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pose -4*x + 22 = -2*j, -2*x + j + 8 = -x. Let b be (12/10)/(171/285). Find the third derivative of -17*p**2 - 13*p**2 - x*p**b + 4*p**2 - 5*p**4 wrt p. -120*p Let a be (1/(-5) + -1)/((-6)/15). Let f(i) = i - 4. Let h be f(7). Find the first derivative of 0*k**h - 4*k**3 + 9*k**a + 5*k**3 - 12 wrt k. 30*k**2 Suppose 0 = -8*o + 10 + 22. Find the second derivative of -196*l + 67*l**o + 38*l + 44*l**4 - 7*l wrt l. 1332*l**2 Suppose -2*h - 2 = -4*y, 4*h - 10 = 2. Suppose -y*j = 5*u - 26, 0 = -3*u - 0*u + 4*j. Find the second derivative of -r**u + 23*r + 0*r**4 - r**4 - 9*r wrt r. -24*r**2 Let d(u) = 5*u + 2. Let m be d(5). Find the first derivative of 44*v**4 - 17*v**2 + 17*v**2 + m + 27 wrt v. 176*v**3 Let d(t) = -9*t**2 - t - 95. Let n = 388 + -387. Let k(c) = -c + 2. Let f(y) = n*d(y) - 5*k(y). Find the first derivative of f(q) wrt q. -18*q + 4 Let x(q) be the first derivative of -118*q**3/3 - q**2 - 54*q + 990. What is the derivative of x(f) wrt f? -236*f - 2 Let t(y) = 208*y**3 - 60*y**2 + 5*y + 11285. Let n(o) = 140*o**3 - 43*o**2 + 3*o + 7524. Let s(v) = 7*n(v) - 5*t(v). Differentiate s(k) with respect to k. -180*k**2 - 2*k - 4 Let v(i) = -i**2 + i - 5. Let b(u) = -47*u**4 + 13*u**3 + 10*u**2 + 6*u - 30. Let o(s) = -b(s) + 6*v(s). Find the third derivative of o(n) wrt n. 1128*n - 78 Let r be (((-2)/(-3))/1)/(16/432). Find the second derivative of 6*c**2 + r*c - 4*c**2 + 22*c - 3*c**2 - 1 + 19*c**3 wrt c. 114*c - 2 Let l(q) be the second derivative of 38*q**5/5 + q**4/4 - 751*q**3/6 - 801*q. Find the second derivative of l(m) wrt m. 912*m + 6 What is the derivative of -268*i - 18 - 956 + i**2 - 2211*i wrt i? 2*i - 2479 Let p(k) = k**2 - k. Let c(l) = 64*l**2 + 36*l. Suppose -9*u - 5*u = -42. Let f(i) = u*p(i) + c(i). Find the second derivative of f(r) wrt r. 134 Let y(k) = 4035*k + 7666. Let p(u) = -4043*u - 7665. Let n(l) = -5*p(l) - 6*y(l). Differentiate n(i) with respect to i. -3995 What is the second derivative of 19*n**4 - 4*n**3 - 5299*n - 8 - 20*n**4 - 37*n**2 + 55*n**2 + 8 wrt n? -12*n**2 - 24*n + 36 Let m(r) = -2*r**3 + r**2 - r + 5. Let z(p) = 1957*p**3 + 5*p**2 - 6*p + 6825. Let o(a) = 6*m(a) - z(a). What is the first derivative of o(i) wrt i? -5907*i**2 + 2*i Suppose 0*l + 1320 = 5*l. Let v be ((-6)/8)/(8 - (-1630)/(-200)). Find the third derivative of -4*y**v - 19*y**5 + 275*y**2 - l*y**2 wrt y. -1380*y**2 Find the second derivative of 87 + 2*c - 16921*c**3 + 25 + 20209*c**3 wrt c. 19728*c What is the third derivative of 2*n**3 + 229*n**4 - 6*n**4 - 5*n**3 + 6*n - 239*n**2 wrt n? 5352*n - 18 Let l(r) be the second derivative of r**6/2 + 447*r**2/2 - 1237*r + 2. Find the first derivative of l(c) wrt c. 60*c**3 Let r = 50 - 32. Let k be (1 - 214/(-4))/(3/r). What is the first derivative of 13 + k*n - 3 - 342*n wrt n? -15 Let h be 28/3*(-19 - -22). What is the first derivative of h*g + 16*g - 13*g + 29*g + 17 wrt g? 60 Let n be 1/3 + 98/21. Let g(c) = 5*c - 6. Let h be g(n). Find the second derivative of -h*a + 8*a - 7*a**5 + 5*a**5 - 9*a**5 wrt a. -220*a**3 What is the first derivative of -9*v**4 + 201*v**3 - 4029 + v**4 - 1495 - 203*v**3 + 10*v**4 - 1191*v**2 wrt v? 8*v**3 - 6*v**2 - 2382*v What is the third derivative of 390*j**3 - 4*j**2 + 623*j**3 + 50*j**2 + 256*j**3 wrt j? 7614 Let g(s) be the third derivative of -227*s**5/20 + 3587*s**4/12 - 2277*s**2 - s. What is the second derivative of g(l) wrt l? -1362 Suppose 10 = v - m, -3*m - 5 = v - m. What is the third derivative of -8*y**4 - 3*y**v + 26*y**2 - 111*y**2 - y**5 + 13*y**5 wrt y? 540*y**2 - 192*y Find the third derivative of 1138*o**2 + 580*o**2 - 316*o**2 + 114*o**3 wrt o. 684 What is the derivative of -429*b - 271*b - 677 - 5*b wrt b? -705 Let n(l) = -3*l**3 - 5*l**2 - 10*l - 6. Let s be n(-4). Find the first derivative of 39*p - 121*p + 51*p - s wrt p. -31 Suppose 16*r = 11*r + 5. What is the third derivative of -3*q**4 + r + 9*q**3 + 3 + 667*q**2 - 671*q**2 wrt q? -72*q + 54 Find the third derivative of 10 - 2159*r**2 + 4318*r**2 - 2192*r**2 + 792*r**3 wrt r. 4752 Let g(h) = -h - 9. Let p be g(-10). Let x be 15/(-10)*p*26/(-3). Find the first derivative of -30 + x*t**2 - 6*t**2 + 12 + 13*t**2 wrt t. 40*t Let t(b) be the first derivative of 694*b**3 + 794*b + 868. Differentiate t(d) wrt d. 4164*d Suppose 3 = 5*r + 3*v, 0 = 97*r - 100*r + 4*v - 4. Let u(l) be the third derivative of 0 - 17*l**2 + 1/2*l**4 + r*l + 1/3*l**3. Differentiate u(x) wrt x. 12 Suppose 6*d - 2*d - 64 = 0. Suppose -5*m + 6 = 3*i - 26, 2*m = -2*i + d. Find the first derivative of 11 - 4 + 6*l**m + 7 + 1 wrt l. 24*l**3 Let w(g) be the second derivative of 1857*g**8/56 - 5509*g**4/6 + 7369*g. What is the third derivative of w(c) wrt c? 222840*c**3 Let l = -238 - -239. Let b(j) = -2*j**5 + 6*j**3 + 48*j**2 + 22*j - 3. Let y(a) = a**3. Let c(d) = l*b(d) - 6*y(d). Find the second derivative of c(i) wrt i. -40*i**3 + 96 What is the third derivative of 7973*t**4 + 8079*t**4 - 27998*t**4 - 3605*t**2 + 3574*t**4 wrt t? -200928*t What is the third derivative of -111*k**2 + 56*k**2 + 58*k**2 + 505*k**5 - 1 + 46*k - 1890*k**5 wrt k? -83100*k**2 Differentiate -5057*f**3 - 562 - 655 - 2315 + 9511*f**3 with respect to f. 13362*f**2 What is the third derivative of 418*v**2 - 1059 + 2121 - 1397*v**4 - 1062 - 787*v**4 wrt v? -52416*v Find the second derivative of -155250*v**2 + 77658*v**2 - 6*v**4 + 77714*v**2 - v**3 + 4119*v wrt v. -72*v**2 - 6*v + 244 Let i(d) be the third derivative of -107*d**6/15 + 949*d**3/2 + 191*d**2 + 4*d. What is the derivative of i(y) wrt y? -2568*y**2 Let a(r) = 3*r**2 + r - 2. Let y be a(1). Suppose 3*f + y*f = 30. Differentiate 3 - f*k + 7*k - 6 wrt k. 1 Let z(l) be the second derivative of -85/6*l**3 + 0 - 15*l**2 + 10*l. Find the first derivative of z(r) wrt r. -85 Let w(p) = 375*p**2 - 2 - 238*p - 476*p - 9 + 358*p. Let o(b) = 125*b**2 - 119*b - 4. Let q(n) = -11*o(n) + 4*w(n). Find the second derivative of q(m) wrt m. 250 Let c = 185 - 163. Differentiate -61 - 96*s**4 + 24 - 31 - c wrt s. -384*s**3 Let d(u) be the second derivative of u**5/20 - 65*u**4/12 - 23*u**3/6 - 9045*u**2/2 - 10209*u. Find the first derivative of d(f) wrt f. 3*f**2 - 130*f - 23 Let b(y) be the second derivative of -1619*y**4/6 - 109*y**2/2 + 8300*y. Differentiate b(k) wrt k. -6476*k Let i(g) be the second derivative of 5461*g**5/20 - 75*g**3 + 2*g**2 + 6121*g. Find the second derivative of i(s) wrt s. 32766*s Let c(t) = 8*t**3 + t**2 - t + 1. Let q(l) = -118*l**3 - 15*l**2 + 15*l + 40. Let s(m) = -30*c(m) - 2*q(m). Differentiate s(p) wrt p. -12*p**2 Let f(g) = -2*g**2 - 18*g - 7. Let j be f(-8). What is the third derivative of -3*y**2 - 2*y - 203*y**5 + y - j*y**2 - 6*y**2 wrt y? -12180*y**2 Let z(o) = -5411*o + 2132. Let a(p) = 2704*p - 1064. Let d(g) = -7*a(g) - 3*z(g). Find the first derivative of d(s) wrt s. -2695 Let f(b) be the third derivative of 10*b**8 + b**5/12 - 7*b**3/6 + 92*b**2 + 11*b. Find the third derivative of f(x) wrt x. 201600*x**2 Let h be -3*294/(-18) - 0. What is the derivative of 43*k + 41*k**3 - 90*k - 104 + h*k wrt k? 123*k**2 + 2 Let l(a) be the first derivative of 9*a**4/4 + 94*a**3/3 + a**2 + 4980*a - 993. What is the first derivative of l(w) wrt w? 27*w**2 + 188*w + 2 Suppose 6 = 2*n - 0. Let l be (-21)/(-4) + 19/(-76). What is the second derivative of -33*j**l - 2*j**n + 267*j - 266*j + 2*j**3 wrt j? -660*j**3 Let j(q) be the first derivative of 2*q**7/7 - 1544*q**5/5 + 202*q**3 - 788. What is the third derivative of j(m) wrt m? 240*m**3 - 37056*m Let f be 111 + (3/(-2))/(5/(-10)). What is the second derivative of f*v**5 + 4*v + 88 - 58 - 45 + 17*v**5 wrt v? 2620*v**3 What is the third derivative of -64*o - o**2 + 78*o**3 - 293*o - 14*o**3 - o**5 + 67*o**3 wrt o? -60*o**2 + 786 Let b(n) = n + 2. Let o(r) = -20*r - 6. Let d = 114 - 113. Let h(i) = d*o(i) - b(i). Differentiate h(w) wrt w. -21 Let y(v) be the first derivative of 0*v**3 + 26 + 0*v**2 - 1/4*v**4 + 18/5*v**5 + 29*v. What is the first derivative of y(z) wrt z? 72*z**3 - 3*z**2 Let s(r) be the second derivative of -454*r**7/21 - 650*r**3/3 + 390*r + 1. Find the second derivative of s(i) wrt i. -18160*i**3 Let v(o) be the first derivative of 491*o**5/5 + 11*o**3/3 + 83*o**2/2 + 289. Find the third derivative of
{ "pile_set_name": "DM Mathematics" }
uppose 5*b = 2 + 8. Let u(w) = w - w + 2*w**b. Give u(f(m)). 8*m**2 Let a(q) = -3*q**2. Let i(s) be the second derivative of s**3/3 - 5*s. Give a(i(v)). -12*v**2 Let x(a) = 2*a**2. Let z = -1 - -6. Let m(f) = 11*f + 5. Let k(q) = -6*q + 18 + 16*q + 18*q + 11*q. Let w(n) = z*k(n) - 18*m(n). Calculate w(x(c)). -6*c**2 Let h(i) = 35*i**2. Let m(v) = v - 66 + 66. Give m(h(a)). 35*a**2 Let k(v) = 2*v - 3. Let h(y) = y + 1. Let d(b) = -16*b - 3. Let z(u) = 2*d(u) + 22*h(u). Let a(o) = 16*k(o) + 3*z(o). Let p(q) = -3*q**2. Calculate p(a(c)). -12*c**2 Let b(v) = 6*v. Let l(x) = 5*x - 6. Let w(k) = 11*k - 13. Let d(g) = -13*l(g) + 6*w(g). Give b(d(h)). 6*h Let p(f) = f**2. Suppose 4 = 3*v - 2*v. Suppose -6 = v*s - 14. Let w(k) = 5*k**2 + k**2 - s*k**2. Calculate w(p(u)). 4*u**4 Let f(q) be the third derivative of 0 + 6*q**2 + 1/30*q**5 + 0*q**4 + 0*q**3 + 0*q. Let d(h) = -5*h**2. Calculate f(d(l)). 50*l**4 Suppose 3*z - 2 = 2*z. Let s(v) = v**2 - v - 3. Let g be s(3). Let p(c) = -g*c + 8*c - z*c. Let o(l) = l**2. Determine p(o(b)). 3*b**2 Let y = 4 - 2. Let a(h) = h + h**y - h. Let t(b) be the second derivative of -b**3/3 + b. Calculate t(a(k)). -2*k**2 Let v(s) be the second derivative of 0 - 1/4*s**4 + 0*s**3 + 0*s**2 - 5*s. Let u(p) = 2*p**2. What is v(u(n))? -12*n**4 Let n(u) = 192*u**2. Let h(q) = -2*q**2. Give h(n(j)). -73728*j**4 Let j(a) = 585*a - 585*a - 9*a**2 + 2*a**2. Let g(q) = 5*q. What is j(g(p))? -175*p**2 Let p(u) = -2*u. Let t(z) be the third derivative of z**8/2240 + 2*z**5/15 - 5*z**2. Let h(i) be the third derivative of t(i). What is p(h(m))? -18*m**2 Let f(n) = -117*n. Let q(i) = -2*i**2. Give q(f(l)). -27378*l**2 Let i(h) = -6*h**2. Let f(x) = -106*x + 211*x - 97*x. Calculate f(i(k)). -48*k**2 Let t(c) = -4*c**2. Let d = 22 - 17. Let u(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 1/30*z**d + 2*z**2. Give t(u(l)). -16*l**4 Let i(u) = u. Let a(q) = q. Let m(n) = 11*n + 1. Let x be m(1). Let g(t) = 2*t. Let h(v) = x*a(v) - 5*g(v). Determine i(h(d)). 2*d Let o(w) = w**2. Let a(g) = g + 7*g + 3*g - 4*g + 3. Calculate a(o(n)). 7*n**2 + 3 Let u(y) = 230*y - 3. Let k(t) = 2*t. Determine k(u(m)). 460*m - 6 Let a(t) = -17*t - 11*t - 10*t. Let j(w) = -w. Calculate j(a(i)). 38*i Let n(z) = -z. Let w be (-3 + 8)*(-6)/(-15). Let a(d) = 7*d - 5*d + w*d. Determine n(a(f)). -4*f Let b(n) be the first derivative of 0 + 3 - n**3 + 2*n**3. Let h(d) = -4*d**2. Determine b(h(q)). 48*q**4 Let r(v) be the third derivative of -v**6/180 - v**3/2 + 5*v**2. Let t(d) be the first derivative of r(d). Let n(m) = -m**2. What is n(t(z))? -4*z**4 Let a(x) = -x**2 - 2*x. Let o(l) = 3*l**2 + 7*l. Suppose -4*h = h - 10. Suppose 0*m + m = h. Let q(z) = m*o(z) + 7*a(z). Let n(f) = -2*f**2. Calculate q(n(p)). -4*p**4 Let c(h) = -2*h. Let p(s) be the third derivative of -s**5/15 - 24*s**2. What is c(p(t))? 8*t**2 Let r(h) = 4*h - 26*h + h + 6*h. Let w(u) = -2*u. Give r(w(n)). 30*n Let i(o) = 4*o**2. Let b(x) = 3*x**2. Give i(b(h)). 36*h**4 Let k(g) be the second derivative of 7*g**6/720 - g**4/3 + 3*g. Let j(v) be the third derivative of k(v). Let t(q) = q**2. Give j(t(o)). 7*o**2 Suppose 0*x = y + x - 6, -3*y = -3*x - 24. Let s(m) = -7 + 2*m**2 + 0*m**2 + y. Let w(n) = 2*n**2. Calculate s(w(o)). 8*o**4 Let s(j) = -j**2 - 269. Let z(c) = -17*c**2. Calculate s(z(w)). -289*w**4 - 269 Let q(h) = -45*h**2. Let b(u) be the third derivative of -u**5/60 + 28*u**2. Determine b(q(t)). -2025*t**4 Let m(r) be the second derivative of -r**3/6 + r. Let q(o) = 5*o**2 + 5*o + 5. Let a(k) = -k - 1. Let j(d) = 5*a(d) + q(d). What is j(m(f))? 5*f**2 Let n(c) = 2*c**2. Let i(f) = 126*f**2 + 1. Give i(n(h)). 504*h**4 + 1 Let c(t) = 5*t**2. Let w(z) = -50*z**2. Give w(c(l)). -1250*l**4 Let h(o) = o - 1. Let f(n) = 2*n - 3. Let j(s) = -4*f(s) + 11*h(s). Let x be j(1). Let g(u) = u - x*u + 2*u. Let t(r) = r. Calculate t(g(p)). -p Let g(n) = -78 + 78 + 3*n**2. Let y(v) = 2*v. Calculate y(g(x)). 6*x**2 Let t(y) = 2*y**2 - 5*y**2 - 5*y**2. Let n(f) = -2*f. Determine n(t(j)). 16*j**2 Let n(m) = -9*m - 641. Let i(h) = 2*h. Calculate n(i(k)). -18*k - 641 Let u(k) be the first derivative of k**3 + 11. Let s(h) = 27*h. Give s(u(l)). 81*l**2 Let r = -3 + 4. Let n(o) = 2 - o + r - 3. Let d(v) = -v + 4*v - 6*v. Give d(n(l)). 3*l Suppose -8 = -3*v + v. Let o(a) = -v*a + 2*a + 5*a - 5*a. Let l(r) = 17*r. Determine o(l(w)). -34*w Let t(r) = 17*r. Let w be (-16)/(-24) - (-4)/3. Let p(s) = 32*s - 2*s**w - 32*s. Calculate p(t(u)). -578*u**2 Let u(f) = 2*f. Let q(s) be the first derivative of 9*s**2/2 + 3. Determine u(q(b)). 18*b Let j(g) = 4*g. Let p(z) = 2*z. What is j(p(w))? 8*w Let v(y) = -5*y. Let n(m) = -17 + 17 - 2*m + 4*m. Give v(n(l)). -10*l Let q(x) = x**2 + 4*x + 2. Let n be q(-4). Let f(v) = -3*v**n - 5 + 5 + 5*v**2. Let s(l) = -4*l**2. Calculate s(f(z)). -16*z**4 Let t(u) = -3*u**2. Suppose 5*g + 2 - 22 = 0. Suppose -k - k = -g. Let d(h) = h**2 + h**2 + 0*h**k. What is d(t(a))? 18*a**4 Let l(d) = -15*d + 1. Let z(j) = -11*j**2. What is z(l(y))? -2475*y**2 + 330*y - 11 Let n(r) = 7*r - 4*r - 5*r. Let i(f) = 7*f + 5. Let z(o) = -10*o - 7. Let v(x) = 7*i(x) + 5*z(x). What is n(v(w))? 2*w Let k = 32 - 23. Let s(h) = 0*h + k*h - 3*h. Let j(x) = -x**2. Give j(s(f)). -36*f**2 Let o(c) = c**2. Let u(s) = -3*s + 4*s - 9*s - 9*s. Determine u(o(x)). -17*x**2 Let j(g) = -2*g - 5. Let t(w) = -2*w - 6. Let f be (10/(-3))/((-12)/18). Let v(q) = f*t(q) - 6*j(q). Let m(k) = -3*k**2. Determine v(m(x)). -6*x**2 Let c(t) = -439*t. Let w(j) = -2*j**2. Determine w(c(h)). -385442*h**2 Let z(f) = -3*f**2. Let m(d) = 114*d**2. Calculate z(m(y)). -38988*y**4 Let q(l) = -2*l**2. Let n(m) = -m - 10*m - 4*m. Calculate n(q(w)). 30*w**2 Let i(t) = 2*t. Suppose -6*j + 3*j = 3*g - 3, 3*g + j + 3 = 0. Let p = g + 6. Let x(v) = -p*v**2 - 6*v - 3*v**2 + 6*v. What is i(x(s))? -14*s**2 Let y = 14 + -12. Let n(x) = 4*x**2 + 0*x**2 - y*x**2. Let s(r) = 2*r. Determine n(s(c)). 8*c**2 Let c(d) = -d**3 - 6*d**2 + 8*d + 10. Let m be c(-7). Let v(p) = p - 3 + m - 2*p. Let x(q) = -2*q**2. What is v(x(w))? 2*w**2 Let f(q) = -183*q. Let c(g) = -g**2 - 48. What is c(f(o))? -33489*o**2 - 48 Let t(m) = 15*m**2. Let d(i) = i**2 + 5*i + 5. Let a(u) = -u**2 - 4*u - 4. Let g(o) = -5*a(o) - 4*d(o). Determine g(t(k)). 225*k**4 Let k = 9 + -7. Let m(d) = -d**2 - d**2 + 0*d**2 - d**k. Let p(s) = -2*s**2. What is p(m(i))? -18*i**4 Let s(k) = 167*k**2 + 4. Let t(o) = -o. Give t(s(c)). -167*c**2 - 4 Let q(c) = -2*c. Let u be ((-10)/(-15))/((-2)/(-6)). Let l(s) = -2*s + 2*s + 8*s**u - 3*s**2. What is l(q(m))? 20*m**2 Let j(s) = 616*s**2. Let b(k) = -2*k**2. What is j(b(z))? 2464*z**4 Let i(q) = 1. Let r(t) = t + 1. Let y(j) = -i(j) + r(j). Let n(w) = -15907 + 15907 - 2*w. Give n(y(g)). -2*g Let g(d) = 14*d**2. Let t(i) = -554*i**2. Calculate t(g(p)). -108584*p**4 Let o(k) = -1760*k**2. Let j(v) = -v. Give o(j(w)). -1760*w**2 Let a(j) = 9*j - 3*j - 13*j. Let m(s) = 2*s**2 - 4. Let r(x) = -4*x**2 + 9. Let t(d) = -9*m(d) - 4*r(d). Calculate a(t(v)). 14*v**2 Let u(w) = 2*w**2. Let k(v) = 2*v + 49. Calculate k(u(r)). 4*r**2 + 49 Let t(p) = 58 - p - 58. Let o(h) = -19*h**2. Give o(t(i)). -19*i**2 Let a(r) = 3*r**2. Suppose 4*g = 2*g + b - 3, 5*g - 6 = -2*b. Let d(i) be the first derivative of g*i - 2 + 1/3*i**3 + 0*i**2. Determine d(a(s)). 9*s**4 Let c(y) = 3*y - 6. Let i(l) = -11*l + 17. Let j(t) = 10*t - 16. Let q(x) = -3*i(x) - 4*j(x). Let d(u) = 13*c(u) + 6*q(u). Let a(v) = 2*v**2. What is d(a(n))? -6*n**2 Let c(r) = -r**2 - 3*r + 3. Let b(x) = 4*x**2 + 14*x - 14. Let d(n) = 3*b(n) + 14*c(n). Let q = 0 - -2. Let m(p) = p**2 - 2*p**2 - 2*p**q. Determine m(d(s)). -12*s**4 Let v(a) = 321*a**2 - 2. Let w(b) = b. What is v(w(j))? 321*j**2 - 2 Let n(m) = 14*m**2. Let a(f) = f - 2. Let d(v) = v - 2. Let j(s) = -4*a(s) + 5*d(s). Let k(b) = -1. Let x(u) = 2*j(u) - 4*k(u). Give n(x(c)). 56*c**2 Let l(t) = -t**2. Let d(z) = -2*z + 7*z + 26*z. What is d(l(a))? -31*a**2 Let g(b) = -31*b + 54*b - 20*b. Let y(z) = 8*z. Determine y(g(j)). 24*j Let h(p) = -2*p. Let u(c) be the first derivative of c**3/3 - 20. Give u(h(k)). 4*k**2 Let b(v) = 8*v**2 - 4*v**2 - 3*v**2. Let w(n) = 2*n**2 - n**2 + 3*n - 2*n - 1. Let j(k) = 20*k**2 + 18*k - 18. Let z(r) = 2*j(r) - 3
{ "pile_set_name": "DM Mathematics" }
t c? -3462*c Let x(p) be the second derivative of -p**5/20 + 2408*p**3/3 + 1759*p**2 + 8093*p. What is the first derivative of x(f) wrt f? -3*f**2 + 4816 Differentiate -1554 - 505 - 1631 + 319 - 2034*u + 252 with respect to u. -2034 Let l(o) be the second derivative of 21*o**2 - 209/12*o**4 + 28*o + 2 + 1/2*o**3. Find the second derivative of l(r) wrt r. -418 Suppose 0 = -2*a + k + 40, 0 = -11*a + 7*a - 6*k + 96. Find the second derivative of -a*n**4 - 164*n + 12*n**4 + 5*n**3 + 11*n**4 - 23*n**3 wrt n. 24*n**2 - 108*n Let k(w) = -3*w - 46. Let z be k(-16). Suppose 4 = 3*i - a, z*a = 3*a - 2. Find the third derivative of -2*y**3 - y**3 + 8*y**2 + 2*y**i + 5*y**3 wrt y. 12 Let n(o) = -27*o**3 + 52*o**2 - 45*o - 45. Let u(j) = 18*j**3 - 35*j**2 + 30*j + 31. Let k(x) = 5*n(x) + 8*u(x). Find the second derivative of k(p) wrt p. 54*p - 40 What is the second derivative of -1285*d**5 - 661*d + 277*d**5 - 569*d**5 wrt d? -31540*d**3 Differentiate -723*g - 55 - 674*g + 35*g + 130*g wrt g. -1232 Let h(x) be the third derivative of -1741*x**6/120 - 3343*x**5/60 - 2076*x**2. What is the third derivative of h(a) wrt a? -10446 Suppose 0 = 4*b + 3*s + 2*s - 216, -2*b - 3*s + 110 = 0. Differentiate 277*y - b - 27 - 270*y + 6*y**3 with respect to y. 18*y**2 + 7 Differentiate 928 + 59*k + 1906 - 1439*k with respect to k. -1380 Let h(y) be the third derivative of -5 - 1/30*y**5 + 0*y**6 - 1/70*y**7 + 0*y - 10*y**2 + 0*y**4 - 17/2*y**3. What is the first derivative of h(g) wrt g? -12*g**3 - 4*g Let t(m) be the second derivative of 81*m**6/2 + 247*m**2/2 + 2*m + 207. What is the first derivative of t(f) wrt f? 4860*f**3 Find the first derivative of -1634*a + 2562*a - 5668 - 1723*a - 900*a wrt a. -1695 Let s(i) be the first derivative of 0*i**5 + 12*i - 1/3*i**6 - 57 + 43/4*i**4 + 0*i**2 - 1/3*i**3. What is the third derivative of s(u) wrt u? -120*u**2 + 258 Let g(h) be the first derivative of -1437*h**4/2 + 3758*h + 2839. Differentiate g(p) wrt p. -8622*p**2 Let y(z) be the second derivative of -19/12*z**4 - 32/3*z**3 - 137 + 1/10*z**5 - 2*z + 0*z**2. Find the second derivative of y(w) wrt w. 12*w - 38 Let v(m) be the first derivative of -m**2 - 49/3*m**6 + 0*m**4 + 0*m**5 + 48*m + 16 + 0*m**3. What is the second derivative of v(t) wrt t? -1960*t**3 Let o(v) be the first derivative of -16*v**6/5 + 139*v**2/2 - 71*v - 136. Let b(j) be the first derivative of o(j). What is the derivative of b(i) wrt i? -384*i**3 Let g be (0 - 1)/(3/(-9 - 6)). Suppose -5*s = y - 0 + 7, g*s - 2 = -4*y. What is the second derivative of -5*t**2 - y*t**2 + 8*t**2 - 5*t + 8*t**3 wrt t? 48*t Let q(j) be the first derivative of -26*j - 17/2*j**2 + 1/2*j**3 + 31. Let s(o) be the first derivative of q(o). Differentiate s(g) with respect to g. 3 Suppose -5*y + 1285 + 1923 = -3*u, u - 4 = 0. Suppose -2690 + 178 = -4*l. What is the derivative of -y*z + l*z + 1 + 21 wrt z? -16 What is the third derivative of 43*m**4 - 2*m + 33*m**4 + 3*m**5 - 1 + 56*m**4 - 41*m**4 + 2467*m**2 + m**3 + 165*m**4 wrt m? 180*m**2 + 6144*m + 6 Suppose 7*f + 13 - 27 = 0. Find the first derivative of -3*o**2 + 163 + 263 - f*o - 328 wrt o. -6*o - 2 Let j(k) = 5615*k**4 + 14*k**2 + 14*k + 3719. Let l(y) = -1872*y**4 - 4*y**2 - 4*y - 1239. Let u(o) = 2*j(o) + 7*l(o). Differentiate u(d) wrt d. -7496*d**3 Suppose -2*c = -5*c - 36. Let r(d) = 1. Let v(o) = -18*o + 42. Let z(w) = c*r(w) - v(w). What is the first derivative of z(b) wrt b? 18 Let k(v) be the second derivative of v**4/12 - v**3/6 - 9*v**2/2 + 6*v. Let f be k(5). What is the third derivative of -23 + 9 + 14 - 34*u**4 - f*u**2 wrt u? -816*u Let a = 184 - 173. Find the second derivative of 15302*k**5 + a*k + 5 - 15165*k**5 + 0 wrt k. 2740*k**3 Let i = 67 + -14. Find the third derivative of 95*y**3 - 189*y**3 - 53*y**2 + 96*y**3 - i*y**5 wrt y. -3180*y**2 + 12 What is the third derivative of -64*k**2 + 160*k**3 + 63*k**2 - 2735 - 4535*k**3 wrt k? -26250 Let b(t) = -9*t - 7. Let h(z) = 122*z + 93. Let l(s) = 30*s + 23. Let o(i) = 2*h(i) - 9*l(i). Let a(r) = 17*b(r) - 6*o(r). Differentiate a(v) with respect to v. 3 Let i(j) = -2*j - 32. Let g be i(-17). What is the second derivative of 1 - g + 20*z - z**5 + 24*z**5 - 72*z**5 wrt z? -980*z**3 What is the second derivative of 2*z**4 + 18628*z + 499*z**2 + 158*z**2 + z**3 - 13958*z - 3*z**4 wrt z? -12*z**2 + 6*z + 1314 Let r(b) be the second derivative of b**6/15 - 811*b**4/12 - 28*b**3 - 387*b - 3. What is the second derivative of r(l) wrt l? 24*l**2 - 1622 Let r(v) = 8456*v**2 + 227*v + 93. Let d(c) = -4227*c**2 - 105*c - 47. Let q(g) = -13*d(g) - 6*r(g). Find the second derivative of q(y) wrt y. 8430 Let s(l) be the third derivative of 89*l**5/4 + 1091*l**4/8 - 3468*l**2 + 2*l. Find the second derivative of s(d) wrt d. 2670 Let d(h) = -2 + h**3 - 1 + 5*h + 2*h**2 - 7*h**2 + 1. Let v be d(4). Find the third derivative of -500*b**5 - 11*b**v - 8*b**6 + 500*b**5 wrt b. -960*b**3 Find the first derivative of -6*d**4 + 279722 + 330*d - 278300 + 4*d**3 - 6*d**3 wrt d. -24*d**3 - 6*d**2 + 330 Let x(i) = -16*i - 78. Let r be x(-5). What is the second derivative of -42*w - w**r - 635*w**5 + 632*w**5 + 5*w**2 - 2*w**2 wrt w? -60*w**3 + 4 Let g be 6/(-3)*6*1/(-4). Suppose 4*r - 22 = -q, -g*q = -r - 5*q + 9. What is the third derivative of 7*c**r - c**2 + 13*c**2 + 12*c**5 - 3*c**5 wrt c? 960*c**2 Suppose 0 = 6*s + 10 - 4. Let m = 10 + s. What is the derivative of -7 - m*n**4 - 4 - 1 wrt n? -36*n**3 Let i(y) = -1391*y**5 + 5*y**3 + 9892*y**2. Let b(w) = -4172*w**5 + 12*w**3 + 29675*w**2. Let a(g) = -3*b(g) + 8*i(g). Find the third derivative of a(c) wrt c. 83280*c**2 + 24 What is the third derivative of j**6 - 17*j**4 - 9349*j**2 - 279*j**3 + 5*j**4 + 276*j**3 + 0*j**6 - 4*j**6 wrt j? -360*j**3 - 288*j - 18 Let l(f) be the first derivative of -17*f**6/6 + 2*f**5/5 + 9*f**2 - 2*f - 1492. Find the second derivative of l(g) wrt g. -340*g**3 + 24*g**2 Let z(m) be the first derivative of 1139*m**5/5 + 767*m + 1202. What is the first derivative of z(a) wrt a? 4556*a**3 Let x(v) = -9*v - 104. Let t be x(-12). What is the third derivative of -33*d**2 + 197*d**4 - 147*d**2 - 307*d**t wrt d? -2640*d What is the derivative of -2788*b**2 + 1695 + 108112*b - 108112*b wrt b? -5576*b Suppose -9*r + 42 = -2*r. Find the third derivative of 111*m**2 - 107*m**r - 98*m**2 + 24*m**6 wrt m. -9960*m**3 Find the second derivative of 847*w**5 - 1450*w**3 - 7*w + 1450*w**3 - 224 - 4528*w**5 - 1074*w**5 wrt w. -95100*w**3 Suppose 0 = 4*h + 6*h + 50. Let v be 2 - (h - (-5 - 0)). Find the first derivative of 0*w**2 + 8*w**2 + 11*w**v - 21 wrt w. 38*w Let b(j) be the second derivative of -4178*j**7/21 + j**4/12 - 7*j**3/2 - j**2/2 - 5*j - 751. Find the third derivative of b(i) wrt i. -501360*i**2 Differentiate 289*x**4 - 19253 + 211*x**4 + 21246 - 4*x**3 + 4*x**3 + x**2 wrt x. 2000*x**3 + 2*x Find the second derivative of 41*m - 215 + 11*m - 44*m + 2984*m**2 wrt m. 5968 Let x(q) = 5*q**2 - 8*q + 4. Let n be x(1). Find the third derivative of 43*o**3 - 92*o**2 + o**5 + n + 40*o**3 + 1 - 86*o**3 wrt o. 60*o**2 - 18 Let x(u) = -2588*u**3 - 6*u**2 + 34*u - 14922. Let c(g) = 431*g**3 + g**2 - 6*g + 2488. Let h(q) = 34*c(q) + 6*x(q). Differentiate h(p) with respect to p. -2622*p**2 - 4*p Let l = 848 + -846. Suppose -w = 4*i - 10, -3*i = -w + i - 6. Differentiate 2*f**2 - 2 - 10*f**l - w - 1 with respect to f. -16*f Suppose 0 = 2*k + 3*k - 35. Suppose k*u - 72 = u. What is the second derivative of 1178*s**3 - u*s**4 - 1178*s**3 - 9*s wrt s? -144*s**2 What is the second derivative of 58*z**4 - 108*z**2 + 22*z**4 - 1035*z - 98*z**4 + 19*z**4 wrt z? 12*z**2 - 216 Let t be (-1)/(4/(-4559 + 3)). What is the second derivative of 1139 + 66*r - 129*r**3 - t wrt r? -774*r Let o(u) be the second derivative of 0*u**2 + 0*u**3 - 1 - 5/6*u**4 + 0*u**5 - 28*u + 46/15*u**6. What is the third derivative of o(f) wrt f? 2208*f Let k(x) be the second derivative of -x**6/20 + 35*x**5/24 + 61*x**4/4 + 202*x. Let b(f) be the third derivative of k(f). What is the derivative of b(z) wrt z? -36 What is the second derivative of -2779*l**3 + 797*l - 202969 + 202969 wrt l? -16674*l Let v(p) be the second derivative of 73/42*p**7 - 98*p + 0*p**4 + 0*p**5 + 95/6*p**3 + 0 + 0*p**2 + 0*p**6. W
{ "pile_set_name": "DM Mathematics" }
**8 assuming f is positive. f**(9/7) Simplify (i**(-15)*i*i*i*i/(i/(i*i*i**(12/11))*i*i)*i)**(14/9) assuming i is positive. i**(-1526/99) Simplify b**(-9)*b*b/(b/b**(-4))*(b**4*b)/(b*(b**(-9)*b)/b*b*b) assuming b is positive. 1/b Simplify h**(-5)*h/(h*h**(-2/29)*h)*(h/(h/(h**(-5)*h)))**13 assuming h is positive. h**(-1680/29) Simplify (d*d**(-2/7)*d)**37*d**5/((d*d**(2/17))/d) assuming d is positive. d**(8129/119) Simplify (b**(-6/7)*b**(1/2))/(b**(-11)*b**13*b) assuming b is positive. b**(-47/14) Simplify (h*h**2)**(3/43)/(h**(-3))**(9/10) assuming h is positive. h**(1251/430) Simplify i**11/i*i*i/i**(2/7)*i/(i*i**(-6/17)*i*i*i)*(i**(-5/2)/i)/i*i assuming i is positive. i**(1325/238) Simplify (i**(-19)/i*i**(9/2))/((i/(i/(i*(i/i**(21/2)*i)/i)))/(i/((i/i**23*i)/i))) assuming i is positive. i**16 Simplify (((d/(d*d**(-10)))/d)/(d*d*d**8))/(d**(-1/4)/d)**(-1/2) assuming d is positive. d**(-13/8) Simplify ((p*p**(-6))/(p**(-3/7)*p))/(p/((p**(5/2)*p)/p*p*p)*p/((p**(-4/19)*p)/p)) assuming p is positive. p**(-873/266) Simplify z**(1/12)*z*(z/z**(6/5))/z*z*z*z*(z**(-7/3)/z)/(z/(z**(-20)/z)) assuming z is positive. z**(-449/20) Simplify (o/(o*o**(1/3)*o*o))**48*(o**11/o)/((o*o**(-15))/o) assuming o is positive. o**(-87) Simplify ((i*i**(-2/27))/(i/((i/i**33)/i)))/(((i**(-4)/i)/i)/i*i)**(-5) assuming i is positive. i**(-1703/27) Simplify (((x**0)**(1/12))**(-5/4))**(-5/2) assuming x is positive. 1 Simplify ((z**(-8)*z**7)**26)**(-15) assuming z is positive. z**390 Simplify o/o**(-21)*o**(-9)*(o**(-1/5))**(-33) assuming o is positive. o**(98/5) Simplify (l**(8/3))**(-3/7)/(l**15/(l*l**(3/11)*l)) assuming l is positive. l**(-1068/77) Simplify ((z**(1/13)/z)/z*z*z*z**(11/5)/z*z)/(z**(2/57)/(z*z**3)) assuming z is positive. z**(23126/3705) Simplify ((g**2)**(9/2)*(g/g**(-4))/g*(g*g**(-6))/g)**(-25) assuming g is positive. g**(-175) Simplify (((a*a**(2/5))**13)**(2/109))**(-14) assuming a is positive. a**(-2548/545) Simplify (s**11*s/(s**(-5)*s))/((s/(s/s**3))/s*s*s/s**(-5)) assuming s is positive. s**7 Simplify (h**(5/2)*h/(h*((h**20/h)/h)/h))/((h**17*h)/h**(-2/17)) assuming h is positive. h**(-1109/34) Simplify r*(r**(1/5)/r)/r*r*r**(-5/4)*r*r**(-1/9)*r*r**(-16)/r assuming r is positive. r**(-2909/180) Simplify (((c*c/c**(-13))/c)/c**(-11))/(c*c*c/(c/c**(-4/9)*c)*c*c)**(1/42) assuming c is positive. c**(9427/378) Simplify (y**(2/7)/(y/(((y*y/(y/(y*y/((y*y**(-9))/y)*y*y*y)))/y)/y)))**(-1/9) assuming y is positive. y**(-86/63) Simplify ((h/h**(-35))/h**14)**(-4/15) assuming h is positive. h**(-88/15) Simplify ((x*x**6)/(x/(x*x**(2/97))))**(-2/15) assuming x is positive. x**(-454/485) Simplify ((j*j*(j/(j**(-2/3)*j))/j*j**7/j)**(-2/45))**1 assuming j is positive. j**(-46/135) Simplify (b**28/(b/(b**(-9/8)/b)))**39 assuming b is positive. b**(7761/8) Simplify ((m**(-2/21)*m*m**(-6))/(m**(-1/2))**(-17))**(-25/4) assuming m is positive. m**(14275/168) Simplify (((((d*d**7)/d)/d)**(2/91))**(2/33))**(4/39) assuming d is positive. d**(32/39039) Simplify ((y*y*y*y/y**11)/((y/y**(-10))/y))/(y**(-2/7)/(y**(-2/5)*y)) assuming y is positive. y**(-564/35) Simplify (d/(d/((d/(((d/(d*d**(-5)*d))/d)/d))/d)))/d**(-2/19)*((d/d**(-1/11))/d)/(d/d**(-6/11)) assuming d is positive. d**(-700/209) Simplify (s/(s/(s/((s*s/(s/s**(15/7))*s)/s)*s))*s**7)/(s/s**(2/5)*s)**26 assuming s is positive. s**(-1251/35) Simplify (b**16/b*b)/(b**(-4/11)/b)*((b/(b*b/(b/b**(-11))))/b)/(b*(b**(-2/9)*b)/b*b) assuming b is positive. b**(2533/99) Simplify (b/(b*b**(1/6)*b*b)*b**0)/((b*b**(-2/9))/(b*b**(2/3))) assuming b is positive. b**(-23/18) Simplify ((k**(-1))**(2/27)/(k/((k*k*((k**6*k)/k)/k*k*k)/k)*(k*k**3*k)/k))**44 assuming k is positive. k**(3476/27) Simplify (i**(-14)/i)/(i*i/((i**(-6/17)/i)/i)*i)*(i*i**(4/5)/i)**(6/29) assuming i is positive. i**(-49762/2465) Simplify ((r*r/((r*r**3*r)/r))**(-3/23)*(r**(1/6)/r)**12)**(-12) assuming r is positive. r**(2688/23) Simplify ((s**(-4/5)/(s/(s**(-8)/s*s)*s))/((s**(-9/2)/s)/s*s*s**(-3/4)*s))**(9/5) assuming s is positive. s**(-999/100) Simplify (((m/(m**(-4)*m))/(m*m/(m*m**(3/7))))/(m**2)**(-2/13))**11 assuming m is positive. m**(3740/91) Simplify l**(-1/14)*l*l*l**(6/5)*l*(l**(-4/7)*l)/(l*(l/l**(2/29))/l*l) assuming l is positive. l**(5331/2030) Simplify (((o/o**(-2/5))/o)**(-6/23)*(o/(o/(o**(-1)*o))*o)**(-24/5))**18 assuming o is positive. o**(-10152/115) Simplify (s**(-2/9)*s**(3/7))/(s**(-1/8)*s)**(-15/2) assuming s is positive. s**(6823/1008) Simplify y/(y**(-3)*y)*y*y*y**(1/10)*(y*y**(-4))**(-10/13) assuming y is positive. y**(963/130) Simplify (u**(1/16)/((u/(u*u/(u**(-9)*u)))/u))/(u**(-10)*u**(-11)) assuming u is positive. u**(497/16) Simplify (z**(-2/11))**33*(z*z/(z**(-12)*z)*z)/z*z/(z/z**(-3/11)*z) assuming z is positive. z**(63/11) Simplify (o*o**(3/5))**27/(o/(o/((o**(-5)/o)/o*o*o)))**(-3/5) assuming o is positive. o**(201/5) Simplify (a*a/(a/(a**(2/13)*a))*a)**(10/9)*(a*a**(-7))**8 assuming a is positive. a**(-5206/117) Simplify r*(r/((r*r*r*r*r**(-26))/r))/r*r*r**15*r**9/r**0 assuming r is positive. r**49 Simplify s**(6/11)/s**11*(s/((s**(-23)*s)/s)*s)**43 assuming s is positive. s**(11710/11) Simplify (((l*l**4*l)/l*l)/l*(l/(l*l/(l*l**(-21)/l)))/l)/(l**11/(l/(l*l*(l*l*(l*l/(l/(l*l*l*l/(l/(l/(l**(3/26)/l))))*l*l))/l)/l))) assuming l is positive. l**(-881/26) Simplify (k*k**(-3))**(-2/11)*(k/(k*k*k**1))**(-5/4) assuming k is positive. k**(63/22) Simplify ((s**15)**(-2/19))**(-36) assuming s is positive. s**(1080/19) Simplify (l**4/l**(2/5)*(l*l/(l/(l/(l/(l*l*l/(l**4/l))))))/l*l**(1/5))**(2/61) assuming l is positive. l**(38/305) Simplify (((x*x**0)/x*x**(3/8))/(x**(2/5)*x*x/(((x*(x*x**(-1/3))/x)/x)/x*x)*x))**(-18) assuming x is positive. x**(1209/20) Simplify (u*u*u*u**(2/111)/u*u*u*(u**3/u)/u)/(u**25*u/((u*u**(-2))/u)) assuming u is positive. u**(-2551/111) Simplify (l/(l/((l/(l**(1/12)/l))/l)))**(-30)*l*l**(-10)*l*l*l/(l*l**(1/11))*l assuming l is positive. l**(-739/22) Simplify q*q*q**(1/4)*q**(2/7)/q*q*q*(q/((q*q**(-1/3)*q*q)/q)*q)/((q**22/q)/q) assuming q is positive. q**(-1355/84) Simplify ((n/n**(-2))**(1/68)/(n**5*n**(-4/3)))**(-46) assuming n is positive. n**(16997/102) Simplify d*d/(d**(-1/6)/d*d)*d*d**(12/5)*d*d**(-8/3)*d/(d*d*(((d*d/(d*d/d**11))/d*d*d)/d)/d*d) assuming d is positive. d**(-81/10) Simplify (a*a/a**(-2/15)*a**11*a)**14 assuming a is positive. a**(2968/15) Simplify (((p/((p*p**(-7)/p*p)/p))/(p**(1/5)/p*p*p))**10)**(-12) assuming p is positive. p**(-816) Simplify ((u**4/(u/(u/(u*u**(3/5)*u)*u)))**(-2/13))**(-30) assuming u is positive. u**(144/13) Simplify (s**(-1/6))**47/(s/(s/(s/s**(-2/11)))*s)**30 assuming s is positive. s**(-4837/66) Simplify ((i*i**(-5/6))/i*i)/(i**7/i)*(i*i**(-7)/i)**28 assuming i is positive. i**(-1211/6) Simplify ((q/(q/((q*q*(q**2/q)/q)/q)))**4)**(-22) assuming q is positive. q**(-88) Simplify (d**(-34)*d**(-41))/(((d/(d*d*d*d/(d*(d*(d/(d*d**21))/d)/d)))/d)/(d*d*d**(-15)*d)) assuming d is positive. d**(-62) Simplify (p**(-6)*p**(3/5)/p*(p**(-3)*p)**(-16/9))**(-3/28) assuming p is positive. p**(32/105) Simplify (s/(s**(2/7)*s))/(s/s**19)*s**(2/21)/s*s*(s*s**(-7)/s*s*s)/s assuming s is positive. s**(248/21) Simplify (g**(-1/2))**22*(g**(-3))**(2/57) assuming g is positive. g**(-211/19) Simplify (d**6/(d*d**(2/7))*d**0/d**(2/5))**(1/3) assuming d is positive. d**(151/105) Simplify (t**(-8)/((t**(5/4)/t)/t))**(1/3) assuming t is positive. t**(-29/12) Simplify ((g**(-2/7)/g)/(g**(-20)/g*g))**25 assuming g is positive. g**(3275/7) Simplify (i**3*i*i**0)/(i**6/(i/(i*i/((i/(i*i/(i**(3/8)*i)*i*i))/i)))) assuming i is positive. i**(-45/8) Simplify (z**(13/3)*z*z/(z/(z*z*z**(-17)*z)))/(z*((z**(-11/2)*z)/z)/z*z/(z*z**(-3/5))) assuming z is positive. z**(-113/30) Simplify ((v**(1/2))**(2/23)*(v**(-1))**(-27))**(-30) assuming v is positive. v**(-18660/23) Simplify (((w**(-1)/w)**(-3/25))**32)**(-1/12) assuming w is positive. w**(-16/25) Simplify ((c**10/c)/c**8)/((c*((c/c**(-2))/c)/c*c*c*c)/c)**42 assuming c is positive. c**(-167) Simplify (((m**(2/9)/m)/m**12)**(1/50))**(-8/3) assuming m is positive. m**(92/135) Simplify b**(-9)/(b*b*b**2)*b/b**(-4)*b*b*b**(1/7)*b assuming b is positive. b**(-34/7) Simplify (a**16*a**(7/5))/((a/a**(-3/4))/a**(-18)) assuming a is positive. a**(-47/20) Simplify ((
{ "pile_set_name": "DM Mathematics" }
-3) -4 Calculate ((-3)/((-9)/(-2)))/((-6)/(-9)). -1 What is (-8)/30*30/12*-3? 2 Calculate -3*(-16)/(-24)*1/(-19). 2/19 Evaluate ((-1)/4)/(3*45/(-216)). 2/5 (6*11/154)/((-3)/(-2)) 2/7 Evaluate (14/(-9))/((16/(-18))/2). 7/2 What is the value of 22/1408*48*2/(-6)? -1/4 What is (-2)/2*(-40)/32? 5/4 -3*1*2/(-14) 3/7 What is the value of (1/((-28)/32))/(108/(-126))? 4/3 Evaluate 5/(15/(-9))*1/8. -3/8 Evaluate 2/(-2)*27/(-63). 3/7 What is ((-9)/24)/(45/20)? -1/6 Calculate 4/((-10)/40*-152). 2/19 What is (-7)/(-4)*336/392? 3/2 What is the value of (7/28)/(5/(-10))? -1/2 What is the value of ((-8)/60)/((-12)/10)? 1/9 What is ((-21)/(-70))/(3/(-6))? -3/5 (-8)/(-60)*-3*(-5)/(-3) -2/3 Evaluate 6/(-10)*(-25)/(-5). -3 What is the value of ((-2)/4)/((-12)/(-3))? -1/8 ((-2)/21)/((-19)/(-266)) -4/3 What is 2/(-6)*2*(-5)/(-10)? -1/3 What is 1*((-120)/(-5))/(-6)? -4 (1/(-2))/(1*3/6) -1 Evaluate (-9*(-2)/6)/(-1). -3 Evaluate (3/1)/((-4)/(12/(-3))). 3 What is 1*-6*((-391)/(-34))/23? -3 What is the value of (-80)/15*(-30)/(-20)? -8 What is ((-24)/4)/(-6)*2/1? 2 What is the value of ((-24)/2)/2*50/150? -2 (((-57)/228)/(6/8))/(-1) 1/3 Calculate 0/((18/3)/3*1). 0 What is the value of ((-1)/8)/(2/(-4)*1)? 1/4 What is the value of (2/(20*1))/((-16)/(-40))? 1/4 What is the value of 5*22/55*1/(-2)? -1 ((-20)/(-35))/(1*(-4)/(-2)) 2/7 Calculate 16/84*(-1)/4*6. -2/7 Evaluate (-15*5/30)/((-2)/4). 5 Evaluate (6/24)/((-2)/(-1)). 1/8 What is the value of (((-12)/(-20))/(-1))/(6/4)? -2/5 Evaluate ((-1)/(-1))/(57/19). 1/3 (4/(-10))/(156/130) -1/3 What is (-10)/(-105)*((-70)/(-5))/(-2)? -2/3 What is (-42)/7*12/27? -8/3 Evaluate 14/(-7)*(-1)/2. 1 Evaluate 2/(-5)*((-160)/3)/16. 4/3 (6/(-3))/((560/(-8))/(-7)) -1/5 What is (0/60)/(4/(-1))? 0 (-1)/4*6*(-12)/9 2 What is the value of (-6)/3*(-27)/18? 3 ((-4)/12)/(15/180) -4 What is (-3)/((-14)/(-4)*(-39)/182)? 4 What is -5*2/6*93/(-31)? 5 What is ((45/42)/(-5))/((-3)/6)? 3/7 Evaluate 0/((-2)/((-10)/(-5))). 0 Evaluate (-120)/((-540)/(-27))*(-1)/(-2). -3 ((-3)/2)/(-18*(-5)/(-40)) 2/3 What is the value of (-2)/(-3)*1365/182? 5 Evaluate 4*(-2)/30*75/(-330). 2/33 What is the value of (-2)/((24/18)/((-6)/15))? 3/5 What is ((-160)/12)/5*3/(-4)? 2 Evaluate ((-4)/156*-13)/(2/18). 3 (50/(-180))/(15/(-12)) 2/9 What is (4/(-14))/((20/5)/(-28))? 2 Calculate (3/15*5)/((-5)/2). -2/5 Calculate -1*(-8)/8*0. 0 Calculate 36/(-150)*10/(-3). 4/5 Calculate (-5*3/(9/3))/(-1). 5 What is the value of ((-36)/(-45))/((6/5)/3)? 2 What is the value of 2*(-3)/72*3/1? -1/4 What is the value of ((-4)/(-10))/(-18*3/30)? -2/9 What is (10/385)/(6/42)? 2/11 What is (0/(-18))/((-4)/2)? 0 What is the value of (-2)/(7/(42/(-2)))? 6 -3*5/(-5)*-2 -6 What is the value of 3/(-1)*(-2)/(-14)*-7? 3 (10/(-6))/((-20)/72) 6 -6*1*18/(-27) 4 Evaluate (0*(-2)/8)/(-3). 0 Calculate (-16)/280*10/(-1). 4/7 Evaluate 12*3*1/(-45). -4/5 What is ((-2)/(-20))/(((-42)/35)/2)? -1/6 What is the value of (5/15)/((-10)/(-15))? 1/2 Calculate 8/((9/(-3))/3). -8 What is (0/26)/(2*-1)? 0 Evaluate (8/(-12*2))/((-1)/12). 4 Evaluate 4*36/(-96)*-4. 6 (28/90)/7*-5 -2/9 What is the value of (-1*24)/(-3)*5/10? 4 Calculate (-16)/(-4)*3/9*-3. -4 What is ((-2)/1)/(-1)*1/2? 1 What is the value of (1/(-11)*(-12)/(-3))/2? -2/11 What is 3/(-9)*(-90)/50? 3/5 What is the value of (5/(-20)*4)/(-1*14)? 1/14 1/4*1*(-8)/(-2) 1 What is (-2)/((40/35)/4*-1)? 7 Evaluate (24/3*1/6)/(-2). -2/3 Calculate (((-15)/50*-5)/4)/3. 1/8 ((-9)/243)/(-1)*12 4/9 What is (-6)/(108/(-30))*(-2)/(-5)? 2/3 What is 3/3*165/33? 5 (64/(-416))/((-5)/65) 2 (-4*(-6)/(-72))/(1/3) -1 Calculate 40/(-32)*(-1)/(-5). -1/4 Evaluate 2/(-36)*8*3/(-6). 2/9 What is the value of 5*1*1/5? 1 Evaluate ((80/(-6))/4)/(2/(-3)). 5 What is 2*(-6)/6*10/5? -4 Evaluate ((-8)/616*-2)/((-2)/14). -2/11 Calculate ((-10)/6)/((-19)/57). 5 2*-4*(-3)/(-48) -1/2 Calculate 8/21*(-3)/(-16)*4. 2/7 (2/(2*-1))/(62/(-31)) 1/2 What is the value of (-30)/(-50)*20/6? 2 Evaluate ((-1)/(-26))/(-11*(-3)/132). 2/13 Evaluate 3/((-9)/18*-63). 2/21 What is the value of (-130)/52*-2*(-4)/(-10)? 2 Calculate 8/14*14/4. 2 Evaluate (-6)/((-13)/(-52)*6*-1). 4 What is (((-25)/5)/20)/(2/12)? -3/2 What is the value of ((-120)/(-270))/((4/6)/1)? 2/3 (-1)/(14/(-28))*-4 -8 Evaluate 4/(71/(-355)*(-10)/(-4)). -8 What is (24/(-210))/(2/(-5))? 2/7 (1/1)/(2/2) 1 What is -2*6/(2/(14/21))? -4 What is the value of 99/(-66)*5/(10/4)? -3 What is (6/15)/(14/(-70))? -2 What is ((-7)/(-12)*-4)/((-2)/(-6))? -7 Evaluate ((-35)/(-70))/((-2)/6). -3/2 Evaluate (1/(-1))/(10*(-2)/12). 3/5 What is the value of (-10)/(-8)*(-8)/(-20)? 1/2 -4*((-6)/(-6))/(-4) 1 What is ((-5)/((-15)/(-6)))/(-3)? 2/3 What is (3/(42/4))/(-1)? -2/7 Calculate (((-2)/(-2))/((-2)/(-6)))/1. 3 Calculate (-4)/6*(-27)/(-90). -1/5 -1*1*(-22)/66*3 1 Calculate (-10)/40*1*-2. 1/2 What is the value of 10/(-55)*33/11? -6/11 What is (6/3)/((-2)/16*-28)? 4/7 ((-18)/(-84))/((-9)/12) -2/7 What is ((-6)/24)/((-8)/160)? 5 (-135)/(-60)*3/9 3/4 44/99*3*6/4 2 Evaluate 6/(-4)*(-27)/(-54). -3/4 What is the value of (11/11)/(-1*4/(-4))? 1 What is (-9)/(-18)*(-8)/4? -1 ((-88)/154)/((-1)/(-42)*-4) 6 Calculate ((-10)/8)/1*(-12)/9. 5/3 What is the value of 1*(-15)/(-10)*(-2)/(-3)? 1 Calculate (-9)/(-6)*(-6)/(-54). 1/6 What is (6*1*4/(-18))/6? -2/9 -2*-1*(-15)/6 -5 What is -5*(-35)/21*(-4)/20? -5/3 What is 1/(4/(-1))*56/(-49)? 2/7 What is the value of ((-3)/(12/4))/(-3)*-9? -3 What is the value of 12/(17/(340/(-30)))? -8 (-16)/(-28)*(-35)/(-10) 2 What is the value of (1/(-4))/((-18)/(-32))? -4/9 What is the value of -3*(-20)/(-15)*(-85)/(-476)? -5/7 What is the value of (-63)/14*80/(-90)? 4 Evaluate (-2)/(-4)*(-100)/(-10). 5 What is the value of (3/12)/(1/2)? 1/2 Calculate 8/2*1*1/1. 4 Evaluate (2/2)/(38/(-133)). -7/2 Calculate ((-5)/(-20)*-15)/(-3). 5/4 What is 10/12*24/(-80)? -1/4 Evaluate (-5*3/6)/((-5)/10). 5 3/(-1)*(-22)/242 3/11 (-7)/14*(-4)/(-7) -2/7 Calculate ((-20)/70)/((-65)/91). 2/5 Calculate (3/3)/(2*(-7)/42). -3 Calculate (-9)/30*(-24)/(-9). -4/5 What is (72/60)/((-1)/((-15)/6))? 3 (-8*15/(-10))/2 6 Evaluate (234/(-15))/(-13)*15/(-2). -9 What is the value of (-6)/(-4)*100/(-200)? -3/4 Evaluate (48/8)/(-2*(-3)/(-4)). -4 What is the value of 6*2/(-11)*132/(-48)? 3 Calculate 6/4*6/(-60)*5. -3/4 Calculate 196/(-147)*(-6)/(-20). -2/5 What is 36/6*-1*1/8? -3/4 5/10*4/2 1 What is the value of 1100/396*(-3)/(-5)? 5/3 What is the value of 4*(-1)/12*(-1)/(-1)? -1/3 What is 54/18*(-8)/(-6)? 4 Calculate ((-118)/(-413))/((-2)/(-56)). 8 15/18*12/40 1/4 Calculate ((-111)/(-259))/((-24)/(-21)). 3/8 Evaluate (1/4*1)/4. 1/16 What is -7*4/14*-2? 4 Calculate 31/((-93)/18)*1. -6 Calculate ((-3)/(-34))/((-4)/(112/21)). -2/17 Evaluate ((-3)/6)/((-2)/24). 6 What is the value of 6/(-9)*-3*17/(-153)? -2/9 3/(-9)*42/(-2) 7 ((-27)/(-63))/((-2)/14) -3 Calculate 20/6*(-306)/170. -6 What is (-42)/9*6/12*3? -7 What is the value of (-3*14/588)/(1/8)? -4/7 Evaluate 814/(-1221)*2/((-28)/(-3)). -1/7 (4/(24/3))/((-4)/16) -2 Evaluate 45/(-15)*(-2)/3. 2 Evaluate ((-2)/(-5))/((-5)/25). -2 Calculate (1/(-9))/(23/138). -2/3 Evaluate (((-6)/3)/(-4))/((-114)/684). -3 Evaluate ((-5)/2)/(((-28)/8)/(-7)). -5 What is the value of (3/(-9))/((-64)/(-24))? -1/8 Evaluate (-3)/4*28/105*-3. 3/5 What is the value of 3/6*7/(-14)? -1/4 24/(-2)*(-72)/288 3 Evaluate ((-14)/(-245)*7)/2. 1/5 What is (-16)/(-12)*1*(-7)/(-21)? 4/9 What is the value of (15/(-10))/3*-4? 2 What is (16/11)/(-4)*(-704)/128? 2 What is the value of (-8)/8*(60/(-8))/(-5)? -3/2 Calculate (-3*9)/1*2/(-6). 9 Evaluate ((-6)/(-60))/((24/45)/(-2)). -3/8 (1/(-1))/((-4)/40*-5) -2 Calculate (-8)/(-20)*((-25)/(-6))/5. 1/3 What is ((-12)/9)/((-40)/4)? 2/15 What is (10/275*-5)/((-6)/22)? 2/3 What is the value of -6*(12/6)/(-4)? 3 What is (-2)/7*46/(-23)? 4/7 What is (-2)/(-3)*(-6)/(-40)? 1/10 Evaluate 0/((1/4)/(7/(-28))). 0 Evaluate (8/28)/(4/(-7)). -1/2 (-9)/90*-2*3*-1 -3/5 1/(((-33)/6)/1) -2/11 Evaluate ((-34)/255)/((-1)/(-5)). -2/3 What is (120/32)/(((-18)/4)/1)? -5/6 What is the value of (6/(-32))/(5/(-10))? 3/8 What is 70/(-120)*14/49? -1/6 Evaluate ((-1)/6*-4)/(114/(-171)). -1 Calculate 3/15*5*(-5)/40. -1/8 10/36*(-12)/(-15) 2/9 Evaluate (12/(-16))/((-15)/10). 1/2 What is 6/(36/(-6))*5? -5 What is ((-63)/(-168))/(1/(-4))? -3/2 What is 9*-1*(-16)/(-24)? -6 What i
{ "pile_set_name": "DM Mathematics" }
are there in three tenths of a millennium? 3 How many minutes are there in 249.8196us? 0.00000416366 Convert 4.788493 millennia to decades. 478.8493 How many years are there in three fifths of a decade? 6 What is one twentieth of a centimeter in micrometers? 500 What is 96814.26 litres in millilitres? 96814260 Convert 1339.038 years to decades. 133.9038 How many millimeters are there in 9.333541cm? 93.33541 What is three tenths of a litre in millilitres? 300 How many millilitres are there in 1/5 of a litre? 200 How many microseconds are there in 848.7069 weeks? 513297933120000 What is 1/10 of a millennium in centuries? 1 How many milligrams are there in twenty-nine fifths of a gram? 5800 How many millilitres are there in 6965.621l? 6965621 How many months are there in five sixths of a year? 10 Convert 4.966271um to nanometers. 4966.271 How many millilitres are there in five quarters of a litre? 1250 What is fifty-one halves of a litre in millilitres? 25500 What is 53/4 of a kilogram in grams? 13250 How many microseconds are there in 1081.216 seconds? 1081216000 How many months are there in seven thirds of a millennium? 28000 What is three fifths of a day in seconds? 51840 What is 9.796212 decades in months? 1175.54544 What is one fifth of a kilometer in meters? 200 What is thirteen eighths of a second in milliseconds? 1625 How many millilitres are there in 356.6898 litres? 356689.8 Convert 27.11938l to millilitres. 27119.38 What is seventeen quarters of a century in months? 5100 What is 5/8 of a kilometer in meters? 625 What is three tenths of a day in seconds? 25920 What is twenty-nine fifths of a centimeter in micrometers? 58000 What is 0.3377572 millilitres in litres? 0.0003377572 How many millilitres are there in 17/2 of a litre? 8500 How many centimeters are there in eleven halves of a meter? 550 How many micrometers are there in fourty-five quarters of a millimeter? 11250 Convert 87.79818 days to hours. 2107.15632 How many months are there in one fifth of a decade? 24 How many tonnes are there in 81.71662 kilograms? 0.08171662 How many centimeters are there in 28208.9 nanometers? 0.00282089 How many weeks are there in 1251974.5 days? 178853.5 What is 54.33253 grams in kilograms? 0.05433253 What is one tenth of a tonne in grams? 100000 What is 3/25 of a micrometer in nanometers? 120 What is 418.1248 kilometers in centimeters? 41812480 What is 867225.5 millennia in years? 867225500 What is 3/25 of a microsecond in nanoseconds? 120 How many meters are there in twenty-nine halves of a kilometer? 14500 How many microseconds are there in 4364.183ms? 4364183 How many kilometers are there in 63.9183 meters? 0.0639183 How many years are there in 15.17181 decades? 151.7181 Convert 0.8084216g to nanograms. 808421600 How many micrometers are there in 18/5 of a millimeter? 3600 What is 79448.44 millimeters in nanometers? 79448440000 Convert 595.4371 decades to millennia. 5.954371 How many millimeters are there in 3/8 of a meter? 375 Convert 0.6670773 milligrams to tonnes. 0.0000000006670773 How many nanometers are there in 0.9409838km? 940983800000 What is 1/4 of a millennium in months? 3000 What is 3987.427ml in litres? 3.987427 How many nanoseconds are there in 0.5499073 seconds? 549907300 Convert 9579.177 kilograms to tonnes. 9.579177 What is 18/5 of a hour in seconds? 12960 How many nanograms are there in 3/25 of a microgram? 120 How many millilitres are there in 21/8 of a litre? 2625 How many seconds are there in six fifths of a minute? 72 What is one quarter of a litre in millilitres? 250 What is 43/2 of a litre in millilitres? 21500 What is 6243.294 millimeters in micrometers? 6243294 What is three fifths of a meter in millimeters? 600 How many micrometers are there in 1/16 of a meter? 62500 How many centimeters are there in eleven quarters of a meter? 275 Convert 47673.2 hours to milliseconds. 171623520000 What is one tenth of a kilogram in milligrams? 100000 How many millilitres are there in twenty-nine fifths of a litre? 5800 How many grams are there in one fifth of a kilogram? 200 What is 9292.4ml in litres? 9.2924 Convert 41895.67ng to milligrams. 0.04189567 What is 3/10 of a gram in milligrams? 300 How many kilometers are there in 649644.4 nanometers? 0.0000006496444 How many hours are there in seventy-four sevenths of a week? 1776 How many months are there in 9615.972 decades? 1153916.64 What is 11/10 of a meter in centimeters? 110 What is four thirds of a hour in seconds? 4800 What is 56996.98 milligrams in micrograms? 56996980 How many centimeters are there in 3.69077 millimeters? 0.369077 What is 789585.7 kilograms in micrograms? 789585700000000 What is 668.3537 minutes in seconds? 40101.222 What is 21.296013 months in millennia? 0.00177466775 What is 2/21 of a week in hours? 16 Convert 417.2571 nanograms to milligrams. 0.0004172571 Convert 1.261255 litres to millilitres. 1261.255 Convert 27250.443 months to years. 2270.87025 What is three tenths of a centimeter in millimeters? 3 What is 9973.04 days in hours? 239352.96 How many nanograms are there in three fifths of a microgram? 600 What is 8.368265 days in minutes? 12050.3016 Convert 52517.51 microseconds to seconds. 0.05251751 How many millilitres are there in six fifths of a litre? 1200 What is 3.019382 centuries in months? 3623.2584 Convert 359325.8 nanometers to centimeters. 0.03593258 What is 645643.1 millilitres in litres? 645.6431 What is 25/8 of a gram in milligrams? 3125 How many centuries are there in seventeen halves of a millennium? 85 How many months are there in five sixths of a millennium? 10000 What is 669.612 millennia in months? 8035344 How many milligrams are there in 5.794441 grams? 5794.441 What is 6/5 of a kilogram in grams? 1200 What is 5/8 of a day in minutes? 900 Convert 0.9997838 centuries to years. 99.97838 What is seven quarters of a minute in seconds? 105 How many micrometers are there in 83.99431km? 83994310000 What is 9.973001 milliseconds in seconds? 0.009973001 What is 0.5718183km in centimeters? 57181.83 How many nanometers are there in nine tenths of a micrometer? 900 What is 21/8 of a litre in millilitres? 2625 How many micrometers are there in 6/5 of a centimeter? 12000 How many grams are there in 9.759678t? 9759678 What is 0.6232204 years in millennia? 0.0006232204 How many months are there in five eighths of a century? 750 Convert 3.987943 milligrams to grams. 0.003987943 What is 11/2 of a century in decades? 55 What is 40589.68cm in kilometers? 0.4058968 How many nanograms are there in 95.77774ug? 95777.74 What is 73/3 of a year in months? 292 How many millilitres are there in 17/4 of a litre? 4250 How many litres are there in 0.1851436 millilitres? 0.0001851436 How many weeks are there in 92536.1955s? 0.15300296875 Convert 54.19229 centuries to years. 5419.229 What is 16.2634 years in months? 195.1608 How many tonnes are there in 775195.5ug? 0.0000007751955 Convert 1403695.44s to weeks. 2.320925 What is 6/5 of a meter in centimeters? 120 What is 6.943201 centuries in months? 8331.8412 Convert 22895.44 litres to millilitres. 22895440 Convert 8.56938 millilitres to litres. 0.00856938 How many minutes are there in 1/36 of a day? 40 What is 36140.46 centuries in millennia? 3614.046 How many kilograms are there in 7911.544ng? 0.000000007911544 How many months are there in 33/5 of a millennium? 79200 How many millimeters are there in thirty-seven halves of a centimeter? 185 Convert 879.6296 millilitres to litres. 0.8796296 How many millimeters are there in fourty-four fifths of a meter? 8800 How many hours are there in 27/2 of a week? 2268 Convert 0.896349 years to decades. 0.0896349 How many millilitres are there in eighteen fifths of a litre? 3600 How many micrometers are there in 67/5 of a millimeter? 13400 How many minutes are there in 5/8 of a day? 900 What is 2/125 of a litre in millilitres? 16 How many micrograms are there in 242704.4g? 242704400000 What is 21/2 of a tonne in kilograms? 10500 Convert 43970.71 millennia to years. 43970710 What is one fifth of a litre in millilitres? 200 How many decades are there in 6/25 of a millennium? 24 Convert 0.6353735 millilitres to litres. 0.0006353735 What is five quarters of a litre in millil
{ "pile_set_name": "DM Mathematics" }
3*g = -11 for m. 4 Suppose 24 - 6 = 3*w. Suppose 0 = -2*v + w*v - 40. Solve l + 8 = 3*k + 2*k, -2*l + v = 3*k for l. 2 Suppose 2*h - 5 = 1. Solve t + 18 = -g + 4*t, 1 = h*g + 2*t for g. -3 Let y(a) = a + 2. Let m be y(2). Suppose -20 = -9*i + m*i. Suppose l + 21 = 2*l + 4*f, 39 = i*l + f. Solve -5*s + l = 4*r - 0*r, -3*s + 11 = r for r. -4 Let b(q) = q**2 - 7*q + 6. Let i be b(6). Suppose -y = -i*y. Solve -4 = -s + w + 4, -s - w = y for s. 4 Suppose 9 = 5*m - 2*k - 9, 0 = 2*m + 5*k + 16. Solve 5 = -u - m*b, -3*b = -5*u - 2 + 3 for u. -1 Let k = 43 + -41. Solve -5*j + 18 = 5*x - j, -4*x - k*j + 12 = 0 for x. 2 Let p be -3*(-2 + (-2 - -3)). Suppose -2*g = -4*l + 47 + 37, -2 = g. Suppose 2*u - 20 = -2*h, -2*u + p*u + l = 5*h. Solve v + 2 = 0, -3*r + 4*r - h*v = 6 for r. -4 Suppose -59 = -3*z - 44. Solve 0 = 5*q + 4*b + 6, z*q - 4*b - 24 - 2 = 0 for q. 2 Let l(o) = -12*o + 4. Let k be l(-3). Solve 10*q - 5*q - k = 3*g, g + q = 0 for g. -5 Let d(n) = -n + 10. Let v be d(5). Solve v*t + 2*x = -0 - 8, -5*x = 20 for t. 0 Let b(x) = x**2 - 7*x + 9. Let r = 1 + 5. Let j be b(r). Solve 3*a = 3*m, 3*m + 2*m = j*a for m. 0 Let m(v) = -v**3 + 10*v + 3. Let b be m(-3). Solve q = 5*t + 3, b*q - 3*q + 9 = -t for q. 3 Let a(b) = b**2 + 3*b - 7. Let p be a(-9). Let z = -15 + p. Let h = 11 - 7. Solve -1 = -k - k - 3*x, -4*k + h*x + z = 0 for k. 5 Suppose 4*x + 4 = g, -5*x - 11 = -3*g + 1. Suppose 56 = -0*w + g*w. Solve 0 = 2*u + 5*r - w, -4*u - r + 5*r = 0 for u. 2 Let l = 1 + 3. Suppose m = -3*x + 12, 0 = -m + l*x - 10 - 6. Solve 5*d + 3*w + 26 = 0, -3*w - 2 = -d - m for d. -4 Suppose -f - 3*f - 24 = 0. Let q be f/(3 + 2 + -6). Let c(g) = -g + 11. Let i be c(q). Solve 0 = 2*b - 3*n - i + 30, -2*n = 2*b for b. -5 Let i = 6 + -3. Let s be ((-3)/i)/(4/(-16)). Solve -5 = 5*g + 5*t, 2*g = -3*g + 4*t + s for g. 0 Let b(n) = n**2 + 4*n - 6. Let t(v) = -v**3 + 8*v**2 - 6*v - 3. Let u be t(7). Let k be b(u). Solve 3*p = -15, 3*o + 2*p - k = 6*p for o. 2 Let i be 0*(6/(-9))/(-2). Let d be i/(1 + 0) - -4. Solve -c = d*o - 0*o - 11, 3*o + 3 = 3*c for c. 3 Suppose -5*n + 0*n = -90. Suppose 4*a = -2 + n. Suppose -a*k + 166 = 22. Solve -2*h + k - 13 = 5*q, -4*q + h = -21 for q. 5 Suppose -5*k = 4*h - 14, 5*h + 0*k = 4*k - 3. Let d be (-2)/3 + 4/(-3). Let g = h - d. Solve -g*s - 5*q = 35, -2*s - 5*q - 40 = 2*s for s. -5 Let s(z) = 11*z - 45. Let b be s(7). Solve 0 = -5*h - 4*w + b, 0*w - 5*w = -h - 11 for h. 4 Let p(f) = f - 3. Let i be p(3). Suppose i = -4*x - 5*h + 13 - 0, -h + 1 = 0. Suppose x*z + 20 = 6*z. Solve n - z*n = -3*y - 6, 0 = 5*n - 4*y - 7 for n. 3 Suppose -5*k + k = 0. Suppose -3*p + 24 = -3*h, -2*h = -5*p + 37 + 6. Suppose 24 = p*q - 5*q. Solve 0 = 4*l - 5*i + 9, -5*l = -i - k + q for l. -1 Let k = 5 + -3. Suppose -27 = 4*i - 3*x, -2*i + 3*x - 34 = -13. Let f = 1 - i. Solve 5*d = u - 21, k*d - 4*d - f*u = 4 for d. -4 Let a = -21 + 29. Let y be (-247)/(-7) - a/28. Solve 2*u = 3*q + 23, 3*q + 0*q + y = 5*u for u. 4 Let s(h) = -1. Let o(n) = -2*n - 3. Let z(g) = -o(g) + 2*s(g). Let j be z(2). Solve -7 = j*r - 2*w, -2*r + 5 = -r - 2*w for r. -3 Suppose u - 22 = -2*y, 4*y - 4*u - u - 58 = 0. Solve -2*x - 2*p - 18 + 2 = 0, y = -x - 2*p for x. -4 Suppose 2*c = 1 - 9. Let o be 1*(-2)/4*c. Solve 0 = -o*x + 3*v + 18, 4*x - x + 3*v = -3 for x. 3 Suppose -3*k + 12 = 0, -f = 2*f - 3*k. Suppose a - 4*z = f*a - 2, -5*z + 1 = 3*a. Solve -6 = -a*y - 2*w - 2*w, -6 = -y + w for y. 5 Suppose 0*q - 2*q - 5*s + 25 = 0, -2*s = -6. Let p = q - 3. Solve -3*w + 3*k = p*w - 17, w + 5*k = -19 for w. 1 Suppose -t = c - 4, -4*c + 19 = 2*t + 3*t. Suppose -5*k + 10 = -3*l - 0*k, -3*l = -2*k - 5. Solve l*f + v - 23 = 1, -t*v - 13 = -2*f for f. 5 Let m(b) = b**2 - 6*b - 8. Let c be m(7). Let n be 3*-3*c/3. Let x be 21*-1*n/(-3). Solve 7 = 4*y + 3*q, 0*q - x = -3*y + 3*q for y. 4 Let q be -1*12/42 + 46/14. Solve -q*c + 20 = -2*b - 1, 3*c + 5*b = 0 for c. 5 Let r(z) = -z**2 + 4*z - 1. Let o be r(3). Solve -8 = -4*j, -q - 4*j + j = -o for q. -4 Let v(c) = -c**2 - 6*c + 1. Let y(h) = 7*h**3 + h + 2. Let z be y(-1). Let j be v(z). Solve -b - 4*l - 5 = 0, -5 = 2*l - j for b. 3 Let p = -31 + 33. Solve 5*c - 2*h = -33, -3*h = 4*c - p*c - 2 for c. -5 Let w(r) = 13*r**3 - 3*r**2 + 2*r. Let d be w(1). Solve -3*a - 5*y - d = 0, -a + y - 8 = a for a. -4 Let j = 10 - 6. Let d be (8/5)/(j/10). Suppose -d = -2*u - 3*z + 5*z, -z + 4 = u. Solve 5 = -f - 2*h, 0 = -0*f - f + u*h for f. -3 Let m(h) = -h**3 - 2*h**2 + h. Let p be m(-3). Solve -2*w + p = -f - 0, 2*f = -w - 7 for f. -4 Let g(c) be the third derivative of c**4/24 + 2*c**3/3 - 4*c**2. Let x be g(0). Solve 4*h = -x*a + 16, 0 = -3*a + a - 5*h + 11 for a. 3 Let q = -9 - -12. Solve 0 = -3*a - 3*y - 15, -2*y = y + q for a. -4 Let d = -86 - -88. Solve -b = -x + 3*b + 7, -3*x = -d*b - 1 for x. -1 Let f(w) = -w**3 - 3*w**2 - 2*w. Let h be f(-2). Solve h = 2*g + 5*p + 11, 2*g + 2*g + 4*p + 16 = 0 for g. -3 Let w be ((-22)/6)/((-2)/6). Let y be (12/(-5))/((-3)/10). Suppose -4*b - y = 4*h, -w = 3*b + 4. Solve -h*o = t - 1, 2*t - 4*o = 10 + 2 for t. 4 Let w(f) = f**2 - 4. Let r be w(-3). Let y be (-4)/20 - 152/(-10). Let l be ((-5)/3)/((-5)/y). Solve -l*o + r*h = 0, h - 5 = -6*o + 2*o for o. 1 Let h = -9 + 14. Suppose 0 = -h*q - 0*q. Suppose q = -u - u + 52. Solve 0*n + u = 2*c - 4*n, 5*n + 25 = c for c. 5 Let l be (3/6 - -1)*2. Suppose l = 2*f - 31. Suppose j = a + 4 - 1, 0 = -3*j - 5*a + f. Solve 5*q = -0*o - j*o + 9, 0 = o + 2*q - 3 for o. 1 Let q be ((-94)/3)/(2/(-3)). Suppose -g + q = 12. Suppose 6*r - 2*r = 5*w + g, -14 = -r + 3*w. Solve 4*t - 8 = -5*f, 0*f - 5*f + 35 = -r*t for f. 4 Let h(c) = c**3 - 8*c**2 + 7*c + 1. Let n be h(7). Solve -5*u - 3 = -w - w, n = -2*u + w for u. -1 Suppose -4*b - 78 = -3*b. Let j be (-325)/b - (-2)/(-12). Solve 0 = 2*h - 0*h + 4*s + 2, j*h - 2*s + 24 = 0 for h. -5 Suppose n = 7*n - 24. Solve 2*f + n*u = 0, 0*u - 1 = 2*f + 3*u for f. -2 Let g be (-31)/4 + 7 + (-30)/(-8). Solve -8 = 4*z - g*u, 0 = 2*z - 4*u - u + 4 for z. -2 Suppose 0 = -5*i - s + 56, -s = 5*i - 3*s - 68. Let c(h) = h**3 - 12*h**2 + h - 10. Let b be c(i). Solve -y = 4*w - 9, y + 18 = -b*y + 3*w for y. -3 Suppose -p + 22 = -5*h, -4*h + 5*h - 58 = -5*p. Solve 8 = 3*o + 2*k, 5*o - 3*k + p = 3*o for o. 0 Let g = -4 - -5. Let f be 6/(-2) - -3*g. Solve 3*t = -v + 2*t, -5*v + 4*t - 45 = f for v. -5 Let o = -4 + 8. Suppose 2*h = 4*u - 66, 3*h = o*u - 22 - 43. Solve -3*x - 5*y - u = 0, -6*y = -3*y + 12 for x. 1 Let d(a) = a**2 - 3*a - 14. Let w be d(6). Solve 8 = -4*c - u + w*u, -5*c + u = 10 for c. -2 Suppose -c = -k - 11, 0 = -2*k + k - 4*c + 4. Let p = 18 + k. Let z be 6/30 + 28/p. Solve -z*t + 6 = 0, 2*a - 2*t + 6 = -4 for a. -3 Let m(y) = -y**3 - 5*y**2 - 3*y + 4. Let k be m(-4). Solve -2*a + 2*g - 4 = 0, -2*a + k*g - 5*g = -24 for a. 2 Suppose 3*w = 4*w - 5. Suppose y - q + 3*q - 3 = 0, -3*q - 15 = -w*y. Solve -j = -y*d + 9, 3*d - 8*d + 15 = -j for j. 0 Let l(d) = -d**2 - 4*d + 4. Let k be l(-3). Solve -2*u - 2*q = -3*u - k, u - 1 = -2*q for u. -3 Let u(j) = -j**2 - 7*j. Let w be u(-7). Let z be (w - -1) + 0 - -2. Solve 0 = 3*r - 3, -z*a - 2*r + 9 = 22 for a. -5 Let b be (-1)/(-2) + (-52)/8. Let w be 0*(b/4 + 2). Suppose 2*m + 3*m - 20 = w. Solve 5*f - 15 = 5*k, m*k - 2*k + f = 0 for k. -1 Let o = -2 + 15. Solve -o = -4*v - q, -3*v + 4 = -2*v + q for v. 3 Let r(x) = x**3 + 4*x**2 - 1. Let i be r(-3). Let a = i - 3. Solve 0 = 5*d + 4*g + 3, -a*g + 13 - 1 = d for d. -3 Let s be (7 - 2)*(-1 + 2). Let v(x) = -x**3 + 5*x**2 + x + 1. Let u be v(s). Let a = u - 2. Solve 4 = -4*j + a*t, -j + t - 3*t + 2 = 0 for j. 0 Suppose 0 = 4*z - 6 - 10. Suppose -2*f = -z*f + 4. Solve 2*j = 2*v - 3*j + f, j + 10 = 3*v for v. 4 Suppose -5*v - 71 = -1. Let p = 14 + v. Solve 2*w = 2*f - 16, 2*f + 2*w = -p*f for f. 4 Let j(c) = c**3 - 4*c**2 - 8*c - 4. Let s be j(6). Suppose 0 = -0*h - 4*h + s. Let f(y) = -y - 1. Let m be f(-6). Solve -4*v + 3*u = h, v - 1 = -2*u - m for v. -2 Let q(x) be the third derivative of -x**4/24 + 5*x**3/2 - 3*x**2. Let v be q(9). Solve -8 = -4*j + v*j + 2*z, 4*j = -3*z - 15 for j. -3 Let q(z) = -7*z + 4. Let f(t) = 6*t - 3. Let d(a) = -6*f(a) - 5*q(a). Let b be d(-4). Solve b = v + y + 1, 4*y = -3*v + 4 for v. 0 Let a be (-7)/(105/(-6))*5. Solve 1 - 4 = 3*x -
{ "pile_set_name": "DM Mathematics" }
