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derivative of v(y) wrt y? -66*y Let r(u) be the third derivative of u**8/56 - u**5/12 - 5*u**2. Find the third derivative of r(d) wrt d. 360*d**2 Let b(h) = 2*h**2 + 43*h + 88. Let z(f) = f**2 + 22*f + 44. Let p(s) = -3*b(s) + 5*z(s). Differentiate p(u) wrt u. -2*u - 19 Find the second derivative of -10*c**2 - 12*c + c + 6*c + 4*c wrt c. -20 Let d(u) = 2*u**5 - 4*u**3 + 4*u**2 - 11*u + 4. Let v(k) = -k**5 + k**3 - k**2 + k - 1. Let i(r) = d(r) + 4*v(r). Find the second derivative of i(b) wrt b. -40*b**3 Let u(l) be the second derivative of l**10/15120 + l**6/240 - l**4/4 + 2*l. Let k(g) be the third derivative of u(g). Find the second derivative of k(c) wrt c. 40*c**3 Let m(y) = y**2 + 2*y - 5. Let u be m(-4). Find the first derivative of -5 - 4*i**2 + 2 - u*i**2 - 2 wrt i. -14*i Let j(p) = -7*p**4 - 5*p**2 + p. Let w(b) = 1 - 3*b**2 - 4*b**4 - 1 + 0. Let n(i) = -3*j(i) + 5*w(i). What is the second derivative of n(m) wrt m? 12*m**2 Let o(j) = j**3 + j**2 - j - 1. Let y(s) = 9*s**3 + 2*s**2 - 2*s + 10. Let g(i) = 2*o(i) - y(i). What is the first derivative of g(v) wrt v? -21*v**2 Suppose 0*j + 12 = 3*j. What is the first derivative of 2*f**4 - 1 + 2*f**j - f**4 wrt f? 12*f**3 Suppose 0 = -8*y + 3*y + 15. What is the second derivative of 3*m**y - 5*m**2 - 5*m**2 + 10*m**2 - m wrt m? 18*m Let x = 1 + 1. Suppose x*m - 3*m + 3 = 0. What is the first derivative of 1 - 5*h**3 + 2*h**3 + m wrt h? -9*h**2 Suppose 0 = -5*c + 3*c. Let g(x) be the third derivative of -x**2 - 1/20*x**5 + 1/3*x**3 + 0*x + 0*x**4 + c. Find the first derivative of g(t) wrt t. -6*t Let h(k) be the first derivative of -k**7/14 + k**4/4 + 3*k - 3. Let z(q) be the first derivative of h(q). What is the third derivative of z(c) wrt c? -180*c**2 Let h(b) be the first derivative of -4*b**5/5 - 2*b**2 + 7. What is the second derivative of h(f) wrt f? -48*f**2 What is the third derivative of 26*o**3 - 26*o**3 - 2*o**4 + 2*o**2 + o**2 wrt o? -48*o Let z(u) be the third derivative of 0*u + 3*u**2 + 0*u**6 + 1/6*u**4 + 0*u**5 - 1/84*u**8 + 0*u**7 + 0 + 0*u**3. Find the second derivative of z(v) wrt v. -80*v**3 Let q(x) be the third derivative of -x**2 + 0*x**6 + 0*x**5 + 0 + 0*x**4 + 0*x + 1/70*x**7 + 1/2*x**3. What is the derivative of q(i) wrt i? 12*i**3 Let c(d) be the third derivative of -19*d**7/210 + d**4/4 + 4*d**2. Find the second derivative of c(h) wrt h. -228*h**2 Let w(x) be the third derivative of x**7/105 - x**4/4 - 4*x**2. What is the second derivative of w(q) wrt q? 24*q**2 Let o(f) = -19*f**4 + 6*f**2. Let z(v) = 38*v**4 - 12*v**2. Let j(k) = 7*o(k) + 4*z(k). Find the third derivative of j(m) wrt m. 456*m Let f(p) = p**3 - 7*p**2 - p + 9. Let b be f(7). Differentiate -9 + 6 - 7*y**b + 12 with respect to y. -14*y Let u(z) be the third derivative of 0*z**3 + 1/12*z**4 - 1/42*z**8 + 0 + 0*z**7 + 0*z + 5*z**2 + 0*z**6 + 0*z**5. What is the second derivative of u(o) wrt o? -160*o**3 Let p = 0 + 3. Suppose -p*g + 12 = g. Differentiate 1 - 5*v - v**3 + 2*v**g + 5*v wrt v. 3*v**2 Let g(k) be the third derivative of 1/168*k**8 + 0*k**7 + 1/30*k**5 + 0*k**3 + 3*k**2 + 0 + 0*k**6 + 0*k + 0*k**4. Find the third derivative of g(h) wrt h. 120*h**2 Let p(o) be the first derivative of 4*o**4 + 56*o**3/3 - 5. Find the third derivative of p(g) wrt g. 96 Let k(b) be the first derivative of 23*b**5/5 - 2*b**3/3 - 27. Find the third derivative of k(c) wrt c. 552*c Let g = -51 + 55. Let n(r) be the second derivative of 0*r**g + 4*r + 0 + 1/30*r**6 - 2*r**2 + 0*r**5 + 0*r**3. What is the first derivative of n(t) wrt t? 4*t**3 Let o(r) be the second derivative of -2*r**3/3 - r**2/2 + 27*r + 1. Differentiate o(h) with respect to h. -4 Let t = 24 + -45/2. Let h(x) be the second derivative of 0*x**3 + 0 + 2*x - 3/20*x**5 + 0*x**4 + t*x**2. Differentiate h(d) with respect to d. -9*d**2 Let d = 151/390 - -1/78. Let o(b) be the first derivative of d*b**5 - b + 0*b**4 + 1 + 0*b**3 + 0*b**2. What is the first derivative of o(j) wrt j? 8*j**3 Suppose 2*y - h - 10 = 3, -5*y + 38 = 3*h. Suppose 0 = l - y*d + 2*d + 18, 12 = 2*l + 2*d. What is the third derivative of 2 - x**2 + 2*x**3 - l wrt x? 12 What is the first derivative of -38*i + 15*i + 14*i + 3 wrt i? -9 Let c(m) = m**3 + 6*m**2 - 3*m - 9. Let w be c(-6). Suppose -4*l - 25 = -w*l. What is the derivative of l*j**2 - 2*j**2 + 2 - 4*j**2 wrt j? -2*j Let t(i) be the third derivative of -4*i**8/21 - 11*i**4/24 + 2*i**2 - 18. What is the second derivative of t(k) wrt k? -1280*k**3 Let j(h) = h**2 - h - 1. Let o(k) = -k**4 + 5*k**2 - 4*k - 4. Let n = -27 - -39. Let f(a) = n*j(a) - 3*o(a). What is the third derivative of f(u) wrt u? 72*u Let c(t) be the first derivative of -2 + 6*t**3 + 2*t**3 + 3*t + 3*t - 7*t**3. Differentiate c(u) wrt u. 6*u Let v(m) be the first derivative of -m**2/2 + 10*m + 3. Let n be v(8). Find the second derivative of n*d - 3*d**3 + d + d**3 wrt d. -12*d Let d(b) = 6*b**2 + b - 1. Let n be d(1). Suppose -n + 18 = 2*a. What is the second derivative of -h - 2*h + a*h - 2*h**2 wrt h? -4 Suppose 5*a - 11 = -1. What is the third derivative of a*v**6 - 4*v**2 + 2*v**6 + 5*v**2 - 6*v**2 wrt v? 480*v**3 Let a(g) be the third derivative of -13*g**9/504 + g**5/4 - 5*g**2. Find the third derivative of a(b) wrt b. -1560*b**3 Let u(s) = 5*s**3 + 9. Let p(h) = h**2 - 2*h**3 + 4*h**2 - 4 - 5*h**2. Let a(q) = 7*p(q) + 3*u(q). Differentiate a(w) with respect to w. 3*w**2 Let g(u) be the second derivative of -2*u**4/3 + 8*u**3/3 - 17*u. What is the second derivative of g(w) wrt w? -16 Find the second derivative of 0*z**3 + 10*z**3 + 2*z**2 + 28*z**3 + 60*z wrt z. 228*z + 4 Suppose 5*t = -30 + 40. Let j(i) be the first derivative of -i**t + 0*i**4 + 0*i + 1/6*i**6 + 3 + 0*i**3 + 0*i**5. What is the second derivative of j(f) wrt f? 20*f**3 What is the third derivative of -3*o**2 + 2*o**3 - 4*o**2 + 10*o**2 wrt o? 12 Let f(o) = 5 - o**2 + o**3 + 2*o**3 - 6*o**2 + 0*o**3. Let b(t) = 5*t**3 - 11*t**2 + 8. Let k(a) = -5*b(a) + 8*f(a). Find the third derivative of k(u) wrt u. -6 Let q(c) = -9*c**2 + 2. Let m(f) = -f**2 - 1. Let v(z) = 6*m(z) - q(z). Differentiate v(j) wrt j. 6*j Suppose -3*l = -5*l. Let m(k) be the second derivative of 1/4*k**4 + l*k**2 + 0*k**3 + 0 + k + 1/20*k**5. Find the third derivative of m(c) wrt c. 6 Let b(n) be the first derivative of n**7/140 + n**4/24 - 5*n**3/3 - 6. Let c(g) be the third derivative of b(g). Differentiate c(k) with respect to k. 18*k**2 Let n(x) = -x**2 - 27*x - 23. Let g be n(-26). Let p(u) be the first derivative of 0*u**2 + 4*u - 2/3*u**g + 2. Differentiate p(j) with respect to j. -4*j Let w(s) = 4*s**4 - 2*s**2 - 2*s. Let n(x) = -4*x**2 - 9*x**2 - 7*x + 12*x**4 + 7*x**2. Let l(i) = 2*n(i) - 7*w(i). What is the third derivative of l(z) wrt z? -96*z Let i(u) = -u + 4. Let h(r) = r**2 - r. Let a(q) = -h(q) + i(q). What is the first derivative of a(w) wrt w? -2*w Suppose 0 = -o - o + 8. What is the third derivative of -o*z**2 - z**2 - 4*z**3 + 6*z**2 + 3*z**3 wrt z? -6 Let a(k) be the third derivative of 1/60*k**6 + 0 + 0*k**5 - 1/6*k**3 + 0*k + 0*k**4 - k**2. Differentiate a(o) wrt o. 6*o**2 Let t = 4 - 2. Differentiate 1 - 1 - 4*y**t + 2 wrt y. -8*y Let v(f) be the first derivative of 3*f**5/5 - 8*f - 8. Find the first derivative of v(u) wrt u. 12*u**3 Suppose -31 = -2*n - 1. Find the second derivative of -4*v - v**2 + n - 15 wrt v. -2 Let y = 15 + -11. Find the third derivative of -2*s**4 + 5*s**2 - y*s**2 - 3*s**2 wrt s. -48*s Let b = 15 + -13. Find the second derivative of 7*w - 8*w**b - 2*w + 4*w - w wrt w. -16 Let l(w) = -3*w - 1. Let x(n) = n**4 - 7*n - 1. Let c(p) = 7*l(p) - 3*x(p). Differentiate c(f) wrt f. -12*f**3 What is the third derivative of 4*d**2 + 62 - 62 + 2*d**2 + 7*d**3 wrt d? 42 Let r(v) be the first derivative of v**10/5040 - v**6/180 - 4*v**3/3 - 2. Let h(t) be the third derivative of r(t). What is the third derivative of h(c) wrt c? 120*c**3 Let a(j) be the first derivative of 5*j**4/2 - 11*j + 10. What is the first derivative of a(f) wrt f? 30*f**2 Let n(l) = 2*l - 7. Let w be n(6). Suppose 3*v = 3*k + 18, 0*v + w*v = -5*k. What is the derivative of 6*p**3 - 2*p**3 + 1 - p**v wrt p? 9*p**2 Suppose 0*g - 3*g = -18. Let a = -4 + g. What is the third derivative of -2*q**3 + 2*q**a +
{ "pile_set_name": "DM Mathematics" }
y**4 + 496566*y**2 - 31*y - 1 wrt y. -8128925184*y What is the derivative of 7116415*k*o**2 + 16062618*o**2 - 2*o - 1 wrt k? 7116415*o**2 What is the first derivative of 17807*a*o + 53*a + 23*o + 120914 wrt o? 17807*a + 23 Find the third derivative of -156913*h**4 - 17*h**3 + 50593352*h**2. -3765912*h - 102 Differentiate 32919193*r**4 + 235454617. 131676772*r**3 What is the third derivative of z**5 + 9676*z**4 - 38*z**3 - 63484855*z**2 wrt z? 60*z**2 + 232224*z - 228 Find the second derivative of -7746484*q**2 - 19*q + 202947 wrt q. -15492968 Differentiate 18086289*t + 9001049. 18086289 Differentiate 1358961*f**3 - 10*f**2 + f*v - 19533594*v wrt f. 4076883*f**2 - 20*f + v Find the second derivative of -340*m**2*s**3*w**2 - 7537*m**2*s*w**3 + m*s**3*w**2 - 348*m - 61*s**3*w**3 - 4*s*w**3 wrt m. -680*s**3*w**2 - 15074*s*w**3 Find the third derivative of 20071245*a**2*i**3 + a**2*i**2 + 404*a**2*i + 11*a*i**2 + 3*i + 36 wrt i. 120427470*a**2 What is the second derivative of -57205117*y**2 - 10*y - 8474722 wrt y? -114410234 Find the second derivative of -61859035*t**2*w**2 - 4*t**2 - t*w**2 + 3*t*w + 32928*w**2 - 34 wrt t. -123718070*w**2 - 8 What is the second derivative of 446428636*m**3 + 1590064*m + 126? 2678571816*m Find the first derivative of -34180221*b + 13965601 wrt b. -34180221 What is the third derivative of -p**3*t**2 + 193603*p**3*t + 9*p**3 + 53*p**2*t**2 - 2*p**2 - p + 1896*t**2 - 3 wrt p? -6*t**2 + 1161618*t + 54 What is the second derivative of -39929446*h*t**2 + 10*h*t - 64*h - 822*t wrt t? -79858892*h What is the second derivative of -38421*j**4 - 335*j**3 - 17408567*j? -461052*j**2 - 2010*j Differentiate 172117562*b + 161303707. 172117562 What is the second derivative of -13*x**5 - 5713630*x**4 - 6*x - 36020263 wrt x? -260*x**3 - 68563560*x**2 What is the second derivative of -1675*l**3*x**3 - 7127*l**3*x**2 + 196699*l**3 - 10*l**2*x + 3*l*x + x + 2 wrt x? -10050*l**3*x - 14254*l**3 Find the second derivative of -6*h*k**2*r + 7472528*h*k**2 + 228*h*k*r + 7*h*k - 3804*r wrt k. -12*h*r + 14945056*h Find the second derivative of -60014999*q**3 - 18585*q - 1240 wrt q. -360089994*q Find the second derivative of 447667428*r**5 + 39424*r + 400. 8953348560*r**3 What is the third derivative of -1945*g**3*q**3 - 44812651*g**3 + 3*g*q**2 + 2349*q**3 wrt q? -11670*g**3 + 14094 What is the third derivative of 159745952*r**3 - 71*r**2 - 6*r - 8748 wrt r? 958475712 Differentiate -x**2 - 41286856*x + 23280751. -2*x - 41286856 What is the third derivative of 18996092*k**4 + 23160058*k**2 wrt k? 455906208*k What is the derivative of -75572225*z**4 - 64797568 wrt z? -302288900*z**3 What is the first derivative of -180*c**4 - 28964*c**3 - 2*c + 319169210? -720*c**3 - 86892*c**2 - 2 Differentiate 111604*c**2*s - 8*c**2 - 22*c*s - 38602*c + 1 wrt s. 111604*c**2 - 22*c Find the third derivative of -376609884*b**4 + 6*b**2 - 10468*b - 2. -9038637216*b What is the third derivative of 10*m**4 + 3437020*m**3 + 262952944*m**2 wrt m? 240*m + 20622120 What is the second derivative of 6039*a**3*k**3 - 8*a**3*k + 423*a**3 + 282*a**2*k + 6206*a*k**5 + 36*a wrt k? 36234*a**3*k + 124120*a*k**3 Differentiate 5041*m**4*q**3 - 623*m**2*q**3 - 765*q**3 - 149*q**2 + q + 1 wrt m. 20164*m**3*q**3 - 1246*m*q**3 Find the second derivative of 19177*u**5 - 146*u**3 + u**2 + 169521527*u. 383540*u**3 - 876*u + 2 Find the first derivative of -o*q**2 + 3*o*q - 1169*o - 181*q**2 - 1031*q - 142170 wrt q. -2*o*q + 3*o - 362*q - 1031 Find the third derivative of 19467021*x**3 + 6988679*x**2 wrt x. 116802126 What is the third derivative of -21822*i**4 + 2896*i**3 - 403614019*i**2 wrt i? -523728*i + 17376 What is the second derivative of -9*f**5*r - 30022*f**4*r**3 + 43*f*r**3 - f*r**2 + 127*f*r + 5 wrt f? -180*f**3*r - 360264*f**2*r**3 What is the second derivative of -696512985*b**3*l**2 + 3*b**3*l + 4537263*b**3 wrt l? -1393025970*b**3 Find the first derivative of -26*a*b*y + 766462*a*b + 3*b*y + b + 1721*y wrt y. -26*a*b + 3*b + 1721 What is the second derivative of -81499*j**4 - 40*j**3 + 22007926*j? -977988*j**2 - 240*j What is the third derivative of -12*h*j**5*v**3 + 1359660*h*j**3 + 461*h*j**2*v**2 + 67*h*j*v + 369*j**2 - 2*j*v**3 wrt j? -720*h*j**2*v**3 + 8157960*h Find the first derivative of -7749243*l**2 + 15885842 wrt l. -15498486*l What is the second derivative of 377872*i**3 + 22*i**2 - 12310083*i + 1 wrt i? 2267232*i + 44 Find the second derivative of 6*g**3*j**2 - 19342*g**3 + 4*g**2 - 3646*g*j**2 + 10*j wrt j. 12*g**3 - 7292*g Find the third derivative of v**6 + 24027*v**3*w - 61*v**3 - 4*v**2*w + 2386*v*w + 52*w + 2 wrt v. 120*v**3 + 144162*w - 366 Find the second derivative of -157796857*s**2 - 62308568*s wrt s. -315593714 Find the third derivative of 309985*r**4 + 2*r**3 + 29372004*r**2 wrt r. 7439640*r + 12 Find the second derivative of -13179591*s**2 + 36*s + 72900 wrt s. -26359182 Find the first derivative of 8616387*f + 2481159 wrt f. 8616387 Find the first derivative of 4695*k**2*p*s**2 - 478*k*s**2 + 2*p*s - 173960*s**2 wrt k. 9390*k*p*s**2 - 478*s**2 Find the third derivative of -4050*a**3*d + 717*a**3 + a**2*d - 21442*a - 3*d + 75 wrt a. -24300*d + 4302 What is the second derivative of -2326*b*n**5 + 7*b*n**4 + 435*b*n - 17854*b - 8*n**2 wrt n? -46520*b*n**3 + 84*b*n**2 - 16 What is the derivative of -989775409*p + 955289421 wrt p? -989775409 Differentiate -30242*d*o**3 - 1459*d*o**2 + 101144*o**3 + 13*o**2 + 3*o wrt d. -30242*o**3 - 1459*o**2 Find the third derivative of -2*j**6 - 556866*j**4 - 6962*j**2 + 514. -240*j**3 - 13364784*j Find the second derivative of -10233021*j**2 - 188763*j - 2 wrt j. -20466042 What is the derivative of 91392356*c*r - 16580*c + 715 wrt r? 91392356*c Find the second derivative of -83*s**3*v*z - s**3*z - 14735*s**2*v*z - s*v*z - 8*s*z - 10500*s + 2*v*z - 4*v wrt s. -498*s*v*z - 6*s*z - 29470*v*z Find the third derivative of 29164*k**3*o**3*y + k**3*y - 4*k**2*o*y**3 + 250*k*o**3*y**3 + 95874*o**2*y wrt o. 174984*k**3*y + 1500*k*y**3 What is the third derivative of 9927*a**4*t**2 + 970*a**3*t**2 + 128*a**2*t - 31*a**2 + 138*a*t**2 + t**2 - 2*t wrt a? 238248*a*t**2 + 5820*t**2 Differentiate f**2 + 79826295*f + 53810014 with respect to f. 2*f + 79826295 What is the third derivative of -2*k**5 + 2*k**4 + 3228449*k**3 - 31*k**2 + 8*k + 682? -120*k**2 + 48*k + 19370694 Find the first derivative of -185*l**3 + 14229*l**2 + 14874967. -555*l**2 + 28458*l What is the second derivative of 45072*m**2*p**3 - 25*m**2*p - 4*m**2 + 345*m*p**3 + 7646*m*p + m + 2*p**2 wrt m? 90144*p**3 - 50*p - 8 What is the third derivative of 28089532*n**3 - 40252972*n**2 wrt n? 168537192 Find the first derivative of -1400*a*k*v + 7781*a*k - 6*k**2*v - 491*k**2 - k*v wrt v. -1400*a*k - 6*k**2 - k Find the first derivative of 1519922*d*t - 7*d + 17744*t - 245 wrt d. 1519922*t - 7 What is the third derivative of -11019507*l**4 + 9*l**2 + 4*l + 2001 wrt l? -264468168*l What is the second derivative of 30803079*g**2 - 54*g + 51460? 61606158 Find the second derivative of 8773*a**3*n - 2*a**3 - a**2*n + 385*a**2 + 24*a*n + 771008*a wrt a. 52638*a*n - 12*a - 2*n + 770 Find the second derivative of 127200668*c**2 - 52752*c - 5492. 254401336 What is the second derivative of -29597387*y**3 + 25369542*y? -177584322*y What is the first derivative of 27581456*j**2 - 2*j + 3385057 wrt j? 55162912*j - 2 Differentiate -121729607*o - 106601956 with respect to o. -121729607 What is the second derivative of 53075499*w**3 - 10281*w + 5 wrt w? 318452994*w Differentiate -66880017*l**2 - 51348365. -133760034*l What is the second derivative of -88393094*x**2 + 299*x - 1473? -176786188 Differentiate -3042012*r**4 - 4264814. -12168048*r**3 Find the first derivative of 13*m**3 + 366486*m - 41033533. 39*m**2 + 366486 Find the first derivative of 1646*m**4 + 3069*m + 227393823. 6584*m**3 + 3069 What is the second derivative of -2*q**5 + 5402983*q**2 - 16019256*q wrt q? -40*q**3 + 10805966 What is the first derivative of 40497182*s**2 - 16565945 wrt s? 80994364*s Differentiate 268*g**3*u*v**2 + 976*g**3*v - 28*g**3 - 2*g**2*v**2 - 480*g**2*v + 54915*g*u*v**2 + v**2 + 1 with respect to u. 268*g**3*v**2 + 54915*g*v**2 Differentiate 950*u**4 - 2275*u**2 + 737378 wrt u. 3800*u**3 -
{ "pile_set_name": "DM Mathematics" }
2}? 3/182 What is prob of picking 1 c and 2 k when three letters picked without replacement from {e: 3, c: 1, i: 1, a: 1, f: 2, k: 4}? 3/110 Calculate prob of picking 1 f, 2 v, and 1 z when four letters picked without replacement from {i: 1, f: 3, v: 4, p: 4, z: 4, k: 1}. 18/595 Calculate prob of picking 2 g when two letters picked without replacement from {s: 6, g: 3, p: 1, o: 2, i: 6}. 1/51 What is prob of picking 1 g and 1 w when two letters picked without replacement from swwwwsgd? 1/7 Calculate prob of picking 1 w and 1 s when two letters picked without replacement from ssgwswgwgwuws. 10/39 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 5, m: 3, p: 1, t: 1, y: 10}. 5/19 Two letters picked without replacement from nuucxucunjcxuxujx. What is prob of picking 1 c and 1 u? 9/68 Two letters picked without replacement from {q: 17, h: 1}. What is prob of picking 2 q? 8/9 Calculate prob of picking 2 f and 2 v when four letters picked without replacement from ffvfvfvvfvfv. 5/11 Four letters picked without replacement from {y: 1, z: 1, q: 3}. What is prob of picking 1 z and 3 q? 1/5 What is prob of picking 2 i and 2 w when four letters picked without replacement from iiiwwiwiii? 3/10 Four letters picked without replacement from wwqqqw. What is prob of picking 2 w and 2 q? 3/5 Two letters picked without replacement from {y: 1, a: 1, i: 3, c: 2}. Give prob of picking 1 c and 1 i. 2/7 Calculate prob of picking 1 k, 1 l, and 1 y when three letters picked without replacement from {c: 1, l: 2, y: 1, z: 1, v: 1, k: 1}. 2/35 Three letters picked without replacement from {w: 1, f: 1, c: 2, p: 2}. Give prob of picking 1 w and 2 c. 1/20 Four letters picked without replacement from cbcsbscssssbsbbcb. What is prob of picking 4 b? 3/476 Two letters picked without replacement from {x: 2, r: 4, b: 4}. Give prob of picking 1 x and 1 r. 8/45 Four letters picked without replacement from {x: 5, w: 5}. What is prob of picking 3 x and 1 w? 5/21 Three letters picked without replacement from lajwiiaaiwwliiai. What is prob of picking 3 a? 1/140 Calculate prob of picking 1 p and 2 i when three letters picked without replacement from likikiiakap. 2/55 Three letters picked without replacement from ncnccnnccccccccn. Give prob of picking 1 c and 2 n. 11/56 Two letters picked without replacement from gcdlclccccggldgggcg. Give prob of picking 1 g and 1 d. 14/171 Calculate prob of picking 2 d and 1 g when three letters picked without replacement from {g: 2, d: 2}. 1/2 What is prob of picking 1 u, 1 n, and 1 s when three letters picked without replacement from {s: 1, m: 1, u: 1, n: 1, l: 1}? 1/10 Four letters picked without replacement from ssskszaszkskwzszaw. What is prob of picking 1 w, 1 s, 1 k, and 1 a? 7/255 What is prob of picking 1 h and 1 t when two letters picked without replacement from {v: 1, t: 1, h: 2, s: 1, a: 1, f: 8}? 2/91 Two letters picked without replacement from {f: 3, i: 2, w: 5, e: 3}. What is prob of picking 1 w and 1 i? 5/39 What is prob of picking 3 j and 1 e when four letters picked without replacement from {y: 2, e: 9, m: 2, n: 1, t: 1, j: 3}? 1/340 What is prob of picking 1 g and 1 z when two letters picked without replacement from {e: 1, j: 6, n: 1, g: 1, i: 3, z: 6}? 2/51 What is prob of picking 1 r and 1 n when two letters picked without replacement from {n: 1, r: 12}? 2/13 Calculate prob of picking 2 g when two letters picked without replacement from tnntgtgnnnqtnn. 1/91 What is prob of picking 1 l and 2 q when three letters picked without replacement from {l: 2, v: 10, q: 6}? 5/136 Two letters picked without replacement from pllpplgpp. What is prob of picking 2 p? 5/18 Three letters picked without replacement from {o: 7}. Give prob of picking 3 o. 1 Calculate prob of picking 1 c, 1 p, 1 y, and 1 l when four letters picked without replacement from {c: 1, p: 1, u: 1, l: 1, y: 1}. 1/5 What is prob of picking 2 c, 1 w, and 1 g when four letters picked without replacement from gcccwgcccccw? 112/495 Two letters picked without replacement from yyyyyyy. What is prob of picking 2 y? 1 Calculate prob of picking 3 u when three letters picked without replacement from {u: 5}. 1 Calculate prob of picking 1 k and 3 h when four letters picked without replacement from khkkkkkhkhkkkkkkhkkk. 64/4845 Calculate prob of picking 1 j and 1 z when two letters picked without replacement from ztttoooamtjj. 1/33 What is prob of picking 1 v, 1 d, and 2 e when four letters picked without replacement from eeedeeeevveed? 144/715 Three letters picked without replacement from ttttttttttttg. Give prob of picking 2 t and 1 g. 3/13 Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, o: 4, c: 1, f: 2}. 1/36 Calculate prob of picking 2 q when two letters picked without replacement from eqqeqqeqqq. 7/15 Three letters picked without replacement from nkmqgmmgklknggg. Give prob of picking 3 k. 1/455 Calculate prob of picking 1 d, 1 s, and 1 n when three letters picked without replacement from {n: 3, h: 3, f: 1, d: 1, s: 6}. 9/182 Three letters picked without replacement from {t: 4, y: 4, h: 5, s: 6}. What is prob of picking 2 h and 1 y? 40/969 Calculate prob of picking 2 m when two letters picked without replacement from ihxmmxxxmjxy. 1/22 Calculate prob of picking 2 f when two letters picked without replacement from {r: 5, f: 2, i: 3}. 1/45 What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 2, y: 4, n: 1, g: 1, z: 2, q: 7}? 1/34 Three letters picked without replacement from {v: 1, w: 7, h: 2}. What is prob of picking 1 v and 2 w? 7/40 Three letters picked without replacement from {m: 1, p: 1, y: 2, q: 1, r: 4}. What is prob of picking 1 m, 1 r, and 1 y? 2/21 Three letters picked without replacement from qwwwwwwwqwkwe. Give prob of picking 1 q and 2 w. 36/143 What is prob of picking 1 d and 1 n when two letters picked without replacement from dddnddnann? 4/9 Calculate prob of picking 2 g and 1 b when three letters picked without replacement from ogbrgrrgokarara. 3/455 What is prob of picking 4 s when four letters picked without replacement from {s: 7}? 1 Two letters picked without replacement from xfoso. Give prob of picking 1 s and 1 f. 1/10 Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, i: 4}. 1/15 What is prob of picking 1 g, 1 m, and 1 e when three letters picked without replacement from {g: 1, r: 7, w: 2, e: 2, z: 2, m: 2}? 1/140 What is prob of picking 1 m, 1 p, and 1 h when three letters picked without replacement from {e: 1, m: 2, p: 1, u: 1, l: 2, h: 2}? 1/21 Four letters picked without replacement from ztotttzvovtt. Give prob of picking 2 t, 1 z, and 1 v. 4/33 Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {g: 5, c: 3, p: 1, t: 3, s: 1}. 3/286 Four letters picked without replacement from aaataaaaataata. Give prob of picking 1 t and 3 a. 45/91 What is prob of picking 2 u and 1 h when three letters picked without replacement from {h: 2, u: 2, b: 1}? 1/5 Three letters picked without replacement from ppdppppppppppdddpppp. What is prob of picking 3 p? 28/57 What is prob of picking 4 l when four letters picked without replacement from lllll? 1 Three letters picked without replacement from mmjmmjmmmmjmmmm. Give prob of picking 1 m and 2 j. 36/455 What is prob of picking 2 v when two letters picked without replacement from {t: 2, v: 4, h: 5, x: 4}? 2/35 Two letters picked without replacement from yyyyyyyyyyyyygyyyyyy. Give prob of picking 2 y. 9/10 Three letters picked without replacement from {z: 8, j: 3, l: 6, q: 1}. What is prob of picking 1 j and 2 z? 7/68 Two letters picked without replacement from {o: 3, v: 3, i: 5, u: 2}. What is prob of picking 1 o and 1 i? 5/26 What is prob of picking 1 b and 2 i when three letters picked without replacement from baalbbbyitbatbaabiab? 2/285 Calculate prob of picking 1 m, 1 w, and 2 j when four letters picked without replacement from sjwmmjsmmwsjjmmjmmm. 15/323 Three letters picked without replacement from rqrmsioqm. Give prob of picking 1 s and 2 r. 1/84 What is prob of picking 2 g and 1 a when three letters picked without replacement from aaaagag?
{ "pile_set_name": "DM Mathematics" }
s the second derivative of 104850694*n**5 - 394*n + 108963? 2097013880*n**3 Find the third derivative of 488388389*h**3 - 1229*h**2 + h + 37262. 2930330334 What is the second derivative of 111325*p**5 - 222*p**2 - 9*p - 14245841 wrt p? 2226500*p**3 - 444 Find the second derivative of 29435594*h**5 - 3096*h - 1478 wrt h. 588711880*h**3 Find the third derivative of -751171*z**4 - 2550063*z**2. -18028104*z Find the third derivative of -74337060*t**4 - 2*t**3 + 244542926*t**2. -1784089440*t - 12 What is the first derivative of -7805317*h - 8742168? -7805317 What is the third derivative of 95250453*a**5 - 32*a**2 - 168558*a - 8? 5715027180*a**2 What is the first derivative of -a*l**2*z - 99666203*a*z - 4*l**2*z - 17159*l**2 + l - 3*z + 10 wrt a? -l**2*z - 99666203*z What is the derivative of 209725*p**3 + 745*p**2 - 349536503 wrt p? 629175*p**2 + 1490*p Differentiate -1729435*c - 2680881 with respect to c. -1729435 Differentiate -1126*p**2 + 8655*p + 32430399 wrt p. -2252*p + 8655 Differentiate 14*d**2*g**2 + 2*d**2 - 119005*d + g**2 - 223*g - 4985 with respect to d. 28*d*g**2 + 4*d - 119005 Find the second derivative of -13*m**3*o**3 - 16*m**3*o + 4*m**2*o - 1797706*m*o**4 - 1131*m*o - 3*m + 4*o - 2 wrt o. -78*m**3*o - 21572472*m*o**2 What is the third derivative of 97925032*o**3 - 392052866*o**2 + 2? 587550192 What is the derivative of 5*n**3 + 426000*n**2 + 2*n + 41077211 wrt n? 15*n**2 + 852000*n + 2 What is the third derivative of 52842015*s**3 - 73594931*s**2 wrt s? 317052090 What is the third derivative of -154*s*t**4 + 16*s*t**3 - 2*s*t + 2606*s + 7*t**4 + 48*t**3 + 27*t**2 wrt t? -3696*s*t + 96*s + 168*t + 288 What is the third derivative of -59*c**4 + 711196*c**3 + 215446*c**2 - 243*c wrt c? -1416*c + 4267176 What is the derivative of -15*d**2*s + 8*d**2 - 5*d*s + 1971*d - 44516*s - 411 wrt d? -30*d*s + 16*d - 5*s + 1971 Find the second derivative of 2*b**2*p*q**2 - 6*b**2*p - 7*b**2*q - 1438081*b*p*q**2 + 2*b*p*q + 87*b*q - 25*p*q - 7 wrt q. 4*b**2*p - 2876162*b*p Find the first derivative of 50389011*v**4 + 65124031. 201556044*v**3 What is the third derivative of k**3*l**3 - 3*k**3*l**2 - 6*k**3 - k**2*l**3 + 140*k**2*l**2 - 8*k*l**3 - 455*k*l + 582*l**3 wrt l? 6*k**3 - 6*k**2 - 48*k + 3492 Find the second derivative of 2063416*p**2*q**2*w - 6*p**2*q + 5*p**2 + 23493*p*q**2*w + 82*q**2 + 31*q*w wrt p. 4126832*q**2*w - 12*q + 10 What is the second derivative of -95*u**4 + 2072*u**3 + 212*u**2 - 515560610*u? -1140*u**2 + 12432*u + 424 Differentiate -746320*n**3 - 17270288 wrt n. -2238960*n**2 Find the first derivative of -69289449*z + 115457447 wrt z. -69289449 Find the third derivative of -86302*o**4 - 51*o**3 + 62063*o**2 - 28. -2071248*o - 306 Find the first derivative of 991942239*r**3 - 225861514 wrt r. 2975826717*r**2 What is the first derivative of 3*d**2*u + 138*d**2 + 26*d*u + 13*d - 806034*u wrt d? 6*d*u + 276*d + 26*u + 13 What is the second derivative of 19313*q**4 + q**3 - 793*q**2 - 391657887*q? 231756*q**2 + 6*q - 1586 What is the second derivative of 15128923*p**2 - 199369007*p? 30257846 What is the third derivative of -u**5 - 134472452*u**3 + 310088947*u**2 - 2 wrt u? -60*u**2 - 806834712 Find the first derivative of 2536*m**2 + 953*m + 4177966. 5072*m + 953 Find the second derivative of -11186*a*g**3 + 3756595*a*g - 3*a - 509*g**4 - 2*g + 5 wrt g. -67116*a*g - 6108*g**2 Differentiate 2*c**4 - 4520*c**3 - 62*c**2 - 9951672. 8*c**3 - 13560*c**2 - 124*c What is the third derivative of -49756*k*n**3 - 4*k*n**2 + k + 146*n**5 + 18*n**2 + 35487*n - 1 wrt n? -298536*k + 8760*n**2 What is the third derivative of 755179*c*o**4 + c*o**3 - c*o**2 + c*o - 15*c - 2*o**3 - 354*o**2 + 2*o wrt o? 18124296*c*o + 6*c - 12 What is the third derivative of -382711*l**2*m**3 - 184*l**2*m - 2*l*m**2 - l*m + m**4 + 5989*m**2 wrt m? -2296266*l**2 + 24*m Differentiate 12135491*l**4 + 98993931 wrt l. 48541964*l**3 What is the derivative of 261390214*g - 202462263? 261390214 Find the third derivative of -4821*p**4 + 11411*p**3 + 14*p**2 + 2355484 wrt p. -115704*p + 68466 Find the third derivative of -223*y**5 - 2*y**4 + 9936*y**3 - 151874792*y**2. -13380*y**2 - 48*y + 59616 What is the third derivative of 12*c**5 + 31635*c**3 + 32870*c**2 + 36 wrt c? 720*c**2 + 189810 Find the second derivative of -111900422*s**2*z**2 - 29316999*s*z**2 wrt s. -223800844*z**2 What is the first derivative of 705233*k**3 - 45*k**2*o + o - 61834029 wrt k? 2115699*k**2 - 90*k*o Find the second derivative of 160964837*t**3 + 30503580*t. 965789022*t Find the second derivative of 1544*j**3*m**2 - 199140*j**3 + 261*j**2*m**5 - 2*j**2*m - 3*m wrt m. 3088*j**3 + 5220*j**2*m**3 Find the third derivative of 7921048*d**4 - 2*d**2 + 1882737 wrt d. 190105152*d Find the second derivative of -21801*j**4*w - 55*j**3*w - 2190*j*w + j + 27*w - 1 wrt j. -261612*j**2*w - 330*j*w Find the second derivative of 72*s**4 + s**3 + 110685*s**2 + 39*s + 2842417 wrt s. 864*s**2 + 6*s + 221370 What is the first derivative of 5548332*n + 7697445? 5548332 Find the first derivative of 346265771*i**3 - 243656772. 1038797313*i**2 What is the first derivative of -2153*m**2 - 894*m - 14739551? -4306*m - 894 What is the first derivative of -5*j**2 + 14868367*j - 52523762 wrt j? -10*j + 14868367 Find the third derivative of 11260*i**4*v**3 + 277*i**3 + 4*i**2*v**3 - 9*i**2*v**2 + 69*i*v - 111*v**3 wrt i. 270240*i*v**3 + 1662 What is the derivative of 43*o**2*v - 548562*o**2 + 2*o*v - 270909097*v wrt o? 86*o*v - 1097124*o + 2*v What is the derivative of 4*p*t**3 + 4490*p*t**2 + 2*p*t - 51*p - 12*t**3 - 339*t**2 - 2*t - 35 wrt p? 4*t**3 + 4490*t**2 + 2*t - 51 Find the second derivative of 105302075*m**4 + 3*m - 15146727. 1263624900*m**2 Find the third derivative of 477591091*c**3*w - 7*c**2*w + 50*c*w + 78*w wrt c. 2865546546*w What is the third derivative of 48*x**5 + 70*x**4 + 79*x**3 + 133521*x**2 + 160*x wrt x? 2880*x**2 + 1680*x + 474 Find the third derivative of 7*c**4 + 4599837*c**3 - 194*c**2 - 18*c + 404. 168*c + 27599022 Find the third derivative of -80526*g**6 + 29*g**5*h**2 - g**2 + 2*g*h**2 + 15088*h**2 - 1 wrt g. -9663120*g**3 + 1740*g**2*h**2 Find the second derivative of 1143642*l**4 - 6*l**2 - 69186697*l wrt l. 13723704*l**2 - 12 Find the second derivative of 8*b**2*h*r**2 - 139079*b**2*h*r + 21*b**2 + 16*b*h*r + 172*b*h - 3*b*r**2 + 44*h*r - h + 6 wrt b. 16*h*r**2 - 278158*h*r + 42 What is the second derivative of 1946*s*x**2 + 29467184*s*x - 1633*x**2 wrt x? 3892*s - 3266 Find the second derivative of 2327*c**2*f**2 - 292*c**2*f + 8*c**2 + 1927*c*f**2 - 10*c*f - 5*c - 10*f - 1 wrt f. 4654*c**2 + 3854*c Differentiate -4566948*l - 2255774. -4566948 What is the second derivative of 23200988*o**3 - 35059350*o? 139205928*o Find the second derivative of 31711597*m**3 - 37704369*m wrt m. 190269582*m What is the derivative of 35522667*g**3 - 115418125? 106568001*g**2 What is the first derivative of 12572*c**3*u**3 + 411*c**2*u**3 - 173385*u**3 - 1 wrt c? 37716*c**2*u**3 + 822*c*u**3 What is the third derivative of -7354764*x**3 + 910804*x**2 + 2*x? -44128584 Find the second derivative of 161555968*l**3 - l**2 + 141336620*l + 2 wrt l. 969335808*l - 2 Find the third derivative of -3*q*x**5 - 2*q*x**2 - q*x + 5174356*x**3 + 181*x + 2538 wrt x. -180*q*x**2 + 31046136 Find the third derivative of 10*f**2*n**2*u**3 + f**2*n*u - 5301770*f**2*u**3 + 2*f**2*u - 2*f*n**2*u**2 - 2*n**2*u - 2*n**2 + 3952437*n*u**2 + u**2 wrt u. 60*f**2*n**2 - 31810620*f**2 Find the third derivative of 11694823*j**3*l**3 - 6*j**3*l**2 - 5*j**3 + j*l**2 + j + 4824*l wrt l. 70168938*j**3 Find the third derivative of 7675012*a**3 - 8153*a**2 + a + 15 wrt a. 46050072 What is the first derivative of 14712606*o**4 - 19147393 wrt o? 58850424*o**3 What is the third derivative of 4033935*k**5 + 592437*k**2 - 13*k? 242036100*k**2 What is the first derivative of 563631945*q*r - 57678*q - 3242 wrt r? 563631945*q What is the third derivative of -3728533*f**3 + 240803*f**2? -22371198 What is the first derivative of -18940*i**3*w - 2011267*i**3 + 57*i**2 + 9914*i*w + 2 wrt w? -18940*i**3 + 9914*i Find the first derivative of 13670905*c*d**3 - 16*c*d**2 + 2*d**3 - 109286009*d**2 wrt c. 13670905*d**3 - 16*d**2 What is the third derivative
{ "pile_set_name": "DM Mathematics" }
ithout replacement from weahzpa. What is prob of sequence apa? 1/105 Calculate prob of sequence oz when two letters picked without replacement from {o: 12, z: 1}. 1/13 Calculate prob of sequence rr when two letters picked without replacement from {r: 7, s: 2, c: 9, k: 1}. 7/57 Two letters picked without replacement from zcszbffs. Give prob of sequence cf. 1/28 Two letters picked without replacement from {o: 9, i: 10}. Give prob of sequence io. 5/19 Four letters picked without replacement from tfotfvfoltbl. Give prob of sequence ovof. 1/1980 Calculate prob of sequence lo when two letters picked without replacement from wooloowwloddlolloll. 49/342 Two letters picked without replacement from {y: 6, n: 13}. Give prob of sequence yn. 13/57 Four letters picked without replacement from {q: 5, r: 1, m: 6, y: 7}. What is prob of sequence yqym? 35/2584 Calculate prob of sequence wt when two letters picked without replacement from wtnctwcnwewtwnnw. 3/40 What is prob of sequence hcd when three letters picked without replacement from {d: 7, c: 3, h: 3}? 21/572 Four letters picked without replacement from {e: 4, j: 7, h: 3}. Give prob of sequence hjjh. 3/286 Three letters picked without replacement from aabbaajjbab. Give prob of sequence jaa. 4/99 Two letters picked without replacement from {c: 8, p: 2}. What is prob of sequence cp? 8/45 Four letters picked without replacement from {x: 3, e: 3}. Give prob of sequence eeex. 1/20 Calculate prob of sequence awa when three letters picked without replacement from haawwppha. 1/42 Two letters picked without replacement from {p: 5, k: 5, e: 1, o: 1, i: 1, j: 4}. What is prob of sequence po? 5/272 Calculate prob of sequence mj when two letters picked without replacement from mpmjjppmjmmpjm. 12/91 What is prob of sequence vkv when three letters picked without replacement from kvkvvvhk? 3/28 Calculate prob of sequence hayg when four letters picked without replacement from {z: 1, a: 1, g: 1, h: 2, b: 1, y: 1}. 1/420 Four letters picked without replacement from {o: 9, z: 5}. Give prob of sequence zzoo. 60/1001 What is prob of sequence jzzj when four letters picked without replacement from jzjzjzzzjzzzzz? 45/1001 Two letters picked without replacement from zxzfzzzzfxzxzx. Give prob of sequence zf. 8/91 Calculate prob of sequence bldl when four letters picked without replacement from lbbklbbfkdl. 1/330 Three letters picked without replacement from fexveegvmffe. Give prob of sequence vmg. 1/660 Three letters picked without replacement from zzzkkzkkzkzkkkkkzzzz. What is prob of sequence zkk? 5/38 Two letters picked without replacement from sssreeessrsessse. Give prob of sequence re. 1/24 Two letters picked without replacement from aswanwttawas. What is prob of sequence tn? 1/66 What is prob of sequence lc when two letters picked without replacement from {l: 3, f: 2, c: 3, a: 10}? 1/34 Calculate prob of sequence xxuu when four letters picked without replacement from uxuuuxxuxuu. 7/110 Four letters picked without replacement from {g: 5, z: 3}. Give prob of sequence gggz. 3/28 Two letters picked without replacement from {q: 1, z: 2, a: 1, g: 1, n: 2}. Give prob of sequence az. 1/21 Three letters picked without replacement from ppvvyvvpvvvpvvvpypv. What is prob of sequence pyv? 22/969 Three letters picked without replacement from {i: 2, q: 1, n: 3, o: 1}. Give prob of sequence nii. 1/35 Three letters picked without replacement from {z: 1, x: 1, g: 18}. What is prob of sequence xzg? 1/380 Three letters picked without replacement from ohodhohhdco. Give prob of sequence ocd. 4/495 Calculate prob of sequence glk when three letters picked without replacement from {k: 1, g: 1, j: 1, l: 10, q: 1}. 5/1092 What is prob of sequence ixt when three letters picked without replacement from ihffhihotoiiihoiihxt? 7/3420 Four letters picked without replacement from aaaaabbaaaa. Give prob of sequence aabb. 1/55 Calculate prob of sequence pap when three letters picked without replacement from {p: 2, a: 4}. 1/15 Three letters picked without replacement from {v: 9}. Give prob of sequence vvv. 1 Calculate prob of sequence nwwm when four letters picked without replacement from ppnlwmnpwppxpxnllwp. 1/5168 Two letters picked without replacement from {a: 9}. What is prob of sequence aa? 1 Calculate prob of sequence vy when two letters picked without replacement from nyyvvvynyvv. 2/11 Four letters picked without replacement from {e: 1, h: 5, k: 2, n: 3, a: 3, w: 1}. Give prob of sequence khak. 1/1092 Four letters picked without replacement from {k: 13, o: 3, n: 2}. Give prob of sequence knko. 13/1020 Two letters picked without replacement from crcxtxp. What is prob of sequence xt? 1/21 What is prob of sequence tee when three letters picked without replacement from etdtdteddeiedtd? 8/455 What is prob of sequence yy when two letters picked without replacement from syybyap? 1/7 Calculate prob of sequence bp when two letters picked without replacement from eppbaaepppebppapppp. 11/171 Calculate prob of sequence ip when two letters picked without replacement from arparaiarese. 1/132 Calculate prob of sequence wu when two letters picked without replacement from sssuwswstsywsasy. 1/80 Four letters picked without replacement from ccxxxcvvccvccxcxxccv. What is prob of sequence vcxx? 10/969 What is prob of sequence aawb when four letters picked without replacement from awbbwawbbbbbwbbabab? 11/1938 Four letters picked without replacement from {o: 9, t: 2, r: 6}. What is prob of sequence rrot? 9/952 What is prob of sequence dmdl when four letters picked without replacement from mldmmlmmmdvmmmmdvv? 1/612 Calculate prob of sequence yuv when three letters picked without replacement from {h: 1, f: 2, p: 1, y: 1, u: 1, v: 1}. 1/210 Calculate prob of sequence dxs when three letters picked without replacement from gtwxdds. 1/105 Calculate prob of sequence snrr when four letters picked without replacement from knrnkkrrkskknsk. 1/910 Calculate prob of sequence llyl when four letters picked without replacement from {q: 1, l: 7, y: 2}. 1/12 Four letters picked without replacement from {b: 6, e: 4, g: 1, s: 4}. What is prob of sequence eesg? 2/1365 What is prob of sequence smk when three letters picked without replacement from {m: 6, k: 7, s: 1}? 1/52 Four letters picked without replacement from iivivivvvvviiviv. Give prob of sequence vivv. 21/260 What is prob of sequence kss when three letters picked without replacement from kskskkkkkskkkksssk? 5/68 Three letters picked without replacement from {d: 3, u: 1, o: 4}. Give prob of sequence dud. 1/56 Four letters picked without replacement from jjwwjjjwjwj. Give prob of sequence wwwj. 7/330 Three letters picked without replacement from tkkktttkkkuukt. What is prob of sequence tuu? 5/1092 What is prob of sequence www when three letters picked without replacement from {e: 8, w: 3}? 1/165 Two letters picked without replacement from {b: 2, l: 1, v: 2, z: 1, j: 1}. What is prob of sequence vv? 1/21 Four letters picked without replacement from {p: 1, o: 7, i: 4, q: 6}. Give prob of sequence iqqq. 1/153 Three letters picked without replacement from exeeexffxxufexueux. Give prob of sequence eef. 5/272 What is prob of sequence gaa when three letters picked without replacement from agab? 1/12 Calculate prob of sequence hxxh when four letters picked without replacement from {e: 8, h: 2, j: 2, u: 2, x: 2}. 1/10920 Four letters picked without replacement from kyyckqccmcccckck. Give prob of sequence qmkk. 1/3640 Calculate prob of sequence uu when two letters picked without replacement from {d: 1, u: 2}. 1/3 Two letters picked without replacement from {s: 1, c: 2, e: 1, q: 1, n: 1, j: 1}. What is prob of sequence qe? 1/42 Four letters picked without replacement from {m: 4, e: 2, w: 1, p: 1, a: 2}. Give prob of sequence meme. 1/210 Calculate prob of sequence zzy when three letters picked without replacement from {z: 14, y: 4}. 91/612 Two letters picked without replacement from {f: 9, m: 5}. Give prob of sequence mf. 45/182 Two letters picked without replacement from hyr. What is prob of sequence hr? 1/6 What is prob of sequence us when two letters picked without replacement from tttpuuwpppwuus? 2/91 Three letters picked without replacement fro
{ "pile_set_name": "DM Mathematics" }
) = -4*k**2 - 2*k - 2*k + 4*k. Let s(c) be the second derivative of -1/12*c**4 + 0 + 0*c**3 - 17*c + 0*c**2. Give s(p(x)). -16*x**4 Let c(q) = -1375*q - 34*q - 78*q. Let l(u) = 2*u. Calculate c(l(v)). -2974*v Let l(u) = u**2 + u + 1. Let n(w) = 5*w + 0*w - 6 + 3*w - 14*w. Let q(g) = -6*l(g) - n(g). Let i(c) = c**2. Calculate q(i(m)). -6*m**4 Let c(w) = 8*w. Let o(m) = -63*m + 4. Let f(l) = -2002*l + 130. Let b(n) = -4*f(n) + 130*o(n). What is c(b(i))? -1456*i Let c(d) = d**2. Let m(a) = -16567347*a**2. Calculate m(c(j)). -16567347*j**4 Let g(y) be the first derivative of -5*y**2/2 + 826. Let f(l) = 441*l. Give f(g(u)). -2205*u Suppose 17*x - 56 = -22. Let a(b) = 4*b + 46*b**x - 12*b + 3*b + 6*b + 2*b**2. Let h(l) = 2*l**2. What is a(h(r))? 192*r**4 + 2*r**2 Let h(y) = -45*y - 29*y + 167*y + 4 - 40*y - 45*y + 0. Let f(m) = 1. Let k(b) = b + 1. Let z(s) = f(s) - k(s). Give h(z(j)). -8*j + 4 Let c(s) = -49*s**3 + 10*s + 11. Let y be c(-3). Let w(b) = 658*b - y*b + 650*b. Let r(z) = -3*z + 2*z - 3*z. Give r(w(m)). -16*m Let d(r) = 10*r - 5003. Let y(f) = -35*f**2 + f. Determine d(y(b)). -350*b**2 + 10*b - 5003 Let p(j) be the second derivative of j**7/70 - 13*j**4/4 - 6*j. Let s(d) be the third derivative of p(d). Let x(h) = -2*h**2. Determine x(s(l)). -2592*l**4 Let z(q) = -14*q**2 - 59. Let b(j) = 17*j - 124. Let w(k) = -19*k + 155. Let u(m) = -5*b(m) - 4*w(m). Calculate u(z(l)). 126*l**2 + 531 Let j(f) = -1219935*f**2. Let c(q) = -3*q. Determine c(j(r)). 3659805*r**2 Let t(o) = -28*o. Let w(f) = -41*f + 15. Let s(j) = 539*j - 198. Let n(v) = -5*s(v) - 66*w(v). What is n(t(l))? -308*l Let h(q) be the third derivative of 7*q**2 + 0 + 0*q**4 + 0*q**3 + 0*q - 1/12*q**5. Let p(g) = 54*g + 57*g - 114*g. Give h(p(m)). -45*m**2 Let u(m) = -5301*m**2 + m. Let f(k) = 1157*k. What is f(u(w))? -6133257*w**2 + 1157*w Let h(t) = -5*t. Let w(q) = q**2 - 8*q + 9. Let s be w(7). Let a(j) = -s*j + 3990 - 3990. What is h(a(d))? 10*d Let o(t) = -9*t. Let f(n) be the first derivative of n**2 + 40*n - 478. Calculate f(o(j)). -18*j + 40 Let h(u) = 11*u - 166. Let o be h(16). Let m(j) = -o*j**2 + 0 + 8*j**2 - 2 + 2. Let b(l) = l + 1. Let t(q) = 10. Let s(n) = -10*b(n) + t(n). Calculate m(s(a)). -200*a**2 Let l(b) = -2590*b**2 + 857*b. Let m(y) = 18*y**2. What is l(m(p))? -839160*p**4 + 15426*p**2 Let g(h) be the third derivative of -51*h**4/4 - h**3/6 - 17964*h**2 - 2*h + 5. Let w(t) = 3*t + 2*t - 3*t. Determine g(w(u)). -612*u - 1 Let g(b) be the second derivative of b**4/2 + b. Suppose -3*t = -2*l + 42 - 260, 12 = -3*l. Let u(c) = -73*c**2 + 136*c**2 - t*c**2. Determine g(u(w)). 294*w**4 Let f(k) = 3660420*k**2 - k. Let i(r) = 28*r**2. Calculate f(i(p)). 2869769280*p**4 - 28*p**2 Let r(d) = -342*d**2. Let j(z) be the first derivative of 0*z - 111 + 1/2*z**2. What is j(r(f))? -342*f**2 Let r(k) = -194*k. Let w(c) = 1038330*c. Calculate w(r(u)). -201436020*u Let r(t) = t. Let u(w) be the second derivative of -459*w**4/4 + 3*w + 1209. What is r(u(f))? -1377*f**2 Let y(l) = 2*l**2. Let k(q) = -1222*q**2 + 61814*q - 61814*q. What is y(k(v))? 2986568*v**4 Let y(m) = -2962*m**3 - 24*m - 49. Let c be y(-2). Let v(l) = c - 23695 - l. Let h(d) = 51*d. Calculate v(h(o)). -51*o Let u(o) = -1256507*o**2. Let m(k) = -72*k**2. Determine m(u(t)). -113674308555528*t**4 Let s(r) = 8*r. Let g(k) be the first derivative of 13*k**5/60 + 11*k**2/2 - 3*k + 48. Let b(w) be the second derivative of g(w). Calculate s(b(m)). 104*m**2 Let l(o) = -o. Suppose -675 = 7*w - 2334. Let z(y) = -474 + w - 10*y - 10*y**2 + 237. Give l(z(b)). 10*b**2 + 10*b Let s(c) = -1167*c**2. Let t(q) = 74499*q**2. Give s(t(b)). -6476967868167*b**4 Let k(c) = -1 - 373*c + 1100*c - 363*c + 1 - 361*c. Let u(s) be the second derivative of -91*s**4/12 - 2*s. Determine u(k(d)). -819*d**2 Let n(s) = -59 + 26*s + 0*s + 59. Let k(d) = -d**2 - 14*d - 30. Let m be k(-11). Let a(y) = -3*y + 2*y - m*y + 2*y. Calculate a(n(g)). -52*g Let a(p) = 661*p - 327*p - 335*p. Let v(j) = -1639*j**2. Calculate a(v(h)). 1639*h**2 Suppose -8 = -12*j + 16. Let c(p) = -19*p**2 + 44*p**2 - 27*p**j. Let t(x) = 177*x. Give c(t(a)). -62658*a**2 Let h(v) = 2*v. Let x(c) = -83447217*c + 3. What is x(h(l))? -166894434*l + 3 Let v(b) = 2*b. Let w(o) = 21*o**2 + 2*o - 33. Let f(l) = -16*l**2 - l + 24. Let d(x) = 11*f(x) + 8*w(x). Calculate d(v(u)). -32*u**2 + 10*u Let f(y) = -4*y. Let n(r) = 2016*r**2 - 160. Let g(u) = -38*u**2 + 3. Let v = 499 + -496. Let z(b) = v*n(b) + 160*g(b). What is z(f(t))? -512*t**2 Let w(j) = -j. Let g(s) = -10*s**2 + 22*s - 1636. Let o(r) = 54*r**2 - 121*r + 8181. Let n(t) = 11*g(t) + 2*o(t). Determine w(n(h)). 2*h**2 + 1634 Let s(f) = 22 - 22 + f**2 - 3*f**2. Let y(p) be the first derivative of p**3/3 + 4*p - 1. Calculate s(y(r)). -2*r**4 - 16*r**2 - 32 Let s(b) = -94819442*b**2. Let w(v) = -6*v. What is s(w(u))? -3413499912*u**2 Let m(d) = 24*d**2 - 3*d. Let q(t) = 201413*t. Determine m(q(p)). 973612717656*p**2 - 604239*p Let i(f) be the first derivative of -f**2 - 2811. Let g(l) = -2*l - 931. What is g(i(w))? 4*w - 931 Let z = 131 + -127. Let h(d) = 102*d - 21. Let j(v) = 20*v - 4. Let q(s) = z*h(s) - 21*j(s). Let x(k) = -20*k**2 - 5*k + 15*k**2 + 5*k. Determine x(q(i)). -720*i**2 Let f(z) = -3*z. Let x(h) = -55*h + 1. Let b(r) = -219*r - 364. Let c(p) = b(p) - 4*x(p). What is c(f(k))? -3*k - 368 Let f(a) be the third derivative of -a**5/60 + 3*a**4/2 - 36*a**2. Let t(u) be the first derivative of -u**2/2 - 69. Give t(f(l)). l**2 - 36*l Let h(y) = 50*y**2 - 201*y**2 + 50*y**2 + 50*y**2 + 48*y**2. Let p(g) = -381*g + 1. What is p(h(x))? 1143*x**2 + 1 Let v(t) = 711*t. Let q(k) = -436*k**2 - 525. Give q(v(n)). -220407156*n**2 - 525 Let c = -33 + 65. Let l(d) = -28*d + 1 + c*d - 1. Let y(q) = 16*q**2. Let r(o) = -3*o**2. Let x(h) = -24*r(h) - 5*y(h). Calculate x(l(g)). -128*g**2 Let i(c) be the second derivative of c**7/420 - c**4/12 - 2*c + 3. Let g(y) be the third derivative of i(y). Let s(h) = -6*h. Calculate s(g(f)). -36*f**2 Let o(y) = -82*y. Let t(a) = -7*a**2 + 19*a - 42. Let h(i) = -i**2 + 4*i - 7. Let n(r) = 6*h(r) - t(r). What is o(n(c))? -82*c**2 - 410*c Let t(o) = -879*o + 1. Let j(a) = 4*a**2 + 3*a - 15. Let q(y) = -2*y**2 - y + 5. Let s(p) = j(p) + 3*q(p). Calculate s(t(l)). -1545282*l**2 + 3516*l - 2 Let p(z) = -4*z. Let m(c) = -4*c**2 + 9*c - 9. Let f(y) = y**2 - 2*y + 2. Let j(g) = g**2 + 2*g + 10. Let v be j(-4). Let a(x) = v*f(x) + 4*m(x). Give p(a(k)). -8*k**2 Let l(q) = 844*q**2. Let f(x) = 346*x. Calculate f(l(m)). 292024*m**2 Let f(d) = -114629*d**2 + 21. Let c(r) = 3*r. What is c(f(h))? -343887*h**2 + 63 Let p(x) = 473078387*x. Let y(s) = 3*s**2. Determine y(p(b)). 671409480739565307*b**2 Let b(n) = 3*n**2 - 4*n. Let j(s) = 13*s + 23*s - 37*s. What is j(b(x))? -3*x**2 + 4*x Let x(w) = -64*w**2. Let u(y) = -11*y + 21. Let g(q) = 12 - 22*q - 20*q + 36*q. Let b(m) = -7*g(m) + 4*u(m). What is b(x(s))? 128*s**2 Let n(a) = -a**2. Let l(u) = -1518*u - 5. Give l(n(b)). 1518*b**2 - 5 Let x(p) = 8514*p. Let o(i) = 2624*i**2 + 6*i. Calculate x(o(q)). 22340736*q**2 + 51084*q Let s(t) = t - 219129. Let a(n) = 17*n. What is a(s(j))? 17*j - 3725193 Let u(f) be the third derivative of -5*f**4/24 - 2561*f**2 - 3*f. Let o(n) = -646*n. Give u(o(k)). 3230*k Let r(u) = -304*u - 416*u + 1160*u - 174*u. Let n(i) = i**2. Determine r(n(h)). 266*h**2 Let f(s) = -1346*s - 585. Let u(k) = -9*k. Give u(f(c)). 12114*c + 5265 Let m(l) be the second derivative of 0*l**3 - 11/12*l**4 + 0*l**2 + 0 - 90*l. Let c(y) = -y. Give c(m(s)). 11*s**2 Let a(z) be the second derivative of -z**3/2 + 12*z. Let m(v) = -19*v - 63. Let j(u) = -9*u - 28. Let w(f) = 9*j(f) - 4*m(f). What is w(a(h))? 15*h Let g(u) = -u. Let w(n) = -2*n**2 + 15*n + 17. Let v be w(-1). Let b(a) be the second derivative of 0*a**3 + 31*a + 23/12*a**4 + 1/2*a**2 + v. What is g(b(m))? -23*m**2 - 1 Let q(z) = 5049*z + 2. Let t(a) = -314*a - 9. What is q(t(w))? -1585386*w - 45439 Let l(s) = 10*s + 324. Let n(y) = 4*y - 1. Let j(d) = l(d) - 3*n(d). Let w(z) = -z. Calculate w(j(t)). 2*t - 327 Let h(w) be the second derivative of 4*w**3/3 - 68*w - 1. Let y(g) = -9*g**2 + 11*g**2 - 4*g**2. Give h(y(k)). -16*k**2 Let v(x) = 3*x. Let h be (1 - 0)/((-32)/(-64)). Let y(u) = 10803*
{ "pile_set_name": "DM Mathematics" }
8. 43730 72 (base 8) to base 14 42 What is -12521 (base 6) in base 7? -5413 872 (base 11) to base 4 100113 -11712 (base 8) to base 16 -13ca 20000 (base 3) to base 6 430 What is -2322 (base 5) in base 3? -110111 What is 2304 (base 5) in base 13? 1c4 What is -500e (base 16) in base 5? -1123434 -313 (base 9) to base 4 -3333 What is -11100 (base 4) in base 8? -520 1341 (base 11) to base 7 5033 What is -11431 (base 5) in base 14? -45c Convert 52 (base 14) to base 10. 72 Convert 13a (base 16) to base 11. 266 Convert -133313 (base 4) to base 12. -121b 1114 (base 9) to base 6 3451 What is -2 (base 12) in base 15? -2 What is -29303 (base 12) in base 10? -57459 Convert -216 (base 8) to base 12. -ba What is -285 (base 12) in base 16? -185 What is -46510 (base 7) in base 2? -10111010001010 What is -1032 (base 12) in base 14? -902 -127266 (base 8) to base 16 -aeb6 What is -332 (base 9) in base 13? -17c Convert 3486 (base 11) to base 15. 154b Convert -134322 (base 8) to base 15. -e044 2004 (base 14) to base 6 41232 Convert c9d (base 14) to base 16. 9bb Convert -31313003 (base 4) to base 3. -2212212122 48e (base 15) to base 14 53c -23310 (base 9) to base 3 -210100100 What is 73050 (base 8) in base 11? 207a9 What is 204332 (base 5) in base 13? 3164 -514 (base 16) to base 13 -790 What is -10330 (base 5) in base 6? -3151 What is 210112 (base 5) in base 6? 51551 -26d4 (base 15) to base 9 -12341 683 (base 9) to base 4 20301 -15133 (base 10) to base 5 -441013 -10300102 (base 4) to base 3 -222201021 Convert -1b1 (base 14) to base 7. -1011 What is -210 (base 3) in base 2? -10101 What is 2132 (base 9) in base 2? 11000100000 What is -11111100 (base 2) in base 13? -165 84 (base 10) to base 13 66 493 (base 14) to base 15 40d 1201322 (base 4) to base 11 4787 What is -213213 (base 6) in base 4? -10102221 2051 (base 7) to base 9 882 -3351 (base 6) to base 4 -30103 What is -240641 (base 8) in base 4? -110012201 Convert 2a95 (base 14) to base 5. 220304 523 (base 9) to base 14 226 Convert 1b3 (base 14) to base 8. 541 What is 12549 (base 13) in base 3? 1201110010 What is -3857 (base 13) in base 6? -101035 1a680 (base 11) to base 2 111000001011101 Convert -1534 (base 9) to base 16. -48d What is 301a (base 11) in base 3? 12111200 7b21 (base 16) to base 7 160620 What is -2b3b (base 12) in base 3? -20222102 3616 (base 12) to base 10 6066 -172602 (base 8) to base 7 -351144 What is -251a (base 13) in base 10? -5262 What is -743 (base 13) in base 11? -a26 Convert 11100000101111 (base 2) to base 6. 150331 29a19 (base 11) to base 3 2011021202 102121002 (base 3) to base 12 4a85 -251 (base 9) to base 6 -544 101011111111 (base 2) to base 12 1767 Convert -112154 (base 6) to base 7. -36625 What is -2330 (base 5) in base 13? -202 What is 2020033 (base 4) in base 14? 326b What is 61602 (base 8) in base 16? 6382 What is -22215 (base 8) in base 15? -2b8c 768b (base 14) to base 7 113534 -4289 (base 10) to base 8 -10301 Convert -221003 (base 5) to base 3. -101110112 What is 1210 (base 6) in base 13? 198 Convert 2031101 (base 4) to base 13. 4166 Convert 366 (base 8) to base 16. f6 What is -328 (base 9) in base 10? -269 What is 102010 (base 3) in base 7? 606 What is -708 (base 12) in base 6? -4412 -406 (base 7) to base 8 -312 What is 100000 (base 4) in base 7? 2662 Convert -10011101110 (base 2) to base 10. -1262 What is 9a65 (base 12) in base 11? 11908 3 (base 12) to base 6 3 Convert -11b5 (base 13) to base 7. -10221 What is 6b6 (base 14) in base 11? 1005 What is 5034 (base 7) in base 3? 2101110 What is -2487 (base 9) in base 14? -96d What is -3512 (base 7) in base 16? -503 What is 1500 (base 12) in base 4? 212100 What is a13 (base 15) in base 7? 6420 -18004 (base 9) to base 6 -133221 What is 11235 (base 9) in base 12? 43b8 10112102022 (base 3) to base 12 34308 What is -340 (base 14) in base 9? -785 What is -2700 (base 15) in base 6? -102313 What is 824b (base 16) in base 7? 166150 Convert -1031012 (base 4) to base 11. -3786 Convert -21220 (base 4) to base 16. -268 a3a (base 12) to base 10 1486 What is 9f (base 16) in base 15? a9 What is 11896 (base 11) in base 14? 62d7 Convert -28dd (base 16) to base 15. -3176 4cc6 (base 13) to base 3 120001121 What is 7502 (base 11) in base 6? 113540 Convert -28638 (base 10) to base 9. -43250 Convert 1571 (base 11) to base 6. 13154 -21bc (base 16) to base 13 -3c14 -9429 (base 11) to base 8 -30316 15050 (base 8) to base 14 2624 What is -21ba (base 12) in base 7? -13624 Convert 13d (base 16) to base 4. 10331 3772 (base 9) to base 14 1055 -13215 (base 8) to base 5 -141043 -1001110111010110 (base 2) to base 15 -be8b What is -233412 (base 6) in base 11? -14230 827 (base 10) to base 13 4b8 What is 22a3 (base 13) in base 3? 20200012 What is -43b7 (base 13) in base 10? -9445 Convert 79 (base 10) to base 14. 59 What is 240210 (base 7) in base 15? cc83 -903 (base 12) to base 8 -2423 Convert 23239 (base 10) to base 15. 6d44 What is 12030 (base 4) in base 5? 3041 b3c (base 13) to base 2 11101110110 -42643 (base 7) to base 4 -2211313 Convert -720 (base 9) to base 7. -1464 What is -22212001 (base 3) in base 13? -2c26 Convert 20022220 (base 4) to base 14. c292 -12215 (base 7) to base 3 -11101102 What is -6221 (base 7) in base 5? -32141 -10313 (base 4) to base 5 -2221 302113 (base 4) to base 9 4371 What is 4114 (base 6) in base 2? 1110001110 -301040 (base 6) to base 4 -11300100 Convert 113332 (base 5) to base 14. 1773 Convert -123330 (base 4) to base 14. -91a What is -1213b (base 12) in base 3? -1020110002 211002 (base 4) to base 2 100101000010 What is -4dd (base 16) in base 5? -14440 What is -22100 (base 9) in base 5? -432121 Convert 291 (base 16) to base 3. 220100 Convert -20a9 (base 12) to base 10. -3585 What is 118 (base 12) in base 13? c8 103a0 (base 11) to base 12 88b6 Convert 10c8 (base 16) to base 4. 1003020 30000 (base 8) to base 11 9261 What is 3a8 (base 13) in base 9? 786 Convert 293 (base 14) to base 9. 638 355 (base 10) to base 16 163 Convert 505d (base 16) to base 15. 6168 Convert -1224 (base 5) to base 2. -10111101 What is 241531 (base 6) in base 16? 529f -1101021022 (base 3) to base 13 -c4a0 Convert 3a0 (base 14) to base 11. 602 Convert -110011100010000 (base 2) to base 4. -12130100 What is 10110211 (base 3) in base 16? 9e5 What is 3482 (base 9) in base 11? 1a40 Convert 36202 (base 7) to base 2. 10010010010001 Convert -1323321 (base 4) to base 14. -2c65 18976 (base 14) to base 16 f31c 6336 (base 10) to base 5 200321 122211 (base 4) to base 9 2300 What is 1325 (base 6) in base 8? 525 1211121 (base 4) to base 2 1100101011001 What is -10100011111111010 (base 2) in base 3? -11021011201 What is 126 (base 15) in base 12? 199 What is -55261 (base 8) in base 15? -6d2c 2153 (base 10) to base 6 13545 1154 (base 6) to base 12 1ba What is -225bb (base 12) in base 14? -1298b What is -110000100011111 (base 2) in base 7? -132326 -10343 (base 5) to base 6 -3203 Convert 30231 (base 4) to base 9. 1103 Convert 111110110001 (base 2) to base 9. 5453 What is -3210 (base 8) in base 3? -2021221 What is bbd (base 16) in base 10? 3005 Convert -4130 (base 5) to base 9. -660 Convert -20214 (base 6) to base 9. -3601 Convert -17342 (base 9) to base 6. -131145 Convert -529 (base 12) to base 2. -1011110001 What is 52 (base 12) in base 3? 2022 -1011001000 (base 2) to base 10 -712 What is -2213111 (base 4) in base 3? -112200122 -4de (base 16) to base 7 -3430 Convert 9e90 (base 16) to base 10. 40592 What is -2952 (base 12) in base 15? -165e Convert 121000 (base 3) to base 13. 273 Convert -1103221 (base 4) to base 16. -14e9 -4bb (base 15) to base 10 -1076 53116 (base 10) to base 6 1045524 What is bbc (base 13) in base 5? 31024 Convert -15a3 (base 12) to base 3. -10112020 What is -31133 (base 4) in base 13? -515 What is -db9 (base 15) in base 6? -22203 Convert -717 (base 9) to base 7. -1462 Convert 65355 (base 8) to base 14. 9d93 Convert 2211011 (base 3) to base 6. 13304 What is -4969 (base 11) in base 15? -1dc8 10010302 (base 4) to base 9 24804 Convert 241 (base 10) to base 2. 11110001 What is 684 (base 13) in base 2? 10001100010 -133151 (base 8) to base 6 -1000105 -2b1 (base 12) to base 4 -12211 What is 34 (base 7) in base 8? 31 Convert 1409 (base 16) to base 7. 20645 What is 5673 (base 8) in
{ "pile_set_name": "DM Mathematics" }
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number? True Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number? True Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number? False Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite? False Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number? True Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime? True Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number? True Let p = 410 + -227. Is p prime? False Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime? False Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number? True Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime? True Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime? True Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number? True Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime? False Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number? True Let b(t) = -81*t + 16. Is b(-7) a composite number? True Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number? False Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime? True Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite? False Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime? False Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite? False Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number? False Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number? True Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite? False Let i = -26 - -146. Is (2 - (2 + -1)) + i composite? True Let q = -31 + 384. Is q a prime number? True Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime? True Suppose -2*h + 877 = -477. Is h a prime number? True Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number? False Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite? False Suppose -2095 = -3*v - 94. Is v a composite number? True Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number? False Suppose -4*w = -w - 1749. Is w a composite number? True Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number? True Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number? True Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number? False Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number? True Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number? False Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number? True Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime? True Let j(a) = -17*a + 4. Is j(-7) a composite number? True Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite? True Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime? False Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite? True Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime? True Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite? False Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number? True Suppose u - 609 = -128. Is u a prime number? False Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number? True Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite? True Let n = 10 - -34. Let r = 81 - n. Is r composite? False Let c = 135 - -312. Is c composite? True Suppose 6 = -q - 4*y, 5*y = -2*q + 2*y - 2. Let v(b) = 5*b + 1. Let m be v(q). Is m - (1 + 1 + -1) prime? False Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number? False Let z = 258 + 593. Is z a prime number? False Let f = 5 - 1. Is f/(-6)*(-2346)/4 a prime number? False Let r = 8266 - 5369. Is r composite? False Let z = 6338 - -1655. Is z composite? False Is 1425 + (-11)/(33/6) a prime number? True Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)/(-6) - (-147 + s) a prime number? True Let r be (-1 - (-5)/(-2))*-40. Suppose r = 2*y - 974. Is y a composite number? False Let o = 8 - 5. Suppose -4*a - 12 = 2*m + m, 0 = o*a. Is 1/(-2) - 86/m prime? False Let p be (-3)/(12/(-8)) - -3. Suppose h + 456 = 4*m - 21, -p*m = -5*h - 600. Is m a composite number? True Let u(b) = -b**2 + 5*b - 3. Let k be u(4). Suppose 2*h + k = 3*h. Is (-3*h)/(2 - 3) composite? False Let r = -76 + 141. Suppose 5*g = 110 + r. Is g composite? True Let g(i) = i**2 - 12*i + 13. Let f be g(11). Suppose -f*w + 227 = 3*p, 2*p - 5*w + 2*w = 160. Is p prime? False Let a(c) = c**3 + 12*c**2 + 12*c + 16. Let t be a(-11). Is 2 + 1*t/1 prime? True Suppose 0 = p + 4*p. Suppose 2*n - 2*z - 2 = p, 7*n - 2*n + 13 = -z. Let v(g) = -8*g**3 - g**2 + 3*g + 1. Is v(n) a prime number? False Suppose -4*w - 5 + 32 = -3*y, -2*y + 2*w = 16. Let b be -22*(6/(-4) + 2). Is b*(0 + (y - -2)) prime? False Let g(f) be the second derivative of f**4/12 + f**3/6 + 17*f**2/2 + 2*f. Let h(s) = -3*s**2 - 3*s - 50. Let y(v) = -11*g(v) - 4*h(v). Is y(0) prime? True Let i(y) = -2*y + 1. Let l be i(-2). Suppose 31 = l*n - 119. Suppose -5*g + 2*g = -n. Is g composite? True Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number? True Suppose 5*w + 4*n - 403 = 0, -3*w + 2*n + 243 = 4*n. Is w composite? False Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225/21 + (-4)/d a prime number? True Let x = 1827 + -940. Is x composite? False Suppose g - 63 - 146 = 0. Is g composite? True Let r be (-7)/((-21)/60) + 2. Let c be 15/(-4) - (-9)/12. Let u = c + r. Is u a prime number? True Let p(m) = -6*m**2 - m - 1. Let r(k) = 12*k**2 + 3*k + 2. Let c(o) = -5*p(o) - 2*r(o). Is c(-6) prime? True Let g = 88 - 51. Is g composite? False Let b = -41 + 60. Let a = -12 + b. Is a prime? True Let i(a) be the first derivative of -a**4/4 + 8*a**3/3 - a**2/2 + 3*a + 2. Is i(6) composite? True Let j be 29/2 + (-1)/2. Let g(n) = n**2 - 2*n + 1. Let i be g(3). Let u = j - i. Is u composite? True Suppose -r = -5*a + 9, -5*r = 2*a - r - 8. Suppose a*y - 13 = 15. Is y a prime number? False Suppose 0 = 3*p - 2*p - 188. Let t(x) = 5*x**2 - 2*x + 1. Let a be t(-2). Let j = p - a. Is j prime? True Suppose -4*n + 3*j + 2963 = 0, -6 = -2*j - 0. Is n prime? True Let l(q) = -58*q - 3. Is l(-2) a prime number? True Suppose 2*l - t = 3697 - 1419, 0 = -2*l - t + 2270. Is l prime? False Let l be (-83)/((-9)/(-5) - 2). Suppose 0*g = -5*g + l. Is g a prime number? True Let x be (-6)/(((-2)/(-106))/1). Is (x/(-8))/(2/8) a composite number? True Let z be -1 + (1241 - 1) - -1. Let m(h) = h**2 + 10*h + 17. Let s be m(-9). Suppose 4*v + 3*j - z = 0, j = 3*j - s. Is v a prime number? True Let m = 409 - -78. Is m a composite number? False Let c(i) = 61*i**2 - 7*i - 13. Is c(-4) composite? False Suppose 3*m = -m. Suppose 5*h - 115 = -m*h. Is h prime? True Let d(f) = f**2 + 9*f + 5. Let t be d(-9). Suppose -3*q - 218 = -4*p, -4*p + 220 = -t*q + q. Is p a prime number? True Suppose 6*b + 4 = 2*b. Let c(m) = -m**2 - 3*m + 3. Let s be c(-4). Is ((-2 - s) + -48)/b a prime number? False Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number? True Suppose 5*g = 5*n + 15, 0*g + 3
{ "pile_set_name": "DM Mathematics" }
*p**2 + 3*p + 39. Calculate the remainder when m(c) is divided by 7. 4 Let r(o) = 14*o - 177. Calculate the remainder when r(16) is divided by 12. 11 Calculate the remainder when (6/24)/(1/104) is divided by 21. 5 Suppose 9*v + 10 = 4*v. Let t(n) be the second derivative of n**4/3 - 5*n**3/6 - n**2 + 2*n. What is the remainder when t(v) is divided by 13? 11 Let a(f) = 10 + 9*f - 14*f + 6*f. Suppose 28 = 4*c - 0*c - 5*o, -c - 18 = 5*o. What is the remainder when a(-6) is divided by c? 0 Suppose -4*y + p = 12 - 30, -3*p + 1 = -y. Suppose 147 = -0*j + 7*j. What is the remainder when j is divided by 2/(-1) - (y + -13)? 3 Suppose -2*a = 4*u + 10 - 28, -4*u = 5*a - 21. Let n be a + -1 + -1 - -1. Calculate the remainder when 87 is divided by (1 + n)/(4/88). 21 Suppose -66*o + 56*o = -1290. Calculate the remainder when 500 is divided by o. 113 Suppose -24*n + 780 = 2*n. Let s(l) = l**3 + 3*l**2 - 3*l + 3. What is the remainder when n is divided by s(-3)? 6 Suppose 0 = 4*n + 5*p - 67, -4*n - 29 = 2*p - 111. What is the remainder when 344 is divided by n? 22 Let r(s) = -s**2 - 21*s - 3. Calculate the remainder when 30 is divided by r(-20). 13 Suppose 93*c - 91*c = -36. Let n = c - -83. Calculate the remainder when n is divided by 19. 8 Let g = -15 + -7. Let u = 100 + -61. Let z = g + u. Calculate the remainder when 49 is divided by z. 15 Suppose -5*j = -15, -2*j + 63 + 75 = 3*v. What is the remainder when 300 is divided by v? 36 Calculate the remainder when 173 is divided by (-1*1 + 47)*(58 - 57). 35 What is the remainder when 16 is divided by (-299)/184*(33/(-3) + 3)? 3 Let s(u) be the first derivative of u**4/2 + u**3 - u**2/2 - 7*u + 4. What is the remainder when s(3) is divided by 37? 34 Let o(g) = g**2 + 7*g + 22. What is the remainder when 36 is divided by o(-6)? 4 What is the remainder when 21 is divided by (10 + -3)*(-40)/(-35)? 5 Suppose 3175*l = 3188*l - 143. Let b(w) = 2*w - 3. Calculate the remainder when l is divided by b(3). 2 Let s be (-5)/5 + 1*-16. Let j = 15 + s. Calculate the remainder when 7 is divided by 32/(-20)*5/j. 3 Let h(a) = a**3 - 2*a**2 - 17*a + 21. Suppose -2*l + 54 = y + 3*y, -y + 39 = 2*l. Calculate the remainder when h(6) is divided by l. 12 Let g(a) = a**3 + 6*a**2 - 5*a + 4. Suppose -10*i + 1344 = 5*b - 7*i, 0 = b + 3*i - 276. What is the remainder when b is divided by g(-5)? 51 Let n = 31 - 17. Let u(o) = 5*o**2 + 3. Let k be u(6). Let y = k + -115. Calculate the remainder when y is divided by n. 12 Let t(k) = -25*k**3 - 3 + 4*k - 10*k**2 - 4 + 24*k**3. Let l be t(-11). Let j = -31 + l. What is the remainder when j is divided by 14? 11 Suppose -4*k + 933 = 3*t, -7*t - 3*k = -11*t + 1219. What is the remainder when t is divided by 77? 76 Let o = -18 + 46. What is the remainder when 95 is divided by o? 11 Suppose -5*k - 65 = 3*y + 104, 4*k = 2*y + 76. Let p = 84 + y. Calculate the remainder when (8 - p)/((-2)/4) is divided by 19. 18 Let b(v) = -30*v - 49. Let d(l) = -20*l - 33. Let q(w) = -5*b(w) + 8*d(w). Suppose 3*c + 4*c = -42. Calculate the remainder when q(c) is divided by 11. 8 Let t = 63 - 20. Let q(b) = b**3 + 17*b**2 + 9*b + 12. What is the remainder when q(-16) is divided by t? 38 What is the remainder when 9/(-9 + 9144/1014) is divided by 10? 7 Suppose m - 535 - 99 = 0. Suppose 15*t + 918 = 49*t. Calculate the remainder when m/6 - 3/(-9) is divided by t. 25 Suppose 0 = -4837*b + 4829*b + 208. What is the remainder when 519 is divided by b? 25 Let a be (12/7)/((-4)/(-14)). Suppose 3*t = a*t - 3, 2*p = -4*t + 24. Calculate the remainder when 37 is divided by p. 7 Suppose 2*x + 5 + 3 = 0. Let h = 19 - 2. What is the remainder when h is divided by (-9)/(-1 + 2/x)? 5 Suppose q = -4 + 1. Let c(p) = 3*p**2 + 5*p + 2. Let m(z) = 4*z + 165. What is the remainder when m(-35) is divided by c(q)? 11 Let q be (-30)/25*(-10)/4. What is the remainder when (-18)/(-6 - (-85)/15) is divided by q/(9/42) - 0? 12 Suppose n - 18 = -5*r + 33, 5*r = -2*n + 52. Calculate the remainder when 39 is divided by r. 9 Let w(x) = -3*x - 49. Let q(j) = -7*j - 99. Let a(b) = 2*q(b) - 5*w(b). Let d(u) = 2*u**2 - u - 3. Calculate the remainder when a(12) is divided by d(3). 11 What is the remainder when 302 is divided by (12/10)/((-2)/(-85))? 47 Let t(d) = 5*d**3 - 2*d - 1. Let l be t(-1). Suppose 4*n + 8941 = 8993. Calculate the remainder when (-183)/l - 4/(-16) is divided by n. 7 Suppose -18*z = -730 - 728. Calculate the remainder when 221 is divided by z. 59 Let r = -88 + 128. Suppose o + t - r = 0, -13 = 3*o - t - 129. Let u(z) = z**3 - 7*z**2 + 2*z - 3. What is the remainder when o is divided by u(7)? 6 Let k be (2/4)/((-4)/(-240)). Calculate the remainder when -4 - (-6)/(k/175) is divided by 16. 15 Let v(d) = 2*d + 2. Let t be 140/44 - 4/22. Let n = 61 + -46. What is the remainder when n is divided by v(t)? 7 What is the remainder when 41396/474*18/4 is divided by 57? 51 Let k(f) be the first derivative of 3*f**2/2 + 3*f + 1. Let r = 397 - 392. Calculate the remainder when k(7) is divided by r. 4 Let z(w) = 7*w + 5. Let q(t) = -t - 1. Let v(m) = 4*q(m) + z(m). Suppose 2*u - 67 = 9. What is the remainder when u is divided by v(4)? 12 Let l be 3*5/(-45)*-33. Calculate the remainder when 86 is divided by 0 - (-21 + -1) - (l - 13). 14 Let z(q) = -q**2 + 39*q - 30. Let d be z(27). Let p = 344 - d. Let g(a) = a**2 + 17. Calculate the remainder when p is divided by g(0). 16 Suppose -6*d + 14*d = 200. Let n = 46 - d. What is the remainder when 40 is divided by n? 19 Suppose -5*y = -5*s + 565, -39*y = 3*s - 35*y - 325. What is the remainder when s is divided by 48? 15 What is the remainder when 109 is divided by (12 + (-296)/28)/(2/28)? 9 Let t = -2 - -4. Suppose -y + 141 = t*y. Let l = y + -8. What is the remainder when l is divided by 10? 9 Suppose 0*q + 90 = -5*q. Let s = 14 + -9. What is the remainder when (-202)/q + 2/(-9) is divided by s? 1 Suppose 89 - 275 = 2*g + 5*b, -8 = 2*b. Let w = -78 - g. Calculate the remainder when 27 is divided by w. 2 Suppose 2*p = -3*p. Suppose -5*a + 6 = -3*h, p = h - 6*h + 15. Suppose -103 = -5*g - a*s, -4*g - 4*s + s + 80 = 0. What is the remainder when g is divided by 6? 5 Suppose -16*w + 6*w = -2650. Calculate the remainder when w is divided by 91. 83 Calculate the remainder when 408/32*(8 - 4) is divided by 40. 11 Let q be -16*(-15)/(-10)*(-2)/1. Suppose -37*k + q = -34*k. What is the remainder when 45 is divided by k? 13 Suppose 5*n + 62 = 272. Suppose -6*h + 3*h = -n. Suppose r + 1 - 5 = 0. What is the remainder when h is divided by r? 2 Let f(t) = 3*t**2 + 42. Calculate the remainder when f(-9) is divided by 41. 39 Suppose -5*z + 2*j = -33, 0 = 2*z - 5*j + 5 - 14. Calculate the remainder when 27 is divided by z. 6 Let s(z) be the second derivative of z**4/6 + z**3/2 - 4*z**2 + 8*z - 7. Let b = -2 - 2. What is the remainder when 46 is divided by s(b)? 10 Suppose 0 = -0*d + 3*d + 4*t - 14, -4*t = -3*d - 26. Let n be (9/d)/(2/(-20)). Calculate the remainder when (n/(-25))/((-2)/10) is divided by 6. 3 Let g = 1550 + -1532. What is the remainder when 104 is divided by g? 14 Let q(n) = -21*n**3 - 2*n**2 + 3*n + 3. Let l be q(-2). Let b = -96 + l. Let h(o) = 5*o - 19. Calculate the remainder when b is divided by h(8). 19 Let p = 70 - 66. Suppose 4*r - 4 = -3*c + 8*r, 0 = -r - 1. Suppose f - 1 = c, -4*v + 6 = -2*f - 0*f. What is the remainder when p is divided by v? 0 Let y(k) = 5*k**2 - 3*k - 2. Let x be y(3). Let s = x + -27. What is the remainder when s is divided by 3? 1 Calculate the remainder when (-102)/(55/(-22)*3/5) is divided by 13. 3 Let o(y) = 2*y**2 + 6*y + 15. Calculate the remainder when 222 is divided by o(-3). 12 Let n(l) = 3*l**2 + 61*l - 519. What is the remainder when 657 is divided by n(7)? 52 Let q = 31 + -26. Suppose -198 = -6*i + 120. What is the remainder when i is divided by q? 3 Let l(p) = 18*p + 3. What is the remainder when l(3) is divided by (29/2)/((-4)/(-8))? 28 Let h(y) = -5*y**3 + y**2 + 10*y + 12. Calculate the remainder when 71 is divided by h(-2). 35 Let a = -32 + 180. What is the remainder when a is divided by 38? 34 Let k = -257 + 281. What is the remainder when 44 is divided by k? 20 Let j = -4 - -5. Let w(o) = 41*o + 2. What is the remainder when 83 is divided by w(j
{ "pile_set_name": "DM Mathematics" }
93 What comes next: -76882, -153768, -230654, -307540, -384426, -461312? -538198 What is next in -13, -66, -153, -274, -429? -618 What is the next term in -641, -934, -1227, -1520? -1813 What is the next term in -338, -558, -1154, -2312, -4218, -7058, -11018? -16284 What is the next term in 173, 261, 267, 191, 33, -207? -529 What comes next: -243883, -487767, -731651, -975535, -1219419? -1463303 What is next in -865, -1986, -3111, -4240? -5373 What is the next term in -8788, -8827, -8936, -9151, -9508, -10043? -10792 What is the next term in -2525, -5766, -9007, -12248, -15489, -18730? -21971 What comes next: -176036, -352090, -528144, -704198, -880252, -1056306? -1232360 What comes next: 39, 90, 153, 228, 315, 414, 525? 648 What is the next term in -171, -249, -369, -525, -711, -921, -1149? -1389 What is next in -65, -254, -683, -1472, -2741, -4610? -7199 What comes next: 219915, 439830, 659745, 879660? 1099575 What is next in 101325, 202657, 303993, 405333, 506677, 608025, 709377? 810733 What is next in 339, 627, 831, 909, 819, 519, -33, -879? -2061 What is the next term in 1161, 4644, 10441, 18546, 28953, 41656, 56649? 73926 What is next in 2098, 2036, 1934, 1792, 1610? 1388 What is next in 16768, 33560, 50352, 67144, 83936, 100728? 117520 What comes next: -1104, -2206, -3300, -4386, -5464, -6534, -7596? -8650 What is the next term in -108, -213, -320, -429? -540 What is next in 101398, 101396, 101394, 101392, 101390? 101388 What comes next: -139075, -139069, -139061, -139051, -139039, -139025, -139009? -138991 What is the next term in 11846, 23679, 35512? 47345 What is next in 175, 458, 845, 1330, 1907, 2570? 3313 What is the next term in -3843, -15342, -34499, -61308, -95763, -137858, -187587? -244944 What is the next term in 244, 842, 1466, 2116, 2792, 3494? 4222 What is next in -2345, -4731, -7119, -9509, -11901, -14295, -16691? -19089 What comes next: -322, -640, -958, -1276? -1594 What comes next: -29, -218, -741, -1766, -3461, -5994, -9533? -14246 What is the next term in -3870, -3899, -3928? -3957 What is the next term in 1276551, 1276553, 1276555, 1276557? 1276559 What is the next term in -3231, -6485, -9739, -12993, -16247? -19501 What comes next: -1329, -1500, -1671, -1842? -2013 What comes next: 2464, 4356, 6248, 8140? 10032 What is the next term in 48207, 96425, 144643? 192861 What is the next term in -211584, -423171, -634758, -846345? -1057932 What comes next: -4213, -8418, -12625, -16834? -21045 What comes next: -872, -1763, -2658, -3557, -4460, -5367? -6278 What comes next: -935, -1781, -2641, -3521, -4427, -5365, -6341, -7361? -8431 What is the next term in 6944, 13886, 20852, 27854, 34904, 42014? 49196 What is next in -52470, -52475, -52484, -52497? -52514 What is next in 3066, 3125, 3280, 3579, 4070, 4801? 5820 What comes next: -6115, -12237, -18363, -24493? -30627 What comes next: 135506, 271018, 406528, 542030, 677518, 812986? 948428 What is next in 393, 533, 673? 813 What is next in -94923, -94935, -94955, -94983, -95019, -95063, -95115? -95175 What is the next term in -11095, -11141, -11187, -11233, -11279? -11325 What is the next term in -2972813, -5945625, -8918437? -11891249 What is next in -12763, -12762, -12761, -12760, -12759? -12758 What comes next: 1628, 3500, 5826, 8834, 12752? 17808 What is the next term in 5814, 5806, 5798, 5790, 5782? 5774 What is next in -5127, -5187, -5247, -5307, -5367, -5427? -5487 What is next in 20030, 40056, 60086, 80120, 100158? 120200 What is next in 938, 637, 336, 35? -266 What is the next term in 26977, 26994, 27009, 27022? 27033 What comes next: -55, -59, -57, -43, -11, 45, 131, 253? 417 What is next in -76911, -76917, -76933, -76965, -77019? -77101 What comes next: 1008, 3969, 8906, 15819, 24708, 35573? 48414 What is the next term in -193, -373, -545, -709, -865, -1013, -1153? -1285 What is the next term in -5974, -5959, -5934, -5893, -5830? -5739 What comes next: -2676, -5443, -8210, -10977? -13744 What is the next term in 185, 444, 703, 962, 1221, 1480? 1739 What is the next term in 154, 238, 346, 478, 634, 814, 1018? 1246 What is next in -18153, -18197, -18241, -18285? -18329 What comes next: -532, -488, -354, -82, 376, 1068, 2042? 3346 What is next in 1373, 2745, 4133, 5543, 6981? 8453 What is next in -17334, -17434, -17532, -17628, -17722, -17814, -17904? -17992 What comes next: 382803, 765604, 1148405? 1531206 What is next in -174152, -348306, -522460, -696614? -870768 What is next in 1951, 3897, 5837, 7771? 9699 What is next in 84771, 169559, 254347, 339135? 423923 What is the next term in 18011, 36023, 54035? 72047 What comes next: 9063, 36304, 81699, 145242, 226927, 326748, 444699, 580774? 734967 What is the next term in -1560, -1735, -1910, -2085, -2260? -2435 What comes next: 1522, 2979, 4434, 5887, 7338, 8787, 10234? 11679 What is next in -3523, -6959, -10237, -13279, -16007, -18343, -20209, -21527? -22219 What comes next: -487, -878, -1259, -1630, -1991? -2342 What is next in -28032, -28033, -28034, -28035? -28036 What is the next term in -1639898, -3279797, -4919696? -6559595 What is next in 602684, 1205369, 1808054, 2410739, 3013424, 3616109? 4218794 What is next in 1112316, 2224632, 3336946, 4449258, 5561568? 6673876 What comes next: -1425, -3017, -4609, -6201? -7793 What comes next: -3489, -3511, -3547, -3597, -3661? -3739 What is next in 38, 136, 298, 524, 814, 1168? 1586 What is next in -686207, -1372413, -2058619, -2744825? -3431031 What is next in -16452161, -16452160, -16452159, -16452158, -16452157, -16452156? -16452155 What is next in 42, 197, 420, 711, 1070? 1497 What is the next term in -1633, -1151, -669, -187? 295 What is next in 159, 532, 1127, 1944? 2983 What comes next: 8988, 17959, 26928, 35895, 44860? 53823 What is next in -511, -167, 189, 563, 961? 1389 What comes next: -57906, -115818, -173730? -231642 What comes next: 1312, 5359, 12146, 21673, 33940, 48947, 66694? 87181 What is the next term in -47433, -47399, -47355, -47295, -47213, -47103, -46959? -46775 What is the next term in -3648, -13243, -29228, -51597, -80344, -115463, -156948, -204793? -258992 What is the next term in 703, 717, 741, 775, 819? 873 What comes next: -1448, -1423, -1404, -1391? -1384 What is the next term in 887, 1835, 2785, 3737? 4691 What comes next: 486, 1904, 4260, 7548, 11762, 16896? 22944 What comes next: -1417953, -1417957, -1417963, -1417971, -1417981? -1417993 What comes next: 1265, 2498, 3729, 4958, 6185, 7410, 8633? 9854 What is the next term in -8515, -34088, -76709, -136378, -213095, -306860? -417673 What comes next: 100530, 201057, 301598, 402159, 502746, 603365? 704022 What comes next: 1491, 3005, 4517, 6027, 7535, 9041, 10545? 12047 What is the next term in 556, 632, 708, 784, 860? 936 What is the next term in 648203, 1296407, 1944611, 2592815, 3241019? 3889223 What is the next term in -457, -980, -1503, -2026, -2549? -3072 What is next in -6938, -6926, -6914, -6902? -6890 What is the next term in 83, 105, 135, 179, 243, 333? 455 What is the next term in -16332, -16310, -16288? -16266 What is next in 2500852, 5001706, 7502560, 10003414, 12504268, 15005122? 17505976 What is the next term in -424, -78, 268, 614, 960, 1306? 1652 What is the next term in 13583, 13586, 13607, 13658, 13751, 13898, 14111, 14402? 14783 What is the next term in 2429, 2127, 1823, 1517? 1209 What comes next: -138, -271, -394, -507, -610, -703, -786? -859 What is next in 6983, 7027, 7085, 7163, 7267, 7403, 7577, 7795? 8063 What is next in 7031, 7033, 7035? 7037 What comes next: -257, -619, -1089, -1667, -2353? -3147 What comes next: 8818, 8850, 8886, 8926, 8970, 9018? 9070 What is next in 8086, 8068, 8040, 8002? 7954 What is next in -868725, -868723, -868721, -868719? -868717 What comes next: 246246, 246239, 246232? 246225 What is the next term in 603188, 603192, 603198, 603206, 603216, 603228, 603242? 603258 What is next in 32417, 129585, 291539, 518285, 809829, 1166177, 1587335? 2073309 What is the next term in -1141, -1217, -1317, -1441, -1589, -1761, -1957? -2177 What is the next term in 260909, 260915, 260925, 260939, 260957? 260979 What is the next term in -15, -75, -101, -27, 213, 685, 1455? 2589 What is next in -148, -592, -1360, -2470, -3940? -5788 What comes next: 3
{ "pile_set_name": "DM Mathematics" }
g'th term of 1000, 1024, 1086, 1204, 1396? 3*g**3 + g**2 + 996 What is the w'th term of -46, -158, -346, -610? -38*w**2 + 2*w - 10 What is the f'th term of 199, 814, 1839, 3274, 5119, 7374, 10039? 205*f**2 - 6 What is the a'th term of -206, -428, -650? -222*a + 16 What is the q'th term of -326, -318, -308, -296? q**2 + 5*q - 332 What is the g'th term of -2168, -2160, -2152, -2144? 8*g - 2176 What is the f'th term of -643, -641, -639? 2*f - 645 What is the s'th term of -9, -26, -63, -126, -221, -354? -s**3 - 4*s**2 + 2*s - 6 What is the h'th term of -60, -58, -56, -54, -52? 2*h - 62 What is the y'th term of -23, -83, -177, -305, -467? -17*y**2 - 9*y + 3 What is the z'th term of 85, 84, 83, 82? -z + 86 What is the n'th term of -7, -38, -119, -274, -527, -902? -4*n**3 - n**2 - 2 What is the i'th term of 77, 158, 239? 81*i - 4 What is the c'th term of -91, -94, -97, -100? -3*c - 88 What is the k'th term of 1047, 2092, 3137, 4182? 1045*k + 2 What is the z'th term of -16, -19, -10, 17, 68? z**3 - 10*z - 7 What is the s'th term of -18, -19, -20, -21? -s - 17 What is the t'th term of 7139, 7140, 7141? t + 7138 What is the p'th term of 167, 159, 137, 95, 27, -73, -211, -393? -p**3 - p**2 + 2*p + 167 What is the f'th term of -107, -189, -267, -341? 2*f**2 - 88*f - 21 What is the f'th term of 17, 59, 101? 42*f - 25 What is the d'th term of -205, -406, -607? -201*d - 4 What is the i'th term of -19430, -19437, -19448, -19463, -19482, -19505? -2*i**2 - i - 19427 What is the c'th term of 10, 16, 20, 22, 22? -c**2 + 9*c + 2 What is the h'th term of -9, -77, -187, -339, -533? -21*h**2 - 5*h + 17 What is the j'th term of 1087, 1086, 1085, 1084? -j + 1088 What is the f'th term of -2, -6, -8, -8, -6? f**2 - 7*f + 4 What is the o'th term of -978, -977, -976, -975, -974? o - 979 What is the p'th term of 1016, 2035, 3054? 1019*p - 3 What is the s'th term of -3030, -3028, -3026, -3024? 2*s - 3032 What is the z'th term of 8173, 8175, 8177, 8179? 2*z + 8171 What is the q'th term of -352, -354, -360, -370, -384, -402, -424? -2*q**2 + 4*q - 354 What is the k'th term of 9, -2, -13, -24, -35, -46? -11*k + 20 What is the y'th term of 83, 178, 273, 368? 95*y - 12 What is the u'th term of 207, 417, 627, 837? 210*u - 3 What is the l'th term of 754, 748, 732, 700, 646, 564? -l**3 + l**2 - 2*l + 756 What is the r'th term of 858, 1709, 2548, 3369, 4166, 4933, 5664, 6353? -r**3 + 858*r + 1 What is the l'th term of 10, 88, 170, 256, 346? 2*l**2 + 72*l - 64 What is the n'th term of -11, -29, -47, -65, -83, -101? -18*n + 7 What is the d'th term of -5, -1, 43, 157, 371, 715, 1219? 5*d**3 - 10*d**2 - d + 1 What is the g'th term of 488, 970, 1452, 1934, 2416, 2898? 482*g + 6 What is the a'th term of 49, 29, -17, -101, -235, -431? -2*a**3 - a**2 - 3*a + 55 What is the i'th term of 44, 19, -44, -163, -356, -641, -1036? -3*i**3 - i**2 - i + 49 What is the s'th term of -194, -184, -160, -116, -46, 56, 196? s**3 + s**2 - 196 What is the a'th term of -677, -705, -759, -845, -969, -1137, -1355? -a**3 - 7*a**2 - 669 What is the p'th term of -24695, -24697, -24701, -24707? -p**2 + p - 24695 What is the v'th term of -84, -277, -576, -975, -1468? v**3 - 59*v**2 - 23*v - 3 What is the j'th term of 49, 104, 161, 220, 281, 344? j**2 + 52*j - 4 What is the m'th term of 227, 224, 225, 236, 263, 312, 389, 500? m**3 - 4*m**2 + 2*m + 228 What is the n'th term of -331, -294, -257, -220? 37*n - 368 What is the w'th term of 385, 374, 339, 268, 149, -30, -281? -2*w**3 + 3*w + 384 What is the m'th term of 35, 42, 47, 50? -m**2 + 10*m + 26 What is the p'th term of 45, 83, 117, 147, 173? -2*p**2 + 44*p + 3 What is the t'th term of -4, 3, 22, 59, 120, 211? t**3 - 5 What is the t'th term of -108, -134, -166, -198, -224, -238, -234? t**3 - 9*t**2 - 6*t - 94 What is the t'th term of -153, -152, -151, -150, -149, -148? t - 154 What is the y'th term of -1, -6, -13, -22? -y**2 - 2*y + 2 What is the s'th term of -1977, -1979, -1981, -1983, -1985? -2*s - 1975 What is the n'th term of 8, 78, 260, 608, 1176, 2018? 9*n**3 + 2*n**2 + n - 4 What is the o'th term of -7, 9, 55, 149, 309? 3*o**3 - 3*o**2 + 4*o - 11 What is the a'th term of 8168, 8166, 8164, 8162, 8160? -2*a + 8170 What is the b'th term of 310, 307, 304, 301, 298, 295? -3*b + 313 What is the h'th term of -8, -21, -64, -155, -312? -3*h**3 + 3*h**2 - h - 7 What is the a'th term of -602, -1204, -1806? -602*a What is the l'th term of -11, -39, -91, -173, -291, -451, -659, -921? -l**3 - 6*l**2 - 3*l - 1 What is the u'th term of 594, 586, 576, 564, 550, 534, 516? -u**2 - 5*u + 600 What is the c'th term of -47, -112, -195, -296, -415? -9*c**2 - 38*c What is the w'th term of 47, 75, 103, 131? 28*w + 19 What is the n'th term of -1337, -1318, -1295, -1268, -1237, -1202? 2*n**2 + 13*n - 1352 What is the p'th term of -121, -112, -91, -52, 11, 104, 233, 404? p**3 + 2*p - 124 What is the z'th term of 3758, 3753, 3748, 3743, 3738? -5*z + 3763 What is the l'th term of -18, -45, -76, -99, -102, -73, 0, 129? 2*l**3 - 14*l**2 + l - 7 What is the c'th term of 7, 0, -7, -14, -21, -28? -7*c + 14 What is the i'th term of 581, 581, 593, 623, 677, 761? i**3 - 7*i + 587 What is the i'th term of 157, 70, -171, -644, -1427, -2598? -13*i**3 + i**2 + i + 168 What is the y'th term of -201, -209, -217, -225, -233? -8*y - 193 What is the x'th term of 3, 14, 27, 42, 59, 78, 99? x**2 + 8*x - 6 What is the i'th term of -112, -113, -116, -121, -128? -i**2 + 2*i - 113 What is the u'th term of -15, 2, 3, -18, -67, -150? -u**3 - 2*u**2 + 30*u - 42 What is the q'th term of 58, 65, 72, 79, 86? 7*q + 51 What is the j'th term of 24, 44, 80, 138, 224, 344, 504, 710? j**3 + 2*j**2 + 7*j + 14 What is the f'th term of -4159, -4161, -4163, -4165, -4167? -2*f - 4157 What is the b'th term of 38, 20, -34, -142, -322, -592, -970? -3*b**3 + 3*b + 38 What is the h'th term of -10307, -10309, -10311, -10313, -10315, -10317? -2*h - 10305 What is the d'th term of -105, -102, -99? 3*d - 108 What is the m'th term of -173, -179, -199, -239, -305, -403? -m**3 - m**2 + 4*m - 175 What is the s'th term of -1454, -5852, -13192, -23480, -36722, -52924? -s**3 - 1465*s**2 + 4*s + 8 What is the f'th term of 771, 764, 745, 708, 647, 556, 429, 260? -f**3 + 772 What is the x'th term of -15, -2, 23, 66, 133, 230, 363, 538? x**3 + 6*x - 22 What is the b'th term of -7790, -15580, -23370, -31160, -38950, -46740? -7790*b What is the b'th term of 1282, 2573, 3864, 5155, 6446, 7737? 1291*b - 9 What is the a'th term of 728, 729, 730, 731? a + 727 What is the f'th term of 13, 17, 17, 13, 5? -2*f**2 + 10*f + 5 What is the a'th term of -1448, -5804, -13064, -23228? -1452*a**2 + 4 What is the r'th term of -2007, -4014, -6021, -8028? -2007*r What is the q'th term of 20, 39, 82, 161, 288, 475, 734, 1077? 2*q**3 + 5*q + 13 What is the i'th term of 1418, 1419, 1420, 1421? i + 1417 What is the w'th term of -51, -126, -229, -360, -519, -706, -921? -14*w**2 - 33*w - 4 What is the b'th term of -595, -590, -581, -568? 2*b**2 - b - 596 What is the q'th term of -62, -228, -504, -890, -1386, -1992? -55*q**2 - q - 6 What is the u'th term of 645, 673, 703, 735? u**2 + 25*u + 619 What is the o'th term of 10, 10, 2, -14, -38, -70? -4*o**2 + 12*o + 2 What is the p'th term of -200, -211, -220, -221, -208, -175, -116, -25? p**3 - 5*p**2 - 3*p - 193 What is the y'th term of 42, 57, 76, 99, 126, 157? 2*y**2 + 9*y + 31 What is the q'th term of -6, -10, -14, -18? -4*q - 2 What is the r'th term of 1865, 3722, 5587, 7466, 9365, 11290, 13247? r**3 - 2*r**2 + 1856*r + 10 What is the g'th term of -1261, -5025, -11305, -20107, -31437, -45301? -g**3 - 1252*g**2 - g - 7 What is the n'th term of -551, -1104, -1657, -2210, -2763? -553*n + 2 What is the c'th term of -411, -412, -413, -414? -c - 410 What is the b'th term of -1931, -1929, -1927, -1925, -1923, -1921? 2*b - 1933 What is the v'th term of 14, 36, 64, 98, 138, 184? 3*v**2 + 13*v - 2 What is the x'th term of 4358, 4351, 4340, 4325, 4306, 4283, 4256? -2*x**2 - x + 4361 What is the b'th term of -369, -1462, -3283, -5832, -9109, -13114? -364*b**2 - b - 4 What is the q'th term of 71, 175, 265, 335, 379, 391, 365, 295? -q**3 - q**2 + 114*q - 41 What is the z'th term of 40, 39, 36, 31, 24? -z**2 + 2*z + 39 What is the v't
{ "pile_set_name": "DM Mathematics" }
**2. Let t be m(8). Is (81 - t) + (-1 - 1) composite? False Let j(z) = -z**3 - 8*z**2 - 9*z + 7. Suppose 2*m + 0*r = -5*r - 9, 3*r = 3. Is j(m) prime? False Let k(b) = 6*b**2 - 51*b + 34. Is k(-23) a composite number? True Let v(t) = t - 1. Let q be v(6). Suppose 3*a - d + 6*d - 72 = 0, 0 = -5*a + q*d + 80. Is a a composite number? False Let w = -99 - -149. Let v(f) = 2*f + 18. Let c be v(-8). Suppose 4*g + 2*d = w + 306, 0 = c*g + 4*d - 178. Is g composite? False Suppose -8*m + 3*m = 0. Suppose m = -z - z + 628. Is z prime? False Is 4*-5613*(-6)/72 a prime number? True Suppose -i + 2 = r, 4*i + 5*r - 11 = 1. Let u = 4 + i. Suppose -5*s + 5*q + 70 = 0, u*s - 3*q + 5 = 28. Is s a prime number? True Let x(v) = -25*v**2 + v + 1. Let r(j) = -14*j**2 + 1. Let i be r(1). Let m(g) = -49*g**2 + 2*g + 2. Let y(s) = i*x(s) + 6*m(s). Is y(-1) composite? False Suppose -5*j = -3*j - 2. Let v be j/2*(-8 - -8). Let p = 23 - v. Is p a prime number? True Let u = 183 - -148. Is u a composite number? False Let q(p) = -2*p - 12. Let z be q(-9). Let s be (-2)/((z/3)/(-2)). Suppose -r + n - s*n + 155 = 0, -5*r = 3*n - 779. Is r composite? False Let y(x) = 170*x**2 - 3*x + 5. Is y(2) a composite number? True Let u(a) be the first derivative of -7*a**2 - 1. Let b be u(-3). Suppose -3*k = j + 2*k - b, -j - k + 46 = 0. Is j a composite number? False Is (-44450)/(-20) + (3/(-2))/1 prime? True Suppose 3*b - 5*y + 33 = 0, b - 4*y = -7*y + 3. Let d be (-8)/6*27/b. Is d/24 - (-118)/8 a composite number? True Let r(z) be the second derivative of 17*z**4/12 - z**3/6 - z**2/2 + 5*z. Is r(5) composite? False Let z be (-2)/6*-3 - -104. Let u = -147 + z. Is (-13)/(2*3/u) prime? False Is 276/20 - 2/(-10) prime? False Let k be (-9)/(-15) + 11319/35. Let o = -150 - 59. Let i = o + k. Is i a prime number? False Let h(d) = -55*d**3 - d**2 - 4*d + 1. Is h(-2) composite? True Let n(v) = v**2 + 5*v + 3. Is n(5) a prime number? True Let d be (-6)/9 + (-1736)/(-3). Suppose r - 3*r = -4, d = -4*f - 3*r. Is -3 - (3 - 3) - f composite? True Let o(c) = 37*c**2 - c - 1. Is o(-2) a composite number? False Let k(f) = -4*f - 8. Let v be k(9). Suppose 0 = -b + r - 16, 2*b = -3*b - 3*r - 56. Let i = b - v. Is i prime? True Let v(z) = z - 1. Let m be v(3). Is (3/m)/(3/422) composite? False Let n(z) be the third derivative of 17*z**7/360 + z**6/720 + z**5/120 + z**4/12 + z**2. Let r(w) be the second derivative of n(w). Is r(-1) composite? True Let v(n) = -n**3 + 3*n**2 - 2*n + 3. Let t be v(2). Suppose 0*u = -t*u + 18. Suppose -u*o + 220 = -2*o. Is o prime? False Suppose -z + 1 = 2, -5*x - 5*z + 35 = 0. Let v(i) = 2*i - 9. Is v(x) a composite number? False Let n(i) be the second derivative of i**5/20 - 5*i**4/12 + i**3/3 - 7*i**2/2 + i. Let x be n(6). Is 2 - (-3 + 2)*x a composite number? False Let n(v) be the second derivative of 11*v**5/20 - v**4/12 - v**3/2 + v**2/2 + 5*v. Is n(2) prime? True Let q(t) = 17*t**3 + 2*t**2 + 3*t + 4. Let r be q(-3). Let b = 13 - r. Suppose -p = -4*s + 4*p + b, -p + 489 = 4*s. Is s a prime number? False Suppose 5*o = -5*l + 10865, 5*l = 5*o + 6*l - 10881. Is o composite? True Let p = -9 + 8. Let h(b) = b**2 + b - 6. Let u be h(0). Is p/(u/(-26))*-3 a composite number? False Let v(m) = m**3 + 9*m**2 + 9*m + 6. Let n be v(-8). Let o(k) = k**3 + 2*k**2 + 2. Let w be o(n). Is 1 + -1 - (-33 + w) a prime number? True Let g(f) = -3 + 2 - 9*f + 13*f. Is g(2) prime? True Suppose -171 = -3*b + 84. Is b a prime number? False Let u(g) = 3*g**3 + 4*g**2 - 4*g + 1. Let r(q) = 10*q**3 + 11*q**2 - 13*q + 3. Let k(v) = 2*r(v) - 7*u(v). Is k(-7) a prime number? False Let z = 9 + -7. Suppose 1730 = -0*t + z*t. Is t a prime number? False Let r = -49 + 18. Let n = 130 + -192. Let j = r - n. Is j prime? True Suppose 0 = 3*q - 701 - 16. Is q composite? False Let s be 30/8*200/10. Let w = 128 - s. Is w prime? True Suppose 0 = -6*t + t + 15. Suppose 2*g - 3*p - 3 = 0, g - 2*g - 12 = t*p. Is g/(3/(-13)) + -2 a composite number? False Is 1/(-4) + -6 + (-1211)/(-28) a prime number? True Suppose -3*n - 3*u = -30, 5*u - 17 = -4*n + 24. Let y(v) = -v**3 - v**2 + v - 2. Let q be y(0). Let w = q + n. Is w composite? False Let v = 105 - 68. Is v a prime number? True Is -59*4/2*46/(-4) composite? True Let u = 0 + 141. Is u composite? True Let p(q) = q**2 - 3*q + 3. Let l be p(2). Is -20*l/(8/(-22)) a composite number? True Let q = 14 + -7. Is q prime? True Suppose 0 = -2*a + a - 5*m + 59, -96 = -2*a + m. Suppose a = -q + 2*t + 132, 3*t + 164 = 2*q. Is q a composite number? False Suppose -5*w + 56 = -4*m, 0 = -4*w + 4*m - 0*m + 48. Let f = w + -4. Suppose 0 = -3*k + f*k - 19. Is k a prime number? True Let o = 905 - 642. Is o prime? True Suppose 2*s + 2868 = 6*s. Is s a composite number? True Let k(y) be the second derivative of y - 1/10*y**5 + 0*y**2 - 1/6*y**3 + 0 - 1/6*y**4. Is k(-2) a composite number? True Let m = -15 - -25. Let q = 4 + m. Suppose q = z - 5. Is z a composite number? False Let b(u) = u - 20. Suppose -2*c + 44 = 2*c. Let s be b(c). Is (-222)/(-9)*s/(-6) a prime number? True Suppose 0 = -3*z + 11 + 13. Suppose -z = 2*h, 2*d + 3*h - 279 - 35 = 0. Is d composite? False Let s(u) = 10*u + 6. Is s(4) composite? True Let p = -1401 + 4400. Is p composite? False Let w = 2 - 0. Let m(n) = 6 - 1 + n + 5*n + n**w. Is m(-8) composite? True Suppose 4*r + 2*v = 282, 2*r + 3*v = 7*r - 358. Is r a prime number? True Let v be 0/(-1 + (-9)/(-3)). Let m(q) = -q**3 + 5*q**2 + 6*q + 6. Let i be m(6). Let s = i - v. Is s a prime number? False Let w(n) = -n**2 + 319. Is w(0) a prime number? False Suppose 6*v + 5*i + 40 = 3*v, -5*v + i - 20 = 0. Let m(h) = 8*h**2 + 7*h + 4. Let u(n) = -15*n**2 - 14*n - 8. Let a(b) = -11*m(b) - 6*u(b). Is a(v) composite? False Let n = 74 + -105. Let q = 84 - n. Is q composite? True Suppose -4*t + 14 = 2*r, -3*t + 3*r - 7 + 22 = 0. Suppose -4*k = -0*k - t. Suppose k = 2*s - 27. Is s a prime number? False Let c = -3 + 6. Suppose 5*q + 0*u - 72 = c*u, -q - 2*u = -4. Suppose -2*s - q = -4*s. Is s a prime number? False Is (-3 - -403) + 2 - 5 composite? False Let x be (1/2)/((-4)/(-40)). Suppose -z - x*y + 78 = 0, 2*z - 124 - 7 = -5*y. Is z a prime number? True Suppose -4*g + 4*z - 405 = -1665, -z = -4*g + 1266. Is g prime? True Let l = 96 + -98. Let p(f) = 0*f**2 + 0*f**2 + 2*f**2 - 4*f**3 + 3 + 4*f. Is p(l) composite? True Let d be (4/(-6))/(4/6). Let f be (7*5 + d)/2. Suppose 4*b + f = 73. Is b composite? True Suppose 2*k - 375 = 5*d - 1662, 4*k = -4. Is d composite? False Let t be 1565/10 + 1/2. Suppose -161 = -2*m + t. Suppose 5*f = 2*f + m. Is f prime? True Suppose 0 = -3*d - 3, 0 = -3*q + d - 0*d + 10. Suppose 3*x - q*z = -12 + 1266, 3*z - 2066 = -5*x. Is x a prime number? False Suppose 5*b - 20 = -5. Suppose 141 = -b*x + 945. Suppose -3*j + j = 3*a - x, 2*a = -j + 135. Is j composite? False Let i(y) = -2*y**2 + 8*y + 1. Let a(v) = 4*v**2 - 17*v - 1. Let c(j) = -4*a(j) - 9*i(j). Let x = -5 + 10. Is c(x) composite? True Let z = 510 - 219. Let u = z - 148. Is u prime? False Suppose 13*i + 1959 = 16*i. Is i composite? False Suppose p - 5*p + 40 = 0. Suppose 36 = -4*m - 4*w, -5*m - 3*w + 5 = -p*m. Is -2 - 4/(m/49) prime? True Suppose k - 3*k + 216 = 0. Let r = k + -41. Is r a prime number? True Let l = -44 + -14. Let n = -103 + 64. Let t = n - l. Is t a prime number? True Suppose 1863 = -4*a + 9467. Is a composite? False Suppose 2*w - 424 = 74. Is w composite? True Let o be 2 + 1 + -122 + 2. Let a = 472 + o. Is a a prime number? False Suppose y + 89 = -868. Let p = -656 - y. Is p prime? False Suppose u = 3*o + 4*u - 5703, 2*u = 0. Is o composite? False Let s be (-2)/(-9) + (-20)/9. Suppose -3*t - 261 = -6*t. Is (2 + t/(-6))*s a prime number? False Suppose 3*n = -n + 100. Suppose 5*a + 0 = n. Suppose 5*s + a = 110. Is s a composite number? True Let d = 34 - 20. Let u = -4 + d. Is u a prime number? False Let f(c) = 3*c**2 + 4*c - 13. Is f(-9) prime? False Let j(p) = -p**3 + 6*p**2 - 4*p - 3. Let o be j(5). Let i = 3 + o. Suppose 4*c + 53 + 268 = i*v, -3*c = -3*v + 192. Is v a prime number? False Let g(q) = q**2 + 5*q - 3. Let x(o) = -o**2 - 14*o - 9. Let z be x(-14). Is g(z) a prime number? False Let w(a) = a**3 - 7*a**2 - 7*a - 7. Let l be w(8). Let h be (-1)/(-4) + 225/12. Is
{ "pile_set_name": "DM Mathematics" }
, x: 4, t: 1}. Give prob of sequence qx. 2/33 Four letters picked without replacement from {y: 1, u: 2, k: 1, n: 2, l: 1}. Give prob of sequence knku. 0 What is prob of sequence zx when two letters picked without replacement from {c: 2, x: 1, z: 1}? 1/12 What is prob of sequence axxw when four letters picked without replacement from sxwwwsaxwaxwawaasa? 1/340 Three letters picked without replacement from ffffff. Give prob of sequence fff. 1 Three letters picked without replacement from {f: 5, l: 9, h: 2, s: 2}. What is prob of sequence ffs? 5/612 Calculate prob of sequence eq when two letters picked without replacement from eql. 1/6 Calculate prob of sequence xkr when three letters picked without replacement from kkrxr. 1/15 Two letters picked without replacement from jkjjjkzkjjzkz. What is prob of sequence jz? 3/26 Calculate prob of sequence ev when two letters picked without replacement from {e: 1, c: 1, v: 17}. 17/342 Calculate prob of sequence unro when four letters picked without replacement from onoroorouroorrfn. 1/624 Three letters picked without replacement from xikkikiikixkikixx. What is prob of sequence kxi? 7/170 Two letters picked without replacement from {t: 5, h: 5, x: 4}. Give prob of sequence ht. 25/182 What is prob of sequence lkij when four letters picked without replacement from {k: 2, i: 1, g: 4, j: 1, l: 1, d: 3}? 1/5940 What is prob of sequence dd when two letters picked without replacement from ccdcccccccccd? 1/78 Calculate prob of sequence mkk when three letters picked without replacement from mikkikikmkpvpkmkpv. 7/272 What is prob of sequence zrar when four letters picked without replacement from assrrzasaanrrrsa? 5/2184 What is prob of sequence kp when two letters picked without replacement from pyffk? 1/20 Four letters picked without replacement from {p: 3, c: 6, r: 6}. What is prob of sequence rprp? 1/182 Four letters picked without replacement from {r: 5, y: 9}. What is prob of sequence yyrr? 60/1001 What is prob of sequence aw when two letters picked without replacement from {v: 2, w: 2, x: 1, r: 2, g: 1, a: 1}? 1/36 What is prob of sequence hh when two letters picked without replacement from {p: 2, h: 7, v: 6}? 1/5 What is prob of sequence mrr when three letters picked without replacement from {m: 4, r: 7, b: 1, z: 8}? 7/285 Two letters picked without replacement from kjkvnzkkkkkkzkvkz. Give prob of sequence kj. 5/136 What is prob of sequence ll when two letters picked without replacement from {j: 6, l: 2}? 1/28 Calculate prob of sequence jjj when three letters picked without replacement from jjcjczzzczczz. 1/286 What is prob of sequence mz when two letters picked without replacement from vbbbzbmzomommvovmm? 2/51 Calculate prob of sequence ioo when three letters picked without replacement from {i: 2, o: 2}. 1/6 Calculate prob of sequence ev when two letters picked without replacement from {v: 5, e: 2}. 5/21 Three letters picked without replacement from {k: 1, e: 3, u: 2, x: 2, a: 4}. What is prob of sequence eux? 1/110 Two letters picked without replacement from onkkonknnynyondndkhk. Give prob of sequence kn. 7/76 What is prob of sequence ffpf when four letters picked without replacement from {p: 2, f: 6}? 1/7 Four letters picked without replacement from wxwwxwxxxtwwwxwxwwx. What is prob of sequence wxwx? 35/646 Calculate prob of sequence xxc when three letters picked without replacement from xhhhchx. 1/105 Two letters picked without replacement from {r: 3, i: 1, e: 6, s: 1, d: 2}. What is prob of sequence er? 3/26 Four letters picked without replacement from {e: 2, r: 3, h: 8, s: 2, d: 1, x: 1}. Give prob of sequence drxh. 1/2380 What is prob of sequence fomo when four letters picked without replacement from {f: 2, o: 8, m: 2}? 28/1485 Calculate prob of sequence sqa when three letters picked without replacement from {q: 1, s: 1, a: 1}. 1/6 What is prob of sequence zf when two letters picked without replacement from {a: 11, z: 2, f: 1}? 1/91 What is prob of sequence rd when two letters picked without replacement from {d: 1, q: 7, h: 2, r: 1, t: 5}? 1/240 Calculate prob of sequence osss when four letters picked without replacement from ooosfosfssososssas. 7/170 Two letters picked without replacement from aavaaavaaaaa. Give prob of sequence vv. 1/66 Calculate prob of sequence nngn when four letters picked without replacement from nngngnnnnnngngnnnn. 91/765 Three letters picked without replacement from {q: 3, f: 15}. Give prob of sequence qfq. 5/272 Calculate prob of sequence vjh when three letters picked without replacement from vvhovovhgnvvvhvj. 1/140 Calculate prob of sequence zz when two letters picked without replacement from {z: 4, i: 3}. 2/7 Four letters picked without replacement from aaaaaoaoaoaaaaooao. What is prob of sequence aoaa? 11/102 Three letters picked without replacement from {j: 3, e: 4, t: 2, i: 1, z: 4}. Give prob of sequence jie. 1/182 Two letters picked without replacement from {w: 10, c: 8, l: 1}. What is prob of sequence cc? 28/171 Three letters picked without replacement from rsrazllv. What is prob of sequence asl? 1/168 Three letters picked without replacement from {k: 2, z: 8}. What is prob of sequence zzk? 7/45 Calculate prob of sequence gkk when three letters picked without replacement from kkkkkkkkkkkmgkk. 2/35 Two letters picked without replacement from ttttttttdtddtttttdtd. Give prob of sequence td. 15/76 Two letters picked without replacement from ngngdqk. Give prob of sequence qn. 1/21 What is prob of sequence uih when three letters picked without replacement from {u: 2, i: 7, h: 1}? 7/360 Four letters picked without replacement from {t: 3, h: 1, g: 3, s: 3, o: 1, a: 2}. What is prob of sequence gosa? 3/2860 What is prob of sequence qqll when four letters picked without replacement from qqqqqqqqlqqqlqql? 3/140 What is prob of sequence yjyy when four letters picked without replacement from {y: 8, w: 3, j: 6}? 3/85 What is prob of sequence hz when two letters picked without replacement from {h: 3, z: 5, n: 1, m: 6, c: 3}? 5/102 Three letters picked without replacement from pmmpmmmmmmmmmmmmmmmm. Give prob of sequence ppm. 1/190 Three letters picked without replacement from ssxkkks. Give prob of sequence xks. 3/70 What is prob of sequence cb when two letters picked without replacement from fabbppccv? 1/18 Four letters picked without replacement from tttttqqtqt. What is prob of sequence qqtt? 1/20 What is prob of sequence gh when two letters picked without replacement from phggghhhp? 1/6 What is prob of sequence ei when two letters picked without replacement from eooieeoooiiioooo? 1/20 Calculate prob of sequence ttvv when four letters picked without replacement from {v: 10, t: 9}. 45/646 Four letters picked without replacement from iiqtitiittixi. Give prob of sequence itit. 21/715 Three letters picked without replacement from cwaw. Give prob of sequence acw. 1/12 What is prob of sequence aaa when three letters picked without replacement from {r: 6, a: 3, u: 1, q: 7}? 1/680 What is prob of sequence rk when two letters picked without replacement from kjrijkjwrk? 1/15 Calculate prob of sequence niii when four letters picked without replacement from iiihiniiiiiihi. 15/364 Two letters picked without replacement from {o: 3, u: 1, t: 1, e: 2}. Give prob of sequence eu. 1/21 What is prob of sequence snpn when four letters picked without replacement from znwwppzzznnspzzw? 3/7280 Three letters picked without replacement from pppuppppuppppupppppu. What is prob of sequence pup? 8/57 Three letters picked without replacement from {j: 6, d: 1, n: 3, g: 2, c: 4, v: 3}. Give prob of sequence cdc. 2/969 What is prob of sequence oy when two letters picked without replacement from yoyyyyyy? 1/8 Calculate prob of sequence sbab when four letters picked without replacement from llbwlwbwllsasrslll. 1/12240 What is prob of sequence wivi when four letters picked without replacement from wzizizviizvzzzztzizt? 1/2907 Two letters picked without replacement from glggggglllgglg. What is prob of sequence gl? 45/182 Two letters picked without replacement from xsuuxsxuusbbtxuxx. What is prob of sequence tx? 3/136 Three letters picked without replacement from aaoaafooooooa. Give prob of sequence aoa. 35/429 What is
{ "pile_set_name": "DM Mathematics" }
(9/(-20)). Is d <= -3? False Let x(n) = -2*n + 1. Let t be x(-2). Suppose -d - 4*v = t, -v - 6 = d + 4*v. Let b = d + 2. Are 0.03 and b non-equal? True Let a = 47/84 - -4/21. Let l = 32 - 31. Is a greater than or equal to l? False Let x = -11.5 - 36.5. Let b = x - -49.9. Let w = -2 + b. Which is smaller: -0.4 or w? -0.4 Let t = 20 + -31. Let a = -9 - t. Let f = 1393/15 - 93. Which is smaller: f or a? f Let c be (-2)/(-10) + 45/25. Let n(t) = -t**3 - 1 + 5 - 1 - 3*t**2 - t**c. Let d be n(-4). Which is smaller: d or 0? 0 Suppose -5*a - 3 = 7, -4*v - 4*a = -76. Is 23 < v? False Let d(v) = -2*v**2 + 12*v - 4. Let s be d(5). Suppose 4*c + 1 = -w, s = -4*w - c + 2. Is -2/9 at most as big as w? False Suppose -3*v - 5*j = 21, 0*v + 3*j = -4*v - 17. Let m = -253 - -254. Which is bigger: m or v? m Let b = -2355 + 167202/71. Which is smaller: b or 1? b Let r be (-3)/(-12)*20/235. Let v be (-2)/94*(-103)/(-9). Let k = v + r. Are 0 and k non-equal? True Let y(o) = -o + 9. Let w be y(8). Let v = -7 - -7.1. Is w < v? False Let x(d) = d - 7. Let w be x(0). Which is bigger: w or 1/4? 1/4 Let x be (1 + -1)*2/4. Let s = 2/235 - 713/940. Is x equal to s? False Suppose 3*r - 150 = -2*r. Let f be 5/r*3*-1. Which is greater: 1 or f? 1 Let p(i) = -i + 25. Let w be p(11). Suppose -3*b - w = -11. Which is smaller: 2/27 or b? b Let p = -2 + 7. Suppose 6 = p*u + 1. Is 2 less than or equal to u? False Suppose -5*u - 67 = -4*s, 0*s + 5*u + 21 = 2*s. Is 23 != s? False Let p = -1 - 0. Let u = p + 2. Let n = -0.2 + 0.1. Is u greater than n? True Suppose -4*g = -11 - 17. Suppose -g*p = -4*p. Do p and -2/11 have the same value? False Suppose 0 = -3*v + 12 - 3. Let x = -3 + v. Let p be (2 + -3)*(0 - (-8)/(-92)). Which is smaller: x or p? x Let f = 3/25 + 2/25. Do -0.2 and f have the same value? False Let q = 17 + -9. Suppose 4*l = q*l. Is l bigger than -2/9? True Suppose -6*l + 2*l = 0. Let z = -2 - l. Which is bigger: z or -1? -1 Let d(y) be the second derivative of -y**5/20 + y**4/2 - 5*y**3/6 - 3*y**2 - 2*y. Let w be d(5). Which is smaller: w or -5? w Let q = -1709/972 + 2/243. Let r = q - -45/28. Suppose 0 = -a + 4 - 3. Which is greater: r or a? a Suppose -2*r = -5*r. Let o be 3 + -5 + (r - -1). Suppose 3*f = 5*n - 8, -n = -5*f - 0*n - 6. Is f at least as big as o? True Let a(c) = c**2 - 2*c - 2. Suppose 8*z - 9 = 5*z. Let v be a(z). Is 0.1 at least as big as v? False Let b = 74 - 66. Is 8 <= b? True Let d(v) = v**2 - 8*v - 3. Let y be d(8). Let b(p) = -3*p - 23. Let h be b(-7). Is h bigger than y? True Suppose -3*p - 2*c - 4 = 2*c, 2*p = -4*c - 8. Suppose -2*v + 4 = 2*v - p*n, v - 5*n = -3. Which is smaller: 3/5 or v? 3/5 Suppose i - s = 6, -i + 3*s + 13 = -3*i. Is i at least as big as 1? True Let q = 11 - 17. Let g = q + 6. Let w be (-50)/(-126) + 4/(-14). Is g > w? False Let y(s) = s + 8. Let n be y(-4). Suppose -2*r = n + 6. Let f be (6/r)/((-18)/(-20)). Which is smaller: -2 or f? -2 Let x = 6 - 6. Let o(v) = v**3 - 5*v**2 - 6*v - 3. Let p be o(6). Let c be 3/(-5) - (2 + p). Which is smaller: c or x? x Let n = -14 - -16. Suppose -5 = n*w - 7*w. Which is smaller: -2/11 or w? -2/11 Suppose 2*m - 641 = -4*j - 19, j + 5*m = 133. Let u be 3 + -2*j/108. Is 1 at least as big as u? True Let w = 9 + -18. Suppose 2*f - 18 = -f. Let v be (-50)/f + 6/w. Is -8 > v? True Suppose 0*r = 4*r. Suppose r*k - 5*k = -15. Let s = 0 - 0. Which is greater: s or k? k Let l(b) = -2*b - 4. Let u be l(-7). Suppose 2*a = 2*i - a + 32, 0 = -5*a + 20. Let w = u + i. Is -2/5 at most as big as w? True Let h be (-2)/(-8) + -2*(-39)/(-696). Which is bigger: h or 0? h Let x = -838/3 - -281. Let i(m) = -m - 2. Let g be i(-3). Are x and g unequal? True Suppose 0 = 5*p + u + 2, 4*p - 2*u - 8 = 2*u. Which is bigger: 3 or p? 3 Let g = -1.96 + 0.96. Are -17 and g equal? False Let k = -11.1 - -11. Is k <= 17? True Let b be 4/10 - (-1)/10. Is 2 equal to b? False Let a be 4/6 - 159/171. Let i = 73/133 + a. Which is smaller: 1 or i? i Suppose -2*k - 3 = -1. Let t be (k - 1) + (6 - 4). Is 0 > t? False Let i = -135 - -123. Is i != -120/11? True Let v be (-38)/(-2) + (-18 - -14). Is v <= 16? True Let f(a) = -a**2 + 9*a - 10. Let t be f(7). Let q(b) = -b**3 + 2*b**2 + 4*b - 1. Let x be q(3). Is x equal to t? False Let q be (-2)/((-16)/(-10)) + 0. Which is smaller: q or 0.2? q Let t be -1 - (-8 + 2 + 0). Suppose 3*o - 2 = 4*v, t = -2*v + v + 3*o. Let y be (-15)/156 - (-6)/(-39). Is v greater than or equal to y? True Let q(f) = 2*f**3 + 2*f**2 - 2*f - 2. Let h be q(2). Let c = -13 + h. Let j(o) = -o**3 - o**2 + 3*o - 4. Let i be j(-3). Is i at least c? True Let b(p) = -7*p - 48. Let s be b(-7). Which is bigger: s or -12/31? s Let i be 4/8 - 22/(-4). Let s = 5 - i. Let g be -1*1/s*1. Which is bigger: 0 or g? g Let u be 1 + ((-1)/2*0)/2. Does u = 14/13? False Let i be (-15)/30 - (-5)/2. Is 0 != i? True Suppose 0 = -5*h + c - 5*c + 7, -3*h + 3 = 2*c. Is h greater than or equal to -6/73? False Let y be (-14 - -21)*(1 - 0). Is y equal to 29/4? False Suppose 0 = 5*d + b + 2, 5*b - 15 = 3*d + b. Let x be 12/(-16)*32/36. Which is bigger: x or d? x Suppose -15 = -5*r, -3*c + 4*c - 7 = -r. Suppose 2*m = -5*u + 30, -m + 3*u = -2 - 2. Let i = m - c. Which is bigger: 5 or i? i Let g = -2 + 1. Let q be g/(-2)*(-14)/7. Which is greater: 1/7 or q? 1/7 Suppose 5*n - 17 = 4*t, 0*t = 3*t + 4*n + 36. Suppose -5 - 4 = l. Which is greater: l or t? t Suppose -4*q - 5*t = 4 + 6, 2 = -q - t. Which is bigger: q or 7/29? 7/29 Let p = -4.1 - -4. Are -1 and p non-equal? True Suppose 3*o - 120 = 7*o. Let l = o + 19. Let s = l - -9. Do s and 0 have different values? True Let j be (2/(-14))/(4/12). Is j >= 0.2? False Let p be (-1)/(22/(-7) - -3). Which is bigger: 5 or p? p Suppose j = 6*j + 55. Do -13 and j have different values? True Let h = 58 + -51.1. Let f = h - 7. Which is smaller: f or -0.3? -0.3 Let f = 0.06 + 0.1. Let b = -0.27 - 0.73. Is f bigger than b? True Let y(m) = 4 - 4*m - 2*m**3 + 7*m - 5*m**2 + 3*m**3. Let c(k) = 4*k - 21. Let i be c(6). Let u be y(i). Which is greater: -3 or u? -3 Let i = 9 + -6. Let l = i - 4. Are 2 and l nonequal? True Suppose -4*l + 44 = -5*l. Let w be 3/l*4/(-1). Is 1 not equal to w? True Suppose 162 = -2*d + 4*a, 5*d - a + 390 = -6*a. Is d at least as big as -78? False Suppose 0 = -3*b - 4*k - 1, 0 = -5*b + 2*k + 3*k + 10. Which is bigger: 22/9 or b? 22/9 Let a = -19 + 13. Let h be (-48)/(-18)*(-18)/8. Is h >= a? True Let p(r) = r**3 + 29*r**2 + 54*r. Let b be p(-27). Is -1/36 > b? False Suppose 4*f - 7 = 2*d + 7, 0 = 5*d + f - 9. Let l = 702/7 - 100. Is d less than l? False Let m = 171 - 135. Which is smaller: m or 35? 35 Suppose p - 3*y = 18, -y - y - 22 = -4*p. Which is greater: p or 4? 4 Let q = -1712/7 + 244. Is q not equal to 0? True Suppose 0 = 3*n - 0*n - 4*b - 22, 0 = 2*n + 3*b + 8. Suppose 3*s - 18 = -3*i, 0 = n*i + i - 2*s + 2. Let l be 2/9 - (-42)/54. Which is greater: i or l? i Let k = 29.2 + -27. Let n = k + -3.1. Let j = n - -1. Which is bigger: j or -3? j Let s = 1 + -1.01. Let x = -0.82 + -0.18. Is s <= x? False Let p be (-28)/13 - (-7 + 5). Let h(t) = -t**2 - 7*t + 8. Let v be h(-8). Is p <= v? True Let r = 114/13 + -1052/117. Which is smaller: r or -1? -1 Let o(l) = l**2 + 6*l + 5. Let q be o(-5). Does q = -2/135? False Suppose -x = -4*x - 90. Let j be 16/x + (-3)/(-9). Which is greater: j or 0? 0 Let j(f) = -f**3 + 4*f**2 - f + 4. Let n be j(3). Which is greater: 7 or n? n Let x = 13.96 - 14. Let l = x - 0.06. Is -3/4 > l? False Let u be (-12)/(-4) + 18/(-8). Do 2 and u have different values? True Let k = 0.6 - 0.2. Let a = k + -0.1. Is a > -0.1? True Let f = 38/5 - 37/5. Do f and -1/3 have different values? True Let d be (-16)/(-18) - 4/6. Let l be 200/99 - 6/3. Let c = 68/99 - l. Which is greater: d or c? c Suppose 3*u = -c - 35, -25 = -0*u + 3*u - c. Let i(o) = o**2 + 10*o. Let l be i(u). Which is greater: 1/3 or l? 1/3 Suppose -2*i + 8 = 0, 2*i - 58 = -7*c + 2*c. Is c at most 11? True Let l(i) = i**2 - i - 2. Let h be l(2). Let k be (h + (-1)/1)/2. Let x(z) = -z**3 + 2*z**2 + 3*z. Let n be x(3). Is k smaller than n? True Let l = -10 - -6. Let p = l + 2. Let b(c) = -c**3 + 2*c**2 - 2*c + 3. Let s be b(2). Which is smaller: p or s? p Let f be (6/(-40))/((-6)/(-4)). Suppose -24 = -3*v -
{ "pile_set_name": "DM Mathematics" }
v a multiple of 24? True Let h = 68 - -4. Let d = h + -2. Is 5 a factor of d? True Let p(d) = -2*d**2 - 3*d + 2. Let h be p(0). Suppose -h*a = -7*a + 285. Is a a multiple of 4? False Let p(f) = -2*f + 10*f**2 + f**3 + 9*f - 19*f - 11. Is p(-10) a multiple of 24? False Let o = 58 - 4. Suppose -57*w + 540 = -o*w. Does 19 divide w? False Suppose -k + 20 = -3*v, 2*k + 5*v + 30 = 3*k. Let w = -112 + 114. Suppose -l = -3*g + 35, w*g = -k*l + l + 28. Does 6 divide g? True Let g(k) = 107*k - 1530. Is g(22) even? True Is (-1 - 5)/((-32)/208) a multiple of 19? False Let u be (3 - (-2 + 1)) + 372. Suppose -9*h + u + 209 = 0. Is 6 a factor of h? False Let r be 62/6*21/14*18. Suppose 229 = 2*n - 5*u, -2*n + 5*u - r = -4*n. Does 13 divide n? False Suppose p + 4*p = 10. Suppose 0 = -2*x - p*k + 60, -2*x - 3*k + 39 = -18. Is 11 a factor of x? True Suppose 11*b - 6750 = -16*b. Does 50 divide b? True Does 3 divide -7 + (-160)/(-24) + 8224/12? False Suppose -n - 841 = -2*n + a, 6*a = -6. Is n a multiple of 56? True Suppose -65 - 160 = 3*i. Let g = -50 - i. Does 3 divide g? False Suppose 0 = 5*f - 2 + 17. Let y = f + 3. Suppose -q = 4*d - 26, 7*q - 3*q + 3*d - 65 = y. Does 8 divide q? False Suppose 1115 = 5*i - 2075. Is 22 a factor of i? True Suppose 4*z + 3*p - 15 = 0, -2*z + 3*p + 6 = z. Suppose 5*h - 8 = z*h. Suppose -321 = -h*k + k. Does 12 divide k? False Let s = -21 - -21. Let o(y) = 0*y**2 + 9 + 3*y**2 + 6 - 4*y**2. Is 15 a factor of o(s)? True Let t(o) = 12*o + 5. Let i(q) = -13*q - 6. Let a(j) = -3*i(j) - 4*t(j). Does 2 divide a(-1)? False Let g(m) be the second derivative of m**5/20 - 23*m**4/12 - 19*m**3/6 - 3*m**2/2 - 34*m. Is 6 a factor of g(24)? False Suppose 3*u - v = 945, 3*u + 8*v = 4*v + 930. Let k = -212 + u. Does 15 divide k? False Let g(h) = -43*h + 1. Let b be g(-1). Let k(r) = 10*r + 82. Let y be k(-8). Is y/11 + 388/b a multiple of 3? True Suppose a - j - 10 = 2*j, -4*j = -a + 11. Is 19 a factor of 130 + (-5 + a)/(-2)? False Let v be 172/10 - 3/15. Suppose 2*d - 3*t = 5, 4*d - 2*t = v + 13. Is d a multiple of 6? False Suppose 0*o + 3*o = 0. Suppose 5*b - 26 + 326 = o. Does 22 divide (-12)/b - 109/(-5)? True Suppose 0 = 5*q, y + 2*q - 14 = 20. Suppose -5*o = -334 + y. Is 16 a factor of o? False Let c = -191 + 483. Is c a multiple of 65? False Let i = 183 + -126. Suppose p + 4*c = -5, 3*c + 95 = 5*p - c. Suppose i = 4*g - p. Is g a multiple of 18? True Let b be (-128)/(-24) - (-1)/(-3). Suppose -5*x + 0*f + 4*f + 84 = 0, -b*x + 3*f = -83. Let p = x + 4. Is 5 a factor of p? True Suppose 119 = 5*v - 131. Suppose v = -f - f. Let d = f + 35. Is 5 a factor of d? True Suppose 4*g + 0*g = -5*u + 3816, 2*u - 3*g = 1531. Is u a multiple of 5? False Suppose -10*r = -2967 - 4733. Is r a multiple of 55? True Suppose -x + 23 = 2*s, -x - 3*s + 12 = -14. Suppose -p + x = f - 23, -f + 44 = 2*p. Does 12 divide f? True Let z(g) = -g**2 - 17*g - 19. Let n be z(-16). Let a(y) = 3*y**3 + y**2 - 4*y - 6. Let v be a(n). Is 11 a factor of 40/(-10) - v/2? False Let n(m) be the second derivative of 101*m**3/6 + 5*m**2/2 + 11*m. Let s be n(3). Suppose -7*j = -0*j - s. Does 15 divide j? False Is 33 a factor of (-24149)/(-82) - (-1)/2? False Let g(s) = -19*s**2 + 3*s - 3. Let l be g(3). Let n be (-58)/(-15) + (-22)/l. Suppose 5*b + 1 = -v, 2*v - 16 = -n*b - 0*b. Is v a multiple of 7? True Suppose -y - 187 = -947. Is y a multiple of 4? True Let f(j) = -j**3 - 2*j**2 - 2*j - 1. Let i be f(-2). Suppose -6*c - 1195 = -5*y - c, 3*y - 723 = -i*c. Suppose -6*o + y = -o. Is 12 a factor of o? True Let v(y) = 6 - y**2 + y**3 + 0*y + 6*y**2 - 8*y + 3*y. Let u be v(-6). Suppose 7*i - 5*i - 18 = u. Is i a multiple of 2? False Suppose 2289 = -3*x + 4*x - 2*a, 5*x - 11409 = -2*a. Does 9 divide x? False Let c = -2 + 1. Let w(l) = -27*l - 19. Let f(n) = 55*n + 35. Let g(v) = -6*f(v) - 11*w(v). Is 7 a factor of g(c)? False Let s = 1373 - 643. Is s a multiple of 10? True Let z be (6/(-9))/(8/24). Let j(c) = -c**3 + c**2 + 3*c + 3. Does 9 divide j(z)? True Suppose 0 = 2*i - 10 + 56. Let u = i + 123. Does 25 divide u? True Suppose -b = 2 + 2, 0 = -4*t - 2*b - 16. Is 2 a factor of (t - -2) + (-3 - -6)? False Suppose 0 = 10*i - 1181 - 439. Is 4 a factor of i? False Let n(d) = d**2 + 19*d + 14. Let t be n(-19). Suppose -4*w - 3*z + 103 = -7, -4*z = 5*w - 138. Let y = w - t. Is y a multiple of 4? True Let s = 5 - 8. Let b be (4 + (-7 - s))/2. Suppose -4*i + 5*i - 16 = b. Does 16 divide i? True Suppose 15 = 5*z - 10. Does 18 divide 5*(2/z*77 - 0)? False Let g = 795 - -181. Is 10 a factor of g? False Let d = 122 - 24. Is d a multiple of 8? False Let t(i) = i**2 - 7*i + 70. Is t(12) a multiple of 11? False Suppose -1172*o + 1167*o + 8100 = 0. Does 27 divide o? True Let y(g) = g**2 - 7*g + 8. Suppose 8*b - 23 + 87 = 0. Is y(b) a multiple of 16? True Let d = -24 - -31. Suppose d*t = t + 258. Does 7 divide t? False Suppose 5*y + 10 = 0, -j = -37*y + 36*y - 1003. Is j a multiple of 91? True Suppose -2 = 4*q - 5*q. Let d(j) = j + 3. Let z be d(q). Suppose 0 = z*t - 2*t - 72. Does 12 divide t? True Let g be 8/52 + (-37)/(-13). Suppose 5*y + 9 = j - 2*j, -5*j - 4*y - g = 0. Is 14 a factor of j - (-11 + -3) - 1? True Let n = 186 - 87. Suppose 5*a = -2*l - 99, 0 = -3*l + 6*a - a - 111. Let x = n + l. Is x a multiple of 19? True Let c(n) = 11*n - 59 + 56 - 4*n. Let h be c(3). Does 13 divide 0/3 + h + -1? False Let l be (2 - 0)/((-11)/(-891)). Suppose -4*s + 3*s + 3*a + 45 = 0, -4*s + l = -3*a. Does 7 divide s? False Suppose 5*m = -5*q + 3*m + 3025, 5*m + 2453 = 4*q. Does 3 divide q? False Let g(z) = -z**3 + 5*z**2 - 6*z + 2. Let q be g(2). Suppose 3*b = -b + m + 558, q*m = b - 136. Is b a multiple of 35? True Let z be (-2)/8 + 75/(-4). Let d = 150 - z. Is d a multiple of 11? False Let i = 842 + 113. Does 65 divide i? False Let a(f) = -f**3 + 20*f**2 - 20*f + 19. Let i be a(19). Suppose 0*g + g - 27 = 3*z, i = 4*g + 2*z - 122. Is g a multiple of 5? True Let w = 31 - 32. Let h be (0 - -24)/(1/1). Is (-7 + h)*(w + 2) a multiple of 7? False Does 83 divide -1494*(-12)/24 + 0 + 0? True Let n(z) = z**2 - 3*z - 24. Let s be n(7). Is 30 a factor of (-1 + 0)*(-114 + s)? False Let u = -154 + 134. Let n(o) = -3*o - 15. Does 3 divide n(u)? True Suppose 3*a + 10 = -o, 2*a = -o + 5*o - 16. Does 3 divide (-1 + o)/(6/180)? True Suppose -4*o + 8 = 0, -5*c = -2*c - 3*o + 339. Let z = c + 200. Does 11 divide z? False Suppose -2*d - 34 - 6 = 0. Let b = d + 21. Suppose -4*m = -3*u + 100, -4*m - b = -9. Is u a multiple of 12? True Suppose 2*b = 5*b - 4*a + 11, 0 = -2*b + 5*a - 19. Is 22 a factor of (b + 38 - 4)*1? False Is 2 a factor of 11 + (5 - 6)*-3? True Suppose -325 = -5*w + 5*o, -5*w = 5*o - 308 + 33. Does 20 divide w? True Let h(i) = -2*i - 9. Let o be h(-7). Let q(u) = 3*u - 11. Let g be q(o). Suppose 5*c - 64 = f + 52, -8 = -c + g*f. Is c a multiple of 12? True Let c(r) = r**2 + 4*r - 2. Let f(w) = 0*w + 3*w - 2*w. Let d(i) = c(i) - 4*f(i). Does 3 divide d(3)? False Let y(i) = i**2. Let x(h) = h**3 - h**2 + 2*h - 6. Let c(w) = -x(w) + 4*y(w). Suppose -n - 7 = -k, 0 = 4*k - 2*n + 5*n - 7. Is c(k) a multiple of 5? False Let h = -120 - -495. Is h a multiple of 25? True Suppose 18*z - 4*z = 686. Suppose -46*k - 54 = -z*k. Does 6 divide k? True Let r(a) = 39*a + 29. Let l(k) = 13*k + 10. Let b(z) = 8*l(z) - 3*r(z). Does 18 divide b(-11)? False Let h(a) = -3*a - 9. Let b be h(-3). Suppose -4*u + 2*u = b, -3*m = 3*u - 204. Suppose 4*q + m + 6 = 3*t, -4*t + 136 = 4*q. Does 6 divide t? True Let r be (-2)/8*10*-2. Let g = 34 + r. Is g a multiple of 16? False Is 29 a factor of ((-78)/(-12) + 1)*58? True Suppose -6 = 12*z - 15*z. Suppose z*o = -3*o + 375. Does 21 divide o? False Let u(g) be the third derivative of -g**4/24 + g**3/6 + 5*g**2. Let o be u(0). Suppose r - 6 - o = 0. Is r a multiple of 2? False Let p be -6*4/(-6) - -1. Let w(o) = o**2 - 6. Let g be w(p). Let f = g + -6. Is f a multiple of 8? False Let h(w) be the first derivative of 6*w**3 + w**2/2 + 2*w + 13. Suppose -4*q - q + 2*v = 14, 3*v = 6. Is 24 a factor of h(q)? True Suppose -11 = -4*a + 5. Suppose 3*g = -b + 64, a*g + 21 - 88 = -b. Does 12 divide b? False Let r be (70/8)/((-1)/4). Let o be -4 - (740/5)/(-2). Let m = r + o. Is 13 a factor of m? False Suppo
{ "pile_set_name": "DM Mathematics" }
. Give 7*o(y) + 2*w(y). y**3 - y Suppose 5*r - 3*y + 27 = 0, 2*r + 4*y + 9 = 7*y. Let o(w) = 4*w**3 + w - 3. Let m(q) = 3*q**3 - 2. Calculate r*m(t) + 4*o(t). -2*t**3 + 4*t Let o(g) = 2*g**2 + g + 2. Suppose -1 = -2*x + 1. Let p = x - -1. Let z(m) = -1 + 0*m**p + m**2 - 2*m**2. Give 2*o(u) + 6*z(u). -2*u**2 + 2*u - 2 Let m(v) = 11*v**2 - 8. Suppose -21 + 4 = -j. Suppose -j = 2*k - 1. Let d(x) = 7*x**2 - 5. Determine k*d(y) + 5*m(y). -y**2 Let l(n) = 4*n + 3. Let m(u) = 7*u + 5. Let z(a) = -a**2 + 8*a - 9. Let c be z(8). Let w be (-3)/2*(-18)/c. Determine w*m(f) + 5*l(f). -f Let m(b) = 7*b**2 + 3. Suppose -6*a + 4*i = -5*a - 12, 155 = 5*a - i. Let o(u) = 76*u**2 + 32. Determine a*m(l) - 3*o(l). -4*l**2 Let y(d) be the first derivative of d**3/3 + d**2/2 - 7*d - 41. Let c(j) = j - 6. Determine 5*c(p) - 4*y(p). -4*p**2 + p - 2 Let c(n) = -67*n**3 + 6*n**2 - 6*n. Let l(s) = -671*s**3 + 61*s**2 - 61*s. Calculate -61*c(t) + 6*l(t). 61*t**3 Let y(j) = -j**3 - j**2 - j. Let z(i) = 4*i**3 + 3*i**2 + 3*i. Let r = 99 - 96. Give r*y(g) + z(g). g**3 Let s(l) = -12*l**2 - 4*l. Let k(y) = 6*y**2 + 2*y. Give 10*k(n) + 4*s(n). 12*n**2 + 4*n Let w(m) = -2*m**2 - 5. Let z be ((-2)/6)/((-1)/6). Let h(x) = -x**z - 4 + 5 - 4. Let l(y) = y**2 - 3*y - 7. Let b be l(5). Calculate b*w(c) - 5*h(c). -c**2 Let c(z) = -2*z**3. Let k = 16 + -18. Let d(x) = -10*x**3. Determine k*d(v) + 11*c(v). -2*v**3 Let n = -8 - -12. Let k(j) = 2*j. Let o(d) = 4*d. Let h(p) = 4*p. Let y(x) = 5*h(x) - 4*o(x). Give n*y(q) - 9*k(q). -2*q Let k(d) = -1. Let z(h) = h - 3. Let r = 2 + -1. Let w = r + -3. What is w*z(i) + 5*k(i)? -2*i + 1 Let z(b) = -b**3 + b + 1. Let o(v) = 27*v**3 - 3*v - 3. Give o(g) + 3*z(g). 24*g**3 Let p(w) = 8*w**2 - 12*w + 1. Let r(u) = 9*u**2 - 13*u + 1. What is 7*p(g) - 6*r(g)? 2*g**2 - 6*g + 1 Let r(s) = 55*s. Let d(p) = -18*p. Calculate -8*d(c) - 3*r(c). -21*c Let u(r) = 38*r - 1. Let x(p) = 115*p - 4. Determine -7*u(h) + 2*x(h). -36*h - 1 Let x(l) be the first derivative of 2*l**2 + 1. Let h(i) be the third derivative of 5*i**4/24 + 12*i**2. Calculate 2*h(q) - 3*x(q). -2*q Let c(m) = -1. Let d(k) = k**2 + k - 2. Give -4*c(p) + 3*d(p). 3*p**2 + 3*p - 2 Let w(h) = 6*h**3 - 3*h**2 + 3*h. Let d(o) = o**3 + o**2 - o. Calculate -6*d(x) - 2*w(x). -18*x**3 Let j(f) = -2*f**3 - 3*f**2 + 3*f + 2. Let w(v) = v**2 - v - 1. Give -j(s) - 2*w(s). 2*s**3 + s**2 - s Let o be ((-15)/(-3) + -3)*4. Let u = o + -13. Let l(q) = -4*q**3 - 5*q**2 + 5*q + 5. Let y(t) = -3*t**3 - 4*t**2 + 4*t + 4. What is u*y(x) + 4*l(x)? -x**3 Suppose 0 = -2*x - 2*i - 4, -5*x - 26 = i. Let o(r) = r + 4. Let d(s) = s + 3. Calculate x*d(j) + 5*o(j). -j + 2 Let p(n) = -2*n - 3. Let s(m) = -m**2 + 2*m + 2. Give 2*p(j) + 3*s(j). -3*j**2 + 2*j Let p(j) = -27*j**3 + 9*j**2 + 9*j - 9. Let f(x) = -x**3 + x**2 + x - 1. What is 9*f(q) - p(q)? 18*q**3 Let t(v) = -v. Let j(d) = -7*d**3 + 6*d. Calculate j(h) + 6*t(h). -7*h**3 Let d(x) = -25*x**2 - 40*x - 40. Let y(v) be the first derivative of 2*v**3/3 + 3*v**2/2 + 3*v + 14. Calculate -3*d(h) - 40*y(h). -5*h**2 Let c(b) be the third derivative of b**6/120 - b**3/3 - b**2. Let l(p) = -3*p**3 + 5. Give -5*c(n) - 2*l(n). n**3 Let w(g) = 16 - 14*g - 1 + 2. Let y(v) = v + 4. Let c(a) = 8*a + 6. Let m(q) = -c(q) + 3*y(q). Calculate 17*m(i) - 6*w(i). -i Suppose 3*a - 4*o - 16 = 5*a, -4*a = -4*o - 28. Let i(x) = x + 11. Let j be i(-8). Let g(t) = -4*t - 2. Let u(c) = 7 + 3*c - 5 + 0. What is a*g(p) + j*u(p)? p + 2 Let b(t) = 5*t - 3. Let x(o) = 14*o - 8. Let j be 66/4*(-4)/(-6). Let m(w) = -w - 11. Let u = -11 + 4. Let h be m(u). Give h*x(r) + j*b(r). -r - 1 Let w(n) be the second derivative of -n**4/3 - 7*n**3/6 - 16*n. Let k(i) = -6*i**2 - 11*i. Let x = -7 + 15. Calculate x*w(h) - 5*k(h). -2*h**2 - h Let x(q) = -3*q + 1. Let s(k) = k - 4. Let o(m) = -2*s(m) + 6*x(m). Let z(c) = -7*c + 5. Give 4*o(g) - 11*z(g). -3*g + 1 Let f(b) = 2*b**3 - b**2 - 5*b. Let i(y) = -y**3 + y**2 + 5*y - 1. Give 2*f(x) + 3*i(x). x**3 + x**2 + 5*x - 3 Let a(o) be the second derivative of o**5/20 + o**4/3 - 2*o**3/3 - 3*o**2 + 3*o. Let f(j) = -3*j**3 - 11*j**2 + 11*j + 17. Give 17*a(k) + 6*f(k). -k**3 + 2*k**2 - 2*k Let z(w) = 11*w**2 + 11*w. Let a(q) = 7*q**2 + 2*q - 5. Let h(j) = -22*j**2 - 6*j + 16. Let i(r) = 16*a(r) + 5*h(r). Calculate 34*i(b) - 6*z(b). 2*b**2 + 2*b Let k(t) = 13*t. Let n(o) = 7*o. What is -3*k(q) + 5*n(q)? -4*q Let g(w) = -3*w**2 + 2*w - 4. Let h(t) = 6*t**2 - 4*t + 8. Calculate 5*g(b) + 3*h(b). 3*b**2 - 2*b + 4 Let z(n) = -4*n - 3. Let m(g) = g**2 - 12*g - 11. Let i be m(13). Let s(v) = -9*v - 7. What is i*s(p) - 5*z(p)? 2*p + 1 Let q(u) = -3*u**3 + 3. Let k(m) = -m**3 + m + 1. Give 5*k(a) - q(a). -2*a**3 + 5*a + 2 Let m(d) be the second derivative of d**3/6 - 2*d. Let c(x) = -2*x + 1. Give -c(z) + 2*m(z). 4*z - 1 Let i(o) = 3*o**3 + 2*o + 5. Let f(g) = 3*g**3 + 2*g + 6. What is -3*f(j) + 4*i(j)? 3*j**3 + 2*j + 2 Let g(k) = 2*k**2 - 3*k - 6. Let s(j) = j - 1. Calculate -g(v) - 4*s(v). -2*v**2 - v + 10 Let x(i) = -i**3 - i**2 - i. Let u(l) = -l**3 + 2*l**2 + 3*l - 2. Calculate u(t) + 3*x(t). -4*t**3 - t**2 - 2 Let o(r) = 2*r**3 - 3*r**2 + 3*r + 3. Let x(w) = 3*w**3 - 5*w**2 + 5*w + 5. Suppose 5*d + 12 = d. What is d*x(z) + 5*o(z)? z**3 Suppose -4 + 0 = -4*h. Let k(v) = -2*v + 4. Let n(c) = 2*c**3 - 2*c**2 - c - 2. Let p be n(2). Let a(b) = 6*b + 0*b - 6*b - 1 + b. Give h*k(o) + p*a(o). 2*o Let d(q) = -2*q - 5. Let b(c) be the third derivative of c**3/6 + 4*c**2. Calculate 3*b(v) + d(v). -2*v - 2 Let g be 0 + 3 + 8/4. Let j be 4/(-10) + 27/5. Suppose -22 = d + g*r - r, 0 = j*d - 3*r - 5. Let x(l) = -2. Let q(m) = m**2 - m - 10. Give d*q(z) + 11*x(z). -2*z**2 + 2*z - 2 Let b(f) be the first derivative of f + 1/2*f**2 - 1. Let k(g) = 1. Let r(i) = -4*i - 5. Let p(n) = -2*k(n) - r(n). Determine 14*b(m) - 4*p(m). -2*m + 2 Let m(g) = 2*g**2 + 2. Let u(j) = -10*j. Let w be u(-1). Let v = w + -5. Let z(t) = -t**3 + 5*t**2 + 5. Give v*m(r) - 2*z(r). 2*r**3 Let z(n) = n**2 + n. Let h(a) = -9*a - 2. Determine -h(s) - 3*z(s). -3*s**2 + 6*s + 2 Suppose -13*x = -32 + 6. Let z(d) = 2*d**2 + 2*d - 2. Let r(v) = -8*v**2 - 8*v + 9. Calculate x*r(g) + 9*z(g). 2*g**2 + 2*g Let s(g) = -3*g**3 + 8*g**2 - 7*g. Let c(u) = -u**3 + 4*u**2 - 4*u. Determine 5*c(v) - 2*s(v). v**3 + 4*v**2 - 6*v Let k(m) = 15*m**3 - 6*m**2 + 4*m + 4. Let s(l) = -14*l**3 + 5*l**2 - 3*l - 3. Give 3*k(a) + 4*s(a). -11*a**3 + 2*a**2 Let u(x) = -17*x + 19. Let s(t) = -17*t + 17. Let m(c) = 4*s(c) - 3*u(c). Let p(y) = -6*y + 4. Calculate -4*m(j) + 11*p(j). 2*j Let p(r) be the third derivative of -r**3/2 - 2*r**2. Let o(h) be the second derivative of -h**3/6 - h**2 + 3*h + 1. Determine -3*o(g) + 2*p(g). 3*g Let j(r) = -17*r**3 + 5*r**2 - 7*r. Let m(o) = 8*o**3 - 2*o**2 + 3*o. Determine 3*j(f) + 7*m(f). 5*f**3 + f**2 Let v(a) = -a**3 - 1. Suppose 2 = -0*w + w. Let l(m) = -m**3 + m**2 - 2*m - 2. Calculate w*v(y) - l(y). -y**3 - y**2 + 2*y Let z(a) be the first derivative of -2*a**3/3 + 2*a**2 + 3*a + 1. Let c(m) = 2*m - 9 - 11*m + 4*m**2 + 2 + 0*m**2. Calculate -3*c(u) - 7*z(u). 2*u**2 - u Let u(r) = -42*r - 7. Let a(k) = -41*k - 6. Determine -7*a(v) + 6*u(v). 35*v Let z(j) = j + 1. Let a(x) = 4*x + 2. Calculate -3*a(v) + 8*z(v). -4*v + 2 Let f(t) = 6*t + 2. Let z(p) = -15*p - 6. Let s(a) = 10*a + 4. Let w(x) = 8*s(x) + 5*z(x). What is 6*f(l) - 7*w(l)? l - 2 Suppose 0 = 2*d - 3*w + 7, 4*d + 22 = w - 3*w. Let r(s) = -5*s + 1. Suppose -3*v = 2*m - 12, -2*m = -0*v - v - 4. Let p(f) = -9*f + 1. What is d*r(c) + m*p(c)? -2*c - 2 Let f(b) = 2*b**2 - 4. Let n(z) = 1 + 7*z**2 + 6*z**2 - 14*z**2. Determine f(t) + 4*n(t). -2*t**2 Let l(c) be the third derivative of 0*c**4 + 0 + 1/3*c**3 + 0*c - 1/60*c**5 + 2*c**2. Suppose 0 = 2*v + 18 - 0. Let b(d) = 5*d**2 - 9. What is v*l(x) - 2*b(x)? -x**2 Let w(j) = -j + 5. Let v(s) = s - 6. Let y be (1/2)/((-4)/(-40)). What is y*w(i) + 4*v(i)? -i + 1 Suppose -6 = -a + 2*a. Let m(b) = b**2 + 4*b - 6. Let p(t) be the first derivative of t**3 + 11*t**2/2 - 17*t - 14. Calculate a*p(z) + 17*m(z). -z**2 + 2*z Let s(h) = -3*h**2 - 7*h - 31. Let d(n) = 2*n**2 + 5*n + 21. What is -7*d(u) - 5*s(u)? u**2 + 8 Let s(a) be the second derivative of -4*a**3/3 - 3*a**2 - 4*a. Let w(i) = 14*i + 5. Let m(u) = 7*u + 3.
