Let s(i) = -i - 1. What is s(f)? -2 Let k(c) = 3 + 3 + 103*c**3 - 104*c**3 - 8*c**2 + c. Give k(-8). -2 Let q(n) = 3*n + 7. Let f(h) = 2*h + 4*h - 7*h - 3. Suppose -4*i + 2*v + 18 = 0, 2*v + 16 = 3*i - 0. Let m(p) = i*q(p) + 5*f(p). Calculate m(-5). -6 Let t = -32 - -28. Let d(q) = 2*q + 1. Give d(t). -7 Let i(q) = -2*q + 6. Let w = 1 - -3. Suppose 0 = r - 2*h, w*h = 3*r + 2 - 0. Let k be 3*r/(-3)*2. Give i(k). -2 Let g(h) be the first derivative of 0*h - 5/24*h**4 - h**2 - 1/6*h**3 + 1. Let q(p) be the second derivative of g(p). Determine q(1). -6 Suppose 3*p - 2*d = 2*d + 2, p = 5*d - 3. Let o be 3*(p - (-4)/(-3)). Let f(s) be the first derivative of s**2/2 + 2*s + 3. What is f(o)? 4 Let d(s) = -s + 2. Let o be d(6). Let f(k) = k - 1. Let v(w) = -5*w + 9. Let z(r) = -6*f(r) - v(r). Calculate z(o). 1 Let c(n) = 7*n - 3. Let w be c(1). Let y(h) be the first derivative of 2*h**2 - 5*h - 4. What is y(w)? 11 Let r(z) = -4*z + 2. Let y(o) = 8*o - 5. Let b(i) = 7*r(i) + 3*y(i). Suppose 17 = 5*m + 2. Let t = -5 + m. Determine b(t). 7 Let p be ((-12)/(-5))/((-5)/(-150)). Let j be (-2)/10 - p/15. Let l(v) = 2*v + v**3 - 4*v**2 + 5 + 1 + 9*v**2. What is l(j)? -4 Let g(c) = c**2 - 3 + 6*c - 6*c + c**3 + 6. Let q(s) = -s + 3. Let x be q(3). Calculate g(x). 3 Let o be (-2)/(-3) - 26/(-6). Let y(z) = -z**3 + 4*z**2 + 8*z - 5. What is y(o)? 10 Let l(n) be the second derivative of -n**5/20 + n**4/4 + n**3/3 - n**2 - 2*n. Let y be ((-24)/(-18))/((-4)/(-9)). Calculate l(y). 4 Suppose 2*l = l. Let s(g) = -g**2 + g - 4. Determine s(l). -4 Let s(o) = -o**3 - 3*o**2 - 3*o. Let l be s(-2). Let y = 1 + l. Let b(g) = 4 + 3*g + y*g**2 + 5*g - 2*g**2. Calculate b(-5). -11 Let n(l) = 14*l**3 + 23*l + 11. Let u(f) be the third derivative of -f**6/24 - f**4/3 - 2*f**3/3 - 3*f**2. Let t(w) = 6*n(w) + 17*u(w). Determine t(2). -6 Let p(l) = -l - 4. Let b = -4 - -7. Calculate p(b). -7 Let h(w) = -w. Let y(d) = -5*d + 3. Let a(p) = -3*h(p) + y(p). Let r be a(2). Let q(s) = -1 + 0*s**2 + s**2 + s**2. What is q(r)? 1 Let i(u) be the third derivative of u**6/120 + 7*u**5/60 + 7*u**4/24 - 7*u**3/6 - 14*u**2. Give i(-6). -13 Let w be (4/(-6))/(1/6). Let o(j) = 29*j - 17*j - 8 - 2*j**2 + 1 - 19*j + 1. What is o(w)? -10 Let p(w) = -w**3 + 2*w**2 - w. Let h = -3 - -6. Calculate p(h). -12 Suppose -3*c + 27 = 3*y, -4*y - 19 - 5 = -2*c. Suppose 6 = -2*q + 3*o - c, -5*q - 5*o = -10. Let v(b) = -2 - 3*b + 0*b + 5*b. Calculate v(q). -6 Suppose -z - 5*f - 3 = 2*z, -5*z - 3*f - 21 = 0. Let j be (-20)/15*z/4. Let n(g) = g**3 + 5*g + 4*g**j - 1 - 2 - 11*g. Calculate n(-5). 2 Let k = -3 + 8. Suppose -b = 4*o - 9, 2*o - 3*b - k = -4*b. Suppose -o*u = -3*g, 3*g = 2*u - 3*u. Let c(t) = t - 4. Determine c(u). -4 Let l(v) = -2*v - 10. Let m = -21 + 13. Calculate l(m). 6 Let y(u) = -6*u. Let n = -42 - -43. Determine y(n). -6 Let c(w) = w**3 + 7*w**2 + 7*w + 7. Let i be -8 - (-7)/((-7)/(-2)). What is c(i)? 1 Suppose -15*d + 10*d = 0. Let r(m) be the second derivative of m**4/12 + m**3/6 + 3*m**2/2 - 2*m. Give r(d). 3 Let d(g) = -g**2 + 5*g + 4. Let m be 12/8*(-5 - 1). Let n be (m/5)/(9/(-30)). Give d(n). -2 Let q(p) be the second derivative of -p**4/12 + 3*p**2/2 - 12*p. Calculate q(0). 3 Let n(m) = m**2 + 12*m + 11. Let p be n(-11). Let z(d) be the second derivative of 1/6*d**3 + d**2 + 1/12*d**4 + p + 2*d. Calculate z(0). 2 Let w(d) = 10 - 4 + 4 + 8*d - 7*d. What is w(-9)? 1 Let t = 6 + -3. Let m = t + 1. Let v(i) = i**2 - 2*i - 4. Calculate v(m). 4 Suppose 0 = 4*k + 3*g + 7, 5*k - 4*g - 35 = g. Let a(l) = 0*l + l**2 - 1 - 3*l**3 + l - k*l**3. What is a(1)? -4 Suppose 0 = 5*n - 3*n. Let u(s) = -s - 5. Calculate u(n). -5 Let x(v) = -1. Let t(d) = -d - 6. Let j(k) = t(k) + 2*x(k). Let h(n) = -n**2 + 9*n - 2. Let l be h(8). Suppose -20 = l*m - m. Calculate j(m). -4 Let t(l) = l**2 - 4*l - 8. Suppose 2*b + 3*a = 3*b - 21, -5*a - 25 = 0. Determine t(b). 4 Let s(d) = d**3 - 4*d**2 + 2*d - 4. Suppose 3*l = t + 37, -t - 30 = -2*l + t. Suppose q - 3*u = 5 + 8, -3*u + l = 5*q. Give s(q). 4 Let q(n) = -n**2 - 4*n + 3. Let l be ((-3)/(-6))/(2/(-4)). Let k = l + 5. Let p = -1 - k. Determine q(p). -2 Let q be 27/36*8/3. Let y(t) = q*t + 1 - 3*t + 0*t. What is y(-5)? 6 Let q(f) = -f**3 - f**2 + 4*f + 2. Let x be q(-3). Suppose -5*b = 10, 3*r + b = -3*b - x. Let w(k) = k - 9. What is w(r)? -9 Let o(j) = -j**3
{ "pile_set_name": "DM Mathematics" }
k + 4*k. -2*k + 69 Collect the terms in -2 + 30*d + 2 - 66*d + 38*d. 2*d Collect the terms in 4*z**2 + 15*z**2 - 14*z**2. 5*z**2 Collect the terms in y**3 + 119*y + 36 - 36. y**3 + 119*y Collect the terms in -2*l**2 - 3*l**2 - 3*l**2 + 3*l**2. -5*l**2 Collect the terms in 2 - 4 - 2*l**3 + 3*l**3 + 2. l**3 Collect the terms in -5*b + 5*b + 5*b - 3*b - b. b Collect the terms in -2*n - 3*n + 6*n + 2*n - 11*n**2. -11*n**2 + 3*n Collect the terms in x - 8*x - 2*x. -9*x Collect the terms in 0 + 1 + 574*r + 6 - 5. 574*r + 2 Collect the terms in -8 - 7*t**3 - 12 + 20. -7*t**3 Collect the terms in -19*p + 14*p + 16*p - 9*p. 2*p Collect the terms in -323*z**3 - 277*z**3 - 261*z**3 + 159*z**3. -702*z**3 Collect the terms in -6*a**3 + 15*a**3 + 31*a**3. 40*a**3 Collect the terms in 124 - 124 + 7*z**3. 7*z**3 Collect the terms in -2*x - 2*x + 29*x**2 + 4*x. 29*x**2 Collect the terms in 40 - 5*s - 21 - 19. -5*s Collect the terms in -166 + 166 - z. -z Collect the terms in 95*b - 123*b + 0*b**3 + 3*b**3. 3*b**3 - 28*b Collect the terms in 0*m + 0*m + 3*m + m. 4*m Collect the terms in 383*b + 372*b - 765*b. -10*b Collect the terms in -23*k**2 - 2*k**2 - k**2. -26*k**2 Collect the terms in 6*z + 11*z - 23*z. -6*z Collect the terms in -11*w**3 + 60*w**3 + 27*w**3. 76*w**3 Collect the terms in -2*p - 5*p**3 - 4*p**3 - p - 12*p**3. -21*p**3 - 3*p Collect the terms in -7*j**2 + 4*j**2 - 3*j**2 - 10*j**2. -16*j**2 Collect the terms in 34 - 11*h + 30 - 63. -11*h + 1 Collect the terms in 2*l + 5 - 8*l - 3 - 8*l - 13*l. -27*l + 2 Collect the terms in 0*f + f + f**2 - f. f**2 Collect the terms in -16*a**2 - 10*a**2 - 2 + 2. -26*a**2 Collect the terms in -3 + 3 + 36858*n - 36865*n. -7*n Collect the terms in 0*f + 3498 - 3498 + f. f Collect the terms in -1436*b + 2*b**3 + 1436*b. 2*b**3 Collect the terms in -3*f**2 - 638*f + 638*f. -3*f**2 Collect the terms in 5*o**2 - 5 + 3*o - 2*o - o. 5*o**2 - 5 Collect the terms in 5*o + 0 + 0 + 2*o. 7*o Collect the terms in -383*h - 2*h**2 + 383*h. -2*h**2 Collect the terms in 7*n**3 - 2*n - 5*n**3 + 6*n**3 + n. 8*n**3 - n Collect the terms in -720*d**3 + 0*d - 946*d**3 + 0*d. -1666*d**3 Collect the terms in 2 - 2 - 50*j**3 - j**3. -51*j**3 Collect the terms in 7*y - 4*y + 5*y - y. 7*y Collect the terms in 130*m - 265*m + 140*m. 5*m Collect the terms in -288 + 141 + l**3 + 147. l**3 Collect the terms in -3*u**2 - 3*u**2 + u**2. -5*u**2 Collect the terms in 98094*p**2 - p**3 - 98094*p**2. -p**3 Collect the terms in -12*g + 4 + 3 - 21*g - 4. -33*g + 3 Collect the terms in 3*p**2 - 27*p**2 - 20*p**2 + 11*p**2. -33*p**2 Collect the terms in -3*t**2 + 6*t**2 + 4*t + 3*t**2 - 4*t. 6*t**2 Collect the terms in -5*s**3 - 3*s**3 + 6*s**3 - s**3. -3*s**3 Collect the terms in 1 - 14*g + 37*g - 17*g. 6*g + 1 Collect the terms in 2*x**2 + 7*x**2 - 12*x**2. -3*x**2 Collect the terms in 9*f**2 + f**2 + 7*f**2 + 6*f**2 - 22*f**2. f**2 Collect the terms in 27*n + 9 - 9. 27*n Collect the terms in -255 - 261 + 516 - 3*c**3. -3*c**3 Collect the terms in 356 + 357 + i - 713. i Collect the terms in 15 - 16 - 27*r + 1. -27*r Collect the terms in -10*h - 41*h - 5*h + 5*h. -51*h Collect the terms in 0*r + 0*r - 27 - 2*r. -2*r - 27 Collect the terms in 36*u + u**3 - 36*u. u**3 Collect the terms in 8*o**2 - 3*o**2 - 3*o**2. 2*o**2 Collect the terms in 1 + 88*k - 95*k - 1. -7*k Collect the terms in 12*n**2 - 14*n**2 + 21 - 21. -2*n**2 Collect the terms in -2*s**2 - 3 + 4 + 2*s**2 + 2*s**2. 2*s**2 + 1 Collect the terms in 2*k**2 + 6*k**2 + 11*k**2 - 25*k**2. -6*k**2 Collect the terms in 75*i - 5 + 5. 75*i Collect the terms in -78*x - 78*x - 77*x + 239*x. 6*x Collect the terms in -6*h**2 - 91*h**2 - 22*h**2. -119*h**2 Collect the terms in 12*x**2 - 5*x + 17 - 17. 12*x**2 - 5*x Collect the terms in -135*y**2 - 130*y**2 + 265*y**2 + y**3. y**3 Collect the terms in 2*n**2 + 6*n**3 - 2*n**2 + 4*n**3 - 9*n**3. n**3 Collect the terms in 2*t**3 - 7*t**3 + 15*t**2 - 15*t**2 - t**3. -6*t**3 Collect the terms in 1989 + 4*q + 1993 - 3982. 4*q Collect the terms in -5*f + 5*f - 5*f. -5*f Collect the terms in -87*s + 8*s - 5*s. -84*s Collect the terms in 11*z**3 + 710*z**2 - 710*z**2. 11*z**3 Collect the terms in 16*x - 8*x - 6*x - 7*x - 4*x. -9*x Collect the terms in -68 + 22*l**2 + 34 + 34. 22*l**2 Collect the terms in 20*s - 9*s - 6*s + 8*s - 15*s. -2*s Collect the terms in 1 + 155*y**2 - 161*y**2 - 1. -6*y**2 Collect the terms in -13*x**2 + 5*x**2 + 0*x**2 - 29*x**2. -37*x**2 Collect the terms in -15*i - 190*i - 351*i. -556*i Collect the terms in 106 - 106 - 5*a. -5*a Collect the terms in 5*z - 5*z + 0*z + 88*z**2. 88*z**2 Collect the terms in 23*s**3 - 23656*s + 23656*s. 23*s**3 Collect the terms in 578*v - 79*v - 46*v. 453*v Collect the terms in -701*q**2 + 701*q**2 + 2*q**3. 2*q**3 Collect the terms in -109*d - 131*d - 28*d. -268*d Collect the terms in 3*s - 12614 + 12614. 3*s Collect the terms in -7*r**3 + 8*r**3 - 4*r**3. -3*r**3 Collect the terms in -30*g**3 - 22*g**3 - 114*g**3. -166*g**3 Collect the terms in -10*f**2 + 3*f**2 - 2*f**2. -9*f**2 Collect the terms in 44*f**2 - 143*f**2 + 51*f**2 + 49*f**2. f**2 Collect the terms in 3*a**2 - 9*a**2 - 3*a**2 + 3*a**2. -6*a**2 Collect the terms in -467*k**3 - 474*k**3 + 940*k**3. -k**3 Collect the terms in 32*p + 218*p - 47*p - 2. 203*p - 2 Collect the terms in -3*s**2 + 1669723 - 1669723. -3*s**2 Collect the terms in 13*t + 7*t - 18*t. 2*t Collect the terms in -1 + 3699*v - 3704*v + 1. -5*v Collect the terms in 97 - 189 + 92 + f**2 - 5*f. f**2 - 5*f Collect the terms in 3*c**3 - 6*c - 6*c + 12*c. 3*c**3 Collect the terms in 11*w - w + 2*w - 3*w. 9*w Collect the terms in 13*g + 20*g - 26*g. 7*g Collect the terms in -411 - g + 6*g + 411. 5*g Collect the terms in 3*r - 6*r + r + 6*r. 4*r Collect the terms in 71*g - 127*g + 59*g. 3*g Collect the terms in -4800*t - 8*t**3 + 4800*t. -8*t**3 Collect the terms in -20*g + 0 + 11*g + 0. -9*g Collect the terms in -6*y - 1493 + 1493. -6*y Collect the terms in -8*l + 3*l - 2*l - 5*l - 4*l. -16*l Collect the terms in 5*u + 19 + 12 - 31. 5*u Collect the terms in -38*a**2 + 21*a**2 + 14*a**2. -3*a**2 Collect the terms in -7*s**2 - 2*s**2 - 2225*s + 2225*s. -9*s**2 Collect the terms in o - 3 - 12*o**2 - o. -12*o**2 - 3 Collect the terms in z**2 - 15*z + 32*z + 4*z + 30*z. z**2 + 51*z Collect the terms in -1987*n + 5*n**3 + 1987*n. 5*n**3 Collect the terms in -4*f**3 + 0*f**3 - 5*f**3 + 5*f**3. -4*f**3 Collect the terms in 2 - v + 1 - 6. -v - 3 Collect the terms in 47*y + 276*y + 187*y. 510*y Collect the terms in 4971*c + c**3 - 4971*c. c**3 Collect the terms in -5*m + 14*m + 8*m + 0*m - 11*m. 6*m Collect the terms in -186*y + 49*y + 47*y + 41*y + 51*y. 2*y Collect the terms in -m**3 - 4*m + 4*m + 1717 - 1717. -m**3 Collect the terms in -15*q**3 + 34*q**3 - 11*q**3. 8*q**3 Collect the terms in -r - 11*r - 5*r + 5*r - r. -13*r Collect the terms in -3*u + 0*u + 16 + u - 16. -2*u Collect the terms in 5*n - 5*n - 26*n**2. -26*n**2 Collect the terms in 5 - 5 + 7*q. 7*q Collect the terms in 3*t**3 - t**3 + 9*t**3 + 13*t**3 - 4*t**3. 20*t**3 Collect the terms in 14 - 11 + 6*w - 2*w - 3. 4*w Collect the terms in -700 + 20*a**3 + 700. 20*a**3 Collect the terms in 3353*s**3 + 1 - 1675*s**3 - 1 - 1674*s**3. 4*s**3 Collect the terms in -3 + 4 - 7*a - 3 + 10*a. 3*a - 2 Collect the terms in 10*x**2 - 20*x**2 + 12*x**2 - 12*x**3. -12*x**3 + 2*x**2 Collect the terms in 77*i**2 + 3*i**3 - 77*i**2. 3*i**3 Collect the terms in 29*l + 82*l - 18*l + l. 94*l Collect the terms in -23*w**3 - 17*w**3 + 49*w**3. 9*w**3 Collect the terms in 33*n - 1 + 24*n - 59*n + 1. -2*n Collect the terms in -58*k**2 - 64*k**2 + 124*k**2. 2*k**2 Collect the terms in 146*u**3 - 326*u**3 + 161*u**3. -19*u**3 Collect the terms in 62*p**3 + 4*p - 4*p + 150*p**3. 212*p**3 Collect the terms in -4*b + 8*b - 3*b. b Collect the terms in 0*m + 5 - 5 + 5*m + 6*m. 11*m Collect the terms in -3*b**2 + 14*b**2 + 23*b**2. 34*b**2 Collect the terms in 40*x**3 - 104*x**3 + 60*x**3. -4*x**3 Collect the terms in -15*p**2 + 65*p**2 + 4*p**2. 54*p**2 Collect the terms in 26432*z - 13216*z - 13213*z. 3*z Collect the terms in -48*w**2 + 6*w - 3*w + 18*w**2 + w. -30*w**2 + 4*w Collect the terms in -19*b - 39*b + 6*b - 14*b. -66*b Collect the terms i
{ "pile_set_name": "DM Mathematics" }
olve 6041984*k - 6041982*k + 2 = 2*n, 3*n = -5*k - 37 for k. -5 Solve 5*r = 7*p - 158, 2*r + 412 - 296 = 5*p for p. 24 Solve -4*f + 3*c = -13, 5 = 5*f + 7331*c - 7337*c for f. 7 Solve q - 5*u = -30, -12*q + 5*u - 284 = 319 - 573 for q. 0 Solve 6*z - 16 = 2*z - 468*a + 470*a, -4*z + 3*a = -15*a + 16 for z. 5 Solve 26*z = -2*o - 64, -3*o = -389*z + 393*z + 26 for o. -6 Solve f + 64*v + 64*v = -0*f + 129*v + 20, 0 = 3*v + 69 for f. -3 Solve -5*g - o + 41 = 0, -9219*g + 7*o + 33 = -9214*g for g. 8 Solve -3*o - 4 = -7*h, -5*o - 15*h - 203 + 211 = -12*h for o. 1 Solve -2*s - 97 = -5*v, 2*v - 31*s + 9*s = -23*s - 71 for v. -5 Solve 3*m - 1 = 5*j, -45*j - 4296*m + 37 = -4300*m for j. 1 Solve -a - n = 1 + 10 - 6, 0 = a - 9*n - 11 - 24 for a. -1 Solve -25 = -14*c + 16*c + 9*t + 20 + 38, -3*c + 2*t = -15 for c. -1 Solve 3*q = -16*d + 15*d - 19, -13*d + 15*d - 7 = 3*q for q. -5 Solve 10273*t - 10269*t - 12 = 3*z, 16*z - 6 = -2*t for z. 0 Solve 5*z + 98153 - 98346 = 2*f, -5*z + 189 = -f for f. -4 Solve 80*q - 77*q - 5*j + 0 - 1 = -2*j - 1, 7*q - 36*j = -29 for q. 1 Solve -26 = 4*w - l, -5*l - 4243 = 5*w - 4223 for w. -6 Solve -1872*c = -3*a - 1861*c - 93, -5*c = 0 for a. -31 Solve 2*t - 31 = -3*r, -r + 5*t - 35 + 2 = -5*r + 20 for r. 7 Solve 0 = 8*h + 24, -5*c + 5*h + 32 - 18 - 22 = 12 for c. -7 Solve -7056*j - 5*d = -7067*j + 176, -d - 36 = -3*j for j. 1 Solve 13*t + 594 = 3*a, -231 = -16*t + 21*t - 2*a for t. -45 Solve 0*s + 5*s + 30*b - 53*b = 248, -5*s + 4*b = -39 for s. -1 Solve -15*c - 86 = l + 1, 4*c + 23311 - 23467 = 4*l for c. -3 Solve -3*f - a = -4, 0 = -2*f + 4*a - 11 + 13 - 18 for f. 0 Solve -4*z + w = 4, 13984*w - 13980*w - 16 = -42*z for z. 0 Solve 4*q - 17 = 2*l - 5*l, 305*l = 46*q - 48*q - 1509 for q. 8 Solve 58 = -2*i, 3*l - 58720*i + 58721*i + 44 = 0 for l. -5 Solve -4*d - 1 + 19 = -2*c, 7*c - 26 = 2*d + 16*c - 3*c for d. 2 Solve 61575*o + 3*h + 1 = 61576*o, 2*o = 3*h - 7 for o. -8 Solve -5*f + 6*s = 90, -5*f - 232 = -0*s - 2*s - 142 for f. -18 Solve 298*c + 124 = 299*c + 21*v, c - 4*v + 26 = 0 for c. -2 Solve s + 17 = 5*i - 9, -2*s = 14*i - 15*i + 43 for i. 1 Solve -4*g + 9197 = 2*j + 8973, -3*g + 4*j + 190 = 0 for g. 58 Solve m = 5*t + 57, 0 = -23*t - 35*m + 31*m - 245 for t. -11 Solve -5*l + 2*l + 26 = -10*i, -62 = -11*l + 5*l + 10*l + 6*i for l. -8 Solve 641*d - 637*d + 6 = 2*q, 2*q + 3*d + 15 = 0 for q. -3 Solve 3*u + 8115*q = 8108*q + 88, 5*q + 103 = 4*u for u. 27 Solve 3*r + 3*t = -33, -76*t + 7 = r - 79*t - 34 for r. 2 Solve -4*u - 2*v - 14*v + 27*v = 9*v, -4*u + u - 4*v + 22 = 0 for u. 2 Solve -56 = 4*l + 28*r + 40*r - 64*r, -156 = 16*l - 18*r for l. -12 Solve 1281409*g - 386 = 15*m + 1281411*g, 5*g = m + 36 for m. -26 Solve 0 = 3*t - n - 3*n - 614 + 663, -11 = t + 4*n for t. -15 Solve -5*x + 4*q - 90 = 2*q, 20*q - 16*q = 20 for x. -16 Solve -5*r - 3*t = 29 + 97, -3*r - 132 = -17*t for r. -27 Solve 5*c + 186 = -4*u + 224, c + 2*u = 4 for c. 10 Solve 5*i + 3*f - 2*f + 12 = 0, -18*i + 48*f + 17 = 7 - 50 for i. -2 Solve 105 = 5*y, -1208*c = -1222*c + 4*y - 153 + 27 for c. -3 Solve -3*u - 3 = -4*u, -7*m - 5*u - 5*u - 44 + 22 = -13*u + 85 for m. -14 Solve -42*b + 196 = 2*n, -b + 138*n + 47 = 132*n for b. 5 Solve -55*z - 5 = v - 54*z, -12*v = 68*z + 172 for v. -3 Solve 6*l = -96, 33 = 8*v - 4*v - 6*l - 29 - 30 for v. -1 Solve -4*p - 30 = j - 16, -5*j + 4*j - 5*p = 15 for j. -10 Solve 7*k + 28 = -w, -10*k - 3*k + 12*k - 5*w - 48 = 6*k + 5*k for k. -4 Solve -5*g + 550101*n - 30 = 550104*n, g = 3*n + 12 for g. -3 Solve 8 = -5*z - 4*j, 97*z - 119*z + 3*j - 97 = 0 for z. -4 Solve 8*g + 5*q - 141 = 0, q - 3140478 + 3140562 = 5*g for g. 17 Solve -2*c + 9789132 = -4*r + 9789194, -34 = -2*r for c. 3 Solve 8*j - 322024 = 4*d - 322004, -2*j = 10 for d. -15 Solve 1576*l - 1572*l - 15*o + 220 = -6, -2*o = -4*l - 44 for l. -4 Solve 5*z - 5 = -2*m, 0 = -4*z + 2*m - m + 17 for z. 3 Solve -15*u - 9*u - 3*u + 2*l - 35 = -22*u, l = 74*u + 661 for u. -9 Solve 5*x = 35*o + 125, o - 10*x + 14*x = 71 for o. -1 Solve -12 - 19 + 7 = 604*p - 608*p, 4*g - 14*p + 33 + 46 = 3*g for g. 5 Solve -2*i + 4*k = -12, 18620*k = 3*i + 18621*k + 10 for i. -2 Solve -5*j + 5*y + 3245 = 3220, 18*y + 2 = -2*j + 16*y for j. 2 Solve -3*x + 2*l = 23, 27 - 8 + 7 = -2*x - x + 5*l for x. -7 Solve 0 = 3*q - 5*o - 9, -2*q + 19*o = 15*o + 8*o - 6 for q. 3 Solve t - 22*s - 2 = 4*t + t, -28 = 2*t + 3*t + 2*s for t. -6 Solve s - 5*p + 54 = 4*s - 71, -s + p = 17 for s. 5 Solve -4*s + 4 = 4*x, 65*s + 85*s + 551 = 2*x - 78*s + 47*s for x. 4 Solve 76*b + 78 = 77*b - 4*f, 2*f + 48 = 5*b for b. 2 Solve -4*y + 80 = 2*x, 5*x + 65 = 9*x - 5*y + 191 for x. -4 Solve 3*v = -2*n - 7, -360*n + 355*n = 39*v + 34 + 15 for n. -2 Solve -5*f - 32 = -c, -9782*c + 174 = -28*f - 9779*c for f. -6 Solve -3*l - 10573*n = -10576*n - 78, -16*n + 13*n = -l + 30 for l. 24 Solve -2*m - 19 - 5 = -25*z + 22*z, -2*m - 18 = -6*z for z. -2 Solve -23*g - 20 = 23*g - 41*g + 7*d, -g + 2*d + 13 = 0 for g. 3 Solve -4*k + 10*c - 14*c = -5*c + 5*c - 56, -5*c - 20 = 0 for k. 18 Solve 63*b = -5*r + 131, 6817 = -b - 5*r + 6824 for b. 2 Solve -5*z + 146 = 4*f, -67 = 3*z - 2*f - f + 56 for z. -2 Solve -w + 973 = -5*h + 599, 4*h + 299 = w for w. -1 Solve 0 = 4*y - 0*w + 6*w + 2*w + 80, -36 = 27*y - 2*w for y. -2 Solve 61 + 80 = -5*w - 2*z, 0 = 5*z - 222 + 212 for w. -29 Solve 2*w = i + 35 - 105 + 49, w - 49 = -3*i for w. -2 Solve -l = -11*o - 115, l - 12*o = -7*o + 55 for l. 5 Solve 5*f + 10 = 4*d + 3*f + 58, -f + 1204 + 773 = -219*d for d. -9 Solve -2*q + q = 2*q + 5*n + 12, 81*n = -18*q + 76*n - 72 for q. -4 Solve -2 = 4*w + 10*q, 72557*w = 72560*w + 4*q - 9 for w. 7 Solve 4*q + 838 + 778 = 32*y, y - 38 = -3*q for q. -4 Solve 4*k + 2*q - 12 = 0, -2*k - 75996*q = -75998*q + 6 for k. 1 Solve -t - 3*x + 458731 = 458703, -5*t - 5*x = -120 for t. 22 Solve 7 = -4*d - 3*o, 1455*o - 1452*o + 13 = -d for d. 2 Solve 5*f - 199*c + 6 = -200*c, -223*f - 2*c = 651 for f. -3 Solve -690*d - 2*v = -637*d - 381, -2*d - 4*v + 34 = 0 for d. 7 Solve -23*a - 3*y + 88 = 0, 4527*a = 4530*a - 2*y + 22 for a. 2 Solve 3*s = 110974*m - 110978*m - s - 200, -4*s = -4 for m. -51 Solve -330*x = 2*k - 333*x - 20, 4 + 22 = -2*x + 6 for k. -5 Solve -10953 = -8*r - 2*g - 11003, 2*g - 41 = 5*r for r. -7 Solve 3*s = 6*r, -r - 5*r + 2*r = -5*r + r - 5*s for r. 0 Solve 0 = -3*w - 5*m - 0 + 2 + 1, -1938*m = 6*w - 1816*m - 6 for w. 1 Solve 7*u - 49 = 11*u - 17*i, -86*u - 2*i + 19 = -85*u for u. 9 Solve -2*c - 2*v - 60 = 3*v, 0 = -0*c + 5*c + 9*v + 6 + 109 for c. -5 Solve 14*t + 724 = -v + 462, 0 = -t - 7*v + 9 for t. -19 Solve 0 = -3*l + 3*i - 69, -2296*i + 24 = -l - 2294*i for l. -22 Solve 278 - 238 = -4*f + 2*p, 0 = 4*f - p + 44 for f. -12 Solve 5*o + 6*f = -213, -4*f + 19 = 2*o + 101 for o. -45 Solve -8*a = 4*c - 3*a + 21, 186 = -5*c - 8*a + 3*a + 166 for c. 1 Solve 14*k = 5*w + 76, 861*w + 2*k - 4 = 860*w for w. -4 Solve -406 = -78*i - 667 - 597, -5*g - 4*i = -0*i + 29 for g. 3 Solve 0 = -9*z + 4*q - 397, 0*z + z = 163*q - 83*q - 79*q - 93 for z. -5 Solve 0 = -4*v + 3*t + 53, 0 = v - 209992*t + 209988*t - 62 for v. 2 Solve 3*q - 18*y = 147, -23920*y = -23922*y - 18 for q. -5 Solve 5*a - v = 25, a = -3*v + 8743 - 8802 for a. 1 Solve w = -7*q + 6*w + 35, 4*q + 5229*w - 56 = 5237*w for q. 0 Solve -3*z - 5*r - 34 = -r - 2*r, r + 4*r - 2 = 36*z for z. -2 Solve -3*i + 516 = 63*a, 437*a - 24 = 4*i + 432*a for i. 4 Solve 37 - 4 = 2*q - 18*h - 11, 3*q + 5*h = 2 for q. 4 Solve 0 = -2*c + 2*r + 16, -311*r + 310*r - 15 = -8*c for c. 1 Solve -35 = -5*c - 5*n, -1010*c = -1014*c + 3*n + 14 for c. 5 Solve 12644*t - 12648*t = -m - 22, 2*m = 5*t - 53 for m. -34 Solve -4*m + t - 6 = 0, 2*t - 134 = 2*m - 140 for m. -3 Solve 727*t + 3*u = 728*t + 43, 0 = -5*t + 4*u - 204 for t. -40 Solve 3*l = 3*l - 4*u - 8, -3*u - 63 = 7*l - 34 - 30 for l. 1 Solve 5*n - 18*c = -14*c - 165, 5*n - 6*n + 2*c - 60 - 27 = 0 for n. 3 Solve 6 = 3*q + 3*o - o - 11*o, 4*q - 5*o + 20 = -0*q for q. -10 Solve -2*w + 3 = -3*u, -19*u + 5*w = -6046 + 6019 for u. 3 Solve 2695*a - 2697*a = -18*o + 60, 12 = a + 5*o for a. -3 Solve 263 - 41 = 12*q - 3*v, 3*v = 70*q - 71*q + 12 for q. 18 Solve g + g = 8, -2*g + 7*g + 872 - 427 = 15*a for a. 31 Solve -28*j - h = 1, 3*h + 43 = 4*j + 40 for j. 0 Solve y = -5*q + 2, -2*y - 772
{ "pile_set_name": "DM Mathematics" }
hat is -4 + -6917? -691b In base 4, what is -110232 + 322? -103310 In base 11, what is -11 + -158a? -15a0 In base 14, what is 189 + -183? 6 In base 5, what is 20 - -31142420? 31142440 In base 6, what is 1 - -152114? 152115 In base 3, what is 11121010001202 - -1? 11121010001210 In base 12, what is -5507 + -3? -550a In base 4, what is 21133120 - -2? 21133122 In base 10, what is 38543 - -57? 38600 In base 13, what is 2 - -1377a? 1377c In base 15, what is -11639 - 2? -1163b In base 5, what is 3400121 - -3? 3400124 In base 8, what is 53077 + 54? 53153 In base 16, what is -179 + 11b? -5e In base 15, what is -1b91 - -2e? -1b62 In base 6, what is -13403 + -154? -14001 In base 7, what is 24014624 + -1? 24014623 In base 3, what is 211 + 22211121? 22212102 In base 8, what is -116755 - 6? -116763 In base 3, what is -2 + -22012111112? -22012111121 In base 9, what is 35136 - -1? 35137 In base 12, what is 768 + -38b? 399 In base 13, what is 1b95 - -7? 1b9c In base 16, what is 3d5 - -a15? dea In base 8, what is 522761 + 4? 522765 In base 5, what is 31022 - -1? 31023 In base 3, what is 10 - -1010202200112? 1010202200122 In base 16, what is -5 - 20ce1? -20ce6 In base 3, what is 112 + -211011010? -211010121 In base 5, what is 32212 - -22? 32234 In base 5, what is -2 - 2030210? -2030212 In base 13, what is 14 - 59b? -587 In base 3, what is -1212100122 - -12221? -1212010201 In base 16, what is 18e644 + -2? 18e642 In base 10, what is 8 - -18650? 18658 In base 7, what is -1414 - 150? -1564 In base 11, what is -498 + -7a13? -8400 In base 16, what is 23 + -964? -941 In base 11, what is 0 - -a838? a838 In base 3, what is 1210 - 11012122? -11010212 In base 16, what is 28ba + -84? 2836 In base 7, what is 1554 + -303? 1251 In base 14, what is a7 - -12a05? 12aac In base 7, what is -531 - 124? -655 In base 15, what is 49 - 1c3? -179 In base 5, what is -32 + -231201? -231233 In base 4, what is 22 + 212112203? 212112231 In base 12, what is 11589 - -1? 1158a In base 15, what is -1743 + 25? -171d In base 15, what is 1783a + 4? 1783e In base 14, what is -276 + 21? -255 In base 4, what is -2233 + -22? -2321 In base 2, what is -1111000 + -10000000? -11111000 In base 3, what is 102110020021 - -1? 102110020022 In base 15, what is -1b8dd - -11? -1b8cc In base 7, what is 3 + 202064? 202100 In base 13, what is 0 + -1663b4? -1663b4 In base 13, what is 2062 - 1a? 2045 In base 2, what is 111101001111010001 - 100? 111101001111001101 In base 12, what is -10209 + -1? -1020a In base 9, what is 3 - 1800? -1786 In base 6, what is -4 + 3201205? 3201201 In base 13, what is 1 - 4bc2? -4bc1 In base 4, what is 3 + 120201110? 120201113 In base 11, what is 5 + a88527? a88531 In base 13, what is -2 - b40? -b42 In base 11, what is 2 + 3010a? 30111 In base 3, what is 0 + -20221110? -20221110 In base 4, what is 1201 - -1112303? 1120110 In base 7, what is 216313 - 1? 216312 In base 11, what is -1440a50 + -2? -1440a52 In base 2, what is 10010011000 - -101101001110? 111111100110 In base 11, what is 10720 - -60? 10780 In base 4, what is 0 + -111002? -111002 In base 10, what is 3 + -322156? -322153 In base 12, what is b3075 + -4? b3071 In base 10, what is 1 + -7999? -7998 In base 9, what is -46 - 3010? -3056 In base 14, what is -6c2 - -c? -6b4 In base 4, what is 221030131213 + 3? 221030131222 In base 6, what is -1312 + 155? -1113 In base 8, what is 10 + 56201? 56211 In base 3, what is 122221 + 12010? 212001 In base 9, what is -5 - -57607? 57602 In base 11, what is 25 - 2138? -2113 In base 7, what is 0 - 16002? -16002 In base 3, what is 11220 + 11111210? 11200200 In base 3, what is 2 + 100022112220? 100022112222 In base 8, what is 16 + 151674? 151712 In base 6, what is -1 + 224555? 224554 In base 8, what is -3454 - -15? -3437 In base 9, what is -45046 + -3? -45050 In base 10, what is -4 + -11865? -11869 In base 5, what is -1014 + 1140? 121 In base 9, what is 4800 - -34? 4834 In base 10, what is 18442 + -4? 18438 In base 2, what is 100110101110001 - -100? 100110101110101 In base 14, what is 14145 + -5? 14140 In base 3, what is 2211 + -22200022? -22120111 In base 11, what is -2935 + 3? -2932 In base 4, what is -123 + 103313? 103130 In base 7, what is -102622 - -244? -102345 In base 2, what is -100010010111 - -10011011? -11111111100 In base 8, what is 5 - 12610? -12603 In base 10, what is 1 - 241108? -241107 In base 8, what is -2150762 + -5? -2150767 In base 10, what is -13440390 - 1? -13440391 In base 10, what is -299 + -581? -880 In base 2, what is -111100001001 - -1111000? -111010010001 In base 12, what is -10711a - -1? -107119 In base 6, what is 31311 - -405? 32120 In base 11, what is a - 179748? -179739 In base 13, what is 12977 + -2? 12975 In base 4, what is -2131021 + 21332? -2103023 In base 8, what is -2022733 + 1? -2022732 In base 15, what is 24 - -1a9? 1cd In base 2, what is 10011001000 + 111100? 10100000100 In base 11, what is -3 - -15485? 15482 In base 10, what is 118823 + 0? 118823 In base 4, what is -300333 + -310? -301303 In base 3, what is -2012221210 + -12120? -2020011100 In base 12, what is 11864 + 97? 1193b In base 16, what is 3 + 1f4c? 1f4f In base 3, what is 1222202 + 120202? 2120111 In base 16, what is -71c0 - a? -71ca In base 10, what is 77 + 5835? 5912 In base 6, what is 135 - 121? 14 In base 11, what is -3552a - 5? -35534 In base 11, what is 16394 + 3? 16397 In base 4, what is -1 - -13020132? 13020131 In base 16, what is -2249 - -b? -223e In base 11, what is 980664 - -4? 980668 In base 6, what is -2 + 1151011? 1151005 In base 3, what is 10122021112 + 10? 10122021122 In base 5, what is 4 + 41422? 41431 In base 15, what is 50dc4 + -d? 50db6 In base 15, what is 3 + 113d8? 113db In base 12, what is 31 - 4? 29 In base 14, what is -71a - -8a1? 185 In base 2, what is -1001101001100 + 110011110? -1000110101110 In base 12, what is 1973 - 1? 1972 In base 13, what is -2 + 108a1? 1089c In base 10, what is -628601 - -5? -628596 In base 15, what is 46be5 + -11? 46bd4 In base 2, what is -11000011001001011 + -100? -11000011001001111 In base 11, what is -2a + 1a45? 1a16 In base 3, what is 10000 + 1111122122? 1111202122 In base 2, what is -1 + 110101110001110000? 110101110001101111 In base 9, what is 404 + 28? 433 In base 13, what is 9 + 972? 97b In base 7, what is 41115 + 34? 41152 In base 13, what is 97a58 - 2? 97a56 In base 5, what is 10300 - 1024? 4221 In base 15, what is 375 + -28? 34c In base 6, what is 1535 + 4? 1543 In base 10, what is -139903 - 5? -139908 In base 2, what is 11001011111001111101 + 101? 11001011111010000010 In base 3, what is 21 - 211100221? -211100200 In base 16, what is 2 - b84? -b82 In base 7, what is 20404 + -5? 20366 In base 8, what is 133 + -200? -45 In base 6, what is 25 - 1422410? -1422341 In base 15, what is -2ca + 24? -2a6 In base 8, what is -2265 - -111? -2154 In base 4, what is -2 + 2200012? 2200010 In base 8, what is -16 - -16525? 16507 In base 2, what is 1101111000111 - 1110? 1101110111001 In base 11, what is 224 + 36? 25a In base 2, what is -11110110001100 - 1? -11110110001101 In base 4, what is 202 - -2032? 2300 In base 2, what is -1110010011111101 - -101? -1110010011111000 In base 2, what is -10 + -110101001011110? -110101001100000 In base 16, what is 4 - 35a7? -35a3 In base 6, what is -1 - -4314242? 4314241 In base 4, what is 12 - -121201002? 121201020 In base 12, what is 156 + 1069? 1203 In base 14, what is 75 + -2b1? -23a In base 2, what is 0 + -11011101000011? -11011101000011 In base 4, what is 212033132 - -1? 212033133 In base 14, what is 23a3c - -7? 23a45 In base 6, what is 3 - -504342? 504345 In base 15, what is -5ee9e - 3? -5eea2 In base 2, what is -1110010110101010000110 - -10? -1110010110101010000100 In base 4, what is -33021303 - 2? -33021311 In base 3, what is 100201 + -10000111? -2122210 In base 2, what is -1 + -111010110100000? -111010110100001 In base 12, what is -183 + -b6? -279 In base 5, what is 123 - 22000? -21322 In base 14, what is 4 + -490d? -4909 In base 5, what is 3 - 411143? -411140 In base 5, what is -203244 - 100? -203344 In base 8, what is 50 - -2021? 2071 In base 11, what is -93 + 14933? 14850 In base 15, what is -c6e + 8? -c66 In base 12, what is -35391 + -16? -353a7 In base 7, what is -16063 + 220? -15543 In base 8, what is 5 + -77
{ "pile_set_name": "DM Mathematics" }
: 3, e: 2, h: 1, g: 3, a: 4, b: 2}. Give prob of picking 1 g and 1 e. 2/35 Two letters picked without replacement from {d: 4, j: 6}. What is prob of picking 2 j? 1/3 Calculate prob of picking 1 r, 1 c, and 1 b when three letters picked without replacement from {r: 4, c: 1, m: 1, b: 5}. 4/33 Two letters picked without replacement from vxxxxxxxxxvv. What is prob of picking 2 x? 6/11 What is prob of picking 2 k and 1 s when three letters picked without replacement from {s: 5, k: 4, m: 1}? 1/4 Calculate prob of picking 1 a, 1 i, 1 e, and 1 g when four letters picked without replacement from ezggkiakzkek. 4/495 Two letters picked without replacement from jxxxrrxtbrr. What is prob of picking 1 j and 1 t? 1/55 Three letters picked without replacement from ckcqvvwcqqccl. What is prob of picking 3 q? 1/286 What is prob of picking 1 t and 1 l when two letters picked without replacement from ttkllcqcluqtq? 3/26 Four letters picked without replacement from {i: 2, o: 1, y: 1, q: 2}. What is prob of picking 2 q, 1 i, and 1 y? 2/15 Three letters picked without replacement from {u: 2, y: 5, g: 2}. Give prob of picking 1 u and 2 y. 5/21 Calculate prob of picking 4 k when four letters picked without replacement from {k: 7, d: 2}. 5/18 What is prob of picking 1 u, 1 j, and 1 d when three letters picked without replacement from {j: 1, a: 1, b: 1, e: 2, u: 1, d: 1}? 1/35 Three letters picked without replacement from {o: 2, k: 1, i: 4, p: 7, v: 3}. What is prob of picking 1 v, 1 k, and 1 i? 3/170 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from bvqbvvvbv. 5/36 Calculate prob of picking 1 v, 2 i, and 1 l when four letters picked without replacement from vlsvmjmvjsssivi. 4/1365 Two letters picked without replacement from mymhcxcn. Give prob of picking 1 y and 1 x. 1/28 Two letters picked without replacement from hbbbbbbhbb. What is prob of picking 2 h? 1/45 Three letters picked without replacement from {i: 1, z: 2, a: 2, y: 1}. Give prob of picking 1 y, 1 z, and 1 a. 1/5 What is prob of picking 1 f and 1 a when two letters picked without replacement from frzfapa? 4/21 What is prob of picking 1 n and 1 w when two letters picked without replacement from ndrnwwdrwnrdawnd? 2/15 Two letters picked without replacement from {l: 5, z: 7}. What is prob of picking 1 l and 1 z? 35/66 Calculate prob of picking 2 a when two letters picked without replacement from {o: 3, g: 6, a: 3, c: 5}. 3/136 Two letters picked without replacement from vwutvu. What is prob of picking 1 t and 1 u? 2/15 Two letters picked without replacement from obofbbbbo. What is prob of picking 2 o? 1/12 Three letters picked without replacement from auhruruaauduuaa. What is prob of picking 1 a, 1 d, and 1 h? 1/91 Calculate prob of picking 2 k and 2 n when four letters picked without replacement from {x: 2, n: 4, k: 3, t: 4, a: 3}. 9/910 Three letters picked without replacement from idorp. What is prob of picking 1 r, 1 d, and 1 o? 1/10 What is prob of picking 1 d, 1 s, 1 n, and 1 o when four letters picked without replacement from ednodxs? 2/35 Four letters picked without replacement from iuiuuuuwuaaeueueai. Give prob of picking 2 e, 1 u, and 1 i. 2/85 Calculate prob of picking 3 p when three letters picked without replacement from pxxopxxopg. 1/120 Two letters picked without replacement from {p: 11, y: 2}. Give prob of picking 1 y and 1 p. 11/39 Four letters picked without replacement from {x: 11, l: 2}. What is prob of picking 2 l and 2 x? 1/13 Two letters picked without replacement from upnrkee. Give prob of picking 1 e and 1 n. 2/21 Two letters picked without replacement from ayjyjnylyjytn. Give prob of picking 1 a and 1 y. 5/78 What is prob of picking 2 u and 1 r when three letters picked without replacement from {r: 6, u: 10, k: 2}? 45/136 Three letters picked without replacement from {t: 2, w: 4, c: 5}. What is prob of picking 1 t, 1 c, and 1 w? 8/33 Four letters picked without replacement from ddqgsqddrdddbd. What is prob of picking 1 g, 1 b, 1 r, and 1 d? 8/1001 What is prob of picking 1 i and 1 l when two letters picked without replacement from liiilililillli? 7/13 Four letters picked without replacement from {f: 2, j: 16}. What is prob of picking 4 f? 0 Three letters picked without replacement from {p: 2, x: 1, v: 7}. Give prob of picking 1 p and 2 v. 7/20 What is prob of picking 2 x when two letters picked without replacement from xpppxxpxxa? 2/9 What is prob of picking 3 b and 1 d when four letters picked without replacement from {b: 9, d: 10}? 70/323 Two letters picked without replacement from qqqrqzqzqqrzqz. What is prob of picking 2 q? 4/13 What is prob of picking 1 h and 2 l when three letters picked without replacement from {p: 1, x: 2, l: 2, o: 1, h: 1}? 1/35 What is prob of picking 3 d when three letters picked without replacement from {l: 9, d: 7}? 1/16 Four letters picked without replacement from eeeevekee. Give prob of picking 1 v, 2 e, and 1 k. 1/6 Four letters picked without replacement from {d: 2, t: 5, u: 4, y: 4}. What is prob of picking 2 y, 1 d, and 1 t? 4/91 Calculate prob of picking 2 b when two letters picked without replacement from {a: 3, b: 3}. 1/5 Three letters picked without replacement from {h: 1, d: 5, j: 12}. What is prob of picking 2 j and 1 d? 55/136 Three letters picked without replacement from dddeededededeeee. Give prob of picking 3 e. 3/20 Calculate prob of picking 1 w and 2 y when three letters picked without replacement from pxxxpxypwyyydxy. 2/91 Calculate prob of picking 2 x when two letters picked without replacement from pzxvvvxpvvvxp. 1/26 Calculate prob of picking 1 m, 1 t, and 1 x when three letters picked without replacement from {x: 3, m: 4, r: 3, t: 3}. 18/143 Three letters picked without replacement from {b: 3, t: 3, u: 2}. Give prob of picking 3 t. 1/56 Two letters picked without replacement from wwwwwvwxxwvwvwwxww. Give prob of picking 2 w. 22/51 Calculate prob of picking 2 t when two letters picked without replacement from xxttxrxxxxxxxrtt. 1/20 What is prob of picking 1 k and 2 x when three letters picked without replacement from uxuxufxdxiukdkd? 12/455 Four letters picked without replacement from {t: 7, k: 12}. Give prob of picking 3 k and 1 t. 385/969 Three letters picked without replacement from xxrprpprxrprxx. Give prob of picking 1 r and 2 x. 25/182 What is prob of picking 2 c when two letters picked without replacement from {s: 7, c: 2}? 1/36 What is prob of picking 2 n when two letters picked without replacement from nnknnnnnnnnnnknnnnn? 136/171 Two letters picked without replacement from jqjsjjalqj. What is prob of picking 1 s and 1 j? 1/9 What is prob of picking 1 u and 1 e when two letters picked without replacement from qeuueeuedeeqeqeed? 27/136 Four letters picked without replacement from {q: 1, k: 6, j: 1, z: 8}. What is prob of picking 1 k, 1 z, and 2 j? 0 What is prob of picking 1 l and 1 j when two letters picked without replacement from ufpuclfjl? 1/18 Calculate prob of picking 4 j when four letters picked without replacement from jjjjzjjjjjjjjjzjjj. 91/153 Calculate prob of picking 1 r and 1 b when two letters picked without replacement from bbyyrrbybrrryzz. 4/21 Two letters picked without replacement from {b: 1, x: 1, u: 1, r: 1, w: 2, m: 1}. What is prob of picking 1 r and 1 b? 1/21 Two letters picked without replacement from uuqqnqznunq. What is prob of picking 1 n and 1 z? 3/55 Three letters picked without replacement from fffgnggnffgnff. Give prob of picking 1 f, 1 g, and 1 n. 3/13 Three letters picked without replacement from {y: 2, h: 4, s: 3, e: 1, a: 7}. What is prob of picking 1 y and 2 h? 3/170 Calculate prob of picking 2 r and 1 q when three letters picked without replacement from yjroryq. 1/35 What is prob of picking 4 e when four letters picked without replacement from {e: 13, i: 5}? 143/612 Four letters picked without replacement from {c: 6, m: 1, u: 4}. What is prob of picking 1 u, 2 c, and 1 m? 2/11 Calculate prob of picking 1 u and 1 z when two letters picked without replacement from zzkukkkdzzkp. 2/33 Two letters picked without replacement from qqqqcqqqqqpqqqqq. Give prob of picking 1 c and 1 p. 1/120 Three letters picked without replacement from {m: 2, v: 9, o: 5}. Wha
{ "pile_set_name": "DM Mathematics" }
- 2*p + 48 = s*i. What is the remainder when p is divided by 12? 10 Let s(q) = -q**2 + 10*q + 8. Let w be s(9). Suppose -w = -h + 20. Calculate the remainder when h is divided by 13. 11 Suppose 0 = -14*t + 6*t + 400. What is the remainder when t is divided by 18? 14 Let w(c) = -9 + 1 + 28*c**2 + c**3 - 10*c - 21*c**2. Let l be ((-6)/4)/(3/16). What is the remainder when 23 is divided by w(l)? 7 Let c = -6 + -2. Let v = 73 + c. Calculate the remainder when v is divided by 22. 21 Let u = -2 - -3. What is the remainder when 2 is divided by u? 0 Let a(s) = -s**3 + 6*s**2 + s - 7. Let n(c) = c**2 + 2*c + 2. Let i be n(-3). Calculate the remainder when a(i) is divided by 3/(2/(6 - -2)). 11 Let r = 46 - 98. Calculate the remainder when r/(-4) + 0 + -2 is divided by 3. 2 Let m = 76 + -67. Suppose -2*r - 41 = 5*z - 156, -4*z - 5*r = -75. What is the remainder when z is divided by m? 7 Suppose 110 = 28*h - 23*h. Calculate the remainder when 63 is divided by h. 19 Calculate the remainder when -1 + ((-108)/10)/((-56)/140) is divided by 74/10 - 2/5. 5 Let c be (39/(-6))/(1/(-2)). Let g = c + -6. Calculate the remainder when g/(-3)*(-2 + -1) is divided by 4. 3 Suppose 5*v = 2*v. Suppose 2*o + v*o = 22. Calculate the remainder when o is divided by 3 - (-2)/(-4)*-2. 3 Let h(l) = 2*l**2 - 2*l + 7. Calculate the remainder when h(5) is divided by 12. 11 Let y(t) be the third derivative of t**5/30 + t**4/24 - t**3/3 + 5*t**2. Calculate the remainder when 38 is divided by y(2). 6 Let u(b) = b**3 + 4*b**2 + 2*b - 2. Let o be u(-3). Calculate the remainder when (5 - 6)/(o/(-5)) is divided by 3. 2 Suppose 2 = 3*t - 70. Suppose 2*l - 184 = -2*l. What is the remainder when l is divided by t? 22 Suppose -m + 29 = 3*o, -o - 62 - 15 = -4*m. Let a be (m/(-25))/(2/(-20)). Suppose a = -3*n + 7*n. What is the remainder when 6 is divided by n? 0 Suppose 20 = -2*t + 7*t. What is the remainder when 23 is divided by t? 3 Suppose -4*c = 20, 5*y + 5*c = y - 25. Let k(b) = 2*b + 20 - 2*b - 4*b**2 + 3*b**2 - b**3. What is the remainder when 38 is divided by k(y)? 18 Let w be 4/(-14) - 48/(-21). Suppose 144 = -r - w*r. Let d = 13 - r. Calculate the remainder when d is divided by 21. 19 Let q be 0/(1 + 0 - 2). Suppose q*w - 45 = 3*w. Calculate the remainder when -2 + w*(-8)/3 is divided by 13. 12 Suppose 4*h + d - 23 = 0, 4*h + 5*d - 35 = -0*h. Calculate the remainder when 7 is divided by h. 2 Let d = -13 - -19. Let u = 28 - 17. Calculate the remainder when u is divided by d. 5 Suppose 5*b + 5*i = 25, -4*b - 3*i + 26 = 1. What is the remainder when 82/4 - (-3)/(-2) is divided by b? 9 Let c(n) = -n - 1. Let p be c(-4). Suppose -5*f - p*r + 100 = -5*r, -3*f = -r - 59. What is the remainder when f is divided by 7? 4 Suppose -3*y = -v - 60, -80 = -4*y + 8*v - 4*v. What is the remainder when y is divided by 11? 9 Let j be 2*((-45)/(-2))/3. Suppose 0 = 2*t - j - 29. Suppose -u + 32 = 3*u. What is the remainder when t is divided by u? 6 Let p(k) = k + 14. What is the remainder when 14 is divided by p(-10)? 2 Suppose 5*w = -n + 154, -4*w + 3*w = -n - 26. Let f = w + -23. Calculate the remainder when f is divided by 4. 3 Suppose 0 = -0*w + w - 3. Let f(q) = 2*q**2 - q - 4. Suppose -n = m + m - 21, -145 = -5*n - 2*m. What is the remainder when n is divided by f(w)? 9 Let k(a) = -3*a**2 + 3*a**3 - 2 - 1 - 4*a**3. Suppose 0*y = -y - 3*c + 17, -4*y - 3*c = -32. What is the remainder when k(-4) is divided by y? 3 Suppose -5*g + 10 = -4*u, -g - 2*g + 6 = 4*u. Suppose -3*d - d + 208 = u. Calculate the remainder when d is divided by 18. 16 Suppose -4*h + 79 = -1. Let y = 23 + -8. Suppose 0*z + 5*z - y = j, 4*j - h = 0. What is the remainder when 10 is divided by z? 2 Let a = -72 + 144. Suppose -d + 78 = -4*k, -2*d + d = -k - a. Calculate the remainder when d is divided by 18. 16 Let o(s) = s**2 - 5*s + 5. Let i be o(5). Let f = i - -17. Suppose 23 + f = 3*l. What is the remainder when 44 is divided by l? 14 Let b = -23 + 35. What is the remainder when 35 is divided by b? 11 Suppose -4*w = -0*w. Let t = 1 + w. What is the remainder when ((-2)/4)/(t/(-42)) is divided by 11? 10 What is the remainder when 24 is divided by 2/(-14) - (-198)/14? 10 Let d(f) = -f**3 + 9*f + 5. What is the remainder when 7 is divided by d(-3)? 2 Let g = 2 - -2. Suppose -d + g*d - 27 = 0. Suppose 114 = 4*v + 14. Calculate the remainder when v is divided by d. 7 Let d(f) = 14*f - 2. Let u(i) = -i + 25. Let x(l) = l**3 + 6*l**2 - l + 5. Let v be x(-6). Calculate the remainder when d(2) is divided by u(v). 12 Let z = -67 + 86. What is the remainder when 37 is divided by z? 18 Let w be (-2)/1 + 3 - -2. Let h = 6 + w. Calculate the remainder when (20/10)/(-2*1/(-34)) is divided by h. 7 Calculate the remainder when 6/((-114)/(-28) - 4) is divided by 44. 40 Let r(y) = -y**2 - 3*y + 1. Let p(q) = 2*q - 1. Let l(o) = -3*p(o) - 2*r(o). What is the remainder when 10 is divided by l(1)? 1 Let o = -6 - -41. What is the remainder when o is divided by 10? 5 Let w = 111 + -49. Calculate the remainder when w is divided by 8. 6 Let m = 6 - 17. Let b = m - -21. What is the remainder when b is divided by ((-6)/(-4) - 0)*4? 4 Suppose 6*v = 3*v + 306. What is the remainder when v is divided by 35? 32 Let t = 5 + -2. Suppose -85 = -2*a + t. Let w = 30 - 15. What is the remainder when a is divided by w? 14 Let d(g) = -g**3 + 5*g**2 + 2*g - 3. Let w = 8 + 14. Calculate the remainder when d(-3) is divided by w. 19 Suppose 7*d - 2*d = 15. What is the remainder when (-147)/(-5) - 12/30 is divided by 12 + (1 - d) + 0? 9 Suppose 0 = -d - 1, 3*x + 0*d - 4*d - 40 = 0. Let g = -6 - -10. Let o = 38 - g. What is the remainder when o is divided by x? 10 Suppose 4*r + 36 = 2*p, r - 45 = -3*p - 19. Let z(h) = 2*h**2 + 2*h + 5. Let c = 11 - 15. What is the remainder when z(c) is divided by p? 9 Let q(s) = -s**3 - 3. Let m be q(0). Suppose 5*l = -0*l + 45. Calculate the remainder when (-158)/(-6) + 1/m is divided by l. 8 Suppose -3*o = -c - 15 + 3, 18 = 3*o - 3*c. Calculate the remainder when 9 is divided by o. 0 Let b = 11 + 0. What is the remainder when 20 is divided by b? 9 Let r(x) = 9*x - 1. What is the remainder when 32 is divided by r(2)? 15 Let k(m) = m**2 - 16*m + 35. What is the remainder when 99 is divided by k(15)? 19 Let o = -45 - -70. What is the remainder when o is divided by 7? 4 Suppose -c + 6*c + 3*v = 68, -54 = -4*c - 2*v. Calculate the remainder when 32 is divided by c. 6 Let k = 9 + -4. Suppose 0 = 3*g + 2*g. Let c(x) = x**3 + x + 2. Calculate the remainder when k is divided by c(g). 1 Let o(k) = k**3 + 24*k**2 + 20*k + 7. What is the remainder when o(-23) is divided by 20? 16 Let s = -1 + 1. Suppose u + 0*u - 3 = s. Let f(r) = r**3 + 10*r**2 + 6*r - 19. Calculate the remainder when f(-9) is divided by u. 2 Suppose 2*w + 10 = 5*j - 146, -5*j + 141 = 3*w. Let l = 20 - 12. What is the remainder when j is divided by l? 6 Let o(z) = 2*z - 16. Suppose -g + 1 = -3. Suppose 2*f + f + 5 = 5*p, 5*p + g*f = 40. Calculate the remainder when o(13) is divided by p. 2 Suppose 3*y - 17 = -o, 3*o + y = -0*o + 59. Suppose -5*m = 0, 4*m - 7 = a - 27. Let f = -9 + a. What is the remainder when o is divided by f? 9 Suppose z + 25 = -4*z. Let b(k) = -6*k + 4 - 2*k**2 + 0*k**2 + k**2 + 0*k. Calculate the remainder when 17 is divided by b(z). 8 Suppose 0 = -2*q - s + 44, 5*s = -5*q + 92 + 28. What is the remainder when 37 is divided by q? 17 Suppose 0 = -0*l - 5*l + 10. Suppose g - 6 - 16 = 4*z, 5*g - 4*z = 46. Calculate the remainder when ((-11)/l)/((-1)/2) is divided by g. 5 Suppose 5*v - 75 = s, 0 = -3*v + 8*v + s - 75. Let r = -32 + 59. What is the remainder when r is divided by v? 12 Suppose -k = q - 8, -4*k + 14 = 4*q - 6*k. Suppose -q*b = -298 + 73. Suppose -3*j = 2*j - b. Calculate the remainder when 25 is divided by j. 7 Let j(y) = y**2 - 5*y - 9. What is the remainder when j(8) is divided by 4? 3 Let z be 44/10 - (-4)/(-10). Suppose -4*b = z*o - 44, 3*o = -b + 5*o - 1. Calculate the remainder when 12 is divided by b. 5 Suppose -2*j + 112 = 3*c, 2*j + c = 3*j - 46. Suppose y - 5*y + 5 = x, -3*x + y - 24 = 0. Calculate the remainder when j is divided by (-134)/(-8) - x/28. 16 Suppose 2*a + 7 = -1, 4*a = -s + 9. What is the remainder when 98 is divided by s