03/128 (c) 5 c What is the sixth smallest value in -95, -5, -4, -0.5, 5642, -3/2? 5642 What is the second biggest value in 9, -199, -675/14? -675/14 What is the third smallest value in 4, -5/2, -716, -0.4, -1, 1? -1 Which is the third smallest value? (a) -1626.143 (b) 1 (c) -2/7 b Which is the fifth smallest value? (a) 4 (b) -1 (c) 47 (d) 0.03 (e) -5/3 (f) -3 (g) -0.05 d What is the fifth biggest value in 2, 7/5, -304, 0.3, -1, -2/5? -1 What is the biggest value in 1/5, -119, -8, 0.1, -9, -1/5, 0? 1/5 What is the third smallest value in -22/7, 17098, -1/4? 17098 What is the fifth biggest value in -1/3, 2, 159074, -4, 7/6? -4 Which is the second smallest value? (a) -0.1 (b) 0.6 (c) -67709 (d) 35 (e) 0.2 a What is the third biggest value in 3/7, 1/2, 474/47, -58, 0.4? 3/7 Which is the fifth smallest value? (a) -129 (b) 17 (c) -0.4 (d) -3 (e) -0.3 (f) 36 (g) 8 g Which is the second biggest value? (a) 0.09 (b) 113.87 (c) 79 c What is the fourth smallest value in -4.934, -0.1, 3/2, -2, -3? -0.1 Which is the third biggest value? (a) -8620049 (b) 0.081 (c) 3 a What is the biggest value in -1/209, -1/7, -1/5, -3, -2? -1/209 Which is the second biggest value? (a) 15 (b) -2/5969 (c) 0.3 (d) 0 (e) 5/32 c Which is the fifth smallest value? (a) 9 (b) -1/5 (c) 0.2 (d) -16 (e) 0 (f) -17 c Which is the fourth smallest value? (a) -8964 (b) 2/55 (c) 0.058 (d) -1 c Which is the second smallest value? (a) 2/5 (b) -4/369 (c) 428614 a What is the fifth smallest value in -2, 3/7, 31, 8, -4, -7, 273? 8 What is the third smallest value in -0.1, 0.2, 0.063, -1/392? 0.063 What is the second biggest value in 0.4, -0.5, 33, -1/3, 1, -14, -25? 1 Which is the smallest value? (a) -509 (b) 0 (c) 526 (d) 1/6 a Which is the second biggest value? (a) -2 (b) -0.09 (c) -0.2 (d) -2/3 (e) -0.21 (f) -107474 c What is the second biggest value in -0.04, -237, 860, -2/3? -0.04 Which is the third biggest value? (a) 2 (b) -5 (c) 59511749 b What is the sixth biggest value in -2, 4/15, 509, -3, -2/3, 53? -3 Which is the smallest value? (a) -2/11 (b) 5/107241 (c) 2/45 a Which is the third biggest value? (a) 0.2 (b) 4 (c) -5/4 (d) -107.05 (e) 5 (f) 1 f What is the second smallest value in -5, -0.2, 1, 1/245, 10291, -0.1? -0.2 Which is the fourth biggest value? (a) -2/21 (b) 15 (c) 7 (d) 55 (e) 1/2 (f) -40 e What is the smallest value in 25, -1/8, -41.2, -4.2, 14? -41.2 What is the second smallest value in 5, 26, -4.8451, 1/17? 1/17 What is the third biggest value in 2/3, 2/1017, 2, -1733? 2/1017 What is the third biggest value in -0.02, 132/7, -2/145, 0, 3/4? 0 What is the smallest value in -43821, 35, 0.15? -43821 Which is the fourth biggest value? (a) 13 (b) -3/142 (c) -313 (d) 0.3 c What is the sixth smallest value in 0.133, 0, -0.4, -5, -47, -4/5, 9? 0.133 What is the sixth smallest value in 3, -0.1, -23.4, 10, 106, 2, 0.4? 10 What is the seventh biggest value in 1/10, -4/3, -2, -0.4, -144.8, 0, -1? -144.8 Which is the seventh biggest value? (a) 5/4 (b) 1/4 (c) 0.3 (d) 0 (e) -5 (f) -4 (g) 22274.1 e What is the second biggest value in 0.04, 0.2, 4, 2308? 4 Which is the fourth biggest value? (a) -5 (b) 3/10 (c) 0.12 (d) -7/17 (e) 3 d Which is the sixth biggest value? (a) -3/8 (b) -4 (c) -0.1 (d) 1 (e) 2 (f) 0.2624 (g) 0.17 a What is the biggest value in 1693, -2/3, -0.3, 51/11, -1? 1693 What is the third smallest value in -7.6798, 26, -2/19? 26 What is the second smallest value in 3, 1/2, -5, -0.4, -239, 2/9? -5 What is the biggest value in -832, 1/5, -36, -1246? 1/5 Which is the sixth smallest value? (a) 1/15174 (b) -4/7 (c) 0.5 (d) -0.5 (e) 0.2 (f) 4 f What is the fourth biggest value in -2, 4/5, -0.4, -2/1819, 1/23, -53? -0.4 Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 2 (d) -2 (e) 0.11 (f) 624 (g) 0 g Which is the smallest value? (a) -4 (b) -0.09 (c) 3325 a Which is the second smallest value? (a) -2/13 (b) 1/4 (c) -23 (d) -2/143 (e) 2/3 (f) -0.4 f What is the third smallest value in -11, 0.3, 3.83, -1, 5.9, -0.4, 5? -0.4 Which is the third smallest value? (a) 183 (b) 3 (c) 4943 (d) 0.05 a What is the third smallest value in 2/3, 5950.7, 3? 5950.7 What is the fourth biggest value in -231, -76, 0, -68, -6, 2/7? -68 Which is the biggest value? (a) -193/7 (b) 3/7 (c) -7/26 (d) -0.1 b What is the second biggest value in 0.3, 0, -10, -1425, -180, -0.1? 0 What is the second biggest value in 2, 1/5, -3607863? 1/5 What is the smallest value in -2/7, 0.1, -1.16, 2/15, -0.5, -0.2, 4? -1.16 What is the third smallest value in -5, -0.21, 4/225, -3/7, 16/3? -0.21 Which is the biggest value? (a) 2 (b) -2/7 (c) -131786 (d) -67/4 a What is the fourth biggest value in 0.9, -24/271, 51, 3? -24/271 What is the third biggest value in -26.33, 33/8, -3, 0.01? -3 Which is the second biggest value? (a) 0.23 (b) -22/5 (c) -4 (d) 4 (e) -3/4 (f) -3 (g) -28 a Which is the smallest value? (a) 777/41 (b) 2/3 (c) -6 (d) -781 d What is the fifth smallest value in -0.3, -36, 563, -2/7, 4/3, 5, 328? 5 Which is the second smallest value? (a) -4 (b) -2/11 (c) 17/6 (d) -0.1 (e) -5 (f) -2125 e Which is the smallest value? (a) -3 (b) 102 (c) -0.1 (d) 111/110 (e) -3/8 a What is the third smallest value in 6/7, 3, 1/97, 1, 0.2, -0.21? 0.2 Which is the fourth smallest value? (a) 1 (b) -18202 (c) -15/8 (d) 5 d What is the biggest value in -3, 10.88, -1.8, -2/17, 7? 10.88 What is the third biggest value in 0.3, 425/4, -1.1, -2/3, -1/2? -1/2 What is the third biggest value in -7.1, -1/7, 2/13, 2/9, -57, -3? -1/7 Which is the third biggest value? (a) -14 (b) 8 (c) -3/2 (d) 2 (e) 0.2 (f) -85 e What is the second smallest value in -0.7, -24691, -35? -35 Which is the second biggest value? (a) -4 (b) 20718/5 (c) -2/57 (d) -1.52 (e) 5 e What is the second biggest value in -2/13, 0.5, -5, 4, -177.4, 137, -0.5? 4 Which is the second biggest value? (a) -7.4 (b) 1/4 (c) -136/59 c Which is the fifth biggest value? (a) 17 (b) 1 (c) -5/101 (d) 5/48 (e) -2/7 (f) -0.4 (g) 0 c Which is the third biggest value? (a) -2/1191 (b) 4 (c) 25 (d) -0.8 (e) -0.2 a Which is the second biggest value? (a) 2/3 (b) -1779 (c) -1 (d) -2/15 (e) -1/59 (f) -1/2 e Which is the smallest value? (a) 0.4 (b) -1/28 (c) 108/625 b What is the third biggest value in -18, -1, -3, -2970, 3, 4, -4? -1 Which is the fourth smallest value? (a) 1/6 (b) -6/5 (c) 2 (d) 3 (e) 5 (f) 304005 (g) -7 c What is the third biggest value in 1/13, 0, -7, 2346, -0.5? 0 What is the third smallest value in 4/7, -0.119, -73, 0.02? 0.02 Which is the second biggest value? (a) -2/4183 (b) 0 (c) 16 (d) 1/15 (e) 3/2 (f) 3 (g) -3 f What is the third smallest value in -2, -368782/25, 1? 1 What is the fourth biggest value in -5, 86/15, 15, 2, -1? -1 Which is the smallest value? (a) 4/77 (b) 205425 (c) 0.2 a What is the second smallest value in 3/2, -0.0242783, -2, 1? -0.0242783 Which is the third smallest value? (a) -35053323 (b) 1/3 (c) 2/9 (d) -0.2 c What is the smallest value in 241594, -11, -0.3? -11 Which is the fourth biggest value? (a) 0.05 (b) -2/5 (c) -1/6 (d) -1/3 (e) -0.2529 (f) 29 e Which is the second biggest value? (a) -0.04703 (b) -112379 (c) -2 c What is the third smallest value in -48.626, 3, 0.1, -1.1, -4, 0.2? -1.1 Which is the biggest value? (a) -2.9 (b) -81 (c) -1 (d) 0.2 (e) -2/7 (f) -0.5 (g) 13 g What is the second biggest value in 829, 2, 4, -262? 4 Which is the second smallest value? (a) -2/9 (b) -73 (c) -1/2 (d) -1/5 c What is the second biggest value in -1/2, 0.5, 82, -1/11, 2, 2/3? 2 Which is the third smallest value? (a) 14271 (b) 459 (c) -4/5 a What is the smallest value in -5, 57.42, 0.3, 2, -21/4? -21/4 What is the third biggest value in 0.1, 586, -117, 2, 85, 1.8? 2 What is the biggest value in 0, 10, 12483628? 12483628 Which is the second biggest value? (a) -4 (b) -13166/9 (c) 13 a What is the third smallest value in 0.1, 1, -1, -2/3, -2, -0.0248, 3/1864? -2/3 Which is the fifth biggest value? (a) 16/65 (b) 108 (c) -12 (d) 0.1 (e) 14 c Which is the fourth smallest value? (a) -2 (b) -12 (c) -2/3 (d) 2/127 (e) 0.03
{ "pile_set_name": "DM Mathematics" }
b. -4 Let k(b) = -b**3 - 9*b**2 + 7. Let n be k(-9). Let m(g) = -g - 7. Let x be m(n). Let h = 17 + x. Solve 5*l - 22 = p, -6*p = -h*p + 6 for l. 4 Suppose 33 = 3*h - 57. Suppose -a = -0*a - 3*v - 17, h = 2*a - 5*v. Solve 2*c = 4*q - 10, -a*q + 4*c + 8 = -q for q. 3 Let h = -148 - -152. Solve -3*y = -h*l + 11, -5*y + 4*l - 8 = -y for y. 3 Suppose -80 = -2*p - 0*p. Let z = 40 - p. Solve -d + 2*s - 1 = z, 4*s - 2 = 2*d + 2*s for d. -1 Let m(n) = n**3 - 9*n**2 + 14*n + 5. Suppose 0 = 6*g - 28 - 14. Let r be m(g). Solve 0 = i + 4, -2*i + 0*i = -3*j + r for j. -1 Suppose 4*l - 329 = -225. Solve p + l = -3*p - 2*t, 4*p + 31 = -3*t for p. -4 Suppose 5*x + d = 2, -5 - 1 = -3*d. Solve -2*j + 5*j = -4*s - 3, x = j - s - 6 for j. 3 Suppose j = -2*p + 9, -4*p + 26 = 4*j + 6. Solve p*w + 3*h = -23, 4*w - 3*w = -h - 7 for w. -2 Let i = 16 - 11. Let y(p) = -3 - 4 + i + 8*p - 3*p. Let x be y(4). Solve -3*h - w = 2*w + x, -4*w = -2*h for h. -4 Suppose 2*x = -3*a - 42, x - 2*a + 6 = -29. Let c = x + 32. Let y = 8 + -6. Solve c*n - 10 = -5*z, -5*z + 3 = y*n - 10 for z. 3 Let x be (-5)/(-10) - 12/(-8). Suppose 5 = l + x*r, 5*r - 4 = r. Solve 4*g = 2*f - 1 + 3, 4*g - 17 = -l*f for g. 2 Let w = -395 - -400. Solve -w*i = 2*d - 25, -6*d + 4*d + 2*i = -4 for d. 5 Let c(w) be the third derivative of w**5/60 - w**4/24 - 11*w**2. Let t be c(0). Solve -8 = -n + i - 3*i, t = -3*n + 2*i for n. 2 Let k(z) = 8*z**2 - 7*z**2 + 3*z - z + 0*z. Let c be k(-4). Suppose q = -c + 10. Solve -12 = -q*o - 2*j, -1 = -j + 1 for o. 4 Let u be 15/(-4) + (-9)/(-12). Let n = 5 + u. Suppose 4*i - 5*y + 0*y = 0, n*y - 8 = 0. Solve -3*o - 3*k + 24 = -6*k, 2*o = -i*k - 5 for o. 5 Let n(i) = -2*i**2 - 7*i - 33. Let m be n(-5). Let q be (-2)/(-13) - m/26. Solve -4*y = -j + 25, -45 = -q*y + 7*y - 4*j for y. -5 Suppose -2*s - 3*s = -45. Let y be 5 + (9 - 5 - 4) - 1. Solve -h = 4*c + s, 4*c = -0 - y for h. -5 Let q(c) = -c - 2 + 11 + c + c. Let u be q(-7). Solve u*d - 4 = 4*k + 4*d, 4*k + 8 = -d for k. -3 Let f(m) = m**3 + 16*m**2 - 37*m + 2. Let x be f(2). Solve a + 4*z - 9 = x, -z + 6 = 3*a - 10 for a. 5 Let g = 15 - 7. Solve -3*k - 12 = -3*t, -4*k - g = -2*t - 0*t for k. 0 Let l be (-2)/(-6) - (5 + (-250)/6). Let n = l + -35. Solve w = -4*a + 22, 5*w - 15 = -n*a + a for a. 5 Let s = -87 - -33. Let a = -32 - s. Suppose 0 = 2*w - 15 + 5. Solve -3*d = -h + 4, -w*h - a = -3*d + 2*d for h. -5 Suppose 0 = -5*i - w + 17, 0 = 55*i - 57*i + 3*w. Solve -5*k = 4*h - 14, i*k - 5*h = -k + 3 for k. 2 Let v be (3/9)/((-4)/(2*-18)). Suppose -t = -4*l + 45 + 11, -v*l + 3*t + 33 = 0. Solve -l = -5*b, -2*b = -5*f + 9 + 5 for f. 4 Let c be 1*(9 + 60/(-10)). Solve 5*z = -0*w + w, 4*z = c*w for w. 0 Let h(t) = 2*t**3 - 32*t**2 + 2*t - 27. Let j be h(16). Solve -4*g - j*r = -g + 19, -2*r = 3*g + 4 for g. 2 Suppose 5*d + 2*j = 11, -d - 13 = -2*j - 8. Solve 2*b - q + 12 = 0, q + 5 = -2*b + d for b. -4 Let h(x) = x**3 - 8*x**2 + 9*x - 4. Let j be h(7). Suppose 53*q = 57*q - 24. Solve 4*f + g - q - 7 = 0, 3*f + g = j for f. 3 Let g(u) = u**3 + 4*u**2 + 8*u + 15. Let i be g(-3). Solve w + 5 = 4*y, 2*w + 3*w + 25 = i for y. 0 Let s(d) = -3*d - 10. Let k be s(-6). Suppose -2*z + 36 = -5*z. Let m be 3/z*2*-4. Solve 4*b - r - m*r = k, 5*b + r - 29 = 0 for b. 5 Let f(a) = a + 16. Let y be f(-15). Let n be 3 + (7*6)/y. Suppose -2*t = -4*g + 11 + 25, 0 = 5*g + 4*t - n. Solve c = -3*b + 11, 4*b + 2*c = 5 + g for b. 4 Suppose -43 - 57 = -20*v. Solve 5*n - 4*p + 7 = -v, -p = 4*n - 3 for n. 0 Suppose 0 = -2*g + t + 27, -5*g + 3*t - 2*t = -75. Let z = 20 - g. Solve -2*v = z*i + 2, -4*i - 2 = 10 for v. 5 Let b = 0 - -2. Suppose p - 9 = -3*m + 7, 4*p - 24 = -2*m. Suppose c = -h + b, -m*c + 0*h - 2 = -h. Solve -2*l - 4*q - 26 = c, 0 = -4*l - 4*q + 2 - 34 for l. -3 Let c(g) = 6*g + 4. Let j(p) = p - 1. Let b(f) = -c(f) + 5*j(f). Suppose 0*w = 4*w + 56. Let x be b(w). Solve n = -3*k + 4 - 5, x*n - 15 = 5*k for n. 2 Suppose -32 = -4*g - 4*f, 2*g - f - 12 = g. Let a(j) = -2*j**2 + 151*j + 80. Let y be a(76). Solve -2*p + 2*b + 3*b = y, 0 = -5*p + b - g for p. -2 Let x(w) = 4*w**2 - w - 9. Let v be x(3). Solve s - 4*y = v, 2*y + 14 = -3*s + 4*s for s. 4 Suppose -n = 4*k + n + 144, -206 = 5*k - 4*n. Let y = k + 38. Solve -15 = -5*i - 5*v, y*i + v = i + 3 for i. 0 Let t be -2 - (-91)/39*3. Solve -3*c + 18 = -5*l + 2*l, t*c = -2*l + 16 for l. -2 Let y(n) = n. Let k be y(4). Suppose 14 + 70 = k*q. Solve x = s, -x - 5*s - 3 + q = 0 for x. 3 Suppose -9 = -4*o + 7. Let a = -7 + o. Let k be 4 - (-3)/(a/(-2)). Solve 2*p + 3*q - 3 = 0, -4*q + k = -p + 3*p for p. -3 Let d be ((-12)/9)/(10/(-15)) - -1. Suppose -5*q - 32 - 5 = -3*l, -3*q - d = 3*l. Solve -5*o + l*v + 1 = 0, 3*o + 0*v - 4 = -v for o. 1 Suppose -7*g + 2*g - 5 = -5*n, -2*n = -8. Solve 3*y = -9, 6*y - 4*y + 18 = g*u for u. 4 Suppose -4*z + 12*z = 24. Solve -z*i + 9 = 3*m, 0 = 2*m + i - 6 for m. 3 Let g(c) = 8*c**2 - 58*c + 22. Let s be g(7). Solve -s = 2*l, -6 = x + 4*l + 8 for x. 2 Suppose 0 = -f - 5*n - 1, -4*f = 4*n + n + 64. Let v = f - -23. Suppose 1 + 73 = v*c. Solve 0 = -4*u + y + 11, -5*u - 5*y + c = -2*u for u. 4 Suppose -11*g = -2*d - 8*g + 9, 2*g + 6 = 3*d. Solve 4*u - 3*b - 2*b = 5, 2*u - 4*b - 10 = d for u. -5 Suppose 2*r = 2*w + 4, 32 = 3*r - r + 5*w. Suppose -75 = u - r*u. Solve 0 = -3*l - 5*d - u, -1 = 2*l - 2*d - 7 for l. 0 Let j(m) = m**2 + 3*m - 7. Let f be j(-5). Let w = -176 - -176. Solve w = -2*p + 4*a - 6, 0*a - a = -2*p - f for p. -1 Suppose -4*k = v - k + 12, -5*v + 20 = -5*k. Solve -5*s + 15 = -2*q - v, -25 = -4*s - q for s. 5 Suppose -2 + 1 = 5*j - 2*l, 14 = -j + 5*l. Let s be (8/20)/(j/(-130)). Let f be (-2)/4 + s/(-8). Solve 0 = -z, -f*a + 4*a = -z for a. 0 Let w be ((-24)/(-40) - (-3)/(-5)) + 4. Suppose z = 2*q - 7, -4*q + q = 5*z - w. Solve l + 2*n = -l - 10, 3*n = q*l - 3 for l. -2 Suppose 0 = -9*c + 45. Suppose c*a + q - 16 = 0, -q + 9 = 2*a + 2*q. Let l be 2 + 1 - (-4)/2. Solve -2*m - 3*m + l = -d, 15 = -a*d + 5*m for d. -5 Let y be (-1)/3*(-2 - 4). Solve -5*f + 27 = 3*h, y*h - 2*f + 0 = 2 for h. 4 Let x(b) = -b**3 + 7*b**2 + 9*b - 7. Let i be x(8). Let u = 11 - i. Suppose u = 4*t + t. Solve -5*r = 2*o - t, -4*r = -0*r - 5*o + 5 for r. 0 Let j be 6 - -57*6/18. Solve -j = 5*q, -4*q + 6*q = 4*c - 30 for c. 5 Let y(w) = -6*w**2 - 6 - w**3 - w - 2*w**2 + 0*w**3. Let n = 5 - 13. Let t be y(n). Solve 0 = -8*k + 3*k + t*b + 4, -4*k - 8 = 4*b for k. 0 Let o(u) = -36*u**2 - u + 1. Let v be o(1). Let q = 47 + v. Solve -3*s = 2*f + q, s + 3*s + 8 = -f for s. -1 Suppose 34 = -5*z + 39. Let x = 117 + -112. Suppose -2*r = -0*r + 3*b - 4, -2*r + 3*b = -16. Solve h = z, 2*u + 6 = r*h + x for u. 2 Let g = -1205 + 1208. Solve g*y = -h + 7, -4*h + 5 = h for y. 2 Let h = 3002 - 2987. Let o(x) = x**2 + 7*x + 5. Let d be o(-6). Let j = d + 3. Solve -5*k - h = -2*c, -j*k + c + c = 0 for k. -5 Let m(z) = -z**3 - 10*z**2 + 4*z - 12. Let u be m(-10). Let f be (-3 - (-15)/6)*u. Solve f = -5*b + 4*a + 6, 5*a + 12 = -3*b for b. -4 Let g = -1 + 22. Let v = g - 12. Let q = 14 - v. Solve 0 = -q*d - 2*p + 20, d + 4*p - 22 = -0*d for d. 2 Let d(m) = -m**3 + 2*m**2 + 10*m - 8. Let o be (-16)/10*10/(-4). Let y be d(o). Solve y = -5*j - q + 5, 2*j - 4*q - q - 2 = 0 for j. 1 Let w be (-1566)/(-270) - (-8)/(-10). Solve 2*l + 3 = -3*d + 10, -w*d - 2*l = -5 for d. -1 Let p(l) = -9*l + 305. Let q be p(32). Solve 0 = -2*i - 13*u + 16*u - 14, i - 4*u = -q for i. -1 Let b(h) = 6*h**3 - 3*h**2 + h + 1. Let r be b(1). Suppose -r = -6*w + 13. Let u be 26/6 + (-1)/3. Solve -f = -4*o + 1, -w*f = u*o - 0*f + 19 for o. -1 Suppose 5*s + g - 50 = 0, 4*g + 0*g = 20. Suppose 0 = -d - s*n + 7*n + 1, -2*n + 13 = 5*d. Solve -d*k - 12 = 2*f + 7, -f - 20 = 5*k for k. -3 Let r = -179 + 184. Solve -r*d = -3*t + 4, -2*t - 2*t = d + 10 for d. -2 Let y(m) = -5*m + 16. Let f be y(7). Let b = 30 + f. Solve -5*t - 27 = u, -u + b = -4*t - 7 for t. -5 Let a be -4 - (-7)/(21/12). Suppose a*m - 90 = -10*m. Solve m = -3*c + 2*y - 2, 8 = -4*c - 4*y for c. -3 Suppose 3*w = -a + 22, 7*a - w - 174 = 2*a. Solve -3*m - 5*u + 0*u + 30 = 0, -3*u = 5*m - a for m. 5 Let w(h) = -h**3 - 8*h**2 + 11*h + 22. Let d be w(-9). Solve d*t + 0*t - 4*u = -20, t = -3*u - 1 for t. -4 Let d = 170 + -166. Solve -3*s + d*h - 24 = 0, 0*s - s - 1 = h for
{ "pile_set_name": "DM Mathematics" }
5212? False Is 35810 a multiple of 13? False Is 8 a factor of 9100? False Is 28 a factor of 73? False Does 15 divide 16429? False Is 9 a factor of 356? False Is 3910 a multiple of 34? True Is 13408 a multiple of 25? False Is 4235 a multiple of 57? False Is 3329 a multiple of 14? False Does 2 divide 341? False Is 11 a factor of 88? True Does 14 divide 28308? True Is 38192 a multiple of 56? True Is 4774 a multiple of 31? True Is 64 a multiple of 8? True Is 32707 a multiple of 23? False Is 112 a factor of 766? False Does 73 divide 39849? False Is 910 a multiple of 70? True Is 8 a factor of 336? True Is 4940 a multiple of 123? False Is 243 a multiple of 27? True Is 2834 a multiple of 37? False Is 5977 a multiple of 21? False Does 43 divide 56631? True Is 144 a multiple of 36? True Is 22 a multiple of 22? True Is 1066 a multiple of 82? True Is 8024 a multiple of 9? False Is 11990 a multiple of 6? False Does 7 divide 546? True Does 7 divide 21? True Is 237 a multiple of 17? False Does 14 divide 3220? True Is 70 a multiple of 4? False Is 18 a factor of 2854? False Is 125 a factor of 46375? True Is 26 a factor of 8787? False Is 12 a factor of 4476? True Is 6688 a multiple of 19? True Is 55 a factor of 550? True Does 3 divide 433? False Is 4327 a multiple of 191? False Does 90 divide 2454? False Is 212 a multiple of 4? True Is 128 a factor of 4224? True Is 58 a factor of 1336? False Does 41 divide 89? False Is 2 a factor of 2629? False Is 10 a factor of 104? False Is 7 a factor of 665? True Does 27 divide 9855? True Is 5 a factor of 105? True Does 13 divide 6240? True Is 112088 a multiple of 13? False Does 9 divide 1143? True Is 14 a factor of 1190? True Is 78 a factor of 35647? False Does 227 divide 78453? False Is 8 a factor of 265? False Does 19 divide 399? True Is 48 a factor of 985? False Is 3686 a multiple of 38? True Does 33 divide 180? False Is 62 a factor of 5084? True Does 49 divide 27783? True Does 9 divide 8631? True Is 208 a multiple of 8? True Does 10 divide 19110? True Is 64201 a multiple of 229? False Is 11968 a multiple of 374? True Does 86 divide 29842? True Does 26 divide 11466? True Is 142 a factor of 21442? True Is 12080 a multiple of 20? True Does 2 divide 349? False Does 16 divide 288? True Is 15106 a multiple of 182? True Does 27 divide 791? False Does 34 divide 112686? False Is 655 a multiple of 4? False Is 19 a factor of 4807? True Is 21 a factor of 945? True Is 49 a factor of 3087? True Is 280 a multiple of 20? True Does 91 divide 1367? False Does 9 divide 2430? True Is 101 a factor of 8532? False Does 14 divide 13306? False Is 5 a factor of 980? True Is 83 a factor of 3019? False Is 49062 a multiple of 221? True Is 21 a factor of 18480? True Does 18 divide 8046? True Is 2115 a multiple of 5? True Does 61 divide 3065? False Does 29 divide 1807? False Does 7 divide 1145? False Is 111 a factor of 6438? True Is 10 a factor of 200? True Is 31 a factor of 55056? True Is 9702 a multiple of 22? True Is 8 a factor of 4011? False Does 15 divide 32391? False Does 17 divide 2516? True Is 8584 a multiple of 6? False Is 12199 a multiple of 11? True Is 16 a factor of 3082? False Is 19 a factor of 1700? False Does 3 divide 4236? True Is 12 a multiple of 6? True Is 13 a factor of 8138? True Does 5 divide 6290? True Is 4410 a multiple of 14? True Is 530 a multiple of 106? True Does 368 divide 21698? False Is 12 a factor of 936? True Does 55 divide 69? False Is 423 a multiple of 63? False Does 42 divide 42? True Is 22 a factor of 5052? False Is 10345 a multiple of 22? False Is 43 a factor of 828? False Does 11 divide 7634? True Does 19 divide 608? True Is 20732 a multiple of 93? False Does 71 divide 7887? False Is 112 a factor of 2362? False Does 5 divide 220? True Is 2688 a multiple of 42? True Does 215 divide 10041? False Is 735 a multiple of 7? True Is 17 a factor of 3111? True Is 5531 a multiple of 26? False Is 22 a factor of 198? True Is 10 a factor of 5833? False Does 32 divide 91? False Does 12 divide 48? True Is 25100 a multiple of 10? True Is 8352 a multiple of 86? False Does 2 divide 39? False Does 121 divide 1210? True Does 4 divide 165? False Does 91 divide 12740? True Does 20 divide 2394? False Does 24 divide 2318? False Is 3906 a multiple of 42? True Is 980 a multiple of 49? True Is 31 a factor of 1241? False Is 10 a factor of 289? False Is 67 even? False Does 5 divide 765? True Does 10 divide 2900? True Does 21 divide 126? True Is 20572 a multiple of 14? False Does 101 divide 18887? True Is 89040 a multiple of 106? True Is 87 a factor of 231? False Does 14 divide 5095? False Is 176 a multiple of 4? True Does 138 divide 9798? True Is 57075 a multiple of 57? False Does 11 divide 266? False Is 17 a factor of 100? False Does 7 divide 1225? True Does 11 divide 759? True Is 11573 a multiple of 14? False Is 33 a factor of 46414? False Is 9 a factor of 21604? False Is 5 a factor of 335? True Is 3 a factor of 103? False Is 1230 a multiple of 3? True Is 11 a factor of 4763? True Is 6615 a multiple of 189? True Does 16 divide 32? True Is 8 a multiple of 4? True Is 672 a multiple of 8? True Is 2745 a multiple of 61? True Is 1269 a multiple of 15? False Is 11 a factor of 38535? False Is 454 a multiple of 10? False Does 13 divide 8811? False Is 11640 a multiple of 40? True Is 3768 a multiple of 10? False Is 23188 a multiple of 68? True Does 6 divide 102? True Is 3470 a multiple of 11? False Is 18 a factor of 450? True Is 13105 a multiple of 131? False Is 9 a factor of 2118? False Is 122 even? True Is 39 a factor of 5109? True Does 12 divide 2289? False Is 2 a factor of 451? False Is 4680 a multiple of 52? True Does 35 divide 147560? True Does 32 divide 10806? False Does 8 divide 10322? False Is 11 a factor of 3883? True Is 26 a factor of 188? False Is 12 a factor of 48? True Does 7 divide 861? True Does 12 divide 7267? False Does 24 divide 792? True Does 19 divide 6615? False Is 30 a factor of 356? False Does 24 divide 398? False Is 41 a factor of 1232? False Is 3 a factor of 159? True Is 22 a factor of 309? False Does 43 divide 2322? True Does 71 divide 73? False Is 390 a multiple of 68? False Is 10530 a multiple of 138? False Is 3626 a multiple of 98? True Is 18312 a multiple of 28? True Is 8 a factor of 69749? False Is 68510 a multiple of 170? True Is 870 a multiple of 10? True Is 35174 a multiple of 85? False Is 35 a factor of 2025? False Is 14 a factor of 1372? True Does 32 divide 1561? False Is 40 a factor of 1833? False Is 720 a multiple of 80? True Is 379 a multiple of 2? False Is 5170 a multiple of 10? True Does 12 divide 11064? True Is 4144 a multiple of 28? True Is 3168 a multiple of 12? True Is 5 a factor of 18228? False Is 107 a factor of 4280? True Does 8 divide 50848? True Is 14 a factor of 2198? True Does 24 divide 678? False Is 3 a factor of 168? True Is 31 a factor of 815? False Does 22 divide 2618? True Does 5 divide 1620? True Is 3752 a multiple of 14? True Does 8 divide 130? False Is 20 a factor of 2442? False Does 35 divide 53367? False Is 553 a multiple of 16? False Does 17 divide 422? False Is 10 a factor of 1485? False Is 3150 a multiple of 25? True Does 11 divide 356? False Is 77 a factor of 4312? True Is 1360 a multiple of 16? True Is 14405 a multiple of 43? True Does 10 divide 16010? True Does 12 divide 76226? False Is 125 a factor of 5875? True Is 56 a factor of 1301? False Does 70 divide 60130? True Is 38 a factor of 4140? False Is 936 a multiple of 13? True Does 17 divide 17? True Is 9 a factor of 7706? False Is 20 a factor of 4046? False Is 11635 a multiple of 13? True Does 13 divide 39? True Is 18463 a multiple of 45? False Is 55 a factor of 7315? True Does 19 divide 10963? True Is 860 a multiple of 12? False Is 10 a factor of 9040? True Does 121 divide 57475? True Does 8 divide 24? True Is 4902 a multiple of 6? True Does 11 divide 2010? False Is 89 a factor of 4651? False Does 28 divide 98198? False Does 98 divide 2156? True Is 43 a factor of 301? True Does 36 divide 35371? False Does 12 divide 342? False Does 28 divide 308? True Is 4 a factor of 292? True Does 50 divide 141? False Is 7 a factor of 4358? False Is 21 a factor of 7926? False Is 24 a factor of 1406? False Is 422 even? True Is 1316 a multipl
{ "pile_set_name": "DM Mathematics" }
2*j + 3 for r. 7 Solve -2*o + 1589 = -b + 1596, b = 13*o + 18 for b. 5 Solve 0 = 2*a, -2*h + 4*a - 172 + 56 = 2*h for h. -29 Solve 3*k = 7*y - 2*y - 20, -y + 4 = -k for k. 0 Solve -2*f = -5*y - 37, y + 6928*f = 6933*f - 12 for y. -7 Solve -4*x = 5*j - 93, 0 = -4*x - 3882*j + 3884*j + 86 for x. 22 Solve -2*p - 46*n = -50*n - 36, -3*n - 7 = p for p. 8 Solve 2*i = 4*h + 18, 0 = 3*i + 315*h - 316*h - 12 for i. 3 Solve 29*n - 32*n - 6 = 0, 4*r - 14 = n for r. 3 Solve 4*m + 1057 = 2*n + 1091, 8*n = 2*m - 10 for m. 9 Solve -31*r = -30*r - 5, r = 3*p - 1 for p. 2 Solve 3*r + 25 = -5*b, 0 = 2*r - 4*b + 47 - 45 for r. -5 Solve -2*i + 4*b + 32 = 0, 0 = b + 169 - 163 for i. 4 Solve -3*y - 33 = -3*s, -y - 5*s + 138 = 173 for y. -15 Solve -3*o + 6*o - 12 = 0, 3*d + 4*o = 16 for d. 0 Solve 167*y - 162*y + q = -16, 11*q + 64 = y for y. -2 Solve -5*q = 20, -468*a = -467*a + 2*q + 5 for a. 3 Solve -6*q + d = 5, 0 = 2*q + 2*d - 4*d for q. -1 Solve -4*y - p - 64 = -18, -p = -3*y - 31 for y. -11 Solve -341*q - 92 = -16*d - 340*q, 15*q = 3*d + 42 for d. 6 Solve 0 = -3*u + 9, -3*u + 12 = -14*z + 15*z for z. 3 Solve -4*f + 5 = 5*p, 695*f = p + 694*f + 8 for p. -3 Solve -i - 5*m - 64 = 0, 3*i - 28*m + 36 = -30*m for i. -4 Solve 3*v - 15 = -41*b + 44*b, -v - b = 9 for v. -2 Solve t - 3*x + 7 = -3, -11*t - 3*x = -70 for t. 5 Solve 428*a - 3*h + 16 = 433*a, -a + 7*h + 26 = 0 for a. 5 Solve -13 = -5*f + 4*x - 14, -7 = -f - x for f. 3 Solve 120*q - 4*f + 13 = 123*q, 2*q = -f + 2 for q. -1 Solve -5*s + 3*k + 40 = -5*s + 28, 2*s = -4*k - 18 for s. -1 Solve -14*y = 2*o - 72, 3*o + 16 = 4*o + 2*y for o. 8 Solve 16 = -2*p + 6*v, -18*p - 8 = -23*p + 3*v for p. 4 Solve 7*p = 77, b + 32 = 2*p + 13 for b. 3 Solve 23*w + 17 = 27*w + 3*g, -5*g = -w + 33 for w. 8 Solve 3*n - 5*n + 21542 = 21542, -5*l + 20 = -2*n for l. 4 Solve -6670*p = -6668*p - 4, -3*v + 5*p = -56 for v. 22 Solve -5*r = -3*l, -4*l - 35 = 163*r - 158*r for l. -5 Solve 21*z + 39 = 5*q + 23*z, 0 = q + 3*z - 26 for q. 5 Solve 6*v - v - 45 = 4*x, -3*x = -2*v + 32 for x. -10 Solve 0 = -r - 9489*s + 9487*s - 14, 7*s = 5*r + 2 for r. -6 Solve -3*b - 9 = -3*d, -4*b + 523*d - 26 = 526*d for b. -5 Solve 2*h = -m + 9, 589*m - 591*m = -2 for h. 4 Solve -20 = -4*i - 3*x, -3*x = -4*i + 681 - 685 for i. 2 Solve 3*g + f + 3 = 0, -4*g + 19 = -3*f + 10 for g. 0 Solve 0 = -109*r + 2*i - 97, 0*r + 2*i + 13 = -3*r + 2*r for r. -1 Solve -3*t + 138 = -8*u + 125, 2*t = 5*u + 8 for t. -1 Solve -12*s = -10*l - 7*s - 70, l = -4*s + 11 for l. -5 Solve -3*g + 8 = 2*c, 12 = 4*c - 242*g + 246*g for c. 1 Solve -4*l - 37 = 3*g, -18 = -2730*l + 2731*l - g for l. -13 Solve -x = -5*c - 7, -11*c = -34*c + 18*c - x - 13 for c. -2 Solve 963*a - 12 = 960*a, 0 = 13*w + 3*a - 2 - 10 for w. 0 Solve -49*j + 17 = -44*j - 2*p, -5*j - 5*p + 10 = 0 for j. 3 Solve w - 3 = -3*k + 4, 175*w - 174*w = 68*k - 64 for k. 1 Solve 72988*y = 72993*y + 25, t + 5*y + 20 = 0 for t. 5 Solve 828*q - 833*q = -5*o, -2*o = -q - 5 for q. 5 Solve 5*c = -4*i + 40, c + 22778*i - 22783*i + 21 = 0 for c. 4 Solve 2386*u + 28 = 4*k + 2389*u, 5*u = 3*k + 66 for k. -2 Solve 18 = -2*d - 5*n, 0 = -5*n - 5 - 5 for d. -4 Solve -4*i + j = 8, 12*i - 26 = 14*i + 5*j for i. -3 Solve -2*a - 668*z + 670*z = -8, 2*a - 5*z = 23 for a. -1 Solve 4*o - 180 = 3*b - 143, 5*b + 5*o = -85 for b. -15 Solve 24 = -4*l, -w + 1173 = -2*l + 1157 for w. 4 Solve 5*b = v + 395 - 454, -4*b = -3*v + 45 for v. -1 Solve 0 = -3*x + 5*a - 28, 7 = a + 2 for x. -1 Solve -40*x + 4*u + 204 = 0, 19*x - 43*x + 22*x - 2*u + 8 = 0 for x. 5 Solve 144*s + 17*n + 49 = 139*s, 2*n = -3*s - 13 for s. -3 Solve 3*w = 5*n + 1, -16 - 2 = -n - 2*w for n. 4 Solve -3*t = -565*l + 566*l + 10, 28 = -2*l + 2*t for l. -13 Solve -12*c - 5*j = -7*c, -24 = -13*c - 5*j for c. 3 Solve 145 = -w + 5*a, -469*w = -473*w + 2*a - 58 for w. 0 Solve 5*v + 2*h = -10, -161*h = 3*v - 164*h + 27 for v. -4 Solve -3*l - 116*a = -115*a + 1, 7 = 3*l + 5*a for l. -1 Solve 4*p - 84*n = 2792, 65 = -2*p - 3*n - 24 for p. 5 Solve 0 = 2*j + 4*u + 1451 - 1429, 0 = 5*j - 2*u + 7 for j. -3 Solve 5*w + 63*m - 31 = 64*m, -3*w - 5*m + 13 = 0 for w. 6 Solve 4*o = -2*s + 6, 0 = -3*o - 5 + 2 for s. 5 Solve -5*m = 5*t - 15, 55 = 3*t + 5*m + 32 for t. -4 Solve -6 = 2*q, 815*l - 817*l = 4*q + 50 for l. -19 Solve 5*c = 4*w + 14, 0 = 23215*c - 23211*c - 5*w - 4 for c. 6 Solve 20*r + 20 = 15*r + 2*i, 2*r - 5*i = -8 for r. -4 Solve 2*h + 443*x = 441*x, 4*x = 5*h + 18 for h. -2 Solve -30 = -4*h - 2*u, h - 51 = -2*u - 42 for h. 7 Solve -4*c = -2*i + 22, 251*i - 3*c - 24 = 248*i for i. 5 Solve 4*g - s - 2*s + 231 = 225, -4*s = -2*g + 2 for g. -3 Solve 34*s = 36*s - 26*t - 58, s - 2*t = -4 for s. -10 Solve -b + 3*i = 22, 3*b + 3*i = 31 - 1 for b. 2 Solve 5*f - 794*t + 789*t + 25 = 0, 3*t + 17 = -5*f for f. -4 Solve 3*m + f = 0, -5*m - 20 = -48*f + 43*f for m. -1 Solve 5*l + 36*g + 29 = 40*g, -4*l + 26 = 5*g for l. -1 Solve -2*s + 1 = 6*j - 5*j, s - 2*j - 13 = 0 for s. 3 Solve -4*x = 16, -522*x = 5*u - 518*x - 34 for u. 10 Solve v = k + 1, 0 = 2*k - 3*v - 13 + 13 for k. -3 Solve -8*c + 4*i - 12 = 0, 15*c + 12 = 13*c - 2*i for c. -3 Solve -5*c - 5*j + 48 = -12, -c - 18 = -2*j for c. 2 Solve -3*r - 199*n + 195*n + 19 = 0, -4*n = -r + 1 for r. 5 Solve -r + 4*h = -13, 84*h = 5*r + 81*h - 31 for r. 5 Solve 1674*t + 40 = 3*x + 1679*t, t - 25 = -4*x for x. 5 Solve -5*p + 25 = -5*s, -s - 3*p - 21094 + 21085 = -5*p for s. -1 Solve -77*a - 6*n - 22 = -81*a, 0 = -n - 5 for a. -2 Solve -575*q = -2*m - 578*q + 20, m + 74 = 9*q for m. -2 Solve 5*j + 2 = 8342*a - 8341*a, 4*j + 3*a = -13 for j. -1 Solve -2*o - q + 18 = 0, -69*q = 4*o - 65*q - 44 for o. 7 Solve -2*i - 14 = -2*k, 258*k + 4 = 265*k + 2*i for k. 2 Solve 43*y + 10 = 38*y + 4*b, 15*b - 83 = -4*y for y. 2 Solve 4*k = -4*u - 8, -10 = 47*u - 44*u + 5*k for u. 0 Solve 21 = 5*p - v, 5*v + 35 = 58*p - 47*p for p. 5 Solve 12*y - 11*y - 4 = -3*t, 0 = -3*y + 4*t - 40 for y. -8 Solve -4*r - 3*p + 21 = 0, -14*r + 3*p - 9 = -16*r for r. 6 Solve -d + 2*d = -2*v + 7, 11*d - 103 = 4*v for v. -1 Solve 4*q = q + p + 72, q = 5*p + 38 for q. 23 Solve 3*o = 6, -5*w + 188 = 3*o + 187 for w. -1 Solve y + 2*f - 13 = 0, 5*y + 4*f + 5 = 40 for y. 3 Solve -4*h - 110530 + 110536 = 2*t, -3*t - 61 = -8*h for t. -7 Solve -37*s = 2*x + 72, s + 197*x + 3 = 198*x for s. -2 Solve 4*h = 2*q, -2*q = -468*h + 465*h - 2 for h. 2 Solve -5*x = -215*k + 218*k - 10, 0 = -x + 2 for k. 0 Solve -214*w - 75 = 4*n - 219*w, 69*n + 3*w = 45 for n. 0 Solve 12184*m + 13 = -2*d + 12181*m, 2*d = 4*m - 6 for d. -5 Solve -27*p + 30 = -4*y - 25*p, -4*p + 36 = 0 for y. -3 Solve 2*j = 4*b + 16, -2070*b + 2 = -2*j - 2069*b for j. -4 Solve -7*g + 34 = l, 8 = 2*l + 10 for g. 5 Solve 5*y - 105 = 0, 5*y - 581 + 470 = 2*c for c. -3 Solve 3*x - 32*g - 41 = -30*g, x - 10 = -3*g for x. 13 Solve 589*f - 35 = 587*f - 5*t, -3*t = -3*f for f. 5 Solve -3*q + 12 = -2*k, -43*k + 45*k = -4*q + 16 for k. 0 Solve 3*s - 3*k = -6, 115*k - 4 = 2*s + 117*k for s. -2 Solve 0 = -4*b + 3*f - 3 - 24, -6*b + f - 23 = 0 for b. -3 Solve -4*p = -0*k + 4*k, -p + 16 = 5*k for k. 4 Solve 8*b + 4*j + 14 = -22, -7 = 3*b - 5*j for b. -4 Solve -2*r - 7 = x, x = -6*r + 14 - 21 for x. -7 Solve -5*s = -2*z + 26, 3*z + 12 = -s + 51 for z. 13 Solve -55 = 3*v - 2*n - 38, 3*v = -2*n - 13 for v. -5 Solve -4*b = -v + 2, -2*b - 2*b = -5*v - 38 for b. -3 Solve -4*t + u + 25 = 0, -26*t - 3*u + 23 = -24*t for t. 7 Solve 3*k - 5*z - 21 = -4, k = 3*z + 3 for k. 9 Solve 4*u + 19*y - 16*y - 17 = 0, 0 = y - 3 for u. 2 Solve -v = p - 5, 10534*p = -4*v + 10531*p + 16 for v. 1 Solve -3*g = -5*t, 4*t + 22*g + 30*g = 54*g - 2 for t. -3 Solve -8*c = -5*u + 11 + 4, 0 = -4*c + 3*u - 5 for c. -5 Solve 44*x - 46*x = -5*r + 75, -4*r + 60 = -2*x for x. 0 Solve 30 = -0*p + 2*p, 2*f = 3796*p - 3800*p + 64 for f. 2 Solve -3*p = 5*x - 15, 17*x - 43 = 14*x + 5*p for x. 6 Solve -4*w = h - 69, -6759*w + 41 = 5*h - 6758*w for h. 5 Solve 0 = -5*z + 4*n - 37, z + 14 = -569*n + 572*n for z. -5 Solve -14*u + 5 = -12*u + d, -4*u - d + 7 = 0 for u. 1 Solve 0 = -152*z + 157*z - 5*t, 3*t = z - 8 for z. -4 Solve -2*u + 18 = -2*t, 6607*u + 17 = 6608*u - 3*t for u. 5 Solve m + 10 = -3*n, 5 = 3*n - 3*m + 11 for n. -3 Solve -4*f + 3*r = 26, -2*f + 56*r = 55*r + 12 for f. -5 Solve h + 24*f -
{ "pile_set_name": "DM Mathematics" }
-3*j = -22*j - 48450000. Round j to the nearest 100000. -2600000 Suppose 9900000 = 4*i - i. Round i to the nearest 1000000. 3000000 Let u = -0.1221584 - -0.2061761. Let x = u + -0.084. Round x to 6 dps. 0.000018 Let r = -0.103 + 0.15. Let w = -0.04762 + r. What is w rounded to four dps? -0.0006 Suppose 2*q + 491118 = 4*h + h, 5*q = -4*h + 392868. Suppose 0 = 2*b - 5*b + 414666. Let m = b - h. What is m rounded to the nearest one hundred thousand? 0 Let c = 1157.1265 - 1158. Let r = -0.1405 - c. Let o = r + -0.8. What is o rounded to two decimal places? -0.07 Let s = -21 + 25. Suppose 7*t - 4*t - 5*u - 327010 = 0, -8 = s*u. What is t rounded to the nearest ten thousand? 110000 Let a = 2.2 - -1.1. Round a to 1 decimal place. 3.3 Suppose w = 3*w. Suppose 0 = o - w*o + 271000. What is o rounded to the nearest 10000? -270000 Let y = -40810.3810019 - -40806.881. Let p = 3.42 - -0.08. Let w = y + p. Round w to 6 decimal places. -0.000002 Let z = -4.99757 + 5. Round z to 4 dps. 0.0024 Let q = 0.064 + -27.064. Let j = -27.44 - q. Let o = j - -0.4400082. What is o rounded to six dps? 0.000008 Let l = -134.1908 - -612804.1908. Let s = 612670.7999868 - l. Let j = s + -0.8. What is j rounded to 6 dps? -0.000013 Suppose 3*h = 4*v + 7*h - 824, 196 = v - 4*h. What is v rounded to the nearest ten? 200 Let n(z) = -6821*z**3 - 3*z**2 - 3*z - 1. Let i be n(4). Let x = 257605 + i. What is x rounded to the nearest 10000? -180000 Let o = -6864 - -14868. Suppose 0 = -3*i + i - 8, -2*j = i + o. What is j rounded to the nearest 1000? -4000 Let s = 124.86 - 124.76937. Let p = s + -0.091. Round p to four decimal places. -0.0004 Let s be (0 + -8)*(5 + -6). Suppose -s = -3*t - 44. Round t to 0 dps. -12 Let j = -0.02 - -5.02. Let b = -5.00004 + j. What is b rounded to 5 dps? -0.00004 Let u(b) = b + 4. Let f be u(-8). Let d be (-2)/f*(1 - 1). Suppose t + 620000 = -d*t. Round t to the nearest 100000. -600000 Let k = -83 - -82.59. Let v = k + 1.59. Round v to 1 dp. 1.2 Let u = 8222.04003 - 8222. Let x = u - 0.04. What is x rounded to 5 dps? 0.00003 Let z = 558253.141 + -558486. Let b = z + 233. Round b to 2 dps. 0.14 Let q be (1 - 1)*(-1 - 0). Let m be (-1 - -1) + 207 + q. Suppose m = t - h + 672, 0 = -4*t + 3*h - 1855. Round t to the nearest one hundred. -500 Suppose 2*x = 4*t + 171988, -2*t + 0*t = -4*x + 343994. Round x to the nearest 100000. 100000 Let b = 128254642.5718182 + 29.4281818. Let k = b - 128254665.4999949. Let q = 6.5 - k. What is q rounded to 6 dps? -0.000005 Let o = 91.000375 - 91. What is o rounded to five decimal places? 0.00038 Suppose 2*z - 454002 = 98462. Let v = z - -83768. Round v to the nearest one hundred thousand. 400000 Let v = 52 - 52.0087. What is v rounded to 3 dps? -0.009 Let k = 3 + -6. Let w be 390*(-10)/k*1600. Round w to the nearest one hundred thousand. 2100000 Let d(j) = 2 - 623*j + 3 - 6. Let t be d(3). What is t rounded to the nearest one hundred? -1900 Let q(p) = p**2 + 5*p + 6. Let n be q(-4). Suppose 0*m + 12384 = s + 4*m, -5*s + 62008 = -n*m. Round s to the nearest one thousand. 12000 Let g(f) = f**2 + 3*f - 2. Let q be g(-4). Let l be 64996 + q - (-4 + 2). What is l rounded to the nearest ten thousand? 70000 Let y = -138 - -138.00000089. Round y to seven decimal places. 0.0000009 Suppose -6*p + 5057126 = -57342874. Round p to the nearest 1000000. 10000000 Suppose 4*c - 16 = 0, 5 = -5*v + 3*c - 12. Let s(d) = 434307*d**2 - 1 + 423117*d**2 + 552577*d**2. Let n be s(v). Round n to the nearest 100000. 1400000 Let i = 9 + -9.0000061. What is i rounded to six dps? -0.000006 Let t = 792758 - 785606.82. Let c = t - 7056. Let x = c + -96. What is x rounded to 1 decimal place? -0.8 Let p = 37 + -77. Let w = p + 147. Round w to the nearest ten. 110 Let w = 8.22616 + -337041.22616. Let g = -337035.799926 - w. Let s = -2.8 - g. Round s to 5 dps. -0.00007 Let c = 11 + -11. Suppose c = -5*h + 3688935 + 67811065. Round h to the nearest one million. 14000000 Let r = 0.04 - -0.01. Let s = r - 0.050028. Round s to five decimal places. -0.00003 Let l = -9.8 - 0.18. Let p = -0.6 - 9.4. Let f = l - p. Round f to two dps. 0.02 Let m = -0.139 - -0.1390372. Round m to 6 decimal places. 0.000037 Let t(y) = 37222*y**2 - 2*y - 4. Let c be t(-3). Suppose 3*j + c = -2*j. What is j rounded to the nearest ten thousand? -70000 Let j be (-1)/2 - 4635/(-6). Round j to the nearest one hundred. 800 Let k = 66123 + -66214.961. Let d = 0.72 + 91.28. Let c = d + k. What is c rounded to 2 decimal places? 0.04 Suppose 5*a + 1 + 3 = q, -2*a = 2*q - 8. Let l be 3900 - (0 + 0 + 0). Suppose q*s - s + l = 0. What is s rounded to the nearest one thousand? -1000 Let p = 0.9 + -1. Round p to 1 dp. -0.1 Let g = -109604 + 207604. Round g to the nearest ten thousand. 100000 Let q be (6 + 0)*3/6. Let h be (0 - 5/(-2))*2. Suppose -3*b - 34506 = q*t, 2*b + h*t + 18688 + 4322 = 0. Round b to the nearest one thousand. -12000 Let y = 11202 - 11201.93729. Let w = y + -0.063. Round w to four decimal places. -0.0003 Let q = -46 - -45.64. What is q rounded to one dp? -0.4 Let w = -67.9355 + -0.1645. Let h = w + 63. Let l = h - 1.2. What is l rounded to 0 decimal places? -6 Let p = 148.183304 + -143.18330395. Let a = 5 - p. What is a rounded to 7 dps? -0.0000001 Let t = 1084 - 1083.471. What is t rounded to 1 dp? 0.5 Let o = 7.09853 + -7.1. Round o to four dps. -0.0015 Let l = 40 + -39.999824. Round l to 5 dps. 0.00018 Let n = 76.00000047 + -76. What is n rounded to 7 decimal places? 0.0000005 Suppose 23 = 5*g - k, -4*k - 7 - 9 = -g. Suppose -g*w + 506 = -634. Suppose 2*q - w = -q. What is q rounded to the nearest ten? 100 Let x = 691 + -483. What is x rounded to the nearest 10? 210 Let m(l) = 2*l**2 + 2*l - 2. Let s be m(2). Suppose 3*j = 67 - s. Let v = 14 + j. Round v to the nearest 10. 30 Let d be 4 - (11160013 + -1)/3. Round d to the nearest one hundred thousand. -3700000 Suppose 4*n + 0*n = 4, 5*a + n - 24121 = 0. Suppose -p = 2*x + 3781 + a, 4*x - 3*p + 17185 = 0. Round x to the nearest 1000. -4000 Let d = -6733 - -6772.19. Let p = d + -40. What is p rounded to 1 decimal place? -0.8 Let x = -1592048 - -612048. What is x rounded to the nearest one hundred thousand? -1000000 Suppose 2*y = -4*q - 2*y, -12 = -q + 5*y. Suppose m = -q*m + 480000. Round m to the nearest 100000. 200000 Let h = -0.19995 + 0.2. What is h rounded to five dps? 0.00005 Let x be 750*(-2 - 188/10). Round x to the nearest 1000. -16000 Let k be 1/(2/(-10))*4. Let n be 8/(-10) + 4/k. Let i be n + (0 - 2 - -230003). What is i rounded to the nearest 100000? 200000 Let x(t) = t - 2. Let o be x(4). Let w = o - -6. Let m be 6/8 + 2/w. Round m to one decimal place. 1 Let b = 16 + -5. Let s = -3.2 + b. Round s to zero dps. 8 Suppose 0 = -4*g + 78634 + 23226. Suppose -4*w - g = 2135. What is w rounded to the nearest 1000? -7000 Let s = 3.99848 - 4. Round s to 4 dps. -0.0015 Let r = 67.1 + -66. What is r rounded to the nearest integer? 1 Let p = -0.05 + -0.02. Let v = p - -0.03. Let s = 0.04002 + v. What is s rounded to five dps? 0.00002 Suppose -2*t = 5*i - 253, -3*t - 97 = -2*i - 8*t. Let r = -30 + i. Suppose -z + 150 - r = 0. What is z rounded to the nearest ten? 130 Let w = 677.593 - 678. What is w rounded to one decimal place? -0.4 Suppose 3 = -4*y - 3*b, -5*y - 1 = 5*b - 4*b. Suppose -3*k + 8*k - 721895 = y. Let f = -88379 + k. Round f to the nearest 10000. 60000 Suppose 2*k = -b - 452, 5*k - 3*k + 4*b + 440 = 0. Round k to the nearest 10. -230 Let u = 30.1826613 - 0.182663. Let p = 30 - u. Round p to 6 decimal places. 0.000002 Let s = -3.03 - 175.97. Let g = -179.73 - s. Round g to 1 dp. -0.7 Let t be 0/(-1) - (-7)/(-1). Let y(c) = 5*c**2 - 5*c + 10. Let p be y(t). What is p rounded to the nearest 100? 300 Let y(j) = 1911*j + 22. Let w be y(-2). Round w to the nearest one thousand. -4000 Let m = 2417 + -5641. Let t = 46776 - m. What is t rounded to the nearest 100000? 100000 Let i = -37.555 + -21498.445. Let p = i - -21534.59944. Let n = p - -1.4. Round n to four decimal places. -0.0006 Let w = -775584 - 765551. Let l = 3111135 + w. Round l to the nearest one hundred thousand. 1600000 Let l = -17.09858 + 17.1. Round l to 4 dps. 0.0014 Let s = 0.02 - 0.01999768. Round s to 7 dps. 0.0000023 Let a = -2465212 + 2465206.99
{ "pile_set_name": "DM Mathematics" }
2 - 1/60*s**5 + 0 + 0*s**4. Let j(k) = -43*k. Determine n(j(a)). -1849*a**2 Let l(v) = v**2. Let k(y) be the first derivative of -5*y**2/2 - 9*y - 8. Calculate k(l(p)). -5*p**2 - 9 Let d(a) be the second derivative of -35*a**3/6 - 6*a + 6. Let s(v) = -2*v. Determine d(s(w)). 70*w Let o(l) = -164*l + 57*l + 57*l + 49*l. Let m(n) = -197*n**2. Determine o(m(q)). 197*q**2 Let g(v) be the first derivative of v**3/3 - 3. Let z(h) be the third derivative of -h**5/5 - 10*h**2 - 3. What is g(z(t))? 144*t**4 Let a(s) = 6*s. Let g(c) be the second derivative of -c**6/720 + 5*c**4/4 - 13*c. Let o(u) be the third derivative of g(u). What is a(o(l))? -6*l Let h(n) be the first derivative of 5*n**3 - 151. Let v(s) = -12*s. What is v(h(d))? -180*d**2 Suppose 0 = -5*o - 39 + 159. Let c = 31 - o. Let i(q) = c - 6 - q - 1. Let x(y) = -y. Determine x(i(n)). n Let a(g) = 83*g + 11. Let h(u) = 18*u**2. Give h(a(i)). 124002*i**2 + 32868*i + 2178 Let u(o) = 5*o**2. Let s(j) = -25*j + 56 - 31 + 24*j. What is s(u(h))? -5*h**2 + 25 Let z(y) = y. Let b(h) be the first derivative of 5*h**2 + 6 + 8 - 9*h**2. Calculate b(z(k)). -8*k Let d(m) = 948*m. Let c(l) = -l**2 + 30*l - 2. Let n(p) = 4*p**2 - 105*p + 7. Let b(f) = 21*c(f) + 6*n(f). Calculate b(d(g)). 2696112*g**2 Let z(s) = 3*s**2. Let h(c) = 2*c**2 - 5. Let t(x) be the third derivative of x**5/10 - 8*x**3/3 + 30*x**2. Let n(a) = -16*h(a) + 5*t(a). Calculate z(n(v)). 12*v**4 Let m(y) = -5*y. Let q(p) be the second derivative of -2*p**3 - p + 23. Give m(q(h)). 60*h Let c(s) = 186*s - 1 - 188*s + 1. Let p(x) = -x - 300. What is c(p(i))? 2*i + 600 Let m(z) = -13*z. Let d(n) = 37*n**2 + 5*n + 5. Let r(l) = l + 1. Let j(f) = d(f) - 5*r(f). Give m(j(o)). -481*o**2 Let i(t) = 11*t**2. Let w(h) = 551 - 551 + 18*h**2. What is w(i(b))? 2178*b**4 Let j(i) = -32*i + 32. Let y(w) = 2. Let u(s) = j(s) - 16*y(s). Let z(t) = -4*t**2. What is z(u(q))? -4096*q**2 Let s(x) = -2*x. Let m(d) = 22679*d. What is s(m(l))? -45358*l Let t(p) = -47694732*p**2 - 2*p + 2*p + 47694740*p**2. Let w(j) = -2*j + j + 3*j. Give w(t(h)). 16*h**2 Suppose 4*q + 28 = 2*v, 2 = 3*v + 2*q + 2*q. Let n(x) = 7*x - x + 2*x - v*x. Let h(r) = -4*r. Calculate h(n(c)). -8*c Let l(q) = -q. Let w(r) be the third derivative of -79*r**5/30 + 11*r**2 - 6*r. What is l(w(s))? 158*s**2 Let r(k) be the first derivative of 0*k**2 + 0*k**3 - 5/4*k**4 + 5*k + 8. Let b(v) be the first derivative of r(v). Let l(h) = -2*h**2. Calculate l(b(g)). -450*g**4 Let r(l) = l**2 + 804*l. Let t(h) = 7*h**2. Give r(t(x)). 49*x**4 + 5628*x**2 Let l(d) = -d**2. Let z(g) = 336034*g. Calculate z(l(b)). -336034*b**2 Let w(l) = -15*l**2 - 4*l. Let p(b) = 1649*b**2 + 442*b. Let d(n) = 6*p(n) + 663*w(n). Let c(v) = -6*v**2. Give d(c(q)). -1836*q**4 Let p(z) be the first derivative of 0*z - 9 + 1/2*z**2. Let j(m) = -24*m**2. What is j(p(n))? -24*n**2 Let d(j) be the second derivative of j**4/6 - j. Let o(i) be the second derivative of 10*i**4/3 + 5*i + 59. What is o(d(y))? 160*y**4 Let y(q) = -2*q. Let x(l) be the second derivative of 5*l**3/6 - l**2/2 - 14*l + 2. Calculate y(x(g)). -10*g + 2 Let r(v) = 133*v**2. Let p(u) = 12*u**2. Let s(n) = 56*p(n) - 5*r(n). Let l(b) = -2*b - b + 2*b + 2*b. What is l(s(j))? 7*j**2 Let h(r) = -r. Let t(j) = 2*j. Let n(c) = 3*h(c) + 2*t(c). Let m(g) = 0 + 7*g**2 + 0 - 3*g**2. Give n(m(w)). 4*w**2 Let f(n) = 4*n**2 + 31. Let m(d) = 7*d - 30. Let r(t) = -3*t + 12. Let j(y) = 2*m(y) + 5*r(y). What is f(j(c))? 4*c**2 + 31 Let q(i) = 403*i**2. Let y(o) = 10*o + 3*o - 65*o + 50*o. Calculate y(q(p)). -806*p**2 Let q(f) = 2*f**2. Let j(x) = -195*x + 85. Let g(w) = 9*w - 40 + 5*w + 34. Let b(l) = 85*g(l) + 6*j(l). Calculate q(b(u)). 800*u**2 Let y(x) = -2*x. Let d be (2 + 4)*(-6)/(-12). Let k(u) = 0*u + d*u - u - 4*u. Determine y(k(r)). 4*r Let u(z) be the third derivative of z**5/60 - 18*z**2. Let t = 71 - 38. Let a(o) = -33 + 5*o + t. Determine a(u(r)). 5*r**2 Let a(i) be the third derivative of i**6/45 + 13*i**4/24 + 14*i**2. Let o(p) be the second derivative of a(p). Let f(c) = -2*c**2. Determine f(o(g)). -512*g**2 Let n(t) = -t**2 + 1. Let b(d) = 3*d**2 - 4. Let c = -28 - -29. Let x(k) = c*b(k) + 4*n(k). Let v(m) = 2*m**2. What is x(v(w))? -4*w**4 Let x(p) = -12*p. Let r(s) = -38*s + 66*s - 30*s. Calculate r(x(d)). 24*d Let w(j) be the third derivative of j**5/20 + 4*j**2. Let l be 6*1 + (-40)/10. Let t(s) = 9*s + s**l - 9*s - 3*s**2. Determine t(w(v)). -18*v**4 Let u(h) = -21*h + 59. Let m(w) = -3*w. Calculate u(m(q)). 63*q + 59 Suppose 6 = 4*z - 14. Let i(v) = -9*v - 37 + 37. Let a(o) = 5*o. Let y(l) = z*a(l) + 3*i(l). Let d(c) = -2*c**2. Give d(y(n)). -8*n**2 Let n(z) = 3*z**2 + z**2 - 2*z**2. Let c be (1 + 0)*(5 - 5). Let i(g) = -g**2 + 1 - 1 + c. Calculate n(i(h)). 2*h**4 Let w(h) = -8*h. Let k(x) = -1092*x**2 + 8. What is k(w(b))? -69888*b**2 + 8 Let x(q) = -14*q**2 + 6*q**2 + 4*q**2 + 3*q**2. Let o(p) = -p - 101. Calculate o(x(b)). b**2 - 101 Let w(c) = -c. Let h(n) = -3*n. Let t(j) = -6*h(j) + 17*w(j). Let x(q) = 6*q**2 + 2. Let z(r) = -r**2 + 1. Let a(k) = -x(k) + 2*z(k). Determine t(a(y)). -8*y**2 Let a(f) = -4*f. Let z(q) = 233*q**2 - q + 52. Calculate z(a(r)). 3728*r**2 + 4*r + 52 Suppose 6 = -4*f + 14. Let x(i) = -i + 2*i + f*i - i. Let p(l) = 3*l**2. Give x(p(y)). 6*y**2 Let w(k) = 4*k - 2. Let i(t) = -9*t**2 + 21*t**2 - 14*t**2. Give i(w(a)). -32*a**2 + 32*a - 8 Let h(w) = 2*w**2 - w - 1. Let b(q) = -q**2 + q + 1. Let m(g) = 2*b(g) + 2*h(g). Let v(x) = -156*x. Determine v(m(t)). -312*t**2 Let i(b) = -2*b. Let o(q) be the first derivative of 0*q**2 + 0*q + 18 + 1/3*q**3. What is o(i(f))? 4*f**2 Suppose -5*l = -3*l + 4. Let w = l - -8. Let s(y) = -7*y - w*y + 9*y. Let b(d) = -d**2. Calculate s(b(f)). 4*f**2 Suppose 25 = -0*j + j. Let i(a) = -1 + j*a - 4*a + 1. Let n(m) = 2*m**2. Determine i(n(r)). 42*r**2 Let x(o) = -9*o - 22. Let s be x(-3). Let r(f) be the third derivative of 4*f**2 + 0*f**4 + 0*f**3 - 1/20*f**s + 0 + 0*f. Let y(w) = -2*w**2. Determine y(r(b)). -18*b**4 Let r(j) = j + 4. Let k(f) = -14*f - 36. Let g(u) = -2*k(u) - 18*r(u). Let n(t) = 8*t. What is g(n(q))? 80*q Let i(y) = y**2. Let v(h) = 1 + 3*h**2 + 0*h**2 - 5 + 11. Give v(i(w)). 3*w**4 + 7 Let o(y) be the third derivative of y**5/24 + 2*y**3/3 + 15*y**2. Let t(j) be the first derivative of o(j). Let h(x) = 4*x. Calculate t(h(a)). 20*a Let x(a) = -485*a. Let r(f) = 2*f + 56. Give r(x(s)). -970*s + 56 Let r(h) be the first derivative of -5*h**2/2 + 726. Let s(m) = 174*m**2. Calculate s(r(n)). 4350*n**2 Let n(h) = 5*h**2. Let g(y) = 4*y**2 - 3. Suppose 4*s = 4*a + 20, 2*s = -0*s + 4. Let x(j) = -12*j**2 + 8. Let r(m) = a*x(m) - 8*g(m). Give r(n(l)). 100*l**4 Let d(z) be the third derivative of -z**5/20 + 361*z**2. Let n(j) = -187*j. Calculate n(d(s)). 561*s**2 Let p(q) = q**2 - 18*q + 18*q. Let l(v) = -97*v**2 + 2382*v - 2382*v. Give l(p(g)). -97*g**4 Let v(h) = -3*h**2. Let g(n) = 2*n - 8267. What is g(v(q))? -6*q**2 - 8267 Let f(y) = -y. Let s(c) = -11*c + 2. Let n(v) = 11*v - 3. Let d = 35 + -32. Let j(x) = d*s(x) + 2*n(x). Calculate j(f(p)). 11*p Let j(o) = -o. Let g(z) be the first derivative of -754*z**3/3 - 62. Calculate g(j(v)). -754*v**2 Let p(i) = 2*i - 6. Let a be p(6). Let u(m) be the second derivative of a*m - 1/6*m**4 + 0 + 0*m**3 + 0*m**2. Let d(s) = -4*s. Calculate u(d(w)). -32*w**2 Let i(z) = 48*z**2. Let a(c) = 20*c**2 + 14*c + 14. Let l(n) = 2*n**2 + 2*n + 2. Let r(k) = 2*a(k) - 14*l(k). Give i(r(v)). 6912*v**4 Let x(m) be the first derivative of 15*m**2/2 - m - 464. Let s(z) = -4*z**2. Determine s(x(v)). -900*v**2 + 120*v - 4 Let f(r) = 2*r. Let w(q) = -5*q - 164. Let i(j) = -2*j - 83. Let n(z) = 9*i(z) - 4*w(z). Calculate f(n(h)). 4*h - 182 Let z(p) be the third derivative of -p**5/60 - 21*p**2. Let n(b) be the third derivative of 0 - b**2 + 0*b**4 + 0*b**3 - 1/30*b**5 + 0*b. Give n(z(g)). -2*g**4 Let d(r) = r**2. Let l be ((-4)/(16/6))/((-3)/8). Let b(x) = x + 2*x - l*x. What is b(d(h))? -h**2 Let s(b) = -2*b - 1182. Let p(a) = -580*a. Give s(p(k)). 1160*k - 1182 Let z(b) = 5*b**2. Let v(a) = 9*a + 7. Let y(p) = 4*p + 10. Let t(m) = -m + 1. Let q(c) = 4*t(c) - y(c). Let f(h) = -7*q(h) - 6*v(h). What is f(z(u))? 10*u**2 Let q(n) = 2*n**2. Suppose -18*z + 69 - 69 =
{ "pile_set_name": "DM Mathematics" }
= 454.0711 + -0.0711. Let v = -454.00253 + m. What is v rounded to 4 dps? -0.0025 Let y = 621 + -327. Let t = 294.000091 - y. Round t to six decimal places. 0.000091 Suppose z - 203788007 = -4*y, 1195*z - 1196*z = -y + 50946993. Round y to the nearest 1000000. 51000000 Let y = 13938934131 + -13938934260.99999426. Let f = -130 - y. What is f rounded to seven dps? -0.0000057 Let j = 0.86 + -0.9365. Let m = 0.075721 + j. What is m rounded to 4 decimal places? -0.0008 Let d be -4 + 0/((1 - 2) + 0). Let h be -2 + 8/d*-705. Let l be (-3)/((-3)/2) + h/11. Round l to the nearest one hundred. 100 Let m(y) = 2709*y**2 - 53*y - 12. Let h be m(24). What is h rounded to the nearest one hundred thousand? 1600000 Let m = -2971 - 19004. Round m to the nearest 10000. -20000 Let u(r) = 2*r + 42. Let h be u(-20). Suppose 5*c = -f + 4, f - h*c = -0*f + 4. Let z be 3*(-1278004)/(-18) - f/6. What is z rounded to the nearest 10000? 210000 Let r = 6082 + -6081.2574. Round r to two dps. 0.74 Let a(g) = 42*g**3 - 27*g**2 - 183*g + 10. Let l be a(20). What is l rounded to the nearest 1000? 322000 Let d = -193 - -433. Suppose d = 9*w - 2424. Suppose 3*a + 4*z + 148 = a, -4*a - z = w. What is a rounded to the nearest 10? -70 Suppose -68132 - 60247 = -3*y - 3*o, -3*y + 128397 = -3*o. Suppose -13*x + 8*x + y = -2*n, -3*n - 42794 = -5*x. Round x to the nearest 1000. 9000 Let j(h) = 49640*h**2 + 1. Let r be j(1). Let g(b) = -44790*b + 271. Let q be g(-3). Let y = q - r. Round y to the nearest 10000. 90000 Let w(g) = 17490*g - 11. Let i be w(2). Let f = i - 17769. What is f rounded to the nearest one thousand? 17000 Let d = -0.09205 + 0.09211383. What is d rounded to 5 dps? 0.00006 Let b = -1411.9601 - -1766.96445. Let i = -355 + b. Round i to four decimal places. 0.0044 Let k = -214.9008587 - 0.1043413. Let i = k + 215. What is i rounded to three dps? -0.005 Let o = -496.8845 + -0.0155. Let i = -496.87253 - o. Round i to 3 dps. 0.027 Let i = -1.026 - 2523.574. Round i to the nearest 100. -2500 Let c = -33 + 38. Suppose -3*w = -c*w - p + 1099996, -2*p = 2*w - 1099992. What is w rounded to the nearest 1000000? 1000000 Let w = 0.18 + -1.96. Let x = w + 0.12. Let b = -3 - x. Round b to 1 dp. -1.3 Let v = 24642.5833 + -24641. Round v to two dps. 1.58 Let k = 0.634 + -0.97. Let f = k + 0.335999707. Round f to 7 dps. -0.0000003 Let u = -2451.29925 + -1.51075. Let s = u + 2405. Let k = -48 - s. Round k to one dp. -0.2 Let r = -262 + 59. Let y = 202.999997 + r. What is y rounded to 4 dps? 0 Let b(l) = 11*l**3 - 6*l**2 - 10*l - 10. Let k(h) = -h**3 - 4*h**2 + 10*h. Let d be k(2). Let c be b(d). What is c rounded to the nearest 1000? -1000 Let v = 98.4601591 - 0.0395591. Let m = -0.0206 + v. What is m rounded to the nearest ten? 100 Let s = 31.79 - 32. Let o = 0.191 + s. Let m = 0.01926 + o. Round m to 4 decimal places. 0.0003 Let n(z) = -123 + z**2 - 113 - z + 218. Let y be n(-4). Let u be (506/55)/(y/50). Round u to the nearest 10. 230 Let v(l) = 14966*l + 454. Let i be v(-14). What is i rounded to the nearest 1000? -209000 Let k = -281.122 + -0.878. Let s = -281.999513 - k. What is s rounded to 5 dps? 0.00049 Let t = 340764 + -122274. What is t rounded to the nearest ten thousand? 220000 Let o = -0.328 + 0.111. Let n = 1.753 - o. Let z = n - 0.07. Round z to the nearest integer. 2 Let m = -147447147.60000005 - -147447136. Let a = 11.6 + m. What is a rounded to 6 dps? 0 Let n = 2342838 + -291338. Round n to the nearest one hundred thousand. 2100000 Let k = 17506.999963584 + -17507. Round k to 6 decimal places. -0.000036 Let a = -91425870395.400000239 + 91425870449. Let f = -53.6 + a. Round f to 7 dps. -0.0000002 Let n = 1719079842.0000282 - 1719079581. Let j = -125 + -136. Let a = n + j. What is a rounded to 6 decimal places? 0.000028 Let h = -12407.9987803 + 12408. Round h to three decimal places. 0.001 Let v = 64 + -54. Let w be v/30 - (-56)/3. Let a(h) = h**2 - 26*h - 19. Let j be a(w). Round j to the nearest 10. -150 Let f(g) = -426408*g - 80. Let b be f(-4). Suppose -6*v - 874448 - b = 0. Round v to the nearest one hundred thousand. -400000 Let w = -25.31 - -2.31. Let k = 3883644 - 3883620.999882. Let v = k + w. Round v to five decimal places. 0.00012 Let y = -0.1504304827 - 79.6495783873. Let p = -79.8 - y. What is p rounded to 6 dps? 0.000009 Suppose -19 = -5*r + 1. Suppose 0 = 4*p - h - 181595, 93405 - 275010 = -r*p - h. What is p rounded to the nearest ten thousand? 50000 Let r = -1.3 - -5.8. Let t = 240 + -244.528. Let l = r + t. Round l to two decimal places. -0.03 Suppose -3*i - 3558004 = -t, 15*i - 4744020 = 19*i - 5*t. Round i to the nearest 100000. -1200000 Let u = -244.506 - -241.9. Let c = u - -9.779. What is c rounded to zero decimal places? 7 Let w be (-50115)/(-2)*(((-1455688)/(-39))/(-4) - 2). What is w rounded to the nearest 1000000? -234000000 Suppose 2*y = -3*y - j - 585, -5*y + 5*j = 615. Let i = y + 123. Suppose 4*x + 658 = 2*p, -2*p - i*x = -103 - 528. What is p rounded to the nearest ten? 320 Suppose -111*c - 1374834 = 10331115. What is c rounded to the nearest 10000? -110000 Let k = 116.69499929689 - 116.695. Round k to seven dps. -0.0000007 Suppose 85*y - 6758804 = 4*f + 83*y, -4*y + 3379408 = -2*f. Round f to the nearest 10000. -1690000 Let s = -596003 - 124357. What is s rounded to the nearest one hundred thousand? -700000 Suppose -h = 1 - 5. Let k be 37/7 + h/(-14). Let t(j) = j**3 - 4*j**2 - 5*j - 6. Let q be t(k). What is q rounded to the nearest 10? -10 Let q = 3423 - 3422.8552. What is q rounded to two dps? 0.14 Let l = -0.963 + 6.239. Let c = l - 5.4. Let j = c + -0.046. Round j to one dp. -0.2 Let i = -105168493 - -105155848.1587. Let m = i - -12644. Let f = -0.85 - m. Round f to two decimal places. -0.01 Let r = 5138 - 5138.18175. Round r to two dps. -0.18 Let b = -100 + 99.945. Let h = b + 23.055. Let g = 22.999999926 - h. What is g rounded to 7 decimal places? -0.0000001 Let k = 7.928 - 8.127874. Let i = 0.2 + k. Round i to 5 dps. 0.00013 Let n(t) = -8*t + 28. Let l be n(3). Suppose -l*j + i - 64240247 = -2*i, 3*j = 4*i - 48180194. Let z = 35560058 + j. What is z rounded to the nearest 1000000? 20000000 Let z = -15340.438 + 15321. Let r = z - 184.292. Let u = r + 207. Round u to zero decimal places. 3 Let v = -26528.9999966995 - -26529. Round v to seven dps. 0.0000033 Let p be 0/12 - (-42)/(-1). Let i be (28/p)/(2/(-81)). Suppose 23*l = i*l + 84. Round l to the nearest ten. -20 Let g = 111.8 - 117.63. Let m = g + 10.3. What is m rounded to the nearest integer? 4 Let b = -145 + 144.993. Let t = b - -0.00700536. Round t to six dps. 0.000005 Suppose 7*t = 3*t + 4*y + 101304, -2*t - 2*y = -50624. Round t to the nearest one thousand. 25000 Let z be -4 + 9 - 1/(-2)*0. Suppose z*f - 36096964 = -118596964. Round f to the nearest one million. -17000000 Let m = -190.3699969469 - -190.37. Round m to 7 decimal places. 0.0000031 Let f = -8597055.841 + 8597075.140999505. Let s = -0.6539 - 18.6461. Let i = f + s. Round i to 7 dps. -0.0000005 Let v = 0.4361392995 + 863.5637211005. Let l = 864 - v. Round l to five dps. 0.00014 Suppose -z = 2*n - 477102, -5*z + 266011 + 2119493 = 4*n. What is z rounded to the nearest one hundred thousand? 500000 Let j = 188 - 155. Suppose 36*p = j*p - 16200. Round p to the nearest 100. -5400 Let n = 223 - 223.0004365. What is n rounded to 4 decimal places? -0.0004 Let z = 41516 - 41498.007. What is z rounded to 1 decimal place? 18 Suppose -2*h = 5 + 1, 5*y - 32 = 4*h. Suppose 0 = 10*j + y*j + 333200. What is j rounded to the nearest one thousand? -24000 Let n = -135.707 - 0.293. Let g = 532 + n. Let l = g + -395.999807. Round l to five decimal places. 0.00019 Suppose -8 = 3*q - 2. Let y be (-10)/(((-4)/(-22))/(q - -1)). Let n = -1025 + y. What is n rounded to the nearest one hundred? -1000 Let v = -5176486.251 + 5176752.2509843. Let f = v + -266. Round f to 5 dps. -0.00002 Let n = -0.057727 - -0.0549277. Round n to 4 dps. -0.0028 Suppose 2*a - 7 = -4*p + 5, 4*p + 3*a = 10. Suppose -3*u = p*c - 572799994, -c - 20*u + 143200004 = -22*u. Round c to the nearest one million. 143000000 Let l(u) = -5*u**3 + 17*u**2 - 11*u - 270. Let x be l(30). What is x rounded to the nearest ten thousand? -120000 Let a be (-1)/(-14)*4 + 356/28
{ "pile_set_name": "DM Mathematics" }
icked without replacement from iiifwiffwi. What is prob of sequence fiwf? 1/84 Two letters picked without replacement from pkpmpqqqemqppku. Give prob of sequence qp. 2/21 What is prob of sequence cnsb when four letters picked without replacement from {n: 3, t: 1, s: 2, b: 6, c: 1, w: 2}? 1/910 Three letters picked without replacement from {g: 2, j: 2}. Give prob of sequence gjg. 1/6 Two letters picked without replacement from lldkkkkud. What is prob of sequence lu? 1/36 Four letters picked without replacement from vdavvavvvadvaaaavaa. Give prob of sequence daad. 1/646 What is prob of sequence clvf when four letters picked without replacement from clfcvvv? 1/140 Two letters picked without replacement from pnnnnnnnnnnn. What is prob of sequence np? 1/12 Three letters picked without replacement from ikiqaiooiqkqoooiaaa. What is prob of sequence qqq? 1/969 Calculate prob of sequence wwww when four letters picked without replacement from {u: 1, w: 14}. 11/15 Four letters picked without replacement from ymmblqbyllbqllyyqml. What is prob of sequence lqyy? 3/1292 What is prob of sequence on when two letters picked without replacement from {l: 1, o: 4, n: 1, v: 1, s: 4}? 2/55 Calculate prob of sequence ath when three letters picked without replacement from tthatnncnttnhnathtnn. 7/1140 Four letters picked without replacement from pioxccow. What is prob of sequence wxpo? 1/840 What is prob of sequence xkkk when four letters picked without replacement from kxxkkkk? 1/7 Three letters picked without replacement from zzzzzoozzo. Give prob of sequence ooo. 1/120 Two letters picked without replacement from gcgbiacaccgczgc. Give prob of sequence bg. 2/105 What is prob of sequence llpp when four letters picked without replacement from {l: 2, p: 9}? 1/55 Calculate prob of sequence wswy when four letters picked without replacement from ysccyscccsyscwywwc. 1/765 Calculate prob of sequence ry when two letters picked without replacement from {j: 2, y: 1, m: 3, s: 6, r: 3, v: 5}. 3/380 Calculate prob of sequence uay when three letters picked without replacement from uaaaaauaay. 7/360 Calculate prob of sequence bdrc when four letters picked without replacement from {d: 2, r: 1, b: 2, c: 11, v: 3}. 11/23256 What is prob of sequence yy when two letters picked without replacement from {y: 2, q: 1, l: 1, u: 2}? 1/15 Calculate prob of sequence qq when two letters picked without replacement from {q: 3, k: 2, z: 2, n: 13}. 3/190 Four letters picked without replacement from {s: 13, a: 1, r: 3}. Give prob of sequence rras. 13/9520 Three letters picked without replacement from kfssswwwffddswdf. What is prob of sequence ssk? 1/280 Four letters picked without replacement from {d: 1, y: 7, z: 5, b: 1, r: 1, l: 5}. Give prob of sequence rbdl. 1/23256 Four letters picked without replacement from ubuuuuubuuuuububuu. What is prob of sequence uubu? 91/765 Calculate prob of sequence nt when two letters picked without replacement from {t: 2, n: 16}. 16/153 What is prob of sequence hm when two letters picked without replacement from {b: 11, h: 3, m: 4}? 2/51 Four letters picked without replacement from {y: 5, s: 14}. What is prob of sequence ysyy? 35/3876 Two letters picked without replacement from uomo. What is prob of sequence uo? 1/6 What is prob of sequence io when two letters picked without replacement from {i: 3, k: 11, v: 1, o: 1, s: 2}? 1/102 Two letters picked without replacement from kpkf. What is prob of sequence pk? 1/6 What is prob of sequence uj when two letters picked without replacement from {v: 1, u: 1, q: 10, j: 2, x: 2, o: 3}? 1/171 Two letters picked without replacement from zazuaozxoaaaoon. What is prob of sequence oa? 2/21 What is prob of sequence wwgh when four letters picked without replacement from wwccwcwgwcccchww? 1/1040 What is prob of sequence jwhw when four letters picked without replacement from {h: 1, j: 1, k: 1, w: 9}? 1/165 Two letters picked without replacement from {e: 12, a: 1}. What is prob of sequence ea? 1/13 Four letters picked without replacement from {h: 2, y: 4, a: 4, e: 2}. Give prob of sequence ahhe. 2/1485 Two letters picked without replacement from {o: 1, s: 1, r: 2}. What is prob of sequence os? 1/12 What is prob of sequence bli when three letters picked without replacement from bilb? 1/12 Two letters picked without replacement from {c: 1, x: 3, n: 5, k: 2, g: 8, l: 1}. What is prob of sequence gx? 6/95 Three letters picked without replacement from ccwwcgcmmxxgwcg. Give prob of sequence cxc. 4/273 Calculate prob of sequence eel when three letters picked without replacement from eeeeeleeele. 8/55 What is prob of sequence tju when three letters picked without replacement from {j: 6, t: 5, u: 2}? 5/143 Three letters picked without replacement from {p: 2, r: 9, k: 3, q: 4}. Give prob of sequence pkk. 1/408 Calculate prob of sequence ii when two letters picked without replacement from {f: 9, i: 9}. 4/17 What is prob of sequence yttt when four letters picked without replacement from {t: 7, h: 3, w: 2, y: 7}? 245/15504 Four letters picked without replacement from ffgf. Give prob of sequence fgff. 1/4 What is prob of sequence dyle when four letters picked without replacement from yeeyllpepddyydlpplp? 1/646 What is prob of sequence ew when two letters picked without replacement from {z: 1, m: 2, e: 5, b: 5, w: 5}? 25/306 Two letters picked without replacement from evbevb. What is prob of sequence be? 2/15 What is prob of sequence kobk when four letters picked without replacement from {o: 1, k: 9, b: 1, f: 1}? 1/165 Two letters picked without replacement from {a: 1, j: 5, g: 5}. Give prob of sequence ja. 1/22 What is prob of sequence gvvv when four letters picked without replacement from {v: 7, h: 5, g: 8}? 14/969 Calculate prob of sequence ull when three letters picked without replacement from uuuluuuulu. 1/45 Three letters picked without replacement from {a: 5, f: 5, z: 4, b: 1, u: 1, r: 1}. Give prob of sequence zuz. 1/340 Two letters picked without replacement from {m: 6, z: 1, c: 3, r: 4}. What is prob of sequence cz? 3/182 What is prob of sequence eey when three letters picked without replacement from eyeeeeeeeeeeeyeeey? 35/272 Three letters picked without replacement from lciiacccr. What is prob of sequence ccc? 1/21 Three letters picked without replacement from {c: 3, y: 9}. What is prob of sequence ccy? 9/220 Calculate prob of sequence tgye when four letters picked without replacement from {t: 2, y: 1, e: 1, g: 1}. 1/60 What is prob of sequence jo when two letters picked without replacement from {o: 3, j: 2, b: 3}? 3/28 Four letters picked without replacement from nnccccc. What is prob of sequence ncnc? 1/21 What is prob of sequence eelm when four letters picked without replacement from lmieaeam? 1/420 Four letters picked without replacement from {m: 4, x: 3, g: 4, j: 3, i: 6}. What is prob of sequence igmi? 4/969 Two letters picked without replacement from ffnnff. What is prob of sequence nf? 4/15 Calculate prob of sequence mm when two letters picked without replacement from qqqqbqqbmqm. 1/55 Four letters picked without replacement from {n: 7}. What is prob of sequence nnnn? 1 Four letters picked without replacement from ctctttc. What is prob of sequence cctc? 1/35 Calculate prob of sequence uzuu when four letters picked without replacement from {u: 1, c: 1, w: 1, t: 5, x: 1, z: 3}. 0 Three letters picked without replacement from hbbnnnnnnnnnnn. Give prob of sequence bnh. 11/1092 Two letters picked without replacement from {d: 1, c: 3, m: 1}. Give prob of sequence mc. 3/20 Three letters picked without replacement from ozhdnofzddnon. Give prob of sequence nof. 3/572 What is prob of sequence ffzf when four letters picked without replacement from {f: 6, z: 13}? 65/3876 What is prob of sequence cec when three letters picked without replacement from {c: 11, e: 3}? 55/364 Three letters picked without replacement from ifgifngfgg. Give prob of sequence fgg. 1/20 Four letters picked without replacement from {i: 5, q: 2}. What is prob of sequence qqii? 1/21 What is prob of sequence iquq when four letters picked without replacement from ziiqqu? 1/90 Calculate prob of sequence xa when two letters picked without replacement from {x: 2, g: 4, a: 1}.