{ "pile_set_name": "DM Mathematics" }
(h) = -3*h**2 + 15*h + 6. Let w(f) = 3*g(f) - 2*l(f). What are the prime factors of w(17)? 2, 3 Let c = 4 - -8. Suppose 0 = f - 16 - c. Let g = 39 - f. What are the prime factors of g? 11 Let l(z) = z**3 - 11*z**2 - z + 13. Let u be l(11). Let g be 1 + -1 + (40 - u). Suppose 8 = 4*j, 4*f + j = -0*j + g. What are the prime factors of f? 3 Let k = 6 + -5. List the prime factors of -1 + -3 - (-30)/k. 2, 13 Suppose 7*z - 8*z = -5. Suppose 0 = s + s + 2*f + 14, 5*f - 85 = z*s. Let l = 22 + s. List the prime factors of l. 2, 5 Let t(a) = -429*a**2 - 6. Let o(g) = -429*g**2 - 5. Let c(y) = 7*o(y) - 6*t(y). Let s be c(1). What are the prime factors of (-12)/(-54) + s/(-18)? 2, 3 Let d(h) = -h**3 + 7*h**2 - h + 3. Let i be d(5). Suppose i = 2*b - 5*b. What are the prime factors of (-12)/b - (-10)/8? 2 Let u(l) = -l**3 - 2*l**2 + 2*l - 1. Let y be u(-3). Let j be (-2)/(y/13) + 1. Let p = 17 + j. What are the prime factors of p? 5 Let m be (-2)/(-11) - (-218)/11. Let y = m - 7. List the prime factors of y. 13 Let j = -7 + 12. Suppose 12 = 5*y - 4*w, -j*w = -2*y - 3*w + 6. Suppose -2*p + y = -6. What are the prime factors of p? 3 Let h(j) = 2*j**3 - j**2 + 2*j - 4. Let s(b) = -b**3 + b**2 - b - 1. Let z(m) = -h(m) - s(m). What are the prime factors of z(0)? 5 What are the prime factors of ((-103)/(-3))/(33/(-9) + 4)? 103 Let i(a) = -2*a**2 - 2*a**3 + a**3 + 4 - 2. Let k(h) = h - 8. Let t be k(6). List the prime factors of i(t). 2 Suppose 0 = -5*x - 15, -3*j + 53 = j + x. List the prime factors of j. 2, 7 Let o = -2 + 80. Let b be o/(-12) + (-1)/(-2). What are the prime factors of (b/(-8))/((-2)/(-24))? 3 List the prime factors of 3 + 1/1 - -24. 2, 7 Let t(f) = f**2 + 7*f + 7. Let v be t(-6). Let q(o) = 19*o**3 - o**2. Let s be q(v). Let n = -6 + s. What are the prime factors of n? 2, 3 Let s(x) = -2*x - 6. Suppose 0 = -v - 0*v + 2. Let y be v - 1/((-3)/(-18)). List the prime factors of s(y). 2 Suppose 4*r = -4*a + 4, 0 = -5*a + 3*r - 4*r + 25. What are the prime factors of 2*(-3)/a + 8? 7 Let r(b) = 16*b**3 + b**2 - 1. Let i(u) = 8*u**2 + 1. Let p be i(-1). Let d = p - 8. List the prime factors of r(d). 2 Let m = -11 - 105. Let y = -71 - m. Suppose 11 + y = 4*k. What are the prime factors of k? 2, 7 Let z(v) = 2*v**3 - 6*v**2 + v + 4. Let t be z(4). Suppose 3*j - 5*l = 3 + 29, 3*j - l - t = 0. What are the prime factors of j? 2, 7 Let p = 346 - 164. What are the prime factors of p? 2, 7, 13 Let g(w) be the second derivative of 4*w**3/3 + w**2/2 + 2*w. What are the prime factors of g(1)? 3 Suppose 3*q + 12 = 87. Suppose 0 = -t - 3*a - 3, q = 5*t + 4*a + a. What are the prime factors of t? 3 Suppose 2*m = j + 4*j + 411, -3*m = 5*j - 604. List the prime factors of m. 7, 29 What are the prime factors of 488/12 + 3/9? 41 List the prime factors of (-2 - 232/(-12))/((-4)/(-30)). 2, 5, 13 Let j(k) = -k**3 + 3*k**2 + 8*k - 3. Let s be j(6). What are the prime factors of s/(-4) + (-2)/(-8)? 2 Suppose 21 = 5*h - 9. Let p = h + -2. List the prime factors of p. 2 Let r = -4 - -20. Suppose -5*w + 64 = -r. List the prime factors of w. 2 Suppose s + 5*a - 255 = 0, -5*s + a + 3*a + 1159 = 0. What are the prime factors of s? 5, 47 Suppose -3*z + 102 = -198. Suppose -f - 4*f = -z. List the prime factors of f. 2, 5 What are the prime factors of (16*1)/((-4)/(-6))? 2, 3 Suppose 4*x - 2*x + 6 = -2*b, -5*b = 15. Suppose 2*z + x*z = 12. Suppose -s - 60 = -z*s. What are the prime factors of s? 2, 3 Let u(z) = z + 2. Let f be u(-2). Let a = 2 + 15. Let b = a + f. What are the prime factors of b? 17 What are the prime factors of ((-142)/3)/(10/(-30))? 2, 71 Suppose 1 = 3*k + 13, -k + 52 = 2*f. List the prime factors of f. 2, 7 What are the prime factors of 180/(5 + -1 + -3)? 2, 3, 5 Let i(h) = h**3 + 4*h**2 - 4*h + 4. Let c be i(-5). Let k be 2 + c*(-2)/1. Suppose 2*u + 3*l = 24, k*u - l = 3*l + 8. List the prime factors of u. 2, 3 Let z(s) be the third derivative of -2*s**3 + 7/60*s**5 + s**2 - 1/120*s**6 + 0 + 5/12*s**4 + 0*s. What are the prime factors of z(8)? 2 Let d = 17 - 6. Let f = d + 9. What are the prime factors of f? 2, 5 Suppose -7*w - 4 = -2*p - 5*w, 0 = -4*p + 5*w + 13. Let b(m) = m**3 + 2*m**2 - 5*m - 4. List the prime factors of b(p). 2 Suppose 54 = 5*t - 281. What are the prime factors of t? 67 Let i(q) = 1. Let a(x) = 18*x**2 + x + 4. Let b(n) = a(n) - 5*i(n). List the prime factors of b(1). 2, 3 Let t = -5 - -78. What are the prime factors of t? 73 Suppose 0*j + 4*w + 20 = 4*j, 16 = 2*j + 4*w. Let d = 0 - j. List the prime factors of (-2)/3 + (-16)/d. 2 Let g be (6 - 2)/(2/(-9)). Let h = 28 + g. Let r = h - 4. List the prime factors of r. 2, 3 Let j be -1 + 3 - (-2)/2. Suppose -j*z - 2 = -29. List the prime factors of z. 3 List the prime factors of 27 - (-2 + (-1 - 1)). 31 Let z = 25 + -13. Suppose -5*u + 37 = z. What are the prime factors of u? 5 Suppose -3*s - 3 = -3*w, -2*w + 2*s + 7 = -s. Let j be 1/(-8)*2*w. List the prime factors of (-1)/((-10)/(-11) - j). 11 Let o = -64 - -98. List the prime factors of o. 2, 17 List the prime factors of -1 - 0 - (-4 - (119 + -4)). 2, 59 Suppose 0 = f - 3*f + 28. List the prime factors of f. 2, 7 Let z(o) = 3*o**2 - 4*o - 3. Let m(p) = -3*p**2 + p. Let i be m(1). What are the prime factors of z(i)? 17 Suppose -4*b = -0*b - 48. List the prime factors of b. 2, 3 Suppose 2*r - 2*g + 592 = 7*r, 0 = -3*r - 5*g + 340. What are the prime factors of r? 2, 3, 5 Let k(n) = -n**3 - 6*n**2 - 4*n - 10. What are the prime factors of k(-6)? 2, 7 Suppose 1435 - 445 = 10*h. List the prime factors of h. 3, 11 Suppose 4 = c - 30. What are the prime factors of c? 2, 17 Let f(m) = -m**3 + 7*m**2 - 7*m + 3. Suppose 6*d = 3*r + 2*d + 5, -3*r - 2*d + 25 = 0. What are the prime factors of f(r)? 2, 3 Let w be (2/2 - (-1)/(-1))/(-2). Suppose -5*i - 2*m - 6 = -20, 4*i = -5*m + 18. Suppose i*f - 24 + 6 = w. List the prime factors of f. 3 Let r = 19 - 10. What are the prime factors of r? 3 Suppose 11*n = -2*n + 2574. List the prime factors of n. 2, 3, 11 Let w = 31 - -176. What are the prime factors of w? 3, 23 Let m(b) = -b**2 - 8*b - 9. Let u be m(-6). Suppose 84 = 3*y + 3*p, 3*p + 41 = -u*y + 5*y. What are the prime factors of y? 5 Suppose 0 = 4*h - 9*h + 125. What are the prime factors of h? 5 Let d = 17 + -41. Let r be (-4)/(-6)*(1 + -4). What are the prime factors of (d/r)/(1 + 1)? 2, 3 Let t be (2 + -1)/(-1) + 2. Suppose 2*j + t = 3. What are the prime factors of (-2)/(27/33 - j)? 11 Suppose 5*v - 10 = 5*c - 30, -2*c = -3*v - 10. Suppose c*h = m + 7, 8*m + 7 = 3*h + 3*m. List the prime factors of h. 2 Let j(g) = g**3 + 8*g**2 + 3*g - 8. Let t be j(-7). List the prime factors of (-4)/t + (-16)/(-5). 3 Let s = 7 - 5. Let u(g) = g**2 - 3*g + 3. Let a be u(s). Let c = a - -6. List the prime factors of c. 7 Suppose z - 55 = 7*m - 3*m, m - 113 = -3*z. What are the prime factors of z? 3, 13 Let a(v) = 2*v - 8. Let w be a(12). Let h = w - 2. List the prime factors of h. 2, 7 List the prime factors of (3836/35)/(2/5). 2, 137 Let r be (5/(-2) - -3)*46. Let u be r + (2 - (-2 + 5)). Suppose -4*d + 3*i + u + 4 = 0, 9 = d - 2*i. List the prime factors of d. 5 Let b = -142 - -218. List the prime factors of b. 2, 19 Let s(l) = l**3 + 3*l**2 + 5*l + 2. Suppose c + 1 = -2. Let w be s(c). Let u = w - -24. List the prime factors of u. 11 Let k(q) = -q**3 + 7*q**2 - 7*q - 8. Let m be k(6). Let z = m - -25. List the prime factors of z. 11 Let y(s) = s**2 - s + 11. Let w be y(0). Suppose 0 = -5*p - 2*r + 31, 3*p + r - w = -4*r. Suppose 0 = -5*t + p + 3. What are the prime factors of t? 2 Suppose -u + 0 = -3. Suppose 2 = -u*x + 4*x. Suppose x*l - 24 = -l. List the prime factors of l. 2 Let g be -1*6/(-2)*-3. What are the prime factors of (2 - g/(-6))*32? 2 Let i = -47 - -86. What are the prime factors of i? 3, 13 What are the prime factors of 168/40 - (-2)/(-10)? 2 Suppose 0 = 5*c - 126 + 41. Suppose -2*w - c = -5. List the prime factors of (1 - w) + (-1 - 1). 5 Let w = 1 - -1. Suppose w = l - 4. List the prime factors of l. 2, 3 Suppose -3*a + 3*z = -42, a - 6*a + 2*z + 61 = 0. List the prime factors of a. 11 Let n = -145 + 254. List the prime factors of n. 109 Let n(c) = -c**3 - 8*c**2 + 3. Let l be n(-8). Suppose l*w + 5*t - 45 = 0, -3*w + 3*t = -2*t - 15. List
{ "pile_set_name": "DM Mathematics" }
the common denominator of 69/3016 and 51/1856. 24128 Calculate the lowest common multiple of 12 and 3052. 9156 Calculate the lowest common multiple of 22528 and 16. 22528 What is the least common multiple of 1719 and 6876? 6876 Calculate the least common multiple of 75 and 296175. 296175 What is the smallest common multiple of 26326 and 22? 289586 Find the common denominator of -2/12573 and -74/315. 440055 Calculate the common denominator of 25/16 and -5/197638. 1581104 What is the common denominator of -35/1424 and -39/368? 32752 What is the common denominator of 145/7752 and -137/7752? 7752 Find the common denominator of 151/10776 and -79/926736. 926736 Calculate the common denominator of 19/140140 and 83/364. 140140 What is the least common multiple of 708 and 552? 32568 What is the common denominator of -45/291856 and 2/17? 291856 What is the least common multiple of 216 and 73464? 661176 Calculate the smallest common multiple of 461178 and 614904. 1844712 What is the lowest common multiple of 315 and 12789? 63945 What is the lowest common multiple of 301821 and 33? 3320031 What is the lowest common multiple of 20304 and 376? 20304 Calculate the common denominator of -97/2448 and 173/18360. 36720 Calculate the common denominator of 31/475072 and -33/9136. 475072 Calculate the smallest common multiple of 693 and 1612765. 14514885 Find the common denominator of 67/1295 and -1/1001. 185185 Calculate the least common multiple of 381576 and 7338. 381576 What is the lowest common multiple of 412112 and 9584? 412112 Find the common denominator of -83/8 and 121/473838. 1895352 Find the common denominator of -47/1110 and 143/107670. 107670 What is the lowest common multiple of 490 and 1079? 528710 Find the common denominator of 1/635532 and 31/1694752. 5084256 Find the common denominator of -25/38094 and -115/12. 76188 Calculate the smallest common multiple of 813 and 11052. 2995092 Calculate the least common multiple of 65182 and 2507. 65182 Calculate the least common multiple of 7372 and 50. 184300 What is the least common multiple of 4 and 51278? 102556 What is the common denominator of -121/48 and -13/7584? 7584 Calculate the common denominator of 1/190 and 1/39560. 751640 Find the common denominator of 41/1472 and -21/593032. 4744256 Calculate the lowest common multiple of 4 and 66542. 133084 Calculate the common denominator of 113/20 and 97/24920. 24920 What is the smallest common multiple of 177506 and 38037? 532518 What is the lowest common multiple of 4107 and 63? 86247 What is the smallest common multiple of 48128 and 768? 144384 Find the common denominator of -11/50428 and -32/35. 252140 What is the least common multiple of 21333 and 8? 170664 What is the least common multiple of 214 and 15836? 15836 Calculate the common denominator of 139/12750 and 5/68. 25500 What is the least common multiple of 150976 and 150976? 150976 What is the lowest common multiple of 17272 and 18? 155448 Find the common denominator of -133/18414 and -77/930. 92070 What is the common denominator of 107/756 and -53/8388? 176148 What is the smallest common multiple of 828443 and 53? 828443 What is the smallest common multiple of 266152 and 299421? 2395368 Calculate the lowest common multiple of 4246 and 240. 509520 Calculate the least common multiple of 1479 and 28. 41412 Calculate the smallest common multiple of 480 and 19860. 158880 Calculate the least common multiple of 47600 and 2786. 9472400 Calculate the least common multiple of 51770 and 8060. 1346020 Find the common denominator of -2/4521 and -49/12056. 36168 What is the common denominator of 76/2871 and -85/84? 80388 What is the lowest common multiple of 1755 and 4095? 12285 Calculate the smallest common multiple of 560 and 12880. 12880 Find the common denominator of -97/47604 and -54/35. 1666140 Find the common denominator of -71/60235 and -19/5. 60235 What is the lowest common multiple of 312210 and 572385? 3434310 What is the lowest common multiple of 70 and 3332? 16660 What is the least common multiple of 2073 and 4146? 4146 What is the lowest common multiple of 12645 and 37935? 37935 Find the common denominator of -17/1287 and 74/13449. 5769621 Calculate the common denominator of 10/9563 and -8/129297. 9438681 What is the common denominator of 41/258 and 131/97254? 4181922 Calculate the common denominator of -89/56992 and 73/25208. 1310816 Calculate the common denominator of -41/584 and 85/138. 40296 Calculate the lowest common multiple of 2250001 and 10181. 2250001 Find the common denominator of -13/18102 and -64/9. 54306 What is the least common multiple of 186 and 93366? 2894346 What is the common denominator of 79/149799 and 62/541581? 7040553 What is the lowest common multiple of 679491 and 11? 7474401 What is the common denominator of -26/847497 and -121/1210710? 8474970 What is the common denominator of 99/200512 and 59/701792? 1403584 What is the least common multiple of 256 and 1796? 114944 What is the lowest common multiple of 2 and 7085? 14170 Calculate the common denominator of -39 and 40/2583. 2583 Calculate the least common multiple of 4 and 44. 44 What is the common denominator of 33/17 and 145/38964? 38964 Calculate the common denominator of -99/55610 and -65/22244. 111220 Calculate the lowest common multiple of 67920 and 480. 135840 Calculate the common denominator of 91/6 and -87/10678. 32034 Calculate the common denominator of -23/219 and -31/22155. 1617315 Calculate the smallest common multiple of 17860 and 684. 160740 What is the lowest common multiple of 4515 and 29799? 148995 What is the smallest common multiple of 17018 and 697738? 697738 What is the common denominator of -53/28518 and 61/183330? 1283310 What is the common denominator of -139/4020 and -95/1474? 44220 Find the common denominator of -125/22608 and -53/1884. 22608 What is the least common multiple of 17754 and 7263? 159786 Calculate the common denominator of 63/20 and -34/46435. 185740 Find the common denominator of -117/41410 and 39/50. 207050 What is the least common multiple of 4570 and 2742? 13710 Calculate the smallest common multiple of 413640 and 153200. 4136400 Find the common denominator of 47/9696 and -7/80. 48480 Calculate the smallest common multiple of 2562 and 2639. 965874 What is the least common multiple of 14 and 351854? 2462978 Calculate the smallest common multiple of 747 and 45. 3735 What is the smallest common multiple of 250767 and 14751? 250767 Find the common denominator of -17/11589 and -31/27. 104301 Calculate the least common multiple of 20 and 1135160. 1135160 What is the least common multiple of 30 and 250200? 250200 Calculate the common denominator of -29/32580 and 34/27. 97740 Find the common denominator of -41/273 and -45/3926. 82446 Calculate the lowest common multiple of 22278 and 11613. 1091622 Calculate the common denominator of 55/31932 and -31/10. 159660 What is the least common multiple of 312 and 524? 40872 What is the common denominator of -123/1171730 and 46/1288903? 12889030 What is the least common multiple of 7574 and 3682? 1991962 What is the least common multiple of 121 and 20240? 222640 Find the common denominator of -17/246140 and -151/369210. 738420 Calculate the lowest common multiple of 140 and 1414. 14140 Find the common denominator of -46/2739 and 9/3652. 10956 What is the least common multiple of 132 and 1527420? 16801620 What is the smallest common multiple of 5508 and 5508? 5508 What is the lowest common multiple of 826 and 504? 29736 What is the common denominator of -169/360 and 95/5328? 26640 What is the common denominator of 79/84480 and -157/21120? 84480 Calculate the least common multiple of 1 and 932311. 932311 What is the common denominator of 23/12904 and -91/6452? 12904 What is the smallest common multiple of 8 and 1040019? 8320152 Find the common denominator of -1/170 and 89/880. 14960 What is the smallest common multiple of 578 and 84048? 1428816 Calculate the common denominator of -23/2405 and 16/533. 98605 What is the lowest common multiple of 928 and 8468? 67744 Calculate the least common multiple of 924 and 308. 924 Find the common denominator of -3/1450 and -19/654095. 6540950 Calculate the common denominator of 111/18704 and -107/303
{ "pile_set_name": "DM Mathematics" }
11/3 = 0? -1/14, 22 Factor 4*g**3/5 - 1188*g**2/5 + 89964*g/5 - 259308/5. 4*(g - 147)**2*(g - 3)/5 Factor -2*s**3 - 1164*s**2 + 2334*s - 1168. -2*(s - 1)**2*(s + 584) Let 4*s**4 + 408*s**3 + 804*s**2 + 400*s = 0. What is s? -100, -1, 0 Factor -2*b**2/3 - 88*b/3 + 30. -2*(b - 1)*(b + 45)/3 Factor 2*q**5/13 - 270*q**3/13 - 540*q**2/13 + 9720*q/13 + 34992/13. 2*(q - 9)**2*(q + 6)**3/13 Factor -2*v**2 - 8*v/7. -2*v*(7*v + 4)/7 Determine z so that z**2/8 + 777*z/4 - 389 = 0. -1556, 2 Factor 4*x**3 + 16*x**2 + 12*x. 4*x*(x + 1)*(x + 3) Let -k**2 - 42*k - 41 = 0. What is k? -41, -1 Determine l, given that 5*l**5 - 5*l**4 - 25*l**3 + 25*l**2 + 20*l - 20 = 0. -2, -1, 1, 2 Find w such that -4*w**5/7 - 12*w**4 - 432*w**3/7 = 0. -12, -9, 0 Factor -12*k**3/7 - 1143*k**2/7 - 285*k/7. -3*k*(k + 95)*(4*k + 1)/7 Find r, given that -12*r**5 - 116*r**4 - 104*r**3 + 528*r**2 + 608*r - 256 = 0. -8, -2, 1/3, 2 Determine l, given that 14*l**5/3 + 220*l**4/3 - 64*l**3/3 = 0. -16, 0, 2/7 Solve 160*v**2 + 44*v - 8 = 0 for v. -2/5, 1/8 Suppose 5*n**5 - 60*n**4 - 220*n**3 + 2400*n**2 + 8000*n = 0. What is n? -4, 0, 10 Factor 3*t**4 + 444*t**3 + 426*t**2 - 2196*t + 1323. 3*(t - 1)**2*(t + 3)*(t + 147) Factor 12*f**4 + 51*f**3 - 912*f**2 - 231*f. 3*f*(f - 7)*(f + 11)*(4*f + 1) Find h such that -3*h**4/4 - 33*h**3/4 - 18*h**2 + 27*h = 0. -6, 0, 1 Factor -s**2/3 + 23*s/3 + 376. -(s - 47)*(s + 24)/3 Factor 3*c**2 + 147*c + 774. 3*(c + 6)*(c + 43) Factor -4*m**3 + 8*m**2 + 116*m + 168. -4*(m - 7)*(m + 2)*(m + 3) Factor 3*r**3 - 255*r**2 - 519*r - 261. 3*(r - 87)*(r + 1)**2 Factor 5*x**3 + 790*x**2 - 1595*x + 800. 5*(x - 1)**2*(x + 160) Solve 78*y**2/5 + y/5 = 0 for y. -1/78, 0 Determine d, given that -3*d**3 + 1770*d**2 - 3528*d = 0. 0, 2, 588 Factor 2*n**3 - 40*n**2 - 42*n. 2*n*(n - 21)*(n + 1) Determine g so that g**3/7 + 58*g**2/7 + 16*g = 0. -56, -2, 0 Find l, given that -2*l**3/9 + 10*l**2/9 - 8*l/9 = 0. 0, 1, 4 Factor q**3 + 3*q**2 - 10*q. q*(q - 2)*(q + 5) Factor 2*v**3 - 54*v**2 + 192*v - 184. 2*(v - 23)*(v - 2)**2 Solve -3*z**2/5 - 231*z + 3492/5 = 0 for z. -388, 3 Suppose -4*b**2 - 28*b = 0. What is b? -7, 0 Factor 2*i**3 + 58*i**2 - 560*i + 1184. 2*(i - 4)**2*(i + 37) Let 36*m**5/5 + 1308*m**4/5 + 5152*m**3/5 + 5168*m**2/5 + 1536*m/5 = 0. What is m? -32, -3, -2/3, 0 Find j such that j**5/3 + 8*j**4/3 - 32*j**3/3 + 14*j**2/3 + 31*j/3 - 22/3 = 0. -11, -1, 1, 2 Solve 14*y**3/5 + 18*y**2/5 - 62*y/5 + 6 = 0. -3, 5/7, 1 Factor r**3/2 + 11*r**2/2 + 13*r + 8. (r + 1)*(r + 2)*(r + 8)/2 Determine i so that 4*i**5 + 68*i**4 + 376*i**3 + 704*i**2 - 128*i - 1024 = 0. -8, -4, -2, 1 Factor -2*n**2/5 + 2*n/5 + 12. -2*(n - 6)*(n + 5)/5 Solve 2*f**4/17 - 228*f**3/17 + 7144*f**2/17 - 2160*f + 46656/17 = 0 for f. 2, 4, 54 Factor -4*c**4 - 432*c**3 + 1324*c**2 - 888*c. -4*c*(c - 2)*(c - 1)*(c + 111) Let -36*c**4 - 172*c**3 + 1552*c**2 + 4848*c - 1152 = 0. Calculate c. -8, -3, 2/9, 6 Factor 2*j**3 + 396*j**2. 2*j**2*(j + 198) Find r such that -2*r**5 + 40*r**4 - 96*r**3 - 116*r**2 + 226*r + 204 = 0. -1, 2, 3, 17 Factor -f**2/3 + 17*f/3 + 38/3. -(f - 19)*(f + 2)/3 Factor -4*d**4 + 92*d**3 - 393*d**2 + 612*d - 324. -(d - 18)*(d - 2)*(2*d - 3)**2 What is b in -2*b**4 - 4*b**3 + 14*b**2 - 8*b = 0? -4, 0, 1 Factor -v**5/8 + v**4/2 - 3*v**3/8. -v**3*(v - 3)*(v - 1)/8 Find v such that -v**2 + 3*v + 270 = 0. -15, 18 Factor -2*k**2 - 1844*k - 425042. -2*(k + 461)**2 Suppose 60*k**4 - 219*k**3 + 288*k**2 - 159*k + 30 = 0. What is k? 2/5, 1, 5/4 Factor -4*w**5 - 20*w**4 - 24*w**3 + 8*w**2 + 28*w + 12. -4*(w - 1)*(w + 1)**3*(w + 3) Solve -8*a**4/17 - 50*a**3/17 + 54*a**2/17 + 74*a/17 - 70/17 = 0 for a. -7, -5/4, 1 Determine j, given that -j**5/5 + 4*j**4/5 - 6*j**3/5 + 4*j**2/5 - j/5 = 0. 0, 1 Solve 4*k**3 + 144*k**2 - 156*k - 296 = 0 for k. -37, -1, 2 Let -2*a**5/11 + 14*a**4/11 + 2*a**3 - 46*a**2/11 - 20*a/11 + 32/11 = 0. Calculate a. -2, -1, 1, 8 Solve 3*c**2 - 60*c = 0. 0, 20 Factor -5*g**5 + 55*g**4. -5*g**4*(g - 11) Solve -f**5 + 42*f**4 - 481*f**3 + 840*f**2 - 400*f = 0. 0, 1, 20 Factor 4*c**2 + 264*c - 544. 4*(c - 2)*(c + 68) Find z, given that 13*z**2/4 - 7*z/4 - 5 = 0. -1, 20/13 Suppose b**4/5 - 21*b**3 - 431*b**2/5 - 543*b/5 - 218/5 = 0. What is b? -2, -1, 109 Factor -x**5/4 - 2*x**4. -x**4*(x + 8)/4 Suppose -3*b**2/5 - 24*b - 105 = 0. What is b? -35, -5 Factor 5*p**2 + 40*p + 80. 5*(p + 4)**2 Find g such that 3*g**3/2 - 555*g**2/2 + 1887*g - 3204 = 0. 3, 4, 178 Let 3*s**3 - 18*s**2 - 81*s + 420 = 0. What is s? -5, 4, 7 Let d**2/4 - 14*d - 57/4 = 0. What is d? -1, 57 Solve -4*w**2 + 340*w + 344 = 0. -1, 86 Factor -6*x**4 + 44*x**3 - 38*x**2. -2*x**2*(x - 1)*(3*x - 19) Determine i, given that 8*i**4 + 76*i**3 + 148*i**2 + 56*i = 0. -7, -2, -1/2, 0 What is h in -2*h**2 + 12596*h - 19832402 = 0? 3149 Factor -3*q**3 + 570*q**2 - 1131*q + 564. -3*(q - 188)*(q - 1)**2 Factor -a**2/4 - 21*a - 83/4. -(a + 1)*(a + 83)/4 Factor -3*w**4 + 39*w**2 + 36*w. -3*w*(w - 4)*(w + 1)*(w + 3) Suppose -20*a**4 - 15*a**3 = 0. Calculate a. -3/4, 0 Factor 2*p**3/5 - 276*p**2/5 + 814*p/5 - 108. 2*(p - 135)*(p - 2)*(p - 1)/5 Factor 5*o**5 - 510*o**4 + 505*o**3. 5*o**3*(o - 101)*(o - 1) Find a such that 2*a**3 - 4*a**2 - 8*a + 16 = 0. -2, 2 Find y such that 3*y**2/7 - 633*y/7 + 1254/7 = 0. 2, 209 Factor -3*k**2 - 3*k + 90. -3*(k - 5)*(k + 6) Factor -4*j**2 + 208*j - 2704. -4*(j - 26)**2 Factor -2*k**2/3 + 14*k + 260/3. -2*(k - 26)*(k + 5)/3 What is x in 2*x**2 + 912*x + 103968 = 0? -228 Determine k so that -3*k**4 + 87*k**3 - 792*k**2 + 2160*k = 0. 0, 5, 12 Let 2*r**4/11 + 628*r**3/11 + 624*r**2/11 - 628*r/11 - 626/11 = 0. Calculate r. -313, -1, 1 Factor l**2/6 + l/3 - 35/6. (l - 5)*(l + 7)/6 Determine k so that -2*k**4 + 14*k**3 - 12*k**2 = 0. 0, 1, 6 Factor -r**3/6. -r**3/6 Determine j so that -2*j**5 + j**4 + 8*j**3 + 5*j**2 = 0. -1, 0, 5/2 Factor -2*o**2/7 + 192*o - 32256. -2*(o - 336)**2/7 Let -z**2/8 + 1515*z/8 + 379/2 = 0. Calculate z. -1, 1516 What is q in -3*q**4/7 + 12*q**3/7 + 96*q**2/7 = 0? -4, 0, 8 Find z such that -4*z**5/3 = 0. 0 Suppose -2*h**4/13 - 22*h**3/13 - 40*h**2/13 + 64*h/13 = 0. Calculate h. -8, -4, 0, 1 Let 4*h**3/5 + 24*h**2/5 + 44*h/5 + 24/5 = 0. What is h? -3, -2, -1 Suppose 2*a**3/3 + 338*a**2/9 + 12*a - 224/9 = 0. What is a? -56, -1, 2/3 Suppose 3*g**5/4 + 357*g**4/4 + 171*g**3/2 - 357*g**2 - 354*g = 0. What is g? -118, -2, -1, 0, 2 Factor 5*h**3 - 45*h**2 + 30*h + 80. 5*(h - 8)*(h - 2)*(h + 1) Find w, given that -2*w**2/9 - 16*w/9 - 14/9 = 0. -7, -1 Factor 2*g**3 - 1000*g**2 + 125000*g. 2*g*(g - 250)**2 Factor k**3/2 + 15*k**2/4 - 29*k/4 - 9/2. (k - 2)*(k + 9)*(2*k + 1)/4 Factor -r**2/3 + 341*r/3 - 340/3. -(r - 340)*(r - 1)/3 Determine j, given that 2*j**2/5 - 206*j/5 + 404/5 = 0. 2, 101 Factor -4*g**4 - 2456*g**3 + 7392*g**2 - 7400*g + 2468. -4*(g - 1)**3*(g + 617) Factor -81*j**3/4 - 279*j**2/2 - 112*j - 24. -(j + 6)*(9*j + 4)**2/4 What is x in -10*x**3/9 - 52*x**2/3 - 24*x + 112/9 = 0? -14, -2, 2/5 Find u such that u**2/4 - 35*u/2 + 1225/4 = 0. 35 Factor -y**2/11 - 303*y/11 - 900/11. -(y + 3)*(y + 300)/11 Solve 2*p**2/21 + 3392*p/21 - 2264/7 = 0. -1698, 2 Factor -m**5/4 - 17*m**4/4 - 63*m**3/4 + 81*m**2/4. -m**2*(m - 1)*(m + 9)**2/4 Determine m so that 5*m**5/2 - 65*m**4/2 - 120*m**3 + 2150*m**2 - 2000*m = 0. -8, 0, 1, 10 Solve 5*g**5 + 120*g**4 + 240*g**3 - 6250*g**2 + 4875*g + 11250 = 0. -15, -1, 2, 5 Factor -2*i**2/9 - 22*i/3 + 380/9. -2*(i - 5)*(i + 38)/9 Factor -p**2 + 4018*p. -p*(p - 4018) Determine i, given that 2*i**5/9 - 16*i**4/9 - 46*i**3/9 + 52*i**2/9 + 88*i/9 - 80/9 = 0. -2, 1, 10 Find g, given that -2*g**2 + 160*g - 608 = 0. 4, 76 Find d such that -2*d**2/3 + 26*d/3 = 0. 0, 13 Find y, given that -y**2 + 200*y + 404 = 0. -2, 202 Factor -5*t**4 + 220*t**3 - 2625*t**2 + 4410*t. -5*t*(t - 21)**2*(t - 2) What is s in 3*s**4/4 - 870*s**3 + 378450*s**2 - 73167000*s + 5304607500 = 0? 290 Factor 2*z**4/9 - 4*z**3/9 - 64*z**2/9 - 20*z/3 + 14. 2*(z - 7)*(z - 1)*(z + 3)**2/9 Suppose -o**3/3 - o**2/3 + 17*o/3 - 5 = 0. Calculate o. -5, 1, 3 Factor -14*p**3/9 + 80*p**2/9 + 122*p/9 + 28/9. -2*(p - 7)*(p + 1)*(7*p + 2)/9 Factor 43245*s**2 + 1860*s + 20. 5*(93*s + 2)**2 Factor -4*n**5/3 - 16*n**4/3 + 92*n**3/3 + 152*n**2/3 - 880*n/3 + 800/3. -4*(n - 2)**3*(n + 5)**2/3 Factor -2*y*
{ "pile_set_name": "DM Mathematics" }
d(4). Which is the nearest to p? (a) v (b) -2 (c) j c Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1 a Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3 a Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13 - j. Which is the nearest to -2? (a) f (b) w (c) 2/5 a Let v = 3.1 - 3.5. Which is the nearest to -0.1? (a) v (b) 4 (c) -2/7 c Let q = -4.08 + 0.08. Let y = 54 - 53.7. Which is the closest to 2/5? (a) y (b) 0.2 (c) q a Let u(m) = -3*m + 1. Let g be u(-1). Let w = 6 - 5.6. Let p be 17/(-5) + 1 - -2. Which is the closest to -2/9? (a) g (b) w (c) p c Let b = 11 - 15. What is the nearest to 0 in -5, b, 0.1? 0.1 Let o(a) = a**2 + 4*a - 4. Let l be o(-4). Let y = -119/1725 - -11/115. Let v = 28/75 + y. What is the nearest to v in 0.4, 4, l? 0.4 Let g = 4.04 - 0.04. Let j = -0.2 - 3. Let d = 3 + j. What is the closest to 0 in d, g, -0.4? d Let v = -1.3 - -1.5. Which is the closest to 1? (a) 0.5 (b) v (c) -1/6 a Let a be (3 + 145/(-50))/1. What is the closest to 0.5 in -0.3, a, 1/8? 1/8 Let x = -0.1 - 0.4. Let y = x + 0.1. Let j = y + 0.8. Which is the closest to -1? (a) -2/5 (b) 2 (c) j a Let r be ((-67)/(-2))/((-3)/(-2)). Let n = r + -22. Let t = 2 + -1.5. Which is the closest to n? (a) t (b) 3 (c) -2/11 a Let v = 4 - 3. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.2 b Let y = 7 + -10. Let p = 247/2865 - -9/191. What is the nearest to 2/5 in y, 0.2, p? 0.2 Let y = -0.33 - -0.13. Let d = -8 - -7.6. What is the nearest to 0.4 in y, d, 2/5? 2/5 Let t = 2.5 - 2. Let b = -0.21 - -14.21. Let c = b + -14.2. What is the nearest to 0.1 in c, t, 2? c Let v be (-10)/(-24) - 1/(-4). Let d be 0 + ((-10)/(-8) - 1). Which is the closest to v? (a) d (b) -0.3 (c) -1/3 a Let q be (-2)/2*1/(-3). Let v = -0.5 - -1. Let p = -0.3 + v. What is the closest to q in p, -2, -3? p Let o = 0.14 - 0.04. Let j be 92/20 + (-4)/(-10). Let s = -24 - -23.8. Which is the closest to o? (a) s (b) j (c) -0.1 c Let m = 11 - 12. Which is the closest to 5? (a) m (b) 0.5 (c) -4/7 b Let u be (-278)/42 + (-4)/(-14). Let l = u - -7. Let d = 20 - 17. Which is the closest to l? (a) 0.3 (b) 0 (c) d a Suppose -2*g + 50 = 5*y, -5*y + 3*y = -3*g - 1. Which is the closest to -1/2? (a) 0.4 (b) 1/12 (c) y b Let j = -4.5 - -5. Let h = -0.5 + j. Let q = -3 - -2.5. What is the nearest to h in 0.3, 1/6, q? 1/6 Let f be 1 - 2/((-372)/(-314)). Let p = -2/93 - f. What is the closest to -0.5 in p, -3/5, -4? -3/5 Let n = -5.74 - 0.26. Which is the closest to -1? (a) -0.5 (b) n (c) -4 a Let k be 19/(-45) + (-14)/(-63). What is the nearest to -0.1 in -1, k, 0.3? k Suppose t = 3*t + 6. Let r be 6/(-10)*(-8)/6. Which is the nearest to -0.1? (a) -0.1 (b) t (c) r a Let x be (-3 - (0 - 2)) + 49/21. Which is the nearest to -0.1? (a) x (b) -2/11 (c) 0.4 b Let u = 3.23 - 3.1. Let m = u + 4.87. Let g = 0 + m. What is the closest to -2/3 in -1/2, g, -5? -1/2 Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s? s Let z = 0.1 - 0.1. Which is the closest to z? (a) -0.5 (b) 2/7 (c) -1 b Let m be (-2)/(-3)*1*3. Suppose 4*h + 20 = 0, m*y + 3*y + 5*h - 105 = 0. Let n be y/(-42) - (-1)/3. What is the nearest to 2/9 in 1/8, 1/3, n? 1/8 Let t = -11.8 + 6.8. What is the nearest to 3 in 0.1, 1/2, t? 1/2 Let q = 0 + 0. Let t = 0.2 + q. Let k = t + -0.1. What is the nearest to k in -1, 1/4, -1/5? 1/4 Let m = 0.015 - -3.985. Which is the closest to -1? (a) 5 (b) m (c) 0.03 c Suppose -5*p = -10*p + 5. What is the nearest to p in 0, -0.2, -0.5? 0 Let m = -1 - -4. What is the closest to 1 in m, 5, 4? m Let x = 26 + -16. Let w = 9 + -15. Let l = x + w. Which is the closest to 0? (a) -2 (b) l (c) 3/5 c Let g be -9*(-1)/6*(-4)/6. Which is the nearest to 1? (a) -3/4 (b) 0.2 (c) g b Let d be (-72)/126 + 10/(-56). Let y = -1 + 3. Which is the closest to -0.1? (a) -1/5 (b) y (c) d a Let h = 1.7 - -1.3. What is the closest to h in 1/3, -1/6, -2/9? 1/3 Let n = 7/33 + 5/11. Let l = 0.7 + -0.4. Let o = -1.2 - -1. Which is the nearest to n? (a) -2 (b) l (c) o b Let x be 4/20 - (-2)/90. Let y = 1.94 + 0.06. Let h = -0.9 - -1.3. Which is the nearest to 0? (a) x (b) h (c) y a Let y = -25 - -123/5. What is the nearest to 2.4 in -3, -2, y? y Let z(t) = -t - 4. Let q be z(-3). Let w = -0.483 + 0.083. What is the nearest to 2/3 in 4, q, w? w Let a = 9 + -8. Suppose 0 = 3*x + t - a, 0*t + 2*t - 10 = 2*x. Let z be (1 - x)/(-1 - -2). What is the closest to -1 in z, -5, 1? 1 Let p = 1.3 - 2.6. Let n = p + 0.3. What is the closest to 1/4 in -0.1, -1/4, n? -0.1 Let g be 16/(-18)*(-3)/(-4). Let c = 2 - 1.9. What is the closest to c in 2/3, g, 2? 2/3 Let k = -1 - -3. Let d = 3.4 + 0.6. Let w = k - d. Which is the closest to w? (a) 1/5 (b) 0.5 (c) 2/9 a Let o = -1.3 - -1.2. Let i = 0.3 - 0.4. Which is the closest to o? (a) 0.1 (b) 1 (c) i c Let l be (-8)/6*21/(-154). Let y be (-12)/20 + 51/60. What is the nearest to y in -3, -0.2, l? l Let r = 0 + 0.1. Let w = -0.03 - 0.07. Which is the closest to w? (a) r (b) 0.4 (c) -5 a Let s = 0.5 + -0.9. Let f = -0.1 - 0.5. Let y = -0.4 + f. Which is the nearest to y? (a) -3 (b) s (c) -0.2 b Suppose i + 81 = 68. What is the nearest to i in 2, 2/21, -1? -1 Let f = -5/3 + 19/15. Let d = f + -21/10. Let i = -0.24 - -0.34. What is the closest to 0 in i, -0.4, d? i Let p = 0.12 - 0.12. Which is the nearest to p? (a) -2 (b) -10/3 (c) -1/4 c Let s = 196.62 - 197. Which is the nearest to 0.1? (a) -2 (b) 0 (c) s b Let z = 1.4 + -1. Let s = 0.5 - z. Which is the closest to 1/2? (a) -4 (b) 2/7 (c) s b Let z = 0.23 + 1.77. What is the closest to 1 in 3, 4, z? z Let k = -0.3 - -0.2. Let o = 0.7 + 4.3. Let i = -197/665 + 1/95. Which is the nearest to i? (a) k (b) o (c) 3 a Let t(q) = -5*q**3 + q + 1. Let v be t(-1). Let r = -0.3 - -0.4. Let m = r - 0.3. What is the closest to m in 0.4, v, 0? 0 Let p = 4 - 0. Let u = p - 3.9. Let i = -0.1 + u. Which is the closest to -0.1? (a) -1/3 (b) i (c) -3 b Let z = 1/158 + -167/1422. Let m = -4.6 - -5. Let u = 82/3 - 27. Which is the nearest to -2/5? (a) z (b) m (c) u a Suppose 0 = -2*o + 2*c - 20, -o - 15 = -2*c. Let m = o + 7. What is the nearest to -2 in -0.3, m, 3? -0.3 Suppose -2*d - 3 = -d. Let w be (2/9)/((-2)/d). Which is the nearest to 0? (a) -2 (b) w (c) -0.2 c Let k = 0.8 - 3.8. Let v(u) = u**2 - 6*u + 5. Let t be v(5). Let g = -188 + 1318/7. What is the nearest to g in 3, k, t? t Let m = 2 + 1. Let g = -6 + m. What is the nearest to -2/3 in g, 2, 0? 0 Let p = 3 + -2.6. Let z = p + -4.4. Let i = 83/387 - -1/129. What is the nearest to 0 in z, -0.1, i? -0.1 Let z = 6 + -1. Let s = -23.1 + 23. What is the nearest to s in 1/2, -4, z? 1/2 Let q = 119 + -597/5. Which is the closest to q? (a) 1 (b) 0.5 (c) 2/21 c Let q = 7 - 6.7. Let d = q - 2.3. Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) d b Let d = -4.9 - -0.9. Let f = d + 2. Let y be (30/4)/3 + -3. Which is the closest to y? (a) 3 (b) -0.3 (c) f b Let l be 3/(-15)*-1 + 89/5. Which is the nearest to 0? (a) 0 (b) -1/10 (c) l a Let z = 6 + -3. Let g = 4 - z. Let h = -4 + 7. Which is the closest to 2/3? (a) h (b) g (c) 1/5 b Let u be (3/(-2))/((-14)/(-93)). Let w = u - -41/4. Which is the nearest to w? (a) 5 (b) 1/4 (c) 1 b Let y = 0.91 + 0.09. Let r = -2 - -1.9. What is the nearest to y in 4, 0, r? 0 Suppose 4*t - 24 = -5*m - 0, 5*m - 12 = -2*t. Suppose -3*p + 0*p = t. What is the nearest to -3 in -0.2, p, 0.5? p Let y = -23 - 5. Let p = y - -23. Let r = 1.98 - -0.02. Which is the nearest to r? (a) 1 (b) -0.3 (c) p a Let h be -6 + 6/(2 - 0). Let k be (9/6)/(h/8). Let z = -0.1 + -0.1. What is the nearest to -2/3 in k, 0.5, z? z Let l = 0.168 + -0.068. Let p = 11 - 6. What is the closest to l in p, -5, -4? -4 Let g = -91 + 91.4. Which is the closest to 6/5? (a) 0.5 (b) -2 (c) g a Let o be ((-5)/(-10))/(-1 - -2). Suppose 7*s = -2*g + 2*s - 5, -4*g = -3*s - 3. Let u be ((-4)/70)/(3/(-15)). Which is the nearest to g? (a) 4 (b) u (c) o b Let h be (-1)/3 + (-3)/(-6). Let r = -5 + 6. Which is the nearest to 2? (a) r (b) h (c) -1 a Suppose -3*y + 6 = -z, -z - 2*z = -2*y - 3. L
{ "pile_set_name": "DM Mathematics" }
j - 8)*(2*j**3 + 3 - 3) to the form b*j**3 + r*j**4 + c + o*j**2 + g*j and give r. 2048 Rearrange -12363*s**2 + 3*s**3 - 118 + 12363*s**2 + 2*s - 2*s to the form t*s**3 + n*s + c*s**2 + k and give t. 3 Rearrange -100*h - 49 + 53*h + 46 - h**4 + 47*h - 84*h**2 to the form y*h**4 + m*h**2 + o*h**3 + k*h + a and give y. -1 Rearrange (9 + 4*w - 9)*(2 + 0 - 3 - 19 + 25 - 16 - 3 + 6 - 4 + (-1 + 5 - 5)*(-4 + 2 + 1) + 1 - 2 - 1) to s*w + n and give s. -52 Express -2*g - 1 + 1 + (0*g - g + 0*g)*(-1 + 1 + 2) + (-321*g + 159*g + 535*g)*(-2 - 2 + 3) as o + d*g and give d. -377 Express -11*p**3 - 77 + 76 + 0*p + 3*p in the form s*p**3 + g + i*p + o*p**2 and give s. -11 Rearrange -15 - 14 + 258*a**2 + 29 to z*a + c + u*a**2 and give u. 258 Rearrange -1080*n**3 + 539*n**3 + 1 + 76*n**4 + 542*n**3 + 2*n**4 to the form k*n + i*n**4 + q*n**3 + f + v*n**2 and give f. 1 Express (d + 0 + 0)*(299*d - 182*d + 247*d)*(2 - 3 + 0) in the form b + l*d + z*d**2 and give z. -364 Rearrange 13*w - 23*w - 7 + 48 - 112 to the form j*w + q and give j. -10 Rearrange -978*z - 21*z**2 + 488*z + 2*z**3 + 492*z to the form l*z**3 + n*z + k*z**2 + v and give l. 2 Rearrange (3 - 2*x**2 - 3)*(-900*x - 1399*x - 1048*x) to the form l*x + w + s*x**2 + c*x**3 and give c. 6694 Express -40 + 26*o + 28*o - 57*o as i*o + d and give d. -40 Express -111*b**2 + 8*b**2 - 68*b**2 + 26*b**2 in the form r*b**2 + k*b + q and give r. -145 Rearrange (-7*d + 3*d + d - 6)*(0*d + 5*d - 3*d) to the form r*d**2 + c*d + n and give r. -6 Rearrange 1162*p - 26150 + 26150 to l + o*p and give o. 1162 Express 5*i + 2*i**2 - 5*i + (-1 + 2*i + 1)*(-4*i + 2*i + 3*i) + (-i + 10*i + 2*i)*(10 + 7 + 5)*(4*i - 3*i + 3*i) + i + i**2 - i as v + r*i**2 + a*i and give r. 973 Rearrange -2*g**4 - 28319 + 28319 + g**2 + 7*g to the form z + r*g**2 + n*g**3 + u*g**4 + c*g and give u. -2 Express (0 + y - 3 + 6)*(1 + 1 + 2) + (-8 + 0 - 5)*(2*y - y + 0*y) as x*y + i and give x. -9 Rearrange (2 - 2 - 3*h)*(2 - 3 - 6)*(-3 + 5 - 13)*(2 + 0 + 1) to the form a + b*h and give b. -693 Express (3*g - 2 + 5 - 1)*(13*g - 21*g + 12*g)*(0 - 3 + 2)*(9 + 4 - 2) as t + i*g**2 + h*g and give h. -88 Express (c + c - c)*(-c - c + 4*c) + (40*c - 13*c - 12*c)*(-3 + 3 - 2*c) + (-16 + 0*c + 2*c - 5)*(c + 2 - 2) in the form l + a*c**2 + m*c and give m. -21 Rearrange 19*s**3 + 2*s - 3 - 5*s**3 + 6 to l*s**3 + k*s**2 + g + m*s and give g. 3 Rearrange (-2*n + n - n)*(-248 + 248 + 93*n + 0*n - 2*n + 3*n + (2*n - 4*n + n)*(-6 + 3 + 1)) - 20 - 9*n**2 + 20 to u*n + d + m*n**2 and give m. -201 Rearrange 6*w + 0*w - 3*w + (2*w - 27*w + w)*(-1 + 1 + 1) to the form k + r*w and give r. -21 Express 2*x - 14 + 14 + (-3 + 4 - 3)*(-x - 4*x + 3*x) in the form h + o*x and give o. 6 Rearrange (-1 + z + 1)*(-143 - 576 + 64) to h*z + t and give h. -655 Rearrange 419256*o**3 - 419260*o**3 + 2*o - o + 3 - o + o**2 to z*o**3 + d*o + h + n*o**2 and give h. 3 Rearrange -2419 + 2419 - 1864*x to p*x + w and give w. 0 Express (124 - 364*r + 363*r + 15)*(-1 + 3 - 3)*(-3*r + 6*r - r) as c*r + h*r**2 + n and give c. -278 Rearrange (-1 + 1 + 9)*(3*n - 6*n + n)*(28 + 6 - 5)*(3*n + 0*n + 0*n) to the form p*n + c + g*n**2 and give g. -1566 Rearrange 2*a**4 + 3*a**3 + a**3 - 381 + 384 to the form j*a**3 + m*a**2 + t*a + w + y*a**4 and give w. 3 Express 2 - 2*q**3 + 20784*q**4 + q - 20797*q**4 - q**2 + 0*q**2 in the form k*q + t + i*q**3 + r*q**4 + v*q**2 and give v. -1 Express (33 + 64 + 50)*(3*u**3 + 0*u**3 + 4*u**3) as z + r*u + t*u**3 + x*u**2 and give t. 1029 Express (-313*u**3 + 81*u**3 + 68*u**3)*(-4 + 4 - 2)*(2*u + u + u) in the form b + w*u + i*u**2 + y*u**4 + x*u**3 and give y. 1312 Rearrange (-3*n**3 + 13 - 13)*(38 - 12 - 57 - 37) to c + q*n + m*n**2 + d*n**3 and give d. 204 Rearrange -8*j - j**2 + 2*j**2 + 7*j to a*j + k*j**2 + n and give a. -1 Rearrange -183*y**2 - 1 + 47*y**2 - 13*y**2 + 0 to the form q*y + l*y**2 + h and give h. -1 Express -6*k**2 + k**2 + k**2 + (1 - 1 + k)*(0 + 0 - 2*k) + 2*k**2 - 3*k**2 - k**2 - 6*k + 8 - 748*k**2 + 743*k**2 + 3*k as d*k**2 + b + r*k and give b. 8 Express ((2 - 1 + 1)*(2 - 4 + 0) + 0 - 3 + 6)*(-2*n - 3*n + 2*n)*(3*n**2 - n**2 + 4*n**2) in the form c*n + o*n**2 + g*n**3 + x and give g. 18 Rearrange 2 + 4*g**2 + 3*g**3 - g**2 + 0*g**3 - 2*g - 3*g + 3*g - 17*g**4 to m*g**2 + k*g**4 + d + j*g**3 + l*g and give m. 3 Express -14*k**4 + 13 - 13 + (k**2 + 3*k**2 - 2*k**2)*(2*k**2 - 2*k**2 - 2*k**2) - 21*k**4 + 1 + 3 - 3 - 1 as i*k**4 + z*k**2 + n + u*k**3 + s*k and give i. -39 Express 47*n + 3*n**3 + 2*n**2 - 1 - 51*n - 2*n**3 + 0*n**3 as b*n + r*n**2 + x*n**3 + s and give r. 2 Express (j**2 - 2*j**2 - j**2)*(-2 - 3 + 4) - 223*j**2 - 64*j**2 + 72*j**2 + (-j + 0*j + 3*j)*(3*j + 2*j - 3*j) as n*j + p*j**2 + t and give p. -209 Express 0*a - 4*a + 71*a as l*a + k and give k. 0 Rearrange -2*y**4 + 3 - y - 338*y**3 + 341*y**3 + 2*y**2 - 4 to b*y**4 + x*y**3 + d*y**2 + n*y + l and give d. 2 Rearrange -3*f - 42724*f**3 + 43273*f**3 + 5*f to the form w + c*f**2 + m*f**3 + n*f and give m. 549 Express 65357*y**2 - y**3 - 65409*y**2 - 16*y**3 in the form g*y**3 + i + h*y**2 + d*y and give g. -17 Rearrange (2*n + 2*n - n)*(3*n - 2*n - 2*n) + n**2 + 2*n**2 - 5*n**2 + (-5*n + 3 - 3)*(25*n + 24*n - 44*n) to the form v*n + x + y*n**2 and give x. 0 Express (2*s - 6*s + 2*s)*(-285 + 285 + 184*s) + 6 + 0 - 2*s**2 + 3*s**2 in the form j + t*s**2 + y*s and give j. 6 Express -6*c + 312*c + 33*c + 7*c - 2 in the form m + k*c and give k. 346 Express -6*r**4 + 4*r**4 + 17*r + 21*r**2 + 3*r**3 - 2 - 20*r**2 as s*r + k + a*r**3 + p*r**4 + y*r**2 and give a. 3 Express -9 - 61*y**2 + 18*y**3 + 3 + 8 + 86*y**2 in the form j*y + g*y**3 + l*y**2 + d and give l. 25 Express (3*i - i - i)*(4 - 6 - 1)*(-5 - 17 - 56) in the form m + l*i and give l. 234 Express x**2 + 2*x - 19*x + 7*x**2 + 10*x**2 as u + s*x**2 + q*x and give q. -17 Rearrange q**3 - q**2 + 63*q + 25 - 15*q - 52*q to v*q**2 + t*q + u*q**3 + d and give d. 25 Rearrange 2*a**3 + 2*a**4 + 18 - 52*a**2 + a**3 + 95*a**2 - a**3 - 45*a**2 to the form m*a**2 + z*a**3 + k*a**4 + x + p*a and give k. 2 Rearrange -173*s**3 + s**2 + 0*s**2 - 4*s + 172*s**3 - 4 to the form r*s + g*s**3 + n*s**2 + d and give n. 1 Rearrange (-16*u - 26*u + 23*u)*(1 - 2 + 2*u - 2) - 2*u**2 + 2*u**2 + u**2 to the form b + o*u**2 + w*u and give w. 57 Rearrange (0 - 2*w - w + 2)*(-750*w**3 + 374*w**3 + 375*w**3 + 43*w) to i*w**2 + l*w + g + h*w**4 + v*w**3 and give l. 86 Rearrange 125*o**2 - o**4 + 0*o**3 - 264*o**2 + 131*o**2 - 6*o**3 to the form r*o**2 + c*o**4 + w*o + y*o**3 + l and give r. -8 Express 303*h - 1300 + 1300 as a*h + n and give a. 303 Rearrange (135 - 303 - 2170)*(v**3 + 0 + 0) to the form c*v + d*v**3 + a + y*v**2 and give d. -2338 Express (-1 + 1 - 1057*c**2 + 1009*c**2)*(-48*c + 46*c + 9*c**2 - c**2) in the form i*c**2 + w*c**4 + g*c**3 + t*c + f and give w. -384 Rearrange 610*x + 62*x + 2551*x to the form n*x + l and give n. 3223 Rearrange (40*f + 1261 - 1261)*(0 + 0 + 1) to the form q + x*f and give x. 40 Express d - 3*d**4 - 6 + 150*d**3 - 64*d**3 - 79*d**3 in the form n*d**2 + q*d**4 + v*d + t + i*d**3 and give v. 1 Express 3 - 3 + 12068*n**3 + n - 11995*n**3 in the form d*n + c*n**2 + z*n**3 + g and give z. 73 Express 4*b + 5*b**4 - 29*b**3 - 5*b + 2*b**2 + 9 - 4*b**2 - b + 28*b**3 in the form n*b**3 + f*b**4 + o*b**2 + p*b + u and give p. -2 Rearrange 40*m**2 - 186*m**2 - 16*m**2 - 74*m**2 to q + g*m + u*m**2 and give u. -236 Rearrange (10*o - 10*o + 5*o**2)*(-1 + 1 + 2 - 1 + 0 + 2 + (-1 + 1 - 1)*(-1 + 0 - 1))*(46*o - 24*o - 12*o) to the form v*o**3 + k*o**2 + t*o + w and give w. 0 Express 4*x + 1 - 9*x**3 + 0*x**2 - 9*x**3 - x**2 + 19*x**3 as c*x**2 + h*x**3 + u*x + t and give h. 1 Rearrange 74 + 0*z + z + 90 - 150 to y*z + j and give y. 1 Rearrange 1 - 10*i**4 + 44*i**4 + 2*i**3 - 77*i**4 - 2*i - 15*i**4 to v*i**4 + l + p*i**2 + z*i + x*i**3 and give z. -2 Express (6 + 0 + 47)*(10 + 12*p - 10) as z + n*p and give n. 636 Express (4790 - 4790 + 29*o)*(-1 + 1 - 2) as q + u*o and give u. -58 Rearrange (0*v**2 + 0*v**2 - v**2)*(-2 + 2 + 4*v)*(-28*v + 9*v - 5*v) to the form z*v**3 + k*v**4 + l*v + r + x*v**2 and give k. 96 Express -206 + 3*b**2 - 6*b**2 + 92 in the form u*b**2 + w + c*b and give w. -114 Rearrange 834*p + 4 - 429*p -
{ "pile_set_name": "DM Mathematics" }
nd t? 17 Let g be (-4)/2 - 1*10. Let u be (1*9)/(g/(-72)). Calculate the highest common divisor of 6 and u. 6 Let f be ((-34)/8)/(55/(-440)). Calculate the greatest common divisor of f and 374. 34 Suppose v + 5*i = 3*i - 272, v = -3*i - 271. Let p be 36/(-306) - v/17. What is the highest common divisor of 40 and p? 8 Suppose -4*n + 168 + 72 = 0. Suppose -5*u + 3*w = -62, 2*w + 32 = 2*u - w. What is the greatest common divisor of u and n? 10 Let s = -20 + 72. What is the greatest common divisor of s and 468? 52 Let y(g) = -2*g**2 - 9*g. Let b be y(-8). Let j = -32 - b. What is the highest common factor of 120 and j? 24 Suppose 24*q = -5*d + 25*q + 3311, d - 643 = 5*q. Calculate the greatest common factor of 39 and d. 39 Suppose 64*u - 59*u - 65 = 0. Suppose u*m - 10*m - 54 = 0. What is the greatest common divisor of m and 72? 18 Suppose 532*g = 539*g - 4123. What is the highest common divisor of g and 31? 31 Suppose 3*z + 6 = 0, 212*h - 1561 = 209*h + 5*z. Calculate the greatest common factor of 44 and h. 11 Let v be (-20)/16*(2 - 6). Let u = v - 4. Suppose -o = -u - 11. What is the highest common factor of o and 12? 12 Suppose -1661*f = -1652*f - 99. What is the greatest common divisor of 19 and f? 1 Let o = 31 - 30. Let g be ((-45)/6)/(o/(-6)). What is the highest common factor of 9 and g? 9 Let s(b) be the second derivative of -b**5/10 - 5*b**4/12 - 5*b**3/6 - b**2 - 16*b. Let k be s(-2). What is the highest common divisor of k and 3? 1 Let m(i) = 3*i**2 - 39*i + 133. Let j be m(4). Calculate the highest common factor of 175 and j. 25 Suppose -177 = 6*t - 207. What is the greatest common divisor of 1 and t? 1 Let y = -3 - -2. Let u be 1 + (-2 - -5 - (y + 0)). What is the greatest common factor of 2 and u? 1 Let s(b) = b**2 - 10*b + 3. Let d be s(28). What is the greatest common divisor of 39 and d? 39 Suppose -8*y - 78 = -14*y. What is the greatest common divisor of 793 and y? 13 Let d = 91 - 86. Calculate the highest common factor of 155 and d. 5 Suppose 101 + 79 = 3*p. What is the greatest common factor of 40 and p? 20 Let t(a) = 37*a + 108. Let y be t(11). Calculate the highest common factor of y and 25. 5 Let a(q) = 11*q**2 + 2*q + 2. Let h = 18 + -20. Let l be a(h). Calculate the greatest common divisor of 28 and l. 14 Let i be 1290/27 - (-30)/135. What is the highest common factor of i and 12? 12 Suppose 19 = d - 5*s + 2*s, -3 = -s. Calculate the highest common divisor of d and 8. 4 Suppose 10*t - 13*t = -528. Suppose 15*z - 11*z = t. Calculate the highest common divisor of z and 308. 44 Suppose -4*m + 0 = 16. Let b be 0 - 16/m - -3. Let q be 1/3*(20 + 1). What is the highest common divisor of b and q? 7 Let c(y) = -y**2. Let n(m) = -2*m**2 + 8*m - 11. Let x(b) = -3*c(b) + n(b). Let f be x(-10). Calculate the greatest common divisor of 81 and f. 9 Suppose -3*a - 20 = -8*a + 3*y, -2*y - 20 = -5*a. What is the greatest common divisor of a and 98? 2 Suppose 0 = -21*i + 22*i - 2. Suppose -i*o + 15 = -2*z - 7, 0 = 2*o + 5*z - 50. What is the greatest common divisor of 75 and o? 15 Let y = -283 + 307. Calculate the greatest common divisor of 116 and y. 4 Let v be ((-28)/35*116)/(10/(-25)). Calculate the greatest common divisor of 261 and v. 29 Let z = -232 - -233. Calculate the greatest common divisor of 7 and z. 1 Suppose 3*q - 38 = 2*c, 0 = q - 3*c + 4*c - 11. Let v be (-2 + -2)*(-87)/q. Calculate the highest common divisor of v and 145. 29 Let l = 238 + -62. Suppose -139 = -7*u - 27. What is the highest common factor of l and u? 16 Suppose -7 = -12*a + 17. What is the greatest common divisor of a and 70? 2 Let g = 339 - 255. Let o(f) = f**3 + 4*f**2 + 6*f + 7. Let w be o(-5). Let i = g + w. Calculate the highest common divisor of 4 and i. 4 Suppose -8*x + 1410 = 2*x. Suppose -5*q = -3*q - 94. Calculate the greatest common divisor of x and q. 47 Suppose -5*k = -12 + 2, -3*k - 210 = -3*f. Calculate the highest common factor of 45 and f. 9 Let w = 2 - -16. Suppose a = -5*i + 3, 2*a + w = 2*i - 12. Let m = a - -22. Calculate the greatest common factor of m and 30. 10 Suppose 0 = 10*q - 11*q + 11. Let n = 2 + q. Calculate the highest common factor of 91 and n. 13 Suppose 9*a = 685 - 190. Let s = 115 - a. Calculate the highest common divisor of s and 15. 15 Let j be 0 - (1 + -8 + 3). Let n be 46 - j - (3 + 0). Let k be 3/(-12) - 735/(-28). Calculate the highest common factor of k and n. 13 Let h be (-4)/(-1) + 0 + 1. Let l(z) = -z - h*z - z + 3*z. Let i be l(-2). What is the greatest common divisor of i and 8? 8 Let f(b) = -b**2 - 4*b + 2. Let l be f(-4). Let w = 5 - l. Suppose -15 - 7 = -4*u + 2*o, -2*o + w = u. What is the highest common divisor of u and 25? 5 Let d = -46 + 78. Let m = -11 + d. Let x = -19 + m. What is the greatest common divisor of 3 and x? 1 Suppose 0 = -y - 4*y + 195. Let u(m) be the first derivative of -9*m**2/2 - m + 1. Let w be u(-3). Calculate the highest common factor of y and w. 13 Suppose 3*d = 26 + 28. Let o be (d + -2)/(1 - 93/99). What is the greatest common factor of 24 and o? 24 Suppose 5*r - 30 = 2*t, 0*r - r - 3*t = -6. Calculate the highest common factor of r and 162. 6 Suppose -13*z - 10*z + 276 = 0. Calculate the highest common factor of z and 576. 12 Let q(w) = w**3 - w**2 + w + 14. Let t be q(0). Suppose 4*p + 2*b - 15 - 17 = 0, -5*b = -p - t. Calculate the highest common divisor of p and 18. 6 Suppose 9*s - 4*s = -5*t + 45, -2*t = -4*s + 6. Let d(x) = x**3 - 4*x**2 - 2*x + 9. Let n be d(s). Calculate the highest common factor of n and 1. 1 Let v = -26 - -28. Suppose -5*y + 70 = -v*i, -3*y - 14 = -4*y - i. Calculate the highest common divisor of y and 98. 14 Suppose -6*n + j + 148 = -5*n, 5*j - 460 = -3*n. What is the highest common divisor of n and 75? 75 Let b be 1187/12 + -10*18/(-2160). Let v(k) = 10*k**2 - 2*k + 1. Suppose 2*i = -2 + 4. Let o be v(i). Calculate the highest common divisor of o and b. 9 Suppose 5*h - 3*p = -62 + 256, 4*p = 8. Suppose -m = -4*m + 48. What is the highest common divisor of m and h? 8 Let o = -22 + 52. Suppose d + 0*d + q = 40, -d + q = -o. Calculate the highest common divisor of 7 and d. 7 Suppose 336 = 3*s + 60. Let u = 22 - 26. Let r(w) = -7*w - 5. Let v be r(u). What is the greatest common factor of v and s? 23 Suppose 21*v - 18*v - 3*n - 1359 = 0, 4*v - 1810 = 3*n. Calculate the greatest common divisor of 41 and v. 41 Suppose 36 - 28 = 4*z. Suppose -5*j = -z*u - 590, 4*u - 1 - 19 = 0. Calculate the highest common divisor of 48 and j. 24 Let t(o) = 23*o + 985. Let s be t(-21). What is the highest common factor of s and 2? 2 Let p be (-2 + 1 + -1)/(36 + -38). What is the highest common divisor of 31 and p? 1 Let w(t) = 68*t + 183. Let r be w(12). What is the highest common divisor of r and 27? 27 Let k be (-42)/28*(-15 + 1). Let b = k + -18. Let n be 34/b - (-24)/36. What is the highest common divisor of 108 and n? 12 Suppose 61*v = 37*v + 2184. Calculate the highest common divisor of 104 and v. 13 Suppose -14*j = -22*j + 1664. Calculate the greatest common divisor of j and 130. 26 Suppose 4*a = -4*q + 176, 0*a + 2*q = -a + 43. Let p = a + -25. Let g be ((-12)/(-30))/(2/20). Calculate the greatest common factor of g and p. 4 Let w(v) = 3*v**2 - 3*v + 2. Let m be w(1). Let a be (-7)/(2/(-6 + m)). Calculate the highest common factor of a and 14. 14 Let i = 87 + -86. Let y be i*((-24)/(-10))/(36/120). What is the highest common factor of y and 152? 8 Let z = -2007 - -2012. What is the highest common factor of z and 525? 5 Let t(b) = 69*b - 1488. Let k be t(22). Suppose 3*n = n + 150. Calculate the highest common factor of k and n. 15 Suppose -235 + 559 = -4*v. Let f be v/(-5) - 6*(-3)/(-90). What is the greatest common factor of 24 and f? 8 Suppose 7*k - 2153 - 493 = 0. What is the greatest common factor of k and 84? 42 Suppose -3*g - 22 = -n, 2*g = n - 3*g - 32. Suppose 4*k + 3 = n*k. Let l be 9 + (-1)/(2/4). What is the highest common factor of l and k? 1 Suppose 1456 = 3*l - 2*h - 128, l + 3*h = 539. Calculate the greatest common divisor of l and 10. 10 Let s(o) = -o**3 + o**2 - 2*o + 24. Let y be s(-7). Calculate the highest common divisor of 10 and y. 10 Suppose -4*z + 7 = 3*k, 0 = -k - 2*k - 5*z + 5. Calculate the highest common divisor of 135 and k. 5 Let k be
{ "pile_set_name": "DM Mathematics" }
est integer. 1 What is 42651.53 rounded to the nearest ten? 42650 Round -4312.526 to the nearest 10. -4310 What is 11090.62 rounded to the nearest 100? 11100 Round 5442810 to the nearest ten thousand. 5440000 What is -0.0000039673956 rounded to 7 dps? -0.000004 What is -0.00412741 rounded to 3 dps? -0.004 What is -0.01419423 rounded to 2 dps? -0.01 Round -282.7218 to the nearest 10. -280 What is -0.000464682 rounded to 6 decimal places? -0.000465 Round 0.00000578031 to 7 decimal places. 0.0000058 What is 0.000000248595 rounded to seven dps? 0.0000002 What is -376.6519 rounded to one dp? -376.7 What is -625418.3 rounded to the nearest 100000? -600000 What is -0.0011453133 rounded to 5 dps? -0.00115 What is -628640 rounded to the nearest 10000? -630000 Round -0.1800004 to three decimal places. -0.18 Round -0.0000000147324 to 7 decimal places. 0 What is 264576 rounded to the nearest one hundred thousand? 300000 What is -25024300 rounded to the nearest one hundred thousand? -25000000 Round 0.00000655304 to six dps. 0.000007 Round 2056112 to the nearest 1000000. 2000000 What is -0.0004760977 rounded to 4 dps? -0.0005 What is 0.000002260355 rounded to six dps? 0.000002 Round -1.667942 to the nearest integer. -2 Round 0.000917897 to 6 decimal places. 0.000918 Round 0.0045419 to 3 decimal places. 0.005 Round 0.003947599 to five dps. 0.00395 Round 0.00002513401 to seven dps. 0.0000251 What is 13591981 rounded to the nearest 10000? 13590000 Round -10623915 to the nearest one hundred thousand. -10600000 What is 0.0000003714549 rounded to seven dps? 0.0000004 What is 0.006368044 rounded to four decimal places? 0.0064 What is -0.016018 rounded to 2 dps? -0.02 Round 55.63012 to 2 decimal places. 55.63 What is 64245.53 rounded to the nearest one thousand? 64000 Round -101838000 to the nearest one hundred thousand. -101800000 Round -0.0029761869 to 6 decimal places. -0.002976 Round -32515.64 to the nearest ten. -32520 What is -149544650 rounded to the nearest one hundred thousand? -149500000 Round 0.000969657 to five decimal places. 0.00097 Round 761305 to the nearest 100000. 800000 What is -421484 rounded to the nearest 10000? -420000 Round 3163.761 to the nearest 10. 3160 Round -5.4325132 to three dps. -5.433 What is 9608330 rounded to the nearest one million? 10000000 What is 1048.6737 rounded to the nearest 100? 1000 What is -0.0011341056 rounded to four dps? -0.0011 Round 85241.1 to the nearest one thousand. 85000 What is -56914.7 rounded to the nearest one thousand? -57000 What is 0.1423176 rounded to four dps? 0.1423 What is 932259300 rounded to the nearest 1000000? 932000000 What is 0.0006159914 rounded to five decimal places? 0.00062 What is 0.000060404 rounded to five dps? 0.00006 What is -0.0206693 rounded to 2 dps? -0.02 Round 0.017530203 to three decimal places. 0.018 Round -9074.406 to the nearest one hundred. -9100 What is 0.000028073 rounded to 6 decimal places? 0.000028 What is 0.2435689 rounded to 2 dps? 0.24 What is 17922.6 rounded to the nearest 1000? 18000 What is 1.993263 rounded to 2 decimal places? 1.99 Round -56909.54 to the nearest 10000. -60000 What is 13938910 rounded to the nearest one million? 14000000 Round 0.0005756305 to seven decimal places. 0.0005756 What is 7405.4 rounded to the nearest 1000? 7000 Round -38.911 to the nearest one hundred. 0 What is -85.27478 rounded to the nearest ten? -90 What is -13.12389 rounded to one dp? -13.1 Round 0.000135607 to four decimal places. 0.0001 Round -20844.9 to the nearest one hundred. -20800 Round -0.0024878175 to 6 decimal places. -0.002488 Round -241332.6 to the nearest 100000. -200000 What is 65456.2 rounded to the nearest 100? 65500 What is -1.472136 rounded to 3 dps? -1.472 Round -0.00295775 to four dps. -0.003 What is 0.0000030592335 rounded to 6 decimal places? 0.000003 What is 61390.95 rounded to the nearest 10000? 60000 What is -0.0000010471883 rounded to 7 decimal places? -0.000001 Round 0.0049673468 to 6 decimal places. 0.004967 What is -4.784649 rounded to three decimal places? -4.785 Round -0.0055143 to 3 decimal places. -0.006 Round 0.000006066063 to 6 dps. 0.000006 Round -1210709000 to the nearest 1000000. -1211000000 Round 128379.94 to the nearest 10000. 130000 Round 0.0581114 to 2 decimal places. 0.06 What is 557001 rounded to the nearest 100? 557000 Round -0.0000734383 to six decimal places. -0.000073 Round -0.002331584 to five decimal places. -0.00233 What is -13.4921 rounded to the nearest integer? -13 Round 932850 to the nearest 100000. 900000 What is -46.184797 rounded to 1 dp? -46.2 What is 0.000004990955 rounded to 7 dps? 0.000005 What is 55558.769 rounded to the nearest 1000? 56000 Round 1746119 to the nearest 100000. 1700000 What is 170527.42 rounded to the nearest ten thousand? 170000 What is 693947000 rounded to the nearest one million? 694000000 Round 0.0001914385 to seven dps. 0.0001914 Round 0.001226101 to five dps. 0.00123 What is -0.00000108995 rounded to 6 decimal places? -0.000001 Round -0.00005115616 to five decimal places. -0.00005 What is 0.0542098 rounded to four dps? 0.0542 Round -0.3688454 to one dp. -0.4 What is 2240.6 rounded to the nearest 10? 2240 What is 0.000092432 rounded to five decimal places? 0.00009 What is 6.61224 rounded to 2 decimal places? 6.61 Round -212545.4 to the nearest 1000. -213000 Round -70.8065 to the nearest ten. -70 Round 17138830 to the nearest 100000. 17100000 Round -14909000 to the nearest 1000000. -15000000 What is 9989.7526 rounded to zero decimal places? 9990 Round -0.00461 to two dps. 0 What is 0.30188 rounded to one dp? 0.3 What is -0.00004408791 rounded to five decimal places? -0.00004 What is -0.00000040024 rounded to six dps? 0 Round 31.797818 to the nearest 10. 30 Round 0.008970089 to three dps. 0.009 Round 15956260 to the nearest 1000000. 16000000 What is 6.32035 rounded to zero decimal places? 6 Round -166.6469 to one decimal place. -166.6 What is -0.00325976 rounded to 3 decimal places? -0.003 What is 63588430 rounded to the nearest 1000000? 64000000 Round 0.0008799412 to five decimal places. 0.00088 Round -501.6799 to the nearest ten. -500 Round 1.18175 to 3 dps. 1.182 Round -0.000042804945 to 6 decimal places. -0.000043 What is -494952.5 rounded to the nearest one hundred thousand? -500000 What is 55544 rounded to the nearest 10000? 60000 What is -0.000020175026 rounded to seven decimal places? -0.0000202 Round -1247.0762 to the nearest ten. -1250 What is 0.00001453901 rounded to seven dps? 0.0000145 What is -376.95478 rounded to the nearest integer? -377 Round 153426810 to the nearest one million. 153000000 Round -2493.498 to the nearest one hundred. -2500 Round -0.0003665741 to five decimal places. -0.00037 What is -1.88638 rounded to 1 decimal place? -1.9 What is -0.000015927083 rounded to 6 dps? -0.000016 Round -922198 to the nearest ten thousand. -920000 What is -29814.46 rounded to the nearest one thousand? -30000 What is 0.0020469375 rounded to five decimal places? 0.00205 What is -538169100 rounded to the nearest one million? -538000000 Round -335933500 to the nearest 100000. -335900000 What is -0.0214148 rounded to 2 decimal places? -0.02 What is -93962 rounded to the nearest 10000? -90000 Round 113716700 to the nearest one hundred thousand. 113700000 What is -10.24764 rounded to 1 decimal place? -10.2 Round -14632.043 to the nearest 10. -14630 Round 361.643 to the nearest ten. 360 Round 59853.371 to the nearest 10000. 60000 Round 0.0007547363 to 4 decimal places. 0.0008 Round -0.000879637 to 5 decimal places. -0.00088 Round 124.2071 to the nearest ten. 120 What is 1009.777 rounded to the nearest ten? 1010 Round -0.0000815507 to seven decimal places. -0.0000816 Round -0.053702892 to 4 dps. -0.0537 What is 524.253 rounded to the nearest one thousand? 1000 What is -0.0000830389 rounded to five decimal places? -0.00008 Round -0.0001572616 to six dps. -0.000157 What is -5016.7147 rounded to 0 dps? -5017 What is -5499.07 rounded to the nearest 100? -5500 What is -5012712 rounded to the nearest ten thousand? -5010000 Round -8376.428 to 0 dps. -8376 What is 0.088317 rounded to 1 dp? 0.1 Round 13.1295 to 1 dp. 13.1 What is -0.0000319038 rounded to five decimal places? -0.00003 What is -0.1666648 ro
{ "pile_set_name": "DM Mathematics" }
m upbuuptuuktuububbtbp. Give prob of picking 1 p and 2 t. 3/380 Two letters picked without replacement from {t: 3, k: 1, q: 1, y: 1, a: 1, o: 6}. What is prob of picking 1 k and 1 t? 1/26 Four letters picked without replacement from lrxbbrrrrblrxbrrl. Give prob of picking 1 b and 3 l. 1/595 What is prob of picking 1 e and 3 i when four letters picked without replacement from iiiiieei? 4/7 Three letters picked without replacement from yvnynnyn. Give prob of picking 1 v and 2 y. 3/56 Two letters picked without replacement from cbcbjlocbou. Give prob of picking 2 c. 3/55 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {r: 8, w: 6, n: 1, h: 4, d: 1}. 3/95 Calculate prob of picking 2 c when two letters picked without replacement from caaaaaacaaaaaaaaaaac. 3/190 Four letters picked without replacement from {m: 2, l: 3}. What is prob of picking 4 l? 0 What is prob of picking 2 f and 1 j when three letters picked without replacement from {b: 4, a: 1, f: 2, j: 1}? 1/56 What is prob of picking 3 t when three letters picked without replacement from {t: 6}? 1 Four letters picked without replacement from {c: 2, m: 4}. What is prob of picking 4 m? 1/15 Calculate prob of picking 1 o and 1 c when two letters picked without replacement from pocoogcscsclpg. 12/91 Four letters picked without replacement from {m: 3, x: 2}. Give prob of picking 2 m and 2 x. 3/5 Three letters picked without replacement from nbppppbpppnn. Give prob of picking 2 n and 1 b. 3/110 Calculate prob of picking 1 t and 2 m when three letters picked without replacement from tttmmtmmzmtttmtmtmm. 108/323 What is prob of picking 4 k when four letters picked without replacement from {k: 5, v: 2}? 1/7 Three letters picked without replacement from {y: 2, t: 8, i: 1, s: 5, b: 1}. Give prob of picking 1 s and 2 y. 1/136 Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {g: 3, f: 3}. 9/20 Calculate prob of picking 1 z and 1 a when two letters picked without replacement from hahhz. 1/10 What is prob of picking 1 r, 2 c, and 1 x when four letters picked without replacement from rcrxxccx? 9/35 Two letters picked without replacement from zffdzdzdzzzzdddzz. Give prob of picking 2 d. 15/136 What is prob of picking 2 u and 2 r when four letters picked without replacement from {u: 7, r: 9}? 27/65 Calculate prob of picking 2 a when two letters picked without replacement from lajasl. 1/15 Two letters picked without replacement from {k: 3, x: 4, s: 1, r: 4, d: 2, f: 6}. What is prob of picking 1 d and 1 f? 6/95 Two letters picked without replacement from {u: 7, w: 1, b: 1}. Give prob of picking 1 u and 1 w. 7/36 What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 2, a: 2, m: 2, d: 6, e: 3}? 6/91 What is prob of picking 3 u and 1 r when four letters picked without replacement from urruu? 2/5 Three letters picked without replacement from {i: 9}. Give prob of picking 3 i. 1 Three letters picked without replacement from {i: 8, y: 2, h: 2}. Give prob of picking 2 h and 1 y. 1/110 Two letters picked without replacement from twtt. What is prob of picking 1 w and 1 t? 1/2 Two letters picked without replacement from qmqmmm. Give prob of picking 1 q and 1 m. 8/15 Two letters picked without replacement from {h: 3, i: 9}. Give prob of picking 2 i. 6/11 What is prob of picking 1 c and 2 v when three letters picked without replacement from {v: 4, c: 1, a: 6}? 2/55 Three letters picked without replacement from gqgvgggqqfgggqffqq. What is prob of picking 2 g and 1 q? 7/34 Two letters picked without replacement from {s: 12, v: 7}. What is prob of picking 2 s? 22/57 Three letters picked without replacement from ggpppgpggggggppgppgp. Give prob of picking 2 p and 1 g. 33/95 Four letters picked without replacement from {l: 1, z: 5, d: 9, e: 1, g: 2}. What is prob of picking 1 l and 3 d? 7/255 What is prob of picking 2 k and 2 n when four letters picked without replacement from {s: 7, k: 2, n: 9}? 1/85 Four letters picked without replacement from {c: 5, g: 5}. Give prob of picking 2 c and 2 g. 10/21 What is prob of picking 1 i and 1 a when two letters picked without replacement from {a: 1, i: 2}? 2/3 Three letters picked without replacement from {c: 2, p: 4, q: 1}. What is prob of picking 1 c, 1 q, and 1 p? 8/35 Two letters picked without replacement from ddcddddc. What is prob of picking 2 d? 15/28 What is prob of picking 1 i and 2 y when three letters picked without replacement from {t: 3, y: 5, f: 1, i: 1, m: 5}? 2/91 What is prob of picking 4 c when four letters picked without replacement from {s: 2, g: 1, j: 5, d: 2, c: 8}? 7/306 Four letters picked without replacement from oooyvvoooooovooyooy. What is prob of picking 1 o, 1 y, and 2 v? 39/1292 Four letters picked without replacement from {d: 3, o: 1, r: 1, x: 2}. What is prob of picking 1 d, 2 x, and 1 r? 3/35 Three letters picked without replacement from bbjqrqqrqrqbq. What is prob of picking 3 b? 1/286 Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {e: 1, r: 2, z: 1}. 1/3 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {l: 5, w: 1, d: 4, b: 2, q: 2}. 10/91 Three letters picked without replacement from {n: 2, w: 3, d: 3}. Give prob of picking 1 w and 2 n. 3/56 What is prob of picking 2 h when two letters picked without replacement from wwwhwhhwwhwhhhhwwwhw? 18/95 Four letters picked without replacement from {m: 4, k: 8, d: 1}. Give prob of picking 3 m and 1 k. 32/715 Three letters picked without replacement from ttxttxxxttrxrxx. Give prob of picking 3 t. 4/91 Calculate prob of picking 2 b and 1 h when three letters picked without replacement from {b: 3, h: 3}. 9/20 Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {d: 5, z: 9, g: 2, f: 2}. 2/17 Calculate prob of picking 3 q when three letters picked without replacement from {j: 6, q: 7, x: 1}. 5/52 What is prob of picking 1 s and 2 a when three letters picked without replacement from {u: 5, a: 2, s: 4}? 4/165 What is prob of picking 1 r and 1 v when two letters picked without replacement from {p: 3, v: 4, r: 6, z: 2}? 8/35 Two letters picked without replacement from pzdyyd. Give prob of picking 1 y and 1 p. 2/15 What is prob of picking 1 k and 1 a when two letters picked without replacement from wkwswwwabwwbawwstww? 2/171 Four letters picked without replacement from {f: 7, k: 6, s: 2}. Give prob of picking 1 k and 3 f. 2/13 Two letters picked without replacement from lwlw. What is prob of picking 1 l and 1 w? 2/3 What is prob of picking 2 n when two letters picked without replacement from {i: 1, n: 14, s: 5}? 91/190 Two letters picked without replacement from zgouh. What is prob of picking 1 u and 1 o? 1/10 Three letters picked without replacement from uuinfinuffifui. Give prob of picking 1 f, 1 i, and 1 n. 8/91 Four letters picked without replacement from uaouwuuaaawawaaaaaa. Give prob of picking 2 a, 1 o, and 1 w. 55/1292 Two letters picked without replacement from xxxxxxxxxcxcxcxx. What is prob of picking 2 x? 13/20 Four letters picked without replacement from {l: 3, o: 1, t: 13}. What is prob of picking 1 t and 3 l? 13/2380 Calculate prob of picking 3 x when three letters picked without replacement from xxxxxxx. 1 What is prob of picking 2 t when two letters picked without replacement from zebfftt? 1/21 What is prob of picking 1 h and 2 d when three letters picked without replacement from {d: 7, u: 5, h: 1}? 21/286 Calculate prob of picking 2 q, 1 f, and 1 x when four letters picked without replacement from xffqxqqq. 12/35 Calculate prob of picking 1 a, 1 k, and 2 d when four letters picked without replacement from ddaaxlldlddankdaa. 15/476 Four letters picked without replacement from osoosoooooo. What is prob of picking 2 s and 2 o? 6/55 Four letters picked without replacement from jeeeejjejxxjxjjjxje. What is prob of picking 2 e and 2 x? 15/646 Two letters picked without replacement from {o: 1, y: 1, k: 1}. Give prob of picking 1 o and 1 k. 1/3 Calculate prob of picking 2 t and 1 y when three letters picked without replacement from zzztzqyzzthttqyhqql. 4/323 Two letters picked without r
{ "pile_set_name": "DM Mathematics" }
ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b? 135 Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1? 5 Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o? 21 Let f = 969 + -846. Calculate the remainder when f is divided by 31. 30 Let i = -40 + 59. Suppose -14*a + i*a = 0. Suppose a = -2*p + 5*p - 3*x - 69, -3*p = 5*x - 45. What is the remainder when p is divided by 12? 8 Suppose -76 - 1206 = -56*w + 510. What is the remainder when 894 is divided by w? 30 Suppose -2*w - 201 = -3*w. Suppose 9*j = 669 - w. Calculate the remainder when 101 is divided by j. 49 Suppose -139 = -5*z - 44. Suppose -5*b = k - 86, -5*k + 3 = b - z. What is the remainder when (-6*9/3)/((-123)/328) is divided by b? 14 Suppose -2*i = 3*i - 30. Suppose -1229 = -i*z + 901. Suppose -2*d - 91 = -z. What is the remainder when d is divided by 45? 42 What is the remainder when 117 is divided by (1 - 3)/(-6) + 606/18? 15 Let c(t) = 21*t**2 + 3739*t + 7473. Suppose 0 = 2*n - 18 - 74. What is the remainder when c(-2) is divided by n? 33 Let d = -31 - -48. What is the remainder when (-504032)/(-4974) - (-20)/(-6) is divided by d? 13 Suppose -a + 95 = 3*r, 0 + 4 = -a. Let j = r + -13. Suppose -j*i + 16*i = -132. Calculate the remainder when i is divided by 7. 5 Let y = 1706 + -1457. Calculate the remainder when y is divided by 79. 12 Suppose 8*z = -0*z + 120. Suppose -325 = -z*p + 140. What is the remainder when 60 is divided by p? 29 Let x = 3022 + 1134. What is the remainder when x is divided by 11? 9 Let c = -11 - -33. Suppose -74*o = -61*o - 4732. Let s = -357 + o. Calculate the remainder when c is divided by s. 1 Let d(i) = -i**2 - 10*i + 2. Let w = -7 + 2. Calculate the remainder when ((-14)/(-5))/(-7) + (-652)/w is divided by d(-9). 9 Let w(l) = 4*l**2 - 15*l + 704. What is the remainder when w(21) is divided by 1072? 9 Let k(m) = m - 3 - 1 - 9*m. Let y(b) = -115*b - 455. Calculate the remainder when k(-4) is divided by y(-4). 3 Let w(l) = 1715*l + 15478. Calculate the remainder when 20122 is divided by w(-9). 41 Suppose 2*i + v = 6*i - 69, -5*i - 2*v = -83. Let o be 36 - (-6 + 14 + -3 + -3). Suppose o*l - 11*l - 1518 = 0. What is the remainder when l is divided by i? 15 Suppose 15*n = 71*n - 196616. Calculate the remainder when n is divided by 14. 11 Suppose -20*s = -19*s - 3. Suppose -4*t - s*r = -173, 4*r - 2 - 10 = 0. Suppose 36*n = t*n - 110. Calculate the remainder when n is divided by 5. 2 Suppose -3*t + 162 = 5*g, -g - 132 = -5*g - 3*t. What is the remainder when -50*((-472)/(-40) - 13) - 4 is divided by g? 26 Suppose 1200 = -16*f - 4*f. What is the remainder when 357 is divided by 10/(-2) + 40/(-25)*f? 84 Suppose 90 = -126*q + 136*q. Calculate the remainder when 44 is divided by q. 8 Suppose 128 = 2*t + 2*r - 104, -t + 120 = 3*r. Calculate the remainder when t is divided by 28. 2 Let g = 15498 + -15386. Calculate the remainder when 1692 is divided by g. 12 Let z = 1002 - 486. Let n = 529 - z. What is the remainder when 115 is divided by n? 11 Calculate the remainder when 28/((-84)/(-91671)) - 9/1 is divided by 114. 110 Suppose -3045 = -5*o + 5*v, -v - 4*v = 3*o - 1827. What is the remainder when o is divided by 37? 17 Let a(o) = 6*o + 62. Let f be a(8). Suppose 0 = -104*v + f*v - 354. Calculate the remainder when v is divided by 6*(0 + 40/12). 19 Suppose -3*l + 2*c = -77 - 11, 3*c = -4*l + 123. What is the remainder when (-4)/(-14) + 2924/7 is divided by l? 28 Let l be (127 + (10 - 3))*1/(-2). Let v be ((-8)/(-6))/2*-21. Let k = v - l. Calculate the remainder when k is divided by 9. 8 Suppose -3*c = -3*t + 3603, 0 = t + 2*c - 4*c - 1202. Suppose -20*o + 4*o = -t. Calculate the remainder when o is divided by 26. 23 Let g be -3 + 2 + 9 + (-1 - -3). Suppose y = 2, 5*f - y = 2*y + 14. What is the remainder when (-6*9/(-54))/(2/g) is divided by f? 1 Suppose 315 = 1193*w - 1172*w. Suppose 2*z - 5*z = -162. Calculate the remainder when z is divided by w. 9 Let v(f) = -f**3 - 8*f**2 - 9*f - 5. Suppose -56 = -0*b + 2*b. Let m = b - -53. Calculate the remainder when m is divided by v(-7). 7 Suppose 22*p - 51 = 5*p. What is the remainder when 1537/p - (2 + (-40)/15) is divided by 43? 40 What is the remainder when 1463 is divided by (-24)/(-108)*27 - 1? 3 Suppose 2*t + a + 11 = 0, -5*t - 2*a - 23 = -4*a. What is the remainder when 3/((-3)/t) + 213 is divided by 10? 8 Calculate the remainder when (-1618)/(-6) - 82/123 is divided by 77. 38 Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16. 13 Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6? 4 Let y = 31175 + -29978. What is the remainder when y is divided by 254? 181 What is the remainder when 424 is divided by (13/((-234)/891) + -6)*(-20)/6? 54 Suppose 62*g = 1281 + 455. What is the remainder when 329 is divided by g? 21 Suppose 10*z = 17*z + 28. Let f(s) = s**2 - 6*s - 12. What is the remainder when 160 is divided by f(z)? 20 Let n(f) = 15*f**2 + f + 1. Let a be n(-1). Suppose 64*y - 63*y - 23 = 5*h, -2*y - h - 9 = 0. Let q = a - y. Calculate the remainder when q is divided by 6. 5 Let c(x) = 21*x + 517. Let q(o) = -13*o - 345. Let g(k) = -5*c(k) - 8*q(k). What is the remainder when g(34) is divided by 40? 21 Suppose 1140 = 157*c - 100*c. Calculate the remainder when 2657 is divided by c. 17 Suppose -11*h = 14*h - 14*h - 110. Let m = -1079 - -1667. Calculate the remainder when m is divided by h. 8 Suppose 58 = 4*v - 2*j, -2*v - 5*j + j + 44 = 0. Let x be -1*249*4*(-4)/v. Suppose 3*c = x + 150. What is the remainder when c is divided by 34? 31 Suppose -4*k = -223 - 296 + 323. What is the remainder when 54 is divided by k? 5 Suppose -140*g = -78514 + 21394. Calculate the remainder when 475 is divided by g. 67 Let g = -464 - -468. Suppose r + 153 = -0*b + 4*b, 94 = 2*b - g*r. What is the remainder when 479 is divided by b? 35 Let h(q) = -25 - 2*q + 20*q**2 + 25*q**2 - 44*q**2. What is the remainder when h(-9) is divided by 21? 11 Suppose 4*b - 162 = 5*p + 65, 271 = 5*b - 2*p. What is the remainder when 311 is divided by b? 46 Let m be -7 + 12 - 7 - 12. Suppose -6*o + 2*o = -380. What is the remainder when o is divided by (m/(-42))/(1/42)? 11 Suppose f - 120 = -v + 53, 0 = -4*f - 8*v + 688. What is the remainder when f is divided by 77? 20 Let p(f) = 13*f**2 - 196*f + 25. Calculate the remainder when p(17) is divided by 57. 51 Let r be (8/(-10))/(20/(-50)). Let s be 45/30 + 19/r. Let l(w) = 6*w - 17. What is the remainder when l(s) is divided by 17? 15 Suppose w = -0*w - 466 + 1037. What is the remainder when w is divided by 48? 43 Suppose 24*o - 783 = 15*o. Let d = o + -52. Calculate the remainder when 111 is divided by 10/d - (-201)/7. 24 Suppose 5*s - 24*q + 20*q = 147, -4*s + 5*q = -123. Let j(v) = -13*v + 12. What is the remainder when j(-7) is divided by s? 22 Let a(q) = 12*q**2 + 395*q + 48. Calculate the remainder when a(-34) is divided by 267. 223 Let w(y) = 491*y**3 + 4*y**2 + 7*y - 12. Calculate the remainder when w(1) is divided by 29. 26 Let o = 30642 - 25650. What is the remainder when o is divided by 277? 6 Let v = -1252 - -1844. Suppose -3*m = 13*m - v. What is the remainder when 72 is divided by m? 35 Suppose 4625 = 12*d - 823. Calculate the remainder when d is divided by 58. 48 Suppose -a + 17 = -0. Suppose -19*z + 37555 = 166*z. What is the remainder when z is divided by a? 16 Let r(s) = s**3 + 10*s**2 - 12*s + 7. Let c be r(-10). Let i = c + 51. Suppose 4*k - 6*k + i = 0. Calculate the remainder when k is divided by 15. 14 Suppose 0 = -2*u - h - h - 40, 2*u + h = -41. Let k(j) = -j**3 - 22*j**2 - 28*j - 30. Calculate the remainder when k(u) is divided by 17. 15 Let m(y) be the first derivative of 5*y**2 - 48*y + 26. Suppose -3*l = -24 - 150. What is the remainder when l is divided by m(6)? 10 Let q(t) = 2*t**3 - 59*t**2 + 256*t + 107. Calculate the remainder when q(27) is divided by 135. 134 Suppose 7*h - 5*h = 4*y - 500, -3*y + 3*h = -378. What is the remainder when y is divided by (34/(-17))/((-2)/26)? 20 Let s(d) = -15*d - 18.