{ "pile_set_name": "DM Mathematics" }
9566? 3 What is the ten thousands digit of 16203? 1 What is the tens digit of 720? 2 What is the hundreds digit of 761? 7 What is the tens digit of 75475? 7 What is the units digit of 11130? 0 What is the thousands digit of 22896? 2 What is the units digit of 124124? 4 What is the ten thousands digit of 40808? 4 What is the hundreds digit of 77218? 2 What is the hundreds digit of 13490? 4 What is the hundreds digit of 3428? 4 What is the tens digit of 20111? 1 What is the units digit of 1984? 4 What is the tens digit of 18184? 8 What is the thousands digit of 7348? 7 What is the tens digit of 11542? 4 What is the hundreds digit of 624? 6 What is the hundred thousands digit of 109516? 1 What is the tens digit of 4543? 4 What is the tens digit of 3565? 6 What is the tens digit of 23? 2 What is the units digit of 12176? 6 What is the hundreds digit of 2244? 2 What is the units digit of 883? 3 What is the units digit of 49128? 8 What is the units digit of 8? 8 What is the hundreds digit of 9438? 4 What is the units digit of 196? 6 What is the thousands digit of 43776? 3 What is the thousands digit of 36726? 6 What is the ten thousands digit of 113054? 1 What is the tens digit of 677? 7 What is the ten thousands digit of 17773? 1 What is the units digit of 11371? 1 What is the tens digit of 1895? 9 What is the hundreds digit of 26273? 2 What is the tens digit of 76162? 6 What is the tens digit of 10130? 3 What is the hundreds digit of 5677? 6 What is the hundreds digit of 1620? 6 What is the thousands digit of 118490? 8 What is the thousands digit of 3247? 3 What is the thousands digit of 2112? 2 What is the hundreds digit of 2412? 4 What is the thousands digit of 2609? 2 What is the units digit of 20302? 2 What is the tens digit of 134? 3 What is the hundreds digit of 14421? 4 What is the units digit of 2117? 7 What is the tens digit of 1604? 0 What is the hundreds digit of 3184? 1 What is the units digit of 10034? 4 What is the tens digit of 1276? 7 What is the units digit of 13057? 7 What is the thousands digit of 31412? 1 What is the hundreds digit of 6683? 6 What is the hundreds digit of 12955? 9 What is the units digit of 1878? 8 What is the units digit of 3834? 4 What is the thousands digit of 18351? 8 What is the tens digit of 540? 4 What is the tens digit of 10545? 4 What is the tens digit of 10064? 6 What is the hundreds digit of 4911? 9 What is the hundreds digit of 6595? 5 What is the units digit of 76201? 1 What is the thousands digit of 42006? 2 What is the tens digit of 35877? 7 What is the thousands digit of 4107? 4 What is the tens digit of 1008? 0 What is the tens digit of 19400? 0 What is the hundreds digit of 79815? 8 What is the tens digit of 192? 9 What is the hundreds digit of 3707? 7 What is the hundreds digit of 96453? 4 What is the hundreds digit of 612? 6 What is the tens digit of 18931? 3 What is the tens digit of 30904? 0 What is the hundreds digit of 13233? 2 What is the tens digit of 10358? 5 What is the hundred thousands digit of 162318? 1 What is the ten thousands digit of 43054? 4 What is the units digit of 6306? 6 What is the hundreds digit of 3463? 4 What is the tens digit of 115? 1 What is the units digit of 2098? 8 What is the tens digit of 28439? 3 What is the thousands digit of 3955? 3 What is the units digit of 8101? 1 What is the ten thousands digit of 96092? 9 What is the tens digit of 49832? 3 What is the thousands digit of 2027? 2 What is the units digit of 1905? 5 What is the tens digit of 5643? 4 What is the hundreds digit of 244? 2 What is the units digit of 27030? 0 What is the hundreds digit of 8708? 7 What is the hundreds digit of 11674? 6 What is the ten thousands digit of 64486? 6 What is the units digit of 82993? 3 What is the units digit of 2206? 6 What is the units digit of 1061? 1 What is the units digit of 4582? 2 What is the hundreds digit of 4236? 2 What is the hundreds digit of 1750? 7 What is the hundreds digit of 49853? 8 What is the thousands digit of 60511? 0 What is the tens digit of 618? 1 What is the tens digit of 2201? 0 What is the units digit of 30367? 7 What is the hundreds digit of 2686? 6 What is the thousands digit of 9574? 9 What is the thousands digit of 5575? 5 What is the hundreds digit of 1245? 2 What is the hundreds digit of 37162? 1 What is the thousands digit of 9034? 9 What is the hundreds digit of 1631? 6 What is the thousands digit of 44260? 4 What is the hundreds digit of 1878? 8 What is the tens digit of 30247? 4 What is the tens digit of 12976? 7 What is the units digit of 57522? 2 What is the units digit of 1963? 3 What is the units digit of 447? 7 What is the thousands digit of 1111? 1 What is the thousands digit of 9727? 9 What is the ten thousands digit of 121863? 2 What is the thousands digit of 14738? 4 What is the hundreds digit of 18032? 0 What is the hundreds digit of 1239? 2 What is the hundreds digit of 8908? 9 What is the tens digit of 706? 0 What is the tens digit of 961? 6 What is the tens digit of 20998? 9 What is the tens digit of 1193? 9 What is the units digit of 15117? 7 What is the thousands digit of 1097? 1 What is the tens digit of 596? 9 What is the ten thousands digit of 19443? 1 What is the ten thousands digit of 79624? 7 What is the hundreds digit of 525? 5 What is the hundreds digit of 11386? 3 What is the units digit of 4586? 6 What is the ten thousands digit of 24037? 2 What is the units digit of 6294? 4 What is the units digit of 3138? 8 What is the units digit of 4983? 3 What is the hundreds digit of 11917? 9 What is the units digit of 2041? 1 What is the hundred thousands digit of 166681? 1 What is the units digit of 7801? 1 What is the thousands digit of 89914? 9 What is the tens digit of 1782? 8 What is the hundreds digit of 2774? 7 What is the thousands digit of 2189? 2 What is the thousands digit of 44324? 4 What is the thousands digit of 82617? 2 What is the tens digit of 391? 9 What is the tens digit of 7418? 1 What is the tens digit of 9032? 3 What is the thousands digit of 4227? 4 What is the ten thousands digit of 19061? 1 What is the units digit of 4941? 1 What is the thousands digit of 1070? 1 What is the hundreds digit of 79050? 0 What is the units digit of 327? 7 What is the units digit of 38057? 7 What is the ten thousands digit of 12860? 1 What is the units digit of 1069? 9 What is the hundreds digit of 6866? 8 What is the thousands digit of 71966? 1 What is the ten thousands digit of 45888? 4 What is the units digit of 2249? 9 What is the ten thousands digit of 12001? 1 What is the units digit of 11828? 8 What is the ten thousands digit of 53036? 5 What is the thousands digit of 29097? 9 What is the hundreds digit of 2010? 0 What is the thousands digit of 2343? 2 What is the hundred thousands digit of 148721? 1 What is the units digit of 2349? 9 What is the units digit of 4397? 7 What is the units digit of 26035? 5 What is the hundreds digit of 4366? 3 What is the tens digit of 133? 3 What is the hundreds digit of 1545? 5 What is the thousands digit of 2677? 2 What is the hundreds digit of 127723? 7 What is the hundreds digit of 5600? 6 What is the ten thousands digit of 32621? 3 What is the ten thousands digit of 21470? 2 What is the ten thousands digit of 14732? 1 What is the thousands digit of 5433? 5 What is the units digit of 92615? 5 What is the hundreds digit of 728? 7 What is the hundreds digit of 3519? 5 What is the thousands digit of 1234? 1 What is the hundreds digit of 10739? 7 What is the tens digit of 6196? 9 What is the units digit of 13134? 4 What is the units digit of 6730? 0 What is the hundreds digit of 3267? 2 What is the tens digit of 65551? 5 What is the units digit of 3992? 2 What is the tens digit of 504? 0 What is the tens digit of 7237? 3 What is the units digit of 8814? 4 What is the tens digit of 133456? 5 What is the tens digit of 13279? 7 What is the thousands digit of 5350? 5 What is the tens digit of 18499? 9 What is the units digit of 512? 2 What is the tens digit of 9553? 5 What is the tens digit of 21789? 8 What is the units digit of 21491? 1 What is the thousands digit of 19939? 9 What is the tens digit of 7145? 4 What is the tens digit of 9113? 1 What is the hundreds digit
{ "pile_set_name": "DM Mathematics" }
Sort 0.5, 80, -2/13, -4, 2/9, 2/11. -4, -2/13, 2/11, 2/9, 0.5, 80 Sort 4, 0, -5, 2, -1, -141 in decreasing order. 4, 2, 0, -1, -5, -141 Put -3/11, 105, -2/3 in decreasing order. 105, -3/11, -2/3 Sort -1339, 0, -5, 1 in ascending order. -1339, -5, 0, 1 Put 1, 2, 341725 in ascending order. 1, 2, 341725 Put 12, 5557, -2, 4 in decreasing order. 5557, 12, 4, -2 Put 2/7, -0.31, -5, 0.18 in ascending order. -5, -0.31, 0.18, 2/7 Put -5, 3, 5, 277, -4 in descending order. 277, 5, 3, -4, -5 Put -0.4, 0.1, -5, 0.4, 14, -6/67 in decreasing order. 14, 0.4, 0.1, -6/67, -0.4, -5 Sort 279, -5, 371. -5, 279, 371 Sort 10/19, -3, -3644. -3644, -3, 10/19 Sort 0.1, 5, -5, 0.067, -1/5 in decreasing order. 5, 0.1, 0.067, -1/5, -5 Sort 0.122, 78, 1, 2. 0.122, 1, 2, 78 Put -6/19, 40, 2/3, 0.1 in decreasing order. 40, 2/3, 0.1, -6/19 Put 2, -3, 0.08, 13, -2.7, -0.5 in decreasing order. 13, 2, 0.08, -0.5, -2.7, -3 Put -1, 1, -2, 29/4, 362 in decreasing order. 362, 29/4, 1, -1, -2 Sort 3, -0.03, -2, -3, -1451, 0.4 in decreasing order. 3, 0.4, -0.03, -2, -3, -1451 Sort 2, 7, -3, 16. -3, 2, 7, 16 Sort 0, -0.5, -0.29, -1003 in increasing order. -1003, -0.5, -0.29, 0 Sort 57, -0.09, 24 in decreasing order. 57, 24, -0.09 Sort 2660, -2, 4, 1, 2 in increasing order. -2, 1, 2, 4, 2660 Sort 82, -3, -194 in decreasing order. 82, -3, -194 Put -11, -2, 24, -12, 2 in decreasing order. 24, 2, -2, -11, -12 Sort -23, 80, -2, -6, 4, -4 in decreasing order. 80, 4, -2, -4, -6, -23 Put -59.6, -2/3, -3, -2/15 in increasing order. -59.6, -3, -2/3, -2/15 Sort -29392, 0.5, 0, 1/8 in descending order. 0.5, 1/8, 0, -29392 Sort -0.06, -4, 32, -5, -0.5 in descending order. 32, -0.06, -0.5, -4, -5 Sort 5.6, -0.104, 0, -1/2 in increasing order. -1/2, -0.104, 0, 5.6 Sort -1, 0.2, -1.9, 0, 2/67, -8 in increasing order. -8, -1.9, -1, 0, 2/67, 0.2 Sort -2070, 1, 3, -3, -1/3 in increasing order. -2070, -3, -1/3, 1, 3 Sort -2894, -8, -3/7, -1, -5, -2/11 in descending order. -2/11, -3/7, -1, -5, -8, -2894 Sort -19, 12, -2, 2, -1 in descending order. 12, 2, -1, -2, -19 Sort -223, -0.2, -11/3 in descending order. -0.2, -11/3, -223 Sort -4, 39, 7, 1. -4, 1, 7, 39 Sort -4, -1, -2/55, 10/169. -4, -1, -2/55, 10/169 Put -4/3, 2, -2, 250.34 in descending order. 250.34, 2, -4/3, -2 Put -5, -92, -2823, 2 in decreasing order. 2, -5, -92, -2823 Put -0.06, 1/3, 0.4, 0.29426 in descending order. 0.4, 1/3, 0.29426, -0.06 Put 5, -5, 2/11, -0.2, -1293 in decreasing order. 5, 2/11, -0.2, -5, -1293 Put -1, -640, 45 in decreasing order. 45, -1, -640 Sort -7, 29, -2, 19, 0 in increasing order. -7, -2, 0, 19, 29 Put -6, -1, 7, -67 in descending order. 7, -1, -6, -67 Sort -10, -4, -72, 0 in ascending order. -72, -10, -4, 0 Sort 629, 1/5, 1/2, 2. 1/5, 1/2, 2, 629 Put 3, -2, 74, 7, -4 in ascending order. -4, -2, 3, 7, 74 Sort -5, -566, 0, -0.4 in ascending order. -566, -5, -0.4, 0 Put 12, 0, 2185 in increasing order. 0, 12, 2185 Put -0.045, 3/4, -0.5, -1/31 in increasing order. -0.5, -0.045, -1/31, 3/4 Sort 5, -362, -5, -6, 9, -2 in decreasing order. 9, 5, -2, -5, -6, -362 Put -2276, 2, -35 in descending order. 2, -35, -2276 Put 2, -41, 0, -112 in increasing order. -112, -41, 0, 2 Put 657, -4, -5, 0 in descending order. 657, 0, -4, -5 Sort -5, -2, -326288 in decreasing order. -2, -5, -326288 Put 6, -5, 4, -2, -4 in descending order. 6, 4, -2, -4, -5 Put -7, -33, 2.64 in ascending order. -33, -7, 2.64 Put 2/13, 11, 0.5, -1/16, -2, -5/7 in descending order. 11, 0.5, 2/13, -1/16, -5/7, -2 Put 2, -34, 1, -3 in decreasing order. 2, 1, -3, -34 Sort -2, 2, -12, 2724, 1 in ascending order. -12, -2, 1, 2, 2724 Put -168, -2, 14, 7 in descending order. 14, 7, -2, -168 Put 7207, -1, -3, 3/10, -0.2 in descending order. 7207, 3/10, -0.2, -1, -3 Sort -2, -4, 2, 17, 15 in descending order. 17, 15, 2, -2, -4 Sort 3, 2, 5, -20, -1 in descending order. 5, 3, 2, -1, -20 Sort -5, -2, -4, 4, 10, 5 in decreasing order. 10, 5, 4, -2, -4, -5 Put -10, 1.9, 0, -0.07, -5 in descending order. 1.9, 0, -0.07, -5, -10 Sort -2/3, -4/9, -22, -1/4. -22, -2/3, -4/9, -1/4 Sort -2, -7, 77, -16. -16, -7, -2, 77 Sort 4/9, 1, -1/6, -192 in descending order. 1, 4/9, -1/6, -192 Put 209, 0.1, 0.4, -5 in decreasing order. 209, 0.4, 0.1, -5 Sort 3809.9, 7, 1. 1, 7, 3809.9 Sort -4, 1, 2/9, -1.4439 in decreasing order. 1, 2/9, -1.4439, -4 Put -4, -3/5, -354.3238 in decreasing order. -3/5, -4, -354.3238 Sort 2, 1/5, 1.19, 0.1, 0.4. 0.1, 1/5, 0.4, 1.19, 2 Sort 193, 233, 0, 1, -1, 4 in increasing order. -1, 0, 1, 4, 193, 233 Sort 449, 67, 11 in descending order. 449, 67, 11 Put 18, 27, 1/18, 0.3 in decreasing order. 27, 18, 0.3, 1/18 Sort 2/9, -4/13, 5, 1/2, 351 in descending order. 351, 5, 1/2, 2/9, -4/13 Put 4, -10, 2, -496 in increasing order. -496, -10, 2, 4 Put 8/3, 12, -13 in increasing order. -13, 8/3, 12 Sort 4, 0, 182, -51, -1 in ascending order. -51, -1, 0, 4, 182 Put -1/5, 0.2, 1/4, 2/5, -2/203 in decreasing order. 2/5, 1/4, 0.2, -2/203, -1/5 Sort 2, 4570, -1, -2 in increasing order. -2, -1, 2, 4570 Put -0.5, 159, -5/7, -5 in decreasing order. 159, -0.5, -5/7, -5 Put -6, 240, -5, -2, 4 in increasing order. -6, -5, -2, 4, 240 Sort 1/9, -73675, -2/9, -1, -5 in descending order. 1/9, -2/9, -1, -5, -73675 Sort 11, -16842, 0 in increasing order. -16842, 0, 11 Sort 31, -125, 1, -4, 5, 3 in descending order. 31, 5, 3, 1, -4, -125 Put -0.1, 1/82728, 0.4, -5, 1/3 in ascending order. -5, -0.1, 1/82728, 1/3, 0.4 Sort -3, 4, 21, -0.5, 11, 7 in descending order. 21, 11, 7, 4, -0.5, -3 Sort 22, 4, 4349 in decreasing order. 4349, 22, 4 Sort -2, 77, 2, 0, 24 in increasing order. -2, 0, 2, 24, 77 Sort -2, 1/14, -5, -0.2, -611, 3/2. -611, -5, -2, -0.2, 1/14, 3/2 Put -5, 5, 0, 94, -48 in descending order. 94, 5, 0, -5, -48 Put -0.4, 8, 0.4, -105 in descending order. 8, 0.4, -0.4, -105 Sort -5, 1/27, -1, -2/15 in ascending order. -5, -1, -2/15, 1/27 Put -1, 10, -16, 171 in descending order. 171, 10, -1, -16 Put 1, -22, 6, 2/9, -26 in increasing order. -26, -22, 2/9, 1, 6 Put 22863, 3, 0 in decreasing order. 22863, 3, 0 Sort 1/4, 0.39, 65, -17 in descending order. 65, 0.39, 1/4, -17 Sort -119, 26, 1. -119, 1, 26 Sort -0.1, 4/5, 5, -0.12, 2/11 in decreasing order. 5, 4/5, 2/11, -0.1, -0.12 Put 5, -4, 4, -46, 3, -87 in descending order. 5, 4, 3, -4, -46, -87 Sort 3, -129, -1, 4, 50. -129, -1, 3, 4, 50 Sort 24, 5, -260, 4, -3. -260, -3, 4, 5, 24 Sort 2, -4, 911, -2, 6, -3. -4, -3, -2, 2, 6, 911 Put -41, 3, 4, -4, -2, 2 in descending order. 4, 3, 2, -2, -4, -41 Sort 54, -10, 360. -10, 54, 360 Sort -1, 0, -2, -59, 1, -12 in decreasing order. 1, 0, -1, -2, -12, -59 Put 1, 15, -4, 3, 11 in increasing order. -4, 1, 3, 11, 15 Sort 20, -4, -2/753. -4, -2/753, 20 Sort 2, -1/15, -516, -2/11. -516, -2/11, -1/15, 2 Put 8, 3, 4, -17, 5 in decreasing order. 8, 5, 4, 3, -17 Sort 0.3, 2, 4/9, -0.74, -1, 1. -1, -0.74, 0.3, 4/9, 1, 2 Put -0.6, 36, 2/9, 4/19, 2 in decreasing order. 36, 2, 2/9, 4/19, -0.6 Put -1, 1539, -4, 1, 0 in decreasing order. 1539, 1, 0, -1, -4 Put 7, -5, 15, 3, -3 in increasing order. -5, -3, 3, 7, 15 Put -2, 4, 6386 in ascending order. -2, 4, 6386 Sort -7, -5, -4, -1824. -1824, -7, -5, -4 Sort 653, -4, 1, 8 in increasing order. -4, 1, 8, 653 Sort -0.03, -5/2, -3, 4, -3246 in increasing order. -3246, -3, -5/2, -0.03, 4 Put -4, 0.05, 3, 4, -55/7 in increasing order. -55/7, -4, 0.05, 3, 4 Sort -48, 0, 2, -9 in descending order. 2, 0, -9, -48 Put -6911, 4, 24/11, 0.3 in decreasing order. 4, 24/11, 0.3, -6911 Put 1/3, 0.2, 0.27, -0.069, 2 in decreasing order. 2, 1/3, 0.27, 0.2, -0.069 Put 107, 9, 5, -2, 0, 2 in decreasing order. 107, 9, 5, 2, 0, -2 Sort 6, -624, -2, 3, -79. -624, -79, -2, 3, 6 Put 0.046, -1, -1/2, -0.3 in decreasing order. 0.046, -0.3, -1/2, -1 Put 1.477, -2, 0.2, -18 in descending order. 1.477, 0.2, -2, -18 Put 0, 3/5, -4, 0.5, -5.55 in decreasing order. 3/5, 0.5, 0, -4, -5.55 Put 702, 7, -29 in ascending order. -29, 7, 702 Sort 3, -2, 174, -4, 196 in descending order. 196, 174, 3, -2, -4 Sort 1666, -13, -5 in descending order. 1666, -5, -13 Put 0.54, -25/6, -1, -24, 5 in increasing order. -24, -25/6, -1, 0.54, 5 Sort 4, -1, -220, -2, 0 in descending order. 4, 0, -1, -2, -220 Sort -648, 2, -9, -5. -648, -9, -5, 2 Sort -46, 1723, 3 in decreasing order. 1723, 3, -46 Put 3
{ "pile_set_name": "DM Mathematics" }
lify (q/(q**11/q))**(2/43)*(q/(q*q**(-7)))**30 assuming q is positive. q**(9012/43) Simplify ((o/(o**(-2)*o)*o**(-10))/((o**(-8)/o)/o*o*o*o/(o/(o/(o/o**(2/21)))*o)))**13 assuming o is positive. o**(247/21) Simplify ((o/((o**(-6)*o)/o))/o)**(-38/5)*(o/(o*o*o**(-2)*o)*o)**(-11/3) assuming o is positive. o**(-739/15) Simplify ((t**(-14)*t*t**(1/3))**(-2/15))**(-12/7) assuming t is positive. t**(-304/105) Simplify ((t**7/t)/(t**(-16)/t*t*t))/(t**(-14)*(t*t**11*t)/t*t) assuming t is positive. t**22 Simplify ((c**(12/7))**11)**(-13/4) assuming c is positive. c**(-429/7) Simplify (m**(-10)/(m/(m/(m*(m**(-2/27)/m)/m*m)*m)*m)*(m*m/((m*m/m**13)/m))/m*m*m**(-1/2))**0 assuming m is positive. 1 Simplify v/(v*((v/(v**(-3)*v))/v)/v)*((v*v**2)/v)/v*(v**(-3))**(-15) assuming v is positive. v**45 Simplify (((u/(u**(2/9)*u*u))**(3/8))**(9/2))**27 assuming u is positive. u**(-891/16) Simplify (w**8)**(-25)/((w**(-20/3)*w)/w**(-5/2)) assuming w is positive. w**(-1181/6) Simplify (d*((d*(d**16*d)/d)/d)/d*d)**(-4/3)/(d*d/(d/(d/((d/(d/d**(2/3)))/d*d)*d))*d)**46 assuming d is positive. d**(-176) Simplify ((l**(-3/10)/l*l*l**(15/4))**(-7/8))**11 assuming l is positive. l**(-5313/160) Simplify (n**(-26)/(n**(2/7)*n))/(n**(5/2)/n**(4/7)) assuming n is positive. n**(-409/14) Simplify ((a*a**(-7))/a*a**(1/4))/(a**0/a**(1/14)) assuming a is positive. a**(-187/28) Simplify (u/u**16*u)**(1/4)/(u**(-6))**(20/11) assuming u is positive. u**(163/22) Simplify y/(y*(y**(3/4)/y)/y*y)*y**(6/19)*(((y*y/y**5)/y)/y)**(-1/10) assuming y is positive. y**(81/76) Simplify y**(-19)*y/y**(-3/5)*(y/(y/y**(-24)))/y**(5/7) assuming y is positive. y**(-1474/35) Simplify ((v/v**(-24))/((v*v*(v*v*v*v**(-32)*v)/v)/v))/(((v*v**32*v)/v*v)/v)**(3/2) assuming v is positive. v**(7/2) Simplify ((j**9*(((j/j**(-3/8)*j)/j)/j)/j)**(-25/4))**48 assuming j is positive. j**(-5025/2) Simplify (j**(-6)/j**(-3)*(j**(1/5))**12)**(-13) assuming j is positive. j**(39/5) Simplify ((d/d**(-1/4))/(d*d**36/d))/((d/(d*d**(-36)))/d**(-15/4)) assuming d is positive. d**(-149/2) Simplify (g**(7/6)*g*g**(-2/13))/(g**(1/2)*g*((g*g**13*g*g)/g*g)/g) assuming g is positive. g**(-565/39) Simplify (o*o**24)**(7/9)/((o**(-29)/o)/(o*o**39)) assuming o is positive. o**(805/9) Simplify ((d**(2/9)*d**(-3))/(d*d**(-3)*d**(-6)))**(-50) assuming d is positive. d**(-2350/9) Simplify (w/(((w/w**12)/w)/w))**(-2/15)/(w**(-8/13)*w*w/(w**(-24)*w*w*w*w)) assuming w is positive. w**(-4534/195) Simplify f**(-2/59)/(f*f*f**(-4/5))*((f**22/f)/f)/f**(-23) assuming f is positive. f**(12321/295) Simplify n**(-4)/(n/(n*n/(n*n**(-2/5)*n)))*(n/(n*n**(-2/53)/n)*n)/n*n*n/n**(-12)*n assuming n is positive. n**(3031/265) Simplify ((z**(6/11))**(-17))**(4/33) assuming z is positive. z**(-136/121) Simplify (t**(-11/5))**(-32)*(t*t/t**(-2))/t**(-1) assuming t is positive. t**(377/5) Simplify o*o**2*o/(o**(-19)*o*o)*o/o**(-14)*o**20 assuming o is positive. o**56 Simplify ((x*x**(-2/5))/(x*x**14))/((x*x**(2/9))/x*x**4) assuming x is positive. x**(-838/45) Simplify (((j/(j*j/j**(-3/7)))/j)/j)**(-19)/(j**(-2/5)/(j*(j*j/(j*j**12/j))/j)) assuming j is positive. j**(1944/35) Simplify (g*g/(g*g/(g*g**13)*g))/(g/((g**(2/29)/g)/g))*(g**(-11/5))**(-1/51) assuming g is positive. g**(74779/7395) Simplify (d**13*d*d)/d*d*d/((d*d**(-2/7)*d*d)/d)*(d*d**(-2/5))/(d**(1/5)*d) assuming d is positive. d**(479/35) Simplify (k*k/k**5*k**(-5)*k*k*k)**(-35) assuming k is positive. k**175 Simplify (w*w**(-2/3)*w)**(-6/17)/(w/w**17*w**(1/30)) assuming w is positive. w**(7903/510) Simplify (a**(-1/21))**(-4/35)/(a**(-3/10)/(a*a/a**(-17/5)*a)) assuming a is positive. a**(9857/1470) Simplify (f*((f/(f/((f/(f*f**4))/f))*f)/f)/f)**16/(f**(7/5)/f*f**5) assuming f is positive. f**(-427/5) Simplify (k**(-4))**27*(k**(2/7))**35 assuming k is positive. k**(-98) Simplify f/f**9*(((((f*f/(f*(f*f/((f/f**25)/f*f))/f))/f)/f)/f*f)/f)/f*(f**(-5)*f)**14 assuming f is positive. f**(-92) Simplify ((c*c/c**2)/c**15)/(c**(-1/2)*c**11) assuming c is positive. c**(-51/2) Simplify ((a*a/a**(2/9))/a**1*(a/(a*a/(a/a**(-1/2)))*a)**22)**(-14) assuming a is positive. a**(-4256/9) Simplify h**(10/7)*h*h/(h/(h**7*h))*h**(8/5)/(h/h**(2/7)) assuming h is positive. h**(396/35) Simplify (c**(7/4)/((c*c*c**(-2/15))/c*c))/(c**33*c/((c/(c/c**(-19)*c))/c)) assuming c is positive. c**(-3307/60) Simplify (j*j/(j*j**(-1/14)))**28/((j**(-18)*j)/(j*j*j**(-3/10)*j)) assuming j is positive. j**(497/10) Simplify (x*x**4)**28*(x/x**(-2/17))/(x**(-1/5)/x) assuming x is positive. x**(12097/85) Simplify (m/m**(2/23)*m**(-1))/(m**(-8/5)*m*m*m**14) assuming m is positive. m**(-1666/115) Simplify ((c/(c**1*c))/c)**6*(c*c**(-1/8))/(c/c**10) assuming c is positive. c**(-17/8) Simplify (p/(p**3*p))**(-2/19)*(p**(2/13))**(-6/7) assuming p is positive. p**(318/1729) Simplify ((q/(q/q**3))/q)**(3/29)/((q*q**(-8))/(q/(q*q**5/q*q))) assuming q is positive. q**(64/29) Simplify j*((j**5/j)/j)/j*j*j*((j/(j/(j**(1/14)/j)))/j*j*j)/j*j*j**(2/7)*j**6*j assuming j is positive. j**(173/14) Simplify ((w/(w/w**(2/3)))**(17/4)*w**(-5)*w**(4/7)/w)**(2/3) assuming w is positive. w**(-109/63) Simplify (c**(-2/23)*c**6/c)/(((c*c/(c/(c*c**(2/11)/c)))/c*c*c)/(c/(c/(c**9/c)*c*c)*c*c)) assuming c is positive. c**(2715/253) Simplify ((u*u**(-4/3))/u)**(-16)*(u**0*u)**(2/29) assuming u is positive. u**(1862/87) Simplify (m/(m/(m/(m*m*m**(-6/11))*m*m)))/m*m**(-1)*m*m**(15/7)/(m/(m*m*m*m**4)) assuming m is positive. m**(669/77) Simplify (l*(l*l**10)/l*l*l)**(-37)*(l**11)**(-46) assuming l is positive. l**(-987) Simplify (x*x**(-5)*x*x/(x/(x**(1/19)*x)))/(((x/x**(-13))/x)/(x/x**20)) assuming x is positive. x**(-645/19) Simplify (m**(-2)/(m*m**(-17)*m))/((m*m*m*m/(m**(-8)*m*m)*m*m*m)/m**(3/13)) assuming m is positive. m**(3/13) Simplify ((h/h**13)/h**7)/((h/h**(-4))/(h/(h*h/(h*h/(h*h*h**(1/4)*h*h*h))*h))) assuming h is positive. h**(-117/4) Simplify (((t/(t/t**(-1/4)))**(8/15))**(-5/4))**41 assuming t is positive. t**(41/6) Simplify (n**2*n**16)/(n/((n*n**5)/n))**22 assuming n is positive. n**106 Simplify (v**1)**(-3/10)*(v*v**9)/((v*v**(1/14))/v) assuming v is positive. v**(337/35) Simplify x**(4/5)*x**(1/5)*x**(-2/21)*x**(-10) assuming x is positive. x**(-191/21) Simplify (h**4/h)**40*(h*h**(-3)*h)/h**(3/7) assuming h is positive. h**(830/7) Simplify ((h*h**(-1/3))/(h**2*h))/(h**(-8)*h*h/(h/h**5*h)*h*h) assuming h is positive. h**(-4/3) Simplify ((m*m**(-14))/m)**(4/11)*(m*m**(-2)*m)**(-32) assuming m is positive. m**(-56/11) Simplify ((r**4*r)/r**(-1)*(r/r**(1/9))/(r**7/r))**(-22) assuming r is positive. r**(-176/9) Simplify g**(-13)/g**(-2/13)*g**(-27)/g**(5/4) assuming g is positive. g**(-2137/52) Simplify b**(-13)/b*b**(-1/2)/b*b*b**(1/2)*b**(-3) assuming b is positive. b**(-17) Simplify y**19*y*y/(y*(y/(y*(y*y**(1/2))/y))/y)*(y/y**(-1/2))/(y/y**(1/2)) assuming y is positive. y**(45/2) Simplify ((y/y**8)/y**(-10)*y**(-2/9)/((y/(y**10/y))/y))**(-8) assuming y is positive. y**(-848/9) Simplify ((f*f*f/(f/(f*(f/((f*f**(2/5)*f*f*f)/f*f))/f)))**(-22))**4 assuming f is positive. f**(616/5) Simplify (g*(g/(g/(g*g*g*g*g**(-17/3))))/g)/g**(3/4)*(g*g**(12/11)*g*g)/((g/g**(9/5))/g*g) assuming g is positive. g**(1633/660) Simplify p**(-12)/(p/(p/(p*p/((p*p*(p*p**(-2/11))/p*p)/p))*p)*p)*p**8*(p/((p**12/p*p)/p))/p assuming p is positive. p**(-167/11) Simplify ((i/(i**3*i)*i*i**(-2/17))/(i*i*i/((i/i**(-1/3))/i)*i*i)**12)**(-2/69) assuming i is positive. i**(1976/1173) Simplify r**30/(r**(-1/4)/r)*r**(-23)*r/(r**(-7/5)*r) assuming r is positive. r**(193/20) Simplify ((j/j**(-2))**(-2/11)/(j**(-7)*j**(-2/3)*j))**(-32) assuming j is positive. j**(-6464/33) Simplify ((s**(2/3)/(s/(s**(-5)/s)*s))/(s*s**(3/7)*s*s*s/s**(1/6)))**(7/6) assuming s is positive. s**(-487/36) Simplify (((h**0*h)/h)**(1/25)/((h**(-1/9)*h)/(h/h**(2/21))))**43 assuming h is positive. h**(43/63) Simplify ((a*a*a*a**(-32)*a*a)/a**(-5/7))/(a**(-5)/a)**(-34) assuming a is positive. a**(-1612/7) Simplify (z**(-28)/z**(-24))/(z**(-9))**(-3/26) assuming z is positive. z**(-131/26) Simplify (((y*(y/(y/((y*y/(y*y*y/(y*y**(1/5)))*y)/y*y)*y))/y)/y**(-5))/(y**(1/4)/((y**(-1/6)*y)/y)))**(-3/14) assuming y is positive. y**(-41/40) Simplify ((c/c**0)**(2/17)*(c**(-4/5)*c*c*c)/c*c**(2/19)*c)**(-47) assuming c is positive. c**(-
{ "pile_set_name": "DM Mathematics" }
7. -51254 What is -4466643 (base 7) in base 5? -120221423 Convert -34032540 (base 7) to base 13. -7c35cc Convert -21241067 (base 9) to base 14. -150899d Convert 15855956 (base 10) to base 5. 13024342311 What is 670ca9 (base 13) in base 7? 26440055 What is 1001011010100110100110 (base 2) in base 8? 11324646 Convert 201532 (base 6) to base 16. 3e60 What is -1111212022212 (base 3) in base 12? -329572 2101323212 (base 4) to base 16 91ee6 -1342920 (base 11) to base 4 -20311223323 Convert 42343 (base 8) to base 3. 220012011 Convert -1788988 (base 10) to base 8. -6646074 Convert -13980 (base 15) to base 6. -1203103 44689 (base 10) to base 5 2412224 What is -774533 (base 15) in base 3? -101200210220110 What is 25932 (base 11) in base 8? 110305 What is 223202212301 (base 4) in base 2? 101011100010100110110001 What is dca81 (base 14) in base 4? 2002132021 What is -242330023 (base 5) in base 9? -2121584 12222021122 (base 3) to base 2 11100101101000111 Convert 2209031 (base 12) to base 14. c0b5c1 566232 (base 7) to base 10 100620 What is -411221 (base 8) in base 2? -100001001010010001 Convert -30030103102 (base 4) to base 15. -431ee4 What is 6420560 (base 7) in base 13? 2132a5 What is 678422 (base 9) in base 6? 12413245 Convert -3331206 (base 7) to base 10. -411018 Convert -1020200221 (base 3) to base 4. -11333320 What is -10a04 (base 11) in base 10? -15855 What is 324a8 (base 14) in base 9? 204806 What is -644741 (base 9) in base 13? -105a6c What is -51444 (base 6) in base 7? -26011 155498a (base 12) to base 9 8147257 -365125 (base 10) to base 14 -970c5 -96a57 (base 13) to base 12 -1114a1 Convert 34223042 (base 5) to base 4. 1022122010 Convert -755c2 (base 16) to base 2. -1110101010111000010 16854685 (base 9) to base 11 4872406 3e1f1 (base 16) to base 3 110221001001 Convert 147603 (base 11) to base 16. 3811d Convert -972c4 (base 15) to base 6. -14141404 1408 (base 12) to base 3 10011122 -6335253 (base 7) to base 6 -24223213 160925 (base 10) to base 12 79165 65314003 (base 7) to base 2 10101010011001101010100 Convert -1902072 (base 12) to base 8. -23744726 Convert 26513230 (base 7) to base 11. 14176a5 Convert 87c7 (base 13) to base 2. 100100111101010 What is 285155 (base 14) in base 7? 14605535 67910a1 (base 11) to base 9 24331827 Convert 3427214 (base 8) to base 6. 31530512 11423121 (base 5) to base 10 107911 Convert -466216 (base 8) to base 9. -261823 -17cb0 (base 15) to base 9 -126703 11b279a (base 12) to base 14 663942 Convert -22102222011021 (base 3) to base 5. -2122041420 Convert -364139 (base 14) to base 6. -103432503 Convert 13306541 (base 10) to base 14. 1aa5473 Convert b162d (base 16) to base 3. 1100220200010 Convert -100101001100010011000 (base 2) to base 14. -23a1cc Convert 926516 (base 10) to base 14. 1a191a Convert 203433131 (base 5) to base 11. 526328 What is 15112303 (base 6) in base 5? 113212311 Convert 2802612 (base 9) to base 2. 101110111010011001101 Convert -175104 (base 8) to base 16. -fa44 -5619111 (base 11) to base 14 -1445d72 Convert 1806516 (base 9) to base 2. 11110110001111110011 Convert 231020310 (base 5) to base 10. 1032580 -116800 (base 12) to base 5 -32443323 -66744a3 (base 11) to base 16 -b29710 What is 224222444 (base 5) in base 13? 29399a Convert 100020011210 (base 3) to base 7. 1354410 Convert -13503254 (base 6) to base 8. -1601422 1122132 (base 5) to base 12 b8b0 What is 202010002222 (base 3) in base 13? 10b29c Convert 133214 (base 8) to base 6. 1000204 Convert -145561400 (base 7) to base 13. -20331a7 1111000010111010 (base 2) to base 3 10010112110 Convert 125143 (base 8) to base 13. 16b14 24134 (base 9) to base 11 11152 -1011110010111010 (base 2) to base 11 -33332 What is -120021220210101 (base 3) in base 12? -287b491 What is b7749 (base 12) in base 3? 110020221110 -14241 (base 5) to base 12 -838 1220001210 (base 3) to base 9 56053 Convert 2041 (base 11) to base 12. 1697 Convert 10012012001 (base 3) to base 5. 4002310 What is 4114753 (base 8) in base 3? 2001021102112 Convert -1540143 (base 7) to base 4. -303212220 What is -422235 (base 10) in base 13? -11a258 What is 101001110111100010101 (base 2) in base 12? 561b31 -12c77 (base 14) to base 6 -554345 What is 11201211121 (base 3) in base 12? 45b21 What is -10110111010100011011 (base 2) in base 5? -143012000 -150760 (base 16) to base 10 -1378144 5b74b (base 14) to base 9 370768 What is -a51641 (base 12) in base 6? -131340121 11030258 (base 9) to base 7 63224630 What is 3505 (base 13) in base 12? 4381 Convert -3043350 (base 9) to base 8. -6142002 -81346a (base 11) to base 10 -1307602 -19bd52 (base 16) to base 8 -6336522 -20670210 (base 8) to base 11 -2549668 -31a549 (base 15) to base 13 -649b48 What is 10203232 (base 5) in base 14? 22ca5 Convert 1201220012022 (base 3) to base 9. 1656168 -19a636c (base 13) to base 8 -40232573 What is 252020 (base 8) in base 5? 10241211 Convert -1243e (base 16) to base 10. -74814 -1000011001101011011101 (base 2) to base 9 -4126026 4041100 (base 5) to base 10 65150 Convert -11112010010 (base 3) to base 14. -2462a What is -96a0c (base 16) in base 2? -10010110101000001100 -339b0 (base 16) to base 4 -303212300 134035220 (base 7) to base 3 121101202210212 -241321303 (base 5) to base 8 -4213713 Convert -37198 (base 13) to base 5. -11220411 Convert -1a5000 (base 14) to base 2. -11100100011100011000 -151135 (base 6) to base 9 -21835 Convert -127520 (base 12) to base 7. -2401542 Convert 12132303431 (base 5) to base 11. 8103388 Convert -101011101010101101010 (base 2) to base 10. -1430890 Convert 1210212202 (base 3) to base 5. 2120013 What is -19bb2 (base 12) in base 8? -112166 1317073 (base 9) to base 2 10101111110110111110 -a633cb (base 15) to base 11 -4511848 -d5a217 (base 14) to base 16 -6e0a7d What is -41b814 (base 14) in base 13? -5ca1b3 What is -83531 (base 10) in base 8? -243113 What is 1504303 (base 8) in base 14? b20b9 What is 34c5aa (base 13) in base 5? 310133342 20001220122012 (base 3) to base 12 10b7095 1001100001001110010010 (base 2) to base 4 21201032102 Convert 4a809 (base 16) to base 4. 1022200021 Convert 11001100001010011 (base 2) to base 5. 11321111 Convert 47f0 (base 16) to base 5. 1042131 What is -2702475 (base 8) in base 2? -10111000010100111101 Convert -3941380 (base 10) to base 6. -220251044 1210513 (base 7) to base 15 30914 Convert -1121674 (base 12) to base 5. -1314411333 -5984132 (base 10) to base 11 -3417a70 Convert 1001110010011100010 (base 2) to base 16. 4e4e2 666e8 (base 15) to base 6 10551132 1210000322 (base 4) to base 15 815a8 What is 64a189 (base 13) in base 6? 122401342 What is a6635 (base 14) in base 9? 672206 247355 (base 10) to base 9 416268 Convert -32221101000 (base 4) to base 13. -a4552a What is -10350424 (base 9) in base 16? -4c30f3 -127237 (base 9) to base 2 -10010111010011110 -27266 (base 10) to base 7 -142331 -1aa054 (base 16) to base 7 -20555256 Convert -22121002001 (base 3) to base 5. -20403213 Convert -30120412 (base 5) to base 6. -5041453 Convert -10010011101100100 (base 2) to base 4. -102131210 236216 (base 9) to base 11 97a33 What is 201021102102 (base 3) in base 7? 3140042 What is 3141331023 (base 5) in base 13? 1499428 What is -2e45a (base 15) in base 3? -21121001111 Convert -110001001011010011110011 (base 2) to base 5. -11300011004 -14413033 (base 5) to base 10 -154143 What is -11100110110011100001 (base 2) in base 4? -3212303201 Convert -1767627 (base 8) to base 2. -1111110111110010111 -fa7a0 (base 16) to base 13 -29bc95 What is 2d78b9 (base 16) in base 3? 12121101211022 Convert 1001000111100101 (base 2) to base 13. 14000 Convert 20065514 (base 8) to base 16. 406b4c -1211121110 (base 4) to base 11 -264040 Convert 41703 (base 10) to base 7. 232404 -1d460 (base 14) to base 2 -10010010011001100 27452710 (base 9) to base 4 303231311010 Convert 1107a1 (base 13) to base 10. 401168 What is 852989 (base 10) in base 12? 351765 200220 (base 12) to base 11 310156 Convert -2375314 (base 8) to base 9. -1206137 What is -4100300 (base 5) in base 16? -100a4 What is -35114201 (base 6) in base 15? -165db7 -1210013 (base 7) to base 15 -307ee -a312 (base 13) to base 9 -33761 Convert -9cbe (base 15) to base 8. -100746 Convert -413212502 (base 6) to base 8. -33230166 -74797 (base 10) to base 8 -222055 What is 1455
{ "pile_set_name": "DM Mathematics" }
me number? True Is 755309 a composite number? False Is 34927 a composite number? True Is 99859 composite? False Is 24607 composite? True Is 61169 a prime number? True Is 426791 a composite number? True Is 364069 a composite number? False Is 22961 a prime number? True Is 4583 prime? True Is 4071017 a prime number? True Is 3296983 a composite number? False Is 5669 a prime number? True Is 1219497 prime? False Is 115711 prime? False Is 274145 a prime number? False Is 1397 a prime number? False Is 9753 a prime number? False Is 4062013 a prime number? True Is 18899 a prime number? True Is 19531 a composite number? False Is 69539 a prime number? True Is 9143 composite? True Is 12223 composite? True Is 381931 composite? True Is 403817 a composite number? False Is 12889 prime? True Is 16199 a composite number? True Is 1004935 prime? False Is 19619 a composite number? True Is 6629 prime? False Is 136763 a prime number? False Is 57899 a prime number? True Is 4987 a composite number? False Is 6037097 a composite number? True Is 688957 prime? True Is 130297 a composite number? True Is 135706 prime? False Is 39971 composite? False Is 658349 a prime number? True Is 656794 prime? False Is 44039 prime? False Is 575285 a prime number? False Is 2362 composite? True Is 115243 prime? False Is 6103 composite? True Is 248749 prime? True Is 1750479 prime? False Is 2413 a composite number? True Is 181499 a prime number? True Is 6227 a prime number? False Is 550427 a composite number? False Is 6469 prime? True Is 115827 prime? False Is 4729 a prime number? True Is 254593 a prime number? True Is 20803 a composite number? True Is 24997 prime? False Is 1705297 a composite number? True Is 1657 a prime number? True Is 181865 composite? True Is 95345 prime? False Is 13751 prime? True Is 470971 composite? True Is 3385699 prime? True Is 12899 composite? False Is 1172749 composite? False Is 3263471 composite? False Is 158611 a composite number? False Is 109937 prime? True Is 653 a prime number? True Is 51943 a prime number? False Is 16538 prime? False Is 36463 composite? True Is 30389 a composite number? False Is 117239 composite? False Is 390797 a prime number? False Is 558907 a prime number? False Is 2836781 a composite number? False Is 621697 a composite number? False Is 380659 prime? False Is 233069 a prime number? True Is 982 composite? True Is 4399 composite? True Is 4531 a composite number? True Is 22837 prime? False Is 255005 a composite number? True Is 40081 composite? True Is 20323 a composite number? False Is 211495 composite? True Is 465701 a prime number? True Is 210523 a prime number? True Is 476803 composite? False Is 6008381 a prime number? True Is 8795 a prime number? False Is 22511 a composite number? False Is 8791 a prime number? False Is 1388659 a prime number? True Is 12531 prime? False Is 2518 prime? False Is 8819 composite? False Is 359809 a composite number? True Is 9383 prime? False Is 3943 prime? True Is 59593 a prime number? False Is 9007 a prime number? True Is 36485 a prime number? False Is 75037 composite? False Is 2603 prime? False Is 18385 a prime number? False Is 281867 composite? False Is 6046 composite? True Is 2099 a prime number? True Is 49253 composite? False Is 2075287 composite? True Is 33257 prime? False Is 54737 prime? False Is 8285 composite? True Is 12521 a prime number? False Is 222773 composite? False Is 37483 a composite number? False Is 14471 composite? True Is 8633 a prime number? False Is 1975811 a composite number? False Is 28349 a prime number? True Is 479 composite? False Is 2437 composite? False Is 2203 a prime number? True Is 13139 prime? False Is 635 a prime number? False Is 4535 a composite number? True Is 5071 composite? True Is 397651 a prime number? False Is 1213 composite? False Is 314473 composite? True Is 5399 composite? False Is 75127 composite? True Is 145913 a composite number? True Is 37517 a prime number? True Is 77999 prime? True Is 2951 prime? False Is 18493 prime? True Is 2819 a prime number? True Is 1181 a prime number? True Is 23357 a composite number? False Is 6245 composite? True Is 1157 a prime number? False Is 175391 prime? True Is 24319 a prime number? False Is 1041983 a prime number? True Is 151661 a composite number? True Is 4377833 composite? False Is 16271 prime? False Is 26431 prime? True Is 72067 composite? True Is 6158 composite? True Is 208235 a composite number? True Is 1034767 a composite number? False Is 2568323 a prime number? True Is 56891 prime? True Is 690179 composite? True Is 786241 prime? True Is 4673 a composite number? False Is 24499 a prime number? True Is 12281 a prime number? True Is 154519 prime? False Is 505757 a composite number? True Is 165173 a prime number? True Is 12187 prime? False Is 28789 a composite number? False Is 43081 a composite number? True Is 31567 prime? True Is 182433 composite? True Is 818107 composite? True Is 5953 a prime number? True Is 185051 composite? False Is 528709 a composite number? False Is 12898 a composite number? True Is 229247 composite? False Is 10345 a prime number? False Is 28961 a prime number? True Is 2787689 a prime number? True Is 16183 prime? True Is 26905 a prime number? False Is 1328757 a prime number? False Is 1652347 composite? False Is 21269 a prime number? True Is 11146 composite? True Is 286393 prime? True Is 11549 prime? True Is 8513 a prime number? True Is 903179 a composite number? False Is 147629 a prime number? True Is 284423 composite? False Is 1187 composite? False Is 205043 composite? False Is 748289 composite? True Is 11147 prime? False Is 12531 composite? True Is 201821 composite? False Is 551581 composite? False Is 1178351 composite? True Is 1078643 a composite number? False Is 91079 composite? False Is 589681 composite? False Is 40387 a prime number? True Is 8803 a prime number? True Is 203793 prime? False Is 127369 a composite number? True Is 578083 a composite number? True Is 5359 composite? True Is 180517 composite? True Is 928437 a prime number? False Is 96891 a prime number? False Is 21559 prime? True Is 12646 prime? False Is 59333 a prime number? True Is 2073 a composite number? True Is 25841 a prime number? True Is 16729 composite? False Is 136447 a composite number? False Is 8791 prime? False Is 1193759 prime? False Is 6109 a prime number? False Is 4183 prime? False Is 9427 composite? True Is 120577 prime? True Is 79861 a prime number? True Is 69841 composite? True Is 96001 prime? True Is 6217 a prime number? True Is 521 prime? True Is 311153 prime? True Is 27673 prime? True Is 112699 a prime number? False Is 31793 a composite number? False Is 789 prime? False Is 421066 prime? False Is 103837 a composite number? False Is 551909 prime? True Is 298993 composite? False Is 88991 composite? True Is 691 prime? True Is 77587 a composite number? False Is 11293 prime? False Is 7830913 composite? False Is 55661 a composite number? False Is 219377 prime? True Is 9199 composite? False Is 91757 composite? False Is 736607 a composite number? False Is 21431 prime? False Is 1395283 composite? False Is 41773 composite? True Is 190687 prime? False Is 426301 prime? True Is 53027 a composite number? True Is 12451 prime? True Is 102397 a prime number? True Is 182171 a composite number? True Is 950578 a composite number? True Is 9791 composite? False Is 15049 a prime number? False Is 15671 a composite number? False Is 282343 prime? False Is 5182 a prime number? False Is 4821 prime? False Is 14727 prime? False Is 165639 prime? False Is 5039459 a composite number? False Is 221 composite? True Is 57887 a composite number? True Is 38113 a prime number? True Is 862 a composite number? True Is 180161 composite? False Is 4171 composite? True Is 709537 a composite number? False Is 790543 prime? False Is 2856227 prime? False Is 68945 composite? True Is 2017 composite? False Is 181711 composite? False Is 444517 a composite number? False Is 244003 a prime number? True Is 441157 composite? False Is 1135 a prime number? False Is 230765 a prime number? False Is 30029 a composite number? False Is 477149 a prime number? True Is 1234957 composite? True Is 17693 prime? False Is 3967 prime? True Is 9977 prime? False Is 421909 a prime number? Fa