{ "pile_set_name": "DM Mathematics" }
-10/7 (b) x (c) 56 a Let n be (-30)/4*1276/(-290). Suppose -n*y = -28*y - 5, z + y - 3 = 0. Let c = -0.3 - -0.5. What is the closest to -1 in z, -1/5, c? -1/5 Let l be (-8)/(-4)*(-16)/26*59. Let x = l + 51712/715. Let o = x - -1/11. What is the closest to 1/4 in o, -4, 0.1? 0.1 Let f be 4485/12650 - (-5)/110. What is the nearest to f in -2/35, 4/3, 5, -1/9? -2/35 Let g(t) = t**3 + 3*t**2 - 5*t + 2. Let i be g(2). Let r be i/48 + (-3)/(-20). What is the closest to 0 in 3, 0, r? 0 Let n = -860.5 - -861. What is the nearest to -4/9 in 2/7, n, -2/3? -2/3 Let p = -1 + -1. Let g = -3697 - -3696. Which is the nearest to g? (a) p (b) 1/10 (c) 5 a Let r = 0.207 + 12.143. Let o = -0.65 - r. Which is the closest to o? (a) 3 (b) -0.3 (c) -1/3 c Let v = 1163606/291 - 11996/3. Which is the closest to 1? (a) v (b) 37 (c) -1/3 a Let b = 370.35 - 370. Let y = -0.15 - b. What is the nearest to -2.9 in -2/9, 2, y? y Suppose -4084 + 3904 = -45*q. What is the closest to 0.3 in -0.2, q, 0.5, -7? 0.5 Let k be (6/(-4) + -2)*-2 + -15. Which is the closest to 3? (a) -7 (b) k (c) 0 c Let s = 0.191 + 4.809. What is the nearest to -75 in s, 4, 1/2? 1/2 Let r = 598 + -598.5. Suppose 1099 = -3*f + 1114. What is the closest to f in 2/7, r, -11? 2/7 Let k = -6.162 - -6.262. Which is the nearest to -2/11? (a) -1/132 (b) -3 (c) k a Let v = 37 + -36.963. Let y = 431.863 - 432. Let i = v + y. What is the nearest to i in 0.5, 0.4, -1? 0.4 Let j = -45.083 + 45.183. Let b = 3 + -2.8. Let t = 0.2 - b. What is the nearest to 0 in 6, t, j? t Let z = -1.2 - 2.8. Let u be (-8 - 320/(-45))*(-168)/2240. Which is the nearest to 2/5? (a) z (b) -0.4 (c) -2/19 (d) u d Let h be (-20)/16 - (0 + -2). Let v(n) = n**3 - 10*n**2 - 2*n - 14. Let g be v(9). Let i = g + 1245/11. Which is the closest to h? (a) -5 (b) 2/17 (c) i c Let x = 119 - 143. Let o = x - -23.9. Suppose -2*k + 1 - 3 = 0. Which is the nearest to o? (a) 4 (b) 3 (c) k c Let j = 1.7 - 1.7. Let q = 0.42841 - 0.12841. Which is the closest to j? (a) -4 (b) 5 (c) -1.8 (d) q d Let x = 0.95 + -6.95. Let u = x + 2. What is the closest to 1/5 in u, -3, 3/4? 3/4 Suppose -28 + 94 = -11*h. Let t be 118/h + (12 + -23 - -12). What is the closest to 1 in -3, -4, 2, t? 2 Let i = -3337.4 + 3324.4. Which is the nearest to -1? (a) 0.04 (b) -0.3 (c) i (d) 0 b Let a = -18.364 + 13.364. What is the closest to 2 in 0.1, a, -0.0591, 2? 2 Let w = 17163/68620 + -2/17155. Which is the nearest to 0? (a) -1 (b) 2 (c) w (d) -9.58 c Let u = -26 + 25. Let r = u + -4. Let y = 22.21 + -18.21. What is the closest to 2 in y, r, -2/7? y Let s = 81.2 - -19.8. Let h = s + -101.47. Let u = 0.57 + h. Which is the closest to u? (a) 0.3 (b) -3 (c) 1/10 c Let h = 3984 - 621509/156. Let u = h + -89/468. What is the closest to 2 in 2/17, u, -1/7, -2? 2/17 Let t = -840 - -836. What is the nearest to 0 in t, -10/11, -1? -10/11 Let u = -0.5 + 0. Let s = 1.5 + u. Let t = -89066.04 - -89066. Which is the nearest to s? (a) 2 (b) t (c) -5 a Let u be (-2 - -1)/(7/(-161)). Let z = -111/5 + u. Let r = 4717.1 + -4717. Which is the nearest to r? (a) -3 (b) z (c) -5 b Let l = -41595 + 41593.5. Let u = -33/2 - -16. Which is the closest to u? (a) l (b) -0.5 (c) -4 b Let s = -208 + 204. Let u = -290 - -288. Which is the closest to u? (a) 0.2 (b) s (c) 1/3 b Let u(k) = -k**3 - k**2 - 36. Let i be u(0). Let b be (-5)/20 + 15/i. Suppose 4*n = -3*w - 8 - 0, n + 2 = 4*w. What is the closest to n in b, -0.3, 4? b Let f be 2562/(-210) + (1 - -11). Which is the nearest to 0? (a) -1 (b) f (c) -2 (d) -4 b Let k be (247/247)/((-2)/(-4)). Let g = -2261/8 - -283. Which is the nearest to -2? (a) g (b) 0.1 (c) -0.4 (d) k c Let q = 14 + -18. Let o be q/(8/18*-3). Suppose -5*h + 8 = 2*s, -o*h + 24 - 8 = 4*s. What is the closest to -0.1 in h, -0.3, 1/2? h Let k = 58.96 - 59.6. Let o = -0.64 - k. What is the closest to -1/2 in -2/5, o, 1? -2/5 Suppose -3*z + 453 = 3*i, 0 = -2*i + z + 243 + 44. Suppose 9*n + 128 = i. Suppose -3*p + 8 = -28. What is the closest to -1 in p, n, -1? -1 Suppose 0 = 30*l + 199 - 79. What is the closest to -0.2 in -1/117, 2, l? -1/117 Let k = 16902/7 - 2415. What is the closest to 10 in k, -1/8, 7, -3? 7 Let u = -2291/4 + 16033/28. Which is the closest to u? (a) -2 (b) 2/17 (c) -1/3 (d) 3 c Let w = -9125 + 9126. Which is the nearest to w? (a) 5/26 (b) -2/3 (c) -1/3 a Let r be (-8)/2 - 92/(-24). Let y = 32.96 - 32.86. Which is the nearest to y? (a) -2 (b) 14 (c) r c Let d = 22234 - 22222. Let f be ((-12)/4)/(9/2). What is the nearest to f in d, 1, -5? 1 Let l = 2.5 - 3. Let w = -6186/53 - -55780/477. Which is the closest to 1? (a) w (b) l (c) 1 (d) -4 c Let x = -5.8 - -5.77. Let n = 4510.3 + -4510. What is the closest to 1 in x, 2, n, -4? n Let b be -8 - ((-15)/20 - 77/44) - -9. What is the nearest to 0.6 in 2, b, 0.2? 0.2 Let u be (2 + 5)/(0 - -5). Which is the nearest to u? (a) -2/13 (b) -2 (c) -1 (d) 3/8 d Let s = -6736/39 - -2254/13. What is the nearest to -3/11 in -4, -0.5, s? -0.5 Let u = -0.21 + 0.11. Let t = 3320.7 + -3321. Which is the closest to u? (a) t (b) 43 (c) 0 c Let i = -1.9 - 0.1. Let o = 413010/7 + -59001. Which is the closest to 0.05? (a) o (b) -1/6 (c) i (d) -0.3 b Let m = 0.98 + 197.02. Let o = 197.5 - m. What is the nearest to 0.1 in 5, -59, o? o Let o = 8 + -7.7. Let g = 11.5 - 12. Let z = 1971 - 13799/7. Which is the closest to -2/3? (a) z (b) o (c) g c Let v be 1 + (658/56 - 11). What is the closest to v in 4, 5, 0.4? 0.4 Let r be (153/(-119))/((-20)/(-21)) - (-6)/8. What is the nearest to -11 in 1, 2/7, r? r Let y = 1.41 + 0.59. Suppose -27 + 7 = -5*o - 5*w, -20 = -o - 5*w. Suppose 6*g - 7*g = o. What is the closest to -6 in -1, g, y? -1 Let v be 4/(-5)*1/2. Suppose 21048 - 21532 = -242*y. Which is the closest to 3? (a) y (b) v (c) -3 a Let x = -177 - -1235/7. Let t = -183 - -190.9. Let v = t - 8. Which is the closest to x? (a) -2/15 (b) -1/5 (c) v b Let x = -13308 + 13297. Let q = -0.38 + -0.12. What is the nearest to 1 in x, -2, q? q Let t be 1*3*((-3)/(-2) - 168/108). Which is the closest to 0.1? (a) t (b) 2/3 (c) -0.96 a Let m = 3.2704 - 0.2704. Which is the nearest to 367? (a) 3/5 (b) -5 (c) m c Let p = 281/5 - 56. Let g be (-2)/(-6)*(9 - 0). Let x be g + -1 - (-40)/(-18). What is the closest to x in 0, p, -4/5? 0 Let x = 10774 - 10776. Let f be (-2)/(-4) + (-30)/44. What is the nearest to -0.4 in -5, x, f? f Suppose 3*b + 4*z - 4 = 0, z - 3033 + 3039 = b. Let j = 10.3 + -0.3. What is the closest to 2/11 in 1/6, j, b? 1/6 Let g = -235/22 - -112/11. Let k = 5.9 + -9.8. Let c = k + -0.1. What is the closest to g in -1/3, c, -0.1? -1/3 Let w be (2/(-15))/((-50)/45 - -1). Suppose -f = -3*b - 124, b - 556 = -3*f - 2*f. Let q = f - 558/5. What is the nearest to q in w, -4, 4? w Let r = -3.93 + -0.07. Let n = 3545 + -3546. Which is the closest to 7? (a) 0 (b) 2 (c) r (d) n b Let u = -1673.5 - -1674. Which is the closest to 3/16? (a) 1.1 (b) u (c) 1/6 c Let p = -231 + 129. Let c = p + 103. Let g = 371/24 - 46/3. What is the nearest to c in 5, g, -5/6? g Suppose 0 = 13*d - 12*d. Suppose j - 19 = 5*f - d*f, 3*j + 11 = -2*f. Let g = -84 + 84.3. Which is the closest to -10? (a) 5/2 (b) g (c) j c Let f = -6.1 + 5.854. Let s = f + -0.154. What is the closest to -2/7 in 10, -0.3, s? -0.3 Let l = 3294.5 - 3299.5. Which is the closest to 5? (a) l (b) -70 (c) -4 c Let g(w) = w**2 + 11*w + 25. Let d be g(-8). Let u be (3/6*(3 - 3))/d. What is the closest to -2 in -21, u, -0.1? -0.1 Let t be 12/(-1) - (-37)/3. Let i = -59.2 - -59. Which is the nearest to t? (a) 0.06 (b) i (c) 12 a Let f = 431.289 - 431. Let u = f - 0.089. What is the nearest to 1/3 in -0.3, -25, u? u Let j be (-15)/35*(-182)/156. Let p be 1 - -5 - 3/3. Let y be (-10)/6*2/p. What is the closest to 3 in y, 1, j? 1 Let k = 2/43 - 133/86. Let d be 2/(-19) - (4164/513 + -8). Which is the nearest to -7? (a) d (b) -5 (c) k b Let q = 1994 + -1989. Which is the nearest to -0.5? (a) -2/5 (b) 2/7 (c) q (d) -1/2 d Let t = -5.4 + 5. Let x = -0.152 + -125.848. Let c = x - -125.9. What is the nearest to c in -2, t, -4? t Let c = 30443/286 + -1173/11. What is the closest to c in 5, -0.1, 1/3, -3? -
{ "pile_set_name": "DM Mathematics" }
m(r) composite? True Let k be -4*(2 + (2 - 5)). Suppose 0 = -k*g - x + 70 + 266, 4*g - 324 = -4*x. Is g prime? False Suppose r + r - 4*u = 16, -13 = -r - 3*u. Is r a prime number? False Suppose 0 = -3*f - 5*h + 188, -4*h = 15 + 5. Is f a composite number? False Let w(n) be the first derivative of 22*n**2 - 7*n + 4. Is w(4) prime? False Let h = 14 - 9. Let z(u) = -u**2 + 8*u + 7. Is z(h) a prime number? False Let n(q) = 97*q**2 - 4*q - 1. Is n(2) a prime number? True Suppose -9*u + 9654 = -10857. Is u a composite number? True Let o be (-1 - (-2 + 4)) + -115. Let a = o - -371. Is a a composite number? True Suppose -7*y = -8*y + 307. Is y a prime number? True Suppose -4*m + 336 = m - k, 200 = 3*m + k. Is m a composite number? False Let t(q) = 2*q**3 + 4*q**2 - q - 4. Let n be t(-3). Let p(a) = 5*a**2 + 2*a + 3. Let y be p(-3). Let r = n + y. Is r a prime number? True Suppose 3*k - 3074 = -3*h - 53, -5*h = 4*k - 5037. Is h a prime number? True Let z(m) be the third derivative of 0*m + 2*m**2 + 5/12*m**4 + 0 - 1/60*m**5 + 1/2*m**3. Is z(8) a prime number? True Let x = 471 - 124. Suppose 6*g - 2*g = -h + 82, 3*g = 4*h - x. Is h a composite number? True Is (-4)/(-14) + -2315*2/(-14) prime? True Suppose 1 + 20 = 3*l. Suppose 0 = 3*p - l*p + 212. Is p a composite number? False Let v be 62 - 5 - (-4)/2. Let h = v + -24. Is h prime? False Let w = 4 - 4. Suppose 3*q + 0*q - 18 = w. Is 99/(-6)*(-4)/q prime? True Suppose 0 = m - 2*m + 3. Suppose g = 2*g - m. Suppose 115 = g*v - 4*b, -3*b - 49 = -5*v + 139. Is v a prime number? True Let z be (-259)/35 + (-2)/(-5). Let l(d) = -d**3 - 4*d**2 + 2*d. Is l(z) prime? False Let y = 5 + -3. Suppose -r = 4*g + 2*r + 6, 0 = y*g + 5*r + 10. Suppose 2*q = a - g*a - 305, -5*a - 5*q + 1495 = 0. Is a prime? False Let z = -3 + 1. Let i = z + 5. Suppose 2*h = -i*h + 95. Is h a prime number? True Let l(f) = f**3 + 7*f**2 + f + 7. Suppose 4*k + 33 - 9 = 0. Is l(k) a composite number? False Suppose 2*d - 558 = 424. Is d composite? False Let u be 4/10 + 14/(-10). Is 42 + u + -6 + 4 a prime number? False Let h = 1107 + -640. Is h a prime number? True Let a(s) = 215*s - 7. Is a(4) prime? True Let q(z) = z**3 + z**2 + 8*z - 6. Let w be q(-7). Is (-9)/15 + w/(-10) composite? True Suppose 0 = -2*m + 3 + 7. Suppose -3*a - b + 99 = -502, m*a - 991 = b. Is a a prime number? True Let a(w) = -w - 2. Let m be a(-4). Let x = m - -1. Suppose 85 = x*l + 16. Is l a prime number? True Suppose 2*d = 4*d + 20. Let t = 77 - d. Is t a composite number? True Let i(f) = -15*f**3 - 8*f**2 - 10*f - 19. Is i(-5) composite? True Let g = 1 + -5. Let q(t) = t**3 + 8*t**2 + 7*t - 7. Let s(o) = 3*o**3 + 24*o**2 + 20*o - 21. Let j(r) = g*s(r) + 11*q(r). Is j(-8) prime? True Let x = 151 + -86. Suppose -5*k + 1 = -4. Is (-2 + k)/((-1)/x) composite? True Suppose z + 144 = 2*y, -5*y - 4*z = -10 - 337. Suppose -3*x + 4*x - y = 0. Is x composite? False Suppose -618 = -10*c + 7*c. Is c a prime number? False Let b(k) be the first derivative of -17*k**4 - 2*k**3/3 + k + 1. Is b(-1) a composite number? False Is ((-6861)/12)/(1 - 20/16) a prime number? True Let k(t) = -t**3 - 6*t**2 + 3. Let p be k(-6). Suppose 0 = x + p*x - i + 46, 21 = -x + 5*i. Is 138/(-6)*x/1 prime? False Let h = 0 + 2. Is (1/3)/(h/4518) composite? True Is -2 - 2*(-2043)/6 a prime number? False Is 1*213/(-6)*-2 prime? True Let j(v) = -v**2 + 3*v + 4. Let m be j(3). Suppose d + m = r, 3*d - 4*r + 16 = -0*d. Suppose d = 3*z - 3*y - 549, 3*y + 11 = -z + 210. Is z prime? False Let x be 4/(3/((-12)/8)). Is (3855/(-30))/(x/4) composite? False Let d be 1/(0 + (-3)/(-201)). Suppose a - d = -0*a. Is a a prime number? True Suppose r - 110 = 3*r. Let f = 96 + r. Suppose 4*p = 19 + f. Is p composite? True Let h(w) = -w**3 - 7*w**2 + 8*w + 2. Let f be h(-8). Let q be (-5 - -5)/(f + 0). Is 92 - (3 - q)/3 a prime number? False Let g(a) = 25*a - 61. Is g(16) a prime number? False Let n(b) be the third derivative of -b**4/24 + b**3/6 - b**2. Suppose -4*f = -5*h + 15, -f = -2*h - 0*h. Is n(f) prime? True Let a = -10 - -5. Suppose -4*j = -3*h - 2*j + 31, 4 = 4*j. Let t = a + h. Is t a prime number? False Suppose 3*w - 112 = 4*m + 8*w, 0 = -m + 4*w - 7. Let l = 44 - m. Is l composite? False Let b = -96 - -138. Suppose w = -b + 125. Is w prime? True Let q = 0 - 2. Let r be (72/10)/(q/10). Let t = r + 62. Is t prime? False Suppose -7*r + 3*r = -8, -65 = -3*n + 5*r. Suppose 0 = c + 3*g - n, 5*c + g + 2*g - 149 = 0. Is c a prime number? True Let d(m) = -m - 8 - m + 2. Let t be d(-4). Suppose 5*j = -t*f + 267, 3*f = j + 4*f - 54. Is j prime? True Let z(m) = -8*m + 3. Suppose -5*l - 4*i + 30 = 0, -l = -4*i - i - 6. Let n = 2 - l. Is z(n) prime? False Suppose 5*a - m = 3*m + 4895, 0 = -a + 3*m + 979. Is a a composite number? True Suppose -c = 4 + 3. Let k(x) = -x + 2. Is k(c) a prime number? False Suppose 8 = -y + 3*y. Suppose 0 = 5*n + y*j - 95, -3*n - 2*j = 2*n - 95. Is n a prime number? True Let s(b) be the first derivative of -3*b**2 + 7*b + 6. Is s(-12) composite? False Suppose a = -5*d + 33, 0 = -4*d - 5*a - 11 + 50. Is d a composite number? True Suppose y + 61 = -d + 4*y, 3*y + 6 = 0. Is (-1)/(1/d + 0) a composite number? False Let n be (16/24)/(1/3). Suppose -y + f + 60 = 0, n + 6 = -4*f. Is y a prime number? False Suppose r + 956 = 3*m - 0*r, -5*m - 5*r + 1600 = 0. Is m prime? False Let c = 135 + 272. Is c a composite number? True Let g(r) be the second derivative of 5*r**4/12 - 7*r**2/2 + 5*r. Is g(5) a composite number? True Suppose -5*h + 0*v - 4*v = -301, 5*h - 293 = -2*v. Is h prime? False Let f(v) = 3*v**2 - 7*v - 6. Let l(z) = z - 1. Let s be l(-4). Let c be f(s). Let a = -61 + c. Is a composite? False Is ((-399)/(-9))/((-6)/(-18)) composite? True Suppose 20 = 4*m - 0*m, 5*m - 980 = -5*d. Is d a composite number? False Let r(h) = h**3 + 5*h**2 - h + 7. Let c be r(-5). Is (-113)/(-3) - 8/c a composite number? False Let s(h) = 2*h + 1. Let x be s(4). Suppose -x + 3 = 2*n. Is n - 7/((-21)/318) a composite number? False Suppose -4*u + 11820 = -2*a, 4*u + 4*a - 2937 = 3*u. Is u a prime number? True Let s(i) = 2*i**2 + 1. Let v be (-3)/(-2)*8/6. Suppose 3*l + 6 = u, -v*l + 5*l = 4*u + 3. Is s(u) composite? False Suppose -519 = -2*x + 295. Is x a composite number? True Suppose 4*a + 4*v - 40 = 0, -2*a + 20 = 4*v - 3*v. Is a a composite number? True Let b(a) = -9 - 11*a - 8*a - 11*a - 4*a. Is b(-8) a composite number? False Let p(k) = 3*k**2 - 7*k + 9. Suppose -16 = l - 3*l. Is p(l) composite? True Let o(f) = 31*f - 14. Is o(7) a prime number? False Suppose 29 = 5*k - 4*n, n + 4 - 13 = -2*k. Suppose 20 = k*v, 0 = -5*j - 6*v + 2*v - 4. Let c = j + 8. Is c a prime number? False Let p(j) = j**3 + 4*j**2 + 4*j + 2. Let v be p(-2). Let k(b) = 16*b - 1. Is k(v) prime? True Suppose -5*q + q = -120. Let g be (-9)/(-15) - 54/15. Is q/(0 + -1 - g) composite? True Suppose 4*i = i + 9. Suppose 4*q - i*u = q + 153, 205 = 5*q + 5*u. Is q composite? True Suppose 1464 = 2*d + 4*g, -2*d + 2*g - 475 = -1945. Is d a prime number? False Let m = -3 - -6. Suppose i - m*t - 5 = -6*t, 0 = 4*t - 4. Suppose 171 + 224 = 3*n - 2*g, i*g + 133 = n. Is n prime? True Let b = -403 - -857. Is b prime? False Suppose -4*m + 790 = -206. Is m composite? True Let l(m) = m**3 + 12*m**2 + 5. Let x be 168/(-32) - (-6)/(-8). Is l(x) a prime number? False Let f(n) = 4*n + 10. Let b(g) = 3*g + 10. Let m(v) = 3*b(v) - 2*f(v). Let s be m(-11). Is (22 + 1)/s*-5 a composite number? True Let f be 3 - 3/(-3) - 2. Suppose 3*m + f*k = -0*m - 148, -2*m + 5*k = 105. Is (m/(-6) + -1)*3 prime? False Let z(y) = -y**2 - 14*y - 12. Let r = 2 - 1. Let b(s) = -9*s**3. Let k be b(r). Is z(k) prime? False Let t be (-8212)/(-10)*20/8. Suppose 12 = 5*q - t. Is q composite? True Suppose 5*o = 4*z - 646, 0*z - o - 162 = -z. Let k = z + -95. Is k a prime number? False Suppose 13*p - v = 9*p + 12315, 2*v - 3081 = -p. Is p a composite number? False Suppose -4*s + 1067 = -3*s. Is s a composite number? True Let s(z) = 6*z**2 + z - 1. Suppose -f + 3 = -0*f. Suppose 5 = 2*r + f*r. Is s(r) prime? False Let b(z) = -36*z**3 + 2*z**2 - 4*z + 5. Is b(-4) composite? False Let h be (-1)/(12/(-9))*4. Let d(f) = 0*f**3 - 7*f - 3*f**3 - 6*f**2 + f**3 - h + f**3. Is d(-7) prime? False Let l be -4
{ "pile_set_name": "DM Mathematics" }
*c**4 - 13875*c**3 - 15168*c**2 + 28620*c = 0. What is c? -2, 0, 1, 53, 90 Let -2*a**4 - 724*a**3 - 66456*a**2 - 2354508*a - 29066310 = 0. Calculate a. -245, -39 What is y in -y**5 + 3304*y**4 + 6624*y**3 - 39654*y**2 - 59535*y + 89262 = 0? -3, 1, 3, 3306 Solve -196*v**4 + 45948*v**3 + 213680*v**2 + 110832*v + 15296 = 0 for v. -4, -2/7, 239 Factor -a**4 - 12*a**3 - 36*a**2 - 32*a. -a*(a + 2)**2*(a + 8) Determine j so that -3*j**2/2 - 106044*j + 212091/2 = 0. -70697, 1 What is x in -3*x**3 + 54555*x**2 - 54546*x - 109104 = 0? -1, 2, 18184 Find y, given that 2*y**4/5 + 1236*y**3/5 + 9722*y**2/5 - 4632*y + 2440 = 0. -610, -10, 1 Let -10*k**5/11 + 178*k**4/11 + 486*k**3/11 - 850*k**2/11 - 1388*k/11 - 240/11 = 0. Calculate k. -3, -1, -1/5, 2, 20 Factor 2*z**3/19 + 74*z**2/19 + 140*z/19. 2*z*(z + 2)*(z + 35)/19 Suppose -3*o**2 + 78*o - 432 = 0. What is o? 8, 18 Factor 2*t**2/3 + 36*t - 124544/3. 2*(t - 224)*(t + 278)/3 Factor 1726*p**2/5 - 17256*p/5 - 8. 2*(p - 10)*(863*p + 2)/5 What is m in -48*m**4/7 + 45116*m**3/7 - 41310*m**2/7 - 5636*m/7 + 1878/7 = 0? -1/4, 1/6, 1, 939 Find b such that -b**2/2 + 94*b - 720 = 0. 8, 180 Solve -n**4/6 - n**3/3 + 338*n**2/3 + n/3 - 225/2 = 0. -27, -1, 1, 25 Suppose 3*i**2 - 684*i + 2688 = 0. Calculate i. 4, 224 Factor 4*c**2 - 148896*c + 446652. 4*(c - 37221)*(c - 3) Determine j so that 2*j**4/3 + 14*j**3/15 - 86*j**2/15 - 42*j/5 - 12/5 = 0. -3, -1, -2/5, 3 Let 4*c**3 - 391314*c**2 - 978306*c - 391324 = 0. What is c? -2, -1/2, 97831 Factor 3*l**3/2 + 5163*l**2/2. 3*l**2*(l + 1721)/2 Suppose -m**4/5 + 158*m**3/5 + 3108*m**2/5 + 10504*m/5 + 9856/5 = 0. What is m? -14, -2, 176 Let f**3/5 + 806*f**2/5 - 807*f/5 = 0. Calculate f. -807, 0, 1 What is b in 2*b**2 + 1092*b - 6624 = 0? -552, 6 Factor 6*t**2 - 868353*t/2 - 217089/2. 3*(t - 72363)*(4*t + 1)/2 Let h**2/9 + 10006*h/9 + 199720/9 = 0. What is h? -9986, -20 Suppose -2*c**5/7 - 1892*c**4/7 + 22956*c**3/7 - 34768*c**2/7 - 38278*c + 40236 = 0. Calculate c. -958, -3, 1, 7 Find c such that -3*c**2 - 73062*c - 444837987 = 0. -12177 Factor -58*x**3 + 71984*x**2 - 22302594*x - 20053332. -2*(x - 621)**2*(29*x + 26) Find a, given that -2*a**3 - 904*a**2 - 111370*a - 2033900 = 0. -215, -22 Determine m, given that -4*m**5 - 16*m**4 + 16*m**3 + 136*m**2 + 180*m + 72 = 0. -3, -2, -1, 3 Factor 2*o**3 - 294248*o**2 + 10823324160*o - 43288588800. 2*(o - 73560)**2*(o - 4) Determine z so that 21*z**2 + 293*z + 82 = 0. -41/3, -2/7 Suppose 3*d**2 - 1923174*d + 308216519523 = 0. Calculate d. 320529 Suppose -16*p**5 + 128*p**4 - 372*p**3 + 468*p**2 - 216*p = 0. What is p? 0, 3/2, 2, 3 Factor 4*d**2 + 205528*d + 2640109924. 4*(d + 25691)**2 Suppose -15*i**4/7 - 258*i**3/7 - 516*i**2/7 + 4002*i/7 + 117 = 0. What is i? -13, -7, -1/5, 3 Solve -3*j**3 - 456*j**2 + 17196*j - 86112 = 0 for j. -184, 6, 26 Factor 2*s**2/9 + 50*s + 2200/9. 2*(s + 5)*(s + 220)/9 Find w such that -3*w**3/5 - 798*w**2/5 - 2259*w = 0. -251, -15, 0 Factor -x**3 - 298*x**2 + 301*x + 598. -(x - 2)*(x + 1)*(x + 299) Factor z**4/3 - 416*z**3/3 + 410*z**2 + 3712*z/3 + 2065/3. (z - 413)*(z - 5)*(z + 1)**2/3 Factor 2*t**2/9 + 2746*t/9 + 1520. 2*(t + 5)*(t + 1368)/9 Solve -3*x**3 + 468*x**2 - 3573*x + 3108 = 0 for x. 1, 7, 148 Find d, given that 2*d**2/3 + 228232*d/3 + 6511230728/3 = 0. -57058 Suppose -2045*h**3 - 77785*h**2 - 741095*h - 27075 = 0. Calculate h. -19, -15/409 Factor -4*i**4/3 - 12992*i**3 - 94984504*i**2/3 - 63284032*i - 94906564/3. -4*(i + 1)**2*(i + 4871)**2/3 Factor -25*l**2 - 55135*l - 121594729/4. -(10*l + 11027)**2/4 Factor -3*w**3/2 + 4993683*w**2/2 - 1039037494440*w + 1039034997600. -3*(w - 832280)**2*(w - 1)/2 Factor -5*y**4 - 780*y**3 + 785*y**2. -5*y**2*(y - 1)*(y + 157) Determine p so that p**5 + 97*p**4 + 1719*p**3 - 5749*p**2 + 5948*p - 2016 = 0. -72, -28, 1 Factor -u**2/9 - 21367*u + 384610/9. -(u - 2)*(u + 192305)/9 Suppose -28*x**4 - 496*x**3 + 1936*x**2 + 12928*x - 3840 = 0. Calculate x. -20, -4, 2/7, 6 Determine w, given that -5*w**2/2 - 35850*w - 215055/2 = 0. -14337, -3 Find y, given that -3*y**2 + 10263*y + 113256 = 0. -11, 3432 Determine i, given that i**2/3 - 16558*i/3 + 68541841/3 = 0. 8279 Let u**2 + 461*u + 28950 = 0. What is u? -386, -75 What is n in 2*n**2/7 - 702*n/7 - 121412/7 = 0? -127, 478 Determine m, given that 3*m**2 - 18261*m - 54810 = 0. -3, 6090 Solve 1323*h**5 - 8802*h**4 - 34959*h**3 + 227082*h**2 + 82476*h + 1080 = 0 for h. -5, -1/3, -2/147, 6 Suppose -3*q**5 + 63*q**4 + 768*q**3 + 1260*q**2 = 0. What is q? -7, -2, 0, 30 Let -2*k**3/3 - 148*k**2/3 + 374*k - 324 = 0. What is k? -81, 1, 6 Suppose -o**4/2 + 3*o**3 + 4151*o**2/2 - 10398*o + 8320 = 0. What is o? -64, 1, 4, 65 Factor -5*b**4 - 535165*b**3 - 14319811275*b**2 + 14320346445*b. -5*b*(b - 1)*(b + 53517)**2 Solve 5*w**3 - 30030*w**2 - 6598155*w - 356063900 = 0 for w. -107, 6220 Suppose -d**5/3 + 4*d**4 + 44*d**3 - 458*d**2/3 + 159*d - 54 = 0. What is d? -9, 1, 18 Factor 500*g**3 - 102300*g**2 + 5526045*g - 29581470. 5*(g - 6)*(10*g - 993)**2 Solve -i**5/3 - 38*i**4/3 - 39*i**3 + 632*i**2/3 - 476*i/3 = 0. -34, -7, 0, 1, 2 Factor 10*k**3 + 358*k**2 - 460*k - 592. 2*(k - 2)*(k + 37)*(5*k + 4) Find s, given that -2*s**3/11 + 32030*s**2/11 - 96076*s/11 + 64048/11 = 0. 1, 2, 16012 Suppose 3*w**3 + 35202*w**2 - 70413*w + 35208 = 0. What is w? -11736, 1 Find f such that 8*f**3 - 37364*f**2 + 2376952*f - 1179136 = 0. 1/2, 64, 4606 Factor 3*k**2/8 - 9*k/8 - 15/4. 3*(k - 5)*(k + 2)/8 Factor -2*p**3/3 - 10472*p**2/3 + 10478*p. -2*p*(p - 3)*(p + 5239)/3 Determine m so that 2*m**2 - 98*m - 8460 = 0. -45, 94 Suppose 4*x**3 + 1416*x**2 + 162288*x + 6069728 = 0. What is x? -158, -98 Find k, given that 2*k**5 - 8*k**4 - 14*k**3 + 44*k**2 + 48*k = 0. -2, -1, 0, 3, 4 Find k such that -5*k**2 + 80*k + 960 = 0. -8, 24 Solve 2*k**2/5 - 938*k - 18920 = 0. -20, 2365 Let -y**3/3 - 3284*y**2 + 6569*y - 9854/3 = 0. What is y? -9854, 1 Let -2*i**3 - 78*i**2 - 982*i - 3978 = 0. What is i? -17, -13, -9 Find k such that -2*k**4 - 74*k**3 - 226*k**2 + 1226*k - 924 = 0. -33, -7, 1, 2 Suppose -2*y**2 - 588004*y - 43218588002 = 0. What is y? -147001 Factor -r**3/2 + 7259*r**2/2 - 29015*r/2 - 36275/2. -(r - 7255)*(r - 5)*(r + 1)/2 What is t in -32*t**5/17 - 5680*t**4/17 - 142738*t**3/17 - 450848*t**2/17 - 444936*t/17 - 138528/17 = 0? -148, -26, -2, -3/4 Solve -2*x**5/11 + 186*x**4/11 + 1602*x**3/11 + 1558*x**2/11 - 1296*x - 29088/11 = 0 for x. -4, -3, 3, 101 Find l such that 2*l**3/3 + 476*l**2/3 + 27824*l/3 + 17920 = 0. -140, -96, -2 Factor -2*o**4 + 1770*o**3 + 10668*o**2 + 21368*o + 14256. -2*(o - 891)*(o + 2)**3 Factor -3*z**3 - 1674*z**2 - 13221*z - 11550. -3*(z + 1)*(z + 7)*(z + 550) Solve -9*v**5/2 - 3*v**4/2 + 12293*v**3/2 + 187051*v**2/2 + 116508*v + 37926 = 0. -21, -2/3, 43 Factor -h**3/3 + 241*h**2 - 47880*h + 1520532. -(h - 342)**2*(h - 39)/3 Factor h**3/3 - 1112*h**2/3 - 2611*h. h*(h - 1119)*(h + 7)/3 Suppose 3*o**3 - 13182*o**2 + 14506755*o - 57816300 = 0. What is o? 4, 2195 Factor -4*t**3 + 1700*t**2 + 36*t - 15300. -4*(t - 425)*(t - 3)*(t + 3) Factor m**4 - 391*m**3 - 393*m**2 + 391*m + 392. (m - 392)*(m - 1)*(m + 1)**2 Factor m**4/4 + 31*m**3/4 + 55*m**2 - 63*m. m*(m - 1)*(m + 14)*(m + 18)/4 Factor -5*y**2 + 113480*y + 454000. -5*(y - 22700)*(y + 4) Suppose -2*c**3 - 7724*c**2 - 69282*c + 277416 = 0. Calculate c. -3853, -12, 3 Factor m**2/2 + 287229*m/2 + 143614. (m + 1)*(m + 287228)/2 What is g in -5*g**5 - 45*g**4 + 715*g**3 + 345*g**2 - 4490*g - 4080 = 0? -17, -2, -1, 3, 8 Factor 18*f**5 + 7716*f**4 + 821738*f**3 - 1105960*f**2 + 369800*f. 2*f*(f + 215)**2*(3*f - 2)**2 Factor 54675*r**4/7 - 143370*r**3/7 + 90747*r**2/7 + 4248*r/7 + 48/7. 3*(3*r - 4)**2*(45*r + 1)**2/7 Find n such that 4*n**4 - 4720*n**3 + 14124*n**2 = 0. 0, 3, 1177 Solve f**4 + 505*f**3 - 6686*f**2 + 24828*f - 18648 = 0. -518, 1, 6 Let 2*t**4/11 + 130*t**3/11 + 1366*t**2/11 - 3130*t/11 + 1632/11 = 0. Calculate t. -51, -16, 1 Factor 3*f**2 + 1005*f - 7182. 3*(f - 7)*(f + 342) What is q in -2*q**2/19 + 6436*q/19 - 6434/19 = 0? 1, 3217 Factor -5*w**4 + 38*w**3 - 49*w**2 - 92*w. -w*(w - 4)*(w + 1)*(5*w - 23) Let -4*t**4 + 60*t**3 - 68*t**2 - 1692*t + 3240 = 0. What is t? -5, 2, 9 Suppose b**5/3 - b**4/3 - 11*b**3/3 + 3*b**2 + 6*b = 0. What is b? -3, -1, 0, 2, 3 Sol
{ "pile_set_name": "DM Mathematics" }
hout replacement from {e: 2, x: 1, z: 1, t: 3, m: 4}? 1/55 Calculate prob of picking 1 s, 1 l, and 2 e when four letters picked without replacement from ulelieiiisief. 6/715 Four letters picked without replacement from {y: 6, c: 6}. Give prob of picking 4 c. 1/33 What is prob of picking 4 t when four letters picked without replacement from ttttt? 1 Two letters picked without replacement from {g: 2, j: 2, c: 1}. What is prob of picking 1 j and 1 g? 2/5 What is prob of picking 3 t and 1 i when four letters picked without replacement from {t: 4, i: 8, r: 2, w: 2}? 8/455 What is prob of picking 1 o, 1 p, and 2 x when four letters picked without replacement from {k: 3, l: 3, g: 1, o: 3, x: 2, p: 2}? 6/1001 Three letters picked without replacement from {t: 1, h: 2, a: 1, b: 4, s: 2}. What is prob of picking 1 h, 1 a, and 1 s? 1/30 Four letters picked without replacement from {r: 2, t: 2, m: 1, v: 3, a: 1, w: 3}. Give prob of picking 1 t and 3 v. 2/495 What is prob of picking 2 u when two letters picked without replacement from pvpuupp? 1/21 Calculate prob of picking 1 p, 1 h, and 1 c when three letters picked without replacement from jhpjmmcjijpmmi. 1/182 Calculate prob of picking 1 y and 3 p when four letters picked without replacement from wwaaaaawapppay. 1/1001 What is prob of picking 4 g when four letters picked without replacement from {g: 3, v: 4, e: 6, a: 1}? 0 Two letters picked without replacement from {i: 1, t: 4, q: 3, b: 5}. Give prob of picking 1 q and 1 t. 2/13 What is prob of picking 1 f, 1 w, and 1 p when three letters picked without replacement from {n: 1, f: 1, p: 2, w: 3}? 6/35 Calculate prob of picking 1 x and 2 d when three letters picked without replacement from wyxpkkkydxxdy. 3/286 Four letters picked without replacement from {b: 4, x: 2, u: 2, t: 4}. What is prob of picking 1 u and 3 b? 8/495 Calculate prob of picking 1 b, 1 h, and 1 k when three letters picked without replacement from bkkkh. 3/10 Three letters picked without replacement from tdjdeljeejtjjldj. Give prob of picking 1 t and 2 l. 1/280 Three letters picked without replacement from nnhhhhnnnnhhhn. What is prob of picking 1 n and 2 h? 21/52 Three letters picked without replacement from kfkfffffffkfff. Give prob of picking 3 k. 1/364 What is prob of picking 4 j when four letters picked without replacement from jjjjjjj? 1 What is prob of picking 2 w and 2 b when four letters picked without replacement from blwllalbllwl? 1/495 What is prob of picking 1 q and 1 u when two letters picked without replacement from sqgqyusyqyqquyq? 4/35 Calculate prob of picking 4 t when four letters picked without replacement from {t: 5}. 1 Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {b: 7, f: 1, e: 5, q: 1, v: 2}. 7/60 What is prob of picking 1 a and 2 t when three letters picked without replacement from {b: 2, a: 10, t: 3, h: 4}? 10/323 Four letters picked without replacement from {u: 2, p: 7, j: 2}. What is prob of picking 2 j and 2 p? 7/110 Three letters picked without replacement from miiimmiirmmmm. Give prob of picking 3 m. 35/286 Two letters picked without replacement from {v: 2, u: 2, o: 4, y: 2}. What is prob of picking 1 y and 1 v? 4/45 Two letters picked without replacement from ccjcggccgcccccjccccc. What is prob of picking 2 g? 3/190 What is prob of picking 2 g when two letters picked without replacement from {g: 3}? 1 Calculate prob of picking 2 i when two letters picked without replacement from lilllillllll. 1/66 Three letters picked without replacement from vkrkdjvdkakdk. Give prob of picking 2 j and 1 r. 0 Calculate prob of picking 3 j when three letters picked without replacement from {j: 9}. 1 Two letters picked without replacement from {x: 1, c: 5, q: 2, a: 9, s: 1}. Give prob of picking 1 a and 1 x. 1/17 What is prob of picking 2 f and 2 u when four letters picked without replacement from {f: 2, o: 3, u: 3, r: 5}? 3/715 Four letters picked without replacement from vvyyvvvvyv. Give prob of picking 1 v and 3 y. 1/30 Calculate prob of picking 1 j and 2 z when three letters picked without replacement from {z: 7, j: 12}. 84/323 Two letters picked without replacement from {c: 1, p: 2, y: 2}. What is prob of picking 1 y and 1 c? 1/5 Four letters picked without replacement from {u: 6, n: 2}. Give prob of picking 2 u and 2 n. 3/14 What is prob of picking 4 l when four letters picked without replacement from {d: 4, l: 4, e: 1, v: 1}? 1/210 Two letters picked without replacement from {x: 3, e: 1, h: 6, o: 2, c: 1, g: 2}. What is prob of picking 1 x and 1 h? 6/35 Three letters picked without replacement from {k: 1, v: 1, y: 10, a: 3, x: 2}. Give prob of picking 1 v, 1 x, and 1 a. 3/340 Three letters picked without replacement from ppppp. What is prob of picking 3 p? 1 Three letters picked without replacement from {u: 2, b: 2, c: 1, w: 6}. Give prob of picking 1 u, 1 b, and 1 c. 4/165 Two letters picked without replacement from {x: 1, q: 1, o: 2, j: 4}. What is prob of picking 1 j and 1 x? 1/7 Three letters picked without replacement from cwrrnven. Give prob of picking 1 v and 2 n. 1/56 What is prob of picking 3 u when three letters picked without replacement from ntnfut? 0 Calculate prob of picking 2 j, 1 w, and 1 p when four letters picked without replacement from {j: 2, w: 4, p: 3, i: 3, f: 4}. 3/455 What is prob of picking 1 t, 1 l, and 2 d when four letters picked without replacement from {t: 1, d: 3, l: 5, u: 1, s: 2, c: 3}? 1/91 Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, x: 2}. 1/10 Three letters picked without replacement from {t: 1, l: 6, c: 4}. What is prob of picking 1 l and 2 c? 12/55 Four letters picked without replacement from xwwxxttt. What is prob of picking 2 t and 2 w? 3/70 Calculate prob of picking 1 m and 1 q when two letters picked without replacement from mmq. 2/3 Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 2, w: 3, o: 3, b: 1, h: 1}. 1/120 Four letters picked without replacement from {v: 4, c: 2, m: 2}. What is prob of picking 1 v, 2 m, and 1 c? 4/35 Calculate prob of picking 2 y when two letters picked without replacement from {b: 18, y: 2}. 1/190 Four letters picked without replacement from ytyhtyshssthhhssdh. Give prob of picking 1 d and 3 y. 1/3060 What is prob of picking 4 j when four letters picked without replacement from {j: 10}? 1 Three letters picked without replacement from {z: 3, e: 2, r: 5, m: 5}. Give prob of picking 2 r and 1 m. 10/91 What is prob of picking 4 l when four letters picked without replacement from slssllsslslss? 1/143 Calculate prob of picking 2 t and 2 z when four letters picked without replacement from gtztz. 1/5 What is prob of picking 1 e and 1 c when two letters picked without replacement from yceceececcemmeem? 7/24 Calculate prob of picking 1 y, 1 b, and 2 m when four letters picked without replacement from yymmybyyymybbbyy. 27/455 Calculate prob of picking 1 e and 2 h when three letters picked without replacement from yyuuyhhyyyueyyyy. 1/560 What is prob of picking 1 u and 1 f when two letters picked without replacement from gfuuuubgfg? 8/45 Calculate prob of picking 1 w and 2 x when three letters picked without replacement from xxwwfwwwwxxlfxxxxxf. 72/323 Four letters picked without replacement from {o: 3, a: 3, f: 3, p: 4}. Give prob of picking 1 p, 1 a, and 2 f. 36/715 What is prob of picking 1 p and 1 g when two letters picked without replacement from actcpgtfffftf? 1/78 What is prob of picking 1 x and 1 n when two letters picked without replacement from {w: 1, s: 2, q: 1, n: 2, x: 4}? 8/45 What is prob of picking 3 p when three letters picked without replacement from {g: 2, p: 11}? 15/26 What is prob of picking 1 h and 1 o when two letters picked without replacement from gggohgoggoggo? 2/39 What is prob of picking 1 q and 2 p when three letters picked without replacement from {p: 4, q: 6}? 3/10 Three letters picked without replacement from ggggghaaggaagaggg. What is prob of picking 1 h, 1 a, and 1 g? 11/136 What is prob of picking 1 t, 1 s, 1 d, and 1 c when four letters picked without replacement from {q: 1, s: 2, d: 1, n: 4, t: 4, c: 2}? 16/1001 Two letters picked without repl
{ "pile_set_name": "DM Mathematics" }
- 0 - 0) + 5/(-15)? 2/3 Evaluate (-1 - 0) + (3 - 3) + 6. 5 What is the value of ((-9)/(-6))/((-8)/(-16))? 3 Calculate 46/42 - (13 + -12). 2/21 What is ((-1)/3)/(13/(-195))? 5 Evaluate 10 + 136/(-14) - 0. 2/7 What is 8 + -11 - (-9)/4? -3/4 (8/(-24)*3)/7 -1/7 Evaluate 2/(-2) - (-11)/((-33)/(-12)). 3 What is (-2)/(8/6)*6/(-72)? 1/8 Evaluate 71/(-119) + (-12)/102. -5/7 Evaluate 0 + (-10 - (1 + -2)) + 4. -5 What is (-24)/(-36)*9/(-42)? -1/7 Evaluate (-153)/24 - (10 + -16)*1. -3/8 Calculate (4 - 2) + 2/(40/(-45)). -1/4 Evaluate -46 + 31 - (2 - 11). -6 Calculate ((-164)/(-287))/(3/(42/(-4))). -2 What is the value of 4*(103/(-34) - -3)? -2/17 (-8 + (3 - 0))*(-2)/45 2/9 Calculate -42*66/(-540) - 4/30. 5 Calculate (-8)/(-44) + (-35)/11 - 0. -3 What is (2/(-14))/(340/595)? -1/4 Calculate 5 - ((-99)/36 + 7). 3/4 What is ((-171)/54 + 3)*-1? 1/6 What is the value of (-244)/(-378) + 84/(-1134)? 4/7 Calculate (-8)/(-10)*(-4 - -2 - 3). -4 What is the value of -2*(-1 - (-1 + 2))? 4 What is 14/(-21) - ((-30)/(-9) + -3)? -1 What is the value of (-1)/(-1)*-1 + 1 + 1? 1 Calculate (-14)/168 + (-22)/24. -1 What is ((-64)/480)/(3/5)? -2/9 Calculate (-114)/6 + 8 + 5. -6 -7 + 3/(1 + 18/(-30)) 1/2 Evaluate 24/(-28) + 14 + -13. 1/7 What is the value of (3/15)/((-165)/50 - -3)? -2/3 What is (2 + 38/(-18))/(2/(-6))? 1/3 What is the value of -3 + 2 - (7 + -12)? 4 What is the value of -20 + 11 + (576/8)/8? 0 (-7 - -4) + 5/(10/8) 1 Evaluate -6 + 7 - 1 - 2/(-8). 1/4 Evaluate (14 - 17) + 2 + -1. -2 What is ((-21)/12)/7*-12? 3 Calculate 3/30 - (-1)/2. 3/5 ((-615)/82)/(5/(-4)) 6 ((-57)/(-76))/(30/8) 1/5 What is the value of (1 - (-35)/28)/(-6)? -3/8 Calculate (-2)/(-4)*(-22 + 23). 1/2 Calculate (-21)/(-55) + (-120)/660. 1/5 What is the value of (-12)/(-8)*(320/45)/8? 4/3 Calculate (-4)/6*(3 + (-72)/21). 2/7 What is 3/2*4/15? 2/5 What is the value of ((-1)/((-7)/(-2)))/(30/42)? -2/5 What is the value of (4/72)/(1/4)? 2/9 (-170)/(-68)*2/5 1 Evaluate (8/(-2) + -2)/(-2 - 0). 3 What is the value of (2 + -3)*(-3 - -7)? -4 ((4 + -3)*1)/(-1) -1 4 - 5 - (-6)/(-2) -4 What is (3/12)/(3/(-4))*4? -4/3 (-23)/(-18) - (-2 - (-80)/45) 3/2 (3/(-9))/((-1)/6) 2 Evaluate -2*2/(-6)*(22 - 20). 4/3 What is (10/(-15) - -4)*(-6)/(-4)? 5 What is the value of (1 - 1) + (-3)/(-3) + -7? -6 What is (170/102)/(5/6)? 2 Evaluate 3 + 0/((-10)/(-5)). 3 Calculate (-10)/(70/(-3)) + 45/140. 3/4 (-28)/42*-2*6/4 2 Calculate 6/(-9)*(-15)/(-10). -1 What is the value of (-175)/21 - -8 - (3 + -4)? 2/3 What is ((-2)/8)/((-52)/1456)? 7 ((-5)/50)/((-10)/(-40)) -2/5 (-45)/(-63)*1*(-6)/(-15) 2/7 (7/21*3)/(-1*6) -1/6 (0/2)/((-78)/(-39)) - 7 -7 Evaluate (-77)/42 - (1 + (-15)/18). -2 What is the value of 1 - (-12 - (-24)/4)? 7 What is the value of 11/6 + (-52)/39? 1/2 Calculate 24/(-60) - (-84)/285. -2/19 (8/(-48))/((-12)/120) 5/3 Evaluate (-360)/(-270)*(-30)/(-4). 10 Evaluate (-16)/48 + 1/3. 0 What is the value of 15/(5 + 0) + -5? -2 Calculate 3/(-42)*20/5. -2/7 What is 94/(-18) + (-354)/(-1593)? -5 (9 - -4 - 10) + -1 2 Calculate 2 + 1/(21/6)*14. 6 Evaluate (-1)/(16 + 2) + (-8)/(-36). 1/6 What is the value of (2 + 5/(-10))/(1/2)? 3 -2 + 3/2 + (-48)/(-288) -1/3 What is -16 + 6 + 7 + 2? -1 Calculate 3 + -2 + 25/(-10). -3/2 What is the value of (-2 + (-50)/(-24))/((-13)/26)? -1/6 ((-2)/(-44))/(4/66*3) 1/4 What is the value of 5/10*(-85)/34? -5/4 Calculate 2*(-9)/21*2/4. -3/7 Calculate (4/9)/(13/234). 8 What is ((-15)/(-2))/((-27)/(-18))? 5 (12/3)/(-24)*0 0 Calculate ((-2)/6)/(8/32*1). -4/3 What is the value of 21/(-12) + (-3 - 36/(-8))? -1/4 What is 7/(-9)*(16 + (-2596)/154)? 2/3 What is 34/51 - 110/(-15)? 8 Calculate 1/(-45) + 16/(-720)*9. -2/9 Evaluate 27/(-12) + (-12)/(-13 - -7). -1/4 What is (1856/(-348))/((-4)/(-6))? -8 Calculate (-2)/5 - (-177)/30 - 5. 1/2 Calculate 1 + (5 - 8)*(-2)/(-3). -1 What is the value of (-34)/(-7) + (-4)/14 - 5? -3/7 Evaluate (-6)/2 + (6 - 0) + -4. -1 Calculate -136 - -155 - 26/2. 6 Calculate (-5 + 17/3)*-9. -6 Evaluate 2 - -1 - -5 - 6. 2 (-12)/(-10)*(-260)/(-858) 4/11 Calculate 8/52 - (-1040)/(-169). -6 What is the value of (-14)/(-10) + 1*21/(-14)? -1/10 What is 3/((-144)/(-4))*-3? -1/4 What is the value of 28/(-126) - 40/(-18)? 2 (-5 + 9)*(-2 + 1) -4 Evaluate (2/(-10))/(228/(-5700)). 5 Evaluate (-4)/3 + 1 - (9 + -9). -1/3 What is the value of (-44)/(-66) + 14/6 + -1? 2 What is the value of 22/55*5/6? 1/3 ((-3)/3 - -1)/(0 + 2) 0 Evaluate (-3 - 2) + 27/(-10)*-2. 2/5 What is 2 + (-3)/(-6) - 11/2? -3 What is (-1)/(5/(-3) - (8 + -12))? -3/7 What is the value of (3 + 12/(-6))*7? 7 Evaluate (4 - (-2 + 1))*1. 5 What is the value of (-4)/(-600)*5*-3? -1/10 Calculate (15/(-6))/((-13)/(-26)). -5 What is 9/30*12/9? 2/5 What is (4*42/280)/((-3)/(-4))? 4/5 Evaluate 12*((-160)/(-15))/16. 8 2 + (-1 - (2 - 4)) 3 What is (-21)/70*(-5)/1? 3/2 (-1)/5*(-70)/42 1/3 What is the value of 56/(-14)*28/16? -7 What is ((-4)/12)/((-3)/27)? 3 Evaluate (-558)/(-126) + (-12)/(-21). 5 What is the value of 60/(-40)*(-4)/(-2)? -3 Evaluate 64/(-1584) - 4/(-18). 2/11 ((-28)/42)/(2*(-1)/3) 1 (-3 - 16/(-6))/(2/12) -2 What is (-37)/((-222)/(-12)) + 5/3? -1/3 What is the value of (-1 - (-96)/15) + 2/(-5)? 5 What is the value of ((-22)/66)/((-2)/6)? 1 Evaluate (45/60)/((-1)/16*-2). 6 Calculate 2/(-18)*(-1 + 10/(-2)). 2/3 Evaluate 3/(-75)*(11 - 6). -1/5 Calculate 1 + -4 + 12/(5 + -1). 0 What is the value of 16/(-28) + 104/182? 0 Evaluate 2 + 3*40/(-66). 2/11 Evaluate 1 + (1 - -2) - 493/119. -1/7 (20/450)/(5/(-30)*2) -2/15 (-4 + (-84)/(-18))/((-1)/3) -2 What is the value of (21/(-28))/(81/144)? -4/3 (-147)/(-105) - (2 + 0) -3/5 ((-9)/297)/(-3 + (-52)/(-18)) 3/11 What is the value of (40/(-720))/(-3*(-2)/24)? -2/9 What is (-216)/(-36) - (0 + 1)? 5 Calculate 8 - 30/5*1/2. 5 (-1 - (-1)/5)/((-7)/35) 4 9 + -12 + 12/(-12) -4 Calculate (14/(-7) - -6)/(18/3). 2/3 (-9)/(-18)*-2*5 -5 What is the value of ((-23)/5 - -4)/((-12)/40)? 2 What is the value of (-4 + 35/10)*(-4)/7? 2/7 (-12 + 10 - -2)/(-1 + 3) 0 Evaluate -2*1 + 13 + -9. 2 Evaluate -2*((-45)/10)/(-1). -9 Calculate ((-12)/14)/(-1) + (-435)/(-203). 3 22/(-33)*((-18)/8)/(-3) -1/2 What is (9/63)/((-3)/(-42))? 2 Calculate 154/(-792) + 3 + 70/(-24). -1/9 What is 2/(98/(-21))*(-3)/(-3)? -3/7 Calculate (-10)/3*(-6)/(-5). -4 What is ((-45)/(-225))/(2/45)*-2? -9 Evaluate 16/(-6) + (-3204)/(-1242). -2/23 0 + -5 + (-323)/(-51) 4/3 Calculate 75/30 + (-54)/20. -1/5 What is ((-7)/(-1))/(-1) + 4615/715? -6/11 What is the value of (-21)/18 - (-2 + 1)? -1/6 Calculate -17 - -3 - (-11 - -1). -4 Evaluate 17/(-4) + 3/12. -4 Calculate (-16)/20*(-40)/112. 2/7 What is the value of (-2 + 1)/(-3 - -2)*-1? -1 What is the value of (303/3131)/(6/4)? 2/31 Calculate (2/(-2) - 28/(-14)) + -5. -4 Evaluate ((-2)/80)/(-7*(-6)/105). -1/16 What is 3/(-10)*-4*67/134? 3/5 Calculate (-9 + -5 + 14)/5. 0 Evaluate (-4)/(-20)*10/3. 2/3 What is the value of ((-1)/(-14))/(194/(-24) - -8)? -6/7 Calculate ((-6)/(-4))/((-45)/60). -2 (-3)/(-2)*(-10)/6*2 -5 Calculate 5/2*32/20. 4 What is ((-5)/10*3 - -1)*0? 0 Evaluate 378/70 - 18/(-30). 6 Calculate (-84)/(-16)*(-18)/(-63). 3/2 What is ((-7)/42)/(5/10)? -1/3 (-273)/182 - ((-18)/4 - 0) 3 What is the value of (-10)/4 - 1062/236? -7 ((-8 - -10) + -6)*1 -4 (-4)/6 + (-22)/(-24) 1/4 Evaluate (-540)/(-75) + -8 - 34/(-5). 6 What is ((-3)/(-87))/(2 - (-10)/(-4))? -2/29 Calculate 1 + -1 - 1/(9 - 3). -1/6 Calculate -4*(3 - 220/72). 2/9 What is (-16)/(-28) + (-1590)/210? -7 Evaluate (1/(-2))/(2*40/32). -1/5 Evaluate (-2)/8 + 132/16 - 4. 4 2 + ((-6 - 0) + 0)/(-2) 5 What is 0/(-5 - (-4)/2)? 0 What is the value of (-1)/(-3) - (4 + 14/(-3))? 1 What is the value of 188/(-141)*(-9)/2? 6 Calculate 22/6 - (2 - -2). -1/3 What is 4 - 90/(-24) - 7? 3/4 What is (6/60*-5)/((-6)/72)? 6 What is the value of ((-27)/6)/(12/8)? -3 Calculate (3 - 30/5)*-1. 3 6/(-57) - ((-60)/95)/6 0 What is 34/(-340) + 81/10? 8 Calculate -1*(-6)/45 + 232/60. 4 Evaluate (-1240)/240 - (-10)/2. -1/6 Calculate 6 - 9 - (11 - 7). -7 Calculate (-5)/(-2)*(88/(-11))/(-40). 1/2 What is 69/46*(-4)/3? -2 1/((4/(-3))/4) -3 3 + (6/5)/(3/(-25)) -7 Evaluate 1/(-21)*4/2. -2/21 Evaluate 19/(-38) - (-1)/6. -1/3 What is (-190)/40 - 5/(4 + -5)? 1/4 What is 1/(3/1 - (-56)/(-20))? 5 What is 21/(-35)*4/3? -4/5 What is (-324)/(-96) + 3/(-8)? 3 What is the value o
{ "pile_set_name": "DM Mathematics" }
without replacement from aaarccrccyygsrycyc? 15/272 Three letters picked without replacement from jjrrrjygooorryoj. What is prob of picking 1 j, 1 r, and 1 g? 1/28 Three letters picked without replacement from errriiilerm. Give prob of picking 1 r, 1 m, and 1 e. 8/165 Two letters picked without replacement from {o: 5, n: 3, z: 1, q: 2, r: 5}. Give prob of picking 1 o and 1 q. 1/12 Calculate prob of picking 1 k and 3 c when four letters picked without replacement from cnnksxkkcnxnck. 4/1001 Four letters picked without replacement from {h: 6, e: 3, q: 6}. Give prob of picking 4 q. 1/91 Four letters picked without replacement from {q: 3, k: 4, f: 1, h: 1, d: 2}. What is prob of picking 1 d, 1 k, and 2 q? 4/55 Four letters picked without replacement from pazaassnznhazza. What is prob of picking 1 h, 1 p, and 2 z? 2/455 Four letters picked without replacement from nvnvqvvvnnvnqvqvn. What is prob of picking 3 n and 1 q? 3/119 Three letters picked without replacement from {j: 2, s: 1, x: 3, i: 2, m: 4}. Give prob of picking 1 j and 2 x. 3/110 Calculate prob of picking 2 t, 1 v, and 1 d when four letters picked without replacement from {v: 4, t: 3, d: 2}. 4/21 Calculate prob of picking 2 q when two letters picked without replacement from {g: 1, q: 11}. 5/6 Four letters picked without replacement from {q: 2, m: 1, y: 1, a: 1, h: 1, d: 2}. What is prob of picking 1 y, 2 d, and 1 h? 1/70 Four letters picked without replacement from {f: 4, x: 2, i: 1}. Give prob of picking 4 i. 0 Calculate prob of picking 2 z and 1 s when three letters picked without replacement from szztszsz. 9/28 Three letters picked without replacement from rdrdddddddrddd. Give prob of picking 3 d. 165/364 Two letters picked without replacement from thzshrvhvrrt. What is prob of picking 2 h? 1/22 Three letters picked without replacement from {u: 6, i: 4}. What is prob of picking 3 i? 1/30 Three letters picked without replacement from vhhvqwhvwqv. What is prob of picking 1 v and 2 h? 4/55 Two letters picked without replacement from {w: 5, m: 14}. Give prob of picking 2 m. 91/171 Two letters picked without replacement from bvyvb. Give prob of picking 2 b. 1/10 Four letters picked without replacement from {q: 1, a: 1, e: 2, k: 1, n: 2}. Give prob of picking 1 a, 1 n, and 2 e. 2/35 Calculate prob of picking 2 t when two letters picked without replacement from {j: 5, t: 3}. 3/28 Two letters picked without replacement from {k: 1, n: 2}. Give prob of picking 1 k and 1 n. 2/3 Three letters picked without replacement from cnnnnnnnnnnn. What is prob of picking 2 n and 1 c? 1/4 Three letters picked without replacement from {b: 1, k: 4, m: 3, r: 2, i: 2}. Give prob of picking 1 b, 1 k, and 1 m. 3/55 What is prob of picking 2 t when two letters picked without replacement from tlttttttttttlltltt? 91/153 Calculate prob of picking 3 q when three letters picked without replacement from {v: 13, q: 5}. 5/408 Calculate prob of picking 2 p when two letters picked without replacement from {p: 9, o: 5}. 36/91 Three letters picked without replacement from {m: 3, g: 4}. What is prob of picking 3 g? 4/35 Two letters picked without replacement from kddhzakada. Give prob of picking 2 d. 1/15 Calculate prob of picking 3 e when three letters picked without replacement from eeeeeebeeeebe. 15/26 Three letters picked without replacement from spsypsj. Give prob of picking 1 j, 1 y, and 1 s. 3/35 Two letters picked without replacement from pspqqppqqqp. Give prob of picking 1 s and 1 p. 1/11 Three letters picked without replacement from {l: 2, b: 4, j: 1}. Give prob of picking 1 b, 1 l, and 1 j. 8/35 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 6, i: 4, b: 7}. 21/68 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from gddgddgxggggd. 5/78 What is prob of picking 2 k and 2 c when four letters picked without replacement from bjkcjmdkc? 1/126 Calculate prob of picking 1 g, 1 u, and 2 t when four letters picked without replacement from ppgputxttnnt. 2/165 Three letters picked without replacement from {x: 2, e: 9, c: 2}. What is prob of picking 1 e and 2 c? 9/286 Four letters picked without replacement from {r: 11, q: 1, o: 2, u: 2}. Give prob of picking 2 u and 2 o. 1/1820 Calculate prob of picking 2 l and 1 x when three letters picked without replacement from xllxlxlxlxlx. 9/22 Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {p: 5, y: 3, j: 4}. 2/33 Four letters picked without replacement from {c: 3, a: 15}. What is prob of picking 3 a and 1 c? 91/204 Calculate prob of picking 3 r when three letters picked without replacement from rrrrrhrh. 5/14 Three letters picked without replacement from uufvwuqfufau. Give prob of picking 2 u and 1 w. 1/22 Four letters picked without replacement from {y: 3, m: 4, o: 11}. What is prob of picking 4 o? 11/102 Four letters picked without replacement from {f: 3, h: 2, z: 4, m: 6}. What is prob of picking 2 z and 2 f? 6/455 Four letters picked without replacement from {z: 1, r: 4, a: 5, p: 1, b: 5}. Give prob of picking 2 a and 2 r. 3/91 Calculate prob of picking 2 h and 2 a when four letters picked without replacement from {a: 2, h: 6}. 3/14 Three letters picked without replacement from {z: 7, h: 1, p: 2, a: 2, v: 1, k: 1}. What is prob of picking 1 v and 2 a? 1/364 Calculate prob of picking 3 n when three letters picked without replacement from nnnn. 1 What is prob of picking 2 p when two letters picked without replacement from olopopplyoyop? 1/13 What is prob of picking 1 g, 1 t, and 1 l when three letters picked without replacement from {g: 3, t: 1, l: 11}? 33/455 What is prob of picking 1 g and 1 x when two letters picked without replacement from ujuvuuxg? 1/28 Two letters picked without replacement from {w: 2, g: 16}. What is prob of picking 1 g and 1 w? 32/153 Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, a: 6, q: 5}. 2/35 Calculate prob of picking 2 m when two letters picked without replacement from {g: 3, f: 2, m: 2, h: 3, v: 10}. 1/190 Two letters picked without replacement from {o: 4, v: 2}. Give prob of picking 2 o. 2/5 Calculate prob of picking 2 b when two letters picked without replacement from dbbbbbbdbbbbbbbbbb. 40/51 Three letters picked without replacement from sszazsszznqis. Give prob of picking 1 q and 2 z. 3/143 Four letters picked without replacement from wfkkfkkkp. Give prob of picking 3 p and 1 k. 0 What is prob of picking 1 e and 1 a when two letters picked without replacement from befbofwwawf? 1/55 Calculate prob of picking 2 m and 1 u when three letters picked without replacement from {m: 2, a: 5, u: 3}. 1/40 Two letters picked without replacement from {c: 3, n: 13}. What is prob of picking 2 c? 1/40 Four letters picked without replacement from eedgqtgzzdddzz. Give prob of picking 1 g, 2 z, and 1 e. 24/1001 What is prob of picking 2 z when two letters picked without replacement from {z: 11, j: 1}? 5/6 Three letters picked without replacement from {n: 1, a: 1, d: 2, c: 1}. What is prob of picking 1 d, 1 a, and 1 n? 1/5 What is prob of picking 1 v, 1 q, and 1 k when three letters picked without replacement from {k: 7, q: 3, v: 9}? 63/323 What is prob of picking 3 c and 1 t when four letters picked without replacement from {y: 4, c: 4, p: 7, u: 1, t: 3}? 1/323 Calculate prob of picking 1 w and 1 q when two letters picked without replacement from owqxgfx. 1/21 What is prob of picking 1 f and 3 q when four letters picked without replacement from fqqqqqqfqq? 8/15 Two letters picked without replacement from wrojro. What is prob of picking 1 o and 1 r? 4/15 What is prob of picking 2 v and 2 w when four letters picked without replacement from {v: 4, w: 6}? 3/7 Three letters picked without replacement from {c: 3, f: 3, b: 1, r: 2, y: 2, a: 7}. Give prob of picking 1 a and 2 r. 7/816 What is prob of picking 1 e and 1 s when two letters picked without replacement from bsseb? 1/5 Four letters picked without replacement from {b: 1, h: 1, n: 2, f: 1, w: 1, c: 1}. What is prob of picking 1 b, 2 c, and 1 h? 0 Three letters picked without replacement from {b: 1, h: 1, p: 3, j: 1, c: 1}. Give prob of picking 2 p and 1 h. 3/
{ "pile_set_name": "DM Mathematics" }
-20. Let a be (-3)/r + (-110)/(-6). Suppose 2 = -2*o + a. What is the highest common divisor of 64 and o? 8 Suppose t = -t + 52. Let b = -14 - -8. Let r = b + t. Calculate the highest common factor of r and 5. 5 Let q be 2 - (-1 + -2 + -1). Suppose -n - 2*n = -q. Suppose -16 - n = -2*u. What is the highest common factor of u and 81? 9 Let x(j) = -5*j + 7. Let y be x(-6). Suppose -5*d - 2 = -y. Suppose -a + 15 = -2*k - 6, -5*a + 105 = 2*k. Calculate the highest common factor of d and a. 7 Let n = 5 - -10. Suppose -5*i - 2*s = -s - 182, -120 = -3*i + 3*s. Let u = i - -8. What is the greatest common factor of n and u? 15 Let v(c) = 4*c**2 + 1. Let u be v(-1). Suppose -2*k = -u*k - 99. Let w = -21 - k. Calculate the greatest common factor of 84 and w. 12 Let v = -5 + 7. Calculate the highest common divisor of v and 2. 2 Let g(i) = -13*i + 4. Let w(h) = -7*h + 2. Let p(c) = -6*g(c) + 11*w(c). Let y be p(3). What is the highest common divisor of y and 9? 1 Suppose -3*u = -7*u + 56. What is the highest common factor of u and 21? 7 Suppose 3*g + 0 = 27. Calculate the highest common factor of 3 and g. 3 Suppose 2*u = 10 + 6. Let a = 77 + -42. Suppose 5*v - 5*m = a, -3*v + 4 = -4*m - 12. What is the greatest common factor of v and u? 4 Let s = 3 - 1. Suppose 5*l = s*l + 57. Let o be (3/(-1))/(9/(-456)). What is the highest common factor of o and l? 19 Suppose 5*m + 13 = 38. Calculate the greatest common factor of 20 and m. 5 Let u be (-15)/(-6)*2/1. Let x be (4/3)/(3/45). Calculate the greatest common factor of u and x. 5 Let z(n) = 12*n**2 + 5*n - 3. Let d be z(3). What is the highest common divisor of d and 30? 30 Let k = -76 - -39. Let i = 102 + k. Calculate the greatest common factor of 13 and i. 13 Let a(g) = -g**3 - 6*g**2 - 9*g - 3. Let l be a(-5). What is the greatest common factor of 17 and l? 17 Suppose -x = -17 - 1. Calculate the greatest common factor of x and 9. 9 Let x be 6/(-15) + 98/(-5). Let f be (-2)/3 - x/3. Let t be 18/(-30)*(-30)/9. Calculate the highest common factor of t and f. 2 Suppose 5*i = s + 122, 5*s = -i - 3*i + 86. Suppose -5*y - 35 = -4*q + 3*q, 25 = 5*y. Calculate the highest common factor of i and q. 12 Let i(f) = f**3 - 8*f**2 - 9*f + 1. Suppose -3*q = -8*q + 45. Let p be i(q). What is the highest common divisor of p and 1? 1 Let p = -109 - -174. Let q(s) = s + 27. Let d be q(-14). Calculate the greatest common factor of p and d. 13 Let k(d) = 2*d**3 - d**2 - 5*d - 2. Let z be k(4). Suppose j - y - 17 = -j, -21 = -3*j + 3*y. Calculate the greatest common divisor of j and z. 10 Suppose -2*s = 2*s - o - 40, o = -5*s + 59. Let h = 142 + -65. What is the greatest common divisor of s and h? 11 Let t(p) = p**2 + p + 160. Let s be t(0). Suppose -5*l = -l - s. What is the greatest common factor of l and 10? 10 Let u(h) = h**2 - 4*h + 2. Let w be u(4). Calculate the highest common divisor of w and 5. 1 Suppose 3*f = 2*z + 70 - 214, 0 = 5*z + 3*f - 381. Calculate the greatest common divisor of 15 and z. 15 Let l(x) = -x**2 + 0 + 0 + 6*x**2 + x**3 + 6. Suppose z + 1 + 4 = 0. Let o be l(z). What is the highest common factor of 6 and o? 6 Let f = -46 + 49. What is the greatest common divisor of f and 1? 1 Let h = 8 + -1. Let w(r) = 2*r**2 - 8*r + 4. Let a be w(5). Calculate the greatest common factor of a and h. 7 Suppose -3*n = -12 - 15. Suppose 0 = 2*r - f - 19, r + 0*r - 32 = -4*f. Suppose -t = t - r. Calculate the greatest common factor of n and t. 3 Suppose 7*q - 4*q - 60 = 3*j, -3*q = 4*j - 46. What is the highest common divisor of 198 and q? 18 Let g = 11 - 18. Let a = 20 + g. Calculate the greatest common factor of 13 and a. 13 Suppose -22 = -5*n - 7. Let j be n/(-5) - 1908/(-30). What is the highest common factor of j and 7? 7 Let j be 1/(-1)*(-12 - -2). Let a = j - 17. Let r = a + 16. What is the greatest common factor of 99 and r? 9 Let t(n) = n**3 + 6*n**2 + 2*n - 9. Let m be t(-4). What is the highest common divisor of 135 and m? 15 Let x be (-5 + 1)/(2/(-12)). Suppose 44 = 2*l + 2*l - 5*u, l - 10 = u. Suppose -15 = -l*k + k. What is the greatest common factor of x and k? 3 Suppose -4*h + 165 = 4*p - 271, h = -5*p + 557. What is the greatest common divisor of 14 and p? 14 Let k be -26 - (-12)/4 - -2. Let r be (-6)/(-9) + (-217)/k. Calculate the greatest common factor of r and 121. 11 Let x be 39 - 13 - (-1)/1. What is the greatest common factor of x and 18? 9 Let z(q) = -q + 9. Let o be z(6). Suppose -323 + 125 = -o*y. Calculate the highest common factor of y and 6. 6 Let j(z) = -z + 22. Let y be j(12). Suppose -2*b - 2*l + 26 = 0, 6*l = b + 4*l - y. Calculate the highest common factor of 18 and b. 6 Suppose 0 = 3*c - 71 - 46. What is the greatest common factor of c and 39? 39 Suppose -6*m - 6 = -8*m. Suppose 4*a = j + 39, 12 = -3*j - j. What is the greatest common divisor of a and m? 3 Let m be -2 - (-1 - 1) - -15. Calculate the greatest common factor of 5 and m. 5 Suppose -2*r + 20 = 2*r. Suppose -2*j + 6 = 0, 0*z + r*j = -3*z + 33. What is the greatest common factor of z and 18? 6 Let l(w) be the third derivative of -w**4/8 + w**3/3 - 3*w**2. Let v be l(-3). What is the greatest common factor of v and 44? 11 Suppose c - 12 = -4*o, 3*o - c - 8 - 8 = 0. What is the greatest common divisor of o and 1? 1 Suppose 0*t - 3*t + 27 = 0. Calculate the greatest common factor of t and 9. 9 Suppose -6 = 3*r - 3*g - 3, r = -g - 5. Let o be (-1 - r - 3) + 6. What is the highest common factor of 20 and o? 5 Suppose -3*r + 424 = 154. What is the highest common factor of 10 and r? 10 Suppose 5*v - 2*v = -492. Let j = -114 - v. Calculate the highest common factor of 10 and j. 10 Let t(n) = -135*n**3 + n**2 - 1. Let r be t(-1). Suppose i - 11 = -2*h - 2*h, 4*h = -4. What is the greatest common factor of r and i? 15 Let m be (20/(-12))/(1/(-3)). Let i(n) = -n**3 + 6*n**2 + n - 1. Let o be i(6). Calculate the greatest common factor of m and o. 5 Let x(z) = 9*z**3 + z**2 + z - 1. Let g be x(1). Suppose 100 = t + 3*t. Let l = t + -5. Calculate the greatest common factor of g and l. 10 Let f(o) = 17*o**3 - 2*o**2 + 2*o - 4. Let r be f(2). What is the greatest common factor of 16 and r? 16 Suppose 5*n = 10 + 5. Calculate the highest common divisor of 6 and n. 3 Let s be (-2)/6 + (-24)/(-18). Calculate the greatest common divisor of s and 2. 1 Let v be 52 - (-2 + (1 - -1)). Suppose 2*o - 4*o + v = 0. Suppose 0*i + 5*t = 3*i - 66, i - 3*t - o = 0. What is the greatest common divisor of i and 136? 17 Let b(i) = -3*i - 5. Let m be b(-20). What is the greatest common divisor of 11 and m? 11 Suppose 10 = 3*f + 1. Suppose 25 = -5*i + 40. Calculate the highest common factor of i and f. 3 Let w be (-1 - 0) + (-58)/(-2). Calculate the greatest common factor of w and 70. 14 Let g(y) = -y**2 + 7*y - 9. Let o be g(4). Suppose 87 = 5*d + 4*p, -o*p + p = -d + 9. Calculate the greatest common factor of d and 6. 3 Let z be -3 + (-2 + 2 - 0). Let p = z + 11. What is the greatest common factor of p and 40? 8 Suppose 0 = 5*g - 25, v + 100 = 6*v + 2*g. What is the greatest common divisor of 198 and v? 18 Suppose 0 = 4*x + 5*p + 6, 3*x - 1 - 8 = 3*p. Let m(n) = n**3 + 13*n**2 + 11*n - 11. Let f be m(-12). What is the highest common divisor of x and f? 1 Suppose 2*h + 0*h = -2*d + 6, -7 = -d + 3*h. Suppose 8*a = d*a + 180. What is the greatest common factor of 9 and a? 9 Let g be 1*-27*(-2 + 1). Suppose 3*t + 4*i - 14 = t, -g = -5*t - 2*i. What is the highest common divisor of t and 45? 5 Let s(l) = -23*l - 1. Let t be s(-1). Calculate the greatest common divisor of t and 88. 22 Suppose -3*h + 2*j - j = -8, -5*h + 14 = -j. Let s = -15 - -18. Suppose s + 3 = 3*v. Calculate the greatest common factor of v and h. 1 Suppose 0*t + 52 = 3*c + t, 3*c - 3*t = 36. Let p = 29 + -21. Calculate the highest common factor of c and p. 8 Let m(a) = a**2 - a. Let g be m(-3). Let w = g + -30. Let f = 41 + w. What is the greatest common divisor of 184 and f? 23 Let p(j) = 20*j**2 - j - 1. Let a be p(-1). Let x be ((-10)/8)/(1/(-80)). Let w be x - (0 + 0/(-4)). What is the highest common divisor of a and w? 20 Let y(n) = -5*n**2 - 2*n + 1. Let x = 7 - 9. Let u be y(x). Let h = u - -78. What is the highest common factor of h and 7? 7 Suppose -4*c = -2*y - y - 21, -5*c = -y - 29.