{ "pile_set_name": "DM Mathematics" }
square root of 196 to the nearest integer? 14 What is 51473 to the power of 1/2, to the nearest integer? 227 What is the ninth root of 202 to the nearest integer? 2 What is 75767 to the power of 1/2, to the nearest integer? 275 What is the square root of 22796 to the nearest integer? 151 What is the cube root of 4480 to the nearest integer? 16 What is 7441 to the power of 1/2, to the nearest integer? 86 What is the square root of 1477 to the nearest integer? 38 What is the third root of 4168 to the nearest integer? 16 What is the third root of 1843 to the nearest integer? 12 What is 7377 to the power of 1/6, to the nearest integer? 4 What is the cube root of 1433 to the nearest integer? 11 What is 27852 to the power of 1/10, to the nearest integer? 3 What is 106452 to the power of 1/2, to the nearest integer? 326 What is the square root of 16778 to the nearest integer? 130 What is 1518 to the power of 1/2, to the nearest integer? 39 What is 49676 to the power of 1/3, to the nearest integer? 37 What is 6143 to the power of 1/3, to the nearest integer? 18 What is the third root of 2980 to the nearest integer? 14 What is 1965 to the power of 1/9, to the nearest integer? 2 What is the cube root of 3567 to the nearest integer? 15 What is 4757 to the power of 1/2, to the nearest integer? 69 What is the seventh root of 5362 to the nearest integer? 3 What is the third root of 4645 to the nearest integer? 17 What is the cube root of 1580 to the nearest integer? 12 What is 252 to the power of 1/5, to the nearest integer? 3 What is the sixth root of 2665 to the nearest integer? 4 What is the square root of 221 to the nearest integer? 15 What is the seventh root of 8850 to the nearest integer? 4 What is the seventh root of 61030 to the nearest integer? 5 What is 3967 to the power of 1/2, to the nearest integer? 63 What is 26391 to the power of 1/3, to the nearest integer? 30 What is the cube root of 6928 to the nearest integer? 19 What is the square root of 2102 to the nearest integer? 46 What is the square root of 8819 to the nearest integer? 94 What is the third root of 6970 to the nearest integer? 19 What is 15005 to the power of 1/2, to the nearest integer? 122 What is the square root of 582 to the nearest integer? 24 What is the third root of 6519 to the nearest integer? 19 What is 22254 to the power of 1/10, to the nearest integer? 3 What is 4561 to the power of 1/2, to the nearest integer? 68 What is the square root of 248 to the nearest integer? 16 What is the square root of 9738 to the nearest integer? 99 What is the cube root of 14430 to the nearest integer? 24 What is the square root of 32951 to the nearest integer? 182 What is the third root of 139 to the nearest integer? 5 What is the square root of 23900 to the nearest integer? 155 What is the square root of 19611 to the nearest integer? 140 What is 71388 to the power of 1/3, to the nearest integer? 41 What is the ninth root of 1298 to the nearest integer? 2 What is 210 to the power of 1/5, to the nearest integer? 3 What is the cube root of 90694 to the nearest integer? 45 What is the fourth root of 19511 to the nearest integer? 12 What is the cube root of 1388 to the nearest integer? 11 What is 1801 to the power of 1/8, to the nearest integer? 3 What is 51116 to the power of 1/2, to the nearest integer? 226 What is 3302 to the power of 1/3, to the nearest integer? 15 What is the cube root of 198 to the nearest integer? 6 What is 69444 to the power of 1/9, to the nearest integer? 3 What is 2990 to the power of 1/2, to the nearest integer? 55 What is the square root of 4255 to the nearest integer? 65 What is the cube root of 4058 to the nearest integer? 16 What is the square root of 5461 to the nearest integer? 74 What is 26871 to the power of 1/7, to the nearest integer? 4 What is the cube root of 758 to the nearest integer? 9 What is the square root of 1512 to the nearest integer? 39 What is the third root of 961 to the nearest integer? 10 What is 1516 to the power of 1/2, to the nearest integer? 39 What is 6406 to the power of 1/4, to the nearest integer? 9 What is 1381 to the power of 1/7, to the nearest integer? 3 What is the third root of 4241 to the nearest integer? 16 What is the cube root of 218 to the nearest integer? 6 What is the square root of 4680 to the nearest integer? 68 What is 8469 to the power of 1/3, to the nearest integer? 20 What is 230 to the power of 1/4, to the nearest integer? 4 What is the tenth root of 4198 to the nearest integer? 2 What is 773 to the power of 1/2, to the nearest integer? 28 What is 2741 to the power of 1/7, to the nearest integer? 3 What is 9834 to the power of 1/4, to the nearest integer? 10 What is the fourth root of 13299 to the nearest integer? 11 What is the cube root of 663 to the nearest integer? 9 What is 22400 to the power of 1/8, to the nearest integer? 3 What is the square root of 73 to the nearest integer? 9 What is 16411 to the power of 1/2, to the nearest integer? 128 What is the third root of 47878 to the nearest integer? 36 What is the fifth root of 206 to the nearest integer? 3 What is 1904 to the power of 1/2, to the nearest integer? 44 What is 11536 to the power of 1/5, to the nearest integer? 6 What is the square root of 289 to the nearest integer? 17 What is the cube root of 7012 to the nearest integer? 19 What is 1470 to the power of 1/2, to the nearest integer? 38 What is the square root of 3382 to the nearest integer? 58 What is the eighth root of 2002 to the nearest integer? 3 What is the cube root of 42504 to the nearest integer? 35 What is the cube root of 10315 to the nearest integer? 22 What is 18993 to the power of 1/4, to the nearest integer? 12 What is the square root of 7759 to the nearest integer? 88 What is the fifth root of 129560 to the nearest integer? 11 What is the cube root of 2892 to the nearest integer? 14 What is the fourth root of 783 to the nearest integer? 5 What is 9967 to the power of 1/3, to the nearest integer? 22 What is 3547 to the power of 1/2, to the nearest integer? 60 What is 116503 to the power of 1/2, to the nearest integer? 341 What is the fifth root of 3783 to the nearest integer? 5 What is 41864 to the power of 1/9, to the nearest integer? 3 What is the third root of 37106 to the nearest integer? 33 What is the third root of 23512 to the nearest integer? 29 What is the tenth root of 424 to the nearest integer? 2 What is 210 to the power of 1/3, to the nearest integer? 6 What is 142202 to the power of 1/7, to the nearest integer? 5 What is the seventh root of 184496 to the nearest integer? 6 What is the third root of 123 to the nearest integer? 5 What is the square root of 8371 to the nearest integer? 91 What is the cube root of 42161 to the nearest integer? 35 What is 9463 to the power of 1/2, to the nearest integer? 97 What is the square root of 1836 to the nearest integer? 43 What is the cube root of 6065 to the nearest integer? 18 What is 1838 to the power of 1/2, to the nearest integer? 43 What is 3259 to the power of 1/3, to the nearest integer? 15 What is the square root of 617 to the nearest integer? 25 What is the third root of 22147 to the nearest integer? 28 What is the sixth root of 422 to the nearest integer? 3 What is 3439 to the power of 1/2, to the nearest integer? 59 What is the square root of 32617 to the nearest integer? 181 What is 8118 to the power of 1/2, to the nearest integer? 90 What is 10308 to the power of 1/2, to the nearest integer? 102 What is 8287 to the power of 1/3, to the nearest integer? 20 What is 11554 to the power of 1/5, to the nearest integer? 6 What is 78624 to the power of 1/8, to the nearest integer? 4 What is 8243 to the power of 1/7, to the nearest integer? 4 What is 6735 to the power of 1/6, to the nearest integer? 4 What is the cube root of 183737 to the nearest integer? 57 What is 10923 to the power of 1/2, to the nearest integer? 105 What is the tenth root of 68973 to the nearest integer? 3 What is 526 to the power of 1/3, to the nearest integer? 8 What is 333 to the power of 1/3, to the nearest integer? 7 What is the square root of 5838 to the nearest integer? 76 What is the square root of 6908 to the nearest integer? 83 What is 92
{ "pile_set_name": "DM Mathematics" }
1, 2 Let d(g) be the first derivative of 5*g**3/3 - g + 7. Let n be d(-1). Factor -20*f**5 - 8*f**2 - f**4 + 4*f + 16*f**5 + 9*f**n. -4*f*(f - 1)**3*(f + 1) Factor -4/3*n + 0 + 10/3*n**2 + 2/3*n**5 - 2*n**3 - 2/3*n**4. 2*n*(n - 1)**3*(n + 2)/3 Let z(y) be the second derivative of 2*y**7/21 + 2*y**6/15 - 9*y**5/5 - 3*y**4 + 21*y. Factor z(i). 4*i**2*(i - 3)*(i + 1)*(i + 3) Let k(j) be the first derivative of -j**4/14 + 2*j**3/7 + 9*j**2/7 + 10*j/7 + 32. What is f in k(f) = 0? -1, 5 Let n be (-24)/8 - -5*1. Let o(r) be the second derivative of -1/33*r**4 + 0*r**5 + 1/165*r**6 + 0*r**3 + 0 + 1/11*r**n + r. Factor o(u). 2*(u - 1)**2*(u + 1)**2/11 Find v such that 2/11*v**5 - 36/11*v**4 + 0*v + 0 + 0*v**2 + 162/11*v**3 = 0. 0, 9 Let c(a) = 5*a**3 + 18*a**2 + 9*a - 30. Let u(p) = -20*p**3 - 71*p**2 - 38*p + 120. Let r(x) = -9*c(x) - 2*u(x). Determine l, given that r(l) = 0. -3, -2, 1 Let a(t) be the third derivative of t**6/30 - t**5/15 - t**4/3 + 16*t**2. Factor a(r). 4*r*(r - 2)*(r + 1) Let k(z) be the third derivative of -5*z**7/357 + 4*z**6/51 + 67*z**5/170 + 29*z**4/51 + 20*z**3/51 + 41*z**2 - 2. Suppose k(i) = 0. What is i? -1, -2/5, 5 Let j be (-2)/4*498/(-360). Let l = -1/40 + j. Determine k, given that -l*k - 4/3 + 2/3*k**2 = 0. -1, 2 Let r(u) be the third derivative of u**9/151200 - u**7/4200 + u**6/900 + 2*u**5/5 + 20*u**2. Let l(k) be the third derivative of r(k). Factor l(v). 2*(v - 1)**2*(v + 2)/5 Let p(u) be the second derivative of 13*u + 1/28*u**4 + 0 - 3/14*u**2 + 0*u**3. Factor p(h). 3*(h - 1)*(h + 1)/7 Suppose 5*r + 3*d - 28 = 0, 7 - 3 = -r + d. Let 5*g**4 - 95/4*g**3 - 25/4*g + 115/4*g**r - 15/4 = 0. Calculate g. -1/4, 1, 3 Suppose -4*o - v = -15, 22*v - 27 = 4*o + 17*v. Let 0 - x + 1/3*x**o = 0. Calculate x. 0, 3 Let g(w) be the second derivative of 0*w**2 + 0 + 1/20*w**5 + 1/6*w**4 + 21*w + 0*w**3. Solve g(o) = 0. -2, 0 Let y(q) = -q**3 - 6*q**2 + 5*q - 10. Let i be y(-7). Suppose 0 = i*d + d. Factor 8*c**3 - 10*c**3 - 2*c**4 + d*c**4. -2*c**3*(c + 1) Let n(a) be the first derivative of a**4/22 + 2*a**3/3 + 19*a**2/11 + 18*a/11 - 56. Factor n(i). 2*(i + 1)**2*(i + 9)/11 Let z(v) be the second derivative of 0*v**3 - 1/100*v**5 - 8*v + 1/40*v**4 + 0 + 2*v**2. Let q(h) be the first derivative of z(h). Factor q(f). -3*f*(f - 1)/5 Let n(y) = 36*y + 6*y**2 - 1 + 4*y**2 - 26*y - 24. Let q(t) = 7*t**2 + 7*t - 17. Let z(u) = 5*n(u) - 7*q(u). Factor z(r). (r - 2)*(r + 3) Let k(v) be the first derivative of 2*v**3/9 - 2*v**2 - 32*v/3 + 65. Factor k(d). 2*(d - 8)*(d + 2)/3 Let -6 + 125*r**3 + 64*r**2 + 35*r + 70 + 205*r + 236*r**2 = 0. What is r? -4/5 Let l(n) be the second derivative of -1/32*n**4 - 1/32*n**5 - 1/120*n**6 + 0*n**2 - 2/3*n**3 + 0 + 5*n. Let b(m) be the second derivative of l(m). Factor b(i). -3*(i + 1)*(4*i + 1)/4 Let a(r) be the third derivative of 0*r**3 + 0*r + 19*r**2 + 0*r**4 - 1/80*r**5 - 1/560*r**7 + 3/320*r**6 + 0. Solve a(x) = 0 for x. 0, 1, 2 Factor -16*o**2 + 448*o + 41*o**2 + 266*o - 16*o**2 - 12*o**2 - 42483. -3*(o - 119)**2 Let a(z) be the third derivative of 1/1050*z**7 + 1/600*z**6 + 0 + 0*z - 1/15*z**3 - 1/24*z**4 + 21*z**2 - 1/100*z**5. Let a(w) = 0. What is w? -1, 2 Let c(j) be the second derivative of j**6/6 - 2*j**5 - 25*j**4/2 - 80*j**3/3 - 55*j**2/2 - j + 14. What is n in c(n) = 0? -1, 11 Let a(x) be the second derivative of -x**6/90 + x**5/15 + x**4/18 - 2*x**3/3 - 57*x**2/2 - x + 1. Let b(d) be the first derivative of a(d). Factor b(n). -4*(n - 3)*(n - 1)*(n + 1)/3 Let r(o) be the first derivative of 9*o**4/28 - 23*o**3/7 + 60*o**2/7 + 48*o/7 - 166. Find s, given that r(s) = 0. -1/3, 4 Let y = 76 + -74. Factor -4*t**3 - 25 + y*t**2 + 27 + 2*t**5 - 6*t**2 + 2*t + 2*t**4. 2*(t - 1)**2*(t + 1)**3 Let h(c) = -3*c**4 + 15*c**3 + 39*c**2 + 21*c - 7. Let f(l) = 3*l**4 - 15*l**3 - 39*l**2 - 21*l + 6. Let w(p) = 7*f(p) + 6*h(p). Solve w(d) = 0. -1, 0, 7 Let r(z) be the second derivative of -z**7/280 - z**6/60 + z**5/40 + z**4/4 - 35*z**3/6 + 33*z. Let a(x) be the second derivative of r(x). Solve a(h) = 0. -2, -1, 1 Let a(m) = -5*m**3 + 11*m**2 + 2. Let t(y) = 4*y**3 - y**2 - 1. Let h(n) = -a(n) - 2*t(n). Factor h(q). -3*q**2*(q + 3) Let o = 32/3 - 21/2. Suppose 8*y + 32/3 + o*y**3 + 2*y**2 = 0. Calculate y. -4 Let d(x) = -16*x**4 - 8*x**3 - 4*x**2 + 4. Let n(g) = g**5 - 2*g**4 - g**3 - g**2 + 1. Let y(i) = -d(i) + 4*n(i). Let y(s) = 0. Calculate s. -1, 0 Factor -k**2 - 1/3 + 1/3*k**3 + k. (k - 1)**3/3 Let u(m) be the third derivative of 2*m**7/105 - 4*m**6/15 - 8*m**5/5 + 16*m**4/3 + 160*m**3/3 - 22*m**2. Suppose u(j) = 0. What is j? -2, 2, 10 Let o(d) be the first derivative of -14/45*d**3 + 9 + 8/15*d**2 + 8/15*d - 1/6*d**4. Let o(v) = 0. Calculate v. -2, -2/5, 1 Let k(w) be the second derivative of w**6/135 - w**5/45 + w**4/54 - w - 62. Factor k(a). 2*a**2*(a - 1)**2/9 Let a = 104 - 144. Let x = a - -43. Factor 0 + 0*r + 1/5*r**2 - 1/5*r**x + 1/5*r**5 - 1/5*r**4. r**2*(r - 1)**2*(r + 1)/5 Let q(p) be the second derivative of -7/1620*p**6 + 1/27*p**4 - 2/3*p**3 + 0*p**2 + 0 + 1/45*p**5 - 2*p. Let v(n) be the second derivative of q(n). Factor v(k). -2*(k - 2)*(7*k + 2)/9 Let c(n) be the third derivative of -n**6/165 + n**5/330 - 55*n**2. Let c(d) = 0. What is d? 0, 1/4 Factor -180*a - 68 + 36*a**3 + 164*a**4 - 53*a**4 - 52*a**4 - 55*a**4 + 52*a**2 - 132. 4*(a - 2)*(a + 1)*(a + 5)**2 Let w(x) be the first derivative of 6*x + 0*x**2 + 3 - 1/15*x**3 - 1/50*x**5 + 1/15*x**4. Let k(v) be the first derivative of w(v). Factor k(a). -2*a*(a - 1)**2/5 Let x(h) be the second derivative of -7*h**6/60 + h**5/20 + 91*h**4/24 + 29*h**3/6 - 6*h**2 - h - 126. Find l, given that x(l) = 0. -3, -1, 2/7, 4 Let -6*a**5 + 2*a**5 + 34*a - 34*a + 459*a**4 + a**5 = 0. Calculate a. 0, 153 Let q = 398 - 1178/3. Factor q + 0*w - 4/3*w**2. -4*(w - 2)*(w + 2)/3 Determine p so that -108*p**3 + 134*p**4 - 22*p**4 + 3193*p - 1599*p + 16 - 236*p**2 - 1594*p = 0. -1, -2/7, 1/4, 2 Let v(w) be the first derivative of -w**3/4 - w**2 - w - 12. Solve v(y) = 0. -2, -2/3 Let m = -2507/13 - -193. Let z be (1*(-2 + 4))/(22 - 9). Let -m*s**2 - 4/13*s - z = 0. Calculate s. -1 Let d = -20 + 20. Determine a, given that d*a + 2*a**2 - 4 + 4*a - 7*a + a = 0. -1, 2 Let z(b) be the second derivative of 0*b**3 - 1/18*b**4 - 1/45*b**6 + 1/15*b**5 + 0 - 6*b + 0*b**2. Find k such that z(k) = 0. 0, 1 Suppose -2/9*k**3 + 0*k + 2/9*k**5 + 0 + 2*k**4 - 2*k**2 = 0. What is k? -9, -1, 0, 1 Suppose 19153*f = 19152*f + 2. Factor -86/19*b + 10/19*b**f - 36/19. 2*(b - 9)*(5*b + 2)/19 Solve 2/3*u**4 + 0 - 17/3*u**2 - 7/6*u - 23/6*u**3 = 0 for u. -1, -1/4, 0, 7 Let m(s) be the second derivative of 0*s**2 - 1/3*s**3 + 1/80*s**5 + 6*s - 7/48*s**4 - 2. Factor m(a). a*(a - 8)*(a + 1)/4 Let r = 35 + -21. Suppose 0 = -3*f - 5*l + 11, -5*l + l + r = 5*f. Determine n, given that 0*n - n - 4 + 6*n**3 - 4*n**4 - 5*n + 8*n**f = 0. -1, -1/2, 1, 2 Let z(m) = -5*m**4 + 4*m**3 + 6*m**2 - 4*m - 1. Suppose 3 = -3*f - 9. Let x(t) = -4*t**4 + 3*t**3 + 5*t**2 - 3*t - 1. Let g(s) = f*x(s) + 3*z(s). Factor g(i). (i - 1)**2*(i + 1)**2 Suppose 0 = -3*x + 5*j + 9, x - 1 - 2 = 5*j. Factor -x*h**4 - 5*h**3 - 10*h**2 + 2*h**4 + 6*h**4. 5*h**2*(h - 2)*(h + 1) Let t(b) = b**3 + 17*b**2 + 31*b + 17. Let m be t(-15). Let q(w) be the first derivative of 4/5*w**m - 5 - 8/5*w**3 - 7/10*w**4 + 0*w. Factor q(u). -2*u*(u + 2)*(7*u - 2)/5 Let x be (3 - 315/(-20))/(22/256). Let l = x - 218. Let -4/11*v**2 - l*v**3 + 0 + 0*v = 0. Calculate v. -2, 0 Let l(y) be the first derivative of -y**3/6 - 7*y**2/4 + 4*y - 22. Let l(r) = 0. What is r? -8, 1 Factor -222/5*l + 44 + 2/5*l**2. 2*(l - 110)*(l - 1)/5 Solve 0 + 3/8*b**3 + 3/8*b**2 + 0*b = 0. -1, 0 Solve -34*c**2 + 16*c + 10*c**2 + 8*c**2 + 13*c**2 + 59*c = 0 for c. 0, 25 Suppose 2*w = 6, 2*d = 2*w + 6 + 24. Suppose -3*j = 2*j - y - 14, j - 4*y - d = 0. Suppose -2/5*q**j - 2/5*q + 4/5 = 0. Calculate q. -2, 1 Let o(b) be the third derivative of b**7/105 - 13*b**6/60 + 238*b**2. Factor o(f). 2*f**3*(f - 13) Suppose -15 = -4*t - 18*x + 21*x, -5*t + 5*x + 25 = 0. Find u, given that -1/6*u**5 + t*u**4 - 1/6*u + 0 + 0*u**2 + 1/3*u**3 = 0. -1, 0, 1 Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3. (t - 1)**2*(t + 1)**3 Suppose 1080 = 14*
{ "pile_set_name": "DM Mathematics" }
test common factor of i and j? 27 Let h = 15 + -41. Let y be (-273)/h*(-2)/(-3). Calculate the greatest common divisor of y and 77. 7 Suppose 1236 = -2*z + 4*x, -x - 1845 = 3*z + 2*x. Let r be z/(-63) + (-6)/(-27). What is the greatest common divisor of r and 90? 10 Let f(d) = d**2 + 12*d - 18. Let k be f(-14). What is the highest common divisor of 45 and k? 5 Let a(k) = -k + 25. Let v be a(19). Suppose -11 = -2*s - y + 10, -s - 2*y = -6. What is the greatest common divisor of v and s? 6 Let k = 3410 + -3314. Suppose 4*i - 56 = 4*c, 4*i + 2*c - 3 - 41 = 0. Calculate the greatest common divisor of k and i. 12 Let q(d) = d**3 + 18*d**2 + 16*d + 16. Let r(v) = v**3 + 21*v**2 + 19*v - 37. Let b be r(-20). Let k be q(b). Calculate the greatest common divisor of 44 and k. 11 Suppose 5*o - 19 = 26. Let t = 82 - 55. Calculate the highest common divisor of t and o. 9 Let t = 79 - 42. Let z = t + 26. Calculate the greatest common divisor of z and 21. 21 Suppose -3*b = -488 - 79. Calculate the highest common divisor of 108 and b. 27 Suppose 0 = 3*w + 6, -5*b + 185*w - 184*w + 102 = 0. Calculate the highest common factor of b and 335. 5 Suppose 5*u + k - 40 = 0, -3*u - 4*k + 3 = -4. Calculate the greatest common divisor of u and 6. 3 Let f(t) = 3*t**3 - 10*t**2 + 20*t - 16. Let m be f(4). Calculate the greatest common factor of 20 and m. 4 Suppose 30*w - 2508 = 19*w. What is the highest common factor of 57 and w? 57 Suppose d = 41 + 15. Suppose 4*u + 2*k = d, -3*k + 44 = 2*u + 2*k. What is the highest common divisor of u and 60? 12 Let h = 1962 + -1002. What is the greatest common divisor of 15 and h? 15 Let z(t) = 2*t**2 - 9*t - 5. Suppose -h = -2*h - 3. Let u be z(h). What is the highest common factor of u and 5? 5 Let s be (4 - 24/(-6))/1. What is the greatest common divisor of 22 and s? 2 Let x = -21 - -35. Let m = -91 - -97. Let t be 4/m + (-1504)/(-12). Calculate the highest common divisor of x and t. 14 Suppose 0 = -4*c + 8*c - 16. Let y be c/(2 - (-45)/(-25)). What is the highest common factor of y and 160? 20 Let w(x) = 277*x**2 - 9*x. Let t be w(-1). Calculate the greatest common factor of 52 and t. 26 Let k(y) be the third derivative of -y**4/12 - 5*y**3/2 + y**2. Let p be k(-11). Suppose 3*c - p = 2*c. What is the greatest common divisor of c and 1? 1 Let c be (-4)/(-8) + (-18)/(-4). Suppose 149 = 2*j - 5*m, j - c*j = -5*m - 293. What is the highest common divisor of 9 and j? 9 Suppose 0*k = -26*k + 1404. What is the greatest common divisor of 405 and k? 27 Suppose -3*q - 5*o + 4 = -0*q, -4*q + 3*o = -44. Suppose q = -r + 77. Calculate the highest common factor of 46 and r. 23 Suppose -4*o - 142 = -2*f, 2*f = -0*f - 2*o + 172. Let g = 16 - 7. Calculate the greatest common factor of g and f. 9 Let n(d) = -d + 12. Let t be n(6). Let p = t + 44. Let o(z) = z**2 + 6*z + 4. Let k be o(-8). Calculate the highest common factor of k and p. 10 Suppose -3*g - 555 = -3*z, 236 = 3*z + g - 327. Calculate the greatest common factor of 17 and z. 17 Let a(f) = -7 + 2*f**2 + 1 - 11*f + 0 - 11. Let y be a(7). Let h be (-4)/8*(y - 92). What is the greatest common divisor of 110 and h? 22 Let g be (-2)/(12/(-15))*-2 - -117. What is the greatest common divisor of 64 and g? 16 Let l = 698 - 671. Calculate the greatest common factor of l and 315. 9 Suppose 0 = -4*k + 24 + 28. Suppose c - 2*s = 4 + 5, -5*c - 5*s = -75. What is the greatest common divisor of c and k? 13 Let s be (23*-1)/(-9 + (-385)/(-44)). Calculate the highest common factor of 253 and s. 23 Suppose s - 2*s + 20 = 0. Let b = 38 - s. Calculate the highest common divisor of 45 and b. 9 Let n = 12 - 8. Suppose d - 5*x = 45, -4*x = n + 8. Calculate the greatest common divisor of 240 and d. 30 Let x(a) = -a**3 + a**2 + 105. Suppose -6 = 4*p - 6. Let w be x(p). Suppose 3*y = q + 47, -3*y + 6*q = 3*q - 51. What is the highest common factor of y and w? 15 Suppose -h - 9 = -29. Suppose -h = d - 5*d. Suppose -3*o - 2*t + 21 = -2*o, -15 = -d*t. Calculate the highest common factor of 60 and o. 15 Suppose 15 = 6*j - 3. Suppose -j*d = -2*f + 5*f - 84, -3*d = 6. Calculate the greatest common divisor of 90 and f. 30 Let d(b) be the first derivative of 4 + 1/3*b**3 + 0*b**2 - b. Let g be d(2). What is the greatest common divisor of 9 and g? 3 Let i be 1/(1/(-2))*-2. Suppose i*g - 2 = m, -3*m - 2*g + 35 + 1 = 0. Let d be 92/6 - (0 + 4/12). Calculate the highest common factor of m and d. 5 Suppose -2*f - 5*n = -2*n - 1531, -n = -3*f + 2313. Calculate the greatest common factor of f and 44. 22 Suppose -426 = -14*a - 146. What is the greatest common factor of a and 40? 20 Suppose 2 = -2*q - 4*u, 5*q - 4*u = 24 - 1. Let y = 2 + q. Let k be 21 + (3 - (-4 - -3)). What is the highest common factor of k and y? 5 Let o be -10*-3*(-1)/(-5). Suppose 0 = -0*f + 2*f - o. Suppose 38 = 4*u - f*k - 67, -4*k = 12. What is the greatest common divisor of u and 36? 12 Let x be -1*16/(4 + -8). Suppose -5*n + 10*n = 4*w - x, -n - 1 = -w. Suppose -2*z + n*z + 22 = 0. Calculate the highest common factor of 55 and z. 11 Let m be 44/8 - (-4)/(16/2). Calculate the highest common factor of m and 6. 6 Let l = 90 - 85. Calculate the greatest common factor of l and 60. 5 Let u be ((-12)/(-15))/(1/60). Let d = 54 + -23. Suppose 4*f + d - 3 = 4*l, 5*l = -5*f + 25. What is the greatest common divisor of l and u? 6 Suppose 25*p - 720 = p. Let b be -6 + (-104)/(-18) + 812/9. Calculate the greatest common divisor of b and p. 30 Suppose 4*n - 172 = -5*z, 3*n - 3*z - 204 = -n. Suppose 0 = 2*s - 2*t - 20, -4*t + 9 = -3*s + 37. What is the greatest common factor of n and s? 12 Let n(o) = 2*o + 6. Let x be n(5). Calculate the highest common factor of 16 and x. 16 Let u be (-15)/(-105) + ((-1341)/(-21) - 1). Calculate the highest common factor of u and 882. 63 Suppose -4*x - 12 = 0, -4*g + 30 = -5*x - 41. Calculate the highest common divisor of g and 602. 14 Suppose 5*y + 145 = 5*x, -4*x + 100 + 1 = -y. What is the greatest common divisor of x and 12? 12 Let o be 1/3*-1*-33. Let q be (-4)/(-1) + -13 + o. Calculate the highest common divisor of q and 3. 1 Let u(i) = -i**3 + i**2 + 7*i + 6. Let q be u(-4). Suppose 2*y = -4*d + q, 25 = -3*y - 4*d + 112. What is the greatest common factor of 29 and y? 29 Let d(m) be the third derivative of 5*m**4/24 + 7*m**3/2 + 40*m**2. Let f be d(-3). Suppose 0 = -0*j - j + 3. Calculate the greatest common divisor of j and f. 3 Suppose -3*l + 0*l + 12 = 0. Let g be 3/(13/3 - l). Suppose 2*y = g + 1. What is the highest common factor of 45 and y? 5 Let k be (-4 - -4) + -6 + 32. What is the greatest common divisor of k and 26? 26 Let t(d) = -d + 13. Let k be t(7). Suppose -8*c + k*c + 8 = 0. Calculate the highest common divisor of 20 and c. 4 Let r(a) = -2*a**2 - 11*a - 3. Let k be r(-4). Let j = -6 + 8. Suppose 0 = z - j*o - 8, 4*z = o + 42 - 17. What is the greatest common divisor of z and k? 3 Suppose r + 0*r - 46 = -4*d, 5*r + 4*d = 246. What is the greatest common divisor of 20 and r? 10 Suppose h + 3 - 2 = -4*z, 2*h + z = 19. Suppose -2*d + 4 + 0 = 0. Suppose 99 = d*c - c. What is the highest common factor of c and h? 11 Suppose 15*h + 1242 = 24*h. Suppose 3*w + 2*w = 0. Suppose w = 5*p - 6*p + 23. Calculate the highest common factor of h and p. 23 Let o = -360 + 414. Calculate the highest common divisor of o and 162. 54 Let v(b) = 2*b + 54. Let h be v(-20). Let i(w) = 5*w**2 + 4*w**2 + 5 - 6. Let n be i(2). Calculate the highest common factor of n and h. 7 Suppose -21*w = -51 - 159. What is the highest common factor of w and 90? 10 Suppose -5*n - 6 = 2*l, 4*l - 1 - 1 = -3*n. Suppose -6 - 9 = 3*o, -l*q - 4*o + 4 = 0. What is the highest common factor of 6 and q? 6 Let h(f) = f**3 - 5*f**2 + 5*f - 17. Let z(l) = 8*l**2 + 2*l - 4. Let w be z(1). Let d be h(w). Calculate the highest common factor of d and 14. 7 Let o be (-107)/(-3) - -3 - (-18)/(-27). Calculate the greatest common divisor of 114 and o. 38 Let v = -16 - -24. Let c = v - 4. Let b be 8/(-2 - (-8)/3). What is the highest common factor of c and b? 4 Let l(f) = -10*f - 1. Let c be l(-3). Let j = 44 - c. Let i be (-172)/(-20) - 9/j. Calculate the highest common divisor of 16 and i. 8 Let g = 85 - -32. Let f(b) = -b**2 + 4*b - 7. Let n be f(5). Let v = 1 - n. What
{ "pile_set_name": "DM Mathematics" }
arest to -2/7? (a) -0.1 (b) z (c) -0.2 c Suppose -5*m = 0, -2*u - 2*u + 2*m = 0. Let i = -2 + 2. Let q = 1.8 - -0.2. Which is the nearest to i? (a) q (b) 0.2 (c) u c Let y = 10 - 10. Let c(r) = r**2 - 4*r + 4. Let n be c(3). Let g be 2/(2 + 16/(-10)). What is the nearest to y in n, g, -0.3? -0.3 Let w = 10.89 + -11. Let n = w - -0.01. Which is the nearest to n? (a) -3 (b) 0 (c) -4/3 b Suppose 20 + 10 = -6*w. Let l = -1 - -3. Which is the closest to -2? (a) w (b) -0.5 (c) l b Let p = -1 - -0.8. Let b = 0.3 + p. Suppose -8 = 3*v + a, -6*a = 4*v - 5*a + 10. What is the nearest to v in b, 0.3, -2/5? -2/5 Let n = -0.468 - -0.068. What is the nearest to 4 in n, -2/17, 0? 0 Let u = -14 + 19. Which is the closest to 9? (a) u (b) 3 (c) -0.2 a Let q = 140 + -139.98. Which is the nearest to -1? (a) q (b) 0 (c) 1 b Suppose p = 1, -3*d + 3*p + 0 = -12. What is the nearest to -0.2 in 3/5, d, -2/13? -2/13 Let u be 0 - 0 - (-8)/(-14). What is the nearest to -0.2 in u, -5/6, 2? u Let o be ((-22)/44)/((-10)/(-12)). What is the closest to -3 in -0.5, o, 1/3? o Let g be 91/(-195) - 1/5. Which is the nearest to g? (a) 1/5 (b) -0.1 (c) -3 b Let y be (-1)/(-5)*11*-1. Let i = y + 89/45. What is the nearest to -1 in 3/2, 1, i? i Let u = 0.8 - 1. Suppose 0 = 3*t - 2*t + 4*h + 2, t = 5*h + 7. Which is the closest to u? (a) 0.4 (b) -1 (c) t a Let f be (-5)/((5 - 8)*(-2)/6). Which is the nearest to -0.3? (a) 2/3 (b) -2 (c) f a Let n = -0.5 - -0.3. Let p = 13/6 - 5/2. Which is the closest to n? (a) p (b) 0 (c) -1 a Let z = 2 + -2. Let q = -7.7 + 0.7. Let y = q - -10. What is the nearest to z in 1/10, -1, y? 1/10 Let h = 6 - 9. Let w = -29 + 25. Which is the closest to 1? (a) 4 (b) w (c) h a Let o = 0.09 - -0.21. Which is the nearest to 1? (a) o (b) 5 (c) -1 a Suppose -u = 3*q + 10, -u + 1 - 5 = q. Let s = 2 + -1.5. Let k = 1.02 + -0.02. What is the nearest to u in 4, k, s? s Let o = 111 + -111. Which is the nearest to 1/16? (a) -3 (b) -0.1 (c) o c Let k = 1.7 - 2.1. Let w = 1/23 - 55/207. Which is the closest to 0? (a) k (b) 0.2 (c) w b Let d be 12/42 - (-2)/42. Let k = -3 + 2. Let x be 0*((-10)/4 - -2). What is the nearest to k in d, -2/23, x? -2/23 Let o = 0.04 + 0.86. Let s = o - 0.6. Let f = -0.1 - -0.3. Which is the nearest to -1/3? (a) f (b) -1/3 (c) s b Let v = 0.2 + -0.2. Let w = 17/33 - 2/11. Which is the nearest to v? (a) 7 (b) -0.4 (c) w c Let i = 3 - 3.5. Let u be 1/(4 - (-14)/(-4)). What is the closest to u in -0.1, i, -0.2? -0.1 Let c = 130 - 394/3. What is the closest to -0.2 in 3, c, 2/21? 2/21 Let w = 3 - 3.2. Let i be (42/15)/(16/(-100)). Let u = i - -18. Which is the nearest to u? (a) -2/9 (b) 2/3 (c) w b Suppose 0 = -g - 5. Which is the closest to 0.2? (a) g (b) 0.1 (c) -0.5 b Let u = 0.13 + 2.87. Which is the nearest to 3? (a) u (b) -2/7 (c) -3 a Let x = -4473/17 - -263. Which is the nearest to -0.1? (a) -5 (b) x (c) 1 b Let f(t) = -t**3 - 6*t**2 - t - 3. Let x be f(-6). Suppose -x = -2*r - r. Which is the nearest to r? (a) -1/2 (b) -2 (c) 0.5 c Suppose 2*w = -0*w. Let a be 0 + (1 - 2) + 0. What is the closest to 0.1 in w, -4, a? w Let b = -2.8 - -14.8. Let j = -0.01 - 9.99. Let q = b + j. What is the nearest to q in 1/4, 4, -0.4? 1/4 Let x = 0.1 + -0.3. Let n = 93/91 - 17/13. Let d = 0.64 + -0.14. Which is the nearest to n? (a) 1 (b) x (c) d b Let m = -125 + 122. What is the nearest to -0.1 in 2/9, m, -2/3? 2/9 Let u = 2.1 + -2. Let t = 12 + -11.9. What is the closest to t in -2/3, u, -2? u Suppose 3*h + 4 = 5*h. Suppose -4*z = -5*x - 8, -z + 2*x + 0*x + h = 0. Which is the closest to 0? (a) -1/7 (b) z (c) -0.4 a Let y = 49 + -195/4. Which is the closest to -0.1? (a) 0.4 (b) 2 (c) y c Let y be (376/28)/(81/(-14)). Let s = 1/81 - y. Let w = -2 + s. Which is the closest to w? (a) 1 (b) -2/13 (c) 3 b Let g = 31/5 - 29/5. Let t = -2 + 3. Let f be 176/(-363) - 4/(-6). Which is the nearest to t? (a) g (b) f (c) -4 a Let m(q) = 2*q**2 - 2*q + 1. Let a be m(3). Suppose 3*b = a + 2. What is the nearest to 0.1 in 2, -0.3, b? -0.3 Let t = -34 - -34.01. Let k = -2.24 + 0.25. Let l = k - t. Which is the nearest to 0.1? (a) -1/3 (b) 0.5 (c) l b Let i = -234 + 1635/7. What is the closest to 2 in i, -2, -3? i Let k(p) = -2*p + 2. Let c be k(4). Let h be (11 + c)/(2 - 1). What is the nearest to 1/4 in -0.4, -4, h? -0.4 Let s be 7/(-28)*(-8)/(-14). Let m = -3 + 4.1. Let p = -0.1 + m. Which is the nearest to p? (a) 3 (b) s (c) 1/3 c Let n be -5 + (-1803)/(-378) + (-6)/(-21). Which is the closest to n? (a) 5 (b) 0.1 (c) -4 b Let d = 5.6 + -2.6. Which is the nearest to d? (a) -1/3 (b) -1 (c) 0.1 c Let t = -0.26 - 0.74. Let p be (-1)/(-2)*2/(-7). What is the closest to 1 in p, 4, t? p Let x = 6 - 2. Let i(z) = z**3 - 15*z**2 - 17*z + 16. Let m be i(16). What is the nearest to 0 in m, -0.4, x? m Let v be (-12 + 12)/(1*2). Let o = 3 + v. Which is the closest to -1? (a) -2/11 (b) o (c) 2/5 a Let z = 0.09 - 6.59. Let o = 7 + z. What is the nearest to -1/2 in -1/2, o, -4? -1/2 Suppose 2*i = 5*i. Let y be -1 + i - 24/(-60). Which is the closest to -3? (a) 1 (b) -1 (c) y b Let u = 8 - 13. Let t = -8 - u. Let y = t - -3.4. What is the closest to -1 in -1, -2, y? -1 Let b = -0.08 - 1.92. Let t = 0.16 + -0.16. What is the nearest to b in 1/5, 0.1, t? t Let r = -2.6 - -1.6. Which is the nearest to 1/3? (a) r (b) 0.4 (c) 1 b Let f be 4/(-10) - (-41922)/405. Let y = f - 103. Which is the nearest to 2/7? (a) 2/19 (b) y (c) 1/4 c Let j = -12/19 - -146/171. Let v be 5*2/(-10)*2. Let t = 0 - -0.2. Which is the closest to v? (a) j (b) t (c) 1 b Let n = -0.1 - -0.2. Let h = 0.2 - 0.1. Let f = n - h. Which is the closest to f? (a) -2/3 (b) 2 (c) -5 a Let c = -4 + 3. What is the nearest to 2 in 1/2, c, 0.1? 1/2 Let g = -27 - -29.3. Let c = -2.2 + g. What is the nearest to -0.1 in 2, c, -2/3? c Let f = 1 - -1. Suppose -3*z + 13 = -2. Let g = -5 - -4.9. Which is the closest to g? (a) 2/9 (b) z (c) f a Let n = -7.3 + 7. Let o = n + -0.1. Which is the nearest to -0.1? (a) o (b) -0.3 (c) 0.4 b Let w = -0.2 - 0.8. Let q = -0.267 - -0.227. Which is the nearest to -1? (a) w (b) q (c) -1/2 a Let t = 3.11 + -0.11. Which is the nearest to -1/3? (a) 1/2 (b) -3 (c) t a Let p = -3.7 + 6. Let d = 0.3 - p. What is the closest to -1/2 in -3, -4, d? d Let q(g) = -g - 5. Let z be q(-5). What is the closest to -1/2 in -4, z, -3? z Let m = 3 - 3.3. What is the closest to -1 in m, -1, 2/3? -1 Let f = 7.9 + -8. What is the closest to 2 in 1/4, f, 5/2? 5/2 Let j(k) = -3*k - 6. Let s be j(-2). What is the nearest to s in -4/3, -6/23, 1/5? 1/5 Let f = 92.7 + -97. Let x = f + 4. Let g = -37/4 + 10. What is the closest to 0.1 in x, g, -2? x Let y = -51.53 + 52. Let m = y - -0.03. Which is the nearest to 0.1? (a) m (b) 1/3 (c) 3/2 b Let d(z) = z + 9. Let v be d(-9). Suppose k - 1 = 1. Suppose 3*l = -k*l. What is the nearest to v in 5, 3, l? l Let c = 224 - 1337/6. Let g = c + -5/3. What is the nearest to -0.2 in g, 0, -1? 0 Let o = 48 + -47.7. Let w = -2050/9 - -228. Which is the nearest to -1? (a) 4 (b) o (c) w c Let w be (0 + 0)/(2/1). Let m be (138/207)/(2/12 + 0). What is the nearest to 2/5 in -6/11, w, m? w Let u = 3 - 2. Let n = 0.263 - -0.037. What is the closest to 0 in u, -0.2, n? -0.2 Let c = 16.5 - 8. Let u = 8 - c. What is the closest to 0.1 in 4/5, u, -3? u Let q = 6 - 0. Let y = q - 6.6. Let n = y - -2.6. Which is the closest to 2/5? (a) 0.5 (b) n (c) -2 a Let p = -6/11 + 45/22. What is the closest to p in -1/4, 0.1, 0.4? 0.4 Let x = -472/9 + 158/3. Let u = 0.6 + -0.1. Which is the closest to 1? (a) 1/6 (b) u (c) x b Let s be (-2)/(-20) - 3/6. What is the closest to -1 in s, -0.3, 2? s Let v be (20/(-30))/(42/27). Which is the nearest to -1/5? (a) v (b) -3 (c) -1 a Let z = -4 + 0. Let q = -0.33 - -0.53. Which is the closest to 2? (a) q (b) -2 (c) z a Let f = 47 - 17. Let v be 32/f + 2/(-5). Let a = 5.7 - 6. What is the nearest to v in 1/5, a, 3? 1/5 Suppose -d + 4 = -5*d. Let w = -28 - -27.9. What is the closest to w in d, 2, 5/4? d Let u = 30/17 + -69/68. Which is the nearest to 1? (a) u (b) -0.3 (c) 2 a Let j = 0 - 0.05. Let d = -4.05 - j. Let x = -0.38 + 0.08. W
{ "pile_set_name": "DM Mathematics" }
138, -h - 4 = 7*j for j. 0 Solve -4*a = 2*h + 10, -100*a + 97*a - 8 = 2*h for h. -1 Solve 0 = -3*y - n + 3, 2*y - 2*n + 3*n + 9*n = -26 for y. 2 Solve -x + 345 = b + 339, -3*x - 2*b + 14 = 0 for x. 2 Solve 3700*t + 4*i - 32 = 3699*t, -4*i = -28 for t. 4 Solve -1062*q + 1059*q + 2*p - 7 = 0, -p - 16 = 5*q for q. -3 Solve -3*n - 670 = -67*j, -2*n + 5 - 15 = -j for j. 10 Solve -v - 14 = 85681*b - 85682*b, -v - 4*b - 24 = 0 for v. -16 Solve 2*r + 5 = 4*v - 7, -4*r + 3*v - 4 = 0 for r. 2 Solve b = -5*r + 27, -r - 5*b + 1663 - 1648 = 0 for r. 5 Solve 0 = -5*l - 3*m - 53, -17*l - 61*m + 63*m - 46 = 0 for l. -4 Solve k + 31*n - 21 = 35*n, -5*n - 15 = k for k. 5 Solve 5*v + 19 = 24, 0 = 5*d + 4*v - 4 for d. 0 Solve -y = 42*n + 21, 9*y = -3*n + 6*y - 63 for n. 0 Solve 3*o - 3 = -3*v, v + 24 = 2*o + 37 for v. 5 Solve -3 = -p - 4*x, -2*p + x = -4*p - 1 for p. -1 Solve -5*d = f + 12, -d + 0*d = 4 for f. 8 Solve -2*c + 56 = 4*m, -3*c = -4*m - 1563 + 1629 for m. 15 Solve -6*u + l + 34 = 0, -64*u = -67*u + 4*l + 31 for u. 5 Solve -y - 3*i = 865 - 851, 21 = 6*y - 3*i for y. 1 Solve 0 = 4*n + 785 - 801, -2*n + 18 = 2*l for l. 5 Solve 8 = -3*r - a, -55*r + 1 = -54*r + 4*a for r. -3 Solve m = -3*s + 19, 318*m - 322*m = -15*s + 32 for s. 4 Solve -5*p + 5*a + 17 = -18, 19*p + 59 = -5*a for p. -1 Solve z + 614*o - 16 = 617*o, 36 = 4*z - 5*o for z. 4 Solve -j - 1172 + 1169 = -0*k + k, -j = 2 for k. -1 Solve 56*l - 9 = 55*l + 2*h, -5*l + 4*h = -3 for l. -5 Solve 4*q = r + 36, 3*r + 3*q - 100 + 88 = 0 for r. -4 Solve 0 = 2*t - 2*j + 4, 5*t + j + 4*j + 3585 = 3625 for t. 3 Solve d - 4*x = -7, 117*d - x - 8 = 120*d for d. -3 Solve 20 = -41*x + 46*x - 3*s, 3*x - 2*s - 12 = 0 for x. 4 Solve -6*i + 2*i + 47 = 3*u - 0*u, 4*i = 44 for u. 1 Solve n + 5*x = -1 + 3, -372*n + 376*n = -5*x - 7 for n. -3 Solve v + p = 2, 3*v - 170531*p + 6 = -170528*p for v. 0 Solve 3154*p + 16 = 3158*p - 2*f, -5*f = -4*p + 22 for p. 3 Solve 4*d = -4*g - 32, -2*d - 16 = 312*g - 316*g for g. 0 Solve -74*l - 11 = -r - 70*l, 7*r - 4*l - 53 = 0 for r. 7 Solve 10 = a + 4*m, 4*m = -636*a + 632*a + 40 for a. 10 Solve 2*u - 59 + 23 = -3*k, -2*u - 2*k + 36 = 0 for u. 18 Solve 4 = 3*d + 5*k, 53891*k - 53896*k + 1 = 2*d for d. 3 Solve 2*s - 2*k + 976 = 982, -k + 1 = 3*s for s. 1 Solve -2*z = -6*z + 5*z - 2*i + 7, 91 = -18*z + i for z. -5 Solve 34 = 4*r + 2*z, 0 = -2508*r + 2503*r + 2*z + 29 for r. 7 Solve -3*o = 418*w - 413*w + 15, 2*w + 6 = 0 for o. 0 Solve 4*d - 2303 + 2284 = -i, -5*i - 30 = -5*d for i. -1 Solve 4*n = -7047*s + 7042*s + 6, -n + 2 = s for n. 4 Solve j = 5*v + 12, -30*v + 334*j = 333*j + 87 for v. -3 Solve 0 = -3*a - 2*q - 2, -938*a + 936*a + 15 = -q for a. 4 Solve 4*f = 4*s + 12, 122*f = 125*f + s + 3 for f. 0 Solve w + 4*d + 22 + 21 = -14, 0 = -3*d - 39 for w. -5 Solve -3*d - 5*a = -9, -32*d + 35*d - 9 = 9*a for d. 3 Solve 2*m + 5*r + 9 = 19, 0 = 5*r - 10 for m. 0 Solve -3*n = k - 4926 + 4927, 2*n - 3*k + 30 = 0 for n. -3 Solve -2*c + 16 = 4*f, -6*c - 27*f = -24*f - 30 for c. 4 Solve k + 9 = 22*c - 21*c, 3*c = 5*k + 43 for c. 1 Solve -63*s - 40 = 2*b - 58*s, -2*b - 20*s = 160 for b. 0 Solve t - 64 = 11*k, 3*t - 32 = 709*k - 708*k for k. -5 Solve v + 4 = -71*i + 76*i - 14, -4*i + 5*v = -27 for i. 3 Solve -4*w - w + 20 + 5 = -3*f, 3*w = 6 for f. -5 Solve -47*g + 0*j + 138 = 4*j, -6*g + 4*j - 36 = -2*g for g. 2 Solve -5*l - 4*x + 4 = -0 - 21, l - 5 = x for l. 5 Solve -3*f + 7*f = 2*x - 14, 3*x = -5*f - 45 for x. -5 Solve 0 = 5*b - 5*u, 2*b - 94 = -u - 97 for b. -1 Solve r - 3 = -1385*o + 1384*o, 0 = 2*o + 6 for r. 6 Solve -5*m + 50 = 5*u, 294*m - 5*u = 295*m + 6 for m. 14 Solve 29 = a + 5*x, 5*a + 4*x + 563 = 645 for a. 14 Solve 0 = 6167*w - 6171*w - 5*h - 7, -2*w - 4*h = 8 for w. 2 Solve -d = f - 13, -2*d + 6695 = -2*f + 6713 for f. 11 Solve 2*p + 4 = -2*h, 5*p + 22*h - 27*h - 20 = 0 for p. 1 Solve 0 = 4*s - f + 14, 47*s - f + 6 = 102*s - 57*s for s. -4 Solve 9*a - 3*k - 47 = 4*a, 2*a + 2*k - 6 = 0 for a. 7 Solve -o - 2*o - 5*t = -6, 13*o - 11*t - 26 = -13*t for o. 2 Solve 4*h + 5*p = -25, 195*h = 197*h - 8*p + 2 for h. -5 Solve 2*x + 16 = 2*n, -4*n = 5*x - 0*x + 4 for x. -4 Solve -3*c - 15 = 0, -1600*h - 2*c - 5 = -1598*h - c for h. 0 Solve -125 = -34*l - 3*w - 3, 0 = 2*l + w + 6 for l. 5 Solve -2961*y + 24 = 2*o - 2966*y, -4*y - 18 = -2*o for o. -3 Solve -2910*v - 28 = -2907*v + 5*f, 4*f - 37 = 3*v for v. -11 Solve -6 = h - n, -38 = 53*h - 52*h - 9*n for h. -2 Solve 5*v + 26 = -4*b, -39*v - 10 = b - 36*v for b. -4 Solve -4*g - 37 = 5*y, -355*g + 6*y + 55 = -360*g - 2*y for g. -3 Solve v = -32*h + 30*h - 16, -2*h - 28 = -5*v for v. 2 Solve -2*k = -3*h + 7, 253*k - 5*h + 3 = 254*k for k. -2 Solve -n = b - 19, -61 = -4*n + 18*b - 17*b for n. 16 Solve 5*n - 63*a + 19 = -61*a, -4*a + 5 = n for n. -3 Solve -5*j + 15 = 5*m, 0*m = -3*m for j. 3 Solve 2*j = 3*c + 22, 475*j = 2*c + 480*j + 21 for c. -8 Solve -147*j + 141*j + 48 = -3*b, -3*b = 3*j - 15 for b. -2 Solve 5344*l - 5341*l + 5*o - 55 = 0, 4*l = 2*o - 22 for l. 0 Solve 387*y + 60 = 382*y + 8*d, -24 = 2*y - 5*d for y. -12 Solve 0 = -b + m + 10, 3*b + 101*m - 30 = 98*m for b. 10 Solve 5*a = 2*r - 3, 4*a - 79*r = -83*r - 8 for a. -1 Solve -g + t - 19 = 0, 7928*g - 45 = 7923*g - 5*t for g. -5 Solve 0 = -4*x + 28, 12607*i - 12603*i - 2*x = -6 for i. 2 Solve -48163 = f - 48162, -2*f = 3*j - 4 for j. 2 Solve 45*g - l = 40*g - 0*l, 2*g - l = -7*l + l for g. 0 Solve -k + 3*d = -31, -4*d - 113 + 85 = -4*k for k. -5 Solve -p = -9*m + 35, -p - 14*m = -16*m + 14 for p. -8 Solve 5*c - 32*h = -29*h + 10, 4*h + 65 = 17*c for c. 5 Solve 0 = -x + 5*c, -4*c = -x - 6*c for x. 0 Solve 0 = 2*s + 2*v - 18, 746*v = 5*s + 749*v - 37 for s. 5 Solve o = c, 0 = o + 6*c + 36 - 8 for o. -4 Solve 48 = -2*k + 2*d, -175*k + 5*d = -178*k - 32 for k. -19 Solve -4*r = -3*n + 48, -93*r + 95*r = 5*n - 38 for n. 4 Solve -1254*b = -1254*b + 5*d + 5, 5*b - 20 = 5*d for b. 3 Solve 329*i - 332*i = -5*b - 46, -34 = -i + 4*b for i. 2 Solve -3*y + 1 = -n, 2*n = -4*y + 447 - 439 for y. 1 Solve -11*h - 39 = -4*k + 16, 3*h = -4*k - 15 for h. -5 Solve 4*l = 4*k - 28, 5*k + 12233*l = 12236*l + 33 for k. 6 Solve -a + 3*p = 4, 7714*a - 7711*a + 4*p = 27 for a. 5 Solve -2*p = 2*m - 12 + 24, -m - 4*p + 6 = 0 for m. -10 Solve -f + 5*g + 10 = 0, f - 20 = 3*g - 12 for f. 5 Solve -2*i + 15*v - 12 = 18*v - 8*v, -3*i = 3*v + 39 for i. -11 Solve -2*k = -4*k + 3*t + 33, -17*t = k + 150 for k. 3 Solve 0 = -4*z - 3*r + 26, 12 = 2*z + 108*r - 107*r for z. 5 Solve 3*t + 9 = -2*k, -54*k = -58*k + 3*t - 9 for k. -3 Solve -4*r - 4 = 4*b, 2*b - 3*r - 181 = -188 for b. -2 Solve -5*d + 6 = 206*v - 204*v, -3*d = -4*v + 12 for d. 0 Solve 5*u = -4*w - 9, -1064*u + w = -1063*u + 9 for u. -5 Solve -3*r = 4*m + 6 + 33, 4*r - 5*m = 10 for r. -5 Solve -4*p + 3*f - 3 = 0, 2578*p - 2575*p = f + 4 for p. 3 Solve -2*q - 3 = -f, -204*f = -199*f + 15 for q. -3 Solve -1636*a + 4*d = -1639*a - 43, 5*a - 3*d + 4 = 0 for a. -5 Solve 2*t = -a + 20, -69*t = -70*t - 7*a + 36 for t. 8 Solve -3*z + 5*u + 23 = 0, 17 = 2585*z - 2584*z - 4*u for z. 1 Solve -r = 3*f - 25, 5*f = 1117*r - 1112*r - 25 for f. 5 Solve 15 = -3*k - 26*p + 23*p, -4*k - 3*p = 18 for k. -3 Solve -5*i + 45 = -5*q, -5*i + 18 + 9 = -3*q for i. 0 Solve 4*a - 30*j + 28 = -26*j, 0 = -5*a - 2*j - 14 for a. -4 Solve x = n - 13, 0 = x - 4*n - 18 + 82 for x. 4 Solve -2*y + 9 = 3*a, -2*a = 24 - 26 for y. 3 Solve -2*b - 4*y + 0 = -26, 3*y = -4*b + 32 for b. 5 Solve 30 - 25 = v + w, 0 = 3*v + w - 11 for v. 3 Solve -5*c - 2*s + 65 = 0, 49*s = -3*c + 42*s + 68 for c. 11 Solve 0 = -5*y - b + 11, 3*y - 27040*b - 21 = -27037*b for y. 3 Solve 4*w - 24 = 0, -29*r + 31*r - 6*w = -28 for r. 4 Solve 2*r - l - 343 = -348, -18 = 3*r - 5*l for r. -1 Solve -2*z + 2*t = 12, -8*z + 105*t = 121*t for z. -4 Solve 0 = -3*n + p + 10, 0 = -71*n + 69*n + 3*p - 5 for n. 5 Solve -4*l + 8 = -3*z, 181 = -4*z - 3*l + 212 for z. 4 Solve 5*n + 250*m - 246*m + 50 = 0, -4*n + 3*m - 40 = 0 for n. -10 Solve 5*n + 184 - 137 = -2*l, 3*n + 13 = -5*l for l. 4 Solve 41*q + 2*l = 46*q - 13, 0 = -5*q + l + 14 for q. 3 Solve -3*y + 5*b = -20, -5*y - 16 = 43*b - 39*b for y. 0 Solve -27*n + 23*n = -2*d, -5*n = -2*d - 1 for n. 1 Solve 0 = -21*y - 5*n + 251, 5*n + 27 = 4*y + 3 for y. 11 Solve 2*q + 6128*z = 6127*z + 9
{ "pile_set_name": "DM Mathematics" }
the units digit of s? 8 Let o = 247 - 140. What is the hundreds digit of o? 1 Suppose -m - 560 = -5*q - 6*m, -4*q = -4*m - 472. What is the units digit of q? 5 Suppose 7*g = 4*g + s + 14, -2*g + 3*s = -14. Let t(j) = j - 2. What is the units digit of t(g)? 2 Suppose -6 - 394 = -4*z. What is the tens digit of z? 0 Let t be 2 - (-4)/(-1 - 1). Suppose t*n + 4 = 2*n. What is the units digit of n? 2 Let v be (-16)/6 - 6/(-9). Let x be (v - -1)/(2/(-8)). Suppose 0 = 2*r - x. What is the units digit of r? 2 Let z(p) = p + 1. Let n be z(1). Let q(i) = i + 3*i**2 + n - 5 + 2*i. What is the tens digit of q(-3)? 1 Suppose -201 = -3*q - 3*g, 8 + 12 = 4*g. What is the tens digit of q? 6 Suppose 2*c = -2*c + 152. What is the units digit of c? 8 Let r(n) = -2*n - 12. Let g(s) = -3*s - 12. Let u(t) = 3*g(t) - 4*r(t). Let m be u(6). Let l(h) = -h**2 + 7*h + 4. What is the tens digit of l(m)? 1 Suppose 4*m - m - 9 = 0. Suppose 0 = -c - 2*f + 23, -c - 4*f + 72 = m*c. Suppose 5*x - 2 = c. What is the units digit of x? 3 Let i be 1/(2 + 1)*9. Let v(t) be the second derivative of t**3/6 + t**2/2 - 4*t. What is the units digit of v(i)? 4 Let h(k) = -k**2 - k. Let y be h(-2). What is the units digit of y - -2 - (-9)/1? 9 Let l(v) = -5*v + 2. Let a(i) = -11*i + 5. Let t(k) = -k**2 - 2*k + 3. Let n be t(2). Let r(w) = n*l(w) + 2*a(w). What is the units digit of r(3)? 9 Suppose 30 = 6*w - 138. What is the units digit of w? 8 Suppose 4*c - 51 = 293. Suppose -c = -5*h - 6. What is the units digit of h? 6 Let o be 208/3 + (-4)/(-6). Let w be ((-2)/4)/((-7)/o). Suppose w*k = 3*k + 4. What is the units digit of k? 2 Suppose 3 = -2*p + 5*p. What is the units digit of (6/10)/(p/10)? 6 What is the tens digit of 2 + 1023/21 - (-6)/21? 5 Let p(j) = 4*j**2 - 5*j + 2. What is the units digit of p(3)? 3 Let u(y) = -y + 4. Let j be u(4). Suppose j = h + 12 + 2. What is the units digit of (-10)/h - 2/(-7)? 1 Let d be (-5)/((-15)/(-12)) + 1. Let m = d + 5. What is the units digit of m? 2 Suppose 3*a + 5*u - 107 = 0, 3*a = 3*u + u + 125. What is the units digit of a? 9 Suppose 0 = -4*j - 4*y + 28, 3*y = -2*j + 3*j - 27. Let r = 8 + j. What is the tens digit of r? 2 Let l = 1 + -2. What is the units digit of 5 + -4 - (-9 - l)? 9 Let f(x) = x**3 - x**2 - x + 36. Let z be f(0). Suppose 2*d = 5*d - z. What is the tens digit of d? 1 Let v(d) = 2*d**2 + 5*d + 3. What is the units digit of v(-3)? 6 Suppose -z - c + 5 = c, -4*c = -4. Suppose z = -w + 5. What is the units digit of w? 2 Suppose 3*h - 8*h + 10 = 0. Suppose -h*b + 1 = 7. Let x(i) = i**2 + 3. What is the tens digit of x(b)? 1 Suppose 8*v - 3*v = 1130. What is the hundreds digit of v? 2 Let f = 7 - 10. What is the units digit of (f - -1) + 7/1? 5 Let m be (-2)/8 - 190/8. What is the tens digit of 2/(-8) + (-318)/m? 1 What is the tens digit of (-60)/50*260/(-6)? 5 Let i(s) = s**2 - 9*s + 3. Let v be i(9). Suppose 3*o + v = 4*o - 3*t, 3*o + 3*t = -3. Suppose o*u = -5*u + 15. What is the units digit of u? 3 Let c be 21/5 + (-4)/20. What is the tens digit of ((-2)/c)/((-3)/60)? 1 Suppose 4*i = 2*u - 110, -4*u + 2*u + 29 = -i. What is the units digit of (-72)/i*3/2? 4 Suppose -4 = 4*n, -n - 72 = 5*b + n. Suppose -s + 10 = -3*s. Let k = s - b. What is the units digit of k? 9 Let w = 11 - -6. What is the units digit of w? 7 Let m(r) = -r**2 + r + 52. What is the units digit of m(0)? 2 Let z = 23 + -7. Suppose 4*j - 4 - z = 0. What is the units digit of j? 5 Let x = -6 + 22. What is the units digit of x? 6 Suppose -2*i + 3*i = 3*j + 42, 2*i - 77 = -j. What is the units digit of i? 9 Let f(z) = -3*z**3 - 3*z**2 + 2*z - 1. Let l be f(2). Let o = -15 - l. What is the tens digit of o? 1 Let t = -3 - -2. Let b be (t/3)/(4/24). Let k = b - -5. What is the units digit of k? 3 Let p = 5 + -4. Let z be ((-2)/5)/(p/(-60)). Suppose 0 = -3*t + t + z. What is the tens digit of t? 1 Let v = 0 - -13. Let p = 0 + v. What is the tens digit of p? 1 Let k(c) = 69*c**3 + 2*c**2 - 2. What is the units digit of k(1)? 9 Let f be 43/(-4) - (-1)/(-4). Let w = 19 + f. What is the units digit of w? 8 Suppose 0 = -3*j + 148 - 19. What is the units digit of j? 3 Let g be -2 - ((2 - 0) + -2). Let k be g/(-3)*27/6. What is the units digit of -1 + 3 - k/3? 1 Suppose -28 = -2*b + 6. What is the tens digit of b? 1 Suppose 2*d = 6*d. Let a(r) be the third derivative of r**6/120 + r**5/60 + 2*r**3 + r**2. What is the units digit of a(d)? 2 Let h = 177 - 115. Suppose -h = -5*j + 2*b + 3, -2*b = 5*j - 65. What is the tens digit of j? 1 Let t(p) = 4*p**2 + 14*p + 7. What is the units digit of t(-4)? 5 Suppose 0 = -3*b + 7*b - 2*m - 124, -2*b + 54 = -5*m. Suppose y = -y + b. What is the units digit of y? 6 Let d(n) = -2*n - 3*n + 2 - 7*n + n. What is the tens digit of d(-2)? 2 What is the units digit of (-72)/3*(-3)/9? 8 What is the units digit of (-63)/12*(-8)/3? 4 Suppose -6*f + 962 = -328. What is the hundreds digit of f? 2 Let i be ((-6)/(-4))/(3/(-8)). Let u = i - -6. Suppose -u*o + 27 = -3. What is the tens digit of o? 1 Let o be (-82)/(-8) - (-2)/(-8). Let w be (10/(-4))/((-1)/(-2)). Let g = w + o. What is the units digit of g? 5 Let p(v) = v - 7. Let f be p(7). Suppose -6*k - 3*s = -k - 19, k + 4*s - 14 = f. What is the units digit of k? 2 Suppose 2*l + 37 - 4 = 3*y, 3*l + 57 = -3*y. Let d = -1 - l. Suppose 12 = 2*n + h, 2*h - h = -3*n + d. What is the units digit of n? 5 Let q(h) = h**3 - 12*h**2 + 9*h - 3. Let i be q(11). Let m = -4 - i. What is the units digit of m? 1 Let k = 113 + -74. What is the tens digit of k? 3 Suppose -2*q + 0*q = 2, 5*q + 21 = -2*n. Let j = -7 - n. What is the tens digit of (1 - j) + (1 - -18)? 1 Let t = 27 + -19. What is the units digit of t? 8 Suppose -8*n + 20 = -3*n, -4*t - 3*n + 28 = 0. What is the units digit of (t - 2) + (-104)/(-4)? 8 Suppose 3*w + 281 = 2*d + 3*d, 4*w = 5*d - 283. What is the tens digit of d? 5 Let s be 4/(-8) - (-11)/2. Suppose s*l + 2*h = 7, -12 = 4*h - h. What is the units digit of l? 3 Suppose -3*r - 936 = -3*b, 3*b + r = 8*b - 1552. What is the tens digit of b? 1 Let r(c) = 3*c**2 - 2*c - 12. Let v(p) = p**2 + 14*p + 18. Let z be v(-13). What is the tens digit of r(z)? 5 Suppose 5*h + 3*n = 48, 0*n = -5*h + 2*n + 43. Let s = h - -6. What is the tens digit of s? 1 Let q = 63 + 91. What is the hundreds digit of q? 1 Suppose -2*l = -p - 4 - 1, -10 = 3*p - 5*l. Let r(u) = u**2 + 18*u + 4. Let z be r(-18). Suppose q - p = -m - 3*q, -50 = -z*m - q. What is the tens digit of m? 1 Let g = 3 + 17. Let y = 5 - 2. Suppose f - y*f + g = 0. What is the units digit of f? 0 Let c(w) be the first derivative of w**3 + 3*w**2/2 - w + 3. What is the units digit of c(-3)? 7 Suppose -5*x + x + 3*z + 256 = 0, 2*x - 128 = 2*z. Suppose 7*q - 3*q = x. What is the units digit of q? 6 Suppose 0*h + h - 4 = 0. Suppose 0 = h*p + p - 10. What is the units digit of p? 2 Let s(p) = p + 18. Let j(z) = -z**3 - 5*z**2 - 3*z - 4. Let b = -2 + -2. Let r be j(b). What is the units digit of s(r)? 0 Let u(m) = -39*m + 1. Let w(l) = l + 7. Let i be w(-8). Let s be u(i). Suppose s = 4*h + h. What is the units digit of h? 8 Let u = 10 + -20. Let t = 7 - u. What is the tens digit of t? 1 Let x = 52 + -29. Suppose -4 = k - x. Suppose 5 = 3*j - k. What is the units digit of j? 8 Suppose 128 = 4*b + 2*p, -2*b + p = -0*b - 72. What is the units digit of b? 4 Let w(q) = -q**3 + 10*q**2 - 10*q + 12. Let x be w(9). Suppose x*a - 1 - 5 = 0. What is the units digit of a? 2 Let j(c) be the third derivative of -c**5/60 - 11*c**4/24 + c**3 + 3*c**2. What is the tens digit of j(-10)? 1 Let m = 64 - 21. What is the units digit of m? 3 Suppose 5*g - 632 = t, -2*t = -0*g - 2*g + 248. What is the tens digit of g? 2 Suppose 0 = k + 2*z - 51, 0*z = -3*k - z + 143. What is the units digit of k? 7 Let g(l) be the first derivative of 3/4*l**4 + 1 + 0*l + 0*l**3 - 1/2*l**2. What is the units digit of g(1)? 2 Suppose 45 = 2*i - 131. What is the tens digit of i? 8 Suppose 2*c + 10 = 4*c. Suppose -4*l + 21 = 2*w - c*l, 4*w + l = 39. What is the units digit of w? 0 Suppose 4*s - 14 = v, -5*s + 5*v + 12 + 13 = 0. Let k = s + -2. Let d = k - -1. What is the units digit of d? 2 Let a = 22 + -20. Let p be (3/(-4))/((-1)/4). What is the units digit of -2*a*(-6)/p? 8 Suppose -546 - 30
{ "pile_set_name": "DM Mathematics" }
ssuming d is positive. d**(252/17) Simplify ((s*(s**(-8)*s*s)/s*s)/(s*s*s**(1/5)*s))**(17/5) assuming s is positive. s**(-697/25) Simplify ((q/q**(-1))**(-22)*(q*q/(q/(q/(q*q/(q*q**1/q)*q)*q)))/q**(-3))**(-44) assuming q is positive. q**1760 Simplify ((k**14/k*k)/k*k**(-4/9))/(k**(-4)*k)**(-2/23) assuming k is positive. k**(2545/207) Simplify ((v/(v/(v/(v**(1/2)/v*v)))*v*v)/v)/(((v*((v**(2/7)/v)/v*v)/v)/v)/v)*(v*v/(v/(v/(v*(v*v/v**(2/25))/v)*v)))**(-33) assuming v is positive. v**(-10999/350) Simplify b**15*b*b**(-1/2)*b*(b**(-3/7))**21 assuming b is positive. b**(15/2) Simplify (g**(6/7)*g)/g**(2/73)*g**(-2/13)/((((g*g**7)/g)/g)/g) assuming g is positive. g**(-22082/6643) Simplify ((x**22)**(-47))**36 assuming x is positive. x**(-37224) Simplify ((r*r/(r**21/r))/(r**(-33)/r*r))/(r**0)**(1/8) assuming r is positive. r**15 Simplify ((h**(-1/9)/h**(2/13))/((h/h**(-5/3)*h)/((h/(h*h/h**(1/8)))/h)))**(4/33) assuming h is positive. h**(-5435/7722) Simplify (c/(c**(-19)*c)*c/(c/(c/(c/((c**(-6/23)*c)/c)))))**40 assuming c is positive. c**(17240/23) Simplify (a**(-8)/(a**(1/40)/a))/(a**0/a*a/(a/(a*a*a**(-1/2)))) assuming a is positive. a**(-301/40) Simplify (((v**(-1/5))**(-25/3))**(-14/9))**(2/89) assuming v is positive. v**(-140/2403) Simplify ((t*t*t*t**(-3/7)*t)/t**(-1))/(t**(9/2)/(t/t**(2/39))) assuming t is positive. t**(557/546) Simplify (b*b**3)**5/((b**(-3/10)*b*b)/b*(b**(-4)/b*b)/b) assuming b is positive. b**(243/10) Simplify (u**(-5)*u**(-15))/(u/u**10*(u*u*u*u/u**(-1/4))/u) assuming u is positive. u**(-57/4) Simplify (q**0)**(-23)/(q/(q/q**(-2/3)*q)*q*q)**(1/63) assuming q is positive. q**(-1/189) Simplify ((c/c**(-1/3))/c)**(-6)*(c**(-6))**(-30) assuming c is positive. c**178 Simplify (w**(-3)/(w*w**8))/(w*w**(-3/17)*(w/w**(-19))/w) assuming w is positive. w**(-541/17) Simplify v**(-4/9)*v*v**11*(v/(v/(v*v/(v*v**1))))**(-5/2) assuming v is positive. v**(104/9) Simplify (((w*w**(-21)*w*w)/w)/(w*w/((w/((w*w**(-2/23))/w))/w)))**47 assuming w is positive. w**(-22607/23) Simplify (t**(-1/4)*((t**(-3/8)/t)/t)/t)/(t**(2/7)*t**(-9/4)) assuming t is positive. t**(-93/56) Simplify (s**(9/5)*s**(2/7))/(s/s**(-4))**(-8) assuming s is positive. s**(1473/35) Simplify (((g*g*g/(g*g**(-5)*g))**(-45))**9)**(1/53) assuming g is positive. g**(-2430/53) Simplify (x/(x/(x**(1/7)/x))*x**(-1/16))/(x**(-19)/(x*x**(-2/7)/x*x)) assuming x is positive. x**(2105/112) Simplify (i/i**(-21)*i*i*(i*i**(-14)*i)/i*i)/((i/((i*i**17)/i))/i**30) assuming i is positive. i**58 Simplify n**(-15)*n*n/(n/(n/(n*n/(n/n**(2/3)*n)*n*n)))*n*(n*n**(-1/9))/(n*n*n**(12/5)) assuming n is positive. n**(-818/45) Simplify ((y**(-3)*y)/y**5*y**(-7)/(y**(1/4)*y))**(-2/103) assuming y is positive. y**(61/206) Simplify (c/(c/((c**2*c)/c*c)))**13*c*c**(2/9)*c*c**(-12) assuming c is positive. c**(263/9) Simplify ((n/(((n*n**(7/4)*n)/n*n)/n))/n**(-2/33))/(n**(-17/4))**(19/6) assuming n is positive. n**(3107/264) Simplify ((c/((c/(c*c**(-5/6)*c))/c)*c)/c*c*c)**(-10/13)/(c**(-1)/c)**(-43) assuming c is positive. c**(-3479/39) Simplify ((t/(t*t**(-1/5)))**(-8))**(-44) assuming t is positive. t**(352/5) Simplify g**(-2/9)*g/((g*g**31)/g)*(g**(3/7)*g)**(-36) assuming g is positive. g**(-5144/63) Simplify i**(-7)/(i*i**(-4/7))*(i/i**(12/7))/i*i**21 assuming i is positive. i**(83/7) Simplify (b*(b/(b**10/b))/b)/b*b**10*(b**(3/2)/b)**(-13) assuming b is positive. b**(-11/2) Simplify ((q**(-22))**(-1/2))**(-2/39) assuming q is positive. q**(-22/39) Simplify (z**3)**(-8/7)/(((((z*z/(z*z**(3/8)))/z*z)/z)/z)/(z/(z*z/(z*z**(-5))*z))) assuming z is positive. z**(-451/56) Simplify (((f/(f**(-1/7)*f))/(f*f**6*f))/(((f**(3/7)/f)/f)/(f*f**(-1/6))))**(-33) assuming f is positive. f**(2519/14) Simplify (c**(-3/4))**48*((c**(-1/4)/c)/c*c)**(-24) assuming c is positive. c**(-6) Simplify (c**23*c*c/c**(-4/11))/(c**(-7/3)/c**(-23)) assuming c is positive. c**(155/33) Simplify ((t**32)**35)**50 assuming t is positive. t**56000 Simplify (p*p**(-7))/(p/p**(-1/7))*((p*p/(((((p**(2/45)/p)/p)/p)/p)/p))/p)/(p**(-5/7)*p*p*p) assuming p is positive. p**(-1094/315) Simplify ((d*d*d**(-23))/(d/d**(-22)))/((d**13/d)/d**15) assuming d is positive. d**(-41) Simplify (i**(-2/15)/(i/i**(-5)))/(i**13/(i*i**(1/6)/i)) assuming i is positive. i**(-569/30) Simplify (k**(1/3)*k*k*k*k/(k*k**37)*k)/((k*k**33)/(k/((k/(k**(1/20)*k))/k))) assuming k is positive. k**(-3877/60) Simplify (o/(o**(-1/2)*o))/(o*(o/((o*(o/(o/(o**(1/8)/o)*o))/o*o*o)/o*o)*o)/o)*o**(-1/7)/o**(-1) assuming o is positive. o**(-29/56) Simplify (t/(t**(-2)/t))**(-4/17)*(t**(-5)*t)**(1/2) assuming t is positive. t**(-50/17) Simplify (((g/(g*g**(2/9)*g))/(g/((g/(g*g**(1/3)))/g)))**28)**(2/7) assuming g is positive. g**(-256/9) Simplify (i**(-1))**(-2/127)*i**1*i**(-12) assuming i is positive. i**(-1395/127) Simplify (q**10*q/(q**(-1/6)*q*q))/(q/(q**(-3/4)*q))**(1/17) assuming q is positive. q**(1861/204) Simplify y/y**34*y*y*y**(2/125)*y**(-2/87)*y**(-12)*y*y assuming y is positive. y**(-445951/10875) Simplify (v**(1/3))**(1/7)/(v*v**6*v*v**6/v) assuming v is positive. v**(-272/21) Simplify ((w/(w**0*w))**(3/17)*(w*w*w**0)/(w/(w/(w/(w**5/w)))*w*w))**34 assuming w is positive. w**102 Simplify ((f*f**(-3/2)*f*f*f/(f/f**(-1/2))*f)**(-2/85))**(-6/13) assuming f is positive. f**(24/1105) Simplify (t*t/((t**(-3/10)/t)/t)*t)**(5/13)*(t**(-16)/t)/(t/(t*t/(t/t**14*t*t*t))*t) assuming t is positive. t**(-129/26) Simplify v/((v**20*v)/v)*v*v/(v/((((v/(v*v**(-12)))/v)/v)/v))*v*v*v**(-1/5)/v**(-5) assuming v is positive. v**(-11/5) Simplify k*k**9*k**(-4/13)*k*k**(-1/15)/((((k*k/(k*k*k/(k**4/k)*k*k)*k)/k)/k)/k) assuming k is positive. k**(2462/195) Simplify q**(-8/7)/q*q*q/(((q**(-3/5)/q)/q)/q)*q*q*q*q**(-1/31)*q**(-5/7) assuming q is positive. q**(6196/1085) Simplify (j**(-4)*j**0*(j**(2/25)/j)/((j*j**(2/3))/j))**(-41) assuming j is positive. j**(17179/75) Simplify t**(-3/8)*t/(t*(t/t**(-7/2))/t)*(t*t/t**2*t)**(2/5) assuming t is positive. t**(-139/40) Simplify ((w**(4/5)/w)/w)**(2/33)/((w**20*w)/(w*w**(-3/10))) assuming w is positive. w**(-2241/110) Simplify (((o/(o/(o/(o*o**7/o*o))))/o)/o**(-18))**(-8/9) assuming o is positive. o**(-80/9) Simplify w*w**(-23)*w/w**2*w**(-2/29)/((w*w*w/(w*(w*w**(-1/6)*w)/w)*w)/w) assuming w is positive. w**(-4217/174) Simplify ((j/(j**(-2/9)*j))/j)**47*(j*j/(j/j**4*j)*j)/(j*(j*((j**(-11)*j)/j*j)/j)/j) assuming j is positive. j**(-194/9) Simplify p**(-1/5)/((p*p**(5/2)/p)/p)*p**(1/5)*p**(-3)*p assuming p is positive. p**(-7/2) Simplify (m*m**(-6))**(2/33)/(m**15/((m/m**(1/5))/m)) assuming m is positive. m**(-2558/165) Simplify j**(-6/11)/((j**(-21)/j)/j)*j**(11/5)*j**(10/3) assuming j is positive. j**(4618/165) Simplify (b**(-1/17)/(b*b**1*b*b))/(b/(b/(b/(b**(-34)*b)))*b*b*b/((b**4/b*b)/b)*b*b) assuming b is positive. b**(-681/17) Simplify (k**(-1/5)*k/k**(-5))/((k/(k/(k/k**(-14))*k*k))/k**(-14)) assuming k is positive. k**(-106/5) Simplify (p**(-11)/p)**(1/70)*(p**(-1/6)*p)/p*p**18*p assuming p is positive. p**(3919/210) Simplify ((n/(n*n**8))/n**(2/3)*(n/(n**0*n))**(1/24))**33 assuming n is positive. n**(-286) Simplify (g**(-2)/(((g**(-2/7)/g*g)/g)/g*g))**(-31) assuming g is positive. g**(155/7) Simplify ((b/b**(-14)*b)/b**(-26))/(b/b**10)**1 assuming b is positive. b**51 Simplify s/(s**(-11)*s*s)*s**(-8)*(s**5)**(-1/33) assuming s is positive. s**(61/33) Simplify k*k**(-4/11)*k**(5/3)*(k*k*k**(2/5)*k)**(-44) assuming k is positive. k**(-24304/165) Simplify ((c*(c*c/c**(1/5))/c)/c)/c**19*c**(-2)/(c/c**(-2/37)) assuming c is positive. c**(-3932/185) Simplify (h**28/(h/((h**7/h)/h)))/(h/((h/h**15)/h)*h)**(-44) assuming h is positive. h**780 Simplify (t**(1/15)*t**(-17))/(t**(-6/5)*t/(t/(t*t**(-1/3)*t*t))) assuming t is positive. t**(-92/5) Simplify (s/(s*s/(((s**11*s)/s)/s)*s*s)*s**11)/(s/(s/(s**14*s))*s**(-12)) assuming s is positive. s**15 Simplify (z**(-13/2)/(z/(z*z**(2/5)*z)))/(z**(-2/47)/(z/(z/(z*z**(2/21))*z))) assuming z is positive. z**(-48977/9870) Simplify (m*m*m**(-2/3)*m**(1/6))/((((m*m**(8/3))/m)/m)/m**(-2/11)) assuming m is positive. m**(-23/66) Simplify (o*o**(3/7)/o*o*o)**48*o/o**(-8)*(o/(o/o**16))/o assuming o is positive. o**(984/7) Simplify (((l**(-3/14))**27)**(1/25))**20 assuming l is positive. l**(-162/35) Simplify k**18*k*k*k**(1/5
{ "pile_set_name": "DM Mathematics" }
). 6592*o**2 - 3 Suppose 2*z - 6 + 2 = 0. Let c(s) = z*s + 5*s - 13*s + 5*s. Let n(k) be the third derivative of -k**5/3 - 3*k**2. Give c(n(f)). 20*f**2 Let p(k) = 2*k**2. Let u(n) = 14979665*n**2. Calculate p(u(v)). 448780727024450*v**4 Let i(b) = 25380*b**2 + 5922*b + 658. Let f(t) = -193*t**2 - 45*t - 5. Let x(p) = -658*f(p) - 5*i(p). Let o(j) = 3*j**2. Calculate x(o(s)). 846*s**4 Let z(k) = k**2 - 412187*k. Let v(x) = 2*x. Calculate v(z(d)). 2*d**2 - 824374*d Let c(k) be the second derivative of 0*k**3 + 0*k**2 + 23 + 1/12*k**4 - 3*k. Let p(u) = 209*u**2 + 2*u. What is c(p(x))? 43681*x**4 + 836*x**3 + 4*x**2 Let r(s) be the third derivative of s**5/60 - s**4/24 - 617*s**3/2 + 17*s**2 + 3*s. Let d(h) = -2*h. Calculate r(d(j)). 4*j**2 + 2*j - 1851 Let a(p) = -97141*p. Let m(y) = 115*y + 2. What is m(a(v))? -11171215*v + 2 Let i(c) = 2. Let f(s) = 16 - 19 - 7 - 2*s + 0*s. Suppose -8 = 4*r + 12. Let d(l) = r*i(l) - f(l). Let h(o) = -o. What is d(h(x))? -2*x Let x(a) = 14509*a. Let b(r) = -1071*r**2 - 1. Determine x(b(h)). -15539139*h**2 - 14509 Suppose w + 5*i = -1, -i = -3*w + 6 + 7. Suppose -8*h + 15852 = w*h. Let v(r) = h - r**2 - 1321. Let u(c) = -13*c**2 + 3*c. What is v(u(x))? -169*x**4 + 78*x**3 - 9*x**2 Let z(u) be the first derivative of 3*u**2/2 + 2. Let l(c) = -545*c**2 - 155. Let o(q) = 21*q**2 + 6. Let w(s) = 6*l(s) + 155*o(s). Calculate z(w(a)). -45*a**2 Let i(d) = -2*d**2. Suppose -6*c - 2*b = -3*c - 69, -b = -3*c + 60. Let n(r) = r - 21 - 18 + 97 - c - 21. Determine i(n(l)). -2*l**2 - 64*l - 512 Let y(p) be the third derivative of -p**4/12 + 9*p**3 + 4*p**2 + 87. Let z(k) = 63*k. Give y(z(g)). -126*g + 54 Let r(y) = -88*y**2. Let k(t) = -4310*t**2. What is r(k(z))? -1634696800*z**4 Let l(z) = -41*z + 49*z - 9*z. Let m(a) = 195*a**2. What is m(l(q))? 195*q**2 Let x(a) = -87934634*a. Let h(p) = p**2. What is h(x(o))? 7732499856713956*o**2 Let z(u) = 124*u**2 + 134*u - 10. Let q(d) = 42*d**2 + 40*d - 3. Let f(c) = 10*q(c) - 3*z(c). Let r(a) = -21*a. Determine f(r(p)). 21168*p**2 + 42*p Let w(t) = -24823*t - 25001*t - 24166*t + 75028*t. Let g(z) = 3*z. What is g(w(o))? 3114*o Let h(a) = a. Let t(p) = -74 + 10058*p + 35 + 39. What is t(h(r))? 10058*r Let r(b) be the first derivative of -4*b**3/3 - 4462. Let o(y) = -1831*y. Calculate o(r(k)). 7324*k**2 Let m(n) = 3436*n**2. Let v(b) = 7*b**2 - 18*b - 2. Let t(u) = 45*u**2 - 117*u - 13. Let q(c) = 6*t(c) - 39*v(c). Give m(q(l)). 30924*l**4 Let k(l) = 343*l**2 - 7371428 + 7371428. Let d(y) = 2*y. Determine d(k(f)). 686*f**2 Let i(o) = -157259*o**2. Let w(q) = 195*q. Determine i(w(a)). -5979773475*a**2 Let l(g) = 15*g. Let t(m) = -185*m**2 - 50823*m + 50823*m. Calculate t(l(i)). -41625*i**2 Let n(c) = -134 - 16 + 150 + 18*c. Let x(q) = -60*q**2. Calculate x(n(y)). -19440*y**2 Let g(q) = 4584689*q - 4584689*q - 3*q**2. Let v(r) = 2*r**2 + 147*r. What is v(g(d))? 18*d**4 - 441*d**2 Suppose 0 = 2*k + 76 - 86. Let r(i) = -8*i**2. Let j(o) = -18*o**2. Let u(l) = k*r(l) - 2*j(l). Let g(m) = -3*m**2. Determine u(g(y)). -36*y**4 Let v be 4/(-3)*(-8 - -7)*21. Let x(f) = 15*f - v*f + 9*f + 6*f. Let i(m) = 6*m - 9*m - 12*m. Determine x(i(r)). -30*r Let a(h) = -1158*h - 1. Let g(l) = -22*l**2 + l - 1. Let y(n) = -133*n**2 + 6*n - 6. Let r(d) = -6*g(d) + y(d). Calculate r(a(x)). -1340964*x**2 - 2316*x - 1 Let p(o) = 1458*o. Let r(s) = 2*s**2 - 46 + 46 + 58*s - 58*s. Calculate p(r(l)). 2916*l**2 Let z(w) = 4*w + 2*w - 6 + 6. Let l(p) = -18*p - 13*p + 31*p + 20*p**2. Calculate l(z(k)). 720*k**2 Let c(p) = 7*p**2 + 9*p. Let x(f) = 5*f**2 + 6*f. Let i(t) = 2*c(t) - 3*x(t). Let b(r) = 3*r + 4. What is b(i(h))? -3*h**2 + 4 Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1/30*n**k + 0*n**3 - 13*n**2 + 0*n + 0*n**4 + 0. Let z(d) = 2*d**2. Give u(z(b)). -8*b**4 Let x(b) be the first derivative of 358*b**3 + 1704. Let w(p) = p**2. Determine x(w(k)). 1074*k**4 Let m(f) = 3*f**2. Let k be ((-640)/240 + (2 - -1))*1. Let a(v) be the first derivative of 0*v**2 + k*v**3 + 0*v + 18. Calculate m(a(d)). 3*d**4 Let o(c) = 11*c. Let d be 63/(-14)*8/(-6). Let s(l) = -7*l**2 + 12*l**2 - d*l**2 - l**2. Determine o(s(k)). -22*k**2 Let n(s) be the first derivative of 2*s**3/3 + 11261. Let d(r) = 11*r - 4. Let g(t) = -45*t + 15. Let p(w) = -15*d(w) - 4*g(w). Determine n(p(c)). 450*c**2 Let b(u) = -13*u**2. Let p(o) = -1456*o + 7. Give p(b(z)). 18928*z**2 + 7 Let h(m) = -1658*m**2 + 3325*m**2 - 1666*m**2. Let b(d) = -d**2 + 75*d - 13. Calculate b(h(n)). -n**4 + 75*n**2 - 13 Let b(s) be the first derivative of 614*s**2 - 1653. Let q(h) = h. Give b(q(n)). 1228*n Let n(f) = 6*f**2 - 36*f + 2. Let u be n(6). Let x(s) = 3*s**u + 15 + 3*s**2 - 7*s**2 - 15. Let g(z) = -2*z + 36. Give x(g(j)). -4*j**2 + 144*j - 1296 Let z(g) = 13*g. Let c(h) = -107*h + 6. Let j(u) = -3115*u + 175. Let a(p) = -175*c(p) + 6*j(p). Give z(a(v)). 455*v Let w(u) = 76432*u + 3. Let a(s) = 12*s. Determine w(a(q)). 917184*q + 3 Let x(w) = -59*w**2 + 4*w + 4. Let y(a) = -44*a**2 + 3*a + 3. Let c(i) = -3*x(i) + 4*y(i). Let k(b) = -1096*b. What is c(k(m))? 1201216*m**2 Let c(v) = -2*v - 499. Let i(u) be the second derivative of -u**3/3 - 7683*u. Calculate c(i(g)). 4*g - 499 Let b(v) = -3*v. Let m = -1017 + 1011. Let d = 4 - 8. Let o(n) = -n**2 + 2*n. Let l(f) = -3*f. Let r(k) = d*l(k) + m*o(k). Give b(r(u)). -18*u**2 Let s(d) = -6*d**2. Let y(r) = -136*r - 6. Let z(j) = -131*j - 4. Let l(p) = 2*y(p) - 3*z(p). Give l(s(b)). -726*b**2 Let v(y) = -516 + 26*y + 516. Let o(m) = m + 2. Let x(k) = 1. Let c = 11 - 13. Let a(l) = c*x(l) + o(l). Determine v(a(w)). 26*w Let a(q) be the second derivative of q**4/12 + 534*q - 11. Let d(b) = 12*b**2 - 3*b + 0 + 0. Determine d(a(m)). 12*m**4 - 3*m**2 Let f(o) = 87*o - 72. Let m(u) = 26*u - 26. Let k(s) = 4*f(s) - 11*m(s). Let b(z) = 12*z. Give k(b(g)). 744*g - 2 Let h(d) = 10*d**2. Let q(r) = -7*r + 14095. What is q(h(c))? -70*c**2 + 14095 Suppose -35*n + 159*n - 481 - 15 = 0. Let a(f) be the third derivative of 0 - 1/8*f**n - 6*f**2 + 0*f**3 + 0*f. Let m(y) = 8*y**2. What is m(a(r))? 72*r**2 Let j(x) = 5*x. Let h(a) = 61*a - 4. Let b(o) = -258*o + 17. Let f(v) = -2*b(v) - 9*h(v). Calculate j(f(q)). -165*q + 10 Let i(n) = 4*n**2 - 2*n - 6. Let f(k) = k + 3. Let l(v) = 4*f(v) + 2*i(v). Let h(j) = 14*j**2 - 3*j. Determine h(l(o)). 896*o**4 - 24*o**2 Let c(m) = 3*m + 18847. Let x(f) = -5*f + 7. Calculate x(c(b)). -15*b - 94228 Let c(s) = -1406*s. Let l(u) = 1186*u**2. What is c(l(d))? -1667516*d**2 Let w(z) = -11*z**2 + 3*z - 5*z + 2*z. Let s(x) be the second derivative of -x**4/12 + 9*x - 1. Determine w(s(f)). -11*f**4 Let u(i) = i + 2. Let c(q) = -1. Let g(t) = -2*c(t) - u(t). Let n(a) = 193*a + 23. Let x(j) = 115*j + 13. Let v(o) = 3*n(o) - 5*x(o). Calculate v(g(d)). -4*d + 4 Let t(x) = -2820679*x. Let o(y) = 18*y**2. What is t(o(c))? -50772222*c**2 Let s be (78/(-52))/((-2)/44). Let i(a) = -2*a + 32 + 0*a + s - 65 + 8*a**2. Let d(t) = 3*t. Calculate i(d(r)). 72*r**2 - 6*r Let w(z) = 513351*z**2. Let n(x) = 4*x**2. Give w(n(q)). 8213616*q**4 Let t(d) = 36666*d - 1654*d**2 - 505*d**2 - 36666*d - 792*d**2. Let m(u) = 2*u. Calculate t(m(k)). -11804*k**2 Let b(h) = -6 + 5*h + 6. Let p(u) be the first derivative of 5*u**2 - 13747. Give b(p(m)). 50*m Let y be (0 - (-8)/(-28))*-14. Suppose -y*z + 21 + 11 = 0. Let q(x) = -16 - 2*x**2 + 24 - z. Let s(d) = -10*d**2. Give q(s(j)). -200*j**4 Let q(v) = -v - 162. Let y(b) = -13*b + 72. Let m(k) = 196*k - 1092. Let f(x) = -6*m(x) - 91*y(x). Determine q(f(j)). -7*j - 162 Suppose 51*h = 61*h - 520. Let i(f) = -106*f - 78. Let r(g) = 12*g + 9. Let a(z) = h*r(z) + 6*i(z). Let y(d) = -18*d. What is a(y(m))? 216*m Let y(b) = 21*b. Let t(u) = 2210*u + 12. Determine y(t(v)). 46410*v + 252 Let s(v) = 540874*v. Let t(i) = 9*i**2. Give s(t(n)). 4867866*n**2 Let p(i) be the second derivative of 0*i**2 + 6*i - 17/6*i**3 - 3. Let y(s) be the second derivative of -s**4/4 + 2*s. Give y(p(b)). -867*b**2 Let j(m) = 0*m + m**2 + 0*m. Let n(s) = 53*s - 93*s - 77 + 58*s. Let d(q) = -9*q + 42. Let z(p) = -11*d(p) - 6*n(p). Give z(j(o)). -9*o**2 Let n(m) = -2144*m**2. Let q(b) = -14*b. Let v(i) = -17*i. Let p(j) = 5*q(j) - 4*v(j). Determine p(n(t)). 4288*t**2 Suppose 24*z = 40*z - 16. Let x(o) =
{ "pile_set_name": "DM Mathematics" }
) 0.4 (c) -2/7 (d) 1/4 a Suppose -3 = m + 2*v, 5*m + 25 = 2*m - 2*v. Let p = 2.41 + -2.11. Which is the closest to p? (a) m (b) 1 (c) -2/3 (d) 3 b Suppose -19*y + 17*y = 508. Let d be (2/12*-1)/((-1)/y). Let z = d - -42. Which is the closest to z? (a) -0.4 (b) 11/5 (c) -5 a Let n = -3611/2410 - 2/1205. What is the nearest to n in -1/6, 3, 1/2, 2/7? -1/6 Let o = -1742 + 1742.3. Let i be ((-55)/22)/((-1)/(-2)). What is the nearest to 0.1 in i, o, -1/11? -1/11 Let t = 0.034 - -1.966. Let m = -443 - -424.3. Let z = 19 + m. Which is the nearest to -1? (a) t (b) z (c) 1 b Suppose -36 + 38 = -f. Let s = -0.198 + 8.048. Let k = -0.15 - s. What is the closest to f in k, -5, 0.5? 0.5 Suppose -1 = -12*r + 23. Let j be r*(18/(-6))/3. Suppose s + 0 = 4*q - 15, 4*s = 3*q - 8. Which is the closest to 2/7? (a) s (b) 0.2 (c) j b Let l = -51.1 + -4.9. Let g = 55.3 + l. What is the nearest to -4 in -4, g, 0? -4 Suppose 106 - 119 = -7*h - 5*q, -3*h = 5*q - 17. Which is the nearest to 5? (a) 70 (b) -4 (c) h c Let f(i) = 31*i - 1112. Let m be f(36). Which is the closest to 3? (a) m (b) -1/2 (c) 0.22 a Let i be (-180)/210*(23/16 + -1). Which is the closest to -0.08? (a) -1/2 (b) i (c) 3/4 (d) -1 b Let f = 0.857 + 4.143. Which is the closest to -2? (a) f (b) 4 (c) 83 b Let i = -2.658 - -2.158. What is the closest to i in -4, -2/9, 0.4, -2? -2/9 Let y = 5.5 - 0.5. Let z = y + -5. Suppose -38*o + 426 = -251*o. Which is the closest to -0.3? (a) -0.1 (b) z (c) o a Let x be (335/1675)/(-1*(-1)/(-2)). Which is the closest to x? (a) 0 (b) 13/8 (c) -1 a Let q = 13 + -12.8. Let h = -1.5 - 1.7. Let s = q + h. What is the closest to 15 in s, 2/11, 0.1? 2/11 Let j = 13.5 - 0.5. Let x = 13 - j. Let z = 0.6 + 1.4. Which is the closest to x? (a) -6 (b) -1 (c) z b Suppose -72 = 6*g + 78. Let j be -1*g/(-10)*(-1)/5. Let m = 62 + -493/8. What is the nearest to -0.6 in m, j, -1? -1 Let z = 0.77 + -0.48. Let h = 1323.29 + -1321. Let l = z - h. Which is the closest to 1/4? (a) l (b) -0.4 (c) 4 b Suppose 3*u - 2*s + 11 = 4*u, 2*u = -5*s + 26. Let t = -926 + 927. Which is the closest to t? (a) u (b) 22 (c) 2/9 c Let v = -4969/3 + 1642. Let w = v - -77/6. What is the nearest to w in 2/7, 3, -3, -70/9? -3 Let n = 0.6 - 0.4. Suppose -17*g - 5 - 1 = -6. What is the nearest to g in n, -0.05, -1? -0.05 Suppose 6*o = 13*o - 14. Suppose 0 = -o*h + 14 - 24. What is the closest to 0 in 0, 2/7, h? 0 Let b = -27 + 27.3. Let m be 6/21 - (-346)/14. What is the closest to m in -1, -0.5, b? b Let h = 17.701 + -13.701. Which is the closest to 0? (a) h (b) -5 (c) -2/15 (d) -1/4 c Let d be (-1)/9*(-978)/(-163). Which is the nearest to 2/9? (a) d (b) 0.4 (c) 0.9 b Let q = 37.09 - 36.89. What is the closest to 1.3 in -27, 3, q, 4? q Let o be (-2 - -4)/(-1)*-1. Let y = 0.8 - -0.2. Let n = 71/2 + -1345/38. Which is the nearest to y? (a) 3 (b) n (c) o b Let p = -2/23 + 98/69. Let l = 34.2 + -36. Let f = l - -1.9. Which is the nearest to 1/3? (a) 1/3 (b) p (c) f a Suppose -77*q = -9*q - 10*q + 638. What is the closest to q in -0.08, -1/6, -0.1? -1/6 Suppose 6*u - 40*u = -272. What is the nearest to 0 in 0.5, 0.04, -2, u? 0.04 Let f be (-2)/6 + 66/90. Let b = 21065.97 + -21066. What is the closest to f in b, -1/11, 1/5? 1/5 Suppose -2*p + 25 = -5*k - 5*p, 0 = -5*k + p - 5. Let i = 55577 - 55574. Which is the nearest to k? (a) 2 (b) i (c) 4 a Let z = 755.52 - 775. Let i = z + -0.52. Let x = -20 - i. What is the nearest to -1 in 1, x, 2/7? x Suppose -34*g = -g. Suppose 19*w = 15*w + 8. What is the nearest to 3 in g, 1, w, -7? w Let n = 6 - 2. Suppose -n*s - 93 = 5*u, 4*u = -3*s + 7*s - 96. Let g be 27/u + (1 - 0) + 0. Which is the nearest to -2/5? (a) 0 (b) g (c) 0.5 b Suppose -1 = 2*n - 3*k + 11, -n + 3*k = 9. What is the nearest to 1 in n, 0.0643, 4? 0.0643 Let g = -7792 + 7868. Which is the closest to 2/7? (a) 10 (b) -2 (c) 0.4 (d) g c Let x = 10376 + -10708. Which is the closest to -3? (a) x (b) 2 (c) -0.5 (d) -2/13 c Suppose 476*i - 368*i = 324. Which is the closest to -0.4? (a) -0.07 (b) i (c) 1/4 (d) 1/7 a Let c = -98913/5 - -19783. What is the closest to 8/9 in -0.1, 0.3, 0.5, c? 0.5 Let w = -2.1058 + -0.0642. Let v = 2.07 + w. What is the nearest to -2/3 in v, -4, 3, 5? v Let s = -2888.3 + 2887. Which is the closest to -0.05? (a) s (b) 0.3 (c) -1 b Let x = -38 - -38.1. Suppose 4*u - 28 = 3*w, -u + 5*w + 70 = 63. Which is the nearest to -0.3? (a) u (b) -0.3 (c) x b Let l = -0.684 - -0.384. Which is the closest to 1? (a) -0.2 (b) 10 (c) -2.2 (d) l a Let d be 611/(-231) + 3 - (12 + 3780/(-330)). Which is the closest to d? (a) -1/4 (b) -5 (c) -0.12 a Let b = 5 - 7. Let y = -193 - -210.8. Let q = 18.3 - y. What is the nearest to 1/2 in b, -4, q? q Let k = -1.147 + 1.287. What is the nearest to -1 in 0.3, -3/5, 0.4, k? -3/5 Let g = -7953.3 + 7953. Which is the closest to 0? (a) 15.15 (b) g (c) -4 b Let h = 5548 - 5547. What is the closest to -2 in -1/3, -5/6, -1/2, h? -5/6 Let l be (-327)/(-1308) + ((-151)/12 - 1). Which is the nearest to -2? (a) 0.4 (b) 3 (c) l a Let y(l) = -3*l**2 - 30*l - 20. Let p be y(-9). Suppose 3 = 2*o - w + p, 4*o + 8 = w. What is the nearest to o in 0.8, 2, -1/5? -1/5 Suppose -197*z + 9 = 5*b - 198*z, b - 5*z = -27. Suppose -5*a = f + 4, -2*f = -4*a - 0*f + 8. Let s = a + 0. What is the nearest to 2 in b, s, 2? 2 Let p = -0.056 + -112.944. Let n = p + 112.9. What is the closest to n in 0.3, -13, 0.5? 0.3 Let n = 1742.965 - 1756. Let z = n + 0.035. Let k = -13.1 - z. Which is the closest to 0.5? (a) k (b) -0.4 (c) 1 c Let k = -10 + 14. Let j(v) = -v**3 - 7*v**2 + 10*v + 19. Let q be j(-8). Let r be (2/q)/(-12 - -11). Which is the closest to r? (a) k (b) -5 (c) 0 c Let l = -4.9606 + -0.0394. Which is the closest to -14? (a) -0.24 (b) 3 (c) l (d) -1 c Let f = 3820 + -3820. Which is the closest to 1/2? (a) 0.23 (b) -1/9 (c) f (d) -3 a Let f = -1 + -3. Let n = 45.844 + -46. Let w = n + 0.216. Which is the closest to -2? (a) f (b) 3 (c) w a Suppose -145*k + 143*k - 8 = 0, 5*k + 35 = 5*j. What is the nearest to -2 in -0.43, 0.3, 2, j? -0.43 Let l = 1124.6 + -1164.6. Which is the nearest to 4? (a) 0.3 (b) -5 (c) l (d) -5/3 a Let o = -2.4 + 0.4. Let c = 31602.4 - 31602. What is the nearest to 16 in c, o, 4/7? 4/7 Let d = 154 - 87. Suppose -4*n + d = 51. Which is the nearest to -0.2? (a) 0.06 (b) -3 (c) n a Let p be 1781/822*2/13. Which is the closest to -0.2? (a) -1/6 (b) -2/5 (c) p (d) 5 a Let r = -3908/5 + 27336/35. What is the nearest to 0.1 in 2/3, -134, r? 2/3 Let y be 10/(-8) - (-280)/(-160). Which is the nearest to -0.1? (a) -49 (b) 5 (c) y c Let b = -0.6247 - 372.2753. Let r = 373 + b. Let i = 31/28 + -6/7. What is the closest to -1 in 3, r, i? r Let o be 56/(-1036) - ((-2462)/370 + 7). Let h = -2 - 0. Let f = 0 + h. Which is the nearest to o? (a) f (b) -4 (c) -1/5 c Let v = 7.46 - -5.44. Let i = 9.9 - v. Let r = 0.6 - 0.1. What is the nearest to i in r, -3, -1? -3 Let u = -7.276 + 9.276. Which is the closest to 2? (a) u (b) 2/9 (c) 536 a Let x = 357 + -356. Let k = 0.31 + -0.01. What is the nearest to -1 in -1.3, k, x? -1.3 Let p = -1.014 + 0.014. Let y = 3.1 - p. Let o = y - 3.7. Which is the nearest to 2/9? (a) 3/5 (b) 2 (c) o c Let x = -235/4 + 59. Let y(h) = 133*h - 1461. Let z be y(11). Which is the nearest to 6? (a) z (b) x (c) -4 a Let u = 0.06 + 0.34. Let m = 15923 + -15918. Which is the closest to 3? (a) m (b) -0.4 (c) u a Let j = -32 - -39. Let t = 3.2 - -4.4. Let a = t - 7.5. What is the nearest to -3 in a, -4, j? -4 Let x be (-18)/(-3)*1 - 33/6. Which is the closest to 5/4? (a) -0.3 (b) -2/5 (c) x (d) -1/7 c Let p be 6*(21 + (-645)/30). Which is the nearest to -2/911? (a) 4/3 (b) p (c) 1 (d) -1 d Let b be 2/5 + 1040/25. Suppose 51*h - 111 = b. What is the closest to -0.2 in h, 0, -12, 4? 0 Let g = 10459 - 10465. What is the nearest to g in -2, -9, 2? -9 Suppose 9 = 3*k, -9 = -p - 5*k + 4. Which is the nearest to p? (a) -0.1 (b) -0.11 (c) 3 (d) -4 b Suppose 2*w + q + 14 = 2*q, -5*w - 4*q - 22 = 0. Let m(x) = 17*x - 15. Let i be m(1). What is the nearest to i in -4, -0.4, w? -0.4 Let h = -0.73 - -0.914. Let r = h - -0.026. L
{ "pile_set_name": "DM Mathematics" }
-28307.2 - -28307. Let l = 0.2 + -0.3. What is the third smallest value in 0.3, 0.9, u, l? 0.3 Let s = -4744 - -4745.2. Let m = 0.54 - 0.04. Which is the second biggest value? (a) m (b) s (c) -0.1 (d) -4 a Let u = 57.812 - 58.212. Let w be 6 - 0 - (-2)/(-2). Let l be (-10)/6*2/w. What is the fourth biggest value in 1/2, l, 8, u? l Let r = 1858 - 1850. Let i = 0.5 - 0.6. Which is the smallest value? (a) r (b) 4 (c) -0.4 (d) i c Let q = -207.6 + 205.3. Which is the third smallest value? (a) 0.1 (b) q (c) 4 c Let f(l) = l**3 - 23*l**2 - 114*l + 164. Let o be f(27). What is the third biggest value in 27, o, 19/3? o Let q = 10186 + -10109. Which is the second smallest value? (a) 2/15 (b) q (c) 0.1 (d) 5 a Suppose -340 = 2*q + 15*q. Let o be (-2 + 7)*(-3 - 64/q). Which is the second biggest value? (a) 0.4 (b) -1 (c) o a Let f = 2.504 - 2.464. Which is the smallest value? (a) -1/16 (b) -2 (c) f (d) -1 b Let a = 5944 - 5944.2. What is the third smallest value in a, 1/8, -0.7, -1/9, -1/2? a Let x = -1052 + 1052. Which is the smallest value? (a) x (b) 1.3 (c) -0.9 (d) -3/7 c Let t = 94/11 - 387/44. Let f = -9.27 + 9.28. Which is the smallest value? (a) t (b) -0.4 (c) f b Let i = 20219 + -20219.5. Let n(y) = -14*y**2 + y. Let j be n(-4). Let l = j + 1602/7. Which is the second smallest value? (a) l (b) i (c) -4 b Let h be (46/(-540))/(2/(-6)). Let i be 2/44*-4 - 141/(-594). Let l = h - i. What is the second smallest value in l, -5, -2, -3? -3 Let r = -0.076 + -89.924. Let f = -89.76 - r. Let s = -1.76 - f. Which is the biggest value? (a) s (b) -2/11 (c) -5 b Let a = -0.2577 - 39.5423. What is the biggest value in a, -1/5, 0.5? 0.5 Suppose 0 = -4*z + 3*t + 8, 7 = -2*z - 2*t + 11. Suppose -o = z*g - 1, g - 8 = -g. Let r = 0.01 - 2.01. Which is the biggest value? (a) r (b) o (c) 0.2 c Let u = -23513 + 23511. Which is the biggest value? (a) -1/3 (b) u (c) -0.5 a Let n be 0 - -4 - ((1045/(-57))/(-11) + 2). Which is the fifth smallest value? (a) 2 (b) -0.4 (c) 3 (d) 2.62 (e) n c Let q(y) = y**3 + 9*y**2 + 26*y + 19. Let n be q(-4). What is the second biggest value in 2, -13, -1/5, 0, n? 0 Let i = 110.61 - 110.01. Which is the third biggest value? (a) i (b) 8/3 (c) -2 c Let f = 4 - 37/9. Let d = -131 - -75. Let z be -2 - d/(-30) - (-7 + 3). Which is the smallest value? (a) 4 (b) z (c) f c Let q = 407 - 405. Suppose 5 = n - f - 9, 0 = 3*n + q*f - 17. Which is the smallest value? (a) -0.1 (b) n (c) -5 (d) 0 c Let m = 21.976 + 0.024. Let y = -28.3 + m. Let c = -2.3 - y. What is the second biggest value in -3, -3/8, c? -3/8 Let y = -0.292 + 0.207. Let u = y + 4.085. Which is the smallest value? (a) u (b) 8 (c) -2 (d) -4 d Let y = -18191 - -18191.4. Which is the biggest value? (a) y (b) 4/5 (c) 29.2 c Suppose 22 - 38 = 3*g - 5*n, 0 = 3*g - 2*n + 10. What is the second smallest value in g, -0.4, -44? g Let v(c) = -2*c - 12. Let p be v(-8). Suppose -9*o = -p*o - 10. Let n be (o/(-18))/((-10)/(-75)). What is the second biggest value in 1, n, 1.2? 1 Let h = 3137 - 3137.514. Which is the biggest value? (a) 0.1 (b) h (c) 3/5 (d) -5 (e) -0.5 c Let h = -4327 + 4327.3. Let l be (-19 - -4)/(2/2). Let i be -1*(-3)/l*-3. What is the third smallest value in -7, h, i? i Let o = -124 - 170. Let p = o - -257. What is the second biggest value in 1/2, p, -1/3? -1/3 Let j = 1471 - 1470.6. Which is the third biggest value? (a) 0.1 (b) j (c) 3 (d) -6 (e) -0.2 a Let v = 0.3 - 0.3. Let i = v + 5. Let n = 3.211 + 0.789. What is the second biggest value in -1, i, n? n Let m be 731/(-1190) - (2 + (-217)/98). Let w(t) = t**3 - t**2 + 3*t + 1. Let x be w(-2). Which is the smallest value? (a) 5/2 (b) x (c) m (d) -1/3 b Suppose -3*m + 0 = h - 4, -5*h = -5. Let g = 8.84 + -6.84. What is the second smallest value in 18, m, g? g Let z be ((-5)/15)/(19/(-399)). Which is the fifth biggest value? (a) 3 (b) z (c) -1/2 (d) -5 (e) 2/3 d Let y be (8 + 15)/(-276) - (5/3)/(-5). Which is the third biggest value? (a) -0.1 (b) 7662 (c) 3 (d) y d Let s = -13/17 - -307/357. Let f = 82.24 + -86. Let m = f - 0.24. Which is the third biggest value? (a) s (b) -0.7 (c) m c Let s be (2*(-4)/(-6))/(-1 + (-90)/(-27)). What is the third smallest value in 20.73, 3, s, 5? 5 Suppose -6*q = q + 280. Let m be 2*(-2 + (-68)/q). Let v be (-57)/(-12) + -4 - (-6)/(-8). Which is the second smallest value? (a) m (b) v (c) 2 b Let p = -665/36 + 37/2. Let d = -53/36 - p. Let z = 149 + -144. Which is the biggest value? (a) d (b) 4 (c) z c Let j be (-11)/(-2)*64/176. Let i = -2.03 + 2. Let q = -0.43 - i. What is the second smallest value in -1, q, 5, j? q Let g be (-176)/(-18) + -7 + -3. Let v = -305 - -2749/9. Which is the biggest value? (a) g (b) -2 (c) v (d) 0.4 c Let n = -4339 - -4339. Which is the second smallest value? (a) 10 (b) -2 (c) -0.99 (d) n c Let z(f) = 5*f**2 + 10*f - 49. Let l be z(9). Let p = l + -3121/7. Which is the second smallest value? (a) -1/10 (b) 1/4 (c) p c Let r be (-93)/234 - (1176/312 - 4). What is the smallest value in r, 0.09, 2, 0.18, 1? r Let p = 72.958 + -73. Let c = p - -0.042. What is the second biggest value in -2/13, -6, c? -2/13 Let x be 24/110 + 2/(-5). Let q = 250 + -216. Let f = q + -33.9. Which is the second biggest value? (a) f (b) x (c) 1 a Let l = -38962 + 5493677/141. Let u = l + 4/47. Which is the second biggest value? (a) 2 (b) -6 (c) u c Let g = 77.26 + -77.3. Let f = 389/10 + -77/2. What is the second smallest value in f, g, 2, -3? g Let h = 367724/9 + -40858. Let n be (-2)/(-6) - 177/585. Which is the third biggest value? (a) h (b) n (c) 0 c Let b = 17 - -25. Let j = b - 55. What is the fourth smallest value in 0.3, 2, j, 4? 4 Let x = 14 + -10. Let q = -2719.7 - -2719.67. What is the fourth biggest value in -2, -1/4, x, q? -2 Let r = 45 - 47. Let m = -0.1 + 0.84. Let n = m + 0.46. What is the smallest value in r, -3, n, 2/3? -3 Let f = 270 - 267. Let b be 0 - (-49)/42*(-4)/14. What is the second smallest value in f, -1, 17/4, b? b Let s = 4.169 - 5.169. What is the third biggest value in -0.16, 0, s, -5, -3? s Let y be (49/14*2/14)/(-2). Let z(a) = a**3 - 13*a**2 + 11*a + 5. Let k be z(12). What is the fourth biggest value in k, -6, y, -0.2? k Let f = 73/830 - 81/166. Which is the second biggest value? (a) -4 (b) 5 (c) f (d) 5/2 (e) 6 b Let m(w) = -36*w**2 + 18*w + 34. Let k be m(-2). Which is the third biggest value? (a) 0 (b) k (c) 0.4 (d) -5 (e) -4 e Let y = -43.83 + 43.83. What is the second biggest value in y, 0.1, -0.19? y Let j = 31 - 31. Let l be (-2)/(-1) - (-2 - j). Let f = -75 + 74.8. What is the third smallest value in f, l, 2, -0.5? 2 Let z = 7.477 + -3.477. Which is the third smallest value? (a) z (b) -2/5 (c) -46 a Suppose -7*f + 15 = -20. Suppose f*j = -157 + 167. Which is the smallest value? (a) 3/7 (b) -61 (c) j b Suppose 0 = 2*v, -r - r + 710 = 4*v. Let u = 70 - r. Let g = -3701/13 - u. Which is the second smallest value? (a) 1/5 (b) -2/7 (c) g (d) -5 b Let h = 50 - 15. Let w = 68 - h. Let x(s) = -2*s**2 - 6*s - 1. Let q be x(-2). Which is the third biggest value? (a) w (b) 2/21 (c) q (d) 0.1 d Let n be -7 + (1 - (0 - -4 - (-118)/(-12))). What is the biggest value in 7053, n, -3? 7053 Let n = -0.019 + -0.981. Let g = 16 + -29. Let j = g + 12.8. Which is the second smallest value? (a) -4 (b) n (c) 2/17 (d) j b Suppose -x + 7 = 2. Suppose 3*p + 25 = -2*t, x*p + 24 = -2*t - 11. What is the second biggest value in -12, p, 0.04? p Let x = -3464 - -3469. What is the third smallest value in -11, -107, x? x Suppose 3*g + 8 = -p, 2*p + 19 = -4*g + 7. Suppose 3*i - 24 = -5*i. Let m be 1/(-5) + 66/(-70). What is the fourth biggest value in i, p, -2/3, m? p Let j be 7 + 2 + 4 + -15. Let z = -34.8 - -35. What is the biggest value in 8, -1/4, j, z? 8 Let u = 79 + -22. Let w = u + -56.8. Let y = 877/8 + -110. Which is the biggest value? (a) -0.8 (b) w (c) y b Let i = -15231 + 15232. What is the third biggest value in i, 24, -0.1? -0.1 Let p = -2026 - -2027. Let y = -11 + 8. Which is the second biggest value? (a) y (b) -0.3 (c) p (d) 2/53 d Let v be 204/18 + -48 + 37. What is the third smallest value in -5, 0.12, v, 0.2? 0.2 Let
{ "pile_set_name": "DM Mathematics" }
2288160*f**3 What is the third derivative of 2727*y**5 - 18*y**4 + 3*y**3 - 4559802*y**2? 163620*y**2 - 432*y + 18 What is the third derivative of -c**6*p + 2*c**3*p**2 - 3806*c**3 - 2*c**2*p**2 + c**2*p - 12*c**2 - 1026*c*p**2 - 9*p**2 wrt c? -120*c**3*p + 12*p**2 - 22836 What is the second derivative of 9*m**4 + 26*m**3 - 61*m**2 - 192*m - 318 wrt m? 108*m**2 + 156*m - 122 Find the third derivative of -543*g**4 + 61*g**3 - 2*g**2 + 19265*g wrt g. -13032*g + 366 Differentiate 241*i*l**2*u - 11*i*l*u + 119*i*u - 61*i + 3*l**2*u - 1 wrt l. 482*i*l*u - 11*i*u + 6*l*u What is the third derivative of 1252918*o**5 - 6*o**2 + 238*o - 6? 75175080*o**2 Differentiate -109468*k**2*s - 191*k**2 - s - 71 wrt s. -109468*k**2 - 1 Find the second derivative of -69671*q**2 + 6*q + 4742 wrt q. -139342 What is the second derivative of -11720*a**2*u**2 + a**2 - 2473*a*u + 4*u**3 wrt u? -23440*a**2 + 24*u What is the derivative of -83*k**2*u + 30871*k*u - 253385*u + 1 wrt k? -166*k*u + 30871*u Differentiate 88*f**2*o**2 + 5266467*f**2 + 2*f*o + 6142*o wrt o. 176*f**2*o + 2*f + 6142 What is the first derivative of 4655*h*l**3*p + 2*h*l**3 - 4*h*l**2 + 6*h*p - 1071 wrt p? 4655*h*l**3 + 6*h Find the second derivative of -y**4 - 1646*y**3 + 4*y**2 - 25009*y wrt y. -12*y**2 - 9876*y + 8 Find the second derivative of -317884*g**3 + 250093*g wrt g. -1907304*g Find the first derivative of -247*l**2*w + 3*l**2 - l*w**2 + l*w - 6491*w**2 wrt l. -494*l*w + 6*l - w**2 + w What is the second derivative of 12113*h*t*u**2 - 2036*h*t*u - 2*h*t - 17*h*u + t*u**2 wrt u? 24226*h*t + 2*t What is the second derivative of 4*s**4 + 34*s**3 + 9*s**2 - 1807*s + 1? 48*s**2 + 204*s + 18 What is the third derivative of 17023*y**5 - 52213*y**2 wrt y? 1021380*y**2 What is the first derivative of -1466339*v - 1034567? -1466339 Find the second derivative of -2*c**2*i**2*u**2 + 4*c**2*i**2*u + 16354*c**2*i*u**2 + 3861*i**2*u wrt u. -4*c**2*i**2 + 32708*c**2*i Find the first derivative of 1035*w**2 - 93*w - 426453 wrt w. 2070*w - 93 What is the derivative of -3*f**4 - 4252*f - 7599 wrt f? -12*f**3 - 4252 What is the second derivative of -2*c*n**3 + 25931*c*n**2 - 18*c*n + 99*c - 2*n**3 + 4*n + 6 wrt n? -12*c*n + 51862*c - 12*n Find the third derivative of -6*k*y**4 - k*y**3 + 137*k*y**2 - 772*y**4 - y**3 + 934*y**2 wrt y. -144*k*y - 6*k - 18528*y - 6 Find the second derivative of -8*l**5 - 12*l**3 - 511*l**2 + 403*l + 112 wrt l. -160*l**3 - 72*l - 1022 What is the third derivative of -2*l**5 - 24392*l**3 - 54434*l**2 wrt l? -120*l**2 - 146352 What is the third derivative of -2*p**3*q**2 + 25708*p**3*q - 4*p**3 + 477*p**2*q**2 - 282*p**2*q - p**2 + 2*p + 2*q wrt p? -12*q**2 + 154248*q - 24 What is the third derivative of -607*i**6 + 41*i**4 + 170228*i**2 wrt i? -72840*i**3 + 984*i Find the third derivative of -d*o**3*q**3 + 74193*d*o**3*q + 16*d*o**2*q - 2*d*o*q + 10*d*o - o**2*q**3 wrt o. -6*d*q**3 + 445158*d*q Find the second derivative of -189362*o**4 - 23114*o. -2272344*o**2 Find the second derivative of 2*n**5 + 93554*n**4 - 2*n**2 + 114194*n. 40*n**3 + 1122648*n**2 - 4 Find the second derivative of 13*r**2*u**2*y + 2*r**2*u**2 + 2*r**2*u*y - 2*r**2 + 23*r*u*y - 75*u**2*y + 2*u**2 - 4*u + 2*y wrt u. 26*r**2*y + 4*r**2 - 150*y + 4 What is the second derivative of -7*k**4*p - 8478*k**4 - 2*k*p + 2*k - 10*p + 1260 wrt k? -84*k**2*p - 101736*k**2 What is the second derivative of -2*g**3*l**2 + 2*g**3*l - 1235*g**3 + 21519*g*l**2 wrt g? -12*g*l**2 + 12*g*l - 7410*g What is the third derivative of 2*w**6 - 18534*w**4 + 6*w**2 - 3*w + 1248? 240*w**3 - 444816*w Differentiate 32*h*k*w + 3*h*k - 115*h*w + 2*h + 1662*k*w + 104*k with respect to h. 32*k*w + 3*k - 115*w + 2 What is the derivative of -2*j**2*u*w + 386*j**2*u - 36*j**2 + 208*j*u*w**2 + j*u + 22*j*w**2 - 2*j wrt w? -2*j**2*u + 416*j*u*w + 44*j*w What is the second derivative of -8684*c**2*s*u**2 + 5*c**2*s*u + 154*c**2*u wrt u? -17368*c**2*s Find the third derivative of -53653*y**3 - 60*y**2 - 112. -321918 What is the third derivative of -7845*o**4 + 22*o**3 - 2*o**2 + 266629*o? -188280*o + 132 Find the third derivative of -2111945*i**5 - 10*i**2 - 76737 wrt i. -126716700*i**2 Find the third derivative of 1165794*t**6 + 3*t**2 + 24874*t wrt t. 139895280*t**3 Differentiate -a**2*w**3 - 2*a**2*w*x + 85*a**2*w*y - 6*a*w**3*y + a*w**2 + 2*a*w*x - 97*a*x*y + 240*a*x - w**2 with respect to y. 85*a**2*w - 6*a*w**3 - 97*a*x What is the derivative of 895*r**2*v**2 + r**2*v - 11*r*v**2 + 27875*v**2 wrt r? 1790*r*v**2 + 2*r*v - 11*v**2 Find the second derivative of -16*j**3*m**2 + 2*j**3*m*z**2 + 3*j**2*z**3 + 112*m**2*z**3 - m*z + 40*m wrt m. -32*j**3 + 224*z**3 Differentiate -83523*q + 74109. -83523 Find the second derivative of 20*y**2*z**2 + 2*y**2*z + 136*y**2 - 17886*y*z + 3*z**2 wrt y. 40*z**2 + 4*z + 272 What is the second derivative of 118*c*i**3 + 5*c*i**2 + 260*c*i + 3*c + 2*i**3 + 2*i**2 - 2*i wrt i? 708*c*i + 10*c + 12*i + 4 Find the third derivative of -2*i*w**3 + 832*i*w**2 - i*w*z**3 + 2*i*w - 2*i + 240833*w**3*z**3 + 6*z**2 wrt z. -6*i*w + 1444998*w**3 Find the second derivative of -3*b**3*h**2 - b**3*h + b**3 + 8*b**2*h**2 - 231754*b*h + 2*b + 922*h**2 - h wrt h. -6*b**3 + 16*b**2 + 1844 What is the second derivative of 81552*p**2*t**3 + 7*p**2*t + 2*p*t + 3569*p wrt t? 489312*p**2*t What is the second derivative of -23027*o**2 - 772*o wrt o? -46054 Differentiate 1784*w**2 - w + 614480 with respect to w. 3568*w - 1 Differentiate -b**3 - 2070*b**2*d*z - 7*b*d + 4*d*z - 3*d - 19*z - 292 with respect to b. -3*b**2 - 4140*b*d*z - 7*d What is the third derivative of -6*j**2*k*q**3 + 13032*j**2*q**3 + 4585*j**2*q**2 - 2*j*k + 99*j*q**2 - 2*k*q wrt q? -36*j**2*k + 78192*j**2 What is the third derivative of 171*i**6 - 114*i**2 + 3*i - 3 wrt i? 20520*i**3 What is the derivative of -630607*n + 281650? -630607 What is the first derivative of 1481*h**3*l - 30*h**3 - 6*h**2*l + 420*h**2 + h + 12*l wrt l? 1481*h**3 - 6*h**2 + 12 What is the second derivative of -6*f*n**3*p - 2*f*n**2*p - 1179*f*n*p**2 - 9*f*p**2 - n**3*p**2 + 297*n**2 - 2*n wrt p? -2358*f*n - 18*f - 2*n**3 Find the third derivative of -4686*i**2*m**4 + 2*i**2*m**2 - 17119*i**2 wrt m. -112464*i**2*m Find the third derivative of 3192*o**3*y**4 - 352*o**3*y + 70*o**2*y**2 + 3*o*y**5 wrt y. 76608*o**3*y + 180*o*y**2 What is the third derivative of 5502965*p**3 - 229802*p**2 + 4*p? 33017790 Find the third derivative of 247*u**6 - u**5 + 2*u**3 + 47*u**2 + 3987 wrt u. 29640*u**3 - 60*u**2 + 12 What is the derivative of -575795*g**3 + 359348 wrt g? -1727385*g**2 Find the second derivative of -327*o**5 + 4*o**4 - 11*o**2 - 384*o + 6. -6540*o**3 + 48*o**2 - 22 What is the derivative of 603895*p - 221816? 603895 What is the first derivative of -32*j*x**3 - 3*j*x**2 + 4*j*x - 80*j + 23*x**3 + 116*x wrt j? -32*x**3 - 3*x**2 + 4*x - 80 Find the second derivative of 244786*q**3*t*y**2 + q**3*t*y - 2*q**2 + 3*q*t*y + 4*q*y**2 + 65*t*y**2 - t*y + 3*y wrt q. 1468716*q*t*y**2 + 6*q*t*y - 4 Differentiate -15*x**4 - 52*x**2 - 3*x + 34422 with respect to x. -60*x**3 - 104*x - 3 Find the second derivative of 57*z**4 - 3434*z**2 + 29*z + 10572 wrt z. 684*z**2 - 6868 Differentiate 339*t**3 - 3296*t + 3581030 with respect to t. 1017*t**2 - 3296 Find the first derivative of 11*c**3 - 5*c**2 + 316*c + 764224 wrt c. 33*c**2 - 10*c + 316 Differentiate 8923*s**4 - 72288 with respect to s. 35692*s**3 What is the second derivative of -1859510*p**2 - 1253381*p? -3719020 What is the second derivative of -511*v**4 - 16*v**3 + 5*v**2 - 150217*v wrt v? -6132*v**2 - 96*v + 10 What is the derivative of g**3*l - 97074*g**3 + 1506*g**2*l**2 wrt l? g**3 + 3012*g**2*l What is the derivative of -233266*c + 591352 wrt c? -233266 What is the third derivative of -20909*r**6*s**3 + 810*r**2*s**3 + r**2*s wrt r? -2509080*r**3*s**3 What is the second derivative of -77833*m**3*v**2 + 421*m**3*v - m**3 - 6*m**2*v + m**2 - 6*v wrt v? -155666*m**3 Differentiate 220298*h**3 + 640510. 660894*h**2 What is the second derivative of -c**3*p**2 + 57*c**3*p + c**3 + 20*c**2*p**2 + 198*c**2*p + c*p**2 + 252*p**2 wrt p? -2*c**3 + 40*c**2 + 2*c + 504 Find the second derivative of 2855084*k**2 + k - 3965700 wrt k. 5710168 What is the second
{ "pile_set_name": "DM Mathematics" }
increasing order. -53, -6, -4/3 Put -1/2, 5, -0.06, 48/7, -5 in descending order. 48/7, 5, -0.06, -1/2, -5 Sort -569, 1/4, 1. -569, 1/4, 1 Sort -264, -5, -3, -1, -4 in descending order. -1, -3, -4, -5, -264 Sort -7, 4, -2. -7, -2, 4 Put 4, -6, -5, 0, 12 in ascending order. -6, -5, 0, 4, 12 Put 2, -43, -10, -4, 1 in increasing order. -43, -10, -4, 1, 2 Put 0.012, 0.4, 8 in increasing order. 0.012, 0.4, 8 Sort -16995, -3, -5 in ascending order. -16995, -5, -3 Sort 2/25, 19, -0.1 in increasing order. -0.1, 2/25, 19 Put -1, 0, -3, 28 in decreasing order. 28, 0, -1, -3 Put -3/8, 1/18, 1 in ascending order. -3/8, 1/18, 1 Put 0.14, -2, 1/12 in decreasing order. 0.14, 1/12, -2 Sort -3, -2/5, 113, 2/5 in descending order. 113, 2/5, -2/5, -3 Sort 4, 925, -4 in ascending order. -4, 4, 925 Sort 3, 24, 0.5 in descending order. 24, 3, 0.5 Sort -24, 1/5, -2, 3 in decreasing order. 3, 1/5, -2, -24 Sort -14, 5, -3, 1. -14, -3, 1, 5 Sort -4, 12, -11, 3 in decreasing order. 12, 3, -4, -11 Put 23, -12, -1 in descending order. 23, -1, -12 Put 18, 3, 11, -4 in ascending order. -4, 3, 11, 18 Sort 0, 162, -13, 2 in decreasing order. 162, 2, 0, -13 Put -2, 20, 133, -4 in ascending order. -4, -2, 20, 133 Put 3/5, -2/13, 0.025 in descending order. 3/5, 0.025, -2/13 Put -5, 7, 121, 0.5 in decreasing order. 121, 7, 0.5, -5 Put -4, 3.8, 0, 0.2, -3.7 in descending order. 3.8, 0.2, 0, -3.7, -4 Sort -3/4, -0.4, -4, 0.2, -47/2 in decreasing order. 0.2, -0.4, -3/4, -4, -47/2 Put -3, 1, -5, -1 in increasing order. -5, -3, -1, 1 Sort -3, -3/7, -35 in increasing order. -35, -3, -3/7 Put -9, 66, 3 in descending order. 66, 3, -9 Sort -18, 9/7, -2/9, 0 in ascending order. -18, -2/9, 0, 9/7 Sort -3/7, 3/41, 1 in ascending order. -3/7, 3/41, 1 Sort 5, 2, 39, -2 in increasing order. -2, 2, 5, 39 Put -3, 87, 1, 5, -1 in decreasing order. 87, 5, 1, -1, -3 Sort 5, -0.0424, -0.3 in ascending order. -0.3, -0.0424, 5 Sort -0.03, -2, -4, 2/29. -4, -2, -0.03, 2/29 Sort 2727, -2, -5 in descending order. 2727, -2, -5 Sort -0.4, 3, -2685/4, 0, 5 in ascending order. -2685/4, -0.4, 0, 3, 5 Sort -0.16, -2/9, 0.6. -2/9, -0.16, 0.6 Sort 5, 4, -1, -19 in descending order. 5, 4, -1, -19 Put 4, -100, -4, 7, -5 in descending order. 7, 4, -4, -5, -100 Sort 2, 3, 0, 8 in increasing order. 0, 2, 3, 8 Put 0, 54, -52 in ascending order. -52, 0, 54 Sort -189, 2, 4 in decreasing order. 4, 2, -189 Put -3/5, 8, 0.1, -0.1 in increasing order. -3/5, -0.1, 0.1, 8 Sort 0, -5, 13 in increasing order. -5, 0, 13 Sort 3, -12, -5, 1. -12, -5, 1, 3 Sort 15, 0, 65 in ascending order. 0, 15, 65 Put -3, -5, 31 in descending order. 31, -3, -5 Sort 6, -3, -4, -1 in descending order. 6, -1, -3, -4 Put 27, 9, -5 in ascending order. -5, 9, 27 Put -63, -1, 13, 4, 1 in decreasing order. 13, 4, 1, -1, -63 Put -3, -8, 2, 0.02 in increasing order. -8, -3, 0.02, 2 Sort 0, 3, -4, 5 in decreasing order. 5, 3, 0, -4 Put -2, -0.02, -1.73 in descending order. -0.02, -1.73, -2 Put -0.05, -1/2, 4, -3/2 in ascending order. -3/2, -1/2, -0.05, 4 Sort -2, 5, -48, 4, -4. -48, -4, -2, 4, 5 Sort 1/3, 0, -292, 1/9 in decreasing order. 1/3, 1/9, 0, -292 Sort 0.4, 1.8, 5, -2/15, -3. -3, -2/15, 0.4, 1.8, 5 Sort -4, -1, -84 in decreasing order. -1, -4, -84 Sort 5, 61, 4, 3, 9. 3, 4, 5, 9, 61 Sort 44, -5, 0 in increasing order. -5, 0, 44 Put -5, 12, 9, 11 in increasing order. -5, 9, 11, 12 Sort 0, -15, 104, 5 in ascending order. -15, 0, 5, 104 Sort 1, 16, 2, -5, 0 in ascending order. -5, 0, 1, 2, 16 Sort 5, 0.5, 9, 0.3, -1/2 in descending order. 9, 5, 0.5, 0.3, -1/2 Put 2, -2, 32, 3, 5 in increasing order. -2, 2, 3, 5, 32 Put -12, 3, 6, 8 in decreasing order. 8, 6, 3, -12 Put -2/15, 0.5, -1.23, -5, 0.2 in increasing order. -5, -1.23, -2/15, 0.2, 0.5 Sort 0.52, -0.4, 0.3 in increasing order. -0.4, 0.3, 0.52 Sort 9, 3, 140 in descending order. 140, 9, 3 Sort -2, 0, 3. -2, 0, 3 Sort -2/3, -1.4, -1/3, 1/6, 2/5 in ascending order. -1.4, -2/3, -1/3, 1/6, 2/5 Sort 0.3, 0.5, -241 in ascending order. -241, 0.3, 0.5 Sort -112, -5, -1, 5, 2 in ascending order. -112, -5, -1, 2, 5 Sort -36, 0, 26 in ascending order. -36, 0, 26 Sort -0.4, -2/85, 4, 2/17, -4/3. -4/3, -0.4, -2/85, 2/17, 4 Sort 2, 11, 1 in ascending order. 1, 2, 11 Sort 0.5, -5, -0.2, 0.2 in increasing order. -5, -0.2, 0.2, 0.5 Sort -3, -5, -32, 4. -32, -5, -3, 4 Put 1, -7, -14 in ascending order. -14, -7, 1 Put -2, -8, -1/4, -103/6 in increasing order. -103/6, -8, -2, -1/4 Put 2, 6, 8 in descending order. 8, 6, 2 Put 27, 1, 5 in descending order. 27, 5, 1 Put 14, -4, -10 in decreasing order. 14, -4, -10 Sort 1/14, -37, -2, -5. -37, -5, -2, 1/14 Put 3, -1, -111, -5, -2 in ascending order. -111, -5, -2, -1, 3 Put 1, 3, 15, 5, -4 in ascending order. -4, 1, 3, 5, 15 Put 89, 4, 3 in decreasing order. 89, 4, 3 Put 151, 16, -4 in increasing order. -4, 16, 151 Sort 3/13, -11, -5, -2/11. -11, -5, -2/11, 3/13 Put 3, -10, -59, 5, -1 in decreasing order. 5, 3, -1, -10, -59 Sort 104, 3, 4, -3, -25. -25, -3, 3, 4, 104 Sort -1134, -1/2, 0.3, -3 in descending order. 0.3, -1/2, -3, -1134 Sort -3, -42, -1, 3, -38. -42, -38, -3, -1, 3 Put 2, -5, -3, -1 in increasing order. -5, -3, -1, 2 Sort -7/60, 1, 1/3 in ascending order. -7/60, 1/3, 1 Sort 8, 9, 1, -4, -6 in ascending order. -6, -4, 1, 8, 9 Sort 0, 157, -4 in descending order. 157, 0, -4 Put 2, 1, 14, -17 in decreasing order. 14, 2, 1, -17 Sort 3, 18, -5 in descending order. 18, 3, -5 Put 2, -54, -0.2 in decreasing order. 2, -0.2, -54 Sort 0.98, -0.3, 3 in increasing order. -0.3, 0.98, 3 Put -5, 4, 1/8, 1, 49 in ascending order. -5, 1/8, 1, 4, 49 Sort -10, -3, 2, -22, -4 in descending order. 2, -3, -4, -10, -22 Sort 0, 5, -48 in ascending order. -48, 0, 5 Sort -4, -1, -9, 0 in increasing order. -9, -4, -1, 0 Put -3/4, -2, 1/4, 2/3, -1 in increasing order. -2, -1, -3/4, 1/4, 2/3 Put -10, 20, -0.1, 2 in descending order. 20, 2, -0.1, -10 Sort 0, -980, -0.1, 1, -4 in descending order. 1, 0, -0.1, -4, -980 Sort 618, -5, 5 in decreasing order. 618, 5, -5 Put 17, 7, -1, 3 in decreasing order. 17, 7, 3, -1 Put -5, -36, 5, 180 in decreasing order. 180, 5, -5, -36 Sort 162, 5, -2, -4, -5 in increasing order. -5, -4, -2, 5, 162 Sort -4, -2, 2, -1, 3. -4, -2, -1, 2, 3 Sort 2/9, 3.75, -5. -5, 2/9, 3.75 Put -3, 16, -2, 2 in decreasing order. 16, 2, -2, -3 Put -2, 1, -7, 51 in descending order. 51, 1, -2, -7 Sort -4/5, 1, 8 in descending order. 8, 1, -4/5 Sort -2, -66, -1/3, -3/10. -66, -2, -1/3, -3/10 Sort 1, -11, -3, 5 in decreasing order. 5, 1, -3, -11 Put -3/2, -2, -84, -4 in descending order. -3/2, -2, -4, -84 Sort -5, -142, 5, -1, -3. -142, -5, -3, -1, 5 Put -2/35, -13, -3 in ascending order. -13, -3, -2/35 Put 13, -1, -3/4 in decreasing order. 13, -3/4, -1 Sort -51, -4, 0, 2. -51, -4, 0, 2 Sort 5, 1, -5, 0, -439 in ascending order. -439, -5, 0, 1, 5 Sort -5, 25, 5 in descending order. 25, 5, -5 Sort 21, -42, -3, -1. -42, -3, -1, 21 Sort -2/25, -1/2, 223, 2/3. -1/2, -2/25, 2/3, 223 Put 3, 23, -2, -4 in ascending order. -4, -2, 3, 23 Sort -6, -54, -5. -54, -6, -5 Sort 2, 11, -4, -9. -9, -4, 2, 11 Put 0, -7, 2, -1 in descending order. 2, 0, -1, -7 Sort 1/4, 1/3, -1 in decreasing order. 1/3, 1/4, -1 Sort 0.5, 0.06, 1 in decreasing order. 1, 0.5, 0.06 Sort 1/71, 2/9, 0.4 in descending order. 0.4, 2/9, 1/71 Sort 235, 3, -4 in increasing order. -4, 3, 235 Sort -4, 0, -13, 3 in decreasing order. 3, 0, -4, -13 Put -2/7, 2, 0, -46 in decreasing order. 2, 0, -2/7, -46 Sort -0.03, 243, -0.3 in ascending order. -0.3, -0.03, 243 Sort 3/4, -2/15, 4, 5. -2/15, 3/4, 4, 5 Sort -2, -172, -3 in ascending order. -172, -3, -2 Sort -3/7, 55, 0.3, 4, -23. -23, -3/7, 0.3, 4, 55 Sort 0, 2/7, -2.8 in decreasing order. 2/7, 0, -2.8 Sort 1, -5, 5 in decreasing order. 5, 1, -5 Put 0, -1, -6, 1, 16 in ascending order. -6, -1, 0, 1, 16 Sort -6, 32, 2 in ascending order. -6, 2, 32 Put 1, -1, -5, 75 in decreasing order. 75, 1, -1, -5 Sort -4, 5, 2, -13, 4 in descending order. 5, 4, 2, -4, -13 Put -26, 5, -5, 4, -1 in increasing order. -26, -5, -1, 4, 5 Put 3, 2, -9, 13 in increasing order. -9, 2, 3, 13 Sort 3, 3/2, -4, -7 in increasing order. -7, -4, 3/2, 3 Put 6, 4, 3, -2, 1 in descending order. 6, 4, 3, 1, -2 Put 170, 0, -4 in descending order. 170, 0, -4 Put -13, -2, 0 in decreasing order. 0, -2, -13 Pu