{ "pile_set_name": "DM Mathematics" }
- 17 = 2*x, 2*x - 80 = -4*d. What is the units digit of d? 9 Let b = 221 - 124. What is the tens digit of b? 9 Let r(s) be the third derivative of -s**6/120 - 11*s**5/60 + 11*s**4/24 - s**3/3 - 4*s**2. Let i = 13 - 25. What is the units digit of r(i)? 0 Let k = -7 - -10. Suppose k*w - 18 = 5*w. What is the units digit of (-4)/(-6)*w/(-3)? 2 What is the tens digit of 233 + -20 + -5 + -1 + 3? 1 Let t(l) = l**3 + 5*l**2 + 5*l + 1. Let c be t(-4). Let s(a) = -a**3 - a**2 + 2*a - 4. What is the units digit of s(c)? 8 Suppose -7*i + 3*i + 16 = 0. Suppose 3*j + 4 = -i*h + 5*h, 4*h + j - 29 = 0. Suppose h = -4*d + 27. What is the units digit of d? 5 Let r(c) = 4*c + 1. Let g(y) = 7*y + 2. Let q(v) = 6*g(v) - 11*r(v). Let j = -11 + 8. What is the units digit of q(j)? 7 Let z be (-1 - (-10)/4)*-4. What is the units digit of ((-1)/2 + -1)*z? 9 Suppose 2*x = 6, 4*x - 356 = -6*m + 2*m. What is the tens digit of m? 8 What is the hundreds digit of (-1)/(-5) + 1419/5? 2 Let c = 12 + -6. Suppose c*s + w - 39 = 4*s, 2*s - 4*w - 24 = 0. What is the tens digit of s? 1 Suppose 0*u - 3*u + 3*j = -12, 5*u + j - 8 = 0. Suppose 0 = -i + u*i - 37. What is the tens digit of i? 3 Suppose -5*z = 12*z - 2159. What is the tens digit of z? 2 Suppose -4*w - g + 13 = -w, w + 2*g = 6. Suppose -10 = w*o - 246. Suppose p + 45 = 4*i, -5*i + 6*p = 2*p - o. What is the tens digit of i? 1 Let t = 8 - -30. What is the tens digit of t? 3 Let p(t) = -2*t - 5. Let g be p(-4). Suppose 53 = 4*b - g*s, 0*s = -4*b - 3*s + 59. What is the units digit of b? 4 Let y(l) = 2*l**3 - l**2 + 4. What is the tens digit of y(3)? 4 Suppose 3*o - 20 = -2*o. Let s be (-60)/(-9)*(-6)/o. Let n = 1 - s. What is the tens digit of n? 1 Suppose -46 = -5*c + 154. What is the units digit of c? 0 Let a = -71 - -87. What is the tens digit of a? 1 Let v = -116 - -352. Suppose 5*h - h = v. What is the units digit of h? 9 Let p(y) = 1 - 1 - y**3 + 5*y - 8 - 6*y**2. What is the units digit of p(-7)? 6 Suppose 9*y - 13*y + 340 = 0. What is the tens digit of y? 8 Let s(y) = -y**3 + 5*y**2 + 4*y - 5. What is the tens digit of s(5)? 1 Let u be (-20)/15*(-6)/(-4). Let z = u + 5. Suppose z - 35 = -2*n. What is the units digit of n? 6 Suppose 0*s + 52 = -s. Let v = -30 - s. What is the units digit of v? 2 Suppose 26 = -3*r + 152. Let g = r + -24. What is the units digit of g? 8 Let r(z) = -3 - z**3 + 5*z - 2*z - 4*z. What is the tens digit of r(-3)? 2 Let f = 32 + -8. What is the tens digit of f? 2 Let g = 35 + -19. What is the tens digit of g? 1 Let s(v) = -3*v - 1. Let t be s(9). Let l = -51 - t. Let j = l + 35. What is the units digit of j? 2 Let q be (-2 - (-99)/3) + -1. Suppose q = -3*o - 0. Let c(h) = -h**3 - 10*h**2 - 2*h - 15. What is the units digit of c(o)? 5 Let h(b) = -b**3 + 3*b**2 - 3*b + 2. Let f be h(2). Suppose f = 2*u - 4*k, -3*u + 2*k + 3*k + 2 = 0. What is the units digit of (u/(-3))/((-6)/18)? 4 Let m(u) = -3*u - 2. Let v be m(-2). Suppose -v*n = -i - 7*n + 22, 5*i = 3*n + 38. What is the units digit of i? 0 Suppose -2*s = 3*k - 6, -12 = -4*s - 2*k - k. What is the units digit of s? 3 Let i be (-60)/(-2)*6/15. Let u = i + -2. What is the tens digit of u? 1 Let l = 4 - -1. Suppose -4*c + 5*h - 12 = 0, -3*h = l*c - 7 - 15. What is the units digit of c? 2 Let q = -170 + 282. What is the hundreds digit of q? 1 Suppose 3*l = -4*c + 294, -3*l - l = -3*c - 417. What is the units digit of l? 2 Suppose l = -l - 28. Let t = l - -38. What is the tens digit of t? 2 Suppose -35 = -4*f - i, 3*f + 4*i + 2 - 38 = 0. What is the units digit of f? 8 Suppose 0 = -5*r + 6*r - 5. Suppose r*q - 39 = 2*w + 30, 5*w = q. Suppose -2*u + q = 5*b, 4*b + 6 = 6*b - 3*u. What is the units digit of b? 3 Let g(n) = n. Let m be g(-3). Let t = 4 + m. Let h = 6 - t. What is the units digit of h? 5 Let c = -82 + 143. What is the tens digit of c? 6 Let b = 83 + -59. Suppose 8*x - 2*a - b = 4*x, -3*x + 28 = a. What is the units digit of x? 8 Let k = 83 + 27. What is the hundreds digit of k? 1 Let g = 34 - 49. Let f be 0 + (-2 - g/(-3)). Let q = f + 10. What is the units digit of q? 3 What is the tens digit of (12/18)/(-1)*-519? 4 Suppose -3*j + 3*n = -21, 4*n = -3*j - n + 5. Suppose -4*a = -4*p - 20, 3*a = j*p - 10 + 23. What is the units digit of a? 6 Let q(p) = 3*p**2 - 3. Let c = -22 + 19. What is the units digit of q(c)? 4 Let g(k) = -3*k**2 + 0 + 1 + 5 + 6*k - k**3. Let l be g(-4). What is the units digit of ((-3)/l)/(3/4)? 2 Suppose -21*a + 20*a + 3 = 0. Suppose 2*l - 15 = a. What is the units digit of l? 9 Let u(k) = -11*k + 1. Let r be u(1). What is the units digit of 176/5 - (-2)/r? 5 Suppose -3*s - 3*f + 114 = -0*s, 4*f = -16. Suppose s = 5*n - 108. What is the units digit of n? 0 Let y(s) = s + 4. Let i be y(-2). Suppose -i*g - 10 + 2 = 0. What is the units digit of (-1)/g - (-93)/12? 8 Suppose -91 = -2*y + 23. What is the units digit of y? 7 Suppose 5*y - 3*t = 9, -3*t + 5 = y - 4. What is the units digit of y? 3 Suppose -4 = -x - 0. Suppose -2*p = -3*q - 4, -q + 3 = p - x. Suppose 3 + 2 = -p*h + 5*u, -5*h + 4 = -2*u. What is the units digit of h? 2 Let q = 1 + -1. Let p(z) = q*z**2 + 0 + 2*z**2 - 1 - 5*z. What is the tens digit of p(4)? 1 Let j(v) = v**2 - 5*v - 2. Let c be j(5). What is the units digit of 16 + 2 + (-3 - c)? 7 Suppose 0 = -5*r + 111 + 184. What is the units digit of r? 9 Let i be (-5)/25 - (-29)/(-5). Let k be ((-4)/i)/(1/3). Suppose -4*d + 13 = 5*x, -k*d + x + 4*x = -29. What is the units digit of d? 7 Let o be (1 + -3)/(2/(-30)). Suppose -4*t - 3*v = -o, v + 4*v = -5*t + 40. What is the units digit of t? 6 Let i(w) = w + 1. Let p be i(4). Let j = 12 + p. What is the units digit of j? 7 Suppose 0*h = 3*h - 66. What is the tens digit of h? 2 What is the units digit of (-1)/2*-4 - -10? 2 Let f = -4 + 8. Suppose -f*a + 2*c = -48, 2 + 16 = a + c. What is the tens digit of a? 1 Let o(f) = -5*f + 20. Let p(z) = -z + 5. Let h(c) = -2*o(c) + 9*p(c). What is the units digit of h(-4)? 1 Suppose 5*r + 2*o = 15, 2*o + 4 = 5*r - 31. Suppose 0*f - f + 9 = r*a, f - 29 = -a. What is the tens digit of f? 3 Let m(t) = 3*t - 1. Let w be m(2). Suppose 0 = -w*h - 0*h + 90. What is the units digit of h? 8 Let c(d) = 2*d**2 - 6. Let v be c(6). Suppose 0*l + 3*l - v = 0. Suppose 0 = z + 4*p - 2, 5*z - 4*p = 2*z + l. What is the units digit of z? 6 Let n(w) be the first derivative of -5*w**2/2 + 3*w + 1. Let d be n(3). What is the tens digit of d/8 + 81/6? 1 Let i = 5 - -3. Let h = i - 3. Suppose h*k = -4 + 9. What is the units digit of k? 1 Let k be (-1)/2*-6*1. Suppose -k*g + q + 17 - 7 = 0, -13 = -4*g + q. Suppose g*x - 10 = 8. What is the units digit of x? 6 Suppose -5*o + r + 3435 = 0, 762 + 605 = 2*o + r. What is the tens digit of 8/6 - o/(-21)? 3 Let k(d) = -15*d - 1. Let p(j) = 15*j + 1. Let o(t) = 4*k(t) + 3*p(t). What is the units digit of o(-1)? 4 Let i(p) = 3*p**3 - p**2 - 5*p + 1. Let s(b) = -4*b**3 + b**2 + 6*b. Let f be (-3)/(-12)*2*10. Let h(z) = f*i(z) + 4*s(z). What is the units digit of h(0)? 5 Suppose -206*j - 101 = -207*j. What is the tens digit of j? 0 Let q(g) = g**3 + 5*g**2 + 4*g - 5. Let h be q(-4). Let n = h - -15. What is the units digit of n? 0 What is the units digit of 2167/44 + 3/4? 0 Let b = -116 + 164. What is the units digit of b? 8 Suppose 2*j + 461 = 3*z, 5*z - 3*j + j = 771. Suppose -b - 4*b = -z. What is the units digit of b? 1 Suppose -a + 0 = -2. Let p be -3 - (-19 - (-1 + a)). Let s = p - 9. What is the units digit of s? 8 What is the tens digit of (-1)/((-7)/(-90))*-7? 9 Let k(o) = o**3 - 8*o**2 - 9*o + 5. Suppose 4*v = 41 - 5. Let d be k(v). Let f = d - 1. What is the units digit of f? 4 Let c(j) = -j - j + 9 + 3*j. Let z be c(-7). What is the units digit of ((-12)/(-3) - z)/1? 2 Let a = -4 + 8. Suppose -60 = -a*n + n. What is the tens digit of n? 2 Suppose 0*t = 13*t - 2600. What is the units digit of t? 0 Suppose i = -i - 8. Let k = 7 + i. What is the units digit of 1/k + (-8)/(-3)? 3 Let q = 6 + -8. What is the tens digit of (26/(-3))/q*3? 1 Let g(q) = -q**3 - 5*q**2 - 7*q + 1. Let y be g(-6). Suppose 0 = 5*k - 4*l - y, k - 12 = -4*l - 1. What is the units digit of k? 5 Let l = 186 + -120. What is the tens digit of l? 6 What is the tens digit of 182/6 + (-12)/(-18)? 3 Let l(j) = j**3 +
{ "pile_set_name": "DM Mathematics" }
2 + 7*g - 4. Let i be y(6). Solve 5*n = -i*d + 4, 4*d = -q*n + 2*n - 10 for n. 2 Suppose y = 125 - 214. Let w be ((-4)/6)/(y/2403). Suppose 12 = 3*p, -4*o + 3*o - 7 = -3*p. Solve -n + 34 = o*r + 2*n, w = 3*r + n for r. 5 Suppose -4*x + 35 + 74 = -5*y, -3*y + 102 = 3*x. Solve 4*k + 3*h - x = -10, 5*k = -2*h + 28 for k. 6 Let n = 22 + -28. Let r be 320/30 - (-4)/n. Let p be 78/8 - 67/(-268). Solve 0 = -3*i - y - r, 5*i + 8 + p = -2*y for i. -2 Suppose 4*q = 2*y - 28, 4*y = -3*q + q + 36. Suppose -a + y = 3*c, 5*c + 0*c = -2*a + 18. Solve 3*t - 3*l = -6*l + 6, 0 = t + 3*l + c for t. 4 Let g = 99 - 204. Let p be (-5)/(g/(-2)) + 1536/252. Solve 4*n + 4*m = -p + 2, 0 = -m + 3 for n. -4 Let o be 2/(-5) - (-374)/85 - -1. Suppose -5*d + o = 5*k, -5*d + 0*d = k - 17. Suppose -d*r = -8*r + 32. Solve 3*f + 21 = 3*q, f = -3*q + 5 + r for q. 5 Suppose 0 = -4*m - 2*y - 38, -3*m - 50 = 5*y - 25. Let u be -7 - ((m - 1) + 4). Solve 5*n + 25 = 4*b, 2*b - 14 = -u*n + 4*n for n. -1 Let q be (-110)/(-90) - (-20)/(-90). Solve -3*o + q = -t, -5*t + 80 - 85 = 4*o for t. -1 Let h = 20 + -17. Let v = -27 - -29. Suppose 2*a + 2*a - 16 = -v*l, -15 = -5*a. Solve h*d = -0*m + 2*m + 5, 0 = -l*m - 2*d + 10 for m. 2 Let d(b) = -18*b**3 + 4*b**2 + 2*b - 12. Let w be d(2). Let k be w/119*7/(-2). Solve -r - 5*z = 0, 0*r - 5*z + 25 = -k*r for r. -5 Let c be (984/(-22))/(-4) + 14/(-77). Suppose c*z - 50 = z. Solve 4*h + 2*x = -2, 3*h + 40 = -2*h + z*x for h. -3 Suppose -3 = -2*u + 5*l, -u - l = -6*u - 4. Let i be (4 + -5 - u)/2. Solve 4*p - f = -4*f + 24, -5*f + 20 = i for p. 3 Let f be ((-6)/15*1)/((56/30)/(-14)). Solve 3*v + 3*z = 0, 0 = v + v + f*z for v. 0 Let m be ((-5796)/(-805))/(3/20). Solve c + 5*w = 17, -53*c - w + 13 = -m*c for c. 2 Suppose 2061 - 3181 = -189*j + 2660. Solve -2*t = -5*a + 25, 5 = a - j*t + 25*t for a. 5 Suppose 0 = 6*m + 5 - 23. Let a(y) = -3*y**3 - y**2 - 2*y + 2 - y**3 + y**m - 3. Let z be a(-1). Solve -5*l = z*i - 16, 6*l = 2*l + 20 for i. -3 Let p be 1 + 1203/57 + 8/(-76). Suppose -11*g = -p*g + 44. Solve 2*n = -3*n - r + 21, g*n - 4*r - 36 = 0 for n. 5 Let m be (7 - (3 + -1)) + 9 + -8. Solve -m = -b + s, -46*b + 47*b = 2*s + 7 for b. 5 Suppose 94 - 22 = -4*f + 40*f. Solve -3 = -f*l + 5*a + 16, -5*l = -5*a - 10 for l. -3 Let o(p) = -p - 1. Let x be o(-4). Suppose -k + 4 = 3. Suppose k = 2*m + w - 2, 3*m + 4*w = -x. Solve 0 = h - 0*c + 2*c + 9, 11 = -h - m*c for h. -5 Suppose -189 = -q - 187. Suppose 4*u - 8*v + q = -3*v, 0 = 3*u - 2*v - 2. Solve -d = u*f - 1, 3*f - 6 = -0*f for d. -3 Suppose 4*l = -12, h + 3*l - 25 = -0*l. Suppose -23*g + h = -12. Solve g*j + 16 = -3*s, 3*s = 2*s + 5*j + 6 for s. -4 Let k be (4/3)/((-40)/(-150)). Let h be (-42)/(-15) + k*5/125. Solve 2*g = 2*q, -q - h*q + 9 = 5*g for g. 1 Let k(t) = 92*t. Let u be k(-2). Let o = -184 - u. Solve o*y - 3*y - 3*q + 3 = 0, 2*q = 3*y + 22 for y. -4 Let j = 120 + -116. Let l(q) = q**3 - 4*q**2 - 2*q + 5. Let v be l(j). Let x be 0 - 2/v - (-2)/6. Solve s = c + x, s - 5*s = -5*c - 8 for c. -4 Let t = -78 - -75. Let g(m) = m**3 + 2*m**2 - 2*m + 6. Let p be g(t). Solve 5*h - 23 = 2*u - 9, p*h - 5*u = 16 for h. 2 Let p(d) = -2*d**2 - 16*d + 363. Let r be p(10). Solve 0 = r*a + 4*j + 28, 19*a - 3*j - 20 = 21*a for a. -4 Suppose 3*q + 415 + 560 = 0. Let i = 341 + q. Solve -3*l + 5*u = -6*l - 4, -4*l + 4*u = -i for l. 2 Let k be 9 - 5/(15/18). Let z be (-678)/(-113) + -5 + -1. Solve -3*t + i = 3*i + k, -5*t + 2*i - 21 = z for t. -3 Let n be ((31 + -10)*(-2)/(-9))/((-92)/(-552)). Solve 16 = 3*j + n, p + j + 3 = 0 for p. 1 Let y = -7202 - -7202. Solve -m + c - 4 = y, 5*m - 3*c + 24 = -4 for m. -8 Suppose 277*x = 275*x - 5*j + 80, 4*j = 16. Solve 2*c + 2*c = 4*h - 16, x = -5*h - 5*c for h. -1 Let l(i) = 246*i - 3441. Let g be l(14). Solve 2*k = 2*t + 4, 4 - 12 = -g*k + 5*t for k. 1 Let g = 8826 + -8820. Solve g = 5*p - 9*n + 7*n, 3*p = -n + 8 for p. 2 Let p be 6/(-3*10/(-15)). Suppose g = p*g + 8. Let s = g + 4. Solve 5*u - 2*v + 3*v + 13 = 0, s = 4*u + 3*v + 17 for u. -2 Let z = -42 - -44. Let x be ((-3)/(z - 3))/((-4)/(-44)). Suppose k = 38 - x. Solve 0*c - 5*l - 35 = -k*c, 10 = -2*c - 4*l for c. 3 Let h be (-10)/95 + (-531)/(-171) + 1. Let t(p) = p**3 - 10*p**2 + 5. Let m be t(10). Solve -3*i + 3 = -s, m = h*s - 7 for i. 2 Let t = -788 - -798. Suppose -4*g - 2 = -3*v, -v - 11*g + t = -10*g. Solve -2*p + v*p = 5*m + 21, 2*p = 5*m + 23 for p. -1 Suppose 0 = -5*n - s - 506 + 528, 10*s = 2*n + 12. Solve 6*p = 2*w + 8, 5*w = -n*p - p for p. 1 Suppose -154*k + 1246 = -65*k. Solve 3*a + o - k = 0, -20*a + 24*a - 16 = -4*o for a. 5 Let c(r) = -11*r**3 - r**2 + r + 2. Let u be c(-1). Suppose -d - 4*m = -22, -d + u + 6 = 3*m. Solve -d*h + 3 - 1 = 4*a, -4*a + 9 = -5*h for a. 1 Let f be -2 + (-260)/(-125) - (-16460)/500. Solve -37*v = 2*d - f*v + 14, 0 = -5*d + 2*v - 23 for d. -5 Let l(k) = k**3 - 21*k**2 + 5*k - 75. Let j be l(21). Solve -5*i - 22 = 3, 4*t = -2*i - j for t. -5 Let o(h) = -h + 1. Let r be o(-1). Let l = -10877 + 10881. Let k be (6/(-4))/(36/(-48)). Solve u - 3*a = -k*a - 2, 0 = r*a + l for u. -4 Suppose 73*u = -36*u - 66*u + 175. Solve -4*g = -x - 51 + 30, u = -x for g. 5 Suppose 0 = -2*u - 0*u + 40. Let s = 1481 - 1476. Solve 5*x - u = -s*k, -x - 2*x = -2*k - 7 for x. 3 Let a = 71 - 67. Suppose 51 + 21 = -a*s. Let x be ((-2)/(-3))/((-2)/s). Solve x = 2*g + g, 0 = -2*w - 3*g + 10 for w. 2 Let v = 272 - 266. Suppose -7*x + v*x + 7 = 4*m, -2*m + 2*x = -6. Solve -m*q - y = -2*y + 3, -5*q = -4*y for q. -4 Suppose 5*r + 4*b - 111 = 0, -4*b + 197 = 2*r + 155. Solve r*h = 3*p + 20*h - 27, -h = 4*p - 16 for p. 5 Let m = 7866 - 7866. Solve -2*g = 5*z - 20, -4*z + 15*g - 10*g - 17 = m for z. 2 Let t be 2*(-7)/(42/(-12)) - 2. Solve -d - 44 = -t*f - 36, 16 = -5*d - 2*f for d. -4 Suppose -5*w - 3*x = -24 + 5, 4*w - 3*x - 26 = 0. Solve 0 = -2*v + 4*p - 4, -w*v + 0*p - 17 = -3*p for v. -4 Let y(g) = 156*g - 5752. Let n be y(37). Solve -5*f = -5*l, 10*l = 14*l + n for f. -5 Let u = 433 + -393. Suppose 0 = -u*x + 51*x - 44. Solve -2*y = -x*y - g - 6, 0 = 3*y - g + 19 for y. -5 Let l be (27/15)/3 + (-216)/10. Let s be 9/l - (-7 + (-184)/(-28)). Solve 0 = -5*v - y - 3, s = -v + y + 2 - 5 for v. -1 Let a(v) = 2*v**2 + 242*v + 980. Let u be a(-4). Solve -n = 5*q - 9, -n + 2 = u*q - 46*q for q. 1 Suppose z + 19 = 4*g, 2*g - 3*z = -2*g + 17. Suppose 0 = -3*p - 5*f + 46, -3*f + 70 + 28 = g*p. Solve -m + p = 5*j, -m - 12 = 3*m for j. 5 Let i be (9 - 14)*(542/5)/(-2). Suppose -505 - i = -8*v. Let p = v + -89. Solve -p*u + 5*g = -3*u - 35, 5 = 3*u + 5*g for u. 5 Suppose -c - 4*b + 31 = 7, 20 = 4*b. Let p be (-1)/(-2) + 5/2. Suppose p*s + 1 - 31 = 0. Solve -a = 3*u + 8, s = a - c*u + 4 for a. -2 Let z(j) = -j**2 + 8*j + 163. Let n be z(-9). Suppose 3*w - 31 = -5*u, -4*u + 4 = -16. Solve 0 = -5*o + 4*p - 20, -3*o - 2*p = -w*o - n for o. 0 Suppose -f = 3*m + 6, -5*f + 1 = 2*m - 21. Suppose -9 = -f*l + 69. Let u(w) = 2*w - 23. Let k be u(l). Solve z - 3*s - k = 0, 2*z - s = 2*s + 3 for z. 0 Let s(n) = -335*n - 4347. Let b be s(-13). Solve 2 = g + 6, 4*g + b = 4*d for d. -2 Let t = 75 + -5. Suppose -t = 3*w - 8*w. Suppose -55*m + 505 - 221 = 16*m. Solve 0 = -4*f + 3*h + 2 - w, 5*f = -h + m for f. 0 Let s(n) = -1 - 14 + 10*n - 91. Let p be s(11). Solve -3*t - 2*i + 34 - 13 = 0, 2*i = 2*t - p for t. 5 Suppose -191*j + 187*j = -404. Solve 111 = 2*n - 2*y + j, -2*n + 4*y = -6 for n. 7 Suppose -m - 36 = -77 + 37. Solve -4 = 4*i - z + 1, 18 = -3*i - m*z for i. -2 Let z be -42 + -5 + 13 + -6. Suppose -2*k = 4*h - 100, 0*h + 226 = 5*k + 2*h. Let b = k + z. Solve 0 = b*c - 8, -10 = -2*l - 3*c - c for l. 1 Let c(g) = 7*g + 54. Let i be c(2). Suppose -i*p + 36*p + 160 = 0. Solve 4*s - 2*t = 6, 5*s = -p*t + 7 + 38 for s. 4 Suppose 0*t + 15 = 2*t + d, -t + d = 0. Let i(m) = 5 + 4*m - m + 2*m + t*m. Let a be i(3). Solve -5*z = 3*h - a, -5*z + 10*z - 20 = 0 for h. 5 Let q be 2/(-1 - (-8 - -9)) + 18/3. Solve 5*f = 4*i + 5, -5*i + 11 = q*f + 6 for i. 0 Let w be 105/40 - (-2 - (-52)/64*2). Solve y + 3 = -3*k, -k - 10 = -w*y - 9 for y. 0 Suppose -5*c - 1 = -i + 2, -3*c - 6 = -2*i. Solve 5*m = 2*u - 25, m = i*u + 2*u - 5 for m. -5 Let p(x) = -9*x - 5. Let t be p(0). Let d(v) = -v + 1. Let q be d(3). Let r be 1 + 1 + t/10*q. Solve -r*l + 3
{ "pile_set_name": "DM Mathematics" }
d*c + n and give d. -4 Rearrange -9*u**2 + 4*u + 19*u**2 - 7*u**2 + 3*u to the form n*u + o + r*u**2 and give n. 7 Rearrange (2*k + 3*k - 3*k)*(17 - 41 + 13) + (-4 + 2 + 3)*(-5*k - k + 4*k) to c + q*k and give q. -24 Rearrange -20*x**2 + 29*x**2 + 14*x**2 to the form p*x + t + s*x**2 and give s. 23 Express -36*j - 14*j + 10*j as z*j + o and give z. -40 Rearrange (-2*f + 2*f + 5*f**2)*(2 - 2 + 6) to o + k*f**2 + a*f and give k. 30 Rearrange (-3*l - 2*l + 0*l)*(-1 + 2 - 6) to c + s*l and give s. 25 Rearrange -29*b - 28*b + 19*b to h*b + l and give h. -38 Rearrange 14*s - 6*s + 2*s to the form m*s + l and give m. 10 Express j**3 - 7*j + 14*j + 2*j**3 - 2*j**3 in the form p*j**3 + x*j**2 + l + u*j and give u. 7 Express (0*j + 3*j + 0*j)*(-3*j + 7*j - 3*j)*(4 - 7 - 3) in the form a*j + u + t*j**2 and give t. -18 Rearrange -3*s**3 + 5*s**3 + 10 - 3*s + 0*s**3 + s to the form h*s**3 + m*s + q*s**2 + x and give m. -2 Express 2 - 2 - 2*k**2 + (-3 - 3 + 5)*(k**2 - 2*k**2 + 6*k**2) in the form c*k**2 + q + i*k and give c. -7 Express i - 2*i + 6*i in the form o + p*i and give o. 0 Rearrange (5 + a - a**2 - 2 + 0*a**2)*(-3*a + 2*a - 8*a**2 + 9*a**2) to the form b*a**3 + c*a**2 + n*a**4 + g + o*a and give o. -3 Express 2*o**4 + 4*o - 4*o + o**4 + 3*o**4 + 18*o**4 + (-5 + 0 + 3)*(-o**4 + 3*o**4 - 4*o**4) as d*o + p*o**2 + h*o**3 + r*o**4 + g and give d. 0 Express -12 - 35*u**2 + 72*u**2 + 2 + 11 in the form q*u + g*u**2 + m and give g. 37 Express 0*f**2 + f**4 - 2 + 2*f + 2*f**2 + 0*f in the form x*f**3 + o*f + r + v*f**2 + l*f**4 and give l. 1 Express (0 - 3 + 0)*(-v + 0 + 0)*(1 - 7 + 1) in the form b*v + o and give b. -15 Rearrange -7 + 8 - 1 + 18*m to b*m + v and give b. 18 Rearrange -19*y**2 - 9*y - 7*y**2 + 9*y to v + q*y + s*y**2 and give s. -26 Rearrange t**3 + 5*t**3 - t - 2 - t to j + y*t + k*t**2 + l*t**3 and give l. 6 Express 3*y + 3*y - 5*y + 1 + 2*y - 1 + (0 + 3 - 9)*(-2*y - 1 + 1) in the form r*y + k and give r. 15 Rearrange -41*o**3 - 3*o**2 + 40*o**3 - o**4 + 0*o**4 to the form z*o + h*o**3 + g*o**4 + t + a*o**2 and give z. 0 Rearrange 3*h**4 - 1 - 5*h**3 - h**4 + 2*h**2 + 2*h**3 + 0 + h to the form u*h**3 + z*h + r + d*h**4 + w*h**2 and give z. 1 Express -2*a**4 - 3*a + 7*a**3 + a**3 + 3*a**2 - 7*a**3 + 7*a as z*a + h*a**4 + j*a**2 + b*a**3 + r and give j. 3 Express -8 + 7*n + 7*n - 13*n as j + m*n and give j. -8 Rearrange -1 + 1 - w + (3 + 2 - 1)*(-2*w + 3*w - 2*w) to r + f*w and give f. -5 Express (-132 + 132 + 14*f)*(-2*f + 3*f**3 + 2*f) + 2*f**4 - f**4 + 0*f**4 in the form y*f**2 + q*f**4 + g*f**3 + m*f + u and give q. 43 Rearrange -2*i - 4*i - 12*i to t + p*i and give p. -18 Rearrange p**2 - 3*p**3 + 4 + 0*p**2 + 4*p - 4 to x*p**3 + i*p + r*p**2 + u and give u. 0 Express (-3 - p + 3)*(0 - 1 + 2)*(18 - 1 + 2) in the form y + c*p and give c. -19 Express -1 - 4*u**3 + 2*u**3 + 2*u + 0*u**2 - 3*u**2 as s + f*u**2 + l*u + c*u**3 and give l. 2 Rearrange -9*k + 0*k - 8*k - 3*k + 2*k + 2*k + (4*k - 4*k - k)*(-3 + 1 + 0) - k - 2*k + 5*k - k + k + k to f + a*k and give a. -11 Express 26*r**3 - 45*r**3 - 2*r**2 - 11*r**3 + (-2 + 7 - 3)*(-r**3 - 4*r**3 + 2*r**3) in the form d*r**2 + a*r**3 + t + s*r and give d. -2 Express -8*f**2 - 16 + 7*f**2 - 2*f**4 + 5 in the form t + g*f**4 + s*f**2 + i*f**3 + j*f and give g. -2 Rearrange 2*h**4 - 55*h**2 + 2*h**3 - 4*h**3 + 58*h**2 to g*h**2 + y*h**4 + p*h + v*h**3 + l and give p. 0 Rearrange -1 + 0 + g + 1 to the form z*g + m and give z. 1 Express -o**3 + 5*o**3 + 0*o**3 + (o - 3*o - 6*o)*(-o**2 + 3*o**2 - 4*o**2) in the form s*o + v + y*o**3 + q*o**2 and give y. 20 Rearrange -m + 6*m**2 + m + 16*m**2 to r + b*m**2 + j*m and give b. 22 Rearrange 2*s**3 - 1 + 1 + (-2 - 2 + 6)*(2*s**3 - 20*s**3 - 19*s**3) + (5*s**2 - 3*s**2 - s**2)*(-4 + s + 4) to z*s**2 + u*s + v*s**3 + c and give v. -71 Rearrange 9 - 2*i**3 - 22 - 2*i**2 + 17 to the form s*i**2 + k*i + z*i**3 + t and give t. 4 Rearrange (2*c**2 + 4*c - 4*c)*(-21 - 25 + 11) to u*c**2 + x*c + w and give u. -70 Rearrange 451 - 451 - 4*i**3 - i**2 to u + x*i + q*i**3 + f*i**2 and give q. -4 Express -185*l + l**2 - 5*l**3 + 185*l in the form o*l**3 + d + a*l + j*l**2 and give j. 1 Express (-3 + 0 + 7)*(2*k**4 - 7*k**4 - 2*k**4) in the form t*k**2 + z*k**4 + d*k**3 + g + b*k and give z. -28 Rearrange -50 + 95 - 3*d**2 + 7*d + 5*d**2 - 51 to q*d**2 + c + b*d and give q. 2 Express (-24*u + 10*u + 10*u - 4)*(-u**3 - 2*u**3 + u**3) as m*u**3 + g*u**2 + x*u + z*u**4 + w and give m. 8 Rearrange 3*p + 3*p - 4*p + (2 - 1 - 2)*(-4*p + 0*p + 8*p) - 3 - p + 3 to the form w + c*p and give c. -3 Rearrange ((-r + 2 - 2)*(-2*r + 3*r + 0*r) - 4*r**2 - r**2 + 3*r**2)*(16 - 16 - 14*r) to l*r**3 + v*r + q + f*r**2 and give q. 0 Rearrange 2*m**4 + 2*m - 4*m**4 - 4*m - 3 - 3*m**3 to s*m**2 + p*m**4 + t*m + n + y*m**3 and give t. -2 Express -2*u + 2*u - 5 + 32*u**2 - 33*u**2 as x*u**2 + s + k*u and give x. -1 Express (q + 3*q - 3*q)*(-14*q + 29*q + 8 - 16*q) as x*q + y*q**2 + j and give x. 8 Express (2*k**2 - 2 + 2)*(1 - 1 + k**2) + (-3*k**3 - 3*k**3 - 2*k**3)*(-6*k - 3*k + 2*k) in the form o + y*k + m*k**4 + g*k**2 + z*k**3 and give m. 58 Rearrange (39*n + n**2 + 4*n**2 - 41*n)*((5*n - 2*n + 6*n)*(2 + 4 - 4) + 3*n - 2*n + 0*n) to h + s*n**2 + i*n**3 + o*n and give s. -38 Express 5*h**2 + 0*h**2 - 2 + 4*h + 0*h - 6*h as u*h + m + j*h**2 and give m. -2 Rearrange 2*j + j - 2*j + (4*j - j - 5*j)*(-4 + 1 + 1) + (-3 + 6 - 2)*(j + 3*j - 6*j) - j + 3*j + j to u*j + r and give u. 6 Rearrange 3*n**4 - 1 - 4*n**4 - 13*n**3 + 0 to the form p*n**2 + o + r*n**3 + l*n**4 + t*n and give t. 0 Express 10 + b - 2*b**3 + 7 + b - 15 in the form r*b**2 + v*b + c*b**3 + j and give v. 2 Express ((-4 + 1 + 1)*(-f**4 - 4*f**4 + 3*f**4) + 2 - 2 + 4*f**4)*(-3 - 1 + 3) as w*f**3 + v + l*f + y*f**2 + a*f**4 and give a. -8 Express (-3 - 5 + 3)*(0*t**2 - t**2 + 0*t**2) + 8*t**2 - 13*t**2 + 10*t**2 as n + b*t**2 + r*t and give b. 10 Express -7 + 4 + 6 + 10*a - 3*a as t*a + s and give t. 7 Express (0 + 4 - 2)*(2*a - 2*a - a)*(2*a + 0*a - 3*a)*(-4*a**2 - 5*a**2 + 4*a**2) in the form x*a**3 + z + j*a**4 + c*a**2 + r*a and give j. -10 Express -28*u + 29*u - 5*u**2 - 6*u**2 as a*u**2 + z + k*u and give k. 1 Rearrange (3*v - 4*v + 3*v)*((4*v + 21 - 21)*(2 - 4 + 0) + 3*v + v - 6*v)*(-2*v - 3*v + 6*v) to the form b*v**2 + q*v + h + n*v**3 and give n. -20 Rearrange -a**2 - 2 - 2*a - 9*a**3 - 2*a + 8*a**3 - 4*a to the form g*a + j*a**2 + f + w*a**3 and give f. -2 Rearrange 17*n - 3*n + 5*n to the form h*n + r and give r. 0 Rearrange -2*o**3 + 15*o**3 + 2*o**4 + 8 - 2*o**2 - 7 to f*o**2 + p*o**3 + k + u*o**4 + x*o and give u. 2 Rearrange (-4 + 1 + 2)*(2*v - 4*v + 40*v) - 2*v + v + 0*v to the form y*v + b and give y. -39 Express i**3 - 147*i**2 + 0*i**4 - 6*i**4 + 145*i**2 as o*i**3 + a + v*i + f*i**4 + k*i**2 and give o. 1 Rearrange 15*d**2 - 33*d**2 + 2*d**3 + 16*d**2 - 1 + 2*d**4 to the form v*d**3 + l*d + h + w*d**2 + n*d**4 and give h. -1 Express 0*x**2 - 14*x + 2*x**2 + 13*x + 2*x**3 + x**4 as z*x**3 + v + t*x**2 + k*x + s*x**4 and give k. -1 Rearrange 2*y**2 + 4*y**2 - y**2 + (1 - 3 - 3)*(4 - y**2 - 4 + 0*y + y**2 + 0*y + (-2 + 1 + 2)*(-4*y**2 + 4*y**2 + 2*y**2)) to o + n*y**2 + a*y and give n. -5 Express 49*n + 8*n**4 + 1 + n**2 + 2*n**3 - 49*n in the form w*n**4 + l + o*n + j*n**2 + m*n**3 and give m. 2 Express 45*w**3 + 12 - 101*w**3 + 49*w**3 in the form x*w**3 + l*w**2 + k + d*w and give k. 12 Express (-2*c**3 + 4*c**2 - 6*c**2 - c**3)*((-6 + 5 + 0)*(0 - 1 + 3) - 1 + 3 + 1 + (-1 - 1 + 1)*(-4 + 0 + 2)) as q + n*c**2 + a*c**3 + k*c and give n. -6 Rearrange -2*b**2 + 4*b**2 + 0*b**2 + (2*b - 2*b + 3*b)*(-4*b - 2*b - 2*b) - 3 - 2*b**2 + 3 to u + a*b**2 + z*b and give u. 0 Express z - 19 - 40 + 44 + (-4*z + 2*z + 3*z)*(6 + 0 + 0) as u*z + n and give n. -15 Rearrange -6*m**4 - 3*m + 5*m + 0*m + 2 + 0*m**2 + 2*m**2 to the form r + a*m**3 + t*m**4 + p*m**2 + i*m and give p. 2 Rearrange (y + 2 - 2)*(184*y + 262*y + 15*y - 158*y) to j + v*y + c*y**2 and give c. 303 Express (2*l - 2*l + l**3)*(l + 3 - 3) + 3*l - 5*l**4 - 4*l + 10*l**4 as g*l**2 + n*l**3 + c + y*l + r*l**4 and give y. -1 Express (-7 + 4 - 7)*(-3*n - 2*n + 6*n + (-1 - 1 + 4)*(2*n - 1 + 1)) as q + y*n and give y. -50 Rearrange 20*z**2 - 43*z**2 - 22*z**2 to
{ "pile_set_name": "DM Mathematics" }
a composite number? False Is 11862761 prime? True Is 15814717 a composite number? True Is 411118 a composite number? True Is 127393337 a composite number? True Is 12671639 composite? False Is 647514977 a prime number? True Is 56881663 prime? True Is 195071 composite? False Is 20593231 a composite number? True Is 2840627 prime? True Is 15774853 a prime number? False Is 4269767 a composite number? False Is 3243121 composite? True Is 6313559 a composite number? True Is 1946059 prime? True Is 698701 prime? True Is 39151967 composite? True Is 18344981 a composite number? True Is 9722161 a prime number? False Is 91627973 composite? False Is 3654722 a composite number? True Is 47668963 a prime number? True Is 45161069 prime? True Is 4081703 a prime number? True Is 2227429 prime? True Is 288685249 a prime number? True Is 40961179 a composite number? True Is 476347 prime? True Is 7786993 prime? False Is 68065751 a prime number? False Is 379988837 composite? 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False Is 26870755 a composite number? True Is 143387 a prime number? True Is 4905995 a prime number? False Is 3063869 a composite number? False Is 3796649 a prime number? True Is 32737919 composite? False Is 287153701 a composite number? True Is 32245 a composite number? True Is 52020053 a prime number? True Is 407053 a composite number? True Is 1059764317 composite? False Is 62138963 a prime number? True Is 5863373 prime? True Is 2529433 composite? True Is 121276837 composite? True Is 16401343 composite? True Is 2595584717 a composite number? True Is 6648371 prime? True Is 15836057 composite? False Is 320417857 a prime number? True Is 94482851 a prime number? False Is 3399343 prime? True Is 32671391 composite? False Is 557208461 a prime number? True Is 3193129 a composite number? False Is 38399539 a prime number? True Is 99811783 a composite number? False Is 1821283 prime? False Is 16147718 a composite number? True Is 102096463 a prime number? False Is 270649345 composite? 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False Is 166925749 a composite number? False Is 14522993 a prime number? True Is 3269821 composite? False Is 3698153 prime? True Is 249507521 a composite number? True Is 407977393 a prime number? False Is 112584619 composite? True Is 19852499 a prime number? True Is 44219269 composite? False Is 178499479 a composite number? False Is 43454 prime? False Is 24534239 composite? True Is 2380199 a composite number? False Is 4238203 a composite number? True Is 3864929 composite? False Is 20422199 a prime number? False Is 14276741 a prime number? False Is 14348645 a prime number? False Is 21307229 composite? False Is 334808107 prime? True Is 1631051 prime? True Is 49047 a prime number? False Is 547934 prime? False Is 2544661 a composite number? True Is 5055167 prime? False Is 23555681 prime? False Is 2345179 a composite number? False Is 76892359 prime? False Is 15317023 a prime number? False Is 16091983 a prime number? False Is 1467413 a composite number? False Is 72701789 a composite number? 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{ "pile_set_name": "DM Mathematics" }
7) is divided by 65? 27 Suppose -16*p - 370 = -818. What is the remainder when 82 is divided by p? 26 Suppose -5*p = 14*r - 16*r - 1151, 233 = p + r. Calculate the remainder when p is divided by 130. 101 Suppose -4*k + 5*k - 24 = -m, 5*k = m + 132. Calculate the remainder when (k/(-6))/((-3)/9) is divided by 7. 6 Let g(o) = -3*o**2 - 98*o - 17. Calculate the remainder when g(-31) is divided by 11. 6 Suppose t + 1446 = 3*b, -22*b = -18*b - 3*t - 1923. What is the remainder when b is divided by 118? 11 Let h = 45650 - 45614. Calculate the remainder when 207 is divided by h. 27 Let k be (-10)/5 + 7/1. Suppose 2*n - m - m - 164 = 0, -2*n = k*m - 143. Calculate the remainder when n is divided by 29. 21 Let b be 3332/9 + 4 + 114/(-27). Let a = -213 + b. Calculate the remainder when a is divided by 18. 13 Suppose 0 = -2*y - 2*y + 36. Suppose -561 = -7*p + 636. Let z = p - 156. Calculate the remainder when z is divided by y. 6 Suppose -2*d - 4 = 0, 0 = 5*s - 2*d - 3*d - 60. Let i = -1595 - -1626. Suppose 0 = -m - s + i. Calculate the remainder when 124 is divided by m. 19 Let m be (-3)/(-5) + 0 + (-967)/(-5). Let b = -127 + m. What is the remainder when b is divided by 36? 31 Let y = -29 - -33. Suppose 5*n - y*n = 132. What is the remainder when n is divided by 34? 30 Let l = -138 - -287. Suppose -k - 24 = 3*s + 2*k, -4*k - 35 = 5*s. Calculate the remainder when l is divided by -4 - (-4 - (s + 18)). 14 What is the remainder when 222/999 - (3290/(-18) - 2) is divided by 13? 3 Let k(n) = 8*n**3 + 18*n**2 + 11*n - 30. What is the remainder when k(4) is divided by 4? 2 Suppose -667 = -28*i + 38 - 33. Calculate the remainder when 226 is divided by i. 10 Let d(a) = 34*a**2 + 39*a**2 - 109*a**2 - 36 + 40*a**2. Calculate the remainder when d(-5) is divided by 26. 12 Suppose -3*h - 942 = 3*r, r - 31 = h - 349. Let t = 341 + r. What is the remainder when 273 is divided by t? 23 Suppose 5*q - 14 = -2*b, 4*q - 35 = -5*b + q. Let s(g) = 2*g + 31. What is the remainder when 86 is divided by s(b)? 41 Suppose 3*i = -4*s + 239, 4*s + s - 5*i - 255 = 0. Let f = -19 + s. What is the remainder when f is divided by 37? 0 Suppose 4*v - t = 38, 0 = -26*v + 21*v + 2*t + 46. Suppose -2227 = -v*j + 1853. What is the remainder when j is divided by 41? 39 Let r = -1274 - -1340. Let j(d) = 4*d**2 - d - 9. What is the remainder when r is divided by j(3)? 18 Let i(v) = v + 16. Let d be i(-12). Let p be (d/(-28))/((-2)/14). Let w(k) = 13*k**3 + k**2 - 2*k. What is the remainder when 40 is divided by w(p)? 4 Suppose -6*s - 5*s + 132 = 0. Suppose 13 + s = l. What is the remainder when 77 is divided by l? 2 Suppose -106*d + 4*z = -103*d - 2118, 3*d - z = 2127. Calculate the remainder when 720 is divided by d. 10 Let x(a) = -14*a - 146. Calculate the remainder when 8525 is divided by x(-11). 5 What is the remainder when 472 is divided by (-15)/2*((-1330)/63 - 10/45)? 152 Let u(s) = -s**2 + 11*s - 10. Let a(g) = 2*g**3 + 33*g**2 - 14*g + 230. What is the remainder when a(-17) is divided by u(8)? 11 Suppose -2 = 5*m + 8. Let w = 851 + -840. What is the remainder when 6/m - 92/(-4) is divided by w? 9 Suppose 4*k = d + 113, -2*k = -6*k + 3*d + 115. Suppose -4*o + 21*w - 166 - 12 = 0, 0 = 5*o + 5*w - 90. What is the remainder when k is divided by o? 4 What is the remainder when 4*-1*(-31)/2 is divided by (-31 - -19)/(18/(-96)*2)? 30 Suppose -4*x = -x - 6. Let w(z) = 18*z - 18. Let q be w(4). Calculate the remainder when 42/q + -1 - (-76)/18 is divided by x. 0 Let t(b) = 2*b**2 + 14*b + 9. Let i be t(5). Suppose -885 = i*c - 132*c. Calculate the remainder when c is divided by 33. 31 Let u be ((-10)/2 + 2)*(-36)/27. What is the remainder when 8/(-264)*-369 + u/(-22) is divided by 3? 2 Let h be (1 - 4)*8/6. Calculate the remainder when 0 - 16/24*17*-3 is divided by (-1*2)/(h/14). 6 Suppose 11 = 3*y + f - 0*f, 3*f = -3*y + 15. Suppose 4 = 2*b + y*i, 0*b - 3*b + 16 = 2*i. What is the remainder when 11 is divided by b? 3 Suppose -4*c = -6*a + 3*a + 44, 5*a - 5*c = 65. Suppose -a + 162 = 7*u. Calculate the remainder when 40 is divided by u. 18 Let a = 216 - 57. Suppose -10*y + 181 = -a. Calculate the remainder when y is divided by 14. 6 Let d(i) = 16*i + 61. Let n be d(0). Suppose -2*m + 4*m = 18. Suppose n = 5*c - m. Calculate the remainder when c is divided by 4. 2 Let z(v) = -v**3 + 15*v**2 + 5*v - 81. What is the remainder when z(7) is divided by 14? 10 Suppose -6*w + 1265 = -931. What is the remainder when 782 is divided by w? 50 Let l = -2662 - -3093. What is the remainder when l is divided by 208? 15 Let i(a) = -20*a**2 - 82*a + 33. Suppose 5*k + 5*n = 580, k - 173 + 45 = 3*n. What is the remainder when k is divided by i(-4)? 37 Suppose -89*z + 20400 = -0*z - 29*z. Calculate the remainder when z is divided by 1. 0 Let q(z) = 2*z**2 - 18*z - 17. Let h be q(-1). Suppose -5*y - h*b + 307 = 43, 0 = -2*y + 3*b + 114. Calculate the remainder when 213 is divided by y. 51 Let r = -1437 - -960. Let d = r + 488. What is the remainder when 19 is divided by d? 8 Suppose 77*u + 600 = 65*u. Let z = u + 124. Calculate the remainder when 215 is divided by z. 67 Suppose -4*y = 3*n - 21, -4*y + 5*n - 4 + 1 = 0. Suppose y*h - 38 = 40. Let d = -9 + h. What is the remainder when 33 is divided by d? 16 Suppose 0 = -3*r - r. Suppose -11*u + 9*u - 4 = r. Calculate the remainder when 28 is divided by ((-4)/u)/(10/15). 1 Suppose 2446 = -6*i + i - x, 0 = -5*i + 3*x - 2442. Let o = -380 - i. Suppose -5*y + 29 + 26 = 0. Calculate the remainder when o is divided by y. 10 Suppose 4*u = -7*b + 33, -5*b = 2*u - 0 - 21. Let w = -29 + 64. Calculate the remainder when w is divided by b. 2 Let j(x) = x**3 - 6*x**2 + 4*x + 43. Let m be j(5). Calculate the remainder when 120 is divided by m + (14 - 6) + -5. 38 Suppose -59*g - 2*d + 768 = -55*g, 3*g - 583 = 2*d. What is the remainder when 371 is divided by g? 178 Let x(g) = g**2 - g - 150. What is the remainder when 4781 is divided by x(-12)? 5 Suppose y = 2*l + 84, 193 = 3*y + l - 45. Suppose -10*q + 14*q - y = 0. Calculate the remainder when 28 is divided by 17 + q/(-4) + -2. 8 Let k be 1/(-2)*0*(-6)/(-12). Suppose -4*j = -20, -3*b + 3*j + j + 259 = k. What is the remainder when b is divided by 12? 9 Suppose -5*m - 173 - 142 = 0. What is the remainder when (11 + -6 + m)*-1 is divided by 18? 4 Let m = 78 - 52. Let q = -155 + 162. Suppose -q*i + 18 + 45 = 0. Calculate the remainder when m is divided by i. 8 Suppose -t + 0*b = 2*b - 808, 0 = -t - 5*b + 814. Suppose 0 = -13*h + t - 154. What is the remainder when 295 is divided by h? 45 Suppose -3*x = -0*h + 4*h - 19, -3 = -2*h + 5*x. Suppose -u + h*a - 4 = 0, 5*u + 4*a - 28 = -0*a. Calculate the remainder when u is divided by 4. 0 Suppose v + 263 = -h, 0 = h - 2*v + 182 + 90. Let t = 267 + h. What is the remainder when 11 is divided by t? 0 Let b(u) = 2*u**2 - 3*u - 10. Let s(m) = -4*m**2 + 64*m - 25. What is the remainder when s(12) is divided by b(-4)? 31 Let l be (-9)/(-5)*30/(-9). Calculate the remainder when ((-100)/35)/(l/21) is divided by 5. 0 Calculate the remainder when (-23)/((-1150)/540)*465/6 is divided by 24. 21 Suppose 5*p + 2*l - 937 = 0, 0 = 349*p - 352*p - 2*l + 559. What is the remainder when p is divided by 122? 67 Suppose 0 = -6*f + 3*f + 2226. Suppose -1456 = 7*z + f. What is the remainder when z/(-4) + 9/(-6) is divided by 13? 12 Let d(i) = -4*i**3 + i**2 - 35*i - 42. Calculate the remainder when d(-5) is divided by 28. 14 Let l be 147421/38 + 3/2 + -2. Suppose -v + l = 8*v. Calculate the remainder when v is divided by 54. 53 Suppose 48*p - 2310 - 1272 = 642. Calculate the remainder when 188 is divided by p. 12 Suppose 14*n = 1579 + 3349. Let a be (n/12 + 4)*3 + 0. Let u = a + -47. What is the remainder when u is divided by 19? 15 Suppose -328 = -19*i - 36*i + 2037. What is the remainder when 640 is divided by i? 38 Suppose -3*t - 672 + 739 = -i, t - 25 = -i. What is the remainder when 4367 is divided by t? 20 Let r(v) be the third derivative of -v**5/60 + 31*v**4/24 - 25*v**3/2 + 66*v**2. Calculate the remainder when r(24) is divided by 12. 9 Suppose 0 = 5*t + 3*c - 409, 4*t - 23*c = -18*c + 305. Suppose 5*k = 2*d - 60, d - 20 = 4*k + 13. Calculate the remainder when t is divided by d. 5 Let d be (-1)/5
{ "pile_set_name": "DM Mathematics" }