{ "pile_set_name": "DM Mathematics" }
2, 17 Let v = 67 + -84. Let s(n) = -19*n + 91. What are the prime factors of s(v)? 2, 3, 23 Let q(c) be the first derivative of c**3 - 2*c**2 - 10*c + 98. Let w(l) = 5*l**2 + l + 1. Let v be w(-1). List the prime factors of q(v). 3, 5 Let c be (-7)/(-14)*(61 + -1). Suppose i = -c + 134. List the prime factors of i. 2, 13 Suppose -2*z + y = -6, -5*y = 4*z - 1 + 3. Suppose -4*m + v + 1053 = 0, 528 = 10*m - 8*m - z*v. What are the prime factors of m? 263 Let l(i) = 2*i**3 + 2*i**2 - 1. Let a(w) = -50*w**3 + w**2 + 5*w + 3. Let c(r) = a(r) + l(r). What are the prime factors of c(-2)? 2, 97 Suppose 30 = -5*s + p + p, 2*s + 2*p - 2 = 0. Let r(k) = 22*k**2 - 7*k - 7. What are the prime factors of r(s)? 373 Suppose -255*x = -437*x + 5119478. List the prime factors of x. 23, 1223 Let w be 90/(-3 + -89*(-4)/116). Suppose -13*p = 4*q - 18*p - 1026, 5*p - w = -5*q. What are the prime factors of q? 7, 37 Suppose 0 = -2*o - f + 37218, 229*f - 224*f = -o + 18591. List the prime factors of o. 37, 503 Let q = 19525 - 7610. What are the prime factors of q? 5, 2383 Let v be (-20)/(-8)*((-65)/25 - -5). List the prime factors of v + (-290)/1*54/(-12). 3, 19, 23 Suppose a - 5*h + 6 = 3, -3*a + 4*h + 2 = 0. Suppose 9*k = k + 3296. Suppose 5*j - b = 579, -a*b - 75 + k = 3*j. List the prime factors of j. 5, 23 Let w be (222/8 - -1)/((-17)/136). Let h = w - -394. What are the prime factors of h? 2, 41 Let o(f) = f**2 + 4*f + 18. Let i = 155 - 122. Suppose 2*h + i = 13. What are the prime factors of o(h)? 2, 3, 13 Suppose 2*u + 1509 = n, 2*n - 22 = -2*u + 3026. Suppose 8*t - n = -583. What are the prime factors of t? 3, 13 Let t = -12139 + 12836. What are the prime factors of t? 17, 41 Suppose -21*d = 2*q - 19*d - 41950, 104839 = 5*q - 4*d. List the prime factors of q. 67, 313 Let f = 23 - 24. Let h be (-2)/(-3)*(-117)/(-6) - f. Suppose 5*k = 4*n - 361, -3*n + 280 = 4*k - h. What are the prime factors of n? 2, 47 Let d = -11618 - -12710. What are the prime factors of d? 2, 3, 7, 13 Let y(i) = -1 + 5 - 9*i**2 + 1 + 18*i + i**3. Let o be y(6). Suppose -512 = -5*j + n, 0*j - 4*n = -o*j + 518. What are the prime factors of j? 2, 3, 17 Suppose 347*f - 377640 = 307*f. List the prime factors of f. 3, 1049 Suppose 29*c + 1861125 = 102*c + 32*c. What are the prime factors of c? 5, 709 What are the prime factors of -14 + 1 + 6 + 13375? 2, 3, 557 What are the prime factors of 4211*(-1 - (-8)/6) - 3436/(-10308)? 2, 3, 13 Let s be (-3)/((-4)/(-37496)*-3). Suppose 0 = -22*g + s + 636. What are the prime factors of g? 5, 7, 13 Suppose -35*d + 152911 = -190713 + 49834. List the prime factors of d. 2, 3, 1399 Let l = 46 - 44. List the prime factors of ((-1)/2)/((7 + l)/(-11988)). 2, 3, 37 Suppose -2*d - 5*x = -139, -333 = -2*d - 2*d + x. Suppose -16*a + 12*a + 8 = 4*m, 3*a = m + 10. Let r = d + m. What are the prime factors of r? 3 What are the prime factors of (0 + 816)*(3 + (-13)/26)? 2, 3, 5, 17 Suppose -2*o = -5*o + 246. Let z = 128 - o. Suppose -z*x = -44*x - 200. What are the prime factors of x? 2, 5 Let n = 381 + -385. What are the prime factors of ((-3505)/(-20))/(-1)*n? 701 Let w = 417 - 278. Let j = 117 + w. List the prime factors of j. 2 Let n be 48412/42 - 1/(-3). Let k = n - 813. List the prime factors of k. 2, 5, 17 Let j be (-2 + 0)/((-2)/36). Suppose -a + j = 3*a. Suppose -a*n + 680 = -n. List the prime factors of n. 5, 17 Suppose 0 = 5*a - 35240 - 18360. What are the prime factors of (4 - 1)/(4/(a/30))? 2, 67 Let b be 3/(3/15 + (-2)/60). Let u = 32 - 29. Suppose -y - 2*t + 69 + b = 0, -2*y - u*t = -170. List the prime factors of y. 79 Let d(f) = 2*f**2 + 11*f - 1188. What are the prime factors of d(78)? 2, 3, 1973 What are the prime factors of (15*(-8 + 10))/((-20)/(-12410))? 3, 5, 17, 73 Let k = -10 - -13. Let u be (-87)/(-3) - (k - 3 - 3). Suppose u*a - 318 = 30*a. What are the prime factors of a? 3, 53 Let k(s) = 2*s + 1. Let a(y) = y + 1. Let h(b) = 4*b + 6. Let z(m) = 14*a(m) - 2*h(m). Let f(g) = -16*k(g) + 5*z(g). What are the prime factors of f(-12)? 2, 3 Let h be 34/85 + (-1286)/(-10). Suppose -4*u + 211 = -h. List the prime factors of u. 5, 17 Let l = 14 - 23. Let f(i) = -i**2 - 5*i + 20. Let a be f(l). Let c(b) = -b**2 - 21*b - 8. What are the prime factors of c(a)? 2, 3 What are the prime factors of 732/((-28)/(48832/(-48)))? 2, 61, 109 Let r(s) = 3043*s - 4639. What are the prime factors of r(9)? 2, 11, 47 Let u(d) = 5*d**3 - 49*d**2 - 9*d + 7. Let z be u(10). List the prime factors of 28*z*(2 + -1). 2, 7, 17 Let f(o) = -5*o - 11. Let y be f(-3). Suppose -5*r = 4*c - 1054, 839 = y*r + 13*c - 14*c. Let d = -121 + r. List the prime factors of d. 89 Let g = 64 + -56. Suppose -2*v - g = -2, 0 = -x + 2*v + 183. Suppose x = -11*a + 14*a. What are the prime factors of a? 59 Let z be 5/(30/(-112))*30/(-20). Let l be -2*3/2 + 97. Let g = z + l. What are the prime factors of g? 2, 61 Let x(q) = -q**2 + 45*q - 263. Let y be x(7). Let c(g) = -g + 3. Let h be c(0). Suppose -l = -y*l - o + 27, -l + h*o = -3. What are the prime factors of l? 2, 3 Let h = 9280 + 9542. What are the prime factors of h? 2, 3, 3137 Let v(r) = 365*r - 19. Let f be v(-9). Let q be f/36 - 2/9. Let o = q - -196. What are the prime factors of o? 2, 13 Let t(u) = 21*u**2 - 45*u + 509. What are the prime factors of t(54)? 5, 11863 Suppose -80*z = -37*z - 59*z + 91216. What are the prime factors of z? 5701 List the prime factors of (-48)/3 + 18 + (0 - -1895 - -1). 2, 13, 73 Let g be (-2 + -2)/(-2) - (3 - 2). List the prime factors of (1 + 3 + -3)*(g - -120). 11 Let n = 29789 - 16388. List the prime factors of n. 3, 1489 Let q be 2 - (2 + -4 + 1). Let p(x) = 2*x**2 - 7*x + 8. Let j be p(q). Suppose -s - 958 = -j*i + 2*s, 0 = -5*i + 5*s + 960. What are the prime factors of i? 191 List the prime factors of (14/(-2))/(0 + 1 + 5120/(-5116)). 7, 1279 Suppose 0 = -v + 5*c + 83, -2*c + 247 = 8*v - 627. What are the prime factors of v? 2, 3 Let r(p) = -p**2 + 18*p + 7. Let h(y) = -y**2 - y - 2. Let k be h(-7). Let o = -36 - k. List the prime factors of r(o). 3, 29 Let z = -26 + -8. Let g = z - -154. What are the prime factors of g? 2, 3, 5 Suppose 0 = -2*v + 42 + 70. Suppose -v*x + 53*x = -819. What are the prime factors of x? 3, 7, 13 Let g(j) = 316*j + 485. What are the prime factors of g(21)? 7121 Suppose t = 3*t - 4. Suppose -6873*v + 44 = -6862*v. Suppose t*c = -v*b + 36, -3*c + b + 22 = -b. What are the prime factors of c? 2, 5 Let z = 27545 - -11272. What are the prime factors of z? 3, 19, 227 Let f be 4/(8/14) + (-8)/2. Suppose f*n - 8*n = -45. Suppose -n*i + 1349 - 26 = 0. List the prime factors of i. 3, 7 Suppose -638 = -4*l + 2*l. Let t = l - 151. List the prime factors of t. 2, 3, 7 Let w(p) = -2*p**3 + 10*p**2 + 2*p - 5. Suppose 0 = 8*k - 16*k + 40. Let j be w(k). Let m(i) = i**3 - 3*i**2 - 6*i + 8. What are the prime factors of m(j)? 2, 7 Let a(x) = -3*x**2 - 3*x + 2. Let l = -32 - -33. Let i be a(l). Let d(m) = m + 37. List the prime factors of d(i). 3, 11 Suppose -v - 32 = -5*j - 0*j, 3*v = 5*j - 56. Let x(k) = k**3 + 12*k**2 - 10*k + 26. Let g be x(v). Let a = g - 2. List the prime factors of a. 2, 3 Let f(w) = w + 10. Let z be f(-4). Suppose 0 = -5*n - 4*p + 156, 2*p + 100 = 3*n + z*p. Suppose -3*u = k - n, k + 3*u = -u + 23. List the prime factors of k. 43 Suppose 0 = -33*x + 215384 + 160561 - 54921. List the prime factors of x. 2, 19 Let x(q) = 2*q**2 - 78. Let l = -22 - 3. What are the prime factors of x(l)? 2, 293 Suppose -5*j - 519 = -2*h, 4*h + j = 3*h + 263. Suppose 0 = 2*s - h - 26. What are the prime factors of s? 2, 3 Let z(w) = -69*w - 144. Let r(j) = 141*j + 287. Let a(g) = -3*r(g) - 5*z(g). What are the prime factors of a(-10)? 3, 71 Suppose 7*s - 47 = -5. What are the prime factors of s/(6 + 640/(-107))? 3, 107 Suppose -4*d = -1 - 11, 23 = -5*s + d. Let y(j) = 11 - 24*j**2 + 34*j**2 - 2*j**3 + 6*j + j**3. What are the prime factors of y(s)? 211 Let z = -35 - 29. Let o = z - -66. Suppose -5*t = -2*h + 282, 5*h + t = o*t + 659. What are the prime factors of h? 131 Let u(o) = -7*o + 74. Let k be u(-14). Let v = 425 + k. What are the prime factors of v? 3, 199 Let y be 49/2*(6/(-3) + 4). Let r = y - 47. Suppose -7*t + 45 = r*t. What are the prime factors of t? 5 List the prime
{ "pile_set_name": "DM Mathematics" }
q**2 wrt q. 144*q Let q(p) be the second derivative of 5*p**5/4 - p**4/4 - 579*p**2/2 - 2*p + 83. Differentiate q(m) with respect to m. 75*m**2 - 6*m Let y(g) be the third derivative of -257*g**5/30 - 81*g**4/8 - 310*g**2 - g. What is the second derivative of y(z) wrt z? -1028 Let i(o) be the first derivative of 24*o**3 + 200*o + 84. What is the derivative of i(v) wrt v? 144*v Let j(m) = m**3 + 8*m**2 + 16*m + 19. Let u be j(-5). Differentiate -3*w**2 - u*w**2 + 34 + 3*w**2 - 3*w**2 wrt w. -34*w Suppose 0 = -2*c + 1336 + 2374. What is the third derivative of 0*q - 2*q**2 - 34*q**3 - c - 5*q + 1855 wrt q? -204 Let g = 278/3 - 92. Let s(y) be the second derivative of 0 + 0*y**5 - g*y**3 + 2/15*y**6 + 0*y**4 + 0*y**2 + 2*y. What is the second derivative of s(b) wrt b? 48*b**2 Let c(v) be the second derivative of 53*v**3 + 431*v**2 + 669*v. What is the first derivative of c(a) wrt a? 318 What is the derivative of 38 - 6*y - 8*y - 14*y**2 - 8*y**2 + 13*y wrt y? -44*y - 1 Suppose 2*q + n + n - 4 = 0, 4*q = 3*n + 8. Let f = q - 3. Let u(p) = -6*p + 7. Let b(w) = 1. Let o(m) = f*u(m) + 2*b(m). Differentiate o(h) with respect to h. 6 Suppose 0 = 4*q + 21 - 65. Find the second derivative of q*u + 2*u**4 + 3*u**4 - 4*u**4 wrt u. 12*u**2 Let t(b) be the first derivative of 1/3*b**3 + 7*b + 0*b**2 - 6. What is the first derivative of t(n) wrt n? 2*n Suppose 0 = 8*y - 5*y - 15, -4*r + y = -119. Let l = -24 + r. Find the third derivative of -5*m**2 - 3*m**2 + l*m**2 + 2*m**5 wrt m. 120*m**2 Let c be 0/(((-6)/4)/(3/8)). Let a(y) be the second derivative of 0 - 7/20*y**5 - 2*y**2 + y + 0*y**4 + c*y**3. Differentiate a(q) with respect to q. -21*q**2 Find the third derivative of 234*r**6 - 3*r - 86*r**6 + 3*r + 136*r**6 + 291*r**2 wrt r. 34080*r**3 Differentiate -124 + 74 - 21 + 176*v**2 - 336 with respect to v. 352*v Let z(u) = u - 4 - 1 - 4*u + 2*u. Let b be z(-13). What is the second derivative of -2*o**2 + b*o**4 - 5*o + 2*o**2 - 5*o**4 wrt o? 36*o**2 Let a(l) = 5*l**3 - 7*l**2 - 59*l. Let x(u) = -81*u**3 + 111*u**2 + 942*u. Let i(c) = 33*a(c) + 2*x(c). Find the second derivative of i(w) wrt w. 18*w - 18 What is the second derivative of 3*q**4 - 58*q**3 - 5*q**4 + 52*q + 36*q**3 wrt q? -24*q**2 - 132*q What is the first derivative of 26*k**2 + 21*k**2 + 2*k**4 + 19*k**2 - 76*k - 66*k**2 - 170 wrt k? 8*k**3 - 76 Let h(n) = 271*n**4 + 11*n**3 - 2*n + 130. Let g(s) = 136*s**4 + 6*s**3 - s + 65. Let l(q) = 11*g(q) - 6*h(q). Find the first derivative of l(y) wrt y. -520*y**3 + 1 What is the first derivative of 144 + 1166*q**3 + 242 - 897*q**3 wrt q? 807*q**2 Find the third derivative of 0*n**3 + 17399 - 173*n**5 - 17387 + 0*n**3 + 6*n**2 wrt n. -10380*n**2 Let z(i) be the third derivative of -139*i**9/252 - i**5/60 + 65*i**3/2 - 3*i**2 + 53*i. Find the third derivative of z(v) wrt v. -33360*v**3 Suppose -3*o + 96 = -o. What is the first derivative of -23*d + 10 + o*d - 7*d wrt d? 18 Let v be ((2 - 0) + -1)*(-41 - -46). Let k = 1 + 8. What is the third derivative of -9*f**5 + 3*f**2 + f**6 + k*f**v wrt f? 120*f**3 Let k(l) be the second derivative of -l**5/20 - 20*l**3/3 - 86*l**2 - 3*l - 89. Differentiate k(d) with respect to d. -3*d**2 - 40 Let o(y) be the third derivative of -9*y**4/4 + 241*y**3/6 - 15*y**2. Differentiate o(n) wrt n. -54 Suppose 47*a = 51*a - 12. Find the third derivative of 11*q**4 - 17*q**3 + 11*q**3 + 6*q**a - 23*q**2 wrt q. 264*q Find the third derivative of 24*w**6 + 227*w**6 + 31*w**2 - 56*w**2 - 37*w**6 wrt w. 25680*w**3 Let n be (24/36)/(3 - (-15)/(-6)). Let v(h) be the first derivative of 0*h + 1/4*h**4 + n*h**3 + 0*h**2 + 5. Find the third derivative of v(x) wrt x. 6 Let i(p) = p**2 - 2*p + 1. Let c(u) = -74*u**2 + 13*u - 200. Let h(b) = c(b) + 6*i(b). Differentiate h(j) with respect to j. -136*j + 1 What is the third derivative of -1137 - 13*j + 3*j**2 - 46*j**4 - j**6 + 1137 wrt j? -120*j**3 - 1104*j Let h(s) = 88*s**3 + s**2. Let r be h(-1). Let o be 5/(5/r)*-1. Find the third derivative of -o + d**2 + d**4 + 87 wrt d. 24*d Suppose f = 8*f - 259. What is the second derivative of 34*n - f*n**4 + 102*n**4 - 36*n**4 wrt n? 348*n**2 Let x(w) be the second derivative of -289*w**4/6 + 119*w**2/2 - 242*w. Differentiate x(t) with respect to t. -1156*t Let c(z) be the third derivative of -6*z**2 - 1/24*z**4 + 1/21*z**7 + 0*z**6 + 0*z + 0*z**5 + 0 + 0*z**3. Find the second derivative of c(o) wrt o. 120*o**2 Suppose 7*b - d = 4*b + 1, 12 = -4*b + 4*d. Differentiate -9*o**2 + 19 - 6*o + 8*o - b*o wrt o. -18*o Let x(t) = 132*t**2 - 11*t + 48. Let d(a) = -66*a**2 + 6*a - 25. Let r(f) = -11*d(f) - 6*x(f). What is the first derivative of r(l) wrt l? -132*l Let c(s) be the second derivative of 4*s**5/5 - s**4/4 + 63*s**3/2 + 89*s. What is the second derivative of c(t) wrt t? 96*t - 6 Let q(r) = -r**2 + 7*r. Let f(i) be the second derivative of -i**3/6 + i. Let p(x) = 6*f(x) + q(x). What is the second derivative of p(j) wrt j? -2 What is the derivative of 120*u**2 + 10 - 185 - 228*u**2 + 115*u**2 wrt u? 14*u Let a(z) be the second derivative of 6*z**5/5 - 55*z**4/3 - 286*z. What is the third derivative of a(f) wrt f? 144 Let v(t) = -10*t**6 - 12*t**5 + 45*t**3 - 400*t**2 + 6*t - 6. Let w(b) = -2*b**5 + b - 1. Let d(u) = v(u) - 6*w(u). Find the third derivative of d(s) wrt s. -1200*s**3 + 270 Suppose -4*h + 7*h - g = 10, 0 = 4*h - 4*g - 16. Find the second derivative of -11*s**4 - 6*s**h + 6*s**3 - 4*s**4 - 2*s wrt s. -180*s**2 Let o be (8/4)/(6/39). Find the second derivative of m**3 + 195*m - 202*m - o*m**3 wrt m. -72*m Let v(h) be the first derivative of 7*h**4/4 - 11*h**2 + 226*h - 53. Differentiate v(t) wrt t. 21*t**2 - 22 Let m(t) be the third derivative of -7*t**5/30 - 47*t**3/6 + 52*t**2. Find the first derivative of m(g) wrt g. -28*g Let f = 46 + -27. Let r = f - 15. Find the second derivative of -3*i + 8*i**5 + 5*i - r*i + 3*i wrt i. 160*i**3 Let y be 104/(-416) - 2/(-8). Let x(t) be the third derivative of 0*t**3 + 5/24*t**4 + 0 + y*t - 2/15*t**5 - 8*t**2. Find the second derivative of x(j) wrt j. -16 Suppose -36 - 80 = -4*i. Find the third derivative of -7*k**6 - 8*k**2 + i*k**2 + 21*k**6 wrt k. 1680*k**3 What is the third derivative of 36*i**2 + 38*i**4 + 129*i**2 + 29*i**4 + 188*i**2 - 35*i**2 wrt i? 1608*i Let c(l) be the first derivative of 36*l**5/5 - 17*l + 61. Find the first derivative of c(p) wrt p. 144*p**3 Let s be ((0 - -1) + -6)*-1. Suppose s*b = 2*f - 2 - 16, 3*b = -6. Find the second derivative of -3*h + f*h - 4*h + 4*h**3 wrt h. 24*h Let l(q) be the first derivative of 2*q**3/3 + 55*q**2/2 + 64*q + 67. Differentiate l(b) wrt b. 4*b + 55 Suppose 5*g = 3*l - 5, -2*l + 2*g = -3*g. Find the second derivative of 26*k - 9*k - 398*k**l + 408*k**5 wrt k. 200*k**3 What is the third derivative of 360*y**2 + y**3 + 11*y**5 - 3*y**4 - 75*y**5 - 159*y**2 + 3*y**4 wrt y? -3840*y**2 + 6 What is the third derivative of 125*s**3 + 128*s**2 - 30639*s + 30639*s wrt s? 750 Let x = -26 - -28. Let w be x - 16/(-2 - 2). Find the third derivative of 4*s**2 + 5*s**2 - 10*s**w - 2*s**2 wrt s. -1200*s**3 Find the first derivative of -700*n - 209*n - 407 + 359*n - 414 wrt n. -550 Let u(g) be the third derivative of 17/120*g**6 + 0 + 8*g**2 + 0*g + 7/12*g**5 + 0*g**3 + 0*g**4. Find the third derivative of u(y) wrt y. 102 Let d(l) = -71*l**3 + l**2 - 32*l - 22. Let x(y) = -24*y**3 - 11*y - 7. Let r(k) = 6*d(k) - 17*x(k). Find the second derivative of r(u) wrt u. -108*u + 12 Let m(j) = 9*j**3 + j**2 + j - 1. Let r be m(1). Let s = 13 - r. What is the second derivative of -7*k**3 + 3*k**3 + 7*k - s*k - k wrt k? -24*k Let q(f) be the first derivative of -1/4*f**4 + 12 + 0*f + 0*f**3 + 7*f**2. Find the second derivative of q(b) wrt b. -6*b Let r = 2 - -4. Suppose 3*v - r*v + 9 = 0. Differentiate 2*b + v - 2*b - 12*b**2 + 7*b**2 wrt b. -10*b Suppose -16 = -4*b + 4. Suppose 9*t - 24 = b*t. What is the third derivative of -d**6 - 4*d**6 - d**2 - d**2 + d**t wrt d? -480*d**3 Let v(n) be the first derivative of 34 + 4*n**5 + 0*n**6 + 0*n + 0*n**2 - 34/3*n**3 + 2/7*n**7 + 0*n**4. Find the third derivative of v(i) wrt i. 240*i**3 + 480*i Let q(m) be the second derivative of -81*m**8/56 + m**4/6 + 41*m**3/3 + 80*m. What is the third derivative of q(s) wrt s? -
{ "pile_set_name": "DM Mathematics" }
, 5*j - 122 = -3*d + 164. Is d a multiple of 23? True Suppose 8*m + 40 = 4*m + 3*j, 0 = m - 2*j + 10. Let y = 12 + m. Suppose y*l - 80 = 82. Does 17 divide l? False Let r(c) = c**2 - 2*c + 4. Let p be r(-6). Suppose 24 = -54*t + p*t. Let y = 52 + t. Is 20 a factor of y? True Let y(i) = 3*i**2 - 11*i - 34. Is y(-17) a multiple of 51? True Suppose 4*s + 302 + 430 = 0. Let a = -55 - s. Is a a multiple of 9? False Suppose -15*f + 420 = -0*f. Does 28 divide f? True Let w(j) = 144*j**2 + j + 46. Is 52 a factor of w(-5)? False Suppose -9 = -0*y + 3*y. Let h be (-4760)/(-42) + 4/y. Suppose 48 = 4*x - h. Is x a multiple of 40? True Let k(u) = -u**2 - 7*u + 8. Let v be k(3). Suppose 4*c = -h - 176, -h = -2*h. Let x = v - c. Is 7 a factor of x? False Let n = -614 - -754. Is n a multiple of 20? True Let a(b) = 93*b - 2. Let d be a(-4). Is d/(-18) + 6/27 a multiple of 7? True Suppose -w - 4*f + 18 = 0, -f = -w - 6*f + 19. Suppose -2*n - 4 = x + 7, 2*x - w = 5*n. Is -82*(n/(-8))/(-1) a multiple of 12? False Let z be -1*21/7 + 91*1. Let m = 104 - z. Does 3 divide m? False Suppose 0 = 4*q - h - 17, 5*q = -2*h + h + 28. Suppose 0 = -5*w - v + 14, 5*w - 17 = q*v - 3*v. Is (w/(-6))/(2/(-100)) a multiple of 12? False Let p = 48 + 638. Let r = -472 + p. Is r a multiple of 48? False Let p = -607 + 617. Let z be (-52)/(-14) + (-4)/(-14). Suppose l = -4*l + z*a + 10, 5*a - p = -5*l. Does 2 divide l? True Let n be (-4)/10 - (3591/(-35))/9. Does 3 divide 36 - (10 - n)/((-2)/6)? True Let o be ((-6)/4)/(24/(-80)). Suppose 0 = 2*n - 3*n + o*s + 18, 0 = n - 4*s - 15. Suppose -7*y = -n*y - 52. Does 6 divide y? False Let z(q) = -5*q**2 + 34*q + 31. Let n(x) = x**2 + x + 1. Let c(l) = 4*n(l) + z(l). Is 18 a factor of c(24)? False Let t(k) = 92*k**2 + 20*k - 80. Is t(4) a multiple of 46? True Let b(y) = 14*y**3 - y**2 - 2*y - 5. Is 24 a factor of b(3)? False Let o(c) = 5*c**2 - 3*c - 7. Let j(a) = -2*a - 8. Let g be j(-7). Does 14 divide o(g)? False Let t be 7 - (-306)/(-42) - (-10000)/14. Suppose -647 = -4*x - c, 0 = 3*x + 2*c - t + 225. Is x a multiple of 23? True Let y = -202 + 291. Is 3 a factor of y? False Let f(x) = 9*x**2 + 2. Suppose 45 - 20 = 5*q. Does 37 divide f(q)? False Suppose 33 = 5*t - 7. Suppose 0 = -t*m - 5 + 205. Does 25 divide m? True Let b(l) = 189*l - 91. Is 5 a factor of b(3)? False Let a(h) = 9*h + 42. Let y be a(-4). Is 24 a factor of 1407/6 + 0 + 9/y? False Let j = -218 + 367. Is j a multiple of 74? False Let n = 162 + -52. Suppose -2*c = 40 + 108. Let b = c + n. Does 11 divide b? False Let o(y) = -218*y + 5. Is o(-11) a multiple of 29? False Does 48 divide ((-40)/15)/((-14)/18543)? False Suppose 5*a - 9*a = 12. Is 20 a factor of (-4)/(-10) - (1188/10)/a? True Let f(l) = 5*l**2 + 51*l - 90. Is 18 a factor of f(-24)? True Let w = -31 - -51. Suppose -1147 = 14*m - 51*m. Let r = w + m. Is r a multiple of 17? True Suppose -3*h + 16 = 2*j + h, 0 = -2*h + 4. Suppose 0 = j*o + 28 + 36. Let i = 72 + o. Is i a multiple of 8? True Let k = -10 - 8. Does 17 divide ((-34)/(-3))/2*(k + 33)? True Is (6/18 + 4/6)*84 a multiple of 11? False Suppose -v + 0*v + 2 = 0. Let f be v/(-4)*(4 + -2). Is 10 a factor of (f - -4)*(16 - 3)? False Let g(h) = h**3 + 2*h**2 - h + 6. Let t be g(-6). Let q be t*3/9*-3. Let c = q + -68. Is 13 a factor of c? False Let p = 12 - 0. Suppose -6*l - p = -10*l. Suppose l*f + f = 40. Does 5 divide f? True Let w(i) = -i**2 + i + 2. Let t = -11 + 13. Let a be w(t). Suppose -4*v + 0*p - 3*p + 228 = a, -212 = -4*v + p. Is 19 a factor of v? False Let v = -130 - -131. Is 7 a factor of (-11 + v)*(3 + -7)? False Suppose 3*x + 2*p - 100 = 0, x - 40 = p - 0. Suppose 0*k = -4*k + 4*n + x, -5*n = -4*k + 34. Is 3 a factor of (-2)/(-4)*(1 + k)? True Let p(h) = -6*h - 3*h**2 - 14 + 5*h**2 - 10. Is 21 a factor of p(-6)? True Let v = 72 - 66. Is 36 a factor of ((-48)/(-8))/(v/80)? False Let i(c) = c**2 + 2*c - 24. Let f be i(-6). Suppose -4*n + 2*n + 5*z = -57, 2*n + z - 27 = f. Is 7 a factor of n? False Suppose 3*x = -3*n - 0 + 15, 5*n - 13 = -x. Suppose -215 = -3*w + 2*j, 0*w - n*w + 4*j = -130. Is 15 a factor of w? True Suppose -12*n + 15288 = 9*n. Is 9 a factor of n? False Suppose 5*z = -5*l + 20, 3*z = 2*l - 2 - 1. Suppose -p + z = -2*k + 148, -2*k = -3*p - 141. Is k/27 + (-4)/(-18) a multiple of 2? False Suppose -x + 2*q = -471, x - 11*q = -8*q + 468. Is x a multiple of 9? True Let v = 303 + -237. Does 11 divide v? True Let r = 655 + -381. Suppose 4*w = x + 277, -4*w + x + x + r = 0. Is 14 a factor of w? True Suppose n = l - 297, -752 = -5*l - 4*n + 688. Is l a multiple of 6? False Suppose 0 = -7*y + 14*y - 1827. Suppose 465 = 4*c + l - 565, 2*l = -c + y. Is 53 a factor of c? False Suppose t - 5*z - 74 = 0, -25 = -t + 2*z + 43. Let l = t - 22. Suppose 0 = 5*k + 2*j - 47, -2*k + 8*j = 3*j - l. Is k a multiple of 11? True Let p(h) be the first derivative of -3*h**2/2 + h - 4. Let t be p(1). Is 13 + t/(2/1) a multiple of 12? True Suppose -2*c = -y - 4*c + 3, 7 = y + 4*c. Is -15*4/(-12) - y even? True Let d be ((24/(-5))/(-2))/((-6)/30). Let b(i) = i**2 + 8*i - 24. Is b(d) a multiple of 8? True Let x = -109 + 733. Is 15 a factor of x? False Suppose -3*y - 6 - 9 = 0. Let k(p) = -p - 5. Let g be k(y). Suppose m - 4*b - 15 = 0, -3*m + 2*b = -g*m - 45. Does 5 divide m? True Let z(a) = -a**2 + 10*a - 16. Let g be z(7). Suppose -v - g = -4*i, -5*i + 7 + 9 = 2*v. Let k = 1 + v. Is 4 a factor of k? True Let k(d) = 3*d + 3. Suppose -36 = -8*n + 5*n. Is k(n) a multiple of 8? False Let u = 6082 + -4241. Is 62 a factor of u? False Suppose -6*u + 12 = -78. Does 11 divide 357/9 - (-5)/u? False Suppose -2*g + 14 = -0*g. Suppose 0 = -5*d + 9*d. Let j = g - d. Is 6 a factor of j? False Let f(i) = i**3 - 1. Let h(a) = 5*a**3 - 14*a**2 - 28*a + 3. Let p(w) = -6*f(w) + h(w). Does 19 divide p(-12)? True Let f(i) = i**2 - 6*i - 7. Let r be f(7). Suppose -5*d = -r*d - 15. Suppose 24 = d*m - 108. Does 5 divide m? False Let m = 1737 + 908. Does 60 divide m? False Suppose -4*w + 40 = -2*s, -4*w + 35 = -w - 4*s. Suppose -w = -5*x + 2*x. Suppose -n + 21 = -4*r, 0 = x*n - 2*r + 14 - 67. Is n a multiple of 7? False Let o(g) = -234*g + 27. Is 22 a factor of o(-2)? False Let j = 161 - -322. Does 23 divide j? True Suppose 0 = -2*o + 5 - 29. Does 4 divide o/(-20) - 74/(-10)? True Let f(p) = -3*p**2 + 5*p - 17. Let k(o) = -2*o**2 + 6*o - 16. Let h(g) = -4*f(g) + 5*k(g). Is h(-8) even? True Suppose 2*d + 2*d - 5*f = 32, -32 = -4*d + 4*f. Let r be (-6)/(-2)*105/63. Suppose r*v - 43 = -d. Is v a multiple of 7? True Let i = 496 + -556. Let f be (2*5)/1 - 1. Is 4 a factor of (i/f)/(2/(-6))? True Let v(j) = 756*j**2 - 11*j - 11. Is 12 a factor of v(-1)? True Suppose 0*w - 2*w = -4*p - 40, 0 = w - p - 17. Suppose -333 = -w*l + 11*l. Is 19 a factor of l? False Let l be (4/3)/((-4)/12). Let x be -3 - (-2)/l*-2. Is 3 a factor of 52/8 - x/(-4)? True Let c = -3821 - -6569. Is c a multiple of 12? True Let c(l) = 7*l**2 - 33*l + 33. Is 13 a factor of c(10)? True Is 2 a factor of (3 - 122/4)*20/(-25)? True Let m(k) = 2*k**3 + 114*k**2 + 107*k - 95. Is 5 a factor of m(-56)? True Let d(u) = -3*u + 27. Does 2 divide d(-30)? False Suppose 5*v + 36 = 5*m - 1104, -684 = -3*m + v. Does 12 divide m? True Suppose -7 = 2*s - 3, 3*n + 2*s - 188 = 0. Suppose n = y - 4*x, 17 = 5*y - 4*x - 223. Does 11 divide y? True Suppose d - 2 = 12. Is (-162)/36*d/(-3) a multiple of 7? True Suppose 0 = 5*d - 43 - 122. Let h = -26 + d. Does 3 divide h? False Suppose -6*l + 5*l + b = 58, 4*l + 222 = 2*b. Suppose -t + 5 = 5*h + 110, -5*h = -20. Let i = l - t. Is i a multiple of 18? True Let d = -40 - -61. Let o = d - -99. Is o a multiple of 12? True Let c = 2565 + -1913. Is 22 a factor of c? False Let y(r) = r**3 - 5*r**2 - 9*r - 5. Let m be y(8). Suppose -3*u = 4*t - m, 3*t + 78 = 2*u - 27. Does 15 divide u? True Let j be (-544)/8 - (0 - -3). Let a = j + 77. Does 6 divide a? True Let c(k) = 5*k + 146. Does 18 divide c(-22)? True Suppose -5*h = t + 2*t + 660, 4*t = 20. Let b = -65 - h. Is 9 a factor of b? False Let x be 4/(-14) - 120/21. Let o(w) = -w**2 + 24*w - 13. Let l(v) = v - 1. Let m(a) = x*l(a) + o(a). Does 12 divide m(7)? False Let d(g) = 46*g**2 + g. Let p be d(-1). Suppose 3*u = 2*t - 30 - 50, t = -u + p. Is 17 a factor o
{ "pile_set_name": "DM Mathematics" }
-1 - (-1 + -79)? True Suppose 0*o - 17 = 2*o - 5*v, 0 = -3*o - v + 17. Suppose 5*s - 1 = 9. Suppose 2*i + 8 = o*a, 2*i + s*a - 7 = 3*a. Does 2 divide i? True Is -66*(-4*1 - (-11 - 159/(-6))) a multiple of 11? True Let v be (-153 - (3 + -10))*2/(-4). Suppose -o + v = 9. Is 16 a factor of o? True Let d(b) = 13*b + 1. Let u(o) = -1 + 6*o - 19*o + 6*o. Let s(c) = 6*d(c) + 11*u(c). Is s(9) a multiple of 2? True Suppose 2*u + 12*b - 113482 = 15*b, -283705 = -5*u - b. Does 25 divide u? False Does 209 divide -11*(-1 - 810 - 48/8)? True Suppose 0 = -2*t - f + 8033, 3*t + f - 2644 = 9405. Is t a multiple of 10? False Suppose -t + 4491 = 9*r - 4*r, -4*t = -4*r - 17964. Is t a multiple of 3? True Let m be (-10)/1*1060/(-8). Let v = m + -805. Does 20 divide v? True Let o = 88 - 75. Suppose -14*q = -o*q - 33. Does 19 divide (253/q)/(3/18)? False Let j(a) = a**2 - 5*a - 9. Let m be j(-7). Suppose 0*q + 3*q - 3*i = m, -2*q = 4*i - 80. Suppose -5*d - 52 = -n + q, -188 = -2*n - 2*d. Is 16 a factor of n? False Let q(y) = -48*y**3 - 8*y**2 + 2*y + 18. Does 21 divide q(-5)? False Let t(g) = -3*g - 22. Let x be t(-11). Suppose 8*b - x*b - 30 = 0. Does 28 divide (-24)/b*(4 - 590/(-15))? False Let u(t) = -t**3 + 9*t**2 + 2*t + 4. Let r be 5 - (-1 - (4 - 5))/1. Let w be u(r). Is 73/3*w/19 a multiple of 42? False Let b be ((-15)/7)/(6/(-42)). Suppose -417 = -b*t + 3468. Is t a multiple of 44? False Suppose 57 + 19 = h + 4*g, 2*h - 4*g - 212 = 0. Is 26 a factor of 3/4 + 37368/h? True Let j = -17 + 21. Let r be 0*j/12*-3. Suppose -3*t + 2*t + 136 = r. Is t a multiple of 30? False Does 17 divide (-9476700)/(-434) + ((-1)/5 - 85/(-175))? False Let h(b) = 141*b + 3043. Is h(12) a multiple of 5? True Let u = 131 - 39. Suppose -u*o + 104*o = 4140. Is o a multiple of 23? True Let y = -83 - 14. Let m = -82 - y. Is (((-9)/2)/(-3))/(m/520) a multiple of 18? False Suppose 3*h + 4031 = o - 1720, -o + 5*h = -5757. Is o a multiple of 66? True Suppose 20 = 5*h - 4*o + 6*o, 5*o + 16 = 4*h. Suppose -h*x + 297 = 5*x. Is x a multiple of 7? False Suppose -226 = -2*z + c, -10*z + 13*z - 3*c - 339 = 0. Suppose x - 2*x - g = -z, -2*g = 4*x - 452. Is 4 a factor of x? False Let v be 186 - (8 - 0)*19/76. Suppose 4*u - v = -2*m, 14*m + 180 = 4*u + 18*m. Does 7 divide u? False Does 22 divide (-16 + 6 - -48020)*4/8? False Let v(o) = o**3 - 3*o**2 + 2*o. Let u be v(2). Suppose m - 7*m = u. Suppose m*h + 48 = 3*h. Is h a multiple of 12? False Let y(r) = -5 + 24*r + 4 - 19. Does 4 divide y(2)? True Suppose 225214 - 401283 = -170*f + 355521. Does 53 divide f? True Let s(w) = -12*w + 53 - 45 + 0*w**2 - 4*w**2 + 0*w + w**3. Let p be s(9). Let l = -164 + p. Is 47 a factor of l? True Let o(b) = 6*b + 33. Let g be o(-6). Let j be -32 + (-4 + -5)/g. Let n = 40 - j. Does 17 divide n? False Suppose -5*n + n + 155 = 3*j, -5*n = 3*j - 160. Let y = j + -40. Suppose 67 = d - y. Is d a multiple of 9? True Let n be (-1)/(3/(-288)) - (-2 + 3). Suppose -n = -w - 5*u, 465 = 4*w + 2*u + u. Suppose 0 = -p + 15 + w. Does 19 divide p? False Suppose 11*r = 7*r + 4. Let f be r + 32/4 + -4. Does 5 divide 28/6*(f + -4 - -2)? False Suppose -4*p + 33*s + 17892 = 29*s, 4*p = 2*s + 17886. Is p a multiple of 52? False Let j(s) be the third derivative of 13*s**5/2 - 13*s**4/12 - 4*s**3 + 40*s**2 + s. Is 21 a factor of j(-1)? False Let a(r) = 134*r**2 - 130*r - 37. Is 25 a factor of a(13)? False Let m(j) = j**2 + 10*j + 20. Let p be m(-8). Suppose -3*v - 5*z - 196 = -p*v, -2*v - 3*z = -392. Let x = v + -112. Does 14 divide x? True Let d(a) = 662*a + 78. Let n be d(10). Suppose 23*s - n + 1178 = 0. Is 40 a factor of s? True Suppose -z = -2*t + 8, t - 4*t + 4*z = -7. Suppose -v - 1 = -t. Let r = v + 6. Is 10 a factor of r? True Let g(r) = 25*r**3 - 91*r**2 + 268*r - 384. Let z(w) = -9*w**3 + 30*w**2 - 90*w + 128. Let b(c) = 4*g(c) + 11*z(c). Is 8 a factor of b(32)? True Let a = -91 + 91. Suppose -2*o + 4676 = 4*k, -4*o + a*o - 5858 = -5*k. Does 20 divide k? False Let v = 2380 - 2250. Does 8 divide v? False Let z = -68 - -136. Suppose 30 + z = 7*m. Is 2/m + (-1740)/(-70) a multiple of 3? False Let g(t) = t**3 + 10*t**2 + 15*t + 3. Let m be g(-8). Suppose m*d - 7*d = 380. Does 2 divide d? False Let y(p) = 19*p**3 + 4*p**2 - 2*p - 8. Let u be y(3). Suppose 3*i - 1073 = -4*q, -i = 2*q - 0*q - u. Does 28 divide q? False Suppose 5*a + 2*d = 13, -5*a - 3*d - 4 + 16 = 0. Suppose -5*p + 912 = 2*k, -5*k - a*p + 2404 - 105 = 0. Is k a multiple of 4? False Suppose a + 5*p = 275, -5*p + 575 = 15*a - 13*a. Does 6 divide a? True Let j = -90 + 117. Suppose j = 8*a - 7*a. Suppose -a*v + 15*v = -1020. Does 5 divide v? True Let p be (259/2 - -1)*36/54. Let n(b) = -b**2 + 2*b**2 + 100 - 18*b - b - p. Is 5 a factor of n(21)? True Suppose -37315 = -5*b - 2*w, -4*w = 2*b - 10915 - 3995. Is 46 a factor of b? False Does 21 divide ((-435)/(-30) - 15)*(2 + -15080)? True Suppose 5*t = 7*t - 4. Let x be ((0/3)/(7/(-7)))/(-2). Suppose -t*p - 4 = x, p + 131 = m - 2*p. Is 26 a factor of m? False Let w = 26731 + -9054. Does 11 divide w? True Let d(u) = -u**3 - 33*u**2 + 21*u + 53. Does 95 divide d(-44)? True Is (-11153)/(-3) + 26/(-39) a multiple of 9? True Suppose -8*s - 6 = -3*s + 3*a, -3*a - 6 = -5*s. Let n(i) = -i**2 + 32*i - 54. Let p be n(14). Suppose -p = -s*l - 6*l. Is 18 a factor of l? False Suppose -2614 - 2377 = 7*v. Let q be v/3 - ((-24)/9 - -3). Let z = q + 466. Does 12 divide z? True Let c = -2777 - -5172. Does 66 divide c? False Suppose 3*h - 3*z = -0*z + 786, 3*h = -3*z + 768. Let b = h - 39. Does 44 divide b? True Suppose 11 = -2*d - 19. Let s(c) = -3*c**2 + 45*c + 24. Let j(p) = 5*p**2 - 67*p - 37. Let i(k) = -5*j(k) - 8*s(k). Is 11 a factor of i(d)? True Let w(a) = -17*a - 24. Suppose -15*j = -13*j + 14. Let t be w(j). Suppose y - 66 = -5*u, 0 = 5*y - 3*u - 179 - t. Does 10 divide y? False Let k be 1*(-2 + -1) + 5. Let g be (-312)/182 - k/7. Let s(m) = 21*m**2 + 3*m + 3. Is s(g) a multiple of 27? True Let a = -20 + 9947. Is 8 a factor of a? False Let c = -11 + 15. Suppose 0 = t + c*t + 15. Does 36 divide (-437 + -1)/t + -2? True Suppose -3*s + 0 = 9, 2*u - 430 = 4*s. Suppose 6*f + u = 2*r + 3*f, -3*f = -3*r + 312. Is r a multiple of 13? False Let b(a) = a**2 + 19*a + 7. Let z be b(-19). Let n(j) = j**3 - 3*j**2 - 26*j + 7. Is 2 a factor of n(z)? False Let z = -591 - -593. Suppose -4*j = -3*a + a + 1080, z*a - 3*j = 1078. Is a a multiple of 67? True Let d(r) = r**3 + 3*r**2 - 10*r + 11. Let i be d(-6). Let b = i + 52. Suppose -119 = 14*w - b*w. Is 42 a factor of w? False Let w(n) = -2*n**3 + 59*n**2 + 42*n - 88. Is w(30) a multiple of 47? False Let x = -516 + 524. Suppose -4*z - 5*u = -1549, 2*z - 770 = 4*u - x*u. Does 23 divide z? True Let q(f) = 300*f + 17. Let h(a) = a + 2. Let x(d) = 2*h(d) - q(d). Does 48 divide x(-2)? False Suppose 4*o = -10 + 30. Let b be 7*(-7)/((-294)/12). Suppose -11 = -b*f + o. Does 8 divide f? True Does 3 divide (3 + (-18)/56 + (-6)/14)*4036? True Suppose 5*q = 3*n + 29339, 5*q + 3*n - 30118 + 797 = 0. Suppose 0 = -30*m - 826 + q. Is 24 a factor of m? True Does 9 divide (9360/(-1365))/(2 - 4664/2331)? True Let c(j) = 9*j - 2*j**2 + 54 + 4*j**3 - 28 - 24. Is c(3) a multiple of 7? True Does 7 divide 10/5 + -6 + -3 + 3913? True Suppose 162107 = 11*n - 39963. Is 22 a factor of n? True Suppose -w - 3*w + 6 = -5*q, -16 = 2*q - 5*w. Suppose -q*j = -3*n + j + 945, 2*n - 5*j = 630. Is 7 a factor of n? True Let p(w) = 49*w**3 - 4*w**2 + 43*w - 218. Does 68 divide p(5)? False Let s = -8554 - -8858. Is 4 a factor of s? True Suppose 2*u + 4*u = -7*u - 260. Let a(t) = 17 + 9 + 2*t + 38. Is a(u) even? True Let x = -443 - -452. Is 15 a factor of x - (-6)/((-24)/(-3964))? False Let m = -2307 + 2412. Is 5 a factor of m? True Let g(d) = 7*d**2 - 8*d - 2. Let v(k) = -6*k**2 + 9*k + 3. Let u(a) = a + 11. Let n be u(-5). Let r(o) = n*v(o) + 5*g(o). Is 18 a factor of r(9)? False Let q = 6417 + -5700. Is 8 a factor of q? False Let j = 2674 - -3653. Does 82 divide j? False Suppose 0 = p - 0*p - 3*m - 16, -3*p - 3*m = -96. Suppose -p*d - 20 = -33*d. Suppose 0 = 2*u + d*w - 0*w - 156, -w = 5*u - 417. Is u a multiple of 9? False Let y be 6 - (2 - 3/(-4 + 1)). Is 22 a factor of 6 + (-141)/(y/(-3))? False Let b(c) = 16*c + 852. Suppose 5*y - 20
{ "pile_set_name": "DM Mathematics" }
l**5/16 + 13*l**4/6 + l**2/2 - 15*l - 5. Let z(i) be the third derivative of k(i). Factor z(y). -(y - 45)**2/6 Suppose 0*z = 2*z - x - 3, -5*x = 3*z - 24. Suppose 3*o - 13 = -2*m, z*o - o = 6. Suppose -26 - 28 + 42 + 8*t + 4*t**m = 0. What is t? -3, 1 Let a = 883 - 871. Let u be 7/28 - ((-27)/a + 2). Let -5/4*f**2 - 3/4*f**3 + u*f + 0 = 0. Calculate f. -2, 0, 1/3 Let g(k) be the third derivative of -k**7/2520 - k**6/1080 - 9*k**3 + 80*k**2. Let w(c) be the first derivative of g(c). Factor w(q). -q**2*(q + 1)/3 Suppose 393*h + 223 = 9262. Let v(a) be the second derivative of -1/2*a**4 - 1/14*a**7 - 3*a**2 + 0 + 5/2*a**3 + 2/5*a**6 - 3/5*a**5 - h*a. Factor v(z). -3*(z - 2)*(z - 1)**3*(z + 1) Let x = 890 + -1741/2. Let r = 79/4 - x. Factor 1/2 + r*p - 1/4*p**2. -(p - 2)*(p + 1)/4 Let b(y) be the third derivative of -y**7/210 - y**6/5 - 17*y**5/15 + 10*y**4 + 18*y**2 - 4*y + 3. Suppose b(w) = 0. What is w? -20, -6, 0, 2 Let f(l) = l**3 + 26*l**2 + 88*l + 3. Let v be f(-22). Factor -914 - 908 + 1802 + 5*y**v + 5*y**2 - 20*y. 5*(y - 2)*(y + 1)*(y + 2) Let k(z) = -2*z**3 + z**2 - 1. Let c(r) = -87*r**3 + 123*r**2 + 68*r + 3. Suppose 0 = -23*w + 25*w - 10. Let s(p) = w*k(p) - c(p). Factor s(q). (q - 2)*(7*q + 2)*(11*q + 2) Let -88*w - 1128*w**2 + 90*w**4 + 113*w - 730*w - 735*w - 36*w**3 + 3*w**5 = 0. What is w? -30, -2, 0, 4 Let t(s) be the third derivative of s**8/392 - 39*s**7/490 + 181*s**6/280 - 139*s**5/140 - 33*s**4/8 + 65*s**3/7 + 2*s**2 - 4660*s. Solve t(q) = 0 for q. -1, 1/2, 2, 5, 13 What is q in -11245*q + 2505*q**2 - 879*q**3 + 4265*q**2 + 1690 + 23*q**4 + 7*q**4 + 34*q**3 = 0? 1/6, 2, 13 Let p(f) be the third derivative of f**7/735 - 9*f**6/140 - 76*f**5/105 - 3*f**4 - 128*f**3/21 - 8*f**2 + 302*f. Let p(r) = 0. What is r? -2, -1, 32 Let h(r) be the first derivative of 14/15*r**3 - 16 + 72/5*r + 1/20*r**4 + 6*r**2. Determine j, given that h(j) = 0. -6, -2 Find r such that -101*r + 273 + 251 - 29*r**2 + 435 + r**3 - 36*r - 794 = 0. -5, 1, 33 Let v(x) be the second derivative of 15*x + 0*x**4 + 0*x**2 - 1/75*x**6 + 0*x**3 + 1/25*x**5 + 0. Suppose v(g) = 0. Calculate g. 0, 2 Let o(q) = -q**2 + 1. Let w(m) = -2*m. Let s(b) = 3*b**2 - 21*b - 22. Let n(u) = s(u) - 5*w(u). Let y(l) = n(l) + 4*o(l). Factor y(r). -(r + 2)*(r + 9) What is u in -17/5*u + 17/5*u**3 - 4/5*u**4 + 4/5 + 0*u**2 = 0? -1, 1/4, 1, 4 Let a(m) = 13140*m**2 + 633*m - 25. Let k(x) = 8760*x**2 + 438*x - 17. Let n(c) = 5*a(c) - 7*k(c). Suppose n(j) = 0. Calculate j. -1/20, 2/73 Let k = -74 - -76. Suppose -15 = -k*t - 11. Factor 2*s**2 + 10*s**t - 18*s - 27*s**2. -3*s*(5*s + 6) Let o(t) = -2*t**4 - t**2 - 2*t + 2. Let w(p) = -24*p**4 + 1110*p**3 + 799*p**2 - 330*p + 10. Let u(v) = 5*o(v) - w(v). Determine i so that u(i) = 0. -1, 0, 2/7, 80 Let h = 16393/15 + -3278/3. Determine n so that -168/5*n - 7056/5 - h*n**2 = 0. -84 Let q(u) be the second derivative of u**5/20 + 13*u**4/12 + 20*u**3/3 + 470*u + 2. Determine p, given that q(p) = 0. -8, -5, 0 Let n(j) = -9*j**2 - 521*j - 496. Let m(c) = 55*c**2 + 3130*c + 2975. Let f(y) = 4*m(y) + 25*n(y). Suppose f(a) = 0. What is a? -100, -1 Let x(z) be the third derivative of z**6/300 + z**5/10 - 231*z**4/20 + 4477*z**3/15 + 15*z**2 - 37. Factor x(t). 2*(t - 11)**2*(t + 37)/5 Let l(t) be the second derivative of t**5/130 + 23*t**4/39 + 349*t**3/39 - 396*t**2/13 - 2342*t. Suppose l(v) = 0. What is v? -36, -11, 1 Let y(v) be the first derivative of 4*v**5/5 + 4*v**4 - 52*v**3/3 - 56*v**2 + 240*v + 1253. Factor y(s). 4*(s - 2)**2*(s + 3)*(s + 5) Let n = -5 - -3. Let i be ((-2)/(-6)*n)/((-6)/819). Solve 22*w**3 - 72*w**2 + 91 + 10*w**5 - i - 54*w**4 + 78*w**3 + 16*w = 0 for w. 0, 2/5, 1, 2 Let h(m) be the first derivative of 4*m - 12 + 1/12*m**4 - 1/6*m**2 - 4/3*m**3. Find j, given that h(j) = 0. -1, 1, 12 Let v(b) be the second derivative of -44*b**3 - 87*b - 3/100*b**5 + 0 - 43/20*b**4 + 726/5*b**2. Factor v(z). -3*(z - 1)*(z + 22)**2/5 What is y in -177/5 + 53/10*y + 1/10*y**2 = 0? -59, 6 Let f be (12/1200)/((-15)/(-25)). Let o(b) be the third derivative of -f*b**5 + 3*b**2 + 1/2*b**3 + 0*b + 1/12*b**4 + 0. Find d such that o(d) = 0. -1, 3 Let w(n) be the third derivative of -1/10*n**5 - 1/6*n**4 - 1/30*n**6 - 1/210*n**7 - 1/6*n**3 + 0*n - 35 - 2*n**2. Factor w(h). -(h + 1)**4 Let a(q) = 6*q**3 + 185*q**2 + 1115*q + 962. Let c(o) = -3*o**3 - 93*o**2 - 558*o - 480. Let i(h) = 6*a(h) + 13*c(h). Factor i(t). -3*(t + 1)*(t + 6)*(t + 26) Let x(z) be the first derivative of 22*z**2 + z**4 + 78 - 28/3*z**3 - 20*z. Find l such that x(l) = 0. 1, 5 Let n(u) be the third derivative of -8*u**2 + 0 - 1/390*u**5 - 19/13*u**3 + 29/78*u**4 - 2*u. Factor n(l). -2*(l - 57)*(l - 1)/13 Let t be -17 + (10/8 - (-148274)/8568). Factor -2/9*j**2 + t*j - 8/3. -2*(j - 4)*(j - 3)/9 Let j(s) be the second derivative of 3*s**5/40 + 17*s**4/8 - 16*s**3 - 60*s**2 - 2*s - 128. Factor j(k). 3*(k - 4)*(k + 1)*(k + 20)/2 Let v(k) = k**2 - 14*k + 16. Let f be v(13). Let r(h) = h + 1. Let n be r(-1). Factor -4*b - 6*b**4 + 9*b**2 - 3*b**4 + f*b**3 + n*b**3 + b. -3*b*(b - 1)*(b + 1)*(3*b - 1) Let q(z) be the first derivative of 5/12*z**4 - 52 + 47/9*z**3 - 20/3*z - 16/3*z**2. Let q(w) = 0. What is w? -10, -2/5, 1 Let m be (-1)/((-14)/(-882)) + 63. Find k such that 0 - 3/2*k**3 + 0*k**2 + m*k**4 + 3/2*k**5 + 0*k = 0. -1, 0, 1 Suppose 218*r = 211*r + 14. Solve 16*y - y**2 - 33 - 13*y - 3 + 4*y**r = 0. -4, 3 Let y(i) = 60*i**2 - 200*i - 660. Let o(z) = -49*z**2 + 200*z + 657. Let m(k) = 5*o(k) + 4*y(k). Determine w, given that m(w) = 0. -3, 43 Let z(n) be the second derivative of 5/2*n**3 + 3*n**2 + n**4 + 190*n + 0 + 3/20*n**5. Factor z(y). 3*(y + 1)**2*(y + 2) Let g(l) be the second derivative of 0*l**2 - 13*l + 2/135*l**6 + 1/27*l**4 + 4/45*l**5 - 4/9*l**3 + 0. Determine o, given that g(o) = 0. -3, -2, 0, 1 Let i(u) be the third derivative of -u**7/840 + u**6/24 - 53*u**5/240 - 85*u**4/48 - 4*u**3 + 2*u**2 - 6*u - 7. Factor i(w). -(w - 16)*(w - 6)*(w + 1)**2/4 Let x(k) be the third derivative of -k**6/120 + k**5/30 - k**4/8 - k**3 + 64*k**2. Let u(d) = d**2 + d. Let h(f) = -40*u(f) + 5*x(f). Find l such that h(l) = 0. -3, -2, -1 Let v = 6098425/3 + -2032807. Determine a so that 4/3 - v*a**2 + 2/3*a**3 - 2/3*a = 0. -1, 1, 2 Let l be (37 - (-9)/(-9))/2. Suppose -l = -4*d + 54. Solve -162/13*o**4 + 0 - d*o**3 - 80/13*o**2 - 8/13*o = 0. -1, -2/9, 0 Let v = 14/35965 - -14372/35965. Suppose 2*a + 44/5*a**2 - 28/5 - v*a**5 - 16/5*a**4 - 8/5*a**3 = 0. What is a? -7, -2, -1, 1 Let h(a) be the third derivative of a**6/240 + a**5/15 + a**4/3 - 4*a**2 + 74. Solve h(b) = 0 for b. -4, 0 Suppose 3*m - 4*o + 46 = 0, -18 = 3*m - 16*o + 19*o. Let g be 1/((-84)/(-56) - m/(-16)). Factor -4/7*x**4 + 0 + 0*x + 0*x**2 - g*x**3. -4*x**3*(x + 2)/7 Let g be (0 + 6/(-5))/(-73 - 83880/(-1152)). Solve g*s - 64/5 + 4/5*s**3 + 28/5*s**2 = 0. -4, 1 Suppose 3244*i + s - 5 = 3239*i, -4*s = -i - 20. Let n(j) be the first derivative of i*j**2 - 64/3*j**3 - 8*j**4 + 0*j - 45 - 4/5*j**5. Factor n(y). -4*y**2*(y + 4)**2 Suppose 0 = 5*p - 5*t + 10, 25 = 5*p + 7*t - 5*t. Let g(y) = 5*y**2 + 100*y + 2595. Let x(o) = 2*o**2 - o - 3. Let n(m) = p*g(m) - 6*x(m). Factor n(v). 3*(v + 51)**2 Suppose -168*m**2 + 5*m**3 + 7*m**3 - 14*m**3 + 168 + 701*m - 699*m = 0. Calculate m. -84, -1, 1 Let q(r) be the third derivative of -r**5/12 - 1435*r**4/24 - 475*r**3 - 1651*r**2. Factor q(x). -5*(x + 2)*(x + 285) Let v be 1342/(-198) - -10 - 2/9. Let g(r) be the third derivative of -5/6*r**v + 0*r + 0 - 1/300*r**5 + 9*r**2 - 1/12*r**4. Factor g(k). -(k + 5)**2/5 Let o(u) be the first derivative of -u**4/26 + 298*u**3/39 + 1240*u**2/13 + 5024*u/13 + 3747. Factor o(l). -2*(l - 157)*(l + 4)**2/13 Let w be ((-8)/(-6))/(6*1/63). Let d be 12/w - ((-36)/(-42))/(-3). Find j such that -2/7*j**2 - d + 10/7*j = 0. 1, 4 Let t(y) be the first derivative of y**8/1890 - 19*y**7/1260 + 7*y**6/54 - 49*y**5/540 - 30*y**3 - 99. Let g(c) be the third derivative of t(c). Factor g(w). 2*w*(w - 7)**2*(4*w - 1)/9 Let i = 31 - 29. Let -32*m - 6*m**4 - 26*m**3 - 22*m**2 - 2*m**3 - 8 - 21*m**2 - 3*m**i = 0. What is m? -2, -1, -2/3 Suppose -3*j + 3*n - 6 = 0, -2*j + n = j - 2. What is a in 7*a - a**j - 4*a + 6*a**2 + 0*a**2 = 0? -3/5, 0 Let m(l) be the secon
{ "pile_set_name": "DM Mathematics" }
8) - (sqrt(108) + 1 + -1)**2))*-2. -208 + 12*sqrt(3) Simplify (2*(0 + sqrt(475) + (sqrt(475) - (5 + 1 + sqrt(475)))))**2. -240*sqrt(19) + 2044 Simplify 2*(-5*sqrt(85)/((sqrt(5) + sqrt(25)/sqrt(5))*6))**2. 425/72 Simplify (3*(sqrt(192) - (4 + sqrt(192) + -1 + sqrt(192))))**2 - (sqrt(3)*-1*3 + (sqrt(24)*-1)/sqrt(8) + 4). 436*sqrt(3) + 1805 Simplify (sqrt(128) + ((sqrt(128) - (sqrt(128) - (sqrt(128) - 2*sqrt(128)*3 - sqrt(128))))**2 - sqrt(128)) - sqrt(128) - 6*(sqrt(128) + 3)**2) + -1. -296*sqrt(2) + 3785 Simplify 5 + (5 + 3 + sqrt(117) - (sqrt(13) + 2 + -4 + 4*-1*sqrt(13) + sqrt(13))**2). -43 - 5*sqrt(13) Simplify -2 + -1*sqrt(147) + sqrt(147) - (5 + (sqrt(6)/sqrt(72))**2). -85/12 Simplify (6*((sqrt(104) - (sqrt(104) + (sqrt(104) - -1*sqrt(104))))*-4)/(sqrt(72)*5)*-3)**2. 29952/25 Simplify (-1*(-2*sqrt(104)*-1 - sqrt(104))/(-1*sqrt(800)))**2. 13/100 Simplify ((sqrt(234) - (sqrt(234) - sqrt(234)*-2))/(4*sqrt(162)))**2. 13/36 Simplify (-3 + sqrt(567)*-1)**2 + 2*(1 + sqrt(567) - sqrt(567))**2. 54*sqrt(7) + 578 Simplify 5 + (sqrt(192) + -1 + 2 - sqrt(192) - (-3*(0 + sqrt(192)) - sqrt(192)))**2. 64*sqrt(3) + 3078 Simplify -6*((sqrt(1700)*-4)**2 + sqrt(1700)) + -2 + (sqrt(17) - (sqrt(136)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)) + sqrt(17))). -163202 - 181*sqrt(17)/3 Simplify 2 + (1*(sqrt(252) - (sqrt(252) + -3))*1)**2. 11 Simplify ((2*1*sqrt(1216))**2 - (sqrt(1216) - (-1 + (sqrt(1216) - (-3 + sqrt(1216)))))) + 0. -8*sqrt(19) + 4866 Simplify (-6*(sqrt(684)*2 + 0 + (sqrt(684) + 0)*-1)*-4)**2. 393984 Simplify 3 + 1 + (5 + (5 + (sqrt(325) - (-1*sqrt(325) + sqrt(325))))**2)*2. 100*sqrt(13) + 714 Simplify (sqrt(156)*-4*-3)/((2*sqrt(24))/sqrt(2)). 6*sqrt(13) Simplify ((sqrt(153) - (sqrt(153) + sqrt(153)*-2 + -4)) + -4 + (sqrt(153) - (sqrt(153) + -1 + 5)) + 6*((sqrt(153) - sqrt(153)*2) + sqrt(153)))**2*4. -192*sqrt(17) + 2512 Simplify (2*(4 + (sqrt(153) + (sqrt(153) + 1 + -3*sqrt(153) + sqrt(153) - sqrt(153)))*1 + -1))**2. -96*sqrt(17) + 676 Simplify -2 + (sqrt(77) - 2*sqrt(77))/sqrt(7) - ((sqrt(11)*2*3)**2 + 0). -398 - sqrt(11) Simplify (sqrt(2057) - -1*sqrt(2057)*-3) + sqrt(2057)*-3*-5. 143*sqrt(17) Simplify ((sqrt(1980) + -4*sqrt(1980))*-2 + sqrt(1980))/((sqrt(30) + 2*sqrt(1920))/sqrt(6)). 42*sqrt(11)/17 Simplify (1*(sqrt(147)*2*5 - (-1 + sqrt(147) + 2)) + 4 + 3)**2. 756*sqrt(3) + 11943 Simplify (sqrt(40)/(-1*-2*sqrt(10)))/((sqrt(288) - sqrt(288)*4)*-5). sqrt(2)/360 Simplify (sqrt(468) - (sqrt(468) + sqrt(468) + 2))**2 + -5 + ((sqrt(26) - (2*sqrt(130))/sqrt(5)) + sqrt(26))/sqrt(2). 24*sqrt(13) + 467 Simplify -1*(sqrt(100)/sqrt(5))/sqrt(10) - sqrt(18)/(sqrt(9)*2)*-4. sqrt(2) Simplify -2*(sqrt(1300)*1 + 3)*6 + -2. -120*sqrt(13) - 38 Simplify sqrt(30)/(sqrt(36)/(-3*sqrt(6))) - (3 + sqrt(5)*4)*-3. 9 + 9*sqrt(5) Simplify ((sqrt(17) + ((-1*sqrt(17) + 3)**2 - sqrt(17)) - sqrt(170)/(sqrt(10)*1)) + ((sqrt(153)*2)/sqrt(9) + 4 + sqrt(17)*-1)**2)*2. 2*sqrt(17) + 118 Simplify 4 + (sqrt(2) - (sqrt(18)/(sqrt(45)/sqrt(5)))**2) + 0 + sqrt(162) + sqrt(18) + -4. -2 + 13*sqrt(2) Simplify (6*(-1 + sqrt(320)))**2 - sqrt(35)/(sqrt(1008)*3). -20737*sqrt(5)/36 + 11556 Simplify (sqrt(50) - (sqrt(50) - sqrt(800))*-5)/(sqrt(20)/sqrt(2)*4)*4. -14*sqrt(5) Simplify 1*(-2 + -1 + sqrt(208) + -3 + (-3*sqrt(1053))**2). 4*sqrt(13) + 9471 Simplify 6*((sqrt(76) + sqrt(76)*5)*-3 + sqrt(76))/(-4*sqrt(484)). 51*sqrt(19)/22 Simplify 2 + -5*(3 + -6*(1 + sqrt(2) + sqrt(2))) + -4. 13 + 60*sqrt(2) Simplify ((sqrt(20) - (-2*sqrt(80)/sqrt(4) - sqrt(20)))*6)/(sqrt(110)/(sqrt(1100) + 1*sqrt(1100))). 480*sqrt(2) Simplify (1 + -6*(sqrt(112) + -1 + sqrt(112))*1)**2. -672*sqrt(7) + 16177 Simplify (-4 + (0 + 2*sqrt(245) - (1 + -2*sqrt(245))))**2 + 1 + 2. -280*sqrt(5) + 3948 Simplify (((sqrt(378) + (sqrt(378) - ((sqrt(378)*-3 - sqrt(378)) + sqrt(378))) + sqrt(378))*5 - sqrt(378) - sqrt(378))/(-3*sqrt(6)*-2))**2. 1372 Simplify ((sqrt(300) + sqrt(300)*2)*5 + sqrt(300) - (-2*(-1 + sqrt(300)) + sqrt(300)))**2*3. -2040*sqrt(3) + 260112 Simplify (sqrt(475) - (-1 + sqrt(475))**2 - sqrt(171)*-3) + (((-1*sqrt(931))**2 - sqrt(931)) + sqrt(19) - (-5 + sqrt(19) + -1 - sqrt(19))) + 3. 18*sqrt(19) + 464 Simplify (sqrt(126)/(-2*sqrt(7)))/((sqrt(72)/sqrt(2))/sqrt(4)). -sqrt(2)/2 Simplify sqrt(500)/sqrt(160) + sqrt(800) + 0 + sqrt(800) + -3 + 5. 2 + 165*sqrt(2)/4 Simplify 2*(-2 + (sqrt(75)*-2)**2)*6. 3576 Simplify 5*sqrt(5)*-1*5 - (sqrt(4860) - sqrt(4860)*2)/sqrt(12). -16*sqrt(5) Simplify ((sqrt(567) - (sqrt(567) - -2*sqrt(567) - sqrt(567))*-4 - sqrt(567)) + sqrt(567))/(-6*sqrt(144) + sqrt(9)*-2*5). -27*sqrt(7)/34 Simplify 0 + 4 + 2 + sqrt(68) + (sqrt(68) - (-1 + sqrt(68) + -2)). 2*sqrt(17) + 9 Simplify (sqrt(99) + (5*(sqrt(99) + sqrt(99)*2) - sqrt(99)))/(sqrt(441) + sqrt(441)*-3) + 1. -15*sqrt(11)/14 + 1 Simplify 2*((sqrt(162)/sqrt(3))/sqrt(2) + -4 + -2). -12 + 6*sqrt(3) Simplify (1*(2*sqrt(2240) - sqrt(2240)))/(sqrt(605)*1 + -1*sqrt(245) + sqrt(245)) + 4. 8*sqrt(7)/11 + 4 Simplify 5*(3 + 2*(sqrt(162) - 3*sqrt(162)))**2. -1080*sqrt(2) + 13005 Simplify (-1 + -1 + sqrt(275) + sqrt(275) + -1 + 2*sqrt(275) + 4)**2. 40*sqrt(11) + 4401 Simplify ((sqrt(1815)*-2*3)/(sqrt(147)*1*-5))**2. 4356/245 Simplify 2*sqrt(304)*3*-4 - ((sqrt(304) + 0 + sqrt(304) + 1)**2 + 1*sqrt(304)*-6). -1217 - 88*sqrt(19) Simplify 4*(sqrt(76) - (sqrt(76) + sqrt(76) + 1*sqrt(76)*-1))/((1*sqrt(24))/sqrt(6)). 0 Simplify (sqrt(27)*1)/sqrt(9) - (sqrt(432) + sqrt(432) + -1 + sqrt(432)) - (((sqrt(243)*1 + sqrt(243))*-3)**2 + sqrt(243) + (-1 + sqrt(243) - sqrt(243)) + -4). -8742 - 44*sqrt(3) Simplify -1 + (sqrt(6)/sqrt(2))**2 + sqrt(3) + 4 + (sqrt(108) - sqrt(108)*-1)**2 + -2. sqrt(3) + 436 Simplify (4*(sqrt(108) - (sqrt(108)*-3 + sqrt(108)))/sqrt(6))/(-6*2*sqrt(36)). -sqrt(2)/2 Simplify (-1*(-5*(-3 + sqrt(1584)) + -2 + 1))**2*2. -3360*sqrt(11) + 79592 Simplify (-4*(-3 + -1 + sqrt(539) + sqrt(539))*-4)**2. -28672*sqrt(11) + 556032 Simplify (sqrt(3) + 6*(sqrt(6)/sqrt(2) - sqrt(3)) + sqrt(33)/(sqrt(66)/sqrt(6)))**2 + (sqrt(3) + sqrt(108) + -1 + (-2*sqrt(3) + 5 - sqrt(3)))**2. 32*sqrt(3) + 76 Simplify (sqrt(1584)*2*-2 + 2 + sqrt(1584)*-2)**2*4. -1152*sqrt(11) + 228112 Simplify 0 + (sqrt(45))**2 - 2*-1*sqrt(5) - (((sqrt(225)/sqrt(5))**2 - sqrt(5)) + -1). 1 + 3*sqrt(5) Simplify (6*(sqrt(875) - 1*sqrt(875)*3)/(sqrt(448) - (-6*sqrt(448)*2 - sqrt(448))))**2. 1125/784 Simplify ((sqrt(209)*-2 + sqrt(209) + sqrt(209))*4 - (sqrt(209) + sqrt(209)*-1*1))/((sqrt(11) - 2*sqrt(11))*1*2). 0 Simplify ((-1 + 2*sqrt(288) + 4*-1*sqrt(288))**2 - (sqrt(288)*-2*-1 + -1))*2. 48*sqrt(2) + 2308 Simplify (sqrt(637)*-4)**2 + -5 + 6*(-3 + sqrt(637))**2. -252*sqrt(13) + 14063 Simplify (((sqrt(3) - sqrt(108)) + sqrt(3))*-5 + (-2 + sqrt(21)/sqrt(7) - sqrt(3)))*-1. -20*sqrt(3) + 2 Simplify ((sqrt(114)*-2*-2)/(sqrt(6) + (sqrt(6) - sqrt(54)*-5))*2)**2. 1216/289 Simplify ((sqrt(44) + sqrt(484)/(-1*sqrt(11)))*-4)/(sqrt(400)*-2*4). 0 Simplify (1*(sqrt(2299) + 1 + sqrt(2299)*3) + 1)**2. 176*sqrt(19) + 36788 Simplify (-1 + sqrt(63)*2 + (sqrt(126)/sqrt(2))/sqrt(9))*6*3. -18 + 126*sqrt(7) Simplify -2 + -3 + 2*(sqrt(17) - sqrt(17)*1) + sqrt(17) + ((sqrt(2057)*-3)**2 - sqrt(2057) - sqrt(17)) + -3. -11*sqrt(17) + 18505 Simplify -1 + 2*((-1*sqrt(1008) - sqrt(7)) + 1*sqrt(567))*4. -32*sqrt(7) - 1 Simplify 5 + -3*((sqrt(2736) + -2)*-6 - (3 + -1*sqrt(2736))**2). 8204 Simplify ((-1 + 2 + sqrt(1872))*-5 - (-1 + sqrt(1872) + 0 + -5))**2. -144*sqrt(13) + 67393 Simplify ((sqrt(272) + 2)*6 + (3 + sqrt(85)/sqrt(5) + sqrt(17) - sqrt(17) - (sqrt(153) + -1)))**2. 704*sqrt(17) + 8484 Simplify (2*sqrt(3240) + -1*sqrt(1440))/(6*1*sqrt(72)). 2*sqrt(5)/3 Simplify (2*(sqrt(1100) + -1)*-5 + 1 + 2)**2. -2600*sqrt(11) + 110169 Simplify (sqrt(84)*5)/((sqrt(252)/sqrt(4))/sqrt(9)). 10*sqrt(3) Simplify (sqrt(252)/(sqrt(7)*1))/sqrt(12) + ((sqrt(243) + 1)*2)**2. 73*sqrt(3) + 976 Simplify ((2*sqrt(120))/sqrt(4) + 4*(sqrt(30)*1 + sqrt(30)))/((sqrt(42)/(sqrt(7)*1) + sqrt(6))*5). sqrt(5) Simplify (-3*(sqrt(85) - 2*sqrt(85)*-3))/(4*sqrt(500)*-2). 21*sqrt(17)/80 Simplify ((sqrt(2057) + (2*sqrt(2057) + -1 - sqrt(2057)))*1 - (((sqrt(2057)*-2*5 - sqrt(2057)) + sqrt(2057) - sqrt(2057)) + 1))**2. -572*sqrt(17) + 347637 Simplify -6*((sqrt(130)*-1 + sqrt(130))*-1)/(sqrt(1210) - sqrt(1210)*-3). 0 Simplify (2*sqrt(1573) + 3)**2 - 1*((sqrt(1573) + 1)**2
{ "pile_set_name": "DM Mathematics" }
be u(7). Let j = 5 - i. Let l(n) = -n**3 + 13*n**2 - n + 17. What is the lowest common multiple of l(13) and j? 8 Let m be (-4)/10 - 473/5. Let c = -12221/3 + 4068. Find the common denominator of (0 + -3)/((-35)/m) and c. 21 Let j be 2 + (-18 - -14) + (-1798)/(-887). Let o = j + -79375/15966. Calculate the common denominator of o and -56/9. 18 Suppose -2*z - 164 = 2*z. Let s = z - -71. Let x(m) = -m**3 + 7*m**2 - 8*m - 7. Calculate the lowest common multiple of x(5) and s. 30 Let m = -377 - -594. Let k = -187 + m. What is the smallest common multiple of 4 and k? 60 Suppose -68*z = -44*z - 13824. What is the lowest common multiple of z and 32? 576 Let k(f) = f**3 - 55*f**2 + 6*f - 327. Calculate the lowest common multiple of k(55) and 927. 927 Let b be (16/(-24))/(3/(-18)). Suppose b*m = 8*m - 12. Suppose 3 + 16 = m*j + h, 4*h - 28 = -4*j. Calculate the least common multiple of 10 and j. 30 Find the common denominator of (1 + 150/12)*(-6)/(-381) and 31/6. 762 Let n = -273 + 238. What is the common denominator of 33/97 and (-20)/n*(-1 + 94/(-8))? 679 Suppose 2*m + 23 = 5*h, -2*h + 3 = -5*m - 2. What is the smallest common multiple of m and ((-4)/(-3))/(10/105)? 14 Let x = -7864 + 7894. Calculate the least common multiple of 1620 and x. 1620 Let f = -4871/46332 - -25/324. Calculate the common denominator of 151/234 and f. 2574 Let m be (-2)/(-5) - (-48)/(-20). Let n(v) = -3*v**3 - 4*v**2 - 3*v - 2. Suppose -10 = 4*z - 46. What is the smallest common multiple of n(m) and z? 36 Let g = -7044 + 7074. Let m(c) = -c**3 - 7*c**2 + 9*c + 11. Let q be m(-8). Calculate the lowest common multiple of q/(2 - (-9)/(-5)) and g. 30 Let f = 4115/6128 - -54/383. Calculate the common denominator of -27/556 and f. 2224 Let z = 48702 - 7013039/144. Calculate the common denominator of z and 125/192. 576 Suppose 80*j - 77*j = -180. Calculate the common denominator of (-5)/(j/8) + (-909)/(-540) and 2*(-1 - 22/8). 20 Suppose 8*p = 3*p - 3*b - 35, -3*p = -3*b - 3. Suppose -1010 - 740 = 25*v. Calculate the common denominator of -5/4 and (-102)/p*v/(-42). 4 Let r = -10819/380 - -426/19. Let c = 40 - 26. Find the common denominator of r and ((-1)/(-2))/(c/(-142)). 140 Suppose 130*b + 576 = 142*b. Calculate the smallest common multiple of b and 684. 2736 Let s(o) = 4*o**2 - 2. Suppose 7*p = 4*p - 3. Let j be s(p). Suppose 4*n + j*g - 90 = 0, -4*n + n + 57 = 5*g. What is the lowest common multiple of n and 18? 72 What is the lowest common multiple of 9 - -21 - (-32 + 10) and 70? 1820 Suppose -1356 = -4*x - 3*b, 2*b + b = 2*x - 696. Calculate the least common multiple of x and 108. 2052 Suppose -240*k + 1163820 = -2*k. Calculate the smallest common multiple of k and 16. 39120 Suppose 0*g - 6*g = 12. Let f be (5 - g) + 0*(-4)/12. Calculate the common denominator of ((-204)/(-30) - f) + (-994)/80 and -11/38. 152 Suppose 4*t = -20, t - 3*t = -4*g - 38. Let o(w) = 2*w**3 + 16*w**2 + 3*w + 26. What is the lowest common multiple of o(-8) and (-7)/(-3) + (-8)/g? 6 Let b be (-10)/(-4)*(-16)/(-40). Find the common denominator of -23/2 and 12/((-25056)/(-60))*(-11)/b. 174 Calculate the lowest common multiple of (0 - 6) + (64736/(-17))/(-28) and 520. 520 What is the lowest common multiple of (-5414 + -2)*(-16)/64 and 20? 13540 Let h be 14/(3/((-9)/2)). Let l = -19 - h. Let z(v) = -v**2 - 11*v - 29. What is the smallest common multiple of z(-6) and l? 2 Suppose -6*a + 11*a - 3*u = -7, -2*u = -2*a - 6. Suppose 0 = -21*w + 22*w + 2*i - 35, 0 = -2*w + 2*i + 100. What is the smallest common multiple of a and w? 45 Let h = -167 + 5373/32. What is the common denominator of 11/1576 and h? 6304 Let p be 2034/(-14) - (-2)/7. Suppose 0 = -53*d + 65*d + 1344. Let c = d - p. What is the smallest common multiple of 3 and c? 33 Let y(l) = -l**2 + 16*l - 32. Let x be y(13). Calculate the lowest common multiple of -5 + 10 - x - -22 and 35. 140 Let h = -1095/1729 - -53/266. What is the common denominator of h and 103/416? 2912 Let u be 14/(-5)*5*3. Suppose 291 - 189 = 2*c. Let h = u + c. Calculate the lowest common multiple of 7 and h. 63 Suppose -28*t = 10*t - 570. What is the least common multiple of t and (-4)/(-10) + 365/25? 15 Let l = -17 - -19. Find the common denominator of (21/(-84))/(18/(-848)) + -5 and (-4)/(((-312)/(-76))/l). 117 Let j(i) = 4*i**2 - i + 2. Let q be j(-8). What is the lowest common multiple of 1 and (-68)/(-510) - q/(-30)? 9 Let h(u) = -u**3 + 14*u**2 + 36*u - 24. Suppose 3*s - 19 - 2 = -3*y, -5*s - 45 = -5*y. Calculate the least common multiple of y and h(16). 40 Suppose 37*h - 5*h + 5824 = 0. Calculate the common denominator of 430/h - (4 - 7) and 53/91. 91 Let m(n) = -10*n**2 - 17*n**2 + 22*n**2 + 3 + 34*n + 8. Calculate the lowest common multiple of 12 and m(7). 12 Let t(p) = -2*p**3 + 14*p**2 - 17*p - 8. Let w be t(6). What is the common denominator of ((-3)/(-36))/(1/29) and (2/264)/(w/(-6042))? 132 Let k = -9856066737758 - -32570121595992890341/3304576. Let d = -2/25817 + k. Find the common denominator of d and 87/28. 896 Suppose 3*d = 2*d + 5*v + 50, 4*v - 248 = -4*d. Find the common denominator of -6 + 3 - (-666)/d and 4/8 + (-62)/(-3). 30 Suppose -200 = -y - 9*y. Let u = -19 + 14. What is the lowest common multiple of (-1)/(7 + -3 + u) and y? 20 Suppose -4*p + 2*h = 14, -2*p + 11 + 0 = 5*h. Let y(g) = 7*g**2 + 5*g + 4. What is the lowest common multiple of 4 and y(p)? 44 Let l(p) = 18*p + 1988. What is the smallest common multiple of l(35) and 2? 2618 Find the common denominator of -53/992 and 2/12 - (-26709)/(-33408). 3968 Let n = 24 - 11. Let a = 5367 - 5365. Calculate the smallest common multiple of n and a. 26 Let k = 96 + -63. What is the least common multiple of (-16)/88 - (-336)/k and 9 + -1*2/2? 40 Calculate the lowest common multiple of (256/96)/((4 - 3 - -1)/54) and 120. 360 Suppose -198 = -2*a + 4*s, 0 = -3*a - 3*s + 563 - 212. Calculate the smallest common multiple of a and 296. 888 Let p = 1666 - 1665. Calculate the lowest common multiple of p and 1252. 1252 Let o be (14/12)/(-7) + 464377/(-2610). Let m = o + 2696/15. What is the common denominator of 29/5 and m? 45 Let h = -123/95255 - 7925217/1165540180. Find the common denominator of h and 57/14. 12236 Suppose 209*n + 16435 = 92238 + 13649. Suppose 0 = 3*d, q - 3*d = 4 - 1. Calculate the least common multiple of n and q. 1284 Let c(q) = q**3 + 20*q**2 - 2*q - 25. Let r(y) = -6*y - 87. Calculate the least common multiple of c(-20) and r(-18). 105 Let h = -2218113/1144 - -26752314311/13676520. Let i = h - -2/3985. What is the common denominator of i and 67/92? 276 Suppose 3035 = 5*p + 3*z - 4225, -4*p + 4*z + 5776 = 0. What is the least common multiple of 1610 and p? 14490 What is the least common multiple of 445 and ((-735)/(-63))/(5/15)? 3115 Suppose 28241 = -29*p + 31692. What is the lowest common multiple of p and 204? 1428 Suppose 0*f + f - 216 = 2*c, -f + 5*c = -231. Let q = f + -194. Calculate the lowest common multiple of (-19)/(-1) + 1 + 1 and q. 84 Let c = 2599 + -2595. Suppose -3*m - 9 = 4*x + 30, 12 = -4*x. Let b(t) = -t + 7. What is the least common multiple of c and b(m)? 16 Suppose -1328*h = -1330*h - 212 + 1172. Calculate the least common multiple of 40 and h. 480 Let d(c) = -150*c + 5913. Calculate the smallest common multiple of 18 and d(27). 3726 Let k be (-3718)/(-15) - (-10)/75 - -2. Find the common denominator of -11/34 and (4450/k)/(14/(-5)). 238 Let j(d) = -3*d + 42. Let t be j(13). Suppose -t*l + 12 - 3 = 0. Let r = -12 + 28. Calculate the lowest common multiple of l and r. 48 Suppose -3*i + b + 3310 = 0, -b + 6 = 1. Let f = 5506/5 - i. Find the common denominator of 2/(441/(-129) - -3) and f. 45 Let l = -1/6921 + -671317/138420. Calculate the common denominator of l and (-63)/(-155)*150/60. 620 Let j(l) = l**2 - 34*l - 46. Let y be j(-14). Let a = y + -3761/6. What is the common denominator of -54/5 and a? 30 Let b = -7349/8020 + -2/6015. Let z be 1/10*200270/(-20). Let q = z - -1006. Calculate the common denominator of b and q. 60 Let a = 18 + -4. Let b = 20 - a. What is the lowest common multiple of b and ((-4)/(-5))/(58/1595)? 66 Let a(s) = -s**3 - 7*s**2 - 2*s - 10. Let m be a(-7). What is the common denominator of (15/(-126))/(31/8 - m) and 59/63? 63 Let x = -73 - -73.