{ "pile_set_name": "DM Mathematics" }
creasing order. -4, r, 0.1, 1/5 Let l = 9 + 64. Let w = l + -76. Sort -20, w, 1/2. -20, w, 1/2 Suppose 8*v + 24 = 4*v. Let u be (3 - 1)*v/20. Suppose -4*f + 4 = -0*f. Put f, 0.2, u in increasing order. u, 0.2, f Suppose 0 = -p + 2, 4*h + 64 = -5*p + 3*p. Let s = -14 - h. Put 5, 1, s in descending order. 5, s, 1 Let r = -1118 + 1121. Sort -2, 2, r, 29 in decreasing order. 29, r, 2, -2 Let z(j) be the first derivative of -j**2/2 + 10. Let q be z(-4). Suppose -q*d + 2*y = -8*d + 6, -2*y = -10. Sort d, 3, 0 in descending order. 3, 0, d Let i(x) = -x**3 + 8*x**2 + 8*x + 9. Let b be i(9). Let l be (-3)/(-3) + 3 + -1. Let c = 0 + l. Sort -5, b, c. -5, b, c Let l(v) = -v**3 - v**2 - 4*v - 3. Let i be l(-3). Suppose -i = -3*d - 4*f + 8, -3*f + 10 = -d. Let p = -6.3 + 5. Put 0, d, p in descending order. d, 0, p Let h(y) = y**3 + 3*y**2 - 5*y - 4. Let c be h(-4). Let z = -5 - -4. Put c, -5, z in decreasing order. c, z, -5 Let s = 0.0209 - 0.3209. Sort 1, 10, s, 4. s, 1, 4, 10 Let i(d) = 15*d**2 - d - 1. Let m be i(-1). Let l = 77/5 - m. Let k = -35.45 + 34.85. Sort l, k, 0.5 in increasing order. k, l, 0.5 Let y be 10/(-4) + 234/12. Suppose y*i - 23*i - 30 = 0. Sort i, -4/5, 0, -1 in descending order. 0, -4/5, -1, i Suppose -3*r - 5*j = -4, -2*r + 2 = j - 10. Let u(t) = t - 10. Let c be u(r). Sort c, 0.1, 3. c, 0.1, 3 Let w(o) = -2*o**2 - 59*o - 250. Let t be w(-5). Sort -3, 2, t, 12 in descending order. 12, 2, -3, t Let z = 16.82 + 0.18. Let t = z - 9. Let d be ((-6)/10)/(3/2). Sort t, d, 2/9. d, 2/9, t Let i(v) = v**3 + 12*v**2 + 35*v - 6. Let k be i(-6). Let j = 21 - 21.9. Let d = -0.5 - j. Sort -5, k, d in descending order. d, k, -5 Let d(s) = -3*s**2 + 26*s + 16. Let p be d(9). Let z be (50/4)/5*2. Put 2, 1, z, p in increasing order. 1, 2, z, p Let o(r) = 2*r**2 - r - 1. Let t be o(4). Suppose 28*g - t*g - 6 = 0. Sort g, 3, 4/3 in decreasing order. g, 3, 4/3 Let c = -92 - -81. Put 1, -5, -2, c in descending order. 1, -2, -5, c Let x = -335 - -331. Put -5, x, 23 in increasing order. -5, x, 23 Let p be (-21)/(-18)*4/21. Suppose 0 = -3*l - 4*r - 14, -27 = -0*l + 5*l + 3*r. Let i be (6/22)/(9/l). Put p, -3, i in decreasing order. p, i, -3 Suppose -2*c + 3*s = 17, -4*c + s + 2*s = 25. Let y be (2 - 3)/(1/c). Suppose -3*r + y*k + 24 = 0, 5*r - k + 5*k = 40. Put 5, r, -1 in ascending order. -1, 5, r Suppose 19*x - 24 = 11*x. Sort -8, 2, 0, x in decreasing order. x, 2, 0, -8 Let y(z) = -z**3 + 6*z**2 + 6*z + 13. Let x be y(6). Let t = x - 44. Put -1, -5, 2, t in increasing order. -5, -1, 2, t Suppose 2*p - 5 = -5*j, -11*p = -2*j - 7*p - 22. Sort 18, 1, 2, j. j, 1, 2, 18 Suppose 0 = -4*w + 20*l - 19*l + 12, 0 = w - 2*l + 4. Let j = -0.1 + 0.3. Let g = j - 0.1. Sort -2/23, w, g in increasing order. -2/23, g, w Let g = -815 - -812. Suppose a + 18 = 5*j - a, -3*a = -5*j + 17. Suppose -4*b + 2*b = -3*p + 15, 2*b + 20 = j*p. Sort -4, g, b in decreasing order. b, g, -4 Let l = 6 - 7.4. Let q = -0.9 - l. Let k be (2 + -1)/(5 - -1). Sort q, -6, k in increasing order. -6, k, q Suppose -2*d + 3*d = -4. Suppose 0 = -3*c - 2*p - 21, 4*c - 3*p + 23 = -4*p. Suppose -3 = 4*l - 7. Put c, d, l in decreasing order. l, d, c Let s = 16 + -46. Let g = 34 + s. Put g, -5, -2 in ascending order. -5, -2, g Suppose -3*z = 4*q - 3*q + 4, 2*q = -z - 3. Let c(o) = -o**3 + 15*o**2 + 15*o + 21. Let g be c(16). Sort z, 3, g in ascending order. z, 3, g Let f(y) = -3*y - 2. Let p be 2/7 - (-1)/(35/(-10)). Let s be f(p). Put s, 0, -1 in descending order. 0, -1, s Suppose -i - i + 3*c - 8 = 0, -i = -c + 3. Sort 5, i, 0 in descending order. 5, 0, i Let g = 13.06 + -0.06. Let k = g + -10. Sort k, -1, -2 in ascending order. -2, -1, k Suppose 28*f - 32*f = 4*w - 8, -4*f = 4. Put 0, w, -6, -3 in ascending order. -6, -3, 0, w Let n = 745.7 - 747. Sort -0.3, n, -0.5, 2 in descending order. 2, -0.3, -0.5, n Let k = -1.1 - -1. Let c = -37.25 + 35. Let q = -0.25 - c. Put k, q, 1 in descending order. q, 1, k Let f = -143 - -147. Suppose 0 = 2*g - n + 7, 0*n + f = g - 2*n. Sort 4, -5, 5, g in ascending order. g, -5, 4, 5 Suppose -434*n + 451*n - 68 = 0. Let z = -2 - -5. Sort -7/4, n, z. -7/4, z, n Let u = 353/9 + -39. Put 0, u, -1.2, 4/5 in descending order. 4/5, u, 0, -1.2 Let r = -18 + 2. Let z = r - -20. Suppose -z = -2*q - 0. Put 5, q, 4 in decreasing order. 5, 4, q Suppose -32 = -25*f + 17*f. Sort -3, -2, 7, f in decreasing order. 7, f, -2, -3 Suppose -11 = 3*b + 4*r, -2*b - 4*r + 3 - 17 = 0. Let a be 2/(3 - (3 + (b - 12))). Sort 0.1, a, -0.04 in ascending order. -0.04, 0.1, a Let t be ((-12)/(-15))/(2/5). Let i = t - 7. Let a be (-1)/(-2*1/10). Sort -1, i, a in descending order. a, -1, i Let p be ((-13)/3 - -4)*15. Sort p, -9, 2. -9, p, 2 Suppose -12*p - 6*p = -54. Sort p, -4, -2, 10 in descending order. 10, p, -2, -4 Let u(b) = b**3 - 3*b**2 + 3*b - 1. Let h be u(2). Suppose 38 = 5*z - r + 285, -3*r - 109 = 2*z. Let n = 55 + z. Sort n, -2, h in descending order. n, h, -2 Let h be 2/(-6) - (-50)/15. Let n = 6 - 5. Sort h, n, -1 in decreasing order. h, n, -1 Let z = 4.0296 + -0.0296. Sort -2/35, z, 0.1 in ascending order. -2/35, 0.1, z Suppose -15 = 113*i - 108*i. Sort i, -4, 7 in decreasing order. 7, i, -4 Let p = -112/117 - -10/9. Put p, 30, -1 in decreasing order. 30, p, -1 Let l = 1.07 + -1.37. Let s = 1 - 8. Sort s, l, -0.5 in ascending order. s, -0.5, l Let z = 4.255 + 0.745. Sort z, -1/6, 1/3, 0.4 in ascending order. -1/6, 1/3, 0.4, z Suppose 3*p - 2*z = -7*z + 25, -4*p - 5*z + 25 = 0. Let j(q) = -q - 2. Let w be j(-1). Let r = w - 1. Sort r, p, 3 in increasing order. r, p, 3 Let p = -1.23 + 0.39. Let f = 0.16 - p. Put f, 4, 5 in decreasing order. 5, 4, f Let d = -14 + 13. Let s be 6/(-4)*(-96)/(-36). Let f be ((-1)/3)/(s/(-36)). Sort f, -6, d in decreasing order. d, f, -6 Let o = 621 - 616. Sort 124, o, 0 in descending order. 124, o, 0 Let l = -22.95 + -0.05. Let g = 31 - 36. Put 0, l, g in increasing order. l, g, 0 Suppose 0 = 6*g - 5*g - 11. Suppose o = z + 3, 0 = -2*o - 4*z + g + 1. Suppose 0 = -8*p + o*p. Sort -2/7, -4, p. -4, -2/7, p Let w be (12/(-9) + (-1)/(-1))*-15. Let h(g) = 2*g**2. Let n be h(-1). Sort w, 1, 4, n. 1, n, 4, w Let j = -53 - -229. Let r = j + -1234/7. Let q be (-1)/(5*-1) - 0. Put r, 5, q in ascending order. r, q, 5 Let h = 3 + 0. Suppose 2*f - h = 1. Let a = -6 - -10. Sort a, f, -3 in increasing order. -3, f, a Let d = 5711/7 + -816. Sort 53, 1, d, -1/6 in descending order. 53, 1, d, -1/6 Let v(t) = -t**2 - 2*t + 13. Let o be v(-4). Let n(z) = 2*z**2 - 6*z + 4. Let j be n(5). Sort -5, o, j, 1. -5, 1, o, j Let h = -2003 - -2002.5. Let p = -485 + 7763/16. Let d = 0.3 - -2.7. Sort p, h, d in descending order. d, p, h Let l be 2/(-9) - 60/(-27). Let x be (-15)/(-300) - l/8. Put -4, x, 1 in increasing order. -4, x, 1 Suppose 3197*c - 3207*c + 10 = 0. Suppose 0*f = -5*f + 15. Let z be f/(-2 - (-22)/8). Sort z, c, 9. c, z, 9 Let m = 10 + -7. Let y be (-2)/(-4)*2*m. Suppose -y*x - 20 = -5. Put 4, x, 0 in decreasing order. 4, 0, x Let z(g) = 5 - 4 + 6 + 7*g - 2*g - g**2. Suppose -q = 5*q - 36. Let x be z(q). Sort x, 2, 5. x, 2, 5 Let q = 471.2 + -471. Sort 0.4, q, 2, 7 in ascending order. q, 0.4, 2, 7 Let a = -2 + 2. Let n(c) be the first derivative of c**2/2 - 9*c - 19. Let p be n(14). Put a, -0.04, p in decreasing order. p, a, -0.04 Let f = 856.9 + -857. Put 24, -0.4, f, -3 in descending order. 24, f, -0.4, -3 Let t(s) = -s**3 + 4*s**2 + 2*s - 6. Let l = 33 - 29. Let i be t(l). Let x = 15 + -10. Sort x, 6, i. i, x, 6 Let l be (-24)/14 - -1*2. Let r = 0.01 + 3.59. Let q = r + -1.6. Sort 2/15, l, q in descending order. q, l, 2/15 Let d = -20716/5 - -1740569/420. Let x = -9/28 - d. Sort 1/12, 1/7, x in descending order. 1/7, 1/12, x Let c be ((-15)/(-12))/((-3)/(-48)). Let h be 1/(-5) - (-14)/c. Let d = -0.8 - 4.2. Sort d, 2/15, h in descending order. h, 2/15, d Suppose 10 = w + w + 2*a, 15 = -3*w + 3*a. Suppose -u + k = 1, u - 9 = -w*k - k. Put -11, u, -2 in decreasing order. u, -2, -11 Let f = 90 - -9. Let w = -95 + f. Let h = 2.01 + -0.01. Sort 3/4, h, w in descending order. w, h, 3/4 Let p = 0.103 - 29.103. Put p, -0.1, 0.2 in descending order. 0.2, -0.1, p Let l = -18 + 23. Let v(m) = 4*m**3 + l - 1 - 3. Let a be v(1). Sort -1, a, -4 in increasing order. -4, -1, a Let
{ "pile_set_name": "DM Mathematics" }
h is the biggest value? (a) -1 (b) -17.3 (c) 0.3 c What is the smallest value in 1/5, 0.05, 76, -0.1, -1? -1 What is the biggest value in -81, -0.1, 4? 4 What is the fourth smallest value in 0, -7, -87, 2/11? 2/11 Which is the third biggest value? (a) 0.5 (b) 1 (c) -0.08 c Which is the fourth biggest value? (a) -2/5 (b) 1/5 (c) -5 (d) -120 d Which is the smallest value? (a) 1/5 (b) -5 (c) 1/8 b What is the fourth smallest value in 11/4, -0.2, -1, -2? 11/4 What is the smallest value in 0, -1.6, -0.2? -1.6 What is the smallest value in 6, 4, 0? 0 Which is the third biggest value? (a) 2/5 (b) -34 (c) 0 (d) -10 d Which is the second biggest value? (a) 1.6 (b) 3/2 (c) -87 b What is the fifth biggest value in -5, 0.06, -2, -3, 0.6? -5 Which is the fifth smallest value? (a) 1/20 (b) 2 (c) 23 (d) -1 (e) -3 c What is the second smallest value in -237, 1, -1/5, -0.4? -0.4 Which is the third smallest value? (a) -0.2 (b) -0.04 (c) -0.09 (d) -0.4 c Which is the fourth biggest value? (a) -1/7 (b) 1/3 (c) -2/13 (d) 1.4 (e) 5 a What is the third smallest value in 0, -4, -2, 1? 0 Which is the third biggest value? (a) 2/3 (b) -13 (c) -11 (d) -2/3 c What is the biggest value in -2/15, -13/2, 0, 4, 2? 4 Which is the smallest value? (a) -2/11 (b) -1 (c) 62 (d) 3 b What is the biggest value in -4/7, -4, 1/7? 1/7 What is the smallest value in -3, -5, 3715? -5 What is the third biggest value in 5, 421, -1/3? -1/3 What is the biggest value in 0.1, 50, 27, 2? 50 Which is the second biggest value? (a) 1 (b) 0.3 (c) 10 (d) -26 (e) -0.1 a What is the second biggest value in -3, -4, -10? -4 Which is the biggest value? (a) -0.3 (b) 5 (c) 0 (d) 1/50 b What is the second smallest value in -0.4, -2/7, -1, 2/13? -0.4 Which is the fourth biggest value? (a) -4/3 (b) -1 (c) 2 (d) 5 (e) -0.1 b What is the smallest value in -4, 0.2, -5, 3? -5 What is the smallest value in -0.3, 0.0603, -1? -1 Which is the third biggest value? (a) -13 (b) 0 (c) 1.1 a Which is the smallest value? (a) 1 (b) -0.2 (c) 3/5 (d) -4 d What is the biggest value in -0.5, 2.9, 2/359? 2.9 Which is the third smallest value? (a) -1 (b) -2/11 (c) -134 (d) 4 b What is the second smallest value in -2/105, 0, -4, -5? -4 What is the second biggest value in -43, -8.7, -1? -8.7 Which is the second biggest value? (a) -31 (b) -4 (c) -5 (d) 0.5 b What is the smallest value in -41, 3, 1.1? -41 Which is the third smallest value? (a) -11 (b) -0.09 (c) -4/7 (d) -2/5 (e) 1 d Which is the third biggest value? (a) 7 (b) 3/2 (c) -5 c What is the second smallest value in -0.2, -4, -295? -4 What is the third biggest value in 0.22, -3, 1/3, 3/5, -5? 0.22 Which is the biggest value? (a) -15 (b) 2/21 (c) -4/5 (d) -0.3 b Which is the third smallest value? (a) -0.1 (b) 164 (c) -2 b Which is the third smallest value? (a) 3 (b) -32 (c) -0.6 a What is the fourth biggest value in 9, 0.5, -10, 0? -10 What is the fourth smallest value in 0.9, -0.5, 4, 0.3? 4 What is the third smallest value in 32, 2, -1, -18? 2 Which is the fifth biggest value? (a) 1/3 (b) 2 (c) -0.4 (d) -4 (e) 7/3 d Which is the smallest value? (a) -2/251 (b) 5 (c) 10.6 a Which is the fourth biggest value? (a) -1/5 (b) -41 (c) 0 (d) -2/11 b What is the biggest value in -5, 1, 0, -2/17? 1 What is the smallest value in 2, 88, 0? 0 What is the third smallest value in 90, -1/2, 1, 3/5? 1 Which is the biggest value? (a) -1 (b) -5 (c) -10 a What is the second biggest value in 2/19, 4/5, -9? 2/19 Which is the third biggest value? (a) -1 (b) 0.1 (c) 3/5 (d) 0.4 b Which is the second biggest value? (a) 2/11 (b) 0.3 (c) -2 (d) -5 a What is the third smallest value in -3, 0.041, -28? 0.041 What is the third biggest value in -0.5, 3/4, 163? -0.5 Which is the biggest value? (a) 18 (b) 1 (c) 12 a Which is the fifth smallest value? (a) -0.06 (b) -1 (c) 1 (d) -0.6 (e) -2 c Which is the fourth smallest value? (a) 3/2 (b) -2 (c) -5 (d) -155 a What is the third smallest value in 0.04, -5/21, -3/13? 0.04 Which is the smallest value? (a) -0.3 (b) 3 (c) -0.12 (d) -4 d What is the second smallest value in -2/3, 1/4, -0.42? -0.42 What is the third biggest value in -0.9, 0.3, 0, 17? 0 What is the third smallest value in 3/11, 2, 7? 7 Which is the second smallest value? (a) -7/4 (b) -2/11 (c) 26 (d) 5 (e) -2 a What is the biggest value in -4, -60, 0.14? 0.14 Which is the biggest value? (a) 1 (b) -58 (c) 0.3 a What is the second biggest value in -5, 81, -0.3? -0.3 Which is the fifth smallest value? (a) 1 (b) -0.3 (c) -6/5 (d) -1 (e) 1.8 e Which is the second smallest value? (a) 0.5 (b) -2/11 (c) 155 (d) -1 b Which is the biggest value? (a) -2 (b) -1/17 (c) -12 b Which is the second biggest value? (a) -28 (b) -0.1 (c) 1.4 (d) -4 b Which is the second smallest value? (a) -7 (b) -2/1825 (c) 0.3 b Which is the smallest value? (a) -49 (b) 0.5 (c) 1 (d) -2 a What is the second biggest value in 5, 0.39, 0.3? 0.39 Which is the third smallest value? (a) 0.2 (b) -0.9 (c) 4 (d) -2/13 a What is the fourth smallest value in -681, 5, 2/3, 1? 5 Which is the biggest value? (a) -1/62 (b) 4/5 (c) 4 c Which is the second smallest value? (a) -0.4 (b) 172 (c) -0.06 (d) -4 a Which is the fifth biggest value? (a) 2 (b) -36 (c) -2 (d) 4/3 (e) -0.01 b Which is the third smallest value? (a) -3/2 (b) 5 (c) -343 b Which is the second smallest value? (a) -0.5 (b) 19/5 (c) -0.018 c What is the second biggest value in -3, 77, 3? 3 What is the third biggest value in -10, -5, -0.5, -2/9? -5 Which is the third smallest value? (a) -19 (b) -5 (c) -486 b What is the second smallest value in 0.01, 32, -2? 0.01 What is the fourth biggest value in -3/8, 5, 16, -1? -1 What is the second biggest value in 1/4, -61/2, -2/9? -2/9 What is the smallest value in 2.7, -2, -1/3, -0.4? -2 Which is the biggest value? (a) -1.74 (b) -0.3 (c) 1/4 c Which is the second smallest value? (a) -3 (b) 1 (c) 71 b What is the third biggest value in -3, -6, 2/5? -6 Which is the biggest value? (a) 2/5 (b) -2 (c) 5 c Which is the smallest value? (a) -0.027 (b) -0.1 (c) 4 b Which is the third biggest value? (a) -1/5 (b) -1/2 (c) 5 (d) -681/11 b What is the fifth biggest value in -0.0363, 2, 0.02, 0, 1? -0.0363 Which is the biggest value? (a) 3 (b) -10/17 (c) -10 a What is the third biggest value in 3, -2, 14? -2 What is the smallest value in -1.8, 0.01, 2, -0.18? -1.8 Which is the smallest value? (a) 1 (b) -0.4 (c) 12 b What is the biggest value in 0.58, 2/9, 3, -3? 3 What is the third biggest value in 0, 0.3, -9, -2, 1? 0 What is the second biggest value in -67/3, 11, -1/2? -1/2 What is the biggest value in -1390, 2/15, -1? 2/15 What is the third smallest value in 1, -5, -0.4, 0.07, -38? -0.4 What is the third biggest value in 2, -1/49, -1/4, -1/5, 8? -1/49 Which is the fourth biggest value? (a) -6 (b) 0 (c) 1 (d) -0.2 (e) 35 d What is the smallest value in 3/7, -0.5, -0.15, -1/5, 2/9? -0.5 Which is the third smallest value? (a) 0.5 (b) -78 (c) -1.1 a What is the third smallest value in -2/7, 30/11, -5? 30/11 Which is the smallest value? (a) -5 (b) 0.5 (c) -43.9 c Which is the second smallest value? (a) 2/7 (b) -7 (c) -2/3 (d) 0.3 (e) 0.31 c What is the smallest value in -2, 0.036, 1/4, -4? -4 Which is the third smallest value? (a) -18 (b) -3/5 (c) -13/21 b What is the smallest value in 1.8, 0.158, -1, 5, 4? -1 What is the smallest value in 0.2, -6, 0.3, 5/6? -6 What is the third smallest value in 3, 1/9, 1/5, 2? 2 What is the fifth smallest value in -118, -3, 0.2, -0.1, 0.4? 0.4 What is the smallest value in 131, 3, 0.2? 0.2 Which is the third smallest value? (a) 3 (b) -0.5 (c) 2 (d) -10 c What is the fourth biggest value in 3, -1/2, 0.1, 7/2, -2? -1/2 Which is the smallest value? (a) 5 (b) 1/12 (c) -1/4 (d) 1/3 (e) -2/29 c What is the biggest value in 0, 1/7, -451? 1/7 What is the biggest value in -147, -3/2, -1/5? -1/5 Which is the fourth biggest value? (a) 1/6 (b) -1.18 (c) -4 (d) 1 (e) -3 e Which is the second smallest value? (a) 0.085 (b) -13 (c) 1/3 a Which is the second smallest value? (a) 0 (b) -6/7 (c) -4 (d) -2
{ "pile_set_name": "DM Mathematics" }
n + 135. Let k(z) = 5*a(z) - 2*d(z). Determine w so that k(w) = 0. -1, 43 Let n(v) = 5*v**2 + 1426*v + 576. Let p(y) = -18*y**2 - 4276*y - 1728. Let t(m) = 16*n(m) + 5*p(m). Factor t(c). -2*(c - 144)*(5*c + 2) Let j(l) = -4*l**3 + 29*l**2 + 36*l + 6. Let a(x) = -20*x**3 + 148*x**2 + 184*x + 32. Let w(h) = 3*a(h) - 16*j(h). Let w(m) = 0. Calculate m. -1, 0, 6 Let s(g) = g**2 - 2. Let b(j) = 2*j**2 - 218*j + 112. Let u(p) = b(p) + 2*s(p). Determine o, given that u(o) = 0. 1/2, 54 Factor -7678/5*z - 2/5*z**3 - 3842/5*z**2 - 3838/5. -2*(z + 1)**2*(z + 1919)/5 Let h(p) = -49*p**2 - 1133*p + 5798. Let k(c) = -23*c**2 - 566*c + 2901. Let l(g) = 6*h(g) - 13*k(g). Solve l(y) = 0 for y. -117, 5 Let y(i) = -i**5 - 4*i**4 - i**2 + 2. Let s(x) = -99*x**5 + 91*x**4 + 515*x**3 + 458*x**2 + 127*x. Let t(f) = s(f) + 3*y(f). Let t(j) = 0. Calculate j. -1, -2/3, -1/2, -1/17, 3 Let v(i) be the second derivative of 0 + 7/3*i**3 - 15*i + 0*i**4 + 1/1260*i**6 + 1/210*i**5 + 0*i**2. Let s(p) be the second derivative of v(p). Factor s(z). 2*z*(z + 2)/7 Suppose -16*f + 14 = -2. Suppose -83*a + a**2 + 165*a - 2 - 84*a - f = 0. What is a? -1, 3 Let w be 360/150 - (-4 + 8)/(2 + 8). Solve -2/3*u**4 + 2*u - 2*u**3 + 0 + 2/3*u**w = 0. -3, -1, 0, 1 Suppose 6 = -5*j + 5*i - 9, j - 1 = -3*i. Let s be (-276)/(-506) - j/(-165)*12. Factor -36/5*u + s*u**2 + 162/5. 2*(u - 9)**2/5 Let v(c) be the first derivative of -1/6*c**2 - 51 - 2*c + 1/9*c**3. What is k in v(k) = 0? -2, 3 Let q be (-4 - (-6)/2)/(5/(-15)). Solve 30*o**2 + 16*o + o**2 - 75*o**2 + 8*o**q + 20 = 0. -1/2, 1, 5 Let x = 1121958 + -286097936/255. Let t = x + -62/15. Suppose -t - 10/17*g**2 - 54/17*g = 0. Calculate g. -5, -2/5 Factor 97/4*m - 1/4*m**2 - 1/4*m**3 + 385/4. -(m - 11)*(m + 5)*(m + 7)/4 Suppose -4118*i = 3*q - 4113*i - 165, -55 = -q - 4*i. Solve -10/3*z**2 + q*z + 85/3 = 0 for z. -1/2, 17 Let c = -7/117051 + 117079/468204. Factor -15/4*w**2 + c*w**3 + 0 + 9*w. w*(w - 12)*(w - 3)/4 Suppose -1600*p + 5360 = -2640. Factor -8*z + 14*z**2 + 0 + 1/2*z**p - 6*z**3 - 1/2*z**4. z*(z - 2)**2*(z - 1)*(z + 4)/2 Suppose -93*j = -117*j + 120. Let p be ((-104)/48 + 3)/j. Factor -8/3 - 4/3*r - p*r**2. -(r + 4)**2/6 Determine q so that -2/9*q + 2/9*q**3 - 12*q**2 + 12 = 0. -1, 1, 54 Factor 3/8*n**2 + 69/4*n + 387/8. 3*(n + 3)*(n + 43)/8 Factor 169*g**2 + 12*g**3 - 14*g**3 - 57*g**2 + 16*g - 49*g**2 - 61*g**2 - 24. -2*(g - 2)**2*(g + 3) Let f be 25/(-600)*21*(512/(-280) - (-10)/25). Suppose -f*d**5 + 5 + 10*d - 25/4*d**4 - 35/4*d**3 + 5/4*d**2 = 0. What is d? -2, -1, 1 Factor -16*c**4 - 4*c**5 + 132 - 62*c**2 - 10*c**2 - 24 - 595*c**3 + 491*c**3 + 108*c - 20*c**4. -4*(c - 1)*(c + 1)*(c + 3)**3 Let g be ((-21774)/(-30))/(5/(-2) + 3). Let x = g - 1451. Factor -x*u**3 - 12/5 + 12/5*u**2 + 3/5*u. -3*(u - 4)*(u - 1)*(u + 1)/5 Let q(c) be the second derivative of 3*c**5/20 - 49*c**4/2 + 1040*c**3 + 24336*c**2 + 4075*c. Solve q(t) = 0 for t. -6, 52 Suppose 3*s = 11 + 79. Suppose -28 + 12 = n - 5*x, 3*x = 12. Determine m, given that 4*m**4 + 100*m - n*m**3 - s*m - 4*m**2 - 32*m - 34*m = 0. -1, 0, 1 Find a, given that -1728/7 - 60/7*a**2 + 576/7*a + 2/7*a**3 = 0. 6, 12 Let k be (-5)/(-1) + 141 + -2. Let d = -99 + k. Suppose 90*y**4 + 35*y**3 + d*y - 2 + 2 - 95*y**4 - 75*y**2 = 0. Calculate y. 0, 1, 3 Suppose -2*n = -1 + 25. Let i be n/9 + 10/3. Determine f, given that 3*f**3 - 8*f**3 - f**i - 4*f**2 + 0*f**3 = 0. -1, 0 Let a(p) be the second derivative of 11*p**7/441 + 31*p**6/105 + 97*p**5/105 - p**4/7 - 205*p**3/63 - 25*p**2/7 + 2133*p. Determine w, given that a(w) = 0. -5, -3, -1, -5/11, 1 Let t be (0 - 4 - -1)/1 - -5. Let h = 9 - 5. Factor q**3 + t*q**4 + q**3 + 4*q**3 - 3*q**5 + q**h. -3*q**3*(q - 2)*(q + 1) Suppose -46*x - 6 = -48*x. Suppose x*o = -2*s + 7, 5*o - 5 = -5*s + 5. Let 0*h - 2/15*h**o + 0 - 4/15*h**2 + 2/5*h**4 = 0. What is h? -2/3, 0, 1 Let n(g) be the third derivative of -17*g**2 - 1/12*g**5 - 95/12*g**4 - 185/6*g**3 + 0 - 5*g. Factor n(l). -5*(l + 1)*(l + 37) Let z(o) be the first derivative of -5*o**6/3 - 256*o**5/5 + 327*o**4/2 - 500*o**3/3 + 56*o**2 - 3599. Find a, given that z(a) = 0. -28, 0, 2/5, 1 Solve 2/9*i + 1/9*i**4 + 4/9*i**3 + 0 + 5/9*i**2 = 0. -2, -1, 0 Let x(i) be the second derivative of i**4/138 + 73*i**3/23 + 10*i - 51. Suppose x(v) = 0. Calculate v. -219, 0 Suppose -3 + 17 = 7*d. Find a such that 4*a**4 + 234*a + 32*a**d + 15*a**3 + 5*a**3 - 218*a = 0. -2, -1, 0 Let c(n) be the first derivative of -n**5/10 - 53*n**4/16 - 75*n**3/2 - 1309*n**2/8 - 605*n/2 + 4647. Let c(x) = 0. Calculate x. -11, -5/2, -2 Let m(a) be the second derivative of a**5/140 + 11*a**4/84 - 76*a**3/21 - 7089*a. Find c, given that m(c) = 0. -19, 0, 8 Let z(n) = -n**2 - 47*n + 1431. Let c be z(-68). Factor 2/9*g - 2/9*g**c + 4/9 - 4/9*g**2. -2*(g - 1)*(g + 1)*(g + 2)/9 Factor -770/3*o + 1160/3*o**2 + 64 - 260*o**3 + 200/3*o**4 - 2/3*o**5. -2*(o - 96)*(o - 1)**4/3 Let n(w) be the second derivative of -w**6/75 - w**5/5 + 23*w**4/6 - 16*w**3/3 - 204*w**2/5 + 2*w - 169. Suppose n(y) = 0. What is y? -17, -1, 2, 6 Let n be 5/40*74*4. Suppose 4*y + 5 = n. Factor 3 - y - p**2 + 3*p**2 + 3*p**2 + 20*p**3 - 20*p. 5*(p - 1)*(p + 1)*(4*p + 1) Let h(i) be the second derivative of -2*i**7/315 - i**6/75 + 2*i**5/25 + 7*i**4/90 - 2*i**3/15 - 80*i + 9. Suppose h(o) = 0. Calculate o. -3, -1, 0, 1/2, 2 Let w = -449 - -447. Let c(o) = 3*o**3 + 38*o**2 - 129*o + 98. Let z(h) = -21*h**3 - 267*h**2 + 903*h - 690. Let x(r) = w*z(r) - 15*c(r). Factor x(n). -3*(n - 2)*(n - 1)*(n + 15) Let a(c) be the third derivative of -c**6/300 + 37*c**5/150 - 104*c**4/15 + 256*c**3/3 + 76*c**2 - 6*c. Factor a(o). -2*(o - 16)**2*(o - 5)/5 Let c(r) = -2*r**3 - 63*r**2 - 28*r + 95. Let k be c(-31). Let b(x) = 56*x**2 - 46*x. Let g(v) = 2*v**3 + 2*v**2 + v. Let d(l) = k*g(l) - b(l). Factor d(p). 4*p*(p - 12)*(p - 1) Let j(s) = -s**4 + 8*s**3 + 17*s**2 + 6*s. Let i = -76 + 74. Let y(n) = -n**3 - n**2 + n. Let d(a) = i*y(a) - j(a). Suppose d(h) = 0. What is h? -1, 0, 8 Suppose 4*d - 6 = 14. Let g be 52/(-130) + (-124)/(-10) + -1. Determine j, given that d*j**5 - 13*j**4 + g*j**4 + 29*j**4 + 40*j**3 + 20*j**2 - 2*j**4 = 0. -2, -1, 0 Suppose 5*b = -5*l + 140, 19 = -4*l + 4*b + 99. Find i, given that 562 - 12*i**2 + 16*i**2 - l*i + 222 + 136*i = 0. -14 Suppose -151*w + 154*w = 162. Factor 4*u**3 - 225 - w*u**3 + 1548*u**2 + 5*u**4 - 1408*u**2 - 28*u - 2*u. 5*(u - 5)*(u - 3)**2*(u + 1) Find k such that 0*k + 1/5*k**2 + 17/10*k**4 + 19/10*k**3 + 0 = 0. -1, -2/17, 0 Let q = -201779/780 + 139/156. Let v = q + 261. Solve -32/5*r + 16/5 - 108/5*r**2 - 76/5*r**3 - v*r**4 = 0 for r. -2, -1, 1/4 Suppose 9*k = -4*k + 858. Let z be (-6)/k*-2 + 97/11. Factor -z*r**3 + 2 + 14*r**3 - 2. 5*r**3 Let s = -370397/4 + 92600. Find x such that -s*x**3 - 1/4*x**2 - 1/4*x**5 - 3/4*x**4 + 0 + 0*x = 0. -1, 0 Let p(c) be the second derivative of 0*c**2 - 1/30*c**6 + 226*c + 0*c**4 + 3/4*c**5 + 0 + 0*c**3. Determine x so that p(x) = 0. 0, 15 Let m be (-2)/((-18)/5) + (-52)/(-117). Let a(x) = 4*x**2 - 7*x - 6. Let q(w) = 2*w**2 - w + 2. Let j(z) = m*q(z) - a(z). Find y, given that j(y) = 0. -1, 4 Factor -15*l**5 + 6594*l**4 - 90363*l**2 - 200037*l**2 - 778796*l**3 + 55436*l**3 - 53*l + 53*l. -3*l**2*(l - 220)**2*(5*l + 2) Let f(l) be the third derivative of l**6/60 - l**5/6 - 25*l**4/6 - 139*l**2 - 2*l. Determine g so that f(g) = 0. -5, 0, 10 Let i(z) = z**2 + 19*z + 73. Let r be i(-14). Let j(k) be the first derivative of -7 + 2/3*k**r + k**2 - 4*k. Suppose j(n) = 0. What is n? -2, 1 Factor 63 + 496*j + 92 + 100 + 164 + 4*j**3 + 253 + 88*j**2. 4*(j + 2)*(j + 6)*(j + 14) Let q = 882 + -879. Find x, given that 49 + 451 - 6*x**q + 105*x**2 + 600*x + 9*x**3 + 2*x**3 = 0. -10, -1 Solve -109*i - 3*i**3 + 11*i**2 + 240 - i**3 - 11*i**2 + 285*i + 20*i**2 = 0 for i. -3, -2, 10 Let b(t) be the second derivative of -2/15*t**4 - 1/30*t**3 - 4*t + 1/100*t**5 + 4/5*t**2 - 3. Factor b(a). (a - 8)*(a - 1)*(a + 1)/5 Let f(s) be the second derivative of 0*s**2 + 7/45*s**7 + 3/25*s**5 - 119/225*s**6 + 8/45*s**3 - 36*s + 0 + 22/45*s**4. Suppose f(g) = 0. Calculate g. -2/7, 0, 1, 2 Suppose 5*d = -5, -5 = 3*g - 2*d + 11. Let h be 8/(-48) - g/4. Let 4/3 - h*i**2 - 2*i = 0. Calculate i. -2, 1/2 Let x(f) be the second de
{ "pile_set_name": "DM Mathematics" }
e -8*u = -u + 483. Let s = u + -12. Let o = -66 - s. Solve 0*m + o = -5*m for m. -3 Let w(j) = 94 - 41*j**2 + 12*j**2 + 5*j - 90. Let o be w(-1). Let r = o - -33. Solve 5 = -2*z - r*z for z. -1 Let t be 102/30 - (2 - 24/15). Let i(l) = 3*l + 2*l - 5 - t*l**2 - 2*l**2 + l**2 + 2*l**3. Let g be i(2). Solve -4 = -g*x + x for x. 1 Let w(j) = -j**3 + 28*j**2 + 161*j + 132. Let x be w(33). Solve x = 6*r - 8 - 10 for r. 3 Suppose 4*q - 12*v + 37 - 121 = 0, -4*v - 28 = 0. Solve q = -32*r - 234 + 10 for r. -7 Let f be -4 + 272/80 + (-116)/(-10). Solve f*h - 21 = -10 for h. 1 Let m(j) = -3*j + 25 + 16 + 7 + 4*j. Let h be m(-44). Solve 5*r - h = 1 for r. 1 Let b = -15 + -7. Let f be 14*(-24)/(-33) - (-4)/b. Suppose -f*z = -21*z + 33. Solve -l = z + 2 for l. -5 Let y be (222/259)/(3/70). Solve 0 = -2*j - y + 12 for j. -4 Suppose -3*l + 5*t = 7*t - 575, -7*t + 160 = l. Solve 25*n - l = -14*n for n. 5 Let y be ((-3)/6)/((-1)/6). Suppose -y*p + 11 = -13. Suppose 130 = -27*m + 454. Solve 4*t - p*t + m = 0 for t. 3 Let z(o) = o**2 - 58*o - 583. Let r be z(67). Solve 17*h - r = 27*h for h. -2 Suppose 298*j + 89*j = 154413. Solve -c + 58*c = -j for c. -7 Let b(d) = 4*d - 1. Let h be b(3). Let l(r) = -2*r**3 - 4*r**2 - 8*r - 6. Let a be l(-2). Solve 16*g - h*g = -a for g. -2 Let k = 1470 - 1442. Solve -k*r + 34*r = 6 for r. 1 Suppose 0 = -28*j + 24 + 21 + 39. Solve 0 = -11*t + 14 - j for t. 1 Let n be ((-39)/2)/(4/((-96)/(-18))). Let h = 23 + n. Let j be (6/h - -8) + -2. Solve 0 = -7*d + j*d + 12 for d. 4 Let n = -143 + 445. Let s = -299 + n. Suppose 3*z - 10 = -4. Solve -s - z = 5*o for o. -1 Suppose 3*q - 2849 = d, 3*q + 311*d - 316*d = 2869. Solve -898 + q = 10*g for g. 5 Let y be (28/8)/(4/(-24)*-3). Solve 4*r = y*r - 12 for r. 4 Let x(u) = -4*u + 13. Let l(k) = -10*k + 38. Let h(r) = 5*l(r) - 14*x(r). Let q be h(3). Solve -2*t = -34 + q for t. 4 Suppose -5*j + 97 + 193 = 0. Suppose 53*g - j*g = -30. Let b(v) = 7*v. Let m be b(1). Solve 4 = g*y - m*y for y. -4 Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a. -4 Let b(x) = -2*x. Let u be b(0). Let w(p) = p**2 - 2. Let n be w(2). Let g = 2 + n. Solve -2*f + u*f = g for f. -2 Let y(w) = -w**2 + 96*w - 1084. Let s be y(14). Solve s*d = 53*d + 33 for d. 3 Suppose 8016 + 5424 = 160*r. Solve r = -14*t - 0 for t. -6 Let j = 74 - 70. Let o = -33 - -48. Suppose b + o = j*b. Solve 3*w + b = -2*w for w. -1 Suppose -v + 37 = -3*x + x, 5*x - 20 = 0. Let y = 57 - v. Suppose -175*w = -178*w + y. Solve w*q = 6 - 2 for q. 1 Let n be 4/(((-4)/9)/2). Let w be (104/(-6))/(n/27). Suppose 0*f + w = 2*f + 5*c, 3*f - 5*c = 14. Solve 7*a - f = 9*a for a. -4 Let u be 1/(261/(-938) - 30/(-105)). Solve 0 = -u*s + 118*s + 144 for s. 9 Let c(q) = -q**2 - 7*q - 9. Let a be c(-5). Suppose 4*p - h = 35, 2*p + 2*h - a = 9. Suppose -p*b - 9*b = -0*b. Solve 1 + b = -t for t. -1 Let x(t) = 536*t + 3788. Let g be x(-7). Solve 0 = 13*p - 4*p + g for p. -4 Suppose 323*y - 289*y - 1564 = 0. Solve 2*t + y = 36 for t. -5 Let v(z) = -z**3 + z - 2. Let c be v(-2). Let t = 2599 + -2595. Suppose -t*n + 26 = 2*w, c*n = -w - 4*w + 35. Solve l + 2 = w*l for l. 1 Let f be (1512/(-280))/(9/(-15)). Solve -f*p + 12 = -6*p for p. 4 Let j(y) = -9*y - 168. Let a be (-3 + 1)/((-10)/(-95)). Let q be j(a). Solve q*c + 5 - 20 = 0 for c. 5 Suppose -4*a + a = 3, 3*n + 65 = -2*a. Let c be 7/(n/12) + 2 + 2. Solve c = 5*i + 3 + 2 for i. -1 Let c = -19 + 23. Suppose d - 3*d + c = 0. Suppose 5*u - 2 = d*i, 0*i = 5*u + 4*i + 4. Solve 0 = -2*f + 4 - u for f. 2 Suppose -15*c + 18*c = -15. Let w be (c/(-2))/(40/32). Let a = -5 - -9. Solve -a*q - 6 = -w for q. -1 Suppose 7 - 25 = -2*m. Suppose -d = m*d - 30. Solve -16 = -d*y - y for y. 4 Let k be ((-310)/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i. -2 Let b(q) = q**2 - 11*q - 3566. Let o be b(-55). Solve 12*p + o = 4*p for p. -8 Suppose 321*c = 313*c + 48. Solve 0 = c*u - 12 - 30 for u. 7 Let a(k) = k**3 + 3*k**2 - 4*k - 2. Let r be a(-3). Let z be (105/7 - 8)/(-1 - -2). Suppose -20 = -z*v - 20. Solve v = 5*w - 0*w - r for w. 2 Suppose 29408 = 6*n + 29342. Solve n*c - 6 = 5 for c. 1 Suppose 25*y = 1123 + 3102 + 75. Solve -41*h - y = 2*h for h. -4 Let t be 45/(-5) - -7 - -4. Suppose 9 - 44 = -t*j + 5*i, -j - 5*i - 20 = 0. Solve j*p = 13 + 7 for p. 4 Let b(z) = -1012*z**2 + 6*z - 4*z - 4 + 1013*z**2. Let m be b(-4). Let n(j) = -j - 2. Let a be n(-4). Solve -m*f - 6 = -a*f for f. -3 Suppose -5*l + 95 = -108*n + 111*n, 3 = 3*l. Solve -23*d - n = -13*d for d. -3 Suppose -o = -5*s - 3*o + 13, -5*o = -20. Let d = 322 + -246. Suppose -j - 73 = -d. Solve s = j*z - 5 for z. 2 Let h(n) = -15 + 34 + 7 + 11*n + 17*n**2 - 7. Let r be h(-2). Solve r*m = 62*m + 12 for m. 4 Let s(z) = -7*z - 35. Let g be s(-5). Suppose 0 = n - w + 5, 2*w = 5*n - 2*w + 24. Let u be (-1)/((-44)/(-12) + n). Solve g*b - u*b = 3 for b. -1 Let i(d) = -15*d + 43. Let g be i(3). Let v be (g - 1)*(-7)/21. Solve 5*z - v - 24 = 0 for z. 5 Let q be ((-264)/45 + 2/(-15))/(-2). Let w(b) = 2*b**3 - 3*b**2 + 6*b - 5. Let g be w(3). Let a = 44 - g. Solve -a*p + 17 = -q for p. 5 Suppose 6*t = -3*t - 198. Let r = t + 20. Let h be (r + 1)/(1/(-2)). Solve -6*x + 16 = -h*x for x. 4 Let s(r) = -4*r - 2. Let w be s(-3). Suppose -j + w = -2*i - 0, 0 = i + 5. Solve 0 = -2*z - j*z - 8 for z. -4 Let x = -483 - -532. Suppose -2*c = -57 + x. Solve 3*o - 19 + c = 0 for o. 5 Suppose 7*a - 8*a + k - 3 = 0, -k = 5*a - 9. Let m be (-54 + 54)/(4 - a). Solve 4*r - 3*r + 5 = m for r. -5 Suppose -p + 4*s + 70 = 0, -22*p - 5*s - 346 = -26*p. Solve -64 = -10*w - p for w. -3 Let h(u) = -13*u + 407. Let m be h(18). Solve 176*b = m*b - 9 for b. -3 Let s be 7/3 + (-210)/(-45) - 2. Solve -27*n + 96 = s*n for n. 3 Let v be (((-64)/12)/4)/((-16)/60) - -9. Solve 23 = 3*o + v for o. 3 Let c be 70/(-15)*5/((-15)/9). Suppose x + 3*f = 7 + c, -2*x - 4*f + 36 = 0. Solve -8*p + 5*p - x = 0 for p. -4 Suppose 5*j - 39*o + 42*o - 116 = 0, -3*o = 2*j - 50. Solve -j = -105*q + 116*q for q. -2 Suppose -2*o + 4*a = 316, -3*o = -0*o - 5*a + 470. Let i = -148 - o. Solve 3 = -i*w - 7 for w. -5 Let b(s) = -s**3 + 24*s**2 + 6*s - 30. Let z be b(24). Let x be ((-120)/(-14))/(z/532). Solve -12*f = -2*f - x for f. 4 Suppose -2*f = 3*g + 34, -f - 6 = g + 9. Let q(l) = l**2 + 12*l + 1. Let z be q(f). Let d be (-16)/z + (-2)/(-5). Solve d + 3 = -v for v. -5 Let r(b) = 2*b**3 - 3*b - 115 - 2*b - b**3 + 4*b**2 + 117. Let a be r(-5). Suppose 34 = 8*l + 2*t, 28 = l - 18*t + 23*t. Solve -l*c = a*c for c. 0 Let x be -9 + (63 - 66)/((-2)/1738). Solve x*a - 9 = 2607*a for a. -1 Let s = -117 + 117. Let p = 154 + -154. Solve s*g - g - 5 = p for g. -5 Suppose -12*n + 7*n + 60 = 0. Suppose 14*x - n*x = 0. Suppose x = -5*c + 75. Solve -c = -5*q + 5 for q. 4 Let f be ((-16)/3)/(-4)*72/32. Let x be (9/f - 3)*2/6. Solve x*c = -5*c - 25 for c. -5 Let m(r) = -r**2 - 13*r - 13. Let k(v) = 6*v - 100. Let o be k(16). Let g be m(o). Solve -9*n - g = -5 for n. -2 Let y(w) = 15*w - 48. Let o(n) = -5*n + 16. Let q(s) = -8*o(s) - 3*y(s). Let i be q(-5). Let g = i + -29. Solve -4*h - g = -4 for h. -2 Let p = 73 - 71. Suppose -11 = 6*b - 4*b - 5*u, 0 = b - p*u + 4. Suppose 0 = -o - 1, -b*m + 5*o + 10 + 5 = 0. Solve m*z - 2 = 3*z for z. 1 Suppose -3*s - 1888 = -m - 7*s, 3*s - 6 = 0. Solve m*t = 1874*t + 18 for t. 3 Suppose -7 = 4*s + 5. Let g be ((-40)/15 - s)*12. Let n(b) = b - 4. Let y be n(g). Solve y = -j - 4*j + 15 for j. 3 Let v be (8/12)/1*18. Suppose 8*w - 44 = v. Solve -4*n - 1 - w = 0 for n. -2 Let p = 323 - 195. Let n = 131 - p. Let j(c) = c**3 - 10*c**2 - 10*c - 3. Let z be j(11). Solve -z = -n*l + 7 for l. 5 Suppose 35*c - 352 = 1643. Solve 0 = -2*i + c - 59 for i. -1 Let c be ((-120)/42 + 2)*(-112)/6. Solve -10*x = 6*x + c for x. -1 Suppose 0 = -14*y + 109*y. Solve y = 11*r + 3 + 30 for r. -3 Suppose 55*u - 63 = 48*u. Suppose n - 39 = u*w - 13*w, 3*w = 2*n + 21. Solve -w*o = -5*o - 12 for o. 3 Let s(z) be the second derivative of -12*z - 5/6*z**3 - 1/2*z**2 + 0. Let m be s(-1). Solve -m = -c + 5*c for c. -1 Let w = 159 - 142. Suppose -p = -w + 6. Solve -p - 9 = -5*l for l. 4 Suppose -2*f + 127 = v, -20*f - 130 = -22*f - 2*v. Solve f*m - 70 = 48*m for m. 5 Let q(
{ "pile_set_name": "DM Mathematics" }
- 2*n**3 - 2*n**4 - 5*n**2 + 6*n**2 to the form h + p*n + g*n**2 + m*n**3 + s*n**4 and give p. 2 Rearrange -154*i**4 + 2*i**2 + i**3 + 156*i**4 + 4 + 0*i**3 to the form r*i**2 + w + q*i + h*i**4 + u*i**3 and give r. 2 Express (1 - 1 - 2*z)*(2 + 1 - 2)*(5 - 4 - 2) - z - 3*z + z in the form n + i*z and give i. -1 Express 73*p - 73*p + 10*p**2 + (2*p + 0*p + 0*p)*(13*p - 17*p + 6*p) + 2*p**2 + 3*p**2 - 7*p**2 - 3*p**2 - 3*p**2 + 7*p**2 as h + g*p**2 + y*p and give g. 13 Express (6 - 4 + 3)*(3*f - 3*f + 2*f) + (2*f - 13*f + 2*f)*(1 + 1 - 4) in the form c + m*f and give m. 28 Express (0*r + 7*r - 3*r)*(11*r - 5*r + 8*r) as s*r**2 + b + g*r and give s. 56 Express (-2*g + 4*g + 2*g + (3*g + 2*g - 3*g)*(5 - 1 - 5) - 3*g + 2*g + 4*g)*((1 + 0 - 3)*(-3 - 3 + 4) + 1 + 1 - 3)*(-3 + 5 - 1) in the form p + o*g and give p. 0 Rearrange i - 8*i - 11*i to s + g*i and give s. 0 Rearrange -4*k - 10 + 10 + 8*k to r + w*k and give w. 4 Rearrange (-3*h + 3*h - 2*h)*(35 + 51 - 29) to r + z*h and give z. -114 Rearrange (-4*f**2 + 2*f**2 + 4*f**2)*(-2 + 2 + 1) + 5 - 5 + 17*f**2 to y + s*f + g*f**2 and give g. 19 Express (2 - 32 + 0)*(2*b - 6*b + b) in the form p*b + f and give p. 90 Express 0*j**2 + 2 + j**3 + 3*j - 2*j**2 - 2*j**3 - 2*j as a*j**3 + q*j + i + v*j**2 and give v. -2 Rearrange 12*a - 2082*a**3 - 2*a + 2076*a**3 to s + f*a**2 + c*a**3 + j*a and give c. -6 Express 4*g**4 - 2*g**2 - 1 + 9*g - 2*g**3 - 10*g + 0*g**2 in the form h + p*g**4 + q*g**3 + f*g**2 + u*g and give f. -2 Express -2*q**2 + 1 + 4*q - 3 + 4*q**2 + 0*q**2 as s*q**2 + v*q + o and give v. 4 Rearrange 55*h - h**3 + h**3 + h**3 + 4 + 4*h**4 - 54*h to the form f*h**4 + y*h + j + w*h**2 + m*h**3 and give y. 1 Rearrange -m - 9*m - 2*m**2 + 5*m**2 to the form v*m**2 + u + i*m and give i. -10 Express ((-3*h - h + 2*h)*(4 - 1 - 1) + 0*h + 2*h - 4*h)*(-27 + 18 + 27)*(0 - 1 + 3)*(0 - 1 - 1) as q*h + u and give q. 432 Express (-2 + 7 - 3)*(-2*q - 2 + 2*q - q)*(44*q - 26*q - 24*q) in the form j + a*q + m*q**2 and give m. 12 Express -u**4 - 2*u - u**3 - u**3 + 0*u + 3*u + 2*u**2 in the form a*u + i + j*u**2 + g*u**3 + l*u**4 and give j. 2 Rearrange 0*n**2 + 23*n**3 - 24*n**3 - 4*n**2 to the form z*n**2 + q*n**3 + w*n + b and give w. 0 Express -1 - 3*j + j - 15*j in the form v + i*j and give i. -17 Express -61 + 9*v**2 + 61 in the form n*v**2 + s + f*v and give n. 9 Rearrange -4*n + 5*n + 1 - 2*n + 4*n to the form j*n + p and give p. 1 Rearrange (9*j - 28*j - 22*j)*(0*j**3 - 2*j**3 + j**3) to z*j + s + r*j**4 + n*j**3 + u*j**2 and give n. 0 Rearrange (-105 + 37*i + 105)*(-3 - 4 + 5) to f + m*i and give m. -74 Express (-5 + 4 - 1)*(-1 + 1 + m) + (2361 + 11*m - 2361)*(1 - 1 + 2) as n*m + j and give n. 20 Rearrange 3 - 1 - 14*j - 3 + 2 to s*j + q and give q. 1 Express -2*m**2 - 86 + 43 - m + 41 + m**3 + 3*m**4 in the form y + s*m**4 + v*m**2 + n*m**3 + c*m and give y. -2 Express -3*x - 4 - x - 81*x**3 + 79*x**3 + (-6*x**3 + 5*x**3 + 3*x**3)*(-5 - 3 + 5) as p*x**2 + r + m*x**3 + l*x and give m. -8 Express 2*f - 3*f + 3*f + (-1 + 2 - 3)*(-4*f + 2*f + 4*f) - 351 + 351 + 19*f - 3*f + 2*f + 2*f + (-1 + 1 - 1)*(-3*f - f + 2*f) in the form v*f + l and give v. 20 Rearrange -3*g + 2*g**2 - g**3 - 6*g**3 + 10*g**3 to the form r*g**3 + h*g + q*g**2 + j and give r. 3 Express (-2*z - 4*z + 5*z)*(2*z - 2*z + z) + 214 + 0*z**2 - 214 - 159*z**2 as n*z**2 + h + d*z and give n. -160 Rearrange 3*i**4 + 3*i - 7*i - 15*i**4 - 1 + 10*i**4 to the form q*i**2 + r + s*i + m*i**4 + c*i**3 and give c. 0 Rearrange (2 - r - 2)*(3 - 3 - 6) to the form i + b*r and give b. 6 Rearrange -5*l**3 - 2*l + 33 - 33 - 2*l to k*l**3 + d*l + o*l**2 + p and give k. -5 Express 9*x + 10*x - 2*x**2 - 2*x + (-2*x + 2*x - x)*(3*x - 4*x + 3*x) in the form y*x + o + s*x**2 and give s. -4 Rearrange -3*r - 7 + 4*r + r to f + l*r and give l. 2 Rearrange l**2 - 4*l**2 - 3*l**2 + (2*l + 0*l + l)*(-3*l - 3*l + 5*l) to the form w + c*l + a*l**2 and give a. -9 Express 4*c**2 - c**2 - c**2 - 14 + 3 in the form l*c + f*c**2 + x and give x. -11 Rearrange (-3 + 2 + 0)*((3 + 1 - 2)*(-3*c + 3*c - c) - 2*c + 3*c + 0*c) to x*c + j and give x. 1 Express -2*z**4 - 3*z + 4*z**4 + 3 + z - 2 - 5*z**2 in the form q + b*z**4 + d*z + r*z**3 + m*z**2 and give m. -5 Rearrange -41*q**2 - 29*q**2 + q**2 + 0*q**2 to the form y*q**2 + i + z*q and give z. 0 Rearrange -6*z + 237 - 237 to the form m + o*z and give m. 0 Rearrange -1 - 6*z**2 - 176*z**3 + 3*z**2 + 175*z**3 + (-1 - 3 + 2)*(0*z**3 + 2*z**3 - 5*z**3) to m*z**3 + d*z**2 + a + v*z and give a. -1 Express -6*s**4 + s**4 - 2*s**4 + (-1 + 1 + s)*(-2*s**3 + 7*s**3 - 2*s**3) in the form h*s**2 + d*s**4 + w*s + c + q*s**3 and give c. 0 Express -f**4 + f**3 - 3*f - 249*f**2 + 2*f - 1 + 248*f**2 as d*f + l*f**4 + i*f**2 + y*f**3 + t and give d. -1 Express (-2*p + 3*p + 0*p)*(0*p**3 + 2*p**3 - 4*p**3) + (-p + 6*p - 2*p)*(3*p**3 - 5*p**3 + 0*p**3) in the form s*p**2 + g*p**3 + n*p**4 + x*p + d and give d. 0 Express 10*h**2 + 8 - 2*h**2 - 7*h**2 as q + f*h**2 + s*h and give f. 1 Express -1 - 7*m + 1 - 23*m in the form g*m + u and give u. 0 Express 17*l - 86 + 86 as t + u*l and give u. 17 Rearrange (-2*z**3 - z**3 + 0*z**3)*(-3 + 1 + 5)*(1 + 2 - 2) to the form y*z + m*z**2 + n*z**3 + o and give y. 0 Rearrange 0*z**2 + 3 + 2*z**2 - 3 + 6 to f*z + g*z**2 + w and give w. 6 Rearrange (0 - 3*g + 0)*(3*g**3 + 25 - g**2 - 25) to s*g**4 + h*g + m*g**3 + w*g**2 + v and give s. -9 Express 2*x - 3*x**3 - x - x**3 - 6*x as j*x**2 + q + i*x + o*x**3 and give o. -4 Rearrange d**4 + 0*d**4 + 35 - 2*d**2 + 3*d - 2*d**3 - 2*d - 26 to the form r*d + z*d**2 + f*d**4 + l + v*d**3 and give l. 9 Rearrange (-128*s + 103*s**2 + 128*s)*(-1 - 2 + 2)*(4 - 1 - 1) to the form g*s**2 + y*s + q and give g. -206 Express -4*o - 13*o**2 + 8*o - 2*o as s*o + j*o**2 + x and give j. -13 Rearrange -6*v**2 + 3 + 0 + 0 to m*v + i*v**2 + d and give d. 3 Express (9 - 5 + 1)*(-1 + 1 - 3*x) - 5*x + 3*x - 2 + 4*x in the form k*x + a and give k. -13 Rearrange (9*o + 3*o + 0*o)*(-10*o**2 + 2*o**2 + 4*o**2) to the form j*o**3 + y*o**2 + h*o + r and give j. -48 Rearrange h - h**2 - 7*h + 10*h**3 + 5*h - 4*h to f + j*h**3 + n*h**2 + p*h and give f. 0 Express 7*j**3 + 0*j**3 - j**3 + (0 + 0 + j)*(-j**2 + 5*j**2 - 3*j**2) - 2*j**3 + 4 - 4 - j**3 + 2*j - 2*j as v*j + f + x*j**2 + b*j**3 and give b. 4 Rearrange -32*v - 26*v + 14*v - 2 to a + f*v and give a. -2 Express (1 + 3 - 2)*(5*h + 0*h - 4*h) + (18 - 18 - 7*h)*(-4 + 4 - 3) in the form d*h + u and give d. 23 Express 8*a + 2*a + 6*a - 22*a as i + m*a and give m. -6 Rearrange 5*c - 9*c + 9*c**2 + 4*c to x*c + t*c**2 + w and give t. 9 Rearrange -46*u - 4 + 21*u - 34 + 26*u to q + s*u and give q. -38 Express (9*q**2 - q + q)*(7 - 4 - 1) + 3*q**2 - 2 + 2 as a*q + t*q**2 + n and give t. 21 Rearrange 2*s**2 - s**2 + 3*s**4 - 2*s**2 - 2 to the form d*s**2 + p*s**3 + m*s + f*s**4 + y and give d. -1 Rearrange 5*p - 5*p + 8*p**2 + (-1 - 2 + 5)*(-4*p + 4*p - 2*p**2) + 1 + 0*p + 0*p - p**2 - 4*p**2 + 2*p**2 + 4*p**2 to the form x*p + i*p**2 + z and give z. 1 Express (-3 + 3 + d)*(-2*d + d - 3*d)*(d**2 + d**2 + 0*d**2) in the form h*d**3 + v + m*d + c*d**2 + u*d**4 and give u. -8 Rearrange 3 - 5 + 777*c**4 - 775*c**4 + c + c**2 - c**3 to q*c**2 + u + j*c + z*c**3 + f*c**4 and give z. -1 Rearrange -2*y + 11*y**2 + 2*y - 6*y**2 to the form f + q*y**2 + b*y and give b. 0 Express (13 - 47 + 26 - 2*d)*(-1 + 1 + d**2)*(-2 + 1 + 3)*(5 - 3 - 1) as f + j*d**2 + v*d + b*d**3 and give b. -4 Rearrange (4*v + v - 3*v)*(0 + 28 - 19*v + 23*v) to the form w + f*v + k*v**2 and give k. 8 Rearrange 4 + 2*q**2 - 16 - 2*q**3 - 4*q + 12 to the form w*q**3 + k*q + t*q**2 + l and give k. -4 Express 13*z**3 - 7*z**3 + z**2 + 6*z**3 in the form j*z**3 + q*z + b + h*z**2 and give j. 12 Rearrange (2*j**2 - 4*j**2 - 2*j**2)*(-3*j - 2*j**2 - j + 4*j**2) to m*j + k*j**4 + q*j**2 + p*j**3 + d and give p. 16 Rearrange -6*m + 21 + 14*m - 8*m - m**2 + 2*m**3 to g*m**3 + r*m**2 + k*m + i and give i. 21 Express -17 + 37 - 19 - 66*p**2 in the form u*p**2 + l*p + s and give s. 1 Express (-3 + 3 + q**2)*(q - q + 2*q)*(-4*q + 13*q + 3 + 1) as l + j*q**4 + s*q + t*q**3 + x*q**2 and give t. 8 Express 2 + 8 + 8*q + 4 - 11 as m + g*q and give g. 8 Express (-2 + 0 + 4)*(-3*w**3 - 2*w**3 + 4*w**3)
{ "pile_set_name": "DM Mathematics" }
- 76*i*x**3 + 13*i*x**2 - x**3 - 5*x**2 wrt i. -312*i**2*x + 724*x**3 Find the second derivative of 39*h**4 + 9*h**3 - 11*h**2 - 47024*h. 468*h**2 + 54*h - 22 Differentiate 160*d*l**2 - 5503*d*l + 715257*d wrt l. 320*d*l - 5503*d What is the third derivative of -889516*w**3 + 96*w**2 - 4652? -5337096 Differentiate 2*c**4*g**2 - 860193*c**2*g**2 + 2410123*g**2 wrt c. 8*c**3*g**2 - 1720386*c*g**2 What is the first derivative of 153662*v**3 + 141901 wrt v? 460986*v**2 Find the second derivative of 19862*z**5 - 41848*z. 397240*z**3 What is the second derivative of 56*n**3*v**2 - 172*n**2*v**2 + 33*n*v**2 + 104*n + 2*v**2 - 1 wrt n? 336*n*v**2 - 344*v**2 What is the second derivative of 15983*n**2 - 67765*n? 31966 Find the second derivative of -117825*l**4 + 54070*l wrt l. -1413900*l**2 What is the third derivative of 774955*f**3 - 313304*f**2 wrt f? 4649730 Find the second derivative of -106108*r**2 - 101*r - 537. -212216 Differentiate -1973*t**4 + 6*t*z**2 - 3*z**2 + 425*z - 19 with respect to t. -7892*t**3 + 6*z**2 What is the third derivative of 42*h**2*y**3 - 9*h**2 - 870*h*y**6 - 5693*y**2 wrt y? 252*h**2 - 104400*h*y**3 Find the second derivative of 1767*o**3 - 9*o**2 + 73270*o wrt o. 10602*o - 18 Find the third derivative of 67*h*m**4 - 1855*h*m**3 - 2*h*m**2 - 147*h*m + 2*h + 2*m**3 - 1860*m + 3 wrt m. 1608*h*m - 11130*h + 12 What is the third derivative of 88239*b**3*h**2 + 3*b**2*h**2 + 20*b**2 + 210*b wrt b? 529434*h**2 What is the derivative of u**4 - 2212*u**2 - 3*u + 3618 wrt u? 4*u**3 - 4424*u - 3 What is the second derivative of 2034604*h**2 - 395*h + 717? 4069208 Find the third derivative of j*n**4 + 633*j*n**3 + 2*j*n**2 + 18*j*n - 10*n**3 + 3*n**2 + 2 wrt n. 24*j*n + 3798*j - 60 Find the first derivative of 30*i**2*w**2 + 1187202*i**2 + i*w**2 - 67*w**2 wrt w. 60*i**2*w + 2*i*w - 134*w What is the second derivative of -133129*i**3 + 18*i - 3424 wrt i? -798774*i Find the third derivative of -227*o**5 - o**4*x - 8*o**3 - 2*o**2 - 6*o*x - 78*o + 1 wrt o. -13620*o**2 - 24*o*x - 48 Find the second derivative of 64678*f**5 - 78*f + 173 wrt f. 1293560*f**3 Find the second derivative of 57890*d**2 - 36270*d wrt d. 115780 Find the second derivative of 10*v**5 - 3659*v**4 - 403190*v. 200*v**3 - 43908*v**2 Differentiate -34926*f*o**2 + 11956*o**2 + 3 wrt f. -34926*o**2 What is the first derivative of v**2 + 17650*v - 1651362 wrt v? 2*v + 17650 Find the third derivative of -84*l**2*x**3 + 19*l**2*x**2 - 7*l*x**2 - 20*l*x + 51*x**4 wrt x. -504*l**2 + 1224*x What is the derivative of -1128248*d + 4412102 wrt d? -1128248 Find the second derivative of -56709*j**2 - 67567*j. -113418 What is the second derivative of -37612*k**2*q**3 + 4*k*q**3 + k*q**2 + 82*q**2 + 1 wrt k? -75224*q**3 Find the third derivative of 3311742*c**3 + 1259691*c**2. 19870452 Find the second derivative of 174205*l**2*y**2 - 11*l**2*y + 2*l*y**3 - 512*l*y wrt y. 348410*l**2 + 12*l*y What is the derivative of 276135*c*o + 210830*o - 1 wrt c? 276135*o Differentiate -10*u*w - 2592547*u - 3*w**2 + 6937*w wrt w. -10*u - 6*w + 6937 Find the second derivative of 396574*i**3 - 3530*i. 2379444*i Differentiate -3*d**2*v**3 - 46404*d**2 - 6196*d*v**4 + 2*d wrt v. -9*d**2*v**2 - 24784*d*v**3 Differentiate 20*u**3 + 31698*u + 266751 wrt u. 60*u**2 + 31698 What is the second derivative of 3*x**4 - x**3 - 15660*x**2 - 265779*x wrt x? 36*x**2 - 6*x - 31320 What is the second derivative of c**5*k + 79918*c**4*k - 7*c**2 - 2669*c*k - 9*c + 2 wrt c? 20*c**3*k + 959016*c**2*k - 14 Find the third derivative of -6*i**6 - 347*i**4 + 2*i**3 + 11*i**2 - 10*i + 44 wrt i. -720*i**3 - 8328*i + 12 What is the second derivative of 41821*c**3*v**2 + 401*c**3 + 101*c**2 + 9*c*v**4 - 3*c*v wrt v? 83642*c**3 + 108*c*v**2 Find the third derivative of 16*j**4 - 132919*j**3 - 4*j**2 + 12327*j - 10 wrt j. 384*j - 797514 Find the second derivative of q*x**5 - q*x**2 - q*x - 22900*x**2 + 58350*x wrt x. 20*q*x**3 - 2*q - 45800 Find the second derivative of -84*n**3*u**2 + 144*n**3*u - 476*n*u**2 + 7*n*u + u**2 + 3*u wrt u. -168*n**3 - 952*n + 2 What is the derivative of 51448*u + 73130? 51448 What is the third derivative of -14*l**5*n - 244*l**4*n**2 - l**2*n**2 - 4*l**2*n - 2375*l*n wrt l? -840*l**2*n - 5856*l*n**2 Find the third derivative of -202*i**4*o**2 - 964*i**3*o**2 - 2*i**2*o + i*o**2 + 1292*i - 55 wrt i. -4848*i*o**2 - 5784*o**2 What is the third derivative of 2*n*p*w**3 + 1849*n*p*w**2 + 2*n*p*w + 103*n*w**3 + n*w + 54*p*w**3 - p*w + 2*w**3 + 33 wrt w? 12*n*p + 618*n + 324*p + 12 Find the first derivative of -87655*f**4 - 3*f - 1002615 wrt f. -350620*f**3 - 3 What is the derivative of -2*a**2 + a*g*p**2 - 4388*a*p**3 - 4*g*p**3 - 11768*p**2 wrt a? -4*a + g*p**2 - 4388*p**3 What is the third derivative of 152919*a**3 + 1588*a**2 - 4*a + 13? 917514 Find the second derivative of 83040*o**2 - 17377*o + 1. 166080 What is the second derivative of 127*k**4 - 20*k**3 - 2*k**2 - 2*k + 6259 wrt k? 1524*k**2 - 120*k - 4 Find the second derivative of 605848*f**3 + f + 5032 wrt f. 3635088*f Find the second derivative of 61178*l**2 + 192*l - 53. 122356 Find the first derivative of 23*d**4*j + d**4 + 123*d**3 + 4363*j - 2 wrt d. 92*d**3*j + 4*d**3 + 369*d**2 Find the third derivative of 353*f**2*m**3 + 10033*f**2*m + 40*f**2 - 2*f*m**2 + 20*m**3 - 2*m**2 wrt m. 2118*f**2 + 120 Differentiate 14182*o - 67127 wrt o. 14182 What is the third derivative of 2014*g**3*k**2*w**3 - 18*g**3*k**2*w**2 + 2*g**3 - g**2*k**3*w + g*k**3 - 14*g*k**2*w**2 + 6*k**3*w**3 wrt w? 12084*g**3*k**2 + 36*k**3 Find the second derivative of -49269*a**3 + 5*a - 2448. -295614*a What is the third derivative of 18*f**3*s**2 + 579*f**3 - f**2*s**2 - 17*f**2*s - 538*f*s**2 + f wrt f? 108*s**2 + 3474 Find the first derivative of 352926*w**2 + 81613. 705852*w What is the second derivative of -12472*x**4 + 6*x**2 + 232412*x? -149664*x**2 + 12 Find the third derivative of -13629*w**6 - 42859*w**2 wrt w. -1635480*w**3 What is the derivative of 167*f**3 + 87*f**2*g**3 - 5*g**3 - 2*g - 6692 wrt f? 501*f**2 + 174*f*g**3 What is the third derivative of 183*h**6*w - 180*h**3*w**3 + 76295*h**2*w**3 + h**2 wrt h? 21960*h**3*w - 1080*w**3 Find the second derivative of -7*a**4 - 1177*a**3 - 2*a**2 + 12*a + 100. -84*a**2 - 7062*a - 4 What is the second derivative of 52368*i**3 - 180*i - 376? 314208*i Differentiate -w**2 + 2445069*w + 831782 wrt w. -2*w + 2445069 Find the third derivative of 398642*w**3*x**4 + 3934*w**3*x**2 + 8*w*x**2 - x**5 wrt x. 9567408*w**3*x - 60*x**2 What is the derivative of -y**3 - 30022*y - 750854? -3*y**2 - 30022 What is the first derivative of -906364*o**4 + 971875? -3625456*o**3 Find the second derivative of -537*b*i*j + 52*b*j**2 - b*j - 9*b + i*j**2 - 2*i - 178*j**5 wrt j. 104*b + 2*i - 3560*j**3 Find the second derivative of -13575*i**2*j**5 - 3*i**2*j**2*w + 122*i**2*j*w - 2*i**2*j - i**2*w - 3*j*w wrt j. -271500*i**2*j**3 - 6*i**2*w What is the first derivative of -12001*x**2 - 3*x + 156822? -24002*x - 3 Find the second derivative of 1285289*v**2 + 64*v - 1230 wrt v. 2570578 What is the first derivative of -284906*t**4 + 108047 wrt t? -1139624*t**3 Differentiate 7756*z**3 - 2*z - 267708. 23268*z**2 - 2 What is the third derivative of 2*p**5 - 45*p**4 - 700*p**3 + 1087192*p**2? 120*p**2 - 1080*p - 4200 What is the third derivative of 5396*g**6 - 31149*g**2 wrt g? 647520*g**3 Find the first derivative of -28*h**4 - 3419*h + 680482 wrt h. -112*h**3 - 3419 Differentiate l**3 + 1793991*l + 1455214 with respect to l. 3*l**2 + 1793991 What is the first derivative of -764206*h**3*l*p - h**3*l - h**3*p**4 + 26*h**3 + 50*h**2*l + 58*h*l - 1 wrt p? -764206*h**3*l - 4*h**3*p**3 What is the second derivative of 102724*t**3 - 85765*t wrt t? 616344*t What is the third derivative of 7*k**3*o**2 - 5754*k**3*o + 192*k**2 + 67*o**2 wrt k? 42*o**2 - 34524*o What is the second derivative of -4098*w**2*y - 40*w**2 + 9*w*y + 2*w + 21960 wrt w? -8196*y - 80 Find the third derivative of 618319*q**3 - 3179707*q**2 wrt q. 3709914 Find the second derivative of -37611*d**2 - 759856*d. -75222 What is the third derivative of -34692*n**4 - 7*n**2 - 138*n wrt n? -832608*n Differentiate -c**4*d**2 - 81671*c**4 - 20770*d**2 - 1 wrt c. -4*c**3*d**2 - 326684*c*
{ "pile_set_name": "DM Mathematics" }
*p + 12. Solve -t - 1 = -w for t. 2 Let q be 148/12 - (-1)/(-3). Let z = q + -7. Solve 0 = -z*b - 0*b for b. 0 Suppose -6 = -5*r + v, 1 = -4*r - 6*v + v. Suppose a + 2 = -4*b, 0*a - 5*a - 5*b + 20 = 0. Solve r = y + a for y. -5 Let f be (-1 + 1)/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w. 5 Suppose 0 = -3*n - 2 + 35. Suppose 4*i + 4 = 0, 5*o - 4*i = 13 + n. Suppose 0 = -j - 4*j. Solve j = -4*k - o - 12 for k. -4 Let o be 4 + 1/(-2)*-2. Solve -o*t - 2 = 3 for t. -1 Suppose 1 + 5 = 2*r. Let c(p) = -3*p + 8 + p**3 - 2 - 2*p - 3. Let y be c(r). Solve -y = 4*i - i for i. -5 Suppose -i - 3 + 6 = 0. Suppose i*c + 26 = 4*c. Let l be (-2)/8 - c/(-8). Solve u - l*u = 0 for u. 0 Let i be -6*(33/(-9) + 3). Let m(h) = h**3. Let v(j) = -j**2 + 3*j + 5. Let d be v(4). Let w be m(d). Solve w + 11 = i*s for s. 3 Let m = -36 - -36. Solve m = 3*u - 5 + 17 for u. -4 Suppose 8*g + 20 = 12*g. Let n(m) = m**2 + 1. Let o be n(0). Solve g = -2*w + o for w. -2 Let y be 3 - (12/(-4))/(-3). Solve -y*q = -3*q for q. 0 Let n be 12/18*(-30)/(-4) - 3. Solve -2*p = n - 4 for p. 1 Let y be (-10)/(-4) + (-9)/(-6). Suppose 18 = y*p - 2*p. Let m = p - 4. Solve 5*a + m = -20 for a. -5 Suppose 32*v - 34*v = 0. Solve v = g - 1 - 1 for g. 2 Let n(a) = 4*a**2 - 3*a**2 + a - 5 - 2*a. Let s be n(-4). Suppose 5*j + b = 20, 4*j + 0*b + b - s = 0. Solve 0 = 2*r + 3*r + j for r. -1 Let s(j) be the second derivative of -j**4/12 + j**3 + j**2/2 - j. Let c be s(6). Let q = c - 1. Solve 0*z + 4*z - 20 = q for z. 5 Let n = 24 - 19. Solve -13 - 12 = n*p for p. -5 Suppose -5 = -u + 6. Let o(v) = -v - 2. Let c be o(7). Let t = c + u. Solve 0*g - t*g = -2 for g. 1 Let v(g) = -g + 4. Let u be v(6). Let f be (-1)/(u - 38/(-20)). Suppose 5*r + 2 = 22. Solve f = -z - r*z for z. -2 Let x = 14 + -11. Solve 0 = 2*u + u - x for u. 1 Suppose 4*d = 24 + 20. Let y = d - 8. Let m be (0/y)/(-3 - -5). Solve 0 = -c - m - 5 for c. -5 Let d(u) = u**2 + 3*u - 5. Let i be d(-5). Suppose 0 = i*x + 6*h - 2*h + 18, -3*h = -3*x. Let z be 0*(-3 - 5/x). Solve z*p + 3 = p for p. 3 Let s = 273 - 273. Let j(t) = t**2 - 4*t - 2. Let y be j(5). Solve s*k - y = 3*k for k. -1 Let t = 4 - 4. Suppose 4*u - 3*y - 18 = t, -u + 3*y + 1 = -8. Let k(z) = z + 1. Let l be k(u). Solve l = o - 5*o for o. -1 Suppose r + w = 2, -3*r + w + 6 = -2*w. Suppose -4*u - u + 2 = -v, 4*v + 8 = -r*u. Solve 6*j - 2*j = u for j. 0 Let i = 10 - 6. Let g = -6 + 6. Suppose -6*s = -2*s + 3*c - 48, g = -2*s + c + 14. Solve 0 = i*n - n + s for n. -3 Let k be (0 - -6)/((-24)/(-64)). Suppose k = 5*b - b. Suppose 4*a = 2*a + b. Solve 4*s = a*s + 8 for s. 4 Let k = 4 + -6. Let j = k + 5. Suppose j = -5*f + 33. Solve -f - 19 = 5*r for r. -5 Let f(s) = s**3 + 6*s**2 - 11*s + 6. Let i be f(-8). Let g = i - -59. Solve 3*p - g = -2*p for p. 5 Let g = -9 - -11. Suppose q - 4 = g. Let i = q - 1. Solve -3*f + 10 = -i for f. 5 Let s(o) = -o**3 - 3*o**2 + 7*o + 12. Let j be s(-5). Let r be (j/(-6))/((-1)/2). Solve 3*d + 0 = -r for d. -3 Let p(w) = w**3 - 5*w**2 - 9*w + 9. Let d be p(6). Let t be 1/(-2)*(d + 1). Solve -4*a + 16 = -t for a. 5 Let c(y) = y**3 + 7*y**2 + 6*y + 5. Let l be c(-6). Solve -l*m = 7 - 2 for m. -1 Suppose 2 = -2*b + 3*b. Suppose j - b*n = -6, 6 = -3*j + 3*n - 3. Solve j = 3*v - v for v. 0 Let v(d) = -d**3 + d**2 + 4*d - 3. Let l be v(3). Let x = -14 - l. Let q = x - -5. Solve 4*g + 0*g - 16 = q for g. 4 Suppose 9*g = 4*g. Solve g*x + 3*x + 15 = 0 for x. -5 Let z(g) = g**2 + 7*g - 5. Let d be z(-9). Let j = d - 11. Solve -j*p = 2*p + 8 for p. -2 Suppose -4*q + 2*n - 9 = 5, -n = 4*q + 5. Let h be q/(-5) - 56/(-35). Solve -t - 3 = h for t. -5 Let a(y) = -y - 1. Let k be a(-2). Solve -g = -0*g + k for g. -1 Let y = 11 + -8. Let z(b) = -y*b + 0*b + 2*b. Let m be z(-2). Solve 4*n - 14 - m = 0 for n. 4 Let v(y) = -y**2 + 8*y + 8. Let h = 19 + -11. Let g be v(h). Solve -s - g = s for s. -4 Let d(l) be the third derivative of l**4/24 - l**3/3 + l**2. Let v be d(2). Solve 5*y - 6*y + 3 = v for y. 3 Let z be (-2)/5 - 119/(-35). Suppose -1 = z*s + 4*n, 0 = 3*n + 5 + 7. Solve -s*v = -0*v - 25 for v. 5 Suppose 2*g = -3*g - 10. Let l(u) = -2*u**3 - u**2 - 2*u - 1. Let s be l(g). Suppose -k = -5*m - s, 5 = 2*k + k + 5*m. Solve 4*c = -k - 7 for c. -3 Let i(j) be the second derivative of 1/6*j**3 + 0 + 3*j**2 + 2*j. Let m be i(0). Solve g + 2*g - m = 0 for g. 2 Let l(p) = 5*p - 6. Let w(b) = 9*b - 11. Let j(q) = 7*l(q) - 4*w(q). Let h be j(-5). Suppose 0 = 5*c, 3*t - h*t + 3*c + 28 = 0. Solve 0 = 4*y + 1 + t for y. -2 Let h(w) = 4*w. Let y be h(1). Suppose -y*z + 5 = -3. Solve -z*b + 12 = b for b. 4 Let v(x) = -2*x. Let n be v(-2). Suppose -2*z = -5*s - 15 + 1, 4*s = -2*z - n. Solve -z*y = -y - 2 for y. 2 Let b = -13 - -17. Solve -b*m - m = 10 for m. -2 Suppose -22 - 11 = 3*z. Let y = -11 - z. Solve y = -b + 4*b + 12 for b. -4 Let r = 6 - 4. Let j = r - 1. Let z = 11 + -8. Solve z - j = 2*l for l. 1 Let g(s) = s**2 - 3*s + 4. Let f be g(0). Solve 0 = -f*m + m for m. 0 Suppose s + 33 = 4*s. Let k be s + 1/(-1)*3. Let w = 9 - k. Solve -2 - w = -3*a for a. 1 Suppose -2*t + 3 = y, 0*t - 5*y = -5*t + 30. Suppose 0 = -t*b - q, -2*q - 1 = -4*b + 9. Solve -v - b = 2 for v. -3 Suppose a - 2*h - 15 = 0, -2*a = 3*a - 2*h - 35. Let v(d) = d - 2. Let u be v(3). Solve 0 = -a*t - 26 + u for t. -5 Suppose 4*j - 35 = 37. Suppose 4*m + q = 24, -2*m = -5*m + 5*q + j. Solve 0 = -z + 1 - m for z. -5 Let c be (-1)/(3/6) - -2. Suppose c = -2*g + g + 50. Suppose -5*y + 4*z = -0*y - g, 3*y + z - 30 = 0. Solve -5*w = 10 + y for w. -4 Suppose 4*d - 9*d = -20. Solve d*a - 3 - 13 = 0 for a. 4 Let c(h) = -2*h - 8. Let t be c(-6). Suppose -t*q = -7*q + 24. Solve 2*l = -2*l + q for l. 2 Suppose -3*m + 10 = 3*j - 4*j, 20 = -5*j. Suppose m*n = 5*n - 12. Let u = 6 - n. Solve 3*s - 2*s = u for s. 2 Let m(f) = -6*f - 15. Let j be m(-4). Solve j*o = 4*o + 5 for o. 1 Let s(k) = k**3 - 5*k**2 + 3*k - 1. Let b be s(3). Let r(y) = y**2 + 10*y + 9. Let h be r(-8). Let g = h - b. Solve -g*z - 5 = 10 for z. -5 Suppose -r - 3*r + 8 = 0, 2*k - 2*r = 0. Let d be 0 + 0 - -7*1. Solve -d*p + k*p = 0 for p. 0 Suppose 3*d = 4*h - 32, 2*d = -6*h + h + 17. Let u = -2 - d. Solve -u*k + 5*k = -9 for k. -3 Let i = 12 + -9. Solve 2*d - d = i for d. 3 Let i be (3 - (-20)/(-8))*4. Let d be 0 + 6/3 + 14. Solve 2*q = -i*q + d for q. 4 Let o(h) = 3*h - 3. Let m be o(2). Solve -4*x + 1 = -m for x. 1 Let x(f) = -5*f**2 + 2*f - 2. Let c be x(2). Let l be 1/(-4) - c/8. Let j = 6 - 3. Solve l*d = -j*d for d. 0 Suppose 0 = -0*j + j - 25. Suppose y + 5*o + 23 = 0, -7*o - j = -2*o. Solve 8 + y = -2*l for l. -5 Let t be 2/6 - 1/3. Let k be t/(2 - 0) - 1. Let f(y) = -5*y. Let j be f(k). Solve 5 + 0 = j*q for q. 1 Let k be 10/(4/2) - 3. Suppose -3*l - 17 - 18 = -k*r, 2*r + 3*l - 5 = 0. Solve 0*f = -2*f - r for f. -5 Let c be (-4)/(-26) - (-4)/(-26). Let i = 20 - c. Solve -r = 4*r - i for r. 4 Let y(c) = c + c**2 + 18 + c**3 - 2*c**3 - 14*c**2. Let v be y(-13). Solve 0 = -6*i + i + v for i. 1 Suppose -21 = h - 4*h. Let r(p) = p**3 - 8*p**2 + 7*p + 3. Let v be r(h). Solve -v*b + 3 = -0 for b. 1 Let i = -4 + 7. Suppose 7*h - 4 = i*h. Let w(j) = j**2 - 6*j + 5. Let o be w(6). Solve 0 = o*b + h + 19 for b. -4 Suppose 2*k + 4*y = 4, -5*y + 4*y = 0. Solve -4*p = 18 + k for p. -5 Let j = 17 + -11. Solve j*v = 2*v for v. 0 Let u(a) be the second derivative of -a**5/20 - a. Let m be u(-1). Let j(w) = -w**2 + 17*w - 26. Let x be j(15). Solve -k + x = -m for k. 5 Let i be (-91)/(-6) + 6/(-36). Let l = i + -15. Solve l = 4*m + 3 + 1 for m. -1 Suppose 8 = 4*d + q - 20, 0 = -d - 4*q + 7. Suppose 3*w = -12, 0 = p - 3*w + d*w + 17. Let s be 20 - (0 + 0)*p. Solve 5*t + s = t for t. -5 Let g = 2 + 5. Suppose 0 = 4*w - g - 1. Solve b - 5 = w*b for b. -5 Let a(w) = w - 4. Let d be ((-3)/(-5))/((-7)/(-70)). Let m be a(d). Solve 2*s - 4 = -m for s. 1 Let v = 6 - 13. Let w be (-9)/12 + v/(-4). Let d = 1 + w. Solve -d*p + 5*p - 15 = 0 for p. 5 Let q = 12 + -9. Solve -q*k + 10 = -8*k for k. -2 Suppose -5*m + 5 = -3*q - 1, 0 = -2*q - 4. Solve m = z - 2 + 6 for z. -4 Let i(t) = t**2 - 4. Let y be i(3). Let s(c) = 2*c**3 + c**2 - 4*c + 3. Let x be s(2). Solve 8*g - y*g = x for g. 5 Let n be 10/4*(1 - -1). Let v(o) = o**3 - 6*o**2 + 4*o + 7. Let y be v(n).
{ "pile_set_name": "DM Mathematics" }
s digit of a? 8 Let x(c) = c**2 + 34*c + 206. What is the units digit of x(-29)? 1 Let f be (2536/16)/(2/4). Suppose 5*a - 315 = -5*v, -4*a = -4*v + f - 97. Let q = 37 + v. What is the tens digit of q? 9 Suppose -k - 4 = -x, 20 = 5*x + k - 4*k. What is the hundreds digit of 740/x + 2 - -3? 1 Let y(r) = 32*r**2 + r + 6 - 37*r**2 + 6*r**3 + 3*r**3. Let f be y(2). Suppose l = -3*a + f, 0 = 4*l - 5*a - 166 - 74. What is the units digit of l? 0 Let i = -185 + 201. Let g(w) = -w**2 + 25*w + 10. What is the units digit of g(i)? 4 Suppose 24876 = -21*y + 17258 + 81937. What is the hundreds digit of y? 5 Suppose 4106 - 193 = w - 2*b, -4*b = -4*w + 15656. Suppose -7*g = 8*g - w. What is the units digit of g? 1 Let v be 9/(45/(-152)) - (-2)/5. Let h be 2/((-2)/3) + (v - 2). Let t = h + 75. What is the tens digit of t? 4 Suppose -4815 = 6*s - 20*s + 244539. What is the ten thousands digit of s? 1 Let n = 13 - 13. Suppose 3*b - 3*d + 4*d - 7 = 0, 5*d - 5 = n. Suppose b*a + y - 234 = 0, 0*y = y + 2. What is the tens digit of a? 1 Suppose -7*c + 6*c + 20 = -4*q, -4*q - 4 = c. Suppose g + 5*k = 190, 0 = -4*g - 3*k + c*k + 760. What is the units digit of g? 0 Suppose 2*y + o - 77157 = 2*o, 38583 = y + o. What is the ten thousands digit of y? 3 Suppose 0*h + 6*h = 504. Suppose 0 = 2*r - 8 - 622. Let w = r - h. What is the tens digit of w? 3 Let z(n) = 3*n**3 - 249*n**2 - 444*n - 287. What is the thousands digit of z(86)? 8 Let p = 1935 + 869. What is the tens digit of p? 0 Suppose 33*o - 38*o + 24895 = -15. What is the hundreds digit of o? 9 Let a = -79 - -101. Suppose -b = -4, a + 34 = -2*t - 4*b. Let p = 43 - t. What is the tens digit of p? 7 Let q = 6432 - -17021. What is the tens digit of q? 5 Let f(y) = -y + 3. Let z(a) = -a + 2. Let h(t) = -5*f(t) + 4*z(t). Let w be h(7). Suppose -4*b + 694 = -v - v, w = -b - 4*v + 169. What is the tens digit of b? 7 Suppose 3*q = 2*y + 8, 0 = 4*q + 6 - 22. What is the units digit of -16 - -557 - (0/y + -5)? 6 Suppose -4*q + 19 = 5*t - 25, t = 5*q - 26. Let i(p) = -p**3 + 8*p**2 - 13*p - 2. Let j be i(q). Let k = -6 - j. What is the units digit of k? 2 Suppose 0 = -6*q + 5671 + 39089. Suppose q = -4*z - 3*g - 0*g, -5*z - 4*g = 9324. What is the tens digit of z/(-20) + (-2)/5? 9 Suppose f + 0*f - 3*x = 17, -x = -f + 11. Suppose 11*a = f*a + 6. Suppose 4*g = 0, 0*g + g = -a*j + 126. What is the tens digit of j? 6 Let k(y) = 3*y + 39. Let u be k(26). Let d = 224 - u. What is the tens digit of d? 0 Let s(i) = 2*i - 25*i**3 - 6 + 10*i**3 - 9*i - 2*i**2 + 11*i**2 + 14*i**3. Suppose 3*z - 4*l - 4 - 12 = 0, -2*l = -5*z + 36. What is the units digit of s(z)? 2 Suppose 42*h - 77088 - 177264 = 0. What is the hundreds digit of h? 0 Let j(w) = -w**3 + 15*w**2 + 18*w - 30. Let n be (16/(-12))/(6/(-72)). Let o be j(n). What is the units digit of -6*(-34 - 6/o)? 2 Suppose -5*s - 5*f + 2420 = 0, 7*s - 9*s + 5*f = -989. What is the tens digit of -1 - s*7/(-7)? 8 Suppose -71 = -4*d - 5*r + 199, -5*r = -3*d + 220. What is the tens digit of ((-714)/(-3))/(28/d)? 9 Suppose -41*h + 39*h = -6. Let r = 11 + -15. What is the tens digit of 156*(13/h + r)? 5 Suppose -4*s + z + 4*z = -14, 4*z = 24. Let j(t) be the second derivative of t**4/6 - 2*t**3 + t**2 + t. What is the hundreds digit of j(s)? 1 Let k = 122364 + -84995. What is the hundreds digit of k? 3 Let m(l) = -l**3 + 3*l**2 - 7*l. Let r be m(5). Let g = 1705 + -1372. Let z = g + r. What is the units digit of z? 8 Let q be (-395)/(-4) + 9/(-12) - -2. Suppose -118*p = -q*p - 27432. What is the units digit of p? 4 Let l = 77 - 73. Let b(z) = l*z**2 - 2*z - 7*z - 3*z + 25 - z. What is the units digit of b(6)? 1 Suppose -3*w + 7 + 2 = 0. Suppose -3*a + 5*d - 6 = 3*d, 4*a - w*d = -9. Let l(b) = b**2 - 2*b + 56. What is the tens digit of l(a)? 5 Let t(u) = -15 + 5*u + 15 + 21. Let v be t(-4). What is the tens digit of -110*v/(-2)*1? 5 What is the tens digit of ((-30)/8)/(501/(-368068))? 5 Let o be -46 - 2/5*-5. What is the hundreds digit of 8/44 - 8396/o? 1 Suppose -4*i + 4*u = 244, i - 3*i - 5*u - 87 = 0. Let t = -52 - i. Suppose -t*j = -114 - 242. What is the units digit of j? 9 Suppose -7*p + 0 = -7. Suppose 3*a + 13 = 2*u, 2*u - p - 8 = -a. Suppose 4*v - u*v = -41. What is the units digit of v? 1 Let t(y) = 4*y**3 - 2*y**2 - 10*y + 2. Let q be t(-3). Let w = q - -99. Suppose 342 = 4*m + f, -w*m - 2*f + 431 = f. What is the tens digit of m? 8 Let r be (1 - 3/(-12)) + 15/20. Suppose r*u - 540 = -40. What is the tens digit of u? 5 Let z = 1539 - 1017. Let r = z + -499. What is the units digit of r? 3 Suppose 3*k + 4*i = 37381, -30*k + 62296 = -25*k + i. What is the thousands digit of k? 2 Let c(g) = 18*g**2 + 47*g - 5. Let u(j) = -20*j**2 - 47*j + 4. Let l(i) = 3*c(i) + 2*u(i). What is the tens digit of l(-8)? 1 Suppose -42*a + 1509 = -6765. Suppose -j - 10 + 223 = 3*h, -5*h = -j + a. What is the tens digit of j? 0 Suppose 0 = -3*l + 4*d + 19501, -3*d + 25968 = 2*l + 2*l. What is the hundreds digit of l? 4 Suppose 5*l + 2*i + 404 = 0, 3*l - 2*l - 4*i + 72 = 0. Let p = l - -84. Suppose 165 = p*g - 5*v - 552, 2*g - 5*v = 371. What is the hundreds digit of g? 1 Let l(w) = w**3 + 10*w**2 + 10*w + 7. Let m be l(-9). What is the tens digit of (-3 - m)*4*-91? 6 Suppose -2*k + 17689 - 5231 = 0. What is the units digit of k? 9 Let o(z) = -38*z**2 - 2*z - 9. Let s(g) = -19*g**2 - g - 4. Let r(c) = -3*o(c) + 5*s(c). Let q be r(-5). Suppose -q = -4*i - 165. What is the units digit of i? 8 Let j(v) = -v**2 + 11*v - 7. Let q be j(10). Suppose -d - 21 = -q*n + 2*d, -3*d + 3 = n. Suppose 54 = -n*m + 15*m. What is the units digit of m? 6 Let y(n) = -4*n**3 - 39*n + 3*n**3 + 19518*n**2 - 19552*n**2 + 28. What is the tens digit of y(-33)? 2 Suppose 47*n = 135 - 41. What is the tens digit of (-63408)/(-336) + n/7? 8 Let r = 55 - 50. Suppose -r*b = 4*t - 486, 3*t = -4*b + 105 + 283. Suppose -190 - b = -2*l. What is the tens digit of l? 4 Let u(j) = -420*j - 18. What is the hundreds digit of u(-1)? 4 Let q = -205 - -435. Suppose 0 = 3*d - 4*r - q, 3*r = 2 + 1. Suppose 2*g - 101 = -w, 2*w - d = -5*g + 125. What is the units digit of w? 9 Let s be (2 - 5)/((-5)/(-4 + 9)). Suppose -4*w = s*u - 792, -3*w = -7*w - 5*u + 800. Let r = w - 57. What is the hundreds digit of r? 1 Suppose -3*f - u = 262, u + 163 = -2*f - 2*u. Let a = f - -91. Suppose -w + 22 = -4*d, -5*w - a*d = -31 - 35. What is the tens digit of w? 1 Let o(m) = -m - 4. Let r be o(-3). Let g be 3/(-7) - r/((-28)/(-1468)). What is the units digit of (-13)/(g/(-75))*16/3? 0 What is the hundreds digit of (11 - 5) + 270/(-75)*-2015? 2 Suppose o = 4*r + 3 - 0, 0 = -r. Suppose -1785 = -o*g - 4*g. What is the units digit of -3*(-2)/15*g - 1? 1 Suppose -3*m = -4*f + 2*f + 12634, f + 4*m - 6317 = 0. What is the hundreds digit of f? 3 Let h = 1255 - -95. Suppose -5*x + 4*g + h = 0, -g = -4*x - 0*g + 1091. What is the tens digit of x? 7 Let j be (2 - 20/12)/((-1)/(-12)). Suppose -17 + 3 = -j*y - 2*o, 0 = -2*o - 2. Suppose -693 - 171 = -y*v. What is the hundreds digit of v? 2 Suppose -1 = x + 3*z - 8, 2*x = -4*z + 6. What is the units digit of ((-705)/10 + x)*-6? 3 Let a be (-3 - 32/(-4))/1. Suppose -4*u + 1305 = -a*j, 2*j + 984 = 3*u - 0*j. Let k = -118 + u. What is the hundreds digit of k? 2 Suppose 5*x + a - 23053 - 21282 = 2*a, 0 = -2*a. What is the thousands digit of x? 8 Let x(j) = 2107*j**2 + 107*j - 459. What is the tens digit of x(4)? 8 Suppose 47*f = 42*f + 4*o + 515, 2*f - o - 206 = 0. What is the hundreds digit of f? 1 Let m(j) = 4*j**3 + 221*j**2 + j + 217. What is the hundreds digit of m(-16)? 3 Let d(j) = 615*j**2 + 94*j + 643. What is the hundreds digit of d(-7)? 1 Suppose -391*a - 893210 + 11100334 + 4429570 = 0. What is the hundreds digit of a? 4 Suppose -350 = -4*p + 342. Suppose -5*g - t - 77 = p, 5*g + 250 = 5*t. Let d = -22 - g. What is the tens digit of d? 2 Suppose 87*v + 124*v = 55*v + 386568. What is the thousands digit of v? 2 Let u(f) = 28*f - 120. Let s be u(34). Let g = s - 704. What is the hundreds digit of g? 1 Let c(s) be the first derivative of -19 + 39/2*s**2 - 3*s. What is the tens digit of c(3)? 1 Suppose -597*v + 3*b = -600*v + 16428, -2*b = -4. What is the hundreds digit of v? 4 Let j = -32531 - -47904. What is the ten thousands
{ "pile_set_name": "DM Mathematics" }
3 What is the t'th term of 382, 590, 572, 322, -166? -t**3 - 107*t**2 + 536*t - 46 What is the p'th term of 6746, 51431, 171954, 406235, 792194, 1367751, 2170826, 3239339? 6320*p**3 - p**2 + 448*p - 21 What is the u'th term of -385904, -385946, -385988, -386030, -386072? -42*u - 385862 What is the f'th term of 5520769, 11041536, 16562303, 22083070, 27603837, 33124604? 5520767*f + 2 What is the p'th term of 48, 157, 704, 1971, 4240, 7793, 12912, 19879? 47*p**3 - 63*p**2 - 31*p + 95 What is the t'th term of 949470, 1898929, 2848388? 949459*t + 11 What is the x'th term of 4027, 32356, 109297, 259156, 506239, 874852, 1389301? 4051*x**3 - 28*x + 4 What is the v'th term of -106703841, -106703840, -106703839? v - 106703842 What is the v'th term of 10483, 42302, 95341, 169606, 265103, 381838? v**3 + 10604*v**2 - 122 What is the j'th term of 949290, 1898540, 2847790, 3797040, 4746290, 5695540? 949250*j + 40 What is the a'th term of 6739847, 6739834, 6739813, 6739784? -4*a**2 - a + 6739852 What is the c'th term of -97333, -97424, -97515, -97606, -97697? -91*c - 97242 What is the n'th term of -1660785642, -1660785643, -1660785644? -n - 1660785641 What is the h'th term of 20910624, 41821268, 62731912? 20910644*h - 20 What is the b'th term of -201586, -403245, -604906, -806569, -1008234, -1209901, -1411570? -b**2 - 201656*b + 71 What is the s'th term of -147926, -148046, -148166, -148286, -148406, -148526? -120*s - 147806 What is the d'th term of 183114, 183178, 183242, 183306, 183370? 64*d + 183050 What is the n'th term of -1367, -5485, -12383, -22091, -34639, -50057, -68375? -5*n**3 - 1360*n**2 - 3*n + 1 What is the t'th term of -366469, -366577, -366743, -366961, -367225, -367529, -367867, -368233? t**3 - 35*t**2 - 10*t - 366425 What is the t'th term of -10718, -11004, -11290, -11576, -11862? -286*t - 10432 What is the g'th term of -82734, -330887, -744450, -1323429, -2067830, -2977659? -g**3 - 82699*g**2 - 49*g + 15 What is the x'th term of 151041, 297412, 443785, 590160? x**2 + 146368*x + 4672 What is the r'th term of -44083095, -44083097, -44083099, -44083101, -44083103, -44083105? -2*r - 44083093 What is the j'th term of -983, -2065, -3293, -4721, -6403, -8393, -10745? -9*j**3 - 19*j**2 - 962*j + 7 What is the x'th term of -323, -611, -851, -1019, -1091, -1043, -851? 4*x**3 - 316*x - 11 What is the p'th term of 40375, 40289, 40203, 40117, 40031? -86*p + 40461 What is the q'th term of 3226, 2649, 2072? -577*q + 3803 What is the l'th term of 2198, 2382, 2560, 2732, 2898, 3058? -3*l**2 + 193*l + 2008 What is the h'th term of -2271, -4413, -6487, -8487, -10407, -12241, -13983, -15627? h**3 + 28*h**2 - 2233*h - 67 What is the d'th term of -203098, -406183, -609268, -812353, -1015438? -203085*d - 13 What is the r'th term of -306117, -2448416, -8263221, -19586784, -38255357, -66105192? -306042*r**3 - r**2 - 2*r - 72 What is the g'th term of 16007, 65905, 149685, 267341, 418867, 604257? -g**3 + 16947*g**2 - 936*g - 3 What is the t'th term of 188662, 188651, 188634, 188611, 188582, 188547, 188506? -3*t**2 - 2*t + 188667 What is the x'th term of -99090, -198150, -297210, -396270? -99060*x - 30 What is the q'th term of -4295579, -8591213, -12886847, -17182481? -4295634*q + 55 What is the h'th term of 81544744, 81544745, 81544746? h + 81544743 What is the w'th term of -4565072, -18260309, -41085712, -73041287, -114127040, -164342977? -w**3 - 4565077*w**2 + w + 5 What is the r'th term of 60045, 60038, 60031? -7*r + 60052 What is the b'th term of -9276, -25986, -53842, -92850, -143016, -204346, -276846, -360522? -b**3 - 5567*b**2 - 2*b - 3706 What is the b'th term of -4706, -4614, -4408, -4046, -3486, -2686, -1604? 7*b**3 + 15*b**2 - 2*b - 4726 What is the l'th term of -72732, -72708, -72676, -72642, -72612, -72592? -l**3 + 10*l**2 + l - 72742 What is the p'th term of -2859, -2734, -2613, -2496, -2383? -2*p**2 + 131*p - 2988 What is the z'th term of 14228, 57059, 128464, 228443? 14287*z**2 - 30*z - 29 What is the c'th term of 107, -834, -3055, -6556, -11337, -17398? -640*c**2 + 979*c - 232 What is the i'th term of 1485, 3770, 7133, 11574, 17093? 539*i**2 + 668*i + 278 What is the j'th term of -6210, -25868, -58624, -104478, -163430, -235480? -6549*j**2 - 11*j + 350 What is the r'th term of 484981, 969921, 1454861, 1939801? 484940*r + 41 What is the m'th term of -5089, -4501, -3929, -3379, -2857, -2369, -1921? -m**3 - 2*m**2 + 601*m - 5687 What is the p'th term of 38847, 41825, 44793, 47745, 50675? -p**3 + p**2 + 2982*p + 35865 What is the c'th term of 39118, 39349, 39580, 39811, 40042, 40273? 231*c + 38887 What is the q'th term of 451256, 902092, 1352928, 1803764? 450836*q + 420 What is the m'th term of -39502246, -39502245, -39502244, -39502243, -39502242? m - 39502247 What is the h'th term of 28278, 27559, 26840, 26121? -719*h + 28997 What is the n'th term of -2367211, -4734454, -7101731, -9469042? -17*n**2 - 2367192*n - 2 What is the z'th term of 3, -567, -1735, -3525, -5961, -9067, -12867, -17385? -4*z**3 - 275*z**2 + 283*z - 1 What is the z'th term of -28743, -28693, -28653, -28623? -5*z**2 + 65*z - 28803 What is the f'th term of 10049, 80747, 272709, 646589, 1263041, 2182719? 10109*f**3 - 22*f**2 + f - 39 What is the m'th term of 2582, 10201, 22876, 40607? 2528*m**2 + 35*m + 19 What is the q'th term of -239456551, -239456552, -239456553, -239456554? -q - 239456550 What is the o'th term of -1874089, -1874092, -1874091, -1874086, -1874077, -1874064? 2*o**2 - 9*o - 1874082 What is the x'th term of 6340143, 12680261, 19020377, 25360491, 31700603, 38040713, 44380821? -x**2 + 6340121*x + 23 What is the i'th term of 139807, 149812, 159817, 169822, 179827, 189832? 10005*i + 129802 What is the z'th term of -73393, -73395, -73397, -73399, -73401, -73403? -2*z - 73391 What is the n'th term of -45032, -43568, -39594, -31856, -19100, -72, 26482, 61816? 209*n**3 + n**2 - 2*n - 45240 What is the i'th term of 52366611, 52366625, 52366637, 52366647? -i**2 + 17*i + 52366595 What is the v'th term of -1418818, -1418816, -1418814, -1418812, -1418810? 2*v - 1418820 What is the z'th term of 15741063, 62964273, 141669629, 251857131? 15741073*z**2 - 9*z - 1 What is the g'th term of 65293, 65401, 65509, 65617? 108*g + 65185 What is the f'th term of -619, -863, -1125, -1423, -1775, -2199, -2713, -3335? -3*f**3 + 9*f**2 - 250*f - 375 What is the h'th term of -20629, -21105, -21899, -23011, -24441, -26189, -28255? -159*h**2 + h - 20471 What is the l'th term of 150012, 600022, 1350038, 2400060, 3750088? 150003*l**2 + l + 8 What is the h'th term of -7785, -31376, -70769, -125964, -196961, -283760? -7901*h**2 + 112*h + 4 What is the x'th term of 977035, 977048, 977055, 977056, 977051, 977040, 977023? -3*x**2 + 22*x + 977016 What is the s'th term of -26183184, -52366369, -78549566, -104732781, -130916020, -157099289, -183282594? -s**3 - 26183178*s - 5 What is the k'th term of 270375, 270378, 270367, 270336, 270279, 270190? -k**3 - k**2 + 13*k + 270364 What is the h'th term of 9082, 982, -7118, -15218? -8100*h + 17182 What is the y'th term of -19206, -18819, -18432, -18045, -17658, -17271? 387*y - 19593 What is the r'th term of -115950, -231987, -348008, -464007, -579978? r**3 + 2*r**2 - 116050*r + 97 What is the h'th term of 25903, 52285, 79147, 106489, 134311? 240*h**2 + 25662*h + 1 What is the t'th term of 108278429, 108278428, 108278427, 108278426? -t + 108278430 What is the i'th term of 27219587, 27219585, 27219583, 27219581? -2*i + 27219589 What is the x'th term of 324638, 324661, 324702, 324761, 324838? 9*x**2 - 4*x + 324633 What is the z'th term of -415, -481, -603, -781, -1015, -1305? -28*z**2 + 18*z - 405 What is the c'th term of -128222, -512848, -1153892, -2051354, -3205234, -4615532, -6282248? -128209*c**2 + c - 14 What is the z'th term of 35338, 37238, 39136, 41032, 42926? -z**2 + 1903*z + 33436 What is the s'th term of 2073, 16837, 56901, 134919, 263545, 455433, 723237, 1079611? 2109*s**3 - 4*s**2 + 13*s - 45 What is the q'th term of 21130, 23481, 29828, 42169, 62502, 92825, 135136, 191433? 333*q**3 + 20*q + 20777 What is the f'th term of -4106, -3673, -2950, -1937? 145*f**2 - 2*f - 4249 What is the q'th term of 2022, 3361, 5592, 8715? 446*q**2 + q + 1575 What is the k't
{ "pile_set_name": "DM Mathematics" }
5 Evaluate ((-18)/30)/((-36)/30)*-8. -4 What is the value of (((-126)/(-27))/14)/((-1)/3)? -1 What is (-20)/5*((-12)/2)/12? 2 Calculate (3*(-1)/(-9))/((-2)/18). -3 Evaluate (6/((-12)/(-5)))/5*10. 5 What is 9/(-14)*20/30? -3/7 Evaluate 4/(144/20)*12/10. 2/3 What is ((0/7)/5)/(1/1)? 0 What is 95/(-266)*8/10? -2/7 Calculate 1/1*(-19)/19. -1 What is (2/(-2))/((-33)/(-33))? -1 What is ((-3)/(3/4))/(-1)? 4 (4/280*7)/(4/(-30)) -3/4 -1*(-8)/((-12)/(-6)) 4 What is the value of ((-36)/14)/6*70/(-30)? 1 Evaluate 147/231*10/(-35). -2/11 What is (-132)/1617*(-1)/((-4)/(-14))? 2/7 Evaluate ((-136)/(-340))/((-16)/(-10)). 1/4 55/33*(-5)/50*18 -3 Calculate (-160)/(-16)*(-2)/(-4). 5 Evaluate ((21/12)/(-1))/((-49)/(-196)). -7 Evaluate (5/140)/((-4)/(-48)). 3/7 What is the value of ((-6)/(-5))/((-3)/(-10))? 4 What is the value of (55/(-11))/(-10)*-16? -8 What is the value of 18/10*93/837? 1/5 Calculate (-6)/36*-3*0. 0 What is ((-1)/(-4))/((-120)/(-288))? 3/5 What is (14/4)/(7/4)? 2 What is ((-245)/(-14))/1*2/5? 7 Calculate 9/21*(-42)/36. -1/2 Evaluate ((-147)/(-6))/7*16/84. 2/3 Evaluate 2/(70/(-21))*10. -6 Evaluate 1*(-16)/(-20)*5. 4 Evaluate 2/(7/(-21)*2). -3 What is the value of (6/(-15))/((-9)/30)*3? 4 (0/((-6)/(-3)))/(12/3) 0 What is the value of (0*8/16)/2? 0 What is the value of 2*(-6)/4*1/1? -3 What is the value of ((-18)/(-48)*4/(-1))/3? -1/2 Evaluate 3*5/15*72/8. 9 Evaluate 9/(-12)*-5*4/3. 5 What is the value of ((-4)/1)/(-20)*10? 2 What is the value of (14/2)/(1*1/1)? 7 What is (4/(-8))/(1/1)? -1/2 What is the value of (-915)/(-549)*((-6)/(-10))/3? 1/3 Evaluate 3*(-10)/(-765)*3. 2/17 9*8/6*2/(-8) -3 What is the value of ((-3)/(-3))/(3*77/(-66))? -2/7 What is (8/230)/(40/(-100))? -2/23 Calculate (-4)/(-8)*-10*(-9)/60. 3/4 Calculate (3*2*-1)/((-6)/3). 3 What is 2*-8*7/(-112)? 1 What is 5/(-2)*2*2/(-2)? 5 What is (-4*7/(-84))/(3/63)? 7 Calculate (-2)/6*(-18)/42. 1/7 What is the value of (8/(-5))/(30/75)? -4 Evaluate ((-2)/(-2))/(3/15). 5 What is (4/(-6))/(210/(-315))? 1 Evaluate 9/(-12)*2*2/(-5). 3/5 What is the value of (-2)/((-2)/(-8)*2)? -4 (4/6)/(-1*(-14)/14) 2/3 What is ((-15)/48*-4)/5? 1/4 (-8)/(-12)*(-9)/3*-2 4 Evaluate 8/(-3)*(-17)/((-7140)/(-45)). 2/7 Calculate ((-1)/2)/(1*(-4)/(-24)). -3 What is the value of 1/((-9)/(-30))*(-60)/50? -4 What is the value of (17/34)/(21/(-18))? -3/7 Evaluate ((27/(-6))/9)/(-2). 1/4 Calculate 5/((-15)/(-12))*1/1. 4 ((-168)/196)/(54/28) -4/9 ((-5)/4)/((77/22)/(-7)) 5/2 What is the value of 28/7*2/(-4)? -2 What is the value of -6*4/(12/1)? -2 What is the value of 5*4/(-20)*5/5? -1 (3/(-9))/(28/28) -1/3 ((-22)/11)/((7*2)/2) -2/7 Evaluate (-66)/11*(-2)/(-4). -3 What is (5/((-495)/(-6)))/((-2)/(-6))? 2/11 Evaluate (4/(-16))/(4/(160/(-85))). 2/17 What is the value of (2/(-1))/(15/(90/(-4)))? 3 (-8)/(-80)*-5*2/1 -1 Calculate (225/2700)/(2/(-6)). -1/4 -6*(-2)/24*3 3/2 Calculate ((-12)/(-42))/(12/126). 3 Calculate -4*4/(96/(-30)). 5 Calculate 2*2/2*(-1)/1. -2 (-1)/(-1)*(-10)/(-6) 5/3 Evaluate ((-65)/26)/(4/8). -5 (21/(-35))/((-63)/840) 8 What is the value of 16/6*8*27/144? 4 3/((-9)/1)*3 -1 What is (3/45)/(39/(-117))? -1/5 2/(-3*(5/5)/2) -4/3 Calculate 40/32*6/5. 3/2 1/2*(-11)/(22/16) -4 Calculate (-2)/7*(-105)/180. 1/6 What is the value of 4/((-624)/18)*(-4)/(-3)? -2/13 What is (-20)/((25/10)/(-1))? 8 Evaluate ((6/7)/((-27)/(-42)))/2. 2/3 (103/(-309))/((-1)/21) 7 What is (29/(-145))/(18/15)? -1/6 Calculate ((-3)/24)/(6/36). -3/4 Calculate 5/2*(-16)/(-10). 4 Evaluate 12/2*(-1)/12*-4. 2 2*2*3/12 1 What is 46/(-161)*7/12? -1/6 What is (4/6)/((-2)/9)? -3 What is the value of (3/(1/(-1)))/(330/(-275))? 5/2 ((-2)/(-3))/((-392)/84) -1/7 96/192*6/(-5) -3/5 Evaluate 5/(200/5)*(-96)/(-16). 3/4 Evaluate (-3)/(-2)*(-2)/(-12)*2. 1/2 Calculate ((-6)/147*-7)/((-2)/(-4)). 4/7 (-9)/(-84)*(-20)/(-5) 3/7 What is the value of (-3)/(-3)*(-8)/(-12)*-9? -6 What is the value of 15/35*84/(-54)? -2/3 What is (((-63)/14)/3)/6? -1/4 What is the value of 20/(-4)*(-2)/25? 2/5 What is ((-4)/(-8))/(2/(-40)*2)? -5 Calculate (18/(-45))/((-14)/(-20)). -4/7 Evaluate 1*7/(-14)*4/2. -1 ((-17)/((-170)/(-40)))/1 -4 -4*5*(-9)/(-36) -5 Calculate (-10)/60*3/(-2). 1/4 What is (-465)/(-124)*((-7)/10)/7? -3/8 Evaluate 6*(-4)/8*1/3. -1 Evaluate 2/((32/10)/(-8)). -5 Evaluate 240/(-160)*(16/(-27))/(-2). -4/9 Evaluate ((-2)/8)/((-1)/6*-1). -3/2 What is ((-35)/14)/(-1)*(-4)/(-2)? 5 What is the value of (((-20)/(-4))/10)/(1/(-10))? -5 Calculate ((-12)/(-14))/(54/(-252)). -4 Calculate (2/20)/(67/(-134)). -1/5 What is the value of ((-40)/(-12))/((-38)/57)? -5 What is (2/(-5))/((-22)/275)? 5 Evaluate (-65)/(-13)*(-2)/(-5). 2 What is ((-5)/((-300)/8))/((-16)/(-20))? 1/6 What is 5*(-30)/(-350)*-7? -3 ((-6)/36)/((-3)/(-6)) -1/3 Evaluate -1*(-5*4/(-5))/22. -2/11 Evaluate (-5)/((1125/54)/25). -6 ((-12)/12)/(((-2)/(-1))/4) -2 (6/(36*-2))/((-6)/(-16)) -2/9 Calculate ((-2)/(-4))/(2/(-2)). -1/2 What is the value of (4/(-6))/(18/(72/(-8)))? 1/3 What is (1/(3/(-6)))/(2/(-2))? 2 (-12)/24*8/2 -2 Evaluate (-7)/10*(-44)/77. 2/5 What is the value of ((-1)/20*-1)/(12/(-30))? -1/8 Calculate ((-2)/(-4))/(153/(-102)). -1/3 What is the value of (-4)/(-28)*-4*(-54)/72? 3/7 What is the value of ((-8)/(-10))/(138/345)? 2 Evaluate (-4)/36*81/(-18). 1/2 What is (-6)/(-8)*(-52)/(-26)? 3/2 What is (7/(-21))/((-1)/(-6)*-13)? 2/13 What is the value of 3/(-2)*(-50)/(-375)? -1/5 (2/(-6))/((-1)/(-15)) -5 Evaluate (5/(-20)*-6)/(1/(-2)). -3 What is (18/(-15))/(84/30)? -3/7 (12/(-90))/((2/5)/(-2)) 2/3 Evaluate (-40)/210*(-6)/(-8)*2. -2/7 Evaluate ((-5)/60*-4)/(104/(-234)). -3/4 Evaluate ((-18)/15)/((-6)/20). 4 (-4)/16*-18*2*-1 -9 What is the value of ((-78)/(-13))/(-2*(-2)/(-2))? -3 What is the value of (-2*3)/(82/41)? -3 Calculate ((-1)/(-5)*80/(-10))/(-2). 4/5 (3/12*-1)/((-8)/32) 1 Evaluate (-105)/(-7)*(-6)/30. -3 What is the value of ((-6)/8)/((-5)/20)? 3 What is (-12)/15*30/(-96)? 1/4 Evaluate (-9)/(-6)*((-10)/3)/5. -1 What is the value of (33/99)/(1*3/(-45))? -5 Calculate ((-12)/6)/((-2)/(-4)). -4 Calculate ((-12)/5)/(476/(-85)). 3/7 What is (6/1)/(16/(-24)*-3)? 3 What is the value of 1*-3*(55/(-90))/11? 1/6 Calculate (78/(-60))/13*6*-5. 3 Evaluate 5/(-5)*1/(4/(-28)). 7 What is 8/((-840)/(-75))*6/(-5)? -6/7 Evaluate ((-5)/2)/((1/(-1))/(-2)). -5 What is the value of (-16)/(-30)*183/(-244)? -2/5 -8*7*11/2156 -2/7 What is the value of ((-3)/(-10))/((-15)/20)? -2/5 What is the value of (-16)/10*290/(-116)? 4 What is (-3)/2*44/22? -3 What is 0/1*2/(-8)? 0 (-8)/10*(-70)/28 2 (8/(-6))/(6/(-9)) 2 Calculate 20/4*(-25)/((-2625)/2). 2/21 What is the value of (14/49)/(19/21*3)? 2/19 What is (20*(-1)/(-2))/(2/1)? 5 -2*(414/(-184))/(3/(-2)) -3 ((8/6)/(-4))/(4/(-12)) 1 18/(-3)*(-90)/(-54) -10 What is the value of ((-1)/(-12))/(12/(288/(-8)))? -1/4 Evaluate ((66/6)/(-132))/(4/(-12)). 1/4 Calculate (3/(-8))/((-1)/(-2)). -3/4 What is the value of ((3/1)/30)/((-6)/15)? -1/4 What is 13/((-39)/(-24))*(-1)/(-2)? 4 Evaluate ((-18)/4)/(84/((-28)/(-4))). -3/8 Calculate (-52)/(-117)*(-27)/3. -4 What is 2/2*-3*3/(-3)? 3 What is 18/(-42)*21/12? -3/4 What is ((1273/(-114))/67)/((-3)/(-2))? -1/9 What is (-10)/(-4)*(-32)/(-760)? 2/19 Calculate 4/(-6)*15/45. -2/9 (-5)/(-8)*((-48)/20)/6 -1/4 ((-32)/8)/((-4)/(-6)) -6 Evaluate 26/13*1/2. 1 What is ((-3)/(-2))/((-3)/(12/(-2)))? 3 What is 6/(-8)*(-5)/15? 1/4 Calculate ((-8)/(-36))/((-9)/81). -2 What is 2/6*(-393)/(-524)? 1/4 Calculate 62/279*1/(-2). -1/9 Evaluate (6*10/45)/((-4)/(-9)). 3 What is ((-56)/196)/(16/(-14))? 1/4 (6/(-21))/(96/(-42))*2 1/4 Evaluate ((-11)/22)/(3/6). -1 What is the value of (-18)/6*((-30)/18)/5? 1 What is ((-4)/40)/((-2)/5)? 1/4 What is (20/(-12))/(-5)*3? 1 What is the value of (-9)/2*36/54? -3 What is the value of (9/(-6))/(((-9)/(-4))/(-1))? 2/3 What is (3/(-1))/((-2)/(16/8))? 3 18/30*(-4)/(-6) 2/5 What is 12*(12/48)/1? 3 (-2)/4*(-8)/(-1) -4 What is the value of (-62)/62*(-5)/(2/2)? 5 Calculate (-4)/8*20/(1*-2). 5 Calculate ((-2)/2)/((-95)/(-19)). -1/5 5698/74*2/14 11 What is (72/(-66))/(30/165)? -6 6/45*15/12 1/6 Evaluate (4/(-6))/(28/(-210)). 5 What is ((-65)/(-5))/(-156)*-5*2? 5/6 -3*-3*(-16)/(-1080) 2/15 Evaluate (-192)/18*2/8*3. -8 What is (-4)/3*(9/6)/(-3)? 2/3 Evaluate 9*((-40)/15)/4. -6 What is the value of (-4)/5*((-168)/(-32))/7? -3/5 Evaluate (((-720)
{ "pile_set_name": "DM Mathematics" }
) = 2*u - 9. Let c be w(7). Suppose -h + 2*h + c = 0, -24 = -a + 4*h. What are the prime factors of a? 2 Let s be -3 - -3 - 5*1. Let h be 3/s + (-23)/(-5). Suppose h*i + i = 35. List the prime factors of i. 7 Suppose -u - 3*u = -20. Suppose -4*s - 17 = 5*z - 5, 0 = u*s + 5*z + 10. What are the prime factors of s? 2 Suppose 369 = 3*j - 9. List the prime factors of j. 2, 3, 7 Let c be -3*-1*(0 + 1). Let n be 2/6 + (-84)/(-18). What are the prime factors of (6/n)/(c/20)? 2 Let u(g) = 3*g - 15. What are the prime factors of u(9)? 2, 3 Suppose -2*o + s + 20 = -0*o, 3*o = 3*s + 33. List the prime factors of o. 3 Let l(p) = -p + 4. Let m be l(0). Suppose 11 = -m*n - 13. What are the prime factors of 4/n*(-36)/8? 3 Let b = -14 + 8. Let o be (-7)/((b/(-2))/(-3)). Suppose 11 = -6*t + o*t. List the prime factors of t. 11 Let a be 10/25 - (-104)/(-10). Let j = 16 + a. Suppose -5*d + 19 + j = 0. What are the prime factors of d? 5 Suppose -d - 44 = -2*j - 3*d, -2*j + 64 = -2*d. Suppose 0 = -3*v, -3*o - 17 - 28 = -2*v. Let r = o + j. What are the prime factors of r? 2, 3 Suppose 4*x = x + 303. What are the prime factors of x? 101 Let u(z) = -14*z**2 + 4*z + 8. Let q(t) = -5*t**2 + t + 3. Let b(h) = 8*q(h) - 3*u(h). Let y be b(3). Let m = y + -4. List the prime factors of m. 2 Let h = 73 - 33. List the prime factors of h. 2, 5 Let v(c) = c + 7. Let z be 8/(-12)*(-21)/2. List the prime factors of v(z). 2, 7 Let u be 90/(-12) - (-2)/(-4). Let h = u + 11. List the prime factors of h. 3 Suppose 3*d + 38 = -4*z + 199, -5*z - d = -215. What are the prime factors of z? 2, 11 Let y(w) = -w - 6. Let j be y(-6). Suppose 2*o + 3*o - 60 = j. What are the prime factors of o? 2, 3 Let g(w) = 4*w - 8. Let o be g(9). Let u = 34 - o. What are the prime factors of u? 2, 3 Suppose 38 = u + u. What are the prime factors of u? 19 Let s be (-4)/(-6)*-11*-6. Suppose -5*c + 29 + s = 3*d, 2*d - 5*c - 82 = 0. Suppose -3*k + d = 7. What are the prime factors of k? 2 Let g(j) = j**2 + j - 10. Let l(n) = -4*n**2 - 4*n + 39. Let m(u) = -9*g(u) - 2*l(u). What are the prime factors of m(0)? 2, 3 Let w(s) = s - 10. Let p be w(13). What are the prime factors of -3*(-1)/p*9? 3 Suppose b + 2 = -b. Let d(z) be the second derivative of -2*z**5/5 + z**4/12 - z**2/2 - 4*z. List the prime factors of d(b). 2 Let f be (14/4)/(2/4). Let t(k) = 5*k + 2. List the prime factors of t(f). 37 List the prime factors of (1 + 0)*4 + 18. 2, 11 Suppose -2*i + 4 = 5*n - 9, 4*i = 3*n + 13. Suppose i*a = o + 3 + 8, -4*a + 2*o + 14 = 0. Suppose 3*x + 2 = 2*x, 20 = 4*v + a*x. List the prime factors of v. 2, 3 Suppose 0 = -2*l - 0*l + 10. Let r(p) = -p**2 + 6*p + 4. List the prime factors of r(l). 3 Let y = -66 - -207. What are the prime factors of y/13 - 4/(-26)? 11 Suppose l - 2 = -0, -r + 20 = -5*l. Suppose 5*o - r - 5 = -d, -o + 3 = 0. What are the prime factors of d? 2, 5 Let b(y) = -y**3 - 6*y**2 + y - 5. Let m(g) = -2*g**2 + g. Let j be m(2). Let f be b(j). Let u = 19 + f. What are the prime factors of u? 2 Let d be (-1)/((4/8)/((-81)/6)). Suppose -14 = z + 2. Let l = z + d. What are the prime factors of l? 11 Suppose x + 5*t = 4*t + 7, 4 = 2*t. Let f be 2/(-3) + (-1)/3. List the prime factors of (x/(-2))/(f/2). 5 Let z(q) = -q**3 - 12*q**2 + 13*q + 10. What are the prime factors of z(-13)? 2, 5 Let b(g) = 34*g**2 - g. List the prime factors of b(2). 2, 67 Let t(i) = -12*i - 3. Let x be t(-2). Suppose -d - x = -0*j - 4*j, -5*d + 20 = 5*j. What are the prime factors of -2 - -7 - (d + 0)? 2, 3 Suppose w = 4*w. Suppose -15 = -3*o - w*o. What are the prime factors of o? 5 Let z = -24 + 15. List the prime factors of (2 - 53)/(z/6). 2, 17 Let m(l) = 14*l**2 + 3*l - 5. What are the prime factors of m(2)? 3, 19 Suppose -4*a + 7 = -9. List the prime factors of a. 2 What are the prime factors of (32 + 1 + -4)*4/2? 2, 29 Suppose 2*a = -4*f + 117 + 241, 0 = 3*a - 3. What are the prime factors of f? 89 Suppose 5*l - 15 = -0*l. Suppose 6*c - c = 10, 0 = -n - 2*c + 7. Suppose 20 = 3*y - 2*o + n*o, 20 = y + l*o. What are the prime factors of y? 5 Suppose 4*h - 7 = 9. Suppose 0*i = -2*d - h*i + 18, 5*i - 3 = 4*d. What are the prime factors of d? 3 Suppose 5*w = -4*r - 2, -6 = -5*w + 4*r + 16. Suppose n = -p - 2, w*p + 34 = -3*p + n. Let u = p + 13. What are the prime factors of u? 7 Let h(w) = 5*w**2 + 4*w + 2. List the prime factors of h(-2). 2, 7 Let s = 0 + -1. Suppose -3*j - 4*w = 7, j + 2*w - 11 = 4*w. Let t = j + s. List the prime factors of t. 2 Let f(r) = r**2 - 8*r - 1. Suppose k = -2*k - 5*s + 21, -5*s = 0. Let j be f(k). Let l = j + 18. What are the prime factors of l? 2, 5 Let t(g) be the second derivative of -g**4/12 - g**3/3 - 3*g**2/2 - 2*g. Let w be t(-2). Let u(b) = -3*b - 1. What are the prime factors of u(w)? 2 Suppose -3*a - a + 2*y + 268 = 0, 2*a - 134 = -4*y. Suppose a = 5*l - 38. What are the prime factors of l? 3, 7 Let a = -2 - -1. Let y be 2 - 1 - 2/a. Suppose -y*p = -6*p + 18. What are the prime factors of p? 2, 3 Let k = 0 + -7. Let w be (-4)/(-6) - k/3. Suppose i = 2 + w. What are the prime factors of i? 5 Let k be (-44)/10 - (-6)/15. Let s(h) = h**2 + 2*h - 1. What are the prime factors of s(k)? 7 Let a = -30 + 53. List the prime factors of a. 23 Let y be (-3 - 1) + -1 + -2. Let u = 11 - y. What are the prime factors of u? 2, 3 Let r be (10/(-4) + 1)*2. What are the prime factors of r*(2 + -3) + 3? 2, 3 Let z(j) = -2*j**3 - 2*j**2 - 2*j. Suppose 2*b - 9 = 5*b. Let u be z(b). Suppose -u = -5*p - 3*k, -2*p + 5 = 5*k - 8. What are the prime factors of p? 3 Let v = 83 - 41. Let t = v - 27. List the prime factors of t. 3, 5 Let w(c) = c**2 + 3*c + 4. Let y be w(-4). Let q(m) = m**2 - 8*m + 2. What are the prime factors of q(y)? 2 Let w = 11 - 7. Let b(x) = -4*x + 1 - w - 3*x. List the prime factors of b(-2). 11 Let z(g) = -g**3 - g + 5. Let o be z(0). Suppose 8 = -o*a - 5*x + 83, 0 = -2*x + 6. List the prime factors of a. 2, 3 Suppose -14 = p - 51. What are the prime factors of p + 0 + 8/(-4)? 5, 7 Let l(k) = 8*k + 7. Let n be l(5). Let r = n + -14. What are the prime factors of r? 3, 11 Suppose -t + 7 = z + 4*z, 0 = -5*t + z + 9. Suppose 3*c + 4*j - 35 = 0, -3*c - 2*c + 30 = j. Suppose t*f - 3 = c. List the prime factors of f. 2 Let f = -27 + 50. What are the prime factors of f? 23 Suppose 0*d = 3*d - 27. Let l be (3/d)/(3/279). Suppose -2*y + 3*f = -27, 0 = 4*y - y + 5*f - l. List the prime factors of y. 2, 3 Suppose -2*j + 0 = 4. Let f be -2 - (-3 - j) - -311. What are the prime factors of f/18 + (-6)/27? 17 Let k(p) be the third derivative of p**4/24 - p**3/2 - 4*p**2. Let n be k(7). Suppose -53 - 19 = -n*j - 4*w, -34 = -3*j + 2*w. What are the prime factors of j? 2, 7 Suppose v - 9 - 17 = -j, 0 = -3*v + 4*j + 113. List the prime factors of v. 31 Suppose -8 - 2 = 2*b, -n = -4*b - 131. List the prime factors of n. 3, 37 Let k(x) be the first derivative of -x**4/4 + 7*x**3/3 - 5*x**2/2 + 9*x + 1. What are the prime factors of k(6)? 3, 5 Let c be -4 - (-33)/(-6)*-4. Suppose -16*s = -c*s + 26. List the prime factors of s. 13 Suppose -8*t + t + 1050 = 0. List the prime factors of t. 2, 3, 5 Let s be (-4)/1*3/6. What are the prime factors of 26 + -3 + (-2)/s? 2, 3 Let v(r) = r**3 - 2*r**2 + 2*r - 1. List the prime factors of v(3). 2, 7 Let p(n) = n**2 - n + 41. Let q be p(0). Let z = 74 - q. List the prime factors of z. 3, 11 Let y = -17 + 10. Let n = 3 - y. List the prime factors of 8/10*n/1. 2 Suppose -4*z + 52 = -112. Suppose -r + z = -0*r. List the prime factors of r. 41 Let h = -4 - 0. Let s = h - -7. Suppose -2*m + 4*i + 10 + 8 = 0, s*m - 5*i - 24 = 0. What are the prime factors of m? 3 Suppose a - 81 = 2*q, 2*q + 294 = a + 3*a. What are the prime factors of a? 71 Let i(p) = -p**2 - 15*p + 12. List the prime factors of i(-8). 2, 17 Suppose -4*i = -i - c + 6, 2*i + 18 = -4*c. Let p = 16 + i. What are the prime factors of p? 13 Let z(h) = -h**3 + 2*h**2 + 2*h + 1. Let o be z(-1). Let y be 30/4*o/3. Let n = y + -1. List the prime factors of n. 2 Let g(v) = v**2 - 19*v + 37. What are the prime factors of g(20)? 3, 19 Let x(t) be the second derivative of -t**3/6 + t**2 + t. Let n be (-1)/2*(0 + 0). What are the prime factors of x(n)? 2 Suppose -180 = 4*z + c - 6*c, -5*c = z + 45. Let x = -24 - z. Lis
{ "pile_set_name": "DM Mathematics" }
2? 2276 In base 3, what is 10110112 + -2? 10110110 In base 2, what is -101 + 1100010100001? 1100010011100 In base 8, what is 151 - 3? 146 In base 16, what is 18 - -36? 4e In base 3, what is 110 + 100122? 101002 In base 4, what is 23 - -32? 121 In base 12, what is -37 + 34? -3 In base 14, what is 2 - -6b? 6d In base 14, what is 7 - 10? -7 In base 16, what is 7 - 24? -1d In base 4, what is 10 - -12122? 12132 In base 7, what is 3 + 40? 43 In base 2, what is -111010000 - 0? -111010000 In base 4, what is -13032 - 1031? -20123 In base 10, what is -1 - -425? 424 In base 13, what is 3 + -3? 0 In base 6, what is 5013 + 3? 5020 In base 15, what is -53 - -1a? -38 In base 12, what is -20 - 332? -352 In base 10, what is -1616 - 5? -1621 In base 4, what is 311 + -122? 123 In base 2, what is 11 - -11111111? 100000010 In base 4, what is 3 + -1002? -333 In base 4, what is 10301 + 23? 10330 In base 16, what is 1 - -f5? f6 In base 4, what is 300 - -222? 1122 In base 15, what is 3 + 6? 9 In base 4, what is 2010 - -10? 2020 In base 2, what is 11110100010 + 1000? 11110101010 In base 12, what is -7 + -18? -23 In base 9, what is -1 - 35? -36 In base 10, what is -1 - -9? 8 In base 9, what is 1701 - 5? 1685 In base 9, what is 5 - 304? -288 In base 6, what is -52242 + -3? -52245 In base 8, what is 3 - -234? 237 In base 4, what is -21103 - -1? -21102 In base 9, what is 4 - -6? 11 In base 3, what is 22020012 - -12? 22020101 In base 16, what is 3a + -f? 2b In base 5, what is -11 - 40? -101 In base 4, what is -1 + 1101? 1100 In base 13, what is -3275 - -4? -3271 In base 8, what is -4733 + 1? -4732 In base 4, what is 11021 + -3? 11012 In base 14, what is 0 + -a? -a In base 11, what is -5 - -11? 7 In base 8, what is -324 - -2? -322 In base 2, what is 1100100110 + 10111? 1100111101 In base 12, what is -2b + -4? -33 In base 3, what is -2121000 + 10? -2120220 In base 4, what is -2300 + -3? -2303 In base 10, what is 4 + -16? -12 In base 9, what is 4 - 8180? -8175 In base 11, what is 2 - -286? 288 In base 8, what is -1354 + -2? -1356 In base 2, what is 1000011 + 10? 1000101 In base 5, what is 224 - 1110? -331 In base 5, what is 0 - 14340? -14340 In base 16, what is 3 - -4ba? 4bd In base 15, what is 1 + 3e? 40 In base 7, what is 110 - -220? 330 In base 11, what is 1a - 38? -19 In base 6, what is -5 + 11115? 11110 In base 3, what is -1021220 - -11? -1021202 In base 14, what is -4 - 33? -37 In base 5, what is -23 - -2? -21 In base 7, what is -6 - 1105? -1114 In base 12, what is -3 + 2? -1 In base 13, what is -14 - -6? -b In base 4, what is -1 - 331331? -331332 In base 15, what is e + -246? -237 In base 10, what is 8 + -858? -850 In base 16, what is 5 + -ae7? -ae2 In base 6, what is -4 + 2204? 2200 In base 9, what is 644 - 5? 638 In base 8, what is 3 - -156? 161 In base 10, what is -2512 - -4? -2508 In base 13, what is 0 - -106? 106 In base 3, what is 2021002 - 2? 2021000 In base 16, what is 0 - -54c? 54c In base 15, what is 1 + 50? 51 In base 5, what is -101104 - -2? -101102 In base 2, what is -1001100111 + -110? -1001101101 In base 16, what is -5 - -6d1? 6cc In base 7, what is -3 + -50? -53 In base 7, what is 2510 + 4? 2514 In base 14, what is -28 - 10? -38 In base 13, what is 8 + -5a? -52 In base 3, what is -22 + -1012222? -1020021 In base 2, what is -111101 - 1110100? -10110001 In base 4, what is 302 - -1123? 2031 In base 11, what is 41 + 3? 44 In base 9, what is 14 + -14? 0 In base 2, what is -10000011 - 11011? -10011110 In base 13, what is -413 + -b? -421 In base 16, what is 294c - 3? 2949 In base 6, what is -5521 + -10? -5531 In base 15, what is c6 + 2? c8 In base 9, what is 171 - -12? 183 In base 16, what is -1 - -6? 5 In base 15, what is 5 - -3a2? 3a7 In base 15, what is 3 + -3a? -37 In base 13, what is 1 - -174? 175 In base 14, what is -20 + -7? -27 In base 12, what is 39 + -16? 23 In base 14, what is -1 + 7d9? 7d8 In base 5, what is -413 + 1? -412 In base 10, what is 0 - -24? 24 In base 13, what is 4964 - 3? 4961 In base 14, what is -159 + 2? -157 In base 13, what is -5 - -23? 1b In base 8, what is 2 - 2650? -2646 In base 14, what is -2 + 7c0? 7bc In base 13, what is -5 + -117? -11c In base 7, what is -21 + 2313? 2262 In base 3, what is -1 - 1120122? -1120200 In base 5, what is 414 - -32? 1001 In base 14, what is 2 - -237? 239 In base 16, what is -2 - 16b? -16d In base 14, what is -19 + -18? -33 In base 13, what is -4 + 1? -3 In base 6, what is 5 - -22013? 22022 In base 14, what is -4 + 30? 2a In base 16, what is -5 + a3f? a3a In base 2, what is 111 - 100? 11 In base 9, what is 15 + 23? 38 In base 15, what is -1 - -1a? 19 In base 11, what is -2 - 114? -116 In base 10, what is 89 + 2? 91 In base 14, what is -10 - 66? -76 In base 10, what is 5 + 4? 9 In base 4, what is 302103 + -11? 302032 In base 3, what is 101 + 111? 212 In base 15, what is 19 + c? 26 In base 14, what is 4 + 2340? 2344 In base 13, what is -14 - -3c3? 3ac In base 10, what is 528 + 2? 530 In base 11, what is 137 + 15? 151 In base 8, what is -20541 - -4? -20535 In base 5, what is 234 + 1? 240 In base 2, what is -110101 - 0? -110101 In base 14, what is 99 + 4? 9d In base 2, what is -10111 - 1? -11000 In base 5, what is 2 - -144? 201 In base 5, what is 130 + 102? 232 In base 14, what is 2a3 + 5? 2a8 In base 10, what is 237 - -6? 243 In base 11, what is -33a + 4? -336 In base 3, what is 12121 - 0? 12121 In base 2, what is -10 - -1001111101? 1001111011 In base 11, what is 6 - 1929? -1923 In base 14, what is 5 + -86? -81 In base 14, what is 7da + 5? 801 In base 16, what is -3 - -22? 1f In base 5, what is -3 - 3? -11 In base 8, what is -4 - 7411? -7415 In base 15, what is c17 + 0? c17 In base 15, what is 48 - 7? 41 In base 14, what is -2 + 2? 0 In base 12, what is 0 - -55? 55 In base 3, what is 20121 + -2? 20112 In base 7, what is -2 + 1? -1 In base 5, what is -3 + -23044? -23102 In base 5, what is -132301 - 0? -132301 In base 11, what is -217 - 3? -21a In base 7, what is 213 + 2? 215 In base 12, what is 945 + -1? 944 In base 8, what is 530 + -1? 527 In base 13, what is 2 - -51a? 51c In base 13, what is -3 - -18? 15 In base 2, what is 0 - -100001101011? 100001101011 In base 9, what is 6468 - 4? 6464 In base 11, what is 3 - 5a? -57 In base 16, what is -cb - 2? -cd In base 14, what is 5d6 - 5? 5d1 In base 11, what is -1 + 183? 182 In base 7, what is 4 + 200? 204 In base 8, what is 67 + -2? 65 In base 4, what is -2 - -1111? 1103 In base 2, what is -1111 - 10? -10001 In base 4, what is -11130 + 1? -11123 In base 15, what is 2 - -12? 14 In base 6, what is -50043 - 1? -50044 In base 12, what is b - 3? 8 In base 5, what is 1202 + -10? 1142 In base 6, what is -1004 + 153? -411 In base 15, what is 541 - 4? 53c In base 12, what is 239 + 0? 239 In base 2, what is 1011111011 + 11? 1011111110 In base 5, what is 3 - 1010? -1002 In base 10, what is 366 - -5? 371 In base 7, what is -36 - -53? 14 In base 12, what is 27 + -6? 21 In base 9, what is 334 + 4? 338 In base 11, what is -2908 - 4? -2911 In base 3, what is -2 + 10221? 10212 In base 2, what is 101 - -1001010? 1001111 In base 6, what is -1 + -150? -151 In base 11, what is -90 - -3? -88 In base 7, what is 32415 + 2? 32420 In base 7, what is 1 + 2301? 2302 In base 14, what is 0 + 45? 45 In base 3, what is 122011 - 10? 122001 In base 2, what is -10000 - 0? -10000 In base 6, what is 5005 - 5? 5000 In base 13, what is -1 - -1170? 116c In base 13, what is -55 - 4? -59 In base 13, what is 1c - 1? 1b In base 3, what is 2 - 10020? -10011 In base 14, what is -2572 + 4? -256c In base 5, what is 1112 + 0? 1112 In base 12, what is 1 - 97? -96 In base 2, what is 100111111 + 11? 101000010 In base 7, what is -2 + -350? -352 In base 8, what is 6 + 57? 65 In base 3, what is -1002110 + 1? -1002102 In base 15, what is 0 + -60? -60 In base 9, what is -611 - 2? -613 In base 13, what is -3 - -7? 4 In base 12, what is -2 + 45? 43 In base 16, what is -19 - 9? -22 In base 16, what is 4 + -37? -33 In base 16, what is -3 + 22e? 22b In base 7, what is 60 - 3? 54 In base 9, what is -7 - 30? -37 In base 4, what is -10 - 2? -12 In base 10, what is 327 - 4? 323 In base 6, what is -21 - 154? -215 In base 13, what is -1b - 3? -21 In base 8, what is -3 - 5350? -5353 In base 16, what is -2 + -88? -8a In base