+ r + 3. Let f be v(0). Which is smaller: f or 1? 1 Let l = 23 - 22. Is l smaller than 2/45? False Let t(f) = f**3 - 1. Let m be t(1). Which is greater: 1/5 or m? 1/5 Let j be 29/2 - (-6)/4. Is 15 < j? True Let v = -34 + 31. Is v not equal to -3? False Let f = 12962/189449 + -2/3211. Which is bigger: -1 or f? f Let a = -0.06 - -0.07. Which is bigger: 0 or a? a Let f be -1 + 3 - (-41)/3. Let o = f + -145/9. Is o not equal to 1? True Suppose 2*l = -3*r + 1 - 3, -5*l - 4*r - 5 = 0. Which is smaller: l or 0? l Let d = 77 + -113. Is d at most -36? True Let v = -0.01 - 1.99. Let d = 0.03 - -0.27. Let l = 0.5 - d. Is l at most as big as v? False Let p = -64/5 + 13. Are p and -1/3 nonequal? True Suppose 0 = -3*f + 3 + 3. Let j = f + 2. Suppose -3*z + 5*h = -3 + 1, -5*z = 4*h - 28. Is z equal to j? True Let o = -27 - -40. Let m = 8 - o. Do -4 and m have the same value? False Let v = -944 + 74577/79. Is v > -1? True Let i = 5 - 5. Is 2/35 not equal to i? True Let h = 3 + 4. Suppose 4*f - 6 = 3*f. Do h and f have different values? True Let g(n) = -n**3 - 5*n**2 + 5*n - 3. Let l be g(-6). Is 2 >= l? False Let f(d) = -d**3 + 2*d**2 + 1. Let s be f(2). Suppose 0*i = i - s. Let t = 33 - 33. Is t less than or equal to i? True Let y = 115.9 + -116. Let z = 76 + -534/7. Which is greater: y or z? y Suppose -21 = -5*u - 6. Suppose -3*m + u = -0. Let c be 0/m - (-2)/8. Is -4 at most c? True Let d = -0.646 - 0.164. Let j = -0.7 - d. Which is smaller: j or 1? j Let b(n) = -4*n - 1. Let y be b(-2). Suppose -4*g - 3 = -y. Let l be (-3)/(-39)*(-4)/(-2). Which is bigger: g or l? g Let x(k) = -2*k + 35. Let b be x(22). Do -9 and b have different values? False Let b(d) = -7*d**3 + 2*d**2 - 3*d + 2. Let s be b(1). Which is greater: -5 or s? -5 Let d be 2*2 - (-3)/(-3). Suppose -15 = -d*v - 2*v. Suppose -v*q = -4*q. Which is greater: -2/3 or q? q Let d(a) = -a**3 - 2*a**2 + a + 2. Let x be d(-2). Let h = -60 - -61. Is x >= h? False Let v(q) = -3*q - 3. Let w be v(-2). Suppose 21 = 2*n + w*a, -n + 3*a = a + 7. Which is smaller: 2 or n? 2 Let g = -0.05 - -7.05. Let z = g + -8. Is z > -0.2? False Let u = 7 - 4. Let g = -2 - u. Is g at least as big as -1/3? False Let t(c) = -c - 4. Let k be t(0). Let m = 6 + k. Let q = -22 - -22. Which is smaller: q or m? q Let v be (-2)/(-8) - (-6)/8. Let u be (404/52)/((-23)/2). Let p = 12/23 + u. Is p bigger than v? False Let y be (-21)/(-35) - ((-18)/15)/3. Which is smaller: 56 or y? y Let q(n) = -n**2 - n - 6. Let j be q(0). Let d = j + 14. Suppose f - 2 + 6 = 3*o, d = 5*o - 2*f. Which is smaller: o or 1/2? o Let b = 37 - 36. Is 17 at least b? True Let x = -5 + -2. Is -4 at most x? False Let j = -1372263063/2982617 - 5/129679. Let m = j - -460. Is -1 at least as big as m? False Let v be (-2)/1 - (-3408)/1698. Which is smaller: v or -1? -1 Let b = 0.04 + 0.11. Let g = b - 0.05. Let f be 1*1/5*2. Do f and g have the same value? False Let p = 1710965 + -1688722744/987. Let h be ((-6)/846)/((-2)/2). Let v = h + p. Which is bigger: -0.2 or v? -0.2 Suppose 0 = -3*v + 5*v - 70. Which is smaller: v or 0? 0 Suppose 3*p - 391 = 5*a, -5*a - 415 = 7*p - 2*p. Does a = -79? False Let i(k) = k**2 + 2*k + 3. Let v be i(-3). Suppose -3*x = 5*h - 82, v*h = -5*x + 3*h + 110. Is x less than 19? False Let v be 1 + (-4 - -5)*-1. Let k = 38 + -155/4. Is k <= v? True Let n = -5380/201201 + 2/2613. Is -1 less than or equal to n? True Let m = -83 - -95. Let q be -2*1/(-2) + 10. Which is smaller: q or m? q Let j(w) = -w**2 + 6*w - 14. Let b be j(6). Which is smaller: -13 or b? b Let u = 14/15 - 11/10. Let r = 1 - 1. Which is bigger: r or u? r Let j(d) = -d**2 + 8*d. Let v be j(6). Let l be 4/v + 0 + -1. Is l > 0? False Let w be (-210)/28 - 3/(-2). Let n(m) = m**2 - 4*m - 2. Let p be n(6). Let v = -39/4 + p. Which is smaller: w or v? w Let j be (-7)/(-3)*(-3 - 0). Let q(l) = -l**2 - 7*l + 2. Let y be q(j). Let f be 20/(-16) + (-3)/(-2). Which is smaller: f or y? f Let f(h) = -h**3 + 11*h**2 - 9*h - 5. Let y be f(10). Let a(l) = 2*l + 1. Let z be a(1). Which is smaller: y or z? z Let i = 13 + -12. Which is bigger: i or 16? 16 Let n(w) = 4*w + 20. Let s be n(-3). Which is smaller: 31/4 or s? 31/4 Let f be ((-24)/(-10))/((-10)/(-25)). Suppose -100 = d - f*d. Let s be (-4)/(-5) - 8/d. Which is bigger: -7 or s? s Suppose q + 3*q = -n + 4, -5*n - 10 = 5*q. Suppose 8*g - 3*g = -10. Let y be (-3 - -2)/q - g. Which is bigger: -1 or y? y Let q = 0 + 0. Let m = -34 + 167. Let w be 6/(-21) + 52/m. Which is smaller: w or q? q Let i = -310618 + 350998443/1130. Let o = i + 1/113. Which is smaller: o or -1? -1 Let a(l) = -l**3 + 9*l**2 + 12*l - 15. Suppose d = -c - d, d - 25 = -3*c. Let p be a(c). Suppose -5*t = k - 16, -3*k + p*t = 14 + 18. Which is smaller: k or -5? -5 Suppose 6 = 4*j + 18. Let v be (j + 2)*1/2. Is 0 greater than or equal to v? True Let k(b) = b**3 + 5*b**2 + 2*b - 6. Let z be k(-6). Which is bigger: z or -55? z Let p be 438/(-10) + (-1 - -2). Let b = 151 + -108. Let m = p + b. Which is bigger: m or -1? m Suppose 2*w + a + 4*a = -1, 3 = 4*w + 5*a. Suppose -y = -0 + 3, 6 = w*i - 2*y. Is 4/5 smaller than i? False Let x be ((-417)/105 - -4)*-293. Let f = 60/7 + x. Which is bigger: 1 or f? 1 Let n be 10 + -6 - (1 - -11). Let s be (-38)/(-10) + (n - -4). Let t = -1 + 1. Which is greater: s or t? t Let u be (-2)/(-5)*(-50)/70. Which is greater: 0 or u? 0 Let f = -0.63 - -0.6. Let g = f + -0.27. Which is greater: -2 or g? g Let x(t) be the first derivative of -t**2/2 + 7*t + 4. Let k be x(6). Is k at least 1/2? True Let y(a) be the third derivative of a**4/24 + 4*a**3/3 - 2*a**2. Let g be y(-8). Suppose 9 = 3*s - g. Is s at least as big as 4? False Let w = 18 + -18. Is -15/13 not equal to w? True Suppose 0 = -w - 8*v + 5*v - 7, 0 = -5*w - v + 7. Let l(u) = 2 - 3 + 0 - w*u. Let g be l(1). Which is bigger: g or -2? -2 Let i = -18 - -14. Let f = -15 - i. Is f != -11? False Suppose 6*g - 18 = 3*g. Is 6 >= g? True Suppose -96 = -2*w + 24. Suppose -4*b + w = -40. Suppose 5*t + 4*m = -b, -m + 1 - 6 = 0. Is 2/9 bigger than t? True Suppose 0 = -4*l + 2 + 2. Suppose 4*s + l - 5 = 0. Is 1/4 > s? False Let s be ((-10)/(-220))/((-5)/4). Which is smaller: -1 or s? -1 Let b = 11 - 16. Let j(c) = -c**2 - 6*c - 4. Let t be j(b). Let r be (-2)/((-8)/14) - 3. Which is smaller: t or r? r Let d(x) = -x**2 - 6*x + 1. Let h be d(-6). Which is bigger: h or -2/17? h Suppose s - 2*n - 16 = -5*n, 0 = -4*s + n - 1. Let o be -2*(s/(-2) - 1). Suppose w + o*q - 18 = 0, 2*q - 8 = -2*w + 8. Is 4 not equal to w? True Let n = -65 - -974/15. Is -1 less than n? True Let g = -30/13 - -322/117. Which is smaller: g or -1? -1 Let b = 5 - 5. Suppose b*s = 3*s. Let y = -1/1499 - 2969/43471. Is s > y? True Let j = -11 - -11. Is 1/4 at least as big as j? True Let v = 104 + -55. Suppose -4*x + 11 + v = 5*o, 4*x = 5*o - 20. Is 9 >= o? True Let y = -12 - -7. Suppose 5*s + 3 = -17, 0 = -t - 2*s - 10. Let j be (2 - (-6)/t)*5. Does y = j? True Suppose -34*d - 12 = -30*d. Suppose -t = -4*v - 6, 0 = 3*v + 2*v - 4*t + 2. Let n be 4/6*(1 - v). Is d greater than or equal to n? False Suppose 5*o + 2*a = -68, 2*a = o + 17 - 1. Which is smaller: -15 or o? -15 Suppose -3 = -5*w + 22. Is w at most as big as 7? True Suppose 18*y + 465 = 3*y. Is y < -1? True Let w = 5 - 15. Let t = 6 + w. Let v(b) = -b + 4. Let z be v(7). Which is smaller: z or t? t Let f = 197 + -1377/7. Is f greater than 16? False Suppose 0*q - 4*q + 16 = 4*a, 0 = 3*q + 5*a - 20. Suppose q = 2*h + 3*h - 10. Let j = h + -1. Is 2/11 equal to j? False Let u(i) = 8*i**2 - i + 1. Let x be u(1). Let s be ((-36)/x)/(-1)*-2. Is -9 > s? False Let f(o) = -o**3 - o**2 - 1. Let h(v) = -4*v**3 - v**2 - 2*v. Let d(u) = -3*f(u) + h(u). Let x be d(2). Which is smaller: 2/9 or x? x Let d = -38 + 40.1. Let i = 2.2 - d. Is -2/9 <= i? True Let o be 2*1 + 21/(-7). Let w be -2 - (o + (-32)/10). Which is smaller: 1 or w? 1 Let h = -14 - -6. Let y(m) = m**2 + 7*m - 4. Let p be y(h). Suppose 3*q - p = 7*q. Which is bigger: 1/4 or q? 1/4 Suppose -k - 2*j + 0*j = 5, 3*k - 3 = 3*j. Let f = k - -2/3. Is 3 >= f? True Let n(i) = -i**2 - 7*i + 6. Let x be n(-7). Suppose 0 = 3*w - 3 - 0. Let o be w - 1 - x/(-21). Is -0.1 at most as big as o? True Let p = 13 - 19. Let v be (2/6)/((-2)/p). Le
{ "pile_set_name": "DM Mathematics" }
)/sqrt(3)*-6 + sqrt(9)) + -1)*-6)**2. 23328*sqrt(5)/5 + 111456/5 Simplify (sqrt(1300)*1 + -4)*-2 + ((-3*1*sqrt(130) - sqrt(130) - sqrt(130))/(sqrt(10) + sqrt(70)/(sqrt(28)/sqrt(4))))**2. -20*sqrt(13) + 357/4 Simplify 6*((-3*-3*sqrt(18))**2 + sqrt(20)/(sqrt(160)/sqrt(4))). 3*sqrt(2) + 8748 Simplify (sqrt(180)/(sqrt(27)/sqrt(3)))/((sqrt(100) - (sqrt(100) + (sqrt(100)*-1 - sqrt(100))))/sqrt(10)) - (sqrt(1024)*1 - sqrt(1024))/(sqrt(32)/(-1*sqrt(4))). sqrt(2)/2 Simplify 5 + (0 + 0 + sqrt(3) + -1)*-3 + -3. -3*sqrt(3) + 5 Simplify ((5 + (sqrt(1584)*2 - sqrt(1584)) + sqrt(1584))*-3 - -2*(4 + sqrt(1584) + 1))**2. 480*sqrt(11) + 25369 Simplify ((-4*sqrt(132) - sqrt(132))*5 - sqrt(132))/(sqrt(12) + sqrt(48)/(sqrt(4) - sqrt(144))) + 4. -65*sqrt(11)/2 + 4 Simplify (-5*2*sqrt(84) - 2*sqrt(84)*-1)/((sqrt(48) - -3*sqrt(48) - sqrt(12))*-6). 4*sqrt(7)/21 Simplify (sqrt(20) + 3 - (sqrt(45)/(sqrt(45)/sqrt(5)))**2) + (sqrt(5) - (sqrt(5) + -6*-2*sqrt(5)) - (sqrt(45)/(sqrt(9)*-2) + sqrt(5))) + 0. -21*sqrt(5)/2 - 2 Simplify ((sqrt(3300) - (sqrt(3300) - (sqrt(3300)*1 + sqrt(3300)))) + sqrt(3300))/(sqrt(704)*3 + sqrt(704) + sqrt(704)). 3*sqrt(3)/4 Simplify -1*((-1 + sqrt(243) - sqrt(243)) + -2 + ((sqrt(243) - (sqrt(243) + -1)) + 4)**2). -22 Simplify (-2*-2*-1*sqrt(171))/(sqrt(54)/(sqrt(6)*-1) - (sqrt(27)*1 - sqrt(27))/sqrt(3)). 4*sqrt(19) Simplify (-1 + -5*((sqrt(448) - (3 + (1 + sqrt(448) - sqrt(448)) + sqrt(448)) - sqrt(448)) + sqrt(448))*3)**2. 3481 Simplify (2*sqrt(85)*4)/(sqrt(5) + sqrt(245)*1). sqrt(17) Simplify ((sqrt(98)*1 + 4 - (sqrt(98) - (sqrt(98)*1 + 1))) + 3*(2 + sqrt(98) + 2))**2. 952*sqrt(2) + 1857 Simplify ((sqrt(245)*-1)**2 - sqrt(5) - -1*(sqrt(5) - sqrt(5)*1)) + sqrt(35)/(sqrt(7) + sqrt(21)/sqrt(192)). -sqrt(5)/9 + 245 Simplify (-3 + sqrt(304)*-2)**2 + sqrt(1900) + (sqrt(1900) + 3 - sqrt(1900)) + -4. 58*sqrt(19) + 1224 Simplify 4 + ((sqrt(68)/(sqrt(2) + sqrt(14)/sqrt(7) + sqrt(2)))/sqrt(2))**2*-5. -49/9 Simplify (-6*-4*((sqrt(931) - -3*sqrt(931)*-2) + (5*3*sqrt(931) - sqrt(931))))**2. 43436736 Simplify -3 + (sqrt(112)/sqrt(2))/sqrt(8) + (6*(sqrt(7) - sqrt(21)/(sqrt(12)/sqrt(4))))**2. -3 + sqrt(7) Simplify (5*(sqrt(110) + (sqrt(110)*2 - sqrt(110))))/(sqrt(70)/sqrt(7)*-5) + 2. -2*sqrt(11) + 2 Simplify 2 + ((sqrt(190)/((sqrt(20)*-1 - sqrt(20))/sqrt(2)))**2 - sqrt(152)/(sqrt(72) - (sqrt(72) + sqrt(72)*-4))). -sqrt(19)/12 + 27/4 Simplify sqrt(27) + (0 + sqrt(27))*4 + (-6*sqrt(243)/sqrt(9))/sqrt(9). 9*sqrt(3) Simplify (sqrt(960)*-1 + -3*sqrt(15)*-1)/(sqrt(15)/((sqrt(3)*-2 + sqrt(3) - sqrt(3))*-3)). -30*sqrt(3) Simplify (1*((-1*sqrt(95) + sqrt(95))*-4 - sqrt(95)))/(sqrt(245) - (sqrt(245) - sqrt(245)*-1) - 1*sqrt(80)). sqrt(19)/11 Simplify ((4*(sqrt(504) + -3*sqrt(504)))/sqrt(12))/(2*1*sqrt(864)). -sqrt(7)/3 Simplify (2 + -3*((-6*(1 + sqrt(245)) - sqrt(245)) + sqrt(245))*-2)**2. 17136*sqrt(5) + 318676 Simplify ((sqrt(90)*-2 - sqrt(90))/sqrt(5)*-3 + (sqrt(108) - (sqrt(108) + sqrt(108) + sqrt(108)*1*-5 + sqrt(108)))/sqrt(6))**2. 2592 Simplify (sqrt(68))**2 + -1 + (((1*sqrt(170) - sqrt(170))/sqrt(10))**2 - sqrt(17)) + -5 + -2. -sqrt(17) + 60 Simplify (2*-3*(sqrt(33) - sqrt(528)))/((sqrt(72)/sqrt(2))/sqrt(12)*3). 6*sqrt(11) Simplify -6*(sqrt(1125))**2 + 2*(sqrt(720) + 2). -6746 + 24*sqrt(5) Simplify (sqrt(3) - (-1 + sqrt(3) + -2)) + (sqrt(54) + sqrt(6))/sqrt(2) + ((sqrt(192) + 1 + -2)*6)**2. -572*sqrt(3) + 6951 Simplify 4 + 1*sqrt(11)*1*-1 + -6*(sqrt(11) + -1 - sqrt(11))**2 + ((sqrt(66)*2)/sqrt(6) - sqrt(11)). -2 Simplify (1*sqrt(98) + -1 - (sqrt(180)/sqrt(90))/sqrt(9))**2. -40*sqrt(2)/3 + 809/9 Simplify (-1*sqrt(1260)*-3)/((sqrt(135)/sqrt(3))/sqrt(9) + sqrt(20)/sqrt(4)*1). 9*sqrt(7) Simplify (((sqrt(847) - sqrt(847)*-2) + sqrt(847))*-3*6*3*3)**2. 355658688 Simplify ((sqrt(1053)*2*-1)**2 + -6*(sqrt(1053)*1 - sqrt(1053)))*5. 21060 Simplify (sqrt(2736)*4 - (-3*3*sqrt(19) + sqrt(19)))**2 + 0. 59584 Simplify (sqrt(95)*1*4 - 1*(-2*sqrt(95) + sqrt(95) - sqrt(95)))/(sqrt(55)/(sqrt(77)/(-2*sqrt(7)))). -3*sqrt(19) Simplify 0 + (3 + 1 + sqrt(11))**2 - (2*-1*sqrt(88))/sqrt(8). 27 + 10*sqrt(11) Simplify ((sqrt(153) - (sqrt(153) - (sqrt(153) - (sqrt(153)*3 + sqrt(153)))))*-6)/sqrt(9) + (4 + -2*sqrt(425))**2. -62*sqrt(17) + 1716 Simplify 5 + (3 + 0 + -5*sqrt(1008)*-2)**2. 720*sqrt(7) + 100814 Simplify (sqrt(152)*-2*-2 - sqrt(152) - (sqrt(152) - 1*(sqrt(152) + (sqrt(152)*-2 - sqrt(152)) - sqrt(152))))/(sqrt(96)/(2*sqrt(12)*5)). -10*sqrt(19) Simplify (3*sqrt(1617) + sqrt(1617))/(sqrt(6)/(sqrt(2)*4)). 112*sqrt(11) Simplify 6*((sqrt(3) - sqrt(3)*-2)*-2)**2*-4 + ((1 + (sqrt(3) - (sqrt(3) + 0)) + 4)*-1)**2. -2567 Simplify ((-4 + 1*(sqrt(7) + -1))**2 + (sqrt(70)/((sqrt(40)/sqrt(4) - sqrt(10))*-4 - sqrt(10)))**2)*1. -10*sqrt(7) + 39 Simplify (3 + 5*((-1 + sqrt(19))*-4 + sqrt(19)) + -5)*-5. -90 + 75*sqrt(19) Simplify ((sqrt(52) + (-2*sqrt(208) + sqrt(52) - sqrt(52)))*-2)/((sqrt(392)*3)/sqrt(2)). 2*sqrt(13)/7 Simplify ((sqrt(1584) - sqrt(1584)*2)*-2)/(sqrt(32)/(sqrt(88)/sqrt(275))). 12*sqrt(11)/5 Simplify (sqrt(24)/sqrt(16)*6)/(1*sqrt(192) - sqrt(192) - sqrt(24)/(sqrt(8)*1)). -3*sqrt(2) Simplify ((-5*(sqrt(77) + 5*sqrt(77)))/sqrt(7) - (5 + sqrt(1331) + -2))**2. 246*sqrt(11) + 18500 Simplify -1 + (4*sqrt(77)*-4)/(sqrt(77)/(sqrt(28) + sqrt(7))). -48*sqrt(7) - 1 Simplify (-4*-5*sqrt(20)/sqrt(2))/(sqrt(2) - sqrt(216)/sqrt(12) - 3*sqrt(4)/sqrt(2)). -4*sqrt(5) Simplify -1*(-2*sqrt(176) + -5)**2 - (sqrt(176) + ((sqrt(176) - (1 + sqrt(176) + -5))**2 - sqrt(176)) + sqrt(176))*3. -777 - 92*sqrt(11) Simplify 2*(sqrt(6655)*3 - sqrt(6655) - sqrt(6655) - sqrt(6655))/(sqrt(10)/sqrt(98)). 0 Simplify (-5*sqrt(104)/sqrt(4))/sqrt(2) + (1*sqrt(13) - sqrt(13)) + sqrt(13) + 5 + sqrt(13) + (sqrt(832) + sqrt(832)*-2 + sqrt(832))**2. -3*sqrt(13) + 5 Simplify (5*sqrt(50)/(sqrt(50)/sqrt(5)))**2 - (-2 + sqrt(180))**2*-4. -96*sqrt(5) + 861 Simplify (-2*(sqrt(1573) + -2 + sqrt(1573)) + sqrt(1573) + sqrt(1573) + -3)**2 + -3. -44*sqrt(13) + 6290 Simplify (-3 + ((sqrt(704)*-2*4 + -5)*-3)**2)*-1. -405726 - 5760*sqrt(11) Simplify (sqrt(35) + sqrt(4235)*4)/(sqrt(180) - (sqrt(180) + sqrt(180) + sqrt(180)*-3 + sqrt(180))). 15*sqrt(7)/2 Simplify (-4 + -1*-5*(1 + sqrt(612) + 0 + sqrt(612)))**2*3. 360*sqrt(17) + 183603 Simplify 2*(sqrt(15) + (sqrt(1815) - (sqrt(1815) - (sqrt(1815) + sqrt(1815)*-1))) + sqrt(15))/sqrt(3) - -5*(1 + sqrt(5) + (1*(sqrt(5) + sqrt(10)/sqrt(2)))**2). 9*sqrt(5) + 105 Simplify -5*(((sqrt(121)/(sqrt(11)*-2))**2 - (3 + (sqrt(11) - (-1 + sqrt(11))))) + (4*sqrt(88)/sqrt(32))**2). -855/4 Simplify (2*sqrt(70)*2*-1)/(sqrt(90)/(-1*-2*sqrt(9))). -8*sqrt(7) Simplify (-5*2*sqrt(192)*-4*1*-5)**2. 7680000 Simplify -5 + (-3 + sqrt(171))**2 - ((sqrt(19) - sqrt(171))*-4 + (-2*sqrt(19) + sqrt(19) - sqrt(19))*-2)**2. -2561 - 18*sqrt(19) Simplify (2*sqrt(84)*1 + ((sqrt(84) - (sqrt(84) + 1*sqrt(84) - sqrt(84))) + sqrt(84))*3)/((((2*sqrt(84) - sqrt(84)) + sqrt(84))/sqrt(7) - sqrt(12))*-5). -sqrt(7) Simplify (-1*(2 + (sqrt(684) + (-4*(sqrt(684) + -2) - sqrt(684)) - sqrt(684))))**2. -600*sqrt(19) + 17200 Simplify (-4*sqrt(130)*1)/(((sqrt(10) - sqrt(160)) + sqrt(10))*-4). -sqrt(13)/2 Simplify 5*((sqrt(45) + 1)*2 - (-2 + sqrt(605)*-1)). 20 + 85*sqrt(5) Simplify (-1*(1 + 3*sqrt(1053)))**2 + 0. 54*sqrt(13) + 9478 Simplify ((2*(sqrt(110) + 1*sqrt(110)) + sqrt(110))*3)/((sqrt(810)*2 - sqrt(810))*-1). -5*sqrt(11)/3 Simplify ((-2*sqrt(216))/sqrt(9))/(-1*(sqrt(210)/sqrt(7))/sqrt(10)). 4*sqrt(2) Simplify (-1*(-1 + (sqrt(468) - (-2 + sqrt(468))) - sqrt(468))*3)**2. -108*sqrt(13) + 4221 Simplify (-4*(sqrt(252) + 0)*1*-2)**2 + 1. 16129 Simplify -2*4*((sqrt(99) + 0 + sqrt(99) - sqrt(99))*-3 - (sqrt(99) + sqrt(99) + (sqrt(99) + -1)*4))**2*5. -321400 + 8640*sqrt(11) Simplify (5*sqrt(3200)*4 - sqrt(150)/(5*(sqrt(3) - sqrt(9)/sqrt(3) - sqrt(3))))**2. 1283202 Simplify (3 + (5*(sqrt(5) - (-1 + sqrt(5))) - (-5 + sqrt(10)/sqrt(2)) - (1 + sqrt(720) + -1)))*-6. -78 + 78*sqrt(5) Simplify ((sqrt(700) + 4 - sqrt(700)) + sqrt(700) + 0)**2 + (sqrt(7)*2 + -1 + (sqrt(126)/sqrt(2) - sqrt(63))/sqrt(9))**2. 76*sqrt(7) + 745 Simplify 1 + (sqrt(2058)*2*3 - sqrt(2058))/(sqrt(12)/(sqrt(2)*1*-6)). -210*sqrt(7) + 1 Simplify (sqrt(11) - (sqrt(11) + -2))**2*-4*-2 - ((sqrt(11) + -2 + sqrt(275))*2)**2. -1568 + 96*sqrt(11) Simplify (-6*sqrt(209)*1 - (sqrt(209) - (-
{ "pile_set_name": "DM Mathematics" }
in 11/4 of a millennium? 275 How many minutes are there in 1/15 of a day? 96 What is 3/10 of a millennium in decades? 30 How many nanometers are there in 81/4 of a micrometer? 20250 How many months are there in 7/2 of a year? 42 What is 7/2 of a year in months? 42 What is 5/4 of a week in minutes? 12600 How many millilitres are there in 7/4 of a litre? 1750 How many milligrams are there in 99935.84ug? 99.93584 What is 4312.965 nanometers in centimeters? 0.0004312965 Convert 13360.962 months to millennia. 1.1134135 What is 21/8 of a meter in millimeters? 2625 How many millilitres are there in 77/2 of a litre? 38500 How many centimeters are there in 5/4 of a meter? 125 What is 6/5 of a litre in millilitres? 1200 What is seven quarters of a litre in millilitres? 1750 What is 6/25 of a kilogram in grams? 240 Convert 726.5514g to micrograms. 726551400 What is 8.804849us in milliseconds? 0.008804849 What is 0.9263964g in tonnes? 0.0000009263964 How many months are there in 7/4 of a decade? 210 What is 48/5 of a microgram in nanograms? 9600 Convert 458920.4 litres to millilitres. 458920400 What is 3/5 of a microgram in nanograms? 600 How many centimeters are there in three fifths of a meter? 60 Convert 53.64944 centuries to years. 5364.944 Convert 567386.9mm to centimeters. 56738.69 What is 904.3906 centuries in years? 90439.06 How many millennia are there in 29557.49 years? 29.55749 What is 21/5 of a second in milliseconds? 4200 What is 72142.58 milliseconds in seconds? 72.14258 Convert 633513.9 hours to days. 26396.4125 Convert 184295.0529s to weeks. 0.30472065625 How many milliseconds are there in eleven halves of a second? 5500 What is 6/25 of a litre in millilitres? 240 What is five quarters of a century in months? 1500 How many kilograms are there in seventeen quarters of a tonne? 4250 What is 9.782632 minutes in microseconds? 586957920 What is fifty-five halves of a micrometer in nanometers? 27500 What is fourty-nine quarters of a century in months? 14700 How many centimeters are there in 1/10 of a meter? 10 How many grams are there in 39135.84 nanograms? 0.00003913584 How many millimeters are there in 5642.89cm? 56428.9 Convert 54811.54 litres to millilitres. 54811540 How many milliseconds are there in one fifth of a minute? 12000 How many grams are there in 21/2 of a kilogram? 10500 How many minutes are there in fourteeen ninths of a week? 15680 What is 3.804607 nanograms in micrograms? 0.003804607 What is 0.4693704 nanoseconds in milliseconds? 0.0000004693704 What is 947.49 months in centuries? 0.789575 What is 64/3 of a day in hours? 512 What is 5/24 of a hour in seconds? 750 Convert 916.2919 litres to millilitres. 916291.9 How many millilitres are there in nineteen quarters of a litre? 4750 How many milliseconds are there in 5/8 of a second? 625 What is 39896.31 nanograms in milligrams? 0.03989631 How many months are there in 72/5 of a century? 17280 Convert 39782.18ng to micrograms. 39.78218 What is eleven halves of a litre in millilitres? 5500 How many meters are there in twenty-five halves of a kilometer? 12500 What is 1/18 of a day in minutes? 80 How many years are there in 600331.3 centuries? 60033130 What is 1/5 of a micrometer in nanometers? 200 Convert 17.193588 months to decades. 0.1432799 How many months are there in one quarter of a century? 300 What is 17/4 of a microsecond in nanoseconds? 4250 How many millimeters are there in 17/2 of a meter? 8500 How many decades are there in 259.49601 months? 2.16246675 What is 1.861335 micrograms in milligrams? 0.001861335 How many millilitres are there in 12/25 of a litre? 480 How many meters are there in 49/4 of a kilometer? 12250 What is 3/5 of a gram in milligrams? 600 Convert 334383.4 grams to micrograms. 334383400000 Convert 377748.35 days to weeks. 53964.05 How many months are there in 5/4 of a millennium? 15000 How many hours are there in nine fourteenths of a week? 108 What is 0.4262765t in micrograms? 426276500000 What is 21/8 of a microgram in nanograms? 2625 How many meters are there in one fifth of a kilometer? 200 Convert 4951.904ng to tonnes. 0.000000000004951904 How many millilitres are there in nineteen quarters of a litre? 4750 What is 821158.2 years in decades? 82115.82 What is 2/45 of a day in minutes? 64 What is four thirds of a minute in seconds? 80 What is 6/25 of a litre in millilitres? 240 How many kilograms are there in 40606.1 milligrams? 0.0406061 How many centimeters are there in 24969.67nm? 0.002496967 What is 45.97736ng in micrograms? 0.04597736 What is 59/5 of a microgram in nanograms? 11800 How many millimeters are there in 32/5 of a meter? 6400 How many millimeters are there in 11/4 of a meter? 2750 Convert 9.171707 centuries to decades. 91.71707 How many decades are there in 64722.25 years? 6472.225 What is 4.590347 years in centuries? 0.04590347 How many months are there in two fifteenths of a decade? 16 How many millilitres are there in five eighths of a litre? 625 Convert 26613.003 months to millennia. 2.21775025 How many hours are there in 468.59544 nanoseconds? 0.0000000001301654 What is 91.33607 millilitres in litres? 0.09133607 How many months are there in three eighths of a millennium? 4500 Convert 4.587706 meters to millimeters. 4587.706 What is 43/2 of a day in hours? 516 What is one fifth of a gram in milligrams? 200 Convert 81617.6 years to decades. 8161.76 What is seven halves of a litre in millilitres? 3500 What is 7/2 of a litre in millilitres? 3500 What is 0.4225371 millennia in years? 422.5371 How many seconds are there in 47/4 of a hour? 42300 How many nanometers are there in 62.48196cm? 624819600 How many milligrams are there in 5/8 of a gram? 625 Convert 856855.2 centuries to months. 1028226240 How many milliseconds are there in 0.5232095 seconds? 523.2095 How many years are there in 11/4 of a century? 275 What is 17477.84ml in litres? 17.47784 How many grams are there in 2451.688 tonnes? 2451688000 How many years are there in 2865384.9 months? 238782.075 Convert 122.0413ml to litres. 0.1220413 What is 26/5 of a millennium in years? 5200 Convert 0.907666 decades to millennia. 0.00907666 What is 46/5 of a litre in millilitres? 9200 Convert 3.81023 years to millennia. 0.00381023 What is three eighths of a milligram in micrograms? 375 What is eleven sevenths of a week in minutes? 15840 How many grams are there in seventeen tenths of a kilogram? 1700 How many months are there in 3/25 of a millennium? 1440 Convert 588742.1 meters to millimeters. 588742100 Convert 736055.3 grams to tonnes. 0.7360553 What is 745450.1ml in litres? 745.4501 What is 0.8232035l in millilitres? 823.2035 How many millilitres are there in nineteen quarters of a litre? 4750 Convert 87.93399 grams to milligrams. 87933.99 How many micrograms are there in fourty-five eighths of a milligram? 5625 How many months are there in 29.29709 millennia? 351565.08 What is 729765.7 decades in months? 87571884 How many micrograms are there in seventeen tenths of a milligram? 1700 What is twenty-nine halves of a year in months? 174 How many micrograms are there in eighteen fifths of a milligram? 3600 What is 51/2 of a litre in millilitres? 25500 What is 0.2118402 centuries in millennia? 0.02118402 Convert 0.5412872ml to litres. 0.0005412872 How many hours are there in five sixths of a week? 140 How many litres are there in 39.90032ml? 0.03990032 What is 16.42161 millimeters in kilometers? 0.00001642161 What is 176997271.5s in weeks? 292.65421875 Convert 71222.79 years to decades. 7122.279 What is seven halves of a litre in millilitres? 3500 How many seconds are there in 1/5 of a minute? 12 Convert 5.517876 millennia to months. 66214.512 What is fifteen quarters of a decade in months? 450 How many nanograms are there in 1/4 of a microgram? 250 Convert 9852.3 centuries to months. 11822760 How many grams are there in nineteen quarters of a kilogram? 4750 How many minutes are there in three fifths of a week? 6048 How many millilitres are there in twenty-five quarters of a litre? 6250 What is 263.08581 months in decades? 2.19238175 Convert 24458.19 weeks to microseconds. 14792313312000000 What is 27/4 of a litre in millilitres? 6750 What is 0.4763925ml in litres? 0.0004763925 How ma
{ "pile_set_name": "DM Mathematics" }
-3*i - 2*s, -i + 0*i - s = d for i. -5 Let f = -454 + 477. Suppose 34 + f = 19*i. Solve -i*l - 15 = -3*z, 3*l + 5*z - 4 = l for l. -3 Suppose -5*x = -4*x - 2. Let d(t) = -t + t - 53 + 8*t. Let r be d(9). Solve 5*m = -3*n - r, -2*m - x*n - 6 + 0 = 0 for m. -5 Let i be ((-86)/(-387))/((-2)/(-387)). Solve -i*b + 44*b + 12 = -3*a, -2*a - 16 = -2*b for b. 3 Let m be ((-43)/(1720/192))/((-5)/25). Solve 4*g - m = -0*g - 3*w, -8 = 4*g - 5*w for g. 3 Let s = 714 - 714. Solve -2*a + 4*l = -8, 5*l + 8 + s = 3*a for a. -4 Let f be ((-10)/6)/((-2)/(-8) - (-28)/(-48)). Solve 3*n = 7 + 5, -5*n = -f*i - 20 for i. 0 Suppose -t + 462*y = 465*y + 21, 5*t + 3*y + 9 = 0. Solve q + 2 = t*h, -5*h + 13 = -q + 9 for h. 1 Let x be (-18)/4*20*7/(-105) + 61. Solve -u = g + 5, -x*g + 68*g + 5 = -3*u for g. -5 Let p(x) = x**3 - 23*x**2 - x + 25. Let u = 184 - 161. Let s be p(u). Solve -5*b = 5 - 0, -c = 3*b + s for c. 1 Suppose -8 = 4*j, 68*j = -4*w + 72*j + 20. Solve -16*y + 3*s - 3 = -17*y, 4*s - 30 = w*y for y. -6 Suppose -91 = 8*m - 115. Solve 3*i + d = 6*d - m, 1 = -i + 2*d for i. -1 Let y be (10 - (13 + -7))*(-138)/8. Let o = y - -91. Solve 5*i + 20 = -3*n, -n - 2*i - o = 3*n for n. -5 Let l(c) = 2*c**3 + 13*c**2 - 5*c - 6. Let u be l(-6). Suppose 0 = -0*y - 15*y + u. Solve -w - 2*i = 1, w - y*i + 0*i = 11 for w. 3 Let o = -217 + 221. Solve -12 = -9*x + 5*x - o*u, 3*u - 10 = -4*x for x. 1 Let o be -6*(1 - -1)*(-150)/200. Solve -4*l = 4*v, -2*l - o = -3*v - 19 for l. 2 Suppose 0 = -4*o + 8, -18*o + 12 = 4*r - 20*o. Solve 5*t - 41 = r*d - 22, 3*d = -3 for t. 3 Suppose -5*x - 112 = 3*d, 0 = 2*d - 2 + 10. Let r = x + 21. Let i be (r + -2)*(5 - 8). Solve -12 + i = -5*u - 2*t, 3*u + 4*t - 11 = 0 for u. 1 Let t = -28 + 30. Let d be (7 - (5 - -4)) + t + 3. Solve -5*j + i + d = 0, 3*j = -j - i + 6 for j. 1 Let u(a) = 2*a**3 - 4*a**2 - 3*a - 7. Let p be (-24)/(-4) - (-3 - -5). Let l be u(p). Suppose -6*o = -33 - l. Solve -3*v + 2 = 4*g - o, -4*v = -4*g + 8 for g. 3 Suppose -1788*j + 18 = -1785*j - 3*d, -j + 1 = 4*d. Solve 12 = -3*p - 3*n, -9*p = -5*p - j*n + 7 for p. -3 Suppose -306*i + 2 = -308*i + 2*o, 2*i + 5*o = 40. Solve -i*m + 10*m - 25 = 0, 3*w + 12 = 3*m for w. 1 Let h be ((-190)/4)/(-5) + (-591)/394. Solve 4*q = 4*k - 12, h = -5*q - 4*k + 2 for q. -2 Suppose -42*b - 205*b = -57*b - 760. Solve -4*c + 3*c = -b*l - 16, 4*l + 28 = -2*c for l. -5 Suppose 0 = -o + 4*x + 8, -7*o = 5*x + 46 - 69. Solve 3*j + 2*u = -j, -22 = -3*j + o*u for j. 2 Let o(y) = y**3 - 14*y**2 + y - 14. Let q be o(14). Suppose 5*g + 2*s + 21 = 8*g, q = -4*s - 12. Solve 0 = -g*w + d + 3 + 3, 7 = 2*w - 5*d for w. 1 Let b = -464 - -465. Let m(l) = 4*l**2 - 2*l + 3. Let u be m(b). Solve -5*d + 25 = -u*j, -4*d - 21 = 3*j - 6 for d. 0 Let m(h) = 4*h - 5. Let d be m(2). Let x = d - 4. Let r = x - -6. Solve r*y + 11 = -4*j, 3*y = 3*j - 3 - 9 for y. -3 Suppose 21*f - 28*f - 24 = -15*f. Solve 0 = 5*n + 5*j + f + 2, 3*n - 4*j - 11 = 0 for n. 1 Suppose -4*g + 16 = 0, -2*u - g + 29 = 21. Solve -1 = 3*j - 4*j - u*h, -2*j - 25 = -5*h for j. -5 Suppose 2*l - 20 + 12 = 0. Suppose -4*t = l*v - 16, 3*v - 4 = 8. Solve 0*f - 25 = 5*f - 4*k, -5*f - 3*k - 25 = t for f. -5 Suppose 89*m + 604 = 871. Solve i = -12*r + 11*r - 3, 0 = -r + 5*i - m for r. -3 Let z(h) be the third derivative of -7*h**4/24 + 4*h**3 - 27*h**2. Let k be z(3). Suppose 5 = q - 0. Solve -k*o - 7 = -2*w, 22 - 2 = -5*o + q*w for o. 1 Let x be (-57)/9 + 6 - (-2)/6. Suppose -2*i + 10 = b, -2*b + 0 = -3*i + 1. Suppose 5*v = -q + i*q - 4, x = 2*v. Solve -q*p - 5*g + 21 = -6*p, 3*g = 15 for p. 1 Suppose 0 = -2*p - 8, -7*p - 33 = -3*c - p. Solve -5*d + 12 = -3*s + 36, -c = -5*s - 4*d for s. 3 Let v = -138 + 204. Suppose -v*s = -72*s + 18. Let t(h) = -h**2 + h. Let x be t(0). Solve x = -7*c + 2*c + u - 1, -3*u = s*c + 15 for c. -1 Let h be (4/(-6))/((-2)/6). Suppose 93 = 12*f + 33. Let p be (-3)/f - 18/(-30). Solve p = h*g + 4*c - 9*c + 13, 2*c - 22 = 5*g for g. -4 Let p be (((-1155)/(-20))/7)/(1/12). Let m = p + -87. Suppose q + 2*q + m = 0, -12 = u + 3*q. Solve a - 12 = -2*v - 3*v, -5*a + v - 18 = u for a. -3 Let o(b) = -2*b**3 + 5*b**2 + 15*b - 3. Let r be o(-2). Solve -3*u = g - r*g - 16, -4*g - 5*u = -12 for g. -2 Let i be (1 + (-3)/5)/(2/(-10)). Let r be ((-3)/(-1) + i)*(-10 - -38). Solve -2*q + 3*o + 2 = 0, 5*q + 3*o + r = -9 for q. -5 Let b = 67 + -50. Suppose -3*f - 20 = -5*f. Solve 3*d - p = f, b = 4*d - 0*d - 5*p for d. 3 Let w be 41/((-2214)/(-228)) + 4/(-18). Solve 5*r + 64 = w*y + 28, 2*y = -3*r - 4 for y. 4 Suppose 0 = i + z + 69, -z + 79 = -3*i - 112. Let v be (-40)/(-6)*(-78)/i. Solve 2*o - 2 = 2*j + j, 4*j - v = 0 for o. 4 Let v(l) = 9*l**3 - 5*l**2 + 2*l + 5. Let m be v(3). Suppose -m*t + 213*t - 16 = 0. Solve 0 = -2*d - d + 3*x - 12, -4*d + 24 = t*x for d. 1 Let r be ((-28)/(-35))/((-4)/(-10)). Let c(s) = -3*s - 33. Let a be c(-12). Let u be (-9)/a + 2 - -4. Solve -u*m - 5*j + 15 = 0, 6 = -r*m + 4*m + 2*j for m. 0 Let i = 4915 - 4913. Solve -15 = -3*t, 0 = i*l + 5*t - 9 - 22 for l. 3 Let o = 76 + -63. Let j(s) = 3*s - 38. Let k be j(o). Solve 2 = -d, -d = -g - k - 1 for g. -4 Let l = -3401 + 3421. Solve -23*b - 3*v + 20 = -21*b, -3*b - 2*v = -l for b. 4 Let g be -98*4/(-8) + 4 + -1. Suppose -5*l - 3*q = 146, 10 = -2*l - 3*q - g. Let y be (l/(-35))/(4/270). Solve -14 = 5*a - 4*i - y, -2*a = 5*i + 17 for a. 4 Let q(p) = -29*p - 329. Let b be q(-12). Solve m - 1 = 2, 2*l - 3*m = -b for l. -5 Let z be ((-24)/18)/((-4)/6). Solve 2*r = 5*y + 8, -2*r = 4*y - 6*y - z for y. -2 Let n = 639 - 506. Let t = n - 122. Solve -v = -3*o - t - 6, -v + 4*o = -21 for v. 5 Let t = -121 + 125. Suppose t*b + 33 - 37 = 0. Let a = b + 3. Solve -h - a = -j, 13 = h - 3*h - 3*j for h. -5 Suppose 9 - 1 = 2*o - 0. Solve 4*b = x + o - 23, 0 = -5*x - 3*b - 20 for x. -1 Suppose 4*n - 65 = -3*x, n = 2*x - 4*n - 28. Let k = -17 + 31. Let d = x - k. Solve 5*m - d = -0, -2*o - 4*m - 6 = 0 for o. -5 Let p(h) = -h**2 + 12*h - 15. Let l be p(8). Suppose -2*r + 10 = 0, -4*j + 4*r = -3*j + l. Solve 0 = -5*x - a + 21, 0 = j*x + 3*a + a + 1 for x. 5 Let b = 1542 + -1539. Solve -6 = -b*m - 3*y, -y + 20 = 3*m + 8 for m. 5 Let w(r) = -2*r**3 + 174*r**2 + 25*r - 2172. Let z be w(87). Solve -z*c - 74*s + 73*s - 10 = 0, 2*c - s = -5 for c. -3 Let z = 4879 - 4870. Solve -5*n = 4*s + 32 - 11, -4*s + z = -n for s. 1 Suppose -t + 3*s = 3, -4*t + 7*s = 4*s - 6. Suppose -l = -2*c - 9, l = -4*c + 1 + 2. Solve 2*o - 6*h + h = 0, t*o + l = 4*h for o. -5 Suppose -12 = -58*g + 220. Solve -4*h + 7 = d, 0*d = -2*d - 2*h - g for d. -5 Suppose -3*r = 4238 - 4244. Solve r*z + i = -2*z - 9, -6*z - i = 11 for z. -1 Suppose 3*p - 39 = 5*j, -2*j + 4*p - 26 = 8*p. Let m be (25/25)/(-1 - 0)*j. Solve -m = 4*d - 3*o, -2*d - o - 4 = -d for d. -3 Suppose 5*c = 5*f, -2*c - 192*f + 193*f + 3 = 0. Solve -2*v = 2*l - 6*v + 2, -2*l + 1 = -c*v for l. 5 Let a be 3 + (3 + -1)*-176. Let z = a + 245. Let j = 104 + z. Solve -2*k = -k - 3*m, j = -5*k + 4*m for k. 0 Suppose -7*h = -2*h - 155. Suppose -h*q + 144 = -19*q. Solve -5*p - 19 = -i - 0*i, 3*p = -q for i. -1 Let r(q) = -2*q**2 - 132*q + 2. Let v be r(-66). Solve 4 = w - v*z, -5*w = -8*w - 4*z - 8 for w. 0 Let c be 10442/12 - 43/258. Let f = c + -868. Solve -y = -3*i - 2, 3*y + 2 = f*i - y for i. -1 Let j(h) = 28*h - 220. Let q(a) = -a + 2. Let s(l) = j(l) - q(l). Let w be s(8). Solve -5 = -4*p - 0*g + g, 2*p + 2*g + w = 0 for p. 0 Let t(g) = 240*g + 483. Let s be t(-2). Solve -4*w = 5*h + 16, 4*h - 11 - 1 = s*w for h. 0 Let x(i) = -19*i + 2. Let d be (2 - 4) + 5/((-20)/12). Let n be x(d). Let j be 1/(4/(n - 5)). Solve -4*w = v - 21, j = 3*v + 8 for w. 4 Let u be (-160)/(-78) - 1038/20241. Solve -5*g = -r, -5*g - 19 + 24 = -u*r for r. -5 Let k(s) = s**2 - 18*s + 47. Let b be k(15). Let j be 10 + -6 + -1 - -2. Solve b*p - 1 = -z - 5, 10 = -j*p + 5*z for p. -2 Let k = -79 + 83. Suppose -z - 4*z + 10 = -k*t, -6 = -3*t - 3*z. Suppose p - u - 3 = -0*p, t = -p + 4*u. Solve 4*f = -0*x - 3*x - 28, -3*x + p = -4*f for x. -4 Let o be (12*4/8)/3. Suppose y + 6 = 3*y + 2*r, -o*y + 13 = -5*r. Suppose 3*i + 10 = -y*a, -a = -0*a + 4. Solve w + l - 7 = 0, 0 = -6*w + i*w + 2*l - 2 for w. 2 Suppose 4*k - 5*j - 12 = -3, 0 = 5*k + 5*j. Let w(l) = 18*l - 3*l + 5*l - 3 + 15*l. Let x be w(k
{ "pile_set_name": "DM Mathematics" }
491*u**2 - 502*u**2. 2*u**3 Collect the terms in -172*f**2 + 555*f**2 - 7 + 1 - 194*f**2 - 172*f**2. 17*f**2 - 6 Collect the terms in -7*t + 66*t + 60*t + 20*t + 538. 139*t + 538 Collect the terms in -1814 + 4280 + v + 93136. v + 95602 Collect the terms in 209152*f + 144604*f + 42859*f - 81470*f. 315145*f Collect the terms in -149*h - 6 - 255*h - 182*h + 418*h + 4. -168*h - 2 Collect the terms in -6 + 3676*j**3 - 14*j**2 + 14*j**2 + 947*j**3 - 3*j. 4623*j**3 - 3*j - 6 Collect the terms in -928*i**2 - 930*i**2 + 2*i + 2820*i**2 - 971*i**2 - 2*i. -9*i**2 Collect the terms in -7 - 243*y - 247*y + 126*y + 7 + 360*y. -4*y Collect the terms in 12*i + 0*i - 287*i**2 + 29*i - 41*i. -287*i**2 Collect the terms in 1155*c**3 + 243 - 842*c**3 + 241 + 250 - 734. 313*c**3 Collect the terms in 10*d + 10*d + 18*d - d**3 + 325*d + 15*d - 378*d. -d**3 Collect the terms in -29*c + 60*c + 349*c**2 - 31*c. 349*c**2 Collect the terms in -403*g**2 - 400*g**2 - 9 - 410*g**2 - 391*g**2 + 9 + 1601*g**2. -3*g**2 Collect the terms in 179*b + 191*b + 190*b + 188*b - 14 - 940*b + 195*b. 3*b - 14 Collect the terms in -2 - 2 + 3 - 386*o - 58*o**2 + 3. -58*o**2 - 386*o + 2 Collect the terms in 19929*d**3 - 9*d**2 + 20021*d**3 + 6*d**2 - 59890*d**3 + 3*d**2 + 19942*d**3. 2*d**3 Collect the terms in 404511*k + 1414391*k + 18525*k - 220249*k. 1617178*k Collect the terms in -895*j**3 - 917*j**3 + 51 - 51 + 2738*j**3 - 912*j**3. 14*j**3 Collect the terms in 8822 + 2*o**2 + 5225 - 3191 + 5166. 2*o**2 + 16022 Collect the terms in 0*t + 12329*t**3 + 121533*t**3 + 0*t. 133862*t**3 Collect the terms in -814 + 9*w - 18*w - 2994 + 5*w. -4*w - 3808 Collect the terms in 2195 + 2130*s - 1097 - 1100. 2130*s - 2 Collect the terms in 82610*h**3 - 825759*h**3 - 4 + 4. -743149*h**3 Collect the terms in 512 + 732 - 3*j - 2013 + 737. -3*j - 32 Collect the terms in 104239*t**2 + 168*t - 166*t - 104332*t**2. -93*t**2 + 2*t Collect the terms in -129*n + 32*n - 179*n + 238*n + 35*n. -3*n Collect the terms in 851*i + 388*i - 3635*i - 6021*i - i**3. -i**3 - 8417*i Collect the terms in -16668*f**2 + 16668*f**2 - 884582*f**3. -884582*f**3 Collect the terms in 27*c**3 + 33*c**3 + 17*c**3 - 72*c**3 + 16*c**3 - 23. 21*c**3 - 23 Collect the terms in -18*u + 23*u**2 + 652927*u**3 + 18*u - 23*u**2 - 652932*u**3. -5*u**3 Collect the terms in -4504*m**2 - 8445*m**2 + 53420*m**2. 40471*m**2 Collect the terms in 9*t**2 + 297*t**3 + 208*t**3 - 9*t**2 - 715*t**3 + 211*t**3. t**3 Collect the terms in 6*s + 5*s**3 + 6*s + s**2 - 2*s**2 + 9*s**2. 5*s**3 + 8*s**2 + 12*s Collect the terms in -y - 13393411*y**2 + y. -13393411*y**2 Collect the terms in 318275*k - 93239*k + 398690*k + 35499*k. 659225*k Collect the terms in -32777*u - 8763*u + 9934*u - 20201*u. -51807*u Collect the terms in -758*a - 341*a - 957*a + 469*a. -1587*a Collect the terms in -4 - 19635*n + 19635*n - 5620*n**3 + 4. -5620*n**3 Collect the terms in -74574 - 74572 + 1292*f + 149146. 1292*f Collect the terms in 473 + 747 - 77*j + 560 + 81*j. 4*j + 1780 Collect the terms in 12702*n - 37110*n + 12655*n + 11710*n + 2. -43*n + 2 Collect the terms in 112*n**2 + 78*n + 83*n - 222*n + 61*n. 112*n**2 Collect the terms in t**2 - 2167 - 1187 + 5477 - 2123. t**2 Collect the terms in -2 + 2 - 2*w**2 - 130780738*w - w**3 + 130780821*w. -w**3 - 2*w**2 + 83*w Collect the terms in -5511*z + 9432*z - 5987*z. -2066*z Collect the terms in 311*x - 618*x - 788*x**3 - 454*x**3 + 309*x + 241*x**3. -1001*x**3 + 2*x Collect the terms in 12429 - 6233 - 4*n - 6197. -4*n - 1 Collect the terms in -240*i**2 + 42035456*i**3 + 240*i**2. 42035456*i**3 Collect the terms in 361406*d**3 - 722823*d**3 + 361408*d**3. -9*d**3 Collect the terms in 83*a - 80*a + 4384*a**2 - 4416*a**2. -32*a**2 + 3*a Collect the terms in 328*r**3 + 1 + 9*r - 293*r**3 - 225*r + 1. 35*r**3 - 216*r + 2 Collect the terms in -313*w + 213128*w**2 - 213171*w**2 + 313*w. -43*w**2 Collect the terms in -5316441*q**3 + 10632894*q**3 - 5317162*q**3. -709*q**3 Collect the terms in -15398245763252*y**3 + 15398245763256*y**3 + y**2 - y**2. 4*y**3 Collect the terms in 92657*h**2 - 72420*h**2 + 40619*h**2 + 316397*h**2 + 94870*h**2. 472123*h**2 Collect the terms in -165*w**2 - 2*w - 297*w**2 + 235*w**2 + 5 - 6 + 1. -227*w**2 - 2*w Collect the terms in -221401*q + 221422*q - 10*q**3 + 16*q**3. 6*q**3 + 21*q Collect the terms in 276*x + 56*x - 129*x - 780*x. -577*x Collect the terms in -175*a**2 + 8*a**3 + 609*a**2 - 189*a**2 - 245*a**2 + 14*a. 8*a**3 + 14*a Collect the terms in 27 - 374*p**2 + 40 + 45 + 47 - 159. -374*p**2 Collect the terms in 297*j - 133*j - 77*j + 80 - 2*j**2 - 61*j. -2*j**2 + 26*j + 80 Collect the terms in 57*l - 26*l - 22*l + 37*l + 290. 46*l + 290 Collect the terms in -1630*h - 1631*h - 1613*h - 1630*h + 8122*h - 1621*h. -3*h Collect the terms in -7753*m**3 - 2343 + 7761*m**3 + 2*m - 2*m + 2343. 8*m**3 Collect the terms in -5 - 127*i + 5 - 106*i + 346*i - 99*i. 14*i Collect the terms in 349*b**3 + 254*b**3 - 38*b**3 - 20*b**3 - 573*b**3. -28*b**3 Collect the terms in 4*q**3 + 94 + 70 + 79 + 4*q**3 + 66 - 309. 8*q**3 Collect the terms in -764207*u + 764207*u - 7*u**2. -7*u**2 Collect the terms in -441101*y + 1514676*y + 1193036*y - 442836*y. 1823775*y Collect the terms in -96 + m**2 - 160 - 402. m**2 - 658 Collect the terms in 6809*z**2 + 43407 + 4266*z**2 - 43407. 11075*z**2 Collect the terms in -2*p**3 + 29*p**2 + 171804*p - 171804*p. -2*p**3 + 29*p**2 Collect the terms in 133514461866*k - 3*k**2 - 133514461866*k. -3*k**2 Collect the terms in 14339*d - 42792*d + 14328*d + 14131*d. 6*d Collect the terms in -18690*b**2 - 2054357*b + 2054357*b. -18690*b**2 Collect the terms in -18*x**2 + 32*x**2 - 101*x**3 - 16*x**2 + 2*x**2 + 261*x**3. 160*x**3 Collect the terms in -516*g**2 - 539*g**2 - 2051*g**2 - g**3 + 3106*g**2. -g**3 Collect the terms in -3840926*m**2 - 5 + 5 + 723241*m**2. -3117685*m**2 Collect the terms in f**3 - 70935*f + 70935*f - 4457*f**2. f**3 - 4457*f**2 Collect the terms in 1470 - 48*h - 39*h + 87*h - 2*h**2. -2*h**2 + 1470 Collect the terms in -15107*r**2 - 38340*r**2 - 221826*r**2. -275273*r**2 Collect the terms in 2430*t**2 + 760*t**2 + 1390*t**2 + 423*t**2 + 1123*t**2. 6126*t**2 Collect the terms in -148*s + 86*s + 101*s - 8364 + 8364. 39*s Collect the terms in 3000*x + 2173*x - 5295*x. -122*x Collect the terms in -11*h**2 + 1603 + 1578 - 3181. -11*h**2 Collect the terms in -1021*h**3 + 981*h**3 - 2483*h**3. -2523*h**3 Collect the terms in 261*l - 574*l + 781*l**2 + 313*l + 826*l**2. 1607*l**2 Collect the terms in -r - 113*r + 23*r + 29*r + 43*r + 7*r. -12*r Collect the terms in 24*h**2 + 269 - 2*h**3 - 3*h + 295 + 127*h**2. -2*h**3 + 151*h**2 - 3*h + 564 Collect the terms in 6695*z + 3662*z - 4614*z. 5743*z Collect the terms in -182 + 368 - 782*t - 182 + 126*t. -656*t + 4 Collect the terms in 68*d - 33*d - 35*d + 308191*d**2. 308191*d**2 Collect the terms in 923*y - 1809*y + 886*y + 1756*y**3. 1756*y**3 Collect the terms in 3 + 1246975*c**2 + 1134082*c**2 - 3. 2381057*c**2 Collect the terms in -196*q**2 - 67*q**3 + 111*q**2 + q + 263*q**3 - 1. 196*q**3 - 85*q**2 + q - 1 Collect the terms in -1110*f + 4421*f - 1100*f - 1107*f - 1104*f + 494*f**3. 494*f**3 Collect the terms in 21195*g - 10615*g - g**2 - 10570*g. -g**2 + 10*g Collect the terms in -3435 + 31*p + 1126 + 1163 + 1146. 31*p Collect the terms in 4*y - 4*y - 4*y**3 + 5 - 285*y**2 + 429*y**2. -4*y**3 + 144*y**2 + 5 Collect the terms in -428 - 70*u**2 - 125*u**2 + 54 + 374 - 15*u**2. -210*u**2 Collect the terms in -5221048 + 5221048 - 13145*d**3. -13145*d**3 Collect the terms in 136*d - 152 + 0*d**2 + 161 + 3*d**2 + 3*d**2 - 5*d**2. d**2 + 136*d + 9 Collect the terms in 20069*d + 13*d + 1033*d. 21115*d Collect the terms in 432640*u - 215585*u - 217054*u. u Collect the terms in -23174 - 23104 - 34*a**3 + 46278. -34*a**3 Collect the terms in 324 - 1333*j**2 - 547 + 223. -1333*j**2 Collect the terms in -1298141*b**2 + b - b - 1317977*b**2. -2616118*b**2 Collect the terms in -114*h + 627*h + 2*h + 683*h - 137*h + 435*h. 1496*h Collect the terms in -5054*s**2 - 5 + 5110*s**2 + 13 - 8. 56*s**2 Collect the terms in -59 + 85*z**2 - 186 + 3*z - 159*z**2 + 17 + 73*z**2. -z**2 + 3*z - 228 Collect the terms in -649*x**2 + 241*x**2 + 177*x**2
{ "pile_set_name": "DM Mathematics" }
? 1/3 What is prob of picking 2 g when two letters picked without replacement from {g: 14, k: 1}? 13/15 Four letters picked without replacement from {w: 3, t: 6, j: 2, z: 4, l: 3}. What is prob of picking 3 t and 1 j? 2/153 Two letters picked without replacement from yyeyxeexxeyee. What is prob of picking 1 x and 1 e? 3/13 Two letters picked without replacement from {r: 2, j: 4, g: 6}. Give prob of picking 1 j and 1 g. 4/11 Four letters picked without replacement from locoolllorlll. Give prob of picking 4 o. 1/715 What is prob of picking 1 m, 1 y, and 1 b when three letters picked without replacement from bbssysbybbsyymys? 5/112 Four letters picked without replacement from {u: 1, z: 2, c: 4, k: 7, s: 1}. What is prob of picking 1 c, 1 s, 1 k, and 1 u? 4/195 Two letters picked without replacement from ggxxggggggggggxg. Give prob of picking 2 g. 13/20 Two letters picked without replacement from {g: 2, f: 2}. Give prob of picking 1 f and 1 g. 2/3 What is prob of picking 1 a and 2 e when three letters picked without replacement from {a: 2, d: 4, t: 1, e: 2}? 1/42 What is prob of picking 2 v and 1 a when three letters picked without replacement from vavav? 3/5 What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 3, l: 3}? 3/5 Three letters picked without replacement from aanggavgaggavagaaav. What is prob of picking 2 v and 1 a? 9/323 What is prob of picking 2 d when two letters picked without replacement from {d: 7, w: 12}? 7/57 Calculate prob of picking 3 z when three letters picked without replacement from zzkzzzzzkzkz. 21/55 Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {q: 4, m: 6, d: 3}. 30/143 Three letters picked without replacement from xxaxaxaxaxxwaxwx. Give prob of picking 2 x and 1 w. 9/70 What is prob of picking 1 p, 2 t, and 1 e when four letters picked without replacement from gplgtebtgllgegg? 2/1365 Calculate prob of picking 2 p and 1 m when three letters picked without replacement from upjpmpj. 3/35 Calculate prob of picking 4 e when four letters picked without replacement from {q: 7, g: 1, o: 4, c: 1, e: 4}. 1/2380 What is prob of picking 1 y, 1 n, 1 m, and 1 h when four letters picked without replacement from {m: 1, y: 6, h: 3, b: 1, r: 2, n: 2}? 12/455 What is prob of picking 4 w when four letters picked without replacement from spwswspww? 1/126 Three letters picked without replacement from {e: 7, t: 7}. What is prob of picking 2 e and 1 t? 21/52 Calculate prob of picking 1 j and 3 f when four letters picked without replacement from fjjfff. 8/15 Two letters picked without replacement from {a: 2, u: 3, v: 2, i: 5}. Give prob of picking 1 a and 1 u. 1/11 Four letters picked without replacement from {y: 3, m: 2, a: 4, j: 1}. Give prob of picking 1 j, 2 y, and 1 m. 1/35 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 5, i: 8}. 20/39 Three letters picked without replacement from {q: 4, u: 7, a: 2, e: 1, f: 1}. What is prob of picking 2 q and 1 u? 6/65 Two letters picked without replacement from xxxxfxxx. Give prob of picking 1 x and 1 f. 1/4 Three letters picked without replacement from nnanaaknnr. Give prob of picking 3 n. 1/12 What is prob of picking 1 v and 3 z when four letters picked without replacement from vvvzzzvvvvvvzz? 90/1001 Calculate prob of picking 1 s and 2 k when three letters picked without replacement from szjdsjxxkxxkx. 1/143 What is prob of picking 1 l, 1 z, and 1 s when three letters picked without replacement from yzlllszylmslm? 10/143 Three letters picked without replacement from {d: 3, j: 3}. Give prob of picking 3 j. 1/20 Two letters picked without replacement from pplchce. Give prob of picking 1 e and 1 p. 2/21 Calculate prob of picking 2 i when two letters picked without replacement from huhhihhix. 1/36 Two letters picked without replacement from {m: 1, g: 2, u: 10, a: 1, f: 4}. Give prob of picking 1 a and 1 g. 2/153 What is prob of picking 1 t and 1 f when two letters picked without replacement from {x: 3, i: 5, f: 2, t: 2, a: 2, l: 2}? 1/30 Three letters picked without replacement from zzqmmzqqzq. What is prob of picking 1 m and 2 q? 1/10 Calculate prob of picking 2 n and 2 e when four letters picked without replacement from enennn. 2/5 What is prob of picking 1 o, 1 f, 1 l, and 1 z when four letters picked without replacement from {c: 4, z: 2, o: 4, f: 5, l: 1}? 2/91 Four letters picked without replacement from {n: 2, v: 2, y: 3, i: 4}. Give prob of picking 1 v and 3 i. 4/165 Calculate prob of picking 4 h when four letters picked without replacement from {s: 3, h: 9}. 14/55 Three letters picked without replacement from ararxxxa. Give prob of picking 2 x and 1 a. 9/56 Three letters picked without replacement from {c: 4, m: 12, f: 4}. What is prob of picking 2 m and 1 c? 22/95 Four letters picked without replacement from {z: 1, a: 2, o: 4}. Give prob of picking 3 o and 1 z. 4/35 Three letters picked without replacement from {m: 7, o: 12}. Give prob of picking 2 m and 1 o. 84/323 Two letters picked without replacement from {v: 1, n: 1, l: 1, a: 2, u: 1, q: 1}. Give prob of picking 1 q and 1 a. 2/21 Two letters picked without replacement from crujujurc. What is prob of picking 1 u and 1 j? 1/6 What is prob of picking 2 g when two letters picked without replacement from glgggvl? 2/7 What is prob of picking 2 q when two letters picked without replacement from jqbbnqqbnb? 1/15 Four letters picked without replacement from {g: 4, z: 2}. What is prob of picking 2 z and 2 g? 2/5 Four letters picked without replacement from {h: 6, f: 2, s: 11}. Give prob of picking 1 f, 2 h, and 1 s. 55/646 Two letters picked without replacement from {v: 1, i: 1, x: 1}. What is prob of picking 1 v and 1 i? 1/3 Four letters picked without replacement from {r: 5, v: 7, b: 1, o: 2, n: 1}. Give prob of picking 1 n, 1 r, and 2 o. 1/364 What is prob of picking 1 a and 1 l when two letters picked without replacement from clclclacllclllc? 8/105 What is prob of picking 1 h and 1 n when two letters picked without replacement from azffbnh? 1/21 Two letters picked without replacement from {x: 3, t: 5, w: 4, y: 4}. Give prob of picking 2 t. 1/12 What is prob of picking 1 p and 1 k when two letters picked without replacement from {u: 3, k: 1, p: 5, e: 1, o: 3}? 5/78 Three letters picked without replacement from ccjcjjcccccdjjcjccc. Give prob of picking 3 j. 20/969 What is prob of picking 1 s and 1 h when two letters picked without replacement from hhhhhohsh? 7/36 What is prob of picking 2 a when two letters picked without replacement from kaazz? 1/10 Four letters picked without replacement from xxxxxpxppxxppppppx. Give prob of picking 2 p and 2 x. 36/85 Calculate prob of picking 3 w when three letters picked without replacement from www. 1 Calculate prob of picking 3 w when three letters picked without replacement from nnwqqqwwqwwwqqnwnnq. 35/969 What is prob of picking 1 i and 2 b when three letters picked without replacement from {b: 7, i: 3}? 21/40 Three letters picked without replacement from {t: 1, w: 1, d: 2, j: 1}. What is prob of picking 1 d, 1 j, and 1 t? 1/5 Two letters picked without replacement from llljhxxhhl. What is prob of picking 1 j and 1 h? 1/15 Calculate prob of picking 2 g when two letters picked without replacement from {k: 14, g: 4}. 2/51 What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 3, i: 1, y: 2, v: 1}? 3/35 Three letters picked without replacement from nknendfen. Give prob of picking 1 e, 1 n, and 1 k. 2/21 Calculate prob of picking 1 l and 1 p when two letters picked without replacement from lnpna. 1/10 Calculate prob of picking 1 n, 1 x, and 2 g when four letters picked without replacement from gtxxtxxgtxnxgtxnxx. 3/170 Two letters picked without replacement from qqrqrqq. What is prob of picking 2 r? 1/21 Calculate prob of picking 1 n, 2 q, and 1 e when four letters picked without replacement from cccpqeenqcwcencceq. 2/255 Three letters picked without replacement from {f: 1, p: 4, e: 8, b: 6, v: 1}. What is prob of picking 1 f, 1 v, and 1 b? 1/190 What is prob of picking 1 i and 1 l when two letters picked without replacement from {p: 3, b: 3, d: 4,