{ "pile_set_name": "DM Mathematics" }
Let m(v) = d*s(v) + t*p(v). Determine m(4). 4 Let d(r) = -r**3 - 2*r**2 - 2*r. Let b(s) = -s - 4. Let q be b(-6). Let m = 5 - q. Let l = -5 + m. What is d(l)? 4 Let u(k) be the first derivative of k**3/3 - 7*k**2/2 - 6*k - 160. Let m be 5 - (0 + 0 - 1). What is u(m)? -12 Let j(f) = 2*f**2 + 2*f + 3. Let h be j(-2). Let c be 4/6*9/3. Let z(v) = 1 + h + c - v. Calculate z(5). 5 Let l(k) = -9*k + 4. Let u(j) = -5*j + 2. Let b(f) = -3*l(f) + 5*u(f). Let g = -4 + 7. Determine b(g). 4 Let x(n) be the first derivative of -1/4*n**4 + 0*n**2 - 5/3*n**3 + 4 + 4*n. What is x(-5)? 4 Let y(t) = 199*t**3 - 198*t**3 - 3 + 4 + 2*t + t**2 + 0. Suppose -5*z + 4*p - 24 = -z, -p = -4. Calculate y(z). -7 Let f(l) = -6*l - 7. Let i be f(-2). Let h(g) = -g**2 + 5*g + 1. What is h(i)? 1 Suppose 0 = 3*w - w + 8. Let d(q) = 2*q**2 + 7*q + 6. Determine d(w). 10 Let l(o) = 4*o**2 - 4*o - 2. Let p(a) = -11*a**2 + 11*a + 6. Let c be 1*(-12)/(-10)*5. Let i(u) = c*p(u) + 17*l(u). Suppose 2*b - 6 = -2. Give i(b). 6 Let r(h) = 9 - 1 - 7 - 7*h. Let o(k) = -k**3 - k**2 + k - 1. Let f be o(1). Let n(q) = -29*q + 5. Let w(s) = f*n(s) + 9*r(s). Calculate w(1). -6 Let b(y) = 5*y + 2. Suppose 0 = 2*r + u - 6, -3*r + 20 = -4*u. Suppose -7 - 1 = r*i. Give b(i). -8 Let d(q) = 6. Let v(g) = g + 13. Let z(y) = 5*d(y) - 2*v(y). Calculate z(5). -6 Let x(d) be the third derivative of -d**4/24 - 13*d**3/6 - 7*d**2. What is x(0)? -13 Let m(g) = 4*g**3 + 3*g**2 - 14*g**3 + 11*g**3 + 1 - 2. Let j be m(-3). Let q(p) = 10*p + 1. Calculate q(j). -9 Suppose 6*n = 5*n - 1. Let d(v) = -6*v**2 - v. Give d(n). -5 Suppose q + 40 = -7*q. Let a(m) = -m**2 - 5*m + 6. What is a(q)? 6 Let v be (-8)/(-16)*(1 + -1). Suppose a + 0*a = i + 2, 5 = a. Let y = v - i. Let l(d) = d**3 + 5*d**2 + 4*d. Determine l(y). 6 Let l(f) = -2*f - 3. Let p be (5/15)/((-2)/(-30)). Let i(y) = 3*y + y - 3*y + p. Let q be i(-7). Determine l(q). 1 Let v be (-1 + 12 + -2)*2. Suppose -u - 5*y = -v, 2*y = 4*u - 2*y + 48. Let o = u - -8. Let s(n) = -2*n. What is s(o)? -2 Let c(n) = -2*n - 13. Let m be c(-9). Let t(r) = -2 - 4*r + m*r - 1. Suppose l = -0*l + 3. What is t(l)? 0 Suppose -5 = -a, -a = c - 0*c - 9. Let h = 5 - c. Let b(o) = 2*o**3 + o**2 - o + 1. Calculate b(h). 3 Let j(s) be the third derivative of s**7/360 + s**6/720 - s**4/12 - 2*s**2. Let r(p) be the second derivative of j(p). What is r(-1)? 6 Let s(r) = 3*r**2 + 1. Let z be (-2)/8 - 10/(-8). Let a be s(z). Let m(p) = 5*p**2 + 2*p - p**3 - 6*p + 3 + 3. Calculate m(a). 6 Let y = 13 + -4. Let h(x) = -3*x**3 - 3*x**2 + 6*x + 8. Let z(m) = -13*m**3 - 11*m**2 + 23*m + 32. Let a(i) = y*h(i) - 2*z(i). Give a(-6). -4 Let c(t) be the third derivative of -1/8*t**4 - 1/30*t**5 + 0 - t**2 + 0*t**3 + 0*t. What is c(-2)? -2 Let m(j) = -j**2 - 6 + 4*j - 12*j + 1 + 0. Determine m(-7). 2 Let b(p) = 4*p - 4 + 4*p + 2*p - 5*p. Give b(3). 11 Let i(y) = -1 + 0*y**2 + 5*y + 3*y**2 - 12*y**3 + 11*y**3. Give i(4). 3 Let y = 12 - 11. Let g(w) = -5 - w + 1 + y + 4. Calculate g(6). -5 Let v be ((-2)/(-5))/(5/25). Let o(y) = -2 + y**v + 3*y + 0 + 2*y + 0*y. Calculate o(-3). -8 Let f(t) = -t**2 + 7*t - 5. Let a(o) = -3*o**2 + 22*o - 16. Let g(b) = 2*a(b) - 7*f(b). Let l = -10 - -20. Let z = l + -6. Give g(z). -1 Let n(f) = 3*f**2 - 4*f + 2. Suppose -3*r + 1 + 5 = 0. What is n(r)? 6 Let s(v) be the third derivative of 0 + 0*v**3 + v**2 - 7/24*v**4 + 0*v. Calculate s(1). -7 Let w(o) be the second derivative of o**5/4 - o**4/12 - o**3/6 + o**2/2 - 5*o. Let m(k) = k**2 - k + 1. Let l be m(-2). Suppose l = 5*q + 2. Give w(q). 4 Let k(m) = -6*m - 4. Let x(i) = 7*i + 4. Let d(t) = t**2 - 14*t - 10. Let b be d(15). Let y(z) = b*x(z) + 6*k(z). Let g be 2 - (-1 + -1 + 1). Give y(g). -7 Let f(d) = 2*d + 3. Let l be (-4)/(-3) - 2/(-3). Let y be (7 + -11)/(l*1). Calculate f(y). -1 Let w(x) = x**3 - x + 1. Suppose -4*z - 3 = 4*s - 23, 5*z - 5*s = -15. Determine w(z). 1 Let c be (2/4)/(12/(-24)). Let n(b) be the third derivative of 3*b**6/40 + b**5/60 + b**4/12 + b**3/6 - b**2. What is n(c)? -9 Let y(k) be the third derivative of k**6/120 - k**4/12 + k**3/3 + k**2. Let o be 6/4*(2 - -2). Suppose d - 3*z = -4 - o, 0 = 5*z - 20. Give y(d). 6 Let n(z) be the third derivative of -5*z**4/8 + z**3/6 - 8*z**2. Give n(-1). 16 Let j(h) = -h**2 - 5*h + 5. Suppose -14 = -53*l + 55*l. Give j(l). -9 Let p(f) = -f + 5*f**3 - 8*f**2 - 4*f**3 + 6*f**2. Calculate p(2). -2 Let s(i) = i + 1. Suppose 2*x - 16 = 2. Let b = 10 - x. Give s(b). 2 Let y be 7 + (-3 - (3 + -1)). Let h(c) = 4*c**3 - 2*c**2 - 1. Determine h(y). 23 Suppose 0*h + 2*h + 18 = 2*o, 2*h = o - 13. Suppose -3*m = -2*m + x - 8, -o*x + 25 = 0. Let j(p) = p**3 - 2*p**2 - 4*p + 2. What is j(m)? -1 Let r(p) be the first derivative of p**2/2 - 5*p + 6. Determine r(0). -5 Let j(d) = d**3 + 2*d**2 - 3*d + 4. Let g = 4 + -7. Let a be j(g). Let w(t) = t**3 - 5*t**2 + 5*t - 4. What is w(a)? 0 Let n(f) be the third derivative of f**5/60 + f**4/8 - f**3/2 - f**2. Suppose 0*j + 45 = 3*j. Let y be (-3)/j + 38/(-10). What is n(y)? 1 Suppose 0 = 3*x + 6, -5*q - 3*x + 0 = -4. Let y(i) be the third derivative of i**6/120 - i**5/60 + i**4/24 - i**3/6 - i**2. Calculate y(q). 5 Let t(w) = w + 10. Let n(p) = 4*p**2 - 10*p + 1. Let j(a) = -5*a**2 - 1 - 5*a + 5*a + 11*a. Let r(l) = 5*j(l) + 6*n(l). Let b be r(-6). Determine t(b). 5 Let x = 19 - 21. Let y(u) = 2*u**3 - u**2 + 4*u + 3. Give y(x). -25 Let b(y) = -2 + y**2 + y - 2*y + 0*y**2. Let s(j) = -2*j**3 - j**2 + j + 2. Let n be s(-1). Let p be (1/n)/((-7)/(-42)). Give b(p). 4 Let t(d) = 3*d - 1. Let v be (-4)/(-3)*(20 - 14). Let w(q) = q - 11. Let k be w(v). Determine t(k). -10 Let i(p) = -p**3 + 4*p**2 + 4*p + 2. Let q be (4/12)/(3/45). What is i(q)? -3 Let z = 17 + -12. Let f(v) be the first derivative of -v**2 + 2. Give f(z). -10 Suppose -2*n = -3*n - 5, -n - 6 = a. Let g(r) = 2 + 1 - 9*r**3 - 4. Determine g(a). 8 Let n be (-24)/(-6) - (0 + 1). Let x(f) = f**3 - f**2 - 4*f + 1. Calculate x(n). 7 Let y be (-3)/(-2) + (-3)/(-6). Let d(f) = 3*f**3 + 4*f - 3. Let b(r) = r**3 - r + 1. Let z(i) = y*b(i) + d(i). Determine z(1). 6 Let v(a) = a - 10. Let k be 3*(-6)/18*7. Determine v(k). -17 Let s(c) = 52 - 53 - 4*c + 12*c. Determine s(-2). -17 Let j(i) = 6 - 5*i - 12 + 2 + 6 + i**2. Determine j(3). -4 Let n(j) = j**3 - j**2 + j + 2. Let m be n(0). Let z(u) = 9 - u**2 - 5*u - 2*u**m - 2 + 4*u**2. Determine z(5). 7 Suppose -4*p = -5*p + 6. Let b(j) = j**2 + j - 1. Let k(n) = -2*n**2 - 8*n + 7. Let d(i) = p*b(i) + k(i). Calculate d(1). 3 Suppose -3*x + 3 = -0*x. Let v be 0/3*(x - 0). Suppose -t - 2*l + 4*l = 0, v = -t - 4*l. Let c(i) = i**3 + i**2 - 5. What is c(t)? -5 Let v(a) = -3*a. Let t(j) = 4*j. Let p(l) = 4*t(l) + 5*v(l). Let u(y) = 7. Let q(w) = -p(w) + u(w). Determine q(6). 1 Suppose 0 = h - 1 - 1. Let r(g) be the second derivative of g**4/12 + g**3/3 - 3*g**2/2 + g. What is r(h)? 5 Suppose -5*n - 15 = -4*s, s = -2*n - n - 9. Let x(f) = f - 7. Determine x(s). -7 Let a(t) = -7*t**2 + 1. Let x = -17 - -31. Let r = x + -20. Let h be r/9 + (-2)/6. Calculate a(h). -6 Let u(r) = 6*r**3 - r**2 - 5*r + 1. Let t(m) = -7*m**3 + m**2 + 6*m - 1. Let a(p) = -5*t(p) - 6*u(p). Let c = -71 - -72. What is a(c)? -1 Let b(z) be the third derivative of -z**7/2520 - z**6/720 - z**5/60 - 5*z**2. Let q(m) be the third derivative of b(m). Give q(-3). 5 Let z(d) = 2*d - 3. Let c(b) = 10*b - 16. Let a(r) = -2*c(r) + 11*z(r). Determine a(6). 11 Let b be (2/(-1))/(4/2). Let q be (1 - 1)/2 - -1. Let z(d) = -q + 2 - 3*d + d. Give z(b). 3 Let v(p) = -p + 2. Suppose 3*w - 12 = 18. Let q = w - 7. What is v(q)? -1 Suppose 0 = -4*i + 6*i - 6. Suppose -4 - 11 = i*q. Let m(t) = -t**2 - 9*t + 6. Let f(o) = -2*o**2 - 17*o + 12. Let d(a) = -4*f(a) + 7*m(a). What is d(q)? -6 Suppose -4*y = -0*a + 5*a - 27, 0 = -y - a + 6. Let t(o) = -o**3 + 4*o**2 - 2. Calculate t(y). 7 Suppose 0 = 3*h - 8 - 1. Let m(w) = 6 + 2*w + 4 - h*w - 2. Calculate m(4). 4 Let o(a) = 2 + 2*a + 0*a**3 + a**3 + 6*a**2 + 0*a**2. Calculate o(-6). -10 Let j(u) = 5*u - 2. Let g(b) = 2 + b**3 + 2 + 7*b**2 - 8*b - 3 + 2. Let z be g(-8). Calculate j(z). 13 Let d(a) = a**3 + 2*a**2 + 3*a + 2. Let k be -3 + 0 + 6 + -5. Give d(k). -4 Let h(g) = 3*g + 6. Let l(q) = -4*q - 6. Let c(t) = 7*h(t) + 6*l(t). Determine c
{ "pile_set_name": "DM Mathematics" }
have the same value? False Let m be 60/525 + (-6)/15. Which is smaller: -2/965 or m? m Suppose g + 2*v - 8 = 0, 2*g = 4*v + 9 + 23. Let m be -2 + -8 + g/(4 - 1). Which is smaller: m or -4? m Let u = 0.23 - 0.63. Let a = 0.25 + u. Let k = a - -0.05. Is -0.16 bigger than k? False Suppose 3*b - 2*h - 15 = 0, -b + 0*h + h = -5. Suppose -b*c = -10*c - 55. Suppose 0 = 74*s + 16*s + 20 + 1060. Which is bigger: s or c? c Let y be -1*1*(-15 + (9 - -6)). Are -5/41 and y nonequal? True Let v = -1 + 0. Let c = 193/6 - 319/10. Which is smaller: v or c? v Let s be 9/6*(-8)/30. Let r be 6/4*(-1010)/(-15). Let j = r + -809/8. Which is smaller: j or s? s Let o be (1 - 1) + 2/6. Suppose -25 = -2*i + 4*r - 43, 0 = -2*i - r + 7. Are i and o equal? False Let s = 11.25 - 11.35. Which is bigger: -0.0357 or s? -0.0357 Let s(g) = -g**2 - 6*g - 2. Let o be s(-5). Let c = -160/3 - -337/6. Let j = o - c. Which is smaller: j or 1? j Let b = 8 + -49. Suppose 29*w - 69*w - 785 = 895. Which is bigger: w or b? b Suppose 2*w = 3*l - 22, -3*w = 2*l + 47 - 14. Which is greater: -41/4 or w? -41/4 Let d = -3 + 3. Let r(c) be the second derivative of c**3/6 + 3*c**2 + 8*c. Let s be r(d). Which is smaller: 0 or s? 0 Let l(u) = -34*u - 576. Let o be l(-17). Is -726 at most o? True Let v = -20 + 20. Suppose v = -3*j + 2*o - 10, 0 = 4*j - 2*o - 2 + 14. Let s be 0/(2 + j + -2). Does s = -4/9? False Suppose -2*o = -6*o + 180. Suppose 0 = 5*t + 25, 0*t = -n + 3*t + o. Let l be 3/2 - 33/n. Which is smaller: l or -6/11? -6/11 Suppose -3*u + 209 = 5*g, 4*g - 276 = -4*u - 0*u. Suppose w + w - 32 = -2*f, 5*w + f - u = 0. Are 68/5 and w equal? False Let c(f) = -f**2 - 7*f**2 + 6*f - 31 + 3*f**2 + f**3 - 7*f. Let s be c(6). Which is bigger: s or -30/17? s Let i = -130 + 130. Is i > -6/451? True Let q be (-3)/(-1)*(-18)/16659. Which is smaller: -1 or q? -1 Suppose -20 = -6*o - 8. Suppose o*u + 30 = -2*g - 20, -65 = 3*u + g. Is -19 equal to u? False Let s(y) = -y**3 - 8*y**2 + 3*y + 65. Let o be s(-7). Are o and -3 unequal? True Suppose 13*o = 11*o + 18. Suppose 4*k - 25 = 7. Which is greater: o or k? o Let h(p) = -p**3 - 36*p**2 + 5*p - 100. Let w be h(-36). Is -280 at least w? True Suppose -62*h = -60*h. Let j(d) = d. Let o be j(0). Is h smaller than o? False Let k = -41 - -32. Let r = 32 - 20. Let c = r + -22. Is k < c? False Let o(q) = -11*q + 17. Let g(m) = -5*m + 8. Let t(c) = -13*g(c) + 6*o(c). Let v = -35 + 40. Let y be t(v). Which is smaller: -8 or y? -8 Let c be ((-9)/12)/((-1)/12). Suppose c = 2*p + 25. Let q be 2*(28/p + 3). Which is smaller: -2/3 or q? q Let m = 348 - 522. Is m >= -176? True Let s = 205004/98187 - 4/4269. Which is smaller: s or 1? 1 Suppose 3*y + 36 = 4*y. Let a be y/16 + (-2)/8. Which is smaller: a or 2/3? 2/3 Suppose 4*u = -u + 15. Suppose -5*i - 3 = -4*l, 4*i - 17 = u. Suppose 0 = -2*r + l*r - 30. Is 6 at least as big as r? True Let s = 4/25 - -1/25. Let w = 20.72 + -20. Let n = w + 0.28. Do s and n have the same value? False Suppose -3*a = 3*t, 4*t - 2 = 2*a + 5*t. Let x be a*2/((-36)/(-15)). Is x bigger than -2? True Let a = 17 + -8. Let d be ((-3)/(-6))/(1/20*1/1). Which is smaller: a or d? a Let k be (-14)/54*-3*-127. Let j = -99 - k. Suppose -7*p + 12*p = 0. Do p and j have the same value? False Suppose 4 = -4*m - 0*m. Suppose 13*r + 280 = -22*r. Let i be m/((-1)/3) + r. Which is greater: -7 or i? i Let p = 0 - 7. Let c = -7.1 - p. Let g be (-4)/(-16) - 15/28. Which is smaller: c or g? g Suppose a + 0 = -2, -3*h - 38 = 4*a. Let k be (-2)/(-5) - 2/h. Let c = -4/5 + k. Which is smaller: c or -1? -1 Suppose 10*o - 24 = 6*o. Let v be (-1)/(-3)*o + 198/(-98). Which is bigger: 0 or v? 0 Suppose -315 = -17*u + 25. Which is bigger: 31 or u? 31 Let u(m) = 2*m + 3. Let b be u(-4). Let d = b - -9. Suppose 3*c - 2*c - d = 0. Is 5 less than or equal to c? False Let z be 6*(-7 + 30200/4314). Is -1 at most as big as z? True Let p be -28 - -28 - ((-1)/1 + 0). Which is greater: -67/5 or p? p Suppose 2*o + 140 = 5*r, 5*o - 84 = -4*r + r. Suppose 0 = -3*u + 2*s - s + 9, u = 5*s + 3. Let p be (r/(-147))/(2/u). Which is smaller: 5 or p? p Suppose -5*r = 3 - 13. Suppose r*h + 84 = 6*h. Let s = h - 20. Which is smaller: s or 2/3? 2/3 Let g(f) = -f**2 + 5*f - 3. Let n be g(2). Let o be n/5 + 306/90. Suppose 4*y + o*i = 2 + 6, y - 8 = 2*i. Is 4 >= y? True Let u be 8/6*3 + 7. Suppose 5*q + 8 = -3*j + 1, 3*q - 5*j = -u. Let s = q + -2. Which is bigger: s or -3? -3 Let w be 0 + ((-8)/6 - -1). Suppose -4*t + m = 3*m - 22, -3*t + 15 = m. Let y be 12/36*6/t. Which is smaller: y or w? w Let r(d) = -d - 112. Let h be r(0). Let j = h + 112. Let u = 31/6 + -17/3. Is j bigger than u? True Let b = -63254 - -949879/15. Let p = 71 - b. Is p bigger than 0? False Let o(q) = -4 - 14*q - 1 + 4*q - q**2. Let j be o(-8). Suppose j = 4*x + 2*z + 1, 6 = x + 4*z. Is 2 at least as big as x? True Let d(o) = o**3 + o**2 + 1. Let m be d(-1). Let a = 73/14 - 5. Do a and m have different values? True Let g = 402 + -403. Which is smaller: g or 4? g Suppose 9 = x + 7. Suppose 2*j + 22 = -3*u, x*j - 4*u = -5*u - 14. Which is bigger: -6 or j? j Let r = -6 - -9. Suppose 5*o - 4*q - 13 + 5 = 0, o - 4*q = -8. Suppose o*a = 3*d + 20, r*a - 6*a + 26 = -5*d. Which is smaller: 0 or a? 0 Suppose 0 = v + 5 - 2. Let c be v/3*-7*-1. Let i be -1*5 - (c + 8). Is i <= -7? False Let u = 0 + 3. Let i = -7 - -8. Which is smaller: i or u? i Let r = 464 + -505. Which is bigger: r or -35? -35 Suppose -2*o - 2*u = 4, 2*u = 2*o + 43 - 39. Is o bigger than -105? True Let w be (3 - 0/(-1)) + 4160/(-8). Which is smaller: w or -516? w Suppose -1 = 3*c + 2. Let w be -4 + (3 - -15) + 2. Suppose -u + w = 3*u. Are c and u equal? False Let t(f) = -8*f + 16. Let d be t(-2). Let a = d - -12. Is a not equal to 43? True Let p be (4 - (8 - 3))/(114/12). Which is smaller: p or -2/21? p Let x = -30/91 + 4/91. Let r = 0.03 + -0.05. Which is smaller: x or r? x Suppose 25 = -5*n + 15. Let d(q) = -q**3 + 3*q**2 - q - 2. Suppose 0*z + 2 = -z - 5*h, -z - 2*h + 1 = 0. Let u be d(z). Is n at least as big as u? True Let x = 14 - 10. Suppose 3*i + 2*i = -2*z + 10, -x*z = i - 20. Are i and 2/53 equal? False Suppose -191*c - 35070 = -212*c. Which is greater: 1669 or c? c Let k = 182 + 72. Is k at least 254? True Let o be (-77)/66*9/(-14). Let c be (-3 - -5) + (-174)/70. Let q = c + 2/7. Which is smaller: o or q? q Suppose 6*b - 225 = 33. Let m = b + -53. Let n = 0.1 - -0.9. Are m and n nonequal? True Let m(l) = -l - 4. Let q be m(5). Suppose 4*w - 58 = -170. Let s be (-3 - -2)/(136/w - -5). Are s and q equal? False Let m = 5 + -5. Let l = -72 + 72.1. Which is smaller: m or l? m Let f = -85/28 - -11/4. Suppose 39 + 6 = 5*w. Suppose -j - w = l + l, -5*j = -5*l. Which is bigger: l or f? f Let h be 71960/336 - 8/(-6). Which is smaller: 216 or h? h Suppose -4*d + 22 = 14. Let x be 21/(-14)*d/(-33). Is x > 1? False Let x be 15/3 + -1*1. Suppose 4 = -y + 5*y - x*l, -4*y + 2 = -5*l. Suppose -y = 5*f - 8*f. Is f <= -1? False Suppose -3*t = 5*c - 3*c - 12, -2*t = 5*c - 8. Let q(z) = 4*z - 39. Let h be q(10). Is h greater than c? True Let m = 108.1 + -108. Is m not equal to -3/5? True Suppose 25 = 32*p - 27*p. Let f(c) = -c**2 + 9*c - 11. Let v be f(8). Let l be (p + 4 + v)/(-1). Which is smaller: l or -7? -7 Let v be 10*-2*(-4)/20. Suppose 60 = -v*s - s. Let i = s - -13. Is -5/3 at most i? True Let f(c) = c**3 - 8*c**2 + 10*c + 20. Let n be f(6). Is -3 smaller than n? True Let j be (-87)/27 - 2/(-9). Let f be 100/36 + -2 + -1. Which is smaller: f or j? j Let z = 3.84 + -1.84. Do 30 and z have different values? True Let r(v) = 2*v + 1. Let b(o) = o**2 - 5*o + 5. Let i be b(4). Let u be r(i). Let q be 1 - 0*u/(-6). Which is smaller: q or -1/11? -1/11 Suppose 4*a + x + 2*x = 5, x - 5 = -2*a. Let s be (-44 - -40) + (1 + -1 - -5). Is a > s? True Suppose 0 = x - 4*x - 18. Let l = -3 - x. Suppose 2*o - 3*o - 17 = 4*v, l*o - v - 1 = 0. Which is bigger: -4 or o? o Let m = 144 - 149.95. Let r = 0.6 - 0.55. Let v = r - m. Which is greater: v or 1/4? v Let v = -71 - -102. Let y = -36 + v. Do -2 and y have the same value? False Let l be ((-906)/(-8))/(1/4). Let f = l + -887/2. Is 9 equal to f? False Suppose 2*r = 3*p + 39 - 47, -3*p + 2 = 4*r. Let a be (-7)/4 - 2/8. Do p and a have t
{ "pile_set_name": "DM Mathematics" }
Suppose 2*b - 2*c = 2764, 3*b + 3*c + 1372 = 4*b. Is b composite? True Let c be (-20)/(-5) - 0/(-1). Suppose -3*i + 2357 = n + 3*n, -3*n + 1759 = c*i. Suppose t + 2*t = -3*g + 363, g = 5*t - n. Is t composite? True Let f(r) = 2*r + 7. Let x be f(-5). Let p be x*1*4/3. Is -1 - 1 - (-4 + p) a composite number? True Suppose 4*t + 12 = 2*t - 3*y, -3*t = 3*y + 12. Is t + 3 + 1 + 145 prime? True Let g(h) = -h**2 - 4*h + 2. Let q be g(-3). Suppose 3*v = q*v - 50. Is v a composite number? True Let p = 75 + 14. Is p a composite number? False Let d(v) = -v**3 - 7*v**2 - 9*v - 10. Suppose -3*x + 6 - 27 = 0. Is d(x) prime? True Suppose -5 = m - 17. Let q be (336/2)/((-8)/m). Let b = q - -379. Is b composite? False Suppose 585 = 3*p + 3*h, 2*h = 3*p - 383 - 182. Is p prime? True Let w(t) be the second derivative of 5*t**4/12 + t**3/2 + t**2/2 + 2*t. Let o be w(-2). Is 536/10 + (-9)/o prime? True Suppose 5*j + 54 = -2*v + 1349, 3*v - 1880 = 5*j. Suppose a = -4*a + v. Suppose -3*y - 5*l + a = 0, -2*y - 4*l = 3*y - 229. Is y composite? True Is 7/21*(-54)/(-2) composite? True Let g = 49 + 3. Is g/5 + (-4)/10 a prime number? False Suppose 4*l = a - 653 - 354, -4*a - 5*l = -3944. Is a a composite number? False Let v(r) = -2*r - 12. Let u be v(-8). Suppose a - 23 = -u*h, -2*h = 2*h - 20. Suppose -2*c - 3*n - 14 = -165, 226 = a*c + 5*n. Is c a composite number? True Suppose 5*v + 2*z = 17, -v + 4*z + 2 = v. Suppose 4*r = -3*a + 185, -r + 232 = 4*r + v*a. Is r a prime number? True Suppose 2*y = 2*l + 66, -y + 17 = 5*l - 34. Let t be y - (-2 - (-4 - -1)). Suppose -2*n = -n - t. Is n prime? False Is (1*-1262)/2*-1 a composite number? False Let n be 61/7 - (-4)/14. Let k be (-15)/n + (-2)/(-3). Is k + 21 + 0 + 1 a prime number? False Suppose c = -c - 5*z + 15234, -5*c - 2*z + 38043 = 0. Is c a composite number? False Let u = 696 - 483. Suppose 3*d - 222 - u = 0. Is d composite? True Suppose 4*i + 3*f = -21, -i = 3*i - f + 41. Let s(g) be the third derivative of -5*g**4/24 + 5*g**3/3 + 2*g**2. Is s(i) prime? False Let m(l) = -l + 11. Let i be m(6). Suppose i*y = 390 - 100. Is y a prime number? False Let y(n) be the third derivative of 121*n**5/60 + n**4/24 - n**3/6 + n**2. Is y(1) prime? False Let t(c) = -9*c**2 + c + 4. Let p be t(3). Let k = -141 - -250. Let u = k + p. Is u prime? False Suppose -2*a - 1 = -11. Suppose 4*v - 4*x - 31 = 209, 0 = -x + a. Is v composite? True Is 1873 + ((-9)/(45/(-10)) - 1) a prime number? False Let x = -459 - -832. Is x composite? False Is 62/(-341) - 7405/(-11) composite? False Let v(k) = 2*k**2 - 5*k. Let d be v(4). Suppose -d - 183 = -3*l. Is l prime? False Is (-22)/121 - (-7286)/22 a prime number? True Let n(q) be the second derivative of -7*q**4/6 + 7*q**3/6 - 9*q**2/2 + 2*q. Let v(g) = 9*g**2 - 5*g + 6. Let l(d) = 5*n(d) + 8*v(d). Is l(8) a prime number? False Suppose -21 - 191 = -4*o. Is o a composite number? False Let y = -7 - -10. Let o be (2/6)/(y/(-9)). Is (-25)/((-2)/1 - o) a prime number? False Let m = -2125 + 3102. Is m composite? False Let j(g) = g**3 + 8*g**2 + 7*g + 2. Let f be j(-7). Let u(y) = 40*y**2 + 1. Is u(f) prime? False Let y(d) be the second derivative of 25*d**4/4 - d**3/6 - 4*d. Is y(1) prime? False Let p = 4 - -1. Suppose 0 = -p*c + 20, c = -2*t - c + 14. Suppose 2*i + t = 101. Is i a composite number? True Let k(n) be the third derivative of 17*n**5/60 + 5*n**4/24 + n**3/6 + 3*n**2. Is k(-4) composite? True Suppose -4*t + 5*t = 162. Suppose w + t = 481. Is w composite? True Is 4 - ((-1)/1 - 6) a prime number? True Suppose -3*a + 132 = -a. Let r be 2*(-1 - (-3 - 0)). Suppose -j = -r*j + a. Is j a composite number? True Let q be (6/4)/((-33)/(-88)). Suppose 1665 - 149 = q*u. Is u a composite number? False Let y(t) = -3*t**3 - t**2 - 4*t - 3. Let s(i) = -i + 4. Let d be s(6). Let x be y(d). Let n = -12 + x. Is n composite? False Let y(w) = -w + 1. Let b be y(-7). Let q(j) = -j**3 + 8*j**2 + 9*j - 7. Is q(b) a composite number? True Let b = -37 - -91. Let f = 103 - b. Is f composite? True Let f be -1*(-3 + 0) + 2. Suppose 2*t - 161 = -f*m, 3 = -2*t - 1. Is m prime? False Let l(d) = 61*d - 3. Is l(5) composite? True Let b(u) = u**3 + 4*u**2. Let k be b(-4). Suppose k = 2*i + 3*i - 30. Suppose -4*q = -2*d + i*d - 16, q = d + 2. Is q prime? True Suppose 6*g - 4*g - 514 = 0. Is g composite? False Let x be (-1 + -23)*-42 + -3. Suppose 3*q - 3*l - x = -0*q, 0 = -q - 5*l + 347. Is q prime? True Let l = 5 + -3. Suppose l*z = z + 58. Is z prime? False Let q be (5 - 1)*58/8. Suppose 0 = -3*i + 12 + 9. Let b = q - i. Is b composite? True Let i = -2 + 4. Let b be i/(-1) + (4 - 2). Suppose b*u = -4*j - 3*u + 691, -661 = -4*j + 3*u. Is j a prime number? False Let g be (-1 - 4)*(-142)/5. Suppose c = -n + 3*n - g, 2*n = 3*c + 142. Is n a composite number? False Suppose -5*c + 3368 = 2*r, -3*c + 2*c + 4*r + 678 = 0. Is c a prime number? False Let m = -5 + 0. Let j(w) = 3*w**2 + 4*w - 6. Is j(m) composite? True Let z(m) = m + 9. Let x be z(-8). Suppose -5*l + 9 + x = 0. Suppose 0 = l*q - 2 - 4. Is q composite? False Suppose 0 = -4*x + n + 622, n = -5*x - 37 + 819. Let r = 319 - x. Is r a composite number? False Let x(p) = -2*p + 1561. Is x(0) a composite number? True Let q(l) = -17*l**2 + 4*l + 3. Let u(j) = 18*j**2 - 4*j - 3. Let b(f) = -6*q(f) - 5*u(f). Is b(-2) composite? False Suppose -2*o = -291 - 155. Is o a composite number? False Let q = 654 - 283. Is q prime? False Let h(r) = r**2 + 10*r - 4. Suppose -n = 3*n - 28. Is h(n) composite? True Suppose 0 = 4*p - 2074 + 430. Is p a composite number? True Suppose 37 = -s + 114. Is s prime? False Let n(z) = z**3 + 6*z**2 + 5*z - 3. Let s be n(-5). Let u(w) = -w**3 - 3*w**2 + 3*w + 4. Let k be u(s). Let o = k + 120. Is o a composite number? True Suppose -3*n - 2*n = 3*p + 10, 2*n + 10 = 0. Suppose 4*t - 205 = 3*s, -s - 340 + 92 = -p*t. Is t a composite number? True Let i = 0 - 41. Let k = 1 - i. Let h = 68 - k. Is h prime? False Suppose 4768 = 5*r + 2*x - 2007, 0 = -2*r + 2*x + 2724. Is r a composite number? True Let w = 70 - -41. Is w a prime number? False Let b(i) = 43*i - 2. Suppose -2*g + g + 5*y = 12, -4*g - 2*y = -18. Is b(g) prime? True Suppose 0*x + x = -2*f - 178, 5*x = -5*f - 440. Let h = 11 - 24. Let q = h - f. Is q prime? False Let j(p) be the third derivative of -3*p**4/2 + 2*p**3/3 - 3*p**2. Let t be j(3). Let n = t + 199. Is n composite? True Is (35196/(-8))/(-7)*(-2)/(-3) prime? True Let d = 100 + 103. Is d composite? True Suppose -2274 - 1651 = -5*m. Is m composite? True Suppose 2*f - f - 3*r - 178 = 0, 5*f - 5*r = 850. Is f a prime number? False Suppose 0 = -0*d + d - 26. Let p be ((-2)/(-6))/(2/(-6)). Is p + d + -2 - 2 a prime number? False Let u(p) = 4*p**3 - p + 1. Suppose -a = 2 - 3. Let f be u(a). Suppose 0 = -3*y - 2*v + f + 47, 4*y - 4*v - 48 = 0. Is y prime? False Let o(q) = 691*q**2 - 7*q - 3. Is o(2) composite? True Let n(d) = 6*d - 4 + 3*d**2 - 4*d**2 + 3*d. Suppose -4*q = -4*k + 40, -2*k = -5*k + q + 22. Is n(k) composite? True Let w = -3 + 52. Is w a prime number? False Suppose 0 = -4*h + 12, -4*d - 4*h + 2*h + 78 = 0. Let p = 33 - d. Is p a composite number? True Is ((-53)/(-5))/((-9)/(-45)) prime? True Suppose -335 = -2*t + 1023. Is t a composite number? True Suppose -185 = -j + 356. Is j a composite number? False Let a(y) = 483*y + 1. Suppose -4*o - 4*v = -12, 2*o - 2*v = 3 - 5. Let z be a(o). Suppose s = 5*s - z. Is s prime? False Suppose -4*j - 3*g + 2*g = 2034, 2*j - 4*g + 1008 = 0. Is j/6*(-30)/20 composite? False Let t(o) = 19*o**3 - 5*o**2 + 3*o + 2. Is t(3) prime? True Let j(o) = -4*o**2 + 0*o**2 - o**2 + o**3 + 3*o - 2*o**2 - 11. Is j(8) composite? True Let x be (2 + -1)*(3 + -1). Suppose 0 = v + 2*v - 9. Suppose -10 + 51 = v*d + x*n, 2*n + 11 = d. Is d a prime number? True Let h(s) = s**2 + 2*s - 2. Is h(-5) prime? True Suppose 3*i = -0*i - 9. Is 2/i + 202/6 a composite number? True Let k be (-183)/(-6) - (-1)/2. Suppose 0 = 3*b + k - 376. Is b prime? False Let m(c) = -c**3 - 6*c**2 + 6*c. Let p(r) = -r + 1. Let t(q) = -m(q) + 2*p(q). Let f = 2 + -9. Is t(f) prime? False Let h(a) = 2*a**2 - a - 1. Suppose -1 = m + 3*r, m - r = -0*r - 1. Let n be h(m). Suppose 3*g + 6 = 0, n*b + 4*g + g - 28 = 0. Is b a composite number? False Supp
{ "pile_set_name": "DM Mathematics" }
rue Suppose 10 = -5*w + 30. Suppose w*h + 0*p = -5*p - 3, 6 = -2*h - 4*p. Suppose -2056 = -h*i - 37. Is i a prime number? True Let a = -39 + 60. Is (-5222)/a*(-9)/6 a prime number? True Let o = -4190 - -5951. Is o a prime number? False Let f = 1074 - 40. Let k = f - 590. Let g = -317 + k. Is g composite? False Let t(a) = -a**3 + 18*a**2 - 32. Let b(x) = x + 1. Let g(s) = -5*b(s) - t(s). Is g(19) composite? False Suppose -t = -5*t - 28. Let d be t/((-84)/(-16))*-6. Is (-1735)/(-20) - (-2)/d composite? True Suppose 5*c - 11959 = 8906. Suppose -g = -4*g + c. Is g composite? True Let q(g) = -1062*g**3 + 3*g + 2. Let n(z) = z**2 - 15*z + 8. Let p be n(13). Let m be (6/p)/((-1)/(-3)). Is q(m) a composite number? False Let d = -34 - -37. Suppose d*n - 27 = 1158. Is n a prime number? False Suppose 5*j - 4*v = -7346 + 18325, -v + 6601 = 3*j. Is j a composite number? True Let x be (2*4/(-24))/((-2)/(-5178)). Let p = -532 - x. Is p a prime number? True Suppose -184133 = -5*x - a + 106513, -3*x + 5*a = -174382. Is x composite? False Suppose -2*i + 10 = -2*a - 4*i, 2*i + 10 = 0. Suppose a = -s - s - 8. Is 94 - 6*s/8 a composite number? False Let m = 142 + 779. Is (m/6)/((-2)/(-12)) prime? False Let b be 2021/3 - 4/6. Let s = b + 540. Is s prime? True Let a(v) = -4*v**2 + 3*v**2 + 10*v - 18*v - 3. Let s be a(-6). Is -3*((-375)/s + 2) a prime number? False Let c(l) = 8*l - 5. Let y(i) = -i**3 + 5*i**2 + 3. Let z be y(5). Is c(z) prime? True Is (16/(-40) - 26/10) + 3610 a prime number? True Let u = 64 + -68. Is (7/2 + u)*-2246 a prime number? True Let y(m) be the second derivative of 47*m**3/6 - 2*m**2 + 3*m. Is y(1) composite? False Let v(k) = -k**2 - 20*k - 68. Let y be v(-15). Let h(l) = 115*l + 4. Is h(y) prime? True Is (1741/(-3))/(5/(-15)) a composite number? False Let c = -3 - 4. Let s be 0 - c/((-21)/(-6)). Suppose 5*f - 2*k + 5*k - 1835 = 0, f + s*k - 367 = 0. Is f a composite number? False Let d = 696 - 161. Suppose -5*b - d = -3*p, -3*p = -2*p - b - 181. Suppose 0 = -u + 5*x + p, -x - 406 = 4*u - 6*u. Is u a composite number? True Let r(m) = -m**3 - 6*m**2 - 5*m + 5. Let b be r(-5). Suppose b*h - 6475 = -865. Suppose -h = -2*a - 460. Is a composite? False Let y be (2/(-2))/(14/(-112)). Let i be 26/y - (-30)/40. Suppose 0*v - 3*v = i*l - 1022, v = -2*l + 512. Is l a prime number? True Let f(q) = q**2 - 3*q + 2. Let x be f(3). Suppose -5*v + 57 = -x*v. Is v a prime number? True Suppose -41271 - 16303 = -11*v. Is v a composite number? True Let r be 6*-1*(-208)/(-12). Let u = r - -523. Is u a prime number? True Let r(s) = 14*s**3 + 4*s**2 - 11*s - 15. Is r(11) a prime number? False Let x(m) = 2435*m**2 + 3*m + 2. Let j be x(-1). Suppose j = 3*l - 3233. Is l prime? True Let a(t) = -t**3 - t + 6 - 8*t**3 + 8 + 10*t + 15*t**2. Let p(g) = 5*g**3 - 8*g**2 - 5*g - 7. Let w(r) = -4*a(r) - 7*p(r). Is w(6) a composite number? False Let x(g) = 3*g**2 - 3*g + 33. Let s be 114/15 - 1 - (-6)/15. Is x(s) a composite number? True Let a = -73 + 107. Suppose 25*i + 2637 = a*i. Is i a composite number? False Suppose -5*j + j = -8. Suppose 67 = x - 0*b - 2*b, -j*x + 5*b + 138 = 0. Is x prime? True Suppose 0 = -6*b - 7869 + 25023. Suppose b + 3949 = 8*a. Is a a prime number? False Let g(q) = 5*q**2 + q + 13. Let u = 43 - 47. Is g(u) a composite number? False Let k be (-343)/(1 - 10/9). Suppose k = 4*y - 357. Suppose y = 8*c - 5*c. Is c composite? True Suppose 0 = 2*w - 7 + 5. Is -1 + w + 12 + 167 a prime number? True Let x be (-12)/(-20) + (-3927)/(-5). Suppose 0*v + 3*v = -5*y - 7, -3*v = 3*y + 9. Is x/v*(-2)/3 prime? True Is 8/16*(-1086414)/(-3) a composite number? True Suppose -2*s + 4*s = -1344. Let d = 1996 + s. Suppose i = 5*i - d. Is i a composite number? False Let x(i) = -i**2 + 2*i + 2. Let a(u) = 14*u**2 - 7*u - 8. Let o(h) = a(h) + 3*x(h). Suppose r + 2*z = -4*r + 21, 0 = -z + 3. Is o(r) composite? True Suppose 4*w - 4*u = -3*u - 22, 0 = w - 3*u. Let k be (27/(-12))/(w/(-16)). Is ((-68)/8)/(1/k) prime? False Suppose 5*z + 1590 = 4*s, -4*z = 3*s + 843 + 460. Let m = z - -455. Is m composite? True Let x = -16 - -56. Suppose -3*r - x = p, -3*p = -r - 6 - 14. Is r/(-21)*690/4 a prime number? False Let u(n) = -25*n + 148. Let o be u(6). Suppose 2*b + 2*b + 96 = 0. Let y = o - b. Is y composite? True Let r(t) = -t**3 - 4*t**2 + 4*t - 2. Let h be r(-5). Is -5*46*h/(-18)*3 composite? True Let w(m) = 2*m + 6. Suppose 4*f - 40 = -u + 5*u, 2*u = 3*f - 29. Let r be w(f). Let y = r + -11. Is y composite? False Is 6 + (-9 - -2) + (-584)/(-1) a prime number? False Let f = 3 - 0. Suppose -2*p - 18 = 5*k - 73, -3*k + f*p + 33 = 0. Is k/(-22) + 490/4 a prime number? False Suppose u + u - 110 = 0. Let v(f) = f**3 + 5*f**2 + 7*f + 1. Let w be v(-4). Is (-3068)/(-10) - w/u a composite number? False Let d(a) be the second derivative of 3*a**5/10 - a**4/12 + a**3/3 - a**2/2 + a. Let h be d(1). Is (-3)/h + 1014/4 composite? True Let s(k) = 2*k**2 - 8*k + 5. Is s(8) a prime number? False Let a(r) = -27*r + 2. Let c(y) = -y**3 - 8*y**2 + y + 5. Let g be c(-8). Let m be a(g). Is 1/1*(-4 + m) a composite number? False Let g(w) be the first derivative of -9*w**4/4 - 5*w**3/3 + w - 9. Is g(-2) a composite number? False Let g(l) = 63*l + 22. Let i be (4/((-64)/(-12)))/(1/4). Is g(i) composite? False Let z be (-3 + 5)/(2/(-1)) - 55. Let y = 507 + z. Is y composite? True Let b(a) = 16*a**2 - a + 5. Let d be b(-12). Suppose -13*n + 2*n + d = 0. Is n prime? True Let q = -32 + -89. Let a(s) = 13*s - 56. Let h be a(6). Is (-6970)/(-22) - h/q a prime number? True Suppose -3749 = 6*b - 31067. Is b a prime number? False Suppose 2*c = 5*b + 8 - 2, 0 = -5*c + 5*b. Let a(q) = 2*q + 3. Let m be a(c). Is (4/(-8))/(m/154) a composite number? True Suppose -y + l = -3*l + 97, -y + l - 106 = 0. Let a(h) = h**3 + 3*h**2 - h - 6. Let q be a(6). Let w = q + y. Is w prime? False Let n = -84080 + 148759. Is n a composite number? False Let s(f) be the first derivative of 1539*f**2/2 - 17*f + 3. Let q(w) = -513*w + 6. Let g(r) = -11*q(r) - 4*s(r). Is g(-1) a composite number? True Suppose -2*v + 16825 + 7549 = 0. Is v composite? True Let t(b) = 15*b**2 - 28*b - 23. Is t(-16) a composite number? True Let o(x) = 101*x**2 + 3*x - 3. Let a be o(3). Let y = -36 + a. Is y composite? True Suppose -w + 223 + 56 = 0. Let h = 278 + w. Is h a prime number? True Let v be (-2)/((4 - 0)/(-5392)). Is v/40 + (-2)/5 composite? False Let b(j) = -15*j - 153*j + 14*j + 15 + 8*j. Is b(-11) composite? False Let c(m) be the second derivative of -1057*m**3/6 - 3*m**2/2 + 17*m. Is c(-2) prime? True Suppose 0*m + 8*m + 24792 = 0. Let s = 6506 + m. Is s a composite number? False Let q be (-2 - -4169) + -4 + 3. Suppose 7*b - q = 2*b - 3*p, -4*p = -5*b + 4187. Is b a prime number? False Let x(k) be the third derivative of k**4/24 + 11*k**3/6 + k**2. Let o be x(-8). Suppose 5*y - 2*y = 5*r - 277, 4*y + 175 = o*r. Is r a prime number? True Let y = -13246 - -62225. Is y prime? False Is (-229796)/(-6) - (-16)/(-48) composite? False Let d = 19 + -17. Suppose p + d*s = -3*p + 3154, 4*p + s = 3151. Is p a prime number? True Let z = 2837 + -18. Is z a prime number? True Let q = 2270 - 1197. Is q a composite number? True Is (157/2)/(109/218) a composite number? False Let f(b) = 3*b**3 + b**2 - 2*b + 10. Let s be f(-7). Let z = 1635 + s. Is z prime? False Is (-33 - 3)/6 + (3 - -104746) composite? False Suppose 91*f + 3 = 92*f. Suppose -f*r = -1533 + 540. Is r a composite number? False Let d(i) = 40*i + 15. Let b(r) = 7*r**2 + 6*r + 7. Let f(t) = -t**2 + 1. Let k(p) = b(p) + 6*f(p). Let j be k(-6). Is d(j) prime? False Let d(a) be the first derivative of 3/2*a**2 + a - 2 + 7/3*a**3. Is d(5) a prime number? True Let x be (-12)/54 + (-32)/18. Let v be x - (0/(-2) + -48). Is 4 + (8*v - -1) a composite number? False Suppose -5*k = 5*i - 405, -2*i + 0*i = 4*k - 322. Suppose -715 + k = -t. Is t prime? False Let u be -2 - (-12)/4 - -3. Suppose -u*y - 3*p + 1 = 5, -y = -5*p - 22. Suppose 2*q = -y*h + 3*q + 73, -195 = -5*h + 5*q. Is h composite? True Suppose 0 = -2*h - 2*h + 48. Suppose -h*n + 11*n = -457. Is n a composite number? False Let a(z) = -z**2 + 14*z - 12. Suppose 4*j + 2*g - 3 = 33, j + 2*g - 6 = 0. Let m be a(j). Suppose 2*t = m + 10. Is t a prime
{ "pile_set_name": "DM Mathematics" }
232? False Is 20278907 a multiple of 245? False Is 123942920 a multiple of 5? True Does 9 divide 4728940? False Does 15165 divide 1163916142? False Is 738360720 a multiple of 1840? True Is 7910 a factor of 1217504318? False Is 11090964 a multiple of 77? False Is 811178929 a multiple of 8218? False Is 1128130385 a multiple of 165? False Is 36 a factor of 1960598486? False Is 1640469118 a multiple of 604? False Is 27255090 a multiple of 3? True Does 1339 divide 4533989239? True Does 10 divide 1131260982? False Is 272749176 a multiple of 87? True Is 2 a factor of 3330337? False Is 45335778 a multiple of 117? False Does 11 divide 9250538? True Is 171605112 a multiple of 4218? True Does 29 divide 4040887042? False Does 392 divide 1230181156? False Is 310 a factor of 1140591517? False Is 15 a factor of 1084279911? False Is 5713070 a multiple of 1120? False Does 668 divide 456294971? False Is 35410544 a multiple of 160? False Is 10802 a factor of 2970994060? False Does 134 divide 472632447? False Is 200 a factor of 1966600? True Is 3 a factor of 184238181? True Does 40 divide 705282640? True Does 79 divide 7022992? False Is 73428632 a multiple of 4? True Is 830 a factor of 702641480? True Does 16 divide 584225616? True Is 60549339 a multiple of 453? True Is 467 a factor of 8777925? False Does 6 divide 62194068? True Is 10427065 a multiple of 24? False Is 38160639 a multiple of 991? False Is 32104537 a multiple of 210? False Does 319 divide 24880459? False Is 11175840 a multiple of 48? True Is 39 a factor of 154786632? True Is 5491935 a multiple of 765? True Does 455 divide 264996095? True Is 212285875 a multiple of 125? True Is 837 a factor of 110717057? False Is 8 a factor of 506169271? False Is 12362 a factor of 6377246750? True Does 742 divide 1038383738? True Does 42 divide 19364730? True Is 20116173 a multiple of 10? False Does 4315 divide 331860975? False Does 11 divide 4580884? True Does 129 divide 439740360? True Does 417 divide 260416083? True Is 20259789 a multiple of 682? False Is 9 a factor of 1256436? True Does 81 divide 4210268535? False Is 506 a factor of 10712526? True Is 757443714 a multiple of 59? False Is 366873661 a multiple of 131? False Is 58011331 a multiple of 586? False Is 33 a factor of 150469782? False Is 140 a factor of 13938962? False Is 533 a factor of 81909128? False Is 1503125744 a multiple of 2806? False Is 120657538 a multiple of 12? False Does 480 divide 525929233? False Does 44 divide 42550772? True Is 326751440 a multiple of 944? True Is 67 a factor of 72010595? True Is 115 a factor of 33008821? False Is 5 a factor of 3008690? True Does 56 divide 2189176? False Is 105073249 a multiple of 19? True Is 520647827 a multiple of 11144? False Does 544 divide 148626861? False Is 216140791 a multiple of 62? False Is 55779516 a multiple of 684? True Does 3840 divide 36514560? True Is 236775630 a multiple of 50? False Is 99727903 a multiple of 8? False Does 28 divide 74204256? True Is 1087 a factor of 251125262? True Is 46 a factor of 327367050? True Is 197 a factor of 2448584905? True Does 2 divide 119567280? True Does 4230 divide 499876020? True Is 2172455 a multiple of 320? False Is 73539030 a multiple of 258? True Is 50 a factor of 228248? False Is 30417656 a multiple of 4? True Is 235 a factor of 65422008? False Is 1633936872 a multiple of 888? True Does 181 divide 54699710? False Is 716 a factor of 672620233? False Is 31 a factor of 3298905331? True Is 22 a factor of 2831144536? True Is 2023 a factor of 2121099316? True Is 142787519 a multiple of 2077? True Does 1090 divide 46503760? True Is 13 a factor of 72183527? True Is 10 a factor of 1737581160? True Does 21 divide 86817927? True Is 1771 a factor of 775209204? True Is 1044471819 a multiple of 50? False Is 52 a factor of 110415041? False Does 199 divide 529034648? False Does 561 divide 55163130? True Is 937933031 a multiple of 508? False Does 92 divide 24306651? False Is 411 a factor of 445931398? False Does 18 divide 179422056? True Is 66 a factor of 21431652? True Is 12 a factor of 5011088591? False Is 129248705 a multiple of 17? True Is 636 a factor of 1202335104? True Is 40549412 a multiple of 4586? True Is 700441958 a multiple of 24? False Does 80 divide 656964720? True Does 18 divide 25106846? False Does 566 divide 1269895712? True Is 87130413 a multiple of 501? True Does 1329 divide 21035412? True Does 1016 divide 386412000? False Is 80211060 a multiple of 134? True Does 320 divide 651794261? False Is 99 a factor of 35122019? False Is 291586248 a multiple of 49? False Is 2606 a factor of 487613872? True Is 587 a factor of 4836293? True Is 1763 a factor of 599935015? False Is 61 a factor of 40632153? False Does 336 divide 2392656? True Does 527 divide 144840317? False Does 2109 divide 829170288? False Does 247 divide 96569837? True Is 52 a factor of 69870701? False Is 757382604 a multiple of 33? True Does 315 divide 675438750? True Does 9 divide 2742186040? False Is 132204394 a multiple of 37? False Is 29766470 a multiple of 10? True Is 203 a factor of 876882747? False Is 977 a factor of 3478676611? False Is 264 a factor of 230008416? True Does 1308 divide 221374248? False Does 14 divide 1630074124? True Is 31 a factor of 1744618? True Is 122 a factor of 329610895? False Does 11 divide 2683163152? False Is 194370456 a multiple of 57? True Is 41851999 a multiple of 434? False Does 15 divide 361605? True Does 12 divide 6765500? False Does 8 divide 9556692? False Does 28 divide 174125? False Does 548 divide 66549120? True Is 8921073 a multiple of 357? True Does 336 divide 1333580976? True Is 45473046 a multiple of 56? False Is 43256298 a multiple of 9? False Does 19 divide 231512404? False Is 2541 a factor of 703630851? True Does 23 divide 7268144? False Is 12415400 a multiple of 20? True Is 3298688 a multiple of 688? False Is 834 a factor of 849785952? True Is 1477822539 a multiple of 2997? False Is 7270979641 a multiple of 8101? True Is 275551468 a multiple of 2? True Is 10728381 a multiple of 1100? False Is 361744376 a multiple of 63? False Is 1338413334 a multiple of 43? False Is 1671680 a multiple of 40? True Is 5039594 a multiple of 243? False Is 796256064 a multiple of 272? True Is 402237524 a multiple of 52? True Is 2317550675 a multiple of 97? True Is 2872 a factor of 143364496? True Does 480 divide 190857149? False Does 1338 divide 9156923? False Is 2309797476 a multiple of 1519? True Is 19 a factor of 23152089? True Does 5109 divide 1476158697? True Does 2422 divide 206126223? False Is 9200790 a multiple of 111? True Is 50 a factor of 21129950? True Is 140 a factor of 1064421558? False Is 443888536 a multiple of 56? True Does 974 divide 1395746913? False Is 271 a factor of 3363802676? True Does 99 divide 3929647124? False Is 177 a factor of 1038317490? False Does 1540 divide 247072936? False Is 562 a factor of 624787764? True Is 168382802 a multiple of 533? False Does 17 divide 74827775? False Is 98456520 a multiple of 1445? True Is 100294084 a multiple of 1292? True Is 130 a factor of 52331240? True Does 2172 divide 120339660? True Does 207 divide 39730271? False Is 941 a factor of 147849507? False Is 293928523 a multiple of 7? True Is 3 a factor of 2024415? True Is 75314894 a multiple of 229? True Does 1998 divide 128410692? False Is 111 a factor of 12930794? False Does 31 divide 271381595? True Is 436768888 a multiple of 86? True Does 14 divide 1168849441? False Is 188 a factor of 302097528? False Does 118 divide 1371054744? True Does 60 divide 444431424? False Does 111 divide 5200119156? False Is 17 a factor of 22989814? True Is 104 a factor of 1324099608? True Does 6 divide 36314863? False Is 177390841 a multiple of 4898? False Does 1671 divide 123692433? True Is 40 a factor of 84474224? False Is 154848343 a multiple of 13? True Is 59 a factor of 40102536? True Does 16 divide 226372668? False Does 89 divide 1216719? True Does 1882 divide 1524943196? True Is 27 a factor of 746655305? False Does 350 divide 2512037150? True Is 63 a factor of 363333422? False Does 24 divide 89643816? True Is 23 a factor of 2808852? True Does 365 divide 17959986? False Is 197 a factor of 62189157? True Is 97 a factor of 77307623? False Is 1385177 a multiple of 36
{ "pile_set_name": "DM Mathematics" }
e second derivative of -4/3*a**4 - a**t + a + 2*a**3 + 0. Determine i, given that m(i) = 0. 1/4, 1/2 Let a(j) be the third derivative of j**5/390 - j**4/39 + 4*j**3/39 - j**2. Factor a(w). 2*(w - 2)**2/13 Let v(u) be the second derivative of u**5/90 - 2*u**4/27 + 5*u**3/27 - 2*u**2/9 + 14*u. Determine x so that v(x) = 0. 1, 2 Suppose 3*q = 5*x - 91, 5*q - 21 - 14 = -x. Suppose -5*m + 57 = 2*r, 0 = 2*m + 2*m - x. Factor -29*n - 216*n**3 - 216*n**2 - r - 81*n**4 - 63*n - 4*n. -(3*n + 2)**4 Factor -88*x**2 - x**3 - 3*x**3 + 3*x**3 + 82*x**2 - 9*x. -x*(x + 3)**2 Let h(l) be the second derivative of l**4/6 - 11*l**3/9 + 2*l**2 + 20*l. Factor h(d). 2*(d - 3)*(3*d - 2)/3 Factor -21/2*p + 3/2*p**3 + 9 + 0*p**2. 3*(p - 2)*(p - 1)*(p + 3)/2 Let w(z) = z**3 + z**2 + 2*z. Let i(f) = f**2 + f. Let u(x) = -10*i(x) + 5*w(x). Find q, given that u(q) = 0. 0, 1 Factor -2/3*n**3 + 2*n**2 + 0 + 0*n. -2*n**2*(n - 3)/3 Let b(n) = n**5 + n**4 + 11*n**3 + 11*n**2. Let t(i) = -3*i**5 - 4*i**4 - 33*i**3 - 32*i**2. Let a(l) = 17*b(l) + 6*t(l). Factor a(k). -k**2*(k + 1)**2*(k + 5) Let h(m) be the first derivative of -1 + 0*m + 0*m**3 + 1/20*m**4 - 1/10*m**2. Factor h(o). o*(o - 1)*(o + 1)/5 Let w(l) be the first derivative of l**7/1260 + l**6/360 - l**4/72 - l**3/36 + l**2/2 + 6. Let h(a) be the second derivative of w(a). Solve h(r) = 0. -1, 1 Let k(j) = 6*j**4 - 9*j**3 - 3*j**2 + 6*j. Let q(f) = -5*f**4 + 8*f**3 + 2*f**2 - 6*f + 1. Let i(x) = -2*k(x) - 3*q(x). Determine u so that i(u) = 0. -1, 1 Let r(t) be the first derivative of -3*t**4/2 - 2*t**3 + 17*t**2 + 20*t - 4. Let x(n) = n**3 + n**2 - 7*n - 4. Let u(m) = -3*r(m) - 14*x(m). Factor u(b). 4*(b - 1)*(b + 1)**2 Let p be ((-3)/(9/(-6)))/(-2). Let z be (-18)/45*25*p. Find x, given that -26*x**2 - z*x**4 + 82/3*x**3 - 4/3 + 10*x = 0. 1/3, 2/5, 1 Suppose 2*g + 2*g = 12. Let a be ((-18)/g)/(-3)*1. Solve -5*x**3 + 4*x + 0*x**4 + 4 + x**5 + 4*x + x**a - x**4 = 0 for x. -1, 2 Let q be 10*(-8)/(-30) - (2 + 0). Factor -v - q - 1/3*v**2. -(v + 1)*(v + 2)/3 Let t(b) be the second derivative of b**8/26880 + b**7/10080 - b**6/1440 + b**4/12 + 7*b. Let u(v) be the third derivative of t(v). Solve u(y) = 0. -2, 0, 1 Let j(k) be the third derivative of -k**5/210 - k**4/28 - 2*k**3/21 - k**2. Factor j(a). -2*(a + 1)*(a + 2)/7 Let a(q) = q**3 - 4*q**2 + 6*q - 5. Let m be a(3). Factor 0*h**2 + 0*h + 0 - 1/4*h**3 - 1/4*h**m. -h**3*(h + 1)/4 Let t(g) = 3*g - 22. Let u be t(8). Let d(x) be the third derivative of 0 + 0*x**3 - 1/330*x**5 + 0*x - 4*x**u - 1/66*x**4. Factor d(l). -2*l*(l + 2)/11 Factor -2*g**2 - 4/5*g**3 + 0 + 6/5*g. -2*g*(g + 3)*(2*g - 1)/5 Let l(a) be the second derivative of a**8/2240 + a**7/560 + a**6/480 - a**4/3 + 4*a. Let t(c) be the third derivative of l(c). Factor t(s). 3*s*(s + 1)*(2*s + 1)/2 Let b(c) = -2*c. Let x be b(6). Let h be x/(-21)*(-2)/(-4). Factor 2/7*k**2 + 0*k + 0 + h*k**3. 2*k**2*(k + 1)/7 Let x(s) be the second derivative of s**5/160 + 2*s - 62. Find z, given that x(z) = 0. 0 Let c(u) = -13*u**2 - 25*u - 19. Let q(p) = 6*p**2 + 12*p + 9. Suppose 3*h = -2*h - n - 32, -3*h - 33 = -4*n. Let l(y) = h*q(y) - 3*c(y). Solve l(k) = 0 for k. -2, -1 Let o be 4*3/((-18)/(-3)). Let s(x) be the second derivative of 0*x**3 + 1/10*x**5 + 0*x**2 - 1/24*x**4 - o*x + 0. Factor s(p). p**2*(4*p - 1)/2 Let p(a) = 4*a**2 - a. Let w(m) = -7*m**2 + 2*m. Let v(t) = 5*p(t) + 3*w(t). Factor v(s). -s*(s - 1) Let d = 117 - 113. Let f(v) be the second derivative of 0*v**3 + v + 3/70*v**5 + 1/42*v**d + 0 - 4/105*v**6 + 0*v**2. Determine t, given that f(t) = 0. -1/4, 0, 1 Let q(p) be the second derivative of -5*p**4/12 + 5*p**3/2 + 10*p**2 + 6*p. Find g such that q(g) = 0. -1, 4 Let c = 1862/3 + -633. Let j = c + 13. Suppose j - p + 1/3*p**2 = 0. What is p? 1, 2 Let a(x) be the second derivative of x**4/12 - x**3/6 - 10*x. Let o be a(0). Let o - 2/5*k**2 + 4/5*k = 0. Calculate k. 0, 2 Suppose 1 - 3*x + 0*x**2 + x - 2*x**2 + 3*x**2 = 0. What is x? 1 Let z be 2/7 - 188/(-28). Factor 7*d - d**4 - z*d - d**3. -d**3*(d + 1) Let n(k) = 9*k**2 - 12*k - 11. Let u(o) = 28*o**2 - 36*o - 32. Let m(h) = 16*n(h) - 5*u(h). Factor m(f). 4*(f - 4)*(f + 1) Let h = -1/35 - -59/840. Let t(u) be the first derivative of 0*u - 1/20*u**5 + 2 - 1/16*u**4 + 0*u**2 + 1/12*u**3 + h*u**6. Determine a, given that t(a) = 0. -1, 0, 1 Let b = -191 + 958/5. Factor -4/5 + 4/5*g**3 - 4/5*g + b*g**2 + 1/5*g**4. (g - 1)*(g + 1)*(g + 2)**2/5 Let v(h) = -6*h + 3*h - h. Let c(j) = -j**2 - j. Let s(z) = -2*c(z) + v(z). Factor s(n). 2*n*(n - 1) Let f(y) be the third derivative of 0*y**4 + 0 - 1/2*y**3 + 0*y + 1/20*y**5 - 3*y**2. Factor f(z). 3*(z - 1)*(z + 1) Let k be 6 + 1/(4/(-12)). Let d be ((-1)/(-9)*k)/1. Factor -d*q**4 + 2/3*q**3 + 0*q**2 - 2/3*q + 1/3. -(q - 1)**3*(q + 1)/3 Suppose -7*u + 18 = -u. Let 1/3 - b**2 - 2/3*b**u + 0*b = 0. What is b? -1, 1/2 Factor 18*t + 3*t**2 - 11*t**2 + 5*t**2. -3*t*(t - 6) Let j(q) be the first derivative of q**7/21 - q**6/15 + 2*q + 1. Let w(p) be the first derivative of j(p). Let w(f) = 0. Calculate f. 0, 1 Let j(q) = 7*q - 10. Let l be j(3). Suppose l = 4*v + 3. Factor -1/2*t**v + 0 - 1/4*t**3 - 1/4*t. -t*(t + 1)**2/4 Let q(t) be the first derivative of -98*t**5/15 + 7*t**4/3 + 32*t**3/3 - 14*t**2/3 + 2*t/3 + 7. Find s such that q(s) = 0. -1, 1/7, 1 Let i = 136/3 - 45. Let v = 294 + -292. Let 2/3*k + i + 1/3*k**v = 0. Calculate k. -1 Suppose 0 = -2*l - 2*l. Let s = -3 + 5. Factor l*o + 1/4*o**s - 1/4. (o - 1)*(o + 1)/4 Suppose 8/5 - 4*i**2 + 12/5*i = 0. What is i? -2/5, 1 Let r(h) be the first derivative of 1/2*h**4 - h**2 - 2/9*h**3 + 2/3*h + 1. Determine w so that r(w) = 0. -1, 1/3, 1 Let s be (-186)/31*1*2/(-42). Factor s*x + 0 + 2/7*x**2. 2*x*(x + 1)/7 Let i(k) = k**2 + k - 4. Let a be i(-3). Find f such that 4*f**4 - 2*f**4 - 2*f**a + f - 2*f + 0*f + f**5 = 0. -1, 0, 1 Let c(z) be the second derivative of z**5/20 + z**4/12 - z**3/6 - z**2/2 + 64*z. Solve c(d) = 0. -1, 1 Suppose -q = 2*m - 6, -q = 4*m + 4*q - 18. Suppose -m*s + 2 = -2. Factor s + 1/2*d**2 - 2*d. (d - 2)**2/2 Let s(v) be the first derivative of v**6/2 + 6*v**5/5 - 2*v**3 - 3*v**2/2 - 9. Factor s(n). 3*n*(n - 1)*(n + 1)**3 Let u(l) be the second derivative of -l**4/54 + 8*l. Factor u(n). -2*n**2/9 Let 1 - 3/4*c**2 - 1/8*c**3 + 1/2*c + 1/8*c**4 = 0. Calculate c. -2, -1, 2 Suppose 0 = 4*o - 3*j - 3, -3*o + 4*j = j. Suppose -2*b - o = k, -4*k + 18 = -2*k - 4*b. Factor -4 + 15*p**2 + k*p**2 - 54*p + 58 - 2*p**3. -2*(p - 3)**3 Solve 5*n**3 + 2*n**4 - 8*n**2 + 4 - 4*n + 4*n**4 - 2*n**4 - 4*n**5 + 3*n**3 = 0 for n. -1, 1 Let j(m) = -m**2 - 10*m + 13. Let w be j(-11). What is r in 6/5*r + 1/5*r**w + 16/5*r**4 - 24/5*r**3 + 1/5 = 0? -1/4, 1 Let n be 2 - (0 + 3) - -5. Let -7*y**2 - 2*y + 4*y**4 + 3*y**n - 6*y**3 - 4*y**5 + 12*y**3 = 0. Calculate y. -1, -1/4, 0, 1, 2 Let k(i) = -2*i**2 - 2*i - 1. Let b(m) = -m**2 + m - 1. Let n(g) = -b(g) + k(g). Factor n(o). -o*(o + 3) Let -2/7*g**4 - 8/7*g**3 + 0 - 4/7*g - 10/7*g**2 = 0. Calculate g. -2, -1, 0 Let p(r) = -4*r**2 - 17*r. Let z(m) = -12*m**2 - 50*m. Let b(a) = 14*p(a) - 5*z(a). Find h such that b(h) = 0. -3, 0 Let n be 2/8 + -4 + 4. Let c(m) be the second derivative of 1/40*m**5 - 1/12*m**3 + 0 - 1/24*m**4 + n*m**2 - m. Find f, given that c(f) = 0. -1, 1 Let d(x) be the third derivative of 0*x + 1/210*x**5 - 1/28*x**4 + 3*x**2 + 2/21*x**3 + 0. Solve d(a) = 0. 1, 2 Let f(h) be the first derivative of -h**8/672 - h**7/105 - h**6/40 - h**5/30 - h**4/48 - h**2/2 + 2. Let g(p) be the second derivative of f(p). Factor g(c). -c*(c + 1)**4/2 Let z(j) be the first derivative of j**3/9 - j**2/3 + j/3 - 8. Factor z(c). (c - 1)**2/3 Suppose h + 0*h = 0. Suppose -k + h + 1 = m, 2*k - 4 = -3*m. Factor -2/9*t**m + 0 + 0*t + 0*t**3 + 2/9*t**4. 2*t**2*(t - 1)*(t + 1)/9 Let n(k) be the third derivative of -k**7/70 + k**6/40 + k**5/20 - k**4/8 - 23*k**2. Factor n(d). -3*d*(d - 1)**2*(d + 1) Let f(o) = o**2 - 6*o**2 + 2 + o**3 - 2*o**2. Let c be f(7). Find y such that 8*y**3 + 0*y**3 + 7*y**c + y - y**2 = 0. -1/2, -1/4, 0 Factor w - 2*w + 4*w + 2*w - 3*w**2 - 2. -(w - 1)*(3*w - 2) Let g(x) = 7*x**4 + 3*x**3 - 4*x**2 + 6*x - 6. Let j(f) = -15*f**4 - 7*f**3 + 9*f**2 - 13*f + 13. Let a(t) = -13*g(t) - 6*j(t). Determine i so that a(i) = 0.