{ "pile_set_name": "DM Mathematics" }
4:55 PM How many minutes are there between 4:16 PM and 6:49 PM? 153 How many minutes are there between 10:32 PM and 5:12 AM? 400 How many minutes are there between 3:42 AM and 9:48 AM? 366 What is 588 minutes before 9:17 PM? 11:29 AM How many minutes are there between 3:41 PM and 6:20 PM? 159 How many minutes are there between 10:58 AM and 4:03 PM? 305 What is 176 minutes before 8:06 PM? 5:10 PM How many minutes are there between 2:05 AM and 1:23 PM? 678 How many minutes are there between 12:08 AM and 7:47 AM? 459 What is 320 minutes after 10:31 PM? 3:51 AM How many minutes are there between 7:29 PM and 10:52 PM? 203 What is 251 minutes before 2:50 AM? 10:39 PM How many minutes are there between 7:18 AM and 6:15 PM? 657 How many minutes are there between 1:54 PM and 3:35 PM? 101 What is 388 minutes before 11:04 AM? 4:36 AM How many minutes are there between 7:16 AM and 11:25 AM? 249 How many minutes are there between 2:05 AM and 6:35 AM? 270 What is 159 minutes before 11:58 AM? 9:19 AM What is 120 minutes before 1:53 AM? 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8:38 PM How many minutes are there between 2:50 AM and 1:45 PM? 655 What is 35 minutes after 11:49 PM? 12:24 AM How many minutes are there between 3:45 AM and 6:30 AM? 165 How many minutes are there between 11:48 PM and 11:18 AM? 690 What is 610 minutes after 6:57 PM? 5:07 AM What is 691 minutes before 11:40 PM? 12:09 PM How many minutes are there between 5:36 PM and 10:19 PM? 283 What is 207 minutes before 9:08 AM? 5:41 AM What is 137 minutes after 7:05 AM? 9:22 AM How many minutes are there between 12:43 PM and 6:36 PM? 353 How many minutes are there between 10:13 AM and 11:16 AM? 63 How many minutes are there between 12:18 AM and 2:01 AM? 103 How many minutes are there between 11:12 AM and 9:39 PM? 627 How many minutes are there between 6:23 PM and 7:40 PM? 77 What is 274 minutes after 3:28 PM? 8:02 PM How many minutes are there between 9:05 AM and 12:34 PM? 209 What is 52 minutes before 3:56 PM? 3:04 PM What is 410 minutes after 4:08 AM? 10:58 AM What is 685 minutes after 8:54 PM? 8:19 AM What is 501 minutes after 3:15 PM? 11:36 PM What is 559 minutes before 2:18 PM? 4:59 AM How many minutes are there between 11:04 PM and 1:40 AM? 156 What is 400 minutes before 4:18 PM? 9:38 AM What is 153 minutes after 3:41 PM? 6:14 PM What is 159 minutes after 12:28 PM? 3:07 PM What is 9 minutes after 11:23 PM? 11:32 PM What is 181 minutes after 6:20 AM? 9:21 AM How many minutes are there between 3:22 PM and 11:15 PM? 473 How many minutes are there between 1:47 AM and 4:39 AM? 172 What is 25 minutes after 10:47 PM? 11:12 PM What is 507 minutes after 2:50 AM? 11:17 AM What is 283 minutes after 8:46 PM? 1:29 AM How many minutes are there between 9:02 AM and 11:21 AM? 139 How many minutes are there between 7:40 PM and 1:17 AM? 337 What is 238 minutes before 12:27 AM? 8:29 PM What is 496 minutes before 6:45 PM? 10:29 AM What is 532 minutes before 12:51 PM? 3:59 AM What is 414 minutes before 6:26 AM? 11:32 PM How many minutes are there between 4:46 AM and 4:56 AM? 10 How many minutes are there between 5:11 PM and 2:01 AM? 530 What is 468 minutes before 2:27 AM? 6:39 PM What is 367 minutes after 3:32 AM? 9:39 AM What is 249 minutes before 9:16 PM? 5:07 PM How many minutes are there between 9:28 AM and 5:49 PM? 501 How many minutes are there between 11:27 PM and 9:11 AM? 584 How many minutes are there between 6:13 AM and 9:36 AM? 203 How many minutes are there between 9:39 AM and 7:55 PM? 616 How many minutes are there between 3:43 PM and 4:23 PM? 40 How many minutes are there between 1:18 AM and 2:06 AM? 48 How many minutes are there between 1:23 AM and 10:15 AM? 532 What is 697 minutes before 4:35 PM? 4:58 AM How many minutes are there between 11:03 AM and 2:32 PM? 209 How many minutes are there between 3:32 AM and 9:48 AM? 376 What is 538 minutes after 9:16 AM? 6:14 PM What is 688 minutes after 6:20 PM? 5:48 AM How many minutes are there between 4:35 AM and 2:05 PM? 570 How many minutes are there between 5:41 PM and 3:51 AM? 610 What is 591 minutes after 6:06 PM? 3:57 AM What is 491 minutes after 1:37 PM? 9:48 PM What is 578 minutes after 7:10 AM? 4:48 PM What is 36 minutes before 10:28 AM? 9:52 AM How many minutes are there between 11:57 AM and 11:06 PM? 669 How many minutes are there between 10:13 PM and 2:33 AM? 260 What is 517 minutes before 9:11 AM? 12:34 AM How many minutes are there between 5:56 AM and 4:27 PM? 631 How many minutes are there between 3:42 PM and 11:52 PM? 490 How many minutes are there between 11:34 PM and 3:05 AM? 211 How many minutes are there between 6:17 PM and 2:04 AM? 467 How many minutes are there between 5:26 AM and 12:10 PM? 404 How many minutes are there between 8:10 PM and 6:30 AM? 620 How many minutes are there between 12:49 AM and 10:48 AM? 599 What is 570 minutes after 8:56 PM? 6:26 AM How many minutes are there between 7:25 AM and 4:44 PM? 559 How many minutes are there between 6:35 AM and 3:03 PM? 508 How many minutes are there between 2:17 AM and 7:58 AM? 341 What is 153 minutes after 2:22 PM? 4:55 PM How many minutes are there between 3:35 AM and 6:04 AM? 149 How many minutes are there between 6:30 AM and 4:53 PM? 623 What is 144 minutes before 5:24 PM? 3:00 PM What is 62 minutes before 4:03 AM? 3:01 AM How many minutes are there between 6:08 AM and 2:58 PM? 530 How many minutes are there between 7:24 AM and 10:53 AM? 209 How many minutes are there between 7:52 AM and 3:15 PM? 443 What is 154 minutes before 1:00 AM? 10:26 PM How many minutes are there between 4:54 AM and 12:22 PM? 448 What is 170 minutes after 8:51 PM? 11:41 PM What is 204 minutes before 4:43 PM? 1:19 PM How many minutes are there between 2:27 PM and 1:43 AM? 676 How many minutes are there between 8:25 AM and 10:08 AM? 103 What is 172 minutes before 2:04 AM? 11:12 PM What is 266 minutes after 4:25 PM? 8:51 PM What is 255 minutes after 7:55 AM? 12:10 PM How many minutes are there between 9:11 AM and 11:36 AM? 145 What is 266 minutes before 4:07 PM? 11:41 AM What is 166 minutes before 9:40 AM? 6:54 AM What is 472 minutes after 12:32 AM? 8:24 AM How many minutes are there between 5:45 PM and 2:48 AM? 543 What is 502 minutes after 1:55 PM? 10:17 PM How many minutes are there between 8:24 PM and 11:16 PM? 172 How many minutes are there between 6:16 AM and 3:48 PM? 572 How many minutes are there between 8:59 AM and 10:27 AM? 88 What is 103 minutes before 1:23 PM? 11:40 AM What is 663 minutes after 10:04 AM? 9:07 PM What is 428 minutes after 1:38 PM? 8:46 PM What is 345 minutes after 6:28 PM? 12:13 AM What is 141 minutes after 3:22 PM? 5:43 PM What is 714 minutes after 1:16 AM? 1:10 PM What is 325 minutes after 5:52 PM? 11:17 PM What is 710 minutes after 1:54 AM? 1:44 PM What is 44 minutes before 5:40 PM? 4:56 PM What is 578 minutes after 1:24 AM? 11:02 AM How many minutes are there between 1:24 AM and 8:24 AM? 420 How many minutes are there between 2:22 AM and 11:08 AM? 526 How many minutes are there between 4:05 PM and 1:21 AM? 556 How many minutes are there between 9:23 AM and 10:07 AM? 44 How many minutes are there between 7:07 AM and 3:12 PM? 485 How many minutes are there between 4:17 AM and 9:48 AM? 331 How many minutes are there
{ "pile_set_name": "DM Mathematics" }
when c is divided by 15. 12 Let d = 1 - -10. What is the remainder when d is divided by 8? 3 Suppose n + 120 = 3*o - 271, 0 = -2*n + 4. What is the remainder when o is divided by 33? 32 Let l be 2/(-10) - 4/(-20). Let m(g) = g + 12. Let f be m(-6). Suppose 4*c + f - 22 = l. Calculate the remainder when c is divided by 2. 0 Suppose 22 = r - 9. What is the remainder when r is divided by 8? 7 What is the remainder when (1 - -12)/((-3)/(-15)) is divided by 22? 21 Suppose -791 + 245 = -3*z + 2*a, 0 = a. Let p = z - -2. What is the remainder when 1/3 + p/6 is divided by 16? 15 Suppose -10*p - 301 = -17*p. What is the remainder when p is divided by 3? 1 Suppose 130*j - 133*j + 24 = 0. Calculate the remainder when 14 is divided by j. 6 Let u(j) = -6*j - 5. Suppose o + 3 = 5*d - 27, -5*d - o = -20. Let s be u(d). Let v = 67 + s. What is the remainder when v is divided by 11? 10 Let r be 4/6*(-18)/(-2). Let c(d) = d**2 - 7*d - 8. Let u be c(8). Let y = r + u. Calculate the remainder when y is divided by 3. 0 Let n = -3 - -6. Calculate the remainder when -1 + 2 + n + 0 is divided by 3. 1 Let k(c) = 3*c - 2. What is the remainder when 37 is divided by k(5)? 11 Let c = -23 + 33. Calculate the remainder when 28 is divided by c. 8 Suppose 2*w = 5*j - 81, 4*w - 76 = -3*j - j. What is the remainder when 33 is divided by j? 16 Suppose 5*k + 8 = 2*d + 4*k, 0 = -3*d + 2*k + 13. Suppose 3*x + d = 0, -2*b = -0*b - x - 25. Let y = 25 - 18. What is the remainder when b is divided by y? 5 Suppose -4*p = -3*q - 31, -5*p + q + q = -30. What is the remainder when 19 is divided by p? 3 Suppose 3*r = 2*r - 2. Let c be r/(-1) + 3/3. Let x(v) = 7*v - 4. Calculate the remainder when x(c) is divided by 9. 8 Let z = -3 - -15. Let k = 101 + -66. What is the remainder when k is divided by z? 11 Suppose 0*i = 2*i - 4. Suppose -i*d + 104 = 2*d. What is the remainder when d is divided by 14? 12 Suppose k = 4*l - 5 - 0, 5*l = 25. What is the remainder when 44 is divided by k? 14 Suppose -2*d - 4 = -0*d. Calculate the remainder when 38 is divided by 18 + 1/((-1)/d). 18 Suppose -63*b + 35 = -62*b. Calculate the remainder when b is divided by 7. 0 Let r(k) = k + 1. Let d be r(-1). Suppose -2 = -n - d*n. Suppose -w + 4*s = -n*w + 49, 3*w = 2*s + 77. Calculate the remainder when w is divided by 15. 14 Let i(h) be the third derivative of h**5/6 - h**4/24 + h**2. What is the remainder when 25 is divided by i(1)? 7 Let q = -2 - -2. Let z = q - 0. Calculate the remainder when 5 is divided by (9/(-3) - z)*-1. 2 Suppose -948 + 268 = -5*v. Suppose -52 = -4*u + v. What is the remainder when u is divided by 13? 8 What is the remainder when ((-3)/(-9))/(3/63) is divided by 2? 1 Suppose 0 = -3*u + 30 + 21. Calculate the remainder when 61 is divided by u. 10 Let o(c) = -3*c - 5. Suppose -5*y + 2*a = -63, -49 = -3*y - 4*a - 6. What is the remainder when y is divided by o(-4)? 6 Let i = -226 + 320. What is the remainder when i is divided by 19? 18 Suppose y - 21 - 15 = 0. Suppose 5*m + 2*w = 75, 0 = -6*m + 9*m + 4*w - 59. Calculate the remainder when y is divided by m. 10 Let c be 3 - 1/(2/(-82)). Suppose 7*n - l = 4*n + c, 0 = -2*l - 10. What is the remainder when n is divided by 8? 5 Let g(b) = -b - 1. Suppose -j = -4*o + 1 + 23, 2*j + o = -3. Calculate the remainder when -2 + (-24)/(-1 + -1) is divided by g(j). 1 Let b(g) = -g**2 - 3*g + 4. Let p be 2 - (0 + -1)*2. Suppose -p = -4*i + 4. Calculate the remainder when b(-3) is divided by i. 0 Let m = -10 + 14. Suppose -3*q = -m*a + 34, 0 - 2 = q. What is the remainder when a is divided by 4? 3 Let q be (2/4 + -1)*0. Let f = 118 + -72. What is the remainder when f is divided by (-1 + q - -15) + 2? 14 Let u(v) be the third derivative of -v**4/3 + v**3/6 + 2*v**2. Let s be u(-3). Let a = -8 + s. Calculate the remainder when 66 is divided by a. 15 Let t = 117 + -81. What is the remainder when 70 is divided by t? 34 What is the remainder when -1*(-22 + 0) + 20 + -19 is divided by 9? 5 Suppose 8*w = -4*w + 288. Suppose -4*m + 121 = -159. What is the remainder when m is divided by w? 22 Suppose -4*i + 0*i = -52. Let z(v) = 2*v - 3. Let x be z(2). Calculate the remainder when x/(-4) - 306/(-8) is divided by i. 12 Let i = -7 + 10. Let a = -22 + 46. Suppose -i*d = -d - a. Calculate the remainder when 35 is divided by d. 11 Suppose -2*a = 3*i - 20, -i + 4*i + 3*a = 18. What is the remainder when 30 is divided by i? 6 Let b(o) = 9*o**3 + 5*o**2 - 2*o - 5. Let c(r) = 5*r**3 + 3*r**2 - r - 2. Let q(v) = -4*b(v) + 7*c(v). What is the remainder when 15 is divided by q(0)? 3 Let n be ((-2)/(-4))/(-1)*-6. Let o = -3 - -15. What is the remainder when 1/n - (-312)/9 is divided by o? 11 Suppose 2 = -g + 13. What is the remainder when 21 is divided by g? 10 Suppose -4*w - 5 = 4*p - 41, 2*p + 12 = 4*w. Let q = p - -6. Let t = -5 + 23. Calculate the remainder when t is divided by q. 8 Let p = -8 + 12. Let r be 4*(-1 + 6/p). What is the remainder when 6 + r + (2 - 0) is divided by 6? 4 Suppose -1 = -5*j + 9. Suppose 0 = -h + d + 2*d + 4, j*h + 4*d = 58. What is the remainder when 75 is divided by h? 18 Let a = 9 + -35. Suppose -3*u + 2*z = -7*u + 6, 4*u = 4*z - 24. Calculate the remainder when (a/2)/(u/2) is divided by 9. 8 Let q(m) be the third derivative of m**6/120 - m**5/15 + m**4/8 + m**3/6 - m**2. Let y = -1 - -9. What is the remainder when q(4) is divided by y? 5 Let g be ((-4)/(-2))/((-1)/42). Let i = -49 - g. What is the remainder when i is divided by 18/(-2 + -4) + 15? 11 Let d(r) = r**3 - 6*r**2 + 5*r + 7. Let k be (-6)/10 + (-56)/(-10). Calculate the remainder when d(k) is divided by 2. 1 Let b(x) = -29*x - 1. Calculate the remainder when b(-2) is divided by 20. 17 Let h be (0 + -13)*(1 + 0). Let y = h - -32. What is the remainder when 37 is divided by y? 18 Suppose -2*w + 39 = 3*a, -w - 2*a + 17 = -3*a. Calculate the remainder when 67 is divided by w. 13 Let y = -7 + 14. Suppose 4*s = l - 28, -2*l - 4*s = -y*l + 108. Calculate the remainder when l is divided by 7. 6 Let c(w) = -2*w. Let r be -1*(0 - 7 - 0). Suppose -2*i - 15 + r = 0. Calculate the remainder when 14 is divided by c(i). 6 Calculate the remainder when 70 is divided by 24/96 - 46/(-8). 4 Suppose 2*g - 9*g + 70 = 0. What is the remainder when 16 is divided by g? 6 Let d = 6 - 1. Suppose -v = d*l - l + 10, 4*v = 2*l - 76. What is the remainder when 16 is divided by v/(-4 - -1) + 0? 4 Let u(a) = 2*a**2 - 10*a - 14. What is the remainder when u(8) is divided by 73/4 - 2/8? 16 Suppose 0*p = -4*p + 56. What is the remainder when p is divided by 3/6 - (-9)/2? 4 Suppose 2*q = 2*d - 32, -3*d + 4*q + 48 = 3*q. Suppose -4*h + 3*a = -a - d, -a = 2*h - 8. What is the remainder when -1*1*(-5 - 5) is divided by h? 2 Suppose 0 = 9*i - 4 - 68. What is the remainder when 13 is divided by i? 5 Let s(a) = a**3 - 2*a**2 - 4. Let v(r) = -3*r + 24. Let n(d) = -d + 6. Let l(w) = 15*n(w) - 4*v(w). Calculate the remainder when l(-5) is divided by s(3). 4 Let o = 23 - 13. Let w = 2 + -9. Let f = w - -11. Calculate the remainder when o is divided by f. 2 Suppose 4*x = 5 + 51. What is the remainder when 26 is divided by x? 12 Suppose 5 = 2*b + g, -5*b = -0*b + 3*g - 14. Let d be ((-72)/(-28))/(b/7). Let x = d + -8. Calculate the remainder when 28 is divided by x. 8 Let c be ((0 - 3) + 5)*7. Suppose 3*a - 24 = -3*s, 5*s - 30 = -a + c. Let h(i) = 2*i**3 - 3*i**2 - 2*i - 4. Calculate the remainder when h(3) is divided by s. 8 Calculate the remainder when 92 - 0 - 3 - 5 is divided by 43. 41 Let j(p) = -2*p**2 - 28*p + 13. What is the remainder when j(-12) is divided by 21? 19 Let u(v) = 14*v**3 - v**2 + v + 3. Let p be u(2). Let t = 164 - p. What is the remainder when t is divided by 13? 12 Let y = -4 + 8. Suppose 2*p + 2*p + 4 = 0, -y*p + 36 = 5*x. What is the remainder when 15 is divided by x? 7 Let b = -1 - -6. Suppose b*a + 3 = 393. Calculate the remainder when a is divided by 20. 18 Let h = -21 - -34. What is the remainder when 34 is divided by h? 8 Let l(t) be the second derivative of t**4/12 + 13*t**3/6 + t**2/2 + 3*t. Let a be l(-6). Let h = a - -63. Calculate the remainder when h is divided by 8. 6 Suppose 0 = -0*p - 2*p - n + 32, 3*p = -5*n + 55. Let d = -3 - -30. Calculate the remainder when d is divided by p. 12 Let
{ "pile_set_name": "DM Mathematics" }
+ a/(-14). Suppose -k*o = 1 - 10. Which is bigger: o or -2/17? o Let y(n) = -n**3 - n**2 + 4*n - 1. Let x be y(-3). Suppose -x*u = 2*u. Suppose u = 4*w - 21 - 7. Is 4 less than or equal to w? True Let c be (-69)/(-138) - (-1 - (-2 - 447/(-1446))). Which is smaller: 0 or c? c Suppose 5*c + s + 730 = 0, 2*c = 10*s - 9*s - 299. Which is bigger: c or 14? 14 Let b = -206 - -209. Let i be (1*b/10)/((-12)/32). Which is bigger: -1 or i? i Suppose 28*y + 178 + 186 = 0. Let g(z) = 10*z + 129. Let t be g(y). Which is bigger: t or 0? 0 Let g(f) be the third derivative of -1/15*f**5 - 7/12*f**4 + f**2 + 2*f**3 + 0 + 0*f + 1/120*f**6. Let s be g(6). Which is smaller: s or -5/48? -5/48 Let r be -2*5/(3 - -217)*-10. Let u(v) = v**2 + 0 - 7*v - 12 - v - 3*v. Let z be u(12). Is z < r? True Let k be (-54)/(-297) - 53252/308. Is -174 <= k? True Let j = 137 - 237. Let l = 0.051 - -99.949. Let p = j + l. Is -43 at most p? True Let b be ((-136)/(-140) + -1)/(2322/(-8055)). Let r = -1/258 + b. Which is smaller: r or 18? r Suppose 4*f + 2*j - 2250 = 0, 15*f - 14*f = -4*j + 552. Let n = f - 563. Is 19/7 at least n? True Let d = -399 + 399. Suppose d = -4*c - 117 - 3. Is -30 less than c? False Let y(c) = c**3 - c**2 - c. Let d be y(2). Suppose -d*p + 0*p = p. Suppose p = -4*i - 3 - 1. Do 24 and i have different values? True Let n = 842.8 + -966. Let x = n + 123. Is -8 < x? True Let b = 29203977 + -59861013/2. Let v = b - -559429631/770. Let h = v - -24/77. Which is smaller: h or 3? h Let n(f) be the first derivative of 2*f**2 - 28*f - 10. Let m be n(9). Suppose 6*k + 4*b - 23 = 5*k, -3*b + 12 = 0. Which is bigger: m or k? m Let r = -179 + 1255/7. Suppose 3*j - 52 = -4*b + 5*j, 0 = -3*b - 3*j + 39. Let s = -20 + b. Is s at least as big as r? False Let k = -108.18 + 108.6. Let h = 0.3 - 0.3. Are h and k non-equal? True Let m = 7820 + -8639. Which is smaller: -2455/3 or m? m Let h(s) = s - 21. Let t be h(14). Let v = -11.9 + 14. Let w = -0.1 + v. Which is bigger: t or w? w Let t(z) = z**3 - 6*z**2 - 12*z - 44. Let p be t(8). Let r(a) = -a**3 - 14*a**2 - 20*a + 47. Let i be r(p). Is 9/85 >= i? True Suppose 92 = 3*k - 4*c, 4*c = -k + c + 22. Let d be ((-4)/(-10))/(k/(-378)). Which is smaller: d or -6? -6 Let p be (-325220)/560 - (2/(-1))/(-8). Which is bigger: p or -585? p Suppose 10*r + 140 = 8*r. Let p = r + 86. Let n be (-4)/2 - 4*-5. Which is smaller: n or p? p Let v = -127 - -129. Let t be (v*6/16)/((-1)/(-56)). Let r = 1584250/37131 - -2/12377. Which is smaller: t or r? t Let r = 24516 + -24460. Are r and 21 unequal? True Let o = 7998 - 7840. Which is bigger: o or 148? o Let d = 0.6 + 6.4. Let l = -245.986 - -246. Let v = l - -0.286. Which is smaller: v or d? v Let o(g) = 7*g**2 + 2*g - 3. Let v be o(2). Let z = -423 + 111. Let j = z - -313. Is j at least v? False Let r = -3/380 - -841/10260. Let k = 17.8 - 22. Let u = k - -4.19. Are u and r equal? False Let y = 3 - 1. Suppose 89*g - 4019 + 904 = 0. Suppose 5*r = -y*r + g. Is 1 less than r? True Let k = -11525 + 11525. Is k < 770? True Let k = -670.243 - 0.757. Let z = 671 + k. Is z at least as big as 589? False Let w be 2/(4/115) + 8/(-16). Let b(n) = -n**3 - 4*n**2 - 3*n - 1. Let j be b(-2). Let r be -5 - j - -2*w/56. Which is greater: 0 or r? r Let m = 1661 - 6747/4. Let d(v) = 2*v**3 + v**2 - v - 27. Let f be d(0). Is m at most f? False Let u(h) = 2*h**2 + 10*h - 8. Let c be u(-6). Let p be (3 - (c + -6)) + -1. Suppose p*b + 29 = 9. Is b less than -6? False Let o be 0 - (-9)/10125*(-1 - -3). Let d = 223/1125 + o. Which is bigger: d or -2.1? d Let m = 16 - 22. Let h(y) = y**3 + 7*y**2 + 4*y + 2. Let k be h(m). Let l be 4/k + 232/(-28). Which is bigger: -9 or l? l Let z(q) = -q**2 - 4*q - 2. Let w be z(-2). Suppose 7*p - w*h = 2*p + 13, 3*p = -h - 1. Let k be ((-16)/(-51))/p + 16/(-24). Is 0 > k? True Let t be (80/(-32))/(25/10). Is t bigger than -9/121? False Let f = -0.2844 + 0.3374. Which is greater: 7.8 or f? 7.8 Let z = -2 - -3. Suppose 5*t - 4*r = -2946, 2*t - 3*r + 6*r + 1160 = 0. Let m be ((-84)/4)/(t/56) + -2. Is m greater than z? False Let f = -123.544 + 123. Let d = f - 424.456. Is d less than 1/2? True Let i be ((-20)/(-15))/(6/549). Let c be 8/i*(32 - 34). Is c at least 1? False Suppose -x + 0*x = -5. Suppose 5*o - x = 20. Suppose 3*w = 18, 2 = -3*g + 5*w - 22. Is g < o? True Let q = 4.99 + -5. Let d = 0.06 + q. Let j(k) = -k**2 + 154*k - 1. Let f be j(0). Which is smaller: d or f? f Suppose -2*l = -5*g + 32, 40*l - g = 36*l - 10. Which is smaller: 2/5889 or l? l Let q be (-2)/((2 - 0) + -23). Let l = -43656 - -435937/10. Let c = 309/5 + l. Which is greater: q or c? q Let a = -2281 + 2280.9. Which is smaller: a or -48.28? -48.28 Let k = 8470 + -1533076/181. Is k at most as big as 1? True Suppose 43*t + 15*t - 60 = 28*t. Which is smaller: t or -30.92? -30.92 Let p be (3/(3/(-4)))/((-1)/(-2)). Let b = -50 - -74. Let w = p + b. Is w smaller than 14? False Suppose 20*y + 296 - 316 = 0. Are y and 2/6903 unequal? True Let l be (-4)/6 + 10/6. Let n be (-3)/(-2) - (l + (-12)/(-8)). Which is smaller: 0.073 or n? n Let i = -34413 + 309133/9. Which is greater: -65 or i? i Suppose -24*w - 9*w = -12*w + 22827. Is w > -1087? False Let l(i) = -2*i**3 + 26*i**2 - 17*i + 23. Let r be l(11). Is 2244/7 not equal to r? True Let r = 295716/13 + -7255399/325. Suppose 818 = -5*m + 2933. Let d = m - r. Which is greater: 0 or d? 0 Suppose -382*q + 438*q + 55328 = 0. Which is smaller: -990 or q? -990 Let k be (-32)/6 + 3 - -2. Let d(z) = -222*z**3 - 2*z**2 + 3. Let r be d(1). Let x be (-204)/r*2/(-4). Are k and x equal? False Suppose 3190 = 5*t - 95*c + 90*c, 7*t = -c + 4426. Which is smaller: t or 3167/5? t Suppose 5*n - 39*s + 17 = -35*s, 5*n = -3*s + 4. Is n <= 1/1503? True Let r be (-510)/12*(-8)/10. Suppose -3*n - 24 = -3*x, -x - 26 = 5*n + 32. Let m(l) = -l**2 - 11*l + 34. Let v be m(n). Is r >= v? True Let s be 1*8/3*(-18)/(-12). Let u = 21 + -21. Let g = 6 + u. Is g greater than or equal to s? True Let p = 1182 + -1182. Let z = 4995 - 8146847/1631. Let o = 8129/21203 - z. Is p at least as big as o? False Let z = 6405 + -2750. Which is bigger: 3656 or z? 3656 Let j = 0.019 - -0.0407. Let l = -0.4403 - j. Is -23 bigger than l? False Let a = -1/305 - 51/3050. Let w(d) = -9*d + 62. Let j be w(7). Is a greater than j? True Let w = -39612758/37015 + 11772/11. Which is bigger: 0 or w? w Suppose 671 = 16*g - 833. Suppose -6*h + 2*h - 235 = 5*z, -2*z + 2*h = g. Are 1/4 and z unequal? True Let v = -162 + -38. Let d = 221 + v. Which is smaller: d or 20? 20 Suppose -3*d = 5*v - 31, -6*v = -3*v - 3*d - 9. Let s(h) = -h**3 + 7*h**2 + 7*h - 7. Let y be s(v). Let p = y + -79. Is -4/5 >= p? True Let q be (11/(-22))/((-10)/284). Let t = -69/5 + q. Suppose -2*l - 2*c = 3*l - 100, 3*c = -2*l + 29. Which is smaller: t or l? t Suppose -211*p + 12716 = -189*p. Is p greater than 577? True Let j be (-1 - -6)*235/5. Suppose 4*b = -5*c + 632, 5*c + j = 4*b - 357. Which is greater: b or 151? b Let b(c) = -129*c + 1406. Let v be b(11). Is -54 not equal to v? True Suppose 5 = -5*z, -2*c - 4*z = c + 127. Let o be (6/(-10))/3 + (-5304)/130. Is c less than o? False Let j = 817 - 535. Suppose 0 = 5*l + 522 - j. Is l at most -93/2? True Let s(n) = n**2 + 38*n + 147. Let b be s(-34). Suppose b*d = 9*d - 10*d. Which is greater: 144 or d? 144 Let y = 1.414 + -1.62. Let t = y + -0.094. Is t equal to -0.37? False Suppose -15*f = -8*f - 28. Let t be -3 + f + 4 - 5. Suppose t = 3*i - i. Which is smaller: -1/5 or i? -1/5 Let y = -24 - -29. Suppose -y*n = -79 + 84. Which is bigger: 2/331 or n? 2/331 Let x = 0.1101 + 27.9899. Let c = -5.1 + -22.9. Let b = c + x. Is b less than -0.1? False Let u = -101 - -148.4. Let i = u + 3.6. Let d = 51.2 - i. Which is smaller: d or -0.2? -0.2 Let l = 1812076/341 - 5314. Let r = -4.33 - -3.33. Which is greater: l or r? l Let i be 304/(-112) + (2 - -1). Let l = 2.5 - 3.7. Let p = 0.86 + l. Is i at most as big as p? False Let c be (-2)/1 - ((-1598337)/61465)/13. Do 1 and c have the same value? False Let p = -8 - -48. Let j be (p/(-1836))/((-10)/(-465)). Let t = j - -21/17. Are 0 and t non-equal? True Suppose -3*n + 187 = 145. Suppose 3*g + 22 = n*g. Let s = -0.007 - 33.993. Which is smaller: s or g? s Let n = 23 - 19. Suppose 3
{ "pile_set_name": "DM Mathematics" }
me? False Let z = 8 + -15. Is (-256 - z)/(-1 - (1 + -1)) a prime number? False Let y(k) = 1821*k**2 + 5*k + 39. Is y(-3) prime? False Let q(k) = k**2 - 10*k + 6. Let l be q(11). Let c = 19 - l. Is (c + -2)/(-3) + 177 composite? True Is ((-148311)/108)/((-3)/4) prime? True Let z(b) be the second derivative of 5*b**4/8 + b**3/3 + b**2/2 - 2*b. Let r(v) be the first derivative of z(v). Is r(5) a prime number? False Suppose -2*g + g = 0. Let x be 3/(g + -1 + 2). Suppose x*k = -5*z + 246, 163 = -k + 3*k + 3*z. Is k a composite number? True Let a be (6/(-30) - 3/10)*-2. Is 5/a + (72 - -32) composite? False Is (0 + 1)/((-17)/(-426139)) a prime number? False Suppose -3*t + 4*x = 40 + 15, -t + 2*x - 17 = 0. Is (7/t)/(-1*2/3798) a prime number? False Suppose z - 5*g + 16210 = 45199, 2*g = -5*z + 144891. Is z prime? True Is 3457/(-5)*1320/(-24) a prime number? False Let g(c) = 3*c**2 - 19*c - 31. Let w(i) = -i**2 + 9*i + 16. Let x(s) = 3*g(s) + 5*w(s). Is x(12) prime? True Suppose 2*n + 0*n = u + 1, -u = 4*n + 1. Suppose n = 4*h + 1 - 21. Suppose 488 = 4*b + 5*t, 7 = h*t + 27. Is b a composite number? False Let r = 16832 + -9829. Is r composite? True Let j = -11504 + 2479. Let o = -6086 - j. Is o a prime number? True Let t(h) = -285*h + 44. Is t(-37) prime? True Let m(y) be the second derivative of y**4/12 - y**3/3 + 3*y**2/2 - y. Suppose -4*x = -v - 19, 5*v = 4*x - 31 - 0. Is m(x) a composite number? False Suppose -18 = -5*o - 2*l, 0 = -o - 2*o + l + 2. Is 7*((-662)/3)/(o/(-3)) a prime number? False Let d be (-5 + 8)*160/(-6). Let l = 258 + d. Is l composite? True Suppose -m = 1, -121 = -k + 4*m - 3*m. Let z = 39 + k. Is z composite? True Let c(l) = -145*l**3 + 2*l**2 + 7*l + 31. Is c(-3) a prime number? True Suppose -x - 16 = -20. Let w = 1 + x. Suppose -3*i = -w*i + 422. Is i a prime number? True Let d(r) = 6*r + 4*r + 5*r**2 - 4*r**2 + 9. Let w be d(-9). Suppose 3*z = 2*c + 2599, w*z - 2*z + 1746 = 2*c. Is z composite? True Let d(t) = -t + 17. Let r be d(13). Let p(u) = -u**2 + 4*u + 4. Let m be p(r). Suppose -m*j + 0*j = -4244. Is j a composite number? False Let b be (2 - 5 - -5547) + -1. Let d = b - 2814. Is d a prime number? True Suppose -p = -3*f + 2, -2*p - f - 14 = -6*p. Suppose -5*m - 5*h + 162 + 713 = 0, -p*h = 5*m - 879. Is m prime? True Let v be (1/2)/(17/170). Let y(h) = 353*h - 11. Is y(v) a prime number? False Suppose 3*i = -i + 1996. Is i a composite number? False Let m be (-3 + (-27)/5)*245. Let i = -587 - m. Suppose -3*s - i = -8*s + a, -5*a - 1160 = -4*s. Is s composite? True Let d be -6*((-7)/2 + 3). Suppose -17 = -4*a + d. Suppose 5*x + a = 1030. Is x a composite number? True Suppose 2*i + 518 = c, 2*i - i = -4*c - 277. Is (-5 - -3)/(6/i) + 0 composite? True Suppose 1145 + 1119 = 4*z + u, -1114 = -2*z - 5*u. Let b = 854 - z. Is b composite? True Let r(t) = 3*t**2 - t + 10. Let x be r(16). Suppose -x = -10*a + 4*a. Is a composite? False Let k be ((-232)/(-5))/((-6)/(-135)). Suppose 0 = -4*m, -f - 2*m + k = 137. Is f a composite number? False Is -5*(11 + 578412/(-45)) composite? True Let x(t) = t**3 - 21*t**2 - 6*t + 27. Let p be x(21). Let h = -10 - p. Is h composite? False Suppose -40*a = -48*a + 56552. Is a a prime number? True Suppose 0 = -o - r + 168, 0*o = -2*o + 5*r + 357. Suppose -o = -4*c + 413. Is c prime? False Let s(q) = 15231*q**2 - 14*q + 14. Is s(1) a prime number? False Suppose 9*n = 112142 - 8471. Is n a prime number? True Suppose -f + 2*z + 12 = 0, -4*f + 8*z = 4*z - 40. Let y(c) = c**3 - 3*c**2 - c + 7. Is y(f) a composite number? True Let x(q) = 13*q + 7 + 4*q**2 + q**3 - 6*q + 2*q**2. Let l be x(-5). Is l + 102 - (-4)/(-2) a prime number? True Suppose -66*g = -78*g + 74268. Is g a composite number? True Suppose 211*r = 220*r - 38574. Is r a composite number? True Suppose 118*g + 232033 = 135*g. Is g a composite number? False Let z be (38/57)/(-2 + 19/9). Is 2 + -6 + z + 527 composite? True Let a(u) = 4*u**2 - 2. Let n be -10*(12/(-8) + 1). Suppose -1 = y - n. Is a(y) prime? False Let x(h) = -h + 24. Let y be x(8). Let d = y - -3083. Is d a prime number? False Is -1 - (0 - 0) - (-4407 - 3) a prime number? True Let c be 595 + 1 - (4 + -6). Let g = 855 - c. Is g prime? True Suppose -3*d + 11*d = 16. Suppose g - u = -d*g + 991, 4*g - 1326 = -u. Is g prime? True Suppose -4*m + 32 = 2*x, 2*m + 0*m = x. Suppose x*q - 933 = 5*q. Is q a prime number? True Let f(s) = -s**3 - 9*s**2 + 2*s - 22. Let n be (-8)/(-10) + 432/(-40). Let t be f(n). Suppose t + 1064 = 6*j. Is j prime? False Let p(i) = 2*i**3 + i**2 - 3*i + 997. Is p(0) a prime number? True Suppose 4*p + 3*j + 2*j = -10, 0 = -5*p + 3*j + 6. Let l be 21 + 6/(p + 2). Is (42/l)/((-2)/(-232)) a composite number? True Suppose 0 = 5*k - 5*o - 4810, 3*k + 0*o - 2886 = o. Let d be (1 + 1)*-223 - 1. Let q = k + d. Is q composite? True Let c(o) = o**3 + 68*o**2 + 188*o - 151. Is c(-64) a prime number? True Suppose 27 - 19 = 2*j. Suppose -j*i + 715 + 521 = 0. Is i a prime number? False Let n be (-8)/(-12)*45/(-6). Let j be (-21)/35*(0 + n). Suppose -5*y - 105 = -j*m - 456, 0 = 5*y + 2*m - 341. Is y composite? True Let o be (-105)/6*228/10. Let q = 1286 + o. Is q prime? True Let n = 8791 + -5502. Suppose 7*f + n = 11556. Is f prime? True Let z(l) = -8*l + 294. Let c be z(37). Suppose 2*k = 8, -3*b - 2*k - 168 = b. Is (-1 + 2)*b/c prime? False Is -593*10/(8/((-20)/5)) a prime number? False Suppose g - 2 = -0. Suppose -f = -2*f - 5*t + 54, 0 = 3*f - g*t - 213. Is f + (-6 - (-2 + -2)) a prime number? True Suppose -l + 69 + 233 = 0. Is l prime? False Suppose -5*d + 72 = -d. Let k = d + -13. Is (7 - k)*382/4 a composite number? False Let a(l) = 11*l - 476 - 11*l + 1363 + l**2. Is a(0) composite? False Let t = -3 - 0. Let j = t - 0. Let a(b) = -13*b**3 + 3*b**2 + b + 2. Is a(j) a composite number? True Let v be (-11)/(-4) - (-11)/44. Suppose v*p - 8*p + 530 = 0. Is p a prime number? False Suppose m + 4*i - 32 = 0, 5*i = 4*m - 9 - 119. Suppose 5*j - z - 90 = 2*z, 2*j = 2*z + m. Suppose 0 = 5*d + j + 4, 4*d = 4*q - 1944. Is q composite? True Is 96524/(-1180)*(-1 - 184) composite? True Let p = 1038 - 575. Let d = 792 - p. Is d composite? True Let k(g) = 156*g + 137*g + 48*g - 14. Is k(3) prime? True Let x(v) = -2*v**3 - 2*v + 2. Let w be x(2). Let u = -16 - w. Suppose 64 = u*s - 38. Is s a prime number? False Suppose 0*m = 3*m - 2*o, -4*m = -3*o + 1. Let i(f) = 11*f**2 - 5*f + 7. Let k(c) = -16*c**2 + 8*c - 11. Let v(w) = 8*i(w) + 5*k(w). Is v(m) a prime number? False Let n(v) = 10*v**2 - 5. Let c be n(2). Let k = c + 27. Is k composite? True Let i = 83 + -50. Let o(y) = 9*y - 4. Is o(i) prime? True Let l(d) be the second derivative of d**5/5 - d**4/4 + 5*d**3/6 + d**2 - d. Let i be l(4). Let x = -141 + i. Is x prime? True Let p = 2170 + 5077. Suppose -p - 965 = -4*d. Is d prime? True Suppose 43*j - 40*j = 33447. Is j a composite number? False Suppose 0 = 4*o + x + 4*x - 1043, -3*o + 787 = -x. Let p = -147 + o. Is p prime? False Let b = -23 + 25. Suppose -2*y - 5*k - 5 = -0, -4*y - 3*k = -11. Suppose -b*g = -5*a + 469 + 90, y*a = -g + 553. Is a prime? False Suppose r - 2*x = -7*x + 742, -5*x - 3068 = -4*r. Suppose -3*n = -r - 243. Is n prime? False Let z(a) = a**3 - 5*a**2 - 16*a + 18. Let q be z(7). Suppose -5*b - 20806 = -q*s + 1227, 27536 = 5*s - b. Is s prime? True Let b = -7359 + 18488. Is b composite? True Let w(z) = 310*z + 15. Is w(4) prime? False Suppose -19*i + 57448 = -17*i. Is 5*(i/60 + 4/(-30)) composite? False Let h = -1135 - -6771. Suppose -5*w - h = -9*w. Is w a composite number? False Let y = 6152 - 1873. Is y a prime number? False Let c be (-3)/1 + (2 - -4). Let u be (110/c)/((-1)/3). Is (34/(-4))/(5/u) a prime number? False Let q(n) = 12*n**2 - 8*n - 3. Let o(j) = j**2 + 2*j - 6. Let i be o(-6). Let g be (-4)/i - (-280)/45. Is q(g) a composite number? True Let v(t) = -t**2 + 1. Let s be v(2). Let z = 146 - s. Is z prime? True Suppose -7*d + 12*d + 1420 = 0. Is (d/8)/(7/(-14)) a composite number? False Let g(k) = -2*k**3 + 5*k + 22. Let d be 14*-2*(-1)/(-4). Is g(d) prime? True Let f = -1428 + -1416. Let b = f + 4798. Is b composite? True Suppose 0 = -o + 4*p - 13, 0 = 5*o - 4*p + 10 + 7. Let h(r) = -955*r**3 - r**2 - 3*r - 2. Is h(o) a composite number? True Supp
{ "pile_set_name": "DM Mathematics" }
- 5*r**2*y + 8*r**2 - 2*r*y**3 - 4037*r*y**2 - 70*r wrt y. 12*r**3*y - 12*r*y - 8074*r Find the third derivative of 806755*l**3 - 674571*l**2 wrt l. 4840530 What is the second derivative of 227282*f**4 - 544954*f? 2727384*f**2 What is the second derivative of 32150*v**5 + 28915*v wrt v? 643000*v**3 Find the third derivative of 4297639*r*y**6 + 1945*r*y**2 - y**2 - 1 wrt y. 515716680*r*y**3 What is the first derivative of i**4 + 1303*i**3 + i**2 - 194126 wrt i? 4*i**3 + 3909*i**2 + 2*i Differentiate -38380*b**4 - 21267. -153520*b**3 Differentiate s**3 + 2*s**2 - 23583*s + 29577. 3*s**2 + 4*s - 23583 Find the first derivative of f*i**3 - 181957*f*i**2 - 3*f*i + f + 5013876*i**3 wrt f. i**3 - 181957*i**2 - 3*i + 1 What is the third derivative of -1072408*k**3 + 4542*k**2 + 3*k + 1 wrt k? -6434448 Differentiate 2*v**3 + 26*v**2 + 123*v + 127976 wrt v. 6*v**2 + 52*v + 123 What is the second derivative of -d*m*o**3 + 321*d*m*o**2 - d*m - 7*d*o**3 - m*o + 61*m - 64*o wrt o? -6*d*m*o + 642*d*m - 42*d*o Find the third derivative of -27879*w**3 - 41813*w**2. -167274 Find the first derivative of k**3*n + 20*k**3 + 34*k**2*n - 2*k + 49*n + 15 wrt n. k**3 + 34*k**2 + 49 What is the second derivative of -147870*c**5 + 146678*c? -2957400*c**3 Find the second derivative of 3081548*g*r**2 + 113*g*r + 2*r + 472 wrt r. 6163096*g Find the third derivative of -80175*x**5 - 97755*x**2. -4810500*x**2 What is the third derivative of -11*x**6 + 1146*x**3 + 187768*x**2 wrt x? -1320*x**3 + 6876 Differentiate 110*b**2*d**2*j*p - b**2*d**2*j + 423*b**2*d*j + 18*b*d*j - 66*d*j*p + 2*d wrt p. 110*b**2*d**2*j - 66*d*j Find the second derivative of 38*q**4 - 18*q**3 + 28*q**2 + 177241*q. 456*q**2 - 108*q + 56 What is the third derivative of -105*a**2*b**3 - 2503*a**2 - 9*a*b**2 - a - 882*b**5 - 4*b**2 wrt b? -630*a**2 - 52920*b**2 Find the third derivative of 56048*z**3 - 61302*z**2 wrt z. 336288 Find the second derivative of -429168*f**3 - 2*f**2 + 814760*f. -2575008*f - 4 What is the first derivative of h*k - 913*h - 10040*k**4 + 2 wrt k? h - 40160*k**3 What is the derivative of -57470*j + 30034? -57470 What is the first derivative of -2*t**3 - 1432*t**2 + 6*t - 106235 wrt t? -6*t**2 - 2864*t + 6 What is the second derivative of -211036*b**2 - 262219*b? -422072 Find the third derivative of -73*f**5 + 380*f**4 - f**2 + f + 14974. -4380*f**2 + 9120*f Differentiate -19949*x + 75150 wrt x. -19949 What is the derivative of -224277*f*g*x - 4*f*g - 537*f + 10*g wrt x? -224277*f*g What is the third derivative of 274363*z**5 - 16*z**2 + 289*z + 3? 16461780*z**2 Find the third derivative of -99442*a**5*l**3 + 4*a**2*l + 25620*a*l**3 wrt a. -5966520*a**2*l**3 What is the second derivative of 45039*l**4 + 137*l + 173 wrt l? 540468*l**2 Find the third derivative of 140*n**6 + 103*n**4 - 3*n**2 + 106*n + 45. 16800*n**3 + 2472*n What is the third derivative of 57649*f**3 - 1302052*f**2 wrt f? 345894 Find the first derivative of 102222*a**2 + 71115. 204444*a What is the third derivative of 2120295*d**4 + 42*d**2 - 5898*d + 2 wrt d? 50887080*d Find the third derivative of 1444489*d*v**3 - 28788*d*v**2 + 20*v**2 wrt v. 8666934*d What is the second derivative of 281*t**3*y**2 - 11*t**2 - 85*t - 4*y**2 + 2*y wrt t? 1686*t*y**2 - 22 What is the derivative of -3*k*z**3 - 2*k*z + 854*k + 410438*z**3 wrt k? -3*z**3 - 2*z + 854 What is the second derivative of -3*y**3 - 204992*y**2 + 1889834*y? -18*y - 409984 Find the second derivative of -47804*i*x**3 + i*x - 1700*i wrt x. -286824*i*x Find the third derivative of 54151*m**3 + 2*m**2 - m - 272 wrt m. 324906 Find the third derivative of t**6 + 2*t**5 - 117453*t**3 - 23632*t**2 + 3. 120*t**3 + 120*t**2 - 704718 What is the second derivative of -125*i**3 - 404*i**2 - 35*i + 273? -750*i - 808 What is the third derivative of 471416*p**5 + 5*p**4 - 2*p**2 - 193*p + 796? 28284960*p**2 + 120*p What is the derivative of -196*r**2*u + r**2 + 87*r*u + 5248*u + 74 wrt r? -392*r*u + 2*r + 87*u Differentiate 78745*h**2*w - 84393*h**2 with respect to w. 78745*h**2 Differentiate -52*s*x**3 + 363*s*x**2 + x**3 - 11*x**2 + 510*x with respect to s. -52*x**3 + 363*x**2 What is the second derivative of -74854*h**4 + 67*h - 93 wrt h? -898248*h**2 What is the second derivative of 2395948*i**3 + 89575*i - 4 wrt i? 14375688*i What is the third derivative of -16*g**4*o**2*z - 65*g**4*z + 2*g**2*o**2 - 11*g**2*o + 733*g**2*z + 2 wrt g? -384*g*o**2*z - 1560*g*z Find the third derivative of 2918*z**6 - 179*z**5 - 745341*z**2. 350160*z**3 - 10740*z**2 What is the third derivative of 7300*o**4 + 19879*o**2? 175200*o What is the second derivative of 1464*c**3*l**2*z**2 + 462*c**3*l**2*z - c**3 - 187*c**2*l**2 - 162*l**2*z**2 wrt z? 2928*c**3*l**2 - 324*l**2 Find the third derivative of -3969750*o**4 - 1305231*o**2. -95274000*o What is the second derivative of -1716455*c*k**2 - 2*c*k + 2*c + 11*k - 2 wrt k? -3432910*c Find the first derivative of 19*b*c + 8024*b + 1170*c**2 wrt c. 19*b + 2340*c What is the first derivative of 7*g*n*s + 8*g*n + g + 35*n*s - 24*n + 343*s + 19 wrt n? 7*g*s + 8*g + 35*s - 24 Find the third derivative of -1190*q**6 + 21*q**4 - 151810*q**2. -142800*q**3 + 504*q Differentiate 16583*g**2 + 32759 with respect to g. 33166*g What is the second derivative of 8*f**2*k**2 + 523419*f**2*k + 7621*f*k**2 - 2*k**2 wrt k? 16*f**2 + 15242*f - 4 Find the second derivative of -565651*m**3 - 7*m**2 + 6780227*m. -3393906*m - 14 What is the second derivative of -8*g**3*j + 14325*g**3*l**2 + 13020*g**3*l - 2*g**2*j*l**2 - l wrt l? 28650*g**3 - 4*g**2*j What is the third derivative of -4*i**4*u + 7*i**3*r**3 + 248*i**3*r*u - 3879*i**2*r**3*u - 2*i**2*r**2 + 6*i*r*u wrt i? -96*i*u + 42*r**3 + 1488*r*u Find the third derivative of -277*a**3*m - 8*a**3 + 1389*a**2*m + a**2 + a*m - a wrt a. -1662*m - 48 What is the second derivative of -39942*b**2 - 104424*b wrt b? -79884 What is the second derivative of -152*v**3 + 152*v**2 - 23772*v? -912*v + 304 Find the second derivative of 3*i**3 - 12516*i**2 + 44688*i. 18*i - 25032 What is the derivative of 1204*c*d*q*s + 8*c*d*q + 7*c*d*s + 9*c - 4*d*q*s + 214*q wrt s? 1204*c*d*q + 7*c*d - 4*d*q Differentiate 1132247*x + 1410374 with respect to x. 1132247 Find the third derivative of q*u**4 + 3*q*u**3*v + 18*q*u**2*v - q*u**2 - 2*u**3*v - 2025*u**3 + 44*u**2*v - 2*v wrt u. 24*q*u + 18*q*v - 12*v - 12150 Find the first derivative of -3*p*r**3 - 1264*p*r**2 + 19*p - 411*r**3 + r**2 - 239*r wrt p. -3*r**3 - 1264*r**2 + 19 What is the derivative of 103480*k*z**3 - 4*z**3 + 7*z**2 + 1186 wrt k? 103480*z**3 Find the first derivative of c**4*u + 795207*c*u - 2994320*u wrt c. 4*c**3*u + 795207*u Differentiate 174432*w - 164530 with respect to w. 174432 What is the third derivative of 120*o**3*q**5 - 1346*o**3*q**4 + 2*o**3*q**2 + 66*o**3 - o**2*q**2 + 2*o**2*q - 34*o*q**2 wrt q? 7200*o**3*q**2 - 32304*o**3*q What is the third derivative of 67082*t**4 - 14*t**2 - 2*t - 155? 1609968*t Differentiate 1213120*z - 1018934 wrt z. 1213120 What is the second derivative of 602870*b**2*p**5 + b**2 - 2*b*p - 3*b - 4*p + 86 wrt p? 12057400*b**2*p**3 What is the derivative of 71*i**4 + 3*i**2*v - 2*i**2 + i - 217347*v wrt i? 284*i**3 + 6*i*v - 4*i + 1 Differentiate 31644*n*p + 3*n - 104883*p with respect to n. 31644*p + 3 What is the second derivative of 56*r**4 + 1538*r**2 + 915871*r? 672*r**2 + 3076 Find the second derivative of -10*j*n**2*z - j*n**2 - 23*j*n*z - 240*n**2*z - 50*n*z wrt n. -20*j*z - 2*j - 480*z Find the second derivative of -22726*c**2 + 2*c + 4057. -45452 What is the derivative of -40961*f**2 + 54162 wrt f? -81922*f What is the second derivative of -207*v**5 + 3*v**3 + 16*v**2 - 48630*v wrt v? -4140*v**3 + 18*v + 32 What is the derivative of 284913*f + 985153? 284913 Find the third derivative of 576872*c**3 - 2638952*c**2 wrt c. 3461232 Find the second derivative of 145*g**3*x**3 + 52*g**2*x**3 - 1386*g*x**3 + g - 2*x**2 wrt g. 870*g*x**3 + 104*x**3 Find the third derivative of -106349*p**4 + 11*p**2 + 6775*p wrt p. -2552376*p Find the third derivative of -48*k**2*o**3*v + 31*k**2*o**3 - 3*k**2*o**2 + 5*k*o**3 + 20*k*o**2*v - 2708*k*o*v wrt o. -288*k**2*v + 186*k**2 + 30*k What is the second derivative of 3*l**5 + 2508*l**3 - 61*l + 1
{ "pile_set_name": "DM Mathematics" }
p*q + 15 = r, -m = 2*q - r - 3*r for q. -4 Let h = -75 - -78. Suppose -6*c - 2753 + 2831 = 0. Solve -17 = 5*w - 2*g, 5*w + c - h = -5*g for w. -3 Let p(c) = -4*c**3 - c - 2. Let t be p(-1). Suppose 4*h = 3*r - 5, h = t*r - 1 - 7. Let i be -3*(-2 - -3) - -3. Solve 2 = z - r, l - z = i for l. 5 Let l = -1 + 4. Suppose -1446 = -15*k + 18*k + 3*u, -5*u - 20 = 0. Let f = k + 488. Solve 5*c + 7 = 3*o, -4*o + 0*o - l*c = f for o. -1 Let q be (-4 - (-5 - -5) - -4)*1. Solve 0 = -o + 4*z - 2*z + 2, q = 4*o + 2*z + 2 for o. 0 Let x(m) = 6*m - 9. Let g(t) = t. Let j(b) = -5*g(b) + x(b). Let w be j(11). Solve 5*v - 5 = -r + 4, -v - 4*r = w for v. 2 Suppose -2*b + 42 = 3*v, -72 + 24 = -3*v - 3*b. Solve 167*y + w = 162*y - 20, 3*w + v = -5*y for y. -5 Let u(q) = -q**3 - 7*q**2 + 3*q + 66. Let s be u(-6). Suppose -6*w + 1 = -3*w - 5*f, 4*w - s = -4*f. Solve -3*r + w*r + 4*d + 18 = 0, 4*r + d - 4 = 0 for r. 2 Suppose -4*a + a + j - 134 = 0, 3*j + 3 = 0. Let k = -25 - a. Let z be (-4)/(-10) + 92/k. Solve 14 = -4*p + 2*g, 14 + 5 = -z*p + 4*g for p. -3 Let t be (-8)/(-30)*410/(-492) + (-200)/(-9). Solve -9 = -3*d, 0 = 25*b - t*b - 5*d + 12 for b. 1 Let y = 33 - 31. Let r be (-46*(1 + 0))/y. Let l = r + 26. Solve l*h = -5*q - 24, 4*h - 3*h + 12 = -3*q for q. -3 Suppose -d - 343 = 4*w, -122 = 5*w + 2*d + 306. Let h = w - -118. Solve 4*k - 2*p = -26, 4*k + 0*p + h = 4*p for k. -5 Suppose -2*x - 4 = 0, -5*q + 3*x + 53 = -x. Suppose 0 = 4*s - 9*s - 5*n + 45, 14 = s + 2*n. Let c = -10 - -13. Solve 5*m + c*v + q = 2*m, 0 = -s*v + 4 for m. -4 Suppose -63 = -b - i, 132 = 2*b + 4*i + i. Suppose 2*l = -3*s + 37, 13*l = 5*s + 17*l - b. Solve 2*c + 4*q = 3*q + s, 2*q - 16 = -2*c for c. 5 Suppose -5*w - 18*w - 9 = -78. Let f = 13 + -8. Solve -4*h + 2*t + 3 = -w, f = 4*h - 3*t for h. 2 Suppose -o - n = -102, 0*o - 96 = -o + 2*n. Suppose 120 = 22*h - o. Solve x = 2*l - 2, l + 4*x + 0*x = h for l. 2 Let z(k) = k**2 + 5*k - 3654. Let h be z(-63). Solve b - 3*w + 0*w + 5 = 0, -4*w + 4 = h for b. -2 Let q = 1115 + -1111. Solve -4*r - 9 = p, 3*p - 6*p = q*r + 3 for p. 3 Suppose 15*p - 14*p = 0. Suppose -3*x + p*x + 105 = 5*z, -5*z + 65 = -5*x. Let d be (182/z - 5) + (-2)/18. Solve -m + j = -d, 2*j - 3 + 23 = 4*m for m. 5 Suppose 2*k = -y + 26, -4*k - 37 + 21 = 0. Solve -5*x + 2*w = 17, 5*x + 9 = -y*w + 38*w for x. -5 Suppose -5*r + 7*r - 4*l = 102, -4*l - 216 = -4*r. Let k = -54 + r. Solve -5*a + k*x - 10 = x, 0 = x for a. -2 Let b = 827 - 805. Suppose 3*y - 4*u - 32 = 0, 2*u + b = -34*y + 37*y. Let l = 13 + -8. Solve -5*x - l = 0, 5*a + y*x = 2*x + 3 for a. 1 Suppose 12*l = 8*l - 2*k + 106, 10*k = 3*l - 91. Let x(i) = -i - 1. Let b be x(-1). Solve -17 = v - 4*p, -4*v - 3*p + 0 + l = b for v. 3 Suppose 2*b = 4*b - 2*u - 4, 3*u + 21 = -2*b. Let a be 165*((50/b)/(-5) + -4). Let c = a + 113. Solve -j = 2*h + c, -h + j + 11 = -j for h. 1 Let h = -366 - -362. Suppose 5*c = -3*u - 78, 4*c + 4*u + 14 + 42 = 0. Let k be (-6)/h*(-48)/c. Solve 16 = k*p + 4*n, 0*n + 5*n - 23 = -2*p for p. -1 Suppose 37 = -4*i - 3*r, 3*r + 31 = -2*i + 4*r. Let l = i + 21. Suppose 4*q - 16 = -q - 3*z, 4*z = -4*q + l. Solve -q*f - 6*g + 25 = -g, 5*f - g - 13 = 0 for f. 3 Suppose -4*j + 2 = -6. Let r be -1 + -4*15/6 + 22. Solve j*t - r = -b, -3*t = b - 1 - 14 for b. 3 Suppose 0 = 11*q - 6*q, 2*y - 4*q + 66 = 0. Let r = y - -35. Solve b + 4*f + 8 = 0, -9*b - r = -6*b + f for b. 0 Let d = -4 - -4. Suppose 106*r = 138*r. Solve d = -i - 2*m - r - 6, -4*i = -5*m - 41 for i. 4 Let n = -48 - -52. Suppose 0*j = -4*j - 20, -4*j = -n*s + 164. Suppose 20 = 41*c - s*c. Solve 0 = 2*f + 2*u - 14, f + f - 18 = -c*u for f. 5 Let c(j) = 38*j - 1024. Let m be c(27). Solve -u - 54*k = -50*k - 11, 0 = -m*u - k + 8 for u. 3 Let i(t) = -5*t**2 - 32*t + 14. Let b be i(-7). Let k be (b - (-70)/7) + 3. Solve 5*s - 4 = 2*w, -2*s - 2*s - k = 3*w for w. -2 Let v be ((-2)/(-1))/(8/36). Suppose -11*y + 72 = 7*y. Solve 3*w - k + v = 0, 0*k = -3*w - y*k - 9 for w. -3 Let g be 6/99 - (-436380)/3465. Solve 0 = 5*a - 3*t + 12, -20 = -g*a + 131*a + 5*t for a. -3 Suppose 343*v = -r + 342*v + 6, 0 = r + 3*v - 10. Solve -13*s = 2*u - 11*s - r, 1 = -u - 2*s for u. 5 Suppose 5*y - 43*y = -7*y - 62. Solve 3*d - y*d = -3, 3*h = -3*d - 24 for h. -5 Let q(j) = 4*j**2 + 197*j - 806. Let b be q(4). Solve -4*k - 4*f - 4 = 0, f - 29 = 3*k - b for k. 4 Let m be 49/7 + -3 + (-8)/4. Let h be (3/12*0)/((-2)/2). Solve 3*u + h*u = 5*s + 7, 4*s - m*u = -6 for s. -2 Let i be (1 - -2)/3*-87. Let m = -82 - i. Let n be m/25 - 2/10. Solve n = -4*q + 2*u + 24, -5*u + 7 = 5*q - 8 for q. 5 Let r = -5 + 25. Suppose 326 = 6*d - 136. Let i be 1*d/15 + 4/(-30). Solve -c - i*l + 5 = -6, -2*c + 4*l - r = 0 for c. -4 Suppose 0 = -5*z + z + 26*z + 1958. Suppose 197 + 151 = -4*b. Let l = b - z. Solve 2*t = -2*a - l*a - 8, 10 = -5*a - 3*t for a. -2 Suppose -47*o - 13*o = 15*o. Solve 4*u = 2*l + 14, 2*u - 8 = 2*l - o*u for l. -1 Let l be (-178)/2759 - (-475)/155. Solve 3*w - 4*f + 0 = -9, -l*f = -3*w - 9 for w. -3 Let y = -17486 - -17493. Solve -2*j + y*m - 2*m - 15 = 0, 0 = -j + m - 3 for j. 0 Let l = -7639 + 7649. Solve 5*f - k + 0*k = -11, -3*f = -4*k + l for f. -2 Let v = -88 + 102. Suppose w + v*b = 9*b + 4, -2*b = -2*w + 8. Solve -w*z + 3*r = -31, -4*r - 1 = -4*z + 35 for z. 4 Suppose 833*s + 216 = 851*s. Solve 3*t - 3*r = s, 0*r - 3*r - 12 = 0 for t. 0 Suppose -33 = 7*b - 61. Solve 37*x + 27 = 42*x - y, 2*y + 24 = b*x for x. 5 Let q be ((-394)/(-10) - -1)/((-82)/410). Let a = q + 204. Let l be 3 + 0 + -3 + 1. Solve -3*w - a*c = -l, 7*w + c = 3*w + 3 for w. 1 Suppose 47*v = 43*v + 20. Suppose 3*z + 4*k - 9 = -0, 2*z = -3*k + v. Solve a + z*m = 2*m - 29, 0 = 2*a + 4*m + 28 for a. -4 Let w(n) = 2*n - 3. Suppose 0 = 10*b - 9 - 81. Let j be w(b). Let r = j - 13. Solve -6 = -2*h - p, -2*p = r*h - 7*p - 18 for h. 4 Suppose 65*x = 11*x + 540. Solve 4*y + 9*v = 11*v + x, y + 3*v - 6 = 0 for y. 3 Suppose -21*m + 835 = -2294. Suppose m = 13*i - 124. Solve p = -5*x + 13, 5*x = -0*p + 3*p + i for x. 3 Suppose -66*h + 134 = 2. Solve 0 = -4*g + 3*b + h*b - 7, 4*g + 4*b + 16 = 0 for g. -3 Let n be 25 - (-408)/(-17) - (0 + -1). Solve -2*p = -4*h + n - 4, -33 = -5*p - 4*h for p. 5 Let h(x) = x**3 - 11*x**2 - 3. Let i be ((-10)/(-20))/((-2)/(-44)). Let p be h(i). Let d = p - -13. Solve -5*c - t + d = 4*t, -5*t + 13 = 2*c for c. -1 Let l = -49 - -39. Let g be (575/l)/5*-2. Let f = g - 19. Solve -f*z - 2*t + 13 = t, 3*t - 11 = -2*z for z. 1 Let j = 106 + -102. Suppose 0 = -3*h + h + j. Let m be h - (-2 - 4/(-2))/1. Solve -2*z = 2*l + 4, 0 = -4*z - m*l - l - 8 for z. -2 Let l = -80 + 81. Let w be 12 + l - 44/(-11). Solve 4*h = 3*b + 13, -5*b - w = h - 3*h for h. 1 Suppose -6*s = -2*j - 36, -2*s + 31 = 3*s - 2*j. Solve -2*v - 14 = 4*r, -4*r = s*v + 8 + 15 for r. -2 Suppose 0 = -130*n - 1 + 314 + 857. Solve n = -2*u + x, 3*u + 3 = -u - 3*x for u. -3 Let k be (-2440)/(-120) - 2/6. Suppose 6 - 17 = 2*a - 3*u, -k = -4*u. Solve a*j + 1 = -h + 6*j, 3 = -h + 2*j for h. -5 Suppose -25*z + 545 = 320. Solve -5*x - 6 = -3*u, 4*x - 3 = 2*u - z for x. -3 Let l be (-20)/14 - -1 - (-31)/(6727/5518). Suppose -5*f + 18 = -2. Suppose -f*k + 36 = 4*h, -3*k = -5*k + h + 9. Solve d = -4*u + 16, k*d + l = u + d for u. 5 Let y(w) = 733*w + 3672. Let r be y(-5). Solve -5*u = -u + 5*k - 19, r*k - 53 = u for u. -4 Suppose 30 = -73450*q + 73460*q. Solve 0 = h + 2*m, 9*h - q*m = 6*h for h. 0 Let v(n) = -n**2 - 13*n - 34. Let k be (-8)/44 + (-84)/22. Let b be -3 + 2*6/k - 2. Let m be v(b). Solve 2*r + 12 = 2*g + m*r, 5*r = g + 8 for g. 2 Suppose -5*q - 3*g - 201 = 0, -q = -g + 21 + 16. Let m(w) = 2*w**2 + 68*w + 25. Let b be m(-33). Let f = q - b. Solve f*s - 16 = -5*i, -9 = -s - 2*s for i. 2 Let p = -488 + 134. Let v = -352 - p. Solve -1 = -v*l - 3*k + 1, 2*l = 2*k - 18 for l. -5 Let i = -476 + 477. Let d(g) = -69*g + 74. Let j be d(i). Solve -4*v - 13 = -j*m + 4*m, 0 = -5*v + 5*m - 20 for v. -3 Let u(s) = -17*s**3 - s + 2. Suppose 2*c = 6*c - 4. Let v be u(c). Let g = -16 - v. Solve -o - 5*n = -23, g*n = -2*o - n + 10 for o. 3 Let u(x) = -x**3 - 41*x**2 + 84*x - 61. Let y be u(-43). Solve -2*i + 7 = -f, 2*i = -3*i + y for f. 3 Let f be ((1 - 2)*-2)/(22*8/176). Solve -11 = 2*d + l - f*l, -8 = 2*d + 2*l for d. -5 Suppose 0 = 3*
{ "pile_set_name": "DM Mathematics" }
he closest to a in f, -9, 5? f Let p = 0.1 - -0.9. Let w = 91 + -458/5. Let s = -132.7 - -128.7. Which is the nearest to 1/2? (a) p (b) w (c) s a Let g = 8.03314 - 0.03314. Which is the closest to g? (a) 1.2 (b) -1 (c) 4 c Let i = -10.9 + -3.1. Let w = -63673 + 63673.1. Which is the closest to 0.1? (a) w (b) i (c) 0.4 a Let v = 0.15529 - 0.25529. What is the closest to v in 8, -2/7, 0.054, -0.1? -0.1 Suppose -i = -2, 5*i - 30 = -0*v + 4*v. Let p = -3.364 + 3.334. Which is the closest to 2? (a) 2/13 (b) p (c) v a Let i = 43 + -46. Let r = -4160 - -37442/9. Which is the nearest to -1? (a) -3/11 (b) i (c) r a Suppose 17*h - 150 + 99 = 0. Which is the closest to 1/29? (a) 13 (b) -1 (c) -2/5 (d) h c Let o = -13331.9 - -13331. Which is the nearest to -2/5? (a) o (b) 0.29 (c) 2/3 a Let i = -80.2 + -7.8. Let h = i + 88.1. Let q = -0.5 - -0.52. Which is the nearest to 0? (a) h (b) q (c) -1 b Let q be 0 + 9/6 + -1. Let j be (-1)/(3/(-36)) + 3. Let f be ((-6)/j)/((-112)/(-35)). Which is the nearest to q? (a) f (b) 14 (c) -0.5 a Suppose -3*s - p + 12 = -4*p, 24 = -4*s - 4*p. Let x = 53.8185 - 0.8485. Let y = x - 53. What is the nearest to y in s, 0, -5? 0 Let l be (-42)/10 - 29253/(-6965). Let s = 13/84 - 1/84. Which is the nearest to -3/8? (a) -2 (b) -0.1 (c) s (d) l b Let q = -0.079848 + -0.120152. Let i = 27 + -28.3. Let y = -8.3 - i. Which is the closest to q? (a) -3/5 (b) y (c) 5 a Let z = -3.253 - -3.153. Let w = -17.7 - 8. Let n = w + 26. What is the nearest to z in 2, 1/10, n? 1/10 Let m be 2/27 + (-1287)/5346. What is the closest to 2 in 2/31, m, 2/11? 2/11 Let p = 0.5376 - 0.0376. What is the nearest to 5 in p, 0.3, 59, -0.1? p Let u be (-423)/(-188) - (-2 - (-19)/4). Let z = -2 - -2.3. What is the closest to -1/4 in 1/8, u, z? u Let p = 29.8 + 0.2. Let w = -35 + p. Which is the nearest to -1? (a) 0.18 (b) w (c) 1 a Let v = 28440 + -28433. Let o = -3 - -5. What is the closest to v in o, 3/4, 0.4? o Let r = -2.93 + -0.07. Let n = -52 - r. Let o = n - -51. What is the closest to 2 in 1, 0.4, o? o Let j be 240/240 + (-6)/(-9). Which is the nearest to -1? (a) -3/7 (b) 30/7 (c) j a Let i = 8623/2 + -4311. Let d = 17 - 17.3. Which is the nearest to i? (a) -5 (b) d (c) -17 b Let l = -1486 + 1487. Let q = -1.2 + 1. Let w = -0.3 - q. What is the closest to l in w, 1, 0.04? 1 Let q = 707 + -707.1. Let u(f) = -f**3 + 4*f**2 + 5*f + 2. Let z be u(5). Let h(l) = 3*l**2 - 2*l - 3. Let n be h(z). What is the closest to 1 in q, n, -0.3? q Suppose -56*w = 114*w - 345 - 165. What is the closest to -2 in 0, w, 0.2, -19? 0 Let s = 16699 + -16692. What is the nearest to s in 0.5, -12, 0, 0.3? 0.5 Let g be (-130)/(-40)*-2 - 2/(12/3). What is the closest to 0 in -1, g, -3, 17? -1 Let m = -83.8 - -57.8. Let z be (3 - (-56)/(-20))*-2. Which is the nearest to z? (a) 3 (b) -5 (c) m a Let b = -3.182 + 2.982. What is the closest to 4 in -5, -0.1, b, 1/3? 1/3 Let n = -0.061 - 32.939. Let q = 32.989 + n. Let h = q + 0.011. Which is the nearest to h? (a) 0.3 (b) -0.1 (c) -0.2 b Let y = -0.6 + -3.4. Suppose j + 31 - 5 = 4*z, 5*j = 5*z - 55. What is the nearest to -1/2 in j, 2, 0, y? 0 Let p = 339 - 329. Which is the closest to 1? (a) 0 (b) p (c) 2/7 (d) -3 c Let w be (-35)/(-60) - 90/72. Which is the closest to 2/3? (a) -3 (b) 2/4571 (c) w b Let z = 14 - 17. Let m = 4.13833 - 0.13833. What is the nearest to -1 in m, -4, z, 0.5? 0.5 Let m = -27.1 - -26.9. Let u = 85.2 + -98. Let i = u - -13. Which is the closest to 0.1? (a) m (b) i (c) 0.13 c Let d = 253392.2 - 253392. Let x = -24 + 6. Which is the closest to x? (a) d (b) 4 (c) 2 a Let u be 6/18*(-36)/(-60). Let q = 190 + -190. Which is the nearest to q? (a) 2/7 (b) u (c) 20 b Let w = -411.91 + 367. Let n = w - -45. Let i = 3.91 + n. What is the closest to -2/9 in -0.2, -4/3, i? -0.2 Let m be ((-4)/40)/(6/(-24)). Let i = 13 + -7. Suppose 10 = 4*f - i. Which is the nearest to 2/25? (a) f (b) m (c) 3 b Let z = 360.1 + -360.13. Which is the nearest to 1.4? (a) 4 (b) z (c) 5 b Let k = 0.246 + -0.746. Which is the nearest to k? (a) -4 (b) 0.5 (c) -5 (d) 0.029 d Let x = 70.255 - 70.305. Suppose 3*s - 20 = -2*s, 3*c - 2*s = -11. What is the closest to 1 in x, 5, c? x Let z = -0.1635 + 0.4635. Which is the closest to -4/5? (a) z (b) -4 (c) 3/13 (d) 0.5 c Let u = 126 + -166. Let h = -24.9 - u. Let v = -11.1 + h. Which is the nearest to 0.1? (a) 5 (b) v (c) 0 c Let f = 519 + -520. Let s = 796 - 791. What is the nearest to f in s, 2/7, 2/5? 2/7 Let s = 2.3 - 2. Let a = -3.17 + 2.17. Let c = 31 - 187/6. What is the nearest to a in c, s, 0? c Let r = -280.68964 - 0.01036. Let w = -281 - r. Which is the closest to -13? (a) w (b) -4 (c) -5 c Let t = -9.12 + 8.9. Let o = t + 0.42. Let p = 0.6 + 3.4. Which is the nearest to 0.2? (a) o (b) 0.5 (c) p a Let n = 3.59 + -3.79. Suppose 3*f = -7*y + 10*y + 6, -2*f = 2*y + 4. What is the nearest to f in -2, -0.18, n, -1/2? -0.18 Let g = -18 - 16. Let v = 31.8 - -7.2. Let y = g + v. What is the closest to 0.1 in y, 12, -4? -4 Suppose -36 = -2*u - x, -2 = -u - 2*x + 10. Suppose s + 3*s + u = 0. Suppose 4*q - 8 + 0 = 0, -5*z + 2*q = 9. What is the nearest to 1 in z, s, 4? z Let u = -512 + 516. Let s = -702 + 698. Which is the closest to 4? (a) s (b) 3 (c) u c Suppose 93 - 39 = 2*t. Let v be 30/(-20)*(-12)/t. Let n(u) = u**3 - 4*u**2 + 3*u. Let h be n(3). What is the nearest to 0 in 0.5, v, h? h Let z = -672 + 622. Let p be 9/(-21) - z/182. Which is the closest to -1? (a) 7/2 (b) 5 (c) p (d) 0 c Let i be (1/2)/(-6 + 4). Let m = -11.1 - -155.1. Let w = -141 + m. Which is the nearest to 1? (a) w (b) 4 (c) i c Let s be -4 + 70/20 + 0/(-1). Which is the nearest to 0? (a) -0.1 (b) s (c) -720 a Let j = 3.69 - 4.19. Let q be (7/(-2))/1 - (-29 + 26). Which is the closest to q? (a) 0.4 (b) -8 (c) j c Let d = -0.4 + 0.1. Let h = 2 - 3. Let k = 1264.7 + -1264.8. What is the closest to h in d, k, -0.6? -0.6 Let f = 3/2 - 19/10. Let v = 18979 - 18981. Which is the closest to v? (a) 3 (b) 0 (c) f (d) 4 c Let h = -4269 + 4269. Which is the closest to -0.03? (a) 2/5 (b) h (c) -1 b Let l(s) = -s**3 + 3*s**2 + 4*s - 8. Let h be l(4). Let p be ((-30)/h)/5 - 2/24. Let m = -12 - -47/4. Which is the nearest to m? (a) p (b) 0.4 (c) -1/3 c Let r(l) = l - 9. Let f(k) = k. Let h(o) = 4*f(o) + r(o). Let g be h(-4). Let d = g - -201/7. Which is the nearest to -2/7? (a) 0 (b) 0.06 (c) d c Let v = 3 + -3. Let o = 0.024 - -0.176. Let i be 2/5 + 612/(-630). Which is the closest to 5? (a) o (b) v (c) i a Let t = 0.2 + -1.2. Let i(b) = -19*b - 60. Let k be i(-3). What is the nearest to t in 5, 3/2, k? k Let r = -6 + 6.01. Let q = 52.55 - 49.55. Which is the nearest to r? (a) 3/4 (b) 0.5 (c) q b Suppose 5*o + 736 = -179*o. Which is the closest to 422? (a) -0.1 (b) 0.1 (c) o (d) -5 b Let n(t) = 2*t**2 - 11*t - 16. Let q be n(7). Let j = 1427.4 - 1427. Which is the nearest to -0.3? (a) q (b) j (c) 0.02 (d) -5 c Let f be 116/(-30) - -10 - (-1 - -7). Which is the nearest to -3? (a) -2/11 (b) f (c) 3 a Let u = 30388 + -30395. What is the nearest to -0.1 in u, 0.5, -17, -5? 0.5 Let p = 28 - 20. Let h = p - 3. Let l = 19097.5 + -19097. Which is the closest to 0? (a) -4 (b) l (c) h b Let d = -2.05 - -2. Let b = -2.95 + d. Let j = -134148 - -134147. What is the nearest to j in b, 3, 3/2? b Let c = -6604 - -6605. What is the nearest to c in 112, 0, 5? 0 Let k be (-96)/(-12) - 9/1. Let p be ((-2)/(-78))/((-20)/30). What is the closest to 0.2 in k, p, -0.5? p Suppose f + 35*f = -13*f - 49. Let l = -0.65 + -0.05. Let i = l + 0.3. Which is the closest to f? (a) i (b) -1/6 (c) 0.03 a Let d be 234/(-182) + 4/14. Let n be 68/(-440) + (d - (-12)/10). What is the closest to 0.1 in n, 1/2, -2? n Let k be (40/(-70))/((-3)/21). Suppose u = -4*p - k, 4 = -u + 3*p + 7. Which is the closest to u? (a) -4 (b) 0.1 (c) -2/5 b Let b be (3/(-2))/(48/(-64)). Let w be b/24*-3*5/1. What is the nearest to w in -0.06, 5, 3/5? -0.06 Let s = 0.9019 + -0.9219. What is the closest to -47 in s, 3, -3? -3 Let n = -219.4 - -225.6. What is the closest to 0.1 in 1, n, 11? 1 Let y = -3981 - -3966.1. What is the nearest to y in 3, -0.3, 0.2?
{ "pile_set_name": "DM Mathematics" }
-100001010000001010110001 (base 2) to base 16. -8502b1 Convert -276c75 (base 13) to base 15. -13dbe9 Convert -149e7a (base 15) to base 13. -28b181 -123212122 (base 4) to base 13 -3c5c2 Convert -2521030 (base 6) to base 14. -372c2 What is 15135605 (base 7) in base 6? 50452312 What is -100110101100000110 (base 2) in base 13? -57190 Convert -10010100010011011 (base 2) to base 14. -1d959 Convert 4794905 (base 10) to base 2. 10010010010101000011001 -1303111122 (base 4) to base 10 -472410 -1100331 (base 7) to base 4 -200313201 What is -ed73d (base 16) in base 8? -3553475 What is a2a551 (base 11) in base 7? 20025316 Convert -2200010222 (base 3) to base 12. -2652b Convert -6a86 (base 12) to base 4. -2322012 4341555 (base 6) to base 11 137a60 -1c5436 (base 13) to base 4 -2301023203 What is 4ac5c (base 16) in base 4? 1022301130 Convert -125244561 (base 7) to base 12. -283b816 Convert 221a2 (base 16) to base 12. 68a02 What is 55155225 (base 6) in base 11? a26502 Convert 158528 (base 11) to base 12. ba117 Convert -111021220001 (base 3) to base 2. -111111110111111111 Convert -4211763 (base 9) to base 16. -225c00 Convert 313201322 (base 4) to base 11. 145983 Convert -1034030341 (base 5) to base 15. -2e73b6 -125545560 (base 7) to base 6 -445304233 Convert -30ee9 (base 16) to base 14. -53081 Convert 102234204 (base 5) to base 13. 120c87 -1020001212010 (base 3) to base 14 -12d2c4 Convert -1200120100221 (base 3) to base 2. -11011010111110101010 Convert -250323 (base 8) to base 16. -150d3 -103102123 (base 4) to base 2 -10011010010011011 -102414043 (base 5) to base 7 -3462514 Convert 3875985 (base 10) to base 8. 16622221 What is -a7b8c (base 14) in base 12? -176900 What is -393140 (base 11) in base 8? -2271110 -8bb77e (base 15) to base 5 -3201430234 What is -10666141 (base 7) in base 8? -3455577 What is 11100011101110000101101 (base 2) in base 13? 171355b -10a35 (base 16) to base 9 -113431 Convert 66102011 (base 7) to base 14. a76541 What is -1001001011110110101100 (base 2) in base 12? -981524 Convert 125125143 (base 6) to base 5. 1113444104 Convert 302013131311 (base 4) to base 11. 7463678 What is -216322 (base 8) in base 11? -4a866 Convert 66601623 (base 7) to base 3. 101211001122220 -11001010101011000110 (base 2) to base 4 -3022223012 2132402410 (base 5) to base 12 1647937 What is -774ba (base 16) in base 4? -1313102322 Convert 582d8a (base 14) to base 6. 144222114 What is 64287 (base 12) in base 2? 100000001010000111 -2928 (base 13) to base 7 -23226 What is -29ad6 (base 16) in base 2? -101001101011010110 101011110000110010 (base 2) to base 12 87896 Convert -91445 (base 14) to base 7. -2653315 -1245266 (base 9) to base 2 -10100101111011100010 Convert 11311201 (base 5) to base 15. 20bd6 Convert -30322330132 (base 4) to base 3. -20101002022121 What is -806377 (base 9) in base 10? -477079 What is 1200110220210 (base 3) in base 2? 11011010100010110000 Convert -94 (base 15) to base 11. -117 Convert -1102010010110 (base 3) to base 9. -1363113 96594 (base 11) to base 10 140463 What is -2021202220210 (base 3) in base 8? -4506650 What is -1000100100110 (base 2) in base 4? -1010212 3002422243 (base 5) to base 4 112201210322 -31212213 (base 4) to base 9 -84380 Convert -61954 (base 13) to base 4. -222300301 1001110010100011001 (base 2) to base 3 121022001020 Convert 11b561 (base 13) to base 8. 1475761 Convert -26899c (base 13) to base 6. -32000134 What is -13a85 (base 13) in base 12? -19473 Convert -2311773 (base 8) to base 3. -1011220001102 -2572706 (base 8) to base 7 -6051051 Convert -840a02 (base 11) to base 9. -2474322 What is 2bac2 (base 13) in base 15? 19977 Convert -13222400 (base 5) to base 3. -20202020101 What is 1001312302 (base 4) in base 5? 32112441 500345 (base 8) to base 10 164069 -1001110011011010 (base 2) to base 4 -21303122 -551678 (base 9) to base 8 -1203170 Convert 311331030 (base 4) to base 10. 221004 What is 10101010110010111 (base 2) in base 11? 5a778 Convert 13bd52 (base 14) to base 15. d8351 -14333023 (base 6) to base 7 -4126341 Convert 470564 (base 11) to base 15. eb696 What is 1944b8 (base 13) in base 5? 130403312 What is -1271200 (base 11) in base 10? -2197723 Convert -775a4 (base 13) to base 8. -646335 What is -10031402434 (base 5) in base 14? -14909b0 -64506 (base 11) to base 8 -267125 7112 (base 9) to base 3 21010102 What is 3f582b (base 16) in base 11? 2385a65 -29a18 (base 13) to base 10 -78606 What is -29146 (base 13) in base 2? -10010110101000010 725047 (base 8) to base 6 5051515 Convert -1332200101 (base 4) to base 2. -1111110100000010001 -a03665 (base 15) to base 4 -131000301020 Convert 141444222 (base 5) to base 10. 734312 Convert -23970a (base 11) to base 4. -1130133231 What is 35446060 (base 7) in base 6? 151130514 20712 (base 13) to base 5 3331240 Convert -43230224 (base 5) to base 4. -1121233030 13101312112 (base 4) to base 6 104521514 Convert -20332301 (base 6) to base 9. -1085061 -4213345 (base 6) to base 2 -110001110111100001 What is -11142 (base 8) in base 5? -122311 What is 6e3c72 (base 15) in base 8? 24104354 Convert 1863108 (base 9) to base 7. 11613014 Convert -11011301202 (base 4) to base 16. -145c62 -125106015 (base 7) to base 3 -120002102000100 Convert -11100001010111110110101 (base 2) to base 4. -130022332311 What is -315570 (base 13) in base 4? -10121310321 -4a3aa (base 12) to base 15 -1ece1 Convert 350000 (base 10) to base 15. 6da85 Convert -4679 (base 13) to base 7. -40604 What is 10100001101010000111 (base 2) in base 15? d12d6 Convert 30200 (base 15) to base 16. 25305 1117227 (base 8) to base 3 120101021201 3a6784 (base 12) to base 11 5aa2a5 210211112001000 (base 3) to base 5 10432303040 What is 2232023310 (base 4) in base 15? e15e0 What is 1103003001 (base 4) in base 3? 122021121120 Convert 15885 (base 16) to base 3. 11110222120 Convert -203433 (base 6) to base 8. -37755 Convert -6425aa (base 11) to base 8. -3730241 -5f1fe5 (base 16) to base 5 -3043442320 Convert 221131303 (base 5) to base 4. 3221331320 Convert 765665 (base 9) to base 3. 212012202012 Convert ee4835 (base 16) to base 8. 73444065 What is -14a730 (base 15) in base 8? -3633575 Convert 77859 (base 10) to base 12. 39083 2820a50 (base 13) to base 2 110000011000011001010111 What is 10121001202 (base 3) in base 13? 26291 -210001102 (base 5) to base 2 -11010001110110000111 What is 125401213 (base 6) in base 14? 492853 What is -107b8 (base 14) in base 11? -28019 What is -229606 (base 10) in base 2? -111000000011100110 What is 31a827 (base 13) in base 4? 10130213203 What is 2022211101220 (base 3) in base 10? 1236678 Convert -1107d9 (base 14) to base 2. -10001101000100001011 2042225 (base 6) to base 2 11000001011001001 What is -1110001001011110110 (base 2) in base 7? -3640423 What is 447837 (base 12) in base 9? 2043307 What is 6380687 (base 9) in base 13? 9291b2 Convert -34807 (base 13) to base 5. -11031310 Convert -3421065 (base 9) to base 12. -74b465 Convert a1321 (base 11) to base 10. 148127 What is -3aa7 (base 14) in base 12? -5b97 11555651 (base 7) to base 5 231224102 60997 (base 13) to base 12 84157 What is 17081681 (base 9) in base 13? 1a07a1b What is -f3725 (base 16) in base 11? -6211a7 What is 3114a84 (base 12) in base 2? 100011001110111000000100 -162028 (base 14) to base 2 -10111100111011010100 What is -10200122011012 (base 3) in base 10? -1961123 -30233264 (base 7) to base 3 -11201122122222 1a53a8 (base 12) to base 11 298724 Convert -1113231332 (base 4) to base 3. -200020212012 Convert -c04a6 (base 13) to base 7. -2630405 -156034 (base 10) to base 8 -460602 3b7b48 (base 12) to base 14 1ba26c -785735 (base 9) to base 10 -470075 -2ed9b (base 15) to base 11 -a3972 12112002020 (base 3) to base 6 2155053 What is -121011010102 (base 3) in base 6? -10451532 33cc5ba (base 13) to base 12 541a7a8 Convert 1a86b9 (base 14) to base 9. 1700605 Convert 1101352 (base 7) to base 12. 66147 Convert 3a5057c (base 13) to base 4. 1011330311112 -1406883 (base 10) to base 16 -1577a3 -1211000010010 (base 3) to base 4 -3223133013 Convert -5320066 (base 9) to base 14. -541a34 Convert 221010022012112 (base 3) to base 14. 1ab778b -a795c5 (base 13) to base 12 -13984b0 110001002000122 (base 3) to base 10 6398450 What is -6abd (base 16) in base 14? -9d5b Convert -9086e (base 15
{ "pile_set_name": "DM Mathematics" }
t for q. -1 Suppose -12 = 2*i + 4*y, -3*i + 2*y = -8*i + 10. Suppose -1593*l + i = -1592*l. Solve -5*k - 13 = l*b, -2*k - 5*b = -0*b + 12 for k. -1 Let d(a) = a**2 + 8*a + 18. Let o = -62 + 72. Suppose -p - o = p. Let z be d(p). Solve -s - z*s = -5*h - 3, -5*h - 4*s = 27 for h. -3 Suppose 4*k = -20 + 4. Let h be k*(-108)/16 - -5. Solve p + 3*p - 2*x + 14 = 0, -h = 4*p + 4*x for p. -5 Suppose 27*x - 71 - 36 = 1. Solve -5*t + 5*y + x = 29, -10 = 2*t - 3*y for t. -5 Let z(f) = -51*f + 218. Let d be z(4). Solve 3*l = -3*m - 15 - 6, 5*m - 2*l = -d for m. -4 Suppose -5*z = -4*a + 35, -a - a - z = -7. Solve a = -n + 2*r, 37*n - 32*n + 2*r - 35 = 0 for n. 5 Let q = 383 + -704. Let p = 325 + q. Solve -2*f + 5*k = -19, p*k + k = 3*f - 21 for f. 2 Let u(n) = 0 - 9*n**2 + 3*n**2 + 15*n + n**3 + 23*n**2 - 9*n**2 + 16. Let w be u(-5). Solve c - w = -3*o - 7, 4*c = 2*o - 6 for c. 0 Let a be 7*(-6)/(-210) - 24/(-5). Suppose -2*r - 1 = -2*l - 11, a*l + 25 = 2*r. Solve 4*u + r*p - p - 7 = 0, -5*p - 15 = 0 for u. 1 Let h = 4681 + -4679. Solve 18 = 4*x - h*k, 0 = -5*x + k + 79 - 58 for x. 4 Suppose -4*t + 5*o + 747 = 0, -3*o - 9 = -0. Let r = t - 179. Solve -2*f = 2*f + 16, r*h - 3*f = 28 for h. 4 Let b = -798 - -809. Solve 7*k - b*k = -4*t + 20, -t - 3*k = 11 for t. 1 Let c = 2140 - 2140. Solve -4*l - 10 = -2*p, 3*l + 9 = 3*p - c*p for p. 1 Let y = -5344 + 5348. Solve -3*f + 17 = 4*g, -f = 3*f - y*g - 4 for f. 3 Suppose 6 = 11*n - 8*n. Suppose 4*g = -20, 70 = -5*m - 0*g + g. Let o be (-5)/2*(2 - (-48)/m). Solve -4*p - 9 = -5*y - n, 8 = -o*p + y for p. -3 Let n = 9936 + -9931. Solve 7 = -i + 2*u + 3, 5*u - n = 0 for i. -2 Let f(g) = -g**2 + 9*g + 11. Let o be f(9). Let x be 606/24*4/1. Let s = -97 + x. Solve 0*y = y + 5*b - o, -s*y + b = -2 for y. 1 Suppose b - z = 4, 3*b = b - 4*z - 4. Suppose -b = -122*f + 121*f. Solve 0 = 5*p - 4*h, -p - f*h = 2*p for p. 0 Let t(s) = 8*s - 79. Let n be t(-23). Let k = n + 264. Solve 0 = 4*x + y + 17, -y - k = x - 4*y for x. -4 Let l be (-20 + 1)*17/(-119)*7. Suppose -r + 4*r + 42 = 0. Let j = r + l. Solve -4*i - 32 = -4*k, -25 = j*i - 3*k + 7 for i. -4 Let z(c) = -3*c - 59. Let i be z(-25). Solve -16*l - 8 = -s - 11*l, 5*s + 3*l + i = 0 for s. -2 Suppose 2*i = 3*s + 10, -6 + 26 = 4*i + 4*s. Solve 0 = 3*a - i*j + 8, -4*a - 5*j + 13 = -23 for a. 4 Let d be (112/(-70))/((-2)/5). Suppose -3*x + 34 = 4*a, d*x = -3*a + 29 + 7. Suppose 3*z - z = x. Solve 11 = -b + 2*h, 5*b - z*h + 29 = 9 for b. -1 Let u(b) = -6*b + 97. Let r be u(-7). Let s = r - 137. Solve -3*f + j - 1 = -s*f, -j = -3 for f. 2 Let g = 1779 + -1774. Solve 0 = 2*m - i - 7, m - g = -2*m - 4*i for m. 3 Let d = 606 - 595. Suppose d*s - 8*s = 3*m + 12, -4*m - 6 = -2*s. Solve 4*y + 4*z = -24, 0 = -s*y + 3*z + z + 6 for y. -2 Let m(g) = -g**3 + 3*g**2 + 67*g + 8. Let i be m(-7). Solve 3*q + 9 = 0, 3*v = -32*q + i*q - 24 for v. -5 Let u(w) = -4*w + 2. Let t be u(-3). Suppose -m + t = 5*g - 1, 0 = m + 5. Solve -g*d - 4 + 5 = y, -5 = -d - 5*y for d. 0 Suppose 69*o - 177 = 30. Let g(b) = -b + 9. Let c be g(4). Solve -5*u = c*q + 25, -o*q + u + 4*u + 1 = 0 for q. -3 Suppose 0 = 2*z - 33*z + 93. Let j(w) = -w**2 - 19*w + 42. Let t be j(-21). Solve -z*r + 2*p - 16 = t, 0*r - 4*p + 12 = -r for r. -4 Let g(d) = -64*d - 253. Suppose 5*n - 11*a = -12*a - 15, 5*n + 4*a = 0. Let p be g(n). Solve y - 3*i + 4 = 0, p*i - 6 = -3*y - 18 for y. -4 Let f = 3051 + -3046. Solve 3*r - 8 = 3*s - f, -5*r - 4*s + 14 = 0 for r. 2 Let c(l) = l**3 + 23*l**2 + 39*l - 61. Let u be c(-21). Suppose 3 - u = -b, -4*b - 1 = v. Solve k + 3*i - 7 = 6*i, 0 = -v*k - 5*i - 7 for k. 1 Let s(f) = -2*f**3 + 10*f**2 - 8*f + 6. Let p be s(4). Solve 2 = 4*r - 3*l - 19, 0 = -p*l - 18 for r. 3 Suppose 18*l - 626 = 14*l - 2*t, 621 = 4*l + 3*t. Let z = l - 146. Solve -z = 4*a + y, 0*a = -2*a - 2*y - 14 for a. -2 Suppose 102 = -r + 243. Let s = r + -131. Solve 0*q = 5*q + 4*g + 28, 4*q + s = 3*g for q. -4 Let i = -10072 - -10077. Solve d + 14 = -i*c, c - 18 = 6*c - 3*d for c. -3 Suppose -11*m + 7*m + 4*c = -12, 4*c = -2*m + 18. Solve 4 = 2*b + 2*w - 4, m*b - w = 2 for b. 1 Suppose 2*u - 7*u = 0. Let v(i) = -44*i**2 + 96*i - 11. Let y be v(2). Solve -y*x - 4 = -j, u = -5*j + x - 0*x - 4 for j. -1 Let n(j) = j**2 + 9*j. Let i be n(-5). Let g be 3/(24/i)*-4. Suppose 11*v = 9*v + g. Solve 5*b - 7 = b + 5*c, -b - 2 = -v*c for b. 3 Let f be 0 + (-7)/(231/(-24))*(-99)/(-18). Solve 3*u = -g - f, 0 = 21*u - 22*u + g for u. -1 Let s be (2*(-26)/(-4))/(-150 + 151). Solve 0 = -t + 4*z + s, t = -t - 5*z - 13 for t. 1 Suppose -34*f = 22 - 90. Suppose 0 = -2*d - 2*j - 2, -f*d - 15 + 4 = 5*j. Solve h + 8 = 2*a, 5*h = -d*a + 3*a - 22 for a. 2 Suppose 25 = -5*j - 6*j + 80. Solve -2*d + 6 = -2*a, 3 = -j*d + 23 for a. 1 Let i be (9/6 + 3)*28/21. Solve -5*f = -2*q - 17, 5*f - 9 = i for q. -1 Let q(f) = 5*f + 5. Let j be q(2). Suppose -3*a + j = -5*h, 15 = a - 2*h + 9. Solve 0 = -5*n + 5*m - a*m + 10, 0 = 2*m + 2 for n. 1 Suppose 3 + 1 = -2*d, -3*h + 31 = d. Let g be 3/(h/((-132)/(-9))). Solve 0 = -4*j + c - 11, -g*c + c = -4*j - 9 for j. -3 Suppose 0 = 20*z + 6*z - 52. Solve -z*m + 15 + 15 = 5*r, -37 = -5*m - 3*r for m. 5 Let b(k) = -k - 54. Let j be b(-54). Solve -3*r = j, -5 = m - 0*m - 5*r for m. -5 Suppose -2*v + 4*i + 10 = 0, 56*i - 55*i = -3*v + 8. Solve v*u + 9 = 2*q, 3*u - 14 = -4*q + 5*u for q. 3 Let t = -210 - -215. Suppose -95 = -t*h + 2*i, -4*h = -5*i - 26 - 33. Let c be (4/(-14))/(1/(-7)). Solve -o - 10 = -5*a, h = -4*a - 3*o - c*o for a. 1 Let m be 8/28 - -4*21/49. Solve m*p - 9 - 11 = 4*h, 0 = -3*h - 15 for p. 0 Suppose 8*x - 403 + 387 = 0. Suppose -2 = -n + x*p, 5*p + 0*p = 0. Solve 2*m + 8 - 2 = -n*r, 0 = m + 4 for r. 1 Let h(f) = -f**3 + 25*f**2 - 46*f - 73. Let j be h(23). Let v be 3/(1*9/(-210)). Let u = v - j. Solve 6 = -s + 2*d, 0 = -u*s + d - 3 for s. 0 Let m be (-171)/(-36) + 1/4. Let g be 0*(-4 - (-4)/(16/12)). Suppose -l = -5*l + 4*r + 24, m*l - 3*r - 22 = g. Solve 3*u = 5*c + 4, 9 = l*u + c + 2*c for u. 3 Suppose -g - 5*n + 1 = 0, -n + 2*n - 17 = -3*g. Let q = -40 + 63. Let i = -20 + 23. Solve 5*p = -i*f - q, g*f - 8 = 2*f + 3*p for f. -1 Suppose 176 = -3*k - b, -4*k = -2*k + 5*b + 139. Suppose -5*x - 42 = 243. Let q = k - x. Solve 5*j - 20 = 5*v, -5*j = -v - q*j - 16 for v. -1 Let w(u) = u**3 - 40*u**2 + 109*u + 77. Let f be w(37). Solve -3*h = -2*t - 5, -f*h + 10 = 2*h - 3*t for h. 5 Suppose 0 = -5*u + 33 + 7. Suppose -2 = u*r - 18. Solve 5*f + 2*d + 13 = 0, -r*f + 5*d = -0*f - 18 for f. -1 Let i(u) = -u**3 + 16*u**2 - 57*u + 27. Let a be i(11). Solve 3*z + 0 + 9 = -5*f, a*f + 19 = 2*z for f. -3 Let l(r) = 2*r**3 + 12*r**2 - 31*r + 10. Suppose -5*x = w + 28, 7 = -3*x - 5. Let s be l(w). Solve 5*u + 2*g = -s, 0 = 3*u - 2*g + 6*g - 10 for u. -2 Let i = 10296 + -10283. Solve k = 3*d + 1, -10*k - 4*d = -i*k + 3 for k. 1 Suppose -3*t + 27 = 2*p, 5*t + 1 - 45 = -3*p. Solve -x + 29 = 31, -p*x - 21 = 5*m for m. -3 Let g(j) = -2*j**3 - 126*j**2 + 10*j + 635. Let y be g(-63). Solve -3*z = -y*p + 4, 5*p + 17 = 5*z - 9*z for z. -3 Suppose -51 = -4*j - 19. Let x = j + -4. Let i = -95100 + 95105. Solve 2*t = 2*n - 14, x*t = -4*n + i*t + 19 for n. 4 Let s(w) = w**3 + 2*w**2 - 5. Let c be s(3). Suppose 3*n - 21 = -a, n - c = -0*a - 4*a. Suppose -f - 4 = -a. Solve -3*j - 3*g = -3, -f*j + 9 = -g + 4*g for j. 3 Let o(g) = 2*g**2 - 12*g - 10. Let q be o(9). Suppose 2*w = -q + 152. Suppose -22 = -4*x + w. Solve 5*a + x = 4*i, -a = i - 0 + 2 for a. -3 Suppose -47*w = 3151 - 3386. Solve -10 = -4*t - 0*t - 2*x, -2*t - w*x - 15 = 0 for t. 5 Let a be ((-13)/(-3))/(1/3). Let u be ((-20)/(-40))/((-2)/(-4) - 3/12). Solve z + 4*z = -r, 3*r + u*z = -a for r. -5 Suppose 2*o - o - 21 = 3*v, -2*v + 54 = 5*o. Suppose -3*b + o = -4*h - 7*b, 5*b = 4*h - 33. Solve -3*g - 4 = r, -2 = 2*g + h for r. 2 Suppose 0 = -539*r + 512*r. Solve r = -5*i - 5*a - 25, 2*i + 3*i = -2*a - 13 for i. -1 Suppose 3*s - 7*s + 324 = 0. Let d(t) = -t**3 - 4*t**2 - 2*t + 15. Let y be d(-5). Let q = s - y. Solve -3*b + r = 17, -6*b - q = -2*b - 3*r for b. -4 Suppose -4*r + 6 = -5*j - 8, 36 = 3*j + 5*r. Solve 4*g = -z + 8, -2*z = 3*g + j*z - 19 for g. 1 Let o = -26 + 15. Let w(j) = j**3 + 12*j**2 + 11*j + 5. Let r be w(o). Solve -s + 23 = r*k - 3*s, s = -5*k + 26 for k. 5 Let
{ "pile_set_name": "DM Mathematics" }
158887? False Which is smaller: -45479 or -45481? -45481 Which is smaller: -2/48951 or -1/4? -1/4 Is 322/41 at least as big as 2/19? True Which is bigger: -25857 or -51713/2? -51713/2 Which is greater: 22057 or 352933/16? 352933/16 Is -2873 > -2901? True Do -615700 and -615700 have the same value? True Which is smaller: -7533864 or -0.1? -7533864 Which is smaller: -133085 or -133079? -133085 Is 361761 less than 361761? False Which is smaller: -1.94 or -1485? -1485 Which is smaller: -1/841 or -106? -106 Is 8/1711 at most as big as -1/3? False Are 192 and 15900/83 non-equal? True Which is smaller: 26/108525 or 1? 26/108525 Is -340 bigger than 186? False Is 929455 at least as big as 929456? False Is -1134800 equal to -1134801? False Is 1107 greater than or equal to -84? True Is -14153 at most -14153? True Which is greater: 0.032 or 719? 719 Is -322 > -40434/125? True Is -6/71899 greater than or equal to -1? True Which is smaller: 384 or 430? 384 Are 1452 and -2.688 equal? False Which is smaller: -1332/2639 or -1? -1 Which is smaller: 5/3 or -188283/4? -188283/4 Is 77 less than 74? False Which is smaller: -9952 or -9962? -9962 Is 90604 >= 90604? True Is 365/23 less than or equal to -0.1? False Which is smaller: -28406 or -28405? -28406 Which is smaller: 0.1 or -19? -19 Is -8978 smaller than -8982? False Is 0 at most -6/2795713? False Which is smaller: 4579 or 4586? 4579 Are -215 and -334 equal? False Is -1911 < 80? True Which is smaller: 29561 or -8? -8 Is 63355/2 at most as big as 31677? False Are -8/477245 and 0 equal? False Are -0.3 and 150/203 unequal? True Which is greater: 1951 or 1962? 1962 Are 3965/44 and 89 nonequal? True Is 0 at least -728028? True Which is bigger: -5109 or 3? 3 Which is bigger: -2/39 or -305/4? -2/39 Which is smaller: 26295 or 26292? 26292 Is -404 <= -90? True Which is bigger: -22 or 15179.5? 15179.5 Is 0 < -8/353407? False Which is bigger: -309 or 1/9863? 1/9863 Is 3724 <= 2348? False Which is bigger: 7986 or 7912? 7986 Is 2 not equal to 563/27? True Is 2 greater than 8078.25? False Which is bigger: -13 or -3156? -13 Is -4789 != 7? True Do 1/185640 and -1 have the same value? False Which is smaller: -7/13140 or 0? -7/13140 Which is bigger: -1163 or -1135? -1135 Is -1 less than 1/1181898? True Are -105274 and -736922/7 equal? False Is -73604 smaller than -73605? False Do -3079693 and -3079692 have the same value? False Which is greater: 12808/5 or 2563? 2563 Is 31 bigger than 123/74? True Is 3553/73 equal to 49? False Is 1 greater than or equal to 150/11383? True Is 20/10471 equal to -1? False Which is bigger: 2 or 21/17? 2 Which is smaller: 6/5977 or 0? 0 Which is greater: -60537/2 or 2/29? 2/29 Is 2 smaller than 1756/691? True Which is greater: 2 or 2149? 2149 Is 1 less than -228758? False Is -39 at least -11225/282? True Is -1789609 <= -1? True Is 625229 at most 625229? True Which is bigger: -45738 or -45739? -45738 Which is smaller: 47108/23 or 2047? 2047 Is 49686 less than or equal to 49687? True Which is bigger: -736278 or -736276? -736276 Are -232 and -11/23 unequal? True Which is greater: -1544 or -20088/13? -1544 Which is bigger: -12320 or -12321? -12320 Is 2/3091829 < 1? True Are -1939 and -108529/56 unequal? True Is 2732 > 445? True Which is smaller: 494/6189 or 1? 494/6189 Are 1117 and 1133 unequal? True Which is smaller: -993 or -1676? -1676 Is -589285/4 greater than -147321? False Which is smaller: 1 or 125/12791? 125/12791 Is 2 <= 8582? True Is 0 smaller than 54173? True Which is smaller: 528 or 1180? 528 Does -46 = 133.9? False Which is greater: 3141 or -32? 3141 Which is smaller: -761380/11 or -69215? -761380/11 Which is bigger: -73 or -0.96? -0.96 Which is greater: 2 or 486/229? 486/229 Which is smaller: 340127 or -1/7? -1/7 Which is bigger: -5/1381764 or 0? 0 Which is bigger: 2/1043825 or -1? 2/1043825 Which is bigger: -0.09 or -4554? -0.09 Which is smaller: -18444737 or -18444736? -18444737 Are 0.6 and -8479 equal? False Is -6/13 at most as big as -1619? False Which is bigger: -0.0571 or -0.128? -0.0571 Which is smaller: -4 or -719/261? -4 Which is bigger: 1 or -14/7969? 1 Which is greater: -0.98 or 227/6? 227/6 Is 24808 greater than or equal to 24800? True Which is greater: -847 or -43208/51? -847 Is 0 not equal to 3/707789? True Is 2/23 > 525? False Which is smaller: 0 or -1/85747? -1/85747 Is -3050 > -3046? False Do 1 and -169/1022 have different values? True Which is smaller: -0.04 or -14253? -14253 Are -4876 and -4876 non-equal? False Are 2/73 and -74 unequal? True Is 1.6 < 291? True Which is smaller: 28971 or 6? 6 Which is bigger: -3/266474 or 0? 0 Which is smaller: -70 or -1888/27? -70 Is 8878 less than 8859? False Which is greater: 2 or 1.249945? 2 Which is greater: -897 or -4481/5? -4481/5 Is -1 > -1960044? True Which is smaller: 41669/88 or 474? 41669/88 Which is bigger: 455191 or 455193? 455193 Which is greater: 1 or 1/153759? 1 Is -133/12 less than 0.24? True Is 919 <= 1254? True Do 12290 and 12136 have the same value? False Is -8418 greater than -8418? False Is 10 less than 109424? True Which is greater: 2144458 or 2144460? 2144460 Which is bigger: -13/7307 or 1? 1 Are -1 and 2/272275 equal? False Is 77/108 greater than or equal to 2? False Which is greater: 11982/2579 or 4? 11982/2579 Is -2953/17 > -174? True Is -11/597 less than -10? False Is -114 bigger than -147.17? True Which is bigger: 1 or 1315.64? 1315.64 Is 5201/18 at least as big as 288? True Which is bigger: -17503 or -402588/23? -17503 Which is bigger: -1556 or -1558? -1556 Which is greater: 1 or 19.9449? 19.9449 Which is bigger: -5 or -0.032581? -0.032581 Which is bigger: -55707 or -55697? -55697 Which is greater: -1844 or -1841? -1841 Which is smaller: 2092 or 2086? 2086 Which is smaller: -6000 or -5994? -6000 Does -4069 = -4047? False Do 6264291 and 6264292 have different values? True Is 94577 less than 94577? False Which is smaller: -8659/2 or -4? -8659/2 Is -36769 not equal to -36770? True Which is smaller: -817306 or -817308? -817308 Which is smaller: 66 or -402? -402 Is -1474.99 less than -26? True Which is smaller: 1326 or 2/813? 2/813 Which is smaller: 0 or 2/86559? 0 Which is smaller: -45484/5 or -9098? -9098 Is -13/58 > -461? True Do -6/87775 and 1 have the same value? False Does -1 = 1/297430? False Which is smaller: 33/2 or -5/151? -5/151 Is 926568 at least 0.1? True Is -8/4957 equal to 0? False Are 27152 and -3/7 nonequal? True Is 21 greater than 21? False Which is smaller: -172194 or -172187? -172194 Which is greater: -1 or -1/466617? -1/466617 Which is smaller: -1/60 or 45.9? -1/60 Which is bigger: 1 or -0.80958? 1 Which is smaller: -1 or 685? -1 Is 0 > -259/4394? True Which is smaller: -189629/2 or -94816? -94816 Which is bigger: 0 or 5/134801? 5/134801 Is -139102 > -139102? False Which is bigger: 428 or 143? 428 Which is smaller: 1/45537 or 1? 1/45537 Is -435 bigger than -1026? True Is -3/2183776 at most -1? False Is 17340 greater than -10? True Is -18 greater than or equal to 2499? False Which is smaller: -2881 or -2889? -2889 Which is smaller: 0.119022 or 12? 0.119022 Is 22560 less than or equal to 22501? False Is 48/14807 less than 0? False Which is bigger: 3451 or 3445? 3451 Is 1705213 greater than 1705212? True Which is bigger: 251317 or 251325? 251325 Is 7251 at least as big as 7252? False Is -342 > -42? False Which is smaller: -88430 or -88434? -88434 Which is smaller: -343848 or 1? -343848 Which is bigger: -153599 or 2? 2 Is -4350/5717 bigger than 0? False Which is bigger: -710983/3 or -236994? -236994 Is 582 at least as big as 37341/64? False Which is smaller: -1607502/11 or -146138? -146138 Which is smaller: 4/561 or -15? -15 Which is smaller: 3/5 or -420.624? -420.624 Is 169478 smaller than 169477? False Which is smaller: -66/1409 or -1? -1 Is -2/688497 at most as big as -1? False Which is smaller: -491 or -231? -491 Which is smaller: 19490 or 19489? 19489 Which is bigger: 1808/13 or 140? 140 Is 15 equal to 429/31? False Is 4/13 greater than or equal to -1762? True Is -0.352655 != -1? True Is 885920 at most 885918? False Which is greater: 2/5 or -1291800? 2/5 Is -290891 at most -5? True Is 6484221 < 6484222? True Are 1/4 and 410817/7 unequal? True Which is smaller: -3163 or -117? -3163 Which
{ "pile_set_name": "DM Mathematics" }
+ v - 1. Let y be u(p). Suppose -4*d + 98 = 2*w, -3*d = -3*w - 2*w - y. Does 15 divide d? False Let p(j) = 7*j**2 - j + 2. Let x be p(1). Let r be (-1)/(x/(-1950)) - (-3)/12. Let w = 420 - r. Does 22 divide w? True Suppose -2730*q - 70268 = -2732*q - 4*b, -5*q - 3*b + 175628 = 0. Is q a multiple of 17? True Let p be (37/(-7) - -1)/((-3)/21). Let f = 33 - p. Suppose -9 = f*a, -4*c + a + 115 = -2*c. Is 8 a factor of c? True Is (364 - -3) + (5/(-1) - 2) a multiple of 6? True Suppose -2*w + 5*w - s - 12 = 0, 2*w - 7 = s. Suppose 0 = -a + w*a. Suppose a = 4*i, 75 + 58 = f - 5*i. Is 19 a factor of f? True Let j(u) = 10. Let c(l) = -14 - 2*l - 15 + 8*l**2 - 7*l**2 + 3*l. Let w(r) = 2*c(r) + 7*j(r). Is w(-4) a multiple of 21? False Let y(w) = 2*w**3 - 4*w**2 + 5*w - 4. Let t be y(2). Suppose 15*f = -t*f + 1386. Is 3 a factor of f? True Suppose 65*k + 84*k - 6600600 = -51*k. Does 25 divide k? False Let w = -152 - -152. Suppose 12*n - 971 - 1537 = w. Is n a multiple of 66? False Suppose -3*o = -3*q - 4341, -3*o - 2*q + 4306 = -0*o. Does 45 divide o? True Let w = -42 + 18. Let x = -19 - w. Suppose -x*i + 93 = -2. Is 2 a factor of i? False Let u(d) = -5*d**3 + 3*d**2 - 4*d. Let j(b) = -b**3 - b. Let r(o) = -6*j(o) + u(o). Suppose 2*m = -5*k - 3 + 28, 0 = -3*k - 3*m + 24. Does 19 divide r(k)? False Let f = -247 + 3303. Does 33 divide f? False Suppose 310*z - 4841916 = 26*z. Is z a multiple of 275? False Suppose 3*i + 5*l = 25 + 134, -237 = -5*i + l. Does 3 divide 4*(-606)/i*-2? False Let p be 649 + 21 + 8 + -1. Let s = -216 + p. Is s a multiple of 29? False Is 10 a factor of 18/(-21)*-7*(-21650)/(-30)? True Suppose 0 = -15*v + b + 41160, -2*v - 46*b + 50*b + 5488 = 0. Is 49 a factor of v? True Let h(z) = 389*z - 318. Is 144 a factor of h(10)? False Let o be 2/24 + (-1591)/516. Does 8 divide 99/12 - o/(-12)? True Suppose 3*n = 10*n - 49. Suppose -n*u + 5*u + 3*l + 155 = 0, -5*u + 393 = -2*l. Is 14 a factor of u? False Let j(q) be the first derivative of -q**4 + 5*q**3/3 + 4*q**2 + 4*q + 3. Let z be 7/(-3) - 26/39. Is 31 a factor of j(z)? False Let a = 130668 + -69553. Is 17 a factor of a? True Let w be (-1 + -3)/((-24)/408). Let x = 191 + w. Is x a multiple of 3? False Suppose 5*i - 3*i + 2*z = 80, -5*i = -z - 176. Suppose k = -3*k - i. Is 29 a factor of (-31025)/(-153) + (-2)/k? True Is (-1)/((-3)/(-2)) + (-180404)/(-1137) a multiple of 3? False Let i(u) = -2*u**3 + 79*u**2 - 84*u - 164. Does 106 divide i(32)? True Let j = -2174 - -4603. Suppose 261 = -4*o + 4*v + 2693, 0 = 4*o - v - j. Is 71 a factor of o? False Suppose -4*t - y + 37 = 0, -2*y + 1 = 2*t - 5*y. Suppose -7*n = -t*n. Suppose -5*s + 2*b + 3*b + 240 = n, 0 = 5*s - 3*b - 246. Is s a multiple of 18? False Suppose 772*x - 750*x = 113410. Is x a multiple of 64? False Suppose 1 = 3*i - 5. Suppose -2*w + w = 4*l - 59, l + i = 0. Suppose 0 = 62*b - w*b + 1140. Is 19 a factor of b? True Suppose -43 = 2*f - 5*f + 5*d, -3*d - 27 = -2*f. Suppose 197 - 2555 = -f*v. Does 17 divide v? False Suppose -288834 = -106*x + 37*x. Does 7 divide x? True Let w(z) = 338*z + 152. Let b be w(-8). Is 44 a factor of (b/203)/(2/(-7))? True Suppose 13 = -2*d - 1. Let x(k) = 4*k**3 + 12*k**2 + 17*k. Let b(u) = -9*u**3 - 24*u**2 - 35*u - 1. Let z(o) = 3*b(o) + 7*x(o). Is 16 a factor of z(d)? True Suppose 3 = g + 1, i + g - 39 = 0. Suppose -2*b = -11 - i. Is b a multiple of 24? True Suppose -4*w + 17 + 15 = -2*r, -r = -5*w + 46. Let x(o) = 23*o - 176. Let n be x(8). Suppose -n*j - 140 = -w*j. Is 35 a factor of j? True Let a be (4/14)/(-1 + (-8)/(-7)). Suppose -a*w + 40 = 6*w. Suppose 0 = -w*t - 3*k + 149, -2*t + 69 = t - 5*k. Is 28 a factor of t? True Let f(l) = -417*l**3 - l**2 - 10*l - 15. Is 6 a factor of f(-2)? False Suppose 4*n = 5*r + 12, -12 = -5*n + 3. Suppose -2*l + 3*w + 137 = r, 5*l = 5*w - w + 332. Suppose 3*k - f - 86 = f, -2*k = 2*f - l. Is 14 a factor of k? False Let m be (1 + -1 - -2)/(18/45). Suppose 178 = m*k - y, 0 = 5*k + y - 4*y - 184. Is 3 a factor of k? False Let h(u) = -2*u**2 - 4*u - 4. Let y be h(-3). Let i be (5*41)/(11 + y). Suppose 4*z = 2*j + 121 + i, 4*z - 3*j = 321. Is 14 a factor of z? True Let g = -1192 - -644. Let q = -439 - g. Does 8 divide q? False Let d(c) = 15*c + 22*c + 5 - 44*c + 10*c**2 + 3*c**3. Is 18 a factor of d(8)? False Let s = 5206 + 3326. Is s a multiple of 71? False Let c(l) = -77 + 287 + 28*l - 118. Is 12 a factor of c(30)? False Let k = -3095 + 4343. Does 96 divide k? True Let m be ((-20)/(-3))/(120/432). Suppose m*i - 718 = 1466. Does 10 divide i? False Let l(n) = n**3 - 9*n**2 - 10*n + 3. Let r be l(10). Is 22 a factor of r/3*-3*(-349)/3? False Let o(t) = 40*t - 271. Let a(r) = -42*r + 272. Let p(y) = 5*a(y) + 6*o(y). Is 17 a factor of p(10)? True Let s be (-25)/(-15) + (-2424)/(-9). Suppose 0 = 275*c - s*c - 676. Is 22 a factor of c? False Suppose -2*o = -6*o + 60. Suppose -f = -o*f + 126. Is 13 a factor of 52/8*(1 + f)? True Let j(a) = 5*a**2 + 17*a - 37. Let w be j(-12). Let k = 807 - w. Is k a multiple of 9? False Suppose -3 = l, -g - 6*l = -7*l - 6. Let h(u) = 10*u**3 - 8*u**2 + 13*u - 7. Is h(g) a multiple of 46? True Does 19 divide (-2)/((-8)/53290) - -6*(-9)/(-108)? False Let y(k) = -k**3 + 11*k**2 - 5*k - 39. Let x be y(10). Suppose -x*s = 15*s - 2496. Does 3 divide s? True Let l = 46305 + -21342. Does 159 divide l? True Suppose 0 = -3*l + 37 + 35. Suppose c + 81 = -5*p - l, 3*p - 65 = c. Let i = 0 - c. Is i a multiple of 16? True Suppose 0 = 5*v - 7950 + 630. Is v a multiple of 23? False Let z be (-4)/(6/63*(-6)/(-8)). Let m = z - -94. Suppose 2*p - 118 = 2*o, -p - 2*o + 109 - m = 0. Does 7 divide p? True Suppose 3*p - 42 = -3*n, 2*n - 13*p + 9*p - 52 = 0. Is -180*(108/243 - 35/n) a multiple of 18? True Suppose -5*j - 129 = -2*y - 122, 0 = 5*j - 15. Does 4 divide y? False Suppose 50 = -5*r + 17*g - 12*g, 0 = 5*r - 2*g + 44. Does 4 divide 4/r + (-153)/(-6)? False Let c(w) be the first derivative of -w**2 + 13*w - 11. Let f be c(-3). Let l(v) = 3*v + 11. Is l(f) a multiple of 20? False Suppose a - 376 = -a + 3*r, -2*a + r + 380 = 0. Suppose -o + a = -0*o - m, 975 = 5*o - m. Does 28 divide o? True Let n = 2554 - -6581. Is n a multiple of 105? True Let x = 47 - 40. Let l(z) = 2*z**2 - 4*z + 2. Let w be l(x). Does 12 divide -4*(-6)/(w/39)? False Suppose -3*c + 96555 = 5*r + 15920, -11*c = -2*r + 32254. Does 86 divide r? False Let q = -6677 - -12689. Does 6 divide q? True Suppose 0 = h + 14 - 20. Suppose -5*d + 2 = 3*l, d + h = -l + 2*l. Suppose 4*g - 504 = -4*r, 2*g = 4*g - l. Is r a multiple of 10? False Let h = -885 + 638. Let y = h - -633. Is 28 a factor of y? False Let x be 84/63*((-1026)/2)/1. Is 18 a factor of (x/(-133))/(4/322)? True Let h(f) = 2*f**3 - 2*f**2 - 2*f + 7. Let y = -9 + 13. Let q be h(y). Let u = q - -37. Is 6 a factor of u? True Suppose 48*t = -385 + 6961. Let g = -48 - 47. Let p = g + t. Is p a multiple of 14? True Let o = -4463 + 6407. Is o a multiple of 3? True Let k = 1169 - 799. Does 10 divide k? True Let g = 68 + -63. Suppose -4 = g*n - 144. Let c = n + 31. Does 6 divide c? False Let m(u) = 4*u**3 - 10*u**2 - 34*u + 15. Let y(v) = 5*v**3 - 10*v**2 - 33*v + 14. Let x(t) = -4*m(t) + 3*y(t). Does 3 divide x(12)? True Suppose -3*v + 197 + 224 = f, -v = -3*f + 1263. Suppose 0 = 2*q + 45 - f. Let i = q - 75. Is i a multiple of 54? False Suppose 9*m - 8*m - 5*h = -479, -1389 = 3*m - 3*h. Is 18 a factor of (-14)/7*(1 + m/6)? False Let z be 39*((-16)/6 - -1). Let h = z + 65. Suppose 0 = 5*t + 4*m - 105, 0 = -t - h*t + m + 12. Is t a multiple of 8? False Suppose 0*n - 4176 = -3*p + n, 0 = 2*n. Does 8 divide p? True Let w = -19053 + 29355. Is 51 a factor of w? True Suppose -b - w + 79 = 0, -12*b = -7*b + w - 379. Is 31 a factor of 1*((-124)/(-6))/(10/b)? True Suppose -10363 = -x - 3359. Is 34 a factor of x? True Let k = -37 + 83. Let n(a) = -a**2 + 51*a - 158. Does 12 divide n(k)? True Does 21 divide (282548/35 - -6)/(18/45)? False Let v = -564 - -1095. Suppose 1874 = 5*r - v. Does 13 divide r? True Let p be (-40)/4 - 3/3. Let n(x) = -x**2 - 9*x + 26. Let q be n(p). Suppose 0 = -q*k - 2*h + 152, 0*h = -3*h. Is k a multiple of 13? False Let w = 33 + -31. Suppose -w*j + 1350 = 3*j. Suppose 0 = 21*x - 18*x - j. Does 45 divide x? True Suppose 0 = 4*n
{ "pile_set_name": "DM Mathematics" }
2*l - 1. Suppose 20 + 4 = -l*i. Let y be m(i). Solve y = 3*c + r + 5 + 2, 4*c = 2*r - 6 for c. -2 Let d(n) = n**3 + 7*n**2 + 5. Let a be d(-7). Suppose 0*y + 33 = 3*y - 3*f, -2*y + 5*f = -25. Let o = y - a. Solve -o*r + 3*s - 9 = -3*r, 4*r + 8 = -4*s for r. -3 Let x = 12 - 8. Let s = -16 - -26. Let j = s - 4. Solve -3*h + 2*u = -2, -3*h = -j*h + x*u - 2 for h. 2 Let k = 7 - 5. Suppose 4*r + 5*q = 24, -3*q + k*q - 24 = -4*r. Suppose f = r*f. Solve 2*y = -f*n + n - 7, -4*y - 5*n + 7 = 0 for y. -2 Let z be 2 + (0 - 4 - -7) + -3. Solve -3*c + y - 1 = 0, 0 = 2*c + z*y - 1 - 1 for c. 0 Let h(m) = m**3 - 4*m**2 + 4. Let x be h(4). Suppose f - x*a = 10, 3*f - 2*a = 9 + 1. Suppose y = -f*y. Solve 6*i - i + 40 = 5*d, 4*d - i - 17 = y for d. 3 Let n = 16 + -13. Solve n*q = 2*c + 1 - 7, 4*c = -q - 16 for q. -4 Let u be (18/(-42))/((-1)/7). Solve 3*y = u*f, 2*y + 3 = f + 1 for f. -2 Let p = 97 - 88. Solve 0 = 3*t - p - 6, 2*j - 5*t = -29 for j. -2 Suppose -4*t + 24 = -0*a - a, -3*t + 31 = -4*a. Suppose 5*n + 5*h = 10 + t, 3*n - 5*h - 25 = 0. Suppose -n*j = -j - 12. Solve -y = 4*f + 9, -j*f = 2 + 4 for y. -1 Let i(v) = v - 7. Let a(d) = -d**2 - 6*d + 10. Let o be a(-7). Let n be (-3)/o*-3*3. Let t be i(n). Solve -8 = -2*h + 2*w, t*w - 8 = -3*h + 9 for h. 5 Suppose i = -4 + 2. Let q = 2 + i. Let b = -12 + 15. Solve q = 2*r - 3*o + 5, -b*r + 20 = -0*r + o for r. 5 Let n be (-4)/(-6) + 52/12. Suppose -10 = -n*o - 0*o. Let i be 4/o + -2 + 4. Solve -5*q = i*j + 5, 0 = -0*q + 2*q + j + 2 for q. -1 Suppose 4*i + d = 26, 9 = i + 4*d - 5. Let l be (-12)/(-4) + -4 + i. Solve -f + 4 = -10*m + l*m, -7 = 4*m + 3*f for m. -1 Suppose 0 = -69*y + 71*y - 16. Solve 2*b - 4*j - 6 = 0, -3*b + y = -2*b + 3*j for b. 5 Let g be 3/2*16/12. Suppose s + 3*j - g = 4, -2*j - 21 = -s. Let v be s/10 - 13/(-2). Solve 4*f - 3*n = -v, 4*f + 7*n = 4*n - 8 for f. -2 Let w be (2/6)/(5/75). Solve 7 = 3*t + w*o, 2*o + 4 = t - 2 for t. 4 Let l be ((-6)/9)/(2/(-6)). Suppose h = -2*t + 12, 2*t - 6*h = -l*h + 12. Solve 4*v + 5*z = -t, -3*v + z = -z - 7 for v. 1 Let k be 32/40*(-10)/4. Let w(b) = -b**3 - b**2 - b - 2. Let q be w(k). Solve -4*y + 20 = 0, 0 = q*x + 5*y - 0*y - 13 for x. -3 Let j be (-2)/(-6)*(-2 + 11). Suppose 0 = 5*f - 18 + j. Suppose 2 - 18 = -2*q. Solve -2*z - v - q = -f*z, z = -2*v - 4 for z. 4 Suppose -4*x + 20 + 2 = 5*u, -5*u + 25 = 5*x. Solve q - 5*g + 6 = 0, 4*q + g - u*g = -5 for q. -1 Let a = -16 + 19. Suppose -m = -a*m + 4. Solve -4*n = -m*i + 18, 0*n - n + 3*i = 17 for n. -2 Suppose -5 - 1 = -3*q. Solve -16 = -q*z + 2*b, 2*z + 5*b + 4 = 2*b for z. 4 Let s(k) = 3*k**2 + 1. Let v be s(-1). Suppose -2 = c - v. Let q(h) = h + 6. Let m be q(-3). Solve -c*o = -j + 3, -3*o + j - m = -0*o for o. 0 Suppose -5*j = -3*j - 4. Solve 4*k = -5*q, -j*k + 3*q = -6*k for k. 0 Let o be (-26)/(-10) - (-6)/15. Let r = 6 - o. Suppose -y - r*y = 5*i - 32, 4*y + 4 = 4*i. Solve i*n + 3*j - 27 = -n, -4*n + 5*j - 8 = 0 for n. 3 Suppose o + 7 = 3. Let r(z) = z**3 + 5*z**2 + 3*z + 6. Let k be r(o). Let d = k - 6. Solve -4*h + 2*l = 14, 0 = 4*l - 16 + d for h. -2 Let t = 14 + -12. Suppose t*o = -5*z - 7, -3*z = -3*o - z + 18. Solve -4*y - 6 = r, -y - o*r + 2*r = -2 for y. -2 Let v(m) = -3 + 2*m + 3 - 3*m. Let w be v(-7). Solve p - 3*r + 10 = 0, -3*p = -w*p - 2*r + 16 for p. 2 Let l be (1 + -6)*1/(-1). Let d = 318 + -314. Solve n + 2*f + 0 = l, -d*f = -n - 1 for n. 3 Suppose 0 = 5*m - 15. Solve 3*o - m = -3*l, l - 3*o = 3 + 10 for l. 4 Let t = -26 - -26. Solve 4*g - 2*v = 0, t*v - 3*v = -12 for g. 2 Let j be (-3)/(-3) + 6/3. Solve j = 2*s - 3*a - 7, -3*s - a + 4 = 0 for s. 2 Let z be 1 - 1 - 0*(-1)/(-1). Solve 2*m + 0*b - 4*b + 20 = z, 0 = 2*b - 10 for m. 0 Suppose 4*k - 5*o = 13, 11 = 2*k - 4*o + 3. Let m be 25/2 - (-2)/4. Suppose x + 0*x + m = 3*f, -2*f - x = -k. Solve -2*t - 1 - 5 = w, 0 = -w - t - f for w. 0 Suppose -4*p = 4*a, -a = -2*p - 2*p - 15. Let w = p - -4. Suppose 3*d - w = 5. Solve 2*r = -d*r + 12, 8 = b + 3*r for b. -1 Let s be (-2 - 78/(-12)) + 2/(-4). Solve -3*j + 7 = s*z, 5*j - 29 = -4 for z. -2 Suppose -3*c - 2 = -4*f - 1, 3*c - 15 = 0. Solve 4*u = -4*b - f, 4*b - 3*u = b - 3 for b. -1 Let i(s) = -s**2 - 8*s + 36. Let q be i(-11). Solve 3*w + 4*v + 0*v - 15 = 0, -3*w + 15 = -q*v for w. 5 Suppose -6 - 4 = w. Let z be (-88)/w*10/4. Solve -s - 5*f = 28, -3*f = -s + 2*f + z for s. -3 Let f = -81 - -85. Solve 0 = 4*g - f*w + 12, 4*g - w + 0*w = -3 for g. 0 Let o be -5*1 + 1 + -2. Let n = o + 11. Let i = -3 - -5. Solve -i*x = -0*x + t - 3, -4*x + n*t = 29 for x. -1 Let f be 1*-12*11/(-22). Solve 5 = -5*j - d, -3*j - f*d + 4*d = -4 for j. -2 Let o = 4 - 0. Suppose 0 = 2*a - 0*a - 34. Suppose -o*s = -19 - a. Solve -n = -3*k + s, 2*k - 20 = -0*k - 4*n for k. 4 Let c be (5/(-3))/((-8)/24). Solve 0 = 5*u - 5*i - c, 0*i - 2*i + 6 = 2*u for u. 2 Let o(i) be the third derivative of -i**5/60 + i**4/6 - 8*i**2. Let k be o(3). Solve -r = 2*q - q + k, -2*r = -2*q - 14 for q. -5 Let f(j) = -3*j**2 + 2*j**2 + j + 5*j**2. Let t be f(1). Suppose -2*p + 8 = 3*s - 9, 0 = -t*s - 3*p + 28. Solve 5 = r - s*u, -u + 3 = -3*r + 4 for r. 0 Let x = -5 + 20. Suppose -x = n - 4*n. Solve 4*k - n*o = -6 - 0, k - 4*o = 4 for k. -4 Let c(z) = z**2 + 2*z + 2. Let a be c(-2). Suppose -3*g = -a*g - 2. Solve 6*i - 5*x = 4*i + g, 2*i + 3*x + 14 = 0 for i. -4 Let i = -1 - 6. Let r = i + 10. Suppose 2*j - 93 = -j. Solve r*s + 3*x - j = -x, -4*x + 1 = -3*s for s. 5 Let v(m) = 14*m**2 - 27*m + 32. Let g(c) = -5*c**2 + 9*c - 11. Let a(q) = 17*g(q) + 6*v(q). Let l be a(-9). Solve 5*j = 3*h - 5*h - 8, -5*j - 5*h = l for j. -2 Suppose 24 = 3*m + 3*m. Solve -m*z - 4 = -k + z, -3*z - 7 = 4*k for k. -1 Let m be 2 + (0 - 0)/1. Suppose 9 + 0 = 3*u. Suppose -5*t - 2 = -2*n, 4*n - 3*t - 15 = u. Solve 4*z = -n*g + 2*g + 8, 10 = m*g + 4*z for g. -1 Let d be (-54)/(-10) + (-4)/10. Suppose 3*t = -4*j + d, -5*t + 3 = j - 11. Let l(a) = a**2 - 1. Let y be l(j). Solve -6*h + 8*h + q = 10, y = -h - q + 7 for h. 3 Suppose 0 = -12*v + 7*v + 10. Solve -v*q - 5*m - 2 = 11, 0 = q - 5*m - 1 for q. -4 Let b be (-6)/(-4)*(-2)/3. Let o = 2 + b. Suppose v + 4*v - s = -o, 2*s = v + 2. Solve v = 5*k + 3*t - 0*t - 21, 4*k + 2*t - 16 = 0 for k. 3 Let t(c) = c**3 + 11*c**2 + 9*c - 4. Let q be t(-10). Solve 3*f - q*f = 3*k + 21, f + 3 = 0 for k. -4 Let f = -2 - -7. Let r be (f + -5)/(2/(-1)). Solve r = u - k + 1, 5*u - 2*u + 5*k = 5 for u. 0 Let d(p) = 6*p**2 - p + 1. Let l be (-1 - 0)/(8/(-8)). Let s be d(l). Solve s*k + 3*v = k + 12, 0 = -k + 2*v - 8 for k. 0 Suppose -11 = -3*n + 37. Suppose -v + n = v. Let p = -4 + v. Solve p*m - i + 11 = 0, -i = -3*m + 3*i - 18 for m. -2 Let i = 9 - 7. Solve -4*s = 5*v - 8, s + 2 - 4 = i*v for v. 0 Let u(i) = -2*i + 16. Let h be u(7). Let m be h/(-3) - (-2)/3. Solve -4*v + m*w + 3*w = -20, -12 = -4*v + w for v. 2 Suppose 42 = v + v. Let w = 29 - v. Solve -k - 4*f + 17 = 0, -w = -2*k - 3*f + 6 for k. 1 Let n = 16 + -1. Solve -4*v + n = -5, -u + 12 = 3*v for u. -3 Let i(d) = 4*d - 5. Let x be i(3). Solve -2*l = j + 3, -2*j + x*j + 2*l = -7 for j. -1 Let l = -39 + 43. Solve -14 = -l*w + 2*k, 3*w - 3*k = -4*k + 13 for w. 4 Suppose -2 - 2 = -3*t + 2*g, 5*t + 5*g - 40 = 0. Solve v + 3 = -2*r + 3*r, t*r - 5*v - 13 = 0 for r. 2 Let y(o) = 3*o**3 - 8*o - 3*o**2 + 6 + 2*o - 2*o**3. Let j be y(4). Let h be (-7)/j + (-1)/(-2). Solve -b - 4*b + h*r = 0, r = 3*b for b. 0 Let i(n) = n**3 - n**2 - 2*n + 4. Let f be i(2). Let j = -19 - -29. Solve -2*t - j = 5*a, -5*t = -2*a - 0*t - f for a. -2 Suppose 5*v - 3 = 5*s - 33, -22 = -5*s + v. Suppose 0 = 2*x + 2*x - 4*w + 8, -s*x + 3*w - 3 = 0. Solve 3*k + b = 13, -2*b = x*k - 0*k - 11 for k. 5 Suppose 0 = -4*g - 4*v - 24, -4*v + 2*v = 3*g + 14. Let z be 2*(g + -1)*6. Let o be (-4)/10 + z/(-15). Solve -j + 3*r + 7 = -0, 3*j = -o*r + 10 for j. 4 Let o(u) = 2*u**2 + 1. Let w be o(1). Solve -p - 2*j = p + 8, -w*p - 4*j - 16 = 0 for p. 0 Let d(r) = -15*r - 1. Let x be d(-1). Suppose 56 + 314 = 5*y. Suppose y - 24 = 5*a. Solve -4*f - 2*b + x = -3*b, 5*b = -a for f. 3 Let t = 0 - -4. Let o be t*(3/12 + 0). Suppose s = 4, 0 = 3*i + 2*s - 13 - 49. Solve 2*p = -5*h + 14 + o, 3*h - i = -3*p for h. 1 Let w(l) = -11*l**2 - 3*l - 62. Let r(q) = 7*q**2 + 2*q + 41. Let j(d) = 8*r(d) + 5*w(d). Let n be j(0). So
{ "pile_set_name": "DM Mathematics" }