{ "pile_set_name": "DM Mathematics" }
- 8641 - 8639)*(-3 + 3 - 2*q**3) as u + y*q**2 + b*q**3 + s*q + o*q**4 and give o. -9126 Express -8343*t**3 + 2784*t**3 - 1 - 32*t + 2779*t**3 + 2783*t**3 + t**2 as g + k*t + i*t**2 + d*t**3 and give k. -32 Rearrange -11444*p**2 - 171*p**3 + 11444*p**2 + (27 + 7*p - 27)*(p**2 + p**2 - 4*p**2) to v*p**2 + h*p + i + l*p**3 and give l. -185 Express 9 + 9 - 3*y**4 - 32 + 13 - 2*y**3 - 8*y**2 + 3 - 157*y in the form p*y + m*y**2 + k + c*y**4 + b*y**3 and give b. -2 Express -682*f + 261*f + f**2 + 568 + 208*f + 207*f as x + n*f**2 + g*f and give x. 568 Rearrange (-c + c - c + (-1 - 4 + 3)*(-2*c - 46*c + 262*c))*(-6*c**3 - 144*c + 144*c) to the form k*c**3 + r*c + d + y*c**2 + w*c**4 and give w. 2574 Rearrange -2774 + 4132 + 2*o**2 - 4185 + o to the form x*o + y + v*o**2 and give v. 2 Express (0*i + 3*i + 2*i)*(2*i + 0*i - 18*i)*(7 - 13 - 24) in the form u*i**2 + m + q*i and give m. 0 Rearrange -158*y**2 - 31*y - 23*y - 23*y + 2 + 87*y - 7*y**2 + 3*y**3 to the form d*y**3 + a + z*y**2 + c*y and give d. 3 Rearrange 1328*q**2 + 332*q**2 - 850 + 1668*q**2 + 850 to b*q**2 + l + v*q and give b. 3328 Rearrange 0*i - 20*i - 4 - 24*i - 106*i**2 + 47*i to the form k*i**2 + d + l*i and give d. -4 Express 5834*c - 3004*c + 6878*c - 276*c in the form u + y*c and give u. 0 Express (-4*k + 4*k + k)*(2 - 2 + 2*k) - 549*k**2 + 1130*k**2 - 533*k**2 in the form t*k**2 + g + u*k and give t. 50 Express 8*q**3 - 196*q**4 - 182*q**2 + 3*q**3 + 183*q**2 - 5*q**3 as k*q**4 + y*q + s + j*q**3 + d*q**2 and give k. -196 Express -199*k - 463*k + 671*k - 135*k - 415*k in the form j + x*k and give x. -541 Express 1 + 964*d - 544*d - 4 + 5 - d**2 + 1074*d in the form v*d + w*d**2 + a and give w. -1 Rearrange (2 + 0 - 4)*(18651*f**3 - 9331*f**3 - 13860*f**3) + 3*f**3 - 4*f**3 - f**3 - 7*f**3 + 2 - 2 to v*f + d*f**2 + m*f**3 + a and give m. 9071 Express -249 + 3*b**2 + 2*b**4 + 3*b**3 - 2*b + 117 + 97 as p*b + t + g*b**4 + k*b**3 + m*b**2 and give k. 3 Express -25 + 4*x**3 - 6*x**3 - 16 + 4*x + 28 - x**3 - x**4 in the form c*x**3 + q*x + a*x**2 + g*x**4 + l and give l. -13 Rearrange ((-8 - 3 - 5)*(-6*b + 2*b + 2*b) - 2 + 0*b + b - 2*b)*(-350*b + 9251 - 9251) to u*b + a + y*b**2 and give y. -10850 Express -5708*k**2 + 3931*k**2 + 10379*k**2 + 9487*k**2 + 563*k**2 as u + z*k**2 + j*k and give z. 18652 Express 475*u + 3166*u + 402*u as b*u + w and give b. 4043 Rearrange -741 + 434 + 307 - 1116*s to p + d*s and give d. -1116 Rearrange 6 - 7*g**4 + 0*g**4 + 5*g**4 - 7 + 3*g**2 + g**3 to the form k*g**3 + q*g**4 + l*g + n*g**2 + c and give c. -1 Express -161 + 88 + 75 - 440*l**2 as i*l**2 + k*l + s and give s. 2 Rearrange (0 - 2 + 1)*(-6231 + 16894 - 8407)*(-5*d + 2*d + d) to k*d + s and give k. 4512 Express 114*z**2 + 2*z - 858*z**2 + 122*z**2 - 3*z - 476*z**2 in the form m*z**2 + f*z + d and give m. -1098 Express ((-2*a + 5*a - 2*a)*(-3 + 1 + 0) - 3 + 3 - a)*(20 - 21 + 11*a - 31*a)*(-284 - 5 - 21) in the form g + i*a**2 + m*a and give i. -18600 Express (-6*c - 16*c - 4*c)*(-5*c - 9*c + 3*c)*(-1 - 6 - 2 - 1)*(2 - 1 + 0) in the form w*c + n*c**2 + i and give n. -2860 Rearrange (-3*p - p - 2*p)*(-2 + 5 - 4) + 0*p - 2*p - p + (-3 + 3 - p)*(1 - 4 - 1) + (-6 + 19 + 0)*(-2*p - 2*p + p) to k*p + i and give k. -32 Rearrange -48*o**2 - 31*o**2 + 11 + 121*o**2 - 28*o**2 to the form z*o + c + f*o**2 and give c. 11 Express (-2 + 0 + 4)*(7*l - 48 + 48)*(1 - 2 + 0)*(11*l**3 - 49*l**3 - 113*l**3) in the form v*l**4 + x*l + a + t*l**2 + i*l**3 and give v. 2114 Rearrange t + 4*t**4 - 4*t + t**3 + 2 - 1941*t**2 + 2245*t**2 to the form z*t**3 + c*t**4 + i + b*t + p*t**2 and give p. 304 Rearrange -3*g**2 + 2*g**2 - 18 + 23 + 6*g**3 + 9 to the form h*g**2 + t + o*g + j*g**3 and give j. 6 Rearrange (-19353*o**2 + 2 + 272*o + 19355*o**2 + 166*o)*(39*o - 9 + 9) to x*o + f*o**3 + h*o**2 + q and give f. 78 Rearrange 2*k**3 - 159708*k + 159691*k - 34*k**2 + 10*k**2 to p*k**3 + h + q*k + z*k**2 and give p. 2 Rearrange -2682*d - 562*d + 1636*d to n + x*d and give n. 0 Express (4 - 3 - 7)*(-1 + 4 - 4)*(-7 + 6*w + 7) - 820 + 820 + 3*w as b*w + h and give b. 39 Express 48*f - 62 + 55 + 274*f**2 - 270*f**2 + 25*f + 19*f as s*f + w + o*f**2 and give w. -7 Rearrange -3 + 54*z**4 + 52*z**4 - 68*z + z**3 - 194*z + 61*z**4 - 169*z**4 to y*z**4 + c*z**3 + g + t*z**2 + r*z and give y. -2 Rearrange 7*y**2 - 7*y**2 + 3*y**2 + 2*y - 9*y**2 + 7 to q*y**2 + j*y + p and give q. -6 Rearrange (16*y + 2*y + 9*y)*(-1148 + 31*y + 1148)*((-1 + 1 - 2)*(2 - 2 + 2) + 4 - 2 + 1 - 4 - 1 + 2) to x*y**2 + v*y + h and give x. -3348 Express -887*m + 214 + 887*m + 137 + 155 - 2*m**2 in the form z + g*m + f*m**2 and give g. 0 Express (-664*c + 1432*c - 637*c)*(9*c - 8*c - 4*c)*(2 + 2 - 1)*(-2*c + 3*c + 0*c) in the form q*c**2 + a + h*c + i*c**3 and give i. -1179 Rearrange (-61 - 38 + 44)*(-53*q + 52*q - 40*q) + 0 + 0 + 2 + q to m*q + i and give m. 2256 Express 6067*q + 42 + 11 - 53 in the form y + u*q and give u. 6067 Rearrange (16*m - 12*m + 24*m + (3*m - m + 0*m)*(-1 + 2 - 3) + (1 + 1 - 3)*(4*m - 5*m - m))*(1 - 2 - 4)*(21 - 27 - 48) to the form r*m + y and give r. 7020 Express (-q + 2*q - 2 + 1)*(-10*q - q + 5*q)*(6*q - 3*q + 0*q)*((1 - 4 + 4)*(-3 + 3 + 10) + 2 - 4 - 5) as h + x*q**2 + w*q + b*q**3 and give h. 0 Express 170*p - 13*p**4 - 3*p**2 + 2*p**3 - 378*p + 4*p**2 + 236*p as g*p**2 + m*p**4 + o*p**3 + t + n*p and give n. 28 Rearrange -1596 - 1405*j - 1403*j - 659 - j**2 + 2808*j to v*j + p*j**2 + g and give p. -1 Rearrange (-3*w**3 - w**2 + 1 - 1)*(-1372 - 626 - 249) to the form d + z*w**3 + h*w**2 + r*w and give z. 6741 Express -36*m**3 - 3*m**4 + 1506*m**2 - 3015*m**2 + 1509*m**2 - 1 - 2*m + 142*m**3 as v*m**3 + j*m**2 + f + i*m + b*m**4 and give b. -3 Rearrange (-c - 2 + 2)*(0 + 5 - 3 - 3 + 6 + 8 + (-1 + 0 + 2)*(-4 + 3 + 2) - 5 + 2 + 2 + 1 - 1 + 1 + (2 - 2 - 1)*(-6 + 3 + 2) + 1 + 1 - 3) to p + v*c and give v. -14 Rearrange (1 + 2*g**2 - 1)*(-1 + 1 - 5)*(-156*g + 1877 - 1877) to the form x*g + o + z*g**2 + c*g**3 and give c. 1560 Express (14 - 86 + 41)*(-202*g - 288*g + 1 + 209*g) in the form c + q*g and give q. 8711 Rearrange 3*m - 44001*m**4 + m**2 - 3*m**3 + 5 + m - 2 + 44000*m**4 to l*m**2 + j*m**4 + a + u*m**3 + p*m and give l. 1 Rearrange (1 + 1 + 1)*(9*i**4 + 760*i**4 - 21*i**4 - 3*i) to o*i + w + b*i**2 + j*i**3 + q*i**4 and give j. 0 Express (0*i + 2*i - i)*(1 - 1 + 8)*(-29 + 39 + 69 + 30) in the form l + d*i and give d. 872 Express 242 - 248 - 69*s - s**4 + 4*s**2 + s**2 + 0*s**2 - 7*s**2 + 2*s**3 as k + y*s + b*s**4 + x*s**3 + a*s**2 and give a. -2 Rearrange -69 - 40*b + 26*b + 10*b to p*b + z and give z. -69 Rearrange -17*p**2 + 630*p**3 + 1138*p + 17*p**2 - 2 - 628*p**3 to f + s*p**2 + g*p + y*p**3 and give g. 1138 Rearrange -5 + 1 - 2*l**2 + 282*l + 2*l**4 + 2 + 21*l**3 - 281*l to the form b + q*l**3 + j*l**4 + x*l + r*l**2 and give r. -2 Rearrange (2 - 2 + 2*j)*(-16511 + 7999 - 6569 - 16036 - 2702 - 17393) to the form p + y*j and give y. -102424 Rearrange 35*w**3 - 2741*w**4 + 2742*w**4 - 71*w**3 + 14*w**2 + 31*w**3 + 1 + 4*w to the form j*w**2 + x*w**3 + u + n*w + a*w**4 and give j. 14 Express 180*f**2 + f + 2*f**3 + 165*f**2 + f**4 - 351*f**2 as z*f + w*f**2 + j*f**4 + c*f**3 + m and give w. -6 Express (1 + 2 - 8)*(-1532 - 1257 + 830 - 3348)*(-2*t - t + 5*t) as x + c*t and give c. 53070 Express -523*z + 687*z - 656*z in the form k*z + y and give k. -492 Rearrange 2*z**2 - 13*z**2 + 2 - 19*z**2 - 8*z**2 + 23*z**2 + 7*z to p*z**2 + x*z + q and give p. -15 Express 103*w - 265*w - 116*w - 315*w as l*w + j and give l. -593 Rearrange -1201020 + 4961*a + 1201020 to the form y*a + p and give y. 4961 Express 4 - 4 + t + 0 + 2*t + 0 + (-4*t + 0*t + 3*t)*(2 + 4 - 4) - 2*t + 2*t + t + 140*t + 333*t + 73*t + 47*t as w*t + n and give w. 595 Express (7 - 3 + 1)*(-222*a**3 - 30692*a**2 + 30692*a**2) + (4*a - 2*a - a)*(0*a**2 + a**2 + a**2) + 2 + a**3 - 2 as s + l*a**3 + m*a**2 + h*a and give s. 0 Express (0 + 2 + 362*m - 376*m)*(4*m**3 - 12*m**3 + 22*m**3 + (0*m + 0*m + 4*m)*(2*m**2 + 2*m - 2*m)) in the form h*m**4 + n*m**2 + c*m + f*m**3 + r and give h. -308 Express (4*k - k - k)*(2799*k**2 + 844384 - 844384) as g*k + h*k**2 + q*k**3 + w and give q. 5598 Rearrange 25468*x + 7192*x + 35356*x - 12359*x + 3630*x + (x + x - 4*x)*(3 + 2
{ "pile_set_name": "DM Mathematics" }
square root of 7811 to the nearest integer? 88 What is the square root of 17051 to the nearest integer? 131 What is the third root of 69611 to the nearest integer? 41 What is 243 to the power of 1/2, to the nearest integer? 16 What is 10294 to the power of 1/9, to the nearest integer? 3 What is the tenth root of 63546 to the nearest integer? 3 What is 13962 to the power of 1/2, to the nearest integer? 118 What is 2175 to the power of 1/5, to the nearest integer? 5 What is the third root of 12872 to the nearest integer? 23 What is 42905 to the power of 1/3, to the nearest integer? 35 What is the third root of 17531 to the nearest integer? 26 What is the eighth root of 22144 to the nearest integer? 3 What is 4850 to the power of 1/2, to the nearest integer? 70 What is 26422 to the power of 1/2, to the nearest integer? 163 What is the square root of 5109 to the nearest integer? 71 What is 4372 to the power of 1/7, to the nearest integer? 3 What is 2841 to the power of 1/3, to the nearest integer? 14 What is the square root of 22640 to the nearest integer? 150 What is 12322 to the power of 1/2, to the nearest integer? 111 What is 33096 to the power of 1/3, to the nearest integer? 32 What is the sixth root of 1083 to the nearest integer? 3 What is the cube root of 23865 to the nearest integer? 29 What is 15331 to the power of 1/9, to the nearest integer? 3 What is the ninth root of 6608 to the nearest integer? 3 What is the cube root of 70164 to the nearest integer? 41 What is 961 to the power of 1/5, to the nearest integer? 4 What is 2622 to the power of 1/6, to the nearest integer? 4 What is 5157 to the power of 1/9, to the nearest integer? 3 What is 536 to the power of 1/2, to the nearest integer? 23 What is the third root of 1233 to the nearest integer? 11 What is the third root of 4933 to the nearest integer? 17 What is the fifth root of 2379 to the nearest integer? 5 What is 11601 to the power of 1/3, to the nearest integer? 23 What is the square root of 877 to the nearest integer? 30 What is the third root of 11204 to the nearest integer? 22 What is 9397 to the power of 1/2, to the nearest integer? 97 What is 29241 to the power of 1/2, to the nearest integer? 171 What is 3715 to the power of 1/9, to the nearest integer? 2 What is 107 to the power of 1/3, to the nearest integer? 5 What is 22939 to the power of 1/3, to the nearest integer? 28 What is 106515 to the power of 1/5, to the nearest integer? 10 What is the fifth root of 40138 to the nearest integer? 8 What is 2094 to the power of 1/2, to the nearest integer? 46 What is the third root of 862 to the nearest integer? 10 What is the sixth root of 26726 to the nearest integer? 5 What is 34 to the power of 1/6, to the nearest integer? 2 What is 207 to the power of 1/2, to the nearest integer? 14 What is 32058 to the power of 1/2, to the nearest integer? 179 What is the eighth root of 2737 to the nearest integer? 3 What is 1626 to the power of 1/2, to the nearest integer? 40 What is 20690 to the power of 1/3, to the nearest integer? 27 What is the cube root of 17634 to the nearest integer? 26 What is the ninth root of 2284 to the nearest integer? 2 What is the cube root of 48445 to the nearest integer? 36 What is the cube root of 31100 to the nearest integer? 31 What is 1980 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 10100 to the nearest integer? 3 What is 10700 to the power of 1/3, to the nearest integer? 22 What is the cube root of 1100 to the nearest integer? 10 What is the cube root of 1004 to the nearest integer? 10 What is 1149 to the power of 1/2, to the nearest integer? 34 What is the sixth root of 2390 to the nearest integer? 4 What is the square root of 1283 to the nearest integer? 36 What is the square root of 16168 to the nearest integer? 127 What is the fifth root of 22831 to the nearest integer? 7 What is 200039 to the power of 1/2, to the nearest integer? 447 What is 41736 to the power of 1/10, to the nearest integer? 3 What is 2035 to the power of 1/2, to the nearest integer? 45 What is 2210 to the power of 1/3, to the nearest integer? 13 What is the eighth root of 2541 to the nearest integer? 3 What is 19022 to the power of 1/2, to the nearest integer? 138 What is the cube root of 47767 to the nearest integer? 36 What is the sixth root of 670 to the nearest integer? 3 What is 17200 to the power of 1/2, to the nearest integer? 131 What is the third root of 23365 to the nearest integer? 29 What is 286 to the power of 1/8, to the nearest integer? 2 What is 4642 to the power of 1/5, to the nearest integer? 5 What is the third root of 122 to the nearest integer? 5 What is 2810 to the power of 1/2, to the nearest integer? 53 What is the third root of 2605 to the nearest integer? 14 What is the third root of 31469 to the nearest integer? 32 What is 506 to the power of 1/3, to the nearest integer? 8 What is 52531 to the power of 1/7, to the nearest integer? 5 What is 5796 to the power of 1/6, to the nearest integer? 4 What is the third root of 1716 to the nearest integer? 12 What is the cube root of 472 to the nearest integer? 8 What is the tenth root of 243 to the nearest integer? 2 What is the third root of 7785 to the nearest integer? 20 What is the square root of 1320 to the nearest integer? 36 What is the fifth root of 11271 to the nearest integer? 6 What is the third root of 10690 to the nearest integer? 22 What is 2390 to the power of 1/2, to the nearest integer? 49 What is the cube root of 42668 to the nearest integer? 35 What is the cube root of 97423 to the nearest integer? 46 What is the fourth root of 37333 to the nearest integer? 14 What is 3125 to the power of 1/3, to the nearest integer? 15 What is the seventh root of 1155 to the nearest integer? 3 What is the square root of 93287 to the nearest integer? 305 What is 1987 to the power of 1/7, to the nearest integer? 3 What is the fourth root of 6789 to the nearest integer? 9 What is 12386 to the power of 1/9, to the nearest integer? 3 What is the third root of 17469 to the nearest integer? 26 What is the sixth root of 2364 to the nearest integer? 4 What is the ninth root of 61181 to the nearest integer? 3 What is 2021 to the power of 1/4, to the nearest integer? 7 What is 39129 to the power of 1/4, to the nearest integer? 14 What is the sixth root of 1341 to the nearest integer? 3 What is the cube root of 6891 to the nearest integer? 19 What is the fourth root of 57317 to the nearest integer? 15 What is the square root of 5709 to the nearest integer? 76 What is the square root of 10133 to the nearest integer? 101 What is 234 to the power of 1/5, to the nearest integer? 3 What is the square root of 3126 to the nearest integer? 56 What is 1698 to the power of 1/10, to the nearest integer? 2 What is 1172 to the power of 1/2, to the nearest integer? 34 What is the square root of 127 to the nearest integer? 11 What is the sixth root of 1532 to the nearest integer? 3 What is the fourth root of 21198 to the nearest integer? 12 What is 18482 to the power of 1/2, to the nearest integer? 136 What is the tenth root of 30068 to the nearest integer? 3 What is 3871 to the power of 1/4, to the nearest integer? 8 What is 5433 to the power of 1/5, to the nearest integer? 6 What is the cube root of 3055 to the nearest integer? 15 What is the seventh root of 45322 to the nearest integer? 5 What is the third root of 1788 to the nearest integer? 12 What is the square root of 20775 to the nearest integer? 144 What is the fifth root of 7683 to the nearest integer? 6 What is the fifth root of 2685 to the nearest integer? 5 What is the cube root of 5272 to the nearest integer? 17 What is the seventh root of 1512 to the nearest integer? 3 What is the cube root of 33385 to the nearest integer? 32 What is 7969 to the power of 1/2, to the nearest integer? 89 What is the cube root of 14418 to the nearest integer? 24 What is the sixth root of 5110 to the nearest integer? 4 What is 10992 to the power of 1/3, to the nearest integer? 22 What is the tenth root of 1410 to the nearest integer? 2 What is the third root of 6066 to the nearest integer? 18 What is 49282 to the power of 1/2, to the nearest integer? 222 What
{ "pile_set_name": "DM Mathematics" }
10)? 8 Let l = 8 - 7. What is the units digit of -10*(-3)/6 - l? 4 Suppose 2*y = y + 48. What is the tens digit of y? 4 Let h(d) = d**3 + 8*d**2 - 8*d + 6. Let s be h(-9). Let j(y) be the second derivative of y**4/12 - y**3/6 - 2*y**2 + y. What is the units digit of j(s)? 8 Let f = -3 + 12. What is the units digit of f? 9 What is the tens digit of (-4)/18 - (4 + (-4220)/36)? 1 Suppose -3*n = l - 2*l - 552, 3 = -l. What is the hundreds digit of n? 1 Let c(b) be the second derivative of b**4/6 - 2*b**3/3 - 3*b. Let r = -7 - -11. What is the tens digit of c(r)? 1 Suppose 4*x = 3*l - 6, -4*l - 2*x + 2 = -6. Suppose 2*y = -2*z + 104, -l*z + 0*z - 232 = -5*y. What is the units digit of y? 8 Let l = -424 - -748. What is the hundreds digit of l? 3 Let x = 0 + 8. What is the units digit of x? 8 Let t(h) = -h**2 - 7*h + 10. Let k be t(-8). Suppose 2 = -5*s - 8. What is the units digit of 22*k*s/(-8)? 1 Suppose 3*g - 180 = -4*i + g, -4*g - 156 = -4*i. What is the units digit of i? 3 Suppose 0*y - 46 = -4*y + 2*t, 0 = y - 4*t + 6. Suppose 2*x + y = 44. What is the tens digit of x? 1 Suppose 0 = -4*q - 2*x + 24, 0 = -0*q + 5*q + 4*x - 30. Suppose 0 = -5*g - 5*z + 55, -5*g = -q*g + 2*z + 5. What is the units digit of g? 9 Suppose 0 = -2*q + q + 31. What is the tens digit of q? 3 Let g(n) = -3*n**3 + n - 1. Suppose j + 8 = 3*f, 0*f + 10 = 5*f. What is the units digit of g(j)? 1 Suppose 3 = -4*d + 5*q, -2*d - 2*q = -3*d - 3. Let f = 5 + d. What is the units digit of f? 8 Let o(v) be the second derivative of 8*v**4/3 + v**3/3 + v**2/2 + v. What is the tens digit of o(-1)? 3 Suppose -5*g = -18 + 68. Let t(u) = -3*u**2 - u - 1. Let q be t(-1). Let z = q - g. What is the units digit of z? 7 Let b(v) = v**3 + 5*v**2 + 5*v + 2. Let w be b(-4). Let d be ((-2)/(-3))/(w/(-93)). Suppose -4*s + d = 3*o, -s = -o - 2*s + 9. What is the units digit of o? 5 Let n = -268 + 558. What is the hundreds digit of n? 2 Suppose 16*a - 12*a - 328 = 0. What is the tens digit of a? 8 Suppose -2*j = -2*o + 15 + 151, -160 = -2*o + 4*j. Let u = 156 - o. Suppose z = -4*z + u. What is the tens digit of z? 1 Let u(i) = i**3 - 9*i**2 - 10*i + 13. Let x(r) = 2*r**2 + 2*r - 2. Let m be x(2). What is the units digit of u(m)? 3 What is the units digit of 879/(-6)*(0 - 2) - 3? 0 Suppose -5*y + 176 = h - 4*h, -4*h = -2*y + 62. What is the tens digit of y? 3 Suppose -3*k + 48 = 2*k - 2*z, k = -2*z + 12. What is the units digit of k? 0 Let g = 17 - 12. Suppose 0 = -3*b - 16 - g. Let l = b + 15. What is the units digit of l? 8 Suppose 23 = 2*g + 15. Let c(s) = 0 + 1 + 2*s**2 - 4*s - s. What is the tens digit of c(g)? 1 Let v(w) = 3*w**2 + w - 5. Suppose -l + 0 - 4 = 0. What is the tens digit of v(l)? 3 Let g(i) = 2*i**2 - 2*i. Suppose -3*z - 9 = -x + 1, 0 = -z - 4*x + 14. What is the units digit of g(z)? 2 Suppose 0 = 3*p - 6*p + 4*j - 36, -5*j + 55 = -5*p. Let d = p - -29. What is the units digit of d? 1 Let x be (0 + -4)/(-2 + 0). Let d(r) = 0*r**3 + r**3 + 4*r + 5 - 6 + 6*r**x. What is the tens digit of d(-4)? 1 Suppose 5*d + 7 = 177. What is the units digit of d? 4 Let f be (1 - 0)/(6/12). Let s(u) = 2*u**3 - 2*u. What is the tens digit of s(f)? 1 What is the tens digit of (-4)/(-2) + 61 + -4? 5 Suppose 0 = -3*l + l + 10. Let d = -2 + l. Suppose 0 = 5*f + t - 11, f + d*t + 8 = -1. What is the units digit of f? 3 Suppose 0 = 2*o - 110 - 106. What is the hundreds digit of o? 1 Suppose 3*t - 3 = -0*t. What is the units digit of 332/6 - t/3? 5 Let u = 3 - 15. What is the units digit of (4/(-6))/(2/u)? 4 Suppose 32 = -4*y + 5*k - 9, 2*y = -5*k + 17. What is the tens digit of (-231)/(-12) + 1/y? 1 Suppose -26 = -4*x - 6. Let h(z) = -z**2 + 5*z - 2. Let r be h(3). Suppose 5*f - r*l = 51, 3*f - 60 = -2*f - x*l. What is the units digit of f? 1 Suppose 2*g + 2*g - 840 = 0. What is the hundreds digit of g? 2 Suppose -5*v + 298 + 114 = 2*y, 4*y = -v + 68. What is the tens digit of v? 8 Suppose -4*a = -5*i + 23, -2*i = 2*i + a - 10. What is the units digit of 2/i + (-121)/(-3)? 1 Let o(l) = 2*l**2 - 6*l - 1. What is the tens digit of o(6)? 3 Let x = 9 + -4. Suppose -q - q - x*u + 34 = 0, -4*u = -q + 4. What is the units digit of 2/q + 51/18? 3 Let a(i) = -21*i - 12. Let r be a(6). What is the units digit of r/(-4) - 2/4? 4 Suppose 0 = r - 2*f - 51, -r + 51 = 4*f + 12. Suppose -v + 27 = h + 4, 3*v - r = -2*h. What is the units digit of h? 2 Let b = 57 + -80. Suppose 5*q + 228 = 2*l - 4*l, l - 172 = 4*q. Let v = b - q. What is the tens digit of v? 2 What is the units digit of (-22)/(((-10)/1)/5)? 1 Let k be (-4)/(-12) - (-98)/(-6). What is the units digit of (5/4)/((-4)/k)? 5 What is the hundreds digit of 196 - 7/((-35)/25)? 2 Let a(d) = -d**3 - 9*d**2 - d - 5. Let v = 1 + -10. Let f be a(v). What is the units digit of (-1)/((f/(-2))/4)? 2 Suppose -2*m - 2*m = -36. Let k be 110/m + 2/(-9). Suppose 0 = 3*u - 12, -k = -4*y - 5*u + 20. What is the units digit of y? 3 What is the tens digit of ((-304)/(-6))/((-32)/(-48))? 7 Let f = 22 - -2. Let k = -10 + f. What is the tens digit of k? 1 Let f(t) = t - 4. Let w be f(7). Suppose 5*s - 30 = -n, -n + s + 9 = -3. Suppose -h = 4*v + n, v + 9 = 2*h + w*h. What is the units digit of h? 1 Let y be 8/(-12)*30/(-4). Suppose -y*r + f = 3*f - 13, -2*r = f - 6. What is the units digit of r? 1 Let m(r) = -r**3 + r**2 - 2*r - 3. Suppose -a = a - 8. Suppose -3 = a*l + 5. What is the units digit of m(l)? 3 Let n = 8 + 10. Suppose -t + n + 17 = 0. What is the tens digit of t? 3 Let p = 15 - -18. What is the units digit of p? 3 What is the hundreds digit of 1*(7 - 8)*(-151 + 1)? 1 Let n(p) = p**3 + 6*p**2 + 6*p + 7. Let u be n(-5). Suppose u*w - 6*w = -8. What is the units digit of 6 + 1/(w/4)? 8 Let z = 20 + -13. Let n be (-4)/14 + (-32)/(-14). Suppose p = n*p - z. What is the units digit of p? 7 Let t be 8/(-28) + (-51)/(-7). Let c be (0 - 201)*t/(-21). Suppose 4*r + 19 - c = 0. What is the tens digit of r? 1 Let o(i) be the second derivative of i**5/20 - i**4/3 - i**3/2 - 7*i**2/2 + i. What is the units digit of o(5)? 3 What is the units digit of (-1)/(1/(0 + -25))? 5 Let v = 15 + -11. Let c = -2 + v. What is the tens digit of 3 + ((-22)/c)/(-1)? 1 Let k = -5 + 5. Suppose k = -4*b - 4*l + 32, l - 58 = -5*b + 2*l. What is the tens digit of b? 1 What is the units digit of 1 - 14/12 - 727/(-6)? 1 Let s = 5 - 3. Suppose -f + 8 = -s*f. Let h = 15 + f. What is the units digit of h? 7 Let y(r) = r**2 - r. Suppose 4 = 2*w - 2. Let v be y(w). What is the units digit of (-4 + 3)*v/(-2)? 3 What is the units digit of 6*(0 + -2 + 140/6)? 8 Let f(b) = -b**3 + 7*b**2 - 9*b. Let x be f(6). Let s be (-68)/18 - (-4)/x. What is the units digit of s/18 - (-20)/9? 2 Let x(a) = a**2 - 11*a - 13. What is the tens digit of x(16)? 6 Let g = -49 - -83. Let h = g + -23. What is the units digit of h? 1 Let p be (1 - 1)/((-4)/4). Suppose 0*v + 5*v + 20 = p. What is the units digit of 3/(-2)*v/3? 2 Suppose -o - 24 = -5*o. Let j = o - -8. Suppose -3*p + 7 = t, 0 = -4*t + 6*t - 4*p - j. What is the units digit of t? 7 Let u = -9 + 58. What is the tens digit of u? 4 Suppose -2*t = 6*t - 416. What is the units digit of t? 2 Suppose 2*u = v + 304, -v - 608 = 2*u - 6*u. What is the units digit of u? 2 Suppose r + 0 = a - 5, 9 = -3*r. Suppose -3*k = -0*u - 2*u - 2, -5*k + 2 = -2*u. Suppose k = -l + a*l - 8. What is the units digit of l? 8 Let w(o) = 2*o - 2. Let x(f) = f**3 - 9*f**2 + 8*f + 6. Let b be x(8). What is the tens digit of w(b)? 1 Let y(j) = j**2 - 8*j - 15. What is the hundreds digit of y(17)? 1 Let c = 5 - 0. Suppose i - c*l + 15 = 6*i, 3*i - 2*l - 14 = 0. What is the units digit of i? 4 Let o = -75 - -30. Let t = o + 73. What is the units digit of t? 8 Let w = -240 + 343. What is the units digit of w? 3 Let j be 1 + -2 + -1 + 7. Suppose j*p = -2*y + 140, 2*p = 7*p - 2*y - 160. Let n = p + -17. What is the units digit of n? 3 Suppose 0 = -j + 5*q + 26, -4*q - 67 = -3*j - 0*q. Let c = 55 - j. What is the tens digit of c? 3 Suppose 10 = 4*v + 2*a, 0*v - v - 3*a = -15. Suppose -5*u + 8 + 47 = v. Suppose 7*f - 4*s = 2*f + u, 0 = 2*s - 2. What is the units digit of f? 3 Let j(k) = k**2 - 7*k. Let q be j(3). Let y = 9 - q. Suppose -6*p - t = -4*p - 3, -5*p + 2*t + y = 0. What is the units digit of p? 3 Let
{ "pile_set_name": "DM Mathematics" }
aller: 21237 or 276078/13? 276078/13 Is 6240 equal to 2/5? False Which is greater: 7015 or 44? 7015 Which is bigger: 992/785 or 1? 992/785 Which is greater: -3698 or -3700? -3698 Is -10598 != 3? True Which is bigger: -602 or -478? -478 Is 191/405 greater than -1? True Are 4362 and 33 equal? False Is -27067 equal to -27061? False Is 1386/43 < 33? True Which is smaller: 2149 or 2124? 2124 Is 2894 >= 2896? False Which is smaller: 109 or 1741/16? 1741/16 Are -363/419 and -1 nonequal? True Which is smaller: 4406/3 or 1469? 4406/3 Is -15/7 bigger than 23/49? False Is 1/482004 bigger than 1? False Which is smaller: 1847 or 1932? 1847 Which is bigger: 61 or -4830? 61 Is 2/27421 at least as big as 1? False Is -967927 at least -967927? True Which is smaller: -1 or 9/10612? -1 Which is smaller: -593616/7 or -84801? -593616/7 Do 752753 and 3 have different values? True Are -1 and -686/613 nonequal? True Is -2320 at least as big as -2/1911? False Is 3307 at least -2/7? True Is 101756 at most as big as 101756? True Is 33768 less than 202603/6? False Which is bigger: 1943 or 1828? 1943 Is 1555924 less than 1555924? False Is -238765 less than -238765? False Is -2600 greater than -3/19? False Which is greater: 19200 or 19172? 19200 Is 1 smaller than 1/180858? False Which is smaller: 5 or 832/219? 832/219 Which is greater: -69 or -12930/187? -69 Which is smaller: 4 or 2008762? 4 Which is smaller: 0 or -23/148? -23/148 Which is smaller: 30 or 3181/104? 30 Which is bigger: -47355/31 or -1527? -1527 Which is smaller: 42 or -3/27038? -3/27038 Is -161558 equal to -161555? False Is -0.1 smaller than 0.357747? True Is 18/30253 smaller than -1? False Which is smaller: 65049/22 or 2958? 65049/22 Is -13.6 <= -31? False Which is bigger: 11/2 or -334359? 11/2 Is -12522 equal to -12513? False Is -0.05913896 equal to -1? False Is -2/3 greater than or equal to -41581? True Are -4 and -1500 nonequal? True Which is bigger: -14059479 or -14059478? -14059478 Is 2.12 at least as big as -2403? True Are 79334 and 79334 non-equal? False Are 760319 and 760318 unequal? True Are -266 and -431 nonequal? True Is 41329 at most as big as 3? False Is -3.14 less than 101? True Which is smaller: -1 or 396/947? -1 Which is bigger: 0 or -35/143? 0 Which is smaller: -183/1321 or 0? -183/1321 Is -421 < -2993? False Which is greater: 0.7 or 137130? 137130 Are 529282 and 529282 equal? True Is 21593 less than 21592? False Is -83989 at most -251968/3? False Is 177 equal to -8.31? False Is -2 less than 674519? True Is -195785 greater than or equal to -195785? True Is -401 smaller than -127? True Which is greater: -6048 or -6049? -6048 Is -45 at least -10.16? False Which is smaller: -35360 or -35364? -35364 Which is greater: 12531 or 12528? 12531 Is -12158 less than -12167? False Is 4929/5 at most 986? True Is 1 > 3/10099? True Which is smaller: -22743 or -14? -22743 Is -13/3 <= -394? False Which is smaller: 1897981 or 1897980? 1897980 Is -5207 less than -5204? True Is -2/7853 greater than or equal to 0? False Which is smaller: 8283 or 0.88? 0.88 Is -1 < -245/2336? True Which is smaller: 2/52891 or -1? -1 Which is greater: 0 or -1/6726673? 0 Is -150 <= 708? True Which is smaller: 87 or -32? -32 Which is bigger: 1 or -5/38164? 1 Is -2 > 2/111753? False Which is smaller: 1 or 2/688523? 2/688523 Do -3/620006 and 0 have the same value? False Is -1 smaller than 5/1071066? True Which is smaller: -0.24 or -5524? -5524 Is 1833/7 at most -0.1? False Is -193175 at least as big as -193176? True Is -345/3701 greater than 1? False Is 11442 equal to 11450? False Which is smaller: -149/3473 or -1? -1 Which is greater: -19633 or -19699? -19633 Do 88872/17 and 5229 have the same value? False Which is smaller: 0 or -4/37791? -4/37791 Is -6693467 at most as big as -6693468? False Which is smaller: 0.1 or 22945? 0.1 Is 146751 bigger than 6? True Is -93/16 > 314? False Which is smaller: -1 or -3/5950? -1 Is -1/25022 less than 1? True Which is bigger: 1666 or 1.05? 1666 Which is smaller: -3/32 or 1/4598? -3/32 Are -19562 and 13 equal? False Are 42925 and 42925 equal? True Is 95/14562 less than 1? True Which is bigger: 146027 or 146028? 146028 Is 1 at least -1/542218? True Are -29929 and -29929 equal? True Is 17/4867 less than 2? True Is 8876 smaller than 8876? False Which is smaller: -17417 or -17420? -17420 Is 1 at most 7/19415? False Which is greater: 179 or -15.4? 179 Which is greater: -4174 or -4175? -4174 Is 8359 smaller than 8357? False Which is smaller: -1227783 or -1227782? -1227783 Is -0.06 <= 1308? True Which is smaller: 0 or 7/1661? 0 Which is smaller: 9429 or 9430? 9429 Is 124042 at least 1116370/9? True Which is smaller: 11710.77 or -0.2? -0.2 Is -36722 greater than -36722? False Which is greater: -107/711 or 0.9? 0.9 Does 157 = 9? False Is -1884146 bigger than 2? False Which is greater: -25344 or -25336? -25336 Which is bigger: 28 or 7810/293? 28 Which is greater: 2/5 or -2564.77? 2/5 Is -19624/7 > -2804? True Which is smaller: -2 or -398/527? -2 Is 603/18698 at least as big as 1? False Which is smaller: 39409 or 39413? 39409 Is -307033/3 greater than -102344? False Is 2418 at least 2397? True Which is greater: -504/11995 or 1? 1 Is -80930 less than or equal to -80933? False Which is bigger: 44/233 or 0.81? 0.81 Which is smaller: 0.1 or 208490? 0.1 Which is greater: 5417 or 5414? 5417 Which is smaller: 4/9 or -151.81? -151.81 Which is bigger: 1213 or 1819? 1819 Which is smaller: -173 or -2/677? -173 Are 300 and 15573/52 equal? False Which is smaller: -0.2 or 2.8617? -0.2 Which is greater: -4383 or -4374? -4374 Is 41168 at most as big as 41171? True Are 584/5 and -4.08 nonequal? True Is -120166 <= -120168? False Which is bigger: -521/2328 or 0? 0 Which is smaller: -4580 or -4584? -4584 Is -12 less than -4553/428? True Are -0.2 and -10.03 nonequal? True Is -21523 greater than -279790/13? False Is 18894 smaller than 18952? True Which is smaller: -116729 or -116728? -116729 Do 4.7 and 15616 have the same value? False Is 2551843/4 greater than or equal to 637961? False Is 64 >= -1043? True Which is greater: 1868 or -130? 1868 Which is smaller: 1/84754 or -1? -1 Is 70.821 > -0.2? True Which is greater: -169505 or -2/5? -2/5 Is -0.1 < -2/15007099? True Which is smaller: -3/55 or 1072? -3/55 Is 127090 at least 21? True Which is bigger: 7 or 1396.33? 1396.33 Is -105850 greater than 6? False Which is smaller: 55/123 or -1? -1 Which is greater: -57184 or -114369/2? -57184 Which is greater: 6138338/5 or 1/2? 6138338/5 Are -1 and -700998.4 non-equal? True Is 10799 < 10797? False Which is smaller: -480253 or -480242? -480253 Which is bigger: 1060/13131 or 0? 1060/13131 Are 16754 and 16754 unequal? False Is -1 >= -276/97807? False Are -1023/28 and 1 unequal? True Is 0 less than 11/124272? True Is -8/3 equal to -5918? False Which is bigger: -83729/11 or -7612? -83729/11 Is 154753 greater than or equal to -0.1? True Which is smaller: 4737374 or -0.1? -0.1 Is -42/19 > 326? False Is 1 greater than or equal to 4/26671? True Is 154648 != 154647? True Which is smaller: 0.3 or 9.5081? 0.3 Which is greater: -261 or -2/269? -2/269 Do 85684 and 85684 have the same value? True Which is greater: 113073 or 113072? 113073 Which is smaller: -170 or -2163? -2163 Which is bigger: -3/10 or -10746? -3/10 Which is bigger: -11861 or -11995? -11861 Which is smaller: 7001406 or 7001405? 7001405 Which is bigger: -38 or -610? -38 Which is greater: -22167 or -22156? -22156 Which is bigger: 6581 or 19744/3? 19744/3 Which is greater: 31.3 or 2075? 2075 Is 10553 bigger than 10598? False Is 0.09 bigger than -32557? True Which is smaller: -4763 or -4773? -4773 Does -40 = -1946? False Do 419/20 and -21 have different values? True Is -647050 at most as big as -647048? True Is 17250/19 less than 907? False Which is smaller: -120053 or -120056? -120056 Which is greater: 35921 or 35920? 35921 Do 98/3 and 157 have the same value? False Is 3053 not equal to -0.3? True Which is smaller: 3784 or 4257? 3784 Which is greater: -10 or -1562/183? -1562/183 Is 43496 bigger than 43512? False Which is greater: 2798469 or 2798468? 2798469 Which is smaller: -1563538 or -1563536? -1563538 Which is bigger: 1/446 or 0.129? 0.129 Do 220 and 0.15 have the same value? False Is
{ "pile_set_name": "DM Mathematics" }
2 - -56625. Is j a prime number? True Suppose 54*r = 44*r + 233990. Is r prime? True Let w(v) = -354*v**2 + 2*v + 2. Let t be w(2). Let o(n) = -150*n**2 + 3*n - 1. Let k be o(2). Let f = k - t. Is f composite? True Suppose 80*b - 82*b = -79858. Is b prime? True Let l = 22607 - -7419. Is l composite? True Let b(v) = -3*v**2 - 27*v + 35. Let l be b(19). Let u = -774 - l. Is u composite? False Let y(d) = -2270*d - 8639. Is y(-57) prime? False Suppose 8*t - 279609 = -29265. Suppose -4*b = -2*l - 31258, 0 = -b + 5*b + 5*l - t. Is b a prime number? True Let i be 4*(-9 + 3) + -2. Let q = -82 - i. Let t = -34 - q. Is t prime? False Let g(b) = 2740*b - 625. Is g(29) a prime number? False Let y(m) = 141 + 142 + 145 - 444 + 44*m**2 - 5*m. Is y(-9) prime? True Let c = -244 - 14. Let u = 889 + c. Is u composite? False Is (6*9471 - -11)*1 a composite number? True Let l = 73 - 73. Suppose -3*i - 6*b + 9*b + 36573 = l, 3*i - 36549 = -3*b. Is i prime? False Suppose 0 = f - 1, 3*f + 263558 = 3*y - 134062. Is y a prime number? True Let p(i) = 18*i**2 - 18*i + 211. Let x(r) = -9*r - 27. Let h be x(-4). Is p(h) composite? True Suppose 868 + 10902 = 5*x. Let v = x - 1594. Let f = -267 + v. Is f a prime number? False Let l be 8/(6 + -2 + -2). Suppose -2*a + 5910 = l*h - 0*h, a - 2920 = 5*h. Suppose -4*z + a = -2363. Is z a prime number? True Let z = -178 + 184. Suppose 3*d - 11 = -d + k, k = -4*d + 13. Suppose -z*y = -d*y - 3633. Is y a composite number? True Let w = 39459 + -21938. Is w a composite number? True Suppose 4*w - j - 5257441 = 0, -w + 710*j = 705*j - 1314384. Is w composite? False Let c(r) = r - 27. Let v(u) = u. Let z(l) = c(l) - 3*v(l). Let n be z(-12). Is (-3)/((-18)/741)*(n - -5) a composite number? True Let c be (6/(-21))/(15/(-315)). Let p(o) be the second derivative of 15*o**3/2 + 23*o**2/2 + o. Is p(c) prime? True Suppose -243*f + 238*f - o = -178350, -o - 5 = 0. Is f prime? True Let j = -14 - -19. Let k(b) = -2*b**2 + 4 + 5*b + 53*b**3 + 18*b**3 - j - 4. Is k(2) a composite number? True Let z be (-3)/3 + (-54)/((-36)/(-4)). Let t(a) be the third derivative of -23*a**4/6 - 3*a**3/2 - 5*a**2. Is t(z) a composite number? True Let b = -11474 - -22979. Suppose -h + b = -5*r + 66013, -3*h = -2*r + 21811. Is r prime? False Let t(d) = d**3 - 5*d**2 + 5*d. Let u be t(3). Is 3 - (153592/(-48) - u/(-18)) prime? True Let g = 403 - 403. Let a(f) = -f**3 - f**2 + 42491. Is a(g) prime? True Let x = 12 + -12. Suppose x = 5*t - 25, 3*g + t - 7205 = 3*t. Suppose d + g = 6*d. Is d prime? False Suppose -223212 = -4*h - 2*h. Suppose -28*m + 3*t - h = -33*m, m + 4*t = 7437. Is m prime? False Let d = 160 - 180. Let o(b) = 17*b**2 + 38*b + 27. Is o(d) composite? False Suppose 0 = 441*b - 457*b + 1116944. Is b prime? True Is -23 + 18 + -10 - -30274 composite? False Is (-1753165)/(-75)*3 - (-4)/10 a composite number? True Let m(c) be the first derivative of -c**4/4 - 5*c**3/3 - 17*c**2/2 - 9*c - 49. Is m(-8) a composite number? True Let d = 11049 + -11068. Suppose -5*c = -h - 21, 0*c = 5*h + 3*c + 77. Is (-716)/(-2) - (h - d) composite? True Let l be ((-165)/(-4))/5*104. Let z(w) = -2*w**2 - 88*w - 215. Let r be z(-36). Let d = l - r. Is d composite? True Suppose -o + 88839 = 8*o. Suppose 2*k - n = 14, k = 2*n - n + 9. Suppose -5*i + o = 3*d, -k*d = -0*i + 2*i - 3956. Is i prime? True Suppose -2 = f - d - d, -3*d = -9. Is (f/10)/(4/73490) prime? True Let q(b) = 777*b**2 - 401*b + 79. Is q(10) prime? False Let z be (((-40)/12)/5)/((-3)/54). Suppose z*s + 3270 = 7*s. Let g = -211 - s. Is g composite? False Let g(h) = -13237*h**3 + 2*h**2 + 11*h + 17. Is g(-2) composite? False Let w = 397276 - 23637. Is w a prime number? False Let v(i) = -1001*i - 324. Is v(-25) a prime number? False Let z(d) = -5236*d - 5495. Is z(-67) a composite number? True Suppose -451493 = -29*i + 215072. Is i composite? True Suppose 0 = -5*z + 3*z + 3*y - 9038, 0 = 5*y - 20. Let j = 8229 + z. Let h = -1963 + j. Is h prime? True Let x = 157256 + -6969. Is x a composite number? False Let f(y) = y**2 + 5*y + 1. Let c be f(-7). Suppose 15*k + c = 18*k, 2*k - 11101 = -3*z. Is z composite? False Suppose 5*w - 5*v - 35 = 0, -2*w = -3*w + 4*v + 19. Suppose b + k - 173 = 0, k = 4*b + w*k - 700. Is 1/2*(b - (-1 + 0)) a prime number? True Suppose 1874*v + 12969670 = 1944*v. Is v composite? True Let h = -9 - -7. Let z be (-2*h/(-8))/(1/(-3270)). Suppose -z = -8*f + 837. Is f prime? False Suppose 0 = 3*x + 4*t - 2813211, -1841786 = 3*x - 4*t - 4655021. Is x prime? False Suppose 192490 = 12*y - 68066. Is y a prime number? True Suppose 2*u = -45 + 12207. Let z = u + -342. Is z composite? True Suppose 78402 + 82257 = -9*h. Is (-8)/(1 + 3) - (-6 + h) a composite number? True Suppose -n = n + 3*w + 18, 5*w - 34 = 2*n. Let x be (-1 - (-105)/9)/((-8)/n). Let m = 21 + x. Is m a composite number? False Is 33912 + (-11 - (-5 + -17)) prime? True Suppose 0 = 4*q - 3*x - 18239, -22 = -x - 23. Is q composite? True Let s be (-105015)/25*-5 - -2. Suppose -17*l + 12*l + s = 0. Is l prime? True Let s be (-88)/12*3/2 + -2. Let q = 11 + s. Let i = q - -269. Is i a composite number? True Let p = 56 - 125. Let j = p - -71. Suppose 0 = -6*z + j*z + 3076. Is z prime? True Suppose 0*b + 24*b = 0. Suppose b = 4*o + f - 6173, 0*o = 5*o + f - 7716. Is o composite? False Let r = -37725 + 93168. Is r prime? False Let k(j) = -2*j**3 - 31*j**2 - 45*j + 211. Is k(-31) a composite number? False Let z = 62814 - -53375. Is z a prime number? True Suppose -5*q + 4*i = -15, -5 - 1 = -2*q - 2*i. Suppose -25417 = -4*a - q*a. Is a a composite number? False Suppose 5*x = -3*g + 37, -3*g + 2*x = x - 7. Suppose 4*m - 128 = g*o, 11*o = m + 8*o - 22. Is m a composite number? False Let q = 50 - 71. Let d be (-1)/7 + (-2271)/q. Is (1/(-2))/((-18)/d) a prime number? True Is -36847*(-5)/(49 + -4)*9 composite? False Let k = 4988 + -3383. Suppose 107*d = 110*d - k. Is d prime? False Let r(x) = -74*x**3 - 9*x**2 - 20*x - 97. Is r(-12) prime? True Suppose 4*u - 2267747 = 3*f - 6*f, 0 = -u + 4*f + 566951. Is u composite? False Suppose 7195*h - 7177*h = 288270. Is h composite? True Let d(g) = 70*g**3 - 2*g**2 + 2*g + 17. Let a be d(8). Let c = 54760 - a. Is c composite? True Let h(g) = 32103*g**3 - 23*g**2 + 88*g - 19. Is h(3) prime? True Let y(c) = 1300*c + 399. Is y(49) composite? True Let c be 3 + 20/(-5) + 2. Let d be (134 - 5) + 1/c. Suppose 0*v + d = 5*v. Is v composite? True Let l(t) = 2*t**2 + 21*t - 32. Let z be l(-12). Suppose -z*o + 7236 = -1376. Is o prime? True Let f(y) = -30453*y - 104. Is f(-7) a prime number? True Suppose 0 = k - 2*z - 112911, -5*k - 2*z - 2*z = -564541. Is k a prime number? True Suppose 0 = -70*z + 69*z + 954. Suppose -z*u = -955*u + 4553. Is u a composite number? True Let x = -6485 - -95256. Is x composite? False Let b(a) = -a**3 + 8*a**2 + 6*a + 22. Let c be b(9). Is 2144 - c/1 - (0 + -4) a prime number? True Let t be 1 - (1*-52 - 1). Let f = t - 49. Suppose -141 = -f*u + 44. Is u composite? False Suppose -37*u = -19*u + 33066. Let j(v) = 2875*v**2 + 1. Let z be j(-1). Let x = z + u. Is x composite? False Suppose 0 = -2*q - 6, -6*q = -5*n - q + 145. Suppose -n*o + 822305 = 29*o. Is o prime? True Suppose 6*z = 188 - 194. Is (-6)/(-5) - (z + 128194/(-55)) prime? True Let o(j) be the second derivative of -91*j**5/10 - j**4/12 - j**3/2 - 3*j**2/2 + 5*j - 3. Let d = -2 - -1. Is o(d) a prime number? True Let u be (-153)/34*(-22)/3. Let b = -34 + u. Is ((-1233)/12)/(b/4) a composite number? True Suppose -247*d - 2154773 = -290*d. Is d composite? False Let b(z) = -2*z + 22. Let d be b(9). Suppose -d*l = 8*l - 165588. Is l composite? False Suppose -1088*r + 4*j = -1083*r - 8304977, 4*r + j - 6644011 = 0. Is r a prime number? False Suppose 2*i = -4, -i + 0*i = -4*b - 6. Let c(t) = -33*t - 4. Let h(v) = -32*v - 4. Let o(z) = b*h(z) + 3*c(z). Is o(-15) a composite number? False Let r = -15225 - -21347. Is r a composite number? True Let t = -1722 - -4715. Let l = 5200 - t. Is l composite? False Let l = 771047 - 333220. Is l prime? False Suppose t = 10*j - 6*j + 6068, 2*j + 4*t = -3016. Let g = j - -9399. Is g a composite number? False Suppose -5*l - 3*s = -414471, -9*s = 2*l - 4*s - 165796. Is l composite? True Let a(h) = -h**3 - 68*h**2 +