{ "pile_set_name": "DM Mathematics" }
ing 1 y, 1 r, and 1 l. 1/12 What is prob of picking 2 s when two letters picked without replacement from {r: 5, s: 3}? 3/28 Four letters picked without replacement from {n: 13, h: 1, j: 1, x: 2, t: 1, o: 2}. Give prob of picking 2 x and 2 n. 26/1615 What is prob of picking 1 s and 3 u when four letters picked without replacement from uusus? 2/5 Two letters picked without replacement from {u: 17, r: 2}. Give prob of picking 2 u. 136/171 Two letters picked without replacement from crrrlrcarrra. What is prob of picking 2 a? 1/66 Calculate prob of picking 3 e and 1 b when four letters picked without replacement from {e: 2, b: 3, u: 4}. 0 What is prob of picking 1 e, 1 a, and 1 v when three letters picked without replacement from evvddeddvdedefaadf? 1/34 What is prob of picking 2 i and 2 k when four letters picked without replacement from {i: 4, k: 3}? 18/35 Two letters picked without replacement from {j: 5, c: 3, f: 5}. What is prob of picking 1 f and 1 j? 25/78 Calculate prob of picking 2 r when two letters picked without replacement from rrnnr. 3/10 Two letters picked without replacement from {e: 2, r: 9, h: 8}. Give prob of picking 1 e and 1 h. 16/171 Two letters picked without replacement from nkzsj. What is prob of picking 1 k and 1 s? 1/10 Calculate prob of picking 3 g when three letters picked without replacement from llgllglggg. 1/12 What is prob of picking 1 r and 2 z when three letters picked without replacement from {r: 2, z: 7}? 1/2 What is prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, r: 1, q: 3, g: 1}? 2/7 Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {z: 1, u: 2, o: 1, p: 5}. 1/18 What is prob of picking 2 y and 2 d when four letters picked without replacement from {d: 3, e: 4, y: 3, h: 3}? 9/715 What is prob of picking 2 x and 1 r when three letters picked without replacement from xrxxrxrxrr? 5/12 Calculate prob of picking 2 x when two letters picked without replacement from {x: 5, e: 3, b: 8}. 1/12 Three letters picked without replacement from {c: 2, k: 1, l: 2, e: 2, q: 1}. Give prob of picking 1 c, 1 l, and 1 q. 1/14 What is prob of picking 1 f and 1 b when two letters picked without replacement from xaxfabbxxb? 1/15 What is prob of picking 1 m, 1 l, 1 j, and 1 d when four letters picked without replacement from {l: 1, d: 2, m: 7, j: 6, y: 3}? 7/323 Calculate prob of picking 1 y and 1 t when two letters picked without replacement from dqqqutyq. 1/28 What is prob of picking 2 l when two letters picked without replacement from {v: 1, b: 6, l: 6, u: 6}? 5/57 What is prob of picking 1 z and 1 g when two letters picked without replacement from {a: 1, b: 1, g: 1, l: 2, i: 1, z: 1}? 1/21 Two letters picked without replacement from zwzzszzws. Give prob of picking 2 w. 1/36 What is prob of picking 1 l and 2 u when three letters picked without replacement from byuybubebgybglbbb? 1/680 Two letters picked without replacement from rpnnp. What is prob of picking 2 n? 1/10 Four letters picked without replacement from rdrrrdrrrr. What is prob of picking 2 r and 2 d? 2/15 Calculate prob of picking 1 z and 1 m when two letters picked without replacement from mmzzmzmzzzzzmmzzzz. 8/17 Four letters picked without replacement from hsshshhh. What is prob of picking 3 s and 1 h? 1/14 Two letters picked without replacement from jjnrjrujunjjjnjn. Give prob of picking 1 j and 1 u. 2/15 Calculate prob of picking 1 m and 2 d when three letters picked without replacement from {m: 1, p: 2, d: 1}. 0 Two letters picked without replacement from nknkknnnkookkkoo. What is prob of picking 2 k? 7/40 Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjwjjjjjjww. 13/20 Two letters picked without replacement from eheleelf. What is prob of picking 1 e and 1 f? 1/7 Two letters picked without replacement from {c: 1, w: 2, t: 2, e: 2, u: 1}. What is prob of picking 1 t and 1 e? 1/7 Calculate prob of picking 3 k when three letters picked without replacement from {g: 12, v: 1, k: 3}. 1/560 Three letters picked without replacement from {w: 1, o: 1, r: 5, b: 2, n: 1}. What is prob of picking 1 o, 1 b, and 1 n? 1/60 Three letters picked without replacement from hhfk. Give prob of picking 2 h and 1 k. 1/4 What is prob of picking 1 x and 3 t when four letters picked without replacement from {t: 7, b: 4, x: 3}? 15/143 Four letters picked without replacement from cixlkcckcccxcxxx. Give prob of picking 1 k and 3 x. 1/91 Four letters picked without replacement from {x: 2, a: 1, j: 1, t: 3}. What is prob of picking 1 t, 2 x, and 1 j? 3/35 What is prob of picking 1 z and 3 y when four letters picked without replacement from {z: 6, y: 7}? 42/143 Two letters picked without replacement from lbljojjjzoljjll. Give prob of picking 2 j. 1/7 Three letters picked without replacement from {h: 1, e: 1, a: 1, s: 1, k: 2, v: 1}. What is prob of picking 1 v, 1 h, and 1 k? 2/35 Four letters picked without replacement from {p: 6, i: 7}. What is prob of picking 2 i and 2 p? 63/143 What is prob of picking 1 h and 1 r when two letters picked without replacement from rrhhhr? 3/5 Calculate prob of picking 1 j and 1 l when two letters picked without replacement from lllvvlvvlvvvlrjrvj. 4/51 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {c: 1, b: 1, i: 2, j: 1}. 1/5 What is prob of picking 1 l and 1 y when two letters picked without replacement from yftol? 1/10 Two letters picked without replacement from fvaxawn. Give prob of picking 1 n and 1 w. 1/21 Three letters picked without replacement from {f: 1, n: 2, g: 1, m: 1, s: 1, e: 1}. Give prob of picking 1 f, 1 m, and 1 n. 2/35 Three letters picked without replacement from akkkkkkakpkpakkapk. Give prob of picking 1 a and 2 p. 1/68 What is prob of picking 1 z and 3 e when four letters picked without replacement from zzzzeeezzze? 14/165 What is prob of picking 2 r and 1 s when three letters picked without replacement from ssrrs? 3/10 Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {r: 2, m: 3, y: 6, e: 2}. 15/143 Three letters picked without replacement from vgoeoggbebebvvgo. What is prob of picking 1 g and 2 o? 3/140 Calculate prob of picking 1 w and 2 l when three letters picked without replacement from {l: 5, w: 15}. 5/38 Three letters picked without replacement from {r: 1, w: 1, e: 2, v: 4}. What is prob of picking 1 r, 1 e, and 1 w? 1/28 What is prob of picking 2 w and 2 d when four letters picked without replacement from eppddddbawawaaa? 2/455 Two letters picked without replacement from ssssppssspsmsss. Give prob of picking 1 s and 1 p. 11/35 Two letters picked without replacement from {k: 5, j: 3, i: 3, m: 1, x: 1, v: 5}. Give prob of picking 1 j and 1 k. 5/51 Calculate prob of picking 4 l when four letters picked without replacement from {a: 7, l: 5}. 1/99 What is prob of picking 2 o and 1 g when three letters picked without replacement from xxgdddloxxuxdxu? 0 What is prob of picking 1 x, 1 k, and 1 m when three letters picked without replacement from {k: 1, q: 5, m: 4, x: 1, w: 9}? 1/285 Three letters picked without replacement from xsssxxssssxx. Give prob of picking 2 x and 1 s. 7/22 Two letters picked without replacement from rruprpurrrpur. What is prob of picking 1 p and 1 r? 7/26 Calculate prob of picking 1 j, 1 u, 1 d, and 1 t when four letters picked without replacement from {t: 2, j: 1, d: 1, u: 1}. 2/5 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ttxotooxooxoo. 7/26 Four letters picked without replacement from {y: 8, t: 1, q: 4, l: 2}. What is prob of picking 2 q and 2 y? 8/65 What is prob of picking 1 r and 1 n when two letters picked without replacement from {l: 1, r: 1, d: 2, p: 1, k: 1, n: 1}? 1/21 What is prob of picking 1 r and 3 b when four letters picked without replacement from {r: 1, b: 17}? 2/9 What is prob of picking 2 z and 1 c when three letters picked without replacement from xiiiziiiczzhihzx? 3/280 What is prob of picking 1 f, 2 j, and 1 a when four letters picked without replacement from {a: 1, f: 3, l: 1, m: 2, j: 4, i: 1}? 2/55 Four letters picked without replacement from {c: 2, m: 2, s:
{ "pile_set_name": "DM Mathematics" }
s. 5 Solve 57 - 9 = 5*d - 11*d for d. -8 Solve -14*g + 57*g - 13*g - 330 = 0 for g. 11 Solve 51*h + 36 = 164 - 791 for h. -13 Solve 79*f = -75*f + 374 + 704 for f. 7 Solve 0 = -1293*z + 1282*z + 66 for z. 6 Solve 271 = 113*j - 83 - 663 for j. 9 Solve -102*j = -474 - 138 for j. 6 Solve 17*z - 80 - 72 + 50 = 0 for z. 6 Solve -134 + 311 = 47*j - 340 for j. 11 Solve -16*a - 590 = -430 for a. -10 Solve -491*l = -475*l - 16 for l. 1 Solve 8*t - 4550 = -4542 for t. 1 Solve 145 + 707 = 144*x - 444 for x. 9 Solve 162*a + 30 = 164*a for a. 15 Solve 498*k + 600 = 598*k for k. 6 Solve -165*d - 38*d + 1854 = -100*d for d. 18 Solve 45*t = 75078 - 76113 for t. -23 Solve 18*p - 135 + 365 = -184 for p. -23 Solve 9*f + 241*f - 750 = 0 for f. 3 Solve 355*k - 1929 + 342 = 188 for k. 5 Solve -58 + 1303 = 83*m for m. 15 Solve -111 = -48*f + 273 for f. 8 Solve 108*c = 17 - 71 - 54 for c. -1 Solve 0 = 15*l + 678*l + 13860 for l. -20 Solve 3263 = 7*l + 3354 for l. -13 Solve 565 - 279 = -55*v - 88*v for v. -2 Solve -n + 126 - 48 = 5*n for n. 13 Solve -4189*x + 4185*x + 28 = 0 for x. 7 Solve 396*j + 112*j - 13808 = -355*j for j. 16 Solve 8*n - 3*n = 52 - 37 for n. 3 Solve 4*j = 76 - 96 for j. -5 Solve 34*b - 76 = 65 - 141 for b. 0 Solve 306*u - 1064 = 382*u for u. -14 Solve 666*i + 11173 = -2813 for i. -21 Solve 4063 - 3489 = 82*q for q. 7 Solve -13*j + 8803 = 95*j + 9019 for j. -2 Solve 0 = -298*g - 149 - 6340 + 827 for g. -19 Solve 19*h - 40 + 271 = -73 for h. -16 Solve -8*t + 6*t + 275 = 23*t for t. 11 Solve 16*a + 10900 - 10804 = 0 for a. -6 Solve -4*x - 66 = 10*x - 8*x for x. -11 Solve -335*x = -662*x + 303*x - 48 for x. -2 Solve -31*q - 39*q = 910 for q. -13 Solve -24*k - 1 + 547 = 15*k for k. 14 Solve 115*x + 435 = 144*x for x. 15 Solve -9*y - 19*y - 265 = -97 for y. -6 Solve 1 + 1 = -v - 6 for v. -8 Solve -19 + 785 = -76*t - 70 for t. -11 Solve -n - 176 + 350 = 177 for n. -3 Solve -12*k - 6 = -4 + 22 for k. -2 Solve -69*t + 31 = -38 for t. 1 Solve 0 = -322*l + 284*l + 5 - 499 for l. -13 Solve -282*c + 1536 = -620*c + 274*c for c. -24 Solve -19675*g = -19680*g + 120 for g. 24 Solve 3802 - 3912 = -22*x for x. 5 Solve -35*n + 52 + 68 = -20 for n. 4 Solve -6*b = 11*b - b - b for b. 0 Solve -78 = -44*s + 122*s for s. -1 Solve 0 = 37*n + 194 + 250 for n. -12 Solve 228 = -20*i + 3*i - 21*i for i. -6 Solve 2338*q = 2326*q - 120 for q. -10 Solve 2*n + 508 = -12*n + 382 for n. -9 Solve 14*r + 80*r + 188 = 0 for r. -2 Solve 193*n - 10 = 393*n - 201*n for n. 10 Solve 2589 = 55*n + 128*n - 1071 for n. 20 Solve 3183 = -33*c + 2226 for c. -29 Solve 45*f + 21 = -204 for f. -5 Solve 8217 + 3933 = 301*w + 185*w for w. 25 Solve 850*f + 726 = 15176 for f. 17 Solve -3599 = -14*m - 3529 for m. 5 Solve -76*o + 113 + 101 = -242 for o. 6 Solve -41*g + 392 + 433 = -405 for g. 30 Solve -49978*n = -49964*n + 126 for n. -9 Solve -16*y - 26*y - 4 = -466 for y. 11 Solve 0 = -42*d + 523 + 23 for d. 13 Solve -645*s - 37851 = 576*s for s. -31 Solve 144*u - 173*u - 348 = 0 for u. -12 Solve -40*n = 8*n - 30*n - 90 for n. 5 Solve 11*g = -52*g - 1220 + 23 for g. -19 Solve -32 = -66*b + 166 for b. 3 Solve 0 = -17578*p + 17666*p + 117 - 469 for p. 4 Solve 2279*h - 745*h = -33748 for h. -22 Solve 21*a = 18*a + 24 for a. 8 Solve -4*x + 775 - 679 = 0 for x. 24 Solve 311*w = 2911 + 1754 for w. 15 Solve -281*x + 93*x + 2068 = 0 for x. 11 Solve 2700 + 6732 = 393*b for b. 24 Solve 16*k - 709 = -853 for k. -9 Solve 147*u + 264 = 191*u for u. 6 Solve 0 = -403*n + 568 + 641 for n. 3 Solve -1843 = -858*i + 2447 for i. 5 Solve 1528*k = 1337*k - 1910 for k. -10 Solve -256*i + 37 = -281*i - 13 for i. -2 Solve 668 + 88 = 63*b for b. 12 Solve -362 = 74*k - 1472 for k. 15 Solve -13*t = 10*t - 16*t + 8*t for t. 0 Solve -5022 - 893 = 49*n + 1134*n for n. -5 Solve 30*z - 73539 + 72639 = 0 for z. 30 Solve 8491 + 17759 = -750*v for v. -35 Solve 47*n = 111*n + 22*n - 258 for n. 3 Solve -6*z = 73*z + 62*z + 705 for z. -5 Solve 51*f = -11 + 317 for f. 6 Solve 56*p - 31*p + 53*p - 702 = 0 for p. 9 Solve 33 = 13*o + 7 for o. 2 Solve 0 = 3*y - 77*y - 483 + 1445 for y. 13 Solve -937 + 209 = 104*d for d. -7 Solve 23*w - 115*w - 644 = 0 for w. -7 Solve -174*m + 196*m = 176 for m. 8 Solve 4*d + 8 - 53 = 3 for d. 12 Solve 160*w - 192 = 154 + 454 for w. 5 Solve 0 = 24*l - 754 + 562 for l. 8 Solve -39*z + 216 + 160 = -131 for z. 13 Solve -1503*t + 522*t + 2820 + 5028 = 0 for t. 8 Solve 10*y + 233 - 73 = 0 for y. -16 Solve -49*i - 44 = 290 + 401 for i. -15 Solve 0 = -35*p + 1706*p + 31326 - 1248 for p. -18 Solve h = 58*h - 218 + 47 for h. 3 Solve -93 = -6*c - 159 for c. -11 Solve 42*q - 8 - 7 = 27 for q. 1 Solve 7884*s - 82 = 7925*s for s. -2 Solve 313*v - 885*v = -5720 for v. 10 Solve -18*r + 183*r = 23*r for r. 0 Solve -24*l + 127298 = 127394 for l. -4 Solve 389 + 227 = -37*j + 61 for j. -15 Solve -156*x - 226 = 710 for x. -6 Solve -12239*f - 121 = -12250*f for f. 11 Solve -9*s - 184 + 274 = 0 for s. 10 Solve -419*j - 5060 = 87*j for j. -10 Solve -163*w + 828 = -209*w for w. -18 Solve 0 = 1612*z - 1328*z - 3408 for z. 12 Solve -77128 + 75768 = 40*y for y. -34 Solve 76*g + 14 = -15*g - 168 for g. -2 Solve 0 = 18*l + 15*l - 14*l - 323 for l. 17 Solve 0 = -18*t - 24*t + 249 + 381 for t. 15 Solve 21*q = -143*q - 1218 - 1078 for q. -14 Solve -5369*o + 5342*o = -297 for o. 11 Solve 0 = -107*w + 138*w + 620 for w. -20 Solve -1090*q = -1062*q - 7 + 35 for q. -1 Solve -m + 15*m + 196 - 224 = 0 for m. 2 Solve 227 = -28*y - 249 for y. -17 Solve -1616*z = 10288 + 7488 for z. -11 Solve 440 = -30444*l + 30532*l for l. 5 Solve 186*g + 1389 - 87 = 0 for g. -7 Solve 0 = 2*k - 674 + 678 for k. -2 Solve -2621 = -161*c - 206 for c. 15 Solve 5105*x = 5152*x + 987 for x. -21 Solve 1634 + 342 = 217*a - 65*a for a. 13 Solve 168*z = 1191 - 183 for z. 6 Solve -9*x + 913 = 74*x for x. 11 Solve 24*a = -6*a + 5*a - 150 for a. -6 Solve -18013*s + 18032*s - 86 = -580 for s. -26 Solve 1390*g - 1383*g = 42 + 21 for g. 9 Solve 81*d = -3*d + 18*d + 264 for d. 4 Solve -879 = -175*s - 967 - 3237 for s. -19 Solve -w - 424 = -11*w - 43*w for w. 8 Solve -5824 = -1222*u + 450*u + 564*u for u. 28 Solve -184*k + 1656 = -1278 + 726 for k. 12 Solve -351*w + 169*w = -180*w - 12 for w. 6 Solve 2058 = -5128*y + 5030*y for y. -21 Solve 4183 = 1053*z - 7400 for z. 11 Solve 306*l + 674*l + 19049 = -2511 for l. -22 Solve 12*y + 5872 - 5704 = 0 for y. -14 Solve 27*m - 77*m + 2442 = 2542 for m. -2 Solve -330*g + 80 = -670*g + 332*g for g. -10 Solve -28708*o = -28685*o - 345 for o. 15 Solve -325*m + 1497 = -35*m + 6427 for m. -17 Solve -7*b + 463*b - 6564 + 636 = 0 for b. 13 Solve 11*k + 549 + 544 = 1082 for k. -1 Solve -121*f + 386*f - 5035 = 0 for f. 19 Solve 7696 = -24*z + 7360 for z. -14 Solve -8232 = -96*l - 6984 for l. 13 Solve 11327 = 58*s + 10399 for s. 16 Solve -684*x + 372*x = -335*x - 253 for x. -11 Solve -164*b = 220*b + 198*b - 4656 for b. 8 Solve 45*l + 70*l - 20 = 210 for l. 2 Solve 239*q - 1772 = -338 for q. 6 Solve -56*r - 280 = 220 - 52 for r. -8 Solve 34*m = -83*m - 138*m + 3570 for m. 14 Solve -35*l + 34*l - 234 = 25*l for l. -9 Solve 93*m + 70 = 37*m + 46*m for m. -7 Solve 3*l + 280 = 3*l - 35*l for l. -8 Solve 218*m = 377 + 640 + 73 for m. 5 Solve -24*t - 65 = -11*t - 8*t for t. -13 Solve -129*n - 1394 - 1890 = -446 for n. -22 Solve -36 = -51*p + 65 - 152 for p. -1 Solve -48*l + 553 - 58 + 609 = 0 for l. 23 Solve -631*v = 8252 + 4999 for v. -21 Solve -2*r = -213 + 191 for r. 11 Solve 43*l = -5*l - 56*l - 832 for l. -8 Solve -109*a - 4401 + 19257 = 510*a for a. 24 Solve -4*b - 3270 = -3206 for b. -16 Solve 12*t = 11754 - 11850 for t. -8 Solve -3*f - 9*f + 583 = -65*f for f. -11 Solve -13*h = 65*h + 126 + 732 for h. -11 Solve 929*h + 2880 = 1089*h for h. 18 Solve -45*g - 104 = 7*g - 0 for g. -2 Solve 20*l + 208 = -2*l - 4*l for l. -8 Solve -142*m + 17*m = 99*m - 6048 for m. 27 Solve 6*a + 105*a + 14*a = -250 for a. -2 Solve -82*v = -756*v - 8867 - 5287 for v. -21 Solve -16*n + 41 = -7 for n. 3 Solve 429*w - 556 + 3307 + 2397 = 0 for w. -12 Solve 0 = 420*v - 57*v + 7623 for v. -21 Solve -648*t + 652*t = 40 for t. 10 Solve -30*d + 60 = -10*d for d. 3 Solve -48 = -2498*h + 2492*h for h. 8 Solve 167*y = 27*y + 1820 for y. 13 Solve -22*m - 162 - 53 - 5 = 0 for m. -10 S
{ "pile_set_name": "DM Mathematics" }
n? 14 Let q be (3/(6/119))/((-2)/(-4)). What is the highest common divisor of 17 and q? 17 Let o(l) = l. Let f be o(7). Let c = -15 + 22. Calculate the highest common factor of f and c. 7 Suppose -4*s - 6 - 4 = n, 2*n - 4*s = 16. Let l be 249/13 + n/(-13). What is the highest common divisor of l and 19? 19 Let l(d) = -d**3 - 2*d**2 + 3*d. Let z be l(-5). Suppose 8*j = 3*j + z. Suppose -7*t + 2*t + 60 = 0. What is the highest common divisor of t and j? 12 Let c be (-1)/4 - 41/(-4). Let h = -57 + 167. What is the greatest common factor of h and c? 10 Let i(v) = v**3 + 26. Let l be i(0). Calculate the highest common divisor of l and 286. 26 Let g(f) = f - 33. Let s be g(42). Let k(t) = 3*t. Let b be k(3). What is the greatest common factor of b and s? 9 Let v(x) = -25*x - 1. Let i(h) = h**2 - 4*h + 2. Let g be i(3). Let o be v(g). Calculate the greatest common divisor of 16 and o. 8 Suppose -10*p + 13*p - 72 = 0. Calculate the greatest common factor of p and 60. 12 Let k(j) = 21*j + 1. Let h be k(1). Suppose -322 + 58 = -6*o. What is the greatest common factor of h and o? 22 Let c = 736 - 516. What is the highest common divisor of 20 and c? 20 Suppose -2*r + 55 = -6*c + c, 2*r - 57 = 3*c. What is the greatest common divisor of r and 10? 10 Suppose 4*m + 0 = -4. Let w be (m - 1) + 64/2. Let u = w - 2. What is the greatest common factor of u and 70? 14 Let u be 0 + -6 + -2 + 1. Let i = -4 - u. Suppose x + 24 = i*x. Calculate the highest common divisor of 18 and x. 6 Let a be -7*6/(-3)*1. Suppose a = -5*d + 74. Let c(p) = 11*p + 1. Let q be c(1). Calculate the highest common factor of d and q. 12 Let h = 217 - 87. Suppose 2*i = 5*a - h, -2*i - 9 + 75 = 2*a. Calculate the greatest common factor of 42 and a. 14 Let h(t) = -t**2 - 3*t + 4. Let z = -3 + 0. Let d be h(z). Suppose f + d*f - 236 = 4*m, -241 = -5*f - m. Calculate the greatest common factor of f and 16. 16 Let g be (-24)/(-14) - (-4)/14. Suppose -g*c = 2*r - 40, -c - 3*r - 2 = -32. Calculate the highest common divisor of 5 and c. 5 Let d(m) = 2*m**2 + 11*m + 23. Let x be d(-7). Calculate the greatest common divisor of 11 and x. 11 Let x be 1 - (-2 + 0) - 10. Let l = x + 5. Let h be (1 - 1) + (-144)/l. What is the greatest common factor of 12 and h? 12 Let n = 27 + -22. What is the greatest common factor of 2 and n? 1 Let h(m) = m**3 + 10*m**2 - 5*m - 2. Let r be h(-10). Calculate the greatest common factor of r and 32. 16 Suppose -w - 115 = -4*x, -3*x + 2*w - w + 86 = 0. Suppose -4*c + 3*d + x = -2*c, 4*d - 1 = -3*c. Calculate the highest common divisor of c and 28. 7 Let a(y) be the first derivative of 3*y**2/2 - 2. Let f be a(1). Let b be (f - -100) + -1 + 3. What is the highest common divisor of 15 and b? 15 Let n = -5 - -35. Suppose -3*z + 10 = 5*f, 4*f - f - 17 = -4*z. Suppose -10 = -z*q + n. What is the highest common factor of 64 and q? 8 Suppose -3*p + 4*o + 22 + 2 = 0, 4*p - 32 = o. Suppose 22 = -2*g - p. Let z be g/2*20/(-25). What is the greatest common divisor of z and 54? 6 Let c = 2373 - -229. Let l = c - 1556. Let d be l/10 + (-8)/(-20). Calculate the highest common divisor of 15 and d. 15 Let k(v) be the second derivative of -v**3/2 - v**2/2 + 3*v. Let u be k(-1). Suppose -225 = -3*o - u*o. Calculate the highest common factor of o and 5. 5 Let p(j) = 2*j + 9. Suppose 2*m + m = 18. Let q be p(m). What is the greatest common factor of 3 and q? 3 Let u(i) = -1 + 1 + 5 - 9*i. Let r be u(-5). Let g(m) = -m**3 - 14*m**2 + 20. Let v be g(-14). What is the greatest common divisor of v and r? 10 Suppose k + 5 = 6*k. Let u be (-1)/3 - 13/(-3). Calculate the greatest common factor of k and u. 1 Let t be (-1)/(-3 - -2) - (-4 + -23). What is the greatest common divisor of 196 and t? 28 Let d(y) = 2*y**2 + 3*y + 2. Let v be d(-6). Suppose 3*s = 2*s + 8. What is the highest common factor of s and v? 8 Let v = 42 - -30. Calculate the greatest common factor of v and 8. 8 Let n be (-2)/(-5) + (-746)/(-10). Suppose -33 - n = -3*t. What is the greatest common divisor of 9 and t? 9 Let u be (-3)/(5 - 2)*-2. Suppose 2*h + 11 = 5*i, 0 = u*h - h + i - 5. Suppose -3*b + h*b + 160 = 0. Calculate the greatest common factor of b and 20. 20 Suppose 5*s = 82 + 118. What is the highest common divisor of 10 and s? 10 Let a = 14 - 8. Calculate the highest common divisor of a and 6. 6 Let m(g) = g**3 + 3*g**2 - 4*g - 3. Let d be m(-3). Calculate the greatest common factor of 18 and d. 9 Let s be 0 - (-3 + 5 - 71). Suppose 0 = y - s + 6. Suppose t - 4*n + 14 - 37 = 0, 16 = 4*t + 3*n. What is the greatest common factor of t and y? 7 Suppose 12 = -s + 20. What is the greatest common factor of 8 and s? 8 Suppose 0 = 3*t - 325 - 377. Suppose 3*d + 78 = 6*d. What is the highest common divisor of d and t? 26 Let o be 753/18 + 4/24. What is the greatest common factor of 6 and o? 6 Let d = -298 - -421. Suppose 0 = -5*s - d + 318. Calculate the greatest common factor of 13 and s. 13 Let d(l) = -26*l**2 - 2*l + 1. Let u be d(1). Let x = u - -117. What is the greatest common factor of 36 and x? 18 Let n = -72 - -212. Calculate the greatest common divisor of n and 28. 28 Let g = 41 + -26. Let m(l) = 2*l - 4. Let q be m(7). Let h = 0 + q. Calculate the greatest common divisor of h and g. 5 Suppose -2*q - 7 = -q. Let g = q + 12. What is the greatest common divisor of g and 15? 5 Let v be 1926/15 + 4/(-10). Suppose -4*y - 178 = -2*a + 806, 0 = -3*y + 3*a - 738. Let d be 8/(-20) + y/(-15). What is the greatest common factor of v and d? 16 Suppose -3*h = -4 + 22. Let i = 10 + h. Let n be (-3)/((9/10)/(-3)). What is the highest common factor of n and i? 2 Let s = 173 - 83. Suppose 387 = 3*u + s. What is the greatest common divisor of u and 11? 11 Suppose -5*z + 250 = -155. Suppose -2*d - k + 36 = 2*d, 2*d = 3*k + 18. What is the greatest common factor of d and z? 9 Let a = 31 - 57. Suppose -5*t + 230 = 25. Let v = t + a. What is the highest common divisor of v and 60? 15 Suppose d - 8*d = -280. What is the highest common divisor of d and 1? 1 Let w(o) = -5*o. Let r be 1/(2 - (-2 - -3)). Let n be w(r). Let k(q) = -q**3 - 5*q**2 - 7*q - 5. Let t be k(n). Calculate the highest common divisor of t and 6. 6 Let h be (-2)/(2 - 280/135). What is the greatest common divisor of 3 and h? 3 Suppose 5*t = -2*a + 123, -4*t + 114 = -a + 26. Let f be (8 + 14)*(-46)/(-4). What is the highest common divisor of f and t? 23 Suppose -15 = -11*y + 6*y. What is the highest common divisor of 12 and y? 3 Let f = 13 - 13. Suppose f*a + 160 = 2*a. What is the highest common divisor of 8 and a? 8 Let w = 25 + 119. What is the greatest common factor of w and 18? 18 Let b = -32 + 228. Let o be (56/(-3))/(22/(-33)). What is the greatest common divisor of b and o? 28 Suppose -5*s - b + 2*b + 15 = 0, 0 = -5*s - 3*b + 15. Calculate the highest common factor of s and 6. 3 Let t = 24 + -16. Calculate the greatest common divisor of 16 and t. 8 Let g(s) = -s**3 - 3*s**2 - s + 1. Let k be g(-3). Let r be (k/(-6))/(6/9). Let b = 7 - r. What is the highest common factor of 56 and b? 8 Suppose 806 = 9*v + 77. What is the greatest common factor of 54 and v? 27 Let o(c) = 15*c**2 - 2*c - 4. Let u be o(-2). Calculate the greatest common factor of u and 20. 20 Suppose 4*p - 5 + 1 = 0, -3*p + 291 = 4*c. Let w = 27 + -9. Suppose -4*y = -2*y - w. Calculate the highest common factor of y and c. 9 Suppose -2*u + 4*c + 50 = 0, 2*u = -0*u - 3*c + 36. Let g = -13 + u. Let o be 22*1 - (-2)/(-1). Calculate the highest common factor of o and g. 4 Suppose -9*p + 24 = -p. What is the greatest common divisor of 39 and p? 3 Let z be 10/(-35)*(-81 - 3)/3. Calculate the highest common divisor of z and 24. 8 Suppose 2 = 4*t - 6. Suppose 3*v - 1 = 2. Let k be v/t + 34/4. What is the greatest common factor of k and 9? 9 Suppose -10*w + w = -117. Calculate the greatest common factor of w and 91. 13 Suppose 0 = 5*f + j - 5, 0 = -4*f - 3*j - j + 4. Calculate the highest common divisor of f and 3. 1 Let l(v) = v + 22. Let k be l(-10). Calculate the highest common factor of 48 and k. 12 Let d(y) = 15*y - 234. Let f be d(16). Let r be ((-6)/(-8))/((-2)/(-112)). Calculate the greatest common factor of f and r. 6 Let l = -10 + -14. Let p be (5/15)/((-1)/l). Calculate the greatest common divisor
{ "pile_set_name": "DM Mathematics" }
ose -n*c = -3*c - 23. Suppose 5*k = -3*d + 16, 5*d = -4*k - 5 + c. Is 2 a factor of k? True Suppose 2*t = -2*t + 8. Suppose 0 = -2*q + t*o - 6*o, 5*q + 4*o = 0. Suppose 2*b - 2 = -q, 0 = -y - b + 4. Is 3 a factor of y? True Suppose -202 = -5*f + 143. Is 16 a factor of f? False Let y = 251 + -119. Is y a multiple of 33? True Let r(y) = -y**3 + 6*y**2 + 8*y - 3. Let x be r(7). Let w be (-6)/x*(-40)/(-6). Let m = 14 + w. Does 4 divide m? True Let t(s) = -s**2 - 8*s + 10. Let x(v) = 4*v - 5. Let l(g) = -3*t(g) - 5*x(g). Let y be l(5). Let z = y + -58. Is 16 a factor of z? True Let x(k) = -k**2 - 29*k + 36. Is 17 a factor of x(-21)? True Suppose 2*c + 3 = 3*c. Suppose 0 = -c*w + 7*w - 116. Does 14 divide w? False Let n(m) = 2*m**2 + 2*m + 14. Is 18 a factor of n(-5)? True Suppose -6*q + 146 = -64. Does 7 divide q? True Let g(p) = 98*p + 1. Let d be g(-2). Let w = -325 - d. Let m = -91 - w. Is 14 a factor of m? False Suppose -4*d = -0*d + 4*u - 20, 0 = -2*d - 4*u + 20. Suppose 4*c - 100 = -c - 4*i, d = 5*i - 25. Does 4 divide c? True Let c(w) = w**2 + w. Let k(j) = 6*j**2 + 4*j - 1. Let t(z) = -5*c(z) + k(z). Let s be t(0). Does 6 divide 13 - (6/2 + s)? False Let r be 12/15*(-15)/(-6). Suppose r*u = -2*l - 2*u + 18, -4*l + u + 45 = 0. Does 3 divide l? False Let t = 17 - 26. Let o = -5 - t. Suppose -2*y - 16 = -o*y. Is y a multiple of 6? False Suppose -2*r = 5*r + 133. Let v = r - -86. Is v a multiple of 18? False Let m = 3 + -8. Let u = 13 + m. Is u even? True Let m = 16 - -6. Suppose 0*c + 10 = 5*c. Suppose -c*t + m = -2*h, -t + 2*t + 3*h + 9 = 0. Is 4 a factor of t? False Let u be (2 + -1)/(2/6). Let a be -1 - (-47 - (u + -1)). Suppose -4*z + a = -28. Is z a multiple of 12? False Let z(r) = 2*r**2 - 7*r + 10. Is z(7) a multiple of 16? False Suppose 2*x + 6 = -x. Let m be x*3*3/(-6). Suppose m = g - 5. Does 4 divide g? True Let x = -11 - -7. Is 2418/54 - x/18 a multiple of 12? False Suppose 125 = -3*l + 389. Is l a multiple of 15? False Let y(p) be the third derivative of p**5/60 - p**4/4 + 5*p**3/6 + p**2. Let w be y(5). Suppose 2*r - 106 + 18 = w. Is 13 a factor of r? False Is 25 a factor of (-4)/1 - 432/(-8)? True Suppose 4*q + 1591 = -4*o - q, -o = 2*q + 394. Is 13 a factor of (-12)/(-16) + o/(-16)? True Let l(b) = 0 + 5*b + 2*b**2 - 1 - 2*b. Suppose -9*o + 15 = -4*o. Is 10 a factor of l(o)? False Let m(c) = -9*c - 34. Is m(-14) a multiple of 19? False Let s = -50 - -9. Suppose -n + 4*n - 207 = 0. Let v = n + s. Does 14 divide v? True Let t(b) = 14*b + 2. Let f be t(7). Let x = f + -54. Suppose 0 = 4*r - x + 14. Is r a multiple of 7? False Let w(y) = -y**2 - 6*y + 9. Let p be w(-7). Suppose -5*x - 6 = -p*h, -4*h - x + 7 + 5 = 0. Suppose -h*j + 2*j = -4. Is 2 a factor of j? True Let f(q) = 17*q - 1. Let m be f(1). Suppose 2*l - m = -0*l. Is 8 a factor of l? True Suppose r + 172 = -3*r. Let v = r + 73. Is 7 a factor of v? False Suppose k - 4*k - 116 = -q, -4*q = k - 425. Let y = q + -65. Does 14 divide y? True Let s = 66 + -36. Does 6 divide s? True Let m(a) = -a**3 - 4*a**2 - 5*a + 1. Is 11 a factor of m(-6)? False Suppose 0 = 2*n + 3*n + 105. Does 4 divide ((-4)/(-3))/(-2)*n? False Suppose 2*w - 126 = -0*w. Is 9 a factor of w? True Let u(k) = -6*k + 18. Let w(b) = -7*b + 19. Let i(g) = 6*u(g) - 5*w(g). Let q = -1 + 1. Is 8 a factor of i(q)? False Suppose s = 4*q - 35, -3*q + 2*s + 10 = -2*s. Let g = -23 - q. Is 9 a factor of (1*-2)/(6/g)? False Let g = -44 + 78. Suppose -3*m + 5*y + g + 59 = 0, 5*m - 183 = -y. Does 12 divide m? True Let u(a) = -10*a + 3 + 8 + a**2 + 2. Suppose 4*q - 39 = -3*t, 3*q + q - 3*t - 33 = 0. Is u(q) a multiple of 4? True Let v be 6/8 + (-3)/(-12). Let d = v + 8. Suppose 0 = k - 0*k - d. Does 9 divide k? True Let v = 16 + 9. Is 4 a factor of ((-10)/v)/(1/(-10))? True Suppose -4*x - 2*v = -20, -5*v + 4*v = -2. Suppose -63 = x*s + 57. Does 13 divide (-12)/s - (-256)/10? True Suppose -5*r + 117 - 42 = 0. Suppose -s + r + 13 = 0. Is s a multiple of 7? True Suppose -3*a + 170 = 2*a. Is a a multiple of 17? True Let k(j) = -4*j + 5. Suppose m + 5 = -1. Let p(u) = -8*u + 11. Let r(h) = m*p(h) + 14*k(h). Is 19 a factor of r(-6)? False Let f = 56 + -26. Is 15 a factor of f? True Let u(j) = 3*j**2 - 3*j + 1. Let d(v) = 2 - 2*v**2 + v**2 + 5*v - 2*v - 2*v. Let o be d(0). Is 7 a factor of u(o)? True Let p(u) = -u**3 - 2*u**2 + 2*u + 3. Let n be p(-6). Suppose 5*s = 5*r - n, 6*r - s - 123 = r. Is 9 a factor of r? False Let k = 186 - 125. Let i = k + -35. Is 13 a factor of i? True Suppose 0 = 5*n + 2*g - 3187, -2*n - 2*g = -0*n - 1276. Is 19 a factor of n/14 - 6/4? False Suppose -4*n + 2*g + 292 = -2*g, g + 142 = 2*n. Is 23 a factor of n? True Suppose 2*z + 29 - 87 = 0. Does 29 divide z? True Let j be 7 + 5/(10/(-4)). Suppose j*t - 4*t - 13 = 0. Is 13 a factor of t? True Suppose -60 = -5*b + 2*o, -5*o = b + 4*b - 60. Let y(u) = u**2 - 9*u - 14. Is 6 a factor of y(b)? False Let x(w) = w**3 - 6*w**2 + 6*w - 7. Let r be x(6). Let l = -15 + r. Is l a multiple of 7? True Let n(b) = -b**2 + 7*b - 1. Let y be n(6). Let s(a) = 7*a**2 - a - 8. Let z(l) = 6*l**2 - 2*l - 7. Let p(h) = 5*s(h) - 6*z(h). Is p(y) a multiple of 6? True Let v(s) = -s - 11. Let l be v(-9). Let b = l - -15. Let m = b - 8. Is m a multiple of 3? False Let d(s) = s + 11. Suppose -2*q - 9 = -3*q. Let c be d(q). Suppose 4*n + 4*w = 76, -w + c = -6*w. Does 12 divide n? False Let o be (1 + 0)/((-3)/(-9)). Let u(n) = n**2 - n - 1. Let k(s) = -s**2 + s + 1. Let l(x) = -6*k(x) - 5*u(x). Is l(o) a multiple of 2? False Let k(x) = 7*x**2 + x - 5. Is k(-3) a multiple of 24? False Let h(n) be the second derivative of -n**8/6720 + n**7/420 - n**6/180 - n**5/60 + n**4/6 + 2*n. Let y(f) be the third derivative of h(f). Does 13 divide y(4)? False Let v(d) = -d. Let w be v(-6). Let z(r) = 10*r + 11. Is z(w) a multiple of 20? False Suppose -20 = -3*a - 2*a. Suppose 4*y + a = 6*y. Let z(q) = 14*q - 2. Is z(y) a multiple of 13? True Let h(z) = -z**2 + 5*z + 6. Let y be h(6). Let p = -64 + 159. Suppose 7*w - 2*w - p = y. Does 19 divide w? True Let c(w) = w**3 + 4*w**2. Let x be c(-4). Let b = x + 5. Does 5 divide b? True Let k = -11 - -38. Let w = k + -12. Is 15 a factor of w? True Suppose x - 156 = -44. Suppose 3*l - x = -l. Is 14 a factor of l? True Let k = 1 + -9. Let v = k + 12. Suppose -f = v*t - t - 17, 3*f - 3 = 3*t. Is 2 a factor of t? True Let q(c) = -2*c**3 - 5*c**2 - 3*c. Let n be q(-3). Is 12 a factor of 6/n - (-107)/3? True Suppose 2 = -2*n + 8. Suppose x = -n*x. Suppose x = -0*y + 4*y - 44. Does 5 divide y? False Suppose 5*h - 2*h - 3 = 0. Let r be 3 - ((h - -1) + -3). Suppose -5*z + 38 = -r*z. Is z a multiple of 17? False Suppose 4*z + 3*o - 296 = 0, 2*z - 4*o - 148 = o. Is 14 a factor of z? False Let h(k) be the second derivative of k**4/12 + k**3/6 + 9*k**2/2 + 2*k. Suppose 0 = -5*g - 0*g. Is 9 a factor of h(g)? True Is 7 a factor of (28/8 + 0)*10? True Let i(o) = -o**3 - 5*o**2 - 2*o - 1. Let b be ((-9)/(-4))/(3/8). Suppose -b*r = -2*r + 20. Is i(r) a multiple of 3? True Let v = 11 - 8. Suppose 33 = v*p - 0*p. Is p a multiple of 3? False Suppose 5*u = i - 12, -3*u = -2*i + 5*i - 72. Suppose 0 = -c + i - 5. Is 17 a factor of c? True Suppose 2*u = 7*u - 35. Is 4 a factor of u? False Let g be (-2 + (-20)/(-8))*1062. Suppose 7*r - 43 = g. Is r a multiple of 20? False Let r be ((-32)/6)/((-4)/6). Let w = r + -2. Is w a multiple of 3? True Let z = 1 + 3. Let u = 0 + z. Suppose 4*h - 4*o = -h + 90, 4*h - 68 = u*o. Does 8 divide h? False Let p be (-3)/((-27)/(-12) + -3). Let l(k) = 4*k - 6. Does 5 divide l(p)? True Suppose 7*r = 39 + 185. Does 8 divide r? True Let g(b) = 2*b**2 - 2*b. Suppose -4*t = -0*d + 5*d + 22, -17 = 3*t + 4*d. Does 12 divide g(t)? True Is 99/6*(-8)/(-6) a multiple of 8? False Is 3/3*1*57 + 3 a multiple of 20? True Suppose 4*t = -2*w + 6*w - 236, 3*w - 4*t = 176. Suppose 0 = -4*d - 3*s + 26, 3*d + 4*s - 9 = 14. Suppose -15 = -d*q + w. Does 15 divide q? True Is 29 a factor of -4 + (3 - -4) + 113? True Let f = 49 - 28. Suppose f = l - 4. Does 10 divide l? False Suppose -3*y + 7*b + 129 = 2*b, -4*y - 4*b = -172. Let n = y + -24. Does 6 divide n? False Suppose -4*l - y = -173 - 54, -2*y + 230 = 4*l. Let g = -17 + l. Is 21 a factor of g? False Let r = -49 - -131
{ "pile_set_name": "DM Mathematics" }
397/31) Simplify (q*q*q/(q**(-2)*q)*q/q**(2/3)*q)**(2/39)/((q**(2/11)*q*q)/q**(1/8))**(25/4) assuming q is positive. q**(-518161/41184) Simplify ((s/(s**(2/3)*s))**(-10/9)/((s*(s/(s/s**(5/4))*s*s)/s)/(s/s**(-1))))/(s**(2/3)*s**(-1/4)/s*(s**6/s)/(s**3/s)) assuming s is positive. s**(-79/27) Simplify (x**0)**(-1/43)/(x/(x*x*(x*(x*x**(2/5))/x)/x*x))**1*(x**(2/7))**(-31)*x**(-5/3)*x*x**(-1/6) assuming x is positive. x**(-1531/210) Simplify (((u/u**0)/u**3)/(u/u**(3/7)*u*u**(-2)*u))/((u*u*(u**(-4)/u)/u)**(-31))**(1/4) assuming u is positive. u**(-235/7) Simplify ((k**(-2)/k)**47/(k/k**(-5))**(3/4))**(4/23) assuming k is positive. k**(-582/23) Simplify (((c/c**2*c*c)/c)**(-21)*c**(-8)*((c/(c**13*c*c)*c)/c)/c)**(2/3) assuming c is positive. c**(-46/3) Simplify (((m**(-1/9)*m*m)/m*m*m)/(m/((m*m**(-3/7)/m*m)/m)))/(m**(1/27)/m*m)**28 assuming m is positive. m**(80/189) Simplify ((o**1/o)**(1/61)/(o**1)**(2/35))/((o**1)**(3/25)*o*o**4/o*o**(-7/4)) assuming o is positive. o**(-1699/700) Simplify ((y/y**(-2/17))**(-26)/((y*y*y**20)/y**(-15)))**(2/3) assuming y is positive. y**(-2246/51) Simplify ((b/(b/b**(3/4)))/(b/(b**(-6/19)*b)*b)*(b/b**23*b)/(b/b**7))**(2/5) assuming b is positive. b**(-1183/190) Simplify (k**37*k*k)**30*k**(-26)/(k**15/k) assuming k is positive. k**1130 Simplify (((i**(-9/2)/i**(1/8))/(i**13/(i*i**(1/11))))**(2/41))**(-1/44) assuming i is positive. i**(1455/79376) Simplify ((p**(6/7)*p*p*p**(-9)*p*(p**(-2))**(-46))**31)**(-5) assuming p is positive. p**(-94240/7) Simplify ((u*u/(u/(u**(2/9)/u)))**(-46)/(u**(-1/4))**(-7))/((u/u**8)/(u/(((u**3*u)/u)/u))*(u*u**(-7)/u)/u**4) assuming u is positive. u**(181/36) Simplify (((((a/(a*a*a**(-1))*a*a)/a*a)/a)/a**(-15))/(a**(5/2)*a**(-6)))**8 assuming a is positive. a**156 Simplify (w**(-3/2)/(w*w**0/w)*(w/((w**(-1)/w)/w)*w)/(w/(w/(w/(w/((w**(6/7)*w)/w)*w)))))/(w**2/(w*w**(-6)*w)*(w*w**(-1/2)/w)**(1/20)) assuming w is positive. w**(-653/280) Simplify (i/(((i*i**(-3/4))/i*i)/i)*i*i**(-1/20))/(i**(2/3))**(-40) assuming i is positive. i**(881/30) Simplify ((v*v/v**(-2/7))/v)**(-49)*v/v**(2/15)*(v**(-8)*v)/v*(v*v**(-9)*v**3)**(-7/13) assuming v is positive. v**(-13151/195) Simplify ((f/(f/(f/f**4))*f*f*f*f**(-1/5)*f*f*f**(-1/3)*f**3)**11)**(-48) assuming f is positive. f**(-11792/5) Simplify (((((n**(9/4)/n)/n)**(-13/4))**(-1/12))**(1/7))**(-9/4) assuming n is positive. n**(-39/1792) Simplify x*x**(-2/17)*x/x**26*x*((x*x**(-12))/x)**9 assuming x is positive. x**(-2229/17) Simplify (u*u/u**2*u*u**6)/(u*u/u**1*u*u*u**3*u)*((u**(-3)/u)/(u**5/u*u))**(-20) assuming u is positive. u**180 Simplify ((t**(2/3)*(((t**(-13/3)/t)/t)/t)/t)/(t/t**7)**(-20))**(-2/5) assuming t is positive. t**(766/15) Simplify (((r/(r/(r/r**19*r)))/r)/(r**(-7/6)/r)*(r**(-2))**(-36))**43 assuming r is positive. r**(14491/6) Simplify ((q*q**(-1)*q*q)/q**(-4))**2*q**4/q*(q**(2/5)*q)/q*((q/(q**2*q))/q)/(q*q*q**(-6)*q*q) assuming q is positive. q**(72/5) Simplify ((u/u**(-1/3))/u)**0*(u*u/u**(-2/19)*u*u)/(u*u*u**7)*u**(-1)*u*u**(-3)*(u*u**(2/3)/u)**(-38) assuming u is positive. u**(-1894/57) Simplify ((g**(-42))**(-16/9)/(g**(25/4))**48)**(2/33) assuming g is positive. g**(-1352/99) Simplify (((n*n**(1/8))/n**(2/7))/(n**0*n*n*(n*n/(n*((n/n**(-5))/n)/n*n*n))/n*n))/((n**0)**(-1/15)/(n**6/n**(3/5))) assuming n is positive. n**(2587/280) Simplify (u**(-2/31)*u)/u**7*(u/u**39)/u**31 assuming u is positive. u**(-2327/31) Simplify ((((x**0/x)/x)/x)/(x*x**8*x))**(-14)/(((x*x**7/x)/x**(-1/7))/(x**1*x*x)**(6/5)) assuming x is positive. x**(6246/35) Simplify ((q**(-1/3))**(-2/3))**19/(((q**(-2/5)/q)/q*q*q*q)/q**(-6)*(q**(-1/6)*q*q)/q**(3/4)) assuming q is positive. q**(-623/180) Simplify (p**(-1/4)*p**(-2/7)*p**(1/9)/p**(-4/7))/((p*p/p**6)/p**(-2/11))**(-20/3) assuming p is positive. p**(-70153/2772) Simplify ((((t**20)**36)**(-16))**(-6/13))**11 assuming t is positive. t**(760320/13) Simplify ((f**(-2/7))**(4/15))**(-14/9)*f**(-5)/f**(-2/9)*f**(-1/6)/(f*f**0*f*f) assuming f is positive. f**(-2113/270) Simplify ((h*h*h/h**(2/7))/h**(-6)*h**(2/17)/h**2)/((h/(h**(6/11)*h*h))/(h*h/(h**(3/5)/h)))**(-26) assuming h is positive. h**(-626683/6545) Simplify ((i*i*i**1)**(-30))**34/((i**(-2/3))**(-38)/(i**3/i*i*i**(-3)*i)) assuming i is positive. i**(-9253/3) Simplify ((t*t/t**1)**(-2/17))**9*t/((t*t**(-3/5)*t*t*t*t*t)/t)*t*t**(2/7)*(t**0)**(3/22) assuming t is positive. t**(-1888/595) Simplify (d**(-2/21)*d*d*d*d**(7/2)*d*(d**(2/21))**42)**(2/45) assuming d is positive. d**(479/945) Simplify (((f**(1/3)*f*f*f**(2/13))/(f**6*f/f**(-5)))**(-3/5))**(-28) assuming f is positive. f**(-10388/65) Simplify ((p*p**(1/4)*p)/p**(-2/17)*(p*p**6*p)/p*p*p/((p**(-1/29)*p)/p))**(-9) assuming p is positive. p**(-202365/1972) Simplify ((h/(h/(h*h**(-2/9))))**(8/7)/(h**25*h*h**(-10/13)*h))**8 assuming h is positive. h**(-23720/117) Simplify ((((b*(b*b/(b/(b**5/b*b)))/b)/(b**(-3/4)*b))**(-2/45))**(-12/11))**(19/3) assuming b is positive. b**(874/495) Simplify ((m/(m*((m**9*m*m*m)/m)/m*m))/m*m/(m/(m*m*m**(-15)))*m**(-10)*m**17)**(-2/49) assuming m is positive. m**(36/49) Simplify (r**(1/16)*r**(-1/3)*(r*r**0)/(r**(4/3)*r))/((r**(-5)*r/(r/r**(-1/2)))/((r/r**(-2))/r**(-1/6))) assuming r is positive. r**(113/16) Simplify (z/(z/(z**16/z)*z)*z*z*z*z/(((z*z/(z/((z/(z**1/z)*z)/z))*z)/z)/z)*(z*z/((z/(z*z**(1/2)*z)*z)/z))**(-45))**(-21/5) assuming z is positive. z**(5901/10) Simplify ((l**(-3/4)/l*l*l*l/(l/(l/(l*l/(l*l/l**(4/7))))))/(l**3*(((l*l**(-5))/l*l)/l)/l))/((l/(l/((l/(l*l**4*l))/l*l))*l)/l**6)**(-11) assuming l is positive. l**(-2977/28) Simplify ((k*k*k**(4/9)*k)**22)**(-5/4)/(k**(-4)*k**(3/7)*(k**(2/5)/k)/k**3) assuming k is positive. k**(-55157/630) Simplify (f**(-1/4))**(15/4)/(f*f**(-1/3))**(-2/5)*(f*f**0*f)**(2/39)/(f**(-1))**(-39) assuming f is positive. f**(-41151/1040) Simplify ((w/w**(3/8)*w**(-14/11)*w)**(-3))**(-47) assuming w is positive. w**(4371/88) Simplify ((z*z/((z*z**(5/2)*z)/z)*z)/(z**(2/37)*z))**(1/61)/((z**(-4)*z**(5/6))/(z**(-5/7)/((z**(-2/7)*z)/z))) assuming z is positive. z**(128570/47397) Simplify (((p**(4/3))**(3/2)*(p/(p*p/(p/(p*p/p**(2/7))))*p)**(-15))**(-2/63))**(-26) assuming p is positive. p**(4628/441) Simplify (o/o**(-5)*o)**(-38)*o**(-1/14)/o**37 assuming o is positive. o**(-4243/14) Simplify ((y**(-2/3)*y)**(4/7)/((y*y/(y/((y**3*y*y)/y))*y*y)/(y**(-2)*y*y)))/((y**(-2/13)/(y/(y**(1/6)/y)))/(y*y/(y*y**2)*y*y**(-1/7))) assuming y is positive. y**(-2711/546) Simplify (z**(-1)*z)**(-6/13)*(z/((z**2/z)/z))/z**(-1/8)*(z*z*z**0*z)**(-2/31)/((z*z*(z*z/z**(-7)*z)/z)/(z/(z*z**(-2)*z))) assuming z is positive. z**(-2249/248) Simplify (((d**(-12))**28)**(-12/5))**(4/17) assuming d is positive. d**(16128/85) Simplify (n*n/(n/(n**(6/7)/n)*n)*(n*n/(n/((n**(-1/4)*n)/n))*n)/n*(n**(-2/17)*n)/n**0)**(3/28) assuming n is positive. n**(2127/13328) Simplify (k**(25/6)/k)/(k**19/k)*k/((k**(-22)/k)/k)*k*k**(-24)*k assuming k is positive. k**(-71/6) Simplify (g**(1/18)/g**(3/16)*(g**3*g)**19)**13 assuming g is positive. g**(142025/144) Simplify ((i*i**(-14/9)*i**(-8))/(i/(i/(i**(-4/13)/i)*i)*(((((((((i**(1/6)/i)/i)/i)/i)/i)/i)/i)/i)/i)/i*i))**(-2/29) assuming i is positive. i**(-605/3393) Simplify ((k*k/k**(-2/71))/k*(((((k/(((k**(-36)/k)/k)/k)*k)/k)/k)/k)/k)/k*k**(-10/7)/(k*k**(2/3)*k))**41 assuming k is positive. k**(2013223/1491) Simplify (w**(3/22))**(2/7)/((w*w*w**(5/6)*w)/(w/(w/(w*w*w/w**(-13/3)*w)))) assuming w is positive. w**(699/154) Simplify (((h*(h*h**(-10)*h)/h*h)/((h/h**(-13))/h))/(h*h*h*h*h**6*h*h*h/(h/(h*h*h**7/h*h*h)*h)))**11 assuming h is positive. h**(-451) Simplify (n**(3/8)/(n*(n*n**(-1/10))/n)*(n**(-6)*n)**32)**(3/13) assuming n is positive. n**(-19263/520) Simplify ((j**0)**(30/13))**(-1/5)*(((j*j*j**(1/4))/j)/((((j**1*j*j)/j)/j)/j))**(-6/23) assuming j is positive. j**(-15/46) Simplify ((d**(-18)*d*d**(-8)*d)/(d*d*d**(-1/17)*d**(-6/5)/d))**(-4/21) assuming d is positive. d**(8072/1785) Simplify ((w**1)**(-2/23))**(2/23)*((w*(w*w*w**(1/6)/w)/w*w*w)/w*(w/(w*w**(-1/13)/w*w))/w)**(-3/8) assuming w is positive. w**(-52145/110032) Simplify ((m**5*m)/((m/(m*m**(-1)))/m)*m**(-4)/m**(-6))/((m*m/((m*(m/(m/m**(2/3)))/m)/m)*m)/((m**(-4)*m)/m))**(-11/3) assuming m is positive. m**(314/9) Simplify (i*i**(11/4)*i/((i/i**(5/3))/i))/(i/i**(-5)*i/((i**5*i)
{ "pile_set_name": "DM Mathematics" }
*i)*(3*i + 0*i - i) + (3 + 0 - 2)*(-7*i**2 - 6*i**2 + 4*i**2) in the form h*i + k + y*i**2 and give y. -13 Express (17 - 33 + 4*c - c**2 + 18)*(0*c**2 - c**2 + 2*c**2) + (-2*c**3 + 10*c**3 - 6*c**3)*(0*c - 3*c + 2*c) as w + t*c**3 + y*c**4 + a*c + n*c**2 and give a. 0 Rearrange -r**2 + r**2 - 3*r**2 + (-2*r - 1 + 1)*(-r + 0*r + 3*r) - 2*r**2 + 4*r**2 - r**2 + 3*r**2 + r**2 - 3*r**2 to k*r + f*r**2 + w and give k. 0 Express -n**4 - 6*n**2 + 2*n**2 + 1 + 0*n**2 + 2*n**2 as f + g*n + s*n**4 + j*n**3 + c*n**2 and give s. -1 Express (0*l + l - 2*l)*(l - 5*l + 2*l) + 2*l**2 + l - l - 2*l**2 + 2*l**2 + 3*l**2 in the form h*l**2 + n + w*l and give h. 7 Express -2*o**3 - 10 + 23 - 17 + 4*o**4 in the form i*o + p*o**4 + v*o**3 + g + d*o**2 and give g. -4 Rearrange -2*a + 8*a - 43*a - 10*a to s + v*a and give v. -47 Express (j + 3*j - 2*j)*(-1 + 2 - 2) + j - j + 3*j + (-5 + 6 - 5)*(2*j - 3*j + 2*j) in the form m*j + u and give m. -3 Rearrange (0*p - 3*p + 2*p)*(-6*p**3 + 3*p**3 + p**3) + 2*p**4 - p + p + 0*p**2 + 5*p**2 - 7*p**4 - 3*p**2 to i*p**2 + w + l*p**3 + y*p + r*p**4 and give r. -3 Express 22*m**2 + 21*m**2 + 64*m**2 in the form i*m**2 + b + t*m and give i. 107 Express (0*a**2 - 2*a**2 + a**2)*(-9 - 4 - 5) in the form y*a**2 + v*a + l and give y. 18 Express (4*v**4 - 3*v**4 + 0*v**4)*(191 - 86 - 82) + (-3*v + 3*v + v**2)*(0*v**2 + 0*v**2 + 2*v**2) in the form k*v**4 + h*v**3 + r + b*v + c*v**2 and give k. 25 Rearrange 188*k - 89 + 89 to the form u + j*k and give j. 188 Express a - 13 - 15 + 8 in the form p*a + u and give p. 1 Express 4*d**2 - 3 - 1 + 3*d**4 - 4*d**2 - 2*d**3 as b*d**2 + n*d + o*d**3 + f + x*d**4 and give x. 3 Express -2*h - 18*h - 4*h - 8*h in the form w*h + r and give w. -32 Rearrange -3 + 3 - g**2 + (-2 - 3*g**2 + 2)*(-1 - 1 + 1) + ((g - 4*g + g)*(-4 - 1 + 6) - 5*g + 6*g + 30*g)*(g - g - g) to u*g + m*g**2 + i and give m. -27 Rearrange h + 2*h + 2*h + (-2 + 1 - 1)*(-2 + 2 + 3*h) + 4*h - 5*h + 0*h + (-3*h + 6*h - 4*h)*(-1 + 0 + 2) - 2*h + 3*h - 3*h to the form u + p*h and give p. -5 Express -1784*h - 1 - 2 + 1782*h as o + a*h and give a. -2 Express -7*m + 4*m + 0*m as u + s*m and give s. -3 Express -63*p**4 - 1 + 65*p**4 + 4*p**2 - 3*p**2 + 3*p**3 in the form c*p + q*p**3 + r + m*p**2 + v*p**4 and give m. 1 Rearrange -6 + 4 + 0*d**4 + 2*d**4 - 3*d to m + b*d**2 + n*d**4 + k*d + v*d**3 and give k. -3 Express -c**3 + 4*c**4 - 2*c**4 - 2 + 2*c**3 as g + m*c + l*c**2 + i*c**3 + p*c**4 and give p. 2 Express (4*h - 8*h**2 - 4*h)*(-2*h**2 + 3*h - 3*h - 4*h) in the form x*h**3 + f*h + t + v*h**4 + s*h**2 and give v. 16 Rearrange (0*q + 0*q + 2*q**2)*(3 + 3*q - 3)*(1 + 1 + 3)*((1 + 4 - 7)*(-1 - 1 + 0) + 1 - 4 + 2) to the form p*q**3 + o*q**2 + d*q + h and give p. 90 Rearrange -3*b + 31*b**2 + 2 + 3*b - 46*b**2 to the form s*b + k*b**2 + i and give k. -15 Rearrange v**3 + 6 - 2 - 5*v**3 - 9 to the form p + s*v**2 + h*v**3 + l*v and give p. -5 Express -2 + 351*o + 3*o**2 + 3*o**4 - 354*o + o**2 - 2*o**4 as t*o**3 + x*o**2 + v + a*o**4 + w*o and give x. 4 Rearrange (-19*n**3 + 91*n**2 - 91*n**2)*(7*n - 6 + 6) + (2*n - 2*n**2 - 2*n)*(4*n**2 - 3*n**2 + 0*n**2) to w*n**3 + c*n**4 + i*n**2 + s + q*n and give c. -135 Rearrange -4*t**2 - 4*t**3 + 2*t**2 - 14*t + 5*t**3 + 12*t to w*t + o*t**2 + p + q*t**3 and give o. -2 Rearrange -28 + 28 - 11*i**2 to n + r*i**2 + t*i and give r. -11 Express -6*i + 348 - 348 as m + o*i and give o. -6 Express (55 + 14 + 11 - 32)*(0*k**4 - 4*k**4 + 2*k**4) as i*k**4 + o + j*k**3 + g*k**2 + z*k and give i. -96 Express (0*s - s - 5*s)*(0*s - 5*s + 0*s + 6*s) as r + w*s + i*s**2 and give i. -6 Rearrange ((0 + 1 - 3)*(2 + 2*k - 2) - 5*k + 5*k - k)*(2 + 2 + 0 + (1 + 1 - 1)*(-3 + 3 - 2) - 3 - 3 + 4 + 2 - 2 + 1 + 0 - 1 - 1) to b*k + n and give b. 5 Rearrange -4*t**2 - t**3 + 2 + 3*t**4 + 0*t**3 + 5*t**2 + t**2 to u*t + z*t**2 + a*t**3 + k*t**4 + g and give z. 2 Express -3*y**2 - 11 + 2*y**4 - 2*y**4 - y - 3*y**4 - 2*y**3 + y**2 as m*y + a*y**3 + c*y**4 + l*y**2 + n and give a. -2 Rearrange 285 - 285 + 21*c to the form l + w*c and give l. 0 Express (-15 + 25 - 14)*(i + 3*i - i) in the form b*i + o and give o. 0 Rearrange (-1 - 2*k + 1)*(-2 + 28 + 6)*(4*k**2 - 1 + 1) to the form a*k**2 + l*k**3 + t + y*k and give l. -256 Rearrange -50*t + 11*t - 51*t - 25*t to the form h*t + q and give h. -115 Rearrange -17 + 21 + 7 + 2*j to h + a*j and give a. 2 Rearrange (-a**2 - 2*a**2 + a**2)*(-2 + 2 - 2*a**2) + a**4 + 15720*a**2 - 15720*a**2 + 31*a - 2 to the form w*a**2 + t*a**4 + v*a**3 + k + n*a and give t. 5 Express ((-2 + 3 + 0)*(-1 - 2 + 1) - 2 - 1 + 1 - 1 - 2 + 2)*(-2*g + 2 - 2)*(-5*g + 2 - 2) as z*g + b*g**2 + h and give b. -50 Rearrange (0 + 2 - 5)*(-12*u - 47 + 47) to the form w*u + z and give z. 0 Express -4*g - 3*g**2 + g - 4*g + 4*g in the form b*g + w + j*g**2 and give j. -3 Rearrange -4*d - 8 - 2*d + 11*d + 4*d - 4*d + d + (0 + 0 + 3*d)*(2 + 1 - 1) to h + u*d and give u. 12 Express 2*c**3 - 3*c + 3*c + (0*c - 5*c + 4*c)*(-2 - 2*c**2 + 2) + 5*c**3 + 0*c**3 - 3*c**3 - 2*c**3 - 3*c**3 - 2*c**3 as d*c + n*c**2 + w*c**3 + m and give w. -1 Rearrange 1 - 1 - 2 + i**4 - 4*i**4 + 3*i**2 to the form m*i**2 + c*i**4 + b*i**3 + o*i + r and give c. -3 Rearrange 2*s + 26 + 5*s - 28 to v + b*s and give b. 7 Rearrange (-t**3 + 0*t + 0*t)*(-8 - 20 - 104) to b*t**2 + i + h*t + a*t**3 and give b. 0 Rearrange 139 + 2*h**2 + 16*h - 139 to s*h**2 + p*h + r and give s. 2 Rearrange x**2 - 3*x**2 - 2*x**2 + (3*x - 2*x - 2*x)*(0*x + 2*x - x) + 10 - 4*x**2 - 10 to the form f + i*x + k*x**2 and give k. -9 Express 2*j - 7*j + 2*j + 2*j - 2*j + 2*j + (1 - 1 - 2)*(-3 - 2*j + 3) + (2 - 2 + 2)*(-2 + j + 2) - 3*j + 2 - 2 as t + m*j and give m. 2 Express (3 + 0 - 1)*(-v - 5 + 6 - 2) - v + 0 + 0 in the form q*v + u and give u. -2 Express 2*n + 12*n - 74*n as d*n + j and give d. -60 Express -586 + 64*r**3 + 588 - 12*r**3 in the form y + a*r**2 + p*r + q*r**3 and give q. 52 Rearrange 45*s - 45*s - s**4 + 2*s**3 + 3*s**2 to the form w + h*s**4 + d*s + c*s**3 + f*s**2 and give c. 2 Rearrange -32*t - 6 + 1 + 2 to o*t + q and give q. -3 Rearrange (3*m**3 - m**3 - 3*m**3)*(2 - 2 + m) + 17*m**4 + 12*m**4 - 46*m**4 to the form g*m**2 + i*m**3 + p*m + j*m**4 + t and give j. -18 Rearrange m**3 - 4*m**2 + 4*m**2 - 297*m - 23*m**3 + 297*m + (3 + m - 3)*(-2*m + 2*m**2 + 2*m) to c*m**2 + a*m**3 + p + b*m and give a. -20 Express -l**2 + l**2 + l**4 + 3*l - 3*l - 3*l**4 + (-5*l**3 + l**2 - l**2)*(-l + 6*l + 0*l) in the form n*l**4 + s + k*l + j*l**2 + r*l**3 and give n. -27 Rearrange ((-2*t + 2*t - t)*(-5*t**2 - 4*t**2 - 13*t**2) - 3*t**3 - 2*t**3 + 4*t**3)*(-3*t - 2 + 1 + 2*t) to s*t**4 + n + c*t + r*t**2 + x*t**3 and give x. -21 Rearrange -3 - 4*d**3 - 162*d**2 + 162*d**2 to p*d + o*d**3 + l + w*d**2 and give w. 0 Express -6*u**3 + 2*u**3 + 5*u**3 - 2*u**3 + 5*u**3 - 4*u**3 + (0 + u + 0)*(4*u**2 + 0*u**2 - 5*u**2) + 47 - 47 - u**3 as z*u**3 + c*u + q + d*u**2 and give z. -2 Rearrange (-2*a**4 - a + a)*(0 + 1 + 1) - 47*a**4 - 5 + 3 + 42*a**4 to the form g*a + q*a**3 + l*a**4 + v + z*a**2 and give v. -2 Express -v + 54*v + 6 - 4 in the form r*v + c and give r. 53 Rearrange -7*s + 3*s - 29*s to the form t*s + d and give t. -33 Express -22*u - 3*u**2 + 5*u**2 + 1 + 12*u + 2*u**3 as t*u**2 + q*u + p + i*u**3 and give t. 2 Express 5 - 4 + 0 - 35*g in the form i + k*g and give k. -35 Express -s + 3*s + 719*s**4 - 714*s**4 + 4 in the form x + l*s + b*s**4 + i*s**3 + c*s**2 and give b. 5 Rearrange (-1 - 2 + 2)*(-1 + 4 - 15 + (1 - 1 + 1)*(-3 - 4 + 5) + 3 + 1 - 2)*(0 + 2*r + 0) to the form v + q*r and give q. 24 Rearrange (-2*r**2 + 4*r**2 + 0*r**2)*(-1 + 3 + 0)*(0 + 1 + 1)*(-r + 5*r + 2*r) to q + j*r**3 + d*r + u*r**2 and give j. 48 Rearrange 0*x**2 - 3*x**2 - 3*x + 2*x**3 + 6*x**2 - x**2 to the form z*x**2 + m*x + l + r*x**3 and give m. -3 Express -4*o**2 + 14*o - 9*o**2 - 12*o**2 + 27*o**2 in the form u*o + w*o**2 + h and give u. 14 Express -3*x + 3*x - 32*x**2 - 1 - x**3 + 33*x**2 in the form g*x**2 + q*x**3 + k*x + y and give k. 0 Rearrange 0 + 5*g - 2 + 3 - g**3 to the form v + c*g**3 + q*g**2 + a*g and give c. -1 Rearrange 0*i - 4 + 8*i + 3 + 5 to y*i + x and give y. 8 Express -2*t - 8 - t + 6 - t + 0 + 0 + (t - t + 2*t)*(0 - 2 + 0) + 0*t + 2*t - t in the form f*t + c an
{ "pile_set_name": "DM Mathematics" }
, 0*p = -4*p + c + 19. Suppose 4*j - 4*q = 32, j + 3*q = -2*j + p. Let o(z) = -j - z + 5. Let d(w) = 2*w**2. Determine o(d(g)). -2*g**2 Let x(v) = -62*v. Let y(i) = 4*i. Determine y(x(a)). -248*a Let n(o) = o**2. Let c = -3 + 6. Let m(p) = 3*p - 5*p + c*p. Give n(m(r)). r**2 Let f(z) = 1. Let m(b) = 3*b - 9. Let s(o) = -1. Let y(n) = -m(n) + 18*s(n). Let v(x) = 9*f(x) + y(x). Let h(p) = 3*p. Determine h(v(t)). -9*t Let f(j) = j. Let z(i) = -2*i**2 + 5*i. Let n(w) = -3*w**2 + 6*w. Let o(g) = 5*n(g) - 6*z(g). Determine f(o(c)). -3*c**2 Let z(g) be the second derivative of g**3/6 + 4*g. Let x(l) = -80*l**2. Determine x(z(c)). -80*c**2 Let y(m) = -2*m. Let q(a) = a + 2*a - 5*a + 0*a. What is q(y(v))? 4*v Let p(i) be the first derivative of i**6/180 + 4*i**3/3 - 1. Let x(m) be the third derivative of p(m). Let t(g) = 3*g. Determine x(t(y)). 18*y**2 Let w(l) = 2*l. Let k = 50 + -50. Let j(d) be the second derivative of -d - 2/3*d**3 + k*d**2 + 0. Give w(j(t)). -8*t Let f(s) be the third derivative of s**5/30 - 6*s**2. Let v(w) = 0*w + 2*w + 0*w + w. Calculate v(f(i)). 6*i**2 Let o(m) = -13*m**2. Let c(z) = -z**3 + 8*z**2 - 5*z - 9. Let w be c(7). Let n(v) = -v + w*v - 3*v + v. Determine o(n(l)). -52*l**2 Let s(u) = 10*u. Let c(w) = 3*w + 2. Let k(v) = -10*v - 7. Let r(a) = 7*c(a) + 2*k(a). What is r(s(n))? 10*n Let o(j) = -j**2. Let r(z) = 2971*z**2. Calculate o(r(w)). -8826841*w**4 Let h(a) = -2*a**2 + 2*a + 2. Let z(o) = -o**2 - o - 1. Let r(f) = -h(f) - 2*z(f). Let j(c) = -2*c. What is j(r(k))? -8*k**2 Let z(a) = -4*a**2. Let y(w) = -16*w. What is y(z(s))? 64*s**2 Let m(s) = s. Let i(w) = -16*w + 2. Let q(x) = 33*x - 5. Let t(d) = -5*i(d) - 2*q(d). Give t(m(u)). 14*u Let k(f) be the second derivative of f**4/12 + f. Let j(o) = -2*o. Let w(n) = n. Let a(u) = 6*j(u) + 11*w(u). What is a(k(g))? -g**2 Let r(u) = 3*u. Let l(w) = 791*w**2. Give r(l(j)). 2373*j**2 Let h(p) be the third derivative of -p**4/12 + p**2. Let l(c) = -77*c. What is l(h(n))? 154*n Let m(r) = -153 + 74 - 3*r**2 + 79. Let q(w) = 5 + 2*w**2 + 12*w - 1 + 8. Let x(c) = -c**2 - 5*c - 5. Let y(p) = 5*q(p) + 12*x(p). What is m(y(b))? -12*b**4 Let o(b) = -b. Let n(k) be the third derivative of -k**6/120 + k**3/2 - 2*k**2. Let q(i) be the first derivative of n(i). What is q(o(z))? -3*z**2 Let h(w) = -w. Let p(i) be the third derivative of 0*i**3 + 0 - 6*i**2 + 0*i - 1/4*i**4. Give h(p(b)). 6*b Let d(p) = -2*p. Let l(s) be the second derivative of s**6/720 - 5*s**4/12 + 5*s. Let g(t) be the third derivative of l(t). Give d(g(m)). -2*m Let n(l) = 30*l. Let m(h) = -73*h**2. Calculate m(n(s)). -65700*s**2 Let t(l) = 2*l**2. Let o(w) = 2*w**2 - w - 2. Let c be o(3). Let x(j) = j - 6*j + c*j - 5*j. Give t(x(i)). 18*i**2 Let y(a) = 2. Let o(t) = 4*t + 15. Let d(g) = 5*g + 16. Let u(f) = 5*d(f) - 6*o(f). Let q(v) = 2*u(v) + 10*y(v). Let l(k) = -2*k. Calculate l(q(n)). -4*n Let o(n) = -n. Let t(j) = 1. Let v(w) = -4*w**2 - 6. Let f(q) = 6*t(q) + v(q). Calculate o(f(i)). 4*i**2 Let p(x) = x + 8. Let b be p(-8). Let t(n) = -n + 4*n + b*n. Let v(q) = 4*q - 2*q - 3*q. What is v(t(h))? -3*h Suppose 0 = 4*o - 20 - 32. Suppose -3*v + 21 = 3*p, 5*v = -3*p + o + 12. Let d(q) = 0*q**2 + 2*q**v - 5*q**2. Let b(m) = m**2. What is b(d(l))? 9*l**4 Let k = 145 - 89. Let r(b) = -2*b - 5. Let g(u) = 21*u + 56. Let x(i) = k*r(i) + 5*g(i). Let y(s) = 2*s**2. Give y(x(a)). 98*a**2 Let v(a) = -2*a**2 + 3. Let b(n) = -45*n**2 + 65. Let f(k) = 6*b(k) - 130*v(k). Let w(r) = -3*r. Determine f(w(x)). -90*x**2 Let j(u) be the third derivative of u**6/90 + u**3/6 + 3*u**2. Let w(a) be the first derivative of j(a). Let d(b) = -b**2. Give d(w(i)). -16*i**4 Let d(a) = 2*a. Let o(q) be the third derivative of -q**5/60 + 11*q**3/6 + 37*q**2. Give d(o(m)). -2*m**2 + 22 Let l(h) = h**2. Let x(o) = 3*o - 18. Let v(i) be the first derivative of i**2/2 - 5*i + 2. Let d(b) = 18*v(b) - 5*x(b). Calculate l(d(j)). 9*j**2 Let c(k) = 4*k**2 + 2*k - 2. Let b(d) = d - 1. Let u(t) = 2*b(t) - c(t). Let i(y) be the second derivative of y**4/6 + y. What is i(u(x))? 32*x**4 Let u(m) = m**2. Let k(p) be the second derivative of 13*p**3/6 - 34*p. What is k(u(o))? 13*o**2 Let d(q) = 5*q**2. Let s(h) = -968*h. Calculate s(d(p)). -4840*p**2 Let s(m) = -10*m. Let a(l) = 2*l - 1. Let h(x) = -5*x**2 - 12*x + 6. Let b(i) = -6*a(i) - h(i). Determine b(s(f)). 500*f**2 Let i(c) = -7*c**2. Let a(n) = 22*n**2. Determine a(i(g)). 1078*g**4 Let h(p) be the third derivative of -p**7/280 - p**4/12 + 8*p**2. Let m(d) be the second derivative of h(d). Let c(q) = -q. Determine c(m(j)). 9*j**2 Let l(o) = -o**2 - 2*o. Let x(p) = -6 + 3 + 3 - p. Let w(q) = l(q) - 2*x(q). Let v(y) = -3*y**2. Determine v(w(n)). -3*n**4 Let x(z) = -z**2. Let v(w) = 68*w. Calculate x(v(d)). -4624*d**2 Let p(h) = -5*h**2 - 21*h + 0*h**2 + 21*h. Let z(u) = u. Determine z(p(d)). -5*d**2 Let p(i) = 6*i**2. Let v(z) = 2*z. What is p(v(b))? 24*b**2 Let b(r) = 2*r. Let f(x) = -x**3 + 9*x**2 + x - 7. Let p be f(9). Let k(h) = 0*h - h**p + 0*h. What is k(b(g))? -4*g**2 Let w(u) = 13*u**2. Let z(v) = -13*v. What is z(w(l))? -169*l**2 Let c(t) = 2*t. Let u = 38/3 + -67/6. Let d(j) be the first derivative of u*j**2 + 1 + 0*j. Determine c(d(b)). 6*b Let v(s) = -227*s**2. Let q(g) = -14*g**2. Give q(v(x)). -721406*x**4 Let o(h) = -4*h. Let c(y) = 189*y. Determine o(c(w)). -756*w Let l(y) = -3*y**2 + 2*y - 2. Let p(q) = 12*q**2 - 9*q + 9. Let b(z) = -9*l(z) - 2*p(z). Let f(x) be the second derivative of -x**3/3 - 4*x. Determine f(b(k)). -6*k**2 Let w(y) = 404*y. Let m(l) = -l**2. Give m(w(o)). -163216*o**2 Let s(i) be the first derivative of i**5/60 + i**2/2 + 1. Let w(g) be the second derivative of s(g). Let o(m) = m**2 + m**2 - 3*m**2. Calculate w(o(y)). y**4 Let s(f) = -31 + 31 - f. Let v(q) = q. Calculate v(s(o)). -o Let g(d) = -4*d. Let h = 10 + -16. Let u(j) = -3*j**2 + 2. Let n(f) = 10*f**2 - 7. Let s(o) = h*n(o) - 21*u(o). What is s(g(k))? 48*k**2 Let i(t) = -t. Suppose 4 = 3*m + l, 3*l - 2 = -2*m + 2*l. Let a(p) = -3*p - 2*p + m*p. What is i(a(u))? 3*u Let g(j) be the second derivative of -j - 1/2*j**3 + 0 + 0*j**2. Let l(h) be the third derivative of -h**5/30 + 20*h**2. Determine g(l(k)). 6*k**2 Let w(o) = 24*o**2 - o. Let b(c) be the second derivative of c**3/6 - 2*c - 21. Determine b(w(l)). 24*l**2 - l Let f(l) = -7*l**2. Let m(r) = -11*r**2. Calculate f(m(v)). -847*v**4 Let h(d) = 14*d**2. Let n = -22 - -26. Let r(u) = n*u**2 + 0*u**2 - 3*u**2. What is r(h(v))? 196*v**4 Let l(r) = -3*r**2 - 12*r. Let g(u) = -u. Suppose 0 = -5*o, 0*k = 2*k - 3*o - 2. Let a(q) = k*l(q) - 12*g(q). Let t(m) = -m**2. What is t(a(b))? -9*b**4 Let u(d) = -17*d. Let t(m) = 3*m**2. Give t(u(x)). 867*x**2 Let b(i) = i**2. Let q(v) = 3 + 14*v**2 - 3. Determine b(q(r)). 196*r**4 Let n(t) = t**2. Let p(s) = 1812*s. Determine n(p(w)). 3283344*w**2 Let c(i) = -i**2. Let m(n) = 11*n + 2*n + 5*n - 5*n + 13 + 2*n**2. Let v(p) = p**2 + 6*p + 6. Let x(l) = -6*m(l) + 13*v(l). What is x(c(w))? w**4 Let b(o) = -2*o. Let y(n) be the first derivative of -2*n**3/3 - 6. Calculate b(y(l)). 4*l**2 Let p(c) = -126*c**2. Let a(z) = 51*z**2. Calculate p(a(b)). -327726*b**4 Let g(s) = -7*s. Let w(x) = 1152*x. Calculate w(g(n)). -8064*n Let u(t) = 5*t**2. Suppose -6*x = -3*x - 21. Let l(m) = 7*m + 4*m**2 - 5*m**2 - x*m. Determine u(l(v)). 5*v**4 Let v(c) = -2*c**2. Let l(j) = -146*j. Calculate l(v(w)). 292*w**2 Let k(x) = 1 + 12*x**2 - 32*x**2 - 1. Let b(j) = -2*j. What is k(b(w))? -80*w**2 Let z(c) = -4*c**2. Let v(d) = -4*d**2. Let g(b) = -2*b**2. Let t = 3 + 0. Let m(q) = t*v(q) - 5*g(q). Give m(z(l)). -32*l**4 Let a(y) = -y. Let p(t) = -3*t. Let c(m) = -7*a(m) + 3*p(m). Let u(o) = 10*o**2. Calculate u(c(z)). 40*z**2 Let k(z) = -4*z - 3. Let y(x) = x - 2. Let d(q) = 2*q - 3. Let m(l) = -3*d(l) + 5*y(l). Let b(g) = -k(g) + 3*m(g). Let c(o) = -2*o. What is b(c(a))? -2*a Let b(y) = 2*y**2. Let p(r) = -49*r. Let x(m) = -2*m + 0*m - 2*m. Let v(s) = 3*p(s) - 35*x(s). What is v(b(d))? -14*d**2 Let t(y) = -2*y**2. Let o = 7105/24 - 296. Let f(r) be the third derivative of -o*r**4 + r**2 + 0*r + 0*r**3 + 0. What is t(f(m))? -2*m**2 Let n(v) = 54*v**2. Let f(z) = 2*z - 20. Calculate f(n(y)). 108*y**2 - 20 Let n(i) = 13*i**2 - 11*i**2 - 4*i**2.