8 + 0 + (23 - 32). Sort -2, g, -5, -26. -26, -5, -2, g Suppose 344*b - 277*b = 1072. Put 4, b, -7, -4, 2 in descending order. b, 4, 2, -4, -7 Suppose -12 = -3*m - 2*j, 5*m - 12 = -41*j + 39*j. Let z be 6/24*76/(-5). Put z, m, -2/17 in descending order. m, -2/17, z Let u = 3 - 6.4. Let y = u - -0.4. Let t = 23 + -19. Sort y, t, 0, 3 in decreasing order. t, 3, 0, y Suppose 2*k = 8*k - 30. Let q(d) = -4*d + 19. Let r be q(10). Let h be (14/(-8) + 1)/(r/16). Sort 0.1, k, 2, h. 0.1, h, 2, k Let h be (-65)/(-5)*(-768)/832. Let k = 1 + -2. Sort h, 2, 5, k in descending order. 5, 2, k, h Let c = -34 + 33.98. Let z = 0.32 + c. Let s = z + -0.6. Put -4, s, -3, -1/4 in decreasing order. -1/4, s, -3, -4 Let v = -10454 - -10498. Sort v, -2, 66 in descending order. 66, v, -2 Suppose -9*i - 291 = 1023. Let b = i - -153. Sort 3, -1, 5, b. -1, 3, 5, b Let o be (2 + 11/(-3))/(1/12). Suppose 3*l + 60 = -3*w - 12, 2*w - 106 = 5*l. Let q = l - o. Put q, 2, 6 in descending order. 6, 2, q Let x = 2 + -6. Let m = 1.03301 + -0.63301. Sort x, -4/9, m, 0.1 in decreasing order. m, 0.1, -4/9, x Suppose -10*p + 10 = -30. Let k = -181 + 178. Let u = 8 + -13. Sort k, p, u in ascending order. u, k, p Let l = 9965 - 9969. Sort -2, 5/4, 4/15, 1/3, l in increasing order. l, -2, 4/15, 1/3, 5/4 Let b = -0.2 - -4.2. Suppose 0*i + 7*y = i + 14, -i = 5*y - 10. Sort -1/4, i, -0.3, b. -0.3, -1/4, i, b Suppose 3*c + 18 = 4*h, -18 = h - 3*h - 3*c. Suppose h*k = 10*k - 4. Sort 4, k, 6. k, 4, 6 Let j be (8/(-32))/(5*4/80). Let g be -2*j/(-2 + 9). Sort -0.8, g, 3/5 in decreasing order. 3/5, g, -0.8 Let l = 0.64 + -7.54. Let a = -7 - l. Sort 2/3, 5, a. a, 2/3, 5 Let r be -40 - (-3 + (0*(-4 - -5) - -5)). Sort 0.2, 29, r. r, 0.2, 29 Suppose -5*s - i + 30 = -6*i, -6 = 2*i. Let u be 72 - (-1*36)/(-6). Suppose -5*v = -5*l + 90, -2*v + 6*v = -2*l - u. Put s, -2, v in ascending order. v, -2, s Suppose -39 - 14 = -16*d + 11. Suppose -k = 3*k - 12. Suppose k*p - 7*p - 11 = s, -p = -s + d. Put s, 5, -1, 4 in increasing order. -1, s, 4, 5 Let v = 41 + 234. Let x = -273 + v. Sort -2, x, 1, 0. -2, 0, 1, x Let p(d) = 91 - 36 + 16*d - 5*d + 6*d. Let j be p(-3). Let f = 1 - 1. Sort f, -2, 3, j. -2, f, 3, j Suppose -5*g = -1 - 14. Suppose -202 + 70 = g*j. Put -4, j, 0.3, 5 in descending order. 5, 0.3, -4, j Let i(l) = -2*l - 1. Let v be i(-1). Let q(c) = 2*c**3 + 8*c**2 + 224*c + 906. Let x be q(-4). Sort 2, v, x, 5 in ascending order. v, 2, 5, x Suppose 179*z = -496 - 41. Put 8, z, 62 in increasing order. z, 8, 62 Let j = -0.1 + 0.2. Let z = -242.536 + 1.036. Let t = 241 + z. Sort t, j, 2 in decreasing order. 2, j, t Let g = -652 - -265. Let m = g + 384. Put 0, m, 4/3, 0.4 in increasing order. m, 0, 0.4, 4/3 Let a = 3130 + -3132. Sort 5, -5, a, -8, -1 in descending order. 5, -1, a, -5, -8 Let w(t) = t**2 - 39*t - 2591. Let l be w(-35). Put -4, 0, -10, l, -5 in ascending order. -10, -5, -4, l, 0 Let y = -17958 - -17954. Put -3, -3/2, 4, y, 4.6 in decreasing order. 4.6, 4, -3/2, -3, y Let h be 224/116 - (-9)/(3393/26). Sort -3, 4, h, 5, 6. -3, h, 4, 5, 6 Let q(d) = 3*d**3 + 3*d**2 - 4*d + 4. Let x be 18/(-12)*4/(-3). Let y be q(x). Suppose 7*j = -3*j - 40. Sort y, j, -3 in decreasing order. y, -3, j Suppose 3*r + 15 = 2*i, -6*i + 4*i + 4*r + 12 = 0. Suppose 5*p + 10 = 2*q, 5 = -11*q + i*q + 2*p. Sort -4, q, -29, -5 in ascending order. -29, -5, -4, q Suppose 154*t - 132 + 692 = -210. Sort t, 36, 10, 3. t, 3, 10, 36 Let t(q) = 10*q**2 + 32879*q - 32880. Let h be t(1). Let i(s) = s**3 - s - 16. Let y be i(0). Sort y, h, 0 in increasing order. y, 0, h Let i be (-22)/4 - (-12)/8. Let q(v) = 14*v - 62. Let j be q(5). Sort 0, j, 2, i in descending order. j, 2, 0, i Suppose -274*a + 115*a - 222*a = -1143. Let v = 6 + 0. Sort v, a, -4 in descending order. v, a, -4 Suppose 0 = 2*n - 45*n + 30014. Let j = n + -696. Sort j, -8, -4, -3. -8, -4, -3, j Let o(t) = 26*t + 65. Let n be o(8). Let x = n - 271. Sort x, 1, -6. -6, 1, x Let i(l) = l**3 - 6*l**2 - 6*l - 13. Let s be i(7). Let u be 8*((-19)/s - 3). Let t = 304 - 304. Sort t, 4, u, -1 in descending order. 4, u, t, -1 Suppose -9 = -4*h + 5*k + 8, 0 = 2*k + 10. Let x be 225/(-6) + 3/(-2). Sort h, -3, 3, x. x, -3, h, 3 Suppose p + o = 0, 5*p - 10*p - 7 = -2*o. Put -4, 25, 23, p in decreasing order. 25, 23, p, -4 Let q = 1.69 + 1.31. Let b = 0.17 - -4.83. Sort -1/4, b, q. -1/4, q, b Let m(x) = 154*x**2 - 150*x - 1. Let r be m(1). Sort 53, -1, r in decreasing order. 53, r, -1 Suppose 0*o + 3*o - 278 = w, 5*w + o = -1438. Let f = 282 + w. Put 22, f, 4, -4 in decreasing order. 22, 4, -4, f Let v = 647 - 635.4. Let y = v - 11.6. Sort 2, y, -1/5, 0.13 in decreasing order. 2, 0.13, y, -1/5 Let t = -1794 + 1797. Put t, 0.2, 0.4, 2 in increasing order. 0.2, 0.4, 2, t Let d be 5 - 5/(-1) - -4. Let i be (-46)/14 + 1/d*4. Sort i, 3, -10, 2. -10, i, 2, 3 Let q be 33/(-15)*94*(-5 + 10). Let i be (3*4/(-18))/(q/(-141)). Sort i, 2/11, 2/19 in descending order. 2/11, 2/19, i Let n = 143.1 - 137. Let d = n - 6. Let z(u) = -u**3 - 5*u**2 + 1. Let k be z(-5). Put k, 0.2, 4, d in descending order. 4, k, 0.2, d Let c be 1/(-4) + (-2)/8*-489. Let j = -131 + c. Sort -4, 7, j in descending order. 7, -4, j Let t = -102 - -106. Suppose 3*k - 4*f = -2*k - 47, 4*f = -k + 5. Let l(a) = a**3 + 124*a**2 + 122*a - 122. Let g be l(-123). Put t, k, g in ascending order. k, g, t Let y = -2132 + 2148. Sort y, 3, -2, 5, -5 in increasing order. -5, -2, 3, 5, y Let t(c) = -2*c**3 + c**3 - 3*c - 7*c**2 - 3 + 3*c**3. Let s be t(4). Let p be 1 + (-2 - s) + 4. Sort 5, 4, p, 0 in descending order. 5, 4, p, 0 Suppose -3*l - 5*s + 2*s = -39, 5*s - 50 = -4*l. Suppose -n - 33 = l. Let g = 44 + n. Sort g, -0.3, -3/4 in descending order. -0.3, -3/4, g Let n = 0.02899 - -0.07101. Sort -2/17, 199, n in decreasing order. 199, n, -2/17 Let o = -6 - 0. Let c be -8 - ((-3)/(-36)*10)/((-30)/180). Put o, c, 0 in ascending order. o, c, 0 Let x = 16591 + -16596. Sort -0.2, 7/2, x, 36 in increasing order. x, -0.2, 7/2, 36 Let o be (-108 + 120)/(6/(-3)). Put 0, 4, 6, o, 1 in descending order. 6, 4, 1, 0, o Let i = -44/37 - -301/222. Let m(o) = -o + 9. Let t be m(7). Let v = -5 + t. Sort v, -2/7, i. v, -2/7, i Let r(i) = -i + 5. Suppose -9*x + 16 = 106. Let o be 3/(-24)*(x - -2). Let w be r(o). Put w, 3, 1, -2 in decreasing order. w, 3, 1, -2 Let l be 12/18 + 34/(-6). Let p be l/(-9)*3 - (-1 - -3). Sort -0.3, 5, 0, p in decreasing order. 5, 0, -0.3, p Let u = -9899 - -9918. Put 2, u, 12, -1/5 in increasing order. -1/5, 2, 12, u Suppose -n = -2*s - 11, -496 = -3*s - 508. Sort 40, -5, -6, n, 1 in ascending order. -6, -5, 1, n, 40 Let x = -2.304 + -1.696. Let z = -0.2 + 4.2. Put x, 2/11, 2/3, z in ascending order. x, 2/11, 2/3, z Suppose 109*x - 95*x = -70. Let y be 4/(0 - -8) + 6/4. Put -15, x, y in descending order. y, x, -15 Suppose -33 = -4*u + 3*k + 2*k, -3*k = -4*u + 23. Let s be (2 + -1)*(0 - (-21 - 2)). Let j be 4/(-18) + s/207. Sort 3, u, -2/15, j in descending order. 3, u, j, -2/15 Let s = -1983 + 1736. Put s, 0.2, 0.4 in increasing order. s, 0.2, 0.4 Suppose 3310 = -22*p + 604. Let s = -105 - p. Sort 0, -0.4, -4, s. -4, -0.4, 0, s Let w = 46.101 - 0.101. Let m = -291.2 + 337. Let d = w - m. Sort -1, d, -1/5 in descending order. d, -1/5, -1 Suppose 26*m - 178 = -698. Let n(l) = 2*l**2 + 40*l. Let p be n(m). Sort -258, p, 4. -258, p, 4 Let r be (-3318)/9 - 16/(-24). Let h = 363 + r. Put 1, h, -9, -1 in descending order. 1, -1, h, -9 Let h = 9103 - 9093. Put -2, 0, -4, 37, h in descending order. 37, h, 0, -2, -4 Let l be (-11 + (-2232)/(-207))*4/12. Put -8, l, 0 in descending order. 0, l, -8 Let s = 84.7 + 75.8. Let z = 160 - s. Let u be 2/6 - (0 - -1). Sort z, u, -3 in descending order. z, u, -3 Suppose -66*f = -29*f - 148. Suppose 11*s - 310 = -20*s. Put s, -1, f in decreasing order. s, f, -1 Suppose -2*q + 2*w = -20, 23 = 2*q - 16*w + 13*w. Put 6, -4, 2, 3, q in ascending order. -4, 2, 3, 6, q Let i = 0.0545 + -0.0645. Put 1, 1.94, i, -3 in increasing order. -3, i, 1, 1.94 Suppose -5*l + 20 = 4*i + 6, 3*i = -12. Let y be ((-15)/(-3 - 2))/(l/4). Put y, 14, 4, -4 in decreasing order. 14, 4, y, -4 Let t(w) = -2*w**3 - 72*w**2 - 76*w - 209. Let p be t(-35). Sort 473, 2, 5, -5, p in descending order. 473, 5, 2, p, -5 Let i =
{ "pile_set_name": "DM Mathematics" }
f**3 + c**3*f**2 - 2124*c**3*f + 3*c**3 + 2*f + 1 wrt f? -12064542*c**3 What is the first derivative of -536029*q - 288622 wrt q? -536029 Find the third derivative of -113632*m**6 - 114088*m**2 wrt m. -13635840*m**3 Differentiate 5*n**3 + n**2 - 1439*n + 187645 with respect to n. 15*n**2 + 2*n - 1439 Find the third derivative of -45*g**3*q**2*v - 3*g**3*q**2 - 5*g**3*q*v + 266*g**2*v - 106*g*q**2*v wrt g. -270*q**2*v - 18*q**2 - 30*q*v What is the first derivative of 20*b*g*u - 4*b*g - 2*b*u - 5*b + 4*g*u + 2*g - 13*u + 24 wrt u? 20*b*g - 2*b + 4*g - 13 Find the first derivative of 252*f*u**2*v + 2*f*v - 62*f - u**2 + 2*u*v - 68 wrt v. 252*f*u**2 + 2*f + 2*u What is the second derivative of 36*t**4 + 392*t**3 + 29097*t wrt t? 432*t**2 + 2352*t Find the third derivative of 2*a*u**4 - a*u**3 - a*u**2 - 6*a*u - 5282*a + 1563*u**4 - 5*u**3 - u**2 wrt u. 48*a*u - 6*a + 37512*u - 30 Find the third derivative of 46038*l**3 - 5489*l**2 - 2*l - 4. 276228 What is the derivative of 361055*w - 194781? 361055 Differentiate -2*q*s**3 + 239*q - 16124*s**3 + 17 wrt s. -6*q*s**2 - 48372*s**2 What is the first derivative of -3*o*z**2 + o*z - o + 2924*z**2 + 11*z - 1367350 wrt z? -6*o*z + o + 5848*z + 11 Find the first derivative of 14118*j**2*o**3 - o**3 + 174*o - 7 wrt j. 28236*j*o**3 What is the derivative of -2*b**3*k*y - 52760*b**3*k + 14739*b**2*k*y wrt y? -2*b**3*k + 14739*b**2*k What is the derivative of -2*o**4 - 2*o**3 - 586*o - 17312? -8*o**3 - 6*o**2 - 586 What is the third derivative of -33265*i**6 - 31*i**5 - 9*i**2 + 14471*i wrt i? -3991800*i**3 - 1860*i**2 Find the second derivative of -13*k**2*p**3 - 2*k**2*p**2 - 84*k**2*p*z**3 - k*p**3*z**3 - 60*k*p**3*z + 3*k*p**2*z**3 - 3*k*p*z**2 + 11*p**3*z**2 wrt k. -26*p**3 - 4*p**2 - 168*p*z**3 Find the second derivative of -210203*o**2*r**2 + 4*o**2*r*t + o*r**2*t - 2*r**3*t + 40204*r*t wrt r. -420406*o**2 + 2*o*t - 12*r*t What is the third derivative of 55125*q**3 + 7*q**2 - 566*q wrt q? 330750 Find the second derivative of -6631*f*h**4*s - 2*f*h*r + f*h*s + 2*f*r*s + f*s - 20*h**3*r*s + 86*h*s wrt h. -79572*f*h**2*s - 120*h*r*s What is the second derivative of -10*c**2*o**3*s**2 - 333*c**2 + c*o**3*s**2 + 4*c*o**3*s + 52*c*o**2*s**2 - c*o - s wrt c? -20*o**3*s**2 - 666 What is the second derivative of 5*a**3 + 11014*a**2 + 264*a - 1471 wrt a? 30*a + 22028 What is the second derivative of 5*w**3 + 89647*w**2 - 3901*w + 12? 30*w + 179294 What is the third derivative of -1037*b*l**3 + b*l**2 - 40*b + 15*l**5 - 18 wrt l? -6222*b + 900*l**2 Find the first derivative of 124942*s*u**3 - 198655*u**3 wrt s. 124942*u**3 Find the first derivative of 1188*a*j*y**3 + 2*a*j + a - 52*j*y**3 - y**3 + 4918*y**2 - 2 wrt j. 1188*a*y**3 + 2*a - 52*y**3 Find the third derivative of -359960*b**6 + 67*b**2 + 510*b. -43195200*b**3 What is the third derivative of 13541*x**3 - 248*x**2 + 20*x + 1? 81246 What is the third derivative of -239*b*m**3*y**3 - b*m**2 + b*y**2 - 41*m**3*y**3 - 1226*m**2*y**3 wrt m? -1434*b*y**3 - 246*y**3 Differentiate 35*c**4 + 2*c**3 + 662*c**2 - 2*c + 210446 wrt c. 140*c**3 + 6*c**2 + 1324*c - 2 Differentiate 21965*g*p**2*q + 44*g*p**2 - g*p*q - 2*p*q + 357 wrt q. 21965*g*p**2 - g*p - 2*p What is the second derivative of -506*f**3 + 126*f**2 + 555237*f? -3036*f + 252 What is the second derivative of 2*d**2*v**2 + d**2*v + d**2 + 42*d*r*v**2 + 65*d*r*v - 55*r*v**2 - r*v - 5*v**2 wrt v? 4*d**2 + 84*d*r - 110*r - 10 Find the second derivative of 23548*c**5 + 4*c**2 - 1162041*c wrt c. 470960*c**3 + 8 What is the derivative of -2*m**4 + 694240*m + 593895? -8*m**3 + 694240 What is the first derivative of 2075*x**3 - x + 103747? 6225*x**2 - 1 Find the second derivative of 57*d*m**4 + 44*d*m**3 + 362235*d*m - 2*m**2 wrt m. 684*d*m**2 + 264*d*m - 4 What is the derivative of 3*i*l*t + 80313*i*l - 1138*i*t + 2*l*t - 5*t wrt t? 3*i*l - 1138*i + 2*l - 5 Find the third derivative of -520425*b**3*s**4 + 36*b**3 + 880*s**2 wrt s. -12490200*b**3*s Find the third derivative of g**4 - 69298*g**3 + 23968*g**2 - 2 wrt g. 24*g - 415788 What is the second derivative of -18*a**4 + 2*a**3 - 5625*a**2 + 9*a + 11560? -216*a**2 + 12*a - 11250 Find the third derivative of 567*j*o**5 - 26*j*o**3 - 1002*j*o**2 + 10*j - 8*o**3 + 15*o wrt o. 34020*j*o**2 - 156*j - 48 Find the first derivative of -48079*f + 10166 wrt f. -48079 Find the first derivative of 69*i**4*r + 3*i**2*r**2 - 57*i**2 + 93883*r**2 wrt i. 276*i**3*r + 6*i*r**2 - 114*i What is the second derivative of 10*o**4 + 10*o**3*z + 23*o**2 - 70056*o*z wrt o? 120*o**2 + 60*o*z + 46 What is the second derivative of 734503*p**5 - 1213182*p wrt p? 14690060*p**3 Find the first derivative of 124090*p**3 + 143932. 372270*p**2 Find the third derivative of -2*a**2*k**2*v**3 + 248*a**2*k**2*v**2 + a**2*k**2*v - 2*a**2*k - 21485*a**2*v**3 + 2*a*k*v**2 - 9*a wrt v. -12*a**2*k**2 - 128910*a**2 Find the third derivative of -415086*k**3*y**2 + 14260*k**2 - 2*k*y**2 wrt k. -2490516*y**2 What is the third derivative of -52190*d**3*v**3 - d**3*v - 3*d**3 + 1726*d + v**5 + v**2 wrt v? -313140*d**3 + 60*v**2 Differentiate -2*j**3 + 3322*j**2 - 31*j + 214965. -6*j**2 + 6644*j - 31 What is the second derivative of 809402*v**2 - 283*v - 36? 1618804 What is the second derivative of -260759*m**2 + 185927*m? -521518 Find the first derivative of 645781*n - 968200 wrt n. 645781 What is the third derivative of -h**3*q - 1697788*h**3 - 7*h**2*q - 1079*h**2 - 120*q wrt h? -6*q - 10186728 What is the second derivative of -32*k**4 - 15*k**3 + 4*k**2 - 125737*k wrt k? -384*k**2 - 90*k + 8 Differentiate 136*j**2 - 1712*j - 13513. 272*j - 1712 What is the third derivative of -470997*q**6 - 6*q**2 + 9588*q wrt q? -56519640*q**3 What is the derivative of 149*b*k*v**2 - 2*b*k + 3*b*v**2 - b*v + 3*k*v**2 + 29*k - 6*v**2 - 61 wrt k? 149*b*v**2 - 2*b + 3*v**2 + 29 What is the third derivative of 73094*x**3 - 80*x**2 + 384 wrt x? 438564 Find the second derivative of -209*c**4 + 2628*c**3 + 1500954*c wrt c. -2508*c**2 + 15768*c Find the second derivative of -431478*i**2 - 160191*i. -862956 What is the second derivative of c**3*l*w - 4*c**3*o**2*w + 3*c**3*w + c**2*l - 229*c**2*o**2*w + 124*c*l*o*w + l*o**2*w - l - 2 wrt o? -8*c**3*w - 458*c**2*w + 2*l*w What is the second derivative of -211927*d**2*l + 1654186*d*l wrt d? -423854*l What is the third derivative of 67445*c**3*m**2 - 2*c**2*m**2 + 45444*m wrt c? 404670*m**2 What is the second derivative of -b*h**2 - 2*b*h - 5078*h**3 + 7*h + 469 wrt h? -2*b - 30468*h Find the third derivative of 61*j**4*w**2 + 199*j**4 - 2*j**2*w + 11*j**2 - w**2 - 6*w wrt j. 1464*j*w**2 + 4776*j What is the third derivative of -90996*u**4 - 3*u**2 + 840? -2183904*u Find the third derivative of 58*o**5 - 2568*o**4 + 134*o**2 - 34*o + 4 wrt o. 3480*o**2 - 61632*o What is the first derivative of -87*c**3*l + 16*c**3 + 76*l + 33 wrt c? -261*c**2*l + 48*c**2 What is the derivative of -3*j*p**2*t**2 + 254808*j*p**2 - p**2*t**2 - 61*p*t**2 + 1275*t**2 wrt j? -3*p**2*t**2 + 254808*p**2 Find the first derivative of 411*g**3*x**2 + 110*g**3*x - 2*g**3 - 80*g - 3 wrt x. 822*g**3*x + 110*g**3 What is the third derivative of -1005*h**3*n**4 - 2*h**3*n**2 + 11*h**3*n - 6*n**5 + 175 wrt n? -24120*h**3*n - 360*n**2 Find the first derivative of -6*n**3*o**2 + 3*n**3 + 12*n**2 + 36*n*o**3 + 2*n - 272*o + 1590 wrt o. -12*n**3*o + 108*n*o**2 - 272 Differentiate g*i - 26693*g + 5007*i wrt i. g + 5007 Find the second derivative of -27*d**2*h**3 - 3*d**2*z + 1245*h**3*z - 428866*h wrt h. -162*d**2*h + 7470*h*z What is the second derivative of 74*c**3 - 5024*c**2 - 735522*c wrt c? 444*c - 10048 Find the third derivative of 49139*t**3 + 5962*t**2. 294834 What is the first derivative of -25368*a**4 + 5*a*d + 32*d + 1386 wrt a? -101472*a**3 + 5*d Find the second derivative of 2929765*z**3 - 2*z - 32731. 17578590*z Find the second derivative of -2134671*k**2 + 2*k + 199175 wrt k. -4269342 What is the second derivative of -2*x**5 + 39972*x**4 + 3432782*x? -40*x**3 + 479664*x**2 Differentiate -10417*h**3 + 52*h**2 + 2170461 with respect to h. -31251*h**2 + 104*h Differentiate 100004*c**3*n - 1214*c**3 + 66*c - 19*n with respect to n. 100004*c**3 - 19 What is the second derivative of 20379*x**3 + 7855*x? 1222
{ "pile_set_name": "DM Mathematics" }
*3 and give t. 0 Express (2*x - 4*x - 2*x)*(-29*x**2 + 26*x**2 - 1168*x**3 + 872*x + 1166*x**3) in the form f + m*x**4 + r*x + p*x**3 + b*x**2 and give m. 8 Express -71466*z + 35737*z - 2 + 35729*z + 711*z**2 as a*z**2 + o*z + k and give a. 711 Rearrange -a**2 - 19 - 14*a - 28 + 12 - 9*a + 21*a to the form k*a**2 + m*a + o and give o. -35 Express 462*h - 1136*h - 1556*h in the form n*h + f and give n. -2230 Rearrange -118769*o**2 - 4*o - 2 - o**3 + 6 + 118773*o**2 to the form j*o**2 + f*o**3 + p + n*o and give j. 4 Rearrange 18660*y + 201666654 - 201666654 to the form h*y + j and give h. 18660 Express 584*f - 249*f + 140*f + 353*f in the form h*f + o and give h. 828 Rearrange -9*t**3 - 1173656*t**4 + 2*t + 488*t**2 + 11*t**3 + 1173653*t**4 to the form m + l*t + q*t**4 + g*t**2 + k*t**3 and give g. 488 Express 227*i - 71*i - 64*i - 79*i - 12 as k + z*i and give z. 13 Express 401*g**4 + 5653*g**3 + 2*g**2 - 409*g**4 - 5651*g**3 + 1 + 4*g in the form a*g + x + s*g**2 + m*g**4 + i*g**3 and give s. 2 Rearrange (4*z - z - z)*(101 + 38*z + 51*z - 102 + 17*z**2) to i*z**2 + o*z + y + r*z**3 and give r. 34 Express 10*j + 36 - 2*j + 13*j as y*j + m and give y. 21 Express (-g + g + g)*(1554*g + 944*g + 2935*g + 2972*g - 867*g) as i*g + n*g**2 + x and give n. 7538 Express 221 + 35058*v - 35060*v - 3*v**2 - 27 in the form l*v**2 + p + b*v and give l. -3 Express (d**2 - d**2 + 2*d**2)*(107 - 101 + 10*d - 26*d)*(-1 - 2 + 1)*(9 + 22 + 13) as j + b*d**2 + i*d**3 + v*d and give i. 2816 Rearrange -154*n**3 - 38*n**3 + 41*n**3 + 1 - 105*n**3 - 2 to b*n + i*n**3 + x*n**2 + o and give o. -1 Rearrange 3612*z - 1611*z + 5302*z - 1568*z to the form f + c*z and give c. 5735 Rearrange 608*n**2 - 2969895*n + 2969895*n to the form a + f*n + i*n**2 and give i. 608 Rearrange -12 + 523*z**2 - 10*z + 9*z - 507*z**2 to n*z**2 + j*z + p and give j. -1 Express f**3 + 2*f**4 - f**3 + (-114*f + 117*f - 3*f + 12055*f**2)*(-5*f**2 + 4*f**2 + 4*f**2) in the form v*f**4 + l + x*f + w*f**3 + o*f**2 and give l. 0 Rearrange -8*x**2 + 3*x**2 + 4*x**2 + 269 + 1525*x - 2*x**3 - 766*x - 758*x to p + y*x + f*x**2 + l*x**3 and give y. 1 Rearrange -4108 + 4108 + 15189*n to f + z*n and give z. 15189 Express (-4 + 2 + 4)*(-3*t**3 - 2*t**3 + 6*t**3) - 9 - 433419*t**3 + 9 + 429474*t**3 + 0 in the form r*t**2 + a*t**3 + b + s*t and give a. -3943 Rearrange 4*r**2 - 122 - 25 + 148 - 3*r to the form g*r**2 + f + s*r and give s. -3 Rearrange 52*z + 2 + 10*z + z**2 + 9*z + 71*z - 18*z to the form s + l*z + c*z**2 and give s. 2 Express 12 + 4956*x - 5 - 6 + 1261*x in the form g + r*x and give g. 1 Express -56*y**3 + 42*y**3 - y - 75*y**4 + 152*y**4 - 74*y**4 + 0*y**2 - 2*y**2 in the form d*y + r*y**4 + z*y**2 + t + w*y**3 and give w. -14 Express 980*n + 33 + 41 + 42 - 116 in the form i + b*n and give b. 980 Rearrange (11*v + 6*v - 4*v)*(18*v + 13*v + 4*v) to the form g*v**2 + t*v + i and give g. 455 Express 6141 + 212*x**2 - 429*x**2 - 6152 in the form t + w*x**2 + z*x and give t. -11 Rearrange (-3*u**3 + 2*u**3 + 0*u**3)*(55*u - 234*u + 124*u - 31286 + 54*u) to the form y*u**3 + p*u**2 + v*u**4 + m + d*u and give v. 1 Rearrange -2*o**4 + o - o**2 + 301 + 0*o**4 + 161 + o**4 + 56 to the form d*o**2 + g*o**3 + n + f*o + m*o**4 and give d. -1 Rearrange -1 + 3 + 183*f + 2 + 3 - 15 to a*f + i and give a. 183 Rearrange -4478*u**2 - 2497 + 2497 + 754*u**2 to the form i*u**2 + x + p*u and give i. -3724 Express -7 + 14652*z**2 + 4*z - 14649*z**2 + 5*z in the form j + b*z + c*z**2 and give j. -7 Express -9*o**2 - 14*o**2 - o + o**3 + 18*o**2 as t*o + a + l*o**3 + g*o**2 and give l. 1 Express (3*x**2 + 0*x**2 - 4*x**2)*(x + 2*x + 5*x)*(2 + 16 - 4) as n*x + a + m*x**2 + b*x**3 and give b. -112 Rearrange 2139 - 116*l + 2099 + 30*l**2 + 5*l - 4238 to h*l + b*l**2 + g and give b. 30 Rearrange (-4 + 7 - 1)*(-2 + u + 2) + u + 2*u - 2*u + (11 - 7 + 2)*(1885*u - 740 + 740) to the form p + c*u and give c. 11313 Express -667*i + 613*i**4 - 2 - 611*i**4 + 3*i**2 + 161*i - 105*i in the form l*i + z*i**3 + s + g*i**2 + c*i**4 and give g. 3 Rearrange (0*m**2 - 16*m**2 + m**2)*(-98 + 63 + 2*m + 62) to the form a*m**2 + q*m**3 + g + o*m and give q. -30 Rearrange 10617*d + 10596*d + d**2 - 30*d**3 - 21210*d to n*d + z + g*d**3 + c*d**2 and give n. 3 Express -12232 + 163*f + 12236 + 98*f as n + t*f and give n. 4 Express 63 - 2*w + w**2 + 57 - 126 + 3*w**4 + 0*w - w**4 as h*w**4 + o*w**2 + g*w + r*w**3 + b and give o. 1 Rearrange -15 - 11 - 2*a**3 - 13*a - a**2 - 7*a**3 + 26 to the form i*a**2 + b + t*a + g*a**3 and give t. -13 Express 279194*r**2 - 643*r - 279191*r**2 + 6 - 3 in the form w*r**2 + o + b*r and give b. -643 Express (0*v + 0*v - 2*v - 3 + 3 - 2*v + (0*v - 2*v + v)*(-2 + 4 + 0) - 10*v + 16*v - 29*v)*(-3 + 1 - 1)*(8 + 4 - 4) in the form k*v + i and give k. 696 Rearrange -10*n + 5 - 983*n**3 - 16*n + 985*n**3 to the form f*n**2 + y*n + i*n**3 + z and give i. 2 Express (-12 - 21 + 0)*(z**3 - 16*z + 17*z - 2*z**3) + (-2*z + z + 0*z)*(-z**2 - 9*z**2 + 4*z**2) in the form l + x*z**3 + t*z + r*z**2 and give x. 39 Rearrange 2*b**2 + 3*b - 3*b + 29*b**2 - 2*b**2 + 2*b**2 + (0 + 0 + b)*(3*b - 2*b + 2*b) + 10*b**2 - b**2 - 4*b**2 to the form z*b + p + u*b**2 and give u. 39 Express (h - 3*h + h)*(22 + 21 - 31)*(-7 + 5 + 11) as r + v*h and give r. 0 Express (-5 + 78*j + 41 - 3 + 585*j)*(3 - 1 - 1) as h + k*j and give h. 33 Rearrange -1 + 2*w**2 + 1 + (0 + 2*w + 0)*(51 - 51 + 41*w) + (-5*w**2 + w**2 + 3*w**2)*(-1 + 2 - 4) to o*w**2 + f + v*w and give v. 0 Express (1 + 1 + 2)*(139*v + 456*v + 61*v) - v - v - v as w*v + h and give h. 0 Rearrange 4179*q**2 - 2215*q**2 + 559*q**2 + 4143*q**2 to the form d*q + x + a*q**2 and give a. 6666 Express (-3*p**3 + 2*p**3 + 3*p**3)*(-4789 + 391 + 16207 + 13961 + 11046) as o + i*p**3 + m*p + r*p**2 and give m. 0 Rearrange 311*r + 0*r**2 + r**2 - 6053*r**3 + r**2 + 3025*r**3 - 1 + 3024*r**3 to h + g*r**2 + b*r + p*r**3 and give b. 311 Rearrange -631*z**2 + 1820*z**2 - 628*z**2 - 554*z**2 + 125 to the form a + x*z + y*z**2 and give y. 7 Rearrange -268*k - k**2 + 3*k**4 + 261*k + 15*k**4 + k**3 - 1 to v*k**2 + x*k + d + g*k**4 + p*k**3 and give d. -1 Express 114463 - 23*h**3 - 114461 + 2*h**2 + 3*h**2 as y*h**3 + w*h**2 + o*h + c and give y. -23 Express 2*b**4 + 285*b**3 + 144*b**3 + 2 - 86958*b + 86961*b + (2 + 3*b - 2)*(5*b - 5*b - 2*b**3) as c*b**3 + j*b**2 + z + a*b**4 + o*b and give a. -4 Express (-3*m + 2*m + 2*m)*(1748 + 1386 - 2518 + (-1 + 0 - 1)*(-4 + 14 + 7)) in the form g + x*m and give g. 0 Rearrange 22752 - 11378 - 11373 - 464*n to g + a*n and give a. -464 Express (-2 - 2 - 6)*(8*u + 3*u**2 - 8*u) - 306 - 102*u**2 + 306 in the form n*u**2 + l*u + q and give n. -132 Rearrange -84*v + 42*v**3 - 66*v**3 + 2*v**2 - 1 + 26*v**3 to a*v**3 + z*v**2 + i + l*v and give i. -1 Rearrange 31*y - 5771 - 19*y - 12*y + 2*y - 4703 to the form d*y + c and give c. -10474 Express -35*i - 165*i**2 + 1 + 346*i**2 - 178*i**2 as u*i**2 + m + j*i and give m. 1 Rearrange 3*v + 4*v - 19*v + (52 - 21 - 17)*(-3*v + 4*v - 2*v + (-3*v - 2*v + 2*v)*(5 - 3 - 3) - v - 2 + 2) to p*v + u and give p. 2 Express 4*a**3 - 45 - 30*a - a**2 + 29*a + 5*a**3 - 6*a**3 as i*a + y + l*a**3 + q*a**2 and give y. -45 Rearrange 3 + 2 + 5*r**3 - 3*r**3 + 1151*r**2 - 3 - 2771*r**2 to the form o*r**3 + u*r**2 + x + w*r and give u. -1620 Express (6*l + l - 5*l)*(18 + 0 - 48)*(-3 + 5 + 13)*(17*l**2 + 38 - 38) in the form u*l + t*l**3 + n + o*l**2 and give t. -15300 Express (4*u - 8*u + u)*(2*u**3 - u + u) + 115 - 115 + 3*u**4 - u**4 + 0 + 0 in the form g*u**2 + o*u**4 + i + d*u**3 + z*u and give o. -4 Express 5381819*z**3 + 107 - z**4 - 5381819*z**3 - 9*z**2 + z + 0*z**4 as p*z**2 + u*z**3 + c*z**4 + y + n*z and give y. 107 Rearrange ((3 + 1 - 2)*(-2 - b + 2) + 4*b - 3*b - 2*b)*(1657 - 3339 + 1645) to q + j*b and give j. 111 Rearrange (6 + 5 - 3)*(-1 - 4 - 2)*(0*n - n - 19*n + 5*n - 2*n - 2*n + (-2 + 3 + 0)*(2 - 2 + 2*n) - 6*n + 0 + 0 - 2*n - 2 + 2) to q + u*n and give u. 1400 Express 623*f + 512*f + 63*f - 2*f**2 - 235*f in the form c + h*f**2 + w*f and give h. -2 Express (-11921 - 11597 + 21242)*(2*q**4 + 9*q**4 - 4*q**4) as a*q**2 + d*q + c + j*q**3 + n*q**4 and give n. -15932 Rearrange -5 + 8 + 2*r**2 + 496*r**3 - 502*r**3 to the form
{ "pile_set_name": "DM Mathematics" }
g: 1, a: 2}. What is prob of picking 1 y and 1 l? 16/153 Three letters picked without replacement from uuqeuuquvyuuuuueyuuq. What is prob of picking 2 u and 1 q? 33/190 Three letters picked without replacement from {b: 2, a: 1, l: 1, g: 2}. What is prob of picking 1 b and 2 g? 1/10 Three letters picked without replacement from {i: 4, s: 1, e: 4, g: 2}. Give prob of picking 1 s and 2 g. 1/165 What is prob of picking 1 n and 3 c when four letters picked without replacement from {r: 1, c: 4, n: 2, s: 3, e: 4}? 8/1001 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {u: 1, v: 7, e: 3, b: 1, l: 1}. 7/26 Three letters picked without replacement from ooyebeeuoye. Give prob of picking 1 y, 1 e, and 1 b. 8/165 Two letters picked without replacement from qllbqllnlnbln. What is prob of picking 2 l? 5/26 Calculate prob of picking 1 i, 1 f, and 2 u when four letters picked without replacement from {f: 2, u: 5, i: 8}. 32/273 What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 1, q: 8, g: 1, y: 2, j: 1, e: 2}? 1/455 What is prob of picking 2 c when two letters picked without replacement from {c: 2, g: 4}? 1/15 What is prob of picking 1 p and 2 o when three letters picked without replacement from {u: 1, o: 3, n: 2, c: 1, p: 3, a: 1}? 3/55 What is prob of picking 1 c, 1 u, and 1 k when three letters picked without replacement from ujcuukujcuvjcj? 15/364 Two letters picked without replacement from cjppcpppcpcjp. What is prob of picking 2 p? 7/26 What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 6, m: 1, r: 4}? 1/11 What is prob of picking 2 e when two letters picked without replacement from eedryyjjiyid? 1/66 Calculate prob of picking 1 z and 3 k when four letters picked without replacement from essmkmskkszz. 2/495 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jjjjjjxxjjxjjjjj. 13/40 Two letters picked without replacement from azzarabrbbrraraarbz. Give prob of picking 1 z and 1 a. 2/19 What is prob of picking 3 u when three letters picked without replacement from zzzzzzzzuzuzuz? 1/364 Three letters picked without replacement from xxvvvvvxvxvvvvxmvvm. Give prob of picking 3 v. 220/969 Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {v: 4, y: 2, w: 1, f: 2, k: 1, n: 5}. 1/455 Two letters picked without replacement from {a: 2, u: 1, p: 4, f: 4, i: 4, c: 4}. What is prob of picking 2 p? 2/57 What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 5, n: 5, c: 7, d: 1}? 25/408 Calculate prob of picking 4 l when four letters picked without replacement from llllololol. 1/6 Three letters picked without replacement from raaaraaaaa. Give prob of picking 3 a. 7/15 What is prob of picking 3 q when three letters picked without replacement from {q: 7}? 1 Three letters picked without replacement from {m: 1, x: 12}. Give prob of picking 3 m. 0 Four letters picked without replacement from ioololoododooooooqoo. Give prob of picking 1 q, 2 o, and 1 l. 182/4845 Three letters picked without replacement from rmmomrrrmorr. Give prob of picking 3 r. 1/11 Calculate prob of picking 2 n when two letters picked without replacement from {k: 4, o: 2, n: 5, c: 2}. 5/39 Three letters picked without replacement from {s: 8, j: 4, h: 8}. What is prob of picking 3 h? 14/285 What is prob of picking 1 q, 1 x, and 2 m when four letters picked without replacement from xxmxqmmxmmx? 5/33 What is prob of picking 3 b when three letters picked without replacement from {b: 7, a: 3}? 7/24 Three letters picked without replacement from sajvivf. Give prob of picking 1 j, 1 i, and 1 a. 1/35 Three letters picked without replacement from meem. What is prob of picking 2 m and 1 e? 1/2 What is prob of picking 1 g and 2 r when three letters picked without replacement from {v: 3, r: 2, g: 4}? 1/21 Calculate prob of picking 3 m when three letters picked without replacement from omomoomomoimomimomm. 28/323 Two letters picked without replacement from jjbjjjbjzjybjjby. What is prob of picking 2 y? 1/120 What is prob of picking 1 r, 1 u, 1 o, and 1 c when four letters picked without replacement from rczou? 1/5 Calculate prob of picking 1 n and 2 f when three letters picked without replacement from otntjjnfnfnoonnynj. 7/816 What is prob of picking 1 a, 2 k, and 1 r when four letters picked without replacement from rrkkkkaar? 2/7 What is prob of picking 2 l and 1 o when three letters picked without replacement from yzklwkklylozkw? 3/364 Two letters picked without replacement from bvbvvjvb. What is prob of picking 2 v? 3/14 Four letters picked without replacement from {z: 3, p: 1, b: 1}. What is prob of picking 1 p and 3 z? 1/5 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from nkwnkwkxxkkkwkkkkakk. 3/95 What is prob of picking 2 s and 1 f when three letters picked without replacement from {s: 3, f: 2}? 3/5 What is prob of picking 1 e, 1 y, 1 b, and 1 u when four letters picked without replacement from oyoboeuebyobbbbyboe? 21/1292 What is prob of picking 3 a when three letters picked without replacement from {a: 5, j: 2, b: 2}? 5/42 Two letters picked without replacement from hhrfbefrhrr. What is prob of picking 1 b and 1 e? 1/55 Two letters picked without replacement from {y: 1, u: 1, d: 7, r: 9}. What is prob of picking 1 d and 1 u? 7/153 What is prob of picking 2 k when two letters picked without replacement from kskv? 1/6 Two letters picked without replacement from wwqgwqw. What is prob of picking 2 q? 1/21 Two letters picked without replacement from {x: 9, k: 7}. Give prob of picking 2 x. 3/10 What is prob of picking 3 a when three letters picked without replacement from {a: 5, g: 9}? 5/182 Calculate prob of picking 2 q and 1 b when three letters picked without replacement from qblxbzxqquqb. 9/110 Two letters picked without replacement from jxpjjpxjdjpxpdj. What is prob of picking 2 x? 1/35 Four letters picked without replacement from fvnvvxnhvvvffh. Give prob of picking 2 h and 2 f. 3/1001 Three letters picked without replacement from {d: 1, y: 1, v: 1, b: 1, j: 9, x: 2}. What is prob of picking 1 y and 2 j? 36/455 What is prob of picking 2 v and 1 s when three letters picked without replacement from bsvvls? 1/10 Two letters picked without replacement from fwfowooowwwweewoofwo. What is prob of picking 1 o and 1 f? 21/190 Two letters picked without replacement from reuuqqquei. Give prob of picking 1 u and 1 r. 1/15 Three letters picked without replacement from {y: 3, m: 6, c: 6}. What is prob of picking 3 y? 1/455 What is prob of picking 1 t, 1 m, and 1 k when three letters picked without replacement from {k: 5, m: 1, c: 1, t: 2}? 5/42 Calculate prob of picking 1 p and 1 c when two letters picked without replacement from hhhhycschcphpphshhpc. 8/95 What is prob of picking 2 d when two letters picked without replacement from {a: 1, s: 7, x: 3, g: 1, d: 4, l: 2}? 2/51 Calculate prob of picking 1 i and 2 e when three letters picked without replacement from izisiiefe. 1/21 Three letters picked without replacement from ycyccccccy. Give prob of picking 3 c. 7/24 Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 6, g: 11, q: 2}. 5/1292 Calculate prob of picking 1 o, 1 c, and 1 b when three letters picked without replacement from cbbococco. 2/7 Two letters picked without replacement from {d: 6, o: 13}. Give prob of picking 2 o. 26/57 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 4, b: 3, k: 1}. 8/45 Three letters picked without replacement from {o: 2, v: 1, i: 1, t: 3}. What is prob of picking 1 i, 1 v, and 1 t? 3/35 Three letters picked without replacement from eaaaaeaeaaeaaeeaaa. Give prob of picking 2 a and 1 e. 33/68 Calculate prob of picking 3 l and 1 q when four letters picked without replacement from {f: 2, q: 1, r: 1, l: 3}. 1/35 Three letters picked without replacement from ktsscckksskkttsskt. Give prob of picking 1 k and 2 c. 1/136 Four letters picked without replacement from yxxyxhaxxxxxxx. Give prob of picking 2 y and 2 x. 45/1001 Three letters picked wit
{ "pile_set_name": "DM Mathematics" }
What is the remainder when g(b) is divided by 5? 3 Let u(w) = w**3 + 19*w**2 - 20*w + 2. Let y be u(-20). Suppose -4*z + y*t = -16, 3*t + 5 = -7. Calculate the remainder when z is divided by 1. 0 Let v(q) = -9*q - 12. Let w(m) = 5*m + 6. Let g(f) = -6*v(f) - 11*w(f). Let l be g(4). Suppose z - l = -z. Calculate the remainder when z is divided by 1. 0 Let r(l) = -21*l**3 + 2*l. Let f be r(-2). Suppose x + f = 5*x. Let b = -91 + 113. What is the remainder when x is divided by b? 19 Let z(t) = t**2 + 4*t. Let h be z(-4). What is the remainder when (22 - 18) + 91 + h is divided by 14? 11 Let i(w) = w - w**3 + 36*w**2 - 36*w**2. Let n(r) = 3*r**3 + 5. Let p(h) = 4*i(h) + n(h). Calculate the remainder when p(-4) is divided by 18. 17 Let n be (-16)/(-10) + (-18)/(-45). What is the remainder when 43 is divided by 45/3*2/n? 13 Let m(u) = -u + 10. Let o be m(7). Suppose b = o*b - 48. Calculate the remainder when b is divided by 9. 6 Suppose -3*l + 45 = -135. Suppose l = 2*z + 3*z. Calculate the remainder when (2 - 5) + 8*6 is divided by z. 9 Let d(y) = y**2 - 9*y + 11. Let a be d(8). Suppose -3*r + 2*p = -61, 5*p + 31 = a*r - 27. What is the remainder when r is divided by 6? 3 Suppose 4*s = -s - 380. Let a = s - -111. Suppose -106*l - 4*o - 30 = -107*l, -2*l + 24 = 4*o. What is the remainder when a is divided by l? 17 Let p(b) = -b**2 - 17*b + 7. What is the remainder when 72 is divided by p(-15)? 35 What is the remainder when (4/(-1) + 3)/(3/(-309)) is divided by 12? 7 Let r be 12716/16 + (-1)/12*-3. Suppose 312 - r = -3*i. What is the remainder when i is divided by 27? 26 Suppose -3*n = -191 + 53. What is the remainder when n is divided by 22? 2 Suppose 3652 = 5*i + 17*i. What is the remainder when i is divided by 35? 26 Suppose 14*m - 345 = -9. Calculate the remainder when 84 is divided by m. 12 Let t = 356 - 256. Calculate the remainder when t is divided by 12. 4 Let q = 49 - 19. Calculate the remainder when 26 is divided by (14/(-14))/((-2)/q). 11 What is the remainder when 2*21*(-5)/(-10) is divided by 16? 5 Let c = -64 - -33. Let n = c + 63. Calculate the remainder when n is divided by 17. 15 Let c be ((-8)/10)/(8/(-140)). Let x = -358 + 367. Calculate the remainder when c/(-7) - (-56)/2 is divided by x. 8 Suppose 4*g + 30 = 182. Let p = g + -9. Let l = p - 19. What is the remainder when 38 is divided by l? 8 Let q(i) = -13*i**2 + 95*i - 2. What is the remainder when q(7) is divided by (-4 - (-2)/1) + 17? 11 Let x be (-10)/3 + (-8)/12. What is the remainder when 27 is divided by 8 + -1*(-4)/x? 6 Suppose h - 5*o = 104, 0 = 3*h - 5*o + 7*o - 346. What is the remainder when h is divided by 18? 6 Calculate the remainder when 304 is divided by ((-1)/(-3))/((-52)/(-12324)). 67 Let m(l) = 31*l - 289. What is the remainder when 263 is divided by m(13)? 35 Let d = -51 - -52. Calculate the remainder when 43 is divided by 34/8*(0 + 3 + d). 9 Let b = 1562 - 1401. Calculate the remainder when 797 is divided by b. 153 Let s = 1251 + -1222. Let w(q) = 4*q. Calculate the remainder when s is divided by w(4). 13 Calculate the remainder when 857 is divided by (1 - -6) + 0/(-6) + 6. 12 Suppose -4*y = 5*p - 287, -5*y - p + 229 = -2*y. What is the remainder when y is divided by 28? 22 Let x be -51 + (4 + -6)*-1. Let u = x + -36. What is the remainder when 34/u + (-424)/(-10) is divided by 11? 9 Let g = -449 + 676. What is the remainder when g is divided by 23? 20 Suppose 64 = 5*l - 2*p, -68 = -4*l + p - 5*p. Suppose 10*z - l*z - 304 = 0. Let w = z - -110. Calculate the remainder when w is divided by 18. 16 Suppose 266 = 6*b - 64. Calculate the remainder when b is divided by 12. 7 Suppose -17*t + 816 = -13*t. Let a = -123 + t. Calculate the remainder when a is divided by 18. 9 Let k(v) be the first derivative of v**2/2 - 4. Let l be k(2). Calculate the remainder when (8 + -1)*2/l is divided by 4. 3 Let n = -4579 + 4595. Suppose -2*i + 0*i + 156 = 0. Calculate the remainder when i is divided by n. 14 Let i(m) = -157*m - 194. Calculate the remainder when i(-10) is divided by 51. 50 Suppose 2*h - t = -12, 0*h + 3*t = -4*h - 4. Let n = 4 - h. Calculate the remainder when n is divided by 6. 2 Suppose -5*q = -3*s - 119, 2*s = q - 18 - 10. Suppose t - 4 = -t. Suppose 0 = t*g + g - 195. Calculate the remainder when g is divided by q. 21 Let t = -21 - -24. Suppose -t*l - 3 + 57 = s, -5*s + 36 = 2*l. What is the remainder when l is divided by 1*(0 - 1) - -6? 3 Let a = 1450 + -811. What is the remainder when a is divided by 107? 104 Suppose 0 = h + 176 - 28. What is the remainder when 110 is divided by (h/(-6))/((-6)/(-9))? 36 Suppose 4*c - 28 = 2*c. Let a be 4 - (-3 + (-2 - -10)). What is the remainder when c is divided by (-9)/a + (-10)/2? 2 Let y(g) = -47*g + 1529. What is the remainder when y(31) is divided by 19? 15 Suppose -4*b = 7*m - 3*m - 32, 2*b = -m + 12. Suppose 0 = m*o - 7 + 3. What is the remainder when o is divided by 1? 0 Let a(s) = -10*s - 25. What is the remainder when 274 is divided by a(-5)? 24 Suppose 4*p = p + 6. Suppose -p*r + 0*r = -90. Calculate the remainder when r is divided by 23. 22 Let p = -387 - -636. Calculate the remainder when p is divided by 18. 15 Suppose -483 = -11*u + 287. Calculate the remainder when u is divided by 18. 16 Suppose -5*p + 370 = 5*x, 7*x + 160 = 2*p + 6*x. Calculate the remainder when 150 is divided by p. 72 Let f(g) = g**2 - 5*g - 4. Let q be f(6). Let z be -1 + 26/1 - q. Let m = z + -5. Calculate the remainder when 51 is divided by m. 15 Let a(d) = d**2 + 3*d - 55. What is the remainder when 148 is divided by a(9)? 42 Let y(m) = -m**2 - 7*m + 5. Let d = -14 - -24. Suppose d - 59 = -j. Calculate the remainder when j is divided by y(-4). 15 Let p(y) = y**3 + 6*y**2 - 8*y - 5. Calculate the remainder when p(-6) is divided by (-1955)/34*((-32)/(-20) + -2). 20 Let c(f) = f**3 + 10*f**2 + 14*f - 12. What is the remainder when 193 is divided by c(-7)? 8 Suppose -4*k + 10 = 5*u, 11 = -2*u + 4*k - 13. Let h be (-21)/9 + u/3. Let l(p) = -p**3 - 3*p + 2. What is the remainder when l(h) is divided by 13? 12 Suppose 4*s - 84 = -904. Let i = 306 + s. What is the remainder when i is divided by 34? 33 Let g(o) = 2*o - 3. Let q be g(3). Calculate the remainder when 39 is divided by (-60)/(-8)*4/q. 9 Let t = 23 + -25. Let v be ((-3)/t)/(9/312). Let g = -21 + v. Calculate the remainder when 59 is divided by g. 28 Suppose -4*m + 4*t + 103 = -61, 129 = 3*m - 5*t. Suppose 44 = -v - u + 121, 4*u - 160 = -2*v. What is the remainder when v is divided by m? 36 Let j be 1/((-150)/76 - -2). Let r = j + -25. Let d(i) = i + 50. What is the remainder when d(0) is divided by r? 11 Suppose -4*n + 30 = 5*v, 4*n - 15 = n. Suppose -12 = -v*w + 30. Calculate the remainder when 59 is divided by w. 17 Let d(v) = -v**3 - 10*v**2 + 3. Let y be d(-10). Let i(x) = 18*x - 12. Calculate the remainder when 125 is divided by i(y). 41 Calculate the remainder when (938/2)/(-7)*(1 + -2) is divided by 24. 19 Suppose 5*m - 83 = -4*g, 6*g - 4*g = -3*m + 49. What is the remainder when -3*4/12*-39 is divided by m? 9 Let h = 23 - 14. Let v = -8 + 14. Calculate the remainder when h is divided by v. 3 Suppose -5*l - 174 - 56 = 0. Let c(p) = p**3 + 3*p**2 + 2*p - 11. Let d be c(-3). Let a = d - l. What is the remainder when 85 is divided by a? 27 Suppose -67 = 5*g + 8. Calculate the remainder when (-5)/(g/99) + -2 is divided by (-102)/9*(-9)/6. 14 Suppose -92 - 223 = -5*b. Calculate the remainder when b is divided by 29. 5 Let w(v) = 16*v - 44. Calculate the remainder when 63 is divided by w(5). 27 Let j = 6 + 2. Suppose 2*b + j = 52. Suppose 3*c - 2*y - 101 = -b, -3*c - 2*y = -59. Calculate the remainder when c is divided by 6. 5 Let f be ((-101)/(-2) - -2) + (-10)/20. Let w = 84 - f. Calculate the remainder when 61 is divided by w. 29 Let k = -32 - -54. Suppose 9*a - 11*a = -k. What is the remainder when a is divided by 7? 4 Suppose -209 = 14*s - 193 - 142. Calculate the remainder when (-188)/(-6) + (-2)/(-3) is divided by s. 5 Calculate the remainder when 6 + 39088/70 + 6/10 is divided by 27. 25 Suppose 9 = 4*r - 7. Suppose 78*a + 15017 - 21725 = 0. Calculate the remainder when a is divided by r. 2 Let x = 159 + -36. Calculate the remainder when x is divided by 25. 23 Let j
{ "pile_set_name": "DM Mathematics" }
64 Simplify (-2*(-2 + sqrt(3)*-3) + (sqrt(108)/sqrt(3))/sqrt(12) + -5)**2. -14*sqrt(3) + 148 Simplify 2*(sqrt(5) + (sqrt(5) - 6*(-4*sqrt(5))**2)) - (-4*(sqrt(5) + 0) - -5*(sqrt(125))**2). -1585 + 8*sqrt(5) Simplify (-5*1*(sqrt(133) - ((sqrt(133) - (sqrt(133) - 2*sqrt(133))) + sqrt(133)) - sqrt(133)))/(2*sqrt(77)/(sqrt(55)/sqrt(5))). 15*sqrt(19)/2 Simplify ((5*sqrt(396)/sqrt(144))/(3*sqrt(484)*-1))**2. 25/1584 Simplify -1*-6*((sqrt(572) - -3*sqrt(572))*-4)/sqrt(11). -192*sqrt(13) Simplify ((5*(-1*sqrt(117)*-2 - sqrt(117)))/(sqrt(54)/(sqrt(6) + (sqrt(96)*-4 - sqrt(6)))))**2. 83200 Simplify (2*(sqrt(88) + (sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88))) + sqrt(88) + sqrt(88))/(sqrt(16)/(4*sqrt(2))). 16*sqrt(11) Simplify 5*(4 + -1 + sqrt(175) + -2 - (1*(sqrt(175) + sqrt(175) + 1) + -2 + -1*sqrt(175)))**2. 20 Simplify -4 + ((sqrt(1053) + 0 + sqrt(1053))*4)**2 + sqrt(1053)*1*5. 45*sqrt(13) + 67388 Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4). 2298 Simplify (sqrt(360) + sqrt(360) + (sqrt(360) - (sqrt(360) - (sqrt(360) - (sqrt(360) - -2*sqrt(360))))) + sqrt(360))/((sqrt(1000) + sqrt(10))/sqrt(5)). 6*sqrt(5)/11 Simplify ((-1*sqrt(342) + sqrt(342))*-4)/(2*(sqrt(2) - (sqrt(2) - (sqrt(18)/(sqrt(9) - ((sqrt(9) - sqrt(225)) + sqrt(9) + sqrt(9)) - sqrt(9)) - sqrt(2))))). 0 Simplify (-6*(2 + sqrt(112)) + 0 + 3)**2. 432*sqrt(7) + 4113 Simplify -3 + -5*(sqrt(99) - (sqrt(99) - (-2 + sqrt(99) + 2))**2)*1*-6. -3 + 90*sqrt(11) Simplify (sqrt(32) + 1)*4 + (3 + (1 + sqrt(2))**2 - sqrt(2)) + sqrt(8)/sqrt(4)*4. 10 + 21*sqrt(2) Simplify (sqrt(20) - (sqrt(20) + -2*sqrt(20)))/sqrt(4) + (sqrt(5) + (sqrt(5) - sqrt(45)))*-2 + sqrt(10)/(2*sqrt(18)). 25*sqrt(5)/6 Simplify (1 + -2*sqrt(288) + 0)**2 - (((sqrt(288) - -1*sqrt(288)) + sqrt(288))*6 + sqrt(288) - (sqrt(288) + (sqrt(288) - (1 + sqrt(288) + -1))))**2. -92159 - 48*sqrt(2) Simplify (-1 + 3 + (sqrt(128) + -2)*-6)*-2 + 1. -27 + 96*sqrt(2) Simplify (sqrt(224)/(sqrt(32)/(sqrt(4) + sqrt(4)*3 + sqrt(4))))/(-3*sqrt(16)*-3). 5*sqrt(7)/18 Simplify 6*(sqrt(45)/((sqrt(18) - (-2*sqrt(18) + sqrt(18)))/sqrt(2)) - (-3*(sqrt(15)/sqrt(3))**2 + 5)). 3*sqrt(5) + 60 Simplify -6*(sqrt(200)/sqrt(10) - sqrt(5)*5*2). 48*sqrt(5) Simplify -2*((4 + (sqrt(1539) - (sqrt(1539) + -1)) - (-4 + (sqrt(1539)*1 - sqrt(1539)))) + -3)**2*4. -288 Simplify sqrt(245) + (sqrt(245)*6 - sqrt(245))**2 + sqrt(245) + -1 + sqrt(245) + -2*sqrt(245)*-4. 77*sqrt(5) + 6124 Simplify (-1*sqrt(152)*-1 + -1*sqrt(152)*-2)/(sqrt(32)/(sqrt(36)*2)). 18*sqrt(19) Simplify (3 + ((2 + sqrt(325) + sqrt(325))*-1 - -3*(sqrt(325) + 0)))**2. 10*sqrt(13) + 326 Simplify (-6*-2*sqrt(567) + sqrt(567) + -1 + -5)**2*4. -5616*sqrt(7) + 383436 Simplify -3*-5*(sqrt(76) - sqrt(19)) - sqrt(171)/(sqrt(99)/sqrt(99)). 12*sqrt(19) Simplify 1 + (-3 + ((sqrt(2592) - sqrt(2592)*-1) + sqrt(2592) + sqrt(2592))*1)**2. -864*sqrt(2) + 41482 Simplify 1 + (-1 + sqrt(275))**2 - (3*sqrt(275)*-5)**2. -61598 - 10*sqrt(11) Simplify (-1 + -2 + sqrt(3) + 0 + -1 + sqrt(3))*-1*4 + -3. -8*sqrt(3) + 13 Simplify ((-2*(-1 + sqrt(1216)) + sqrt(1216))*-4 - (5 + -4*(sqrt(1216) + 3)))**2. -128*sqrt(19) + 77825 Simplify (sqrt(450)/(2*sqrt(10)) - (-5*sqrt(45)*-2 + sqrt(45) - sqrt(45)))/(6*(-2*sqrt(9) + sqrt(9) - sqrt(9)) + sqrt(90)/sqrt(90)). 57*sqrt(5)/70 Simplify 4*((-2 + sqrt(112)*2 - (-2*sqrt(112) + -4))**2 + 3)*4. 1024*sqrt(7) + 28784 Simplify (4 + sqrt(27) + 4 + sqrt(3))**2 - (-5 + sqrt(300) + 2 + sqrt(300) + sqrt(300)). 34*sqrt(3) + 115 Simplify (1 + -2*(sqrt(2) - (sqrt(4)/sqrt(2) + 1)) + 2)*-3. -15 Simplify (1*(-3 + sqrt(117) + 0 + sqrt(117) - (sqrt(117) + -4 + 0)))**2. 6*sqrt(13) + 118 Simplify 2*(-1 + sqrt(76) + -4 - sqrt(76))*6 + -2. -62 Simplify sqrt(20)/(sqrt(100)/sqrt(10))*4 - ((sqrt(2) + sqrt(50) + -2)**2 + -1*(-2*sqrt(2) - sqrt(2))). -76 + 25*sqrt(2) Simplify (((3*1*sqrt(264))/sqrt(11))/((sqrt(768) + 2*sqrt(768))*-1 - sqrt(768)))**2. 9/512 Simplify -5 + sqrt(432)*2 + sqrt(432) + (3*sqrt(192)*1 - sqrt(192))**2. 36*sqrt(3) + 763 Simplify 2*(-5*sqrt(225)*-6)/(sqrt(605) - -1*(2*sqrt(605) - sqrt(605))). 90*sqrt(5)/11 Simplify ((4*1*sqrt(171)*1)/(sqrt(63)/((sqrt(7) + sqrt(42)/sqrt(6))*5 - sqrt(7))))**2. 24624 Simplify (4*sqrt(44) - (2 + sqrt(176))**2)*-4. 32*sqrt(11) + 720 Simplify ((sqrt(88)*1 - sqrt(88))*-4)/sqrt(8) - ((sqrt(704) + -1)**2 + 5*(sqrt(22)/sqrt(2))**2). -760 + 16*sqrt(11) Simplify (sqrt(847)*1 + 4 - (4 + 1*sqrt(847)) - (-4*2*sqrt(847) + sqrt(847) + -1 + (-2*sqrt(847) - sqrt(847))))**2. 220*sqrt(7) + 84701 Simplify (-3 + (sqrt(833) + 0 - sqrt(833)) + sqrt(833) - (sqrt(833) - (sqrt(833) + 2*sqrt(833)))*-6)**2 - (sqrt(833) + -2*(-2 + sqrt(833)))*-2. 448*sqrt(17) + 100810 Simplify 2*(1 + -3 + (sqrt(68))**2 - 1*(sqrt(136) - sqrt(136)*1)/sqrt(8)). 132 Simplify (-1 + (2*(-3 + sqrt(17)) - sqrt(17)))**2 + 4 + sqrt(272) + sqrt(17) + 1 + sqrt(17) + 0. -8*sqrt(17) + 71 Simplify 1 + (4 + (sqrt(55)/(sqrt(11)*-1) - sqrt(125)*-4))**2. 152*sqrt(5) + 1822 Simplify 0 + (sqrt(297)/(sqrt(1089)*2 - sqrt(1089)))/((sqrt(220) + sqrt(55))/sqrt(5) - sqrt(66)/(sqrt(54) - sqrt(6))). 2*sqrt(3)/55 Simplify (((5 + -1 + sqrt(99) - ((-5 + sqrt(99)*2 - sqrt(99)) + sqrt(99))) + 2)*6)**2. -2376*sqrt(11) + 7920 Simplify -5 + (-2 + sqrt(931) + sqrt(931) + 0 + sqrt(57)/(-2*sqrt(192)))**2. -223*sqrt(19)/4 + 944595/256 Simplify (-1*sqrt(315)/sqrt(5))/(sqrt(9) - (sqrt(288)/sqrt(2) + sqrt(9))) + -3 + -1. -4 + sqrt(7)/4 Simplify (6*6*(sqrt(175) + -4*(1 + sqrt(175)) + sqrt(175))*-5)**2. 2592000*sqrt(7) + 23198400 Simplify ((sqrt(800)*-2)/(sqrt(1200)/sqrt(12))*1)**2. 32 Simplify (sqrt(4719) + (sqrt(4719) + sqrt(4719) + 4*sqrt(4719) - sqrt(4719)) - sqrt(39))/sqrt(300). 13*sqrt(13)/2 Simplify -1*((sqrt(147) - (sqrt(147) + sqrt(147) + 3 + sqrt(147)))*-5 + -4). -70*sqrt(3) - 11 Simplify ((sqrt(240)/sqrt(8))/sqrt(5))/(-6*(sqrt(3) + (2*sqrt(3) - sqrt(3)))). -sqrt(2)/12 Simplify -3*((2 + 1*sqrt(19) + 0 + sqrt(1216))**2 + 2)*-4. 432*sqrt(19) + 18540 Simplify (-2*sqrt(325)*-4 + 0 - (2 + -4*(sqrt(325) + sqrt(325) + 0 + sqrt(325))))**2*1. -400*sqrt(13) + 130004 Simplify (6*((sqrt(270)*5)/sqrt(9))/(sqrt(30)/(sqrt(20)/sqrt(4))))**2. 4500 Simplify (6*(0 + sqrt(99) + 1 + -4))**2. -648*sqrt(11) + 3888 Simplify 5*((-3 + (sqrt(252) + sqrt(63))/sqrt(9) + -2)**2 + 3). -150*sqrt(7) + 455 Simplify 5 + -6*((sqrt(192) - -2*sqrt(192)*4)**2 + sqrt(192)). -93307 - 48*sqrt(3) Simplify (-5*sqrt(49)/sqrt(7))**2 + -4 - (2 + sqrt(567) + 4)**2. -432 - 108*sqrt(7) Simplify -3*sqrt(51)/(sqrt(147)*-1)*3. 9*sqrt(17)/7 Simplify ((sqrt(80)*-1)/sqrt(8))/(sqrt(20) + sqrt(80)/sqrt(4)) + -4*(sqrt(2) - sqrt(8)/(sqrt(12)/sqrt(3)))*-1. -sqrt(2)/4 Simplify (((sqrt(637) + -3 - sqrt(637))*-5)**2 - sqrt(637)) + 5*(sqrt(468) + -2). 23*sqrt(13) + 215 Simplify 2 + -4 + (4*(sqrt(4) + sqrt(24)/sqrt(6)))/(sqrt(18)/sqrt(324)). -2 + 48*sqrt(2) Simplify sqrt(117)*-2 + -1 + sqrt(39)/sqrt(3) - (sqrt(13) + (sqrt(65) + -1*sqrt(65))/sqrt(5) + (sqrt(13) + 1)**2 + -5). -8*sqrt(13) - 10 Simplify (-1 + (2*sqrt(20)*5 - -2*sqrt(20)*3) + 3)**2. 128*sqrt(5) + 5124 Simplify -1 + (4 + (sqrt(1900) + (-2*sqrt(1900))**2 + -3 - sqrt(1900)))*-5*4. -152021 Simplify ((sqrt(21)/(4*sqrt(7))*2)**2 + ((sqrt(6)/sqrt(2)*6)**2 - (3 + sqrt(3) + -1)))*1. -sqrt(3) + 427/4 Simplify (-1 + (sqrt(468) - 5*(sqrt(468) + sqrt(468) + -1)) + (sqrt(468) - 4*sqrt(468)*1) + sqrt(468) + 2 + -1 + sqrt(468) + sqrt(468))**2. -540*sqrt(13) + 37933 Simplify -5*((sqrt(8064)*1 - sqrt(8064)) + sqrt(8064))/(sqrt(64)/sqrt(32)). -120*sqrt(7) Simplify (4*-5*sqrt(60) + sqrt(60))/(sqrt(12) + ((sqrt(96) - (sqrt(96) + 5*sqrt(96))) + sqrt(96) - sqrt(96) - sqrt(96))/sqrt(8) + sqrt(12)). 19*sqrt(5)/4 Simplify sqrt(34)/sqrt(50) + (sqrt(17)*-2 + sqrt(17) + 3)**2 + sqrt(204)/(sqrt(12)*-1) + (sqrt(1088)*-1 - sqrt(17))**2. -34*sqrt(17)/5 + 1403 Simplify 1*((sqrt(143) + -5*(sqrt(143) + 2*sqrt(143)) + sqrt(143) + sqrt(143))/(-2*sqrt(44)) + -3). -3 + 3*sqrt(13) Simplify -6*4*sqrt(252)/sqrt(4)*2. -144*sqrt(7) Simplify ((sqrt(51)/sqrt(3) + 4 + (sqrt(17) + 4)*4)*-1)**2. 200*sqrt(17) + 825 Simplify -5 + 0 + (sqrt(1323)/sqrt(9) - (sqrt(21) + sqrt(168)/sqrt(8))/sqrt(7)) + -2. -7 + 5*sqrt(3) Simplify sqrt(931)*-3 + -2 + (2 + sqrt(19))*-1 + 1. -22*sqrt(19) - 3 Simplify ((5*-2*sqrt(114)*1)/((1*sqrt(66)*-6 + sqrt(66) - sqrt(66))/sqrt(11)))**2. 475/9 Simplify (-4 + -2 + sqrt(55)/(sqrt(20)/
{ "pile_set_name": "DM Mathematics" }
3*t + 36 = -2*f + 96. List the prime factors of t. 2, 11 Suppose -2*q + 4 + 0 = -x, 0 = x - 2. Suppose 0 = 5*m - h - 159, -q*m - 5*h = -0*h - 101. What are the prime factors of m? 2 Suppose 0 = 7*h - 8600 - 640. List the prime factors of h. 2, 3, 5, 11 Let x be -15*4/(-15)*-3. Let t(a) = -a**3 - 12*a**2 - 3*a - 5. Let r be t(x). Let g = r + -10. List the prime factors of g. 3, 7 Let k(i) = -2 + 22*i**3 + 33*i - 65*i + 31*i. List the prime factors of k(2). 2, 43 Let h(y) = -4*y**2 - 5*y. Let z be h(-5). Let v = z + 39. Let u = v + 80. What are the prime factors of u? 2, 11 List the prime factors of (995 - 7) + 0/1 + -5. 983 Suppose -4*d + 1464 = 56*q - 55*q, 4*q - 5898 = -2*d. What are the prime factors of q? 2, 3, 41 Let c be (-5532)/(-48) + 2/(-8). Let m = 189 - c. Suppose m = 4*d - 22. List the prime factors of d. 2, 3 List the prime factors of 2/(30/5)*5*111. 5, 37 Let b = 2608 + 654. What are the prime factors of b? 2, 7, 233 Suppose 0 = -3*w + w + o + 11, -5*w - 3*o = -22. Let j = -9 - -11. Suppose -w*t - 40 = -j*b, 4*t - 7*t - 100 = -5*b. What are the prime factors of b? 2, 5 Let a(i) = -i + 1. Let x be (-3)/(-2) + (-3)/6. Let q = x + -2. List the prime factors of a(q). 2 Let u(c) = 4*c**2 - 56*c - 3. List the prime factors of u(24). 3, 11, 29 Suppose -g + f + 10 = 0, 2*g - 5*f = 20 - 3. Let v = 10 + g. What are the prime factors of (-4)/7 + 642/v? 2, 3, 5 Suppose 2*v = l + 16, -4*v - 4*l - 1 = -9. Let p = -2 + v. What are the prime factors of 59/5 + p/20? 2, 3 Suppose 4*m - 284 = -h, 0 = -m - 2*m + 9. What are the prime factors of h? 2, 17 Suppose m - 2 - 2 = 0. Suppose -3*x = -m*w + 595, 37 + 116 = w - 5*x. What are the prime factors of w? 2, 37 Suppose 0 = 9*l + 31*l - 64920. What are the prime factors of l? 3, 541 Let d be (-4)/10 + 216/40. Suppose 2*p + d*p - 532 = 0. List the prime factors of p. 2, 19 Let z(p) = -p**3 - 7*p**2 - 4*p + 4. Let o be z(-6). Let m(c) be the first derivative of -c**2/2 + 2*c - 1. What are the prime factors of m(o)? 2, 5 List the prime factors of (-88023)/(-195) - 2/5. 11, 41 Let p(b) = b + 25. Let n be p(19). Suppose -2*t + 3*a = a - 46, -2*t = -4*a - n. What are the prime factors of t? 2, 3 Suppose 2*b - 19 = -3. Let a = b + -20. List the prime factors of (-100)/(-6)*(-18)/a. 5 Let q = 241 - 119. What are the prime factors of q? 2, 61 Suppose -5*y + 6 + 4 = 0. Suppose -2*f + 6*f - x - 477 = 0, f + 4*x = 132. Suppose -y*t - f = -7*t. List the prime factors of t. 2, 3 Suppose 17 - 23 = -3*o. Suppose -59 = 3*f - 3*i - 20, -f - o*i = 4. What are the prime factors of ((-4)/3)/(f/150)? 2, 5 Let z be 3*-1*(3 + -2). Let t be 1 - 1*(8 - z). List the prime factors of (t/4)/(1/(-14)). 5, 7 Suppose -2*p + 7*p = -5*d + 1115, 1338 = 6*p + d. List the prime factors of p. 223 Let a(z) = -25*z + 5 - 4 + 7*z**2 + 27*z - 26. What are the prime factors of a(-7)? 2, 19 Suppose 4*s + 4*x - 451 - 93 = 0, 5*s - 656 = x. What are the prime factors of s? 2, 3, 11 Let o(k) = -k**3 - 18*k**2 + 2*k - 37. Let c(z) = 2*z**3 + 35*z**2 - 5*z + 74. Let a(q) = -6*c(q) - 11*o(q). List the prime factors of a(-13). 2, 7 Suppose 47527 = 21*l + 1432. List the prime factors of l. 5, 439 Suppose 11*p = 16*p. Suppose -6*a + 8*a - 236 = p. What are the prime factors of a? 2, 59 Suppose 4*h - 3*d = -2*d + 18, -5*d - 2 = 2*h. Let o(f) = 8*f + 6. What are the prime factors of o(h)? 2, 19 Let v = -48 - 174. Let y = 361 + v. What are the prime factors of y? 139 What are the prime factors of (-255)/(-45)*(177 - 0)? 17, 59 Let m(l) = 35*l - 124. List the prime factors of m(18). 2, 11, 23 Let h(o) = -128*o**3 - 12*o**2 - 6*o + 2. What are the prime factors of h(-3)? 2, 421 Let b(z) = 5*z**2 - 3*z + 5. Let r be b(4). Suppose -r = 3*w - 298. Let a = w - 39. What are the prime factors of a? 2, 3 Let a = -68 + 58. What are the prime factors of 1*59 - (a - -11)? 2, 29 What are the prime factors of -2 + (-3312)/(-9) + 6? 2, 3, 31 Suppose -451 = -2*k - 5*l, 4*l + 0*l = 2*k - 496. Let r = 466 - k. What are the prime factors of r? 2, 3, 19 Let h(c) = c**3 + 15*c**2 + 20*c + 24. Let n be h(-13). Let q = 13 + n. What are the prime factors of q? 5, 23 Let d = -546 + 966. List the prime factors of d. 2, 3, 5, 7 Suppose 0 = -j - 2 - 0. Let l be (j - 0) + -1 - -7. Suppose 2*x + i - 34 = 36, -l*i - 201 = -5*x. What are the prime factors of x? 37 Let p = -3 - -6. Suppose p*r - 29 = -2*r + 2*y, 2*r = -4*y + 2. Suppose 3*g - r*g = -42. List the prime factors of g. 3, 7 Let r = -82 + 79. List the prime factors of 1/r + (-1524)/(-9). 13 Suppose 4*y - 32*y = -59976. List the prime factors of y. 2, 3, 7, 17 Suppose -9 = -5*z + 4*d + 261, -5*z + 270 = 2*d. Let o = z + 87. List the prime factors of o. 3, 47 Let z = 2228 + -1203. What are the prime factors of z? 5, 41 Suppose -45*n - 11*n + 177352 = 0. What are the prime factors of n? 3167 Let i(b) = 7 - 8 + 61*b + 1. List the prime factors of i(1). 61 List the prime factors of -6 + (-35)/(-28) + (-14862)/(-8). 17, 109 Let z(d) = 3*d**2 - 4*d - 2. Let p be z(2). Suppose t = p*f + 2*f + 21, 29 = 3*t + 5*f. Let m = 44 - t. List the prime factors of m. 31 Let h(t) = t**2 + 5*t + 4. Let l be h(-4). Let q(c) = 29*c**2 + 6 - 4 + 12 - 30*c**2. List the prime factors of q(l). 2, 7 List the prime factors of ((-189)/(-12) - 16)/(2/(-40408)). 5051 Let i(c) = -102*c + 94. What are the prime factors of i(-25)? 2, 661 Let w be (-7)/14 - (-21)/2. Let v(j) = j - 10. Let i be v(w). Suppose i = -0*d - d + 2*z + 28, -3*z = -2*d + 58. What are the prime factors of d? 2 Let k(a) = -135*a. Let l be k(-2). Suppose -10*j - l = -15*j. List the prime factors of j. 2, 3 Let w = 5 - 2. Let b = -3 + w. Suppose b = 2*z - 3*z + 14. List the prime factors of z. 2, 7 Let t = 598 + -34. List the prime factors of t. 2, 3, 47 Let t(j) = 6*j - 3. Let v be t(5). Suppose v*b = 31*b - 8. Suppose -2*d + 19 = 5*g, -4*g - 12 = -b*d - 2*g. List the prime factors of d. 7 Suppose -4351 = 16*p - 19295. List the prime factors of p. 2, 467 Suppose 3*h - t - 21 = 0, 4*t + 2 = -10. Let a = h - -8. What are the prime factors of a? 2, 7 List the prime factors of (2/(-6))/((-48)/13464)*10. 5, 11, 17 Suppose 0 = s - 15. What are the prime factors of -11*(-5)/15*s? 5, 11 Suppose -b - 4*f - 36 = -3*b, 84 = 4*b + 4*f. Suppose 4*p + b = 6*p. List the prime factors of (-175)/p*(-8)/10. 2, 7 Let r be (3 - 4) + (-5)/1. List the prime factors of -10*(-4)/r*-3. 2, 5 Let a(b) = -2*b - 4 + 2 + 1 + 6*b**2. Let g(r) = r**3 + 7*r**2 - 4*r + 34. Let p be g(-8). What are the prime factors of a(p)? 19 Let c(x) = -x**3 + 4*x**2 + 6*x + 1. Let v(d) = -d**2 - d. Let u(f) = -c(f) - 2*v(f). Let y be u(3). List the prime factors of -4*(19 - 3)/y. 2 Suppose -4*g = -3*w - 2801, 4*w - 15 = w. List the prime factors of g. 2, 11 Let c = -80 - 146. Let r = c - -386. What are the prime factors of r? 2, 5 List the prime factors of (207/(-12) + -4)*(-9 - -5). 5, 17 Suppose 8*f - 5102 - 242 = 0. List the prime factors of f. 2, 167 Suppose 0 = 5*z + 85 + 245. What are the prime factors of 100/6 + (-88)/z? 2, 3 Let f = 380 + -184. Suppose 6*o + o = f. List the prime factors of o. 2, 7 Let l be (1/3)/((-2)/(-18)). Suppose -4*f - l*q + 114 = -f, -q = 4*f - 149. What are the prime factors of f? 37 Let f(u) = u**2 + 7*u + 9. Let s be f(-7). Suppose -n + s = 2*n, -n - 269 = -4*b. What are the prime factors of b? 2, 17 Suppose 15 = 4*p + 3. List the prime factors of (p - (-8 - -7))*190/8. 5, 19 Suppose 24*b = 2*b + 6622. List the prime factors of b. 7, 43 Suppose -80 = -2*w - 22. Suppose w = 4*y - 3*s, 2*y = 4*y - 4*s - 22. Suppose -v + 5*v = -2*q + 52, -3*q + 80 = y*v. What are the prime factors of q? 2, 3, 5 Let z = -436 + 649. List the prime factors of z. 3, 71 Let g = -2385 - -5581. List the prime factors of g. 2, 17, 47 Suppose -11268 = 17*d - 32654. List the prime factors of d. 2, 17, 37 Let q(c) = c**2 - 16*c - 38. List the prime factors of q(25). 11, 17 Let a = 4 + -8. Let d be a/(-18) - (-112)/(-18). Let p = -2 - d. List the prime factors of p. 2 Let c = 6827 - 4527. What are the prime factors of c? 2, 5, 23 Suppose -h + 104 = -391. List the prime factors of h. 3, 5, 11 Let x be 26/(-2*1/(-2)). Let v be -2 + (2 - x) - -3. Let l = 35 + v. List the prime factors of l. 2, 3 List the prime factors of 1134/35*(-10
{ "pile_set_name": "DM Mathematics" }
rt(468))) + 1)**2. 168*sqrt(13) + 1921 Simplify (6*(sqrt(15) + sqrt(30)/sqrt(2)))/(sqrt(30)/(sqrt(12)/sqrt(2))). 12*sqrt(3) Simplify sqrt(1008)*4 + -2 - ((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + sqrt(1008))**2) + 0). 36*sqrt(7) + 9070 Simplify (-5 + sqrt(425) + sqrt(17) + sqrt(17) + (-1*sqrt(204))/sqrt(12) - (sqrt(204) + sqrt(204) + (1*sqrt(204) - sqrt(204)))/sqrt(12)*-2)**2. -100*sqrt(17) + 1725 Simplify (2*3*-1*(sqrt(272) - (sqrt(272) - (sqrt(272) + sqrt(272) + -1 - sqrt(272))))*-5)**2*-6. -1474200 + 43200*sqrt(17) Simplify sqrt(22)/sqrt(2) + 3 + (sqrt(352) - sqrt(22))/sqrt(2) + sqrt(55)/((sqrt(175)/sqrt(5))/sqrt(7)). 3 + 5*sqrt(11) Simplify 6*(-2 + sqrt(75))**2 - (4*sqrt(1344))/sqrt(7). -152*sqrt(3) + 474 Simplify -5 + ((-5*(0 + sqrt(147)))**2 - sqrt(147)) + sqrt(147) + ((1*sqrt(147)*-2)**2 - sqrt(147)) + -5. -7*sqrt(3) + 4253 Simplify (-6*(sqrt(72) - -2*sqrt(8))*1*-2)**2. 28800 Simplify 5*sqrt(110)/(-4*sqrt(10)) + -5*(0 + sqrt(11))*3. -65*sqrt(11)/4 Simplify ((sqrt(33)*-4*-5)/(-5*(sqrt(27)/sqrt(9) + sqrt(3) - sqrt(3))))**2. 176 Simplify (2*(-5 + sqrt(108)/sqrt(4) + sqrt(27) + 1))**2. -192*sqrt(3) + 496 Simplify ((2 + sqrt(396) + 1 - sqrt(396)) + 5)**2 + (1*-2*sqrt(396) - (sqrt(396)*-2*2 + sqrt(396)))**2. 460 Simplify -5 + -1 + (-2 + sqrt(128) + -2 - sqrt(128) - sqrt(128)) + sqrt(128) + -3. -13 Simplify (-5 + (-1 + sqrt(1008))**2 + 3)*-3. -3021 + 72*sqrt(7) Simplify 1*-6*-5*(sqrt(1872) + 1 + sqrt(1872)*2 + sqrt(1872)). 30 + 1440*sqrt(13) Simplify (sqrt(200)/sqrt(250) + sqrt(80)*2 + sqrt(80))/(sqrt(256) - sqrt(256)*-1*-5). -31*sqrt(5)/160 Simplify (-2 + sqrt(3) + -2)**2*-3 - (sqrt(3) + (sqrt(3) + (0 + sqrt(3))*2)**2 - sqrt(15)/(sqrt(15)/sqrt(3))). -84 + 24*sqrt(3) Simplify (sqrt(1377)*2*-2*-5)**2*6*3. 9914400 Simplify -2 + (2*sqrt(160))/(sqrt(2) + sqrt(36)/sqrt(2) - sqrt(2)). -2 + 8*sqrt(5)/3 Simplify (-1*(sqrt(55) + sqrt(495))/sqrt(5) + -2*(-5 + sqrt(176)))**2*-1. -1684 + 240*sqrt(11) Simplify (-4 + sqrt(99) + 1 + sqrt(99) + -2 + sqrt(99) + 4*sqrt(99)*-1 + -3 + sqrt(99) + 0 + 2)**2. 36 Simplify (sqrt(56)/sqrt(8) + -4 + (sqrt(126)/sqrt(2) - sqrt(63))**2)*2. -8 + 2*sqrt(7) Simplify (-2*(sqrt(15) + sqrt(60)/sqrt(4)*4 + sqrt(15)))/(2*(sqrt(48)*2 + sqrt(48))). -sqrt(5)/2 Simplify sqrt(700)*3 + 3 + sqrt(84)/(sqrt(72)/sqrt(6))*-3. 3 + 27*sqrt(7) Simplify ((-2*sqrt(2448))**2 + -2)*-6 - ((3*1*sqrt(68) - sqrt(68))/(sqrt(4) + (2*sqrt(64) - sqrt(4))))**2. -939857/16 Simplify 3*1*(2 + sqrt(931))*2. 12 + 42*sqrt(19) Simplify ((-4 + sqrt(272) + 3 + 3*sqrt(34)/sqrt(2) + -2)*-4)**2. -672*sqrt(17) + 13472 Simplify -5 + -5 + (sqrt(637))**2 - (sqrt(156) - -5*(sqrt(156) - (sqrt(156) + 3*sqrt(156))))/sqrt(12). 14*sqrt(13) + 627 Simplify -3 + ((sqrt(176) - (sqrt(176) - 6*(sqrt(176) - (sqrt(176) + 0 + sqrt(176))))) + -5*(sqrt(176) + -1 + sqrt(176)) + 1)**2. -768*sqrt(11) + 45089 Simplify 4 + ((-1 + sqrt(300) + 2)**2 - (sqrt(300) + 2 + -2)). 10*sqrt(3) + 305 Simplify (1*(sqrt(136)/(sqrt(648)*-1) + (sqrt(68) - sqrt(68)*2 - sqrt(68) - sqrt(68))*1))**2. 51425/81 Simplify -1 + (3 + sqrt(11) + (sqrt(11) + -2)*5 + -3)**2. -120*sqrt(11) + 495 Simplify (-4 + 6*(sqrt(200)*3 - sqrt(200) - sqrt(2)) + 1)*2. -6 + 228*sqrt(2) Simplify -5*(-3 + 3*(sqrt(156)*2*-3)/(sqrt(108)/(sqrt(9) + sqrt(144) + sqrt(9)))). 15 + 540*sqrt(13) Simplify (4*(-3*sqrt(102)/sqrt(6) + (sqrt(17) - (sqrt(68) - -4*sqrt(68))/sqrt(4))))**2. 13328 Simplify 5*(1 + ((4*(sqrt(19) + 2))**2 - (3 + (0 + sqrt(19))**2))). 320*sqrt(19) + 1735 Simplify 4 + (sqrt(1200)*-2 + sqrt(12))/(sqrt(64) - -3*sqrt(64)). -19*sqrt(3)/16 + 4 Simplify 3*sqrt(5)*1 + (sqrt(5) - (sqrt(50)/(3*sqrt(10)) + sqrt(5))) + (sqrt(35) - sqrt(35)*-1*4)/(sqrt(63)*-4). 9*sqrt(5)/4 Simplify (-4 + sqrt(180) + 1 - (sqrt(180) - (sqrt(180) + 0)*-5))*-2 + -5. 1 + 60*sqrt(5) Simplify (sqrt(19) - (sqrt(133)*1)/sqrt(7)) + (sqrt(684)*2)**2 + -1 + (sqrt(304)/(sqrt(8)*-1))/sqrt(288). -sqrt(19)/12 + 2735 Simplify sqrt(15)/(sqrt(5) - (sqrt(50) + sqrt(50)*-2)/sqrt(10)) - (-1 + sqrt(363) + -1). -21*sqrt(3)/2 + 2 Simplify (5*sqrt(80) - sqrt(80))**2*3 - (-2*(-5 + sqrt(80)))**2. 160*sqrt(5) + 3420 Simplify (6*(sqrt(170) - (sqrt(170) + sqrt(170)*2))*-5)/(((-2*sqrt(120) + sqrt(120) - sqrt(120))*1)/sqrt(12)). -30*sqrt(17) Simplify (sqrt(648) + -2 + (sqrt(1800)*3)/sqrt(9))**2. -192*sqrt(2) + 4612 Simplify 2*sqrt(112)*-3*5*6. -720*sqrt(7) Simplify -4 + sqrt(130)/(sqrt(10)*1) + (sqrt(13)*2 + -3)**2 + -1. -11*sqrt(13) + 56 Simplify ((-5*3*sqrt(864))/(6*(sqrt(288) + 1*sqrt(288) + sqrt(288)) + sqrt(288)))**2. 675/361 Simplify (((1*sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))*-6*3)/(sqrt(108)/sqrt(3) + -4*sqrt(20)/sqrt(5)). 18*sqrt(19) Simplify (2*sqrt(50)*-2)/((sqrt(90) - -3*sqrt(90))/sqrt(9) + sqrt(10))*-2. 8*sqrt(5)/5 Simplify (6*-2*sqrt(1539))**2 - (sqrt(190) - -2*sqrt(190)*-3)/sqrt(10). 5*sqrt(19) + 221616 Simplify (sqrt(140)/(sqrt(10) - (sqrt(810) - (2*sqrt(810) + sqrt(810) - sqrt(810))) - sqrt(10)))/(sqrt(252)*1 - sqrt(28)/sqrt(4)*4). sqrt(2)/18 Simplify 5 + -3 + sqrt(300) + 1 + 2 + 0. 5 + 10*sqrt(3) Simplify (4*(sqrt(3) + -2*sqrt(15)/sqrt(5) + sqrt(12)/(sqrt(12)/sqrt(3))))**2*-2. 0 Simplify ((sqrt(156)/sqrt(3))/sqrt(4) - -2*(3 + sqrt(13))**2) + (sqrt(52)/sqrt(4) - sqrt(13))*5 + ((sqrt(78)/sqrt(2))/sqrt(3) - sqrt(13)). 44 + 13*sqrt(13) Simplify 4*((-2 + sqrt(7))*-6 + sqrt(7) + sqrt(63)/(sqrt(9) - (sqrt(144) + sqrt(9)))) + -1. -21*sqrt(7) + 47 Simplify -1 + ((1*sqrt(32))**2 + 3 - (-1*sqrt(242) + sqrt(242) + 1)). 33 Simplify 2*(-2*5*(-1 + sqrt(10)/sqrt(80)))**2 + -4. -100*sqrt(2) + 221 Simplify ((sqrt(154)/(sqrt(176) - sqrt(176)*3))/(sqrt(700) - (sqrt(700) + (2*sqrt(700)*-2 - sqrt(700)) + sqrt(700))))**2. 1/51200 Simplify (sqrt(1377) + sqrt(1377) + -1 + sqrt(1377) + -5)**2 + 0 + (-2 + sqrt(1377) + sqrt(1377)*-2*1)**2. -288*sqrt(17) + 13810 Simplify (5*((-6*(sqrt(168) + sqrt(168)*1) - sqrt(168)) + sqrt(168))/sqrt(6)*-1)**2. 100800 Simplify (0 + ((-1 + sqrt(320))*-3 - (-1 + sqrt(320) + 0))**2)*-5. -25680 + 1280*sqrt(5) Simplify 6*((-1 + sqrt(288) + 1)**2 + (sqrt(288) - 4*(sqrt(288)*4)**2 - sqrt(288)))*1. -108864 Simplify ((sqrt(11) - (-1 + sqrt(11) + -2) - (sqrt(11) + 0 + (sqrt(99) - sqrt(11)))) + 1*(sqrt(99) + -1) + 4)**2. 36 Simplify sqrt(85)/((sqrt(320)*-5 - sqrt(320)) + sqrt(320) + sqrt(320) + sqrt(5)) + 3 + -2*sqrt(1700). -621*sqrt(17)/31 + 3 Simplify (sqrt(640)/sqrt(2)*2)/(sqrt(4) - sqrt(48)/sqrt(48) - (sqrt(32)/(sqrt(16)/sqrt(2)) - sqrt(4))). 16*sqrt(5) Simplify (-2*(sqrt(931) + 1 + 4))**2 + ((-6*(sqrt(931) + sqrt(931) + 0) - sqrt(931)) + sqrt(931))**2*2. 280*sqrt(19) + 271952 Simplify ((sqrt(171) + 4*(sqrt(171) - sqrt(171)*3) + sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171))/sqrt(9) + -3*sqrt(1216)*-2. 43*sqrt(19) Simplify 5 + (-2*sqrt(1452) + 0)**2 - (-3 + (-1 + sqrt(1452))**2 + sqrt(1452) + -1). 22*sqrt(3) + 4364 Simplify 2 + (-1*(-1 + 4 + sqrt(125)))**2*-5. -668 - 150*sqrt(5) Simplify (sqrt(630)/sqrt(40))/sqrt(9) + sqrt(784)/sqrt(7) + sqrt(21)/sqrt(3)*3. 15*sqrt(7)/2 Simplify -4*((sqrt(204) + (3*sqrt(204) - sqrt(204)))*-4 - sqrt(204))/(sqrt(132)/(1*sqrt(11))). 52*sqrt(17) Simplify -2*(-3 + (-1*(sqrt(110) - (sqrt(110) - sqrt(110)*-1)))/sqrt(10)). -2*sqrt(11) + 6 Simplify (4*-2*sqrt(441) + 1*sqrt(441)*-4)/(sqrt(1008) - 1*(sqrt(1008) - 1*sqrt(1008))). -3*sqrt(7) Simplify (sqrt(24) + (2*sqrt(600) - sqrt(600)))/((sqrt(1452) - (sqrt(1452) - (sqrt(1452) - 2*sqrt(1452)))) + sqrt(1452) + sqrt(12))*-1. -6*sqrt(2) Simplify (sqrt(119) - sqrt(119)*-2*5 - (sqrt(119) + sqrt(119)*2)*3)/((-2*sqrt(70))/sqrt(10) + -2*(sqrt(14)/sqrt(2) - sqrt(7))). -sqrt(17) Simplify sqrt(245)*3 + -4 + ((-1 + sqrt(245))*-3)**2 + -1. -105*sqrt(5) + 2209 Simplify 3*((1 + 2*sqrt(7))*-2 + ((0 + sqrt(252))*-3)**2). -12*sqrt(7) + 6798 Simplify 0 + ((-1*sqrt(11) + -3)*-5 - (sqrt(132)/sqrt(27))/sqrt(4)). 15 + 14*sqrt(11)/3 Simplify -4 + ((sqrt(78) - sqrt(78)*-3 - sqrt(78))*-6)/(sqrt(36)/(sqrt(6) - -2*sqrt(6))). -54*sqrt(13) - 4 Simplify ((3*(3*sqrt(3520) + sqrt(3520)))/(2*sqrt(99)*5))**2. 256/5 Simplify 0 + -1 + sqrt(192) + -5 + sqrt(9)/sqrt(3)*-5*-3 + -1. -7 + 23*sqrt(3) Simplify (sqrt(245) - (sqrt(245) + -1)*-2 - (sqrt(720) + sqrt(720) + -3*sqrt(720)*1 + sqrt(720))**2)*5. -10 + 105*sqrt(5) Simplify 1 + sqrt(1300)*4 + -3 + -3. -5 + 40*sqrt(13) Simplify 1*sqrt(147) + (-3*sqrt(15))/sqrt(5) +
{ "pile_set_name": "DM Mathematics" }
(l) = -l**3 - 10*l**2 - 2*l. Let p be o(n). What is the highest common factor of 180 and p? 20 Let d = -36 + 48. Let z(y) = -y**2 + 15*y - 13. Let p be z(d). Suppose 462 = 4*l + 3*s - 2*s, -l + 107 = -4*s. What is the highest common factor of l and p? 23 Suppose -9*b + 31 = -14. Suppose b*k + 0*k - 55 = 0. What is the greatest common factor of k and 121? 11 Let g = 650 + -554. Calculate the highest common divisor of g and 624. 48 Suppose -2 = 6*n - 32. Let y be 3/n + 126/15. Calculate the greatest common factor of 12 and y. 3 Let q = 888 + -816. What is the greatest common divisor of 4 and q? 4 Let k = 10 - 20. Let v be 5/(k/(-4)) - 32. Let x be (3/(-2))/(5/v). What is the highest common divisor of x and 27? 9 Let l be ((-6)/(-8))/(3/12). Let f(x) = -x**2 - 22*x + 162. Let y be f(5). Calculate the highest common divisor of y and l. 3 Suppose -4*w + 4 = 2*p - 42, 0 = -4*p + 3*w + 70. Suppose 181*t - 47*t - 2546 = 0. What is the greatest common divisor of t and p? 19 Let a = 6 + -3. Suppose -p = -a*p + 20. Calculate the highest common factor of 25 and p. 5 Suppose j = 5*z - 2469, -6*z - j - 1481 = -9*z. Calculate the greatest common factor of z and 39. 13 Let p(b) = b**2 - 5*b - 4. Let o be p(3). Let v(y) = -y**3 - 11*y**2 - y - 10. Let d be v(o). Let t = d + 160. Calculate the greatest common factor of 20 and t. 20 Suppose 5*u - 11*j = -6*j + 130, -4*u + 3*j + 106 = 0. Suppose -2*b + 3*b = 4. What is the highest common factor of u and b? 4 Let g(t) = -42*t**3 - 2*t**2 + t + 2. Let j = 23 - 21. Suppose 3*m = 2*o + 8, 0 = m - j. Let h be g(o). Calculate the greatest common divisor of 205 and h. 41 Suppose 0*q - 4 = -2*q. Suppose -4*w = g + 11, 2*g - 5*w - 33 = -q*w. Let x be (-1 - 0)*(-225 - -222). What is the greatest common factor of g and x? 3 Suppose 43 + 577 = 10*n. Calculate the greatest common divisor of 713 and n. 31 Let g = 329 + -302. Suppose 0 = -6*a + a + 945. Calculate the greatest common divisor of a and g. 27 Suppose 3*k + 5*d + 18 + 662 = 0, 0 = -2*d + 10. Let g be (-8)/5*-4 - (-94)/k. Calculate the greatest common divisor of g and 18. 6 Suppose -i = 4*h - 5*h - 8, 5*i + 3*h - 40 = 0. What is the highest common divisor of i and 232? 8 Let v = 6 + -3. Suppose -y = -4*s + 38, -s + 4*y = 7*y - v. Let b be (-1)/(1*-3*5/135). What is the highest common factor of s and b? 9 Suppose -1302 = u - 4*u. Suppose 0 = -3*w - y - 33 + 299, -u = -5*w - 4*y. Calculate the highest common divisor of w and 10. 10 Let n = 286 + -132. Calculate the greatest common factor of n and 28. 14 Suppose 4*s - 3 = 5. Suppose 4*f = -s*n + 48, -2*f + 24 = 3*n - 6*n. Calculate the greatest common factor of 132 and f. 12 Let f be (-4)/(-8 - -4)*0. Suppose -299 - 31 = -4*u - 2*p, 5*u - 5*p - 375 = f. What is the highest common factor of 10 and u? 10 Let s(l) = 2*l**3 + 45*l**2 + 100*l + 10. Let t be s(-20). What is the greatest common factor of t and 1090? 10 Suppose -2905 = 22*b - 29*b. Calculate the greatest common divisor of 166 and b. 83 Let i be 11/3 - 14/(-42). Suppose -i*g + 7650 = 13*g. What is the highest common divisor of g and 45? 45 Let j be (852/355)/(1/15). What is the greatest common factor of j and 99? 9 Suppose -4*g + 483 + 9 = 0. Let n = g - 70. Let s = n - 29. Calculate the greatest common divisor of 24 and s. 24 Suppose -2*i - 4 = 5*o - 17, o - 6 = 3*i. Suppose -d = -4*a + d + 638, o*d = 3. Calculate the highest common factor of a and 64. 32 Let j = 1 - -3. Let m be (3 + 0)*(-30)/45. Let p be (22/j)/(m/(-4)). What is the greatest common factor of p and 11? 11 Let s = 353 - 12. Suppose 0*b - 4*b = -44. Suppose 0 = b*t - 14*t + 93. What is the highest common factor of t and s? 31 Let x = 146 - 14. What is the greatest common factor of 12 and x? 12 Let j(f) = 3*f**2 + 10*f + 39. Let l be j(-3). Calculate the greatest common divisor of 414 and l. 18 Let k be 84/8 - (-1)/(-2). Let y(o) = o**2 - o - 10. Let u be y(11). Suppose u = z + 4*z. What is the greatest common divisor of k and z? 10 Let l = 891 + -504. Let v be (1 + -4)/(5 + 218/(-43)). Calculate the greatest common factor of l and v. 43 Suppose 15 = q - 0*q. Suppose -2*v + 3*x + 90 = -v, -q = 3*x. Calculate the highest common divisor of 15 and v. 15 Let d be 2 + -2 - (-20 + 12). Let r(a) = 3*a**2 - 2*a. Let i be r(d). Calculate the highest common divisor of 16 and i. 16 Suppose 0 = -i - 2*p + 151, -10 + 2 = -2*p. What is the greatest common factor of 26 and i? 13 Let a(g) = -g**3 - 24*g**2 - 28*g - 27. Let k be a(-23). Let u = -60 + k. Calculate the highest common divisor of u and 224. 28 Suppose -108 = -0*q - 3*q. What is the highest common factor of 72 and q? 36 Suppose 155*x - 160*x + 5115 = 0. Calculate the greatest common divisor of 99 and x. 33 Let g(j) = j**2 - 20*j + 18. Let f be g(21). Let z = -20 - 6. Let s = z + f. Calculate the highest common divisor of 65 and s. 13 Suppose -3*g = 2*y + y, 0 = -3*y + 4*g. Suppose y = -2*f + 46 + 16. Calculate the highest common factor of f and 341. 31 Suppose -4*d + 7*d = -4*q + 1040, -15 = -3*q. Calculate the greatest common divisor of d and 40. 20 Let b be (13/(-7)*-2)/(188/14476). What is the highest common factor of 22 and b? 22 Suppose 29*b - 32 = 21*b. Suppose -b*x = -3*m - 64 - 0, 3*x = m + 43. Let j be 1 + (1 - -21*3). Calculate the highest common factor of x and j. 13 Let i be 1 - (3 + -2)*-1. Suppose i*a - 2*r - 89 = 53, -135 = -2*a - 5*r. Let w be 17 - 1 - (-342)/(-57). Calculate the greatest common divisor of w and a. 10 Let i(k) = -k**3 - 6*k**2 - 10*k - 17. Let q be i(-7). Suppose -q = c - 2*c. Calculate the greatest common divisor of c and 34. 34 Let q = 35 + -30. Suppose 3*o - 83 = -q*c, -5*o - c + 83 = -26. What is the greatest common divisor of 42 and o? 21 Let f = -568 + 578. Let a(g) = 3*g - 3. Let k be a(2). Suppose -4*p = -5*y - 50, k*p - 58 = -2*p + 4*y. Calculate the greatest common factor of f and p. 10 Let c be (-2)/4 - 10/(-4). Suppose -212 + c = -5*p. What is the highest common divisor of 28 and p? 14 Let s = -2635 + 2968. What is the highest common factor of s and 148? 37 Let o be -2 + (-248)/4 + (2 - 1). Let z be (-21)/4*(-7)/(o/(-528)). What is the highest common factor of z and 28? 28 Let i be 2*3/(12/8). Suppose -2 = -i*o + 10. Suppose o*n - 15 = 4*m, 0*n + m - 21 = -2*n. Calculate the greatest common divisor of n and 36. 9 Let i be 924/242 + (-4)/(-22). Suppose -5*h = -3*d - 0*d - 653, h - i*d - 134 = 0. Calculate the highest common divisor of 13 and h. 13 Let l be 4/(-48) + (-601)/(-12)*1. What is the greatest common divisor of l and 130? 10 Suppose 2*r - 4 = -0. Let f(l) = -8*l + 11. Let x be f(-3). Suppose -2*c = 5*c - x. Calculate the greatest common factor of c and r. 1 Let g(y) = y**3 - 5*y**2 - y + 3. Let r be g(4). Let j = 51 - r. Suppose a = -a + j. Calculate the greatest common factor of 17 and a. 17 Let d be (8/(-10))/((3 - 0)/(-15)). Let o be (12/d - 31)/(2/(-3)). Let p be 3 - (-100 + (-2)/1). Calculate the greatest common factor of p and o. 21 Let u = -12 - -15. Suppose 5*j + u*q - 5*q + 12 = 0, -3*q - 5 = 4*j. Let g be 700/8 + (-1)/j. Calculate the highest common divisor of 8 and g. 8 Let m(q) = 3*q + 1. Let u be m(1). Suppose -76 = -4*r - n + 13, u*r - 5*n = 59. Calculate the greatest common divisor of r and 14. 7 Let l = -23 - -29. Let j = 11 - l. Suppose 76 = j*n - 149. Calculate the highest common factor of n and 5. 5 Let o be (((-1008)/(-35))/4)/(3/15). What is the highest common divisor of 96 and o? 12 Let v(f) = -f**3 + f**2 + 126. Let j be 3*-2*3/6. Let m be (0/j)/((-8)/(-4)). Let s be v(m). What is the greatest common factor of s and 14? 14 Let h(p) = 2*p**2 + 19*p + 16. Let t be h(-18). What is the highest common divisor of 14 and t? 14 Let r be 24/(-84) + 108/(-14). Let y be (-1 + -4)*r/5. Suppose b - 5*j - y = 0, -4*b - 5*j + 15 + 42 = 0. What is the greatest common divisor of 52 and b? 13 Let x(j) = -j**2 - 12*j - 1. Let p(r) = -r**2 - 7*r - 10. Let c be p(-7). Let z be x(c). Calculate the highest common factor of z and 171. 19 Let v be 4/30 - -1*(-1794)/(-45). Let a be -2 - (8/(-1) + 1). Suppose -z = -v + a. What is the highest common divisor of 7 and z? 7 Let d be (-9 + 4)/(-10)*-1*-8. What is the highest common factor of 36 and d? 4 Let l = 742 + -486. Calculate the greatest common
{ "pile_set_name": "DM Mathematics" }
ed without replacement from {a: 2, s: 4, o: 7}. What is prob of picking 1 a and 2 o? 21/143 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from uxxuwxwwwufbw. 1/26 Two letters picked without replacement from wwwwwwwwowww. Give prob of picking 2 w. 5/6 Two letters picked without replacement from {p: 3, o: 1, z: 1, k: 1, i: 5}. What is prob of picking 1 p and 1 z? 3/55 Three letters picked without replacement from uuuuuouuuououuuouuuu. What is prob of picking 1 o and 2 u? 8/19 Two letters picked without replacement from doaooljolal. Give prob of picking 1 j and 1 d. 1/55 What is prob of picking 1 s, 2 h, and 1 y when four letters picked without replacement from {x: 2, h: 5, e: 5, y: 1, z: 2, s: 1}? 1/182 Calculate prob of picking 1 c and 1 k when two letters picked without replacement from rrrrrraarrrcrrrkakcr. 2/95 Three letters picked without replacement from lllllllllllsslslsll. Give prob of picking 3 s. 4/969 Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {s: 5, m: 4, w: 10}. 5/969 What is prob of picking 1 v, 1 o, and 2 r when four letters picked without replacement from {q: 5, r: 3, i: 1, v: 1, o: 4}? 12/1001 What is prob of picking 3 q when three letters picked without replacement from xqxxxxqxqqxxxxxxxxxq? 1/114 Calculate prob of picking 1 f, 1 a, 1 j, and 1 h when four letters picked without replacement from {w: 1, h: 6, j: 1, f: 1, a: 6}. 12/455 What is prob of picking 1 a and 1 h when two letters picked without replacement from hnaahahahhchhpahphhp? 5/19 Calculate prob of picking 1 z, 1 j, and 1 p when three letters picked without replacement from pppupptzjpjvvujvpp. 1/34 Three letters picked without replacement from {b: 2, w: 3, v: 13}. Give prob of picking 1 b and 2 v. 13/68 Three letters picked without replacement from {s: 4}. Give prob of picking 3 s. 1 Four letters picked without replacement from grwgyrgagw. Give prob of picking 1 g, 1 a, 1 y, and 1 r. 4/105 Calculate prob of picking 1 k and 3 z when four letters picked without replacement from {e: 4, k: 2, z: 3}. 1/63 Four letters picked without replacement from {n: 8, h: 8, g: 2}. Give prob of picking 2 n, 1 g, and 1 h. 112/765 What is prob of picking 3 c when three letters picked without replacement from cxrrvvcvxxccxxvr? 1/140 What is prob of picking 4 b when four letters picked without replacement from {x: 1, p: 2, b: 11}? 30/91 Two letters picked without replacement from nnhdndkknhk. Give prob of picking 2 n. 6/55 Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, j: 3, a: 2, v: 10, p: 2}. 1/171 Two letters picked without replacement from {m: 3, g: 7}. Give prob of picking 2 m. 1/15 Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {z: 4, k: 3, t: 10, h: 3}. 3/19 What is prob of picking 1 n and 1 t when two letters picked without replacement from tqttttttttnttt? 12/91 Calculate prob of picking 4 s when four letters picked without replacement from cscsccscccccccscsccc. 1/969 What is prob of picking 2 y, 1 j, and 1 g when four letters picked without replacement from gyggyygttjogyyydt? 15/476 What is prob of picking 3 k when three letters picked without replacement from {w: 6, k: 4, d: 10}? 1/285 Three letters picked without replacement from {b: 8, j: 5}. Give prob of picking 2 j and 1 b. 40/143 Two letters picked without replacement from fffffxxfxfxffxfffff. Give prob of picking 2 f. 91/171 What is prob of picking 1 s and 1 b when two letters picked without replacement from {s: 2, b: 1}? 2/3 Two letters picked without replacement from {e: 2, p: 2, l: 1, s: 4}. Give prob of picking 1 s and 1 l. 1/9 Calculate prob of picking 2 x when two letters picked without replacement from iixxi. 1/10 Four letters picked without replacement from kkkkkgkk. Give prob of picking 3 k and 1 g. 1/2 Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {l: 2, h: 6, r: 10}. 4/51 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 2, u: 2}. 1/5 Calculate prob of picking 1 j, 2 h, and 1 a when four letters picked without replacement from {j: 1, h: 2, s: 2, z: 1, a: 3, e: 3}. 1/165 Four letters picked without replacement from fmmzrvzzrfmmvrzrm. Give prob of picking 1 v, 1 r, and 2 m. 4/119 Four letters picked without replacement from kppeyyppppeeekpkppp. Give prob of picking 1 k, 1 p, and 2 y. 5/646 What is prob of picking 4 o when four letters picked without replacement from hhoehhhhohheooo? 1/273 What is prob of picking 3 y when three letters picked without replacement from {u: 5, g: 3, o: 2, y: 3}? 1/286 Four letters picked without replacement from {g: 11, q: 1, m: 1, x: 4}. Give prob of picking 3 x and 1 m. 1/595 What is prob of picking 1 l and 1 p when two letters picked without replacement from {p: 13, q: 2, l: 3}? 13/51 Two letters picked without replacement from {t: 5, v: 1, j: 2, k: 2, r: 5, q: 2}. What is prob of picking 1 t and 1 q? 5/68 Two letters picked without replacement from {t: 2, d: 1, m: 1, b: 14, k: 2}. Give prob of picking 2 b. 91/190 Two letters picked without replacement from chhhcqhchcqhq. Give prob of picking 2 q. 1/26 Four letters picked without replacement from cvvcvccvvvvvvvvcvvc. What is prob of picking 1 v and 3 c? 65/969 Calculate prob of picking 4 g when four letters picked without replacement from gdggggoggodogddoddg. 21/646 Four letters picked without replacement from {t: 2, o: 3, z: 8, l: 5, p: 1, e: 1}. What is prob of picking 1 z, 1 p, 1 o, and 1 t? 16/1615 Three letters picked without replacement from {u: 9, c: 3, e: 4}. Give prob of picking 2 u and 1 c. 27/140 Three letters picked without replacement from {s: 3, f: 1, t: 2, j: 1, z: 3, l: 1}. What is prob of picking 1 j and 2 t? 1/165 Two letters picked without replacement from {s: 6, c: 3, a: 3, x: 3}. Give prob of picking 1 s and 1 x. 6/35 Four letters picked without replacement from {t: 4, q: 5, h: 2, j: 2, r: 1}. What is prob of picking 2 j and 2 h? 1/1001 Calculate prob of picking 2 f and 1 e when three letters picked without replacement from {u: 5, f: 3, c: 1, e: 3}. 9/220 Two letters picked without replacement from {a: 2, h: 5, x: 1, l: 3, q: 6}. What is prob of picking 1 a and 1 h? 5/68 Two letters picked without replacement from ksuuzsuzzkkuzks. Give prob of picking 2 u. 2/35 Calculate prob of picking 2 q and 2 j when four letters picked without replacement from jbjqqjjjjqjjqqq. 4/13 Calculate prob of picking 4 s when four letters picked without replacement from {s: 6, h: 4}. 1/14 Calculate prob of picking 1 k and 1 v when two letters picked without replacement from ktlooooloovoou. 1/91 Two letters picked without replacement from hhooohhhhohhooooohho. Give prob of picking 1 o and 1 h. 10/19 Calculate prob of picking 1 z and 1 e when two letters picked without replacement from uzuuwekmmkkkekuueeem. 1/38 Two letters picked without replacement from kodkookodk. What is prob of picking 2 d? 1/45 Calculate prob of picking 3 w and 1 g when four letters picked without replacement from wwgwwwww. 1/2 What is prob of picking 1 f and 2 l when three letters picked without replacement from fllmfilmfp? 3/40 Calculate prob of picking 3 a when three letters picked without replacement from {a: 9}. 1 Calculate prob of picking 2 d when two letters picked without replacement from {t: 1, d: 4, p: 2, k: 1, m: 2}. 2/15 Two letters picked without replacement from {y: 7, q: 3, m: 4}. What is prob of picking 2 q? 3/91 Two letters picked without replacement from aawwwwawwaaawawwwww. What is prob of picking 2 w? 22/57 What is prob of picking 1 v and 3 u when four letters picked without replacement from uuuuvuuvuuuuu? 6/13 Two letters picked without replacement from jnni. Give prob of picking 2 n. 1/6 What is prob of picking 1 m, 1 y, and 1 e when three letters picked without replacement from {e: 2, w: 2, m: 2, a: 4, y: 2, u: 3}? 8/455 What is prob of picking 3 k and 1 x when four letters picked without replacement from {x: 3, k: 11}? 45/91 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from {c: 3, a: 2}. 3/5 Three letters picked without replacement from {o: 6, b: 4, x: 4
{ "pile_set_name": "DM Mathematics" }
Sort 12, -2, -2/5, 2/3 in increasing order. -2, -2/5, 2/3, 12 Put 92, -3, -5, -14 in descending order. 92, -3, -5, -14 Sort 7, 5, -5, -1. -5, -1, 5, 7 Sort -28, 1/16, 2 in ascending order. -28, 1/16, 2 Sort -0.16, 2, 5/12, -3. -3, -0.16, 5/12, 2 Sort -3, 9, -64, -1. -64, -3, -1, 9 Sort 0, 12, 5. 0, 5, 12 Put -24/5, -0.1, 0 in decreasing order. 0, -0.1, -24/5 Put -5, 7, 4, 8 in decreasing order. 8, 7, 4, -5 Put -4, -334, 5 in decreasing order. 5, -4, -334 Put -0.247, 1, 35 in increasing order. -0.247, 1, 35 Sort -0.074, -0.4, 5 in increasing order. -0.4, -0.074, 5 Put -6, 4, -191 in descending order. 4, -6, -191 Put 0.2, -0.3, -3, 2, 2/13 in decreasing order. 2, 0.2, 2/13, -0.3, -3 Sort 0, 0.15, -3/13, 5 in decreasing order. 5, 0.15, 0, -3/13 Sort 4, -5, -0.04, -0.4 in decreasing order. 4, -0.04, -0.4, -5 Sort 265, -1, -5, -4, -3 in increasing order. -5, -4, -3, -1, 265 Sort 6, 27, -5 in increasing order. -5, 6, 27 Put -4, 25, -5 in ascending order. -5, -4, 25 Put 2, -5, -2, -13/7, 4 in decreasing order. 4, 2, -13/7, -2, -5 Sort 3, 1, 1091 in descending order. 1091, 3, 1 Sort 5, 3, -2/355 in ascending order. -2/355, 3, 5 Sort -85, 1, -7, -1, 0 in decreasing order. 1, 0, -1, -7, -85 Sort 3, -10, -5, -1, 11 in descending order. 11, 3, -1, -5, -10 Put 1, -3/4, -116 in increasing order. -116, -3/4, 1 Put 12, 81, 1, 4 in increasing order. 1, 4, 12, 81 Put -2, -2/7, 75 in ascending order. -2, -2/7, 75 Sort -2, -0.067, -17. -17, -2, -0.067 Sort 3, -85, -18. -85, -18, 3 Sort -11, -345, -0.5 in decreasing order. -0.5, -11, -345 Put 5, -4, 38, -1 in decreasing order. 38, 5, -1, -4 Put 6, 18, -3, -1, 1 in decreasing order. 18, 6, 1, -1, -3 Put 5, 1, 0, -7 in increasing order. -7, 0, 1, 5 Sort -29, 4, 0, -6 in descending order. 4, 0, -6, -29 Sort 14, -4, 9, -39 in decreasing order. 14, 9, -4, -39 Sort -4, 5, -2/13, 0.5, -55 in ascending order. -55, -4, -2/13, 0.5, 5 Sort 6, 3, -41, 5 in descending order. 6, 5, 3, -41 Sort -1, 4, -28/9 in ascending order. -28/9, -1, 4 Sort 3, -186, -2, 4 in ascending order. -186, -2, 3, 4 Sort 0.1, 0.04, -1, 1/2 in increasing order. -1, 0.04, 0.1, 1/2 Sort 0.2, -0.2, 0.3, 0.4, 3 in ascending order. -0.2, 0.2, 0.3, 0.4, 3 Put 0, -1, 5, 1, 3 in descending order. 5, 3, 1, 0, -1 Sort -2, -0.5, -0.04, 3. -2, -0.5, -0.04, 3 Sort 93, -7, -5. -7, -5, 93 Put 5/4, -1/2, 1/7, 1/9, -0.3 in decreasing order. 5/4, 1/7, 1/9, -0.3, -1/2 Sort -0.5, -7, -22, -4 in increasing order. -22, -7, -4, -0.5 Put 6, 2, 3, 5 in decreasing order. 6, 5, 3, 2 Put 4, 3, -3, 13, 6 in decreasing order. 13, 6, 4, 3, -3 Sort 65, 1/5, -3/7 in decreasing order. 65, 1/5, -3/7 Sort 6, -0.3, -871 in increasing order. -871, -0.3, 6 Sort -415, 2, -3, -10 in descending order. 2, -3, -10, -415 Put 3, -4, -2/95 in decreasing order. 3, -2/95, -4 Sort -2, -141, -1. -141, -2, -1 Sort -0.6, 0.2, -81, -0.1 in decreasing order. 0.2, -0.1, -0.6, -81 Put 4, 3, 2, -3, -2 in descending order. 4, 3, 2, -2, -3 Sort 24, 0, -5, -4 in decreasing order. 24, 0, -4, -5 Put -4, 18, -10, -2, -5 in decreasing order. 18, -2, -4, -5, -10 Put -0.2, 2/73, 0.4, 1/8 in decreasing order. 0.4, 1/8, 2/73, -0.2 Sort 0, 82, -3, -2, -4 in decreasing order. 82, 0, -2, -3, -4 Put -2, -6, -166 in decreasing order. -2, -6, -166 Put 806, -0.5, -4, 2 in ascending order. -4, -0.5, 2, 806 Sort -5, -3, 3 in decreasing order. 3, -3, -5 Put 3, -1524, 4, -1 in ascending order. -1524, -1, 3, 4 Sort -3, -2/23, 0.07, -2/5 in decreasing order. 0.07, -2/23, -2/5, -3 Sort -4, -587, 3, 2 in ascending order. -587, -4, 2, 3 Put -1, 1.6, -6/13 in ascending order. -1, -6/13, 1.6 Put 1/5, -1, 0, -0.0564 in ascending order. -1, -0.0564, 0, 1/5 Sort 50, -58, 2, -3. -58, -3, 2, 50 Sort 4, -6, 1/8, 0.04, 105. -6, 0.04, 1/8, 4, 105 Sort 5, 0, -10 in decreasing order. 5, 0, -10 Sort -464, 0, -1, 3 in descending order. 3, 0, -1, -464 Sort -0.29, -1, -3/5, -0.32 in ascending order. -1, -3/5, -0.32, -0.29 Sort -0.029, 12/7, -1 in descending order. 12/7, -0.029, -1 Put 1, -0.4, 29, 13/6 in ascending order. -0.4, 1, 13/6, 29 Put -2699, -1, 0 in decreasing order. 0, -1, -2699 Sort -32, 0, 10, 0.2, 1 in descending order. 10, 1, 0.2, 0, -32 Sort -0.2, 4, -1.8, -2 in descending order. 4, -0.2, -1.8, -2 Put 8, -3, -121 in descending order. 8, -3, -121 Put 1, 3/2, 3, -2/19 in decreasing order. 3, 3/2, 1, -2/19 Put -3, 17, -7 in ascending order. -7, -3, 17 Sort -13, 0, -5, 1/3 in descending order. 1/3, 0, -5, -13 Sort -2, -5/3, -1/8, -2/77. -2, -5/3, -1/8, -2/77 Sort 2, -1, 5, -2, 84 in increasing order. -2, -1, 2, 5, 84 Sort -4, -6, -2, 0.4, 7 in decreasing order. 7, 0.4, -2, -4, -6 Put 3, -5, 48, 34 in decreasing order. 48, 34, 3, -5 Sort 5, -3, 890. -3, 5, 890 Sort 17, -3, -2, 0 in decreasing order. 17, 0, -2, -3 Put -7, 7, -82 in descending order. 7, -7, -82 Put 1, 4, -3, -2, -36 in ascending order. -36, -3, -2, 1, 4 Sort -3, 1/3, -0.08, -10 in decreasing order. 1/3, -0.08, -3, -10 Sort 5, 2, 0, 1 in descending order. 5, 2, 1, 0 Put 5, -3, 4, 0 in descending order. 5, 4, 0, -3 Put 1.16, -0.2, 0.4 in increasing order. -0.2, 0.4, 1.16 Sort 3, -1, 0.4, 1/12 in increasing order. -1, 1/12, 0.4, 3 Sort 0, 4, 3, 394. 0, 3, 4, 394 Sort 2066, -1, -2, -5 in decreasing order. 2066, -1, -2, -5 Sort -0.7, -8, 0.4. -8, -0.7, 0.4 Put 3, 0.1, -30.63 in descending order. 3, 0.1, -30.63 Sort -1, -410, 20 in ascending order. -410, -1, 20 Sort -5, -87, -3 in ascending order. -87, -5, -3 Sort -5, 10, 1. -5, 1, 10 Put 7/5, -4, -1 in descending order. 7/5, -1, -4 Put 2, 0, -1, 12, 5 in increasing order. -1, 0, 2, 5, 12 Sort 2/5, -5/2, -2/9, 2/9. -5/2, -2/9, 2/9, 2/5 Put -0.4, 7241, 0.2 in decreasing order. 7241, 0.2, -0.4 Sort 7, 5, -5, -7, 3 in decreasing order. 7, 5, 3, -5, -7 Put 4, 3, 5, 125, -1 in decreasing order. 125, 5, 4, 3, -1 Sort 7, 5, -4, 11 in increasing order. -4, 5, 7, 11 Put 27, -6, 0 in increasing order. -6, 0, 27 Sort 5, -1, -3, 1 in ascending order. -3, -1, 1, 5 Sort 22, -4, -5 in decreasing order. 22, -4, -5 Sort -2, 3, 8, -1 in descending order. 8, 3, -1, -2 Sort 17, -2/3, 0 in descending order. 17, 0, -2/3 Sort 0.1, 79, 5, 5/4 in increasing order. 0.1, 5/4, 5, 79 Sort -0.1, 1, 2.38 in decreasing order. 2.38, 1, -0.1 Sort 1, 11, -4 in decreasing order. 11, 1, -4 Sort 1, -3, 3, -5, -21 in increasing order. -21, -5, -3, 1, 3 Sort -1/7, -4, -1, 4, 2/9. -4, -1, -1/7, 2/9, 4 Put 3, -3, -88, 4 in decreasing order. 4, 3, -3, -88 Put 2, -167, 3 in descending order. 3, 2, -167 Put -0.3, 0.1, -3, 0.7 in descending order. 0.7, 0.1, -0.3, -3 Sort -10, -4, 9, -3. -10, -4, -3, 9 Sort -15, 0.1, -781. -781, -15, 0.1 Put 1995, 0, -2 in decreasing order. 1995, 0, -2 Put 5, -4, 76, 1 in decreasing order. 76, 5, 1, -4 Sort 3/8, 23, -6/5, -5, -0.3 in decreasing order. 23, 3/8, -0.3, -6/5, -5 Sort -3, -4/5, 3, 2/11 in decreasing order. 3, 2/11, -4/5, -3 Sort 2, -5, -3, 5, 1 in descending order. 5, 2, 1, -3, -5 Sort 3/2, 0, 1/4, -22, -0.3 in ascending order. -22, -0.3, 0, 1/4, 3/2 Sort -5, 3, 4, 18 in decreasing order. 18, 4, 3, -5 Sort -0.05, 0, -0.2, 0.2 in decreasing order. 0.2, 0, -0.05, -0.2 Sort -3, -38, -6, 1. -38, -6, -3, 1 Put -1, -2, -79, 1 in decreasing order. 1, -1, -2, -79 Put 0.2, 0.4, 51 in decreasing order. 51, 0.4, 0.2 Sort 149, 1, -0.3 in descending order. 149, 1, -0.3 Put 4, 2, -13, -5 in increasing order. -13, -5, 2, 4 Sort -54, -4, -3, 4 in ascending order. -54, -4, -3, 4 Sort 5, 4, -1/15, -0.2. -0.2, -1/15, 4, 5 Sort -6, 3, -4. -6, -4, 3 Sort 9, -4, 1, 2. -4, 1, 2, 9 Put 1990, -5, 0 in increasing order. -5, 0, 1990 Sort 0.2, -0.3, -1.7, 4. -1.7, -0.3, 0.2, 4 Sort 3, 4, -4, 86, 5. -4, 3, 4, 5, 86 Sort -2/5, 2, 8, 3, -2/11 in descending order. 8, 3, 2, -2/11, -2/5 Put 1/3, -4, -26, -5/3 in descending order. 1/3, -5/3, -4, -26 Sort -3, 0, 1, 36 in ascending order. -3, 0, 1, 36 Put -8, -2, 5, -3 in descending order. 5, -2, -3, -8 Sort 194, 2, 4 in ascending order. 2, 4, 194 Put 4, 6, -5 in ascending order. -5, 4, 6 Sort -0.06, -0.05, 11 in decreasing order. 11, -0.05, -0.06 Sort 2, -4, -3, -5, -2 in decreasing order. 2, -2, -3, -4, -5 Sort -1/4, 7, -0.12. -1/4, -0.12, 7 Sort -1.2, 1/2, -0.5, 4 in ascending order. -1.2, -0.5, 1/2, 4 Put 7/11, -9, -5 in ascending order. -9, -5, 7/11 Sort -2, 1/3, 0.7, -25. -25, -2, 1/3, 0.7 Sort 317, 4, 2, -
{ "pile_set_name": "DM Mathematics" }
-3*u + s - 26 = 0. Is z + 6 + (u - -9) a multiple of 5? False Let f(v) = -25*v - 7. Does 21 divide f(-7)? True Let u(m) = 11*m**3 - 4*m + 1. Let w(j) = -21*j**3 + 7*j - 2. Let t(h) = 11*u(h) + 6*w(h). Is 6 a factor of t(-1)? True Suppose 5 = 5*z, -138 = 4*w + 3*z + 95. Let v = w + 159. Is 11 a factor of v? False Let n = 19 + -9. Let t be -7*1*(-19)/133. Is n/(t + (-12)/16) a multiple of 12? False Suppose -3*m = 0, 3*j + 2*m - m + 513 = 0. Let u = -53 - j. Suppose 86 = w + w + 4*q, 5*q + u = 3*w. Is w a multiple of 14? False Suppose -7*y + 3*y = -12. Let i = y + -2. Does 3 divide i/(-2)*-6 + 4? False Let i(m) = -8*m - 5. Let t be i(7). Let r = t - -126. Is 25 a factor of r? False Let j(s) = 7*s**3 - 9*s**2 - 40*s + 29. Let r(y) = -3*y**3 + 5*y**2 + 20*y - 14. Let x(d) = 2*j(d) + 5*r(d). Is x(9) a multiple of 6? True Suppose -2*i - k + 62 = 0, -3*i + k + 82 = -3*k. Let n = i + 29. Is (n + 3)/(0 - -2) a multiple of 8? False Let s = 16 + -19. Let m be -4 - (2 - (s + 2)). Let d(t) = t**2 - 3*t - 10. Does 22 divide d(m)? False Suppose 6*z + 3*z = 414. Let a = 93 - z. Is 13 a factor of a? False Let z(k) = -456*k - 169. Is z(-7) a multiple of 88? False Let h = 40 - 36. Suppose 4*r - 7*j - 432 = -3*j, -2*r - h*j = -216. Suppose r = 6*v - 738. Is 27 a factor of v? False Let i = 1747 - 893. Is 7 a factor of i? True Let z(t) = -t**3 - 8*t**2 + 31*t - 44. Does 32 divide z(-12)? True Let u(z) = 551 - 552 - 37*z + 2*z. Is u(-3) a multiple of 26? True Suppose 5 = -7*s + 2*s. Let i be 24*s*(-9)/6. Let g = 57 - i. Is g a multiple of 6? False Let q = -56 - -64. Is (-4*q/(-32))/((-2)/(-228)) a multiple of 15? False Let n(o) = 10*o**2 - o. Suppose -3*j = -3*h, -2*h + h - 2 = j. Let z be n(h). Suppose 2*y - 49 = -5*u, -4*y + 5*u + z = -12. Is 12 a factor of y? True Let v(n) = n**3 + 9*n**2 + 7*n - 1. Let x be v(-8). Suppose 0*s - 4*s + x = -3*d, 0 = -5*d + 2*s - 7. Is 11 a factor of 4 + d - -16 - -3? True Let r(s) = s**3 - 5*s**2 + 2*s - 5. Let q be r(5). Suppose -2*m + q*x + 18 = -m, 2*x - 6 = -4*m. Suppose 44 = m*w + 14. Is 10 a factor of w? True Let s be (-6)/(-9) + (-770)/(-6). Does 5 divide s/4 - (15/12 + -1)? False Let c(x) = 3*x - 10. Let y be c(4). Suppose 10 = 5*m + 5*k, y*m + k = 4*k + 14. Suppose -292 + 40 = -m*i. Is 13 a factor of i? False Suppose 3*b - 55 = 2*b. Let a(o) = -o**3 - 32*o**2 + 32*o + 62. Let v be a(-33). Let f = v - b. Does 10 divide f? True Suppose 122 = -5*h - 13. Let t = 101 + h. Suppose -t = -4*v + 22. Does 12 divide v? True Let l(n) = 1 - 6*n**2 + 3 - 5*n**2 + 20*n**2. Is 5 a factor of l(-3)? True Suppose 8*y + 38*y = 29808. Is 52 a factor of y? False Let a(x) = x**3 + 6*x**2 - 7*x - 11. Suppose 0 = 2*i - 2*l + 8, -2*i + l = 4*l + 13. Let b be a(i). Suppose -185 = -2*n + b. Is 32 a factor of n? False Let h(f) be the second derivative of f**3/6 + f**2 + f. Let z be h(-2). Suppose z = 2*o - o - 40. Does 8 divide o? True Suppose -14601 - 32355 = 13*m. Does 22 divide -2 + m/(-18) + 2/(-3)? True Is -3 + (-4)/(-6)*15147/18 a multiple of 6? True Let t(n) = n**3 - 13*n**2 + 12*n + 3. Let i be t(12). Suppose 0 = -y + 4, i*m + 0*m - 560 = -5*y. Does 18 divide m? True Let x(u) = -u**2 - 12*u + 15. Let l be x(-13). Suppose 179 = -l*w + w. Let g = w - -263. Is g a multiple of 23? False Suppose 0 = 4*l - 3*c - 21 - 38, 5*c - 15 = 0. Let y = -13 + l. Is (-3)/(2*y/(-40)) a multiple of 3? True Let g(c) = -c**2 + 18*c - 28. Let n be g(18). Let p = 36 + n. Is p a multiple of 3? False Does 10 divide 20748/60 - (-24)/20? False Let w(x) = x**3 - 11*x**2 - 14*x - 11. Let s be w(12). Let g = 59 + s. Does 24 divide g? True Let w = 701 + -632. Is 3 a factor of w? True Let g(y) = 5*y + 51. Is 29 a factor of g(-4)? False Let i = 1 + -15. Let w = -11 - i. Is 3 a factor of w? True Let t be -123*1/6*-10 - 1. Let n(h) = -108*h. Let m be n(1). Let w = m + t. Is w a multiple of 25? False Let k(b) = -2*b - 3*b + 12*b - 1. Let v be (-424)/(-56) - 7 - (-24)/7. Does 12 divide k(v)? False Suppose 267 = z - 0*z. Suppose -3*q - 240 = z. Is 14 a factor of q/(-4) + (-2)/8? True Let p = -7 - -10. Let o = -12 + 19. Suppose -p*n + 97 = o. Is 11 a factor of n? False Suppose -18*k = -16*k - 500. Suppose -52 = 2*v - k. Is 33 a factor of v? True Let m(x) = 2*x**2 - 33*x + 75. Does 3 divide m(15)? True Let j(d) = 24*d**2 - 32*d + 144. Is 51 a factor of j(6)? True Let s = 17 + -5. Let q = s + 13. Let z = q + 20. Is z a multiple of 15? True Suppose -973 = -8*r - 261. Suppose -4*j - 1 = -r. Is j a multiple of 3? False Is 2/(((-6)/(-8))/(23 + 34)) a multiple of 24? False Let i = 509 - 215. Suppose 0*y + 574 = 4*y - q, 0 = 2*y + 3*q - i. Does 25 divide y? False Let m = 109 - 107. Suppose -4*h + 666 = -m*h. Is 14 a factor of h? False Suppose -58*g + 4560 = -43*g. Is 13 a factor of g? False Suppose -840 = 4*i - 14*i. Suppose 4*f - i = -2*f. Does 2 divide f? True Suppose -v + 6*v - 30 = 0. Suppose -v*o + 315 = -57. Is o a multiple of 14? False Let c(a) = 7*a**2 - 92*a - 11. Is 64 a factor of c(-15)? True Suppose -24*l - 745 = -29*l. Suppose -l*n + 145*n + 580 = 0. Is 5 a factor of n? True Let c(s) be the third derivative of -s**4/24 - s**3/6 - 5*s**2. Suppose -2*f - 6 = 14. Does 9 divide c(f)? True Let w(b) = -b**2 - 19*b - 8. Is w(-18) a multiple of 5? True Let x(t) = -9*t**3 - 8*t**2 + 12*t - 37. Does 117 divide x(-7)? True Let h = 9 + -5. Suppose 0 = -p - h*g + 19, -6 = -3*p + g - 1. Suppose p*k + 3*r - 99 = 0, 101 = 3*k + 5*r - 4*r. Is k a multiple of 11? False Let p = -34 + 38. Suppose 0 = p*d + 4*m, -d - 4*m = 4*d - 4. Is d a multiple of 2? True Is (-111)/((72/(-66) + 1)*1) a multiple of 11? True Let i(l) = -l**2 - 5*l - 12. Let w be i(-8). Is 11 a factor of (w/14)/(4/(-308))? True Is 75 a factor of ((-456)/190)/(1/(-125))? True Suppose -j + 5*r + 6 = -16, -3*r = -2*j + 16. Suppose 5*z - 88 = -j*n, 4*z + 131 = 3*n - 47. Is n a multiple of 11? False Let g = -70 - -46. Let p = 56 - g. Is p a multiple of 15? False Suppose 38*h - 36*h - 5372 = 0. Is 17 a factor of h? True Suppose 2*k = -2*b - k - 3, -4*b - k - 1 = 0. Suppose m + 0*r = 5*r + 10, b = 5*r - 15. Is 11 a factor of m? False Let c = -16 - -30. Suppose -25 = -3*q + c. Let k = q - 2. Is 11 a factor of k? True Let y(p) = -6 + 1 + 10*p**2 - 8*p + 8. Is y(3) a multiple of 23? True Suppose -6*u = -167 - 259. Is 71 a factor of u? True Suppose -6*f + 2343 = -1287. Does 11 divide f? True Suppose -22*n + n = -19992. Is n a multiple of 8? True Suppose 10 = 4*j - 6. Suppose -9*s + 600 = -j*s. Suppose -2*n + s - 18 = 5*d, 3*d - 6 = 0. Is 23 a factor of n? True Suppose 6916 = 46*s - 39*s. Is s a multiple of 34? False Suppose 280 + 50 = 5*m. Let w = m + -21. Is w a multiple of 7? False Let b be (13 - 8)*(-96)/10. Let l = b + 24. Is (l/18)/(6/(-189)) a multiple of 14? True Suppose 5*n = 8*n. Let x = -3 - -5. Suppose n = -x*a + a + 9. Does 4 divide a? False Suppose -3*q = q - 32. Let j = q + -4. Suppose 6*a - 2*a - 4*u - 52 = 0, -j*u + 8 = 0. Is 15 a factor of a? True Let a(x) = -4*x**3 - 4*x**2 - 5*x - 2. Let h be a(-3). Let q = h - 6. Does 11 divide q? False Let i(o) = o**3 - 3*o**2 - 8*o + 4. Let b(g) = g**2 - 1. Let f(c) = -4*b(c) - i(c). Suppose 0*d - 5 = d. Is f(d) a multiple of 12? True Is 50 a factor of (165/9 + -3)*210/20? False Let l be ((-972)/30)/(-9) - 9/15. Let x(q) = 4*q**2 - 5*q + 7. Let t be x(5). Suppose t - 7 = l*s. Is s a multiple of 17? False Suppose -v - 1 = -5. Suppose -941 = -v*c + 719. Suppose -4*l + c = l. Is 21 a factor of l? False Let k = 64 - 4. Suppose -x - 4*x = -k. Is 4 a factor of x? True Let o be 1/3 + 70/15. Suppose 4*f = o*f - 38. Is f a multiple of 19? True Suppose -4*x = -49 + 9. Suppose x*m = 5*m + 105. Is m a multiple of 7? True Suppose 116*h - 121*h + 120 = 0. Let y = -17 - -5. Let z = h + y. Is z a multiple of 12? True Suppose y - 13 = -6. Suppose 8*i - y*i = 69. Is i a multiple of 13? False Let k = -537 - -861. Is k a multiple of 27? True Let l(m) be the second derivative of -2*m**3 - 29*m**2/2 + 35*m. Is l(-15) a multiple of 42? False Let d be 310 + (-1)/((-1)/4). Suppose 2*k + 5*h - d = 0, -2*h = -4*k + 2*k + 300. Is k a multiple of 31? False Let y(j) = j**2 + 34*j + 49. Let r be y(-26). Is (1 + (4 - 7))/(6/r) a multiple of 29? False Let u = 47 + -19. Suppose -i - 5*m = -u, 0*m = -5*i - 2*m + 25.