{ "pile_set_name": "DM Mathematics" }
m rounded to five decimal places? -0.00004 Let y be -1*((2 - 3) + -4). Suppose -2680000 = -y*p + p. What is p rounded to the nearest 100000? 700000 Let d = 61.099 + -0.099. Let b = d + -52.3. What is b rounded to the nearest integer? 9 Let z = 246 - 106. What is z rounded to the nearest 100? 100 Let p = -31.0102 + 31. Round p to two decimal places. -0.01 Let g(a) = -5*a**3 - a**2 + a + 1. Let m be g(-1). Suppose i + i + 1828 = -m*x, 5*x - 15 = 0. Round i to the nearest one hundred. -900 Let s = -32430.8203978 + 1855924.9203558. Let k = s - 1823497. Let d = k - -2.9. Round d to five decimal places. -0.00004 Let v = -2669 + 2643.99. Let w = 55 + -79. Let h = v - w. Round h to 1 dp. -1 Suppose 0 = 3*k + 5*w - 696077, -k + 0*k = 5*w - 232009. Suppose -157966 = q + k. What is q rounded to the nearest one hundred thousand? -400000 Suppose 0*i - 15596 = 2*i. Let x be -2 + 2 + i/(-2). Let h = -10899 + x. What is h rounded to the nearest ten thousand? -10000 Let t = 0.7 - -11.3. Let o = -12.012 + t. What is o rounded to 2 dps? -0.01 Let h = -48485 - 15515. What is h rounded to the nearest ten thousand? -60000 Let c = -39102 - -78948. Let u = -39845.9800056 + c. Let s = u + -0.02. Round s to 6 dps. -0.000006 Let v = -0.24 + 0.24. Let j = -0.00000064 + v. What is j rounded to 7 decimal places? -0.0000006 Let z = -27 - -26.99999964. What is z rounded to 7 dps? -0.0000004 Let x = 0.019 - 0.019022. Round x to five dps. -0.00002 Let m = -35 - -34.66. Let g = m + 1.1. Let v = g - 0.729. Round v to two dps. 0.03 Suppose -u + 4*o + 3 = 0, -u + 6*u + 4*o + 9 = 0. Let h be u/2 + 201/(-6). Round h to the nearest 10. -30 Suppose 4*o - 3*n = -12, -2*o + 2*n - 1 = 3. Let w(q) = 13332*q**2 - 7*q + 6. Let z be w(o). Round z to the nearest one hundred thousand. 500000 Let x = -6.65 + 2.7. Let l = 4 + x. Let k = 1.35 + l. Round k to the nearest integer. 1 Suppose -h + 2940000 = -7*h. What is h rounded to the nearest one hundred thousand? -500000 Let x = -86 + 135. Suppose -2*h - u - x = 0, 0 = 3*h - 2*h + 4*u + 42. Let g = -42 - h. What is g rounded to the nearest ten? -20 Let p be 940/6 + (-4)/6. Suppose -5*j = -2*j - p. Round j to the nearest 10. 50 Let l = 7092 - 15030. Let t = 7961.9919 + l. Let y = 24 - t. What is y rounded to 3 dps? 0.008 Let b = 17 - 64. Let y = -46.99961 - b. Round y to 4 decimal places. 0.0004 Let w = -0.25 + 0.2434. What is w rounded to 3 decimal places? -0.007 Let q be ((-1000)/30)/((-1)/(-150))*-1580. What is q rounded to the nearest 1000000? 8000000 Let v = 18 - 0. Let n = -17.9905 + v. What is n rounded to 3 decimal places? 0.01 Let d = 41015 - 25215. What is d rounded to the nearest 10000? 20000 Let p(m) = 152*m**2 + 4*m + 4. Let t be p(-8). Round t to the nearest one thousand. 10000 Let f be (-7)/(35/24)*10. Let z be -7500*(-2 + f/9). Round z to the nearest 10000. 60000 Let l = 132.48891 + -0.06891. Let w = -131 + l. Let d = 0.08 + w. What is d rounded to 0 decimal places? 2 Let m(f) = f**3 - 3*f**2 + 2*f - 1. Let n be m(2). Let c be 31172010 - (n + -2 - -4). Suppose 3*o - c = -2372009. Round o to the nearest 1000000. 10000000 Let h(l) = 16*l**3 + 2*l**2 - 3*l + 2. Let a be (6/15)/((-1)/10). Let d be h(a). Let b be d - (4 + 4/(-2)). What is b rounded to the nearest 100? -1000 Let m(f) = 2*f**3 - 5*f**2 + 4*f - 10. Let p be m(4). What is p rounded to the nearest 10? 50 Let m = -70 - -401. Suppose 3*a + 4*l = -105 - m, -4*a - 5*l - 580 = 0. What is a rounded to the nearest 100? -100 Let t = -0.0141 + -2.5759. What is t rounded to one dp? -2.6 Let i = -23.711 - -23.6. Let d = i - -0.11. What is d rounded to two decimal places? 0 Let o = -4 + 3.965. Let x = 0.035078 + o. Round x to five decimal places. 0.00008 Let b = 6.03 + -0.03. Let g = 85 - b. Let p = g - 78.999959. Round p to 5 dps. 0.00004 Let l = 20 - 18. Suppose -2*w = -2*b - 1479998, 0*b + l*w = -5*b - 3700002. Round b to the nearest 100000. -700000 Let c = 137.0000109 - 137. What is c rounded to 6 dps? 0.000011 Let y = 927770 - 927584.22514. Let r = 0.14486 - y. Let g = r + 187. What is g rounded to one decimal place? 1.4 Let i(a) = 109 + 13*a**2 + 431 - 14*a**2. Let d be i(0). What is d rounded to the nearest one hundred? 500 Let t = 1 + -0.7. Let j = t + -0.35. Let o = -0.65 + j. What is o rounded to zero decimal places? -1 Let d = 151584 - -102416. Round d to the nearest one hundred thousand. 300000 Let c(b) = 102*b**3 - 2*b**2 + 3*b**2 - 2*b**2 + 3 - b. Let i be c(3). Suppose i + 55 = 4*r. What is r rounded to the nearest one hundred? 700 Let d = 8.91 - -0.09. Let k = -8.592 + -0.248. Let l = k + d. What is l rounded to one decimal place? 0.2 Let m = -5 + 5.453. Let k = -0.48 + m. What is k rounded to 2 decimal places? -0.03 Let j(m) = 18*m - 4. Let l be j(-12). Let g be -50*(-9)/((-9)/l). Round g to the nearest 10000. 10000 Let x = 4859 - -149. Suppose 2*r + 2*h + 1596 = -400, -5*r - x = -4*h. What is r rounded to the nearest 10000? 0 Let v = -0.049 - 0.162. Let p = v - -1.921. Round p to one dp. 1.7 Let v = -0.025 + 0.002. Let o = -0.0261 - v. What is o rounded to 3 dps? -0.003 Let j = -118 - -117.9902. What is j rounded to three dps? -0.01 Let v(l) = l**2 - 6*l - 4. Let k be v(7). Let s be 186/((-297)/(-100) - k). What is s rounded to the nearest 1000? -6000 Let m = -28 + 27.99999. Round m to four dps. 0 Let s = 0.72 - 0.8. Let q = s - -0.0799984. What is q rounded to six dps? -0.000002 Let b = -0.11 + -2.89. Let s = -2.946 - b. Let k = s + -0.05326. What is k rounded to 4 dps? 0.0007 Let t be (4/5)/((-3)/(-15)). Suppose t = -3*y - 14. Let o be y/21 + 366/7. What is o rounded to the nearest 10? 50 Let c = -25.22 - -25. Let v = 0.11 + c. Let b = 0.1078 + v. What is b rounded to three decimal places? -0.002 Let t = 494488 + -353071. Suppose -3*s = -4*j - 89984, 0 = -5*s - j + t + 8587. What is s rounded to the nearest 100000? 0 Let a(f) = -2*f - 2983546. Let i be a(0). Let s = -1383546 - i. Round s to the nearest 1000000. 2000000 Let k be -1 + 1 + 8 + 1. Suppose h = -2*h + k. Suppose -4*b + h*b = d - 1395, 2*b = d + 2805. What is b rounded to the nearest 1000? 1000 Let w = 3649396 - 2349384. Suppose 2*f + f + w = k, 2*f - 1299992 = -k. Round k to the nearest one million. 1000000 Let n(h) = 1140001*h**3 - 2*h + 1. Let q be n(1). Round q to the nearest one hundred thousand. 1100000 Suppose 0 = 5*j - 3*s - 20, -3*j = j - 4*s - 16. Suppose -d - j*d + 410240 = 0. Suppose -1397952 - d = -4*g. Round g to the nearest 100000. 400000 Let y(o) = -o**2 - 7*o + 5. Let h be y(-8). Let m(t) = 199*t + 3. Let p be m(h). Let k = 334 + p. What is k rounded to the nearest 100? -300 Let m = 2949288 + -994769. Suppose -994529 = -f + 5*q, -5*f + 5*q = -0*q - 4972605. Let o = m - f. What is o rounded to the nearest 100000? 1000000 Let r = -16.6936 + -0.2654. Let c = -12.7 + -4.3. Let w = r - c. Round w to two decimal places. 0.04 Let o = 2.5 - 2.49995. What is o rounded to four decimal places? 0.0001 Let z = 29.31 + 0.69. Let b = -29.962 + z. Round b to 2 dps. 0.04 Let b = -12 - -14. Let v be b - (0 + 1269999 + 3). Round v to the nearest one hundred thousand. -1300000 Suppose -n - 32488 - 9912 = 0. What is n rounded to the nearest 1000? -42000 Let s = -46 + -4. Let k = s + 47.72. Let q = k + 2. Round q to one decimal place. -0.3 Suppose -1614988 = 4*p - 9*p + 3*n, 3*p - 2*n = 968992. Round p to the nearest ten thousand. 320000 Suppose -2 + 18 = 4*g. Let l be g/(-3*(-4)/399000). Round l to the nearest 10000. 130000 Suppose 0 = -2*l - 2, -7728 = -5*x - 5*l - 2878. Suppose 3*i + 12087 = 6*i. Suppose -5*z + i = -x. Round z to the nearest one thousand. 1000 Let k(l) = 29427*l + 22. Let x be k(14). Round x to the nearest 100000. 400000 Suppose -9775 = -q + 20125. What is q rounded to the nearest 1000? 30000 Let s be ((-1)/2)/(5/(-20)). Suppose 0 = s*q + 2072153 + 1247847. Round q to the nearest one hundred thousand. -1700000 Let n = 282 + -612. Round n to the nearest one hundred. -300 Let x = 301.73 + 1.27. Let f = -301.73 + x. Round f to 1 decimal place. 1.3 Let x(c) = -5*c**2 + 5*c - 6. Let o(y) = -14*y**2 + 14*y - 18. Let t(n) = -3*o(n) + 8*x(n). Let b be t(7). What is b rounded to the nearest 10? 90 Let s be 4 - 2*(19 - 2). What is s rounded to the nearest 100? 0 Let h = -0.86 - -0.860493. What is
{ "pile_set_name": "DM Mathematics" }
-39804100*t**3 - 30986217. -119412300*t**2 Differentiate -527839415*h**2 + 642406797. -1055678830*h What is the third derivative of -389432*y**4 - 19*y**3 + 2*y**2 - 33497*y + 11 wrt y? -9346368*y - 114 Find the first derivative of -3*n**2*t + 71*n**2 + 1376*n*t + 22*n - 439807087*t wrt n. -6*n*t + 142*n + 1376*t + 22 What is the second derivative of -37629471*b**3 + 5924778*b? -225776826*b What is the second derivative of 346*a**3 - 4167*a**2 + 8210010*a wrt a? 2076*a - 8334 Find the third derivative of 6039193*c**3*l - 3*c**3 - 12*c**2*l + 2972*l wrt c. 36235158*l - 18 Find the third derivative of -2*c**3*i*u - 539*c**3*i - 4*c**3*u - 391*c**3 + c**2*i*u - 2*c**2*i + 90*c*i*u + 253*c*i - i + u wrt c. -12*i*u - 3234*i - 24*u - 2346 What is the derivative of -135*q**4 + 4909*q - 93543800 wrt q? -540*q**3 + 4909 Find the first derivative of -1206472*k + 4543519. -1206472 What is the first derivative of 11*n*t**2 - 6337267*n*t + 321976580*n wrt t? 22*n*t - 6337267*n What is the derivative of 399743091*s**2 - 344513210 wrt s? 799486182*s What is the third derivative of 83710*c**2*q**3 + 2*c**2 - 191*c*q**3 - 5*c*q**2 - 12865375*c*q wrt q? 502260*c**2 - 1146*c Differentiate 767*q**2*t**3 + 2*q**2*t + 934*q**2 + 3291346*t**3 wrt q. 1534*q*t**3 + 4*q*t + 1868*q Find the second derivative of -19951322*t**2 + 82942893*t. -39902644 What is the second derivative of 615624261*s**2*y - 291*s*y - 2584*s + 7 wrt s? 1231248522*y What is the first derivative of 144*o**3 + 327686*o**2 - 60008766 wrt o? 432*o**2 + 655372*o Find the second derivative of -31*c**5 - 216454*c**4 + 22647755*c wrt c. -620*c**3 - 2597448*c**2 Find the third derivative of -22*p*w**4 - 1541431*p*w**3 - 148*p*w**2 + 8*p*w + p - 6*w**2 + 2*w - 1 wrt w. -528*p*w - 9248586*p Find the first derivative of -4824*d**3 - 1964*d**2 - 85495271. -14472*d**2 - 3928*d Find the second derivative of 19836719*v**2 + 7*v + 238268 wrt v. 39673438 What is the derivative of 2*s**2*v - 449*s**2 + 103118*s*v**2 + 492613*s + 9*v**2 + v - 1 wrt v? 2*s**2 + 206236*s*v + 18*v + 1 What is the first derivative of -764*p**2*s - 20497340*p**2 + 21*p*s**3 - 115*s**2 wrt s? -764*p**2 + 63*p*s**2 - 230*s What is the first derivative of -150617631*a**2 + 140740286 wrt a? -301235262*a What is the third derivative of -53106934*l**3 - 85*l**2 - 22489*l? -318641604 What is the second derivative of w**2*x**3 + 478*w**2*x**2 - 258*w**2*x - 3476*w**2 + 709*x**3 wrt x? 6*w**2*x + 956*w**2 + 4254*x Find the third derivative of -2694*u**5 + 9*u**4 - 8*u**3 - 60137*u**2 + 515 wrt u. -161640*u**2 + 216*u - 48 Find the third derivative of -195*l**3*w**3 + 5228*l**3*w + 10*l**2*w**2 - 25756*q*w**3 + 91*q*w wrt w. -1170*l**3 - 154536*q What is the third derivative of -10602875*t**3 - 30651*t**2 + 185 wrt t? -63617250 Find the second derivative of a**4 - 4153753*a**3*y - 3483*a*y - 80*a wrt a. 12*a**2 - 24922518*a*y What is the third derivative of -957988*l**5 + 73*l**4 + 1614314*l**2 + 203*l? -57479280*l**2 + 1752*l Differentiate 1212410146*y**3 + 503668885 wrt y. 3637230438*y**2 Differentiate -150083007*g - 63198766 wrt g. -150083007 Find the second derivative of 20*x**3 - 923531*x**2 - 552166344*x. 120*x - 1847062 What is the first derivative of 173217*r*s**2 - r*s + 494194*r - 37*s**2 - 1 wrt s? 346434*r*s - r - 74*s What is the second derivative of -174010297*a**3*y**2 - 2*a**3 - 11*a**2*y + 1661*a - 10*y + 2 wrt y? -348020594*a**3 What is the second derivative of 45936787*t**2 + 6332567*t wrt t? 91873574 Find the second derivative of 12955381*f**2 - 1634472*f. 25910762 What is the derivative of -2*j**3*y + 3506*j**2*y + 90*j*y + 3603272*y wrt j? -6*j**2*y + 7012*j*y + 90*y Differentiate -369*r**3*s**2 + 52*r**3 - 4*r**2*s**2 + 37*r**2 + r + 3339*s + 841 with respect to s. -738*r**3*s - 8*r**2*s + 3339 Find the second derivative of -356173*a*g**3 + 85025*a*g + a + 12*g**3 - 22*g wrt g. -2137038*a*g + 72*g What is the derivative of -43*l**3 + 755754*l - 541870570? -129*l**2 + 755754 Find the third derivative of -11693818*s**3 - 50088584*s**2. -70162908 What is the second derivative of 770505573*s*t**2 + 61568*s*t - 6031*t wrt t? 1541011146*s What is the first derivative of 458*l**3*n - 1502*l*n**3 + n**3 + 12*n**2 + 642*n + 1 wrt l? 1374*l**2*n - 1502*n**3 What is the third derivative of 5*g**5 + 5*g**4 - 188101*g**3 + 3*g**2 + 1876*g - 819? 300*g**2 + 120*g - 1128606 Differentiate 782197*g**3*q + 3877*g**3 - g**2 + 32*g - 78*q + 5 with respect to q. 782197*g**3 - 78 What is the second derivative of 13078292*q**2 + 3087057*q + 2 wrt q? 26156584 What is the second derivative of 11*a*h*y**3 - 64444*a*h*y**2 - 199384*a*h*y + 24*a*y - y**3 - 1 wrt y? 66*a*h*y - 128888*a*h - 6*y Find the second derivative of 24074183*z**2 - 36510082*z wrt z. 48148366 Find the third derivative of -35824408*h**6 + 13398386*h**2 wrt h. -4298928960*h**3 Differentiate -104*b**3 - 3873*b**2 - 3*b + 72023803. -312*b**2 - 7746*b - 3 What is the first derivative of 10711008*t**3 + 15*t - 1088290514 wrt t? 32133024*t**2 + 15 Find the second derivative of 5300251*p**3 + 35*p - 98741. 31801506*p Find the first derivative of a*k**3*q**2 + 3*a*q**3 - 4544013*a - 1110*k**3*q**2 - 5*k**3*q + 2312*k**2*q**3 wrt a. k**3*q**2 + 3*q**3 - 4544013 What is the third derivative of -1160281*q**3 - q**2 + 7789247*q wrt q? -6961686 Differentiate -66837341*h*w**2 - 67682511*w**2 with respect to h. -66837341*w**2 Find the third derivative of -2*f**5*w + 3159439*f**5 - 2*f**2 - 3536673*w wrt f. -120*f**2*w + 189566340*f**2 Find the second derivative of 10618757*a**3 - 381942*a + 26. 63712542*a What is the first derivative of 3969065*h**2 + 8234232 wrt h? 7938130*h Find the second derivative of -3137360*y**2 - 3763554*y. -6274720 What is the second derivative of -1636251*u**2 - 1232539*u wrt u? -3272502 Find the second derivative of 107816713*c**2 + 4030*c - 4742. 215633426 What is the derivative of -107761796*d**2 - 30173916? -215523592*d Differentiate -62*o**2 - 14295*o + 14072442. -124*o - 14295 Find the second derivative of -f**5 + 95*f**4 - 12838*f**2 - 48*f - 143880 wrt f. -20*f**3 + 1140*f**2 - 25676 Find the third derivative of 5*p**6 + p**5 + 4185*p**3 + 2405620*p**2 - 2 wrt p. 600*p**3 + 60*p**2 + 25110 What is the first derivative of -9*z**3 + 726383*z - 13088269 wrt z? -27*z**2 + 726383 What is the third derivative of -82*o**4 + 6389*o**3 - 3017*o**2 - o + 6 wrt o? -1968*o + 38334 Find the third derivative of 7*o**2*y**3 - 1265*o**2*y - 16162281*o*y**3 + 126882*y**2 wrt y. 42*o**2 - 96973686*o What is the third derivative of 368207*d**4 + 5*d**3 - 4241*d**2 - 393*d - 1? 8836968*d + 30 What is the third derivative of 21189*o**4 - 97*o**3 - 31*o**2 + 5552022*o? 508536*o - 582 Find the third derivative of 272144220*t**4 + 1401796*t**2 - 63*t wrt t. 6531461280*t What is the third derivative of -7388806*f**2*n**3 + 7*f**2*n**2 - 515469*n**2 wrt n? -44332836*f**2 Differentiate -139*h*r**2 - 31*h*r + 1383458*h - 9*r**2 - 3*r - 3 with respect to r. -278*h*r - 31*h - 18*r - 3 Differentiate -54*s**3 + 29681*s - 10879531 wrt s. -162*s**2 + 29681 Find the first derivative of 9413*g*p - 25*g*r**3 - 28*p*r - 304521*r**3 wrt g. 9413*p - 25*r**3 What is the second derivative of -47587802*a**2*k**2 + 3562*a**2 - 2010*a*k + a wrt k? -95175604*a**2 What is the third derivative of 341510530*g**5 + 9*g**2 + 139*g + 293? 20490631800*g**2 What is the derivative of -2047449*n**4 + 39*n*v**3 + 6387410*v**3 wrt n? -8189796*n**3 + 39*v**3 What is the third derivative of -532718637*b*i**5 + b*i**2 + b*i - 151*b - 2*i**3 - i**2 - 2782*i + 2 wrt i? -31963118220*b*i**2 - 12 What is the derivative of -784997141*d**2 - 149936654 wrt d? -1569994282*d What is the third derivative of 95073495*m**3 - 347966*m**2 - 5*m wrt m? 570440970 What is the third derivative of -3112676*a**4*v**3 + 6*a**3*v**3 + 11*a**2*v**3 + 25*a**2 + a*v**3 - 2*a*v**2 - a - 180*v**2 wrt a? -74704224*a*v**3 + 36*v**3 What is the second derivative of 60531031*c**3 - 23757921*c? 363186186*c Find the second derivative of 7*n**2*t**2 + 9*n**2*t - n**2 - 212307*n*t**3 - 3*n*t + 39*n - t + 494 wrt t. 14*n**2 - 1273842*n*t What is the derivative of -73834*r**2*y - 4*r*y**2 + 4*y**2 + 807*y + 14 wrt r? -147668*r*y - 4*y**2 What is the de
{ "pile_set_name": "DM Mathematics" }
a) 31 (b) 13 (c) -5/3 c Which is the third smallest value? (a) -35 (b) 0.1 (c) -3 (d) -3/16 d Which is the third biggest value? (a) -2 (b) 1 (c) 5 (d) -243 (e) 4 b Which is the second smallest value? (a) -0.5 (b) -336 (c) -5 c Which is the second biggest value? (a) 4 (b) -1/8 (c) 0.28 (d) 3 (e) -106 d Which is the fifth smallest value? (a) -2/15 (b) -1/283 (c) -2/11 (d) -1/4 (e) 3 e Which is the biggest value? (a) -0.004 (b) -13 (c) 1 (d) -256 c What is the fourth biggest value in -0.4, -1, 12.6, 7? -1 Which is the second smallest value? (a) 442 (b) 9 (c) 3 (d) 17 (e) -1/8 (f) 4 c What is the second biggest value in -154/73, 3/5, 1/5? 1/5 What is the biggest value in -0.3, -0.4, -412, -1, -2, 1? 1 Which is the sixth biggest value? (a) -1.4 (b) 5 (c) -2/7 (d) -4 (e) -10.3 (f) -1 e Which is the third smallest value? (a) 1/3 (b) -1 (c) 3 (d) -6054 a Which is the second biggest value? (a) -2/7 (b) 3 (c) -4 (d) -13 (e) -46 (f) 17 b What is the third biggest value in -1/3, 5, 296/5? -1/3 What is the second biggest value in 0.5, -1, 13, 46, -4/13? 13 What is the second biggest value in 363, 0.008, 4? 4 Which is the fourth smallest value? (a) 1/4 (b) -49 (c) -2/3 (d) 0 a Which is the second smallest value? (a) 4 (b) 2777 (c) 2.1 a Which is the second smallest value? (a) -2/13 (b) -4 (c) 4 (d) -2 (e) -0.09 (f) -0.2 d Which is the biggest value? (a) 61 (b) -46 (c) -4 (d) -2/7 a Which is the second smallest value? (a) -107791 (b) -5 (c) 0.3 b Which is the biggest value? (a) -0.2114 (b) -3 (c) -4 (d) 0.4 d Which is the third biggest value? (a) 0.05 (b) -10 (c) 9 (d) 4 (e) -3 a Which is the fourth smallest value? (a) 5299 (b) 1/6 (c) 2/7 (d) -1/2 a What is the third smallest value in -15, -5, 70, 4? 4 What is the second smallest value in -0.5, 23/2, 0.5, -147? -0.5 Which is the fourth biggest value? (a) 3/4 (b) 207 (c) 1/6 (d) 9 c What is the third smallest value in 0, -4, -0.04, 4/67? 0 What is the second smallest value in -2/7, 2, -0.7, -421/3, -0.3? -0.7 What is the biggest value in 8, -66, -24? 8 What is the third biggest value in -13/3, 0.4, -7, -40, 3/4? -13/3 Which is the smallest value? (a) -92/25 (b) 39 (c) -0.07 a Which is the second biggest value? (a) 0.1 (b) 0.2 (c) -8291 a What is the fifth biggest value in -37, -1/4, -551, 5/2, 0.01? -551 Which is the fourth smallest value? (a) 0 (b) -4/9 (c) -0.1 (d) -2/5 (e) -3 (f) -3/10 f Which is the smallest value? (a) 2/3 (b) -0.2 (c) -186 (d) -0.5 c What is the third smallest value in 1/3, -0.29, -1.5, 2? 1/3 Which is the second biggest value? (a) -0.1 (b) -2.43 (c) 0.99 (d) 1 c What is the fifth biggest value in -0.01, -0.3, 1, -2/3, -2/5, -631? -2/3 What is the fourth smallest value in -5, 0.5, 16, -2/3, -0.5? 0.5 What is the fifth smallest value in -14/5, 1/6, -9, 2/3, -0.5? 2/3 Which is the third smallest value? (a) 0.7 (b) 12 (c) -65 b Which is the fourth smallest value? (a) 3/2 (b) 27 (c) 2/21 (d) 18 b Which is the fourth smallest value? (a) 1 (b) -165 (c) 1153 (d) 0 c Which is the biggest value? (a) 9 (b) -0.13 (c) 622 c What is the fourth biggest value in -13/2, 374, -4/9, -0.3? -13/2 Which is the third biggest value? (a) -5 (b) -6 (c) -33 c Which is the fifth biggest value? (a) 0.41 (b) -1 (c) -0.2 (d) 0.8 (e) 3/5 b What is the second smallest value in 0.5, -2/7, -1, 184, -3? -1 Which is the biggest value? (a) 142 (b) 1.1 (c) 5 (d) -2 a What is the smallest value in 0.281, -5, -1, -0.2, -2? -5 What is the second biggest value in 607/6, 2, -1? 2 Which is the third biggest value? (a) 0.0527 (b) 0.1 (c) -5/4 (d) 2/7 (e) -0.1 a Which is the third biggest value? (a) -37 (b) 0 (c) -33 (d) 2 c Which is the fifth biggest value? (a) -0.4 (b) 2/41 (c) 0 (d) -231 (e) -1/2 (f) 5 e What is the second smallest value in 1.1, 0.16, 0.373, -5? 0.16 Which is the smallest value? (a) 0.2 (b) 0.93 (c) -7/9 (d) 0.1 c What is the fourth biggest value in 5, 0.3, 52, 4, -841? 0.3 Which is the third biggest value? (a) -0.2 (b) 3.57 (c) 591.8 a What is the fourth biggest value in -1, 887, -3/7, 4? -1 Which is the smallest value? (a) 0.06 (b) 4 (c) 17 (d) 1.1 (e) -2/3 e What is the smallest value in -29, -2, 84? -29 What is the third biggest value in 1/8, -6/17, 3/8, -1/3, 3, -2? 1/8 Which is the second smallest value? (a) 2/29 (b) -0.1 (c) -62 (d) 0.5 b What is the biggest value in 4, -0.5, 2896, 2/11, -2? 2896 Which is the biggest value? (a) 26 (b) -5 (c) -0.1 (d) 2 (e) -0.5 a What is the biggest value in 15, 109.1, -2, -0.6, 1/6? 109.1 What is the sixth smallest value in 0, -0.9, -12/17, 0.1, 2, -2? 2 Which is the biggest value? (a) 0.3 (b) 4880/3 (c) -1 (d) -5 (e) 2/5 b Which is the fourth smallest value? (a) -3/4 (b) -1/11 (c) 855/8 (d) 2/41 (e) 2/5 e What is the smallest value in -0.4, 0.5, -1, -7, -0.094? -7 What is the fourth biggest value in -0.07, 5, -1045, 1/3? -1045 Which is the sixth smallest value? (a) 0 (b) 0.5 (c) -3 (d) 1034 (e) -10 (f) -0.4 d Which is the third smallest value? (a) 9 (b) 0.3 (c) 2/83 (d) 0.1 (e) 3/5 b Which is the fifth smallest value? (a) 0.5 (b) -6008 (c) -23 (d) 5/3 (e) -3/2 (f) -1 a Which is the sixth biggest value? (a) 0 (b) -4/5 (c) -1 (d) 7072 (e) -5 (f) -4/3 e What is the fifth smallest value in 0, -4/7, -2, -0.1, 7, -7? 0 Which is the third smallest value? (a) -2 (b) 2 (c) -1/3 (d) 0.2 (e) -6.9 (f) 0 c Which is the fourth smallest value? (a) 3 (b) -0.4 (c) -6 (d) -144 (e) -0.2 (f) 0.4 e What is the third smallest value in -0.1, 1/13, -5, 204, 8? 1/13 What is the third smallest value in -2/7, 6/11, -13/36, 0.1, -0.3? -2/7 What is the second smallest value in -59, 0.4, 2.1, 0.23? 0.23 What is the third biggest value in 0, -12/7, 228.8, 3/4? 0 Which is the third smallest value? (a) 1/11 (b) -1 (c) -5935 a Which is the fourth biggest value? (a) -5 (b) 0.4 (c) 1 (d) -0.166 a Which is the third biggest value? (a) 1/230 (b) 66 (c) -1/9 c Which is the second biggest value? (a) 0.4 (b) -2/9 (c) 1/3 (d) 4 (e) 40 (f) -7 d What is the third smallest value in -2/5, 2, 0.16, 8, 5, -14/43? 0.16 What is the second smallest value in -224, -2, 9, -3, 5? -3 What is the third smallest value in 0.9, 1, -3, 28? 1 What is the fourth smallest value in -2/199, 3/1145, 0.1, 0.4, -0.5, -0.2? 3/1145 Which is the third smallest value? (a) -3 (b) 386/5 (c) -1/10 (d) 0.2 d What is the fourth biggest value in 4, 16.8, -0.2, -0.05, 0.3? -0.05 Which is the fourth smallest value? (a) -196 (b) -487 (c) 0.05 (d) -3 c Which is the biggest value? (a) 0.09 (b) 0.4 (c) 129 (d) -10 c Which is the fifth smallest value? (a) -24 (b) -3 (c) 1/3 (d) 1/2 (e) 0.2 (f) -0.5 c What is the second smallest value in 0.03, 4, 8740, 0.3? 0.3 What is the biggest value in -4, 25, -9, 0.5? 25 Which is the second biggest value? (a) 240 (b) 4 (c) -2 (d) -13/2 b What is the fourth smallest value in -2/7, -3/7, -5, -0.14, 123? -0.14 Which is the second smallest value? (a) -0.18 (b) 1 (c) 1.2 (d) 4 (e) 2/13 e Which is the third biggest value? (a) -5 (b) -1 (c) -459 (d) -2/3 (e) -0.2 b Which is the smallest value? (a) -6 (b) -0.1 (c) 447 (d) 4 (e) 0.2 (f) -0.68 a What is the second smallest value in -0.2, 6/13, -5, -2, -50, -2/11? -5 What is the fifth smallest value in -3, 1589, 9/4, 0.1, -2/7? 1589 Which is the third biggest value? (a) 2/17 (b) 3/8 (c) 119 (d) -0.4 a Which is the fourth biggest value? (a) -1/2 (b) 76 (c) 47 (d) -1 (e) 0 a What is the fourth biggest value in -0.8, -0.2, 17, 0.1821? -0.8 Which is the biggest value? (a) 5 (b) -1 (c) -13799 a Which is the fourth smallest value? (a) 0 (b) -2 (c) 16 (d) 103/5 (e) -5 c What is the second biggest value in 0.045, -10, -5, 5? 0.045 Which is the third smallest value? (a) 0.42 (b) -176 (c) 0 (d) -1/6 (e) -1/3 (f) 5 d Which is the third biggest value? (a) 3722 (b) 1/9 (c) -0.2 (d) 2/5 (e) 2 d Which is the smallest value? (a) -5 (b) 7532 (c) 0.5 a What is the second smallest value in 3, 16, -5/3, -12, -1/16? -5/3 Which is the biggest value? (a) 0.5 (b) -0.038 (c) -5 a What is the biggest
{ "pile_set_name": "DM Mathematics" }
)/(-4) - r)*-2. Let n(p) = -p**3 - 10*p**2 + 7*p - 12. Is n(m) a multiple of 16? True Let s be (2 - 6/1)*1. Is 26 a factor of 153/(-6)*s/3? False Suppose -5*b + 36 = 4*z, -2 + 38 = 4*z - 4*b. Let f = z + -15. Is (39/(-6))/(1/f) a multiple of 13? True Does 18 divide (594/(-55))/((-6)/20)? True Suppose 0 = -4*q + 4*k + 20, 0 = -q - 0*k + 3*k + 5. Suppose -q*y + j + 25 + 43 = 0, 0 = 3*y - j - 40. Is y a multiple of 9? False Let a(q) = 6*q - 9. Does 9 divide a(6)? True Suppose -4*l + 5*a + 306 = -0*a, 0 = a - 2. Is 27 a factor of l? False Let k(p) = p - 2. Let b be k(6). Suppose -d - 4*q = -20 - 18, -3*d - b*q + 82 = 0. Is d a multiple of 11? True Let g be 5/((-10)/(-4)) - 0. Let n(z) be the third derivative of z**5/10 + z**3/3 + 6*z**2. Is n(g) a multiple of 17? False Suppose 3*c - 61 = -178. Let o be 7/(c/18 - -2). Let d = -6 - o. Is d a multiple of 16? False Let l(i) = -2*i - 13. Does 9 divide l(-11)? True Let r(n) = -n**2 + 10*n - 9. Let b(c) = 8*c**3 - 2*c**2 + 2*c - 1. Let d be (-4)/(-6) - (-2)/6. Let u be b(d). Is r(u) a multiple of 12? True Suppose 0 = h + 4*n - 2*n - 234, 2*n = 2*h - 468. Is 13 a factor of h? True Let x = -28 - -10. Let n = 33 + x. Let k = -9 + n. Is k a multiple of 5? False Let m(r) = -r**3 - 2*r**2 + 7*r + 3. Is m(-5) a multiple of 9? False Suppose -o + 33 = -74. Does 50 divide o? False Let h = -25 + 80. Let f = h - 11. Is 11 a factor of f? True Let j = -12 + 29. Suppose -w - 4*k + j = 0, -5*w + 14 = 2*k + 1. Is -1*(1 - 14/w) a multiple of 13? True Suppose 3*l - 5*h - 19 = -6, -2*h = l + 3. Is -1 - 0 - (l - 27) a multiple of 5? True Is 12 a factor of (-82)/(-5) + 12/(-30)? False Suppose -2*f + 85 = 3*f. Suppose 3*p + 6 = 0, 5*s - 1 + f = -3*p. Is 2 a factor of s + 6 + (-2)/2? False Suppose -h = 4*v - 8, -3*h + 3*v + 5 = -h. Suppose 87 = -w + h*w. Is 11 a factor of w? False Let z = 14 + -10. Does 3 divide z? False Let c(i) = i**3 + 5*i**2 - 8*i - 9. Let q be c(-6). Suppose -q*f = -6*f + 135. Is f a multiple of 15? True Suppose -r - 2*r = 36. Is 14 a factor of 2 - (-3)/(r/(-160))? True Suppose -3*a + 3*v + 151 + 44 = 0, 4*a - v = 248. Is 9 a factor of a? False Suppose 6*s + 21 = 273. Is 10 a factor of s? False Let w be (16/12)/((-1)/(-3)). Suppose w*o + 10 - 193 = -5*v, -5*o = v - 24. Is 17 a factor of v? False Let u(s) = -2*s - 20. Let x be (-1)/((-1 - -3)/34). Is u(x) a multiple of 13? False Suppose 3*v = f - 15, -2*f = -8*v + 5*v - 18. Suppose 0 = f*h - h. Let b(a) = -a + 13. Is 7 a factor of b(h)? False Let f be -6*((-15)/(-9))/5. Does 8 divide f/6 + (-43)/(-3)? False Let c(n) = 4 - 3 + 7*n - 4. Let j(s) = s**3 + 3*s**2 - 2*s - 3. Let d be j(-3). Does 11 divide c(d)? False Let p = 224 - 126. Is 16 a factor of p? False Suppose 0 = -0*h + 4*h - 408. Suppose 0*p = -3*p + h. Is p a multiple of 13? False Suppose 0 = -2*q + 5*l - 46, 0 = -0*l + 4*l. Let c = 37 + q. Is c a multiple of 14? True Suppose 3*v = -10 - 2. Let k be 48/(-9)*24/(-16). Is 9 a factor of k/v - (-1 - 26)? False Is 15 a factor of (-1)/(-2)*(24 - -10)? False Suppose -5*n = -66 - 24. Does 6 divide n? True Let j = -5 + 8. Suppose -3*c + c + 104 = 2*b, 5*c = j*b + 228. Is 12 a factor of c? True Suppose 2*m - 94 - 184 = 0. Is 28 a factor of m? False Is 12/30 + 238/5 a multiple of 24? True Suppose i = -2*p + 28, 2*i + 2*i - 16 = 0. Does 6 divide p? True Let m(h) = -116*h - 72. Let s(i) = 21*i + 13. Let q(l) = 5*m(l) + 28*s(l). Is 22 a factor of q(5)? True Let u = 224 - 48. Is u a multiple of 44? True Suppose 2*q - 336 = h, 2*h + 28 = q - 140. Does 12 divide q? True Let w(u) = u**2 + 5*u. Does 3 divide w(-6)? True Suppose 3*b - 136 = 68. Is b a multiple of 17? True Does 5 divide -2 - 0 - (-20 - -3)? True Let x = -33 - -79. Is x a multiple of 6? False Let g be 6/4*-1*-18. Suppose 0 = 3*w + 129 + g. Does 13 divide w/(-3) + (-4)/(-6)? False Let b = 0 - -18. Is 10 a factor of b? False Let p(m) be the third derivative of m**6/120 - m**5/10 + 7*m**4/24 - m**3/2 + 2*m**2. Does 13 divide p(6)? True Let y(n) = -n**3 + n**2 - n - 24. Let l be y(0). Is 7 a factor of 3*(l/(-9) - 0)? False Let m = -4 - -4. Is 1 + (m + 0 - -1) a multiple of 2? True Let w(i) = i**3 - 3*i**2 + 3*i. Suppose 18 = -q - 4*f, 0*q - 5*f - 15 = 5*q. Let s be w(q). Suppose 5*a - 58 = 2*a + b, -s*b = 3*a - 46. Is a a multiple of 9? True Let r be ((-508)/(-8))/(2/4). Let i = -14 - -44. Suppose -3*p - 145 = -5*g + i, 4*g - 5*p = r. Is 19 a factor of g? True Let y(w) be the first derivative of 2*w**3/3 - w**2 + 2*w - 3. Is y(5) a multiple of 21? True Let x = 26 + 106. Suppose -6*b = -2*b - 16. Suppose b*k - x = -4*g, 3 = -k - 2. Is 10 a factor of g? False Let w = -79 + 205. Is 42 a factor of w? True Is 32/1*1/8*14 a multiple of 14? True Is 13 a factor of (-5 + -1)/3 - -29? False Suppose 0 = 2*s + 2*s - 20. Suppose -s*u - 120 = -9*u. Is 10 a factor of u? True Let j(c) = 7*c**2 + 19*c + 12. Does 16 divide j(-4)? True Let o(j) = 8*j. Let w be o(2). Let t = w + -10. Does 3 divide t? True Suppose 0*k - 24 = -4*k. Suppose 4*r + 8 = -0. Is 10 a factor of k*((0 - r) + 2)? False Suppose l + 3*n + 23 = 0, 4*n = 3*l + 3*n + 39. Let z be (-10)/4 - (-1)/2. Let x = z - l. Is x a multiple of 5? False Suppose -7 - 5 = -3*i. Suppose 0 = i*y - 8, -4*m - m = -3*y - 94. Does 5 divide m? True Let h(g) = -3*g - 4 - 1 + 14*g. Let u(r) = -4*r + 2. Let f(i) = -3*h(i) - 8*u(i). Is f(-5) a multiple of 4? True Suppose 8*n - 4*n = 28. Is n a multiple of 2? False Suppose -305 = -5*o - 4*y, 0 = 3*o - 4*y - 64 - 119. Is 33 a factor of o? False Suppose -3*s - 1 = -2*s. Let c = s - 0. Is 6 - 5 - (-21 + c) a multiple of 11? False Suppose -20 = -5*s - 0. Is s a multiple of 4? True Is 15 a factor of ((-17)/34)/((-2)/720)? True Let b = -3 + 14. Let j = b + -8. Suppose 0*u - j*u + 102 = 0. Does 12 divide u? False Does 5 divide 2/5*360/9? False Let i = -83 + 131. Suppose 3*l - l - i = 0. Is 16 a factor of l? False Let a(h) = 3*h + 1. Let l be a(1). Let s(p) = -p**3 + 4*p**2 - 2*p - 1. Let i be s(2). Suppose 0 = -l*u + i*u + 3. Is u a multiple of 2? False Let u(p) = p**3 + p**2 + p + 27. Let o be 0*(-5 - -3 - -1). Is u(o) a multiple of 8? False Let y(d) = -d**3 - 6*d**2 + 9*d + 6. Let k be y(-7). Let z = 4 + k. Let s(i) = -4*i - 4. Does 6 divide s(z)? True Let r = 48 - 29. Is r a multiple of 6? False Let u(z) = -z**3 + 8*z**2 - 9*z. Let g be u(6). Suppose -4*b + 4*a + 160 = 0, -5*a + 8 = b - 2. Let c = b - g. Is c a multiple of 11? False Suppose -4*b = 2*d + 30, -b - b + 37 = -3*d. Let z = 35 + d. Is 8 a factor of z? False Suppose -4*l - i + 127 = 0, -6*l + 104 = -3*l - i. Is 14 a factor of l? False Let u = 75 + -29. Let h = -5 + u. Is 13 a factor of h? False Suppose 13*r - 12*r = 45. Is r a multiple of 4? False Let s be (0 - -1)/(3/(-51)). Suppose -l - 17 = -4*o + 7, -l = -o + 9. Let x = l - s. Is x a multiple of 11? False Is 8 a factor of (12/8)/1*112/3? True Let n = -4 - -6. Suppose 0 = -2*k - 3*a + 14, -n*k = -k - 3*a - 7. Does 5 divide k? False Let f(j) = j**3 + j - 2*j**2 + 3*j**2 + j**2. Let n(v) = -v**3 - 10*v**2 - 10*v - 7. Let s be n(-9). Does 9 divide f(s)? True Let s be 25/(-9) + (-2)/9. Let g = -106 + 180. Does 11 divide s/(-3)*g/2? False Suppose -5*n = -2*l + 24, -2*l + 4*n = -0*n - 20. Suppose l*z + z = 36. Let t = z + -8. Does 3 divide t? False Suppose -5*c - 52 = -6*c. Suppose -2*u + z + 74 = 0, 4*u - 96 = 4*z + c. Is u a multiple of 8? False Let u be (-156)/(-7) + (-10)/35. Let o = u - 12. Does 10 divide 4/(2 - 16/o)? True Suppose 3*p + 2*p + 4*v = 198, 108 = 3*p - 3*v. Does 8 divide p? False Let k(p) be the third derivative of 11*p**6/120 + p**5/60 - p**4/24 - p**3/6 - 3*p**2. Let t be k(-1). Is 9 a factor of ((-72)/20)/(2/t)? True Suppose z + 3*k - 31 = 0, z - 12 = -z + 4*k. Does 4 divide z? True Let r be (-63)/14*(-2)/3. Suppose -77 = -r*m + 58. Suppose -m = -d - 2*l, 3*d + 0*l = -5*l + 130. Is d a multiple of 13? False Let j(q) = -q**3 + q + 27. Let d be j(0). Suppose 3*k = -0*k + d. Is k a multiple of 3? True Suppose -4*k = -2*m, -5*k - m + 26 = 3*m. Suppose -i + j = 3*i - 43, 5*j + 17 = k*i. Is 9 a factor of i? False Suppose 0 = 2*i - 5*n + 2 - 1, 0 = 5*i + n - 38. Let b(d) = 6 - 2 + 1 + 5*d. Is 16 a factor of b(i)? False Suppose 6*w + 4*n - 3 = 3*w, 5*n - 24 = 3*w. Let r be 4/6*w + 2. Suppose -2*s + 42 + 26 = r. Is 1
{ "pile_set_name": "DM Mathematics" }
14 = -12*a + 11*a. Let m = -370 - a. What is the tens digit of m? 4 Suppose 17237 + 12058 = 21*u. What is the tens digit of u? 9 Suppose -29*r = -21507 - 17556. What is the tens digit of r? 4 Suppose -2*p - 3544 = -5*g - 38493, -87365 = -5*p + 5*g. What is the tens digit of p? 7 Suppose 0 = 4*s - w - 106977, -3*s - 25*w + 80254 = -30*w. What is the tens digit of s? 4 Let q(d) = 2*d**3 - 2*d**2 + 16*d + 3159. What is the thousands digit of q(0)? 3 Let x = 5518 - 2451. Suppose f - 4*h = 599, -f - 4*f - 4*h + x = 0. What is the hundreds digit of f? 6 Let f be -65*((-108)/20 - -5). Suppose -f = -5*u - 8*u. Suppose -u*h = w - 120 + 12, 4*w - 5*h = 445. What is the hundreds digit of w? 1 Suppose -72*h + 400 = -62*h. What is the tens digit of (h/(-12))/5 + 1054/6? 7 Suppose 2*w = -6, -2*l - 3*w - 81 = -3*l. Let f = l + 173. What is the units digit of f? 5 Let m(d) = -15*d**3 - d**2 + 2*d - 8. Suppose 0 = 27*b - 22*b + 15. What is the units digit of m(b)? 2 Suppose 880 = 94*z - 86*z. What is the hundreds digit of z? 1 Let v = -336 + 2105. Suppose -4*u - 14*n = -17*n - v, 3*n - 15 = 0. What is the tens digit of u? 4 Suppose -5*u - 4*i = -i + 9, -3*u + i - 11 = 0. Let a be 75/50*(-8)/u. Suppose -2*g - a = -3*g. What is the units digit of g? 4 Suppose 0 = -2*t - 251 + 253. What is the units digit of (-2500)/(-10) - 4/(1/t)? 6 Let u be 1886 + -2 - (-8)/(-2). Suppose -12*l - 116 = -u. Suppose 7*r - 1057 + l = 0. What is the hundreds digit of r? 1 Suppose -12*o = -8*o - 232. Let j = o + -50. Suppose 3 = g - j. What is the units digit of g? 1 What is the ten thousands digit of (1097*-2)/(30 - (-29440)/(-980))? 5 Let j be 6 + (-1 - (-4 + 1)). Suppose 5*o = -j - 7, -3*o - 9 = 4*l. What is the units digit of (-1 - l)/(5/(-35))? 7 Suppose 3*z + 5*y + 7090 = 0, y + 2354 = -z - 3*y. Let h = z + 3818. What is the thousands digit of h? 1 Let x(b) = -23*b**2 - b + 3. Let t be x(2). Let z = -95 - t. What is the units digit of (-238)/z*192/112? 2 Let u = -95 + 113. Let m(p) = p**2 + 10*p - 19. Let z be m(u). Suppose 6*k - z = k. What is the units digit of k? 7 Let z(n) = 60*n**2 + 6. Let s be z(2). Let v = 64 + s. What is the tens digit of v? 1 Let r(a) = 20*a - 186. Let z be r(12). Suppose -b = 2*n + 71 + 4, -3*n - 4*b - 120 = 0. Let v = z + n. What is the units digit of v? 8 Let u(k) = 2*k**3 + 17*k**2 + 8*k - 73. What is the tens digit of u(8)? 0 Suppose 44 = 6*t + 5*t. Let f be (-56)/(-21)*((-35)/t - -2). What is the tens digit of 131 - f/(-27)*(-6)/(-4)? 3 Suppose 2*r - 9051 = 3881. What is the tens digit of r? 6 Suppose -438 = g + g. Let s = g + 402. Suppose 4*h + 3*q - s = 0, -2*h - 6*q + 10*q + 86 = 0. What is the tens digit of h? 4 Suppose -t + 20 = 3*t. Suppose -212 = -8*w + 6*w + 2*p, -t*p = 4*w - 451. What is the tens digit of w? 0 Let g = -2335 + 2317. Let z(t) = -5*t**3 + 17*t**2 - 26*t - 12. Let c(k) = -k**3 - 1. Let l(j) = -6*c(j) + z(j). What is the units digit of l(g)? 8 What is the thousands digit of ((-84)/(-10) - 40/100) + 20441? 0 Let v = 688 + 644. What is the thousands digit of v? 1 Let x(s) be the first derivative of -s**3/6 + 33*s**2/2 - 14*s - 13. Let p(j) be the first derivative of x(j). What is the tens digit of p(18)? 1 Let m be (20 - 19)*58/1. Let j = 316 - m. Suppose -j - 206 = -4*y. What is the hundreds digit of y? 1 Let k(i) = 18*i**2 - 15*i - 2. Suppose 9*w + 11 + 25 = 0. What is the tens digit of k(w)? 4 Suppose -75*r - 508670 = -1848020. What is the ten thousands digit of r? 1 Let b(y) = -13*y**2 + 9*y**2 + 3*y - y - 3*y. Let f be b(-1). What is the units digit of 1/f*(2 - 35)? 1 Suppose 9*f + 4 = 5*f. Let k be 3/(f + (-20)/(-32)). Let b(v) = -v**2 - 9*v + 3. What is the units digit of b(k)? 1 Suppose -22167*o + 22158*o = -472572. What is the tens digit of o? 0 Suppose -5*w + 3*b = -73184, -2*w - 4*b - 58536 = -6*w. What is the thousands digit of w? 4 Suppose 499*g = 456*g + 215129. What is the tens digit of g? 0 Let m be (2/7)/(-1) + 26/91. Suppose 3*l - 9 - 6 = m. Suppose 0 = -l*c + 180 + 220. What is the tens digit of c? 8 Let o = -3304 - -4181. Let x = -9 - -13. Suppose 2*z + 6*s - 433 = s, -o = -x*z + s. What is the hundreds digit of z? 2 Let m be (4 - -38)/(-7) + 6. Suppose m = g + 3*g - 3192. What is the hundreds digit of g? 7 What is the tens digit of (-21 - -23)/(6680/(-6682) + 1)? 8 Suppose 3*a = 4*b - 59648, 3*b - 27657 = -3*a + 17058. What is the hundreds digit of b? 9 Let g(v) = 115*v**2 + 22*v - 250. What is the hundreds digit of g(7)? 5 Let p(f) = 8*f + 61. Let b(k) = k**2 + 15*k + 4. Let y be b(-15). Suppose y*x = -2*o + 58, -4*x + 4*o - 42 = -130. What is the hundreds digit of p(x)? 1 Let r(l) = -3*l + 1. Let c be r(-1). Let n(w) = -19*w**3 + 3*w**2 + 8*w + 3. Let i be n(-1). Suppose i = c*t + 1. What is the units digit of t? 4 What is the hundreds digit of -127*1*(-110)/154*35? 1 Let t(s) = -284*s**3 + 2*s**2 - 6*s - 38. What is the thousands digit of t(-5)? 5 Let i(k) = 17*k - 296. Let o be i(17). Let t(s) = -21*s - 27. Let h(b) = 14*b + 18. Let a(w) = -8*h(w) - 5*t(w). What is the tens digit of a(o)? 4 What is the tens digit of (10/(-9))/1 + 286659662/3609? 2 Suppose -559*r + 5*d - 128370 = -564*r, 102688 = 4*r - 4*d. What is the thousands digit of r? 5 Let a = 55 + -55. Let i(q) = 2*q + 36. Let n be i(-17). Suppose -99 = -h - 4*j + 49, a = h + n*j - 140. What is the hundreds digit of h? 1 Suppose 4 = 2*z - 4*t, -4*t + 9*t - 25 = -5*z. Let o be ((-1)/(-2))/(z/(-48)). What is the units digit of (-1 - o) + 71 + 0 + -1? 5 Let c(p) = -4 - 126*p**2 + 65*p**2 + 3*p + 58*p**2 - 17*p**3. Let w be c(2). Let h = -29 - w. What is the hundreds digit of h? 1 Let f be (-2)/(-1)*19*1. Let s = 41 - f. Suppose -152 = -s*w + 154. What is the units digit of w? 2 Suppose 0 = -o + 7*o + 17400. What is the tens digit of 33/2*2*o/(-174)? 5 Suppose a - 3*i + 217 - 3478 = 0, -5*a - i = -16337. What is the units digit of a? 7 What is the hundreds digit of (((-117620)/15)/(-1))/((468/(-27))/(-13))? 8 Let m(u) = u**3 - 48*u**2 - 73*u - 215. What is the hundreds digit of m(50)? 1 Suppose 3*d + 8*v - 3624 = 19315, 0 = -3*d + 4*v + 22915. What is the thousands digit of d? 7 Suppose 6*c + 4*c = 2460. Let h = c + 32. Suppose 7*s - h = 681. What is the hundreds digit of s? 1 Let i = 2539 + -2457. Suppose 10*a - 5*a = -l - 41, -4*l = 5*a + 104. Let c = i - l. What is the units digit of c? 3 Let u be (-121194)/(-108) + 3/(-18). Let m = 2714 - u. What is the thousands digit of m? 1 Suppose 50277 + 46275 = -17755*v + 17779*v. What is the tens digit of v? 2 Let q(i) be the second derivative of i**4/12 + 8*i**3/3 - i**2/2 - i + 53. Suppose -5*k = -2*n - 39, -2*n + 3*n - 4*k + 21 = 0. What is the units digit of q(n)? 6 Let m(x) = x**2 + 975. Suppose 0 + 0 = 21*p. What is the tens digit of m(p)? 7 Let o be -3 + 5 + -1 + 18/(-6). Let s be (-6)/(1 - (-5)/(-2)). What is the tens digit of o + 3 + 100 - s? 9 Suppose 9*s - 16 = 11. Suppose -s*g + 15 = -12. What is the hundreds digit of 1857/12 + g/36? 1 Let c = 676 + -388. Let m = -2414 + 2421. Suppose -m*l - c = -9*l. What is the units digit of l? 4 Let v = -49 - -19. Let m be -3*145/v*4. Suppose -c = 4*f - 205, -m = -f + 2*c - 0. What is the tens digit of f? 5 Let j = 102555 + -66602. What is the tens digit of j? 5 Suppose -78278*q + 78269*q = -255285. What is the ten thousands digit of q? 2 Let z = -201 + 200. What is the units digit of 12/(-18) + 6621*z/(-9)? 5 Let s(u) = 11*u + 4. Let k be s(2). Suppose -4*t - a - 260 = -k, -3*t - 2*a - 178 = 0. Let g = t - -108. What is the units digit of g? 0 Let d be (2 - 1)/(-7*10/(-70)). What is the hundreds digit of (-3*(-10359)/108)/(d/4)? 1 Suppose -104627 = -137*j + 223625. What is the tens digit of j? 9 What is the hundreds digit of -12*(9416/(-16) + 5)? 0 Let z(u) = 2*u + 5. Let t be z(-2). Let g be 58/10 - t/(-5). Let l(b) = 4*b**2 - 16*b + 6. What is the tens digit of l(g)? 5 Let j(x) = 4*x**2 - x - 8. Suppose 13*f = 16*f - 15. Suppose -g = -5*y + f - 16, 2 = -2*y + g. What is the units digit of j(y)? 1 What is the thousands digit of (-942)/2512 - 62979/(-8)? 7 Suppose 0 = -4*g - 0*g + 8. Suppose 0 = -3*u - g*l + 468, 0 = -0*l + 2*l - 6. Let f = -95 + u. What is the units digit of f? 9 Let y = -3490 + 4082. Let j = 85 + -57. Suppose 5*x - y = j. What is