{ "pile_set_name": "DM Mathematics" }
s picked without replacement from tytttyttty. What is prob of sequence ttyt? 1/8 Two letters picked without replacement from {z: 2, i: 1, c: 8, k: 5}. Give prob of sequence zz. 1/120 What is prob of sequence wdww when four letters picked without replacement from {y: 1, d: 2, w: 7}? 1/12 Two letters picked without replacement from qxtqqxqtttqtqxqtq. What is prob of sequence qx? 3/34 What is prob of sequence aaa when three letters picked without replacement from {i: 3, a: 3}? 1/20 Calculate prob of sequence aga when three letters picked without replacement from ahyggaaa. 1/14 Three letters picked without replacement from zzhyyyzzyzzzyzzzyy. What is prob of sequence yzh? 35/2448 What is prob of sequence ljj when three letters picked without replacement from llljljll? 1/28 Four letters picked without replacement from bkkbkkbkkdkbkbbbbbd. Give prob of sequence bbdd. 1/646 Three letters picked without replacement from uucucucccucuxc. Give prob of sequence uxc. 1/52 What is prob of sequence yk when two letters picked without replacement from yqpppdkdkkpypp? 3/91 What is prob of sequence kqkk when four letters picked without replacement from {q: 6, k: 6}? 2/33 What is prob of sequence jxx when three letters picked without replacement from {x: 7, j: 1, t: 2, i: 3, k: 4}? 7/680 Four letters picked without replacement from {r: 4, b: 7, p: 3}. Give prob of sequence bbrp. 3/143 Three letters picked without replacement from wwwggwugwgwgwgw. Give prob of sequence wwg. 8/65 What is prob of sequence wmaa when four letters picked without replacement from {m: 1, w: 1, a: 2}? 1/12 Calculate prob of sequence gxgs when four letters picked without replacement from {g: 3, x: 1, s: 11}. 11/5460 Four letters picked without replacement from {p: 3, m: 6, a: 8}. Give prob of sequence mpmp. 3/952 Four letters picked without replacement from yllyyyylyyyyyl. Give prob of sequence llyy. 45/1001 Four letters picked without replacement from {b: 1, i: 2, a: 1, x: 2, j: 1, o: 1}. Give prob of sequence iaxo. 1/420 Four letters picked without replacement from {v: 1, u: 1, z: 4, x: 2}. What is prob of sequence zzvu? 1/140 Two letters picked without replacement from {l: 1, i: 2, x: 1, h: 1}. Give prob of sequence ih. 1/10 What is prob of sequence ees when three letters picked without replacement from jeeejsejessejjjjje? 7/272 Two letters picked without replacement from {k: 1, o: 1, a: 3}. Give prob of sequence aa. 3/10 Four letters picked without replacement from {j: 4, h: 3}. Give prob of sequence hjhh. 1/35 Three letters picked without replacement from bbbcmppbphpwcpbp. What is prob of sequence bmb? 1/168 What is prob of sequence xx when two letters picked without replacement from {x: 8, r: 2, f: 2}? 14/33 Two letters picked without replacement from pghga. What is prob of sequence ag? 1/10 Calculate prob of sequence bwmb when four letters picked without replacement from {k: 1, b: 1, m: 2, w: 1}. 0 What is prob of sequence ysj when three letters picked without replacement from {e: 1, s: 4, y: 4, j: 3, g: 7}? 8/969 Calculate prob of sequence ddek when four letters picked without replacement from efdedukeehhehhhhu. 1/5712 Four letters picked without replacement from dtvtssivtjvtddvtvst. Give prob of sequence tijd. 1/5168 Four letters picked without replacement from {t: 6, n: 1, z: 1, d: 2, u: 3}. What is prob of sequence zznu? 0 Calculate prob of sequence oo when two letters picked without replacement from {r: 7, s: 6, o: 4}. 3/68 What is prob of sequence azj when three letters picked without replacement from rzjzjrajrjz? 2/165 Three letters picked without replacement from ltekj. What is prob of sequence kjl? 1/60 Four letters picked without replacement from {k: 2, f: 1, r: 1, b: 1, s: 2, g: 1}. What is prob of sequence fgbk? 1/840 Three letters picked without replacement from {m: 1, w: 1, c: 2, b: 1}. Give prob of sequence cbw. 1/30 What is prob of sequence ff when two letters picked without replacement from {h: 1, i: 4, d: 2, z: 4, w: 2, f: 7}? 21/190 What is prob of sequence pj when two letters picked without replacement from jpjgpg? 2/15 Four letters picked without replacement from ylrerrrllylullller. Give prob of sequence leyl. 7/2295 Three letters picked without replacement from eeemeeeeeeeeemeeem. Give prob of sequence mem. 5/272 Calculate prob of sequence kmk when three letters picked without replacement from bkvkkkkmk. 5/84 Two letters picked without replacement from {g: 1, p: 3, m: 3}. What is prob of sequence pg? 1/14 Calculate prob of sequence kmkk when four letters picked without replacement from {m: 4, s: 4, k: 3, r: 3}. 1/1001 Three letters picked without replacement from {r: 16, a: 4}. Give prob of sequence raa. 8/285 What is prob of sequence noj when three letters picked without replacement from ojjnj? 1/20 Four letters picked without replacement from {g: 5, e: 5, c: 2}. Give prob of sequence egcg. 5/297 Calculate prob of sequence vxvx when four letters picked without replacement from xlvvx. 1/30 Two letters picked without replacement from {i: 4}. Give prob of sequence ii. 1 Two letters picked without replacement from povvrrxb. What is prob of sequence pb? 1/56 Four letters picked without replacement from {e: 4, t: 6, d: 3}. Give prob of sequence deet. 9/715 What is prob of sequence kbf when three letters picked without replacement from {c: 4, b: 1, f: 1, k: 1, i: 2}? 1/504 Calculate prob of sequence jh when two letters picked without replacement from {u: 2, w: 1, h: 1, f: 4, j: 1}. 1/72 Calculate prob of sequence zb when two letters picked without replacement from {m: 2, r: 5, b: 1, w: 1, z: 11}. 11/380 What is prob of sequence ffk when three letters picked without replacement from buffkubbb? 1/252 Three letters picked without replacement from kwkkkwwkkwwk. Give prob of sequence kkw. 7/44 Calculate prob of sequence npyn when four letters picked without replacement from isininnpspyrypsiinis. 1/1615 What is prob of sequence ngga when four letters picked without replacement from {n: 5, g: 3, a: 1}? 5/504 What is prob of sequence qrt when three letters picked without replacement from ccrcqcqqqltcctcqq? 1/340 Calculate prob of sequence sd when two letters picked without replacement from {s: 1, z: 1, d: 1, g: 8, c: 6}. 1/272 Two letters picked without replacement from qqqhqqhqqhq. Give prob of sequence qh. 12/55 Three letters picked without replacement from {q: 4, v: 4, o: 2}. Give prob of sequence ovv. 1/30 Calculate prob of sequence ggig when four letters picked without replacement from iiigg. 0 Calculate prob of sequence cm when two letters picked without replacement from nmmnczxw. 1/28 What is prob of sequence ndnd when four letters picked without replacement from adnnaaiddnada? 3/715 Four letters picked without replacement from {w: 9, g: 10}. What is prob of sequence wggw? 45/646 Calculate prob of sequence ffff when four letters picked without replacement from {f: 9}. 1 Three letters picked without replacement from {m: 3}. Give prob of sequence mmm. 1 Two letters picked without replacement from {u: 5, k: 5, h: 8}. Give prob of sequence hh. 28/153 Three letters picked without replacement from faafaxxlxaf. What is prob of sequence xlx? 1/165 Calculate prob of sequence fkpf when four letters picked without replacement from fpkp. 0 What is prob of sequence ccc when three letters picked without replacement from {b: 12, e: 1, c: 6}? 20/969 Three letters picked without replacement from {s: 11, e: 4, i: 3}. What is prob of sequence ess? 55/612 What is prob of sequence qmj when three letters picked without replacement from {m: 2, q: 1, x: 1, o: 4, j: 4, f: 2}? 1/273 Calculate prob of sequence jyq when three letters picked without replacement from {t: 5, j: 3, q: 4, y: 4}. 1/70 Calculate prob of sequence hnh when three letters picked without replacement from {q: 2, n: 1, h: 3, x: 4}. 1/120 Two letters picked without replacement from {e: 1, h: 1, t: 3, f: 1, m: 6}. What is prob of sequence fe? 1/132 Calculate prob of sequence hq when two letters picked without replacement from xddqdxhxdddhxqhhqqq. 10/171 Two letters picked without replacement from {n: 6, o: 1, u: 3, g: 3, y: 4, v: 1}. Give prob of sequence ou. 1/102 Two letters picked without replacement from {g: 1, h: 1, f
{ "pile_set_name": "DM Mathematics" }
13 + 12 = 5*k, u = -3*y + o*k for y. 5 Let r = -4 + 18. Suppose r*b + 6 = 16*b. Solve -5*j + 30 = b*w, j = -j - 4*w + 26 for j. 3 Let z(f) = -15*f**3 + 4*f**2 + 4*f. Let q be z(-1). Suppose 4*k = -12, -5*u + 9 = 2*k - 0*k. Solve -3*n - q = u*b, -20 = -b + 2*b + 4*n for b. 0 Suppose -31 - 7 = v. Let p = -35 - v. Suppose -3*j = -4*n, -j = p*j - 16. Solve 2*b = -5*m - 2, 0 = b + 4*b - n*m - 26 for b. 4 Suppose 0 = -21*a + 840 - 189. Solve -4*m - a = 5*s, -4*m - 7 = -0*m - 3*s for m. -4 Let h be ((-10)/(-8))/((-375)/(-600)). Solve 0 = 4*x - 2*a + 16 + h, -3*x = 2*a - 4 for x. -2 Let c = 609 + -606. Solve j = -c*s - 6, -6 = 5*s - 0*s + 3*j for s. -3 Let s = -2544 - -2546. Solve 3*u - u - 21 = -3*f, 4 = -s*u + 2*f for u. 3 Suppose -3*p + c = -10, 5*c - 20 = -4*p + 8*c. Suppose -4*g = -3*d - 64, -2*d = -p*g - 0*d + 32. Solve -g = -3*t - 0*i - 2*i, 8 = 4*i for t. 4 Let p = 107 + -101. Suppose p*m = -m + 14. Solve -3*w = -8*j + 4*j + 15, 0 = 4*j + m*w + 10 for j. 0 Let a(i) be the first derivative of i**4/4 + i**3/3 - 3*i**2/2 + 4*i - 7. Let p be a(0). Solve 20 = 5*x, -3 = -y - 2*x + p for y. -1 Suppose 3*o + 34 - 129 = r, -o = 2*r - 27. Suppose 5*b - o = 3*m, -4*b + 3*m = -9 - 14. Solve -2*t + n = -3*t + b, 3*t - 5*n + 16 = 0 for t. 3 Suppose -11 = -3*j + 4. Suppose g = 3*r + 32, -5*g - r = -50 - 126. Suppose -j*a - g = -10*a. Solve 0 = 4*t + 3*d - 0*d - 23, -a = -t - 2*d for t. 5 Let l be (-2)/7 - (-37)/7. Let t be (-5)/(-2)*(-32)/(-10). Suppose t*m = 2*m + 24. Solve -3*f - 5 = -l*f - d, -24 = -3*f + m*d for f. 4 Suppose 45 = 16*h - 35. Solve 0*q - h = -2*q - 3*r, 0 = 5*q - 2*r - 22 for q. 4 Suppose 5*t = 2*u + 16, -t - 5*u = -0 - 14. Solve -5*k + 32 = 3*v - 2, -2*v + 26 = t*k for v. 3 Let z(q) = -q**2 + 37*q - 184. Let t be z(31). Solve -5*f = a - 3, -3*a - t*f - 4 = -0*a for a. -2 Let r(n) = 22*n + 5. Let x be r(0). Solve x*c + 10 = -3*y, -c - 2*y + 2 = 4 for c. -2 Let k = 8 + -7. Suppose -5*t + 9 = -k. Suppose 6 = c + t*c. Solve -2*p - 3*p + 17 = 3*l, -c*p + 5 = 3*l for l. -1 Let r = 33 + 1. Suppose 0 = 2*m + 5*g + 8 - r, -g + 19 = 5*m. Solve 2*a + m = -u - 0, 2*a - 9 = -5*u for u. 3 Let y(j) = 28*j + 1. Let u be y(3). Let w = -84 + u. Solve -2*p = -i + w - 4, -2*p = 2*i + 6 for p. 0 Let g be 6/4*4/3. Suppose 0 = -12*k - 20*k. Suppose 5 = g*h - 3*p, k*h - p = h - 5. Solve t - 3*f = 5, -h*f - 9 = -f for t. -4 Let w(k) = 15*k - 42. Let x be w(3). Suppose -2*h - h + 12 = 0. Suppose 2*a - 55 = -x*n, -2*n + 6 = -h. Solve -d + a = -4*z + 3*d, 5*z = 4*d - 25 for z. -5 Let f be (20/(-18))/5 + 580/180. Solve -f*m = -2*n - 5*m + 2, 0 = -n + 2*m - 11 for n. -3 Suppose 2*a = 5*y + 13, -2*a = 2*a + y - 15. Suppose a*o = -28 + 4. Let h be (3 + o)*(-3)/1. Solve -h = i + 2*u - 0, 4*i + u = -15 for i. -3 Let s(v) = -2*v - 26. Let q be s(-15). Solve 2*m - 14 = -q*u, 0*u + u + 10 = -5*m for u. 5 Suppose 4*l = -5 - 11. Let r = 4 - l. Suppose 4*d - r = h + 7, -5 = -h. Solve -z + 3*j - 1 = 0, 2*z - d*j = -1 - 1 for z. -1 Let x be (-32)/24*(-4 - (-15)/6). Solve -3*z - 15 = 4*l, 0*z + 5*l = x*z - 13 for z. -1 Let u = -57 + 81. Suppose 5*v = -f - 6, -3*f + 4*v = f - u. Solve 2*i - 4 = f*l - 2*l, -4*i = l + 12 for i. -2 Suppose -23 = -5*h - 3. Solve 4 = 5*i - h*c, -2*i + 2 = i - 2*c for i. 0 Let s = 11 - 8. Let u = -5 + 5. Suppose u = -4*p - 5*o + 10 + 50, 24 = 2*p + o. Solve p = -2*g - 2*g - s*w, -g - 6 = -w for g. -4 Suppose -301*m + 307*m - 96 = 0. Solve -t = -3*c - 11, -6*c + c + 4*t - m = 0 for c. -4 Let k be -2*1*2/(-2). Suppose -5*n - c + 11 = 0, 4*n + 4*c + 10 = k*n. Let h be 118/6 + 69/(-9) + 8. Solve -p - p - n*o - h = 0, -o = -p for p. -4 Let b(j) = 2*j**2 - 34*j + 64. Let k be b(15). Solve 0 = k*o + p - 1 + 7, 2*p + 3 = o for o. -1 Let s be -4 - (0 - (-38)/1). Let i = -40 - s. Solve i*m = 5*n - 7 - 3, n = -3*m + 2 for n. 2 Let v(m) = -2*m**2 + 10*m + 51. Let l be v(8). Solve -l*q - 5*n + 10 = 0, -19 = 2*q - 4*n - 33 for q. 5 Let n = 916 - 876. Solve -3*i + n = -5*r, 2*i - 4*r - 30 = -0 for i. 5 Let h be (432/(-12))/6 + (-8)/(-1). Solve 3*w - 2*w + 5 = n, -2*w = 2*n - h for w. -2 Let i = 263 - 258. Solve 5*v + 3*g + 7 = 0, v - 2*v - i = -3*g for v. -2 Suppose -7*g + 28 = -3*g. Suppose -2*s + 8*s = 42. Let p = s - g. Solve 4*f - 2*f + 4*z = 6, -z + 2 = p for f. -1 Let j(h) = h + 39. Let p be j(-39). Solve p = k + 5*o + 7 - 34, 4*k = 4*o - 12 for k. 2 Suppose 3*l = 4*p - 48 - 131, -5*l - 289 = -2*p. Let a = l - -60. Solve 0 = -4*y - 0*f - f + 5, a*f = 2*y - 13 for y. 2 Let d(u) = 2*u + 10. Let t be d(-4). Solve 2*l = 2*i - 2, 4*l - t*l = i + 2 for l. 3 Let y be -6 - (-16)/(-12)*-6. Solve 4*k = -d + 15, 11*k = 6*k - y*d + 21 for k. 3 Suppose 2*d - 67 = -4*t - 25, 2*t + 12 = 2*d. Suppose -31 = -o - d. Solve 0 = -5*c + o, 5*b - c - 11 - 10 = 0 for b. 5 Let c = -30 - -44. Let d be (8/(-4) + 1 + 2)*-69. Let p = -64 - d. Solve 3*j - j - c = 5*l, -19 = p*j + l for j. -3 Let o = -15 + 16. Let c be o/((-5)/(-30)*(-3)/(-2)). Solve -c*z = -3*t + 4*t - 8, -2*t = -z + 11 for z. 3 Let p = 187 - 183. Solve -2*q + 0*i - p = -2*i, -2*q = i - 2 for q. 0 Suppose 16*w + 62 = 18*w. Suppose 4 = -b, -3*i + 2*b = -2*b - w. Let f be 2/6 + (-22)/(-6). Solve -i*m - 3*r - 2 - 15 = 0, -5*m = f*r + 16 for m. -4 Suppose 27 = -2*a + 33. Solve 5*o - i = -4, a*i + 20 = -3*o + 8*i for o. 0 Let t = -13 - -16. Suppose 0 = t*s - s - 5*k + 1, 4*k - 6 = -s. Suppose -l + 9 = s*l. Solve -27 = -l*b + 4*x, -5*x - 6 = -3*x for b. 5 Let x be 2*4 + -3 + 1. Let y be ((-2)/x)/(4/(-36)). Suppose -y*m - 2*m + 15 = 0. Solve m = -2*n - b - 1, n = -2*b + 1 for n. -3 Suppose 0 = 18*y - 27 - 27. Solve -2*m - 2*w + 2 = w, -y*m = -3*w - 3 for m. 1 Let k = -57 - -120. Suppose -r = 2*r - k. Suppose -4*x + r = 5. Solve -x*l + 9*l = -20, -9 = -w + 3*l for w. -3 Suppose -4*z = -4*x + 88, -5*x = -4*z + 49 - 161. Let y = -11 + 11. Suppose y = -7*n - 2*n + 3*n. Solve -2*c + 18 = 3*c - h, 4*c - 4*h - x = n for c. 3 Suppose 5*o = -5*n - 10, -3*o + 17 = -4*n - 12. Solve -4*f + 2*p = 3*p - 11, -o*p - 35 = -5*f for f. 4 Let h = -66 + 66. Solve 2*t - 4*c + 4 = h, -2*c + 4 = -3*t + 2 for t. 0 Suppose 2*c + 63 = 9*c. Suppose -2*u + c*u = 35. Let b be (-8 - -1 - -2)/(-1). Solve -u*s + 4 = -4*f, 0 = -0*f + 5*f - b*s for f. 4 Suppose 12*k = 5*k. Solve 3*b - 2*j - j + 3 = k, -4*j = b + 1 for b. -1 Let i(p) = -p**3 - 13*p**2 - 14*p - 9. Suppose -k = 4*t + 46, 2*t + 4*k - 2 = -18. Let j be i(t). Solve f = 4*n - 0*f - j, 0 = n + 4*f - 25 for n. 5 Let y be (5/(-2))/((-3)/(-6)). Let u(o) = -o - 2. Let l be u(y). Suppose 0 = -2*n + 2, -46*n = 5*v - 45*n - 16. Solve 2*d + l*z - v = -1, 5*z = 3*d - 22 for d. 4 Suppose 1 = -4*q + 21. Suppose 2*w + 18 = 3*v + q*w, v - 2*w = 0. Solve 4 - 5 = f + v*c, 2 = 2*f + 4*c for f. 3 Let a be (-8)/((-2 - 0)*1). Solve 5*f - 2 = -h, -a*f + 4*h + 13 = -3 for f. 1 Suppose 4*r - 4*p + 20 = 0, 4*r - 6*p + 22 = -3*p. Let c = -3 - r. Solve -5*m = u + 20, 0 = -u + 5*u + m + c for u. 0 Let p(z) = 0*z - 9*z + 2*z + 6*z - 2. Let g = 6 + -13. Let t be p(g). Solve -3*d - t*l + 8 = -0*d, 0 = 5*d + 2*l - 7 for d. 1 Suppose 5*q - 4*q = 2*y + 27, 0 = 3*q + 3. Let o be (y + 15)*(-1 + 3). Solve -o*g + 4*g + 2*c + 8 = 0, -c = 5 for g. 1 Let o be 45/(25/5) + -4. Let d = 30 - 25. Solve 2*u + j - 4 = o*j, 18 = d*u - 2*j for u. 4 Let r(k) = 4*k. Let o be r(1). Solve 3*c + s = 3*s - o, c + 2 = s for c. 0 Suppose 0 = -8*b + 33 + 7. Solve -18 = b*i - p, 0 - 10 = 2*i + p for i. -4 Let k be 2 - (-9)/7 - (-6)/(-21). Solve 6*z + 2 = y + 9*z, -k*z = -4*y - 22 for y. -4 Suppose -13*j + 119 = -12*j. Let d = j - 119. Solve d*y = y + 5, -22 = -r + 5*y for r. -3 Let y(d) = -d**3 - 2*d**2 - 2*d. Let p be y(-1). Suppose -3*c + 3 = -x, -2*x - 3 = -4*c + p. Solve 2*f = -2*f - 3*w - 12, 2*f - w - 4 = x for f. 0 Suppose 0 = 2*h - 15*h + 39. Solve j - h*m = 1, -3*j - 13 = 2*j + 3*m for j. -2 Suppose -a - 35 = 6*a. Let u be 0/5 - (a - -1). Solve -u*f - 21 = q, -q + 8 = -4*f - 3 for f. -4 Suppose -9*u + 16 = -7*u. Let c = u + -9. Let n = 1 - c. Solve n*p - 11 = -3*m, -m - 4*p = p - 21 for m. 1 Suppose y + 2*t = -2, 5*y - 4*t + 3 = -21. Let g = y + -2. Let o be 2/4 - 27/g. Solve -12 = -2*n - m, 0*n - 4*m = o*n - 36 for n. 4 Let c be 0 - -4*(-2)/(-2). Suppose -4*q = -7*q, c*q = -2*b + 68. Solve -5*j + b = -5*u + 4, -u = -2*j + 10 for j. 4 Let a be 3 + (-
{ "pile_set_name": "DM Mathematics" }
**3 - 24 Collect the terms in -8*l**2 - 20*l**2 - 694*l + 32*l**2 + 693*l. 4*l**2 - l Collect the terms in 28602*r**3 - 3*r**2 + 3*r**2 + 22817*r**3. 51419*r**3 Collect the terms in -333*j**2 + 75*j**2 - 650*j**2 - 938*j**2. -1846*j**2 Collect the terms in 882*k - 198*k**2 - 5*k**3 + 6*k**3 + 198*k**2. k**3 + 882*k Collect the terms in -131 + 513 - 125 - 121 - 2*l**3 - 136. -2*l**3 Collect the terms in 2631*n + 2626*n - 5254*n. 3*n Collect the terms in 4*p**3 + 178849*p**2 + 14*p**3 - 178849*p**2 - 15*p**3. 3*p**3 Collect the terms in -3 + 26 - 85 + 0*z**2 - 3*z**2 + 0*z**2. -3*z**2 - 62 Collect the terms in -10 - 10 - 189*p**2 + 196*p**2. 7*p**2 - 20 Collect the terms in 35505 - 35505 - 10*n**3. -10*n**3 Collect the terms in 8*s**2 - 46*s**2 - 30*s**2 + 113*s**2 + 154*s**2. 199*s**2 Collect the terms in -2*v**3 + 34869*v - 17397*v - 17472*v. -2*v**3 Collect the terms in 39 + 4 - 741*a**2 - 43. -741*a**2 Collect the terms in 126*p**2 - 428 + 428. 126*p**2 Collect the terms in -2 - 1 - 4 + 0 - 2 + 9*b. 9*b - 9 Collect the terms in -9*a**2 + 1137052*a**3 + 9*a**2 - 1137057*a**3. -5*a**3 Collect the terms in -226*n**3 + 13 - 16 + 3. -226*n**3 Collect the terms in -15*d + 16*d + 187*d - 101*d. 87*d Collect the terms in d**2 - 230*d**3 - d**2 - 5*d**2 + 2. -230*d**3 - 5*d**2 + 2 Collect the terms in -1848*v + 1105*v + 738*v. -5*v Collect the terms in 30 - 2*j**2 + 4*j - 23 - 7. -2*j**2 + 4*j Collect the terms in 2263 - 6773 + 9*b + 2244 + 2266. 9*b Collect the terms in 277*m**2 + 357*m**2 - 631*m**2. 3*m**2 Collect the terms in -98*o**3 - 19*o + 4*o + o**3 + 16*o. -97*o**3 + o Collect the terms in -356*y - 594*y**3 + 356*y. -594*y**3 Collect the terms in 0*n**2 + 9*n**3 - n**2 - 2*n**2 + 52*n. 9*n**3 - 3*n**2 + 52*n Collect the terms in 14*z**2 - 1 + 3*z - 3*z + 41*z**2 - 30*z**2. 25*z**2 - 1 Collect the terms in 19*k**3 - 2*k**3 + 4*k**3 - 74*k**3. -53*k**3 Collect the terms in -2528*a - 1544*a + 700*a. -3372*a Collect the terms in 2354841940 - 7*o**2 + 8*o**2 - 2354841940. o**2 Collect the terms in 105*j**3 - 9*j**3 + 63*j**3. 159*j**3 Collect the terms in -8*m + m**2 + 11*m + 5*m. m**2 + 8*m Collect the terms in 443 - 443 + 5*t**3 + 0. 5*t**3 Collect the terms in 0*k**3 + 1427*k - 2*k**3 + 1151*k. -2*k**3 + 2578*k Collect the terms in -46*t - 16*t**3 + 7*t**3 + 12*t**3. 3*t**3 - 46*t Collect the terms in 498*i**2 - 988*i**2 + 490*i**2 + 6*i**3 - 7*i. 6*i**3 - 7*i Collect the terms in -9458*u + 36 - 36. -9458*u Collect the terms in -402 - 224*t + 402. -224*t Collect the terms in 40 + 39 - 79 - 6*f + 9*f - f. 2*f Collect the terms in -58*x**2 - 63*x**2 - 12*x**3 - 49*x**2 + 170*x**2. -12*x**3 Collect the terms in -x**3 - 50*x + 233*x + 443*x. -x**3 + 626*x Collect the terms in -1 - 1071*n**3 + 4 - 3 + 29*n**3. -1042*n**3 Collect the terms in 4*a**2 + 72*a + 22*a - 5*a + 2. 4*a**2 + 89*a + 2 Collect the terms in -14*k**3 + 1 + 24*k**3 - 7*k**3 - 72*k. 3*k**3 - 72*k + 1 Collect the terms in 82*s**3 + 204*s**2 + 208*s**2 - 86*s**3 + 209*s**2 - 621*s**2. -4*s**3 Collect the terms in 873*m + 895*m - 1765*m. 3*m Collect the terms in 2350*f**2 - 2335*f**2 + 258 + 260 - 518. 15*f**2 Collect the terms in 27215 - 3*p - 27215 + 3*p - 29*p**2. -29*p**2 Collect the terms in -482*b - 466*b + 202*b. -746*b Collect the terms in -2033*z**3 - 2034*z**3 + 4070*z**3. 3*z**3 Collect the terms in -27 - 9*h - 4*h + 39. -13*h + 12 Collect the terms in -189*d - 188*d + 557*d - 182*d. -2*d Collect the terms in -5*q**2 + q**2 + 12*q**3 + 4*q**2 - 10*q**3. 2*q**3 Collect the terms in k - 1078891285 + 1078891285. k Collect the terms in -12*y - 51*y + 6*y. -57*y Collect the terms in -97*o**2 + 31*o**2 + 35*o**2 + 19*o**2. -12*o**2 Collect the terms in -148723*p + 49576*p + 49578*p + 49565*p. -4*p Collect the terms in 5169*z + 5182*z + 5156*z - 15508*z. -z Collect the terms in -873347*x + 873347*x + 11*x**3. 11*x**3 Collect the terms in -k - 277 - 259 + 536. -k Collect the terms in -437*t**2 - 10 - 14*t**2 + 10. -451*t**2 Collect the terms in 5 + 0*l + 0*l - 60855*l**3 + 60557*l**3. -298*l**3 + 5 Collect the terms in -13*f + 4216 + 17*f + 11*f**2 - 4216 + 18*f. 11*f**2 + 22*f Collect the terms in -8351*t + 16644*t - 8316*t. -23*t Collect the terms in 23*w**2 - 15*w**2 - 4*w**2 - 4*w**2 + 16*w**3. 16*w**3 Collect the terms in -2*k**3 + 24635793*k - 24635793*k. -2*k**3 Collect the terms in p + 575272*p**2 - 575241*p**2 - p. 31*p**2 Collect the terms in -4*s**3 + 1364*s**2 - 1365*s**2 + 11*s**3. 7*s**3 - s**2 Collect the terms in 0*z**2 - 5*z**2 - 6*z**2 - 5*z**2 - 4*z - 6*z**2 + 27*z**2. 5*z**2 - 4*z Collect the terms in -152*k**3 - 153*k**3 + 605*k**3 - 155*k**3 - 149*k**3. -4*k**3 Collect the terms in -1874*z**3 + 1028*z**3 + 862*z**3. 16*z**3 Collect the terms in -168*y + 81*y + 247*y**2 + 87*y - 269*y**2. -22*y**2 Collect the terms in 219*g**2 - 11*g + 13*g - 4*g - 650*g**2. -431*g**2 - 2*g Collect the terms in -12*h - 8*h - 15*h + 50*h + 2*h**2 - 15*h. 2*h**2 Collect the terms in 19867*v + 28173*v + 43241*v. 91281*v Collect the terms in 35148*g**2 + 45748*g**2 - 10837*g**2. 70059*g**2 Collect the terms in 59*w**2 + 53*w**2 + w - w - 114*w**2. -2*w**2 Collect the terms in -13435*o**2 - 13430*o**2 + 26867*o**2. 2*o**2 Collect the terms in 1 + 17*g**3 - 1 + 27*g**3. 44*g**3 Collect the terms in -17*q + 19*q + 24*q - 49*q + 26*q. 3*q Collect the terms in -4 + 0 + 0 + 31*c - 5*c. 26*c - 4 Collect the terms in 7*p**3 - 28*p**2 + 28*p**2 + 380*p**3. 387*p**3 Collect the terms in 96*c - 328*c - c**2 + 49*c + 93*c + 90*c. -c**2 Collect the terms in -4274*b**2 - 4296*b**2 + 8572*b**2. 2*b**2 Collect the terms in 8*u**2 - 4*u**2 + 306*u + 4*u**2 + 3*u**2 + 7. 11*u**2 + 306*u + 7 Collect the terms in 1 + 59*y + 2170*y**2 - 59*y. 2170*y**2 + 1 Collect the terms in -277933*k**3 + 555889*k**3 - 277958*k**3. -2*k**3 Collect the terms in 44*r**3 + 5490 - 220*r**3 - 5490. -176*r**3 Collect the terms in -13*d**2 + 142 - 142. -13*d**2 Collect the terms in -10891*k - 350 + 350 + 10893*k. 2*k Collect the terms in 262*q - 1921*q - 584*q. -2243*q Collect the terms in -9*s + 3*s - 2*s + 8*s - 31*s**3. -31*s**3 Collect the terms in 15*f**2 + 1283 + 1172 - 2455. 15*f**2 Collect the terms in -26*x + 10*x + 6*x - 34*x**2 + 7*x + 3*x. -34*x**2 Collect the terms in -307*j + 185*j + 125*j. 3*j Collect the terms in 18*v**3 - 671261*v + 671261*v. 18*v**3 Collect the terms in 43 - 1964*m**2 - 43 - 5733*m**2. -7697*m**2 Collect the terms in 29*o**2 - 75*o**3 + 41*o**3 - 125*o**3. -159*o**3 + 29*o**2 Collect the terms in -60*s + 143*s - 5 + 5 - 36*s - 36*s. 11*s Collect the terms in -2*a - 718*a**3 + 5*a**3 - 863*a**3 + 2*a. -1576*a**3 Collect the terms in 94835*n**3 + 3 - 6 + 3. 94835*n**3 Collect the terms in 0*s + 6*s - 3*s - 5 + s. 4*s - 5 Collect the terms in -39*t - 2*t - 3 + 72*t - 30*t. t - 3 Collect the terms in -6 + 6 - 378*s**3 - 1 - 2. -378*s**3 - 3 Collect the terms in 6*p - 51*p + 12*p + 11*p + 15*p. -7*p Collect the terms in 23*s + 31*s + 53*s + 201*s. 308*s Collect the terms in -87*u**2 - 26*u**2 - 2 - 16*u**2 + 0. -129*u**2 - 2 Collect the terms in -14*p - 12*p + 21*p - p. -6*p Collect the terms in 161*h**2 - 58*h**2 - 55*h**2 - 58*h**2. -10*h**2 Collect the terms in -22*s**2 + 28*s**2 + 14*s**2 - 27*s**2. -7*s**2 Collect the terms in 32*z**2 + 8*z - 7 + 35 - 2. 32*z**2 + 8*z + 26 Collect the terms in -4*n**3 + 3350*n + 2*n**2 + 176*n + 6*n**3. 2*n**3 + 2*n**2 + 3526*n Collect the terms in -1449 + 2891 - 1442 + 15*q. 15*q Collect the terms in 1 - 1193*y - 1 + 1309*y. 116*y Collect the terms in -18251*c + 7407*c - 58989*c - 22592*c. -92425*c Collect the terms in -133*i**2 - 127*i**2 + 513*i**2 - 127*i**2 - 128*i**2. -2*i**2 Collect the terms in 17*l + 5*l + 5*l - 9*l - 3. 18*l - 3 Collect the terms in -26*j + 62*j + j**3 + 34*j**3 - 37*j. 35*j**3 - j Collect the terms in -6*a**3 + 0*a**3 + a**3 + 230 + 4*a**3. -a**3 + 230 Collect the terms in 2*h**2 + 30 + 12 - 42. 2*h**2 Collect the terms in -9108*c - 14388*c - 23064*c. -46560*c Collect the terms in 0 - 3*w + 8 + w - 4*w - 5. -6*w + 3 Collect the terms in -1 - 11*f**2 + 302*f - 302*f. -11*f**2 - 1 Collect the terms in 8541 - 4269 - 4272 - 6*q**2. -6*q**2 Collect the terms in -7 + 480*t**2 - 4 - 9 + 20. 480*t**2 Collect the terms in 1931*v*
{ "pile_set_name": "DM Mathematics" }
67929, -367368, -366807? -366246 What is next in 95, 527, 1221, 2123, 3179, 4335, 5537, 6731? 7863 What is next in 46419995, 92839999, 139260003, 185680007, 232100011? 278520015 What comes next: 48335, 96741, 145225, 193817, 242547, 291445, 340541, 389865? 439447 What is the next term in 3879, 30569, 103023, 244125, 476759? 823809 What comes next: 11200, 11757, 12314, 12871? 13428 What comes next: 1920223, 7680900, 17282027, 30723604, 48005631, 69128108, 94091035? 122894412 What is the next term in -514770, -1029532, -1544296, -2059062, -2573830, -3088600? -3603372 What is next in -7551, -13934, -20317? -26700 What comes next: 44, -42, -382, -1108, -2352? -4246 What comes next: 15050, 60163, 135350, 240611, 375946? 541355 What is the next term in 8637, 33836, 75763, 134412, 209777? 301852 What is the next term in -11203, -11196, -11189, -11182, -11175, -11168? -11161 What is next in -972, -3701, -8362, -14955, -23480? -33937 What is next in 98415035, 98415032, 98415029, 98415026? 98415023 What comes next: -1025640, -2051296, -3076958, -4102626, -5128300, -6153980? -7179666 What is the next term in 1621, 1335, 993, 601, 165, -309, -815? -1347 What is next in -481, -3060, -9803, -22732, -43869? -75236 What comes next: -116194, -232387, -348580, -464773, -580966, -697159? -813352 What comes next: 227429, 454851, 682273, 909695? 1137117 What is next in 422, 647, 1334, 2711, 5006? 8447 What comes next: 16881523, 16881519, 16881513, 16881505, 16881495, 16881483, 16881469? 16881453 What is next in -9470, -4129, 1212, 6553, 11894, 17235? 22576 What comes next: 75, -45, -313, -783, -1509, -2545, -3945? -5763 What comes next: -2080359, -2080362, -2080373, -2080398, -2080443, -2080514, -2080617, -2080758? -2080943 What comes next: 46460, 185942, 418412, 743870, 1162316? 1673750 What is next in 13941, 13980, 14037, 14112, 14205, 14316, 14445? 14592 What is next in -36607, -73237, -109861, -146479, -183091, -219697, -256297? -292891 What is the next term in 511699189, 511699187, 511699185, 511699183? 511699181 What comes next: 53401, 52641, 51881, 51121? 50361 What is the next term in 3311, 6556, 9725, 12818, 15835? 18776 What comes next: -270578, -541134, -811704, -1082294, -1352910? -1623558 What is next in 12192, 24937, 37684, 50433? 63184 What is the next term in -9151, -9144, -9151, -9172, -9207, -9256? -9319 What comes next: -84079, -168355, -252829, -337501, -422371, -507439? -592705 What is the next term in 35028, 34953, 34812, 34599, 34308? 33933 What is next in 2464, 10331, 23420, 41731, 65264? 94019 What comes next: -30537, -61118, -91687, -122238, -152765, -183262, -213723? -244142 What is the next term in 6594, 13014, 19200, 25152, 30870, 36354? 41604 What is the next term in -1858, -3684, -5496, -7294? -9078 What comes next: 44383, 41512, 38641? 35770 What comes next: 112466858, 224933715, 337400572, 449867429, 562334286? 674801143 What comes next: 13783, 27791, 41799, 55807, 69815, 83823? 97831 What is next in -34865, -139197, -312995, -556259? -868989 What is the next term in 5191, 20382, 45727, 81226, 126879, 182686, 248647? 324762 What is next in 76794, 76815, 76860, 76935, 77046, 77199? 77400 What is the next term in 12254, 17597, 22940? 28283 What is next in 5105, 40579, 136843, 324287, 633301, 1094275, 1737599, 2593663? 3692857 What is the next term in -1167, -9690, -32927, -78240, -152991, -264542? -420255 What comes next: 4092, 15546, 34350, 60504? 94008 What comes next: -502, -536, -526, -472, -374? -232 What comes next: 2022, 4126, 7662, 12636, 19054, 26922? 36246 What is next in -1086, -711, -318, 99, 546? 1029 What comes next: -412079, -412051, -412023, -411995, -411967, -411939? -411911 What comes next: 5678, 11370, 17052, 22712, 28338, 33918? 39440 What is next in 11849, 23670, 35439, 47138, 58749, 70254, 81635? 92874 What is the next term in 15157, 30179, 45055, 59779, 74345, 88747, 102979, 117035? 130909 What comes next: -76503, -76481, -76459, -76437? -76415 What is the next term in 1362, 4919, 9864, 15393, 20702? 24987 What is the next term in 4012494, 4012425, 4012318, 4012179, 4012014, 4011829? 4011630 What is the next term in 2006323009, 2006323017, 2006323039, 2006323081, 2006323149, 2006323249, 2006323387, 2006323569? 2006323801 What is the next term in 18348351, 18348352, 18348353, 18348354, 18348355, 18348356? 18348357 What comes next: -19537462, -19537461, -19537460? -19537459 What comes next: 800771, 3203431, 7207863, 12814067, 20022043, 28831791, 39243311? 51256603 What is next in -64163, -132418, -200673, -268928, -337183? -405438 What is next in -255853, -511697, -767543, -1023391, -1279241, -1535093, -1790947? -2046803 What is the next term in -23091563, -46183126, -69274689, -92366252? -115457815 What comes next: -28063, -28244, -28425, -28606, -28787? -28968 What is next in 5923, 11873, 17821, 23767, 29711? 35653 What is next in 182845397, 182845391, 182845387, 182845385, 182845385? 182845387 What is the next term in 109885, 220119, 330703, 441637, 552921, 664555? 776539 What comes next: -52975, -423673, -1429795, -3389053, -6619159? -11437825 What is the next term in -3121011, -3121063, -3121117, -3121173, -3121231, -3121291, -3121353? -3121417 What is the next term in -3355, -3414, -3511, -3640, -3795, -3970? -4159 What is the next term in 9883, 10162, 10441, 10720? 10999 What is next in -2330, -4221, -9316, -19217, -35526, -59845? -93776 What is the next term in -4582030, -18328206, -41238500, -73312912, -114551442, -164954090? -224520856 What is next in -13492, -26595, -48432, -79003, -118308, -166347? -223120 What comes next: -14494, -14383, -14190, -13915, -13558, -13119, -12598? -11995 What is the next term in 131465, 262815, 394165, 525515, 656865? 788215 What is next in -72044, -65816, -59588, -53360, -47132? -40904 What is next in -6421, -7930, -9439? -10948 What comes next: 10713, 21265, 31655, 41883, 51949, 61853, 71595? 81175 What is next in 332, 7515, 19486, 36245, 57792, 84127, 115250? 151161 What is the next term in -212793, -212961, -213131, -213303? -213477 What is the next term in -9540, -7818, -4946, -924? 4248 What is next in 210, 783, 1764, 3153? 4950 What is next in 119510, 239125, 358740? 478355 What is next in -406696, -813403, -1220122, -1626853, -2033596, -2440351, -2847118? -3253897 What comes next: 6069, 6142, 6237, 6366, 6541, 6774? 7077 What is the next term in -25843, -103329, -232443, -413185? -645555 What is next in 24900, 51690, 78464, 105216, 131940, 158630? 185280 What is the next term in -424117, -3392904, -11451061, -27143278, -53014245, -91608652, -145471189, -217146546? -309179413 What is the next term in 1954, 3729, 5452, 7123? 8742 What is next in -607446, -607490, -607534? -607578 What is the next term in -1820350, -1820395, -1820462, -1820563, -1820710, -1820915, -1821190, -1821547? -1821998 What comes next: -9597, 202, 16541, 39426, 68863, 104858, 147417, 196546? 252251 What comes next: -152702, -305427, -458158, -610895, -763638, -916387? -1069142 What is the next term in -3590426, -3590431, -3590436? -3590441 What comes next: -1914, -15821, -53558, -127035, -248162, -428849, -681006, -1016543? -1447370 What is next in -106259, -105767, -104947, -103799, -102323, -100519? -98387 What comes next: -201667, -201686, -201705? -201724 What is next in 693826, 1387853, 2082074, 2776489, 3471098, 4165901, 4860898? 5556089 What is next in 1438582, 1438591, 1438600? 1438609 What comes next: 9205, 37046, 83439, 148384, 231881? 333930 What is next in 98202, 98234, 98266, 98298, 98330, 98362? 98394 What is the next term in 756189, 1512374, 2268559, 3024744, 3780929, 4537114? 5293299 What is the next term in 27443, 25409, 23373, 21335, 19295? 17253 What is the next term in 31848, 63754, 95720, 127746? 159832 What comes next: 256, 525, 754, 955, 1140, 1321? 1510 What is next in 920584, 1841163, 2761742, 3682321, 4602900, 5523479? 6444058 What is the next term in 30715487, 30715488, 30715489, 30715490, 30715491? 30715492 What is next in 8469, 14168, 19867, 25566? 31265 What is next in -281, -1270, -2915, -5216, -8173, -11786, -16055? -20980 What comes next: 4433, 4474, 4577, 4742, 4969, 5258, 5609? 6022 What is the next term in -11160, -11083, -11006, -10929, -10852, -10775
{ "pile_set_name": "DM Mathematics" }
1966? 18 What is the greatest common factor of 325 and 13520? 65 Calculate the greatest common divisor of 5 and 10005. 5 Calculate the highest common factor of 336 and 126. 42 Calculate the greatest common factor of 5053 and 3097. 163 Calculate the greatest common divisor of 14 and 343. 7 Calculate the highest common factor of 17 and 646. 17 Calculate the greatest common divisor of 111 and 148. 37 Calculate the highest common divisor of 63 and 1785. 21 Calculate the greatest common factor of 1526 and 210. 14 Calculate the greatest common divisor of 176 and 198. 22 What is the greatest common divisor of 15962 and 138? 46 What is the greatest common factor of 8 and 60? 4 What is the highest common divisor of 1464 and 48? 24 What is the greatest common divisor of 3634 and 368? 46 What is the highest common divisor of 248 and 1612? 124 What is the highest common factor of 20 and 620? 20 What is the highest common divisor of 7 and 1841? 7 What is the highest common divisor of 24 and 36? 12 Calculate the greatest common divisor of 80 and 64. 16 Calculate the greatest common factor of 3 and 27. 3 What is the highest common divisor of 12 and 5316? 12 What is the greatest common divisor of 135 and 27? 27 Calculate the highest common factor of 3 and 192. 3 Calculate the greatest common factor of 8 and 11. 1 What is the highest common divisor of 16 and 1328? 16 What is the highest common factor of 1 and 102? 1 What is the highest common factor of 2970 and 440? 110 What is the greatest common factor of 32 and 40? 8 Calculate the greatest common divisor of 16 and 576. 16 Calculate the highest common divisor of 6 and 38. 2 Calculate the greatest common factor of 60 and 12. 12 What is the greatest common factor of 45 and 23070? 15 What is the greatest common divisor of 27 and 8397? 27 What is the highest common divisor of 113 and 2825? 113 What is the greatest common factor of 46 and 4094? 46 Calculate the greatest common divisor of 9 and 10593. 9 What is the highest common factor of 7 and 15736? 7 What is the greatest common factor of 22 and 16? 2 Calculate the greatest common factor of 380 and 280. 20 Calculate the highest common factor of 621 and 46. 23 What is the highest common divisor of 476 and 980? 28 Calculate the greatest common factor of 1221 and 148. 37 Calculate the greatest common factor of 19 and 3781. 19 What is the greatest common factor of 280 and 1855? 35 What is the highest common divisor of 288 and 40? 8 Calculate the highest common factor of 18 and 606. 6 What is the highest common divisor of 2599 and 23? 23 What is the highest common factor of 6 and 722? 2 Calculate the greatest common factor of 8 and 293. 1 What is the highest common divisor of 36 and 72? 36 What is the greatest common factor of 416 and 4394? 26 What is the greatest common divisor of 265 and 1643? 53 What is the greatest common factor of 6862 and 292? 146 What is the highest common factor of 27944 and 112? 56 Calculate the greatest common factor of 200 and 1300. 100 Calculate the greatest common factor of 418 and 308. 22 Calculate the highest common factor of 697 and 17. 17 What is the greatest common factor of 10 and 5630? 10 What is the greatest common factor of 16 and 7184? 16 Calculate the greatest common factor of 1966 and 6. 2 Calculate the greatest common factor of 2320 and 2088. 232 Calculate the highest common divisor of 6688 and 266. 38 Calculate the highest common factor of 21888 and 128. 128 Calculate the highest common factor of 16299 and 18. 9 What is the greatest common factor of 1275 and 300? 75 Calculate the highest common divisor of 2233 and 3828. 319 Calculate the highest common factor of 1311 and 276. 69 What is the greatest common factor of 1362 and 42? 6 Calculate the highest common divisor of 134 and 14. 2 Calculate the greatest common divisor of 480 and 40. 40 What is the highest common factor of 390 and 90? 30 Calculate the greatest common divisor of 4 and 150. 2 What is the highest common factor of 56 and 136? 8 What is the greatest common factor of 10 and 7? 1 What is the greatest common divisor of 510 and 340? 170 What is the highest common divisor of 133 and 21? 7 Calculate the highest common factor of 518 and 222. 74 What is the greatest common divisor of 7110 and 36? 18 What is the highest common divisor of 19840 and 124? 124 What is the greatest common divisor of 616 and 1628? 44 What is the greatest common factor of 84 and 4740? 12 Calculate the greatest common factor of 40 and 64. 8 Calculate the highest common divisor of 84 and 324. 12 What is the highest common factor of 63 and 1449? 63 Calculate the highest common divisor of 115 and 621. 23 Calculate the highest common divisor of 143 and 11. 11 What is the greatest common factor of 34257 and 57? 57 Calculate the highest common divisor of 58 and 8. 2 Calculate the highest common divisor of 4598 and 38. 38 Calculate the greatest common factor of 124 and 310. 62 Calculate the highest common divisor of 224 and 7112. 56 What is the greatest common factor of 161 and 46? 23 Calculate the greatest common factor of 95 and 76. 19 Calculate the greatest common divisor of 242 and 88. 22 Calculate the highest common divisor of 6 and 22. 2 What is the highest common divisor of 44 and 319? 11 Calculate the greatest common divisor of 23760 and 27. 27 Calculate the highest common divisor of 64 and 512. 64 What is the highest common factor of 1903 and 99? 11 Calculate the greatest common divisor of 30 and 3090. 30 Calculate the highest common factor of 9617 and 177. 59 Calculate the greatest common divisor of 12606 and 44. 22 Calculate the highest common factor of 103 and 6901. 103 Calculate the highest common factor of 275 and 400. 25 What is the greatest common factor of 999 and 27? 27 What is the highest common factor of 220 and 27610? 110 What is the greatest common divisor of 5476 and 148? 148 Calculate the greatest common divisor of 10714 and 11. 11 Calculate the highest common factor of 140 and 6370. 70 What is the highest common divisor of 104 and 16? 8 Calculate the highest common factor of 232 and 40. 8 Calculate the highest common factor of 299 and 115. 23 Calculate the greatest common factor of 334 and 7181. 167 What is the highest common factor of 124 and 1426? 62 Calculate the greatest common factor of 244 and 1403. 61 What is the highest common divisor of 16 and 664? 8 Calculate the highest common divisor of 184 and 23. 23 Calculate the highest common divisor of 25 and 175. 25 Calculate the greatest common factor of 176 and 7172. 44 What is the greatest common factor of 98 and 637? 49 What is the highest common factor of 141 and 893? 47 Calculate the highest common factor of 144 and 656. 16 What is the highest common factor of 145 and 5? 5 Calculate the greatest common factor of 30 and 1630. 10 Calculate the greatest common factor of 121 and 11. 11 What is the greatest common divisor of 214 and 749? 107 Calculate the greatest common factor of 370 and 10. 10 What is the greatest common divisor of 20 and 4? 4 Calculate the highest common factor of 176 and 55. 11 Calculate the greatest common divisor of 13 and 299. 13 Calculate the greatest common divisor of 635 and 3048. 127 What is the highest common factor of 264 and 858? 66 Calculate the greatest common factor of 10760 and 40. 40 What is the highest common divisor of 72 and 4056? 24 Calculate the highest common factor of 36 and 108. 36 Calculate the highest common divisor of 207 and 18. 9 What is the greatest common divisor of 108 and 24? 12 Calculate the greatest common factor of 889 and 7. 7 What is the greatest common factor of 55 and 35? 5 Calculate the highest common factor of 87 and 8758. 29 Calculate the greatest common factor of 102 and 986. 34 Calculate the highest common divisor of 420 and 270. 30 What is the greatest common factor of 182 and 56? 14 Calculate the greatest common factor of 533 and 41. 41 What is the greatest common factor of 276 and 192? 12 What is the greatest common factor of 34 and 3? 1 What is the greatest common divisor of 60 and 12? 12 What is the highest common factor of 72 and 7824? 24 What is the greatest common divisor of 1431 and 53? 53 Calculate the highest common factor of 1900 and 100. 100
{ "pile_set_name": "DM Mathematics" }
pose -8*z + 309 = 197. Does 6 divide z? False Let u be -1 + (96 - (0 + -3)). Suppose -6*y - u = -242. Does 12 divide y? True Let o(x) be the first derivative of 4 + 1/4*x**4 - 13*x - 13/2*x**2 + 10/3*x**3. Is o(-11) a multiple of 3? True Let r be ((-36)/(-42))/((-3)/(-14)). Suppose -3*k + r = -59. Suppose 4*i - 99 = -4*l + i, -l + 3*i = -k. Does 6 divide l? True Let r(y) = -y - 2. Let u be r(-6). Suppose -3*a - u*g = -6, -2*g - 3 = -4*a + 5. Is 1490/25 + a/5 a multiple of 19? False Let j(s) = s**3 + 5*s**2 + 12. Let l be j(-9). Let k be l/20 + 3/5. Does 8 divide 106/6 - 5/k? False Let h(j) = j + 23. Let x = -41 - -36. Is h(x) a multiple of 3? True Let r = 152 + -147. Suppose 0*j - 5*t = -r*j + 745, 3*j - 487 = -5*t. Does 22 divide j? True Let g = 788 - 759. Is 7 a factor of g? False Let i(f) = -f**3 - 3*f**2 + 5*f + 7. Suppose s + 3*y - 15 = 0, -5*s - 2*y - y = -27. Suppose 0*d + 4*r - 1 = -s*d, -d + r = 9. Is 11 a factor of i(d)? False Suppose 7 + 56 = a. Does 21 divide a? True Let k = -32 + 33. Let o = k + 9. Is 2 a factor of o? True Let w(j) = 5*j + 3. Let t be w(-3). Let b(x) = -8*x + 5 - 14 - 4. Is b(t) a multiple of 25? False Suppose 18*x - 79 = 11. Let o = 7 + 0. Suppose 3*g + x*a + 124 = o*g, -a + 4 = 0. Does 12 divide g? True Let q be (-7)/((-14)/(-4)) + 5. Let l(m) = 1 + 1 - 3 + m**q + 3*m. Is 5 a factor of l(2)? False Let w(z) = 67*z**2 + 6*z - 4. Is 13 a factor of w(6)? True Let x = 85 + -78. Let s(b) = -b**3 + 9*b**2 - 4*b - 8. Is 17 a factor of s(x)? False Let x(v) = v**2 - 11*v - 12. Let a be x(11). Let i be (15/(-6))/((-2)/a). Is ((-190)/i)/((-3)/(-18)) a multiple of 14? False Is (-979)/(-5) + 44/220 a multiple of 28? True Let k = -602 + 922. Is 10 a factor of k? True Suppose -12061 = -3*p - z, -2*p - 2*z - 4218 = -12260. Is 14 a factor of p? False Let y be (-11)/(-66) + (-1211)/(-6). Suppose -4*o = -h - y, h - 2*h + 257 = 5*o. Does 15 divide o? False Suppose 6*y - 15*y = -3186. Is 23 a factor of y? False Let a(y) = 11*y**2 + 6*y + 13*y**3 - 2 - 19*y**3 + 7*y**3. Is a(-9) a multiple of 23? False Let w = 38 - -106. Is 9 a factor of w? True Let s = -8 - 4. Let f = 28 + s. Suppose 4 = 2*k + 2*w - 40, -f = -4*w. Is 4 a factor of k? False Suppose -11 = -6*x + 7. Is ((-21)/(-3))/(x/6) a multiple of 10? False Let f(j) = -j**2 - 7*j + 2. Let k be f(-7). Suppose k*p + 1495 = 4*q - p, 0 = 2*q + 2*p - 730. Does 51 divide q? False Let h = 303 + 156. Is h a multiple of 16? False Let k(a) = -2*a + 14. Let u be k(6). Suppose 2*d - 105 = 3*z - d, -u*d = -3*z - 101. Let j = 2 - z. Is j a multiple of 10? False Let c(g) = g + 22. Let h(f) = f**3 + 3*f**2 - 2*f - 2. Let n be h(-4). Does 3 divide c(n)? True Let z = -111 + 159. Is 48 a factor of z? True Let q = 266 + -138. Suppose -5*t - 8 = -9*t. Suppose -q = -t*u - 4*f, -2*u - f + 167 = u. Is u a multiple of 10? False Let v be (4/7)/((-12)/(-42)). Suppose v*c - 6*c = 4*b + 8, -4*b + 17 = -c. Let i = 7 + b. Is i a multiple of 5? True Suppose -3*u - 548 = -t, -32*u + 16 = -28*u. Is 4 a factor of t? True Suppose -8*x + 15*x - 1967 = 0. Is 4 a factor of x? False Is (-22 - -13)/(2/176*-6) a multiple of 12? True Let p = 4 + 2. Suppose -184 = p*i - 1282. Suppose g = 4*o - i, 2*g - 84 = -2*o - 0*o. Does 15 divide o? True Let s(v) = -2*v - 4. Let a be s(0). Let c be 0 - 2*4/a. Suppose c*q + 49 = 143. Is 8 a factor of q? False Let r(y) = -2*y**3 - 5*y**2 - y - 2. Let u be 3/(-7) - (-322)/(-49) - -3. Is 50 a factor of r(u)? True Suppose -10961 = -15*w + 3544. Does 12 divide w? False Suppose 1315 = r + 4*r. Suppose -3*w + 4*c + r = 5*c, -3*w + 3*c = -267. Is 11 a factor of w? True Let s = -40 + 10. Let v = s + 91. Is 12 a factor of v? False Let f be ((-10)/(-30))/((-2)/(-30)). Suppose 5*m + 6 = -i + 30, -2*m + 5*i - 12 = 0. Suppose -g - 41 = -4*w, -w - g = -m - f. Does 5 divide w? True Let d = -64 - 3. Let o = d + 130. Does 21 divide o? True Suppose -n = 3*w - 2026, -4*w = -15*n + 19*n - 8096. Is n a multiple of 5? False Let a = 49 - 31. Let g be 1202/18 - (-4)/a. Let d = g + -6. Is 12 a factor of d? False Let h(d) = 12*d - 2. Let s(g) = g + 12. Let f be s(-14). Let x be f - -6 - (-2 - -2). Does 15 divide h(x)? False Let l = 8 - 2. Does 13 divide 2/l - 4/(36/(-1401))? True Suppose -12 = y - 17. Let g(i) = -3*i**2 + 18*i - 27. Let u(t) = 2*t**2 - 9*t + 13. Let d(s) = y*u(s) + 3*g(s). Is 27 a factor of d(-14)? True Let n(h) = 9*h**2 - 22*h + 4. Let q(b) = -5*b**2 - b**2 - 2 + 11*b + b**2. Let z(c) = -4*n(c) - 7*q(c). Is 14 a factor of z(5)? True Suppose -3*g + 2*h = -h - 2388, 2*g - 5*h = 1604. Is 22 a factor of g? True Suppose -5*t = 5, 0 = 4*p - p + t + 115. Let b(u) = -5*u. Let n be b(3). Is (p + 2)*10/n a multiple of 6? True Suppose 3 = j - 1. Suppose -j*s + 361 = -175. Does 21 divide s? False Let q be 2/(-9) - 2/(-9). Let m be 2 - (0 + (q - 0)). Suppose -m*t = t - 84. Is t a multiple of 14? True Suppose 4*k - 5*w = 2042, 2*w - 1030 = -7*k + 5*k. Is 27 a factor of k? True Suppose 2*o = 3*r - 550, 143*o - 146*o = 3*r - 555. Does 13 divide r? False Let l = 8 + -17. Let d be 18/8 + 2/(-8). Is 18 a factor of (-627)/l + d/6? False Suppose -169 = -6*y + 515. Is y a multiple of 57? True Let z(c) = 31*c + 9. Let f(k) = 93*k + 25. Let w(l) = 4*f(l) - 11*z(l). Is 10 a factor of w(1)? False Suppose -8*g + 20445 - 5533 = 0. Is 16 a factor of g? False Let c(z) = -3*z + 17*z + 88*z + 5. Let h be c(2). Suppose h = 5*a - p, -2*a - 128 = -5*a - 2*p. Does 7 divide a? True Let k be (-15)/10 - 1/(-2). Let x be (k/(-2))/(6/72). Is (x/24)/(2/328) a multiple of 17? False Suppose 0 = 3*c - 8*y + 5*y - 936, -5*y + 300 = c. Is c a multiple of 5? True Let k(g) = -g**3 - 7*g**2 + 10*g + 9. Let p be k(-9). Let s = -58 + p. Suppose -5*h = -s - 27. Does 7 divide h? False Let o be 562 + -2 + 0 - 5. Suppose 15*f - 12*f = o. Does 31 divide f? False Let f(p) = -p**2 + 9*p - 9. Let q be f(9). Let g = -2 - q. Suppose -s + 4 = -g. Is 3 a factor of s? False Let v(g) = 31*g**2 - 2*g + 6. Is 15 a factor of v(-4)? True Let q = -58 - -185. Suppose -5*o - q = -y, 3*y - o - 61 - 250 = 0. Does 34 divide y? True Suppose 8708 = 48*m - 700. Is 9 a factor of m? False Let x(a) = 80*a**2 - 2*a + 6. Let z be x(-3). Suppose -9*u + 3*u + z = 0. Is u a multiple of 26? False Let x be ((-4)/(-6))/(4/366). Suppose 0 = 12*z - 87 + 279. Let y = x + z. Is y a multiple of 16? False Suppose 4869*k = 4867*k + 1410. Does 16 divide k? False Let u(p) be the second derivative of -p**3/2 - 2*p**2 + p. Let n be u(-15). Suppose -3*l - 11 = -n. Does 7 divide l? False Is -118*(1 - (0 - -4)) a multiple of 6? True Suppose -4*a + 17 = -x, 5*a + 2*x + 3 - 8 = 0. Suppose -i = -2*i. Suppose -3*s - 5*t = -8*s + 235, -2*s + a*t + 99 = i. Is s a multiple of 21? True Let r = -8 - -10. Suppose 4*n + 22 = c + 2, -r*c - 4*n = -28. Does 8 divide c? True Let f(p) = 4 + 5*p**3 - 10 - 4*p**3 + 9*p - 8*p**2. Let u be (-8)/(-6) - 238/(-42). Is 2 a factor of f(u)? True Let p = 33 - 9. Suppose 10 = 5*x, 0*b - x + p = 2*b. Let m = 7 + b. Is m a multiple of 4? False Suppose 3*g = n - 495, -3*g + 1175 = 3*n - 262. Is 21 a factor of n? True Suppose 2*j + 4*l = -0*j + 14, 0 = 4*j - 4*l - 16. Let s be (237 + j)*1/2. Let d = s - 32. Is 12 a factor of d? False Let v(t) = t**2 + 8*t + 13. Let i be v(-5). Let r be (1/i)/(2/(-72)). Let w = 61 - r. Is 11 a factor of w? False Suppose -12 = 3*l - 3*r - 36, 5*l - r = 24. Does 12 divide l/1*40/5? False Let l = -5 + 5. Suppose -u + 6*u - 25 = l. Suppose -u*f - a + 14 = 0, 4*f = 3*a + 4 - 8. Does 2 divide f? True Suppose 73*i - 20812 = 62*i. Is 21 a factor of i? False Suppose -30*p = -24*p - 16464. Is p a multiple of 56? True Let l = -315 + 357. Is 9 a factor of l? False Does 13 divide 2/(-12) - (-1)/6*5461? True Let j(u) = 13*u + u**2 - 3*u + 2*u - 32. Is j(-16) a multiple of 6? False Let o = -37 - -37. Suppose 0 = -o*t + t - 4*x - 119, 2*x = -2. Is t a multiple of 20? False Let c(d) = -36*d + 44. Let t(f) = -f - 1. Let r(m) = c(m) + 3*t(m). Does 38 divide r(-4)? False Let x = 289 + 357. Is x a multiple of 19? True Let n = -1280 + 1854. Is 19 a factor of n? False Let u = -22 - -62. Let g = 118 - u. Does 14 divide g? False Let m = -705 - -952. Does 13 divide m? True Let i(s) = -s**3 + 4*s**2 + 3*s + 7. Let b be i(5). Let d be b/(-9)*(6 - -9). Let j(m) = 3*m - 9.
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common factor of 89564448 and 336. 48 Calculate the highest common factor of 30315 and 195849. 141 Calculate the greatest common factor of 21238210 and 889. 889 Calculate the highest common divisor of 1920 and 86157120. 960 What is the greatest common divisor of 19812 and 4221516? 156 Calculate the greatest common factor of 126 and 156002224. 14 What is the greatest common factor of 273309 and 4421874? 699 Calculate the highest common factor of 45 and 80723985. 15 What is the highest common factor of 52493771 and 341? 11 What is the highest common factor of 18800 and 15531200? 400 Calculate the greatest common divisor of 1035775015 and 25190. 12595 Calculate the highest common factor of 5252 and 133276. 52 Calculate the greatest common divisor of 2986155 and 720. 45 Calculate the highest common factor of 3258382 and 7018. 58 Calculate the greatest common factor of 61740 and 10860. 60 Calculate the highest common factor of 330437 and 1386752. 5417 Calculate the greatest common divisor of 88437 and 93603. 123 What is the greatest common divisor of 214179 and 441? 147 What is the greatest common divisor of 154328 and 11918? 202 Calculate the highest common factor of 1035747 and 437. 19 What is the greatest common divisor of 557613 and 651? 21 What is the greatest common factor of 1593 and 10625841? 531 What is the highest common divisor of 20 and 39632380? 20 What is the greatest common factor of 23817 and 60548418? 1401 Calculate the highest common divisor of 526 and 228554627. 263 What is the greatest common factor of 1238195 and 175525? 595 What is the highest common factor of 42 and 51467241? 21 Calculate the greatest common divisor of 90 and 9322758. 18 What is the greatest common divisor of 18161 and 2067676? 13 What is the greatest common factor of 1540812750 and 150? 150 What is the greatest common factor of 289650 and 800? 50 What is the greatest common factor of 13824 and 974808? 216 Calculate the greatest common factor of 64692 and 12624. 12 Calculate the highest common factor of 256 and 112541056. 128 What is the highest common divisor of 2645 and 77203525? 115 What is the highest common factor of 225316 and 1820? 364 Calculate the highest common factor of 1105914 and 722. 38 What is the greatest common divisor of 3433507 and 5486327? 3311 What is the greatest common factor of 41 and 153561154? 41 What is the greatest common factor of 10815 and 11248321? 721 What is the greatest common factor of 238411 and 4933799? 569 What is the highest common divisor of 112432311 and 63? 9 Calculate the highest common divisor of 359 and 30512. 1 Calculate the greatest common factor of 26 and 4661215. 13 Calculate the greatest common factor of 242609620 and 20. 20 Calculate the greatest common divisor of 17760 and 3098565. 555 Calculate the highest common factor of 30707744 and 96. 32 What is the highest common divisor of 2400691 and 823? 823 Calculate the greatest common factor of 140 and 35432110. 70 What is the highest common factor of 11122 and 209326? 166 What is the highest common divisor of 26742552 and 72? 24 What is the greatest common divisor of 670 and 677262? 2 What is the greatest common factor of 1219708 and 11836930? 4802 Calculate the greatest common factor of 884 and 10837684. 52 Calculate the greatest common factor of 3516 and 30252. 12 Calculate the highest common factor of 69 and 1262560137. 69 Calculate the greatest common divisor of 867 and 110123739. 867 What is the greatest common factor of 17 and 5272108? 17 Calculate the highest common divisor of 110231 and 107498. 911 What is the highest common factor of 2988846 and 26? 2 Calculate the greatest common factor of 18810912 and 20064. 1824 Calculate the highest common factor of 2920 and 807863260. 1460 What is the highest common factor of 102847704 and 72? 24 What is the highest common divisor of 8562402 and 216? 54 Calculate the greatest common divisor of 143757622 and 10932. 1822 What is the greatest common divisor of 1260735 and 2625? 105 Calculate the highest common factor of 28749353 and 58. 29 What is the highest common divisor of 65324460 and 10480? 2620 Calculate the highest common divisor of 150830122 and 10116. 562 Calculate the highest common divisor of 71148 and 7018. 242 Calculate the highest common divisor of 2016 and 31818. 6 What is the highest common factor of 422 and 306583? 211 Calculate the greatest common divisor of 16526331 and 27. 9 Calculate the highest common factor of 923303 and 9802544. 8629 Calculate the highest common factor of 236878 and 7956. 34 What is the greatest common divisor of 65380 and 3528652? 1868 Calculate the highest common divisor of 180091816 and 1592. 1592 Calculate the highest common divisor of 4176684 and 72. 36 What is the greatest common factor of 847970 and 3078? 38 Calculate the greatest common divisor of 95653 and 10909108. 2333 What is the greatest common factor of 412 and 71950959? 103 Calculate the greatest common divisor of 46197 and 34113918. 5133 Calculate the greatest common divisor of 22544562 and 402. 402 What is the greatest common factor of 255707 and 4699? 37 Calculate the highest common factor of 397782 and 347886. 1386 Calculate the greatest common divisor of 1506821390 and 1220. 610 Calculate the greatest common divisor of 398831794 and 258. 86 What is the highest common divisor of 628401 and 20677? 899 Calculate the greatest common factor of 9966894 and 49. 49 Calculate the highest common factor of 743766 and 2257626. 6582 What is the highest common factor of 22781 and 121429? 209 What is the highest common factor of 230 and 930005? 115 Calculate the highest common factor of 359945073 and 27. 27 What is the highest common divisor of 54332 and 1272008? 3196 What is the greatest common factor of 61768 and 7364? 28 What is the highest common factor of 186 and 15728160? 186 Calculate the highest common factor of 448544 and 352. 32 What is the highest common factor of 63953508 and 24? 12 Calculate the greatest common factor of 237682175 and 75. 25 What is the highest common factor of 4421759 and 6731? 127 What is the greatest common divisor of 1080528 and 48? 48 What is the greatest common factor of 103611171 and 2726? 1363 What is the greatest common factor of 755067869 and 34? 17 Calculate the greatest common divisor of 31842 and 762120. 522 What is the highest common divisor of 205 and 2309403925? 205 What is the highest common factor of 950690 and 3811? 103 Calculate the highest common factor of 1254 and 1498134. 66 What is the greatest common factor of 1221 and 586377? 33 What is the greatest common factor of 6 and 1502934? 6 Calculate the highest common divisor of 4599370 and 10. 10 What is the highest common divisor of 25920 and 3508920? 3240 Calculate the highest common divisor of 1462858 and 3557282. 5398 Calculate the greatest common divisor of 27690 and 130026. 78 What is the highest common divisor of 42775 and 416875? 725 What is the greatest common factor of 233327501 and 55? 11 What is the greatest common factor of 5166 and 20917638? 126 What is the greatest common factor of 152 and 16863272? 8 Calculate the greatest common factor of 68834374 and 28. 14 What is the greatest common divisor of 35866783 and 31142? 677 What is the greatest common factor of 47627 and 108020? 491 Calculate the highest common factor of 2756 and 182338. 26 Calculate the greatest common factor of 6985703 and 943. 41 What is the greatest common factor of 22 and 265606? 22 Calculate the greatest common factor of 55680975 and 25. 25 Calculate the greatest common factor of 289609 and 1240016. 4079 What is the greatest common divisor of 63729 and 62371? 97 Calculate the greatest common factor of 310838 and 194821. 2189 Calculate the greatest common factor of 235611 and 5918682. 1671 Calculate the highest common factor of 176690 and 6070. 10 What is the greatest common factor of 618403728 and 16? 16 Calculate the highest common factor of 36 and 20799063. 9 What is the greatest common factor of 3182 and 670588? 74 What is the greatest common factor of 258636 and 11436? 12 Calculate the greatest common factor of 711264 and 837. 93 What is the highest common divisor of 1232 and 2471056? 112 What is the gre
{ "pile_set_name": "DM Mathematics" }
90). Let m be d/(-2)*(-8)/3. Suppose 3*z + 2 = 26. Solve 3*t = v - 3 + 12, -m*v + z = -t for t. 4 Suppose -5*f = -s - 28, 3*f = -0*s + 3*s + 12. Let i = -218 - -220. Solve -d = 3, i*y + f*d + 17 = d for y. -1 Let m(i) = 7*i + 135. Let x be m(-19). Solve -5*a + x*d = 29, -11 = 3*a + 4*d - 4 for a. -5 Let i(m) = -20*m**2 + 239*m + 14. Let r be i(12). Solve 0 = 2*h + 2*h - 4*x, 3*h - r*x = -5 for h. -5 Suppose 8*h - 2*h = 0. Suppose -2*d + 10 = 0, 5*d + 4 - 23 = x. Suppose 4*a - 6*r - x = -4*r, 0 = 5*a - 2*r - 9. Solve -c = -2*t - 3 - 1, -a*c = h for t. -2 Let m = -842 + 846. Solve 19 + 0 = m*p + d, -5*p + d + 17 = 0 for p. 4 Let g = 119 - 110. Suppose -6 = -g*d + 7*d. Solve 0 = p + q + d - 0, 4*p - 18 = 2*q for p. 2 Suppose 0*k - 16 = -3*k + 4*i, -3*i + 6 = 0. Suppose -5*b - g = -96, 0 = b + 2*g - 20 + k. Solve 0*c = -5*o + 3*c, 5*o = -c - b for o. -3 Let y be 10/2*2/5. Suppose 4*v - 12 = 5*z, z + 0*v = -y*v + 6. Suppose -7*b = j - 4*b, -3*j + b + 10 = 0. Solve z = h + 4*x - j, 0 = 4*x for h. 3 Let n be -5*1/((-15)/21). Let m(a) = a + 3. Let r be m(n). Let b = 10 - r. Solve -2*h - 3*f + 2 = 0, b*f + 4*f = 8 for h. -2 Let k = 1260 - 1242. Suppose -5*g = -5*o - 5, -4*g + 25 = -2*o + 5*o. Suppose o*s = 16 + 5. Solve -3*x = -3*y + k, 0 = 2*x + s*y - 4*y - 8 for x. -2 Suppose m + 5*t - 4 = 4*t, -2*m - 4*t = -10. Suppose -m*c = -2*d + 18, -7*c - 25 = -3*d - 3*c. Solve -3*w + 6*w = -n + 1, 0 = 3*w - d for n. -2 Let u be (7 - 0)*(-9)/((-126)/8). Let j = -4 - -4. Let d = 4 + j. Solve -4*k = u*y - 9*k + 17, -5 = 3*y + d*k for y. -3 Let r = -6 - -24. Suppose 0 = z + 5*b - r, 3*z - 2*b = b. Let p be 7/(28/(-12)) + 4. Solve 0 = -z*q - 2*l - 1 - p, 0 = -q + 2*l - 6 for q. -2 Let n = 17 + -11. Suppose 4*o = n*o - 52. Solve 0 = 3*z - 5*j - 7, 5*z = -5*j + o - 1 for z. 4 Suppose 0 = -6*z + 4*z + 56. Let m = -18 + z. Solve -n - 5*b = 12, -m = -2*n + 5*b - 4 for n. -2 Let z = -1 - -4. Suppose -268*o = -206 - 330. Solve q - 3 = -5*l, 2*q + 5 = -o*l + z*l for q. -2 Let u = -1269 + 1272. Solve -c + 0*c + 12 = -u*v, -c = -4*v - 16 for v. -4 Let j = -9 + 20. Let q = j + -9. Suppose -m = -q*m + 3. Solve 10 = d + m*d + 5*n, 2*d = -2*n + 6 for d. 5 Suppose 8 = -3*m + 5*m. Suppose -2*u - 2 = -2*d, -3 = m*u + 3*d - 34. Solve u*p + 8 = -0*q + q, 2*p = q - 2 for q. -4 Let k be (-32)/(-12) - (-1)/3. Suppose 5*a + a = 12. Suppose 8 = -2*v, a*v = -0*r - 3*r + 19. Solve -4*o = 5*m - 10, -r = -0*o - k*o - 3*m for o. 5 Let j(w) = w**2 + w - 8. Let d be j(-8). Suppose 0*g = -3*g + d. Suppose 3*o = -o + g. Solve l - 3 = -2*l, -22 = -o*i - 2*l for i. 5 Suppose 3*x = -2*m + 15, 0 = 5*m - x + 6*x - 25. Suppose 2*t = -m*t + 8. Solve o = t*j + 2*o - 21, -3*j + 2*o + 2 = 0 for j. 4 Suppose 19*d - 288 = 3*d. Solve 4*j + d = -2*g, -5*g = -5*j - 7 + 22 for j. -2 Let i(r) be the second derivative of -r**3/2 - 7*r**2 - 5*r. Let d be i(-5). Solve 0 + d = 2*j + f, 0 = 3*j - 5*f - 21 for j. 2 Suppose 2*z - 13 = -3*h, z + 2*h = h + 6. Let s = 2 - 0. Solve 0 = -f - z*b - 20, s*f + b + 13 = -0*b for f. -5 Suppose -5*z + 4*a = -22, 33*z = 29*z - 5*a - 7. Solve 0 = 4*i - 20, -x + z*i - 8 + 0 = 0 for x. 2 Let z = 43 - 21. Let h(f) = 5*f - 8. Let y be h(6). Let c = z - y. Solve -4*u = 3*o + 7, -3*u + 2*u - 1 = c for o. -1 Let f(s) = -s**3 + 8*s**2 - 14*s + 15. Let w be f(6). Solve v - 5*v - w*z = 29, -4*v + z - 17 = 0 for v. -5 Suppose -9*f + 11 = -34. Let r be 2/(-6) + 30/9. Solve p + 2*p = i - 12, r*p + 12 = -f*i for p. -4 Let z = -8 - -13. Suppose 9*c - 2*c = 112. Let k(w) = w**2 - w + 4. Let p be k(0). Solve -c = -p*m - 2*j, -z*m - 8 = -5*j + 2 for m. 2 Let c = 1883 - 1870. Solve -z + 4*d - 9 = c, -4*z - 2*d = -2 for z. -2 Let r be ((-2)/4)/((-4)/24). Let y = 529 - 525. Solve 3*i + 3 = -r*h, 2*i + 1 + y = h for i. -2 Suppose -588*x = -608*x + 100. Solve -m - g = 1, 5*m + x = -2*g + 7*g for m. -1 Let o be 36/4 - 0 - 6. Solve -4*b - 10 = -2*i, i - o*b - 25 = 3*i for i. -5 Let h(j) = -11*j**2 + 73*j + 31. Let o be h(7). Solve 0 = -2*n + 3*w + 20, -3*w - 24 = -o*n - 0*w for n. 4 Suppose 6*p + 12 = 10*p. Solve -4*k + 5*o - 5 = -p*k, k = -5*o + 5 for k. 0 Suppose -19*j - 15*j = -102. Solve 4*y = 5*k + 24, -5*k + 4 = -j*y + 27 for y. 1 Let p = -18 + 17. Let s = p - -16. Solve -5*u + 5*k + s + 5 = 0, u - 4 = -5*k for u. 4 Let c(s) = -s**2 + 5*s + 29. Let h be c(8). Solve -4*z + 2*l = -2*z + 2, -h*z + 3*l = 5 for z. -1 Let w be (9*(-2)/(-8))/((-1)/4). Let u = 30 + w. Solve -2*i + 4*o = -20, -i = -4*o + 3 - u for i. 2 Let d be (-1)/6*-4 - (-152)/(-3). Let h = d - -50. Solve h*j = 2*j - 5*x - 29, 0 = j + 2*x + 8 for j. 2 Let t(m) = m**3 - 47*m**2 + 134*m - 85. Let s be t(44). Solve l = 5*z + 1, 4*z + s*l - 3 = -z for z. 0 Let f(h) = -28*h - 1. Suppose -3*n = -4*s + 2, 3*s - n + 2 = 1. Let a be f(s). Let r be (-1 + 5)*a/36. Solve g + r*m + 6 = 0, -m - 12 = -g + 2*m for g. 3 Suppose -3*y + 19*g = 14*g - 22, 5*y - 50 = -5*g. Solve -t + 4*u = u - y, -2*t = 5*u + 4 for t. 3 Suppose 2*l = -3*s - 2 + 4, -31 = -4*s + 3*l. Suppose -o = 3 + 2. Let n = 5 + o. Solve s*p + 4 = -c, 2*p + n - 8 = -3*c for p. -2 Let w(j) = -4*j - 16. Let z be w(-4). Suppose p - 13 - 14 = z. Solve 3*o - p = u - 5*u, u + 5*o - 28 = 0 for u. 3 Suppose -264 = -10*x - 42*x - 4. Let p(w) = -w**3 + 4*w**2 + 3. Let s be p(4). Solve x*q = -g - s, 4*q - 4*g + 18 = 6 for q. -1 Let m(z) = 3*z + 2. Let f(t) = -16*t - 10. Let c(b) = -2*f(b) - 11*m(b). Let s be c(-5). Solve -14 = -s*d + 4*n, -5*d - 25 = 2*n + n for d. -2 Let y be (-7 - (-1 + 0)) + 8/8. Let d(r) = r**2 + 3*r - 5. Let h be d(y). Solve 3 = -3*g + 3*i, 2*i + h = g - 2*i for g. -3 Let s = -962 - -966. Solve 5*m = 3*m + s*q + 6, 0 = m - 5*q - 15 for m. -5 Suppose -15*v + 7*v = -24. Solve 4*u = -16, -3*u - 29 = v*a + 2*u for a. -3 Let l = -616 + 618. Solve 0 = 5*m - z + 10, l*m + 2*m + 4*z + 32 = 0 for m. -3 Suppose -5*w + 2*w = 12. Let r be 2*-1 - w/2. Suppose -3*g + 3*z = 6, -g + 4*z = 79 - 62. Solve r = -g*b + 2*a + 8 - 3, b - 3 = 2*a for b. 1 Suppose -m - 4 = -3*o - 2*m, 4*o - 18 = 5*m. Solve 2*i = -o*f, -2*f + 2*i = 2*f - 12 for f. 2 Let o = -251 + 255. Solve 0 = -b - j + 2, o*j = 3*b + 5*j for b. -1 Let l(p) = -5*p - 22. Let o be l(-7). Let d = -13 + o. Suppose d = -3*m + 31 + 5. Solve -3*k - 8 = -5*a, k = 4*k - m for a. 4 Let u be 36/2 + (12 - 15). Let g be u/9 - 2 - (-10)/3. Solve 3*w = -4*y - 10, -y = 2*w - g*w - 1 for y. -1 Let t = -267 - -282. Solve -4*j = -3*s - t, 4*s = -5*j - 0*j + 11 for s. -1 Let q(c) = c**2 - 8*c + 12. Let m be q(7). Suppose -44 - 6 = -m*b. Solve 2*o - 3*z + b = 0, 3*o - z + 5 = -3 for o. -2 Let w(o) = 2*o**3 + 8*o**2 + 5*o + 25. Let k be w(-4). Solve 0 = 5*n + 4*z + 17, -21 = n - k*z - 6 for n. -5 Let z = -13 + 36. Suppose -4*a - z = -y, 3*y - 7 = -a - 3. Solve g - 15 = -y*f - 0*g, 0 = -5*g for f. 5 Let b(v) = -32*v + 24. Let x be b(-3). Let l = 146 - x. Solve -y + 4 = -0*y - 3*w, 4*y + 2*w = -l for y. -5 Let m be 1/2 - ((-756)/8)/(-9). Let u be (-3)/(0 - (-15)/m). Solve 5*k - 3*z = -8*z - 25, 5*k - 3 = u*z for k. -1 Let f be 1/(-1) - 1 - -3. Let i be (30/24)/(f/12). Let g = 8 + i. Solve 2*a + g = -3*h, -7*a - 15 = -2*a - h for a. -4 Suppose -d - 48 = -13*d. Suppose 2*k + 6 = -d*t, 13 = -5*t - 2. Solve 0 = -3*z + 4*x + 18 + 5, 17 = k*z - x for z. 5 Suppose 2*w + 110 = 12*w. Let u = w + -8. Solve 3*i - 4*q = -3*q + u, -4*i + q = -4 for i. 1 Let a be 22/(-77) - (-79)/7. Suppose -20 = a*s - 16*s. Suppose -2*u = -s*h + 48, 3*u = -4*h + 13 + 15. Solve -m + l + h = 3*m, -5*l - 2 = 4*m for m. 2 Let j(z) = -z**2 + 6*z + 11. Suppose 2*l - 3*u - 16 - 1 = 0, -3*l - 4*u + 17 = 0. Let o be j(l). Solve 16 = o*g + 7*n - 2*n, 0 = 3*n for g. 4 Suppose 2*f = 2*g + 2, 4*f + 3*g - 22 = 10. Solve -5*v + 4 = -2*y, 4 = f*y - 3*y - v for y. 3 Let v(z) = -2*z**2 + 2*z + 60. Let f be v(0). Suppose -10 = f*x - 65*x. Solve 2*a = -2*a - g - 11, a - 6 = -x*g for a. -4 Suppose 7*c = 9*c - 6. Let t be (-8)/(c + 69/(-21)). Solve -4*z = -4*n + t, -3*n = 3*z + z + 14 for z. -5 Let x be (1 - 1)*2/(-6). Let k(p) = p**2 - 8*p + 9. Let l be k(6). Let u be (-42)/(-10) + l/15. Solve 4*r + h - 10 = x, r + 0*h + u*h - 10 = 0 for r. 2 Suppose g = 6*g + 25, 3*g = d - 15. Suppose 2*z - 2*h = d, -5*z + 30 = -0*h + 5*h. Solve 0 = -2*t - z*m - 17, 3*m = t - 2*m - 11 for t. -4 Suppose 5*h = 20, u - 4*u = -3*
{ "pile_set_name": "DM Mathematics" }
-2/15 a Which is the nearest to -1/15? (a) 0.4 (b) 0.2 (c) 0.5 (d) -2 b Which is the closest to -0.1? (a) 1/2 (b) 0.09 (c) 7 b What is the closest to 1 in 0, 1.9, 0.4? 0.4 What is the closest to 0 in 1111, -4, 0.1, 3? 0.1 Which is the nearest to -1/4? (a) -2.78 (b) 4 (c) -3 a Which is the closest to 0? (a) -3/4 (b) -2/9 (c) 0.4 (d) 3 b Which is the closest to 8? (a) -1 (b) 2/11 (c) -0.3 (d) 0.4 d What is the closest to 1 in -1/5, -14, -0.4? -1/5 What is the nearest to 0 in -0.15, 4/5, 4, -5? -0.15 What is the closest to -0.1 in -5, -4.4, -0.3, 0.4? -0.3 What is the nearest to 0.099 in -1/4, 3, 2/21, 0.1? 0.1 Which is the closest to 3? (a) 0.6 (b) 1 (c) -2/3 (d) -4 b Which is the closest to 2/5? (a) 1 (b) 4 (c) -0.3 (d) 2 a Which is the nearest to 1? (a) -5 (b) -38 (c) -1 (d) -0.4 d Which is the nearest to 2/9? (a) -1 (b) -2/449 (c) -3 b Which is the nearest to 1? (a) 0.25 (b) -0.3 (c) -1/11 (d) -1/4 a Which is the closest to 2? (a) 0.4 (b) -2/5 (c) 0 a Which is the nearest to 1? (a) -6/7 (b) 0.4 (c) -1 (d) -2/5 b What is the nearest to -1/4 in 0.4, 22, 1/7, -0.2? -0.2 What is the closest to 2/7 in -2/19, -2/7, 5/2, 0.5? 0.5 What is the closest to -15 in -5, -2, 3/14? -5 Which is the nearest to -1.6? (a) 0 (b) 2/9 (c) 8 a What is the closest to 0.2 in -1.1, -1/5, 3/4? -1/5 What is the closest to 2/17 in 2, 3, 1/5, 0? 1/5 Which is the closest to 285? (a) 17 (b) -0.2 (c) -4 a Which is the closest to 0? (a) 0.034 (b) -0.5 (c) 4 (d) -2/3 a Which is the closest to 0? (a) 6 (b) -3/23 (c) -7 b Which is the nearest to -1.6? (a) -0.3 (b) -0.4 (c) -2/7 b Which is the nearest to -0.1? (a) 1 (b) -2.7 (c) 0.4 (d) -5 c What is the closest to -5 in 1/3, -2, 2/11, -1? -2 What is the closest to 11 in 1, -2, -7/4, -4? 1 What is the nearest to 0.1 in -3/4, 1, -1, -0.2? -0.2 Which is the nearest to 0? (a) 134 (b) -4/3 (c) 0.2 c Which is the closest to 2/5? (a) -0.1 (b) -11/34 (c) -2/13 a Which is the nearest to -0.2? (a) -0.12 (b) 5 (c) 2/13 (d) 0.4 a What is the nearest to 0.123 in -2/11, 0.5, 2? -2/11 What is the closest to 4 in 0.4, -0.3, 0.3, -3/2? 0.4 Which is the closest to 2/9? (a) -3/4 (b) -2 (c) -0.1 (d) 1/2 d What is the closest to 0.1 in -38, -0.1, 0, 2/15? 2/15 Which is the closest to -4.4? (a) -1/2 (b) -4 (c) -0.2 (d) 1/3 b What is the nearest to 3 in 4, -2, -1? 4 What is the nearest to 65 in -0.4, -2/7, -10? -2/7 Which is the nearest to 1/4? (a) -4 (b) 1 (c) 2/5 (d) 0 c Which is the closest to -8? (a) -5 (b) -2/3 (c) -0.3 (d) 0.3 a What is the closest to 3 in -0.3, 8, -0.05? -0.05 What is the closest to 1.8 in -2/5, 6, 1? 1 What is the closest to 1/4 in -3, -2/1551, -1, 5? -2/1551 What is the nearest to -0.1 in -0.3, 5, -2, 3? -0.3 Which is the nearest to -4? (a) 14 (b) 2 (c) 3 b What is the closest to 0 in -0.5, -0.01, -0.1? -0.01 What is the nearest to 1 in 0, 137, -14? 0 Which is the closest to 1/2? (a) -2/7 (b) -5 (c) 2 (d) -0.3 a Which is the nearest to 4? (a) -0.1 (b) -3/4 (c) 3 (d) 2 c What is the nearest to -1 in 2, 2.5, -2, -2/13? -2/13 What is the nearest to -2/25 in 1, -0.11, 2, 2/3? -0.11 What is the closest to 0 in 0.5, -14, -0.17? -0.17 What is the closest to 0 in -282, -0.3, -1/3? -0.3 What is the nearest to -1 in 1, 0.1, -3/94? -3/94 What is the closest to -2/9 in 0.4, -0.3, -2/19, -2? -0.3 Which is the closest to 2? (a) 0.4 (b) 5 (c) 0 (d) -4/7 a What is the closest to 1 in -83, 0, -2, 5? 0 Which is the closest to 0.2? (a) 3/8 (b) -1678 (c) -3 a What is the closest to 12 in -0.2, 0.2, -4? 0.2 Which is the closest to -4? (a) 5 (b) -8/9 (c) 4 (d) -0.2 b What is the nearest to -1 in -0.16, 1/5, 3/8? -0.16 What is the closest to -0.05 in 5, 1, -0.08? -0.08 Which is the closest to -9? (a) 0 (b) -9 (c) -2/7 b What is the nearest to 0.1 in -0.02, -3/7, -82, -3? -0.02 Which is the nearest to -1/43? (a) -3/2 (b) -2 (c) -0.3 c Which is the nearest to -21? (a) -5 (b) 11/2 (c) -7 (d) 0.1 c Which is the closest to -0.08? (a) -0.4 (b) -3/19 (c) 0.4 (d) 5/6 b What is the closest to -0.4 in 0.2, 2/3, -41? 0.2 Which is the nearest to -0.2? (a) -8 (b) -2 (c) 3/8 (d) -0.06 d Which is the closest to 0.1? (a) -4 (b) -0.3 (c) 0.3 (d) 3 c Which is the closest to -0.1? (a) -0.5 (b) -4 (c) 0.34 a Which is the nearest to 3? (a) -2/7 (b) 3 (c) 1/19 b Which is the closest to -1/5? (a) 32 (b) 4 (c) 5 b Which is the nearest to -0.1? (a) -2.5 (b) -4 (c) 1 (d) -3 c Which is the closest to -0.4? (a) -2 (b) 9 (c) 1/3 c Which is the nearest to 0.2? (a) -5 (b) 0.1 (c) 0 (d) 1.5 b What is the closest to -0.1 in 0, -213, -1/3? 0 Which is the nearest to 2/3? (a) -3 (b) 0.3 (c) -439 b Which is the nearest to -1? (a) -1 (b) -26 (c) 3/4 a What is the nearest to 4 in 106/5, 4, -1/9? 4 Which is the nearest to -13? (a) 2/15 (b) 2/211 (c) 0.3 b What is the nearest to -0.1 in 3, -15, -1/3? -1/3 Which is the nearest to -1? (a) 0 (b) 0.13 (c) -0.3 c Which is the closest to -30? (a) -31 (b) 0.2 (c) 2 a Which is the nearest to 1? (a) -0.4 (b) -13 (c) -2/13 c What is the nearest to -1 in 2.4, 5, -5/4, 0.3? -5/4 What is the nearest to 1 in -8, 7/5, -2, -4? 7/5 Which is the closest to -2/3? (a) -2/3 (b) 16 (c) 5 (d) -4 a Which is the closest to 2? (a) -1/3 (b) 0.2 (c) -1/2 b What is the closest to 12 in -1/3, -2, 5, -1/5? 5 Which is the closest to 1? (a) 2 (b) 0.4 (c) 1.9 b What is the closest to -3 in -3/5, 48, 1.3? -3/5 Which is the nearest to -1633? (a) -1/4 (b) 5 (c) 0 a What is the nearest to -1 in -13, -5, -0.05, -0.01? -0.05 Which is the nearest to -27? (a) -1.3 (b) -5 (c) -2 b Which is the closest to 1? (a) -1/102 (b) 0.1 (c) 1/2 c Which is the nearest to 0.1? (a) -0.5 (b) 3/5 (c) 2/23 (d) 1/4 c Which is the nearest to -1/3? (a) 0 (b) 1 (c) 0.2 (d) -2/5 d What is the nearest to -0.1 in -1/6, 2.1, 1, 2/7? -1/6 Which is the closest to -0.3? (a) 0 (b) 3 (c) -1/4 (d) -1 c Which is the nearest to -19? (a) 2/9 (b) -0.9 (c) 3/2 (d) -2/21 b Which is the closest to -5? (a) 0.2 (b) 2/13 (c) -4 (d) -4/3 c Which is the nearest to 0? (a) 22/5 (b) 2/13 (c) -0.4 (d) 1/2 b Which is the nearest to -1/9? (a) 1/3 (b) -0.1 (c) 5 (d) -0.6 b What is the nearest to 1 in 1/11, 65, 0? 1/11 Which is the nearest to -1? (a) 1/17 (b) -0.2 (c) 0.3 b Which is the nearest to -1? (a) -2 (b) -7 (c) 2/7 (d) 1/7 a Which is the nearest to -4? (a) 4/5 (b) -2/3 (c) -37 b What is the nearest to -14 in 1/3, -1, -4, -2/3? -4 What is the closest to 23 in -0.4, 0.2, 1, -3? 1 Which is the nearest to 0.4? (a) 0.2 (b) -4 (c) 2/19 (d) 5 a What is the closest to -18 in 6, 1, 2? 1 What is the closest to -2/3 in 1/3, 2/11, -56, 2/3? 2/11 Which is the nearest to -3/32? (a) -0.3 (b) -1/2 (c) 4 (d) -0.2 d What is the closest to 0.7 in 3, -0.1, 1, 1/3? 1 Which is the closest to -2/5? (a) -1 (b) 0.62 (c) 4 (d) -9 a Which is the nearest to 2? (a) 5 (b) 0.878 (c) 4 b Which is the nearest to -0.1? (a) -9 (b) 0.6 (c) -4 (d) -1/5 d Which is the closest to -1/3? (a) -0.1 (b) -3/19 (c) 4/3 (d) 0 b Which is the closest to 23? (a) -5 (b) -54 (c) -1 c What is the nearest to 1/8 in 7/9, 0.2, 16? 0.2 Which is the nearest to -0.3? (a) -63 (b) -0.8 (c) 0.3 b Which is the closest to 0.1? (a) 1/4 (b) -35 (c) -0.3 a What is the nearest to -15 in 5, 1/3, -1/2? -1/2 What is the closest to 1/4 in 0.3, 3, -46? 0.3 What is the closest to 0.1 in -9, 0.3, -2/3, 0.1? 0.1 What is the nearest to 2 in 10, -2, -3, 2? 2 Which is the nearest to 1? (a) 2 (b) 42.6 (c) -4 a Which is the nearest to -1? (a) 3 (b) 0.3 (c) -30 b Which is the nearest to 1? (a) -24 (b) 0 (c) 5 b What is the closest to 1/5 in 1/4, -1/2, -2, -5? 1/4 Which is the nearest to -0.34? (a) -0.2 (b) -1 (c) 0.08 a What is the closest to 0 in -3, 0, 9, -2? 0 Which is the nearest to 3? (a) 0 (b) 0.5 (c) -4.7 (d) 2 d What is the closest to -0.1 in 2/21, 2/3, 24? 2/21 Which is the nearest to -1? (a) -23 (b) 0 (c) 1 (d) -5 b Which is the closest to 19? (a) -2/9 (b) 0 (c) 0.01 c What is the nearest to 1 in -18, 1, -1/4, -7/2? 1 What is the closest to 1 in -0.1, -1, -2, 0.3? 0.3 What is the nearest to 1 in -1, -2, -0.05, -
{ "pile_set_name": "DM Mathematics" }
). What is x rounded to the nearest ten thousand? 50000 Let s = 49935.0323 + -49932. What is s rounded to 1 decimal place? 3 Let x be 8776998*1/(1 - 0) - (1447 - 1449). Round x to the nearest one hundred thousand. 8800000 Let p = -7747904403678498.3999261 + 7747904849718225. Let b = p - 446039052.6. Let v = b - 674. Round v to 6 decimal places. 0.000074 Let c = 5504.66 - 5411. What is c rounded to the nearest integer? 94 Let v = -40261.9432 + 48.5432. Let h = -40213.33500165 - v. Let p = h + -0.065. What is p rounded to six dps? -0.000002 Let r = -0.05318 - 6.98482. Round r to the nearest integer. -7 Let t = 6894280 + -4123885. Suppose 12*k = 17*k + t. Let y = -304079 - k. Round y to the nearest ten thousand. 250000 Let b = -10015724318 - -10015307474.9843. Let k = 416816 + b. Let u = 27 + k. What is u rounded to three decimal places? -0.016 Suppose 0 = -11*o + 29 + 37. Let w be o/(-30) - 35999998/10. What is w rounded to the nearest 1000000? -4000000 Let i = 7589598034.6118 - -1510145.3882. Let r = i + -7591108173.209999433. Let v = -6.79 + r. What is v rounded to 7 decimal places? 0.0000006 Let v = 12132.83 + -12053. Let q = -80 + v. Let a = 0.1666 + q. Round a to 3 dps. -0.003 Let t = -315.7596 + -0.2804. What is t rounded to the nearest integer? -316 Suppose 0 = 5*t + 5*k - 15080595, -1645791 = 2*t - 3*k - 7678014. Suppose -6*q - t = 86826. Let a = q + 1057157. Round a to the nearest one hundred thousand. 500000 Let a = -0.2456 + 0.282. What is a rounded to one decimal place? 0 Suppose -p - t = -1124126, 248*p + 6*t + 5620564 = 253*p. What is p rounded to the nearest 100000? 1100000 Let y = -21.724 - -67.116. What is y rounded to the nearest ten? 50 Let u = -4111532 - -4111533.852791. Let b = 1.854 - u. What is b rounded to 5 dps? 0.00121 Let m = 34 - 33.974. Let k = m + 54.974. Let l = k - 54.9999927. Round l to 6 decimal places. 0.000007 Let n = -786.94 + 803. Let w = n + -11.29. Let b = w + -0.37. Round b to the nearest integer. 4 Let q be 4 - -2*(-1)/1. Let a be q/6 + 3766/6. Let o = -448 + a. What is o rounded to the nearest 10? 180 Let k = -12498.23436 + 12498. What is k rounded to two decimal places? -0.23 Let w = 26681 + 11341. Let x be (87/6)/(3/w). Suppose -b - 81227 - x = 0. Round b to the nearest 10000. -270000 Suppose -5*g - 11*g - 331546 + 56826 = 0. What is g rounded to the nearest 10000? -20000 Let b = 6211999.80905 + -6212443. Let w = -0.00905 + b. Round w to the nearest 10. -440 Let b = 3.433 + -0.563. Let z = -145.87 + b. Let u = 142.07 + z. What is u rounded to the nearest integer? -1 Let l be -40 - (-1)/(4 - 5/1). Let t be ((-51650)/1)/(1 + l/40). What is t rounded to the nearest one hundred thousand? 2100000 Let s = 2.44 - 17.04. Let v = s - -14.60512. Round v to four dps. 0.0051 Let r(n) = 2640*n. Let i be r(5). Let m be i/(((-21)/(-1610))/(-1)). What is m rounded to the nearest 100000? -1000000 Let s(t) = -5*t**3 - 6*t**2 - t + 66. Let m be (792/126)/((-6)/(-21)). Let w be s(m). What is w rounded to the nearest 1000? -56000 Let q = 0.486306609 - 0.4863. Round q to seven dps. 0.0000066 Let u = -22151.21 + 22020. Round u to the nearest 10. -130 Let u be (71/213)/((2 + 0)/(-6)). Let m be 72/36 + (-1452 - u). What is m rounded to the nearest one hundred? -1400 Let b(s) = -14*s - 19. Let u(o) = 3*o + 4. Let a(n) = 2*b(n) + 11*u(n). Suppose -192 = -7*r - 52. Let d be a(r). Round d to the nearest 10. 110 Suppose -b - 2*f - 175607 = -542192, -2*f - 1466360 = -4*b. Let t = -206511 - b. What is t rounded to the nearest 100000? -600000 Let c = 90 - 167. Let n = -77.14 - c. Let s = n + 0.14176. What is s rounded to 4 dps? 0.0018 Let j = -2807.2605 + 2903.85. Let l = j - -0.0105. What is l rounded to the nearest integer? 97 Let a = -3673.361161 - -3673.4. What is a rounded to 3 dps? 0.039 Let p(o) = 2*o**3 - 51*o**2 + 109*o - 180. Let y be p(-39). Round y to the nearest one hundred thousand. -200000 Let t = 1123.596915 + -1123.6. Round t to four decimal places. -0.0031 Suppose 66*a - 527175 = -69*a. What is a rounded to the nearest 1000? 4000 Let y = -17.5222 - -15.132. Round y to 1 dp. -2.4 Let t = -134.2431942 + 172.14318776. Let v = t - 37.9. What is v rounded to six dps? -0.000006 Let w = -0.33 - -0.445. Let f = -208.585 + 215.6. Let j = f - w. What is j rounded to the nearest ten? 10 Suppose -3*s = -16863898 - 6836090. Let z be 0/(30/6) - 6/(-1). Let o be z/15 - s/(-10). Round o to the nearest one hundred thousand. 800000 Let b = 239605 + -239503.347. Let a = 102 - b. Round a to the nearest integer. 0 Let u = -127.45034 + 127.29. Round u to two dps. -0.16 Let j = -672.391 - -198.20952. Let s = 0.08148 + j. What is s rounded to the nearest 10? -470 Let k(c) = 15 - 16 + 10 - 2*c. Let f be k(3). Suppose -f*d + 8 - 2 = 0, -11100010 = 3*a - 5*d. Round a to the nearest 1000000. -4000000 Let y = -27219045.260347429 - -1048160.260343279. Let z = y + 26170867.3. Let j = z + 17.7. Round j to 6 decimal places. -0.000004 Let i = -0.55124 + -0.14676. What is i rounded to 0 decimal places? -1 Let m be ((-3)/(1 + 5))/((-3)/16440). Let t be m/1 + 0/(-5 - 0). Suppose -z - z + t = 0. Round z to the nearest 100. 1400 Suppose 0*b = 2*b + 3627772. Let q be (-1)/((-5)/(22069433 - 3)). Let n = q + b. What is n rounded to the nearest 1000000? 3000000 Let l = -2432.3378 + 2403.28. Let i = 28.38 - -0.62. Let h = i + l. Round h to 2 dps. -0.06 Let p = 67.437 + -135.863. Let i = -0.074 + p. Round i to the nearest ten. -70 Let h = -0.041 - -229.041. Let s = 236.35 - h. Round s to 0 dps. 7 Let t = 2457.94076 - 2458. What is t rounded to 3 decimal places? -0.059 Let h = 0.08586 + -367.98586. Round h to the nearest ten. -370 Let g = 51 + -60.2. Let r = -58.98 + g. Let k = 68 + r. Round k to the nearest integer. 0 Let b = 27626.000057588 - 27626. What is b rounded to five decimal places? 0.00006 Let h = 56.5 - 56.499992253. Round h to six decimal places. 0.000008 Let v = 2.4 - -3.6. Let p = v - -24. Let z = -29.996 + p. What is z rounded to two decimal places? 0 Let j = -22.922 - -22.76041. Round j to three decimal places. -0.162 Let r = 6228.957655 - 6229. What is r rounded to 3 dps? -0.042 Let d = -143.004 + 139.52. What is d rounded to 0 dps? -3 Let m = -0.35 + 0.23. Let v = m - -0.1200026. What is v rounded to 7 decimal places? 0.0000026 Let f be (-10)/(-4)*(-21)/(420/(-32)). Suppose 291784 = 4*o + 4*v + 2291764, -f*v + 20 = 0. Round o to the nearest one hundred thousand. -500000 Let y = 2768.42544 - 2768. Let a = -0.431 + y. What is a rounded to 4 dps? -0.0056 Suppose 83597589 + 145321911 = 45*l. Round l to the nearest 100000. 5100000 Let v = -147.16 - -165.662. Round v to the nearest integer. 19 Suppose 3*z = z + 12. Let g(i) = -14845*i**3 - 3*i**2 + 5*i - 12. Let b be g(-4). Suppose 0 = 5*f - z*f + b. What is f rounded to the nearest 100000? 1000000 Let h = 300 - 169. Let n = -203 + h. Let x = -72.00000067 - n. What is x rounded to seven decimal places? -0.0000007 Let g = -43.0693 + 42.73. Round g to two dps. -0.34 Let f = 73 + -235. Let y = f - -161.9819. What is y rounded to 3 decimal places? -0.018 Let g = 7674393869 + -7674393849.000000335. Let s = g + -20. Round s to 7 dps. -0.0000003 Let v(q) = -2*q**2 + q + 134. Let f be v(0). Suppose f*k = 137*k - 189000. What is k rounded to the nearest 10000? 60000 Let f = 14.716 - -2.694. Let p = 0.41 - f. Let s = p + 17.00000082. What is s rounded to seven dps? 0.0000008 Let p(j) = -7*j**3 - 4*j - 7. Let g be p(-5). Let c = 978 + g. Suppose -2*h + c = -70334. Round h to the nearest 1000. 36000 Let a be 11552128/(-280) + (-4)/10. Let f be (-7 - a - 1)*4. Round f to the nearest 10000. 170000 Let h = 9828 + -9990.95. What is h rounded to the nearest ten? -160 Let h = -120563877971163368 + 120563876540641038.09999763. Let j = h + 1430522338. Let c = 8.1 - j. Round c to seven dps. 0.0000024 Let j = 0.035215475 + -0.03522. Round j to six decimal places. -0.000005 Suppose 318 = 4*g - 3*k, 0*g + 3*k - 87 = -g. Suppose 5*j + g = 6. Let b be (4/6)/(2/j). Round b to the nearest integer. -5 Let o = 35 + -32. Suppose -104 = -f + o*s, -3*s = -3*f + 419 - 83. Let k be f/30 - (-46)/345. What is k rounded to the nearest 10? 0 Let n = -0.63500437 - -0.639399. Let t = 0.0044 - n. What is t rounded to 7 decimal places?