{ "pile_set_name": "DM Mathematics" }
)*-5)**2*4. 300 Simplify (sqrt(60)/(sqrt(120)/(sqrt(10) - (sqrt(40)/sqrt(4) - sqrt(10)))))**2. 5 Simplify -2 + (sqrt(11) + -2)*-3. -3*sqrt(11) + 4 Simplify sqrt(17)*-1 + 5 - (sqrt(68) + sqrt(17) - sqrt(17))*-4. 5 + 7*sqrt(17) Simplify (((sqrt(156) + (sqrt(156) - -1*sqrt(156)))*-3 - sqrt(156) - sqrt(156)) + sqrt(156) + sqrt(156))/(6*sqrt(24)/sqrt(2)). -3*sqrt(13)/2 Simplify (sqrt(2) + (-1*sqrt(2)*-2)**2)*3. 3*sqrt(2) + 24 Simplify -6*sqrt(448)*1. -48*sqrt(7) Simplify ((sqrt(130) + 6*(sqrt(130) + sqrt(130)*-5))/sqrt(10))**2. 6877 Simplify -1*(sqrt(204)*-4)/sqrt(12)*3. 12*sqrt(17) Simplify sqrt(88)/(6*-1*sqrt(8)). -sqrt(11)/6 Simplify sqrt(49)/(sqrt(7) - sqrt(700)*1). -sqrt(7)/9 Simplify 2 + (sqrt(35)/sqrt(5)*1 - (sqrt(1008) + 2)). -11*sqrt(7) Simplify (sqrt(117) - (sqrt(117)*2 - sqrt(117))*5 - sqrt(117))/(sqrt(81)*-1) + -1. -1 + 5*sqrt(13)/3 Simplify sqrt(192) - (sqrt(12) + 0 - sqrt(12)). 8*sqrt(3) Simplify (sqrt(91) - (1*sqrt(91) - sqrt(91))*-6)/(sqrt(175) - -2*sqrt(175) - sqrt(175)). sqrt(13)/10 Simplify (-1*sqrt(1800) - sqrt(1800))/(sqrt(42)/sqrt(63)). -60*sqrt(3) Simplify sqrt(2299) - (-3 + (sqrt(2299)*1)**2). -2296 + 11*sqrt(19) Simplify ((-5*(sqrt(170) + 1*sqrt(170)) + sqrt(170) + sqrt(170))/(sqrt(50)/sqrt(5)*6 - sqrt(10)))**2. 1088/25 Simplify ((sqrt(294)*-2 + sqrt(294) + sqrt(294))/(sqrt(48)/sqrt(6)))**2. 0 Simplify (4 + sqrt(1584) + -1)**2. 72*sqrt(11) + 1593 Simplify (sqrt(1300) - ((sqrt(1300) + -2)*-2 - sqrt(1300)))**2. -320*sqrt(13) + 20816 Simplify (6*(-1 + sqrt(117) - sqrt(117) - sqrt(117)))**2 + 0. 216*sqrt(13) + 4248 Simplify (sqrt(136)/(sqrt(8) - sqrt(512)*-1))**2. 17/81 Simplify (((sqrt(252) - sqrt(7)) + 4)*-2)**2. 160*sqrt(7) + 764 Simplify (sqrt(35) + (sqrt(875) + sqrt(35))*5)/((-3*sqrt(15)/sqrt(3) - sqrt(5)) + sqrt(5)). -31*sqrt(7)/3 Simplify (2*sqrt(245) + 1 - (4 + (sqrt(245) - (-2 + sqrt(245)))))**2. -140*sqrt(5) + 1005 Simplify ((sqrt(432) - sqrt(432)*-1)**2 - sqrt(3)) + sqrt(120)/sqrt(10). sqrt(3) + 1728 Simplify (sqrt(2) - (sqrt(50)*2 + sqrt(50)))*6. -84*sqrt(2) Simplify ((sqrt(34)/(sqrt(8)/sqrt(4)))**2 - sqrt(17) - sqrt(17)) + sqrt(17) + 3. -sqrt(17) + 20 Simplify sqrt(2736)*1 + 1 + sqrt(1900). 1 + 22*sqrt(19) Simplify (sqrt(2) + (sqrt(2) - sqrt(8)*-4))**2 + (sqrt(12)/sqrt(2))/sqrt(3). sqrt(2) + 200 Simplify (sqrt(45)/(sqrt(36)/sqrt(4))*-1)**2. 5 Simplify sqrt(567) + -4 + sqrt(567) + -5. -9 + 18*sqrt(7) Simplify 2*(sqrt(11) + sqrt(33)/sqrt(3)) + 1. 1 + 4*sqrt(11) Simplify ((-2 + sqrt(700))*-4)**2. -640*sqrt(7) + 11264 Simplify ((sqrt(140) + 2*sqrt(140))/sqrt(10))/(sqrt(24)/sqrt(108)). 9*sqrt(7) Simplify (3 + 0 + sqrt(242))*-2. -22*sqrt(2) - 6 Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*1))*-3)/(2*1*sqrt(12)). 3*sqrt(17)/2 Simplify -2 + sqrt(60)/(sqrt(12) + sqrt(108) + sqrt(12)) + sqrt(5). -2 + 6*sqrt(5)/5 Simplify (-3 + sqrt(7) + sqrt(7) + (sqrt(7) - -4*sqrt(7)*-1))*-4. 4*sqrt(7) + 12 Simplify -1*sqrt(24)/(-2*sqrt(588)). sqrt(2)/14 Simplify sqrt(63)*2 + 3 + (1 + sqrt(7))**2. 11 + 8*sqrt(7) Simplify sqrt(171) + 1 + 5 - 2*(sqrt(76) + -1). -sqrt(19) + 8 Simplify (0 + -4 + sqrt(2))**2 - (-2*sqrt(18))/sqrt(9). -6*sqrt(2) + 18 Simplify -5 + (sqrt(128)/sqrt(4) - sqrt(32))**2 + 4. -1 Simplify ((sqrt(13) - sqrt(117)/(sqrt(9) + sqrt(27)/sqrt(3))) + 4*sqrt(1872))**2. 122317/4 Simplify (2 + sqrt(45))**2*6. 72*sqrt(5) + 294 Simplify -5*(sqrt(2299)*-1 + 3)**2. -11540 + 330*sqrt(19) Simplify ((sqrt(891) - (0 + sqrt(891))) + -3)**2 - -4*(sqrt(891) + -1). 5 + 36*sqrt(11) Simplify 1 + (3*(sqrt(204)*3 - sqrt(204)) + sqrt(204) - sqrt(204))/sqrt(12). 1 + 6*sqrt(17) Simplify ((sqrt(117) + sqrt(117) + -3 - sqrt(117)) + sqrt(117))**2 + (sqrt(1300) + 5)**2. 64*sqrt(13) + 1802 Simplify -2*(sqrt(1100) + (sqrt(1100) + 2 - sqrt(1100) - sqrt(1100)))*-2. 8 Simplify sqrt(15)/((sqrt(180)/sqrt(6))/sqrt(10)). sqrt(5) Simplify 4 + (sqrt(13) + (sqrt(13) + (sqrt(52) + 4 - sqrt(13)) + sqrt(13))**2 - sqrt(52)*4). 17*sqrt(13) + 137 Simplify (sqrt(112) + (-1*sqrt(112) + sqrt(112))*2 - (sqrt(112) + 1 + 3))**2. 16 Simplify ((sqrt(220)/sqrt(5) - sqrt(44))*-2)/sqrt(4) + 5. 5 Simplify 1*(sqrt(171) + sqrt(19))*5 + 0. 20*sqrt(19) Simplify ((-1*sqrt(360) - sqrt(360))/sqrt(9) + sqrt(40))/(1*sqrt(128)). -sqrt(5)/4 Simplify (sqrt(14)/((-1*sqrt(847) - sqrt(847)) + sqrt(7)))**2. 2/441 Simplify ((-3*-2*sqrt(187) - sqrt(187))/(-1*sqrt(22)/sqrt(2)))**2. 425 Simplify (-2*sqrt(30)/(sqrt(60)/(sqrt(100)/sqrt(10))))**2. 20 Simplify (sqrt(320)/sqrt(4))**2 + (sqrt(5) + sqrt(5) + 5*sqrt(10)/sqrt(2))**2. 325 Simplify ((sqrt(24) - sqrt(864) - sqrt(24))/sqrt(12) - (sqrt(2) + (sqrt(2) - 6*sqrt(98))))**2. 2312 Simplify 3*((sqrt(36) - sqrt(324))/sqrt(12) - sqrt(3))*-4. 36*sqrt(3) Simplify (2 + sqrt(1900) + sqrt(1900) + -3 + sqrt(1900))**2. -60*sqrt(19) + 17101 Simplify ((sqrt(33) - sqrt(297)/sqrt(9))*-6)/sqrt(11). 0 Simplify (sqrt(448) + -4*sqrt(448))*-2. 48*sqrt(7) Simplify (2*sqrt(21)*2 + sqrt(21))/sqrt(3). 5*sqrt(7) Simplify ((sqrt(448) + sqrt(448) + 2)*4)**2 - sqrt(448). 1016*sqrt(7) + 28736 Simplify (sqrt(275) + sqrt(275)*-2)**2*6. 1650 Simplify (-2*sqrt(2) + 2)**2 + (sqrt(2) + sqrt(10)/(sqrt(5)*-2))**2. -8*sqrt(2) + 25/2 Simplify (1*(sqrt(2) + (sqrt(2) - (-1 + sqrt(2))) + -3))**2. -4*sqrt(2) + 6 Simplify (sqrt(18) + (sqrt(216)*-2 - sqrt(216))/sqrt(12))/(-2*sqrt(576) + sqrt(576) - sqrt(576)). sqrt(2)/8 Simplify sqrt(1125)*6. 90*sqrt(5) Simplify -2 + ((((sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*2 + sqrt(114) - sqrt(114))) + sqrt(114) - sqrt(114)) + sqrt(114))*6)/sqrt(6). -12*sqrt(19) - 2 Simplify 5 + 0 + sqrt(13) + (sqrt(325))**2 + -3. sqrt(13) + 327 Simplify ((sqrt(72)*-1)/sqrt(9))/(sqrt(4) + (sqrt(24) - sqrt(384))/sqrt(6)). sqrt(2)/2 Simplify (-2 + sqrt(684))**2 - (sqrt(57)/(sqrt(15)/sqrt(5)))**2. -24*sqrt(19) + 669 Simplify (sqrt(55)*-1*6)/(-3*sqrt(99)). 2*sqrt(5)/3 Simplify (-6*(2 + sqrt(13) - sqrt(13)) + 3*((sqrt(13) - sqrt(13)*-3) + sqrt(13)) + sqrt(13) + sqrt(13))**2. -408*sqrt(13) + 3901 Simplify -3*(sqrt(63) + -1). -9*sqrt(7) + 3 Simplify 5 + 1 + (sqrt(17) + -1)**2. -2*sqrt(17) + 24 Simplify ((sqrt(85) + 1*sqrt(85)*5)/sqrt(5))**2 + -5. 607 Simplify (sqrt(6)*-2*2)/(sqrt(12)/(sqrt(6) - sqrt(54))). 8*sqrt(3) Simplify (sqrt(78)/sqrt(162))/sqrt(3). sqrt(13)/9 Simplify -1 + sqrt(7) + 1 + -5. -5 + sqrt(7) Simplify (sqrt(128) + sqrt(128) + 1 + sqrt(128) + sqrt(128) + sqrt(128) + -1 + sqrt(128) + sqrt(128))**2 + 3. 6275 Simplify sqrt(3) - (sqrt(3) + 2)*-3 - ((0 + (sqrt(48))**2 - sqrt(3)) + sqrt(3)). -42 + 4*sqrt(3) Simplify 4 + (sqrt(20)*-1 - sqrt(20) - (sqrt(80)/sqrt(4))**2). -16 - 4*sqrt(5) Simplify (sqrt(204) - (sqrt(204) + -2*((sqrt(204)*-3 + sqrt(204) - sqrt(204)) + sqrt(204)) + sqrt(204)))/sqrt(12). -5*sqrt(17) Simplify (((sqrt(550) + sqrt(550)*1 + sqrt(550))/sqrt(10) - sqrt(55))/((sqrt(35)*1)/sqrt(7)))**2. 44 Simplify (sqrt(13) - (sqrt(325) + 0))**2 - (sqrt(208)*1 + sqrt(13)). -5*sqrt(13) + 208 Simplify (sqrt(8)*2 + -2 - sqrt(8))**2. -8*sqrt(2) + 12 Simplify 4*2*((sqrt(17) - -2*sqrt(17)*-4) + 2). -56*sqrt(17) + 16 Simplify ((sqrt(13) + sqrt(117) + 1 + sqrt(13))*-1)**2. 10*sqrt(13) + 326 Simplify (((sqrt(152) - -2*sqrt(152)) + sqrt(152) - sqrt(152))/sqrt(4))/(-1*sqrt(8)). -3*sqrt(19)/2 Simplify ((sqrt(539) - (-5 + sqrt(539)*2)) + (2*(sqrt(539) + (sqrt(539)*-1 - sqrt(539))))**2)*5. -35*sqrt(11) + 10805 Simplify ((sqrt(78) - (-2*sqrt(78) + sqrt(78)))*6)/(sqrt(36)/(sqrt(6) + 1*sqrt(6))). 24*sqrt(13) Simplify (sqrt(114)/sqrt(6) + -1 - 3*sqrt(304))**2. 22*sqrt(19) + 2300 Simplify sqrt(51)/sqrt(3) + -3 + ((1*sqrt(153))/sqrt(9))**2. sqrt(17) + 14 Simplify 1 + (sqrt(44)*-2)**2 + 2. 179 Simplify (sqrt(13)*3)**2 + -3 - (5 + -1*sqrt(13)). sqrt(13) + 109 Simplify sqrt(720) - (sqrt(720) - ((-1 + sqrt(720) + 4 - sqrt(720)) + sqrt(720))). 3 + 12*sqrt(5) Simplify (sqrt(200)*-2 - sqrt(2)*1*-2 - (0 + sqrt(2) + 0 + 0 + sqrt(128)))**2. 1458 Simplify 6*sqrt(72) + 5. 5 + 36*sqrt(2) Simplify -5*(sqrt(475) + -1) + 1*(0 + sqrt(475)) + 5. -20*sqrt(19) + 10 Simplify (2 + sqrt(500) + -1 + sqrt(500) + 3)**2. 160*sqrt(5) + 2016 Simplify 1 + (sqrt(57)/(6*sqrt(432)))**2. 5203/5184 Simplify (6*sqrt(1872)*-2 - sqrt(1872)) + -1. -156*sqrt(13) - 1 Simplify ((sqrt(1100) - sqrt(1100)*1)**2 + 3)*6. 18 Simplify 0 + -6*(sqrt(6)/sqrt(2) + 5 - sqrt(3)). -30 Simplify (((sqrt(450)*-2)/sqrt(10))/(3*sqrt(27)/sqrt
{ "pile_set_name": "DM Mathematics" }
is the units digit of n? 6 Let i = -6 + 0. Let k(n) = n**2 + 4*n - 7. Let d be k(i). Let l = 9 - d. What is the units digit of l? 4 Let a(p) = -p**3 + 4*p**2 + 4*p + 5. Suppose q - 3 = 2. Let f be a(q). Suppose 6 = 3*t - f. What is the units digit of t? 2 Let z = 1219 - 782. What is the hundreds digit of z? 4 Let w = -2 - -5. Let l = 3 - w. Suppose -n - y + 13 = l, 1 = -n - 4*y + 11. What is the tens digit of n? 1 Suppose 24 = -2*a + 42. What is the units digit of a? 9 Let k(w) = 3*w - 4. What is the units digit of k(2)? 2 Let q be 12/30 + 396/10. Suppose 7 = l + 3. Suppose l*p - 46 = -2*d, -5*p + q = -5*d + 4*d. What is the units digit of p? 9 Let u(s) = 4*s - 5. What is the tens digit of u(12)? 4 Let m(i) = i**3 + 2*i**2 - 5*i - 2. Let y be m(-3). Let k be (-62)/12 - y/(-24). Let r(f) = f**3 + 4*f**2 - 8*f - 4. What is the units digit of r(k)? 1 Suppose 2*i - 82 = -0*i. What is the units digit of i? 1 Suppose -y = -4*i + 3, -3 = -3*i + y - 2. Suppose i*r + 50 = 5*h, -5*h + 2*h + 4*r = -44. Let x = -1 + h. What is the units digit of x? 7 Let p(k) = k**2 - 4*k + 2. Let o be (21/(-4) + 3)*-4. Suppose j - 2*y - o = 1, 4*j - 3*y = 25. What is the units digit of p(j)? 2 Let m be 3/(-3)*(-2)/2. Let k be (-1 + m)/(-5 + 6). Suppose -4*r + 5*z - 17 = k, -2*r + r - 4*z + 22 = 0. What is the units digit of r? 2 Let j(u) = 11*u**2 + u - 2. What is the tens digit of j(1)? 1 Suppose 0*f - 6 = 2*f. Suppose -5*z = b + 14, -b + 0*z + 4*z + 13 = 0. What is the units digit of (b/f)/(1/(-6))? 2 Let l(d) = -d**2 - d + 2. Let s be l(-2). Suppose s*y + 2*y = 14. What is the units digit of y? 7 Suppose 20 = -5*c, c = 5*j - 4 - 5. Let s be 5*(1/5 + -1). Let k = j - s. What is the units digit of k? 5 Suppose k - 171 = -3*k - 5*t, 220 = 5*k + 5*t. Suppose -q = -4*z + 2, 3*q - 2*z + z = k. What is the tens digit of q? 1 Let d(y) = y**2 - 3*y - 2. Let n be d(4). Suppose -5*o + 77 = z, -4*o - 8 + 66 = n*z. What is the tens digit of o? 1 Suppose -2*b = -2*r + 18, -4*r + 2 = 3*b + 1. What is the units digit of r + -1*(-1)/1? 5 What is the hundreds digit of 28/49 + 3516/21? 1 Suppose 11*d - 4*d - 1386 = 0. What is the tens digit of d? 9 What is the hundreds digit of 152 - ((-4)/(-1) + -3)? 1 Let h(q) = -q + 10. Let u be h(8). Let t(c) = c + 5. Let g be t(-6). Let y = u + g. What is the units digit of y? 1 Let l be (-24)/(-16)*4/(-3). What is the units digit of ((-4)/(-10))/(l/(-40))? 8 Suppose -4 = 4*f, 3*t + 3*f + 2*f + 35 = 0. Let h(b) = -b**2 - 13*b - 8. What is the tens digit of h(t)? 2 Let u be -186*(3 - (-14)/(-4)). Let n = -65 + u. What is the units digit of n? 8 Suppose 2 + 40 = 3*l. What is the tens digit of l? 1 Let f(h) = 25*h + 1. What is the units digit of f(3)? 6 Let x(g) = -g**3 + 4*g**2 - g + 3. Let j be x(4). Let n = j - -3. What is the units digit of n? 2 What is the units digit of (-3 + (-68)/(-20))*10? 4 Suppose 6*z - 2*z - 16 = 0. Suppose z = -j - 6. What is the units digit of (0 - 3)/(-3) - j? 1 What is the hundreds digit of -3*1/(-2)*4648/21? 3 Let n be (-2 + 1)*(1 + -2). Let u be (3 - 2)*(1 - n). Suppose 0 = 3*d - 6, -2*k - 2*d - 1 + 15 = u. What is the units digit of k? 5 Let r = 40 + -16. Suppose 3*n = m + 9 - 1, 3*n + 3*m = r. What is the tens digit of (-428)/(-20) - n/10? 2 Let g(s) = -s**2 + 50. Let l be g(0). What is the units digit of (-1)/((-2)/l*1)? 5 Let j = -7 - -8. Suppose 0 = -v + 11 + j. What is the tens digit of v? 1 Let h be (3 - (4 + 1)) + 6. What is the tens digit of 1/4*10*h? 1 Suppose -1 = -b + 2. What is the units digit of 4/2*(b - -1)? 8 Let h(a) be the third derivative of -a**5/60 - a**4/8 + a**3/3 - a**2. Suppose 2*u - 3*s = 9, 4*u + 5*s = 19 - 56. What is the units digit of h(u)? 2 Let w(d) = -4 + 1 + 9*d + 12 + d**2. Let c be w(-8). Suppose 4*t - 5*i = 43, t + i + i - c = 0. What is the units digit of t? 7 Let w(s) = s + 7. Let k be w(-7). Suppose 2*j + 3*j + 19 = x, -2*x + 5*j + 18 = k. What is the units digit of ((-6)/2)/(x/3)? 9 Let p = 21 - 12. Suppose -p - 1 = -5*q. Suppose -7 = -q*v + z - 1, z + 15 = 5*v. What is the units digit of v? 3 What is the hundreds digit of 290 + (36/126 - (-46)/(-14))? 2 Let x(k) = -3*k**3 + 4*k**2 - 2*k - 5. What is the units digit of x(-3)? 8 Suppose -b + 0*b = -o + 4, -31 = -4*o - b. Let i = -2 + o. Suppose i*q = 40 - 5. What is the units digit of q? 7 Let f(j) = -j**3 + 10*j**2 - 12*j. Let h be f(8). Let c = h - 6. What is the units digit of c? 6 Let b = 148 - -207. Suppose 103 = -2*f + b. What is the units digit of ((-9)/27)/((-2)/f)? 1 Let t(u) = -8*u - 4. Let m be t(-4). Let h = m + -20. What is the units digit of h? 8 Let w(z) = z**3 - 4*z**2 - 5*z. Let v be w(5). Let y(f) = -f**3 + f**2 + f + 6. What is the units digit of y(v)? 6 Suppose 10 = -5*g, -2*g = -3*l - 5*g - 6. Let c(j) = j + 9. What is the units digit of c(l)? 9 Suppose 0 = 5*j - m - 101, -m = 5*j - 5*m - 104. Suppose -3*i = -2*i + 2*n - 11, 5*n = j. Suppose -i*p = -6 - 3. What is the units digit of p? 3 Suppose 2*v - 5*a + 5 = 0, -v - 4*a + 1 = -3. Suppose 5*l + 3 - 23 = v. Let c = -1 + l. What is the units digit of c? 3 Let p be (1/(-2))/(2/12). Let f(y) = -y + 2. What is the units digit of f(p)? 5 Let v = -28 + 54. Suppose 4*x - 29 - v = m, -4*m - 12 = 0. What is the tens digit of x? 1 Suppose -16 = -3*b + 38. Let p be 112/18 - 4/b. What is the units digit of 12/(-5)*(-15)/p? 6 Let s = 2 + 10. Suppose -4*m = -12 - s. What is the units digit of m? 6 Suppose 4*d - 5*x = 70, -d + 3*x - 2*x = -18. Suppose -5*q = -0*q - d. What is the units digit of q? 4 Let s(x) = -15*x + 13. What is the hundreds digit of s(-6)? 1 Let u be 2 + (-1)/1 - -3. What is the units digit of (-6)/u*(-28)/6? 7 Let i = 48 + 114. What is the units digit of i? 2 Let r be -5 + 3/(-6)*0. Let b = r + 7. What is the units digit of b? 2 Suppose -833 = -8*c + 607. What is the units digit of c? 0 Suppose -m - 125 = -0*m. What is the units digit of (-1)/(-7) - m/7? 8 Let q(k) = 7*k**2 - k + 6. What is the tens digit of q(-3)? 7 Suppose -5*z = 2*j - 10, -2*j + 3*z + 10 = -z. Let r(d) = 3*d - 1. What is the tens digit of r(j)? 1 Suppose -5*o - a = 2, -4*a + 2 = 10. Suppose 3*w - w - 94 = o. What is the units digit of w? 7 Let u = 0 + 3. Suppose 27 = 3*d - u*v, 0 = d + d - 4*v - 20. What is the units digit of d? 8 Let u be (-1)/3 - (-38)/6. Suppose -q + 2*q - u = 0. What is the units digit of q? 6 Let q(s) = -s**2 + 7*s + 21. What is the units digit of q(9)? 3 Let t(l) be the first derivative of 3*l**2/2 + 2*l + 1. What is the tens digit of t(3)? 1 Suppose 5*f = 10*f - 100. What is the units digit of f? 0 Let x(z) = 2*z - 5. What is the units digit of x(7)? 9 Suppose 5*z - 28 = 3*z - 2*h, h = -2*z + 24. Let b be (12/z)/(3/20). Suppose -n + 2*p + b = 0, n - 5*p - 11 - 6 = 0. What is the units digit of n? 2 Let k = -1 - -7. What is the units digit of k? 6 Let p = 716 - 490. What is the units digit of p? 6 Suppose -4*u + 0*u + 16 = 0. Suppose 3*l = -u*a + 7*l + 8, 4*l + 4 = 3*a. What is the units digit of a? 4 Suppose -13 = 2*h - 3. Let r(k) = k + 5. Let t be r(h). Suppose 4*l - 12 = -t*l. What is the units digit of l? 3 Let j be 1/(-3)*21/(-1). Suppose 13 = 4*w - j. What is the units digit of w? 5 Suppose o + 0 = 2. Let t(q) = -1 + 3*q**3 + 2*q + 2 - 4*q**2 - q**3. What is the units digit of t(o)? 5 Suppose 0 = 7*n - 5*n - 28. What is the tens digit of n? 1 Suppose 19*m - 1110 = 4514. What is the units digit of m? 6 Suppose 4*c + 32 = -2*w, 0 = -0*c - 2*c + 3*w - 8. Let t = 10 + c. What is the units digit of t? 3 Let q = 15 - 4. Let s = -1 + q. What is the tens digit of s? 1 Let q(m) be the second derivative of -m**5/20 - 2*m**4/3 + 3*m**3/2 + 2*m**2 + 2*m. Suppose l = -3*a - 3, 5*l = -a - 3*a - 37. What is the units digit of q(l)? 4 Suppose 0 = -4*x + 20, x - 395 + 24 = -2*a. What is the hundreds digit of a? 1 Let n = -21 - -34. What is the tens digit of n? 1 Suppose 3*o = 10 - 1. Suppose -3*p + 0*d = 4*d - 21, -d = -o. What is the units digit of p? 3 Let m = -79 + 120. What is the tens digit of m? 4 Suppose -1 = 5*g + 4, p + 3*g = 1. Suppose -5*f - 11 + 41 = 0. What is the units digit of (f/p)/((-12)/(-16))? 2 What is the tens digit of 496/14 - 12/28? 3 Let z(d) = -d**2 + d - 2. Let m be z(3). Let g = 29 + -44. Let w = m - g. What is the units digit of w? 7 Su
{ "pile_set_name": "DM Mathematics" }
2 - 2*x - 20. Let g(v) = -3*c(v) - 5*q(v). Is 5 a factor of g(5)? True Does 37 divide 3/(-1*3*(-1)/74)? True Suppose 5*a + 10 = 10*a. Suppose a*r = r + 114. Is 19 a factor of r? True Is (-3734)/(-18) - 32/72 a multiple of 9? True Let h(l) = -4*l**2 - 8*l + 6*l**2 + 8 - 3*l**2 + 2*l**2. Is 8 a factor of h(8)? True Does 67 divide (-16)/(-72) - 20246/(-18)? False Suppose 2*t + 3*i = 1297, -1 - 2 = 3*i. Is 12 a factor of t? False Let c(q) = -4*q**3 + 4*q**2 + 4*q - 17. Let b(u) = -2*u**3 + 2*u**2 + 2*u - 9. Let g(j) = 7*b(j) - 4*c(j). Is 30 a factor of g(3)? False Let j be (-2)/(((-4)/(-6))/((-8)/6)). Suppose -r = 4*i - 36, -2*i - r - j + 22 = 0. Is 9 a factor of i? True Suppose 5*q - 108 = 117. Suppose 162 - 8 = 14*l. Let v = q + l. Is v a multiple of 7? True Let k(i) = -12*i**3 - i**2 - 3*i + 1. Let f(d) = -35*d**3 - 3*d**2 - 8*d + 3. Let w(y) = 4*f(y) - 11*k(y). Is 13 a factor of w(-2)? False Let l(c) = -2*c. Let h be l(3). Let i(t) = 40*t**3 - 3*t**2 + 17*t - 30. Let x be i(2). Is x/h*1/(-4) a multiple of 13? True Let n be (-21)/(-14)*(1 + 1). Suppose -2*q - n*w + 23 = 0, 51 = 4*q - 4*w + 5*w. Is q a multiple of 5? False Let u(y) = 7*y - 13. Let i(z) = -6*z**2 - 3*z + 9. Let a(o) = -11*o**2 - 6*o + 18. Let l(c) = -4*a(c) + 7*i(c). Let j be l(-4). Does 11 divide u(j)? False Let v(x) = -x**3 + 2*x**2 + 3*x + 3. Let k be v(3). Let y(r) = 18*r + 3. Let f(j) = -8*j - 1. Let b(a) = -10*f(a) - 4*y(a). Does 6 divide b(k)? False Let k = -82 - -87. Suppose -k*h + 555 = -450. Is 20 a factor of h? False Does 13 divide (376/6)/((-8)/(-12))? False Suppose l = 3*c - 770, -c + l = -5*c + 1029. Is 19 a factor of c? False Suppose -6*a + 8670 = 4*g - 7*a, 5*g + a = 10833. Is 11 a factor of g? True Let p(z) = -13*z + 16*z + 0*z. Is p(10) a multiple of 11? False Let n be (-6)/(-4)*(-160)/(-15). Let q(z) = -3*z + 16*z**3 - n + 9*z**2 - 17*z**3 + 2*z. Does 20 divide q(8)? True Suppose -10*q - 2284 = -7544. Does 87 divide q? False Let n be ((-18)/5)/(2/(-5)). Suppose -n*y + 8 = -5*y. Suppose i = y, 0*u + 2*i = -3*u + 193. Does 21 divide u? True Suppose 5*h + 5*t = -1375, h + 4*h - 4*t = -1357. Does 33 divide h/14*(-26)/3? False Suppose 2*w + 23 = -3*l - 0*w, w = -l - 7. Is 6 a factor of (-153)/l - (0 - 1)? True Let a = 14 - 6. Suppose a*d - 560 = 4*d. Is 9 a factor of d? False Let o(z) = 2*z**2 + 3*z - 8. Let q be (-3 + 2)*7/((-35)/(-50)). Is 27 a factor of o(q)? True Suppose -h - 4 + 1 = r, 4*r + 3 = -h. Let t = r - -13. Does 13 divide t? True Let m = -733 - -1041. Is 4 a factor of m? True Let q(d) = 94*d**2 - 1. Let w be q(-1). Suppose 2*p - w = -p. Let b = p + -11. Is b a multiple of 6? False Let d(q) = q**2 + 14*q + 17. Let h be d(-13). Suppose -5*p - 78 = 4*f - 1413, 0 = -h*f + p + 1365. Suppose -2*w = 2*w - f. Does 16 divide w? False Suppose -4*b + 12 = 0, -5*z - 3*b + 1055 + 1329 = 0. Is z a multiple of 20? False Suppose 0 = 5*v + 10, 6*r - 4*r + 5*v = -18. Let p = 36 - r. Is p a multiple of 3? False Let l = 0 + -2. Suppose -10 = 2*g - 3*g - 3*s, 0 = 2*s + 4. Let x = g - l. Is 6 a factor of x? True Let i = -220 + 426. Is i a multiple of 3? False Let s = 298 + -268. Is 7 a factor of s? False Suppose -187 = -8*y + 37. Does 14 divide y? True Suppose 11*y = 3*u + 7*y - 40, 5*y = -20. Let c(w) = -w**3 + 11*w**2 - w + 26. Is 32 a factor of c(u)? False Suppose 3*w = 135 + 243. Suppose 11*h - w = -3*h. Does 2 divide h? False Let b = -46 + 51. Suppose -2*w - t = -237, -t + 594 = b*w + t. Is w a multiple of 40? True Is -2760*(1/(-5))/((-22)/(-44)) a multiple of 48? True Let c(j) = -j**3 + 5*j**2 + 3*j + 5. Let k be c(7). Let x = -47 - k. Does 14 divide x? False Let x = -5 + 79. Let y = x + -25. Is 2 a factor of y? False Let o(i) = 41*i**2 - 5*i. Suppose -5*w + 9 = 2*m, -2*m + w + 1 = -2. Is 14 a factor of o(m)? True Suppose 2*j - 3*n = 105, 2*j + 0*n = -3*n + 87. Suppose 4*g + j = 2*s, 2*s - 3*g = -0*g + 45. Does 9 divide s? True Suppose 0 = 6*q - 24*q + 3456. Is 13 a factor of q? False Let t(l) = 2*l**2 + 4*l - 90. Is t(-10) a multiple of 46? False Suppose -4*c + 938 + 462 = 0. Does 10 divide c? True Suppose 25 = 5*k, 63 = -2*z + 4*k + 765. Is z a multiple of 16? False Let y = 5 + -3. Suppose 0 = -3*m + y*c + 82, -m - c = -11 - 8. Is m a multiple of 12? True Suppose 6*h - 430 - 272 = 0. Is h a multiple of 51? False Suppose 3*r = -2*m - 0*m + 93, -227 = -5*m - 2*r. Suppose 0 = -4*z + 5*q + m, -2*z - 2*z = -3*q - 35. Let a = z - -22. Is a a multiple of 9? True Let o be (4 - (-271 - -2)) + 1. Suppose -6*z + 296 = -o. Is 19 a factor of z? True Is 31 a factor of (-2)/(-8)*(-32 - -3100)? False Suppose 0*l + 3 = -l - c, -3*c = -4*l + 23. Suppose 4*r = l*k + 2, 1 = -5*r + k + 5. Suppose -3*y + 8 = 5*d - r, -y + 4*d = -20. Is 4 a factor of y? True Let x = -104 + -137. Let f = 342 + x. Is 11 a factor of f? False Let s be (-3)/(4/(8/(-3))). Suppose s = -l - 0. Let d(b) = 7*b**2 + 2. Is d(l) a multiple of 15? True Let b = -187 - -272. Does 35 divide b? False Let a = 1602 - 358. Does 23 divide a/18 - 5/45? True Suppose -26*z + 28860 = -0*z. Is 14 a factor of z? False Suppose 3*c + j = -19, -4*c + 5*j - 38 = -0*j. Let q = c - -11. Suppose 50 = q*i + n + 10, 3*i - 7 = 5*n. Is i a multiple of 9? True Let p(l) = 3*l**2 + 37*l - 68. Is p(15) a multiple of 17? False Suppose 45 = -n - k + 135, -3*n + 3*k = -288. Is 7 a factor of (-2)/(n/(-87) - -1)? False Let n(j) = -4*j - 4. Let z be n(-2). Suppose 2*f + 2*s - 52 = 0, 4*f - 49 - 47 = z*s. Does 3 divide f? False Is 4 a factor of (-4)/12*43281/(-21)? False Suppose 90*t + 27456 = 106*t. Does 22 divide t? True Let z = -2406 + 3954. Does 36 divide z? True Let g(k) be the first derivative of 2*k**3/3 + 3*k - 3. Suppose -2*w + i = 3*i - 6, 0 = -4*w + 3*i + 33. Is g(w) a multiple of 25? True Suppose 5*u = 92 + 118. Suppose 0*w + 5*x - 87 = -4*w, 0 = -2*w - 2*x + u. Is w a multiple of 2? True Does 61 divide -2 + (-14)/(70/(-5805))? True Let c = -94 + 250. Suppose -5*n - c = 4*v, -3*n = -v + 61 + 36. Let u = n + 41. Does 3 divide u? True Let v = 12 - 9. Suppose 2*x + 11 + 8 = 3*l, v*x = -4*l + 48. Does 2 divide l? False Let p(s) = -2*s**3 + 3*s. Is p(-3) a multiple of 16? False Let y = 567 - 369. Suppose -y = -3*j + 3*h, -2*j = -0*h - h - 134. Does 17 divide j? True Let u = 2 - 4. Let j = u - 2. Let x(w) = -w**3 - 3*w**2 + 4*w + 4. Does 2 divide x(j)? True Let v(r) = 150*r**3 + 5*r - 5. Is 5 a factor of v(1)? True Let a be ((-168)/20)/((-3)/(-10)). Let o = a - -49. Does 3 divide o? True Let k = 446 + -314. Is k a multiple of 3? True Let k(w) = -w**2 - w. Let q(p) = 3*p**2 - 7*p + 2. Suppose -5*f = -0*f + 3*j + 17, -2 = -2*j. Let x(v) = f*k(v) - q(v). Is 12 a factor of x(-13)? True Let n be (-30)/(-16) + (-3)/(-24). Suppose -4*o + 18 = -n*o. Let d = o - -25. Is d a multiple of 17? True Does 113 divide ((-4)/4)/(-1 - 8128/(-8136))? True Suppose i = -0*i + 31. Let b be (12/(-54) - 0) + 202/18. Let j = i - b. Does 10 divide j? True Let g = 22 - 21. Suppose -493 = -5*q - 3*h, 5*h + 322 = 3*q - g. Does 30 divide q? False Let m = 1493 + 350. Is 97 a factor of m? True Suppose 0 = 2*s - 2 + 10, -s + 14 = h. Suppose 2*b = h - 2. Is 5 a factor of b? False Suppose 4*m = 12, -4*p - 3 = -p - 3*m. Suppose 7*c - p*c - 190 = 0. Does 10 divide c? False Suppose -12*u - 1635 - 2361 = 0. Let p = u + 694. Is 53 a factor of p? False Suppose -3*s + 4*j = -1802, 2*j + 5 + 5 = 0. Does 22 divide s? True Suppose 4*t + z - 937 = 0, 489 = 2*t + 2*z + 19. Is 39 a factor of t? True Let u(w) = w + 37. Is u(27) a multiple of 4? True Suppose 5*k + 232 = 3*h, 492 = 5*h + k + 124. Suppose -3*m + 6*m - h = 2*r, -94 = -3*m - 2*r. Suppose 0 = f - 0*u - 3*u - m, 0 = u. Is 14 a factor of f? True Let p = 113 + -113. Suppose 4*z - 109 - 107 = p. Does 18 divide z? True Suppose -52 = 4*q + 4*m, -q = -6*q + m - 59. Let r be (-273)/q + (-21)/28. Suppose -n + 2*n - r = 0. Is 11 a factor of n? True Suppose 8 = -2*v + 18. Is 6 a factor of (-3)/((-3)/53) - v? True Let i(p) = 742*p - 7. Is i(1) a multiple of 21? True Let k = -51 - 145. Let f be (-2)/(-9) + k/(-9). Is (-6 - -4)/((-4)/f) a multiple of 7? False Let q(h) = h**3 + 0 + 8 - 5*h + 5*h**2 + 0*h**2. Let t be q(-6). Is 45/t - (-5)/(-10) a multiple of 19? False Suppose 1024 = 3*n - 1082. Does 6 divide n? True Let z = 450 + -241. Is z a mul
{ "pile_set_name": "DM Mathematics" }
j - 7, a = -4*f + 3*j + 13. Calculate the remainder when 18 is divided by f. 2 Let h(n) be the first derivative of n**4/4 - 8*n**3/3 + 4*n**2 - 8*n + 20. Let r be h(7). Let f = 14 - r. What is the remainder when 72 is divided by f? 12 Let z(f) = 5*f**2 - 678*f - 254. Suppose 0*h - 2191 = -4*h - 5*y, -5*h + 2760 = 2*y. Calculate the remainder when h is divided by z(136). 14 Calculate the remainder when ((-64)/(-180) - (-4)/120*-4)*2259 is divided by 14. 12 Let v(f) = f + 3 + 0 - 5*f. Let c(h) = -h**3 - 48*h**2 + 2*h + 92. Let y be c(-48). What is the remainder when v(y) is divided by 11? 8 Suppose 1745 - 5077 = -17*w. Let t = w - 133. What is the remainder when t is divided by 11? 8 Suppose 4*s - 117 + 29 = 0. Let o = -610 - -719. Calculate the remainder when o is divided by s. 21 Suppose -983 = -2*s - 3*b, -5*s + 49*b - 48*b + 2432 = 0. What is the remainder when s is divided by 92? 27 Suppose -5*u = 3*f - 1303, -13*u - 21 = -10*u. What is the remainder when f is divided by 197? 52 Suppose 0 = 39*a - 114*a + 1601 - 626. Let v = 170 - 95. Calculate the remainder when v is divided by a. 10 Suppose 0 = -125*p + 176*p - 7497. Calculate the remainder when 1174 is divided by p. 145 Suppose -123*q - 25944 = -147*q. Calculate the remainder when q is divided by 277. 250 Let m = -66 + 306. Suppose -5*r = -r - m. What is the remainder when 299 is divided by r? 59 What is the remainder when 599 is divided by (-33)/(4488/(-119))*48/2? 11 Suppose -37*w - 3*d = -39*w + 1275, 0 = 3*w + 4*d - 1972. What is the remainder when w is divided by 65? 63 Let q(b) = -b + 195. Let p be q(30). Let f = p - 87. What is the remainder when f is divided by 3? 0 Let i = -4690 - -4713. What is the remainder when 1838 is divided by i? 21 Let h(d) = -d**2 + 9. Let m be h(2). Suppose -58 = -m*z + 32. Calculate the remainder when 50 is divided by z. 14 Let u(a) = -2*a**3 - 8*a**2 - 52*a - 320. What is the remainder when u(-6) is divided by 46? 44 Let r = -450 + 505. Let c = 2 + r. What is the remainder when 340 is divided by c? 55 Let m = -403 + 128. Let d = 331 + m. What is the remainder when d is divided by 41? 15 Let a(t) = -6*t**2 - 18*t + 47. Let k be a(-10). Let p = k - -399. Calculate the remainder when 285 is divided by p. 25 Let x(t) = t**3 + 2*t**2 + 2. Suppose 37*j = 33*j - 44, -4*z - 2*j + 690 = 0. What is the remainder when z is divided by x(3)? 37 Let v = 944 - 897. Calculate the remainder when 1499 is divided by v. 42 Suppose 14*d = -10*d + 20*d + 328. Calculate the remainder when 94 is divided by d. 12 Suppose o = 9*v - 14*v - 12, -v = -4*o + 57. Suppose o*r = 15*r - 10. What is the remainder when r is divided by 3? 2 Let l be (6104/(-16))/((-6)/24). What is the remainder when l/4 + (-9)/(-2) + -3 is divided by 43? 39 Suppose -350*u + 395*u - 5220 = 0. What is the remainder when 809 is divided by u? 113 Let c be 146/511 - (2 + 248/(-14)). Suppose -c = 103*g - 105*g. What is the remainder when 71 is divided by g? 7 Let t(x) = 117*x - 84. Let l be t(3). Suppose l = 7*u - 790. Calculate the remainder when u is divided by 38. 37 Suppose 4*l + 2*c - 770 = 3*c, -3*l + 5*c = -586. Suppose 5*x - 270 = -20. Calculate the remainder when l is divided by x. 42 Let o = 12 - -10. Suppose -122*x = -120*x - 2996. Suppose x = c + 13*c. Calculate the remainder when c is divided by o. 19 Let s = 378 - 151. Let f = s + 16. What is the remainder when f is divided by 31? 26 Let s(l) = 3*l - 4. Suppose 4*t + 4*r = 6*t - 548, 810 = 3*t - 2*r. Suppose -19*y - 97 = -t. Calculate the remainder when y is divided by s(3). 4 Suppose -605 = 3*l - 911. Calculate the remainder when l is divided by 13. 11 Let a(z) = 49*z + 108. Let v be a(-6). What is the remainder when 4*v/(-24) + 3 + -5 is divided by 1? 0 Calculate the remainder when 621 is divided by 1086/(14 + -8) + -13. 117 Let y = -149 + 145. Let m(b) = -b + 32. Calculate the remainder when m(y) is divided by 13. 10 Suppose -y + 4*y = 3*f + 1152, -3*y + f + 1154 = 0. Let s = 388 - y. Calculate the remainder when 18 is divided by s. 0 Let l(b) = -5*b + 3. Let i(z) = 2*z + 19. Let v be ((180/42)/(1/7))/2. What is the remainder when i(v) is divided by l(-2)? 10 Let g = 3687 + -3309. Calculate the remainder when g is divided by 64. 58 Let d = 3931 - 3843. What is the remainder when 3342 is divided by d? 86 Let h be (0 - (-12)/14)/((-5)/(-35)). Suppose 2*b - 10 = h. What is the remainder when 64 is divided by b? 0 Let t = 14 + -22. Suppose 2*n = -4*v + n + 44, -n = 4. What is the remainder when ((-2)/1 - -4)*(-116)/t is divided by v? 5 Suppose s = -3*l - 1, 5*s + 2*l + 10 = 31. Let d = 21 + -12. Suppose -d = -y + 2. Calculate the remainder when y is divided by s. 1 Suppose 0 = 1200*h - 1184*h - 176. Calculate the remainder when 713 is divided by h. 9 Let u(d) = -53*d**2 + 294*d - 47. Suppose -37 = 2*q - 137. What is the remainder when u(5) is divided by q? 48 Let v = -274 - -59. Let j = -174 - v. What is the remainder when 78 is divided by j? 37 Let q = -24825 - -26966. Calculate the remainder when q is divided by 43. 34 Suppose 0 = -4*q + 94*q - 223200. Calculate the remainder when q is divided by 11. 5 Suppose -4*f - 5*h = -878, -4*h + 0*h + 8 = 0. What is the remainder when f is divided by (37/148 - (-4)/(16/147)) + 7? 41 Let a be (6*10/(-60))/(1/(-31)). Suppose 0*q + 2*q - 12 = -h, -2*h = -3*q - a. Suppose -13 - 79 = -4*z. Calculate the remainder when z is divided by h. 9 Let b = 15 + 15. Let f(v) = -2*v**2 - 277*v + 4356. Calculate the remainder when f(14) is divided by b. 26 Suppose 9*d - 4*d - 128 = -4*m, -2*d - 160 = -5*m. Let w(s) = 2*s**2 - 21*s + 9. Calculate the remainder when w(14) is divided by (24/m)/(1/48). 35 Suppose -4*f + 4670 + 9938 = 0. What is the remainder when f is divided by 126? 124 Suppose 2*n - t - 83 = 0, 14*t = n + 18*t + 8. Let m(o) = -103*o**3 - o. What is the remainder when m(-1) is divided by n? 32 Let z = 1201 + -1124. What is the remainder when 689 is divided by z? 73 Let x(d) = -d**3 + d**2 - d + 9. Suppose 2*a = 2*y - 42, -379*y + 14 = -380*y - 4*a. What is the remainder when y is divided by x(0)? 5 Calculate the remainder when 937 is divided by (2 + -5 + -2)*-3 - (2 - 1). 13 Let o be 5 + 363/77 - 2/(-7). Let t(p) = -5*p**3 + 49*p**2 + 11*p + 10. What is the remainder when 339 is divided by t(o)? 19 Let k = 540 + -347. Calculate the remainder when k is divided by ((-14)/(-39))/(129/1677)*42/4. 46 Suppose 3*l = -3*g + 126, 43 = -4*l + 4*g + 243. Calculate the remainder when l is divided by 4. 2 Suppose -10 = -2*b, 5*r - 5*b = -b + 1015. Let j(u) = -25*u**3 + 2*u**2 - 1. What is the remainder when r is divided by j(-1)? 25 Let l(b) = 19*b + 990. Suppose 2*a - 559 = a. Calculate the remainder when a is divided by l(-50). 39 Let l(p) = -p + 3. Let q be l(0). Suppose -q*m - 30 = -96. Let d = -89635 + 89639. Calculate the remainder when m is divided by d. 2 Let l(c) = 2*c**3 - 3*c**2 - c - 4. Calculate the remainder when 36/(-8)*(-9424)/558 is divided by l(3). 16 Suppose -p = 4*d - 3, -2 - 6 = 5*p - 3*d. What is the remainder when (-106 - p)/(6/(-4)) is divided by 24? 22 Suppose 1270 + 11962 = 233*r - 19854. Let o = -13 + 22. Calculate the remainder when r is divided by o. 7 Suppose 0 = 5*j - 126*u + 127*u - 9438, 2*j = -4*u + 3786. Calculate the remainder when j is divided by 171. 6 Suppose -n = 2*u - 994 + 1003, 5*u = 2*n - 36. What is the remainder when 641 is divided by n? 2 Suppose 0 = -3*i - i + 176. Let g = 412666 + -412475. What is the remainder when g is divided by i? 15 Suppose 57*a + 78*a - 72732 = 21*a. What is the remainder when a is divided by 76? 30 Let h = 498 + -505. Calculate the remainder when 678 is divided by h - (-11 - (10 - 6)). 6 Let c = 2240 + -927. Calculate the remainder when c is divided by 73. 72 Suppose -13*o + 469 = 92. What is the remainder when 4 + 1*106 + -12 + 12 is divided by o? 23 Suppose x = 5*r + 826, 0 = 3*r - 7*r + 2*x - 662. Let c be r/(-25) + -7 + 3204/10. Suppose -10*b = -0*b - c. Calculate the remainder when b is divided by 11. 10 Let k(z) = -z**2 - 65*z - 570. Calculate the remainder when 292 is divided by k(-11). 4 Let z = -39832 + 39843. Calculate the remainder when 6464 is divided by z. 7 Suppose 4*z - 613 = c, 1 + 4 = -c. Let l = 137 - 232. Let t = l + z. What
{ "pile_set_name": "DM Mathematics" }
1/2))/h*h)**(10/7) assuming h is positive. h**(-31/63) Simplify ((h**(-1/5))**(-4/15)/((h*h**(-13/3))/(h*h*h**(-9))))**(-37) assuming h is positive. h**(10027/75) Simplify h**(3/7)/(h*h*h**7)*(h**(-1/2)/h)**(-45)*((h/(h/h**(-2/5)))/h**(-7))/(h**2/((h**(3/8)*h)/h)) assuming h is positive. h**(17893/280) Simplify ((i**(-1/3))**(-48))**(-29)*((i/i**(9/4))/i**0)**15 assuming i is positive. i**(-1931/4) Simplify ((k/k**(-1)*k)**(-35))**(-2)/(k*(k*k**(1/4))/k*k*k*k*k**(1/5)/k)**(4/31) assuming k is positive. k**(32481/155) Simplify ((t/(t/(t**(2/7)*t)))/(t/((t**(2/25)/t)/t)*t*t))**(-36)/((t/t**5*t*t)/(t/t**(2/17))*(t**(-1/4)*t)**(-45)) assuming t is positive. t**(1992853/11900) Simplify (q**0/q)**16/(q**(-2/3))**(-4/17)*(q**(-6)/(q*q/q**(3/7)))/((q**(-1/4)/q)/(q*q*q/(((q*q**(-3/4)/q)/q)/q)*q)) assuming q is positive. q**(-5615/357) Simplify (o**5/(o*o*o/o**4))**(2/27)*o**(-3)*o**(-3/4)*(o/(o**1*o)*o)**39 assuming o is positive. o**(-119/36) Simplify (p**(-2)/((p/(p/p**(2/7)*p))/p))**(4/25)/((p*p**(-1/2)/p)**(-1/27)/(p**(1/3))**(2/29)) assuming p is positive. p**(-11303/274050) Simplify (((m**(-2/5)*m)/m*m)**(-1/2)*(m*m**5)/m**(-1/4))/((m/((m/(m**(-5)*m*m)*m)/m)*m*m**(-2/11))/(m**1)**(-43)) assuming m is positive. m**(-7671/220) Simplify ((w**(-2/5)*(w**(5/6)*w)/w)**(27/2))**(-42) assuming w is positive. w**(-2457/10) Simplify ((w*w/(w/w**4))/(w/(w**(-1)/w))*w*w**(-2/5)*w*w*w/w**(-1/5))/((w*w/w**4*w**(-2)*w)/(w**5/(w**(-2)*w*w))) assuming w is positive. w**(69/5) Simplify (((w/w**(-1/6))/(w*w**(-13)/w))/(w*w**(2/9))**24)**(3/8) assuming w is positive. w**(-91/16) Simplify ((n*n**(1/3)/n)**(-8/11)/(n**20*n**(-10)))**(-5/8) assuming n is positive. n**(845/132) Simplify ((j**(2/5)/j**(-4))/(j*j**(-2/17)*j*(j**5/j)/j))/((j**(-1)/j)/(j/(j**(1/8)*j))*(j/j**(2/7))**30) assuming j is positive. j**(-95371/4760) Simplify (((t/(t*t*t**2))/t)**(4/11))**(-15/4)*(t**(2/3))**(23/2)/((t*t**5)/(t*t/t**(5/6))) assuming t is positive. t**(547/66) Simplify (((y**(2/5)*y)**9*(y/((y**6/y)/y))/(y/(((y*y/(y/(y*y/y**(-3/4))))/y)/y)))**(-41))**16 assuming y is positive. y**(-33948/5) Simplify ((((w/w**(-7))/(w/(w/w**(1/14))))**38)**(-43))**(-39) assuming w is positive. w**(3536793/7) Simplify ((f**(2/17)/f)**0/(f*(f*f**(-6)*f*f)/f*f*f)**(1/5))**48 assuming f is positive. f**(48/5) Simplify ((l**0)**29*l*l/((l*l**(-2/3))/l)*l*l*l**(1/5))/((l**(-2/3))**(-9))**(-6/7) assuming l is positive. l**(1051/105) Simplify ((w*w**(2/5))/w*w**(-1/3))/((w/((w/w**6)/w))/(((w*w**1)/w*w)/w))*(w**(2/9)/w*w/(w*(w/w**0)/w*w*w))**(-3/5) assuming w is positive. w**(-64/15) Simplify (w*w*w**(-2/25)*w*w*w*w/((w*w**(-1/8))/w)*w/(w*w/((w/(w/(w/(w*w**(-2/13)*w))))/w*w))*w/(w/(w**(-4)/w)))**(-12/7) assuming w is positive. w**(6249/4550) Simplify (o**(-2/27)*o/(o**(-2/3)*o*o*o))**(-47)*(o/((o/((o**(-4/9)*o)/o))/o*o)*o**2)/(o**(3/5)/o*o**(-5)/o) assuming o is positive. o**(10004/135) Simplify ((s**(1/37)*s**24)**3)**1 assuming s is positive. s**(2667/37) Simplify ((w**(2/5)*w)**(-1/6))**25/((w**3)**(2/77))**49 assuming w is positive. w**(-637/66) Simplify ((r**(-1/2)*r/(r*r**(3/8)))/((r/r**(-1))/r**(1/2)))/((r*r**(2/7)/r)/r**(-5/3)*r*r**(-1)*r**(5/4)) assuming r is positive. r**(-937/168) Simplify ((((t/(t/(t/(t**1/t))))/t)/t)**8/(t**0/t**(-1/6)))/(t**(2/15)*t*(t**(2/9)*t*t)/t*(t/(t*t**(-1)))**34) assuming t is positive. t**(-4007/90) Simplify (n**(-7/3))**(2/11)*(n*n**(-39))/(n**29*n) assuming n is positive. n**(-2258/33) Simplify ((l**(-9))**(-46)/((l*l**(3/4)*l)/(l*l**(-36/11)*l)))**(-22) assuming l is positive. l**(-18039/2) Simplify ((u/(u*u*u**(1/3)*u*u)*u**(-7))/(u**7*u*u*u**(-4/7)*u))**2 assuming u is positive. u**(-830/21) Simplify ((((p**5*p)/p)/p)/(p/((p*p/(((p*p/(p/p**8*p)*p)/p)/p*p))/p)))**(3/26)/((p/(p/(p*p/p**(-1/5)*p)))/p**1*p**(-2/9)/p**(-2/5)) assuming p is positive. p**(-1661/585) Simplify ((l/(l*l**1))**49)**(-1/13)*(l**(1/6)/l**(2/11))/(l**(2/37)*l*l**(-4/5)) assuming l is positive. l**(555559/158730) Simplify (u**2)**50/((u/(u/(u/((u/(u**(3/5)/u)*u)/u*u))))/(u*u*u**(1/2)*u))*((u**1)**29)**(2/39) assuming u is positive. u**(41491/390) Simplify v/(v*v**(-2/3))*v*v**5*v*v*(v/(v/(v*v*v/v**(-1))*v)*v)**(1/11)*(((v*(v/(v**0/v))/v*v)/v)**(-28))**24 assuming v is positive. v**(-44054/33) Simplify ((n**(-38/5)*n**(-25)/n*n)**(2/123))**(-7) assuming n is positive. n**(2282/615) Simplify ((d/(d*d*d**(1/2))*d)**33)**(-40)/((d**5/(d*d*d**1/d*d))/(d*d**(-5)*d*d/d**4)) assuming d is positive. d**652 Simplify (a**(-1/3)*a)**(2/13)*(a**(-6)/a)/a**(-1)*((a**(-2/9)/a)/a*((a*a**7)/a)/a*a)/(a/a**(6/5)*a*((a*a**(-2/11))/a)/a) assuming a is positive. a**(-4748/6435) Simplify (x/x**(1/13)*x**(-13))**(-2/101)*(x*(x/((x*x**(-4/9))/x))/x*x*x**(3/4))/((x/(x/(x*x*x*x/(x/x**(3/2)))))/(x/x**2)) assuming x is positive. x**(-97675/47268) Simplify ((u**(2/9)*u)/(u*u**(3/8)*u)*u**(-4)/u**(1/9))**(-37) assuming u is positive. u**(14023/72) Simplify ((v/(v/v**(-2/9)))**(3/2)/(v**(-8)/(v/(v*(v/(v/(v**0/v*v)))/v*v))))/(((v*v/(v*v*v**9*v))/(v*v*v*v**6))/(v**(-1/7)*v/v**(-8))) assuming v is positive. v**(746/21) Simplify (((w*w/(w/w**(1/4)))**28/(((w**2*w)/w)/(w*w**(4/5)*w*w*w)))**(-1/14))**(11/2) assuming w is positive. w**(-297/20) Simplify (u**2)**(-1/5)*(u**(1/3)/u*u*u)**1*(u**(1/16)/(u**(-6)*u*u*u))/(u*u**(-5)*u**7) assuming u is positive. u**(239/240) Simplify ((s/(s/(s**2*s)))/(s/(s/(s*s*s**(1/6)/s))))**(-29)*((s**(1/2))**(2/35))**(8/5) assuming s is positive. s**(-55777/1050) Simplify ((y/y**(-2/7))/y)**(4/19)/((y**(6/11)/y)/((y**8/y)/y))*(y*(y**(-2/3)*y)/y*y)**(-9)/(((y**2/y)/y)/(y*y/(y**(-6)*y))) assuming y is positive. y**(2216/1463) Simplify (j**(-1)*j*j)/j**(-3)*j**(-1/10)*j*j**(5/6)*((j**(-1)/j)**23)**4 assuming j is positive. j**(-2674/15) Simplify ((((n/n**14)/n)/(n*n**(4/7)*n))/(n**(-1/4)/n)**41)**(-50) assuming n is positive. n**(-24275/14) Simplify (((k**(-1/2))**(-11)*(k**(-1))**(-6/7))**(-34))**35 assuming k is positive. k**(-7565) Simplify (((c*(c/c**(-4))/c)/c*((c**(-2/13)/c)/c*c)/c)/(c*c/(c/(c**(-2)/c)))**23)/((c*c*c*c**(1/3)*c*c*c)**5)**(-47) assuming c is positive. c**(59911/39) Simplify (o*o*o**(-3)*o*o*o**2)/((o/o**9)/(o*o**(3/8)))*((o/o**(1/4))/o)**(-32)/(o**(-2/5)/(o**8/o*o*o)) assuming o is positive. o**(1191/40) Simplify (h**(4/5)*h/h**(1/11))/(h**(-4)/h**(-3))*(h**(-2/3)*h**(-2/11)*h)/(h/h**0)**(-2/121) assuming h is positive. h**(5222/1815) Simplify (((q/((q**(-1/3)*q)/q))/q)**(-2/11))**(-2/65)/(((q*q*(q*q**(-2/5))/q)/q)**(2/49)/(q**(-1))**(-1/32)) assuming q is positive. q**(29009/3363360) Simplify ((a/a**(-2/13))/(a*a**(-7)))**(4/27)*(a**(-2/7))**8/((a*a/(a**4/a))/(((a/(a*(a/((a/(((a**3*a)/a)/a))/a))/a*a)*a*a*a)/a)/a)) assuming a is positive. a**(-1823/819) Simplify a**(-5/8)*a**46*(a**22)**(-2/107) assuming a is positive. a**(38489/856) Simplify (s**(1/9)*s/(s/((s*s/s**(-5))/s))*(s/(s*s**1))**(-36/7))/((s**(-2)*s/(s*s*(s/(s*s**6)*s*s)/s*s*s))/(s**(4/9)/(s*s**(-2/7)))) assuming s is positive. s**(692/63) Simplify (y**(2/7)*y)**(-17/3)/(y**(2/5))**2*y**(1/3)*y*y**(-2)*((y**(-5/2)/y)/y)/(y/y**3) assuming y is positive. y**(-2363/210) Simplify (a**(1/20)*a*a/(a/(a/a**(-10)))*(a*a**(-2)*a)**(-35/2))**31 assuming a is positive. a**(7471/20) Simplify (s**(7/5)/(s**(-2/5)/s))**(-2/29)*(s**(2/7))**(41/4)/((s/s**(-1/2))/s)**(-29) assuming s is positive. s**(17494/1015) Simplify j*j/j**(5/3)*j/j**(-5/3)*(j**(-2/3)*j)**(-3/10)*(j**1)**(-32)*j**(1/4)*j/j**(-1/4) assuming j is positive. j**(-138/5) Simplify ((k*k*k**(-5)*k)/(k*k**(-4/3)))/(k/((k*k/k**(-6))/k)*(k/(k/k**(2/5))*k)/k*k)*((k*k/(k/(k**1/k))*k)**35)**(-43) assuming k is positive. k**(-45106/15) Simplify ((c**0)**(-1/8))**(-27)/(c**6*c*c**(1/3)*c*c**(2/9)/(c/((c*c*c**(-2/5))/c))) assuming c is positive. c**(-367/45) Simplify (((k*k**10)/(k/(k*k**(-27)*k)))/((k/(k*k*k**(-19/2)))/k**(4/7)))**(-39) assuming k is positive. k**(12519/14) Simplify ((n**(-1/3)/n)**(-25)/((n*n**(5/6)/n)/n**(-9)))**(2/39) assuming n is positive. n**(47/39) Simplify (l**(-1)*l**(-1)*(l**(-1/2)/l)/(l*l**(-5)))/((l/l**(-1/2))/(l/(l/(l*l**(-2/3)*l*l)*l)*l))**(-1/22) assuming l is positive. l**(61/132) Simplify (s**(-7)/(s*(s/(s**(-4)*s*s*s))/s))/(s**(-2/9)/(s*s*s**(-3)*s))*(s/s**(1/8))/s**(-8)*s/(s**4/s)*s**(-4/9) assuming s is positive. s**(-169/72) Simplify ((i/i**3
{ "pile_set_name": "DM Mathematics" }
+ 2 = -2*l. Let t = 5 + l. Solve 0 = -5*v + t*v for v. 0 Let v(g) = -3*g - 6. Let j be v(-4). Solve -j*o = -3*o + 15 for o. -5 Let i be -2 + 0 - (3 + -1). Let d be i/(-2 + 4/3). Suppose 3 = 5*p - 7. Solve w = -p*w + d for w. 2 Let r be 4/(12/(-15)) + 2. Let f be ((-2)/3)/(2/(-3)). Let a = f - r. Solve 0 = -a*k + 2 + 2 for k. 1 Let u be 11/((-1)/(-1) + 0). Let t = u + -6. Solve t*h - 8 + 33 = 0 for h. -5 Suppose 1 = -2*z - 1. Let l be (z/3)/((-1)/15). Solve l*a + 3 = 8 for a. 1 Suppose -2*y - 1 + 5 = 0. Solve -y*j - 9 = -1 for j. -4 Suppose 0 = t, 2*r - 1 - 1 = 5*t. Solve -9 + r = 4*z for z. -2 Suppose -4*a = 0, 0*u + 4*a + 10 = 5*u. Solve 0 = -0*r - u*r - 2 for r. -1 Let r = 19 - 17. Solve 0 = -g - r*g + 3 for g. 1 Let z = 7 - 7. Suppose z = -3*h + 5 - 8. Let p = 2 - h. Solve 0 = -v + p*v for v. 0 Let i(a) = 7*a - 1. Let t be i(1). Suppose -t*h - 1 = -7*h. Suppose -5*k - 3 = -3*y + 2, 3*y = -4*k - 4. Solve -d + y = h for d. -1 Let d(n) = n**3 + 6*n**2 + 4*n + 3. Let j be d(-5). Suppose -19 = -16*t + 61. Solve 0 = -3*p + t*p - j for p. 4 Let i(f) = 8 + 4*f**2 + 7*f + 0*f**2 - 2*f - 3*f**2. Let s be i(-6). Solve 5*l + s - 34 = 0 for l. 4 Suppose -4*x + 186 = 26. Suppose x + 0 = 4*s. Solve s = 4*r - 2 for r. 3 Let b = -50 + 51. Suppose -2*w = -2*k + 6, -w - 17 = -3*k - 8. Solve -k*i + 2 = -b for i. 1 Let w(g) = -g**3 + 12*g**2 - 11*g + 2. Let i(v) = v**3 - 7*v**2 + 7*v + 5. Let d be i(6). Let m be w(d). Let t = -13 + 14. Solve t - 3 = m*r for r. -1 Let z(x) = -x - 6. Let k be z(-6). Solve -3*s + 6 + 0 = k for s. 2 Suppose -2*s = 2*s + 12, -5*g - 12 = 4*s. Solve g*t - 15 = 3*t for t. -5 Let r(m) = m + 4. Let x be r(-2). Let d(h) = -3*h - 4. Let z be d(-3). Suppose 2*f = 3*i - x + 9, 5*i = -z*f + 30. Solve 0*q = q + i for q. -1 Suppose 0 = -0*i + 2*i. Suppose i*w + 4 = 2*w. Solve w*h = 1 + 7 for h. 4 Suppose 8 - 28 = -5*c. Suppose c*s - h + 6*h = 0, -5*h = 0. Solve s = t + t + 2 for t. -1 Let f be 21/24 - (-3)/24. Solve -2 = -t - f for t. 1 Suppose q - 3*r - 6 = 0, 12 = -0*q + 2*q - 3*r. Let d = 2 + -4. Let v be d/2*-1 - -1. Solve -q = -v*m - m for m. 2 Let y be 0/((-3)/(12/8)). Solve y*n + 15 = -5*n for n. -3 Let s = -10 - -16. Let j(b) = -b + 10. Let u be j(0). Let x = u - s. Solve r + 12 = x*r for r. 4 Suppose 0*c = 5*c. Solve c = 4*o - 4 - 0 for o. 1 Let j(u) = -u. Let m be j(-2). Suppose -11 + 51 = m*h. Solve 0 = -0*f - 4*f + h for f. 5 Let s be 2/(-6) - 280/(-12). Let d = s + -20. Solve 0*b + 3 = d*b for b. 1 Let k be 10*(-10)/(-25) - -2. Solve -2*g + k*g - 8 = 0 for g. 2 Suppose -11*s + 13*s = 10. Solve 2 = -s*u + 7 for u. 1 Let f = -72 + 72. Solve -3*g + f*g + 3 = 0 for g. 1 Let v be 9 - (25/(-5) + 10). Let d = 2 + -2. Solve v*j + d*j = 20 for j. 5 Suppose 2*d = 7 - 5. Let w be -1 + (1 - (-1 - d)). Solve -w*j - 2*j + 20 = 0 for j. 5 Let w(m) = -m**3 + m + 4. Suppose 5*n + 15 = -3*z, 5*n + 2*z - 7*z = 25. Let f be w(n). Solve -f*u + 0 = 20 for u. -5 Suppose -3*c + 5*g = 29, g = c + 4*c + 19. Let n = -9 - c. Let h be (-12)/(-7) + n/(-21). Solve -h*b - 2 = -8 for b. 3 Let v(g) = g**2 - 2*g + 1. Let x be v(3). Let o(f) = 3*f + 3. Let k(d) = -7*d - 6. Let z(n) = 2*k(n) + 5*o(n). Let y be z(x). Solve 2*a - y*a = 0 for a. 0 Let u = -44 + 48. Solve -34 = -u*g - 14 for g. 5 Suppose 3*c + 2*j = 7*c - 10, -2*c = 2*j - 8. Let v(f) = -f**2 - 2*f + 1. Let r be v(-3). Let l be (6/(-15))/(r/20). Solve l*y + 3 = c*y for y. -3 Suppose -4*u - 9 - 9 = -5*q, -2*u = -q + 6. Let p(h) = -h**3 + 8*h**2 + 2*h - 11. Let f be p(8). Solve 8 = -f*w - q for w. -2 Let g(j) = j**3 + 5*j**2 + 1. Suppose -5*a = -0*y - y + 10, 0 = -2*y - 4*a - 22. Let o be g(y). Solve -11 - o = -4*u for u. 3 Suppose 0*b - 3*b + 48 = 0. Solve -5*x = -x - b for x. 4 Let x(o) = 6*o - 38. Let n be x(7). Solve n*d = 5*d + 5 for d. -5 Let d = -1 + 3. Suppose l + l = 4*p - 6, 0 = -5*p + 15. Suppose 5*c = 2*c + 4*k + 56, 2*c - 39 = l*k. Solve -2*j = d*j + c for j. -3 Suppose -2 = g - 2*g. Let x(s) = 0*s**2 + 5*s - g*s**2 + 3*s**2 + 2. Let z be x(-5). Solve -7 - 1 = -z*d for d. 4 Let s = 9 + -4. Let f be (3 - (2 - 0))*s. Suppose -3 + 23 = f*h. Solve 1 = -3*u + h for u. 1 Let m = -5 + 6. Solve -2*h = -3*h - m for h. -1 Suppose -6*u + 10 = 5*h - 2*u, 4*h - 3*u = 8. Solve -2*c = h*c for c. 0 Suppose 4*q = -2*f - 8, 5*q - 3 + 10 = -4*f. Solve f*z - 3*z = -4 for z. 4 Let s be (1 - 0)/((-4)/(-16)). Suppose 0 = -0*o + s*o. Suppose 3*x - 18 = -3*h, o = 4*h + 2*x + 5 - 21. Solve -3 = h*t + t for t. -1 Let p = -1 + 7. Suppose 3*d + 1 = d + j, 2*d + 19 = -5*j. Let i be (d/(-4))/(1/6). Solve i*b = -0*b - p for b. -2 Suppose 0 = 3*l + y - 11, 2*y + 15 = -l - 3*y. Solve -2*k = -l*k + 3 for k. 1 Let j(c) = c**3 + 10*c**2 + 10*c + 13. Let s be j(-9). Suppose -5*p - 8 = -s*g, 2*p = -0*p. Suppose 7*o = g*o + 15. Solve -3*z + 6 = -o for z. 3 Suppose -u - 4*u - 10 = 0. Let y(d) = 1 + 1 - 4 - 2*d. Let c be y(u). Solve -12 = 5*i - c for i. -2 Suppose 2*k + 2*t + 2*t - 18 = 0, 4*k = 4*t. Let n(h) = -2*h - 4. Let v be n(-4). Solve k*i + v = -i for i. -1 Let z = -84 - -104. Solve -4*o + z = -9*o for o. -4 Suppose 10 = 6*p - p, 2*y + 3*p - 6 = 0. Solve m + y - 3 = 0 for m. 3 Let p(f) = -f + 7. Let y(s) = 2*s - 15. Let q(o) = 13*p(o) + 6*y(o). Let x be q(1). Suppose 3*g + 4*h - 12 = 0, -5*g - 2*h = h - 9. Solve -5*d + x*d = g for d. 0 Suppose 3*r - 36 = -24. Solve 0 = 4*y - 4 - r for y. 2 Let h(q) = -7*q + 9. Let f(d) = 6*d - 8. Let y(b) = -6*f(b) - 5*h(b). Let a be y(0). Suppose 2*o - n + a*n - 6 = 0, -5*o + 15 = -2*n. Solve -4*m + 11 = o for m. 2 Let u = -20 + 22. Solve u*s + s + 9 = 0 for s. -3 Let o be (-4)/(-6)*9/6. Let c be o/(-4) + 5/4. Let s = -1 + c. Solve -3*w + 2 - 5 = s for w. -1 Suppose 3*u + 2 + 1 = 0. Let m = u + 1. Solve -t = 3 - m for t. -3 Let l(s) = 5*s + 1. Let x be l(-1). Let f(d) = -4 - d + 3*d - 7*d + 3*d. Let y be f(x). Solve -y*c - c = -20 for c. 4 Suppose -24 = -13*z + 2. Solve 0 = -4*g + 2*g - z for g. -1 Suppose 2*w - 4 = -5*k, 2*w - 3*w = k + 1. Suppose 24 = 5*c - c. Let a = -4 + c. Solve a*r = -0 - k for r. -1 Suppose -z - 2*z + 10 = s, 16 = 2*s + 5*z. Let q = -1 - 3. Let c = s - q. Solve c*b = -0 - 4 for b. -2 Let s(c) = -c**3 + c**2 + c + 2. Let r(p) = -p**2 - 6*p + 7. Let l be r(-7). Let b be s(l). Solve -j - b*j = -15 for j. 5 Let m = 15 - 37. Let f = m - -37. Solve -2*v - f = -5*v for v. 5 Suppose -3*a + 2*a + 8 = 3*f, 16 = 4*f - 4*a. Solve 0 = 6*w + 21 - f for w. -3 Suppose -l - 3*l + 12 = 0. Suppose -l*q - 15 = 3*t, -2*t - 3*q = -8 + 23. Suppose -2*p + 24 = -a + 5*a, a - p = t. Solve -a*x = -4 - 0 for x. 1 Suppose 4 = -0*v - 2*v - 2*d, 3*v + 2*d = -1. Solve -2 = -k + v for k. 5 Let y = 31 + -27. Suppose 2*h + 5*j + 15 = 0, -2*h + h - 2*j = 5. Suppose 0*c + 35 = h*c. Solve -z - c = -y for z. -3 Let f(y) = -y**2 - 5*y + 1. Let j be f(-4). Solve -j*u = -u + 20 for u. -5 Let i be 40/60*(-3)/(-1). Solve -5*s = -i*s for s. 0 Let o = -42 + 42. Solve 2*r + r = o for r. 0 Let k(c) = -c + 1. Let v(s) = 5*s - 8. Let y(x) = -4*k(x) - v(x). Let i be y(2). Let f = 5 + -5. Solve -i*l + f = -2 for l. 1 Let o = 0 + 1. Let t(m) = 13*m - 1. Let i be t(o). Suppose -4*w + i = -f - 0*f, 2*w = -4*f + 24. Solve f*s - 3*s = 0 for s. 0 Suppose -4*j + 4 = y + 45, -3*j - 29 = -y. Let g = 20 + j. Solve 0 = -4*u - g + 22 for u. 3 Let s be 12 + (3 + -3)/(-2). Suppose 3*t + 3*x - 9 = 0, 0*t + s = -2*t + 4*x. Solve -m - 1 - 4 = t for m. -5 Suppose -13 + 1 = -4*l. Suppose -5*y + 5*t - 15 = 0, 0 = 4*y - t - 0*t + 3. Solve l*v + 2*v + 5 = y for v. -1 Let o be (0*(-2)/4)/(-2). Solve o = -c - 2*c for c. 0 Let r(d) = -1 + 2*d + 2*d + 0*d**2 - 3*d + 2*d**2. Let k be r(1). Solve -k*l - 10 = -2 for l. -4 Suppose 5*k = 2*s + 12, -1 = 5*s + 4. Solve t - k - 2 = 0 for t. 4 Suppose -5*x + 10 = 3*l, -5 - 18 = -2*x - 5*l. Let j = 1 - x. Solve j = -3*b - 4 for b. -2 Let h be (-15)/(-1) + 1 + -1. Let q(i) = 4*i**2 + 29*i - 19. Let r be q(-8). Solve -2*d = h - r for d. -5 Let u(s) = s**2 + 8*s + 9. Let g be u(-7). Suppose -g*c - 2*c + 12 = 0. Solve 1 = -c*x - 11 for x. -4 Suppose -i = -3*w - 2, 2*w + 2*w = 2*i - 2. Let n = w + 3. Solve n*m + 10 = -0*m for m. -5 Suppose 10*y - 19 - 31 = 0. Solve -y = 3*u + 7 for u. -4 Suppose 2*a - 16 = -6*a. Solve 4*x + 10 = a*x for x. -5 Suppose 0 = -5*z + o + 54, -4*z = z + 5*o - 30. Suppose 4*m = 2*q
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
hours. 0.0000000016021395 What is three eighths of a gram in milligrams? 375 How many millilitres are there in fourty-four fifths of a litre? 8800 How many kilograms are there in 3/8 of a tonne? 375 How many minutes are there in twenty-three sixths of a day? 5520 Convert 578355.2 tonnes to nanograms. 578355200000000000000 What is three tenths of a litre in millilitres? 300 Convert 9827.873ml to litres. 9.827873 What is thirty-one fifths of a hour in minutes? 372 Convert 2185.952 days to milliseconds. 188866252800 Convert 0.2278835 nanograms to micrograms. 0.0002278835 What is 95.11627 kilograms in micrograms? 95116270000 How many years are there in nine tenths of a millennium? 900 Convert 70268.6l to millilitres. 70268600 Convert 128789.8 millilitres to litres. 128.7898 How many minutes are there in seven thirds of a week? 23520 How many decades are there in 575853.2 millennia? 57585320 What is 72771.57ng in tonnes? 0.00000000007277157 How many litres are there in 1.31142ml? 0.00131142 Convert 9420.163 decades to years. 94201.63 What is 833.314 millennia in years? 833314 How many minutes are there in thirty-one fifths of a week? 62496 What is 643.3906um in kilometers? 0.0000006433906 How many microseconds are there in 0.1717921ns? 0.0001717921 How many millilitres are there in 5/8 of a litre? 625 How many millimeters are there in 43/4 of a meter? 10750 How many seconds are there in 3/25 of a day? 10368 What is 4.467718kg in tonnes? 0.004467718 How many millennia are there in 2708125.8 months? 225.67715 Convert 9658.81 grams to milligrams. 9658810 How many milligrams are there in 15/4 of a gram? 3750 Convert 71.665 hours to milliseconds. 257994000 How many years are there in 131713.6 millennia? 131713600 What is thirteen fifths of a litre in millilitres? 2600 What is 27519.06 centuries in decades? 275190.6 What is 549043.3s in microseconds? 549043300000 How many kilograms are there in nine tenths of a tonne? 900 Convert 0.0471486 centuries to decades. 0.471486 Convert 112488.3 nanoseconds to hours. 0.00000003124675 How many milliseconds are there in 0.0711649 hours? 256193.64 What is seven quarters of a centimeter in micrometers? 17500 What is 79.34241kg in micrograms? 79342410000 How many grams are there in 0.170756 micrograms? 0.000000170756 How many microseconds are there in 59909.54 weeks? 36233289792000000 How many decades are there in thirty-seven fifths of a century? 74 How many millilitres are there in 1/20 of a litre? 50 What is five quarters of a year in months? 15 What is 99520.37 kilograms in micrograms? 99520370000000 What is 43/3 of a hour in minutes? 860 How many minutes are there in 4658.721 days? 6708558.24 What is fifteen quarters of a millennium in years? 3750 What is 1/30 of a century in months? 40 How many millilitres are there in 55.43007 litres? 55430.07 What is 72.50437 tonnes in nanograms? 72504370000000000 What is 3/50 of a micrometer in nanometers? 60 What is nineteen quarters of a litre in millilitres? 4750 How many years are there in 10.818492 months? 0.901541 How many nanograms are there in 60.75661mg? 60756610 How many centimeters are there in 0.4896473 millimeters? 0.04896473 What is 4/3 of a millennium in months? 16000 Convert 2830.103l to millilitres. 2830103 How many months are there in fourty-eight fifths of a century? 11520 What is 43558.89mg in kilograms? 0.04355889 How many tonnes are there in 73.75074 milligrams? 0.00000007375074 What is 2.216265 months in decades? 0.018468875 What is 23/3 of a hour in seconds? 27600 How many nanometers are there in 15.49353um? 15493.53 Convert 3.669901 kilometers to nanometers. 3669901000000 What is 0.7353301ng in tonnes? 0.0000000000000007353301 How many minutes are there in ten sevenths of a week? 14400 What is 5/24 of a hour in seconds? 750 How many litres are there in 70.30235 millilitres? 0.07030235 What is 184.8564ng in tonnes? 0.0000000000001848564 What is 40.85322ml in litres? 0.04085322 What is 427304.3 decades in millennia? 4273.043 How many millilitres are there in 33/5 of a litre? 6600 How many centimeters are there in 0.936933m? 93.6933 Convert 0.737292cm to kilometers. 0.00000737292 How many nanoseconds are there in 29/5 of a microsecond? 5800 How many micrograms are there in 1/4 of a milligram? 250 What is 3/10 of a milligram in micrograms? 300 What is six fifths of a meter in millimeters? 1200 How many kilograms are there in 25/8 of a tonne? 3125 How many micrometers are there in 7/25 of a millimeter? 280 How many seconds are there in three tenths of a day? 25920 Convert 73754.18 centuries to years. 7375418 How many nanoseconds are there in three fifths of a microsecond? 600 How many minutes are there in 59.58774s? 0.993129 What is 8709.735us in seconds? 0.008709735 What is 1/5 of a century in years? 20 What is 1/6 of a hour in minutes? 10 What is 6.288792 litres in millilitres? 6288.792 What is fourty-nine quarters of a tonne in kilograms? 12250 How many nanograms are there in seven halves of a microgram? 3500 What is twenty-nine halves of a millennium in decades? 1450 How many minutes are there in 7/2 of a week? 35280 What is 3/32 of a kilogram in milligrams? 93750 What is one fifth of a hour in minutes? 12 How many minutes are there in fifty-one quarters of a hour? 765 How many years are there in twenty-one halves of a decade? 105 Convert 49.24793 hours to seconds. 177292.548 How many hours are there in 25/4 of a day? 150 What is 815.2913 grams in tonnes? 0.0008152913 How many micrograms are there in 1/16 of a gram? 62500 How many kilograms are there in 47/4 of a tonne? 11750 What is eighteen fifths of a kilometer in meters? 3600 How many millilitres are there in 53542.94 litres? 53542940 How many centimeters are there in fifty-one quarters of a meter? 1275 Convert 0.7591235m to millimeters. 759.1235 How many micrograms are there in three fifths of a milligram? 600 What is five quarters of a millennium in years? 1250 How many millilitres are there in 6/5 of a litre? 1200 What is eighty-seven halves of a millennium in centuries? 435 What is 8628.916 litres in millilitres? 8628916 What is 143.5897kg in nanograms? 143589700000000 How many years are there in 30.47144 millennia? 30471.44 What is ten thirds of a hour in minutes? 200 What is 68.1338kg in milligrams? 68133800 What is 23718.85 millennia in centuries? 237188.5 What is seven halves of a century in years? 350 What is 7651.464 centuries in years? 765146.4 How many months are there in 392.86 years? 4714.32 Convert 21.39632 seconds to nanoseconds. 21396320000 What is 6/5 of a kilometer in meters? 1200 How many millilitres are there in five quarters of a litre? 1250 Convert 83691.53 weeks to days. 585840.71 What is 15/4 of a milligram in micrograms? 3750 What is 220590.27 months in decades? 1838.25225 How many days are there in two sevenths of a week? 2 How many milligrams are there in 3/5 of a gram? 600 How many nanoseconds are there in 0.426397us? 426.397 How many months are there in fourty-seven quarters of a year? 141 What is 8.502065 millimeters in micrometers? 8502.065 What is 3/8 of a litre in millilitres? 375 How many micrometers are there in 5/4 of a centimeter? 12500 How many years are there in fourty-five quarters of a century? 1125 What is 87/4 of a millennium in years? 21750 What is thirty-seven fifths of a centimeter in millimeters? 74 How many years are there in eleven halves of a millennium? 5500 What is three eighths of a week in hours? 63 What is 3/5 of a kilogram in grams? 600 What is 0.3301987 micrograms in kilograms? 0.0000000003301987 What is 1/24 of a day in hours? 1 How many months are there in nineteen quarters of a century? 5700 How many kilograms are there in 2.66674 grams? 0.00266674 How many months are there in 34/5 of a millennium? 81600 How many decades are there in 1/10 of a century? 1 What is 5864.627 micrograms in milligrams? 5.864627 How many years are there in 1/5 of a decade? 2 What is 2.093148 centuries in millennia? 0.2093148 Convert 896367.4 litres to millilitres. 896367400 How many hours are there in 239.8253 days? 5755.8072 What is eighteen fifths of a microgram in nanograms? 3600 How many years are there in 32/5 of a millennium? 6400 What is 1/4 of a li
{ "pile_set_name": "DM Mathematics" }
thout replacement from {k: 3}. 1 Calculate prob of sequence kkgd when four letters picked without replacement from gdgdkdkggggggddddg. 7/4080 Two letters picked without replacement from pppppp. Give prob of sequence pp. 1 Three letters picked without replacement from {i: 4, b: 1, s: 3}. Give prob of sequence sss. 1/56 Calculate prob of sequence ormo when four letters picked without replacement from ormmor. 1/45 Calculate prob of sequence kvee when four letters picked without replacement from ikvkvekevkkk. 1/330 What is prob of sequence jj when two letters picked without replacement from {m: 9, j: 10}? 5/19 Calculate prob of sequence oo when two letters picked without replacement from {n: 1, o: 7}. 3/4 Two letters picked without replacement from {c: 3, p: 3, j: 6, t: 2, g: 1}. What is prob of sequence gj? 1/35 Four letters picked without replacement from bbfhrmmyrfrhbbyfhbm. Give prob of sequence mbfb. 5/2584 Calculate prob of sequence nunf when four letters picked without replacement from qnnunfqnqnfqn. 1/286 Three letters picked without replacement from mbnn. What is prob of sequence mnn? 1/12 Three letters picked without replacement from {c: 7, x: 4}. What is prob of sequence ccc? 7/33 What is prob of sequence yev when three letters picked without replacement from veivfveeiiyyyiiveiye? 2/171 Three letters picked without replacement from wwwxmwwmxwwwwxxx. Give prob of sequence xmw. 3/112 Calculate prob of sequence jdn when three letters picked without replacement from {d: 2, o: 2, n: 8, j: 2}. 4/273 Two letters picked without replacement from azagz. What is prob of sequence zz? 1/10 Calculate prob of sequence zk when two letters picked without replacement from zvxvzvvklzzvzlkz. 1/20 Calculate prob of sequence ia when two letters picked without replacement from {a: 2, n: 1, i: 1, s: 2, p: 2}. 1/28 Calculate prob of sequence atat when four letters picked without replacement from atta. 1/6 Calculate prob of sequence bv when two letters picked without replacement from {l: 1, x: 2, v: 2, b: 1, i: 1}. 1/21 Three letters picked without replacement from {f: 1, i: 1, d: 3, c: 2, z: 4, y: 4}. What is prob of sequence dzi? 2/455 What is prob of sequence cooc when four letters picked without replacement from noorrorcrvncrtc? 1/910 Two letters picked without replacement from nknatav. Give prob of sequence aa. 1/21 What is prob of sequence esj when three letters picked without replacement from {b: 2, s: 2, j: 3, e: 2}? 1/42 Four letters picked without replacement from {l: 6, z: 1, q: 1, i: 9}. Give prob of sequence zliq. 9/9520 Two letters picked without replacement from yyyggwywzzgwgygjg. What is prob of sequence zw? 3/136 What is prob of sequence vv when two letters picked without replacement from fffurvuvnnfrr? 1/78 Two letters picked without replacement from {x: 11, l: 1}. What is prob of sequence lx? 1/12 Three letters picked without replacement from {d: 3, r: 2, y: 6, h: 2, t: 2, c: 2}. What is prob of sequence yry? 1/68 Four letters picked without replacement from eeeeeeeee. What is prob of sequence eeee? 1 Calculate prob of sequence qd when two letters picked without replacement from dddqdqqdqqdqd. 7/26 Calculate prob of sequence uu when two letters picked without replacement from {m: 3, u: 9}. 6/11 Four letters picked without replacement from rnrnrzrzrnrzrrzz. Give prob of sequence rrzz. 1/39 Calculate prob of sequence pppp when four letters picked without replacement from {p: 6, e: 2, n: 4}. 1/33 Four letters picked without replacement from rlllrlllrlr. What is prob of sequence llrl? 7/66 Calculate prob of sequence gx when two letters picked without replacement from {g: 5, x: 2, n: 4}. 1/11 Calculate prob of sequence oaj when three letters picked without replacement from ovjaoooaaojoaj. 3/91 What is prob of sequence fhyy when four letters picked without replacement from {h: 3, f: 10, y: 4, z: 1}? 1/204 Calculate prob of sequence jpjp when four letters picked without replacement from jjjpjjpjjpj. 7/165 What is prob of sequence knkk when four letters picked without replacement from {n: 4, k: 14}? 91/765 Two letters picked without replacement from {g: 5, x: 1, o: 1, v: 2, k: 5, m: 1}. Give prob of sequence kk. 2/21 Two letters picked without replacement from bbzbbbzz. Give prob of sequence bz. 15/56 Four letters picked without replacement from {k: 15, q: 3}. What is prob of sequence kqqq? 1/816 What is prob of sequence zz when two letters picked without replacement from zzqzqzqqqzqz? 5/22 Two letters picked without replacement from hxhxxhuhhhxhhh. Give prob of sequence xu. 2/91 Two letters picked without replacement from {v: 2, j: 1, e: 2}. What is prob of sequence je? 1/10 Calculate prob of sequence vt when two letters picked without replacement from dtvvj. 1/10 Calculate prob of sequence oyo when three letters picked without replacement from oqyooyo. 4/35 Two letters picked without replacement from {g: 2, u: 8, y: 7, s: 2}. Give prob of sequence gg. 1/171 Four letters picked without replacement from {a: 4, p: 7, q: 5, j: 2, z: 2}. What is prob of sequence ajpz? 14/14535 Four letters picked without replacement from jhpyfjz. What is prob of sequence pzjy? 1/420 Calculate prob of sequence jdp when three letters picked without replacement from pdpjj. 1/15 Three letters picked without replacement from rhirhhivv. Give prob of sequence vvh. 1/84 What is prob of sequence yy when two letters picked without replacement from qqqzqyazywyw? 1/22 Two letters picked without replacement from eueeueueeee. Give prob of sequence uu. 3/55 What is prob of sequence vvc when three letters picked without replacement from {c: 3, v: 4}? 6/35 Two letters picked without replacement from {v: 1, f: 2, e: 1, q: 1, k: 1, h: 1}. What is prob of sequence hk? 1/42 What is prob of sequence xoov when four letters picked without replacement from {x: 4, v: 5, o: 5}? 50/3003 Three letters picked without replacement from {m: 2, k: 1}. What is prob of sequence mmk? 1/3 Two letters picked without replacement from kkvovovo. Give prob of sequence oo. 3/28 Calculate prob of sequence zl when two letters picked without replacement from {l: 3, t: 5, z: 3, b: 6}. 9/272 Two letters picked without replacement from {y: 1, x: 3}. What is prob of sequence yx? 1/4 Three letters picked without replacement from {q: 1, n: 13, m: 5, r: 1}. What is prob of sequence mrm? 1/342 Three letters picked without replacement from {b: 2, z: 4}. Give prob of sequence zzb. 1/5 What is prob of sequence wwo when three letters picked without replacement from wywoddyo? 1/84 Calculate prob of sequence men when three letters picked without replacement from smsen. 1/60 Two letters picked without replacement from {u: 5, h: 7}. Give prob of sequence hh. 7/22 Three letters picked without replacement from {n: 1, v: 2, c: 2, l: 1, h: 1}. What is prob of sequence nnc? 0 Two letters picked without replacement from hwwmw. What is prob of sequence wm? 3/20 Three letters picked without replacement from pppwlwrwuuuluuuwwruu. Give prob of sequence uww. 4/171 Three letters picked without replacement from {y: 2, v: 2, n: 1}. Give prob of sequence vvn. 1/30 Three letters picked without replacement from {i: 2, v: 3}. What is prob of sequence ivv? 1/5 Two letters picked without replacement from {o: 2, i: 6}. Give prob of sequence io. 3/14 What is prob of sequence ox when two letters picked without replacement from {r: 1, v: 6, x: 3, n: 2, o: 2}? 3/91 Calculate prob of sequence ggl when three letters picked without replacement from ggggglgglggggggggggg. 17/190 Calculate prob of sequence ouoo when four letters picked without replacement from ouoououuououo. 21/286 Two letters picked without replacement from {a: 1, s: 2}. What is prob of sequence sa? 1/3 Three letters picked without replacement from {t: 1, y: 3, z: 1, o: 4, v: 1, c: 2}. Give prob of sequence zyo. 1/110 Two letters picked without replacement from oozpogkpopguugpkoog. What is prob of sequence ug? 4/171 Calculate prob of sequence cafa when four letters picked without replacement from {c: 5, f: 7, a: 4}. 1/104 Four letters picked without replacement from cccowuocccuwsoouo. Give prob of sequence uouo. 1/476 What is prob of sequence bjd when three letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
at is the remainder when 268863 is divided by 17924? 3 Calculate the remainder when 186670 is divided by 18667. 0 Calculate the remainder when 12515 is divided by 12449. 66 What is the remainder when 4987 is divided by 249? 7 Calculate the remainder when 46244 is divided by 670. 14 What is the remainder when 28043 is divided by 14013? 17 Calculate the remainder when 988 is divided by 110. 108 What is the remainder when 9325 is divided by 212? 209 Calculate the remainder when 1760 is divided by 673. 414 What is the remainder when 442647 is divided by 78? 75 What is the remainder when 1031079 is divided by 26? 23 What is the remainder when 69473 is divided by 281? 66 What is the remainder when 1562 is divided by 36? 14 What is the remainder when 81992 is divided by 90? 2 What is the remainder when 2440 is divided by 7? 4 Calculate the remainder when 10516 is divided by 811. 784 Calculate the remainder when 6113 is divided by 139. 136 What is the remainder when 1801 is divided by 16? 9 Calculate the remainder when 12630 is divided by 3131. 106 Calculate the remainder when 577145 is divided by 115427. 10 Calculate the remainder when 4121 is divided by 661. 155 What is the remainder when 310 is divided by 75? 10 What is the remainder when 49148 is divided by 68? 52 What is the remainder when 40197 is divided by 5024? 5 Calculate the remainder when 1534 is divided by 167. 31 Calculate the remainder when 1089551 is divided by 19. 15 Calculate the remainder when 643 is divided by 187. 82 Calculate the remainder when 115190 is divided by 263. 259 What is the remainder when 4303 is divided by 140? 103 What is the remainder when 1909 is divided by 230? 69 What is the remainder when 5335 is divided by 796? 559 Calculate the remainder when 951 is divided by 10. 1 Calculate the remainder when 6323 is divided by 631. 13 What is the remainder when 1001 is divided by 227? 93 Calculate the remainder when 14226 is divided by 339. 327 What is the remainder when 254753 is divided by 84913? 14 What is the remainder when 199936 is divided by 518? 506 Calculate the remainder when 5235 is divided by 750. 735 What is the remainder when 935 is divided by 441? 53 Calculate the remainder when 4914 is divided by 15. 9 What is the remainder when 90206 is divided by 645? 551 What is the remainder when 404711 is divided by 657? 656 What is the remainder when 1174 is divided by 999? 175 Calculate the remainder when 3111 is divided by 1242. 627 What is the remainder when 4412 is divided by 1393? 233 What is the remainder when 19398 is divided by 99? 93 Calculate the remainder when 26116 is divided by 9. 7 What is the remainder when 597073 is divided by 57? 55 What is the remainder when 2349 is divided by 28? 25 Calculate the remainder when 677715 is divided by 23. 20 Calculate the remainder when 461 is divided by 276. 185 Calculate the remainder when 2531 is divided by 26. 9 Calculate the remainder when 900247 is divided by 163. 161 What is the remainder when 3597 is divided by 1253? 1091 Calculate the remainder when 3119 is divided by 14. 11 What is the remainder when 325863 is divided by 325846? 17 What is the remainder when 44421 is divided by 133? 132 What is the remainder when 60892 is divided by 15208? 60 What is the remainder when 2635 is divided by 1247? 141 Calculate the remainder when 5855 is divided by 29. 26 Calculate the remainder when 382296 is divided by 53. 7 Calculate the remainder when 82201 is divided by 6. 1 What is the remainder when 17129 is divided by 2420? 189 Calculate the remainder when 42 is divided by 22. 20 What is the remainder when 143 is divided by 9? 8 What is the remainder when 11050 is divided by 736? 10 What is the remainder when 1256 is divided by 494? 268 Calculate the remainder when 79610 is divided by 15920. 10 Calculate the remainder when 5615 is divided by 5603. 12 Calculate the remainder when 1230 is divided by 881. 349 Calculate the remainder when 155809 is divided by 9737. 17 What is the remainder when 686877 is divided by 360? 357 Calculate the remainder when 117719 is divided by 626. 31 What is the remainder when 4740 is divided by 389? 72 Calculate the remainder when 2449 is divided by 53. 11 Calculate the remainder when 59242 is divided by 205. 202 Calculate the remainder when 2730 is divided by 396. 354 Calculate the remainder when 16804 is divided by 255. 229 What is the remainder when 36079 is divided by 60? 19 Calculate the remainder when 8866 is divided by 174. 166 Calculate the remainder when 1938 is divided by 387. 3 Calculate the remainder when 38305 is divided by 2128. 1 What is the remainder when 13936 is divided by 13880? 56 Calculate the remainder when 2826 is divided by 201. 12 What is the remainder when 573231 is divided by 573221? 10 What is the remainder when 1219 is divided by 766? 453 What is the remainder when 63054 is divided by 2425? 4 What is the remainder when 54528 is divided by 18174? 6 What is the remainder when 139044 is divided by 740? 664 What is the remainder when 167413 is divided by 83706? 1 Calculate the remainder when 958435 is divided by 28. 23 Calculate the remainder when 1203 is divided by 18. 15 What is the remainder when 2112096 is divided by 29? 26 What is the remainder when 1877 is divided by 926? 25 Calculate the remainder when 166313 is divided by 41577. 5 Calculate the remainder when 877 is divided by 266. 79 Calculate the remainder when 27345 is divided by 13605. 135 Calculate the remainder when 3069 is divided by 57. 48 What is the remainder when 36106 is divided by 16? 10 Calculate the remainder when 1564157 is divided by 69. 65 What is the remainder when 3797 is divided by 9? 8 What is the remainder when 186694 is divided by 38? 0 What is the remainder when 9577 is divided by 4786? 5 Calculate the remainder when 11791 is divided by 5857. 77 What is the remainder when 4952 is divided by 24? 8 Calculate the remainder when 437441 is divided by 218720. 1 Calculate the remainder when 12859 is divided by 143. 132 What is the remainder when 557 is divided by 20? 17 What is the remainder when 18005 is divided by 148? 97 Calculate the remainder when 328406 is divided by 72. 14 Calculate the remainder when 21649 is divided by 54. 49 Calculate the remainder when 52344 is divided by 29. 28 Calculate the remainder when 12927 is divided by 6463. 1 Calculate the remainder when 18178 is divided by 158. 8 What is the remainder when 49289 is divided by 498? 485 What is the remainder when 5122 is divided by 1671? 109 Calculate the remainder when 240254 is divided by 2204. 18 What is the remainder when 506160 is divided by 360? 0 What is the remainder when 7240 is divided by 13? 12 What is the remainder when 82047 is divided by 73? 68 Calculate the remainder when 534808 is divided by 133699. 12 Calculate the remainder when 250488 is divided by 370. 368 Calculate the remainder when 11936 is divided by 12. 8 Calculate the remainder when 568 is divided by 106. 38 What is the remainder when 53505 is divided by 139? 129 Calculate the remainder when 10659 is divided by 84. 75 What is the remainder when 31795 is divided by 997? 888 What is the remainder when 162432 is divided by 85? 82 Calculate the remainder when 6217 is divided by 22. 13 What is the remainder when 64564 is divided by 3? 1 Calculate the remainder when 1921 is divided by 100. 21 Calculate the remainder when 6282 is divided by 789. 759 What is the remainder when 28483 is divided by 185? 178 Calculate the remainder when 42238 is divided by 32. 30 Calculate the remainder when 80428 is divided by 383. 381 Calculate the remainder when 625 is divided by 107. 90 What is the remainder when 18946 is divided by 541? 11 What is the remainder when 840115 is divided by 249? 238 Calculate the remainder when 1741 is divided by 522. 175 Calculate the remainder when 579671 is divided by 463. 458 Calculate the remainder when 17286 is divided by 467. 7 Calculate the remainder when 3413337 is divided by 15. 12 What is the remainder when 3949 is divided by 233? 221 Calculate the remainder when 14073 is divided by 46. 43 What is the remainder when 6142 is divided by 16? 14 Calculate the remainder when 92264 is divided by 5. 4 Calculate the remainder when 8912
{ "pile_set_name": "DM Mathematics" }
*2 + 840*k**2 What is the second derivative of d**2*m**4 + 95892*d**2*m**3 + 42898*d**2*m - 2*d**2 wrt m? 12*d**2*m**2 + 575352*d**2*m Find the third derivative of 28480*o**3 - 4*o**2 - 1978*o wrt o. 170880 Find the second derivative of -h**3 + 50316*h**2 + 15*h + 17214 wrt h. -6*h + 100632 What is the third derivative of -4242*i**3*j**3 - 11*i**3*z + i**2*j*z + 1846*j**3 wrt i? -25452*j**3 - 66*z Find the second derivative of -14*q**4 - 9*q**3 - 9*q**2 - 64409*q wrt q. -168*q**2 - 54*q - 18 Find the second derivative of 50192*n**3 + 85752*n. 301152*n Differentiate -3791230*g + 540942 wrt g. -3791230 Find the third derivative of 2*a*f*k**3 + 16*a*f*k + 137*a*f - 4*a*k**3 + 4*a + 7171*f*k**3 + 8*k**3 - 4*k**2 + 3*k wrt k. 12*a*f - 24*a + 43026*f + 48 What is the first derivative of -2*y**3 + 107*y**2 + 264*y + 65619? -6*y**2 + 214*y + 264 Find the third derivative of 26568*o**4 + 2*o**3 - 5*o**2 + 36501 wrt o. 637632*o + 12 Find the first derivative of 223021*u - 243331 wrt u. 223021 Differentiate 407337*m**2*o**4 + 6*m**2*o**2 - 2*m**2 - 3321034*m wrt o. 1629348*m**2*o**3 + 12*m**2*o What is the second derivative of 4*o**4 + 5003*o**2 + 1410055*o wrt o? 48*o**2 + 10006 Find the second derivative of 8*d*f**2*g*v - 24*d*f**2*g - d*f*g*v**2 + 36*d*f*g*v - 14*f**2*g*v**2 + 50*g*v**2 - g wrt f. 16*d*g*v - 48*d*g - 28*g*v**2 What is the derivative of -3*k*w**3 - 204*k*w**2 - 394*k - 3*w**3 - 2*w**2 - 588*w - 92 wrt k? -3*w**3 - 204*w**2 - 394 Find the first derivative of f*m*o - 152239*f*p**2 - 148*m*o*p**2 + 65*m*p + 2*o*p**2 + 2*p wrt f. m*o - 152239*p**2 Find the second derivative of -k**3*x**2 - 2949*k**3*x + 4*k**2*x**3 - 1977*k*x**3 - 8*k*x**2 - 2*x**3 wrt k. -6*k*x**2 - 17694*k*x + 8*x**3 What is the second derivative of 269*h**2*v**2 + 1573*h**2 - h*v**2 + 10*h - 203*v**2 - 8*v wrt h? 538*v**2 + 3146 Find the third derivative of j**2*w**3 - 299*j**2*w**2 - 9*j**2*w + 19593*w**6 - 12*w wrt w. 6*j**2 + 2351160*w**3 What is the first derivative of -904241*n - 891460? -904241 Find the first derivative of 4347*k**4 - 11*k*q + 48076*q - 1 wrt k. 17388*k**3 - 11*q Find the third derivative of 2316641*b**3 + 2426534*b**2. 13899846 What is the first derivative of 68741*b*v**2 + 171*v**2 - v + 84 wrt b? 68741*v**2 Differentiate 2*h*v**2 - 81587*h*v - 436097*h - 2*v**3 - 2*v with respect to v. 4*h*v - 81587*h - 6*v**2 - 2 Find the second derivative of -k**2*l**2*x + 26832*k**2*l*x - 45*k*l*x - 2*k*x + 2*l**2*x + 499*l*x wrt k. -2*l**2*x + 53664*l*x Find the second derivative of 404*b**2*q - 16*b**2 - 10552*b*q + b - 1 wrt b. 808*q - 32 Differentiate -5051247*f**3 - 664815 with respect to f. -15153741*f**2 Find the second derivative of -137168*j**3 + 104189*j wrt j. -823008*j Differentiate 4213*v**2 - 3*v + 11536. 8426*v - 3 Find the second derivative of -101*f**5 - 4*f**3 - 2*f**2 + 14234*f + 2. -2020*f**3 - 24*f - 4 Find the second derivative of -80763*l*r**2 - 296514*l*r + 2*l wrt r. -161526*l What is the third derivative of -3225*y**5 + 6*y**4 - 4*y**3 - 296873*y**2 wrt y? -193500*y**2 + 144*y - 24 Differentiate -217297*c**2*i**2 + 53667*i**2 - 2 wrt c. -434594*c*i**2 Find the third derivative of 235477*j**3 - 163713*j**2. 1412862 What is the third derivative of 102507*y**4 - 16*y**2 + 101*y - 11? 2460168*y Find the second derivative of -225680*r**2 - 249004*r. -451360 What is the third derivative of -2079*b**6*r - 760*b**4*r**3 + 67*b**2*r**3 + 28*b**2*r**2 + b + 2*r**2 - 154*r wrt b? -249480*b**3*r - 18240*b*r**3 What is the first derivative of -2*l**2*m + 748877*l**2 - 3*l*m + 165*m wrt m? -2*l**2 - 3*l + 165 Find the third derivative of 214488*w**3 + 123588*w**2 wrt w. 1286928 Differentiate 104479*t*x**2 - 3*t*x*y - 239*x**2 + 852*x*y wrt t. 104479*x**2 - 3*x*y What is the first derivative of 2*f**2*u + 1128*f**2 + 11*f - 17053*u - 1 wrt f? 4*f*u + 2256*f + 11 Find the second derivative of -5003*d**2*k**3 + 32193*d**2*k + 3*d*k**3 wrt k. -30018*d**2*k + 18*d*k Find the first derivative of 118*c*o**3 - 1436659*c - 4280*o**3 wrt o. 354*c*o**2 - 12840*o**2 Differentiate 35*f*n**2 + 149*f*n*x + f*n + 3*f - 2*n**2*x + n*x + n + 105*x - 342 with respect to x. 149*f*n - 2*n**2 + n + 105 What is the third derivative of 171662*c**4 + 4*c**2 + c + 1656 wrt c? 4119888*c What is the first derivative of 94543*x**3 + 69424? 283629*x**2 What is the derivative of 14*o**4 - 2315*o**2*r**2 + 146015*r**2 wrt o? 56*o**3 - 4630*o*r**2 What is the third derivative of -3266705*c**2*f**3 - 2*c**2*f + 19*c*f**2 + 27349*f**2 wrt f? -19600230*c**2 What is the derivative of n*x - 889713*n - 198940*x**2 wrt x? n - 397880*x Differentiate -5746*f**2*v - 40693*f**2 + 4*f*v wrt v. -5746*f**2 + 4*f What is the third derivative of f**2*k**3 + 53146*f**2*k + 58*f*k**3 + 2*f*k**2 - 567*k**3 wrt k? 6*f**2 + 348*f - 3402 What is the third derivative of -m**3*q**3 + m**3*q**2 + 13125*m**3*q + 2*m**2*q**3 + 1519*m**2*q**2 - m**2 + 5*q**2 wrt m? -6*q**3 + 6*q**2 + 78750*q What is the third derivative of 15034*x**6 + 8*x**4 - 58298*x**2? 1804080*x**3 + 192*x What is the second derivative of 2342*a**3*t**2 - 16*a**3 + a**2*t**2 - 22*a*t**2 - 215*a*t wrt a? 14052*a*t**2 - 96*a + 2*t**2 What is the third derivative of -5290*n**3*q**3 - 8430*n**3*q + 2*n**2*q**2 - n*q**2 - n - 175*q**3 - 4*q wrt q? -31740*n**3 - 1050 What is the second derivative of -27621*c**2*f*p + 24*c*f*p - 9*c + f*p - p wrt c? -55242*f*p What is the third derivative of 74815*d**3 - 3048*d**2 + 6 wrt d? 448890 What is the third derivative of 26*a**4*d**2 + 840*a**3 + 576*a**2*d**2 - 59*a*d**2 wrt a? 624*a*d**2 + 5040 Find the second derivative of -23545*i**5 - i**4 - 4*i**2 - 1129500*i. -470900*i**3 - 12*i**2 - 8 Differentiate -1675190*k**3*t + 51*k**3 + 5143*k wrt t. -1675190*k**3 What is the first derivative of 63181*r**2 + 55199? 126362*r Find the first derivative of 5*o*s - 67966*o - 3829*s**2 wrt s. 5*o - 7658*s What is the first derivative of -928964*i - 917949? -928964 Find the second derivative of 140*g**3*x - 15*g**2*x + 5*g**2 + 20471*g*x - 2*x wrt g. 840*g*x - 30*x + 10 What is the third derivative of 4460*g**2*y**3 + 80*g**2*y**2 - 47*g**2*y + 3*g*y**3 + 4*g*y**2 + 37*y**3 + 4 wrt y? 26760*g**2 + 18*g + 222 Find the second derivative of -1363293*u**2*w**3 + 4050681*u**2*w wrt w. -8179758*u**2*w What is the derivative of 7*t**3 - 124*t**2 - 8*t + 21458? 21*t**2 - 248*t - 8 Differentiate 104*m**4 - m**3 + 2*m**2 - 110*m + 155451 wrt m. 416*m**3 - 3*m**2 + 4*m - 110 Find the second derivative of 140*b*q**2*x + 38*b*q**2 - 3*b*q*x - b*q - q**2*x - 7*q**2 - 13591*q + 4*x wrt q. 280*b*x + 76*b - 2*x - 14 What is the second derivative of -2*k**3*m + 2344*k**3*p + k*m*p - k*p - m*p + 2228*p wrt k? -12*k*m + 14064*k*p What is the third derivative of 410835*z**3 + 1806144*z**2 wrt z? 2465010 What is the second derivative of -18081*b**3 - b**2 + 3566*b + 25? -108486*b - 2 What is the third derivative of 132*b**5 + 1692*b**3 - 177*b**2 - 1000*b? 7920*b**2 + 10152 Differentiate 2*k**2*w**2 - 47*k**2*w - k*w**2 + 165*k + 443749*w**2 with respect to k. 4*k*w**2 - 94*k*w - w**2 + 165 Find the first derivative of -9193*b**3 + b**2 + 12*b - 831532. -27579*b**2 + 2*b + 12 Find the second derivative of 552162*n**2 + 122373*n. 1104324 What is the third derivative of -465141*n**4 + 2*n**2 - 22160*n? -11163384*n Find the second derivative of -5364*v**2*y**4 + 11*v**2*y**2 - 174*v**2 - 6301*v*y wrt y. -64368*v**2*y**2 + 22*v**2 What is the second derivative of 393*b*r**2*v - 6*b*r*v + b*r + 227*r**2 - 33*r*v - 2*r + 1 wrt r? 786*b*v + 454 Differentiate g**2 + 11474*g - 1507 with respect to g. 2*g + 11474 What is the second derivative of 40045*k**4 + 4942319*k? 480540*k**2 What is the third derivative of 9*u**3*v**4 - 8*u**3*v**2 + 2*u**3 + 91*u**2*v**3 + 2*u**2*v**2 - v**4 + 6343*v wrt v? 216*u**3*v + 546*u**2 - 24*v What is the second derivative of -471878*b**3*w**2 - b**3*w - b**2*w**5 + 27366*b**2 wrt w? -943756*b**3 - 20*b**2*w**3 Find the second derivative of 325447*p**5 + 128437*p - 2. 6508940*p**3 What is the second derivative of -3471405*d**3*p**2 + 103441*d**3*p wrt p? -6942810*d**3 What is the second derivative of -2406083*f**2 - 2717859*f? -4812166 Differentiate -3*h**3*k + h**3 - 17170*h**2*k**2 - 248*h**2 + 8 with
{ "pile_set_name": "DM Mathematics" }
be s(15). Suppose 6*r + 1314 = n. Round r to the nearest ten. -140 Let k = 1262064709 + -1262051054.955845. Let p = k - 13654. Let t = p + -0.044. Round t to five dps. 0.00016 Let f = 447.586 - 448. Let q = -0.41399668 - f. Round q to 6 dps. 0.000003 Suppose 2*v + 4501 = -5*z, 11*v - 10*v + 2288 = 5*z. Let h be -3 - (-1 + 3)/(2/v). Round h to the nearest 100. 2300 Let w = 25.0567 - 0.1667. Let y = w + -24.8898629. What is y rounded to 5 decimal places? 0.00014 Let a = -0.8106 + 1.01012. Round a to 2 decimal places. 0.2 Let g = 570950 + -352528. Suppose -4*t + 113780 = -4*o, -76192 = -5*o + 4*t - g. What is o rounded to the nearest one thousand? -28000 Let u = 108606 - 108605.9065245. Let i = u + 33.9062145. Let n = -34 + i. Round n to four dps. -0.0003 Let p = -323 - -483.8. Let l = p - 246.824. Let z = l - -86. Round z to 2 decimal places. -0.02 Let v = 8.81918 + -0.10818. What is v rounded to 0 decimal places? 9 Suppose 298*j + 213027500 = 6*j + 57*j. What is j rounded to the nearest 100000? -900000 Let m = -66.755 - -8.785. Let k = m + 6.37. Round k to the nearest ten. -50 Let t = -10905.00018511 + 10905. Round t to 5 decimal places. -0.00019 Suppose -2*w - 60937 = -w. Let b(j) = -16597*j + 564. Let n be b(-9). Let y = n + w. Round y to the nearest ten thousand. 90000 Suppose b - 4*n - 47067 + 9323 = 0, -3*b + 3*n = -113250. Suppose 637900 + b = -j. Let h = -349652 - j. What is h rounded to the nearest 10000? 330000 Let q = 8458 - 8458.0009374. What is q rounded to 4 decimal places? -0.0009 Let q = 1793.7 - 14156.7. Let s = -12298.39 - q. Let o = s - 66. Round o to 1 decimal place. -1.4 Let t = 2.4141 - 2.414103556. What is t rounded to five dps? 0 Let c = 0.73 + -0.729970425. Round c to 6 decimal places. 0.00003 Let g = 16794 - 16793.9999994389. Round g to six decimal places. 0.000001 Let z = 6.346 + -6.313944. What is z rounded to four decimal places? 0.0321 Let a = 129341.47 - 130067. What is a rounded to the nearest one hundred? -700 Let z = -91996 - -91995.49099. Round z to 1 dp. -0.5 Let l be 18060/1*4446000/(-1092). What is l rounded to the nearest 1000000? -74000000 Let o = 4.68992835 + 0.60202625. Let d = o + 5.708046. Let u = d + -11. What is u rounded to six dps? 0.000001 Let i = -0.214217850752 - 107.085782596248. Let l = i - -107.3. What is l rounded to 7 dps? -0.0000004 Let j = -119.42845 - 0.26155. Let c = -938.6 + 824. Let b = c - j. Round b to 1 decimal place. 5.1 Suppose 3*n = -r + 387 - 41, -350 = -r - n. Suppose 3*h - r = 173. Let b be (h/(-3))/(8/3936). Round b to the nearest one thousand. -29000 Let r = -702 + 768.8. Let u = -54.95 + r. What is u rounded to the nearest integer? 12 Let n = 2158.124 + -2153. Let r = 5.1237859 - n. What is r rounded to five dps? -0.00021 Suppose 61*z + 51 = 62*z + 5*j, -2*z - 4*j = -108. Let t = z + -3896. Round t to the nearest 100. -3800 Let a = -137226.89 + 138012. Round a to the nearest ten. 790 Let y be (-3555)/(-158)*75736/(-3). What is y rounded to the nearest 10000? -570000 Let r = -8002.265089 - -8002.2. What is r rounded to two decimal places? -0.07 Let l = -35863 + 35863.050259. Round l to three decimal places. 0.05 Let u = -729 - -702. Let j be (u/(-81))/(2/(-43038)). What is j rounded to the nearest one thousand? -7000 Let m = 127966 + -248146. Round m to the nearest ten thousand. -120000 Let j = -0.042 - -0.003. Let k = j - 4.961. Let b = k + 5.003. What is b rounded to two dps? 0 Let z = 273.0509723007 + -0.0509716757. Let h = 273 - z. What is h rounded to 7 dps? -0.0000006 Let n = -46677.6662 - 414416593.3338. Let o = -414463146.99999968 - n. Let l = o + -124. What is l rounded to 7 dps? 0.0000003 Suppose -2*p = 4*h + 15547256, -5*h + 5*p + 1955134 - 21389204 = 0. Let a = -7896814 - h. Round a to the nearest 1000000. -4000000 Let m = -12.3 - -292.3. Let v = -278.24 + m. Round v to 1 decimal place. 1.8 Let w = -5.4 + 5.2. Let u = w - -0.24. Let h = u - 0.04094. What is h rounded to four decimal places? -0.0009 Suppose -57210365 = -10*a + 5*a - 2*r, 3*r = -2*a + 22884146. Let v = a - 5922073. What is v rounded to the nearest one million? 6000000 Let q = -309 + 435. Let w = q + 209. Let p = 331.79 - w. Round p to 1 decimal place. -3.2 Let n(q) = 5075*q**2 + 31577*q**3 + 7 + 1 - 5064*q**2 + 40144*q**3 + 10*q. Let c be n(-4). Round c to the nearest one million. -5000000 Let p = 186791.9986 + -186739. Let c = p - 53. What is c rounded to three dps? -0.001 Let s = -294.4 - -200. Let c = 94.400001386 + s. Round c to 7 dps. 0.0000014 Let r = 517964194 + -517964198.20000018. Let o = 3986.8 + -3991. Let f = o - r. Round f to seven dps. 0.0000002 Let q = 475.8 - -327. Round q to the nearest 100. 800 Let p = -17.9 - -19.07. Let x = 1.17 - p. Let i = -0.00055 - x. What is i rounded to 4 dps? -0.0006 Let i = 13721 + -13718.9715. Round i to one dp. 2 Let c = 16298 - 15793.2. Round c to the nearest ten. 500 Let q = -227 + 227.123. Let v = 0.613 - q. Let h = 1.05 - v. What is h rounded to one dp? 0.6 Let u = -10111 + 10111.0029644. What is u rounded to five decimal places? 0.00296 Let z = 326.9533 + -327. Let h = z - -0.046698985. What is h rounded to 7 decimal places? -0.000001 Let t = 8454.4 + -8454.39956569. What is t rounded to six dps? 0.000434 Let o be (-2 + 44/8)*20/7. Suppose -o*z + 3206686 = 12686. Round z to the nearest one hundred thousand. 300000 Suppose -3155 = -5*t - 0*k - k, 3*t = -2*k + 1900. Let p be t/(-4)*(6 + (-210)/25). Round p to the nearest ten. 380 Let m = -3891 + 2110. Let z = m - -1780.9999183. What is z rounded to five decimal places? -0.00008 Let w = 58136.821 + -58166. Round w to the nearest integer. -29 Let y be -2 - -45*(12/(-20) + 1). Let r be 0 - y/(4/(-1)). Suppose -r*t - w = 7413 + 66584, -3*t - 55512 = -4*w. Round t to the nearest one thousand. -19000 Let a be (-1714150)/((19/(-1))/114). Round a to the nearest 100000. 10300000 Let q = -52603 + 52572.739. What is q rounded to 0 dps? -30 Let b be 400/(-6)*18*66094/(-336). Round b to the nearest ten thousand. 240000 Let c = -5178.95198 + 5179. Round c to two decimal places. 0.05 Suppose 2*v = 3*j + 89, 6*j - j + 55 = v. Let s(f) = -12*f**3 + 45*f**2 - 48*f - 80. Let m be s(v). What is m rounded to the nearest 10000? -700000 Let x = 0.0375 - 0.187. Round x to 1 dp. -0.1 Let x = 8650 - 8492.32. Let d = 163 - x. Round d to 0 decimal places. 5 Let a = -267.045 - -4.045. Let o = 659715454.9999356 - 659715192. Let z = o + a. What is z rounded to 5 decimal places? -0.00006 Let p = 1883.16 + -1920. Let a = 38.603 + p. What is a rounded to zero dps? 2 Let r = -5536 + -7087. Round r to the nearest one hundred. -12600 Suppose 0 = -10*r + 14*r - 68. Let n(m) = -298*m**3 + m**2 + 2298*m**3 - 5*m + 15 - 3*m**2 - r. Let j be n(-2). Round j to the nearest 10000. -20000 Let x = -33 + 125. Let a = 92.0275 - x. What is a rounded to three dps? 0.028 Let o = 66.87 - 66.8699996387. Round o to seven dps. 0.0000004 Let k = 13406215.99926 + -13406330. Let w = k - -114. Round w to 4 dps. -0.0007 Let z = -18.1 + 22.01. What is z rounded to the nearest 10? 0 Let o = -71.2887973 + 71.29. What is o rounded to 4 dps? 0.0012 Let t = -317 - -390.7. Let w = t - 153.9. What is w rounded to the nearest 10? -80 Let c = 1294286 - 211196. Round c to the nearest one hundred thousand. 1100000 Let u = 36354.902 - 36427. Let y = 0.098 + u. Let d = -72.00000117 - y. Round d to 7 dps. -0.0000012 Let z = 3676 + -3696.352. Round z to the nearest integer. -20 Let d = -11.4 + 12.01. Let r = 1328 - 1327.331. Let b = d - r. What is b rounded to two dps? -0.06 Let p(j) be the first derivative of j**2 - 64*j + 18. Let k be p(34). Suppose 8 = -k*x, -2*x - 1182 = 5*y + 2822. Round y to the nearest one hundred. -800 Let r = 308.5898 + -308.3. Round r to 3 decimal places. 0.29 Let d = 426 - 503. Let w = -77.6 - d. Round w to 1 dp. -0.6 Let r be 155/7 - (-27)/(-189). Suppose r*b - 41065 = -4655. What is b rounded to the nearest one hundred? 1700 Let u = -377.184 + 427.15. Let i = -50 + u. Let l = i + 0.033696. What is l rounded to five dps? -0.0003 Let g = -511 + 514. Suppose s = -0*s. Let z be -415*(4 + s - g). Round z to the nearest 10. -420 Let a = -4965570321471.67200067 + 4965569938295.7. Let k = a + 383176. Let i = -0.028 + k. What is i rounded to seven
{ "pile_set_name": "DM Mathematics" }
and 1 u? 4/91 Calculate prob of picking 1 s and 1 l when two letters picked without replacement from {w: 2, m: 1, y: 2, s: 1, l: 2}. 1/14 Three letters picked without replacement from yzymzmmmmmm. Give prob of picking 2 y and 1 z. 2/165 What is prob of picking 2 y when two letters picked without replacement from yllylyllyyyyyynly? 45/136 Two letters picked without replacement from anjzawwwaaw. Give prob of picking 1 w and 1 n. 4/55 What is prob of picking 3 r and 1 i when four letters picked without replacement from liflfhrirrfrjii? 16/1365 Four letters picked without replacement from pmrrmpmppm. Give prob of picking 3 m and 1 p. 8/105 Four letters picked without replacement from znnnbnbzn. Give prob of picking 1 n, 2 z, and 1 b. 5/63 What is prob of picking 1 v, 1 l, and 1 p when three letters picked without replacement from vvvlvlvqtqtpsvt? 12/455 Three letters picked without replacement from {g: 7, s: 2}. Give prob of picking 1 g and 2 s. 1/12 What is prob of picking 1 p and 2 r when three letters picked without replacement from ppprpppprpr? 8/55 Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {f: 1, x: 2, h: 5, o: 5, l: 4, b: 3}. 5/38 What is prob of picking 2 z when two letters picked without replacement from zzezzzzez? 7/12 Calculate prob of picking 1 i and 3 h when four letters picked without replacement from {h: 7, i: 1}. 1/2 What is prob of picking 1 u, 2 q, and 1 a when four letters picked without replacement from auqaqaaqaqaqqauau? 18/119 What is prob of picking 1 e and 1 o when two letters picked without replacement from ooooooeooooeeo? 33/91 Four letters picked without replacement from {w: 3, f: 4}. What is prob of picking 3 f and 1 w? 12/35 Two letters picked without replacement from {r: 6, i: 2, a: 9, k: 1}. What is prob of picking 2 r? 5/51 Four letters picked without replacement from khkkniokokiiwwikwwiw. Give prob of picking 1 o, 2 k, and 1 h. 2/323 What is prob of picking 1 v and 1 t when two letters picked without replacement from ttvtttvtttttt? 11/39 Four letters picked without replacement from txgwrtr. What is prob of picking 2 r, 1 g, and 1 t? 2/35 Three letters picked without replacement from eceffu. Give prob of picking 1 u and 2 f. 1/20 Calculate prob of picking 2 h and 1 c when three letters picked without replacement from {n: 4, q: 1, h: 5, c: 6}. 3/28 Two letters picked without replacement from duundk. Give prob of picking 1 u and 1 n. 2/15 Calculate prob of picking 1 h, 2 e, and 1 f when four letters picked without replacement from vefeheh. 6/35 Two letters picked without replacement from {w: 5, a: 7}. Give prob of picking 2 w. 5/33 Two letters picked without replacement from kmrkirikkrkreerrrkt. What is prob of picking 1 r and 1 k? 14/57 Two letters picked without replacement from {q: 3, l: 2, k: 4, v: 2, f: 4, j: 3}. Give prob of picking 1 v and 1 k. 8/153 Three letters picked without replacement from {l: 4, m: 3, k: 1}. Give prob of picking 1 k and 2 l. 3/28 Three letters picked without replacement from pyytpyy. What is prob of picking 1 t and 2 p? 1/35 What is prob of picking 2 z when two letters picked without replacement from ffffffsssffssssszz? 1/153 Calculate prob of picking 4 d when four letters picked without replacement from sddsrrrssddsdr. 5/1001 Four letters picked without replacement from dtbdbaabbdatttbdb. What is prob of picking 2 a and 2 d? 9/1190 Three letters picked without replacement from mvmvhlvvmmvmhvhmm. Give prob of picking 1 l, 1 m, and 1 v. 21/340 Two letters picked without replacement from chhgchhcghghghgh. Give prob of picking 1 g and 1 h. 1/3 Two letters picked without replacement from lllpjjjjlpp. Give prob of picking 1 l and 1 p. 12/55 Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, k: 4, a: 3}. 4/165 Two letters picked without replacement from {k: 5, c: 2}. What is prob of picking 2 c? 1/21 What is prob of picking 1 e and 2 h when three letters picked without replacement from {h: 4, e: 3}? 18/35 Calculate prob of picking 2 b when two letters picked without replacement from {s: 8, x: 2, b: 9}. 4/19 What is prob of picking 1 q, 1 o, and 2 a when four letters picked without replacement from zqazakkorak? 1/110 What is prob of picking 2 s when two letters picked without replacement from {s: 3, i: 1}? 1/2 Four letters picked without replacement from ooobobbo. What is prob of picking 1 b and 3 o? 3/7 Three letters picked without replacement from {m: 1, d: 2, u: 1, z: 2, c: 1}. What is prob of picking 1 u and 2 d? 1/35 Three letters picked without replacement from tdvtvatftttvtvtvat. What is prob of picking 2 a and 1 v? 5/816 Calculate prob of picking 1 i, 1 f, and 2 a when four letters picked without replacement from ziamfzzmmiiziiiza. 3/1190 Three letters picked without replacement from {v: 3, o: 4}. Give prob of picking 2 v and 1 o. 12/35 Two letters picked without replacement from llllvvvl. What is prob of picking 2 v? 3/28 What is prob of picking 2 b when two letters picked without replacement from lllbbll? 1/21 Calculate prob of picking 1 f, 2 a, and 1 z when four letters picked without replacement from {s: 2, f: 5, r: 2, z: 1, a: 2, u: 1}. 1/143 Four letters picked without replacement from {h: 1, x: 2, t: 10, l: 4, k: 1}. Give prob of picking 3 l and 1 x. 2/765 Two letters picked without replacement from {i: 12, l: 7, b: 1}. Give prob of picking 1 l and 1 i. 42/95 Two letters picked without replacement from {o: 2, x: 1, m: 1, q: 2, k: 1, w: 1}. Give prob of picking 1 w and 1 o. 1/14 What is prob of picking 2 f and 1 h when three letters picked without replacement from hfhfhdh? 4/35 Three letters picked without replacement from ixxix. Give prob of picking 1 x and 2 i. 3/10 Three letters picked without replacement from {x: 5, b: 8}. What is prob of picking 3 x? 5/143 What is prob of picking 1 e and 2 s when three letters picked without replacement from {e: 5, s: 7, d: 1, n: 1}? 15/52 What is prob of picking 3 a when three letters picked without replacement from ahyaxddhdyyhayayhxyd? 1/285 Calculate prob of picking 1 m, 1 a, and 2 n when four letters picked without replacement from {n: 2, a: 1, b: 3, m: 1}. 1/35 Three letters picked without replacement from umuuuuummummu. Give prob of picking 3 m. 5/143 What is prob of picking 1 s and 1 i when two letters picked without replacement from sffci? 1/10 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {q: 1, d: 3, t: 1, z: 1, m: 1}. 1/21 Calculate prob of picking 1 u, 1 e, and 1 a when three letters picked without replacement from awuueawauuwaa. 10/143 Two letters picked without replacement from qkookqqqqqq. Give prob of picking 1 q and 1 o. 14/55 What is prob of picking 2 b when two letters picked without replacement from jbjjjbjjj? 1/36 Two letters picked without replacement from {h: 1, v: 3, q: 3, n: 2, k: 2, j: 1}. Give prob of picking 1 h and 1 q. 1/22 Two letters picked without replacement from hhfhhgghgfgjh. Give prob of picking 1 h and 1 f. 2/13 Calculate prob of picking 2 k when two letters picked without replacement from dddddkxdddkddkd. 1/35 Calculate prob of picking 2 k and 1 z when three letters picked without replacement from zqqzkzqzzkkzz. 21/286 Three letters picked without replacement from ooobooooooboob. What is prob of picking 1 b and 2 o? 165/364 Two letters picked without replacement from knkkkkkknkkkknnnkn. What is prob of picking 2 n? 5/51 Two letters picked without replacement from egeleegg. Give prob of picking 1 l and 1 g. 3/28 What is prob of picking 2 v when two letters picked without replacement from vvvvv? 1 Calculate prob of picking 2 t and 2 e when four letters picked without replacement from etseeteeee. 1/10 What is prob of picking 2 r and 1 y when three letters picked without replacement from {y: 2, r: 2}? 1/2 Three letters picked without replacement from xlxdlsdxxdxex. What is prob of picking 1 l and 2 d? 3/143 Two letters picked without replacement from roycbync. Give prob of picking 1 b and 1 y. 1/14 Two letters picked without replacement from {g: 1, w: 2, i: 1, a: 7, l: 6}. Give prob of picking 2 a. 21/136 What is prob of picking 1 j, 2 d, and 1 h when four letters picked without rep
{ "pile_set_name": "DM Mathematics" }
z*s**3 + n + w*s + k*s**2 and give z. -3 Rearrange 2*f**3 + f**4 - 1 - 4*f**3 - 5*f**2 + 6*f**2 to the form r + g*f**3 + n*f**2 + i*f + p*f**4 and give r. -1 Express (3*s**2 + 4*s**2 + 0*s**2)*(-3*s + 3*s + 10*s**2)*(1 + 1 - 5) as f*s**2 + q*s + z + b*s**4 + h*s**3 and give b. -210 Rearrange (-34*j + 251*j + 10*j)*(-2*j + 3*j - 3*j) + 2*j**2 - 5*j**2 + 5*j**2 to the form u + q*j + w*j**2 and give w. -452 Rearrange (0 - 1 - 1)*(4 + 3 - 27)*(v**3 - 3*v**3 + 0*v**4 - v**4) to s*v + i + u*v**4 + h*v**2 + k*v**3 and give u. -40 Rearrange 2*q**2 - 10*q**3 + 1 + 12*q**3 + q**4 + 1 - 2*q to the form y*q + a*q**3 + o*q**4 + l + n*q**2 and give o. 1 Rearrange -1227 + 1227 + 2*o**2 + 2*o**4 + 2*o - 2*o**3 to the form w*o + i*o**2 + r + p*o**4 + b*o**3 and give i. 2 Rearrange 2*m**4 + 4*m**3 - 3*m**2 + m - 13 - 4*m**4 + m + 10 to o*m + n + k*m**4 + b*m**2 + x*m**3 and give n. -3 Rearrange (s**2 - 2*s**2 + 0*s**2)*(-4*s**2 - 12*s + 3*s**2 + 3*s) to the form o*s**4 + l*s**2 + h + w*s + y*s**3 and give o. 1 Express (6*m + 7*m + 5*m)*(-m**3 - 2*m**2 + 2*m**2) in the form k + f*m**2 + l*m**4 + w*m**3 + b*m and give l. -18 Rearrange -15*i**3 + 19*i**3 - 2*i - i + i**2 to the form s*i**2 + g*i + h + v*i**3 and give g. -3 Express -1 + 3*h + 1 - h + 2 - 2 - 3*h + 4*h + h + (-1 + 4 - 4)*(h + h - 3*h) + h + 0 + 0 - 3*h - 2*h - 5*h + h + 4*h - 3*h as q + i*h and give q. 0 Rearrange 5*w**2 + 3*w**2 - 9*w**2 to p*w + j + d*w**2 and give d. -1 Rearrange -18*r + 8*r + 9*r + 27 to i + c*r and give i. 27 Express -4*k**3 + 2 + 7*k**3 - 2*k**3 - 2*k**2 as y*k**3 + o*k**2 + p*k + g and give o. -2 Rearrange -26*b**3 + 11*b**3 + 3 - 5 to l*b**3 + o + p*b + n*b**2 and give n. 0 Express (-5*x + 2*x + 2*x)*(2 - 2 + 2*x**2) + (-x - 5*x + 4*x)*(-5*x**2 + 6*x**2 + x**2) as q*x**2 + p*x + r*x**3 + k and give p. 0 Express 9 + 5*p**2 - 9 as l + x*p + k*p**2 and give k. 5 Express -5*u**3 + 2*u**2 + 7*u**3 + u**3 + u**4 - u**3 as b*u**3 + z + j*u**2 + h*u**4 + r*u and give b. 2 Rearrange (175 - 210 - 2*k + 0*k)*(0*k + k - 3*k) to the form x*k + r*k**2 + u and give x. 70 Rearrange -27*o - 24 - 33 + 57 to the form b*o + n and give b. -27 Express 23*s**2 + s**3 - 52*s**2 - 1 + 26*s**2 in the form a*s**3 + r + z*s + c*s**2 and give r. -1 Express -y + 16 - 16 + y**3 as i*y**3 + a + f*y + b*y**2 and give b. 0 Express (-2*j - j + 0*j)*(-18*j + 29*j - 19*j + (2*j + 1 - 1)*(3 + 2 - 6)) as k*j**2 + y + d*j and give y. 0 Express ((-1 - 1 + 1)*(-1 - 1 + 3) - 341 + 78 + 29)*(-6*h + 2*h + 3*h) as k + j*h and give j. 235 Express 2*m - m - 3*m + 2*m - 3 + 3 + (8 + 10 + 2)*(0 - m + 0) as c*m + l and give c. -20 Express 2*a**2 + 9*a - 2*a**4 - 4*a**2 + 5*a**4 - 5*a**4 as i*a**2 + b*a**3 + o*a**4 + t*a + p and give i. -2 Express ((4 + 5 - 3)*(-2*l + l + 2*l) + 1 - 1 - l)*(l + 0*l + 6*l) in the form v + s*l**2 + f*l and give s. 35 Express 13*m**3 + 2 - 5*m**3 - 6 in the form u + l*m**3 + z*m + t*m**2 and give u. -4 Rearrange -3*w - 62 + 62 + (2 + 0 + 0)*(3*w - 4*w + 3*w) to the form l + p*w and give p. 1 Rearrange (-11 - 5 + 3)*(-1 + 3 - x - 1)*(0*x - x - 6*x) to the form u + j*x**2 + n*x and give n. 91 Express 3*p**4 - p**3 - 3*p + 6*p - p in the form w*p**3 + m + a*p**2 + b*p**4 + q*p and give w. -1 Rearrange (2 + 1 - 4)*(-1 + 3 - 1)*(-3*b - 14*b + 2*b) to o + k*b and give k. 15 Rearrange 70*r**3 + 0*r - 2*r**2 - 2*r**4 - 65*r**3 + r to the form m*r**2 + w*r**3 + a*r + t*r**4 + u and give w. 5 Rearrange -2*m + m + 2*m + 1 - 1 - m - 2*m + 0*m + 3*m + (m + 5*m - 5*m)*(4 - 3 + 0) + 6*m - m - 3*m + 0*m - m - m to the form u*m + k and give u. 2 Rearrange (-2*p + 0*p + 3*p + (-5 + 6 + 1)*(0 + 0 + 2*p) - p - 3*p + 6*p)*(6 - 11 - 3) to t*p + h and give t. -56 Express (-86*u + 1050 - 1050)*(-u + 0*u + 3*u) as h*u**2 + k*u + l and give h. -172 Rearrange -4*h**3 + 36 - 20 + 73 + 5*h**3 to k + q*h + d*h**3 + z*h**2 and give d. 1 Rearrange (1 + 2 - 2)*(-3 + k + 3) + (4 - 4 - 2)*(3 + 2*k - 3) - 3*k - 15*k - 2*k to the form r + p*k and give p. -23 Rearrange (0 - 3 + 1)*(3 + i**2 + 5 + i**2) to w*i + y*i**2 + j and give j. -16 Rearrange -3*j - 3 + 3 + (-1 + 1 - 2)*(-2*j + 3 - 3) - 3 + 2*j + 3 + j - 4*j + j + 4*j - 4*j + 2*j to x + o*j and give o. 3 Express -4*f**4 - 2*f**2 - 6*f**3 + f**3 - 3*f**3 + 9*f**3 + f as a + w*f + g*f**2 + s*f**4 + k*f**3 and give k. 1 Rearrange -17*n + 21*n + 18*n + 24*n to r + j*n and give j. 46 Rearrange -3*s**3 + 2*s**2 - 4*s**3 + 6*s**3 to d*s**3 + n*s**2 + q + h*s and give d. -1 Express -3*w**2 - 67*w + 68*w + w**3 + 7*w**4 + 2*w**2 as m*w**2 + i*w**4 + u*w**3 + g*w + z and give m. -1 Rearrange (-1221*s + 2 + 625*s + 501*s)*(-2*s**2 + 2*s**2 + 2*s**2) to the form y*s + f + x*s**3 + h*s**2 and give x. -190 Rearrange (0 - 2*f + 0)*((0 + 0 - 2)*(4 - 2 - 1) - 19 + 18 - 30) to a*f + r and give a. 66 Rearrange 45*a**2 - 55*a**2 + 26*a**2 to q + i*a + x*a**2 and give i. 0 Express 1 - 2 - w + 0 + (5*w - 4*w + 3*w)*(0 - 2 + 3) in the form m*w + f and give m. 3 Rearrange (-2 - 4 + 4 + (1 + 1 + 0)*(2 - 1 + 1) + 1 - 3 - 5)*(4*y - 4*y - y**2) to the form w + f*y + t*y**2 and give t. 5 Express -2*l**4 - 2 + 2*l**2 + 2 - 2*l**3 - 1 as t*l**4 + n*l**3 + a*l + y + b*l**2 and give t. -2 Express 2*i**2 - 3*i**2 + 4*i**2 - 3*i**2 + 3*i**2 - 2*i**2 + (4*i - i + 0*i)*(-2*i + 3*i + 2*i) - 2 + 2 - i**2 in the form r + o*i**2 + w*i and give o. 9 Rearrange (-3 + 0 + 2 + (1 - 1 + 1)*(0 - 6 + 4))*(6 - 8 - 30*v + 4*v) to the form l + q*v and give q. 78 Express -3 - 387*w**3 + w + 387*w**3 - w**4 as l*w + a + r*w**4 + d*w**2 + j*w**3 and give d. 0 Rearrange (-4*k + 40*k + 69*k + 11*k)*(-3 - 1 + 5) to t + u*k and give u. 116 Express (-2*x**2 - 6 + 6)*(-2*x**2 + 2*x**2 - 8*x**2) as k + y*x + u*x**3 + t*x**2 + q*x**4 and give q. 16 Rearrange (-3 + 3 + s)*(-7 + 2 + 1) + (-2 + 2 + 1)*(0*s + 0*s + 5*s) to z + w*s and give w. 1 Express (0 - 1 + 3)*(2*c**2 - c - 8*c**2 - 2*c**2) as f*c + v*c**2 + d and give f. -2 Rearrange -8*s + 2 - 16*s - 2*s + 2*s to the form j*s + z and give z. 2 Express 28*t**2 + 45 - 45 in the form p + l*t + k*t**2 and give k. 28 Express -3*h**2 - 2*h + 8*h**3 - 14*h**3 + 2 + 14*h**3 as i*h**2 + d + z*h + w*h**3 and give w. 8 Express -1070*i**2 + 2*i**3 - 126 + 2*i**4 + 1070*i**2 as g + s*i + b*i**4 + l*i**2 + d*i**3 and give b. 2 Express 3*p**3 - 3*p - 2*p**4 + 5*p - 3*p**2 + 2*p**2 + p**4 in the form u*p**4 + v*p**2 + h*p**3 + t + j*p and give j. 2 Rearrange 0*u**2 + 5*u**2 + 2*u - 3*u**2 + 2*u**3 to the form i*u**3 + m*u + f + x*u**2 and give x. 2 Rearrange (-v + 5*v - 2*v)*(-87*v - 6*v**2 + v**2 + 101*v) to the form k*v + t + j*v**2 + i*v**3 and give i. -10 Rearrange 23 - 40 - f**4 - 2*f**3 + 2*f**2 + 16 to a*f**3 + n + u*f**4 + y*f + t*f**2 and give n. -1 Express 6*m**3 + 5*m**3 - 5*m**2 - 10*m**3 in the form b*m**2 + g*m + l*m**3 + w and give b. -5 Express 9 + 11 - 18 - 2*h + 1 in the form m + x*h and give m. 3 Express (-7*u - 17*u + 9*u)*(2*u - 2*u + u) in the form t + x*u + a*u**2 and give a. -15 Rearrange (2 + 1 - 5 + (0 + 0 + 4)*(4 - 2 - 1))*(2 + l - 2) to the form f*l + w and give f. 2 Express 0 + 2 + 57*g**2 - 49*g**2 in the form l + m*g + k*g**2 and give k. 8 Express i**4 - 6*i**3 + 0*i - 4*i - 1 + 7*i as r*i**3 + g*i**4 + m*i**2 + w + x*i and give w. -1 Rearrange 25 - 45 + 21 - 22*p**2 to c*p**2 + a*p + k and give k. 1 Express -19*n**2 + n - n + 2 + 21*n**2 in the form d*n**2 + l*n + s and give d. 2 Express 6 + 28*n - 1 - 5 in the form j + t*n and give t. 28 Rearrange ((-4*d + 0*d + 2*d)*(-1 + 2 + 0) + 4 + 5*d - 4)*(1 + 1 - 5)*(1 - 1 + 2*d**3) to the form n + t*d**4 + z*d**2 + q*d**3 + h*d and give t. -18 Express 8*v**3 - 3 + 2*v + 1 - 7*v**3 + 3*v**2 as j + c*v + a*v**3 + b*v**2 and give a. 1 Express (0*c**2 + c**2 - 4*c**2 + (-c - 3*c + 5*c)*(c + c - 4*c) - 2 + 2 + c**2)*(-5*c - 2*c**2 + 5*c) as k*c**4 + m*c + o*c**3 + j + t*c**2 and give k. 8 Express (2*w**2 + 2*w**2 - 2*w**2)*(w + 0*w + 0*w) + 2*w - 2*w + 3*w**3 + (0*w + 2*w - 4*w)*(-w + w + w**2) as a*w**3 + d + b*w**2 + u*w and give a. 3 Rearrange -3*h**2 + 3*h**2 - h**2 to j + z*h + a*h**2 and give j. 0 Rearrange 0*g**3 - g**4 - 2*g**3 - 2*g**2 + 6*g - 5*g to the form k + c*g**2 + t*g**3 + q*g**4 + y*g and give q. -1 Rearrange 2*k**3 + 2*k + 12 - 5*k**2 + 4*k**2 - 19 to the form l*k**2 + r*k + z + i*k**3 and give i. 2 Rearrange
{ "pile_set_name": "DM Mathematics" }
133))/sqrt(7) - 2*sqrt(304))**2. -7296 Simplify (-4*sqrt(816))/(sqrt(3) + sqrt(9)/(sqrt(12)/sqrt(4))) + -4. -8*sqrt(17) - 4 Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)/(2*sqrt(10)). -63*sqrt(3)/2 + 977 Simplify ((sqrt(187) - (sqrt(187) + sqrt(187) + -1*(sqrt(187) + 1*sqrt(187))))/((-1*sqrt(88))/sqrt(8)) + 4)**2. -8*sqrt(17) + 33 Simplify (sqrt(13) - ((4*sqrt(13))**2 + 4))*-5 - (sqrt(1872) + 3 + -1). -17*sqrt(13) + 1058 Simplify (sqrt(20) - 2*sqrt(980))/sqrt(4) + sqrt(20) + sqrt(500) + -3 + sqrt(20) + -5. -8 + sqrt(5) Simplify (4*sqrt(187)*-2 + sqrt(187) + sqrt(187) - 5*(sqrt(187)*2 + sqrt(187) + sqrt(187)))/((sqrt(1100) - sqrt(1100)*2)*-3). -13*sqrt(17)/15 Simplify ((sqrt(22) - (sqrt(22) - -5*sqrt(88))) + ((-1*sqrt(88))/sqrt(4) - sqrt(22)))/(sqrt(12)/(sqrt(6)*-1) - (sqrt(162)*-1 - sqrt(162))). -12*sqrt(11)/17 Simplify 0 + sqrt(17) + -1 + sqrt(34)/(sqrt(6)/sqrt(3)) - (sqrt(833)*-2*-2)**2. -13329 + 2*sqrt(17) Simplify (1*(sqrt(204) - 2*sqrt(204)) + (sqrt(204) - -1*sqrt(204))*-1)/((3*sqrt(108) + sqrt(108))*5). -sqrt(17)/20 Simplify (-6*(2 + 1 + sqrt(396)*1 + sqrt(396) + sqrt(396) + sqrt(396) + 1*sqrt(396)*6))**2. 12960*sqrt(11) + 1425924 Simplify (4*sqrt(78)*-2*-6)/(sqrt(96)*-2*6 + sqrt(96)). -12*sqrt(13)/11 Simplify -3 + (1 + (sqrt(1250) + sqrt(1250) + -6*sqrt(1250))/sqrt(10))**2*2. -80*sqrt(5) + 3999 Simplify 0 + -4 + (1 + sqrt(891) + -4 + sqrt(891))**2. -108*sqrt(11) + 3569 Simplify ((sqrt(19) + -1)**2 + -4 - (-5 + sqrt(76)/sqrt(4))) + (-6*(sqrt(19) - sqrt(76)*-3))**2 + 4. -3*sqrt(19) + 33541 Simplify sqrt(10)/(3*sqrt(12)/sqrt(6)) + ((sqrt(175)*-4 + sqrt(175) + sqrt(175))/sqrt(7))/sqrt(5). -5*sqrt(5)/3 Simplify 1 + (sqrt(96)/(sqrt(48) - sqrt(3)) + sqrt(32) + (sqrt(32) + sqrt(384)/(-2*sqrt(12) + sqrt(12)) - sqrt(32)))*-5. -20*sqrt(2)/3 + 1 Simplify ((sqrt(2) - sqrt(32)) + -4 - (sqrt(10)/sqrt(5) + -4) - (sqrt(150)/sqrt(3) + 1 + sqrt(288)))**2. 42*sqrt(2) + 883 Simplify ((-2 + sqrt(35)/(sqrt(7) - sqrt(112)) + -3 + (sqrt(5) - sqrt(55)/(sqrt(99)/sqrt(9))))*1)**2. 10*sqrt(5)/3 + 230/9 Simplify ((sqrt(2178) - (sqrt(2178) + 1*-2*sqrt(2178))) + sqrt(2178))/((1*sqrt(96) + sqrt(96))*5). 33*sqrt(3)/40 Simplify (-5 + sqrt(539) + (2 + sqrt(539))*-4)*2. -42*sqrt(11) - 26 Simplify ((sqrt(80) - 2*sqrt(80))*-3 + -5*sqrt(80)*-1 + sqrt(80))/(1*(sqrt(196) - sqrt(196)*2) + sqrt(196) + sqrt(196)). 18*sqrt(5)/7 Simplify 1 + (-2 + -2*-3*sqrt(68) + 0 + 0)**2. -48*sqrt(17) + 2453 Simplify -4*(1*-4*sqrt(44)/sqrt(4))**2 - (5*(-1 + sqrt(99))*-1)**2. -3204 + 150*sqrt(11) Simplify (-2 + (sqrt(1400) - sqrt(1400)*-2)/(-1*sqrt(98)))**2. 120*sqrt(7)/7 + 928/7 Simplify (-1 + ((sqrt(440)*-3 + sqrt(440))/sqrt(10) - (sqrt(44)*-3 + -5)) + 4)**2. 32*sqrt(11) + 108 Simplify ((sqrt(117) - (sqrt(117) - -2*sqrt(117)))*2*-3 - 2*(sqrt(117) + (sqrt(117) - -1*(sqrt(117) + -2))))**2. 144*sqrt(13) + 4228 Simplify (-4*sqrt(104)*2)/(6*(sqrt(8) + 3*sqrt(8) + sqrt(8))). -4*sqrt(13)/15 Simplify -4 + sqrt(192)/((-1*sqrt(44))/sqrt(11)). -4*sqrt(3) - 4 Simplify -6*(-1*sqrt(190)*-5)/((sqrt(20)*-2)/sqrt(2)). 15*sqrt(19) Simplify (-5*(sqrt(104)*-2 - sqrt(104)))/sqrt(8) - (sqrt(39)/sqrt(3)*2 - sqrt(39)/sqrt(27))**2. -325/9 + 15*sqrt(13) Simplify ((-1*1*sqrt(190)*-4)/(-1*(sqrt(10) + sqrt(160)) + sqrt(20)/sqrt(2)*-6))**2. 304/121 Simplify 4 + (sqrt(34) - (sqrt(136)*1 - sqrt(34)))/(-1*(sqrt(2) + sqrt(2)*-2 + sqrt(2)) - sqrt(2)) + 5. 9 Simplify (-5*sqrt(216))/sqrt(3) + -4. -30*sqrt(2) - 4 Simplify (((sqrt(1300) - (sqrt(1300) - sqrt(1300)*-2*-4)) + -4 + sqrt(1300)*-1)*-6)**2*-6*5. -68813280 + 604800*sqrt(13) Simplify (sqrt(363) + 3)*4*-2 + 3. -88*sqrt(3) - 21 Simplify (-5 + -3*(5 + sqrt(242) + -2) + -1*sqrt(242)*-1*-2)**2. 1540*sqrt(2) + 6246 Simplify (3 + sqrt(343) + 3)**2 + (sqrt(448) + -1*sqrt(448) - (sqrt(7) + 0)*3). 81*sqrt(7) + 379 Simplify (2 + sqrt(320))*-6 + 3 - (((sqrt(320) - -1*sqrt(320)) + -3)**2 + (sqrt(320) + sqrt(320)*2)*-3). -1298 + 120*sqrt(5) Simplify (sqrt(70)/((sqrt(24)*-1)/sqrt(12)))/((sqrt(125) + sqrt(125)*3)*-3 + sqrt(125)). sqrt(7)/55 Simplify 6*(-4 + -2 + sqrt(252) - sqrt(252)) - (2 + (sqrt(252) + sqrt(252) + 2 - sqrt(252)) + -3)**2. -289 - 12*sqrt(7) Simplify (((sqrt(70) - 3*(sqrt(70)*-2 + sqrt(70))) + (1*(sqrt(70)*1 + sqrt(70)) - sqrt(70)))/(1*sqrt(800)/sqrt(5)))**2. 175/16 Simplify (sqrt(35)/(sqrt(20)/sqrt(4)) - sqrt(7) - sqrt(7))*4 + -2 - (2*sqrt(7)*6 - (sqrt(567)*3 - sqrt(567)))**2. -254 - 4*sqrt(7) Simplify ((sqrt(2500) + sqrt(2500)*3 + sqrt(2500) - sqrt(2500)) + sqrt(2500))/(sqrt(45)*3). 50*sqrt(5)/9 Simplify 6*(5 + (3 + (sqrt(19) + -1)*-1 + sqrt(152)/(sqrt(72) + sqrt(8)))**2). -36*sqrt(19) + 1521/8 Simplify 3*((((1*sqrt(288) - sqrt(288))**2 - sqrt(288))*-1 - sqrt(288)) + (sqrt(3200) + -2 - sqrt(3200))**2). 12 Simplify -4*(-4 + (sqrt(133)*-1*3)/(-1*-2*sqrt(7) + sqrt(7)) + -5). 4*sqrt(19) + 36 Simplify -3 + (((sqrt(280) - sqrt(280)*2)*-1)/sqrt(7))/((sqrt(1152) + sqrt(1152) + sqrt(1152)*2 - sqrt(1152))*-3). -3 - sqrt(5)/108 Simplify ((-2 + (sqrt(55)/sqrt(5) + -4 - sqrt(275)*1))*6*4 + 3)**2. 27072*sqrt(11) + 121257 Simplify -2 + -4 + ((-5 + 2*(sqrt(931) + -1))*-1)**2. -196*sqrt(19) + 3767 Simplify -6*(((sqrt(13) + -2)*-5)**2 + -3 - (-1 + sqrt(1053) + 4)**2). 924*sqrt(13) + 3840 Simplify (6*(-2 + sqrt(6)/sqrt(3) + 3 + (5*(sqrt(80)/sqrt(4) - sqrt(20)))/sqrt(10)))**2 + 5. 72*sqrt(2) + 113 Simplify (sqrt(693)/(sqrt(11) + 1*sqrt(44)))/(2*sqrt(36)*-6). -sqrt(7)/72 Simplify (2*2*sqrt(91) - (sqrt(91) - -1*sqrt(91))*-2)/(sqrt(70)/((sqrt(110)*-2)/sqrt(11))). -16*sqrt(13) Simplify ((2*sqrt(1512) - sqrt(42)) + (sqrt(420)*-1 + sqrt(420))/sqrt(10))/((sqrt(120)/sqrt(10)*-1)/sqrt(2)). -11*sqrt(7) Simplify (sqrt(1836)*1*-2)/(sqrt(147) - -5*-2*sqrt(147)). 4*sqrt(17)/21 Simplify 4 + ((sqrt(132)*-4 - sqrt(132))*-2)/(sqrt(12) - sqrt(108)/sqrt(225)). 4 + 25*sqrt(11)/2 Simplify (-2*(sqrt(200) + -3 - sqrt(200)) + sqrt(200) + sqrt(200) + (sqrt(200)*4 + sqrt(200))*6 + sqrt(200))**2. 3960*sqrt(2) + 217836 Simplify (-3 + sqrt(475) + 2*sqrt(475)*-1)**2 + 1 + (sqrt(475) + (sqrt(475) - 2*(1 + sqrt(475) + sqrt(475))))**2. 70*sqrt(19) + 2389 Simplify ((sqrt(500) - (sqrt(500) - (-2 + sqrt(500)))) + 3*sqrt(125) + sqrt(125) + -1 + sqrt(405) + 1 + 4)**2. 156*sqrt(5) + 7609 Simplify -5*(sqrt(13) + -1 + sqrt(1573)) - (-1 + (-2*sqrt(637))**2). -2542 - 60*sqrt(13) Simplify -4 + -2 + sqrt(2057) - (sqrt(272) + 0 - (-4 + (sqrt(68)/sqrt(4) - sqrt(17)))). -10 + 7*sqrt(17) Simplify (sqrt(891)*1 + sqrt(891))**2*-5 + (-6*(sqrt(396) + -1 + sqrt(396)))**2. -864*sqrt(11) + 39240 Simplify -2*((-2*sqrt(637) + sqrt(637) + (sqrt(13) + (sqrt(13) - (sqrt(91) + (sqrt(91) - (sqrt(91) - sqrt(91)*4)))/sqrt(7)) - sqrt(13)))**2 + 5). -3156 Simplify 2*((sqrt(68) + sqrt(68) + ((sqrt(68) + 2 + sqrt(68) + sqrt(68))*3 - sqrt(68)) - (sqrt(68) + ((sqrt(68) + -2)*5 - sqrt(68))))**2 + 1). 640*sqrt(17) + 3914 Simplify (sqrt(80)*-3 - (sqrt(20) - (sqrt(20) + 6*sqrt(180) - sqrt(20))))/(-6*sqrt(12)/sqrt(3) + sqrt(4) + (sqrt(96)/sqrt(3))/sqrt(8)). -11*sqrt(5)/4 Simplify (3*(-6*sqrt(363)*-1 + sqrt(363) + sqrt(363)*-1 + 5 + -3*(sqrt(363) + 1)*-3))**2. 41580*sqrt(3) + 736839 Simplify ((sqrt(117) + -6*sqrt(117)*-2 - 1*sqrt(117)*1) + 5 + 2)**2. 504*sqrt(13) + 16897 Simplify -1 + -2*(-5*(sqrt(7) - (sqrt(42) + (sqrt(42) - sqrt(168)))/sqrt(6)))**2*-6*-2. -4201 Simplify (sqrt(132) - (3*sqrt(132)*-2 - sqrt(132)))/sqrt(12)*-4 + -3. -32*sqrt(11) - 3 Simplify 3*(sqrt(3) + sqrt(3)*-2*1)*-6*2. 36*sqrt(3) Simplify 2 + sqrt(28) + sqrt(7) + sqrt(7) + (sqrt(84)/(sqrt(48)/sqrt(4)))**2 - (0 + sqrt(7) + 2)**2*-5. 24*sqrt(7) + 64 Simplify 5*(-3 + (-6*(sqrt(275) + -1) - (sqrt(275) + 0 + -1*sqrt(275)))). -150*sqrt(11) + 15 Simplify -1*(sqrt(1440)/sqrt(8) + (sqrt(5) - (sqrt(20)/sqrt(4) + 3)) + -2 + -4). -6*sqrt(5) + 9 Simplify (0 + 2*(4 + 1*sqrt(80))*3)**2. 1152*sqrt(5) + 3456 Simplify (6*(sqrt(128) + 1))**2 + (5 + sqrt(128) + 0 - sqrt(128)) + 4. 576*sqrt(2) + 4653 Simplify (-1*(sqrt(72) + 0 + sqrt(72) + sqrt(72)) - sqrt(72) - sqrt(72))**2 + ((4 + sqrt(128)*-1)*5)**2. -1600*sqrt(2) + 5400 Simplify (-4*4*(-3 + sqrt(2)))**2 + sqrt(20)/(sqrt(1440) - (sqrt(1440)*6 - sqrt(1440))). -73729*sqrt(2)/48 + 2816 Simplify (5*1*-3*sqrt(10))/(sqrt(8)/(3*2*sqrt(4))). -90*sqrt(5) Simplify (sqrt(100) + (sqrt(100) - (sqrt(100) + sqrt(100) + (sqrt(100) + 2*4*sqrt(100) - sqrt(100)
{ "pile_set_name": "DM Mathematics" }
- -33))? 0 -14 + -8 - -18 - 20 -24 What is the value of -10 + -7 + -12 + 56 + 1? 28 Calculate (0 - 1) + 3 + 2 - (-1075 + 1069). 10 7 - (75 + -22 + -30) -16 Calculate (-2 - 27) + 5 + -4 + (6 - 5). -27 Calculate 8 + 1 + -2 + (-22 - -12 - 5). -8 Evaluate (-6 - (-4 + 15)) + 10 - 5. -12 What is the value of (8 - (6 + 2 - (22 - 19))) + 0? 3 Calculate 10 + 7 - 1 - -12. 28 Calculate -25 - (-24 - -11 - 29). 17 What is -12 + 4 - (10 + -8)? -10 What is -3 + (-3 - 1 - (-7 - (9 - 3)))? 6 -5 + (7 - 0) - (16 - 3) -11 Calculate -4 + (1 - (-21 + 13 - 8)). 13 Evaluate (-18 - -9) + -3 - -3. -9 Evaluate -4 + 37 + -47 + -12. -26 Calculate 9 + -5 - ((-33 - -40) + (1 - 5)). 1 -1 + -1 + 0 + (-877 - -864) -15 What is 16 - (6 + 1 + 7 + -14)? 16 Evaluate (69 - 42 - 34) + 17. 10 Calculate -14 + (25 - (8 - -4) - -6). 5 11 + (-2 - 1) + 5 + -7 + 7 13 What is the value of -69 + 74 - (6 - 1) - -3? 3 Evaluate (15 - 15 - (8 + 0)) + 3. -5 Calculate 32 + (-25 - -28) + -25. 10 -4 + (-18 - (-56 + 15 + -10)) 29 What is the value of -7 - 19 - -13 - -10? -3 Calculate (17 - 31 - -17 - (1 + 8)) + 1. -5 Evaluate 20 + 7 + -4 + -2 + -9. 12 Evaluate 8 - (-5 - 3 - -23 - 10). 3 What is (-1 - (-40 + -1)) + 991 + -1009? 22 Evaluate -5 + (5 - -2) + 5 + -13. -6 Evaluate (19 + 40 - 29) + -52. -22 -6 + (-5 - (0 + -21)) + -5 - -23 28 What is the value of -5 + -2 - (-13 - -14) - -6? -2 What is the value of -71 + 73 - (16 - -2)? -16 Calculate 6 + (0 - 2) + -10 + -7 - -8. -5 Evaluate 0 + 5 + (-19 + 1 - -3). -10 Evaluate -15 + -5 + 13 - -25. 18 What is the value of (-1 - -16) + 2 + -14 + -28? -25 Evaluate 0 + (6 - (-6 - -17)) + 9 + 0. 4 Evaluate 6 + (-3 - (21 + -7)). -11 What is (3 - (3 + -11)) + 2 + (13 - 6)? 20 What is the value of 41 + -8 + -13 - (12 - -1)? 7 Evaluate -5 + -9 - -33 - 20. -1 What is the value of -8 - -1 - (8 - 24)? 9 What is the value of -194 - -161 - (3 + 0 + -16)? -20 Calculate -5 + -2 + 18 - 13. -2 What is -1 + -1 + (-160 - -148)? -14 (4 - -1) + (-595 - -608) 18 What is the value of 5 + 35 + -41 + -23? -24 What is (10 - 7 - 6 - (4 + -9)) + 29? 31 What is the value of (8 + 11 - (-3 - -16)) + -1? 5 11 + -15 + -3 - (-41 - (-7 + 7)) 34 Calculate 33 - (7 + 32 + -24). 18 (0 - -10) + -3 + 2 + -14 -5 Calculate -12 + -3 + 6 + 6. -3 What is the value of 10 - 46 - (89 + -150)? 25 What is 49 + -64 + (25 - -22)? 32 Calculate -5 + 4 + -2 + -3 + 8. 2 Calculate (-38 + 41 - -10) + 17. 30 33 + (-25 - 0) + (320 - 311) 17 What is the value of (-12 - -2 - (3 - (-4 - -31))) + -2? 12 Calculate (0 - 9) + (102 - 105). -12 What is 1 + 6 + 123 + -118? 12 What is -41 + -41 + (14 - -95)? 27 What is the value of (-61 - -30) + (13 - 0)? -18 What is 1 - -2 - (0 + -3) - (-1 + 2)? 5 -5 + 9 - 3 - (-2 - (1 + -3)) 1 What is -16 - -58 - 23 - (-1 - -3)? 17 Evaluate -7 - (-11 - -5) - (-3 - 5 - 3). 10 Calculate -13 + (39 - 15) + -14. -3 What is the value of 33 - (8 + 1) - 12? 12 What is the value of 8 + (1 - 1 - 8) + 9 + -13? -4 What is (-39 - -12) + (2 - (-2 - -4)) + -1? -28 What is (-9 - -19) + 7 - 13? 4 Calculate 6 + (5 - (11 - -3)) - (-16 + 15). -2 (46 - 49) + (0 - -3) - (-1 - 4) 5 Calculate -12 + 0 - (17 + 5 + -28). -6 Evaluate -27 + -52 + (79 - 39). -39 Calculate 25 + -9 + -11 + (1 - 10). -4 What is 2 - -27 - (191 - 187)? 25 What is the value of (0 + (7 - (-4 - -9)) - 0) + -2? 0 What is (26 - (-4 + 17 + 1)) + 1? 13 What is -3 - (-3 + 0 + (5 - 7)) - 6? -4 What is -13 - (17 - (13 - (-6 - (-3 + -4))))? -18 Evaluate -2 - -7 - (-6 + (15 + -10 - -6)). 0 18 + (35 - 62) + (-9 - -1) -17 What is -2 - (11 - -8 - (7 + 1))? -13 Evaluate (-18 - 9 - -6) + 21. 0 What is the value of 6 + -2 - -1 - (19 + -23 + 6)? 3 -8 - (18 - 6 - -2) - -2 -20 Calculate -4 + -3 - -7 - (8 - 3) - 1. -6 Calculate -3 + 12 - (37 + -33 + (-22 - -1)). 26 What is (-14 - (-1 + -3)) + 23? 13 What is 5 - (-8 + 6 - -4) - 1? 2 What is the value of -3 + 1 + 0 + -7 + 4? -5 -2 - (-22 + 7) - 14 -1 What is 2 - 1 - (2 + -3 + -14 + 17)? -1 Evaluate (27 - 26) + 2 + 0 + 25 + -29. -1 -24 + 3 + (45 + -51 - (-1 + -5)) -21 What is the value of 20 + (-3 - (-11 - -12)) + (5 - 10)? 11 What is -6 + 0 + (20 - 16) + 2 - -3? 3 -910 + 889 + (-4 - 2) -27 What is the value of -4 + 3 + (25 - 32) - -9? 1 What is the value of 2 - (2 + (2 - (8 + 2)) + 0)? 8 What is (-48 + 1 + 16 - 0) + 11? -20 What is the value of (-5 - (30 + -70)) + 0 + -6? 29 3 + (-16 - -3) + 3 + (89 - 90) -8 What is -5 + -2 + -5 + 6 + (5 - 2)? -3 What is the value of 2 + -2 + (-1003 - -991)? -12 Evaluate (1 - (-2 + 5)) + 1 + -2 + 11. 8 Evaluate 21 - (16 + -6) - (-5 + 2 + -5). 19 What is 27 + -14 + -3 + 4? 14 What is (-13 - -1) + 9 + -1 + 7 - -26? 29 -16 + 9 + (5 - (11 - 2)) -11 What is 0 - ((3 - 4) + -6) - 1? 6 3 - 21 - -21 - (-7 - -2) 8 What is (5 - 13) + 13 + -31? -26 Calculate 35 - 0 - 26 - (-6 + -13). 28 What is 8 + (-1 - (24 - 4 - 13))? 0 Calculate (13 - 0) + (-38 + 32 - -7). 14 Evaluate 14 + (6 - (12 + 7)). 1 Evaluate (1 - -1) + (-19 - (-17 + 36 - 39)). 3 Evaluate -2 - 3 - (4 - 6 - 22). 19 What is -17 - (5 + (-13 - -1) - (1 + -7))? -16 Calculate (14 - 2) + (7 - 4) - 4. 11 Evaluate 1 - 8 - (-22 - -13 - -16). -14 Calculate (-5 - (21 + -4) - -8) + 4. -10 What is -3 + -7 + 17 - (0 - (2 - 1))? 8 What is the value of -27 - (-3 + (9 - 19))? -14 What is 4 + 5 + -17 + (15 + -37 - -20)? -10 What is -15 + (9 - -19) - (-6 - 14)? 33 What is (26 - -1) + (-40 - -32) - 8? 11 (9 - (-14 - (-33 - -16))) + -6 0 What is -6 - (-6 + 20 + -5)? -15 Evaluate 6 + (-10 - (-2 + (9 - 10))). -1 What is -3 - ((4 - -2) + (-16 - (4 - 14)))? -3 Calculate 1485 - 1451 - (27 - 0). 7 What is the value of -7 - (-9 + 20 + -7 - -2 - 3)? -10 (19 - (20 + 0)) + 16 15 Calculate 3 + 10 + -15 + -2 + -1 + 4. -1 What is the value of 11 - -2 - (73 - 61)? 1 Evaluate -24 - -26 - (3 + -1) - -6. 6 Evaluate 6 + -15 + 2 + 11 + (3 - 0). 7 (-12 + 5 - -34 - 4) + -3 20 Evaluate (0 - (7 + 2)) + 6. -3 Evaluate (2 - 2) + (-2 - 21) - (-565 - -557). -15 What is the value of -449 + 437 - (-27 - -3)? 12 3 - 0 - 6 - (289 + -272) -20 Evaluate -21 - (6 - -2 - (30 - 11)). -10 Calculate -3 + (26 - 15) + 14. 22 Evaluate -11 + 18 + -31 + 21. -3 Calculate -2 + -7 + 1 + -1 + 5. -4 What is -24 - (3 + -17 + 11 - 4)? -17 Evaluate -5 - 0 - (-29 + 32). -8 What is the value of -1 + (-6 - (-6 + 1 + -4)) + -6? -4 What is 73 - 71 - (5 + -4 - (-9 + -1))? -9 Evaluate 3 - (7 + -16 + (-4 - -9)). 7 What is -1 - (7 + (-1 - (-8 + -2 + 5)))? -12 Evaluate 0 + 2 - -10 - (7 - (-29 - -32)). 8 Calculate (-4 - 4) + (-45 - -61). 8 -31 - (10 + (5 - 33)) -13 10 - (-22 + (-10 - -32)) 10 Calculate (-18 - 0) + (77 + -66 - (5 + -1)). -11 Evaluate -23 - 14 - -21 - (-1 + 1). -16 Calculate -9 + 0 - ((-64 - -60) + 15 + 2). -22 Calculate 1 + -1 + (-5 - 1) - (3 + -5). -4 What is the value of 18 - (-16 - -30) - -7? 11 (0 + 2 - -6) + 1 - 3 6 What is the value of (4 - (-2 + 13) - -21) + 13? 27 What is 19 - ((1 - 0) + 13)? 5 -1 + -8 + (-1 - (5 + -8)) -7 What is (-9 - (-6 - -11)) + 12? -2 Evaluate 1 + -15 + 70 + -67. -11 Calculate -17 + (23 + 11 - 17). 0 What is the value of (-6 - (7 + -11 - (4 - -1))) + 1? 4 What is (-14 - (-9 - (14 + -5))) + 3 + 26? 33 Evaluate 7 - (14 + -4 + 6 + -1). -8 What is the value of 853 - 828 - (12 + 0)? 13 Evaluate 3 - ((10 - (-16 + 18)) + 1). -6 Evaluate (2 - 1) + (7 - 4) + 7. 11 (-11 - -22) + -6 + (2 - 1) 6 Evaluate -3 + -2 + (21 - 32 - 14) + -8. -38 -2 + 1 + (-249 - -252) + (0 - 10) -8 Evaluate 2 - 4 - (-11 + 73 + -33). -31 Calculate 23 + (11 + (-8 - (6 - -7)) - -8). 21 Evaluate 1253 + -1234 - (0 + 27). -8 Calculate (-8 - -8) + (-8 - 0). -8 What is the value of -2 - 5 - -10 - ((3 - 6) + 7)? -1 Evaluate 5 + -11 + (1 + -11 - (-91 + 90)). -15 -4 - (-1 + (1 - -7 - 6) - 2) -3 Calculate -10 + (-1 - 2 - (2 - 24)). 9 Calculate -2 - (9 - (8 + 5)). 2 What is 284 + -318 + 16 + 0? -18 (-12 - -4 - (-12 - -3) - -8) + -32 -23 (20 - -13) + -44 - 8 -19 What is the value of 11 + (-10 - (-14 + 8))? 7 10 + -59 - (160 + -172) -37 What is the value of 33 - (7 + 7 + (-16 - -4))? 31 What is the value of 22 + (-11 - -4) - (-2 - -11)? 6 What is the value of (-1 - 13) + 86 + -46? 26 Evaluate -15 + 6 + 13 - (-2 - 1). 7 What is the value of (-8 - -2 - 8) + 25 - 24? -13 What is the value of 6 + -36 + 28 + 22? 20 -5 - (37 - 26) - 1 -17 What is (17 - 10) + -9 + 10 - (6 + 1)? 1 Evaluate (5 - (-1 + 8)) + (0 + 0 - 6). -8 Evalu
{ "pile_set_name": "DM Mathematics" }
v(l) = -159*l. Calculate v(j(i)). -159*i Let q(n) = 7*n + 5. Let c(w) = -4*w - 3. Suppose -3*l + 2 + 0 = k, -2*l + 3 = k. Let t(z) = k*c(z) + 3*q(z). Let b(d) = -d. Give b(t(v)). -v Suppose -5*q + 40 = 3*b, -q - 2*b = -3*b. Let o(g) = 2*g + q*g - 5*g. Let n(k) be the second derivative of k**4/12 + k. What is n(o(l))? 4*l**2 Let g(z) = 3*z**2. Let l(i) = i - 1. Let m(k) = 11*k**2 - 11*k + 11. Let j(q) = 11*l(q) + m(q). What is j(g(v))? 99*v**4 Let d(l) be the third derivative of l**5/60 + 7*l**2. Let x(p) = 18*p**2. Give x(d(q)). 18*q**4 Let m(x) = -261*x. Let h(o) = -o**2. What is h(m(c))? -68121*c**2 Let s = 10 - 10. Let v(i) = 3*i + s*i - 4*i. Let f(m) = -2*m**2. Determine v(f(b)). 2*b**2 Let i(v) = -4*v**2. Let f be (1/2)/((-4)/(-80)). Let w be ((-4)/f)/(1/(-15)). Let k(d) = 4*d**2 + d**2 - w*d**2. Determine i(k(t)). -4*t**4 Let j(d) = -5*d**2. Let a(s) = 2*s**2 + 3*s. Let y(h) = 6*h**2 + 8*h. Let x = -2 - -5. Let c(k) = x*y(k) - 8*a(k). What is j(c(p))? -20*p**4 Let d = 15 - 11. Let r(c) = 0*c**2 - d*c**2 + 6*c**2. Let y(j) = 6*j**2. Give y(r(b)). 24*b**4 Let z(h) = -2*h. Suppose a = 5 - 3. Let q(m) = 4 + a - 6 + m. What is z(q(w))? -2*w Let p(q) = -6*q. Let a(g) = 599*g**2. Give a(p(i)). 21564*i**2 Let b(v) = 3*v. Let i be b(1). Let z(l) = 5*l - l - i*l. Let r(y) = 19*y**2 + 11. Let u(c) = 10*c**2 + 6. Let h(n) = 6*r(n) - 11*u(n). Determine h(z(o)). 4*o**2 Let t(m) = -m**2 + m - 1. Let s(i) = -3*i**2 + 2*i - 2. Let w(x) = s(x) - 2*t(x). Let c(v) = -37*v. What is w(c(h))? -1369*h**2 Let s(m) = -2*m**2 + 4*m + 4. Let w(f) = -3*f**2 + 5*f + 5. Let r(b) = 5*s(b) - 4*w(b). Let x = 7 - 4. Let t(u) = 4*u - u - 3 + x. Calculate t(r(y)). 6*y**2 Let d(k) = -k + 5. Let t(g) = g**2. Calculate t(d(j)). j**2 - 10*j + 25 Let v(d) = d. Let u be 132/28 - (-2)/7. Let b(y) = u - y**2 + 5 - 5 + 3*y + 2*y. Let l(x) = -3*x - 3. Let s(z) = 3*b(z) + 5*l(z). What is v(s(j))? -3*j**2 Let h(w) = -w. Let v(y) = 2065*y. Calculate h(v(f)). -2065*f Let w(h) = -h**2 + 7*h. Let q(r) = r**2 - 6*r. Let g(f) = 7*q(f) + 6*w(f). Let o(n) = 3*n - 7. Calculate o(g(t)). 3*t**2 - 7 Suppose -5*u + 14 = -3*u. Let t(i) = u*i - 7*i + i**2. Let h(x) = -3*x**2 - 5*x. Let v(l) = -4*l**2 - 7*l. Let o(a) = -7*h(a) + 5*v(a). Determine t(o(p)). p**4 Let h(m) = 3*m**2 + 3*m**2 - m**2 - 4*m**2. Let y be ((-4)/(-6))/(2/9). Let f(j) = 2*j**2 - y*j**2 - j**2. Calculate f(h(i)). -2*i**4 Let m(b) = 2*b**2. Let d(g) = -44*g + 17. Let u(n) = -15*n + 6. Let r(a) = 6*d(a) - 17*u(a). Give m(r(l)). 162*l**2 Let f(j) = -56*j + 36. Let d(r) = 5*r**2. What is d(f(b))? 15680*b**2 - 20160*b + 6480 Let x(f) = f. Let k(n) = 12*n. Let y be 1/((-15)/6 + 2). Let d(i) = 3*i. Let q(j) = y*k(j) + 9*d(j). Determine x(q(s)). 3*s Let k = -3 - -9. Let q(a) = 6 + a - k. Let r(v) = v - v + 0*v + v. Give q(r(z)). z Let f(b) = -3*b**2. Let m(d) = -d**3 + 4*d**2 - 2*d - 2. Let x be m(3). Let r(g) = 4*g - x + 5 - 4. Calculate f(r(h)). -48*h**2 Let v(p) = 2*p + 5*p - 2*p - 3*p. Suppose o = 2*o. Let g(f) = 3*f**2 + o*f**2 + 0*f**2. Determine v(g(u)). 6*u**2 Let x(p) = -3*p**2 + 3*p**2 - p**2. Let a(c) be the second derivative of c**4/12 + c - 41. Determine x(a(i)). -i**4 Let t(j) be the second derivative of 1/6*j**4 + 0 + 10*j + 0*j**2 + 0*j**3. Let n(y) = 4 - 4 - 5*y**2. Calculate n(t(f)). -20*f**4 Let k(u) = -25*u. Let q be ((-7)/4)/((-3)/12). Let a(z) = q*z - 3*z - z - 2*z. Give k(a(b)). -25*b Let t(x) = -12*x - 10. Let h(j) = -j - 1. Let b(s) = 10*h(s) - t(s). Let c(w) = -w**2. Give c(b(p)). -4*p**2 Let o(h) = -4*h - 9. Let d(b) = -b - 2. Let s(i) = -18*d(i) + 4*o(i). Let f(q) = 10*q**2. What is s(f(z))? 20*z**2 Let a(u) = 2*u. Let w(x) be the third derivative of -11*x**5/60 - 15*x**2. Determine w(a(s)). -44*s**2 Let s(r) = 4*r**2. Let o(i) = 121*i**2. Determine o(s(k)). 1936*k**4 Let s(r) = -r. Let g(j) = -j + 1. Let o(k) = 1. Let q(l) = 5*g(l) - 5*o(l). What is s(q(w))? 5*w Let r(z) = -7*z**2. Let k(o) = 165*o. Calculate k(r(b)). -1155*b**2 Let h(d) = -8*d. Let z(j) = -3*j + 0*j + 3*j - 4*j. Calculate h(z(q)). 32*q Let o(a) = -201*a**2. Let b(k) = 4*k. Give b(o(c)). -804*c**2 Let z(q) = -10*q**2. Let s(x) be the second derivative of x**4/12 + 17*x. Give z(s(h)). -10*h**4 Let b(x) = -x + 12*x + 3*x. Let i(p) = -p**2. Give i(b(t)). -196*t**2 Let n(k) = -2*k. Let a(u) be the third derivative of -u**4/24 - 18*u**2. Calculate n(a(t)). 2*t Let a(m) = 2*m**2. Let k(i) = 3*i**2 + 4*i - 4. Let l = -6 - -2. Let r(c) = -2*c**2 - 3*c + 3. Let g(b) = l*r(b) - 3*k(b). Calculate a(g(v)). 2*v**4 Let l(r) = -3*r**2. Let w(p) = 5 + 6*p - 4*p - 4*p + 4*p. Let v(z) = z + 2. Let y(q) = 5*v(q) - 2*w(q). Give l(y(n)). -3*n**2 Let d(b) be the second derivative of b**3/2 - b. Let p(z) be the second derivative of -2*z**3/3 + 223*z. Give d(p(v)). -12*v Let g(w) = -3*w - 2. Let v(k) be the third derivative of -k**5/60 - 27*k**2. Give g(v(n)). 3*n**2 - 2 Let d(z) = -9*z**2. Let w be 6/21 - (-666)/21. Let r = -14 + w. Let o(s) = -2*s + r - 18. What is d(o(j))? -36*j**2 Let x(k) be the third derivative of 11*k**7/5040 - k**5/10 + 4*k**2. Let o(d) be the third derivative of x(d). Let i(b) = -b**2. Give o(i(f)). -11*f**2 Let c(y) be the second derivative of -y**4/12 - 3*y. Let m(n) = 28*n. What is c(m(i))? -784*i**2 Let a(r) = -3*r - 95. Let d(p) = -33*p**2. Calculate a(d(f)). 99*f**2 - 95 Let d(s) = -6*s - 4. Let t(g) = g + 1. Let y(l) = -d(l) - 4*t(l). Let j(v) = -697 + 2*v + 697. Give j(y(b)). 4*b Let t(c) be the second derivative of c**4/12 - c. Let r(x) = x**2 + 3*x**2 + 3*x**2 - 4*x**2. What is r(t(f))? 3*f**4 Let i(u) = -18*u. Let l(h) = -5*h + 11*h - 7*h. What is i(l(b))? 18*b Let t(v) = -3*v**2. Suppose -5*x + 44 + 120 = 4*l, -3*x + 92 = -4*l. Let g(y) = 32 - x + y**2. Calculate t(g(z)). -3*z**4 Let o(p) be the third derivative of p**4/24 + 28*p**2. Let l(b) = 17*b**2. Determine o(l(x)). 17*x**2 Let r(h) = -254 + 254 + 5*h. Let u(f) = -f**2. What is r(u(d))? -5*d**2 Let g = 1 - 5. Let i = -2 - g. Let k(h) = -2*h - 3*h + 4*h + i*h. Let c(y) = 5*y. Give k(c(f)). 5*f Let o(r) = 16*r**2. Let a(i) = -30*i - 1. Give o(a(v)). 14400*v**2 + 960*v + 16 Let u(x) = 123*x**2. Let l(j) = j. Calculate u(l(q)). 123*q**2 Let p = 16 - 9. Let g(m) = -p*m + m + 4*m. Let y(w) = 12*w + 16. Let x(o) = 4*o + 5. Let v(j) = 16*x(j) - 5*y(j). Calculate g(v(s)). -8*s Let b(k) = 11*k. Let z be 8/28 + 19/7. Let w(s) = -z*s**2 - 6*s**2 + 11*s**2. What is b(w(l))? 22*l**2 Let i(j) = 7*j**2. Let f(d) = 24*d - 47*d + 22*d. Calculate i(f(k)). 7*k**2 Let u(n) = -532*n + 1. Let y(q) = 2*q. Calculate y(u(i)). -1064*i + 2 Let h(l) = -21*l. Let j(s) = -4*s**2 + 13*s**2 - 7*s**2 - 4*s**2. Determine j(h(w)). -882*w**2 Let t(n) = 10*n. Let z(g) = -8*g + g + 4*g + 2*g. Give z(t(l)). -10*l Let g(v) = 586*v**2. Let q(z) = 33*z**2. Give q(g(f)). 11332068*f**4 Let g(x) = -3*x + 4*x - 4*x. Let l(h) = -2*h**2 - 2*h**2 + 0*h**2 + 5*h**2. Give l(g(n)). 9*n**2 Let g(z) = 0 - 11*z**2 + 16*z**2 + 0. Let t(a) be the second derivative of 0 + 0*a**3 + a + 0*a**2 + 1/6*a**4. Give g(t(d)). 20*d**4 Let n(b) be the third derivative of -b**5/20 + b**3/3 + 8*b**2. Let u(q) = q. Calculate n(u(s)). -3*s**2 + 2 Let f(c) = 4*c**2 - 24*c**2 + 8*c**2 + 10*c**2. Let a(x) = -5*x + 2. Let h(j) = j - 1. Let y(m) = -a(m) - 2*h(m). Give f(y(d)). -18*d**2 Let l(t) = t. Let r(u) = -242*u. Give r(l(h)). -242*h Let x(v) = -3*v + 4*v - 3*v. Let o(d) = -d + 15. Let n be o(8). Let j(l) = n - 7 + 2*l**2. Determine j(x(c)). 8*c**2 Let x(p) = -2*p**2. Let w(i) = 401*i. Calculate w(x(t)). -802*t**2 Let p(o) = o**3 - 12*o**2 + 10*o + 14. Let k be p(11). Let j(l) = -l - 2*l + l - k*l. Let a(g) = g. What is j(a(f))? -5*f Let h(f) be the first derivative of 0*f**2 - 3*f + 2 + 1/6*f**3. Let u(d) be the first derivative of h(d). Let g(o) = 2*o**2. Give g(u(s)). 2*s**2 Let j(r) = 6*r. Let d(l) = 4*l**2 + 2*l**2 - 2*l**2 - 3*l**2. Determine d(j(b)). 36*b**2 Let j(o) = 27*o**2 + 2*o. Let y(d) = -d. Calculate j(y(w)). 27*w**2 - 2*w Let q(v) = -2*v**2. Let b(z) be the third derivative of -z**4/24 + 13*z**2. Determine q(b(x)). -2*x**2 Let k(n) = 14*n**2. Let z(f) = 5*f + 2. Give z(k(m)). 70*m**2 + 2 Let q(y) = y**2 + 4*y**2 - 3*y**2. Let z(o) = o. Let n(k) = -7*k. Let g(s) = n(s) + 6*z(s). What is g(q(l))? -2*l**2 Let o(l) = 2 - 3*l**2 -
{ "pile_set_name": "DM Mathematics" }
715/8 + -89. Put b, 0.3, -4, 0.5 in decreasing order. 0.5, b, 0.3, -4 Suppose 5*w + 4*p - 64 = 0, 0*w + 2*p - 14 = -w. Let v = w + -14. Put 3, -3, v in increasing order. -3, v, 3 Let g = 13.1 - 15. Let a = 1.4 + g. Put -3/5, a, 1 in ascending order. -3/5, a, 1 Let c = 0 + 0. Suppose c*z - 4*z + 5*w + 22 = 0, -5*z + 2*w = -19. Let m = 7 - z. Put 3, -4, m in descending order. m, 3, -4 Let p = 10 - 9.5. Put 2, 0.2, -0.3, p in descending order. 2, p, 0.2, -0.3 Let y = -15.9 + 15. Let s = 0.8 + y. Sort s, 0.3, -0.2 in decreasing order. 0.3, s, -0.2 Suppose 0*m - 4*m - 4 = 2*h, 1 = -m. Let a = h - 1. Let v be ((-24)/(-7) - 3)/(4/28). Sort v, -4, a in increasing order. -4, a, v Suppose -3*d = -7*d. Sort d, -2, -3 in ascending order. -3, -2, d Let p be (6 + -5)*2/2 + -4. Suppose -3*i = 5*l - 16 + 1, -4*l + 12 = -3*i. Sort 4, l, p in increasing order. p, l, 4 Let k be -1*4*2/14. Let q(z) = -z**2 + 14*z + 3. Let x be q(14). Let o be ((63/(-6))/(-7))/x. Put o, k, 2 in decreasing order. 2, o, k Suppose 0 = -m - 5*p + 31 - 11, 0 = -3*m - 4*p + 49. Suppose c - m = 4*c. Put -2, 11, c in descending order. 11, -2, c Let c be 96/15 - 2/5. Let q be (-1 - -4)/(c/4). Let g = 2.1 + -2. Put q, -2, g in ascending order. -2, g, q Let y = -2.037 + 0.077. Let z = y - -0.02. Let w = -0.06 + z. Sort 0.3, -1, w in decreasing order. 0.3, -1, w Let z = 8 - 5. Let k = z - 8. Put -1, k, 3 in ascending order. k, -1, 3 Let g = 4 + -5. Sort -0.1, 0.5, g in descending order. 0.5, -0.1, g Let j be (16/(-20))/(1/15). Let v = 8 + j. Sort 1, -5, v in increasing order. -5, v, 1 Let g be 2/(4/6) - -3. Let x be g/(-24) + 2/8. Sort -5, x, 5 in ascending order. -5, x, 5 Let x = 0.37 - 0.17. Sort 3, -3, x in increasing order. -3, x, 3 Let k = 24 + -25. Sort 4, k, 0. k, 0, 4 Let n = -5 - -9. Let c(g) = 0*g**2 + g**2 - 6*g + 5 + 0*g**2. Let u be c(6). Put u, n, 2 in increasing order. 2, n, u Let y = -45 + 39. Put y, 4, 3 in descending order. 4, 3, y Let u be 19/5 + (-1)/(-5). Suppose 3*s + 5 = -u. Let z = 0.6 - -2.4. Put z, 1/3, s in decreasing order. z, 1/3, s Suppose 66 - 76 = -2*q. Let j be (-4)/6 + 24/(-18). Sort j, q, 3 in ascending order. j, 3, q Let w = 15.001 + -0.001. Put -3, 5, 2/11, w in ascending order. -3, 2/11, 5, w Suppose 0 = -4*h - 3*h - 14. Put 0, -5, h in decreasing order. 0, h, -5 Let h = 227 - 227. Let g = -1 + 4. Put g, -1/4, h in ascending order. -1/4, h, g Let i = 4 + -3.7. Put 0.02, 2/7, i in ascending order. 0.02, 2/7, i Let o = 1.2 + -0.2. Let t = 8/3 + -5/2. Put 2/11, o, t in descending order. o, 2/11, t Suppose 0 = -4*s - 7 - 13. Let u be 0/2 - (1 - 1). Put u, s, 5 in descending order. 5, u, s Let m(u) = -u**2 - 6*u + 5. Let r be m(-6). Let s = 13 - 15. Put 1, r, s in descending order. r, 1, s Let r be (3/9)/((-4)/24). Sort r, -3, -1, 4 in decreasing order. 4, -1, r, -3 Let i be 0*((-2)/(-4))/(-1). Let s = -6 + 9. Suppose -26 = 5*a - s*o, -3*o = -4*a + o - 24. Sort 1, a, i. a, i, 1 Suppose 5*g + 9 = 2*b, -4*g + 2*b = 5*b - 2. Put 0, 5, g in decreasing order. 5, 0, g Let s = 39 + -40. Put 1, s, 2, -5 in increasing order. -5, s, 1, 2 Let m be 523/15 + (-18)/27. Let f = -69/2 + m. Sort -4, -1/9, f. -4, f, -1/9 Suppose 3*i + 0*i = 3. Put -1, 5, i in increasing order. -1, i, 5 Let z(i) = 4*i + 19. Let n be z(-7). Put 3, n, 4 in descending order. 4, 3, n Let g(z) = -z - 9. Let o be g(-4). Sort 3, 2, o, -2 in decreasing order. 3, 2, -2, o Let a = -0.07 + 5.07. Let k = 7.92 + 0.08. Let q = k - 7.7. Sort a, q, 0.4 in decreasing order. a, 0.4, q Suppose 0 = -5*s - 0 + 20. Suppose s*n = 6*n - 6. Put 2, 5, n in increasing order. 2, n, 5 Suppose 0 = -4*g + 2*g + 32. Suppose -4*w + g = -0*w. Let f = -2 - 0. Sort -3, w, f in descending order. w, f, -3 Suppose -4*k + 0*k = -8. Let b = -2 + 2. Suppose -t - 1 = -b. Sort t, -2, k in ascending order. -2, t, k Let b = 9 + -6. Let r be -4 + b - 34/(-30). Sort r, 2, -0.5. -0.5, r, 2 Let k = 1.3 - 0.3. Let i = 0.44 + -0.64. Sort -3, k, i. -3, i, k Let g be 1 - 5 - (1 - 2). Suppose -4*o - o - 25 = 0. Put o, g, 4 in decreasing order. 4, g, o Suppose -254*g + 250*g = 12. Let y be -1 - (2 - 3/1). Sort -4, g, y. -4, g, y Suppose 0 + 2 = 2*q. Sort q, 3, -5, -2. -5, -2, q, 3 Let t = 0.2 - 0.2. Let d = -3 + t. Let y = -19/15 - -41/35. Sort y, -2, d in increasing order. d, -2, y Suppose r - 147 - 165 = 0. Let n = r - 4058/13. Sort -2, n, -5 in decreasing order. n, -2, -5 Let v(u) = u + 4. Let o be v(-5). Sort o, -0.05, -5 in ascending order. -5, o, -0.05 Let c = 0 + -0.4. Let k = -2 + 0. Put c, 8, k in increasing order. k, c, 8 Let o = -41 + 43. Put o, -0.2, 1, 0.2 in decreasing order. o, 1, 0.2, -0.2 Suppose 24*f - 18 = 21*f. Sort f, 0.5, -2/13 in ascending order. -2/13, 0.5, f Let w = -8 + 15. Let q = -2 + w. Put 4/5, -5, q in ascending order. -5, 4/5, q Let g = 1 + -1.3. Put g, 0.3, 0.4 in increasing order. g, 0.3, 0.4 Let o = -19 - -6. Let s = o - -17. Sort 5, 7, s in decreasing order. 7, 5, s Let f be -7 - (-5 - (0 + -1)). Sort f, -4, -2, 5 in ascending order. -4, f, -2, 5 Let b = -2.8 + -1.2. Let k = 4.9 + 0.1. Put 0.4, b, k in descending order. k, 0.4, b Let v(w) = -w**3 - 6*w**2 + 8*w + 5. Let s be v(-7). Let g be (-1 - 0)*10/s. Suppose -7*i + 2*i = g. Put -3, 4, i in decreasing order. 4, i, -3 Let v = 22 + -17. Sort -7, 0, v in increasing order. -7, 0, v Let n be -1*(-2)/4*0. Sort n, -3, 3 in ascending order. -3, n, 3 Suppose 16 = y - 5*x, -11*y + 6*y - 4*x - 7 = 0. Let n be 2*-2*(-1)/(-4). Put 2, n, y in descending order. 2, y, n Let w be 18/(-4) - 3/(-6). Let h be 6/18*(-3)/4. Let u = -0.01 + -2.99. Put w, u, h in increasing order. w, u, h Let w = -2 - -2. Let y = 0.82 + 4.13. Let u = -0.05 - y. Put u, w, -2/19 in descending order. w, -2/19, u Let w = 4 + -7. Let q be (-2)/(-24)*3*6. Sort w, q, 2/7. w, 2/7, q Let m be 4/18 - (-58)/(-18)*1. Let n be 2 + 4*-1 - -2. Suppose n = k - 2*z + 1, -5*k + 2*k - 3 = 4*z. Put -2, m, k in descending order. k, -2, m Let x be (-3)/(-9) - 2/(-3). Let k = -5 + 5.1. Sort k, -5, x in increasing order. -5, k, x Let t(f) = 4*f - 3. Let u be t(2). Suppose -u*i + i + 96 = 0. Suppose -5*r + i = -d - 0*d, -4*r = -4*d - 16. Put r, 2, 0 in increasing order. 0, 2, r Suppose 2*t + 3*o + 5 = -7, -5*t + 12 = -3*o. Let s = t - 3. Sort 3, 0, s in descending order. 3, 0, s Let o = 26.1 + -26. Let k = -0.31 + 0.3. Let t = k + 5.01. Put t, -0.1, o in ascending order. -0.1, o, t Let h = 9.87 + 0.13. Let b = h + -10.4. Put b, -4, -2 in increasing order. -4, -2, b Let y = -2/131 - -137/393. Sort -4, 3, y in ascending order. -4, y, 3 Let s = -0.88 + 5.88. Put -2/9, s, -2 in ascending order. -2, -2/9, s Let k = 1 + -1.7. Put -0.5, -4, k in descending order. -0.5, k, -4 Let m be 7/4 - (-6)/24. Suppose 0*z + z = m. Sort -3/4, 0.5, z in increasing order. -3/4, 0.5, z Let m = 0.02 - 0.02. Let x = m - 0.1. Suppose -5*q + 24 + 1 = 0. Put x, q, 0.3 in decreasing order. q, 0.3, x Let o be -1 + 1 - -2 - -3. Suppose -16 = o*s - s. Suppose -4*w + 5*z + 6 + 26 = 0, -3*w = 2*z - 24. Sort s, w, 1 in increasing order. s, 1, w Let y = 0.189 - -0.011. Sort 4/5, -1/4, y, 2/7. -1/4, y, 2/7, 4/5 Let m = 17 + -26. Let o = m + 10. Sort 4, -1, o in descending order. 4, o, -1 Let w = -79 - -79. Put w, 1, -4 in ascending order. -4, w, 1 Let s = 17.07 - 17. Let m = -1.07 + s. Let d = -8.8 - -9. Put 1, m, d in decreasing order. 1, d, m Suppose t = -4*o + 20, 5*t - 2*o + 20 = 2*o. Let z = 10/203 + 34569/11165. Let u = 28/11 - z. Sort u, 1/4, t in descending order. 1/4, t, u Let q = -3 - -2. Let b(t) = -2*t**3 - 3*t**2 + t + 2. Let i be b(-2). Suppose 2*l - 2 = 4. Sort l, i, q in descending order. i, l, q Let o(b) = -2*b - 4. Let c be o(0). Suppose -6 = 4*w - w. Sort c, -3, w in decreasing order. w, -3, c Let i(m) = -m + 8. Let v be i(6). Let z be 2/v*2/15. Let h = -1189/136 - -69/8. Sort 1/3, z, h. h, z, 1/3 Let o(k) = -k**3 - 6*k**2 + 2*k + 8. Let y be o(-6). Let n be (-1)/(-3)*(2 + 1). Let f(c) = 3*c + 7. Let a be f(-4). Sort y, a, n. a, y, n Let l be (-7)/(-5 + -9) - (-10)/4. Let i(c) = -c + 7. Let h be i(5). Sort -2, l, h in increasing order. -2, h, l Suppose 3*m = -2*m + 25. Suppose -m*n - 6 = b, -5 = 4*n + 2*b - b. Sort n, 4, 5. n, 4, 5 Let p = -2/159 - -36/53. Sort 1/2, p, -2/7, 11. -2/7, 1/2, p, 11 Let n(k) = -k**2 + 3*k - 3. Let m be n(2).