{ "pile_set_name": "DM Mathematics" }
What is the common denominator of a and -5/732? 5856 Suppose -7*a + 3*a + 216 = 0. Suppose 0 = 3*u, 3*l + u + 26 = 248. Calculate the common denominator of 131/6 and l/12*(-9)/(a/(-8)). 18 Let n = -1/132680 - -1957107/10216360. Calculate the common denominator of 19/8 and n. 616 Let u be (1 + -1)*(-1 + 0). Suppose u*w = -w + 1. Suppose -47*t + 47 = -297 + 15. Calculate the least common multiple of w and t. 7 What is the lowest common multiple of 4350 and (-6)/8*(-104 - -60)? 47850 Suppose 17 + 11 = 2*r. Suppose 0 = 3*z - 15, 5*w + 15*z - r*z + 40 = 0. Let u = w - -21. Calculate the least common multiple of 8 and u. 24 What is the common denominator of (-54 - -1)*157/(-2826) and 7/1191? 7146 Let t = -17243/70 - -2959/10. Let x = -565/21 + t. Find the common denominator of 103/30 and x. 30 Let p = 3003 - 2871. Calculate the smallest common multiple of p and 528. 528 Let k = -345/8179 - -11518313/5095517. Let q = k - -6/89. What is the common denominator of (20 - -10)/5 - (-206)/(-16) and q? 56 Let a(f) = 9*f**2 + 165*f + 417. What is the lowest common multiple of (57/(-2))/((-2)/8) and a(-3)? 114 Let c(g) = -5427*g - 244. Calculate the smallest common multiple of 22 and c(-2). 116710 Let j(y) = 1686*y**3 - 2*y - 2. Let r be j(-1). Let x = r + 45449/27. Calculate the common denominator of 1/48 and x. 432 Let m = -6622444/181 - -36588. What is the common denominator of (-91)/12 - (-7)/28 and m? 543 Let d = 589604 + -886764347/1504. What is the common denominator of d and 103/564? 4512 Suppose -4*r - 3*a + 8283 = 0, 4*a - 418 + 2522 = r. What is the lowest common multiple of 12 and r? 2076 Let z be (-235)/1*(-72)/(-120). What is the common denominator of (z/81 - -2)*30 and -10/9? 9 Suppose -4*t + 12420 = 22*t + 43*t. Calculate the smallest common multiple of t and 24. 360 Let x be 2 + (-811 - 4)/(-5). Calculate the common denominator of 41/x - (0 - (-18)/(-30)) and 91/6. 66 Let f = 39365/6 + -6556. Find the common denominator of f and 101/1248. 1248 Let k(b) = -9*b + 7. Let y be k(0). What is the lowest common multiple of 20/(-70) - (-128)/y and 13 + (-1)/(-4) + (-30)/24? 36 Let x = -30157/1302 - -13/62. Let n = x - -81/14. Calculate the common denominator of 19/12 and n. 12 Suppose 3*u + 5*v + 171 = 0, -u + 4*v = -3*u - 112. Let l = -61 - u. Suppose -5*n = 10, 2*t + 4*n + 0 = 6. Calculate the smallest common multiple of t and l. 7 Let i = 764 + -737. Let m = 71 + -44. Calculate the smallest common multiple of i and m. 27 Calculate the common denominator of 16 - (788/56 + 5) and -139/1242. 8694 Suppose 0 = q + 3*v - 116, -2*q - 5*v = -105 - 131. Calculate the lowest common multiple of q and 28. 896 Suppose 102*c = 130*c - 420. Suppose 0 = l + 8*l - 216. What is the least common multiple of c and l? 120 Let u = -15513/13825 + 90/79. Let c = u - 3229/525. Calculate the common denominator of c and 32/25. 75 Let s be 1/((2/(-28))/((-66)/4)). Let u be (-128)/(-22) - 7/(s/(-6)). Suppose -26 - u = -4*v. Calculate the lowest common multiple of v and 2. 8 Let g(w) = w**2 - 17*w + 15. Let h(o) = -o**2 + 21*o + 39. Let i be h(22). Let k be 6/(-10) + 63/105 + i. Calculate the lowest common multiple of g(k) and 21. 105 Let j = -13 - -82. Suppose 3*m + j = 2*a, -m - 27 = 3*a - 136. Find the common denominator of 83/84 and (-2)/a*((-4)/2 - -151). 252 Let v = 48969/14 - 3497. What is the common denominator of 83/10 and v? 70 Let m be (3177/(-2808))/(4/27). Let f = m - -107/13. What is the common denominator of f and -61/18? 288 Let v = 60 - -1. Let l = 70 - v. Calculate the lowest common multiple of l and 60. 180 Let w be 9/3 - (-1 - 4745). Let l = -170953/36 + w. What is the common denominator of 16/(-4) + (-26)/(-24) and l? 36 Let m be (-8)/(-12) - (-152)/6. Suppose m*a = 16*a + 560. What is the least common multiple of a and 10? 280 Suppose 0 = 2*p - 4*x - 50, -4*x = 2*p - 0*x - 34. Calculate the common denominator of (2084/336 - -3) + (-6)/p and 65/24. 24 Let u = 15278807/177 - 108953289547/1262010. Let p = 5396 - 7694695/1426. Let a = p - u. Find the common denominator of a and -23/2. 10 Let b be (0 + -1)*(-19 - -25). Let r(p) = -p + 1. Let q(i) = 3*i - 14. Let z(j) = b*r(j) - q(j). What is the least common multiple of z(2) and 10? 70 Calculate the smallest common multiple of 600/350*182/3 and 20. 520 Let l = 19/23 - -859/46. Let q be -2 - ((-430)/(-60))/((-26)/(-878)). Let u = q - -244. What is the common denominator of l and u? 78 Let f = 501/107 - -308763/214. Suppose 3*q + 5 = -2*q, 5*u = 4*q + 7064. Let v = f - u. Find the common denominator of v and -145/6. 6 Let w = -294 - -421. Suppose -5*i + w + 93 = 0. Let q(v) = -v**3 - 12*v**2 - 23*v - 14. Calculate the smallest common multiple of q(-10) and i. 176 Suppose -6*w + 1170 = -3*j, -31*j + 33*j = w - 198. Calculate the lowest common multiple of w and 214. 20758 Calculate the common denominator of -51/95 and (59 - 49 - 2722/272)/((-38)/(-50)). 12920 Suppose 20*u - 10*u = -2880. What is the common denominator of 71/99 and (u/20)/(3 - (-20 + 1))? 495 Calculate the common denominator of (-16)/(-40) + (-40520)/99175 and -17/3. 11901 Suppose 5*t = -3*g - 5 + 43, t - 8 = -g. Find the common denominator of t/(-30)*1/((-28)/556) and -19/33. 330 Let s = 7079 - 7067. Calculate the lowest common multiple of 8 and s. 24 Let f = -39538 - -3400323/86. Find the common denominator of -79/334 and f. 14362 Suppose 2630 = 6*y + 8030. Find the common denominator of 12/(-27) + (3970/y - -5) and 8/45. 90 Suppose 0 = 2*n + m - 3*m - 32, 38 = 3*n - 5*m. Suppose n*p - 569 = -65. Calculate the least common multiple of p and 3. 24 Find the common denominator of (2644/60 - 6/(-10))*(-48)/(-448) and -21/926. 6482 Let v be ((-110)/3)/(10/(-15)). Let o = 34 - v. Let n = -12 - o. Calculate the smallest common multiple of n and 33. 99 Let x(k) = 730*k**2 - 60*k - 48. Calculate the least common multiple of 636 and x(-1). 4452 Let r(g) = -69*g**3 - 11*g**2 - 14*g - 3. What is the least common multiple of 91 and r(-2)? 3731 Let c be (-2)/6*(-31604)/(-596). Let z = -4/447 - c. Calculate the common denominator of (-1392)/(-96)*4/6 and z. 3 Let t be (-3)/27 + 1917288/162. Let v = t - 142129/12. Find the common denominator of -139/6 and v. 12 Suppose 12814 - 1152 = 14*j. Calculate the lowest common multiple of 11 and 98/j - (-10)/(-17)*-61. 396 Calculate the smallest common multiple of 14 and -2 + 6173 - ((10 - -3) + -4). 43134 What is the lowest common multiple of (-30)/3 + 306 + -20 and 345? 1380 Find the common denominator of (2560/(-2100) + 4/(-10))*-3 and 9794/27848 - (-2)/4*-1. 1652 Let j = -7125583/50527050 - -7/96242. Calculate the common denominator of j and 1/132. 23100 Let b = 2541 - 2496. Calculate the smallest common multiple of b and 90. 90 Let c = -4836933/125 - -38695. Let g = 1351/375 - c. Find the common denominator of -95/18 and g. 90 What is the smallest common multiple of 511 + ((-14)/(-4))/((-11)/22) and 504? 504 Let c = 106533 - 11079325/104. Let u = 17/627 - -14/57. Calculate the common denominator of c and u. 1144 Find the common denominator of 28/435 and 108/3942 + 39180/(-342954). 3915 Let v = -22674838/911 + 24890. Let p = v + 64779/36440. What is the common denominator of -7/80 and p? 80 Let y(l) = -l**3 - 3*l**2 + l - 2. Let n be y(-4). Let c(s) = -s**2 + 12*s - 14. Let i = -10112 - -10126. What is the smallest common multiple of i and c(n)? 42 Find the common denominator of 151/168 and ((-118)/(-70))/(100/(-250)). 168 Calculate the common denominator of 46/11 and ((-5)/30)/((-8)/(-186))*2. 44 Let d(j) = j**3 + 13*j**2 + 32*j - 2. Let h be d(-8). Suppose h = 2*w - 4*z, w + 2*z - 44 = -5. Calculate the smallest common multiple of 65 and w. 455 Let x be (28478/29)/(0 + (-54)/37). Let j = -672 - x. What is the common denominator of -43/18 and j? 54 Let p be (-2184)/(-17712) + (-2)/18. Let l = 101/123 + p. Calculate the common denominator of l and -9 + 9 - 55/(-3). 6 Let k(n) = 3*n + 38. Let j be k(-11). Let d be 34518/(-27) + (2 - j). Let x = 1285 + d. What is the common denominator of x and 57/25? 225 Let c = 7133/10 - 714. Suppose -3*u = -5*u + 18. Calculate the common denominator of c and (3 - 2)*57/u. 30 What is the lowest common multiple of 11 and (-14658)/(-168) - 2*4/(32/5)? 946 Suppose -2*f + 4 = -20. L
{ "pile_set_name": "DM Mathematics" }
= 18942.9 - 15310. What is h rounded to the nearest 100? 3600 Let t = 198 + -198. Suppose -2*w + 6 = t, 95878 - 5722 = 5*s + 2*w. What is s rounded to the nearest one thousand? 18000 Let b = -24685 - -24684.958684. Round b to 3 decimal places. -0.041 Suppose 2*a = -2*u - 4, 9*a + 36 = 5*a + 3*u. Let i be (543000040/15)/(-4) + (-4)/a. Round i to the nearest one million. -9000000 Let i = 24.03 - 24.1439. Let c = 750.9 - 751. Let a = i - c. What is a rounded to 3 dps? -0.014 Suppose -252*k - 42*k + 2067183300 = -21*k. What is k rounded to the nearest 10000? 7570000 Suppose -26*y - 4330729790 - 2716870210 = 58*y. Round y to the nearest one million. -84000000 Let i be (-4765698)/81 + -1 + -3 + 12/(-54). Round i to the nearest one thousand. -59000 Let r = -5.179 + 5.53. Let g = -1.555 - r. What is g rounded to 1 decimal place? -1.9 Let g(y) = 1100003*y - 3. Let o = 31 + 4. Let j = 36 - o. Let n be g(j). What is n rounded to the nearest one million? 1000000 Let i = 0.454154 + 0.031306. Round i to two dps. 0.49 Let p be 1067913900/35 + 2/7. Let h = p - 17691826. What is h rounded to the nearest 1000000? 13000000 Suppose 69*x = 68*x + j - 19873, 59661 = -3*x - 3*j. Round x to the nearest 10000. -20000 Let p be -4 - (-204456)/(36/6). Suppose -81360 = 5*s - 10*s. Let x = s - p. Round x to the nearest ten thousand. -20000 Let y = 1611.9572 - 1600.694689. Let u = -25.262498 + y. Let a = u - -14. What is a rounded to 5 decimal places? 0.00001 Let f = -0.405 - 0.395. Let y = f + 0.801102. Round y to 4 decimal places. 0.0011 Let z = 77.79007428 - 77.79. What is z rounded to four dps? 0.0001 Let k = -5723933253 - -5721843641.99977. Let a = k - -2089468. Let q = a + 143. What is q rounded to 4 decimal places? -0.0002 Let s = -25883717.251939 - -31.251939. Let q = -25883688.019999462 - s. Let d = 2.02 + q. What is d rounded to seven decimal places? 0.0000005 Let z = -87 - -130. Let y = 244.134732 - 287.1347. Let v = z + y. What is v rounded to six decimal places? 0.000032 Let v = 27455223 - -92984777. Round v to the nearest 1000000. 120000000 Suppose -186*f = -201*f - 2242800. What is f rounded to the nearest one thousand? -150000 Let m = -0.2051782976 - -0.20517. Round m to six dps. -0.000008 Let f be (-2 + 1)*2 + 2032343 + 4. Let u = 3617345 - f. Suppose -u = 2*r - 7*r. What is r rounded to the nearest 10000? 320000 Let f be 564459/((-21)/((-14)/2)). Suppose -5*o - f - 876847 = 0. What is o rounded to the nearest one hundred thousand? -200000 Let x = -535.6 + 1353.7. Let v = x + -755. Round v to the nearest integer. 63 Let j = 7.266 + -541.016. Round j to the nearest ten. -530 Let a = -25.723 + 25.71981. What is a rounded to one decimal place? 0 Let k = -1243.06 - -1243.0600050503. What is k rounded to 7 decimal places? 0.0000051 Suppose 2*r = 4*p + 6, 5*p - 2 = r - 5. Let q be 3416828*(-1)/3*r. Let t = q - -1846828. Round t to the nearest 100000. -1600000 Let i = 9.421021808 + -9.421. What is i rounded to six decimal places? 0.000022 Let g be 3 - (24/(-20))/((-2)/5). Suppose -b = 3*j + 47, -4*j - 96 = -g*b + 2*b. Let c be 30*(-173 + 1)*b/(-15). Round c to the nearest one thousand. -17000 Let s = 374.97 - 374.969984383. What is s rounded to seven decimal places? 0.0000156 Let b(x) = -2*x**3 + 20*x**2 + 60*x - 1040. Let o be b(31). What is o rounded to the nearest one hundred? -39500 Let f = -0.436 + 2.206. Let y = 1.7576 - f. What is y rounded to 3 decimal places? -0.012 Let t be -342 + -5*(0 - 1). Let o = 110 - t. What is o rounded to the nearest 100? 400 Let w = 8937.290637 + -8946.08. Let h = w + 8.79. What is h rounded to five decimal places? 0.00064 Let v = 28601766.100579 + -28601790. Let n = 23.9 + v. Round n to 5 decimal places. 0.00058 Let j = 13586.935 + -13618. Let z = j - -0.065. Let o = z - -29.5. Round o to the nearest integer. -2 Let d = 1133563.0022 + -1133657. Let f = 94.1663 + -0.1663. Let j = f + d. Round j to three dps. 0.002 Let q = -1017 + 1821. Let r = q - 769.6. What is r rounded to the nearest ten? 30 Let w = 14118 - 68585. Let g = w - -54462.8297. Let a = 4.19 + g. Round a to three decimal places. 0.02 Let t(d) be the first derivative of -15*d - d**2 + 20 + 89/3*d**3. Let g be t(13). Round g to the nearest 1000. 15000 Suppose -18*j + 599314 - 15766 = -55182. Let v(m) = -9204*m - 3. Let b be v(3). Let y = b - j. What is y rounded to the nearest 10000? -60000 Let k = 629 + -626. Suppose 0 = -2*j + k*j + 201. Round j to the nearest 100. -200 Let d = 13.145 + -13.2775. Round d to 2 decimal places. -0.13 Let i be ((-2)/4)/((-22)/44) - 1. Let q be -54000*(0 + i - (-660)/(-22)). Round q to the nearest one million. 2000000 Let i = -12.9 + -48.1. Let f = i + -129. Let p = f - -190.634. What is p rounded to 2 decimal places? 0.63 Let p = 0.254 - 0.25403382. What is p rounded to 5 decimal places? -0.00003 Let b = -1049.333 + 1539.3581. Let d = b - 490. Round d to 3 dps. 0.025 Let s = 27 - 22. Suppose -s*z - 4*g = -g - 7, -g = -3*z + 7. Let h be (2 - -198)/(z/5900). Round h to the nearest one hundred thousand. 600000 Let x = 0.007 + -46.007. Let m = x - -56. Let d = -10.00000025 + m. Round d to 7 decimal places. -0.0000003 Suppose -7*i + 2*n = 3468804 + 5782410, 0 = 4*i - n + 5286407. Round i to the nearest 1000000. -1000000 Let q be (-4)/(-18) + (-33)/27. Let h(l) = 153*l - 1. Let s(j) = 77*j. Let d(o) = -2*h(o) + 5*s(o). Let r be d(q). What is r rounded to the nearest 10? -80 Suppose -4*u = 4*g + 104, u + 4*g = g - 36. Let j = 28 - 20. Let x be (-227500)/j*14400/u. Round x to the nearest one million. 20000000 Suppose -4*o = 3*n + 1536666, -29*o + 26*o = -n - 512183. What is n rounded to the nearest 1000? -512000 Let w be 2/(-12) - (-5973)/198. Let i be 777/(-4)*(-320)/w*-1250. Round i to the nearest one hundred thousand. -2600000 Let c = -132.14 + 1.09. What is c rounded to the nearest 10? -130 Suppose -4*c + 24*a + 15131620 = 29*a, -3*a = 3*c - 11348712. Round c to the nearest one hundred thousand. 3800000 Suppose -7*s + 2*p + 38 = -2*s, -5 = -5*p. Suppose -s*a + 14*a - 444 = 0. Round a to the nearest 10. 70 Let a(r) = -80*r - 5573. Let x be a(-27). Round x to the nearest 100. -3400 Let l = 1178.60111 - 1166.601. Let w = 30.1 + -42.1. Let j = l + w. What is j rounded to four dps? 0.0001 Let q = 7540 + -7725.89. Let x = -0.165 - 184.835. Let m = q - x. What is m rounded to 1 dp? -0.9 Let l be ((-9)/3)/((-6)/32). Suppose 8*a - 12*a = -l. Let i be (-6)/a*-2 + 11340081/(-27). What is i rounded to the nearest 100000? -400000 Let y = -13.077 + 13.99. Let b = -12.931 + y. Let q = b - -11.9. What is q rounded to two decimal places? -0.12 Let d = -46.244 - -47. Let y = d + -0.7559159. Round y to five dps. 0.00008 Let k = -928 + 927.589. Let o = -0.42 - 0.02. Let s = k - o. Round s to two decimal places. 0.03 Suppose -2*x - i + 5 = -3, 2*i = -x + 1. Suppose -3 = -4*n + x. Suppose v + 11198 = d, d - 2211 = -n*v + 8993. Round d to the nearest one thousand. 11000 Let g = 146914 - 146920.7483. What is g rounded to 1 decimal place? -6.7 Let o = 2410 - 2409.9998771. What is o rounded to 4 decimal places? 0.0001 Let a = -46394 - -46705.499. Let j = a - 313.5. Let z = j + 2. Round z to four decimal places. -0.001 Let b(d) = 12*d - 18. Let o be b(7). Suppose -63*r + 4590000 = -o*r. Round r to the nearest 100000. -1500000 Suppose 1085*i + 94645000 = 1062*i. What is i rounded to the nearest one million? -4000000 Let j(s) = s**2 + 4*s - 12. Let c be j(-5). Let l be ((233/(-2))/(-1))/(4/8). Let h be l - (1 - (c - -5)). Round h to the nearest ten. 230 Let m = -17.7768 - -17.7. Let c = m - 53.8232. Round c to the nearest ten. -50 Let k = -1234 - -2687. Suppose -2957 = 21*o + k. What is o rounded to the nearest 10? -210 Let i = 11978.9999990298 + -11979. Round i to seven dps. -0.000001 Let o = 3 - -20. Let c = 55257 + -55280.00275. Let l = c + o. What is l rounded to 4 dps? -0.0028 Let i = 781.29 + -233.41. Let y = 577 - i. What is y rounded to the nearest 10? 30 Let b = 1.6 - -9.8. Let w = -10.78 + b. Let f = w + -0.620000081. Round f to 7 decimal places. -0.0000001 Let r = -340131.0630606 + 340131. Let y = -0.063 - r. What is y rounded to 5 decimal places? 0.00006 Let o = -464.5 - -464.499413. What is o rounded to 4 dps? -0.0006 Suppose 80 = 18*p - 14*p. Let t(
{ "pile_set_name": "DM Mathematics" }
- 27. Solve 3*s + 3 = 2*o, -3*o + 4 = -4*s + i for o. -3 Suppose 0*l - 63 = 3*l. Let i = l + 24. Let b(j) = -j**3 - 2*j**2 - 1. Let u be b(-3). Solve 6 = i*m, 4*q - u - 18 = -3*m for q. 5 Let x be (-2 - -41)*5/15. Solve -2*o + 2*q + 6 = 0, -3*o + x - 5 = -4*q for o. 4 Let u(p) = p**3 + p**3 + 2 - 6*p + 5*p**2 - p**3. Let m be u(-6). Solve c + m*c = 4*a - 13, -7 = 5*a + 4*c for a. 1 Let k be ((-1)/2)/(2/44). Let u(j) = -2*j + 10. Let y be u(k). Solve 5*s - 4*n + y = -n, -4*n + 20 = -s for s. -4 Suppose 0*w + w = 5*p + 8, 3*p = 5*w + 4. Let y = 4 + w. Let i(g) = g**2 + 12*g - 8. Let r be i(-13). Solve 1 = -n - r*j, y*n + 3*j - 2 = 3 for n. 4 Let m(i) = -i + 5. Suppose 20 = j + 3*j. Let k be m(j). Suppose -5*h + 5 = 2*q - k*q, -3*q + 3*h = 3. Solve 20 = 5*z + f, -4*f = -q*z - z + 25 for z. 5 Let q be 2/1 + 4 - -1. Solve -v + q = -z, 2*v = -0*v + 10 for z. -2 Suppose 3*o = -4*l + 10, -3*l + 21 = -5*o - 1. Solve a - 4 = 4*u + l, 3*u - 4*a = -19 for u. -1 Let g be (1 - 1)*8/(-16). Suppose g = -3*n - 8 + 23. Solve 2*m - 10 = -n*f, -34 = -2*f + 3*m - 11 for f. 4 Suppose -5*x - 62 = 23. Let u = x - -29. Solve 7*c = 2*c - p - 12, 3*c = p - u for c. -3 Let t(m) = -23*m - 3. Let c be t(-1). Solve 2*q - 4*q - 8 = -2*l, 0 = -3*l - 5*q - c for l. 0 Let k be 2/(-8) + (-1)/(-4). Let t(w) = w + 8. Let z be t(-7). Let j be (z - 2)*(-4 - -4). Solve 2*g - 8 = j, k = 4*i - g + 9 + 15 for i. -5 Let c = 2 + 3. Let i(u) = -u - 1. Let b(h) = 9. Let d(r) = -b(r) - 6*i(r). Let l be d(4). Solve 20 = 5*j + c*q, l = 5*j + 4*q + 4 for j. 1 Let t = 49 + -39. Solve -16 = -2*k + 5*a, 7*k - 3*k = -a + t for k. 3 Let c be -2*14/21*6/(-4). Solve 2*h = -3*r, -c*h + 5*r - 12 = 4 for h. -3 Let n be ((-48)/40)/((-3)/5). Solve -a + 4*z + 11 = 0, n*a = a - 3*z - 10 for a. -1 Let f(m) = -m + 1. Let o be f(-4). Suppose -o*q = -3*c + 39, -3*q - 47 = -4*c + 2*q. Let z = c - 6. Solve r - p - 2*p - 8 = 0, z*r - 2*p = 0 for r. -4 Let h be (1/(-1))/(3/(-15)). Suppose 2*a - g = 8, 4*a - 2 = -0*a - h*g. Solve a*i - 10 = -4*n, 8*i = 3*i + 5*n - 30 for i. -2 Suppose -24 = 5*k - k. Let h be k/9 + (-2)/(-3). Solve h = -5*o - n - 15, -3*o + 0*o + 2*n - 9 = 0 for o. -3 Let v = -118 + 130. Let p(c) = -c**3 + 4*c**2 + c. Let y be p(4). Solve 4*u - 16 = 0, -b - v = -y*u + 7 for b. -3 Suppose 0 = 3*v - 6 + 30. Let z = -6 - v. Suppose -4*j - 50 = -2*x, -x + 5*j - 139 = -5*x. Solve -r - d - 18 = -4*d, -x = z*r - 5*d for r. -3 Suppose 7*n + 7 = 35. Solve j + 6 = -n*i, 4*j - 4*i + 3*i = -7 for j. -2 Let r = 117 - 115. Solve 0 = 2*a + r*a + 3*s + 32, 5*s + 20 = 0 for a. -5 Let h = -4 + 10. Let p = h + -1. Solve -4*y - 16 = 0, 0 = -5*s + p*y + 4 + 6 for s. -2 Let v = 29 + -17. Solve -3*o + 6 = u, 2*u = 3*o - 3*u + v for o. 1 Suppose -a - 4*a = -b - 19, a - 7 = b. Let k be 1 + 0 - -18 - -1. Let j = 33 - k. Solve 2*h = a*x + j, 3*h - 2 = -2*x - 15 for h. -1 Let r be 0/((1 - -1)/(-1)). Suppose 3*t - 13 = -5*i + 2*t, 2*t = 3*i. Solve 7*s = -2*m + 2*s + i, r = -3*m + 5*s + 3 for m. 1 Let c = 3 + -5. Let h be (c/(-3))/((-4)/(-6)). Solve 2*s = 5*g - 2*g - h, -24 = -4*g - 3*s for g. 3 Suppose 0 = 6*r - r - 3*r. Solve 8 = -r*m + 2*m - 4*b, 4*m - 5*b = 16 for m. 4 Let j(o) = -o - 1 + 2*o - 2*o + 0*o. Let s be j(-3). Let y be (6/s)/((-3)/(-5)). Solve 0 = 2*v - 3*h + 16, 0 = -6*v + 3*v + y*h - 26 for v. -2 Let w(h) = -3 + h + 3 - 3 + h**2 + 4*h. Let c be w(-6). Solve 0 = -5*x + a - c*a, -a = -5*x - 15 for x. -2 Let z(u) = 5*u**2 + 2*u + 1. Let v be z(2). Suppose 36 = -0*s - 4*s. Let g = v + s. Solve 0 = -j - 3*m, 4*j - m = -j + g for j. 3 Suppose 1 + 11 = 6*r. Let w(f) = -f**3 + 6*f**2 + f - 2. Let v be w(6). Let s = v - r. Solve z + s = 3*n - 4*z, z - 6 = -n for n. 4 Suppose -u + 3 = -t - 0*t, t = 2*u - 8. Suppose 17*n = 21*n - 4. Let m be 6/t*(n + 0). Solve q + 27 = 5*c + m, c = -2*q - 4 for q. -4 Let z be 1*(-6)/(-2) + (-60)/(-60). Solve z*i + 0*i - 3*o = 0, 2*i = o for i. 0 Suppose -8 = -7*a + 13. Solve 4*x = a*m, 4*m = x + 2*x for x. 0 Suppose 155 = 3*t + 41. Let b = t - 18. Let x be ((-2)/4)/((-2)/b). Solve 4*i - 4 = x*m, -3*i + 3 = -0*m + 4*m for i. 1 Let c = 9 + -6. Solve -5*f = 4*u - 0*u - 22, 0 = -c*u + 5*f - 1 for u. 3 Let f(p) = 2*p**3 - 11*p**2 - 7*p + 6. Let j be f(6). Solve j = 2*w + 8, -3*c = 2*w + 1 + 4 for c. 1 Let b be 54/13 + (-4)/26. Solve r = b*y - 12, -4*r - 11 = 3*y - 1 for r. -4 Let w = -29 + 33. Suppose 65 = 3*d + c, 3*c = 4*d + c - 100. Suppose 4*b = i + 1 + d, -2*i + 12 = w*b. Solve -b*y + 3*j - 6 - 1 = 0, 4*j + 2 = y for y. -2 Let n be (-20)/12*(2 - 5). Let s be 2 + (4*n)/(-2). Let z be (-2)/s - (-23)/4. Solve 2*h - 3*r - z = 0, r + 6 = 3*h - 2*r for h. 0 Suppose 2*n - 27 = -n. Let q = n - 4. Solve -6*f + 2*f = q*z - 1, 4*z - 8 = 4*f for f. -1 Let r(k) be the first derivative of -k**3/3 - 17*k**2/2 - 13*k + 7. Let i be r(-16). Solve -3*m = i*b + 15, m + 0*m - 11 = 3*b for b. -4 Let n = 4 + -9. Let a = -4 - n. Solve 0 = -4*p - 4*b + 28, -3*p + 2*b = -0*p - a for p. 3 Let t be 24/60 + (-16)/(-10). Solve 4*w = -5*h + 2, t*h - 4 = -3*w - 3*h for w. -2 Let h be -2 - ((-3 - 0) + 3 + -4). Solve 0 = -h*x - 2*t - 14, t = -x + 5*x + 18 for x. -5 Suppose 2*k - 1 = k. Solve k = 5*q + 21, v = 2*q + 10 for v. 2 Suppose 0 = -3*p - 0*p + 6. Solve 5*u = -p*n - 26, -3*n - 9 - 12 = 3*u for u. -4 Suppose -5*r + 3*o = -19, -o + 7 = -4*r - 6*o. Suppose -s = 3*s - 2*m - 44, -r*s = 4*m - 12. Let v = -23 - -25. Solve 3*q + 5*i = v*i + 6, i = 5*q - s for q. 2 Let p be (18/(-45))/(4/(-10)). Solve 4*c - 12 = 4*g, g + p = 5*c - 2 for g. -3 Let b = 0 + 0. Let n(r) = -r + 4. Let l be n(-1). Solve b*m + 4*m = p - 9, -l*m = 15 for p. -3 Let a be 13/3 - (-7)/(-21). Suppose l - 8 = -a*s + 6, s = -3*l + 9. Solve -3*f = g - 8, -3*f + l*g + 3*g = -14 for f. 3 Suppose 44*d = 39*d + 60. Solve 13 = 2*w - 4*h - 1, -4*w - 2*h = d for w. -1 Suppose -b + 3*t = -t - 36, -3*b + 72 = -3*t. Let v(w) = -w - 4. Let f be v(-5). Solve -p - 4*c = -f, c + 1 = -4*p + b for p. 5 Let l(f) = 2*f**2 - 5. Let w be l(-2). Solve 0 = -3*i - 12, -w*j + 14 = -5*i - 21 for j. 5 Let x be (5/(-10))/((-9)/(-10) - 1). Let y(o) = 2*o - 1. Let q be y(8). Let v = q + -11. Solve v*p - 6 = 2*l, -2*p + 2*l = 3*p - x for p. -1 Suppose 0 = -g + 6*g. Let u(x) = -x + 9. Let q be u(7). Solve -19 = -2*y - 5*a - g, -q*y + 4*a = 8 for y. 2 Suppose -16 = -2*d + 62. Solve t + 4*p = -21, 2*t - 5*p = -16 + d for t. -1 Let x(j) = -j**3 - 2*j**2 + 2*j + 1. Let r be x(-3). Solve 2*z + r*d - 14 = 0, -4*z + 3*d - 5 = -0*z for z. 1 Let i = -26 - -52. Solve -6 = 5*c + 2*d - i, 5*c = 2*d for c. 2 Let o = -14 - -97. Let u = o + -37. Let v = u - 22. Solve -4*l + 5*p - 21 = v, -4*p = 3*l - 5 for l. -5 Let p(g) = 3*g + 20. Let d be p(-5). Solve 0 = -3*y - y - d*s, -y + 2*s - 13 = 0 for y. -5 Suppose 0 = 2*r + 1 - 23. Let u = r - 9. Solve u*p - 4*f = -14, 3*f - 13 + 1 = p for p. 3 Suppose 11*k - 11*k = -3*k. Solve 4*b = -4, -10 = 3*o - 2*b - k for o. -4 Suppose 0 = 9*o - 14*o - 15. Let j be 60/(-2)*o/6. Solve -3*v - 5*q = 27, -4*q = j - 3 for v. -4 Suppose -4*r - 3 + 45 = 2*s, -r = 2*s - 12. Solve 2*g - r = -o, -4*o = g - 8 + 3 for g. 5 Let y = 38 + -34. Solve l - 4*l = -y*f - 1, -2*l - 4*f = -14 for l. 3 Let v be 17/3 + (-2)/3. Solve 0 = 5*p - v*r + 30, 0*r + 25 = 5*r for p. -1 Let v = -11 - -14. Solve 2*r + 26 = 4*i, -v*r + 9 = -2*i + 32 for r. -5 Suppose 0*j = 3*j + 5*m - 5, -9 = -3*j - 3*m. Suppose -5*t = -j*k, -6*k + 4*t = -3*k. Let b = 4 + k. Solve -25 = 3*o + 5*x, -b*o + 2*x - 18 = x for o. -5 Let b = 2 + -3. Let q = 2 - 3. Let s be b*(q - -3) + 3. Solve 7 = h + t, 0 = -h + 2*t - s - 1 for h. 4 Let j be (-80)/(-6) + 4/6. Suppose j = r + 5*h, -2 = -2*r - r + 5*h. Solve -2*a = 2*f + r, -f - 6*a - 2 = -a for f. -2 Suppose 12*z + 40 = 20*z. Solve 3*b - 2*b = z*w + 25, 5*b = 0 for w. -5 Let r = 1 + 0. Let a be (2 + (-2 - -3))/r. Solve -5*i - 5 = a*g + 4, -3*g = -4*i - 18 for i. -3 Suppose -10*g - 9 = -13*g. Solve 2*f + 5*t = -10, 5*f - t - 8 = g*t for f. 0 Let f = 12 - 8. Let s = f + -3. Let c = s - -3. Solve 0 = -h - h - 4*v + 14, -21 = -5*h + c*v for h. 5 Let m = -21 - -11. Let t be (-12)/(-15)*m/(-4). Suppose 4*h + t = -5*d - 15, -d - 11 = -3*h. Solve -20 = -4*k + 4*v, -h*v + 4 + 1 = 3*k for k. 3 Let p be (3/4)/(3/12). Suppose -1 = -2*s + p. Solve 4*w + s = 5*d, 7*w + 8 = 2*d + 3*w fo
{ "pile_set_name": "DM Mathematics" }
3 What is -2301 divided by 13? -177 What is 15 divided by 55? 3/11 Divide 0 by 40. 0 38344 divided by -9586 -4 Calculate -1152 divided by -192. 6 37 divided by -287 -37/287 What is 1352 divided by 338? 4 2564 divided by -2 -1282 Calculate -89 divided by 89. -1 Calculate -33 divided by 7. -33/7 -9 divided by 986 -9/986 Calculate -153 divided by 9. -17 What is 11 divided by 11? 1 What is 23 divided by -21? -23/21 Divide 18 by -265. -18/265 53 divided by 4 53/4 Calculate 1 divided by 1245. 1/1245 Divide -9 by -8. 9/8 -354 divided by 59 -6 What is -80 divided by 1? -80 Divide 23 by 99. 23/99 Calculate -5 divided by -48. 5/48 What is -5336 divided by -4? 1334 Calculate 4 divided by -132. -1/33 1136 divided by -2 -568 Calculate -3 divided by -12. 1/4 Calculate -1687 divided by -2. 1687/2 What is 27 divided by -102? -9/34 -2 divided by 65 -2/65 Calculate -23 divided by -13. 23/13 -876 divided by 219 -4 What is -254 divided by 2? -127 Divide 47 by -9. -47/9 What is 634 divided by 317? 2 -131 divided by -12 131/12 What is 8764 divided by 4? 2191 Calculate 11 divided by 783. 11/783 Calculate -784 divided by 1. -784 0 divided by -8 0 Calculate -5800 divided by 58. -100 What is 5 divided by -315? -1/63 510 divided by -3 -170 Divide -5 by 6. -5/6 193 divided by 8 193/8 Calculate -35 divided by -5. 7 -594 divided by 3 -198 -5433 divided by 5433 -1 Divide -4674 by -6. 779 Calculate -1468 divided by 2. -734 -730 divided by -3 730/3 9760 divided by 2440 4 What is -68 divided by 377? -68/377 3786 divided by -3786 -1 Divide 20 by 2. 10 Calculate 71 divided by -2. -71/2 Calculate -100 divided by -1. 100 -1360 divided by -80 17 Calculate -1868 divided by -467. 4 -188 divided by -94 2 4 divided by -4 -1 What is 0 divided by 110? 0 Calculate -11128 divided by -104. 107 Divide 100 by 20. 5 Divide -13932 by -774. 18 What is -261 divided by -7? 261/7 27 divided by -3 -9 -3 divided by -748 3/748 Divide -109 by -5. 109/5 Calculate -1600 divided by 320. -5 What is 603 divided by -603? -1 896 divided by 8 112 What is -17054 divided by 2? -8527 Calculate 1 divided by 2. 1/2 -1695 divided by -5 339 Calculate -5 divided by -81. 5/81 Divide 3409 by -3409. -1 Divide 96 by 48. 2 -5 divided by 87 -5/87 Calculate -76 divided by -2. 38 Calculate -176 divided by 8. -22 Calculate -388 divided by 2. -194 What is 8 divided by 118? 4/59 51 divided by -13 -51/13 Calculate 690 divided by 23. 30 Divide 714 by 14. 51 Calculate 1306 divided by 11. 1306/11 306 divided by 9 34 Divide -2990 by 598. -5 Calculate -4 divided by 1. -4 92 divided by 23 4 398 divided by 4 199/2 Calculate -1974 divided by 3. -658 What is -1848 divided by -2? 924 What is -8936 divided by -2234? 4 -31 divided by 10 -31/10 What is -1 divided by -41? 1/41 Divide -5 by -774. 5/774 -3 divided by 190 -3/190 Divide -22272 by 2784. -8 Calculate 4168 divided by -1. -4168 What is 152 divided by 76? 2 Divide 560 by 56. 10 Calculate 18 divided by 6. 3 What is -15378 divided by 33? -466 Divide -4760 by -5. 952 What is 193 divided by -75? -193/75 What is 1727 divided by 11? 157 -11 divided by -33 1/3 What is -2820 divided by 564? -5 What is 412 divided by -6? -206/3 What is -1 divided by -3? 1/3 Calculate -8 divided by 21. -8/21 What is 16872 divided by 6? 2812 -5 divided by -130 1/26 Divide 68 by 31. 68/31 -540 divided by -270 2 Divide -154 by 1. -154 Divide -1703 by -131. 13 Calculate 18286 divided by -3. -18286/3 Divide 8028 by 2676. 3 What is 1095 divided by -15? -73 What is 0 divided by 175? 0 Calculate -45208 divided by -4. 11302 Calculate -1060 divided by 2. -530 What is -60 divided by 30? -2 What is -240 divided by -6? 40 Divide -4250 by -4. 2125/2 Calculate -1 divided by 14. -1/14 Calculate -2 divided by -201. 2/201 What is 2 divided by 19? 2/19 Calculate -5 divided by 131. -5/131 Divide 44 by -2. -22 What is -14271 divided by -213? 67 Divide 0 by -975. 0 Divide 2 by -1151. -2/1151 Calculate -796 divided by -4. 199 What is -207 divided by 4? -207/4 Calculate 1 divided by 7. 1/7 Calculate 6 divided by 87. 2/29 Calculate -1848 divided by -4. 462 Calculate -3 divided by -264. 1/88 Divide -1012 by 253. -4 What is 10 divided by 58? 5/29 -21600 divided by -90 240 Calculate 19 divided by 214. 19/214 Calculate -1880 divided by -470. 4 Calculate 3 divided by 139. 3/139 Calculate 300 divided by 75. 4 Calculate 9682 divided by 47. 206 -7 divided by -1153 7/1153 368 divided by 3 368/3 Calculate -14 divided by 2. -7 Calculate -23 divided by -7. 23/7 What is 1701 divided by -243? -7 -203 divided by -16 203/16 Divide 3 by -540. -1/180 What is -406 divided by 5? -406/5 -372 divided by 2 -186 Divide 908 by -4. -227 16236 divided by -164 -99 80 divided by 8 10 -72 divided by 2 -36 What is -15 divided by 594? -5/198 1562 divided by 4 781/2 -260 divided by 26 -10 What is -1290 divided by -1? 1290 Divide 39 by -3. -13 What is 1 divided by 9? 1/9 Divide -1 by 33. -1/33 -2 divided by -20 1/10 What is -267 divided by -3? 89 Divide 146 by -2. -73 What is -6 divided by -6? 1 298 divided by -2 -149 Calculate 0 divided by 1370. 0 What is -193 divided by -1? 193 Calculate 4518 divided by -4. -2259/2 7 divided by 20 7/20 What is -60 divided by 10? -6 Divide 9 by -7. -9/7 Divide -8091 by 3. -2697 -575 divided by 25 -23 Calculate -31447 divided by -59. 533 Calculate 2827 divided by -11. -257 34971 divided by -3 -11657 Divide -2 by 94. -1/47 Divide -6284 by 1571. -4 -10 divided by 11 -10/11 Calculate 895 divided by 179. 5 What is -285 divided by -95? 3 Divide 7 by -6. -7/6 Calculate 1 divided by -62. -1/62 Calculate -843 divided by 281. -3 40 divided by -14 -20/7 -84 divided by -6 14 Divide -80 by -40. 2 -4 divided by 283 -4/283 Calculate -20 divided by 427. -20/427 What is 11970 divided by 3? 3990 Calculate -4192 divided by 4. -1048 What is -735 divided by 3? -245 -1350 divided by -45 30 Divide 10 by 12. 5/6 Divide 1662 by -6. -277 Calculate -2 divided by 170. -1/85 -286 divided by 1 -286 Calculate -4 divided by 3672. -1/918 Divide -211 by 1. -211 Divide -186 by 37. -186/37 What is -128 divided by -32? 4 What is -197 divided by 1? -197 Divide -4740 by -5. 948 Divide 880 by -110. -8 What is -1896 divided by -4? 474 What is 1692 divided by -6? -282 515 divided by -5 -103 18 divided by -300 -3/50 Divide 86 by 2. 43 Calculate 0 divided by 7. 0 What is 245 divided by 6? 245/6 Calculate -24 divided by 188. -6/47 Divide -840 by 105. -8 Calculate 654 divided by -6. -109 What is -134 divided by 17? -134/17 Divide 5140 by 5. 1028 456 divided by 12 38 Divide -1010 by -202. 5 Calculate -118 divided by 2. -59 Divide 241 by -3. -241/3 What is -121 divided by -4? 121/4 -315 divided by -15 21 -5 divided by -2 5/2 What is 272 divided by 8? 34 Divide 148 by -60. -37/15 -4509 divided by 167 -27 What is 0 divided by -2867? 0 What is -324 divided by 162? -2 -989 divided by -5 989/5 Divide 2176 by 17. 128 What is 10 divided by -575? -2/115 Divide 4 by -76. -1/19 29111 divided by -43 -677 -8 divided by 8 -1 2228 divided by -5 -2228/5 Divide -204 by -30. 34/5 8958 divided by -3 -2986 -153 divided by -153 1 Calculate -204 divided by 102. -2 Divide -2277 by 3. -759 Calculate -235 divided by -47. 5 Calculate -314 divided by -4. 157/2 592 divided by 4 148 What is -101 divided by 2? -101/2 Divide 41 by -1. -41 What is -72 divided by -5? 72/5 -220 divided by -110 2 -2179 divided by -2 2179/2 What is 42 divided by 1? 42 Calculate -8294 divided by -4147. 2 -780 divided by 130 -6 Divide -3772 by 46. -82 Divide 2 by -1. -2 Calculate 1011 divided by -337. -3 What is -2134 divided by -1067? 2 What is -75 divided by -1? 75 What is 0 divided by -15? 0 What is -42987 divided by -3? 14329 Calculate 216 divided by -45. -24/5 Divide -195 by -39. 5 Calculate 64 divided by 27. 64/27 Calculate 5 divided by 387. 5/387 Calculate 4 divided by 1340. 1/335 Divide -19 by -46. 19/46 What is -146 divided by -13? 146/13 -596 divided by -298 2 Divide 45 by 129. 15/43 318 divided by -39 -106/13 What is -413 divided by 7? -59 What is 0 divided by -481? 0 What is -1975 divided by 5? -395 -1029 divided by -343 3 1 divided by -19 -1/19 Divide 11780 by -19. -620 Divide -20404 by 5101. -4 Divide -6 by -136. 3/68 2037 divided by -3 -679 96 divided by -32 -3 What is 3204 divided by 3? 1068 Calculate 18 divided by
{ "pile_set_name": "DM Mathematics" }
of a kilogram in grams? 2625 What is twenty-one quarters of a millisecond in microseconds? 5250 What is 3.66519 minutes in hours? 0.0610865 Convert 452.9773 millilitres to litres. 0.4529773 Convert 11.51829um to meters. 0.00001151829 How many millilitres are there in fifty-nine quarters of a litre? 14750 What is one quarter of a centimeter in micrometers? 2500 What is 528.7549 centuries in months? 634505.88 What is 9.114203ml in litres? 0.009114203 What is twenty-six fifths of a millennium in centuries? 52 How many nanograms are there in five quarters of a microgram? 1250 What is fifty-one quarters of a micrometer in nanometers? 12750 Convert 265189.77us to minutes. 0.0044198295 What is 51/5 of a millimeter in micrometers? 10200 What is 580270.5 millennia in decades? 58027050 How many kilograms are there in 65318.92ug? 0.00006531892 How many months are there in 7/6 of a decade? 140 How many micrograms are there in 11/10 of a milligram? 1100 What is 51/5 of a century in decades? 102 Convert 0.2003435 weeks to nanoseconds. 121167748800000 What is 3/10 of a millennium in years? 300 How many millilitres are there in 7/2 of a litre? 3500 What is 697.3419 tonnes in nanograms? 697341900000000000 What is 4/3 of a millennium in months? 16000 How many nanograms are there in 1/64 of a milligram? 15625 What is eleven eighths of a day in minutes? 1980 What is 0.031422g in milligrams? 31.422 How many kilograms are there in 25/8 of a tonne? 3125 What is 640911.7 decades in millennia? 6409.117 What is thirty-one halves of a century in years? 1550 What is one twentieth of a litre in millilitres? 50 What is 3/10 of a litre in millilitres? 300 Convert 0.3430768 millilitres to litres. 0.0003430768 Convert 86858.72 decades to months. 10423046.4 Convert 89834.44km to centimeters. 8983444000 What is 1/24 of a decade in months? 5 Convert 6.68692ug to milligrams. 0.00668692 Convert 232125.6 seconds to milliseconds. 232125600 How many minutes are there in 30/7 of a week? 43200 What is 52049.72km in centimeters? 5204972000 What is twenty-one quarters of a millennium in years? 5250 What is 37/2 of a century in decades? 185 How many nanograms are there in nineteen quarters of a microgram? 4750 How many kilograms are there in 0.5767027ng? 0.0000000000005767027 Convert 613.2069 meters to millimeters. 613206.9 Convert 602954.1ml to litres. 602.9541 What is 0.410374 days in milliseconds? 35456313.6 How many years are there in 13/5 of a millennium? 2600 What is 37/2 of a micrometer in nanometers? 18500 Convert 5.977452 millimeters to micrometers. 5977.452 Convert 0.8319777 meters to centimeters. 83.19777 How many milligrams are there in 63488.77 kilograms? 63488770000 What is 80647.8498ms in weeks? 0.0001333463125 How many millilitres are there in fourty-four fifths of a litre? 8800 How many micrometers are there in fourty-five halves of a millimeter? 22500 How many kilograms are there in five eighths of a tonne? 625 How many microseconds are there in 19225.09 weeks? 11627334432000000 Convert 51320.64 litres to millilitres. 51320640 How many millimeters are there in seventeen halves of a centimeter? 85 How many centuries are there in fourty-six fifths of a millennium? 92 What is seventy-five halves of a tonne in kilograms? 37500 What is one quarter of a micrometer in nanometers? 250 How many microseconds are there in three fifths of a millisecond? 600 How many grams are there in 584474.3kg? 584474300 What is thirteen quarters of a litre in millilitres? 3250 What is six fifths of a decade in years? 12 Convert 26822.9mm to kilometers. 0.0268229 What is 688.1854ml in litres? 0.6881854 How many centimeters are there in 239159.7mm? 23915.97 How many micrograms are there in 911.603 nanograms? 0.911603 How many nanograms are there in fifty-five halves of a microgram? 27500 What is 7/2 of a kilogram in grams? 3500 How many hours are there in thirty-seven halves of a day? 444 What is 8599.7 milligrams in micrograms? 8599700 How many months are there in fourty-one sixths of a millennium? 82000 Convert 64.93775 millilitres to litres. 0.06493775 What is 18/5 of a millennium in decades? 360 What is 464499.2km in centimeters? 46449920000 How many years are there in 7/2 of a decade? 35 How many years are there in 6/25 of a millennium? 240 How many seconds are there in 29/5 of a minute? 348 Convert 0.8767537 millennia to years. 876.7537 What is one quarter of a gram in milligrams? 250 What is 620966.6 tonnes in micrograms? 620966600000000000 What is 7/3 of a week in minutes? 23520 What is thirteen fifths of a micrometer in nanometers? 2600 How many months are there in 7/3 of a decade? 280 How many millilitres are there in 21/4 of a litre? 5250 How many months are there in 5958.329 years? 71499.948 How many millilitres are there in 6/25 of a litre? 240 Convert 0.331904 micrograms to kilograms. 0.000000000331904 How many hours are there in 2.3376036 minutes? 0.03896006 How many years are there in 4653.391 millennia? 4653391 What is thirteen quarters of a litre in millilitres? 3250 What is 9.471756 days in milliseconds? 818359718.4 How many nanoseconds are there in 4.135506 seconds? 4135506000 How many hours are there in 5823.0162s? 1.6175045 How many centimeters are there in one quarter of a meter? 25 How many milligrams are there in one tenth of a gram? 100 What is thirty-seven fifths of a kilogram in grams? 7400 What is 18/5 of a microgram in nanograms? 3600 What is three fifths of a litre in millilitres? 600 What is six fifths of a century in years? 120 How many micrometers are there in 3/40 of a meter? 75000 What is 49/5 of a century in months? 11760 What is one quarter of a milligram in micrograms? 250 What is twenty-one fifths of a decade in months? 504 What is 6/5 of a milligram in micrograms? 1200 What is 19/4 of a meter in centimeters? 475 Convert 1220.22 meters to kilometers. 1.22022 Convert 0.5506243 microseconds to nanoseconds. 550.6243 How many centimeters are there in 949000.6nm? 0.09490006 What is nineteen quarters of a millimeter in micrometers? 4750 How many litres are there in 0.3469164ml? 0.0003469164 Convert 0.2839279cm to meters. 0.002839279 What is twenty-seven halves of a litre in millilitres? 13500 What is three fifths of a decade in months? 72 What is six fifths of a millennium in years? 1200 What is 29/5 of a microsecond in nanoseconds? 5800 What is 150652.3 minutes in microseconds? 9039138000000 What is 12/25 of a century in months? 576 How many nanometers are there in seven eighths of a micrometer? 875 What is 19.70724kg in milligrams? 19707240 What is 61/2 of a millennium in centuries? 305 How many milliseconds are there in 292165.2 days? 25243073280000 What is fifty-seven halves of a century in months? 34200 How many millilitres are there in 11/4 of a litre? 2750 How many minutes are there in 25/4 of a week? 63000 Convert 46.93089ug to nanograms. 46930.89 What is 5.830983 centuries in years? 583.0983 What is seventy-one thirds of a century in months? 28400 How many millimeters are there in 3/5 of a centimeter? 6 What is 29375.93ml in litres? 29.37593 What is one tenth of a kilometer in centimeters? 10000 How many micrometers are there in three fifths of a centimeter? 6000 Convert 638422.89 days to weeks. 91203.27 How many litres are there in 86.9751ml? 0.0869751 How many hours are there in 4/3 of a week? 224 How many months are there in 6/5 of a century? 1440 Convert 0.9483028mg to tonnes. 0.0000000009483028 How many micrometers are there in thirty-three tenths of a millimeter? 3300 How many centimeters are there in 56847.25um? 5.684725 Convert 2.277691cm to micrometers. 22776.91 Convert 941.8176um to millimeters. 0.9418176 What is 4937.43 millimeters in nanometers? 4937430000 Convert 712.347us to seconds. 0.000712347 How many nanoseconds are there in fourty-one halves of a microsecond? 20500 How many grams are there in seventeen quarters of a kilogram? 4250 What is 8127.499l in millilitres? 8127499 How many years are there in 5/4 of a millennium? 1250 Convert 74312.33 weeks to days. 520186.31 What is thirteen twelths of a hour in seconds? 3900 Convert 9661.906 millimeters to micrometers. 9661906 What is 3/50 of a microgram in nanograms? 60 What is 7612.325us
{ "pile_set_name": "DM Mathematics" }
/20 - 3*l**4/8 - 14*l**3/3 + 8*l**2 + 4. Let g be k(-3). Is -1/48 less than g? False Let f = 1186 - 605. Which is bigger: f or 4058/7? f Let u be ((-1)/(-6))/((-38)/3). Let m = 388557.9 - 388558. Which is smaller: m or u? m Let o = -98 + 100. Let g be 10/(240/104)*(-6)/o. Let j = -36 - -22. Is g > j? True Let m = -0.106 - 1.464. Let a = 1.9 + m. Which is bigger: a or -3? a Suppose 5*w - 4*v + 83 = 0, -3*w - v = -2*w + 22. Let l be (w + 17)*16/(-2). Suppose 0 = -3*d - l - 62. Is d greater than or equal to -26? True Let s be (79 - -1)/((-38)/57). Let f = s + 32. Let o = 101 + f. Is 82/7 at most o? True Let t(k) = -k**2 - 98*k + 848. Let i be t(8). Which is bigger: i or 1/4956? 1/4956 Let w = 50 - 5. Let f = 25 + -74. Let n = f + w. Is -5 equal to n? False Let f(b) = 2*b - b - 1 - 5 + 0 - b**3 - 8*b**2. Let c(j) = 17*j + 230. Let r be c(-14). Let t be f(r). Which is smaller: t or -7? t Let t be 45/(-3)*(-2)/6. Suppose -o - 4 = -2*y - 3, t*y - 61 = -4*o. Suppose -o*v + 168 + 183 = 0. Is 79/2 < v? False Suppose 5*r - 2*s - 24 = -106, 4*r + 2*s = -80. Let h be (10 - (19 + -7))/(2/16). Which is smaller: r or h? r Let b(f) = 0*f**2 + 10*f - 16 - 4*f**2 + 3*f**2. Let t be b(6). Suppose 11*k + 12 = t*k. Is k < -3? True Suppose 0*o + 5*m = 3*o, -9 = -3*m. Suppose -o*t = 49 - 59. Suppose -t*h + 3 = 11. Which is bigger: h or -9? h Suppose -n - 5*o + 5 = 12, 0 = -3*n - 2*o - 86. Let q(b) = 9*b**2 - 28*b + 39. Let w be q(6). Let u be (4/w)/(n/48). Which is bigger: u or -1? u Let p = -2.359 + -0.251. Let f = p - -2.41. Which is smaller: f or -6? -6 Suppose -1108 = 2*a - 2*o, -3*a - 5*o = -3*o + 1682. Let z = 558 + a. Is -1/203 < z? True Let o = -196 - -301. Suppose 7*x = o - 462. Which is smaller: x or -53? -53 Suppose -2*m = -3*n + 4103, -m - 4025 = 5*n - 10885. Which is smaller: 1376 or n? n Suppose -d - d = -4*d. Which is smaller: -1 or d? -1 Let t be ((-4064)/(-408) - 10)*135. Is -6 at least as big as t? False Let f = -10701 - -10700. Which is greater: f or -8/791? -8/791 Suppose 35 + 61 = 4*b. Suppose b = 4*z - 3*c, -2*z = z + 3*c + 3. Let q be (3 - z/1) + 2 + -2. Is q not equal to 2/5? True Let x be (74/5032)/((-2870)/(-16)). Which is smaller: x or -1? -1 Let q(o) be the third derivative of -o**5/60 + o**4/6 - o**3/3 + 14*o**2. Let n be q(3). Let x be ((-11)/n + -1)*3/5. Which is greater: x or -6? -6 Suppose 424*b - 440*b = 2298 - 7786. Which is bigger: 348 or b? 348 Suppose 3*z - 877 = 5*q + 4*z, z - 523 = 3*q. Let s be (-560)/q*10/(-2). Which is greater: -19 or s? s Let h(o) = -3*o**3 - o**2 + 4*o + 8. Let j be h(-2). Suppose -4*n + 5*m = -55, -16*n = -j*n - m + 85. Is n greater than or equal to -0.05? True Let q be 40/(-30) - 1114/(-840). Suppose 2 = 30*z - 32*z. Which is bigger: q or z? q Suppose 134*f - 35347 = -132*f + 253*f. Which is greater: 2716 or f? f Let d = -29/61 - -3396/7015. Let o = 241/1265 - d. Let t be 1/1 - 1/2. Is o greater than t? False Let w be ((-2)/(-10) - 1)*-410. Let p = -282 + w. Is p > 49? False Let x be 423*(-6)/498 - -6. Which is greater: x or 0.1? x Let b(t) = -13*t + 1843. Let l be b(-11). Do l and 9932/5 have the same value? False Let i(p) = 4*p**2 + 16*p - 3. Let u(s) = 5*s**2 + 16*s - 4. Suppose -3*y + 27 - 9 = 0. Let f(l) = y*i(l) - 5*u(l). Let n be f(11). Is n bigger than 56? True Let i = 16 + -11. Let u(w) = 11*w - 343. Let h be u(33). Suppose 0*c - i*c = h. Is -1/4 != c? True Let n = 121/69 - 22097/12627. Which is smaller: 1 or n? n Let w be (-891)/(-108)*((-5)/(-3) + 1). Are w and 1 nonequal? True Let v = -207.4 - 45.6. Let a = 274 + v. Suppose -2*n - 4 = -y - 3, 0 = -5*y - 2*n + 5. Do y and a have the same value? False Let g be (-13559)/(-42) - (-2)/12. Let q = -140 + g. Which is greater: 185 or q? 185 Let l = 195 + -189. Let i(c) = c**3 - 6*c**2 + 2*c - 7. Let n be i(l). Which is smaller: 4 or n? 4 Suppose -u + p = -24, -8 = 2*u - 4*p - 46. Suppose j = -5*j - 150. Let x = j + u. Do x and 5 have the same value? False Let y be 2 + 3302792/(-1344) + 3/7. Let g = y + 2455. Is 1 smaller than g? False Suppose 0 = -70*z + 143*z + 13283 + 16209. Is -405 at most as big as z? True Suppose 2*r - 7*y - 17812 = -10*y, -5*r - 4*y + 44537 = 0. Which is smaller: 8908 or r? 8908 Suppose -788 = 32*s - 370 - 386. Which is smaller: 8865 or s? s Suppose -o - 4*r - 5 = 0, -3*r + 8 = 17*o + 28. Let i = 3041/393295 - 4/661. Are i and o non-equal? True Suppose -2*c - 3*b = -36, b + 4*b = 5*c - 90. Suppose -15*u - 36 = -c*u. Suppose u - 12 = -l. Which is bigger: 15/11 or l? 15/11 Suppose 0 = -4*z - 38 - 18. Let r = 13 + z. Let v be (-1)/(2/14)*(-5)/(-15). Which is smaller: v or r? v Let s = -18596 - -18615. Let y = 0.07 + 3.93. Let l = -2 + y. Is s greater than l? True Suppose 2*j - 30 = -y - 2, -2*y = 8. Suppose 3*a - 8*a = -4*b + 32, -j = 4*a. Is 4 at least b? True Let y = 25405/160778 + -1/8462. Let t = -10.9 - -11. Which is smaller: y or t? t Let d = 4 - 3.43. Let q = 1.44 - d. Which is bigger: q or 0? q Suppose -264 = -12*m - 0*m. Let q be (376/2350)/(-1 + m/10). Which is greater: -0.05 or q? q Let s(d) = 1297*d + 1298. Let n be s(-1). Is 1/9921 < n? True Let t be 9/36 - (46/(-8) + 1). Suppose 0 = r + f, t*r + 0*f - 3*f - 16 = 0. Let d be r/(-4)*(-21 + 10). Which is bigger: 6 or d? 6 Suppose -4*w + 0 = -4. Let m(i) = -15*i**3 + 25*i**2 - 11*i - 13. Let g(b) = 7*b**3 - 12*b**2 + 5*b + 6. Let s(a) = 13*g(a) + 6*m(a). Let l be s(6). Does l = w? False Suppose -4*v = 2*y + 4418, -3449 = 5*v - 4*y + 2067. Which is smaller: -1/2 or v? v Let j(d) = d**3 + 16*d**2 + 18*d + 46. Suppose 5*f + 90 = -3*o, 3*f + 22*o = 19*o - 60. Let u be j(f). Which is smaller: 1/171 or u? 1/171 Let d be 384/(-10) - 1/(1/(-2)). Let s(h) = 6*h**3 + h**2 - 3*h + 2. Let k be s(-2). Are d and k nonequal? True Let j be (((-29)/3)/(-1))/((-1)/3). Let n(y) = 3*y**2 - 21*y + 6. Let r be n(4). Is r greater than or equal to j? False Let l = 7397 + -7962. Which is smaller: l or -7? l Let v = 2209 + -2301. Is 3.4 greater than v? True Let b(c) = 2*c + 1. Let v be b(3). Let h = 92762/103 - 38564292/42539. Let r = -23/59 - h. Is v less than r? False Let t be 12/24 + 1/((-2)/19). Let m be 71/t + 2 + 10 + -5. Suppose -6*l = -2*u - l - 7, -4*u - 2 = 2*l. Which is bigger: u or m? m Let i = 0.214 - 0.014. Let n = -522 + 523. Which is greater: i or n? n Let s = 23729 - 23726. Is -1407 greater than s? False Let i = 311/5 + -387/10. Suppose -6*k + 10*k = g + 92, 5*k - 5*g - 115 = 0. Which is smaller: i or k? k Let w = -13 - -45. Suppose 3*u = 19*u - w. Suppose 2*g + u = 2*r, 4*r + r + 5*g = -15. Which is bigger: r or -2? r Let b(u) = -u**3 + 9*u**2 - 14*u - 5. Let s be b(11). Suppose -5*t = 4*q + 1626, q + 3*t - 171 + 588 = 0. Which is smaller: s or q? s Let l = 12 - 2. Let d = 22 - 32. Let g = l + d. Is g >= -1? True Suppose 16*y - 64 - 16 = 0. Suppose -340 = -y*k + 5*h + 45, -5*k + 388 = -4*h. Let i = k - 89. Is i at least -2? False Suppose -32 = 3*b - 8. Let j(z) = 110 + 2*z**3 - 6*z**2 + 17*z - 122 - 3*z**3. Let p be j(b). Which is smaller: -21 or p? -21 Suppose 96*x + 81*x = 95934. Which is bigger: x or 541? x Let n be ((-2)/3)/(-1*(-1)/(-318)). Let i = -187 + n. Suppose -8 = 5*b - 148. Are i and b unequal? True Let i = -4643 + 4649. Is -299 smaller than i? True Let z = -24457/290 - 24/145. Let s = z + 88. Is s equal to 4? False Let a = 299 - 297. Let h be -3 + 601/220 + a/8. Which is smaller: h or 0? h Let n = 74321/11 - 6765. Are n and -1 nonequal? True Suppose 4*g + w - 23 = 0, 7*g - 33 = 3*g + w. Suppose -g = -a + h - 3*h, 5*h - 13 = 2*a. Let d be a/(-1 + (-16)/12). Is 0 at least as big as d? True Let z be (-1)/(-3)*12/1. Suppose a + q - 1 = 0, -5 = q - z. Suppose 8*d = a*d - 0*d. Which is smaller: -20/3 or d? -20/3 Let f be 5 + -3 + (-477)/(-15). Let u = 509/15 - f. Which is smaller: u or 1? u Suppose 2117 = -9*h + 236. Let o be (3 + -1)/(-2) - 207/h. Is o less than 1? True Let s be 65 - 75 - (-48624)/4863. Which is smaller: -1 or s? -1 Suppose -3*c - 4*h + 35 = 0, 0 = 3*c - 3*h - 34 + 13. Let p = 21 - 24. Let b be (-1 + 4)*(-7)/p. Is b greater than or equal to c? False Let z = -20308.9 + 20309. Is 44/7 < z? False Let y be 0/((8/(-16))/(1/4)). Let k be (-4)/((-20)/15 - y). Suppose -5 = -4*h - f, 0 = 3*h + k*f - 0*f + 3. Which is greater: 15/11 or h? h Suppose -3*v = -1
{ "pile_set_name": "DM Mathematics" }
or of 28 and r? 28 Suppose 4*t - 111 - 25 = 0. What is the highest common factor of 34 and t? 34 Let g = -48 + 34. Let t = g + 23. Suppose 4*h - 94 = 86. Calculate the greatest common factor of h and t. 9 Suppose -5*m = -4*k + 360, -3*k + 6 = m + 59. Let l = 104 + m. Let t = -1 + 19. Calculate the greatest common factor of l and t. 18 Let m(o) = -o**3 - 3*o**2 + 17*o + 17. Let c be m(-6). What is the greatest common divisor of 161 and c? 23 Let d = 361 - 196. What is the highest common divisor of d and 15? 15 Let f = 60 + -43. What is the greatest common factor of f and 153? 17 Let m be -1*1 + 12/(-6). Let y be (3 + 11)/(m/(-18)). What is the greatest common factor of 12 and y? 12 Suppose -3*w = 4*o - 421, 5*o - 12 = 2*o. Suppose 2*p - w = -3*p. Calculate the greatest common factor of 9 and p. 9 Suppose 2*v - 25 + 5 = 0. Suppose 12 = 4*o + 2*j, 12 = o - 3*j - j. What is the highest common factor of o and v? 2 Suppose 3*n + 2*n = 60. Let o(u) = 2*u**2 - 29*u + 33. Let j be o(15). What is the highest common divisor of j and n? 12 Let c be (34/4)/(3/18). Let h be c*(1/(-1) - -7). Suppose -3*l - 90 = -h. What is the highest common factor of 8 and l? 8 Let j(c) = c**2 - c - 5. Let i be j(7). Let a = 89 - i. What is the highest common divisor of a and 13? 13 Let q(k) = k**3 - 11*k**2 + 13*k - 17. Let h be q(10). Calculate the highest common factor of 13 and h. 13 Suppose -3*u + 78 = 3*w - 0*u, 5*w = u + 124. What is the greatest common divisor of w and 75? 25 Let f = 25 - -80. Calculate the greatest common factor of f and 15. 15 Let d = 1 + -6. Let l be (-65)/26*4/d. Calculate the highest common factor of 3 and l. 1 Let q(u) = 7*u + 2. Let r be q(2). Let w be 4*1/1*r. What is the highest common divisor of w and 16? 16 Let y be (1 - 5)*1/(-2). Let s = 0 + y. Suppose j + s*j = 66. What is the highest common factor of j and 198? 22 Let s be (-1)/(-4) + (-6)/(-8). Let z(q) = 3*q**3 + 5*q**2 - 2*q - 3. Let i be z(-1). What is the highest common divisor of s and i? 1 Let h be 6*(0 - -3 - 4). Let z = h - -15. Suppose 5*m + t - 402 = 0, 2*t = 4*m - 102 - 228. Calculate the highest common divisor of m and z. 9 Let t = -10 + 8. Let w be 9/6 - 109/t. Calculate the highest common divisor of w and 8. 8 Let h(d) = 2*d - 7. Let w be h(6). Suppose l = 5*l. Suppose l = -2*m + 12 + 38. Calculate the greatest common factor of m and w. 5 Suppose -l + 14 = -10. What is the greatest common factor of 264 and l? 24 Let n(j) = -3*j**3 + 2*j**2 + 2*j + 2. Let z be n(-2). Let g = 15 + -16. Let k be (-26)/(-2) - (g + 2). Calculate the highest common divisor of k and z. 6 Suppose -21*y = -17*y - 36. What is the highest common factor of 81 and y? 9 Suppose 2*z - 221 = -5*f, 0*z = -2*z + 5*f + 211. What is the greatest common divisor of 12 and z? 12 Let d(m) = -m**3 + 9*m**2 + 12*m - 15. Let h be d(10). Calculate the greatest common divisor of 45 and h. 5 Suppose 3*c = -c - 36. Let g(d) = -d + 22. Let z be g(0). Let o = z + c. What is the greatest common divisor of 13 and o? 13 Suppose 0 = 5*l + l - 66. Calculate the greatest common divisor of l and 22. 11 Suppose 2*l + 14 - 204 = 0. Let f = l - 30. Let j be (-1572)/(-60) + (-2)/10. Calculate the highest common divisor of j and f. 13 Let h = -51 + 59. What is the highest common factor of 56 and h? 8 Let c(b) be the third derivative of b**4/8 + 4*b**3/3 - 3*b**2. Let v be c(-6). Let s be (v/(-15))/((-1)/(-24)). What is the highest common divisor of s and 4? 4 Let m = -12 - -13. What is the greatest common factor of 1 and m? 1 Suppose 13 = 3*u - 23. Let m(i) = -i**3 - 2*i**2 - i + 2. Let s be m(-4). Let q = 10 + s. What is the highest common divisor of q and u? 12 Suppose -3*s = -0*s - 6. Suppose y - 55 = -4*x + 2*x, -5*y + 287 = -s*x. What is the highest common divisor of y and 38? 19 Suppose 0 = 23*q - 346 - 137. What is the highest common divisor of q and 35? 7 Suppose -6 - 10 = 4*r. Let i be r/3*(-2 + -82). Calculate the highest common factor of 14 and i. 14 Suppose -2 = -2*j + 38. Suppose 3*h + 0*l = -5*l + 50, 5*h - 30 = 5*l. Calculate the greatest common divisor of j and h. 10 Suppose -4*p + o = 6*o - 68, -p - o + 18 = 0. What is the highest common divisor of 11 and p? 11 Suppose r - 2*k + 7 = 0, 0*k = -k - 3. Let c = 28 + r. What is the greatest common divisor of c and 75? 15 Let a(z) = -19*z**2 + 1. Let k be a(1). Let w be (-20)/3*k/4. Let h = -35 - -47. Calculate the greatest common divisor of h and w. 6 Let p = -6 - -5. Let r = 0 - p. Let w(h) = 12*h**2 + 2*h - 1. Let c be w(r). What is the greatest common factor of 65 and c? 13 Let a(o) = -4 + 2*o - 4 - 4*o. Let i be a(-6). Suppose 0 = 4*l - r - 12, 4*l - 5 - 3 = 2*r. What is the greatest common divisor of i and l? 4 Let u = 93 + -76. What is the greatest common divisor of 17 and u? 17 Let c be (4/(-6))/((-2)/3). What is the greatest common factor of c and 9? 1 Suppose 69 = 2*n - 219. Suppose -2*k = -5*k + 54. Calculate the greatest common factor of n and k. 18 Suppose -3*m = m + 3*w - 2064, -3*m + 1559 = 5*w. Suppose -m = -3*l - 0*l. Let p = 0 - -19. What is the highest common factor of l and p? 19 Suppose 8 = 5*r - 7. Suppose 0 = -3*o + 2*s + 53, -r*o - s + 33 = 2*s. Let b be (-2 + -1)*(-25 + 0). Calculate the highest common factor of b and o. 15 Let a be (-6)/(-14) - 14526/(-63). What is the highest common factor of 21 and a? 21 Let a(b) = 8*b**2 + 2*b + 1. Let g be a(-1). What is the greatest common factor of g and 7? 7 Let c(m) = 7*m**3 + 1. Let s be c(1). Suppose w = j + 12, 4*w = -j - s + 66. Calculate the highest common divisor of w and 28. 14 Let f be -1 + (123 - 2) + 0. Let b(t) = 3*t**3 + 4*t**2 + 2*t + 2. Let u be b(-3). Let h be u/(-4) - 1/4. Calculate the highest common factor of f and h. 12 Let i(g) = -2*g**3 + 5*g + 4*g**3 - 2*g**2 + 3*g**3 - 3*g. Let p be i(2). What is the greatest common divisor of 9 and p? 9 Let m(w) = 11*w**2 - 3*w - 2. Let q be m(-1). Calculate the greatest common divisor of q and 30. 6 Suppose -4*g = -2*c + 48, -3*c = c + 5*g - 70. Calculate the highest common factor of c and 70. 10 Let q(m) = -m**2 - m + 48. Let r be q(0). Suppose -d - 3*f = 2*d + 3, -5*d = 4*f. Suppose -d*i = -6*i + 64. Calculate the greatest common factor of r and i. 16 Let o be 0 + 5 - (0 + (-3 - 0)). Suppose -4*m = p - 20, p - m + 4*m - 15 = 0. Suppose p*s + 12 = s. What is the highest common factor of o and s? 4 Suppose 105 = 4*p - 359. What is the greatest common factor of p and 29? 29 Let s(p) = -p**3 - 4*p**2 - 4. Let r be s(-4). Let n be 790/8 + (-1)/r. What is the greatest common factor of n and 9? 9 Let t be (3/(-2))/((-6)/8). Suppose -n - 5*s = -120, -2*n - 5*s + 480 = 2*n. Suppose g = t*g - n. What is the greatest common factor of 15 and g? 15 Let g(c) = c + 6. Let y be g(8). Suppose -5*d - y = 76. Let w = -10 - d. What is the greatest common factor of 2 and w? 2 Suppose -2*g = -2 - 28. Let l be 2/5 - (-534)/g. Suppose 0 = -3*m - 0*m + l. Calculate the greatest common divisor of m and 30. 6 Let x be 14*(-1)/(2/(-3)). Calculate the highest common divisor of 7 and x. 7 Suppose -q - 3*o - 99 = -2*q, 0 = -2*q - 5*o + 242. Let j = -66 + q. Let c be 6*(1/2 - -2). Calculate the greatest common divisor of j and c. 15 Suppose -3*j + 5 = h, -2*j = h - 6*j - 19. Suppose -5*y + 536 = -69. What is the highest common factor of y and h? 11 Let w = 377 - 225. Let f be -1 - (0 + (-20)/1). Calculate the highest common factor of f and w. 19 Let u be 108*-1*(-4)/2. Let j be u/4 - (-2)/(-1). Suppose 6*h - j = 4*h. Calculate the greatest common factor of 39 and h. 13 Suppose 0 = 5*c - 13 - 2. Suppose -190 = -0*a - c*a + 2*l, 4*a - l = 245. Calculate the highest common factor of 20 and a. 20 Suppose 9 = -0*j + 3*j. Suppose h = j*h - 2. What is the greatest common factor of h and 3? 1 Let x(q) = -12*q - 21. Let r be x(-6). What is the highest common divisor of 153 and r? 51 Suppose p + 54 = 4*a, -5*a + 3*p = -2*p - 75. Let l(d) = -d**3 + 10*d**2 - 3*d. Let m be l(8). Calculate the greatest common factor of m and a. 13 Let l be -20*-3*(-2)/(-5). Let f = 54 - -6. What is the greatest common divisor of f and l? 12 Let a(h) = 2*h**2. Let m be a(5). Let p = 48 + -45. Suppose p*k + 2*k = m. What is the highest common divisor of k and 5? 5 Let c(y) = y**3 + 2*y**2 + 0*y**3 - 5
{ "pile_set_name": "DM Mathematics" }
be the third derivative of x(n). Find the first derivative of j(c) wrt c. -98*c Find the first derivative of 4983 - 2753 - 634*z**2 - 2589 wrt z. -1268*z Let v(z) be the second derivative of 527*z**6/30 - z**3/3 - 30*z**2 + 105*z. What is the second derivative of v(m) wrt m? 6324*m**2 Let x(f) = 10*f**3 - 5*f. Let h(o) = 51*o**3 - 25*o. Let a = 71 + -82. Let r(t) = a*x(t) + 2*h(t). Find the second derivative of r(u) wrt u. -48*u What is the second derivative of 174*b + 491*b - 146*b**5 - 244*b**5 wrt b? -7800*b**3 What is the third derivative of 2*i**2 + 3*i - 130*i**5 - 6 - 35*i**5 - 9*i**2 + 6 wrt i? -9900*i**2 Differentiate 63*u - 23*u - 14*u + 7 + 104*u + 12 with respect to u. 130 Let m(r) be the third derivative of 3*r**5/4 + 29*r**4/24 - r**3/3 + 10*r**2 - 2*r. Find the second derivative of m(b) wrt b. 90 Let o(m) = 28*m**3 - 6*m**2 + 4*m - 73. Let g(i) = 29*i**3 - 7*i**2 + 5*i - 73. Let y(p) = -6*g(p) + 7*o(p). What is the first derivative of y(v) wrt v? 66*v**2 - 2 What is the third derivative of -5 - 13*j**2 + 25*j**5 + 22*j**2 + 4*j**3 + 0 + 4 - 3*j**3 wrt j? 1500*j**2 + 6 Let m(t) = -23*t - 17. Let o(i) = i. Let s(b) = -m(b) + 2*o(b). Let l(c) = -12*c - 8. Let k(r) = 13*l(r) + 6*s(r). Find the first derivative of k(n) wrt n. -6 Let a(y) = -28*y**3 - 45*y**2 - 6*y + 6. Let g(h) = 869*h**3 + 1397*h**2 + 187*h - 187. Let b(r) = 187*a(r) + 6*g(r). Find the third derivative of b(d) wrt d. -132 Suppose 26 = 8*m - 14. Let t(o) be the third derivative of 0 + 0*o - 1/8*o**4 + 0*o**3 - 1/60*o**m + 9*o**2. Find the second derivative of t(i) wrt i. -2 Let o(k) = 2*k**3 + 27*k**2 + 3*k + 45. Let i(a) = a**3 + 27*a**2 + 2*a + 45. Let w(p) = -3*i(p) + 2*o(p). What is the derivative of w(x) wrt x? 3*x**2 - 54*x Let o(c) be the second derivative of -c**5/20 - 5*c**3/2 + 55*c**2 - 209*c. What is the derivative of o(f) wrt f? -3*f**2 - 15 Let u(k) = 5*k + 6. Let h be u(-1). Let p(j) = -15*j**2 - 4*j + 1. Let w(f) = f. Let m(n) = h*p(n) + 4*w(n). What is the derivative of m(i) wrt i? -30*i What is the first derivative of 57 + 226 - 36*z**4 - 598 wrt z? -144*z**3 Let v(q) = q**2 - 2*q + 1. Let k(g) = -251*g**3 - 6*g**2 + 12*g + 197. Let o(j) = k(j) + 6*v(j). Differentiate o(t) with respect to t. -753*t**2 Let t(q) = -92*q**2 + 130*q + 3. Let v(c) = -183*c**2 + 258*c + 7. Let x(b) = -7*t(b) + 3*v(b). Find the second derivative of x(k) wrt k. 190 Let u(d) be the first derivative of -9*d**7/280 + 9*d**4/8 - 8*d**3 + 22. Let o(r) be the third derivative of u(r). Differentiate o(l) wrt l. -81*l**2 Let n = -22 - -40. Find the second derivative of n*x**5 + 14*x**5 - 7*x + 11*x**5 + 33*x wrt x. 860*x**3 Let u(l) = -296*l**4 + 3*l**3 + 3*l - 422. Let g(k) = -591*k**4 + 5*k**3 + 5*k - 844. Let n(x) = 3*g(x) - 5*u(x). Differentiate n(h) with respect to h. -1172*h**3 Let c = -23 - -38. Let g = c - 10. Find the third derivative of 12*w + 5*w**2 - w**g - 12*w - w**2 wrt w. -60*w**2 Let n(d) be the third derivative of 0*d + 3/10*d**5 - 8*d**2 - d**3 + 0*d**4 + 0. Differentiate n(z) wrt z. 36*z Let h(r) = 19*r**2 - 24*r. Let o(x) = 39*x**2 - 47*x. Let p = -49 - -47. Let i(n) = p*o(n) + 5*h(n). Find the second derivative of i(l) wrt l. 34 Let s(k) = 36*k - 93. Let v(h) = 108*h - 280. Let a(w) = -16*s(w) + 5*v(w). Find the first derivative of a(f) wrt f. -36 Let o be (-3)/(-3)*(2 - 11). Let v be (2 - (o - 3))/1. Differentiate 5 - 14*i - 2*i**4 + v*i wrt i. -8*i**3 Let b(x) = x**3 - 17*x**2 - x + 21. Let q be b(17). What is the first derivative of -7 + 14*n**q + 395*n**2 + 17*n**4 - 395*n**2 wrt n? 124*n**3 Let o = -4 + 10. What is the second derivative of 5*l + o*l + 11*l**4 - 7*l**4 wrt l? 48*l**2 Let c(a) = a**3 - 5*a**2 + 6*a - 2. Let n be c(4). Differentiate 5*q + 2*q + n + 3 + 3 with respect to q. 7 Let g(l) = -l**3 + l**2 - l + 4. Let b(i) = -37*i**4 + 8*i**3 - 8*i**2 + 25*i - 36. Let u(n) = -2*b(n) - 18*g(n). Find the third derivative of u(r) wrt r. 1776*r + 12 Let a(r) be the second derivative of 139*r**5/10 + 215*r**4/12 + 2*r - 18. What is the third derivative of a(x) wrt x? 1668 Let b = -75 - -78. Differentiate 20 - 13 + 10 - 20*i**3 - 10*i**b with respect to i. -90*i**2 Let u be ((-9)/2)/(1/(-2)). What is the derivative of 9*o**3 + 15*o**4 - u*o**3 - 1 + 2 wrt o? 60*o**3 Let g(i) be the second derivative of 0*i**5 + 1/6*i**4 + 14*i + 0*i**2 + 0*i**6 + 1/7*i**7 + 0 + 0*i**3. Find the third derivative of g(a) wrt a. 360*a**2 Find the second derivative of 96*s + 61*s - 67*s**3 - 17*s**3 - 59*s**3 wrt s. -858*s Suppose 0 = 30*g - 31*g. What is the second derivative of 21*y**3 + 10*y + g*y - 597*y**2 + 597*y**2 wrt y? 126*y Let h(z) be the first derivative of -3/2*z**2 + 19*z + 0*z**4 + 1/3*z**6 + 18/5*z**5 + 0*z**3 + 33. Find the second derivative of h(j) wrt j. 40*j**3 + 216*j**2 Let g(y) be the first derivative of -y**7/70 + 19*y**4/24 + 9*y**2 + 9. Let f(v) be the second derivative of g(v). What is the second derivative of f(h) wrt h? -36*h**2 Let u be ((-32)/8 + 8)*(-1)/(-4). Let k(o) = -36*o**3 + 5*o**2 - 10*o. Let r(z) = -z**3 + z**2 - 2*z + 1. Let p(h) = u*k(h) - 5*r(h). Differentiate p(x) wrt x. -93*x**2 Let w(r) be the second derivative of -113*r**5/20 - r**4/2 + r**3/3 + 8*r - 7. What is the third derivative of w(y) wrt y? -678 Suppose 0 = 4*c - 20 - 12. What is the derivative of 11 + c*o + o + 8*o - 21*o wrt o? -4 Let o = -70 + 73. What is the derivative of 6*s**3 + 4*s**o - 4*s**3 + 14*s**2 - 31 - 3*s**3 wrt s? 9*s**2 + 28*s Let y = 9 + -13. Let o(l) = -3*l - 10. Let m be o(y). Differentiate -5*s**3 + 0*s**3 + 2*s**3 - m wrt s. -9*s**2 What is the second derivative of 56*r**5 - 127*r**5 - 16*r**4 + 4*r + 61*r**5 - 10*r**4 + 14*r**4 wrt r? -200*r**3 - 144*r**2 Let g be (333/18)/(2/4). What is the third derivative of -1146*s**4 + 31*s**6 + 1146*s**4 + g*s**2 wrt s? 3720*s**3 Let a(f) = 2*f**2 - f - 4. Let u be a(-3). Let i = 17 - u. What is the second derivative of 0 + i - 27*v**4 + 19*v**4 - 3*v wrt v? -96*v**2 Suppose -312 = i - 315. Let j(u) be the third derivative of 0*u**i + 1/60*u**6 + 2/15*u**5 + 0*u + 7*u**2 + 0*u**4 + 0. Find the third derivative of j(s) wrt s. 12 Let c(x) = x**2 + 14*x - 25. Let i be c(-16). Differentiate 689*y**3 + 11 + i - 664*y**3 wrt y. 75*y**2 Let p(d) be the second derivative of 367*d**3/6 + 23*d**2/2 + 428*d. What is the derivative of p(q) wrt q? 367 Let i(m) = -440*m**3 - 324*m**2 + 8*m + 4. Let y(r) = -441*r**3 - 323*r**2 + 6*r + 3. Let u(f) = -3*i(f) + 4*y(f). What is the third derivative of u(q) wrt q? -2664 Let n(k) = -9*k**2 - 6*k - 14. Let o(g) = -18*g**2 - 11*g - 27. Let i = 13 - 24. Let p(u) = i*n(u) + 6*o(u). Find the first derivative of p(z) wrt z. -18*z Suppose -28 = -2*s - 2*s. Differentiate -s*t**3 - 7 + 2062*t - 2062*t with respect to t. -21*t**2 Find the third derivative of -42*i**5 + 57*i**2 - 3*i**4 + i**5 + 6*i**5 wrt i. -2100*i**2 - 72*i Let v be (-12)/(2 - -2) + 11. Suppose -2*z + 6*z = v. Find the third derivative of -4*f**5 + f**3 - 42*f**z - f**3 + 36*f**2 wrt f. -240*f**2 Let x(u) be the third derivative of -17*u**6/120 + u**5/30 + u**3 - 19*u**2. Find the first derivative of x(q) wrt q. -51*q**2 + 4*q Let o(u) be the second derivative of 5/12*u**4 - 11*u + 0*u**2 + 0*u**3 + 0 - 1/10*u**6 + 0*u**5. What is the third derivative of o(h) wrt h? -72*h Suppose -2*c - 3*o + 3 = -0*c, -12 = -3*c + 3*o. What is the second derivative of -2*b + 8*b - b + b + c*b**2 wrt b? 6 What is the derivative of 77*o**4 - 129*o**4 + 92*o**4 - 4 wrt o? 160*o**3 Suppose 3*t = 8 - 2. Let w(c) = 2*c + 28. Let h be w(-13). What is the second derivative of -3*n**2 - 7*n + 4*n - h*n**t wrt n? -10 Let q(g) be the first derivative of 176*g**7/7 - 5*g**3/3 + 13*g**2/2 + 367. Find the third derivative of q(k) wrt k. 21120*k**3 What is the second derivative of -1830*b**2 - 23*b + 911*b**2 + 439*b + 911*b**2 wrt b? -16 What is the second derivative of -13*g + 47*g**5 - 14*g + 6 - 301*g**5 + 26*g wrt g? -5080*g**3 Let t(w) = -w**2 + 9*w - 15. Let p be t(6). What is the third derivative of 3*u**p + 15*u**3 + 2*u**2 - 2*u**3 wrt u? 96 Let h(f) = -6*f**4 + f**3 - 10*f**2 + 2*f - 2. Let b(m) = -m**4 - m**2 + m - 1. Let v(c) = 2*b(c) - h(c). What is the third derivative of v(r) wrt r? 96*r - 6 Differentiate 3*u - 19 - 8*u**2 - 4*u
{ "pile_set_name": "DM Mathematics" }
vided by j(-11). 106 Let n = -33 + 83. What is the remainder when 1/((-2)/8) + 200 is divided by n? 46 Suppose 15 = g + 2*g. Suppose 4*j - 15 = -o, -121*j + 123*j = -o + 11. Calculate the remainder when o is divided by g. 2 Suppose 84*g - 89*g = -20. Calculate the remainder when 51 is divided by g. 3 Suppose -2*o = -6*o + 12, -o - 97 = -5*c. Calculate the remainder when 70 is divided by (4 + (-32)/(-10))/(6/c). 22 Suppose -x + 0 = -11. Let u = 2 - -3. Suppose 0 = -5*p + u + 20, 4*g - 2*p = 162. What is the remainder when g is divided by x? 10 Calculate the remainder when 35/28*-8 - -872 is divided by 36. 34 Suppose 5*a + x = -188, -3*a + 4*x - 173 + 51 = 0. Suppose 124 = 2*d - 0*d. Let c = d + a. What is the remainder when c is divided by 5? 4 Calculate the remainder when (-9 - (-217)/21) + 294/9 is divided by 6. 4 Suppose -4*k + 3*s = -196, -30*s = -5*k - 28*s + 238. What is the remainder when 97 is divided by k? 5 Let l(i) = 23*i - 226. What is the remainder when l(21) is divided by 20? 17 Suppose 48 = 5*w + 23. Suppose 0 = 5*t - 25, 4*t - 85 = -w*m + 6*t. Calculate the remainder when m is divided by 10. 9 What is the remainder when 493 is divided by 2 - ((-40 - -6) + 3)? 31 Let m(l) = 4*l - 12. Let a = 13 + -9. Suppose 0*k - 5*k + a*g = -30, k - 6 = 2*g. What is the remainder when 33 is divided by m(k)? 9 Let k(f) = -f + 5. Let p(z) = z**3 - 10*z**2 + z - 6. Let o be p(10). What is the remainder when k(o) is divided by 1? 0 Suppose 2*y = 3*u - 77, 4*u - 5*u + y + 26 = 0. Suppose u = -r + 6*r. Let m(x) = x**2 - x + 1. What is the remainder when m(r) is divided by 6? 3 Let h(j) = -42*j**3 + 0 + 1 - 6*j**3 - 5*j**3. Calculate the remainder when h(-1) is divided by (-56)/6*6/(-4). 12 Let b = 12 - 2. Suppose 4*g = 3*j - b, 3*j - 16 = -2*g + 24. Suppose -v - h + 41 = -5*h, -5*h - j = 0. What is the remainder when v is divided by 12? 9 Let j(y) = y**3 - 4*y**2 - 3*y. Let v be j(5). Suppose -5*p = 5*b - 70 - v, 2*p = 3*b - 68. What is the remainder when b is divided by 9? 2 Let q(y) = y**3 + 11*y**2 + 9*y - 11. Let r be ((-33)/44)/(-2 + 25/12). What is the remainder when q(r) is divided by 19? 13 Suppose 190 = -s + 218. Let i = -28 + 44. What is the remainder when s is divided by i? 12 Suppose -890 + 1066 = 8*j. Let m(g) = g**2 - 2*g - 1. Let v be m(3). Calculate the remainder when ((-4)/2)/(v/(-63)) is divided by j. 19 Let g(t) = 257*t - 147. Calculate the remainder when g(1) is divided by (-4)/(-10) - 183/(-5). 36 Let u = -446 + 455. Calculate the remainder when 24*1*5/5 is divided by u. 6 Let j(w) = 2*w - 1. Let i be j(3). Let v(s) = -s**3 + 6*s**2 - s - 2. Calculate the remainder when 34 is divided by v(i). 16 Let n be (-2)/9 - (-1675)/45. Let x = 9 + n. What is the remainder when x is divided by 12? 10 Let x = -306 + 157. Let a = -592 + 370. Let d = x - a. Calculate the remainder when d is divided by 19. 16 Suppose 0 = 2*s - 10 - 0. Suppose 10 = -2*q + 4*q. Suppose -9 - 1 = -q*n. Calculate the remainder when s is divided by n. 1 Let t = 1443 + -1263. Calculate the remainder when t is divided by 66. 48 Let r(h) = 23*h - 241. What is the remainder when r(12) is divided by 23? 12 Let m(a) = -a**3 - 11*a**2 + 190. What is the remainder when m(-14) is divided by 60? 58 Suppose 3*n - 62 = 29*h - 27*h, -5*h - 92 = -4*n. Calculate the remainder when n is divided by 10. 8 Suppose 30 = -3*k - 4*z + 65, -5*k + 41 = -2*z. Calculate the remainder when 51 is divided by k. 6 Suppose 20 - 52 = -4*p. What is the remainder when (42/10)/(39/585) is divided by p? 7 Suppose 5*w + 0*w - 55 = 0. Let j(n) = n**3 - 12*n**2 + 16*n - 8. Let x = -3 - -15. Calculate the remainder when j(w) is divided by x. 11 Let h = -101 + 151. Let v = h + -47. Calculate the remainder when v is divided by 2. 1 Let p(f) = -25*f**3 + f**2 - 5*f - 7. Calculate the remainder when 103 is divided by p(-1). 7 Let v be 0 + -2 + (-56 - 6). What is the remainder when 11 is divided by v/(-10) + 36/10 + -4? 5 Suppose 5*q = -k - 2*k + 40, -4*k + 4*q = 0. Suppose -y + 10 = m - 0*m, k*m + 3*y = 40. Calculate the remainder when 29 is divided by m. 4 Suppose -13*f + 371 + 58 = 0. Calculate the remainder when 71 is divided by f. 5 Let q(k) = 7*k + 2. Let y be q(-2). Calculate the remainder when -28*y/8 - 4 is divided by 20. 18 Let q = 95 + -48. Let w = q - 0. Suppose 3*t = 7*t - 64. What is the remainder when w is divided by t? 15 Suppose -q - 40 = -2*s + 2*q, s + 4*q = 42. Calculate the remainder when 34 is divided by s. 8 Let c(r) = r**2 + r + 9. Let j be 165/12 + (-4)/(-16). Suppose 4*o = 46 + j. What is the remainder when o is divided by c(0)? 6 Calculate the remainder when (-6 + -559)*(-2)/10 is divided by 24. 17 Suppose -3*w = 3*l - 27 - 9, 23 = 2*w + l. What is the remainder when 52 is divided by w? 8 Let s = -18 + 42. What is the remainder when (-32)/336*3 - (1012/(-14) + 2) is divided by s? 22 Let o = 40 + -20. Calculate the remainder when 116 is divided by o. 16 Suppose 4*b + 21*k - 100 = 19*k, 3*k = -5*b + 124. Calculate the remainder when 39 is divided by b. 13 Let w(z) = -3*z**2 - 12*z + 5. Let f be w(-4). Suppose 3*v + 4*x = 2*v, -5*x = -f*v + 125. Calculate the remainder when 56 is divided by v. 16 What is the remainder when ((-140)/(-3) - 0)*(-2205)/(-588) is divided by 94? 81 Let y be (-1 + 1)*(-7 - -8). Let h be 3/(-6)*y/1. Let j(r) = r**3 - r**2 + r + 3. Calculate the remainder when 8 is divided by j(h). 2 Suppose -2*j - 4*x = 3*j - 81, -3*j = -2*x - 31. Let s(z) = -3*z + 0*z**2 + z**2 - z - 3*z - 7. Calculate the remainder when s(10) is divided by j. 10 Let g be 274/4 + (-2)/(-4). Suppose -g = -3*q + 9. What is the remainder when 51 is divided by q? 25 Let u be (-1)/(-7) + 216/56. Suppose -u*v + 17 = -7. What is the remainder when 8 is divided by v? 2 Suppose -409 + 640 = 3*u. What is the remainder when u is divided by 3? 2 Suppose -5*t + 278 - 8 = 0. Calculate the remainder when 159 is divided by t. 51 Let h = 13 - 8. Suppose -h*o = -7 - 13. Suppose -f - 65 = -o*y + 14, 5*y - 102 = -2*f. Calculate the remainder when 57 is divided by y. 17 Let m = -71 + 140. Let k = 33 - 33. Suppose 0 = 6*q - k*q - 108. Calculate the remainder when m is divided by q. 15 Suppose 0 = -20*f + 23*f - 1029. Suppose -2*g - 61 = -f. Calculate the remainder when g is divided by 24. 21 Let s = 172 - 47. Suppose 0 = -2*l - 2*h + 4, 3*h + h = -5*l + 12. Calculate the remainder when s is divided by (-12)/(-3)*2*l. 29 Let w(r) = r**3 + 12*r**2 + 4*r + 6. Calculate the remainder when 80 is divided by w(-3). 5 Suppose -676 = -13*x + 1001. Calculate the remainder when x is divided by 30. 9 Let h(b) be the second derivative of -b**3/3 - 11*b**2/2 - 2*b. Calculate the remainder when 41 is divided by h(-11). 8 Let f be (-1 + 2 + -2)*(0 + 0). Suppose f = 81*w - 83*w + 10. Calculate the remainder when 29 is divided by w. 4 Suppose -4*o = -9*o + 15. Let w be (o/9)/((-3)/(-108)). Let n = 2 + w. Calculate the remainder when 54 is divided by n. 12 Let d(v) = 36*v**2 - v + 1. Let n = 9690 + -9685. What is the remainder when d(1) is divided by n? 1 Let y(q) = 58*q**2 - q + 1. What is the remainder when y(1) is divided by 51/3 + -3 + 1? 13 Suppose -3*q + 6*q = o - 66, -q + 316 = 4*o. Let c = 2902 - 2861. What is the remainder when o is divided by c? 37 Let t be 3*496/(-12) + -4. Let s = 254 + t. What is the remainder when s is divided by 26? 22 Suppose 7*l = 12*l - 85. Suppose -12*o = -l*o + 630. Let u = o + -77. What is the remainder when u is divided by 25? 24 Let z = 653 + -597. Calculate the remainder when z is divided by 31. 25 Let k = -33 + 36. Suppose k*g + 18 = 5*g. What is the remainder when 16 is divided by g? 7 Let r be (-2)/(-4)*(4 - -2). Let u be (8/3)/(2/r). Suppose 30 = f + u*f. What is the remainder when 21 is divided by f? 3 Let o(n) = 20*n**2 - 2*n**3 - 17*n**2 - 3*n + 3*n**3 + 8 + 0*n. Calculate the remainder when 9 is divided by o(-4). 1 Let f(h) = -h**2 - 25*h + 44. What is the remainder when 193 is divided by f(-26)? 13 Let i(f) = -2*f**2 + 34*f + 48. Calculate the remainder when i(16) is divided by 29. 22 Suppose 0 = -4*g + g - 42. Let d = 19 + g. Let z = 21 + -4. What is the remainder when z is divided by d? 2 Suppose 16*u + 69 - 4069 = 0. Calculate the remainder when u is divided by 11. 8 Let l(n) =
{ "pile_set_name": "DM Mathematics" }
t(209)*-1*1 - (sqrt(209) - (sqrt(209)*1 - sqrt(209)))*-2)/(sqrt(110)/((sqrt(1000) + sqrt(10))*2)). 22*sqrt(19) Simplify -4*(1 + ((sqrt(252) - (sqrt(252) + 2 + sqrt(252))*5)*-1 + 5)**2). -82552 - 6480*sqrt(7) Simplify 4*((sqrt(594)/sqrt(275))/(3*2*sqrt(6)/sqrt(2)))**2 + 3 + -1. 52/25 Simplify ((4 + 0 + sqrt(175) + 2 + (sqrt(175) - (sqrt(175) + 0 + -4 - sqrt(175)) - 6*(sqrt(175) + 1 - sqrt(175))))**2 + -4)*-4. -2848 - 320*sqrt(7) Simplify 3*(sqrt(32) - (sqrt(160)/sqrt(5) + 4))**2 + (sqrt(2) + sqrt(2) + 1 + -3 - sqrt(1568)). -26*sqrt(2) + 46 Simplify (-2*(4 + (sqrt(637) - -3*(1 + sqrt(637))) - (-1 + sqrt(637)*-1 + 0))*6 + 5)**2 + -2. 76440*sqrt(13) + 2301479 Simplify (4*(sqrt(3388)*-2 + sqrt(3388) + sqrt(28) + -1*sqrt(448)))/(sqrt(324)*3 - 1*sqrt(4)*2). -56*sqrt(7)/25 Simplify (-4*(5 + (2 + sqrt(475) + 0)*-1 + 1))**2 + 2. -640*sqrt(19) + 7858 Simplify ((-1*sqrt(19)*-5)**2 + sqrt(19) + sqrt(228)/(sqrt(72)/sqrt(6)) - (5 + sqrt(304) - (sqrt(19) - sqrt(19)*-2)*2)) + -1. 4*sqrt(19) + 469 Simplify -2*((6*(0 + sqrt(288) - sqrt(288))*6*4 + -3)**2 + -4)*-1. 10 Simplify (((sqrt(104) - ((sqrt(104) - (sqrt(104)*5*2 + sqrt(104) - sqrt(104))) + sqrt(104))) + sqrt(104))*-5)/(-4*sqrt(128)*-5). -5*sqrt(13)/8 Simplify 1 + (((-2*sqrt(64))/(sqrt(242) - sqrt(242)*-1))**2 - (-3*(sqrt(98)*3 - sqrt(98) - sqrt(98))*3)**2). -960345/121 Simplify (1*(1*((0 + sqrt(1700) - sqrt(1700)) + -1) + (sqrt(204) + (sqrt(204)*1 - sqrt(204))*6)/((sqrt(84) - (sqrt(84)*2 - sqrt(84)) - sqrt(84))/sqrt(7))))**2. 2*sqrt(17) + 18 Simplify 2 + (-2 + (sqrt(405) - ((-2*sqrt(405) - sqrt(405))*1 - sqrt(405))))**2 + -4 + 3. -180*sqrt(5) + 10130 Simplify (-3 + sqrt(162))**2 + (sqrt(2) - (sqrt(32) + 1)) + (sqrt(18) + 0 + sqrt(72)/sqrt(4))**2 + -2. -57*sqrt(2) + 240 Simplify 0 + 3 + ((1*1*sqrt(85)*-1)/(sqrt(315)/(sqrt(7)*2) + sqrt(45)))**2. 311/81 Simplify 3 + -4*(-1 + -4 + -4*(2*sqrt(8)*1)/sqrt(4) + -1). 27 + 32*sqrt(2) Simplify (sqrt(456)/sqrt(72) + 6*sqrt(1425))/(1*-2*(sqrt(6) - 2*sqrt(6))/sqrt(2)). 91*sqrt(19)/6 Simplify -5*(-4 + sqrt(1216)*1 + -1) - (-1 + 4 + (3 + 0 + sqrt(1216) - sqrt(1216)))**2. -40*sqrt(19) - 11 Simplify (2 + sqrt(605) + 0 + sqrt(605))**2 + (-4*-2*sqrt(605) + sqrt(605))**2 + 2*(3 + sqrt(245)*2)**2. 256*sqrt(5) + 53407 Simplify (sqrt(147)*1 + 5)*2 - ((sqrt(198)/(sqrt(18)/sqrt(3)))/(sqrt(11) - 1*(sqrt(11) - sqrt(44))))**2. 37/4 + 14*sqrt(3) Simplify -3 + sqrt(26)/(sqrt(2)*-3) + -5 - (-1 + -3*sqrt(1053)*6). -7 + 485*sqrt(13)/3 Simplify (4 + 3 + (sqrt(153) + -2*sqrt(153))*1*-4)*2. 14 + 24*sqrt(17) Simplify ((3 + sqrt(2448)*-1 - sqrt(2448)) + 4)*-2 - (3 + sqrt(2448) + -1 - 1*(3 + sqrt(2448))**2). 108*sqrt(17) + 2441 Simplify (-6*-3*sqrt(156) - (sqrt(156) + (sqrt(156) - (sqrt(156) - (4*sqrt(156)*3 + sqrt(156)))) + sqrt(156)))/(1*sqrt(300)*-2 - -2*sqrt(300)*-1). -3*sqrt(13)/20 Simplify (sqrt(99) + -5 - (sqrt(44)*-2)/sqrt(4)) + -3 - (sqrt(891) + (-2*sqrt(891)*-3 - sqrt(891)) + sqrt(891) + -2). -58*sqrt(11) - 6 Simplify -5*(((sqrt(228)*3)/sqrt(12))**2 - -2*sqrt(304) - -5*((-1 + 2 + sqrt(19))*-3)**2). -5355 - 490*sqrt(19) Simplify 5 + ((-2 + sqrt(648)*-2 + 4)*6 + 0)*-4. -43 + 864*sqrt(2) Simplify (-1*(sqrt(209) - (2*sqrt(209)*-2 + sqrt(209)) - 1*sqrt(209)*-1))/((sqrt(1100)*2 + sqrt(1100) - sqrt(11)) + (sqrt(11) - (sqrt(44) + sqrt(2156)))). -5*sqrt(19)/14 Simplify ((sqrt(130) - 4*(sqrt(130) + 4*sqrt(130))) + -3*sqrt(130)*6)/(2*2*(sqrt(10) + (sqrt(1000) - sqrt(1000)*-2) + sqrt(10))). -37*sqrt(13)/128 Simplify (3*(5 + sqrt(2) + 0) - sqrt(14)/((sqrt(336) + sqrt(21))/sqrt(3) + sqrt(7))) + ((sqrt(40) - sqrt(240)/sqrt(6))/sqrt(5)*-4*5)**2. 17*sqrt(2)/6 + 15 Simplify (-4*((-1 + sqrt(99))*-2 - sqrt(99)) + -3 - (2 + sqrt(99) + -2 - (sqrt(99) + (-1 + sqrt(99) + 3 - sqrt(99) - sqrt(99)))))**2. -594*sqrt(11) + 12060 Simplify -2*((2 + sqrt(637))**2*4 - sqrt(637)) + (sqrt(78)/(sqrt(6) - (sqrt(6) + sqrt(6) + sqrt(96) + sqrt(6))) - sqrt(78)/sqrt(6)*3). -5128 - 1279*sqrt(13)/6 Simplify (-6*((sqrt(66) - (2*sqrt(66)*-2 + sqrt(66))) + sqrt(66)*-2*-3))/(sqrt(48)/(-2*sqrt(8))*1*-3). -40*sqrt(11) Simplify (sqrt(6050) - (2*sqrt(6050) + sqrt(6050) + -2 - sqrt(6050)))**2*2 + (sqrt(14)/(sqrt(14)/sqrt(2)) + 3 - (-1*sqrt(4))/sqrt(2)*-3). -442*sqrt(2) + 12111 Simplify (5 + (-3*3*sqrt(14))/(sqrt(7) + (sqrt(7) - sqrt(21)/sqrt(3)*5 - sqrt(7)) + sqrt(7) - sqrt(7)) + -3)*3. 6 + 27*sqrt(2)/4 Simplify 2 + ((sqrt(176)*-2*-5 + -4)**2 + ((sqrt(176) + sqrt(176) + -4)*-6*-4)**2)*2. -74368*sqrt(11) + 864674 Simplify (sqrt(190)/sqrt(125) + sqrt(456)/(sqrt(12) + sqrt(24)/sqrt(2)))/(-6*sqrt(20)/(sqrt(10) + 1*sqrt(640))). -21*sqrt(19)/20 Simplify 1 + 1*(6*(2 + sqrt(75))**2 - (sqrt(75) - ((sqrt(75) - ((sqrt(75)*2 - sqrt(75) - sqrt(75) - sqrt(75)) + -3)**2) + sqrt(75))))*4. 380*sqrt(3) + 1561 Simplify (2*(2 + ((sqrt(600) + (sqrt(600) - 1*sqrt(600)))*-1 - (1*sqrt(600)*3 + sqrt(600)))/(2*sqrt(12)*2 + (sqrt(12) - (2*sqrt(96))/sqrt(8)))))**2. -400*sqrt(2)/3 + 5144/9 Simplify (6*(sqrt(325) - (sqrt(325) + -4 + sqrt(325))) + -5 - (sqrt(325) + (0 + sqrt(325) - sqrt(325)) + -2 - (2*sqrt(325) - sqrt(325))*4)**2) + -4. -2914 - 90*sqrt(13) Simplify (sqrt(171) - (sqrt(171) + 3 + sqrt(171))) + (sqrt(19) - (sqrt(1216) + -3)) - 6*(sqrt(475) + -2)*-3. -36 + 80*sqrt(19) Simplify ((sqrt(416) + (-1*sqrt(416) + sqrt(416))*-4)*-6)/((sqrt(128) + 2*sqrt(128)*-5 + sqrt(128))*-4). -3*sqrt(13)/32 Simplify (1 + sqrt(567) + -3 + sqrt(7) + (sqrt(7) + -1 + 1)*5)**2 + 4 + 2. -60*sqrt(7) + 1585 Simplify (((sqrt(108) - -6*3*sqrt(108))/sqrt(6))/((sqrt(9) + -6*sqrt(81))*4))**2. 361/2312 Simplify ((sqrt(76)*4 - sqrt(76))*4 + sqrt(76) + sqrt(76)*2*-5)/((sqrt(144) + sqrt(144) + sqrt(144)*-1)*-3 + (-1*sqrt(144)*-1 - sqrt(144))). -sqrt(19)/6 Simplify (sqrt(190)/(sqrt(360) + sqrt(10)) - (sqrt(1539)*4)**2) + (-1*sqrt(1539) + -2)**2*-2. -27710 - 503*sqrt(19)/7 Simplify ((sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(3240)/sqrt(8))) - (5*sqrt(5) + 4))*-1)**2 + -3 + 5. 104*sqrt(5) + 863 Simplify (-4 + sqrt(2736)*2 + sqrt(2736) + (sqrt(2736) - 2*sqrt(2736)*-2) + sqrt(2736) + (sqrt(2736) + (sqrt(2736) - (0 + sqrt(2736)))*-5 - sqrt(2736)*1*4))**2. -576*sqrt(19) + 98512 Simplify ((sqrt(180)*-6*-6)/sqrt(6))/(sqrt(1176) - (sqrt(1176)*-2 + sqrt(1176)) - sqrt(24)). 18*sqrt(5)/13 Simplify (3*((sqrt(1872) + 1*(2 + sqrt(1872)) + sqrt(1872))*-1 + (sqrt(1872) - (sqrt(1872) + (-2 + (sqrt(1872) - (sqrt(1872) + 0)) - sqrt(1872)))) + 4))**2. -1728*sqrt(13) + 67536 Simplify (-4*(sqrt(1900) + 2*(sqrt(1900) + 0 + sqrt(1900)) + -1 + (-2*(sqrt(114) + (sqrt(114) - 2*sqrt(114))))/(sqrt(600) + 1*sqrt(600)))*6)**2. -57600*sqrt(19) + 27360576 Simplify -2*(5 + 0 + sqrt(2299) + 0 + sqrt(2299) + -1*sqrt(2299)*-3 + -1 + sqrt(2299) + 5)**2. -165690 - 2376*sqrt(19) Simplify 2 + 6*(((sqrt(425) + -1)*-2 + 2*sqrt(425)*4)**2 - (sqrt(425) + (-1 + sqrt(425))*-2 + (-1 + sqrt(425) + 0 + sqrt(425) - sqrt(425)))) + -2. 720*sqrt(17) + 91818 Simplify -5 + (3 + 6*(-2 + sqrt(1377))*3 + 3 + -5 + 0)**2. -11340*sqrt(17) + 447368 Simplify 4*4*(((sqrt(891) + sqrt(891)*1)*-4)**2 + ((1*sqrt(77))/sqrt(7) - sqrt(11))*2)*3. 2737152 Simplify ((sqrt(36) + -1*sqrt(324) - sqrt(36)) + sqrt(108)/sqrt(300))/((sqrt(108)*1*6)/(sqrt(729)*-2 + sqrt(9) + sqrt(9))). 116*sqrt(3)/15 Simplify -4 + ((sqrt(304) - 6*sqrt(304)*1)/sqrt(8))/((sqrt(128)*-1 - sqrt(128))*6) + 3. -1 + 5*sqrt(19)/96 Simplify (-2*((sqrt(25) - 3*sqrt(25)*1)/(sqrt(10)/sqrt(32)) + -3) + -2)*6. 24 + 96*sqrt(5) Simplify ((sqrt(52)/((sqrt(24)*1)/sqrt(12))*3)/(5*(sqrt(242)*1 - sqrt(242)) + sqrt(242) + -2*(sqrt(242) + (sqrt(242) - sqrt(242)*1))))**2. 117/121 Simplify ((-1 + sqrt(1872) + -4 + sqrt(1872))*6)**2 - (1 + sqrt(117) + sqrt(1872)*-1). -8631*sqrt(13) + 270467 Simplify 3*(((-1*(sqrt(240)/sqrt(4) + sqrt(60)))/(sqrt(495)/sqrt(11)))/((sqrt(3888)*-1)/(sqrt(392)*-2 + sqrt(8))))**2. 1352/243 Simplify (1*(sqrt(5040) - (sqrt(5040) + sqrt(5040)*3 + sqrt(5040)))*-4)/(6*(sqrt(245) + -2*sqrt(245)) - (sqrt(245) + (sqrt(245) + 2*sqrt(245))*4 - sqrt(245))). -32*sqrt(7)/21 Simplify ((sqrt(77) - (sqrt(77)*-2 + sqrt(77) + sqrt(77)))*6 - (-4*(sqrt(77) - 1*sqrt(77)) + sqrt(77) + sqrt(77)))/(5*-4*(sqrt(343) - sqrt(7) - sqrt(7))). -sqrt(11)/25 Simplify ((-2*(sqrt(425) + sqrt(425) + sqrt(425) + -1 + sqrt(425)) + sqrt(425))**2 - sqrt(425)) + 3 - (-4 + sqrt(17)*-3 + sqrt(17)*2 + 0)**2. -153*sqrt(17) + 20799 Sim
{ "pile_set_name": "DM Mathematics" }