{ "pile_set_name": "DM Mathematics" }
6 * -0.006 -2943.996 Work out -1622 * -13011. 21103842 What is -26.08 times 1052? -27436.16 674 times 123 82902 Multiply -139.5 and -295068. 41161986 What is -12642460 times 4? -50569840 Calculate 6943*302. 2096786 What is -1496566 times 213? -318768558 0.3 * 0.4337478 0.13012434 -18.29 times -53808 984148.32 -8.3 times -1057.2759 8775.38997 What is -3 times -16077775? 48233325 What is 1.8 times 1068759? 1923766.2 What is -1.4580742 times -1? 1.4580742 Multiply 937.9 and -0.0392. -36.76568 Calculate -20017047*2. -40034094 Multiply -2.2 and -69210820. 152263804 Product of -0.19804 and 366. -72.48264 92.20677*0.04 3.6882708 What is -42 times -348? 14616 What is the product of 2.3 and 0.230569? 0.5303087 -1*2612956 -2612956 What is -2.066 times 2374? -4904.684 25421087 * 33 838895871 Work out 504 * 1.21148. 610.58592 Multiply -0.2145681 and -107. 22.9587867 -250.2 times 641 -160378.2 Work out -0.1164627 * -44. 5.1243588 What is the product of -166366 and -0.84? 139747.44 What is -302087.45 times -0.5? 151043.725 269*-141676 -38110844 3*2758791 8276373 Product of -296 and 163394. -48364624 10404.145 * 1 10404.145 What is the product of -1.6 and -107591? 172145.6 Work out -50312 * 10.27. -516704.24 -601609*-79 47527111 Work out -4041460 * 0.6. -2424876 What is the product of -506 and 23029? -11652674 Product of -22 and -125676. 2764872 What is 0.1 times -0.1245851? -0.01245851 5200*-33623 -174839600 What is -5 times 392825.72? -1964128.6 Multiply -3803 and -6.2285. 23686.9855 Calculate 58226*990. 57643740 -204.0714*-18 3673.2852 Work out -128627.7 * 1. -128627.7 12240.8*776 9498860.8 What is the product of -1.4495424 and 0.2? -0.28990848 What is -1194339473 times 0.5? -597169736.5 -3.789218 times -26 98.519668 -15416.295 times -2 30832.59 Product of -42244 and -113.6. 4798918.4 2181 times -1218 -2656458 4 * -1535.927 -6143.708 Work out 0.51214 * -78.01. -39.9520414 What is the product of 0.7 and 40795763? 28557034.1 Multiply 68 and 222. 15096 Multiply -24.4 and 16729. -408187.6 What is 81.0999 times -5? -405.4995 5188752*0.4 2075500.8 Calculate 0.5*-164832.422. -82416.211 Work out -5 * 79884. -399420 What is 369 times -100307? -37013283 Work out -0.01 * 13840.15. -138.4015 Calculate -4.549*-36.4. 165.5836 Calculate 3835204*3. 11505612 Multiply -22.418 and -0.5. 11.209 What is the product of -6 and -16788009? 100728054 1751160 times 106 185622960 What is the product of 0.01280688 and 0.4? 0.005122752 19591882 times 5 97959410 Work out -86444.9 * 0.3. -25933.47 Work out -0.4 * 267195.9. -106878.36 Work out 0.29 * 6.281373. 1.82159817 0.1013879*0.91 0.092262989 Calculate 2654*99300. 263542200 Calculate 18805*62.7. 1179073.5 Product of 4215257 and 0.4. 1686102.8 Work out 1648 * 12784. 21068032 What is the product of -2.6 and -139986? 363963.6 Multiply 878.3 and -649. -570016.7 What is the product of 3 and -0.32753993? -0.98261979 0.3 times 173551 52065.3 Product of -0.147768 and 32. -4.728576 Product of -4.2009 and -1.79. 7.519611 Work out 40.12 * -11182. -448621.84 What is the product of -437 and 14.3984? -6292.1008 Calculate -3.34737*106. -354.82122 What is 4585552 times 4? 18342208 Calculate 1.1393517*0.05. 0.056967585 What is the product of 16487 and 0.0051? 84.0837 Calculate -14370306*0.3. -4311091.8 What is the product of -35 and 317016? -11095560 Calculate 106*-0.075858. -8.040948 Calculate 12.848*-5162. -66321.376 Work out -169398 * -0.52. 88086.96 Work out -163756 * 0.1. -16375.6 0.8825*3127 2759.5775 -0.2 times 0.01206088 -0.002412176 -0.5*-24.086189 12.0430945 1419 times -78.093 -110813.967 What is -0.019 times -123.29? 2.34251 -0.2*5314152 -1062830.4 Product of -204.34 and 0.184. -37.59856 Calculate 552*-554.7. -306194.4 What is -79781 times -2.15? 171529.15 -2936.2 * 0.13 -381.706 Multiply 12537 and -0.4423. -5545.1151 546.8921 times 0.01 5.468921 -96238*-143 13762034 5824400 times -3 -17473200 Multiply 114 and -25840. -2945760 Calculate 1033207*-6. -6199242 Product of -0.1 and 5922734. -592273.4 -21143*1.506 -31841.358 Multiply 107260 and -1.25. -134075 3863297 times -0.1 -386329.7 Product of 1.2 and 53.821962. 64.5863544 Multiply -90 and -563.6505. 50728.545 Calculate -3855*-1.8144. 6994.512 -27 * -10755.5 290398.5 Multiply -80 and 1793582. -143486560 What is the product of -7.1 and 0.06844? -0.485924 Calculate 137.22174*0.5. 68.61087 -8287711 times -0.6 4972626.6 Multiply -103 and 9501. -978603 What is the product of -7 and 11316.3? -79214.1 Work out -6860677 * 0. 0 Product of 0.4412 and -281.2. -124.06544 Product of -5 and -4118.75. 20593.75 Multiply -0.12 and -323.92. 38.8704 Calculate -0.5*-6381403. 3190701.5 Calculate -404*80759. -32626636 -5 times -2679287 13396435 Multiply -1.140957 and 1. -1.140957 -2.09*-129183 269992.47 -133967*-3 401901 -3 times 180.4058 -541.2174 What is the product of -7068388 and 0.19? -1342993.72 0.2*18.2742 3.65484 Product of -4 and 0.00901863. -0.03607452 -0.451854058 times 0 0 Calculate 0.256366*-391. -100.239106 50019103 * -0.5 -25009551.5 -674 * 12967.3 -8739960.2 What is the product of 7.78 and 28408? 221014.24 4 * 1.4609224 5.8436896 Calculate 0.044968*1. 0.044968 What is -59844.87 times 0.3? -17953.461 Work out -4538.5 * 19.08. -86594.58 Work out -66 * -47.0177. 3103.1682 What is the product of 881255 and -13? -11456315 Multiply 28316 and -2866. -81153656 What is -0.5 times -14671544? 7335772 What is the product of -1676800 and -0.1? 167680 What is -50328 times -0.015? 754.92 Calculate -2.1566*-704. 1518.2464 Multiply 3816 and -63.509. -242350.344 31969152 * 4 127876608 Work out 0.31 * 4690. 1453.9 Calculate 553859757*-0.2. -110771951.4 Multiply 0.2 and -39940.2. -7988.04 120113 times 88 10569944 8*-351615.78 -2812926.24 -421639*-160 67462240 -0.21 * -0.480051 0.10081071 What is 0.1 times -7828055? -782805.5 Work out -101820 * 50. -5091000 Product of -38940104 and 3. -116820312 What is the product of -171 and -1468.56? 251123.76 What is the product of 1.08596 and -415? -450.6734 What is the product of -39.9 and -345722? 13794307.8 0.07 * -16773489 -1174144.23 Work out -2 * 975586. -1951172 Calculate 0.02*-189046. -3780.92 0.3*90.8974 27.26922 Work out -0.04 * -20678708. 827148.32 Multiply -7256428 and -0.3. 2176928.4 Calculate 0.743*38.78. 28.81354 Product of -2.2 and -37033.491. 81473.6802 Multiply 0.5 and -21118937. -10559468.5 Multiply -59 and 309402. -18254718 What is 1635200 times 1.1? 1798720 What is the product of 193965 and 21? 4073265 Multiply 29 and 89926. 2607854 What is 0.4 times 97631.814? 39052.7256 Multiply -262452 and -0.38. 99731.76 Work out 1 * 1862.5473. 1862.5473 What is 27.9323 times 0.296? 8.2679608 Calculate -44399*6.3. -279713.7 Calculate 113*1397223. 157886199 What is 3 times 0.0834952? 0.2504856 Calculate -0.1*-170533987. 17053398.7 Calculate 37*37484.99. 1386944.63 What is -247629 times 12.6? -3120125.4 Work out -540530 * -74.5. 40269485 52044.8 times -31 -1613388.8 Multiply 9671085 and -3. -29013255 Work out -0.01397 * 189. -2.64033 What is the product of 0.05008 and -99316? -4973.74528 Multiply -0.18 and -483803. 87084.54 What is the product of -0.2090616 and 0.01? -0.002090616 Product of -4.441 and -24504. 108822.264 Work out -3303399 * 0.4. -1321359.6 0.5*90779870 45389935 Multiply 69 and 18.792. 1296.648 What is the product of 36200993 and -3? -108602979 1506571 times 321 483609291 Work out 1.7532956 * -0.5. -0.8766478 Work out -20067.25 * 55.8. -1119752.55 What is the product of 0.2932 and -0.26067? -0.076428444 Calculate 0.0463*0.0289743. 0.00134151009 What is the product of 2 and 2270789? 4541578 Calculate -201544*13.8. -2781307.2 -178449839*-0.5 89224919.5 Product of 6.9 and 3732036. 25751048.4 Calculate 0.364072*0.088. 0.032038336 Calculate 4*-10367811. -41471244 Multiply -668 and -252450.3. 168636800.4 0.4095 times -19.2 -7.8624 -5781 times 27732 -160318692 What is 835179406 times -2? -1670358812 -2082*-12415 25848030 -79*-6843854 540664466 -470906 * 1.028 -484091.368 0.038 * -11225 -426.55 Multiply 25180048 and -0.8. -20144038.4 21270 times 7207 153292890 0 times 3086872 0 What is 1684 times 13.488? 22713.792 Multiply 186462188 and 2. 372924376 Calculate -0.17338*84.1. -14.581258 What is the product of -527 and 0.02439? -12.85353 What is 0.53 times -10940
{ "pile_set_name": "DM Mathematics" }
(f) = n*l(f) - 120*v(f). Give p(o(g)). 30*g**2 Let t(q) = -5*q - 225. Let m(h) = -9. Let y(x) = 25*m(x) - t(x). Let r(z) = 542*z**2 - 2. What is r(y(f))? 13550*f**2 - 2 Let z(c) = -11*c. Let g(p) = 108*p - 32 - 203*p + 0 + 103*p. Determine z(g(m)). -88*m + 352 Let r = 12 + -12. Let s(c) = 73*c + 0 + r - 74*c. Let n(a) = -3*a. Let b(f) = 2*f. Let k(w) = 5*b(w) + 3*n(w). What is k(s(i))? -i Let t(f) = 1669*f - 578. Let s(z) = -6*z**2. Determine t(s(d)). -10014*d**2 - 578 Let n(v) = -4*v + 5. Let y(d) = -1223*d**2. Calculate n(y(f)). 4892*f**2 + 5 Let r(m) be the second derivative of m**4/4 + 12*m - 3. Let z(u) = 2 - 2 - 4*u - 58*u. Calculate z(r(t)). -186*t**2 Let b(u) = -47 - 3*u**2 + 138 + 8*u**2 - 40 - 44. Let g(a) = 3*a**2. Determine g(b(k)). 75*k**4 + 210*k**2 + 147 Let i(b) = 110*b**2. Let n(a) = -11*a + 148. Calculate n(i(j)). -1210*j**2 + 148 Let s(j) = -6*j + 15 + 8*j + 17. Let p(f) be the second derivative of f**3/6 + 740*f. What is p(s(x))? 2*x + 32 Let b(d) = -6*d + 15. Let p(f) = -f**2 - 20*f + 50. Let c(y) = -10*b(y) + 3*p(y). Let m(w) = -14*w + 2. Give c(m(o)). -588*o**2 + 168*o - 12 Let v(q) = -477 + 2*q**2 + 955 - 478 - 4*q**2. Let r(k) be the third derivative of -61*k**5/30 - k**2. What is r(v(y))? -488*y**4 Let n(p) be the second derivative of -89*p**4/12 + 7*p. Let g(b) = -18*b - 3*b + 7*b + 12*b. Determine n(g(m)). -356*m**2 Let l(h) = -28*h - 1. Let u(s) = -222*s - 8. Let j(a) = 24*l(a) - 3*u(a). Let q(c) = -32*c + 6. Calculate j(q(z)). 192*z - 36 Let m be (-134 + -3 + -1)*1/(-3). Let r(c) = -m*c - 36*c + 81*c. Let h(o) = o + 65. Calculate r(h(k)). -k - 65 Let w(v) be the first derivative of v**3/3 + 2420. Let h(i) = -65*i**2 + 6*i + 2. Calculate h(w(t)). -65*t**4 + 6*t**2 + 2 Let y(c) = -48*c - 48855. Let u(t) = 3*t. Determine y(u(g)). -144*g - 48855 Let f(w) be the second derivative of w**4/6 - 93*w**2/2 + 3*w + 102. Let b(j) = -9*j. Calculate f(b(p)). 162*p**2 - 93 Let l(f) = -61*f**2. Let p(x) = -136102*x. Give p(l(r)). 8302222*r**2 Let k(t) = 14*t**2. Let x(b) = -140*b + 4 + 41*b - 4 - 3*b. Determine k(x(v)). 145656*v**2 Let j(d) = 297*d**2. Let p(f) = -268466*f**2. Determine j(p(c)). 21405975967332*c**4 Let u(x) = 215*x. Let o(c) be the second derivative of -5*c**3/6 - c**2 + 9964*c. Give o(u(l)). -1075*l - 2 Let g(v) = -v**2 + v. Let j(q) = -2 - 12*q + 16*q**2 + 1 + 1. Let x(r) = -24*g(r) - 2*j(r). Let f(y) = 94*y**2 + 90*y**2 + 91*y**2 - 277*y**2. What is f(x(n))? -128*n**4 Let q(a) = -127*a. Let b(l) = -l**2 + 4*l - 1800. Give b(q(u)). -16129*u**2 - 508*u - 1800 Let o(j) = 13*j. Let s(w) = -189*w. Let m(x) = 72*o(x) + 5*s(x). Let y(a) be the second derivative of -5*a**4/6 + 19*a - 7. Give m(y(r)). 90*r**2 Let h(k) = 3*k**2. Let l(b) = 12*b**2 + 2*b - 24*b**2 - 23*b**2 + 36*b**2 - 22*b. Calculate l(h(q)). 9*q**4 - 60*q**2 Let d(z) = 2*z + 12. Let q(t) be the first derivative of -4*t**3/3 - 9*t**2/2 - 1730. Calculate q(d(x)). -16*x**2 - 210*x - 684 Let d(o) = -o. Let l = -4838 + 4838. Let r(v) be the third derivative of -8*v**2 + 0*v + 0*v**4 + l + 0*v**3 + 11/15*v**5. Determine d(r(y)). -44*y**2 Let v(c) = 1548*c. Let x(q) = -12466*q. Give x(v(w)). -19297368*w Let y(h) = 4*h**2. Let s(w) = 9*w**2 + 19402. Calculate s(y(z)). 144*z**4 + 19402 Let z(v) = -2*v**2 + v - 12406882. Let q(t) = 10*t. What is q(z(c))? -20*c**2 + 10*c - 124068820 Let x(w) = 20*w**2. Let b(i) be the second derivative of -1 - 34*i + 0*i**3 + 0*i**2 + 7/12*i**4. Determine b(x(s)). 2800*s**4 Let f(i) = 578*i**2 + 3774*i**2 + 156*i**2 - 1 + 1. Let n(b) = -2*b**2. Calculate f(n(y)). 18032*y**4 Let a(d) be the second derivative of 0*d**3 + 0*d**2 + 2*d + 4 + 7/3*d**4. Let z(m) = 7*m. Calculate z(a(g)). 196*g**2 Let b(w) = -5368*w**2 + 183*w. Let s(h) = 59*h**2 - 2*h. Let r(d) = 2*b(d) + 183*s(d). Let t(v) be the first derivative of v**3 - 344. Give t(r(o)). 11163*o**4 Let r(u) = 26*u. Let z(i) = -3*i**2 + 66*i + 8. Let s(n) = 2*n**2 - 42*n - 5. Let q(y) = 8*s(y) + 5*z(y). Determine r(q(k)). 26*k**2 - 156*k Let d(w) = 67*w**2. Let q(s) = -4*s**2 - 13*s. Suppose -20*c = -13*c - 182. Let y(a) = a**2 + 3*a. Let u(g) = c*y(g) + 6*q(g). Determine u(d(p)). 8978*p**4 Let q(l) be the first derivative of l**3/3 - 89. Let u(o) = -187*o - 6. Let i(s) = -3366*s - 110. Let j(r) = 3*i(r) - 55*u(r). Calculate q(j(z)). 34969*z**2 Let r(d) = -121*d. Let s(f) be the third derivative of f**5/60 - 2*f**2 - 114*f + 6. Calculate s(r(z)). 14641*z**2 Let o(c) = -344*c. Let q(b) = -6*b**2 - 2*b + 6. Let p(k) = 32*k - 68*k + 41*k**2 - 9*k**2 - 33 + 47*k. Let g(l) = 2*p(l) + 11*q(l). Calculate o(g(z)). 688*z**2 Let c(o) = -4186574*o. Let w(z) = 6*z**2 - 1. Give c(w(i)). -25119444*i**2 + 4186574 Let n(t) be the third derivative of -7*t**5/20 + t**2 - 621. Let q(x) = 26*x**2. Determine n(q(z)). -14196*z**4 Let d(u) = -45*u**2 - 312*u. Let o(h) = -9*h + 1. Calculate o(d(b)). 405*b**2 + 2808*b + 1 Let g(r) = 2*r + 2. Let i(q) = 2*q + 2. Let o be i(0). Let y(j) = 2*j + 3. Let f(c) = o*y(c) - 3*g(c). Let t(k) = 120*k - 1. Determine f(t(d)). -240*d + 2 Let r(h) be the third derivative of 11*h**2 + 0 + 1/12*h**4 + 0*h**3 + 0*h. Let w(m) = 154*m**2 + m. Determine w(r(f)). 616*f**2 + 2*f Let f(x) = -6*x + 2. Let m(g) be the second derivative of -g**4 - 960*g. Give f(m(z)). 72*z**2 + 2 Let h(t) = -53270780*t. Let b(l) = 6*l**2. Calculate h(b(y)). -319624680*y**2 Let r(i) = 2*i. Let j(o) = 71319799*o. Determine r(j(g)). 142639598*g Let j(v) = 760*v + 766*v + 295*v + 238*v - 371*v. Let p(l) = -l**2. Give p(j(b)). -2849344*b**2 Let f(q) = -10*q. Let r(j) = 222*j - 653*j + 75 + 209*j + 221*j. What is f(r(v))? 10*v - 750 Let m(b) = -b. Let q(a) be the first derivative of -a**2/2 + 184*a - 1583. Give m(q(k)). k - 184 Let g(b) = 1004*b**2 + 184*b. Let f(n) = -363*n + 2. Give f(g(l)). -364452*l**2 - 66792*l + 2 Let p(n) = -20*n**2. Let v(f) = -38 - 23*f**2 + 42 - 4. Give p(v(q)). -10580*q**4 Let s(y) = -2*y**2. Let d(i) be the third derivative of 143*i**5/30 - 632*i**2. Determine s(d(p)). -163592*p**4 Let l(p) = 2597892 - 2597892 + 2*p**2. Let q(m) = 0 + 2 + 2 - 17*m. Let x(n) = 16*n - 3. Let j(b) = -3*q(b) - 4*x(b). Give l(j(i)). 338*i**2 Let n(v) = -12*v**2. Let b(x) be the second derivative of -x + 0*x**2 - 1/12*x**4 + 0*x**3 - 11. Determine b(n(y)). -144*y**4 Let t(u) be the third derivative of -3251*u**5/60 + 3*u**2 + u - 544. Let x(g) = g. Determine t(x(v)). -3251*v**2 Let n(z) = -99*z**2. Let l(p) = 58*p - 35. Let y(k) = -29*k + 21. Let a(h) = 3*l(h) + 5*y(h). Give n(a(u)). -83259*u**2 Let o(n) = -n**2 + 1295*n - 10. Let c(a) = 22 - 2 - 34 + a + 14. Determine o(c(g)). -g**2 + 1295*g - 10 Let g(b) = -21*b**2 + 41*b + 26. Let f(p) = -10*p**2 + 19*p + 12. Let r(s) = -13*f(s) + 6*g(s). Let y(d) = -2*d + 135 - 135. Determine r(y(x)). 16*x**2 + 2*x Let o(i) = i**2 - 3*i. Let n(a) = -2986*a. Determine n(o(z)). -2986*z**2 + 8958*z Let i(g) = g**2 - g + 10. Let j(z) = -11*z**2 + 9*z - 90. Let w(y) = 9*i(y) + j(y). Let m(b) = -150*b - 8. Give w(m(d)). -45000*d**2 - 4800*d - 128 Let y(p) = -153*p + 1. Let s(t) be the third derivative of -t**7/5040 - 14*t**5/15 + 8*t**2 + 3*t. Let c(r) be the third derivative of s(r). What is y(c(u))? 153*u + 1 Let u(p) = -p. Let s(x) = -488*x + 141. Let b(q) = 316*q - 70. Let t(v) = -5*b(v) - 3*s(v). Determine t(u(y)). 116*y - 73 Let d(a) = 12*a**2. Let u(c) be the first derivative of c**4/12 - 30*c**2 - 56. Let t(w) be the second derivative of u(w). Calculate t(d(k)). 24*k**2 Let k(l) = l**2. Let t(g) = -60912029*g. Calculate t(k(r)). -60912029*r**2 Let s(q) = 6*q. Let r(c) = -c + 1. Let f(u) be the third derivative of 3*u**4/8 - 3*u**3 - 20*u**2 + 4. Let t(x) = f(x) + 18*r(x). What is t(s(v))? -54*v Let d = -3/1766 + 11922/883. Let q(t) be the first derivative of 0*t + 25 - d*t**2. Let i(k) = 2*k. Give i(q(l)). -54*l Let u(d) = 15*d - 2. Let i(f) = -2*f - 16630. Determine i(u(s)). -30*s - 16626 Let i(g) = 2*g. Let r(b) be the third derivative of 4*b**2 + 2 + 0*b**4 + 0*b**3 - 13/60*b**5 + 0*b. Give i(r(q)). -26*q**2 Let q(a) be the second derivative of -a**4/4 + 28*a - 2. Let b(f) = 9153*f. Let x(o) = 150*o. Let y(j) = 4*b(j) - 243*x(j). Give y(q(m)). -486*m**2 Let d(t) = -2619620*t + 2619620*t - 3*t**2. Let m(p) = 318*p**2. Give m(d(r)). 2862*r**4 Let u(d) =
{ "pile_set_name": "DM Mathematics" }
mainder when x(1) is divided by 10? 9 Let v = 27 + -73. Suppose -82*o = -86*o + 284. Let a = v + o. What is the remainder when 74 is divided by a? 24 Let i be 2/6*-8*-3. Let d = 11 - i. What is the remainder when 4 is divided by d? 1 Let x = -13 - -29. Let z(i) = 8*i**2 - i - 3. Calculate the remainder when z(-2) is divided by x. 15 Let r(y) = 61*y - 2. Let g be r(2). Suppose -6*m = -m - g. Calculate the remainder when m is divided by 9. 6 Let w(s) = 2*s**2 - 3*s + 1. Let u be w(2). Suppose -43 = -4*v - 3*p, -5*v + v + u*p + 13 = 0. What is the remainder when v is divided by 2/5 + (-26)/(-10)? 1 Suppose 5*o = 5 + 35. Let b(y) = 2*y + 3. What is the remainder when 35 is divided by b(o)? 16 Suppose -2*y + 3*y + 10 = -5*g, g - 19 = 4*y. What is the remainder when (44 - -1) + (-5)/y is divided by 24? 22 Let j = -33 - -47. What is the remainder when 54 is divided by j? 12 Let f(x) = -x**2 + 6*x. Let k be f(6). Suppose 4*g - 4*b - 88 = 0, 2*g + k*b - 3*b - 39 = 0. What is the remainder when g is divided by 14? 13 Suppose 0 = 4*y + 4*b + 692, 2*b = -4*y - 3*b - 695. Let p = 100 + y. Let l = p - -116. What is the remainder when l is divided by 16? 14 Let f(l) = -6*l - 18. Suppose -3*o + 74 + 25 = 0. Calculate the remainder when o is divided by f(-6). 15 Suppose -2*l = -4*l + 24. Suppose d - l = -3*d, j + 3*d - 19 = 0. Let y = j - 5. What is the remainder when y is divided by 4? 1 Let f = 171 - 87. What is the remainder when f is divided by 29? 26 Let t = -9 - -20. Let h = -6 - -10. Calculate the remainder when t is divided by h. 3 Suppose -20 = -4*o - 5*u + 5, -5*o + 5*u - 25 = 0. Suppose 4*c + 2*h - 46 = 0, o = -3*c - 5*h + 2*h + 39. Calculate the remainder when 19 is divided by c. 9 Suppose 0 = a + 1 - 9. Suppose -43 = -j - 5*f, 0*f = 5*j + 3*f - 127. Calculate the remainder when j is divided by a. 7 Suppose -h + 3*h - 8 = 0. Suppose -h*r + 10*r = 78. What is the remainder when 38 is divided by r? 12 Suppose 0 = 2*l - 114 - 10. Suppose -5*p + l + 13 = 0. Suppose 0 = z - 1 - 7. What is the remainder when p is divided by z? 7 Let f = -53 + 120. Let x(z) = 5*z + 52. Calculate the remainder when f is divided by x(-7). 16 What is the remainder when 2424/18 + 2/(-3) is divided by 34? 32 Let o = -10 + 13. Suppose -o + 65 = 2*a. Calculate the remainder when a is divided by 11. 9 Suppose -l = -10*l + 45. Calculate the remainder when 38 is divided by l. 3 Suppose -5*x - 27 = -d, 21 = 4*d - d - 3*x. Let t be d/3*(-2 + 35). Suppose -2*f - 2 + t = 0. What is the remainder when 18 is divided by f? 8 Suppose 0 = -0*s - s + 5. Suppose -o - s*b - 18 = o, -3*o + b = -7. Calculate the remainder when (8 - -2)/(o + 1) is divided by 2. 1 Let d = -10 - -21. Let m = -52 - 10. What is the remainder when (3/6)/((-1)/m) is divided by d? 9 Calculate the remainder when 33 is divided by (-6)/(-2 - -1) - -3. 6 Suppose 0*j - 28 = -j. Calculate the remainder when 82 is divided by j. 26 Suppose 2 = -2*p + 26. Calculate the remainder when (-44)/(-2) - (-2)/(-2) is divided by p. 9 Suppose -o - 1 - 1 = 0, 0 = -5*f - 4*o - 3. Suppose r - 2*r = f. Let p = 6 - r. Calculate the remainder when 19 is divided by p. 5 Let m(i) = -6*i**2 + 7 + i**3 + i - i. Let w(g) = 2*g - 1. Calculate the remainder when m(6) is divided by w(2). 1 Suppose 1 = b - 2. Let p(s) = -10*s + 3. Let u be p(b). Calculate the remainder when u/(-33) + 4/22 is divided by 1. 0 Suppose -1 - 3 = -2*g. Suppose 4*u + 8 = 3*w + w, -w - 2*u + 5 = 0. What is the remainder when w is divided by g? 1 Suppose 302 - 18 = 4*s - 4*l, 3*l = -2*s + 157. Calculate the remainder when s is divided by 25. 24 Let b(f) be the first derivative of f + 6 + 4*f**2 + 0*f**2 + 3*f - 3. What is the remainder when b(3) is divided by 15? 13 Suppose -4*y + 84 = 4*o, -3*y = -3*o - 2*o + 65. Let v(t) = -t**2 - t - 1. Let q be v(0). What is the remainder when o is divided by 0 - (q - 2)*2? 4 Suppose a - 5 = 9. Calculate the remainder when 53 is divided by a. 11 Let h = 25 - -28. Calculate the remainder when h is divided by 27. 26 Let r be -2 - ((-4)/(-2))/(-2). Let o = r + 4. Calculate the remainder when -4 + -1 + o - -5 is divided by 2. 1 Let c = -92 + 130. What is the remainder when 70 is divided by c? 32 Let k(b) = -b**3 + 12*b**2 - 17*b - 13. What is the remainder when 65 is divided by k(10)? 14 Let q(y) = y - 2. Let r be q(6). Let o be 112/(-4)*(-3)/6. What is the remainder when r/(8/o)*1 is divided by 3? 1 Let a(t) = 3*t**2 - t + 1. Let l = 16 - 11. Suppose -l*h = -115 + 35. What is the remainder when a(-3) is divided by h? 15 Suppose -1 + 5 = c. Calculate the remainder when 10 is divided by c. 2 Suppose 5*r - 10*r = -20. Suppose -3*v = r*k + 49 - 248, -3*v - 46 = -k. Suppose -3*i + 52 = 1. What is the remainder when k is divided by i? 15 Suppose 4*x - 5 + 45 = 0. Let n = x - -16. Let w(u) = u**3 - 7*u**2 + 8*u. Calculate the remainder when w(n) is divided by 7. 5 Suppose 5*m - 2*p - 89 = 0, -2*m - p + 2*p + 36 = 0. Suppose 3*t = t - 3*j - 21, -3*t + 5*j - 79 = 0. What is the remainder when m is divided by t/15*(0 - 5)? 5 Let l be 81/18 + (-1)/(-2). Suppose -l*c = -c - 32. Calculate the remainder when c is divided by 3. 2 Let j(y) = -4*y**3 + 2*y + 1. Let l be j(-1). Suppose -4*p = -l*s - 0*p + 9, 4*s - 25 = p. What is the remainder when s is divided by 1 - 2 - (-5 + 1)? 1 Suppose -5*q + 84 + 101 = 0. Calculate the remainder when q is divided by 14. 9 Suppose 3*g + 3*b + 1 = -20, 4*g + 25 = -3*b. Let q = 7 + g. Calculate the remainder when 4 is divided by q. 1 Suppose 40*v = 39*v + 34. Calculate the remainder when 67 is divided by v. 33 Let l(n) = -n - 4. Let s be l(-4). Let w = s - 6. Calculate the remainder when 4 is divided by (-32)/(-14) - w/(-21). 0 Suppose 48 = 2*x + 2. Calculate the remainder when 90 is divided by x. 21 Let l = 179 - 117. Suppose -3*o + 74 = 4*h - 0*o, l = 4*h - 3*o. Suppose -48 = -i - 0*i. What is the remainder when i is divided by h? 14 Suppose n + 4*i - 4 = 0, 7*i + 25 = 2*i. What is the remainder when 90 is divided by n? 18 Suppose 1106 = 4*w - 674. Calculate the remainder when w is divided by 56. 53 Suppose 5*f - 238 = -73. Calculate the remainder when f is divided by 7. 5 Let f = 16 + -11. Suppose 0 = -4*n - n + f. What is the remainder when 6 is divided by 1/(n/4) - 0? 2 Suppose -q - w + 115 = w, -2*w - 2 = 0. What is the remainder when q is divided by 40? 37 Suppose -83 = -4*o + h - 6*h, 0 = -h + 3. Suppose 340 = 9*j - 236. Calculate the remainder when j is divided by o. 13 Suppose -5*r + 40 + 20 = 0. Calculate the remainder when 22 is divided by r. 10 Suppose -3 - 3 = -k. Calculate the remainder when (k + 2 - -2)/2 is divided by 4. 1 Calculate the remainder when (-1620)/(-42) - (-20)/(-35) is divided by 1/4 - (-78)/8. 8 Suppose 1 = 4*p - 15. Let a = p - 1. Calculate the remainder when 7 is divided by a. 1 Suppose 0 = l - 2*l - 30. Let a = -19 - l. Calculate the remainder when 32 is divided by a. 10 Suppose 3*k + 2*v = 127, -v - 71 - 50 = -3*k. What is the remainder when k is divided by 11? 8 Let c = -1 + 4. Calculate the remainder when 11 is divided by ((-8)/c)/4*-6. 3 Suppose -5*l = -27 + 2. Suppose 92 = 3*d + l*j, 0 = -4*d + 2*j + 3*j + 76. What is the remainder when d is divided by 13? 11 Let b = 29 - 17. Calculate the remainder when 46 is divided by b. 10 Suppose 2*y = 4*v + 48, 3 = -4*v + 11. Let f be (102 + -3)/((-6)/(-4)). Calculate the remainder when y is divided by (-12)/f + (-112)/(-11). 8 Let a = -9 - -13. Calculate the remainder when 17 is divided by a. 1 Let s(t) = 10*t - 1. Let k be s(1). Let y = 34 - k. What is the remainder when 123 is divided by y? 23 Let w be ((-32)/6)/(-2)*-3. Let x be ((-6)/(-5))/(w/(-60)). Let n = 16 - x. Calculate the remainder when 20 is divided by n. 6 Let z(r) = 2*r**3 + 2*r**2 - r - 3. Let n be z(-3). Let q = 59 + n. Calculate the remainder when 44 is divided by q. 21 Let g(u) = -65*u. Let w be g(-1). Let y = w + -39. Calculate the remainder when y is divided by 7. 5 Let d(a) be the second derivative of a**3/6 + 12*a**2 - a. Calculate the remainder when d(0) is divided by 32/2*1 + -3. 11 Suppose 0 = 2*t + k, k + 0*k + 2 = -t. Suppose 3*l - 45 = -4*z + 3, 0 = -t*z - 2*l + 24. Suppose s + 3*s = 88. Calculate the remainder when s is divided by z. 10 Let x = -4 + 17. Suppose
{ "pile_set_name": "DM Mathematics" }
**3 + 0 + 6/5*d = 0. 0, 1, 2 Let m = -522 + 524. Let g be (8 - 0)/(3*m/3). Solve -1/2 + 4*l**g - l**3 - 7/2*l**2 + 11/4*l - 7/4*l**5 = 0. -1, 2/7, 1 Solve 35*h**3 + 49*h - 258*h**4 - 41*h - 38*h + 208*h**4 + 55*h**2 = 0 for h. -1, 0, 1/2, 6/5 Let m(z) be the second derivative of -48/7*z**2 - 38/3*z**4 + 4*z - 4 - 7/5*z**5 + 328/21*z**3. Factor m(s). -4*(s + 6)*(7*s - 2)**2/7 Let i(h) be the first derivative of 2*h**3/11 - 258*h**2/11 - 96*h + 808. Find w, given that i(w) = 0. -2, 88 Let h = 245 + -1212/5. Let z be (-6)/((360/108)/(16/(-18))). Factor -6/5 - z*t**2 + h*t + 1/5*t**3. (t - 6)*(t - 1)**2/5 Let s be (0 + 3 - 5) + 8/2. Suppose 0 = 3*z + s*j + j, 20 = z - 3*j. Determine t so that -59*t**z + 4*t**4 - 6*t**2 + 2*t**3 + 57*t**5 + 2*t**2 = 0. -1, 0, 1, 2 Determine l, given that -39/4*l + 1031/8*l**3 - 387/8*l**4 - 721/8*l**2 - 5/8*l**5 + 20 = 0. -80, -2/5, 1 Suppose -14874 + 3*h**2 - 7959 - 420*h + 37533 = 0. Calculate h. 70 Let h be 7 + 5*5*(-4)/50. Find v, given that 140*v**3 - 16*v**2 - 14*v**4 + 3*v**5 - 63*v**3 - 49*v**3 - v**h = 0. 0, 1, 2, 4 Suppose -97*y + 23*y + 86 = -31*y. Suppose -2/13*m**3 + 16/13*m**y - 2/13*m**4 + 24/13*m + 0 = 0. Calculate m. -2, 0, 3 Let p = -30 + 91. Let h = -59 + p. Factor 101*a**h + 45*a - 40 + 104*a**2 - 210*a**2. -5*(a - 8)*(a - 1) Solve 111 - 51 - 5*z**2 + 523 + 2 + 580*z = 0 for z. -1, 117 Suppose -1 = q + 3*o, -4*q + 8 = 4*o - 4. Suppose q*n = -5*n. Determine s so that n*s**3 - 12 - 2*s**3 + 3*s**3 + 4*s - 5*s**3 + 12*s**2 = 0. -1, 1, 3 Let f(p) be the first derivative of 5*p**6/6 + 8*p**5 - 55*p**4/4 - 890*p**3/3 - 1010*p**2 - 1400*p + 873. Let f(k) = 0. What is k? -7, -2, 5 Let n(m) be the first derivative of 71*m**2 + 0*m - 124 - 2/3*m**3. Solve n(j) = 0. 0, 71 Let c(a) be the third derivative of 0*a - 2/105*a**6 + 0 - 2/7*a**4 + 34*a**2 - 11/105*a**5 - 3/7*a**3 - 1/735*a**7. Suppose c(o) = 0. Calculate o. -3, -1 Let g**2 - 57/7*g + 50/7 = 0. Calculate g. 1, 50/7 Let m(q) be the third derivative of q**7/420 + q**6/120 - q**5/40 - q**4/6 - q**3/3 - 304*q**2. Let m(x) = 0. What is x? -2, -1, 2 Suppose 0 = 6*g + 130 + 32. Let l be -5 - (2 + 18/(-10))*g. Determine p so that -2/5*p**2 + 0 - l*p = 0. -1, 0 Let n = 26583 - 106329/4. Let v(c) be the first derivative of -3 + 0*c + 1/5*c**5 + n*c**4 + 2/3*c**3 + 0*c**2. Suppose v(g) = 0. What is g? -2, -1, 0 Let k = -19464 + 19468. Let n(i) be the second derivative of -1/20*i**5 + 1/6*i**k + 13*i + 0 + 0*i**3 + 0*i**2. Factor n(c). -c**2*(c - 2) Let p(g) be the second derivative of -g**5/90 + 13*g**4/54 - 35*g**3/27 - 49*g**2/9 + 257*g. Suppose p(m) = 0. Calculate m. -1, 7 Let -57/5*x**2 + 93/5*x**4 + 103/5*x**3 - 36/5 + 9/5*x**5 - 112/5*x = 0. What is x? -9, -1, -2/3, 1 Let u(a) be the first derivative of -2*a**5/15 + 26*a**4/3 + 440*a**3/9 + 224*a**2/3 + 3163. What is k in u(k) = 0? -2, 0, 56 Suppose 0 = 22*y + x - 2, -y - 86*x + 6 = -83*x. Find o such that y - 4/11*o - 2/11*o**2 = 0. -2, 0 Let z(a) = -11*a**2 + 12*a - 19. Suppose 62 = 17*p - 74. Let i(o) = -31*o**2 + 37*o - 54. Let s(k) = p*z(k) - 3*i(k). Determine y so that s(y) = 0. 1, 2 Let f = 27/472 + 563/472. Factor -5/2*x - f - 5/4*x**2. -5*(x + 1)**2/4 Find v, given that -428*v**3 - 16/3*v**5 + 220/3*v**2 + 108 + 348*v - 96*v**4 = 0. -9, -1/2, 1 Let k(h) = -h**2 + 6*h + 1. Let u be k(8). Let m = u - -18. Factor -1 + 1 - 6*j**2 + 5*j - 2*j + 3*j**m. 3*j*(j - 1)**2 Let m(u) be the second derivative of -u**7/840 + u**6/96 - u**5/40 - 39*u**2 - 9*u + 11. Let q(b) be the first derivative of m(b). Let q(o) = 0. What is o? 0, 2, 3 Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1/14*v**7 + 1/20*v**5 + 3/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c). 3*c**2*(c + 1)*(5*c + 1) Let m(d) be the second derivative of -2*d**7/21 + 32*d**6/15 - 3*d**5 - 94*d + 3. Let m(x) = 0. Calculate x. 0, 1, 15 Let v(a) be the third derivative of a**7/42 - a**6/3 + 2*a**5/3 + 20*a**4/3 - 40*a**3 - 79*a**2 + 2. Factor v(j). 5*(j - 6)*(j - 2)**2*(j + 2) Solve 82*s**3 + 2906*s + 2948*s + 76*s**2 - 6014*s + 2*s**4 = 0. -40, -2, 0, 1 Let m(r) be the second derivative of -r**5/100 + r**3/10 - 34*r**2 + 102*r. Let l(s) be the first derivative of m(s). Find f, given that l(f) = 0. -1, 1 Let m = 9 - 3. Let x(d) be the first derivative of -9/5*d**5 + 5/8*d**m - 1/2*d**3 + 0*d**2 + 8 + 0*d + 27/16*d**4. Determine c, given that x(c) = 0. 0, 2/5, 1 Suppose -15102*g + 84 = -15074*g. Let c(o) be the third derivative of 1/30*o**4 - 2/75*o**5 + 0 + 1/150*o**6 + 0*o + 0*o**g - 29*o**2. Factor c(f). 4*f*(f - 1)**2/5 Suppose 15*s - 30 = -4*v + 13*s, -4*v - 5*s + 63 = 0. Factor 9/4*q**3 + 15/4*q**v - 3 - 3*q. 3*(q - 1)*(q + 2)*(3*q + 2)/4 Let a(l) = l**2 - 14*l - 119. Let t be a(-6). Suppose -4*k - 2*g = -105 + 103, -5*k + t = g. Suppose x**3 + 1/2*x**2 + 1/2*x**4 + 0*x + k = 0. What is x? -1, 0 Factor -272*d + 50/3*d**2 + 888 + 2/3*d**3. 2*(d - 6)**2*(d + 37)/3 Determine q so that 132*q**2 + 7*q**3 + 955 + q**5 - 144*q - 3*q**4 - 955 - 35*q**3 = 0. -6, 0, 2, 3, 4 Let v be 15/(-45) - ((-42)/36 + (-1)/(-3)). Let m(p) be the second derivative of v*p**6 + 0*p**2 - 5/3*p**3 + 1/2*p**5 + 0 - 30*p - 5/4*p**4. Factor m(l). 5*l*(l - 1)*(l + 1)*(3*l + 2) Suppose 24 = -4*i - 4*l, 5*i + 46 = -2*l + 43. What is p in -12/5 - 12/5*p**2 - 2/5*p**i - 22/5*p = 0? -3, -2, -1 Let v(c) = 6*c**2 + 5002*c + 4958. Let w(b) = -31*b**2 - 25031*b - 24791. Let k(n) = 11*v(n) + 2*w(n). Factor k(q). 4*(q + 1)*(q + 1239) Let y(p) be the second derivative of p**4/4 + 341*p**3 + 348843*p**2/2 + 2611*p. Suppose y(v) = 0. Calculate v. -341 Let w(r) = r**2 + r - 5. Let t(a) = 3*a**3 - 17*a**2 + 26*a - 5. Let c(j) = -2*t(j) + 6*w(j). Let c(o) = 0. What is o? -1/3, 2, 5 Let u = -315889 - -315894. Factor 4/13*y**u + 0*y - 2/13*y**3 - 2/13*y**4 + 0 + 0*y**2. 2*y**3*(y - 1)*(2*y + 1)/13 Suppose 35*s = 58*s - 345. Factor 4*m**2 - 15*m - 2*m**2 - 4*m**2 + 34*m - s*m. -2*m*(m - 2) Let c = 3/5587795 - -17506557547/7800561820. Let t = c + 2/349. Factor 3/2*h - 3/4*h**4 + 0 - 3/4*h**5 + t*h**3 + 15/4*h**2. -3*h*(h - 2)*(h + 1)**3/4 Let v(t) be the third derivative of -1/5*t**5 + 0 + 2*t - 39*t**2 - 8/3*t**4 + 8*t**3. Factor v(n). -4*(n + 6)*(3*n - 2) Let z(k) be the first derivative of -k**6/288 - k**5/30 - k**4/32 + 79*k**3 + 15. Let d(b) be the third derivative of z(b). Factor d(c). -(c + 3)*(5*c + 1)/4 Let p be (-186)/31 + (1 - -7). Let 48*z**3 + 76 + z**4 + 888*z**2 - 120*z**p - 76 + 4096*z = 0. Calculate z. -16, 0 Let d(g) be the third derivative of 0 - 17/84*g**4 + 1/210*g**5 - 29*g**2 + 11/21*g**3 + 1/84*g**6 + 0*g. Let d(t) = 0. Calculate t. -11/5, 1 Factor -18*r + r**5 - 30 - 20*r**2 + 187758*r**4 + 0*r**5 - 47*r - 187748*r**4 + 30*r**3 - 6*r**5. -5*(r - 3)*(r - 2)*(r + 1)**3 Let n = 119213/7 + -17027. Factor n - 24/7*z**2 - 3/7*z + 3/7*z**3. 3*(z - 8)*(z - 1)*(z + 1)/7 Suppose -72 - 72 = -18*b. Let a = -5 + b. Factor 2*n**4 - n**4 + 0*n - 16*n**2 + 15*n**2 + 3*n - a*n**3. n*(n - 3)*(n - 1)*(n + 1) Let s = 315 - 126. Let m = 5436 - 5434. Determine g, given that 57 - s*g - 4*g**3 - 45*g**m + g**3 - 204 = 0. -7, -1 Let m(y) be the first derivative of 32/5*y + 56/15*y**2 + 2/15*y**3 - 1/5*y**4 - 2/75*y**5 + 122. Determine g, given that m(g) = 0. -4, -1, 3 Let l(j) be the first derivative of -3*j**5/5 - 93*j**4 - 4084*j**3 - 22320*j**2 - 43200*j - 4868. Solve l(s) = 0 for s. -60, -2 Let d(r) = 15*r**2 + 6*r + 12. Suppose -3*x + 2*q = -q - 15, 5*q = 4*x - 24. Let s(g) = -15*g + 5*g - 1 + 9*g - g**2. Let w(l) = x*d(l) + 12*s(l). Factor w(o). 3*o*(o - 2) Suppose 5*j - 20 = -z, z + 229 = j + 225. Suppose 4/5*p**3 - 16/5*p**2 + 0 + z*p = 0. Calculate p. 0, 4 Let u(j) = 2*j**2. Let q(g) = -10*g + g + g - 2 + 8 + 24*g**2. Let y(v) = 2*q(v) - 22*u(v). Factor y(x). 4*(x - 3)*(x - 1) Suppose -6448/3*k**2 - 1088/3 + 2896/3*k**3 - 7/3*k**5 + 1808*k - 144*k**4 = 0. What is k? -68, 2/7, 2 Let i(a) = 2*a**3 - 9*a**2 - 8*a + 15. Let q(z) = -z**3 + 4*z**2 + 4*z - 7. Suppose 0 = 3*v - c - 12, v - 4*c = 13 + 2. Let g(o) = v*i(o) + 7*q(o). Factor g(n). -(n - 2)*(n - 1)*(n + 2) Suppose 342/7*d**3 + 0 - 80/7*d**2 + 2*d**5 - 8*d - 220/7*d**4 = 0. What is d? -2/7, 0, 1, 14 Let g(a) = -101*a**2 + 2*a + 2. Let f be g(-1). Let b = f + 102. Find m such that 0 - 14*m**2
{ "pile_set_name": "DM Mathematics" }
se j - o = -w*j. Is j a multiple of 12? True Let a(z) = -z**3 + 16*z**2 + 17*z + 20. Is 7 a factor of a(15)? False Suppose 5*w + 3*u - 1085 = 159, 1003 = 4*w + 5*u. Does 14 divide w? False Let g(u) = 6*u - 1. Suppose -3*j = -0*j + 4*h - 19, 3*j - h = -1. Let v be g(j). Suppose -v*y + 270 = -0*y. Does 27 divide y? True Let w(t) be the third derivative of 1/120*t**6 + 0*t + 1/6*t**5 - 1/8*t**4 + 2*t**2 + 0 - 7/6*t**3. Does 23 divide w(-10)? True Let n(g) = 238*g - 60. Is 13 a factor of n(2)? True Suppose -13*s - 11*s = -12144. Does 11 divide s? True Let g be (-96)/(-9) + (-4)/6. Suppose -672 - 348 = -g*c. Does 34 divide c? True Suppose 0*x = -8*x + 32. Suppose c = 5, -2*h = -0*h - x*c + 2. Is 3 a factor of h? True Does 2 divide 2/4 - ((-796)/8 + 5)? False Suppose -2*x = -4*f - 644, -2*x + f = -3*x + 334. Is x a multiple of 22? True Let k = 118 + -58. Is 24 a factor of (15/k)/(2/872)? False Suppose 5 = -m + 2*g - 3*g, 0 = 4*g + 12. Let x = m + 33. Is 17 a factor of x? False Let j(v) = 18*v - 2. Let l be j(1). Let w(b) = -b**2 + 15*b + 24. Does 3 divide w(l)? False Let v(t) = -10*t**3 - 5*t**2 - 5*t - 4. Let l be v(-4). Suppose -6*d + l = -3*d. Suppose 10*z = 2*z + d. Is z a multiple of 6? True Let p(k) = -k**3 - 8*k**2 - 12*k - 3. Let c be p(-6). Let s(l) = -l**2 + 2*l. Let i(f) = f + 1. Let u(a) = -3*i(a) - s(a). Is u(c) a multiple of 7? True Let v(u) = -u**3 + 12*u**2 + 15*u + 9. Let r be v(13). Is 4 a factor of (-2)/5 - (-154)/r? True Let g be 289/2 - (-4 + -4)/(-16). Suppose -61*z = -67*z + g. Does 4 divide z? True Let t = 64 + -150. Is (-2 - -4)/(-2) - t a multiple of 17? True Does 65 divide (-880)/132*(1456/(-10) + -2)? False Suppose 8*a = 13*a - 35. Does 6 divide 1250/35 - (-2)/a? True Let o = 808 - 582. Does 3 divide o? False Let x be (-1)/(1*(-2)/8). Suppose 0 = -0*o - 4*o + 4*q + 208, 0 = o - x*q - 43. Is o a multiple of 11? True Let a(z) = -z**3 - z**2 - 3*z - 1. Let l be 6/(6*(-3)/(-24)). Suppose -5*h = l + 7. Does 13 divide a(h)? True Let h(b) = -b**3 - 3*b**2 + 4*b + 12. Let c(n) = n**3 - 6*n**2 + 7*n - 1. Let t be c(3). Does 15 divide h(t)? True Suppose -162 = 172*z - 199*z. Is 2 a factor of z? True Suppose 47*r - 53550 = 37*r. Does 33 divide r? False Let h(z) = z**2 - 19*z - 108. Does 6 divide h(25)? True Let y = -3 - 2. Let s(m) = -2599 + 2*m**2 + 1298 - m**2 + 1305. Does 16 divide s(y)? False Let b(m) = m**3 + 5*m**2 - 3*m - 6. Suppose 2*t = 6, 5*w + 4 = -4*t + 2*t. Let c be (w/5)/(7/70). Does 9 divide b(c)? False Suppose 0*i = 3*i - 4*j - 1425, -3*j + 475 = i. Let y = i - 210. Suppose -5*h = -0*h - y. Is h a multiple of 22? False Let m(n) = -13*n + 1. Let i be m(-2). Let y = i - 12. Is y even? False Let c(h) = 1 - 5*h + 7*h + 1 + 1. Let w(n) = -2*n - 4. Let z(a) = -6*c(a) - 5*w(a). Is z(-2) even? True Suppose -5*b = 3*b - 128. Let a = 33 - b. Is a a multiple of 3? False Let y be 3/(-18) - (-2521)/6. Suppose -2*o + y + 180 = 0. Suppose -o = 2*r - 6*r. Does 15 divide r? True Suppose -1520 = 17*f - 4223. Is f a multiple of 30? False Let i = -16 + 29. Let j(q) = -q**3 + 11*q**2 + 31*q - 7. Does 8 divide j(i)? False Let w be -24 - (-3 + 2 - -1). Let z = -12 - w. Suppose 5*i = 4*y - z - 63, 3*y = 5*i + 50. Does 17 divide y? False Let t = 461 + -276. Is 2 a factor of t? False Let o(n) = n - 1. Let k(d) = -73*d**2 + 2*d - 10. Let q(b) = -k(b) + 6*o(b). Is 14 a factor of q(-1)? False Suppose 12*z - 5893 = -1465. Is 57 a factor of z? False Suppose 0 = -3*b + f + 10, -2*b - 4*f + 2 = -0*f. Does 4 divide b/9 + (-235)/(-15)? True Suppose 0 = -7*y + 2*y + 280. Is y a multiple of 7? True Let n = 99 + 15. Does 23 divide n? False Suppose 3*v - 11 = 2*f - 2, -9 = -4*f - 3*v. Let a be 3 - ((-3)/3 + f). Suppose -a*i = -3*r + 8*r - 51, -5*r = i + 6. Is 15 a factor of i? False Suppose 2*d + 4*f - 2424 = 0, -4 = -3*f - 16. Is d a multiple of 10? True Let g = 2981 + -461. Is 36 a factor of g? True Let s = -13 + 60. Suppose 3*w - 502 = 4*h, -2*h - 609 - s = -4*w. Is w a multiple of 17? False Suppose 48 = 9*s - 3*s. Does 4 divide s? True Does 9 divide (-78 - 3)*-7 - 0/(-3)? True Let m = -6990 + 11385. Is m a multiple of 15? True Let n = 298 + 292. Is n a multiple of 14? False Suppose 8 = -2*j + 6*j. Suppose 2*t - 5*u + j = -12, 4*t = -2*u + 20. Is 40/t + 14/21 a multiple of 14? True Suppose 0 = 6*x - 10*x + 48. Suppose x*v = 15*v - 114. Is 38 a factor of v? True Is 20 a factor of (-65)/10*1312/(-8)? False Let g be 4/(-16)*0*1. Suppose 5*h - 156 - 179 = g. Is h a multiple of 17? False Let a(k) be the third derivative of -k**5/12 + 7*k**4/12 + 5*k**3/6 + k**2. Let b(w) = -w - 1. Let h(n) = -a(n) - 5*b(n). Does 10 divide h(5)? True Let h(a) be the second derivative of a**5/20 + 5*a**4/3 - 23*a**3/6 - 9*a**2 - a. Does 9 divide h(-21)? False Let p(a) = 6*a**2 - a. Let g be p(1). Suppose -h + 16 = -g*h. Is (h/1)/(1/(-10)) a multiple of 8? True Suppose -39 = 3*j - 324. Suppose -5*z - 4*s - 156 - 135 = 0, -296 = 5*z - s. Let h = j + z. Does 18 divide h? True Suppose -2*h = 2*y - 64 - 50, 2*h - y = 111. Is h a multiple of 28? True Suppose 0 = -4*r - 2*y - 6, 0 = -r + 3*y + 2*y + 15. Suppose f - 6*f + 240 = r. Let v = f - 28. Is v a multiple of 5? True Let f(g) = -2*g + 4 - 16 - 24 - 3*g. Let j be f(-18). Suppose -154 = -4*l - j. Is l a multiple of 9? False Let m be 4 - (2 + -2 + -2). Let f(j) = j**2 - 6*j + 1. Let y be f(6). Let c = m - y. Is 3 a factor of c? False Let u(l) = -32*l + 18. Let o = 85 + -90. Is u(o) a multiple of 17? False Let q = 494 - 270. Does 7 divide q? True Suppose 15429 = 4*a + 3*y, 5*a - 19280 = -7*y + 2*y. Does 7 divide a? False Let f(k) be the first derivative of -7*k**2/2 + 11*k - 34. Is 8 a factor of f(-6)? False Let w be 15/(-3)*(-1 - 22). Suppose -g = 5*o - w, -3*o + 5*g = -7*o + 113. Let b = o + -2. Does 5 divide b? True Suppose 6 - 26 = -5*x. Suppose -x*t + 4*c + 0*c - 440 = 0, -4*t + 5*c = 442. Let l = t - -155. Is l a multiple of 8? False Is (-18 + 3)/(-5) - (0 - 160) a multiple of 13? False Suppose 5*z - 3*z + 15 = -3*x, 2*z + x + 9 = 0. Let h be 10 - (2 + z + 3). Is (5*-1)/(h/(-16)) a multiple of 3? False Let h(a) = 19*a - 91. Is h(29) a multiple of 48? False Let v(w) = -15*w + 168. Is v(-15) even? False Let y(t) be the second derivative of 67*t**7/2520 + t**6/360 + t**5/120 + 7*t**4/12 + 4*t. Let m(c) be the third derivative of y(c). Is 22 a factor of m(-1)? True Let u = 17 + -2. Is (1 - u)*(-14)/4 a multiple of 15? False Does 10 divide 925 - (-2)/8*(-25 + 21)? False Let k(t) be the third derivative of -1/3*t**3 - 1/24*t**4 + 0 + 1/30*t**5 + 0*t + 1/120*t**6 - 5*t**2. Is 20 a factor of k(3)? True Let i(j) = -51*j**3 + 2*j + 1. Let w be i(-1). Suppose 2*m = -2*a + w, 0*m + a = m - 23. Is 24 a factor of m? True Suppose 0 = -q + 5*l - 0 - 11, 2*q - 5*l = -22. Does 27 divide (q - -5)*27*-2? True Suppose 5*t = 2*d - 56, 3*d - 3*t = -44 + 119. Let x(i) = -i**3 + 23*i**2 - 2*i + 56. Is 5 a factor of x(d)? True Suppose 2 + 2 = 2*q. Let f(h) = h + 1. Let l be f(17). Suppose l = q*p - 2. Is 4 a factor of p? False Suppose 4*l = -1 - 7, 0 = 3*v - 4*l - 53. Suppose 0*j = -3*j + v. Let g(u) = u**3 - 3*u**2 - 6*u - 6. Is 4 a factor of g(j)? False Suppose 0 = q - 4*w - 19 - 9, 4*q + w = 61. Suppose -q*z + 12*z + 36 = 0. Is z/(-18)*-2*18 a multiple of 9? True Let u = -46 + 11. Let x = -32 - u. Suppose -x*g + 2*g = -34. Is 7 a factor of g? False Suppose 176 = -71*u + 75*u. Does 14 divide u? False Let c be (-1 - 3/3) + -61. Let f = -18 - c. Is f a multiple of 9? True Let v(i) = 7*i - 51. Let f be v(8). Is 105 + (-8)/20 + 2/f a multiple of 35? True Let v(l) = l**2 - 7*l + 8. Let d be v(6). Suppose -3*q - d*y - 3 = -7, 4*y + 4 = 0. Suppose o = -4*k + 60, q*k = 3*k + 5*o - 15. Is 12 a factor of k? False Suppose 2*v = v - 2. Let m be -2 - (v - 3)*1. Is 2 - ((-24)/m + 3) a multiple of 3? False Let v(z) = -11*z + 33. Is 6 a factor of v(-23)? False Suppose 0 = 2*w + 2*w + 1548. Let m = 559 + w. Does 21 divide m? False Let b = 101 + -105. Does 14 divide 1050/60 - 2/b? False Suppose u = -5*b - 9, b + 58 = -4*u - 54. Let v = u + 203. Does 18 divide v? False Let a(y) = -y**3 - 12*y**2 - 6*y - 2. Suppose -77 = z + 6*z. Let v be a(z). Let s = v - -109. Does 13 divide s? True Suppose 26*s - 29*s = -9. Suppose -3 - 63 = -s*b. Is 16 a factor of b? False Let
{ "pile_set_name": "DM Mathematics" }
e the prime factors of b(1)? 3, 1787 Suppose 45*h = -21*h + 91*h - 268725. List the prime factors of h. 3, 3583 Suppose -o - 4 = 0, -2*h + 232 = -o + 16. Suppose -t - 6 = t, q - h = -5*t. List the prime factors of q. 11 Let c(k) = -19*k**3 - 9*k**2 - 9*k - 19. Let b be c(-6). Suppose -6*u = -1711 - b. List the prime factors of u. 3, 307 Suppose 30*m + 127128 = 777648. List the prime factors of m. 2, 3, 13, 139 Let y be (4 - 574/21)/(2/24). Let s = -66 - y. Let i = -139 + s. List the prime factors of i. 3, 5 Suppose 0 = -136*l + 75*l + 1133316 + 1304671. What are the prime factors of l? 17, 2351 Suppose -10 - 23 = -11*d. Suppose -d*o - 34 = -o. Let w = 64 - o. List the prime factors of w. 3 Let k = 365 + -988. What are the prime factors of (-4)/(28/k) + 7? 2, 3 Let d be 5*((-2)/(-3) + (-16)/60). Suppose -117 = -d*m + 21. Suppose -183 - m = -4*v. What are the prime factors of v? 3, 7 Suppose -3*b + 10 + 8 = 0. Let o be (-4)/((-8)/(-15))*b. What are the prime factors of o/(-20)*(178/3 - -2)? 2, 3, 23 Suppose -4*y = y + 65. Let t = y - -16. Suppose 0 = 3*x - 5*r - 347, -3*r = -t*x + 213 + 132. What are the prime factors of x? 2, 3, 19 Let x(y) = -y**3 - 11*y**2 + 7*y + 30. Suppose c = -4*j - 28, -4*j - 24 = c - j. Let n be x(c). List the prime factors of (0 - n)*(20 - 21). 2, 3, 5 Suppose s = 5*s - 4*p - 24, 0 = 2*p + 8. Suppose -k + 0 + s = 0. Suppose 0 = 2*g - u - k*u - 18, 11 = g - u. List the prime factors of g. 3, 5 Let y be 3*((-1)/3 + 0) - -3115. Suppose -9766 = 7*v + y. List the prime factors of (v/(-32))/((-2)/(-4)) + -3. 2, 7 Suppose 671*p = 1315*p - 659*p + 444765. List the prime factors of p. 149, 199 Let c = 10385 + -6123. List the prime factors of c. 2, 2131 List the prime factors of (-38)/(-247) - (-3434123)/143. 3, 5, 1601 Suppose -872679 = -79*k + 625556. List the prime factors of k. 5, 3793 Let z(l) = -5*l + 6. Let k be z(4). List the prime factors of 3/(-2)*(k*125)/7. 3, 5 Let f be 1983/21 + (-48)/112. Suppose 5*q - 7 = -17. Let m = f - q. What are the prime factors of m? 2, 3 Suppose 2*g + 11658 = 2*c, -11*g - 17467 = -3*c - 12*g. What are the prime factors of c? 2, 7, 13 Let d(b) = -1085*b - 2399. What are the prime factors of d(-16)? 3, 4987 Suppose -3*c + 1539 - 333 = 0. Suppose -c = -6*o - 0*o. Suppose 86 + o = h + 2*b, 0 = 4*h + 2*b - 642. List the prime factors of h. 163 Let t = -136 + 196. Let h = 76 - t. Suppose -7*m - 2*p + h = -5*m, 0 = -5*m + 2*p + 68. List the prime factors of m. 2, 3 Let v(c) = -2*c**2 - 402*c - 952. List the prime factors of v(-79). 2, 3, 509 Suppose -6*n + 1183 + 28475 = 0. List the prime factors of n. 4943 Let h = -385 - -418. Suppose 5*g - 8191 = 3*s, -h*g + 28*g + s + 8187 = 0. List the prime factors of g. 1637 Let o(c) = 289*c**2 + 5*c - 10. Let r(k) = k**2 - k. Let f(g) = o(g) - 6*r(g). What are the prime factors of f(1)? 2, 71 Suppose -4*u = 5*j - 8*j - 76, 5*j + 125 = 5*u. Let y(x) = -45*x - 190. List the prime factors of y(j). 2, 5, 89 Let t be (-1218)/(-252) - 2/(-12). Suppose 6*x - 8*x = -5*j - 2368, t*j - 3527 = -3*x. What are the prime factors of x? 3, 131 Let o = -20 + 7. Let p = o + 27. Let y(j) = j**3 - 13*j**2 - 11*j - 12. What are the prime factors of y(p)? 2, 3, 5 Let d = 156 + -154. List the prime factors of 449 - (1/(-3))/(d/(-30)). 2, 3, 37 Let l be (172/20 - 3) + (-3)/5. Suppose 5*u - f + 3*f = 4190, l*u + 5*f - 4205 = 0. What are the prime factors of u? 2, 11, 19 Suppose 4*x - 2*r = 601 + 1011, 0 = -x + 4*r + 417. Let n = x + -173. What are the prime factors of n? 2, 3, 19 Suppose -13862420 = -73*q - 147*q. List the prime factors of q. 13, 37, 131 Let c = -117 - -102. List the prime factors of (24/c)/(1/(-235)). 2, 47 Suppose -16 = -4*w + 2*i - 4, 5*w = 5*i + 25. Suppose 0 = c - w - 2. List the prime factors of 214/c*(-6)/(-4). 107 Let k(a) = 5 - 5 + a - 9 + 28*a**2. Let h be k(-7). Suppose -7*b - 5*b + h = 0. What are the prime factors of b? 113 Suppose -36*n = -38*n + 11046. Let r = -3733 + n. List the prime factors of r. 2, 5, 179 Let o = 16 + -11. Suppose -5*p + 2*q + 76 = -p, -o*q - 105 = -5*p. What are the prime factors of p? 17 Let s(i) = 692*i**2 - 5*i + 5. List the prime factors of s(3). 2, 3109 Let i(a) be the third derivative of -a**6/120 - 7*a**5/20 - 37*a**4/24 + 16*a**3/3 - 159*a**2. What are the prime factors of i(-19)? 13 Suppose 4*p - 5*f - 1303 = 0, -1660 + 27 = -5*p + 2*f. Suppose -5*c - 141 = 4*h - 1758, -c - 2*h = -p. List the prime factors of c. 3, 107 Suppose 0 = 4*k - 2*s - 6708, 2*k = -3*k - 5*s + 8340. List the prime factors of k. 2, 3, 31 Suppose 489 = 18*p + 93. Suppose -23*u + 401 = -p*u. List the prime factors of u. 401 Suppose 0 = -2*p + 4*o + 32, p + 6*o - 5*o - 25 = 0. Suppose 35*k - 4979 = p*k. List the prime factors of k. 383 Let q(f) = -3*f**2 + f + 1. Let i be q(1). Let c(h) = 273*h**3 - h**2 + h + 3. Let u be c(i). Let z = -186 - u. What are the prime factors of z? 2, 43 Let s(y) = -y**2 + 33*y - 17. Let l(d) = 2*d**2 - 67*d + 35. Let u(z) = -3*l(z) - 5*s(z). What are the prime factors of u(28)? 2, 3, 17 Let f(g) = 11*g**2 - 14*g - 124. List the prime factors of f(-15). 13, 197 Suppose 4*p = -2*w + 58772, w - 24*p + 23*p = 29398. Suppose -25*c + 7531 = -w. What are the prime factors of c? 7, 211 Let n = 28486 - 20185. What are the prime factors of n? 3, 2767 Let x be ((-4)/(32/348))/((-11)/88). Suppose x - 2372 = -2*c. List the prime factors of c. 2, 11, 23 Let z be (0 - 1) + -28*7/(-28). List the prime factors of (-424)/5*(-15)/z. 2, 53 Suppose -49*r + 32985 = -46*r - 864. What are the prime factors of r? 3, 3761 Suppose 0 = -5*l + u + 31663 + 21910, -2*l = 4*u - 21416. What are the prime factors of l? 2, 11, 487 Let q = 39318 - -616. What are the prime factors of q? 2, 41, 487 Let a be ((-290)/(-20))/(4/(-8)). Let t = a + 479. What are the prime factors of t? 2, 3, 5 Let v(o) = 14 - 29 - 4*o - 21. Suppose 3*g + 29 = a, -4*a - 4 = g + 23. What are the prime factors of v(g)? 2 Let j = 20 - 111. Let m = 169 - j. Suppose 5*s + m = 5*t, 4*t - 3*s - 208 = -2*s. List the prime factors of t. 2, 13 Suppose -5*d - 4*k + 24 = 0, 8 = 5*d - k - 11. Let f(t) = 6*t - 2. Let z be f(d). Suppose -l = -v - z, -2*l + 0*v + 5*v = -50. What are the prime factors of l? 2, 5 Let r(x) = 2508*x + 9357. What are the prime factors of r(12)? 3, 13151 Suppose -2*b - 449 = -3*b. Suppose b = 4*g - 495. Suppose 4*t - 448 = -4*y, 4*t - 3*t + g = 2*y. What are the prime factors of y? 2, 29 Suppose -8*w = -4*w - 4. Let a(f) be the first derivative of 191*f**3/3 - f**2 + 2*f - 19. What are the prime factors of a(w)? 191 Suppose -2 = 2*t, 4*m - 13 = 5*t - 0*t. Suppose -594 = -2*p + 4*b, 2*p = -5*b + m*b + 594. What are the prime factors of p? 3, 11 Let t = -15175 - -17578. List the prime factors of t. 3, 89 Suppose 31*b - 5*b = 156. Suppose 0 = -b*q + 2*q + 1576. List the prime factors of q. 2, 197 Let u be 2*(-7)/2*280/(-392). Let t = 828 + u. List the prime factors of t. 7, 17 Let q(m) = 966*m**2 + 23*m - 338. List the prime factors of q(7). 3, 11, 1429 Let p(q) = 5*q**3 - 2*q**2 + 2*q - 2. Let h be p(2). Suppose h = -2*b - 6. List the prime factors of (64/b)/((-4)/50). 2, 5 Let d(c) = 4*c**3 - 5*c**2 - 16. Let n = 372 - 366. List the prime factors of d(n). 2, 167 Suppose 3*j - h - 15 - 9 = 0, 0 = 4*h. Suppose -10*t + 668 = -j*t. List the prime factors of t. 2, 167 Let r(g) = -g**3 + 19*g**2 - 37*g - 2. Let w be r(15). Let s = w + -226. List the prime factors of s. 3, 13 Let p = -32 + 34. Let f = p + -2. Suppose f = -7*v - 2 + 23. List the prime factors of v. 3 Suppose -2*i - 5*t = -14562, 2*t + 10835 = 2*i - 3699. Suppose 0 = -18*o + 1675 + i. What are the prime factors of o? 7, 71 Let r(b) = -3560*b - 14. What are the prime factors of r(-2)? 2, 11, 17, 19 Let h = 21880 - 13487. Suppose -22*x + 33*x = h. What are the prime factors of x? 7, 109 Let z(d) = 10*d + 19. Suppose -14*j - 8*j = -286. What are the prime factors of z(j)? 149 Let d(v) = -v**3 + 9*v**2 - 3*v - 4. Let f(x) = 4*x + 19. Let a be f(-4). Suppose a*p - 9 = -n + 12, 2*p - 14 = -4*n. List the prime factors of d(p). 73 Suppose d - 2 = 0, -105*k + 4*d = -104*k - 6489. What are the prime factors of k? 73, 89 Let p be (1/(-2))/(3*8/(-10368)). Suppose -p*g = -222*g + 2214. List the prime factors of g. 3,
{ "pile_set_name": "DM Mathematics" }
rom amgxf. Give prob of picking 1 a, 1 x, 1 f, and 1 g. 1/5 What is prob of picking 3 m when three letters picked without replacement from qmqqmmmqmqqqmqqmmqmq? 7/95 What is prob of picking 1 l and 1 m when two letters picked without replacement from {x: 2, m: 4, l: 5}? 4/11 Three letters picked without replacement from {a: 7, d: 3}. What is prob of picking 3 d? 1/120 Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {u: 9, x: 2}. 24/55 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwcwwwwccccwwmw. 55/204 What is prob of picking 2 y when two letters picked without replacement from edmyonodymnnymom? 1/40 Calculate prob of picking 3 e and 1 f when four letters picked without replacement from ffeeeeffwfffweee. 7/52 Four letters picked without replacement from {s: 2, u: 3, x: 2, w: 4, h: 1, m: 2}. What is prob of picking 1 x, 2 s, and 1 h? 2/1001 Calculate prob of picking 4 y when four letters picked without replacement from {p: 1, e: 1, y: 3}. 0 Calculate prob of picking 1 y, 1 t, and 2 h when four letters picked without replacement from hhyyhyhhyyyhhhyytyh. 27/323 Four letters picked without replacement from {m: 3, q: 2, x: 1, k: 4, r: 1, t: 7}. Give prob of picking 1 k, 1 r, 1 m, and 1 q. 2/255 Two letters picked without replacement from ccduccfid. What is prob of picking 2 c? 1/6 Two letters picked without replacement from {s: 4, m: 1, e: 8, k: 2, c: 4}. Give prob of picking 1 s and 1 k. 8/171 What is prob of picking 3 c and 1 p when four letters picked without replacement from cxxchpcpc? 4/63 Four letters picked without replacement from {g: 1, z: 6, b: 2, y: 3, h: 2, e: 5}. What is prob of picking 2 e, 1 b, and 1 g? 5/969 Calculate prob of picking 2 n when two letters picked without replacement from {a: 2, n: 10}. 15/22 Two letters picked without replacement from {d: 4, f: 4, s: 11}. What is prob of picking 2 f? 2/57 Calculate prob of picking 1 g and 2 i when three letters picked without replacement from cjiccjccgci. 1/165 Two letters picked without replacement from iixiiiiiixixxiiiii. Give prob of picking 2 x. 2/51 Four letters picked without replacement from {r: 3, j: 7, q: 6, d: 1}. Give prob of picking 1 d, 1 j, and 2 q. 3/68 What is prob of picking 1 a, 1 m, and 1 e when three letters picked without replacement from ggigggaejgamegggggga? 1/190 What is prob of picking 1 i, 1 y, and 1 h when three letters picked without replacement from hhwhrawiyhhaw? 5/286 Three letters picked without replacement from {k: 1, r: 3}. What is prob of picking 3 r? 1/4 What is prob of picking 1 b and 3 l when four letters picked without replacement from {b: 3, l: 3}? 1/5 Three letters picked without replacement from lffvffmmmpmmmff. Give prob of picking 1 f, 1 m, and 1 v. 36/455 Three letters picked without replacement from {f: 6, y: 12}. What is prob of picking 2 y and 1 f? 33/68 Calculate prob of picking 2 q and 2 z when four letters picked without replacement from qzzzzzzqqzz. 14/55 Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {i: 3, j: 7, q: 2, n: 3, o: 3}. 1/272 Two letters picked without replacement from {j: 4, s: 1, v: 5, c: 1}. What is prob of picking 2 v? 2/11 Three letters picked without replacement from {x: 1, p: 1, v: 1, t: 1, f: 2, i: 2}. Give prob of picking 1 i, 1 v, and 1 f. 1/14 Three letters picked without replacement from {d: 5, h: 7}. What is prob of picking 2 h and 1 d? 21/44 What is prob of picking 1 p and 2 h when three letters picked without replacement from {c: 1, p: 4, h: 3}? 3/14 What is prob of picking 1 d, 1 x, 1 k, and 1 f when four letters picked without replacement from xydkxfxxd? 4/63 Calculate prob of picking 2 d when two letters picked without replacement from {a: 2, d: 3, u: 2, y: 9}. 1/40 Four letters picked without replacement from pygpfygmfpgggpggpppp. Give prob of picking 2 f and 2 g. 7/1615 Four letters picked without replacement from {j: 14, b: 5}. Give prob of picking 4 j. 1001/3876 Calculate prob of picking 3 p and 1 a when four letters picked without replacement from tpadappapa. 8/105 What is prob of picking 1 h and 1 o when two letters picked without replacement from {o: 1, r: 1, h: 1}? 1/3 Four letters picked without replacement from {d: 3, h: 7, k: 1, f: 1}. Give prob of picking 1 f and 3 d. 1/495 Calculate prob of picking 1 f and 1 n when two letters picked without replacement from yfngdnn. 1/7 What is prob of picking 2 e and 1 z when three letters picked without replacement from feuiiifeigiiiizfeiii? 1/380 Calculate prob of picking 4 l when four letters picked without replacement from llllllllll. 1 Four letters picked without replacement from xxuubqpwxxwqxb. What is prob of picking 3 x and 1 b? 20/1001 What is prob of picking 1 b and 2 s when three letters picked without replacement from bwswbswswwwssbsww? 9/136 Two letters picked without replacement from kkalla. What is prob of picking 2 l? 1/15 Calculate prob of picking 2 a and 1 q when three letters picked without replacement from asxqa. 1/10 Calculate prob of picking 2 d when two letters picked without replacement from dddddddddddrddd. 13/15 What is prob of picking 1 p, 1 w, and 1 i when three letters picked without replacement from {i: 1, b: 1, l: 2, c: 8, w: 1, p: 1}? 1/364 What is prob of picking 1 s, 2 y, and 1 l when four letters picked without replacement from {l: 2, s: 5, y: 2, z: 2, n: 2}? 2/143 Three letters picked without replacement from fmpmppmfmmppmpmmpmf. What is prob of picking 1 f and 2 m? 36/323 Calculate prob of picking 1 w and 3 v when four letters picked without replacement from wwvwwvwwwvw. 4/165 Calculate prob of picking 3 k and 1 z when four letters picked without replacement from {j: 5, z: 1, l: 5, k: 6}. 1/119 Calculate prob of picking 1 n and 1 s when two letters picked without replacement from sny. 1/3 Calculate prob of picking 3 g when three letters picked without replacement from gggggggyygg. 28/55 Three letters picked without replacement from {u: 1, t: 3, n: 1, l: 1, x: 2, j: 3}. Give prob of picking 1 u, 1 x, and 1 l. 2/165 Calculate prob of picking 1 j and 1 c when two letters picked without replacement from frjcfcrovoff. 1/33 Calculate prob of picking 1 x, 1 v, and 1 c when three letters picked without replacement from ttvcxvv. 3/35 Three letters picked without replacement from snqaqac. Give prob of picking 1 n, 1 c, and 1 s. 1/35 Calculate prob of picking 1 d, 2 o, and 1 p when four letters picked without replacement from ttottrhropddrtttttt. 1/1938 What is prob of picking 1 c and 1 w when two letters picked without replacement from {w: 9, c: 5}? 45/91 Calculate prob of picking 2 h when two letters picked without replacement from sccssauhhc. 1/45 Two letters picked without replacement from {l: 1, y: 2, j: 1, v: 2, w: 1, n: 1}. What is prob of picking 1 j and 1 y? 1/14 Four letters picked without replacement from xzuzmmvmmzcc. Give prob of picking 1 z, 2 m, and 1 x. 2/55 Three letters picked without replacement from wwmmgcwxwccmmwwmwxw. What is prob of picking 1 m, 1 g, and 1 w? 40/969 Three letters picked without replacement from {h: 2, x: 1, z: 1, p: 1}. Give prob of picking 1 z, 1 x, and 1 h. 1/5 Two letters picked without replacement from {q: 3, i: 3, o: 1, u: 3}. What is prob of picking 1 o and 1 q? 1/15 What is prob of picking 2 g, 1 c, and 1 t when four letters picked without replacement from {g: 4, t: 1, c: 5}? 1/7 What is prob of picking 1 q, 1 m, and 1 g when three letters picked without replacement from aggaqgmgggaqgagm? 2/35 Three letters picked without replacement from dxwjo. What is prob of picking 1 w, 1 o, and 1 d? 1/10 Calculate prob of picking 1 m and 1 x when two letters picked without replacement from aaajknakaxkam. 1/78 Three letters picked without replacement from kkwkwgggkkwknwyk. Give prob of picking 2 k and 1 w. 3/20 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from smnnfnni. 1/28 What is prob of picking 1 h and 1 t when two letters picked without replacement from hhhhhhhhthhhhhhthhh? 34/171 Two letters picked without replacement from gdygppgg. Give prob of picking 1 g and 1 y. 1/7 What is prob of picking 2 u and 1 l when three letters pick
{ "pile_set_name": "DM Mathematics" }
*d - 14 + 104 = 0. Solve -p*k + 15 = -d*k for k. -5 Suppose -u - 9 = 2*z - 5*z, -3*z - 4*u + 24 = 0. Let b = 39 - 39. Suppose 6*t - t - 10 = b. Solve -z*n = -t*n + 8 for n. -4 Let n = -26 - -31. Let b(t) = -9*t + n*t - 21 - t. Let v be b(-5). Solve -v = -2*q - 2*q for q. 1 Let i(w) = w - 4. Let j be i(4). Let o = 753 + -640. Let t = -110 + o. Solve j = t*q + q + 16 for q. -4 Let d = -4138 - -4138. Suppose -5*p = -5*s + 5, -p + 1 = -2*s + 2*p. Solve -s*i + 4 + 0 = d for i. 1 Suppose -4708 = -5*u - 3*m, -925*m + 926*m + 1892 = 2*u. Solve u*x - 945*x - 2 = 0 for x. -2 Suppose 18 = -218*s + 219*s + 5*l, 36 = 3*s - 3*l. Solve 0 = -14*i - s*i - 54 for i. -2 Let i(h) = 23 - 1 + 3*h + 5 - 4*h. Let b be i(22). Solve b*k + 4 = -11 for k. -3 Suppose 0 = 3*m - 6*m + 75. Suppose -3*c = -5*c - 8, -5*c = -3*s - m. Let h be (-2)/6 + (-110)/s + -1. Solve -h = -2*l + 5*l for l. -2 Let d be (14*(-88)/(-385))/(4/30). Suppose -8*z = -d*z + 13*z. Solve z = f - 9 + 4 for f. 5 Let p = -1 - -5. Suppose l + 0*l - 7 = 0. Suppose -k = l*k - 16. Solve 2*h = -k*h + p for h. 1 Suppose 5*c - 78 = -38. Let w be ((-15)/9)/(2/(-6)). Suppose m - 4*g + 13 = 33, 0 = w*m + 5*g. Solve c*h - m*h + 8 = 0 for h. -2 Suppose -18*i + 20*i - 4*a - 28 = 0, a + 7 = 2*i. Solve i = 33*r + 6*r - 234 for r. 6 Suppose 27*k - 42231 = 8*k - 2*k. Solve -7*d = -1997 + k for d. -2 Suppose -21 = -a - 6*a. Let x(j) = 14 - 8 - 4*j**2 + 0 - a*j - 10*j + j**3. Let z be x(6). Solve z = -0*l + 4*l for l. 0 Let t = 2134 - 2131. Solve t*l - 27*l = 0 for l. 0 Let b(v) = 22*v + 9. Let i be b(2). Let q = i - 47. Let f be -4 - ((-8)/2 - 0). Solve f = -s - s + q for s. 3 Let y(a) = -a**2 - 2*a + 190. Let x = -719 - -706. Let d be y(x). Solve 0 = -51*p + d*p - 12 for p. -3 Let n(w) = -8*w - 36. Let q = 29 - 34. Let a be n(q). Solve -a*d = -d for d. 0 Suppose -1750*i + 1755*i - 5*n = 105, -3*n + 3 = 0. Solve 62 = -i*l - 9*l for l. -2 Suppose 104*s = 102*s + 36. Let a be (-27)/s - ((-38)/4 + -1). Solve 0*x + 3*x + a = 0 for x. -3 Suppose 4*r + r = -i - 5, -3*i + 2*r + 53 = 0. Let n(d) = -d**2 + 17*d - 73. Let x be n(12). Let z = x + i. Solve z + 2 = -4*g for g. -1 Let r = 16076 + -16076. Solve -65*y - 41 - 479 = r for y. -8 Let g(z) = 2*z**2 - 8*z + 3. Let b be g(-3). Let w be 9*(-3 - ((-725)/b)/5). Solve 0 = a - 0 + w for a. -2 Let b = -35756 - -35854. Solve 0 = 48*p + 2 - b for p. 2 Let p = -106 - -149. Suppose 0 = -f - 37 + p. Solve 3*v = -0*v + f for v. 2 Let n(u) = -186*u + 12658. Let d be n(67). Solve -207*z + 88 = -d*z for z. 8 Let t(i) = -2*i**3 - 11*i**2 + 113*i - 1. Let p be t(-11). Solve 12*g - p + 51 = 0 for g. 3 Suppose -h - 328 + 393 = 0. Suppose 0*b - h = -5*p + 5*b, 2*p + 2*b - 34 = 0. Solve p - 3 = 6*y for y. 2 Let p be 3/(-7*(-12)/140). Suppose -4*v + 57 = -p*j, 11 - 39 = -v + 4*j. Solve 0 = 2*f + 4 - v for f. 2 Let n = 67 - 61. Let d be n/4*(3 - (-4)/12). Suppose -4*q = 4*x + 16, -4*x - 29 = -d*q - 4. Solve -11 = -4*k + q for k. 3 Let m be ((-8)/(-5))/((-95)/(-25) + -4). Let q(h) = -7*h - 52. Let a be q(m). Suppose -a*c + 16 = -84. Solve -7*s = -2*s - c for s. 5 Suppose 6*i = -3*v + 81, -75*i + 103 = 5*v - 73*i. Solve 0 = 23*o - v*o for o. 0 Let t = 118 + -101. Let d be t - 14 - (1*-4)/2. Solve d*u = -2 + 17 for u. 3 Suppose 5*x - 4 + 9 = 0. Let b(w) = -182*w**3 + 2*w**2 - w + 1. Let o be b(1). Let f be (o/63)/(x/7). Solve 2*v - f = -3*v for v. 4 Let r(s) = s**3 + 7*s**2 - 6*s - 20. Let h be r(-4). Suppose -5*l - 7 + h = 0. Solve -l = w - 7 for w. -2 Let z be (-370)/(-25) + -15 + (-42)/15. Let s(b) be the second derivative of b**5/20 + 5*b**4/12 + b**3 + 2*b. Let a be s(z). Solve h = -a*h for h. 0 Let c = -29843 + 30340. Solve -507*u - 90 = -c*u for u. -9 Let x = -1219 + 1238. Solve -35*s + x = 264 for s. -7 Suppose 3*f + 4*u - 695 = 0, -4*f + 38*u + 880 = 34*u. Solve 209 - f = -8*b for b. 2 Suppose -2*a - 56 = -10*f + 5*f, -a - 3 = 0. Suppose f*q - 23 = -23. Solve -s + 4*s = q for s. 0 Let x = -47725 + 47730. Solve x*c = 3827 - 3822 for c. 1 Let s(c) = -c**2 - c + 16. Let w be s(0). Suppose 6*z = -66, -34*b = -36*b + 2*z + 50. Solve -2*d + w = b*d for d. 1 Let r(w) = 7*w - 174. Let l be r(24). Let q(f) = 2*f**2 + 13*f + 10. Let x be q(l). Solve 0 = -x*o + 19 - 15 for o. 1 Let j(w) = -w**3 + 12*w**2 - 35*w + 3. Let k be j(6). Let t(d) = -d**2 + 9*d + 2. Let u be t(k). Solve -u + 20 = 6*h for h. 3 Let g(y) = 120*y**2 + 1554*y + 5. Let o be g(-13). Solve j + o = 80 for j. -3 Let d(t) = -4*t**2 - 23*t + 10. Let s be d(0). Solve 23*p = s*p for p. 0 Let h(v) = 2*v + 9*v + 2*v**2 - 12 - 4*v. Let p be h(-6). Suppose 0 = p*m - 3*m - 45. Solve 0*i - 3*i = -m for i. 1 Let g(d) = d**3 + 42*d**2 + 22*d + 1016. Let c be g(-42). Solve -c = 9*r - 56 for r. -4 Let o = -6114 - -6122. Solve 1064 - 1008 = -o*i for i. -7 Suppose -4*b - 3*a + 1013 = 0, b + 28*a - 25*a = 251. Let y = -224 + b. Solve 34*v = y*v for v. 0 Let m(c) be the third derivative of -c**5/60 - 5*c**4/24 - 2*c**3/3 + 3*c**2. Let j be m(-3). Suppose -28*k - 53*k = -513 + 108. Solve j = -a + k for a. 3 Suppose 6*j - 98 = -11*j - 47. Solve 16*d + 13 = j*d for d. -1 Let k(s) be the second derivative of s**3/3 - 18*s**2 - s. Let x be k(20). Suppose x*f - 13 - 75 = 0. Solve -f + 2 = -4*i for i. 5 Suppose -6*f - 271 - 101 = 0. Let p be (-3 - 7/(-2))*8 + f. Let d = p - -62. Solve 5*y - d*y = 2 for y. 2 Let r(d) = 7*d**2 + 7*d + 183. Let m(b) = 16*b**2 + 13*b + 366. Let t(l) = -4*m(l) + 9*r(l). Let j be t(-9). Solve -6*k + 12 = -j*k for k. 4 Let l(t) = -3*t**2 + 14*t - 8. Suppose m = -9*m + 90. Let r be l(m). Let a = 127 + r. Solve 0*p + p + a = 0 for p. -2 Suppose -5*s + 341 = -2*o - 90, -3*s + 3*o = -264. Suppose -27 = -14*j + s. Solve -j*p + 13*p = 15 for p. 3 Let v be 88/24*(-57)/(-9)*9. Solve -80 = -193*z + v*z for z. -5 Suppose 4*q = n + q + 50, 5*q - 138 = 3*n. Let i = n + 46. Solve -6*t + i = -11*t for t. -1 Suppose 5*i - 124 = -99. Suppose -i*v + 13 = -2*q, q = -v - 5 + 2. Solve -l + v = 1 for l. 0 Let f(m) = -3*m**2 + 30*m + 246. Let k be f(15). Solve -k*q + 68*q = 188 for q. 4 Let n(t) = -9*t + 23. Let r be n(-5). Let q be 34/r*(3 + (-2)/(-2)). Solve -q*g + 0*g + 10 = 0 for g. 5 Let h be 3/4 - (-14)/((-168)/(-255)). Solve -187 = 33*g - h for g. -5 Suppose -8*q - 18 = -o - 12, 18 = 3*o. Solve -2*g + 8*g - 36 = q for g. 6 Let r = -270 + 270. Suppose r = 22*a + a. Solve a = 5*v + 17 + 3 for v. -4 Suppose -4*m - 19 = 5. Let y be (-11)/(-2) - m/(-12). Let c be 2 + 15/(-3 - -6). Solve -2*h - y = -c*h for h. 1 Let s(l) = l + 11. Let m be s(-5). Suppose 3*b - 6 = m. Let x(q) = -5*q + 48. Let j be x(9). Solve j*o - b = o for o. 2 Let r be (-20)/(-7)*49/(-14). Let o(w) = 9*w + 14. Let t be o(r). Let d = -74 - t. Solve x = -x + d for x. 1 Suppose 0 = -3*b + 5*x + 27, 2*x = -5*b - 2*x + 8. Let h be (b + (-6 - -3))*(3 + 0). Let u be 3*((-2)/(-6))/1. Solve -n - u - h = 0 for n. -4 Let o be (-156)/(-65) - (-2)/15*-3. Suppose 0*p = -o*p. Suppose -3*i + p = -12. Solve -21 - i = -5*a for a. 5 Suppose -1135 = -5*c + 3*d, 480 = -345*c + 347*c + 4*d. Solve 222*s - c*s - 40 = 0 for s. -5 Let z(f) be the second derivative of f**4/12 + 4*f**3/3 + 4*f**2 - 4023*f. Let n = -12 + 5. Let q be z(n). Solve -7 + q = -3*a for a. 2 Let t(u) be the third derivative of -7*u**4/6 - 140*u**3/3 + 77*u**2 + u. Let s be t(-10). Let h be ((-6)/4)/((-2)/4). Solve 5*v + 2 + h = s for v. -1 Suppose -92 = -83*q + 60*q. Solve q*v - 2*v = -6 for v. -3 Suppose -3*b = 4*n - 435, -4*b = 3*n - 247 - 81. Suppose -28*h = -19*h - n. Solve h*g + 6 = 10*g for g. -3 Let u be 1 + -2 + 1 + 3 + 2 + 3. Solve -u*q - 16 = 8 for q. -3 Let b(n) = 12*n - 80. Let y be b(7). Suppose -5*x - y*c = 1, 4*x + 2*c = 5*x - 11. Solve 0 = -4*h - x - 1 for h. -1 Let m(c) be the second derivative of -c**5/20 - c**4/3 - c**3/2 - 3*c**2/2 - 26*c + 1. Let w be m(-4). Solve -2*h = h - w for h. 3 Let c(v) = v**3 + 6*v**2 + 4*v - 1. Let m be c(-3). Suppose -z + 0*z = 13. Let g = m + z. Solve g - 2 = q for q. -1 Suppose -170 = -4*w - 2*h, -2*w - 11 = 2*h - 91. Suppose 2*u + 94 = -4*s, -3*s + s = -3*u + 59. Let n = s + w. Solve 0*j - n = 4*j for j. -5 Suppose 0 = 5*o + 3*b - 775, -2*b + 4*b = -5*o + 770. Let s = 172 - o. Solve v - 5*v = s for v. -5 Let c(z) = -41*z + 3 - 4 - 41*z - 3. Let l be c(2). Let t be l/(-105)*(-25)/(-2).
{ "pile_set_name": "DM Mathematics" }
Put together -0.192 and -920322024764. -920322024764.192 Put together -0.51 and 34615850.13. 34615849.62 Subtract -3 from 11219290.35965. 11219293.35965 Calculate 519437849 + -59035. 519378814 What is the distance between 5.298 and 224113315? 224113309.702 Subtract -5 from -509083577066. -509083577061 1376344480991 + 0.93 1376344480991.93 Add together 0.122 and -56785442388. -56785442387.878 Subtract 270916 from 7.613635. -270908.386365 What is -452.38 + -85620679? -85621131.38 Add together -51 and -17.1567303. -68.1567303 Work out -29154454219 - -15.056. -29154454203.944 Total of 34213037.6 and 3803532. 38016569.6 Total of -16 and 1449183.631798. 1449167.631798 Sum -30489664394 and -484. -30489664878 Add -1.61 and -25347947140. -25347947141.61 Put together -11.45880274145 and 9. -2.45880274145 Subtract -131 from -1550925285. -1550925154 What is -3.71 less than 152744477060? 152744477063.71 What is the distance between 4778999.96 and 2622.34? 4776377.62 13086047+12125813 25211860 Calculate -0.089 + 233231.678. 233231.589 Calculate 5 - 8825.1781076. -8820.1781076 Work out -2332 + 12127041988. 12127039656 Work out 3.84 + -2252305041. -2252305037.16 Calculate -0.06 + 149192590780. 149192590779.94 Calculate 38871646723961 - 4. 38871646723957 432+-6870.12094 -6438.12094 Sum 10228733 and 4015709. 14244442 What is 24710 - 0.17383369? 24709.82616631 -1371318293845 + 0.4 -1371318293844.6 -12249102 - -0.60123 -12249101.39877 Work out -32.615436 - -269535. 269502.384564 Work out -13155207797.28642 - 0.4. -13155207797.68642 Calculate 0.3 + -0.129709296389. 0.170290703611 Work out 72570.979 + -163. 72407.979 Put together 0.00139 and -2245480.58. -2245480.57861 Add -160200 and -1483125. -1643325 846798 + -0.494681 846797.505319 -298235 - -133881 -164354 Calculate -2 - 3436049980.9. -3436049982.9 What is 175843 less than 7717777.08? 7541934.08 What is 4.03 + -182796055429? -182796055424.97 Subtract 20675.472 from 4008296.8. 3987621.328 What is 966 take away 75554.14296? -74588.14296 What is 4.388060577 - 1.74? 2.648060577 -6774.13269 - -2626 -4148.13269 Work out -0.42 + 73630889. 73630888.58 What is 0.18946031122 less than 0.1432? -0.04626031122 What is 1.349 less than -16569100.11? -16569101.459 9.05452978+908 917.05452978 Subtract 0.00634977 from 100466. 100465.99365023 Sum 683 and -220549613. -220548930 What is -37.66837 take away -351.58? 313.91163 What is 110038681718 less than 0.038? -110038681717.962 What is the difference between 82587 and 9713.3139? 72873.6861 Work out -7016 - 5.6477726. -7021.6477726 Calculate -32.7935 + -201401780. -201401812.7935 Calculate -30654422267 - -0.12. -30654422266.88 Work out 140971 + -665079. -524108 What is -16 - 433728.9776222? -433744.9776222 What is 9183647 minus -0.4217994? 9183647.4217994 Subtract 1166119166481 from -0.1. -1166119166481.1 Add 51092 and -4.036169. 51087.963831 Calculate 0.1 - 2339256298.845. -2339256298.745 Add together -0.68466 and -36280. -36280.68466 360+-1653.56260882 -1293.56260882 -3 - 197555286360 -197555286363 Subtract -0.5 from -11640146.8607407. -11640146.3607407 What is -1024505660141 + -0.13? -1024505660141.13 -1.9247+2492180992 2492180990.0753 Work out -244802256304579 - -4. -244802256304575 430966789 + -4279 430962510 Sum 661 and -6985.04434. -6324.04434 What is 938.76 less than 1.1448082? -937.6151918 What is 2.56 plus 29715.277943? 29717.837943 Total of -270279065268 and -0.4. -270279065268.4 What is 1218 less than -126687971? -126689189 What is 5810654563449 less than 0.5? -5810654563448.5 Work out -15 + 0.10378301796. -14.89621698204 Calculate 0.5961230715 + 0.078. 0.6741230715 Calculate -2209.9871 - 46429. -48638.9871 What is -381868 plus 16591721? 16209853 Subtract 19 from 325295451141. 325295451122 What is -3752783380.2 + -4.67? -3752783384.87 What is -0.2 - 3752333537925? -3752333537925.2 Work out -166491651 + 3.028. -166491647.972 Subtract 6151206.63 from 3. -6151203.63 What is 133302.431 + 107638? 240940.431 -44649.76 + -35491 -80140.76 What is the difference between -2.2 and 25068986638705? 25068986638707.2 Sum -60044 and -9642752. -9702796 What is -129927.42984 - -0.3? -129927.12984 Sum 37.1 and 5395645012. 5395645049.1 What is the distance between 179 and 2548126067495? 2548126067316 Sum -26507877 and -0.0566. -26507877.0566 What is the difference between -382 and 10819943839? 10819944221 Subtract 2351063414121 from 74. -2351063414047 What is the difference between 4 and -93011287.277? 93011291.277 Calculate 49.35147 - 1.6251. 47.72637 What is -8.154001362 less than -3? 5.154001362 What is -2416243 plus -6619115? -9035358 What is the difference between 0.4 and -2556134382161? 2556134382161.4 -1037 + 118.739473 -918.260527 Work out 386 + -1994819828330. -1994819827944 Total of -65.72014478002 and -19. -84.72014478002 Work out 0.6592 + -2212251239. -2212251238.3408 Add together -4246 and -70548556.266. -70552802.266 What is -199.92627061 + -3.31? -203.23627061 Total of 1393702 and -264678. 1129024 Calculate -903450776 + 3833.4. -903446942.6 What is 2.430742332 - 146.83? -144.399257668 Put together -2805.132 and -0.056264. -2805.188264 What is 393572436 take away 291? 393572145 Calculate 122299424478799 + -1. 122299424478798 Add -7 and 1159308.25065. 1159301.25065 Add together 33298730300.72 and 0.3. 33298730301.02 Total of -0.028 and -227250.3073. -227250.3353 Work out -14675.0343 - -618. -14057.0343 Calculate -127424690665 - 38. -127424690703 What is 1224938232523 + -0.3? 1224938232522.7 -1543987.98961+-19 -1544006.98961 Total of -2143985 and 55131453.8. 52987468.8 238.87+-206205448 -206205209.13 What is -0.20340965926 less than -85.8? -85.59659034074 Put together 74.062 and 6153637. 6153711.062 Total of -0.000243203 and -20780.52. -20780.520243203 20.9 - -0.01021310059838 20.91021310059838 What is 0.024559 plus 23049845? 23049845.024559 -77165.1291 + -1628 -78793.1291 What is 10912368784 less than -0.71? -10912368784.71 What is 5566447601 minus 0.03985? 5566447600.96015 What is -1.3 + 162162279.64964? 162162278.34964 Work out 0.05 - 29423146866. -29423146865.95 What is 0.452591696 - 292.9? -292.447408304 Subtract -5 from -9722.418820296. -9717.418820296 Calculate 0.006 + 1335751264718. 1335751264718.006 -0.058 + 138205595 138205594.942 Calculate 259.984070258 + -1203. -943.015929742 Subtract 683 from -12136.2998. -12819.2998 Work out 1.35 - 25463.00514. -25461.65514 What is -172170520 minus 18.7? -172170538.7 What is 18.4361830018 take away 6? 12.4361830018 What is -147 take away -17051605539? 17051605392 Work out -420729.321 + 324.25. -420405.071 What is -42 minus -6016677802130? 6016677802088 Work out 722235.3914 + 0.02. 722235.4114 What is 46.21 + -192036296? -192036249.79 What is the difference between -0.156 and -537700908265? 537700908264.844 What is the distance between 2904942285 and 6.6? 2904942278.4 What is the distance between -114884500357 and -1? 114884500356 Sum 2584637699020.1 and 0.5. 2584637699020.6 Put together -0.0094 and 2869.2901. 2869.2807 What is 2830 minus 29876724? -29873894 -521115 + 0.0751162819 -521114.9248837181 Work out 29.3 - 251366133. -251366103.7 Subtract 3511405 from 0.78055. -3511404.21945 0.035117069496+7 7.035117069496 Work out 2492 - -11858.479089. 14350.479089 What is -2882173.32 less than 21.16? 2882194.48 Sum 0.1802 and -6673938.647. -6673938.4668 What is the difference between -5121069737 and 7.8? 5121069744.8 What is -357 take away 502201293? -502201650 Add together -29.88341 and 0.0437711. -29.8396389 Put together 286998746104 and 3. 286998746107 Work out 963714626.9 + -0.6. 963714626.3 -47502637 - -2025812 -45476825 Work out -12.1658 + -4619766. -4619778.1658 What is -15.4 - -510.56519822? 495.16519822 -35.81841 - 14.491255 -50.309665 What is 527552 take away 12296198? -11768646 14202504.9495407 - 0.5 14202504.4495407 Put together -6202479375 and 773. -6202478602 -699907 + -5.059 -699912.059 Subtract 0.19 from -770993702285. -770993702285.19 5.5815780629 + 8 13.5815780629 Add together -5506.85396 and -19999. -25505.85396 Total of -62 and 1.6349584303. -60.3650415697 What is the distance between 17038194974 and 1446? 17038193528 Add 170755190 and 123292. 170878482 -839045428.7 - 2295 -839047723.7 What is 14183 - 463785? -
{ "pile_set_name": "DM Mathematics" }