{ "pile_set_name": "DM Mathematics" }
w**2 - 9*w. Suppose r(k) = 0. What is k? -3, 1 Let w(y) be the third derivative of -25*y**6/42 + 10*y**5/7 - 10*y**4/7 + 16*y**3/21 + 4*y**2. Find t, given that w(t) = 0. 2/5 Let i(q) be the second derivative of -1/21*q**7 + 1/5*q**5 + 7*q + 0 + 1/9*q**4 - 1/3*q**3 - 1/3*q**2 - 1/45*q**6. Find t such that i(t) = 0. -1, -1/3, 1 Let p(h) be the first derivative of -h**5/120 + h**4/12 - h**3/3 - 2*h**2 + 4. Let k(m) be the second derivative of p(m). Factor k(j). -(j - 2)**2/2 Factor -3/5*i**3 + 1/5*i**5 + 0 - 1/5*i**4 + 2/5*i + 1/5*i**2. i*(i - 2)*(i - 1)*(i + 1)**2/5 Factor 1 + 4*t**2 + 3 - 2*t**3 - 16 + 10*t + 0*t. -2*(t - 3)*(t - 1)*(t + 2) Suppose 2*t + 2 = 4*y - 2, 5*y = -3*t + 16. Factor -1/2*w**4 + 0 - 1/4*w**3 + 1/4*w + 1/2*w**y. -w*(w - 1)*(w + 1)*(2*w + 1)/4 Suppose -s - 2*p - 13 = -6*s, 2*p - 8 = -2*s. Let t(h) = h - 1. Let l be t(1). Suppose l*y + s - 3*y**2 + 0 - 3*y + 3 = 0. Calculate y. -2, 1 Find d such that d**4 + d**3 - 2*d**2 + 1 - 1/2*d**5 - 1/2*d = 0. -1, 1, 2 Let a(s) be the second derivative of s**5/110 - 7*s**4/66 + s**3/3 - 5*s**2/11 - 35*s. Factor a(y). 2*(y - 5)*(y - 1)**2/11 Let p = -13 + 93/7. Factor 4/7*h**4 + 2/7*h**3 + 0*h**2 + p*h**5 + 0*h + 0. 2*h**3*(h + 1)**2/7 Let r(t) = -4*t**3 - 10*t**2 + 2*t + 10. Let u(p) = 4*p**3 + 11*p**2 - p - 11. Let b(x) = -3*r(x) - 2*u(x). Factor b(z). 4*(z - 1)*(z + 1)*(z + 2) Let b be (-16)/(-64)*1*0/(-1). Factor 0 + b*m**2 + 0*m - m**4 - 1/2*m**5 - 1/2*m**3. -m**3*(m + 1)**2/2 Let u = -9839/30 + 328. Let f(p) be the second derivative of -1/5*p**2 - u*p**3 + 0 + 1/20*p**4 + p. Solve f(h) = 0. -2/3, 1 Let a(q) be the third derivative of q**7/30 + q**6/60 + 4*q**2. Find r, given that a(r) = 0. -2/7, 0 Let p(j) be the first derivative of -14*j**3/9 - 5*j**2/3 + 4*j/3 - 6. Solve p(g) = 0. -1, 2/7 Suppose 0*f + 3*z = -f - 10, -2*f + 5*z + 35 = 0. Suppose -9 - 11 = -f*p. Find a such that a**5 - 3*a**p + 3*a + 1 + a**2 + a**2 + 2*a**3 - 6*a = 0. -1, 1 Suppose 2*l = -m - 10, m + 2*m - 10 = 2*l. Suppose k - 6*k = -10. Factor 2/5*y + 2/5*y**k - 2/5*y**3 + m - 2/5*y**4. -2*y*(y - 1)*(y + 1)**2/5 Let t(k) = -4*k**2 - 5*k + 5. Let z(i) = 9*i**2 + 10*i - 9. Let g(n) = 5*t(n) + 3*z(n). Solve g(c) = 0. -1, 2/7 Find b, given that -3/5 - 3/5*b**2 - 6/5*b = 0. -1 Suppose 8 = d - 7. Suppose -4*v - q + 17 = v, 3*v = q + d. Find a, given that 0 - 1/4*a**v + 1/4*a**3 - 1/4*a + 1/4*a**2 = 0. -1, 0, 1 Let n(b) be the second derivative of -b**4 - 4*b**3/3 - 9*b**2 - 4*b. Let d(a) = -3*a**2 + 4*a**2 - 3 - 2 + 6. Let o(m) = -10*d(m) - n(m). Factor o(i). 2*(i + 2)**2 Let j(d) be the third derivative of -1/150*d**5 + 2*d**2 + 0 + 0*d + 1/60*d**4 + 0*d**3. Solve j(a) = 0 for a. 0, 1 Let t = 10 - 5. Suppose 2*k + 9 = t*k. Factor -2/3*i**k + 1/3 + 2/3*i + 0*i**2 - 1/3*i**4. -(i - 1)*(i + 1)**3/3 Let z(v) be the third derivative of -v**8/40320 + v**7/15120 + v**4/12 - 2*v**2. Let h(o) be the second derivative of z(o). Let h(q) = 0. Calculate q. 0, 1 Let f(n) be the second derivative of -3*n**5/140 - n**4/21 + n**3/42 + n**2/7 - 8*n. Factor f(u). -(u + 1)**2*(3*u - 2)/7 Let f(r) be the first derivative of -r**3 - 15*r**2/2 - 12*r - 2. Factor f(m). -3*(m + 1)*(m + 4) Let z(v) be the first derivative of v**7/105 + v**6/20 + v**5/15 - 2*v**2 + 1. Let a(l) be the second derivative of z(l). Factor a(t). 2*t**2*(t + 1)*(t + 2) Let b(g) = g + 6. Let q be b(-4). Let p(i) be the first derivative of -1/12*i**3 + 3/16*i**4 + 0*i**q + 0*i + 1/24*i**6 - 3/20*i**5 - 1. Factor p(h). h**2*(h - 1)**3/4 Let o(g) be the first derivative of 2*g**3/9 - 7. What is y in o(y) = 0? 0 Let k(r) = 4*r**2 + r. Let h(x) = -x**2. Let o(f) = 5*h(f) + k(f). Let b be o(1). Find v such that 1/3*v + b*v**2 + 0 - 1/3*v**3 = 0. -1, 0, 1 Let j(w) = w**2 - 10*w - 6. Let v be j(11). Let a(q) be the second derivative of 3/70*q**v + 4/7*q**2 + 4/7*q**3 + 11/42*q**4 - 2*q + 0. Solve a(i) = 0 for i. -2, -1, -2/3 Let k(l) be the first derivative of 1/5*l**5 - 6 + 1/2*l**4 + 1/3*l**3 + 0*l**2 + 0*l. Find o such that k(o) = 0. -1, 0 Suppose 4*v + 0*v - 16 = 2*s, 5*v - 26 = 4*s. Find g such that 18/13*g**5 + 0*g - 8/13*g**v + 0 - 42/13*g**4 + 32/13*g**3 = 0. 0, 2/3, 1 Let l be (84/(-15))/2*1. Let g = 33/10 + l. Solve -1/4*v**3 - 1/4*v + g*v**2 + 0 = 0. 0, 1 Let -4/5*z - 16/5*z**2 + 0 - 4*z**3 - 8/5*z**4 = 0. Calculate z. -1, -1/2, 0 Suppose 14*j + 0*j = 0. Factor j + 1/3*u**2 - 2/3*u. u*(u - 2)/3 Let l(k) be the third derivative of 2*k**7/35 + k**6/6 - 28*k**5/15 + 2*k**4/3 + 32*k**3/3 + k**2. What is o in l(o) = 0? -4, -2/3, 1, 2 Suppose -2*n = -n. Suppose n = -d + 2. Determine w, given that -2*w**2 - w**2 + w + d*w**2 = 0. 0, 1 Let x(t) be the first derivative of -t**3/15 + t**2/10 + 2*t/5 - 10. Let x(y) = 0. Calculate y. -1, 2 Let d(z) be the first derivative of 3/5*z**5 - 1 - 1/2*z**4 + z**2 + 0*z - z**3. Factor d(k). k*(k - 1)*(k + 1)*(3*k - 2) Let c(r) be the first derivative of 2*r**3/45 + r**2/15 - 4*r/15 + 20. Factor c(f). 2*(f - 1)*(f + 2)/15 Let t(v) = v**3 - 9*v**2 + 20*v - 8. Let b be t(6). Factor 3/4*w**b + 0*w**2 - 3/4*w**3 + 0 + 0*w. 3*w**3*(w - 1)/4 Suppose 2*r = z + 12, 3*r + 5*z - 10 = -5. Let k(c) be the second derivative of -1/60*c**r + 0 - 2*c + 0*c**2 + 1/12*c**4 - 1/9*c**3. Factor k(j). -j*(j - 2)*(j - 1)/3 Factor 4*d - 16 + 16*d**2 - 52*d**3 + 95*d**3 - 47*d**3. -4*(d - 4)*(d - 1)*(d + 1) Let k(t) = 85*t**3 - 173*t**2 + 115*t - 5. Let g(q) = 21*q**3 - 43*q**2 + 29*q - 1. Let h(y) = 22*g(y) - 6*k(y). Suppose h(p) = 0. Calculate p. 1/4, 2/3, 1 Let i = 3 - 1. Let m be 90/(-24) - (-9 - -5). Factor -1/2*r**4 + m*r**5 + 0 + 0*r**i + 1/4*r**3 + 0*r. r**3*(r - 1)**2/4 Let l(m) be the second derivative of -m**6/10 + 3*m**5/20 + m**4/2 - 31*m. Factor l(v). -3*v**2*(v - 2)*(v + 1) Let m be 8/480*65 + 9/(-12). Suppose 0*x**3 + 2/3*x**4 - 2/3*x**2 - 1/3*x + 0 + m*x**5 = 0. Calculate x. -1, 0, 1 Let h(w) = -3*w**4 - 11*w**3 + 9*w**2. Let f(u) = u**4 + 5*u**3 - 4*u**2. Let k(n) = 15*f(n) + 6*h(n). Let k(q) = 0. Calculate q. 0, 1, 2 Determine i so that -9*i**4 - 9*i + 15*i**2 + 29*i**5 + 15*i**3 + 37*i**5 - 6 - 72*i**5 = 0. -2, -1, -1/2, 1 Factor 20/7*u + 18/7*u**2 + 8/7 + 1/7*u**4 + u**3. (u + 1)*(u + 2)**3/7 Let w(h) be the first derivative of h**8/3360 + h**7/560 + h**6/360 - h**3/3 + 3. Let j(c) be the third derivative of w(c). Factor j(z). z**2*(z + 1)*(z + 2)/2 Let q(m) be the second derivative of m**4/12 - m**3 + 9*m**2/2 - 15*m. Let q(h) = 0. What is h? 3 Suppose f - 11 = -5*h, -8 = -2*h + 2*f - 6*f. Factor 5 - 1 + 4 + 3*y**2 + 9*y - h. 3*(y + 1)*(y + 2) Find c, given that -4/3*c**2 - 4*c**3 + 8/3*c + 0 = 0. -1, 0, 2/3 Let c be 0 + 5/(-3)*-3. What is u in u**3 + 0*u**2 - u - 1 + 0 - 4*u**2 + c*u**2 = 0? -1, 1 Factor 0 + 1/2*o**2 + 3/2*o. o*(o + 3)/2 Let d be (-7)/(-3) - (-9)/(-27). Find s such that 9*s**d - 11*s**2 + 4*s**4 + 2*s**2 + 4*s**5 = 0. -1, 0 Let j(y) be the first derivative of -8*y**5/5 + 5*y**4 - 16*y**3/3 + 2*y**2 + 5. Factor j(i). -4*i*(i - 1)**2*(2*i - 1) Let y(z) be the second derivative of z**7/14 - 3*z**6/5 + 9*z**5/5 - 2*z**4 + z. Factor y(v). 3*v**2*(v - 2)**3 Let j be (3 + (-7)/2)*-42. Let z be 16/56 + 8/j. Factor -z*g**3 - 4/3*g**2 + 0 - 2/3*g. -2*g*(g + 1)**2/3 Let y(r) = r**5 + 6*r**4 - r**3 - 3*r**2 + 3*r + 6. Let k(p) = 2*p**5 + 6*p**4 - 2*p**3 - 2*p**2 + 4*p + 8. Let a(o) = 3*k(o) - 4*y(o). Factor a(c). 2*c**2*(c - 3)*(c - 1)*(c + 1) Suppose -3*k + i + 7 = 0, 2*k + 3*i = -2*i - 18. Let u be 2/((-4)/(-6))*k. Factor -4*n**3 - n**3 + 3*n - 3*n**3 + 5*n**u - 3*n**2 + 3. -3*(n - 1)*(n + 1)**2 Let p(i) be the first derivative of 3*i**5/80 + i**4/4 + 5*i**3/8 + 3*i**2/4 - 7*i - 2. Let q(h) be the first derivative of p(h). Factor q(s). 3*(s + 1)**2*(s + 2)/4 Let k(p) be the first derivative of p**5/3 + 5*p**4/6 - 5*p**2/3 - 5*p/3 - 20. Let k(t) = 0. Calculate t. -1, 1 Suppose 0*a**3 + a**3 - 3*a**3 - a + 3*a = 0. What is a? -1, 0, 1 Let h(i) = i**2 - i. Let v be h(2). Let j**5 + 6*j - 2*j**5 - 4*j**2 + 6*j**4 + 0 - v - 4*j**3 - j**5 = 0. What is j? -1, 1 Let -30*d + 38 - 68 + 105 + 3*d**2 = 0. What is d? 5 Let t be 1 + (-2 - -2 - -16). Let d(n) = -11*n**2 + 11*n. Let z(p) = -2*p**2 - 2*p**2 - 9*p**2 + 9*p**2 + 4*p. Let q(s) = t*z(s) - 6*d(s). Factor q(c). -2*c*(c - 1) Let m(q) be the first derivative of -q**5/30 - q**4/6 +
{ "pile_set_name": "DM Mathematics" }
Let u(k) = -k**3 - 2*k**2 - 5*k + 1. Determine -g(o) + 5*u(o). -2*o**3 - 217*o - 2 Let h(o) = -5832*o - 157. Let m(l) = 2916*l + 94. What is 3*h(b) + 5*m(b)? -2916*b - 1 Let x(o) = 96*o**3 - 16*o**2 - 25*o + 16. Let i(a) = 48*a**3 - 9*a**2 - 15*a + 8. Determine 5*i(m) - 3*x(m). -48*m**3 + 3*m**2 - 8 Let z(x) = 317*x + 5. Let t(d) = -3*d. What is -3*t(h) - z(h)? -308*h - 5 Let z(o) = -279*o - 81. Let u(t) = 11*t + 1. Let i(a) = -3*a. Let c(n) = 5*i(n) + 2*u(n). Determine -162*c(v) - 4*z(v). -18*v Let g(b) = -4. Let r(n) be the second derivative of n**3/6 - 3*n + 409. Determine -g(o) - 5*r(o). -5*o + 4 Let u(c) = -236*c - 2. Let h(t) = -159*t - 1. Give -7*h(y) + 5*u(y). -67*y - 3 Let w(a) = a**3 - a + 1. Let d(p) = 4*p**3 - 6*p + 5. Suppose 7*i - 6*i + 258 = 3*m, 343 = 4*m - i. Let s be 75/m + 10/85. What is s*d(j) - 5*w(j)? -j**3 - j Let k(r) = 2*r**2 + 16*r - 207. Let d(x) = 10*x**2 + 69*x - 924. Let b(l) = -2*d(l) + 9*k(l). Suppose -2*z = -7*z + 30. Let p(s) = -s + 1. Give z*p(u) + b(u). -2*u**2 - 9 Let x(k) = -182*k - 28. Let q = -6032 + 6004. Let f(j) = -33*j - 5. Calculate q*f(a) + 5*x(a). 14*a Let v(t) = -t + 2. Let x(m) = -2*m**2 - 11*m + 25. Let a(j) = 10*j - 58. Let y be a(6). Let u be x(y). Let h(b) = -2*b + 2. Determine u*h(l) + 4*v(l). 6*l - 2 Let q(c) = -244036*c**2 + 209*c - 3135. Let r(m) = 4693*m**2 - 4*m + 60. Calculate -4*q(n) - 209*r(n). -4693*n**2 Let t(d) = 9*d**3 + 4*d**2 - 16*d - 157. Let l(h) = -15*h**3 - 7*h**2 + 29*h + 316. Determine 4*l(b) + 7*t(b). 3*b**3 + 4*b + 165 Let k(u) = 6*u. Let w be 53/(8745/352) - 4/30. Let b(c) be the third derivative of 0 + 4*c**w + 7/24*c**4 + 0*c + 0*c**3. Give -3*b(i) + 4*k(i). 3*i Let c(g) = -2*g**2. Let q(m) = -254*m**2 + 2*m - 12. What is -3*c(f) - q(f)? 260*f**2 - 2*f + 12 Let u(r) = -5241*r**3 + 18*r**2 - 6*r - 2. Let l(w) = 5241*w**3 - 15*w**2 + 5*w + 2. What is -6*l(o) - 5*u(o)? -5241*o**3 - 2 Let q(h) = 6*h**2 + 11*h + 14*h**3 - 9*h**3 + 14 + 5*h**2. Let t(j) = -1283*j**3 + 566*j**3 - 2*j - 3 - 2*j**2 + 716*j**3. Calculate 2*q(u) + 11*t(u). -u**3 - 5 Let p(h) = 18 - 7*h + 19 - 41 - 2*h**2. Let y(j) = -6*j**2 - 22*j - 13. Suppose 4 = -v, -4*k - 4*v = 123 - 79. Give k*p(a) + 2*y(a). 2*a**2 + 5*a + 2 Let a(d) = 152*d - 5. Let k(p) = 154*p - 7. Determine 6*a(x) - 5*k(x). 142*x + 5 Let f(i) = 25783*i - 190. Let x(t) = 2149*t - 16. Calculate -8*f(g) + 95*x(g). -2109*g Let j(z) = 1. Let y(p) = p - 1. Let t(v) = -v + 40. Let g be t(0). Let w = g - 38. Let b(s) = s**3 - 4*s**2 - 4*s - 2. Let x be b(5). What is w*y(o) + x*j(o)? 2*o + 1 Suppose -13*t = -14*t - 20*t - 105. Let o(j) = 2*j**3 + 4*j**2 - 5*j + 18. Let y(u) = -u**2 + u - 1. Determine t*y(h) - o(h). -2*h**3 + h**2 - 13 Let i = 290 + -290. Suppose i = -5*z - 23 - 27. Let x(n) = -n - 1. Let c(s) = 2*s + 4. Calculate z*x(m) - 3*c(m). 4*m - 2 Let y(a) = -3*a**3 + 2*a**2 - 6*a + 3. Let m(j) = -7*j**3 + 5*j**2 - 13*j + 6. Give -2*m(q) + 5*y(q). -q**3 - 4*q + 3 Let l(f) = 20*f + 2. Let s(x) = -267*x + 106 + 15 + 737*x + 790*x - 61*x. Determine -242*l(r) + 4*s(r). -44*r Suppose 7*n = 24*n + 510. Let i be 5*(3 - (-102)/n). Let r(m) = 5*m**3 + 2*m**2 - 2*m - 2. Let x(g) = -14*g**3 - 7*g**2 + 7*g + 7. What is i*x(c) - 7*r(c)? -7*c**3 Let x(u) = -155*u - 196*u - 145*u - 140*u + 639*u + u**3 + 3. Let z be 3/(1 - (0 + 2)). Let h(w) = w**3 + 2*w**3 - 8 - 6*w**3 - 9*w. What is z*h(y) - 8*x(y)? y**3 + 3*y Let j = 78 - 138. Let v = -63 - j. Let q(p) = -p**2 + 5*p - 3. Let r = 2 + 12. Let c(b) = -4*b**2 + 24*b - 14. Determine r*q(l) + v*c(l). -2*l**2 - 2*l Let k(v) = 266*v + 308. Let m(q) = 7*q + 8. Let i(g) = 2*k(g) - 77*m(g). Let b(w) be the first derivative of 35*w**2/2 + 4. Calculate 2*b(n) + 11*i(n). -7*n Let g(u) = 9*u**2 - 4*u + 2. Let c(a) = 3*a**2 + 2*a - 1. Determine 5*c(f) + 3*g(f). 42*f**2 - 2*f + 1 Let c(x) = -10*x**3 - 7*x**2 - 7*x - 1225. Let a(o) = 21*o**3 + 15*o**2 + 15*o + 2454. Give -7*a(k) - 15*c(k). 3*k**3 + 1197 Suppose -g - 4*g = -25. Let d(r) = r - 4. Let n(l) = 2*l - 9. Let f = -13494 - -13492. Give f*n(u) + g*d(u). u - 2 Let q(w) = -5712*w + 213. Let u(t) = -22848*t + 817. Calculate -23*q(z) + 6*u(z). -5712*z + 3 Suppose -2*p - 2 = 0, 2*c + 3*p - 5*p + 4 = 0. Let h(v) = -88 - 8*v + 2*v - 85 + 168. Let y(q) = -5*q - 4. What is c*y(b) + 2*h(b)? 3*b + 2 Let a(v) = -3*v + 1. Let r(q) = -7*q**2 + 284*q + 4. Let m(g) = -g**2 + 49*g. Let c(k) = -6*m(k) + r(k). Determine -14*a(p) + 4*c(p). -4*p**2 + 2*p + 2 Let h(r) = 7*r**2 + 6*r - 7. Let p(a) = -6 - 3*a - 5*a**2 + 8*a - 8*a**2 + 19*a**2. Give -4*h(m) + 5*p(m). 2*m**2 + m - 2 Suppose 973 = 7*i - 630. Let f = 231 - i. Let q(w) = -w**2 + w - 1. Let t(h) = 8*h**2 - 7*h + 7. Give f*t(o) + 14*q(o). 2*o**2 Let z(b) = -23*b**3 + 6*b**2. Let t be (-68)/102 - (4 - 106/6). Let x(s) = -45*s**3 + 13*s**2. Determine t*z(l) - 6*x(l). -29*l**3 Let h(c) = -c**2 + 4*c - 9. Let n be ((-4)/14 - (-4336)/(-112)) + -1. Let p = -43 - n. Let z(k) = k**2 - 2*k + 5. Calculate p*h(u) - 5*z(u). -2*u**2 - 2*u + 2 Let n(j) = -417*j. Let c(v) = 2501*v + 2. Determine 2*c(a) + 13*n(a). -419*a + 4 Let p(l) = -722*l**2 - 190*l - 950. Let v(q) = 2*q**2 - q - 5. Determine -2*p(d) + 380*v(d). 2204*d**2 Let k(b) be the first derivative of -5*b**2/2 + 4*b + 13. Let f = 36 + -29. Let j(p) = 9*p + 1 + 2 - 9 - 1. Calculate f*k(w) + 4*j(w). w Let s(a) = 6*a - 3. Let g(r) = -2258*r + 36. What is -5*g(w) - 60*s(w)? 10930*w Let x(l) = 81*l + 52. Let p(b) = -54*b - 36. Give 7*p(i) + 5*x(i). 27*i + 8 Let k(r) = -5*r**2 - r. Let o(l) = -7*l**2 - 9*l. Let c(d) = -95*d**2 - 120*d. Let a(n) = -3*c(n) + 40*o(n). Calculate -4*a(p) - 5*k(p). 5*p**2 + 5*p Let i(l) be the first derivative of -6*l**2 + 314236. Let q(o) be the second derivative of o**3/6 + o. Calculate -i(a) - 8*q(a). 4*a Let t(n) = -n**2 + 3*n - 1. Let o be t(1). Let v(c) = -1. Let r(i) = -6*i - i - 60 - 63 - 43 + 173. What is o*r(h) + 6*v(h)? -7*h + 1 Let v(q) = 18*q + q**2 - 3*q**2 - 9 - 21*q + 7. Let z(i) = -i**2 - 2*i - 1. Give 3*v(y) - 4*z(y). -2*y**2 - y - 2 Let t(m) = -2*m**3 - 165*m**2 + 3*m - 6. Let g(n) = -2*n**3 - 165*n**2 + 3*n - 4. Determine 4*g(a) - 3*t(a). -2*a**3 - 165*a**2 + 3*a + 2 Let v(m) = 2*m**2 - 3*m + 6. Let r(h) = -2592 + 1424 + 2*h**2 - 13*h + 6*h**2 + 1192. Determine 2*r(c) - 9*v(c). -2*c**2 + c - 6 Let l(v) = -7*v**3. Let p(s) be the second derivative of 2*s**5/5 - s**3/6 - 599*s. What is -5*l(y) - 4*p(y)? 3*y**3 + 4*y Let c(a) = -3*a - 2 + 3 - 4. Let s(b) = 5*b**2 - 350*b - 350. Let r be s(-1). Let f(v) = -v**3 + 5*v + 5. Calculate r*c(q) + 3*f(q). -3*q**3 Let b(t) = 219*t**3 + 7*t**2 + 14*t + 153. Let v(p) = -71*p**3 - 2*p**2 - 4*p - 51. Give -2*b(q) - 7*v(q). 59*q**3 + 51 Let l(a) = -3*a + 13. Let t(s) = s - 7. Let h = -362 + 368. Determine h*l(n) + 11*t(n). -7*n + 1 Let r(v) = 19*v - 4. Let m(g) = -89 - 161 - 75*g + 265. Determine -6*m(c) - 22*r(c). 32*c - 2 Let i(p) = -166*p**2 - 5*p - 851. Let l(t) = -72*t**2 - 2*t - 427. What is -2*i(s) + 5*l(s)? -28*s**2 - 433 Let d(z) = 2*z**3 + z**2 + 2*z + 297. Let h(b) = 8*b**3 + 4*b**2 + 9*b + 1189. What is -9*d(u) + 2*h(u)? -2*u**3 - u**2 - 295 Let g(k) = -3. Let w(y) = 4*y + 168. Determine -6*g(l) - w(l). -4*l - 150 Let u = -64058 - -64064. Let j(r) = -r + 1. Let g(v) = -7*v + 5. Let w(y) = g(y) - 6*j(y). Let q(a) = 5*a + 5. Determine u*w(l) + q(l). -l - 1 Let h(l) = -21*l**2 + 10*l - 5. Let k(q) = -5 - 897*q + 4*q**2 - 897*q + 1792*q + 4 + 2. Suppose 3*g + 17 = x, 2*x - 3*g - 28 = -0*x. Determine x*k(w) + 2*h(w). 2*w**2 - 2*w + 1 Let b(j) = -5*j**2 + 9 - 11*j + 3*j + 2*j + 11*j - 5. Let l(f) = f**2 - f - 1. Determine -b(n) - 4*l(n). n**2 - n Let d(x) = -x**2 - x. Let r = 178 + -171. Let k(i) = 7*i**2 + 2*i + 2 - i**3 - 2*i. Let c be k(r). Let h(n) = n**2 + n. What is c*h(u) + 3*d(u)? -u**2 - u Let y(g) = 779 + 15*g + 787 - 1559. Let b(z) = -8*z - 4. Let v = -9 - -6. Calculate v*y(t) - 5*b(t). -5*t - 1 Let r(b) = -478*b + 16738. Let i be r(35). Let w(s) = -15*s + 11. Let m(p) = -40*p + 19. Let u(k) = -10*k + 5. Let f(l) = 2*m(l) - 9*u(l). Give i*f(j) + 5*w(j). 5*j - 1 Let x(l) = -783*l**2 + 3*l - 59. Let i(h) = 783*h**2 - 2*h + 39. What is 3*i(n) + 2*x(n)? 783*n**2 - 1 Let g(f) = -10*f - 198. Let k(b) = -27*b - 593. Give 8*g(u) - 3*k(u). u + 195 Let n(d) = -d**2. Let x(h) be the third der
{ "pile_set_name": "DM Mathematics" }
What is v rounded to 2 dps? 0.31 Let y = -45250.3403 - -45247. What is y rounded to 1 decimal place? -3.3 Let x = -0.74 - -119.74. Let k = 118.9978 - x. What is k rounded to three dps? -0.002 Let y = -85995 - -51565. What is y rounded to the nearest one thousand? -34000 Let z = 5.1073 + 36786.8927. Let r = z + -36794.2359. Let j = 2.22 + r. Round j to 3 dps. -0.016 Let y = 23.1507264 - 55.15073. Let r = y - -32. What is r rounded to five dps? 0 Let w = 126.5 - 126.474698. What is w rounded to three decimal places? 0.025 Suppose -4*h - 88 - 96 = 0. Let u = h + 88. Suppose -110 = -o + i + u, -i - 3 = 0. Round o to the nearest ten. 150 Let h = -206 - -200.66. Let j = 5.339977 + h. What is j rounded to four decimal places? 0 Let k = 34 + -34. Suppose -f - 4*w - 6120008 = k, -4*f - 4*w + 24479992 = -8*f. What is f rounded to the nearest 100000? -6100000 Suppose q + 5*m - m - 40 = 0, -5*m - 202 = -4*q. Suppose 46*u - q*u = 19600. Round u to the nearest 1000. -10000 Let m = -217.9 + 47.9. Let t = m + 169.9997909. Round t to 5 decimal places. -0.00021 Let o(b) = -3*b**2 - 26*b - 11. Let r be o(-9). Let m(w) = -2*w**3 - 23*w**2 + 14*w + 30. Let d be m(r). Round d to the nearest one hundred. 6600 Suppose 9604 = 18*d - 25388. Suppose 191*v = 197*v - d. What is v rounded to the nearest 10? 320 Let c = 1140121013 + -1140118204.995228. Let f = -2808 + c. What is f rounded to 3 decimal places? 0.005 Let k be 25300/(((-135)/(-70500))/9). What is k rounded to the nearest one million? 119000000 Suppose -2500*c + 2489*c - 304150 = 0. Round c to the nearest 10000. -30000 Let a = -4327 + 3978.92. What is a rounded to the nearest ten? -350 Suppose -19*b + 46 = 4*b. Suppose -w - 2*m = -6, -2*m + 10 = w + w. Suppose -3*q + 440 = -q + b*p, -220 = -q - w*p. Round q to the nearest one hundred. 200 Let c be -132 - (1 - 0) - 2. Let n be (-2)/9 + 15*(-20)/c. Let a be (((-244)/5)/1)/(n/50). What is a rounded to the nearest one hundred? -1200 Let x be 3/4 - (-5 + (-1525)/4). Let h be (-1)/((-12)/x)*(2 - -2). Suppose -5*t - 25 = 0, 3*t = -a + t + h. Round a to the nearest 10. 140 Let w = -3301 + 3295.073. Let d = -6.48 - w. What is d rounded to one decimal place? -0.6 Let w = 0.76873 - 0.768667363. What is w rounded to 7 dps? 0.0000626 Let z = -1832 - -1682.8. Let s = -140 - z. Round s to the nearest ten. 10 Let g = -36.3 - -272.3. Let p = g + -250.88. What is p rounded to the nearest integer? -15 Suppose 2*p + 15*n = 10*n - 6, 5*n = 3*p - 41. Suppose p*x + 1120 = -0*x. What is x rounded to the nearest 10? -160 Suppose 4*o - 474028 = -4*p + p, p - 2*o = 158026. Suppose -14856 + p = 12*c. Round c to the nearest 1000. 12000 Let w = -5652 + -337. Let g = w + 3949. What is g rounded to the nearest 100? -2000 Let y be -2*((-431473)/14 + -3*(-12)/18). What is y rounded to the nearest 1000? 62000 Let r(k) = -2946*k**2 + 186*k - 148. Let p be r(-41). Round p to the nearest one million. -5000000 Let l = -3057 + 3057.0056. What is l rounded to one dp? 0 Let d be (-4 + 5)/1 + 0 + 32. Let u = d + -30. Suppose 4*i - 3*q = 148, u*i = 2*q - 7*q + 140. What is i rounded to the nearest 100? 0 Let u(i) = 3*i - 92. Let g be u(32). Let d(l) = 166010*l - 40. Let q be d(g). Round q to the nearest one hundred thousand. 700000 Let j = -0.319 - 1.322. Let p = j + 1.62. What is p rounded to 2 decimal places? -0.02 Let r = -3.3724 - -3.409509. What is r rounded to 4 dps? 0.0371 Let r = -277 + 99. Let k = 17618285.99923 - 17618108. Let c = r + k. What is c rounded to four decimal places? -0.0008 Let n = -15.2 - -1.2. Let d = -11.2 - n. Let j = 2.8044 - d. Round j to three dps. 0.004 Let z(a) = 3083*a**2 + 148 + 9070*a**2 - 18*a - 10*a + 5166*a**2. Let k be z(18). Round k to the nearest one million. 6000000 Let h = 223 - 40. Let n = h - 182.927. Let u = n - 0.0729874. Round u to six decimal places. 0.000013 Let q = 6.5 - -37.5. Let m = -48.43 + q. Round m to the nearest integer. -4 Let w be (3 + -6)/(1 - 2). Suppose 4*c - 14877 = -3*f, 5*f + 1471 - 26266 = 3*c. Suppose w*i - 2404959 + f = 0. What is i rounded to the nearest 1000000? 1000000 Let i = 105.003 + -105. Let m = i + 2.557. What is m rounded to zero dps? 3 Let o = 40572 + -40571.999881211. Round o to six dps. 0.000119 Let o = 39 - 44. Let k be (-1)/(o/(-30)*1*-2). Let i be -25*(-3 - 3)*490/k. What is i rounded to the nearest ten thousand? 20000 Let q = 4022 + -4018.034. Let w = -4 + q. What is w rounded to two dps? -0.03 Let r = 1.193814 + -1.2125. Round r to four decimal places. -0.0187 Let n = 23104.9969212 + -23105. What is n rounded to four decimal places? -0.0031 Let x = 0.177 - -0.7328. What is x rounded to 2 dps? 0.91 Let t = 117.705 + -118. Let z = 0.39 + t. Let h = z - 0.0950328. What is h rounded to 6 decimal places? -0.000033 Let v be ((-4)/(-9))/(-9*14/(-567)). Suppose -v*k + 4*f + 20060000 = 0, -9*k + 13*k = f + 40120000. What is k rounded to the nearest 1000000? 10000000 Let z = 0.284 - 175.284. Let s = -175.377 - z. Round s to one decimal place. -0.4 Suppose 4*y = f + 108518, -f + 16*y - 108508 = 17*y. Round f to the nearest ten thousand. -110000 Let d(l) = 128960*l**2 - 3*l + 75. Suppose -4*q = 4*i - 116, 3*i - 67 = -6*q + 8*q. Let t be d(i). Round t to the nearest one million. 81000000 Let z(a) = 176703*a**2 - 6*a + 14. Let n be z(5). Let j = -9077559 + n. What is j rounded to the nearest 1000000? -5000000 Let k = -755 - -1348. Let p = -572 - k. Let u = 1165.000529 + p. What is u rounded to 4 decimal places? 0.0005 Let b = 12.8 + 3.9. Let l = b - 16.6871. What is l rounded to three decimal places? 0.013 Suppose -125*u - 496079 + 3946717 = -1129362. Round u to the nearest one thousand. 37000 Let n = 4938 - 4937.99973374. What is n rounded to five decimal places? 0.00027 Let z = 86 - 86.149. Let g = -0.1339 - z. Round g to three dps. 0.015 Let o = -365309.113 - -374440.8. Let a = 9128 - o. Round a to 1 dp. -3.7 Let u(w) = -13724*w**2 + 5*w + 111. Let f = -413 + 390. Let a be u(f). What is a rounded to the nearest one hundred thousand? -7300000 Let y = -119.6864 + -0.5936. Round y to 0 decimal places. -120 Let a = 10505 - 5321.1. What is a rounded to the nearest 100? 5200 Let n = 10566232 - 10566231.3799691. Let j = -13431.62 - -13431. Let p = j + n. What is p rounded to six dps? 0.000031 Let o = 1285.682977 + -1286. Let v = -0.3153 - o. What is v rounded to four dps? 0.0017 Let g = 43137.5501 - 43133. What is g rounded to 0 decimal places? 5 Let k = 107 + -35. Let s = k + -71.44. Let x = -0.56084 + s. What is x rounded to four decimal places? -0.0008 Let l = 0.0425 + 16.0075. Let i = l + -3.15. What is i rounded to the nearest ten? 10 Let v = 7285.8 - 7260.7996. Let n = -1.6 + -23.4. Let j = v + n. What is j rounded to four dps? 0.0004 Let s = -832 + 1278. Let a = 257 - s. Let k = a + 188.99803. Round k to four decimal places. -0.002 Let r = -2 + 1. Let k = -297.4 + 299. Let h = r + k. What is h rounded to zero decimal places? 1 Let l = 244 - -359.5. What is l rounded to the nearest ten? 600 Let q = -28082 + 28089.9008. What is q rounded to the nearest integer? 8 Let w(c) = -41 + 10 - 8 + 67*c - 18. Let v be w(9). Round v to the nearest 10. 550 Let f(c) = 533*c**3 - 4*c**2 + 3*c - 9. Let d be f(8). Let o = d + 714935. Let w = 1497590 - o. What is w rounded to the nearest one hundred thousand? 500000 Let s be -2140*9/((-135)/(-24762)). Let b = 1922713 + s. Let y be (3 - 0 - (4 + 0)) + b. What is y rounded to the nearest one hundred thousand? -1600000 Let z(u) = 8122*u**2 + 6*u + 4. Let n be z(-11). What is n rounded to the nearest 100000? 1000000 Let a = -343.551 - 0.449. Let z = a + 342.22. What is z rounded to the nearest integer? -2 Let z = 379.9 + -42.9. Let t = z + -344.68. What is t rounded to 0 dps? -8 Let u = 36880 + -36715.9713. Let y = 164 - u. What is y rounded to three decimal places? -0.029 Let h = -506 + 972.4. Let u = h + -421. Round u to the nearest ten. 50 Let r = -1406.001185 + 1406. What is r rounded to four decimal places? -0.0012 Let u = 203 - 350. Let n = u + 147.000208. What is n rounded to 5 decimal places? 0.00021 Let h = 2062.95739 + -0.35739. What is h rounded to the nearest 1000? 2000 Suppose 3*i - 32 = 3*o + 7*i, 0 = 4*o - 5*i + 53. Let n be 410*((-4)/(-22) + o/(-55)). Suppose -30*z + n = -32*z. Wh
{ "pile_set_name": "DM Mathematics" }
- x. Calculate h(n). -7 Suppose -2*d - d = -3483. Let y(o) = -3 + d*o - 1162*o + 3 - 1. Determine y(-5). 4 Let g(r) = r**2 - 23*r + 26. Let h(v) = v**3 + 107*v**2 + 206*v - 398. Let s be h(-105). Calculate g(s). 4 Suppose -20*k + 34 = -3*k. Suppose n = -3*y - 6, 0 = 2*n - 5*n - 4*y + 2. Let r(l) = -13*l**k + 122*l - 120*l - 1 - n*l**2. Calculate r(1). -18 Let g(j) = j - 1. Suppose -8 = 4*d + v, -d + 8 = -5*d - 5*v. Let u(x) = -9*x. Let q(t) = d*g(t) + u(t). Give q(1). -9 Let r(f) = -2*f - 1. Suppose 5 = -2*g + 17. Suppose -10 = -g*p + 8. Give r(p). -7 Let l = 3203 - 3196. Let k(g) = g**3 - 8*g**2 + 6*g - 12. Determine k(l). -19 Suppose 2*f - 9 - 3 = 0. Let g(c) = 0*c - 3*c - f*c + 4*c. Let y be -1*((-171)/133 - 2/(-7)). What is g(y)? -5 Let c(o) = -4*o**2 - 26*o + 16. Let m be c(-7). Let v be (m + 22)*2/(-12)*2. Let p(f) = f + 13. Calculate p(v). 5 Let l(s) = s + 6. Let f be l(-5). Let m(o) = -6*o + f - o**2 - 2 + 3*o. Suppose -20*i = -55*i - 35. What is m(i)? 1 Let j(v) = 11*v + 80. Let c(n) = -3*n**2 + 367*n + 993. Let a be c(125). Calculate j(a). 3 Let b = -20 + 23. Suppose -4*w + 0*j + 19 = -j, -b*w + 8 = -2*j. Let p(h) = -h**3 + 0*h - 3*h - 4*h - w*h**2 - 4. What is p(-4)? -8 Suppose 0*r + 4*o + 3 = -r, -r + 4*o + 29 = 0. Let m(s) = 9 - 6 - 7 - r - s. Calculate m(-6). -11 Let d(y) = y. Let i(n) = 11*n. Let r(p) = 6*d(p) - i(p). Let j(g) = g**2 - 52*g - 2806. Let z be j(-33). What is r(z)? 5 Let l be ((-90)/(-40))/(1/(-12)). Let d be 6/4*(-684)/l. Let b(g) = -46 + 5*g + 2*g**3 - g**3 + 7*g**2 + d. What is b(-6)? -2 Let x = -28 - -41. Let h(z) = 2*z - 23. Let l be h(x). Let n(k) = -k - 4*k**2 + 3 + 36*k**3 + 37*k**l - 74*k**3. Calculate n(-3). -3 Let w(o) = -174*o + 697. Let m be w(4). Let g(h) be the second derivative of -7*h**4/6 - h**3/6 + 4*h. Calculate g(m). -15 Let p(v) be the second derivative of 17*v**3/6 + 137*v**2/2 - 5412*v. Give p(-8). 1 Let y(q) = -25*q + 28. Let b be 735/1225 - 4/30*-3. What is y(b)? 3 Suppose 4*l + 2*a - 12 = 0, 0 = -3*l - 0*a - 5*a + 16. Let y(o) = -o**2 - 8*o + 13. What is y(l)? -7 Let r = -186595 - -186605. Let g(a) be the second derivative of -a**3/2 + 13*a**2/2 - a. Calculate g(r). -17 Let l(r) = -8 - 2*r + 2*r + 2 - r. Suppose 3*o + 4*t - 6*t + 1775 = 0, 5*o = 2*t - 2965. Let k = -601 - o. What is l(k)? 0 Let s(w) = w**3 + 4*w**2 + 12*w + 19. Suppose -122 = 303*k - 242*k. What is s(k)? 3 Let i = 10 - -45. Suppose -8*t - 1 = i. Let s(k) = -1 + 6*k + k**2 - 6 - 1. Calculate s(t). -1 Let i(r) = 146*r + 2. Let w(q) = 448*q + 7. Let u(p) = 3*i(p) - w(p). Let o be 3*2 - (5 + -3). Suppose -t - 3*t = o. What is u(t)? 9 Let s(c) = 4*c**2 + 43*c - 20. Let o(g) = -4*g**2 - 42*g + 18. Let j(b) = 4*o(b) + 3*s(b). Let u be j(-10). Let x(a) = 2*a - 2. What is x(u)? 2 Let x = 9494 - 9500. Let h(r) = r + 4. What is h(x)? -2 Suppose -5*f - 3*a + 2*a - 21 = 0, 0 = -3*f + 3*a - 27. Let m(q) be the second derivative of 2*q**3/3 + 10*q**2 + 161*q. Give m(f). 0 Suppose 195 = 318*h + 306*h - 637*h. Let b(z) = -2*z**3 - 31*z**2 - 19*z - 51. Give b(h). 9 Let m be 20/(-8 + -4 + 14). Let g(x) be the first derivative of 1/2*x**2 - 1/3*x**3 + m + x. Determine g(2). -1 Let c(h) = 3*h**3 + h**2 - h. Let m be c(1). Suppose 0 = -y + 6*y - q + 32, 4*y + 30 = m*q. Let d(k) = -k**3 - 6*k**2 - k - 5. What is d(y)? 1 Let m(b) be the third derivative of -b**5/60 + 7*b**4/24 + 4*b**3/3 - 6*b**2 - 25*b - 9. Suppose -3 = 2*i - 19. Calculate m(i). 0 Suppose -2*w + v - 1 = -2*v, -w + v - 1 = 0. Let n(f) = -f**3 - f**2 + f - 1. Let s(c) = c**3 - 2*c**2 - 5*c - 1. Let z(g) = w*n(g) - s(g). Determine z(-4). -9 Let f(t) be the first derivative of t**3/3 - 5*t**2 - 28*t + 1028. Give f(9). -37 Suppose 0 = -87*r + 77*r + 30. Let k(f) = -4*f**2 + 5*f**2 + 0*f + 13 - 2*f**2 - r*f - 2. Calculate k(-5). 1 Let i(s) = 3*s - 10. Let u(k) = -19*k + 19. Let j(y) = -6*i(y) - u(y). Calculate j(-10). 31 Let u(m) = m**2 + 18*m - 23. Let f = 223 - 233. Let c be -38*(15/50)/((-6)/f). Calculate u(c). -4 Let o(n) = -2*n - 1. Let j be -9*1 - 112/(-14). Let y(v) = v + 2. Let s(t) = j*y(t) - 4*o(t). Calculate s(-5). -33 Let i be (14 - 15)*((-3)/12)/((-2)/48). Suppose 13 = -f + 4*c, -4*f - 2*c + 1 = -37. Let m(n) = -f*n + n - 3*n - 8 - n**2. Determine m(i). 10 Let w(r) = -8*r**2 - 6*r**2 + 23*r**2 - 5*r**2 - r**2 - 15 - 10*r. Give w(8). 97 Let l(j) = -2*j + 1. Let k be 3/1*(-2)/(-2). Suppose -k*m + 2*o + 33 = -91, -89 = -3*m - 5*o. Suppose 6 = -m*p + 40*p. What is l(p)? -5 Suppose 10*r - 139 + 89 = 0. Suppose 3*o - 21 = -r*x + 2*x, 0 = -x + 5*o - 11. Let j(p) = -2*p**2 + 8*p + 2. Determine j(x). 2 Let c(t) = -10*t**2 - 43*t - 13. Let s(a) = -3*a**2 - 14*a - 4. Let w(k) = -2*c(k) + 7*s(k). Suppose 4*o + 76 = 28. Determine w(o). -2 Let t(b) = -2*b**3 - 5*b**2 - 31*b + 6. Let y(v) = -5*v**3 - 14*v**2 - 98*v + 20. Let k(f) = 8*t(f) - 3*y(f). Give k(-6). 0 Suppose 4 = 5*w + 3*o, 0 = -4*w + o + 11 - 1. Let f(c) = 3 - 221*c + 5*c**w + 0*c**3 + 223*c - 6 - 2*c**3. Give f(4). -43 Suppose -3*v - 1902 = -4*a, 3*a = -33*v + 37*v + 2529. Let l = v + 632. Let h(f) = -16*f. Give h(l). -32 Let a(f) be the third derivative of f**6/120 - f**5/20 - f**4/12 - 2*f**3/3 - f**2. Suppose -621*y + 1386 = -1098. Give a(y). 4 Let a(i) = i**3 - 6*i**2 + 28*i - 23. Let s(m) = -2*m**3 + 12*m**2 - 59*m + 47. Let j(h) = -15*a(h) - 7*s(h). Give j(7). -82 Let q(g) = 11*g - 128. Let k be q(12). Suppose -k*c + 2 = 2*u, -2*c + 3*u = 45 - 66. Let z(x) = x**2 + x - 4. Calculate z(c). 8 Let d(z) = z**2 + 17*z + 33. Suppose -2238 = -33*a - 2700. Determine d(a). -9 Let w(o) = o**2 - o - 1. Let a(y) = y + 4. Let n be a(2). Let v(p) = -2*p**2 + 14*p - 8. Let j be v(n). Calculate w(j). 11 Let u(l) = -117*l**2 + 116*l - 670. Let j(x) = 19*x**2 - 19*x + 109. Let d(r) = 37*j(r) + 6*u(r). Suppose -3*y = -7*y + 2*c + 14, -y + 9 = 5*c. Give d(y). 1 Let v(i) = 3*i**3 + 9*i**2 + 16*i + 9. Let z(l) = 7*l**3 + 18*l**2 + 32*l + 17. Let q(a) = 5*v(a) - 2*z(a). Give q(-7). -3 Let h(v) = 4*v + 11. Suppose -4*f - 6*a + 2*a = 76, 3*f - 7*a = -7. Calculate h(f). -45 Let m(r) = -r**2 + 11*r + 8. Suppose 2*n = 4 - 0, 4*d = -5*n + 2. Let y(g) = 3 - 5 + g**2 - 9*g - 3 - 2. Let x(h) = d*m(h) - 3*y(h). What is x(6)? -1 Let d = -908 - -910. Let y(c) = 1355 + 4*c**2 - 15*c**d + c**3 - 1341 - 27*c. Calculate y(13). 1 Suppose 20*t = z + 3*z + 144, 0 = 3*z + 2*t - 11. Let v(k) = 26*k - 16. Let c(d) = 9*d - 5. Let l(w) = 16*c(w) - 5*v(w). Calculate l(z). -14 Let q = 8 + -5. Let z(o) = -o**3 - q + 6*o - 14*o + 4 - 19 + 13 - 10*o**2. Calculate z(-9). -14 Let l(u) = 2*u**2 - 33*u - 29. Let h(t) = -5*t**2 + 67*t + 58. Let a(r) = 4*h(r) + 9*l(r). Determine a(-13). 10 Let u(d) be the first derivative of d**7/120 - d**6/360 - d**5/120 - d**4/24 - 35*d**3/3 - d**2/2 - 32. Let f(p) be the third derivative of u(p). What is f(-1)? -8 Suppose -2*r + 3 - 5 = -4*f, -12 = -4*f + 4*r. Let c(y) = -4*y - 11. Give c(f). -3 Suppose 0 = w + v - 6, -2*w + 20 = 5*v - v. Let j(g) = 8*g + w*g**2 + 4 - g + g - 5*g. Give j(-2). 6 Suppose 63*i = -2022 + 1959. Let l(m) be the first derivative of 13*m**5/120 - m**4/24 - m**3/3 + 1. Let r(s) be the third derivative of l(s). What is r(i)? -14 Suppose 519*w + 168 = 518*w. Let d = -171 - w. Let m(o) = 2*o**3 + 4*o**2 - 2*o - 4. What is m(d)? -16 Let r(h) = -2*h - 4. Let i(y) = 357*y - 1419. Let b be i(4). Determine r(b). -22 Let p(u) = -35*u. Let a(z) = -9*z. Let q(c) = 15*a(c) - 4*p(c). Let t(g) = -g**3 - 6*g**2 - 4*g - 20. Let d be t(-6). Let l be 2*(14/d - 4). Calculate q(l). -5 Let l be (-11830)/17 - (40/(-68))/(-5). Let p be l/(-88) - ((-9)/(-33))/(-3). Let v(q) = -q**2 + 5*q - 1. Determine v(p). -25 Let p(z) = z**2 - 10*z - 4. Let k(i) = -i**3 - 16*i**2 + 8. Let t = 159 + -175. Let c be k(t). Determine p(c). -20 Let x be -5*6/(6 - 12). Suppose 5*d + 0*d = 4*l + x, 0 = -l + 2*d + 1. Let i(j) = -j**2 - 2. Calculate i(l). -27 Let h(i) = i**3 - 4*i**2 - 2*i + 7. Suppose 0*u = 4*u - 0*u. Suppose -5*l + 2 = 3*o - 17, l + 2*o - 1 = u. What is h(l)? 22 Let d(h) = -h**3 - h + 1. Let x(v) = 5*v**3 - 6*v**2 + v - 15. Let l(b) = 6*d(b) + x(b). Let i(f) = -7*f**2 - f. Let y be i(-1). What is l(y)? 21 Let a(h) = -h**3 - 28*h**2 - 3*h - 78. Let z be (-2)/(-1)*(-101 + 87). Let p be a(z). Let o(k) = k**3 - 7*k**2 + 3*k - 7. Calculate o
{ "pile_set_name": "DM Mathematics" }
Give prob of picking 2 f. 3/28 Two letters picked without replacement from ooxzezwoo. Give prob of picking 1 o and 1 x. 1/9 Calculate prob of picking 3 l when three letters picked without replacement from ttttlettlltltt. 1/91 Two letters picked without replacement from ntnunnzququpn. Give prob of picking 1 z and 1 p. 1/78 Two letters picked without replacement from {q: 1, b: 2, j: 1, p: 2, t: 1, h: 1}. Give prob of picking 1 b and 1 j. 1/14 Calculate prob of picking 2 z when two letters picked without replacement from {f: 6, z: 2}. 1/28 Calculate prob of picking 2 i when two letters picked without replacement from iiggig. 1/5 Three letters picked without replacement from ymymmynzyynqqnq. What is prob of picking 2 y and 1 n? 6/91 Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {o: 1, t: 1, w: 10, g: 1, y: 1}. 10/91 Four letters picked without replacement from {u: 9, o: 9}. Give prob of picking 1 o and 3 u. 21/85 What is prob of picking 2 c and 1 q when three letters picked without replacement from qqqcqqqqcqq? 3/55 Calculate prob of picking 2 f when two letters picked without replacement from fvfvfvvfvvfvvvffffvf. 9/38 Three letters picked without replacement from voovaa. What is prob of picking 1 a and 2 o? 1/10 Calculate prob of picking 1 l, 1 n, and 1 d when three letters picked without replacement from {d: 5, n: 3, m: 3, i: 3, l: 1}. 3/91 Three letters picked without replacement from {w: 1, e: 2, b: 1, x: 2}. What is prob of picking 1 x, 1 b, and 1 w? 1/10 Three letters picked without replacement from {r: 1, v: 12}. What is prob of picking 3 v? 10/13 Calculate prob of picking 1 m, 2 t, and 1 a when four letters picked without replacement from tmtttatttmmtttt. 11/91 Calculate prob of picking 1 w, 2 o, and 1 m when four letters picked without replacement from {o: 11, m: 1, w: 7}. 385/3876 What is prob of picking 2 p and 1 m when three letters picked without replacement from ppmmmmppmp? 5/12 Calculate prob of picking 1 r and 3 g when four letters picked without replacement from rgrgrggrrrggggrg. 21/65 Three letters picked without replacement from eeeieepeeeieep. What is prob of picking 2 i and 1 e? 5/182 Calculate prob of picking 1 u and 1 r when two letters picked without replacement from rgruqutit. 1/9 Two letters picked without replacement from snk. Give prob of picking 1 k and 1 s. 1/3 What is prob of picking 3 d when three letters picked without replacement from {h: 3, d: 4, n: 1}? 1/14 What is prob of picking 1 g and 1 t when two letters picked without replacement from ttttggtgygg? 5/11 Calculate prob of picking 2 k, 1 w, and 1 d when four letters picked without replacement from wsdssixksskdxssdssk. 3/1292 Four letters picked without replacement from {c: 2, l: 8, w: 2, i: 1, k: 1}. Give prob of picking 1 i, 1 k, 1 w, and 1 c. 4/1001 Calculate prob of picking 1 b and 3 v when four letters picked without replacement from vzbvvbpppbpbb. 1/143 Calculate prob of picking 2 y and 2 f when four letters picked without replacement from {f: 7, y: 2}. 1/6 Calculate prob of picking 1 z and 2 h when three letters picked without replacement from zzzzhh. 1/5 Calculate prob of picking 2 t, 1 v, and 1 q when four letters picked without replacement from ttqqnqnqqqqddtvvq. 12/595 Two letters picked without replacement from kkkkkkkkrekekkrker. Give prob of picking 2 e. 1/51 Calculate prob of picking 2 f when two letters picked without replacement from yyfffffffyffff. 55/91 Calculate prob of picking 1 i and 2 u when three letters picked without replacement from iuuiiviiviiivviiiiiv. 13/1140 What is prob of picking 1 z and 1 u when two letters picked without replacement from onrzmuz? 2/21 Two letters picked without replacement from ggggggg. Give prob of picking 2 g. 1 Four letters picked without replacement from {v: 3, z: 1, s: 5, w: 3}. What is prob of picking 2 w and 2 v? 1/55 What is prob of picking 2 f when two letters picked without replacement from owwwwofoowwwofoowwo? 1/171 Two letters picked without replacement from {l: 1, d: 8, c: 6, v: 3}. Give prob of picking 1 l and 1 d. 8/153 Calculate prob of picking 1 x, 1 i, and 1 b when three letters picked without replacement from {h: 2, i: 1, d: 9, x: 3, o: 3, b: 2}. 1/190 Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 5, l: 4, r: 3}. 10/33 Two letters picked without replacement from xxxuuuxxxxuu. Give prob of picking 1 x and 1 u. 35/66 Calculate prob of picking 1 e and 2 p when three letters picked without replacement from {p: 2, n: 3, c: 3, h: 1, u: 3, e: 1}. 1/286 What is prob of picking 2 x when two letters picked without replacement from xlxlxlxlllxl? 5/33 Two letters picked without replacement from gledegdeleg. What is prob of picking 2 e? 6/55 Two letters picked without replacement from kqixhqhqiimk. Give prob of picking 2 q. 1/22 What is prob of picking 1 j and 1 o when two letters picked without replacement from {m: 4, g: 1, j: 4, o: 1, r: 1, x: 1}? 2/33 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 3, p: 1, x: 1}. 3/10 Two letters picked without replacement from {j: 9, y: 3}. Give prob of picking 1 y and 1 j. 9/22 Two letters picked without replacement from {i: 5, u: 3, n: 1, q: 4, c: 5}. What is prob of picking 1 u and 1 c? 5/51 What is prob of picking 2 u and 2 o when four letters picked without replacement from uoouuuuuuuu? 6/55 What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmmmmmmhm? 13/15 What is prob of picking 1 d and 3 x when four letters picked without replacement from xxxdxxxdx? 5/9 What is prob of picking 2 a when two letters picked without replacement from aajajaaa? 15/28 Calculate prob of picking 2 n when two letters picked without replacement from nnn. 1 Two letters picked without replacement from {y: 6, g: 2, p: 3, n: 1}. What is prob of picking 2 p? 1/22 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {r: 1, l: 3, q: 5, v: 1, e: 1}. 3/11 What is prob of picking 1 y and 2 p when three letters picked without replacement from apaapapy? 3/56 Two letters picked without replacement from {s: 4, k: 14}. Give prob of picking 2 s. 2/51 What is prob of picking 3 f when three letters picked without replacement from {f: 3, o: 1, a: 1, u: 1, r: 1}? 1/35 Two letters picked without replacement from {v: 4, c: 2, z: 1, j: 1, h: 1}. Give prob of picking 1 h and 1 j. 1/36 Two letters picked without replacement from {k: 7, g: 4}. What is prob of picking 2 k? 21/55 What is prob of picking 1 j and 2 r when three letters picked without replacement from {r: 3, j: 2}? 3/5 Four letters picked without replacement from {m: 4}. What is prob of picking 4 m? 1 Three letters picked without replacement from {x: 2, p: 3, h: 4}. What is prob of picking 1 p and 2 h? 3/14 What is prob of picking 2 q, 1 g, and 1 t when four letters picked without replacement from ggfqtq? 2/15 Two letters picked without replacement from {i: 12, m: 7}. Give prob of picking 1 i and 1 m. 28/57 Calculate prob of picking 2 j when two letters picked without replacement from {c: 1, f: 3, b: 5, n: 3, y: 1, j: 4}. 3/68 Three letters picked without replacement from {r: 13, l: 5}. Give prob of picking 1 r and 2 l. 65/408 Two letters picked without replacement from ytjxz. What is prob of picking 1 y and 1 x? 1/10 What is prob of picking 1 q, 1 r, 1 l, and 1 g when four letters picked without replacement from grdrgqrgqzlql? 54/715 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {s: 1, u: 1, n: 1, g: 2, x: 2, e: 2}. 1/18 Calculate prob of picking 2 p and 1 l when three letters picked without replacement from plvmlplzlpzlzmmmpmpl. 1/19 What is prob of picking 1 z and 3 a when four letters picked without replacement from {z: 7, t: 2, a: 4}? 28/715 What is prob of picking 1 c and 1 p when two letters picked without replacement from {h: 1, c: 2, e: 1, s: 1, p: 1, b: 1}? 2/21 Three letters picked without replacement from zmmzmzojzzzzomom. What is prob of picking 2 o and 1 z? 3/80 Calculate prob of picking 1 x, 1 y, 1 e, and 1 v when four letters picked without replacement from {u: 1, v: 1, x: 1, y: 1, e: 1}. 1/5 T
{ "pile_set_name": "DM Mathematics" }
160 Calculate the smallest common multiple of 2359 and 147. 49539 What is the lowest common multiple of 396 and 2? 396 Find the common denominator of -95/16 and -103/253782. 2030256 Calculate the common denominator of 29/34538 and 89/20. 345380 Find the common denominator of -59/352680 and 101/12. 352680 Calculate the common denominator of 151/684 and -113/38760. 116280 Find the common denominator of 149/5016 and -21/364496. 1093488 What is the lowest common multiple of 11 and 3095? 34045 What is the smallest common multiple of 6365 and 209? 70015 Find the common denominator of -119/600 and 97/8400. 8400 What is the common denominator of 81/392470 and -43/117? 3532230 What is the common denominator of -29/1482 and 127/46566? 884754 Calculate the common denominator of -23/7 and -29/37577. 263039 Calculate the common denominator of -41/108 and 88/6795. 81540 Calculate the smallest common multiple of 4 and 2675. 10700 What is the smallest common multiple of 110 and 4081? 40810 Calculate the common denominator of 11/107439 and -37/9. 322317 What is the lowest common multiple of 191 and 230346? 230346 Calculate the lowest common multiple of 18699 and 11382. 261786 Calculate the common denominator of -13/4830 and 47/66010. 198030 Find the common denominator of 50/653 and -49/653. 653 What is the common denominator of -23/231 and -69/156002? 468006 What is the common denominator of -11/374904 and -181/1249680? 3749040 Calculate the least common multiple of 1258906 and 88. 5035624 What is the smallest common multiple of 56832 and 4096? 454656 Calculate the lowest common multiple of 4730 and 7568. 37840 Calculate the least common multiple of 91312 and 449536. 5843968 What is the common denominator of -39/1725125 and 167/30? 10350750 Find the common denominator of -6/5 and 34/15979. 79895 Find the common denominator of -23/369945 and 97/42. 5179230 Find the common denominator of -21/559 and -119/104490. 1358370 Calculate the least common multiple of 40 and 810204. 8102040 What is the lowest common multiple of 9047 and 7? 63329 What is the least common multiple of 12 and 40262? 241572 Calculate the common denominator of 69/32 and 55/367304. 1469216 Calculate the lowest common multiple of 33489 and 61. 33489 Calculate the common denominator of -27/20 and 131/4290. 8580 Calculate the smallest common multiple of 46 and 3844. 88412 What is the smallest common multiple of 1040 and 3920? 50960 What is the common denominator of 41/1130 and 69/24634? 123170 Calculate the lowest common multiple of 2304 and 68352. 205056 Calculate the least common multiple of 260 and 12558. 125580 What is the smallest common multiple of 122996 and 10778? 2090932 What is the lowest common multiple of 137292 and 15? 686460 Find the common denominator of -185/8736 and 81/22. 96096 Calculate the lowest common multiple of 25 and 4149. 103725 Find the common denominator of -67/152 and 6/779. 6232 What is the least common multiple of 3894 and 18408? 202488 What is the common denominator of 81/22802 and 83/18? 205218 Find the common denominator of 63/8 and 149/20406. 81624 Find the common denominator of -77/14302 and -7/848. 6064048 Calculate the least common multiple of 56612 and 38. 1075628 What is the common denominator of -17/132 and -29/18516? 203676 Calculate the least common multiple of 483582 and 16378. 9188058 Calculate the common denominator of 69/19580 and -71/13706. 137060 Find the common denominator of 61/15526 and 27/22180. 155260 What is the common denominator of 61/600460 and -37/4? 600460 What is the smallest common multiple of 288 and 3282? 157536 What is the smallest common multiple of 330 and 68442? 342210 What is the lowest common multiple of 61 and 99269? 6055409 What is the least common multiple of 56 and 7504? 7504 Calculate the lowest common multiple of 175 and 115. 4025 What is the smallest common multiple of 2420 and 660? 7260 What is the common denominator of 41/1772 and 115/10632? 10632 What is the lowest common multiple of 4774 and 18662? 205282 What is the lowest common multiple of 288 and 247671? 7925472 What is the common denominator of -45/578 and -27/2678? 773942 What is the common denominator of 67/145607 and 109/66? 873642 Calculate the lowest common multiple of 8895 and 234. 693810 What is the lowest common multiple of 18438 and 4829? 202818 What is the smallest common multiple of 13794 and 9196? 27588 Find the common denominator of -89/132 and 43/94158. 2071476 What is the lowest common multiple of 6924 and 14? 48468 What is the common denominator of 44/29263 and 29/19? 555997 Calculate the common denominator of -67/1330 and -73/33250. 33250 What is the common denominator of -58/495 and 39/67? 33165 Find the common denominator of -38/2667 and 11/246507. 1725549 What is the common denominator of 109/4410 and -89/5580? 273420 What is the smallest common multiple of 22437 and 11? 246807 Calculate the lowest common multiple of 530 and 2410. 127730 Calculate the smallest common multiple of 460 and 300. 6900 What is the common denominator of 21/3608 and 55/112? 50512 Calculate the least common multiple of 36 and 120780. 120780 Find the common denominator of -19/1888110 and -139/23310. 1888110 Calculate the common denominator of -79/28188 and 56/12069. 4200012 Calculate the lowest common multiple of 36 and 22340. 201060 Calculate the common denominator of 91/192 and 38/729. 46656 What is the common denominator of 24/254939 and 23/8? 2039512 Calculate the lowest common multiple of 1710 and 1368. 6840 Find the common denominator of -101/9020 and -97/7216. 36080 Calculate the smallest common multiple of 483 and 13. 6279 What is the least common multiple of 6525 and 59450? 535050 What is the common denominator of 137/8268 and -43/378261? 1513044 Calculate the smallest common multiple of 67 and 1921. 128707 What is the lowest common multiple of 108 and 900? 2700 Find the common denominator of 103/152508 and 39/749831. 8997972 What is the least common multiple of 52650 and 16848? 421200 What is the least common multiple of 1350 and 8370? 41850 What is the lowest common multiple of 4624 and 15028? 60112 Calculate the smallest common multiple of 9557 and 171. 86013 Calculate the least common multiple of 66479 and 75976. 531832 What is the smallest common multiple of 177536 and 13870? 887680 What is the least common multiple of 33 and 7416? 81576 Find the common denominator of -111/2570 and 69/20. 5140 What is the smallest common multiple of 12023 and 1093? 12023 What is the common denominator of 83/42820 and -49/6423? 128460 What is the common denominator of -47/16626 and -48/13855? 83130 What is the common denominator of -35/1149 and -83/12639? 12639 Calculate the common denominator of 30/17653 and 23/1390. 176530 What is the smallest common multiple of 31244 and 2044? 218708 What is the common denominator of 39/6814 and 89/26? 88582 Calculate the common denominator of 67/384384 and -10/81081. 10378368 What is the common denominator of -3/1225 and 66/95? 23275 Calculate the common denominator of -37/82506 and 145/165012. 165012 What is the common denominator of -35/52272 and -61/144? 52272 What is the least common multiple of 5423 and 5390? 2657270 Calculate the lowest common multiple of 2420 and 12100. 12100 Calculate the lowest common multiple of 12 and 2532. 2532 Calculate the common denominator of -41/1380 and -71/180. 4140 Calculate the common denominator of -17/506 and -63/4378. 100694 What is the common denominator of 77/72 and -121/715266? 2861064 What is the least common multiple of 554760 and 335? 554760 Find the common denominator of 38/32495 and -4/45493. 227465 Find the common denominator of 83/8925 and -73/476. 35700 Find the common denominator of -79/341616 and -125/12. 341616 Calculate the smallest common multiple of 5040 and 4455. 498960 What is the lowest common multiple of 18 and 88382? 795438 Find the common denominator of 54/565 and -13/527145. 527145 Calculate the common denominator of 101/14574 and -59/630. 218610 Find the common denominator of 41/960 and -139/72384. 361920 What is the common denominator of 11/2819 and -59/44? 124036 Find the common denominator of -89/156132 and -25/36. 156132 What is the least common multiple of 72996
{ "pile_set_name": "DM Mathematics" }
+ z + 4*s = j, t*s - 15 = -4*z. Calculate the remainder when 11 is divided by z. 5 Let l = -9 + 14. Let r(s) = 8*s + 2. What is the remainder when r(l) is divided by 15? 12 Suppose 0 = 4*i - 3*g - 51, 4*g - 70 = -5*i - 14. What is the remainder when 23 is divided by i? 11 Suppose 3*k + 5*b + 28 = 5*k, 0 = 3*k + b - 42. What is the remainder when (-4)/(-8) + (-154)/(-4) is divided by k? 11 Let y(v) = 27*v + 1. Let p be y(1). Let j = -17 + 30. Let t = p - j. Calculate the remainder when 28 is divided by t. 13 What is the remainder when (-4)/(8/(-63))*2 is divided by 22? 19 Suppose -3*f + 27 = o - 80, -2*f = -o - 68. What is the remainder when f is divided by (-11 - -26) + -4 + 1? 11 Suppose 5*v = 5*a + 70, -4*a - 3 = 5. What is the remainder when v is divided by 8? 4 Suppose -3*m + 5*y + 2 + 0 = 0, m + 3 = -2*y. Let o(s) = -24*s. Suppose w + 0 = 13. What is the remainder when o(m) is divided by w? 11 Let t = 40 + -25. What is the remainder when t is divided by 4? 3 What is the remainder when 18 is divided by 5 + (-3 - 4) - (2 + -10)? 0 Let s = -67 - -98. What is the remainder when s is divided by 11? 9 Suppose 3*f + 111 = -2*q, -2*f - f - 126 = -3*q. Let h = f - -58. What is the remainder when h is divided by 11? 8 Let r = -27 - -42. Let m = r + -6. Let f(t) = -t + 27. Calculate the remainder when f(11) is divided by m. 7 Let y be 427/(-13) - 2/13. Let o = -16 - y. What is the remainder when 67 is divided by o? 16 Let h(p) = -24*p - 4. Let n be h(-3). Suppose 4*q - 36 = n. Calculate the remainder when q is divided by (-4 + 7)/((-6)/(-28)). 12 Let k = 7 - 5. Suppose -2*h + 0*h - 3*f + 17 = 0, -10 = -h - f. What is the remainder when (-112)/(-3) - k/6 is divided by h? 11 Let g(r) = 2*r**2 + r - 3. What is the remainder when g(-5) is divided by 15? 12 Suppose -5*l - 17 = 2*z, -3*l = -4*z - 7*l - 16. What is the remainder when 28 is divided by (-29 + 14)/(1*z)? 13 Suppose -n + 2*o = -o - 48, 0 = 5*n + 2*o - 257. What is the remainder when n is divided by 11? 7 Let b = 5 + -3. Let d(u) = 4*u - 1. Calculate the remainder when 20 is divided by d(b). 6 Suppose -2*n = -n, 3*n = 3*s - 123. What is the remainder when s is divided by 11? 8 Suppose -2*l + 12 = n + 2*n, -l + 5 = n. Suppose -4*z = -n*z - 5*d - 23, 2*z - 21 = 3*d. What is the remainder when z is divided by 5? 4 Let c be 39/4 - 2/(-8). Let q be 3 - 3/((-6)/(-16)). Let g = q + c. What is the remainder when g is divided by 3? 2 Let j(l) = -65*l**3 - l**2 + l + 1. Let w(u) = -29*u - 6. Let r be w(-4). Suppose -i + r = 4*i. Calculate the remainder when j(-1) is divided by i. 20 Let k = 2 - 1. Suppose 2*g - 10 = 24. What is the remainder when ((0 - -2) + 47)*k is divided by g? 15 Suppose -5*d + 2*d = -186. Let f(o) = -o**3 - o + 16. Let x be 0/(3/(-6)*2). What is the remainder when d is divided by f(x)? 14 Suppose 11 = 3*u + 26, -2*p + 2*u - 52 = 0. Let f = p + 75. Suppose 0 = -0*r - 4*r + f. Calculate the remainder when 43 is divided by r. 10 Suppose 6 = -5*d + 71. Calculate the remainder when 35 is divided by d. 9 Let z = -2 - 0. Let l = 0 + 29. Calculate the remainder when l is divided by (-6)/z*60/18. 9 Suppose 5*l + 23 = 3*a - 6, a + 17 = -5*l. Suppose a*s + 4 = 61. What is the remainder when s is divided by 5? 4 Let w(i) = i**2 - i + 22. Suppose 4*d + d - 430 = 0. Calculate the remainder when d is divided by w(0). 20 Let r(w) = -w**3 + 6*w**2 + w. Let v be r(6). Let b = 1 + v. Suppose 2*h - 18 = 20. Calculate the remainder when h is divided by b. 5 Let d(w) = -w + 2. Let h be d(8). What is the remainder when (8/h)/2*-15 is divided by 6? 4 Suppose 0 = -a - m - 0*m + 4, 0 = a - 5*m - 10. What is the remainder when a is divided by -3*(1/(3/6) - 3)? 2 Suppose 2*y - 5 + 3 = 0. Let t be y + (3 - 2 - -1). Suppose -4*i = -t*i - 22. What is the remainder when 65 is divided by i? 21 Suppose -2*g - 3*g = -95. Calculate the remainder when g is divided by 3. 1 Let v(u) = -u**3 - 4*u**2 + u - 1. Suppose r + 0 + 5 = 0. Let q be v(r). Let o = q + -13. Calculate the remainder when o is divided by 4. 2 Calculate the remainder when 42 is divided by (-1)/(-2)*(9 - -37). 19 Let c(y) = -2*y**3 - y**2 + y. Suppose 2*m = -0*m + 6. Suppose -4*f - 4*j + 2 = 6, -m = f - j. Calculate the remainder when 29 is divided by c(f). 9 Suppose -30*w = -25*w - 80. What is the remainder when 62 is divided by w? 14 Let l = 11 - 7. Suppose l*y = 5*u + 68, 0*y + 3*y = u + 51. What is the remainder when 65 is divided by y? 14 Let r(w) = 17*w**2 - 1. Let s = -24 + 17. Let x(h) = h**3 + 8*h**2 + 8*h + 8. Let p be x(s). Calculate the remainder when r(p) is divided by 6. 4 Suppose -3*g - w - 9 = 2*w, -13 = g - w. Let j = 15 + g. Suppose 2*z - 8 = -c - z, -2*z = -5*c + 108. Calculate the remainder when c is divided by j. 6 Suppose -t - 3*y + 2*y + 35 = 0, 20 = -5*y. Calculate the remainder when t is divided by 21. 18 Let a(w) = -15*w + 57. Let t(q) = -7*q + 28. Let v(n) = -3*a(n) + 7*t(n). Calculate the remainder when v(-11) is divided by 18. 15 Suppose 0 = 17*r - 12*r - 90. Let w(v) = 18*v - 2. Suppose -s + 3 = -0*s. Calculate the remainder when w(s) is divided by r. 16 Suppose -d = -2*d + 11. Let u(n) = n**3 + 7*n**2 + 3*n + 13. Calculate the remainder when u(-6) is divided by d. 9 Suppose 6*c + 35 = 119. Calculate the remainder when 52 is divided by c. 10 Let k(b) = b**3 - b**2 + 6. What is the remainder when k(0) is divided by ((-342)/(-24))/3 + 3/(-4)? 2 Let v(f) = f**3 + 2*f**2 + f + 1. Let d be ((-3)/((-6)/(-2)))/(-1). Let c be (3 - 2) + 2 - d. Calculate the remainder when v(c) is divided by 7. 5 Let w = -5 - -11. What is the remainder when w/4 + 2/4 is divided by 2*((-6)/4)/(-3)? 0 Let w(h) = h**2 + h - 12. Calculate the remainder when w(-5) is divided by 5. 3 Let m(d) = -3*d - 7. Let f be m(-5). Calculate the remainder when f/4*(-75)/(-6) is divided by 13. 12 Suppose 6 + 14 = -4*b, -14 = h + 5*b. Suppose -4*n - 5*m + 5 = 0, -h = -5*n - 2*m + 8. Let t = -9 + 18. Calculate the remainder when t is divided by n. 4 What is the remainder when 7 is divided by 2/6 - (-14)/3? 2 Suppose -4*w - 160 = -5*m - 0*w, -2*m = -w - 64. Suppose 115*b - 132 = 104*b. What is the remainder when m is divided by b? 8 Let b(h) = -2*h - 4. What is the remainder when b(-7) is divided by 4? 2 Let p = -19 + 38. Let j = 10 - 11. Calculate the remainder when (-6)/3 - j - -37 is divided by p. 17 Calculate the remainder when (-459 - -1)/(-2 + 4 + -4) is divided by 21. 19 Calculate the remainder when ((-8)/10)/((-22)/275) is divided by 3. 1 Suppose 0 = m - 3*m + 2*a + 34, -m + 2*a + 22 = 0. What is the remainder when m is divided by 7? 5 Suppose 5*k = 5*i + 65, -i + 6*i = k - 29. What is the remainder when ((-100)/12)/(3/(-9)) is divided by k? 7 What is the remainder when 53 is divided by -1 - ((-1)/1 - 14)? 11 Let q = 110 - 37. What is the remainder when q is divided by 25? 23 Let w(j) = 10*j - 4. Let a be (-2)/9 + (-94)/(-18). Calculate the remainder when w(a) is divided by 16. 14 Let h(l) be the first derivative of -l**4 - 3*l**2/2 - 3*l - 2. Calculate the remainder when h(-2) is divided by 18. 17 Let g = 27 + -5. Calculate the remainder when 85 is divided by g. 19 Suppose -3*o = z - 0*z - 20, -50 = -5*o - 5*z. What is the remainder when ((-72)/(-15))/((-9)/(-30)) is divided by o? 1 Suppose 5*o - m - 48 = -5*m, -5*o - m = -42. What is the remainder when 28 is divided by o? 4 Let b(q) = -21*q**3 + 2*q**2 + 3*q + 2. What is the remainder when 41 is divided by b(-1)? 19 Let h(c) = 3*c + c - c + 0*c + 4. Suppose 0*r - g + 14 = 2*r, -25 = -r - 5*g. Calculate the remainder when h(r) is divided by 10. 9 Let y be (-2)/((-2)/2) + -2. Let a(s) = s + 46. Suppose 5*k - 5*i - 38 = 52, 0 = 5*i + 10. Calculate the remainder when a(y) is divided by k. 14 Let u(v) = -v + 8. Let b be u(8). Suppose l + 2*j - 6 = b, l + 4*j + 30 = 2*l. Calculate the remainder when 39 is divided by l. 11 Suppose o = -2*r - 35 + 189, -3*o = 3*r - 228. What is the remainder when r is divided by 16? 14 Let g(n) = n**2 + 5*n + 3. Let y be g(-5). Let u = -58 + 80. What is the remainder when u is divided by (y/(-3))/((-1)/12)? 10 Let h = 7 + 5. What is the remainder when 46 is divided by h? 10 Suppose 5*z - 3*k = 104, 3*z - 2*k - 27 = 36. Calculate the remainder when z is divided by ((-2 + 3)*-11)/(-1
{ "pile_set_name": "DM Mathematics" }
b) o (c) 6/11 a Let s = -1815 - -1817. Which is the nearest to s? (a) -1/4 (b) 1/8 (c) 2/3 (d) -4/7 c Let q = -17 - -39. Let c = 44 - q. Let u = 23 - c. What is the nearest to -1 in u, 0.2, 4? 0.2 Let p = 22.8629 - -0.0371. Let w = 23 - p. Let k be (0 - 1/3)*-2. What is the nearest to w in -2/9, k, 1/2? -2/9 Let y = 2 + -0.3. Let f = y + 1.3. Which is the closest to -2/7? (a) f (b) 0.4 (c) -2 b Let i = -202 + 197. Let j = -1101/7 + 157. Which is the nearest to 4? (a) j (b) i (c) 0.2 c Let x = 61 - 91. Let n be 4/x + 4/3. Let u = 2 - 3. What is the nearest to -1 in u, -0.3, n? u Let l = -7.1 + 7. Let g = 25.7 + -25. Let u = -0.5 + g. Which is the nearest to -3/7? (a) u (b) -0.2 (c) l b Let y be (-7 + 4)*((-952)/(-96) - 10). Which is the nearest to 2/3? (a) y (b) 61 (c) 2/13 a Suppose -21*i + 3*i = -72. What is the nearest to -1 in -4, i, -1.8? -1.8 Let r = -16/21 - -17/7. Which is the nearest to -0.2? (a) -5 (b) -0.1 (c) r b Let h be (-5)/(1 + 0) + 2. Let g = -1386 - -1387. Which is the nearest to -8? (a) g (b) h (c) -5 c Let g = 29 - 36. Let l = 5 + -5.1. What is the nearest to l in -0.4, -5, g? -0.4 Let m = -0.02 - -7.02. Which is the nearest to m? (a) -1 (b) -2/23 (c) 2/3 c Suppose -4*k + 40 = 20, 0 = -5*l + 3*k + 5. What is the nearest to 8 in l, -0.5, -1? l Let j = -5 - -4. Let f be 8/32 + j/2. What is the nearest to -14 in 1/8, f, -3/4? -3/4 Let h be 3 - 35/(-25) - 4. What is the closest to -1/4 in 2, -2/5, h? -2/5 Let c = 1.1 - 5.1. Let k = -8/77 + -2/11. Suppose 0 = -p - m - m - 1, p + 15 = 5*m. What is the closest to k in -3, p, c? -3 Let k = -122 + 121. Which is the closest to k? (a) 1/3 (b) 5 (c) -0.2 c Let c be (-5 + 6)*(0 - -3). Suppose -27 - 3 = 6*p. Let y = p - -16/3. What is the closest to y in c, 2, 14? 2 Let g = -0.31 - -0.3. Which is the nearest to 0.1? (a) g (b) -0.1 (c) 0.1 c Let g be 96/(-528) + 42/110. Let u = 3.05 - 0.05. Let o = -103 - -205/2. What is the nearest to o in g, 2/7, u? g Let l = -65 - -62. Which is the closest to 0? (a) 5 (b) 0.5 (c) l b Suppose 536 = p + x - 4*x, -3*p + 5*x = -1588. Let l = -9901/19 + p. Which is the nearest to 0? (a) -7 (b) l (c) 0.4 b Let d = 1 + -0.7. Let f = -51 - 10. Let n = -64 - f. What is the closest to 1/2 in -5, n, d? d Let w = -22 + 12. Let l = w + -1. Let j be (-9)/(-15) + l/10. Which is the closest to j? (a) -3 (b) -2/9 (c) -4 b Let z = -253 + 252. Which is the closest to -2/7? (a) -5 (b) -3 (c) -4 (d) z d Let d = -10/191 + 512/2483. What is the nearest to -4 in 1/6, -5, d? -5 Let d = 713.2 + -713. Which is the closest to -31? (a) 0.5 (b) d (c) -2 c Suppose -17 = -4*t + x, t - 20 = -3*t + 4*x. Let d be 795/165 - 12/(-66). What is the nearest to -1/4 in t, 9, d? t Let v be 40/(-45) + (-11)/99. What is the closest to v in -3/19, 0.3, -9? -3/19 Let t = -2404 + 2405. What is the nearest to -1/60 in -2/7, 2, t? -2/7 Let t be ((-4)/(-28))/((-6)/(-84)). Which is the closest to t? (a) -1 (b) 0 (c) -0.1 b Let y = 0.22 - 0.2. Let g = -31.9 + 36.88. Let k = y + g. Which is the closest to -2/5? (a) -0.1 (b) 6 (c) k a Let l = -13 + 13.36. Let v = -0.06 + l. Suppose 23*t + 0*t - 23 = 0. Which is the closest to t? (a) v (b) 0.1 (c) 0.4 c Let c = 19.7 + -20. Let r = 182 + -1636/9. What is the nearest to -1 in r, 1, c? c Let p = 0.678 - 0.278. Let d = -292/1391 - -6/107. Which is the closest to -1/4? (a) p (b) d (c) 6/5 b Let p = 1376 + -1376.4. What is the nearest to -1/4 in 0.03, 3, p, 7? p Let f = 254/7 - 36. Let t = 34 - 33.95. What is the nearest to f in -3, t, 2/15? 2/15 Let q = 417.09 + -414. Let b = 3 - q. Let t = -0.01 + b. What is the nearest to 3 in 0.5, t, -3/4? 0.5 Suppose -11*a = -56 + 1. Let y(s) = s**3 - 4*s**2 - 6*s + 2. Let h be y(a). What is the nearest to h in 2, -0.4, 2/9? -0.4 Suppose 2*m - 5 = -0*q + q, -4*q = 3*m + 20. Let o = -3.35 - -1.35. Which is the closest to 0.1? (a) o (b) m (c) 0.3 b Let k = -112.9 - -112.4. Which is the nearest to -1? (a) 2/3 (b) -4/9 (c) k (d) -3 c Suppose -3*h = -4*p + 6*p - 52, -2*p = 2*h - 38. Let o be (-4)/h - (-17)/84. Which is the nearest to -0.2? (a) o (b) -2 (c) -0.06 a Let a = 1784/3 + -595. What is the closest to 0.4 in a, 15, 4, 5? a Let r = -14.9 + 12. Let k = r - -2.4. What is the nearest to 0 in k, -0.1, 3? -0.1 Let r = 2.6 - 3. Let w = 1699 - 1699.02. Which is the nearest to 1? (a) w (b) r (c) 0 c Let i = -0.024 - -0.024. What is the closest to i in 3, -0.2, 0? 0 Suppose 0 + 5 = -5*t, 4*o - t = 5. Which is the closest to 20? (a) -0.4 (b) o (c) 3/5 b Let z(f) = 10*f**3 + f**2 + 2*f - 2. Let t be z(1). Which is the closest to -0.2? (a) -0.3 (b) 5 (c) t a Let g = -57 - -57.39. Let r = 0.09 - g. Let t = 5 + -8. Which is the closest to 1? (a) -0.2 (b) r (c) t a Let s = 114 - 113.8. Let r be (-14)/20 + (-2)/(-10). What is the closest to 0.1 in s, 4/7, r? s Let m = -0.04 + 0.04. Let q = 406 - 2012/5. What is the nearest to q in -2, -0.5, m? m Let m = 444 + -439. Which is the closest to 0.1? (a) 1.5 (b) m (c) -15 (d) -0.4 d Let t = -19.38 + 19.8. What is the closest to 1 in t, 4, -5? t Let x = 5/24 - 7/8. Let q be (7*13/(-91))/((16/(-20))/(-2)). Which is the nearest to x? (a) -2 (b) q (c) -9 a Suppose -2*r + 0*r - 8 = -3*w, w + r = 6. Let s(o) = -1 + 3*o + 10 - w. Let g be s(0). Which is the nearest to 2? (a) g (b) 0.3 (c) -2/3 b Let l = -0.2 + -0.2. Let q = -1.57 + 67.57. Let u = 64 - q. Which is the nearest to 1? (a) l (b) 0.1 (c) u b Let l be (6 - -1)*13/26 - 3. Which is the closest to -0.1? (a) l (b) -4 (c) 18/5 a Let j = 27.6 - 39. Let v = 11.1 + j. Which is the nearest to v? (a) -1 (b) -5 (c) 4 a Let x be (32 - (-864)/(-27)) + (-18)/(-5) + -2. Let n = 0.1 - 0.1. Let j = 0.1 + n. Which is the nearest to j? (a) 0.2 (b) -0.4 (c) x a Let n = 8 + -8.01. Let s = 2.01 + n. Let u = 79 + -238/3. Which is the closest to s? (a) -3/2 (b) 0.4 (c) u b Let g = -20.3 - -20.3. What is the closest to -0.2 in 0.06, 2, g? g Let j = -10 + 12. Let y = -1.12 - -0.71. Let x = 0.11 + y. What is the closest to 0 in j, -4, x? x Suppose -2*g - d - 9 = 2*g, -g + d = -4. Let q = -180 + 20. Let z be (8/q)/(4/(-10)). What is the closest to g in 0.3, z, -1/4? -1/4 Let h = 1 + -4. Let d be (-24)/(-63) - (-2)/h. Let v be (3 - 154/14) + 3. Which is the closest to 1? (a) d (b) 0.3 (c) v b Let v = 305 + -1523/5. Which is the closest to v? (a) 1/7 (b) 0.5 (c) -2/13 b Let z = 1 + 2. Let l be 1341/(-298) - (2 + -6). What is the nearest to l in -2/11, -1, z? -2/11 Let t = 527 - 526.7. Which is the closest to -17? (a) t (b) 0.03 (c) 4 b Let z = 25 - 30.8. Let w = -5.5 - z. Which is the nearest to -1? (a) w (b) -2/7 (c) 5 b Let z = 0.7 - 0.2. Let w(n) = -n**3 + 15*n**2 - 14*n + 7. Let d be w(14). Let g be 18/4*d/21. What is the closest to -1/3 in g, z, 0? 0 Let r = 9 + -25. Let l = -16.4 - r. Which is the closest to 1? (a) -0.5 (b) l (c) -2/19 c Let t = 284 - 287. Let d = 38 - 192/5. What is the nearest to t in -4/3, 0.3, d? -4/3 Let r = -1886.99 - -1887. What is the closest to -5/8 in -3, r, -1? -1 Let g = -7.3 + 7. Let m = 6 + -14. Let j = 32 - 32.1. Which is the nearest to j? (a) m (b) g (c) 0.2 b Let l = 557/5 + -109. What is the closest to 1 in -2, l, 0.2? 0.2 Let u = -0.19 + 0.09. Suppose -48 + 10 = 4*y - 2*q, -4*y - 5*q - 73 = 0. Let g be (-1)/(-4)*y/(-9). Which is the nearest to -1/2? (a) u (b) 3/2 (c) g a Let v = 49 - 51.5. Let i = -2.6 - v. Which is the nearest to i? (a) 10 (b) 4 (c) 0.2 c Let f(w) = -w**3 + w**2 - 4*w + 3. Let a be f(2). Let r = -6 - a. Suppose 0 = -t + 4*i, -r*t + 0*t - 3*i - 15 = 0. What is the closest to 1/4 in -0.2, -2, t? -0.2 Let x = -4.9 - -145.9. Let g = x - 140.98. Which is the nearest to 0? (a) g (b) 3 (c) 1 a Let g = 230 + -231. What is the closest to g in 2/3, -0.06, -0.01? -0.06 Let s = -42.289 - 0.211. Let r = s - -43. Let z = -4.3 - -0.3. What is the nearest to -1/3 in z, r, -0.3? -0.3 Let d = 3 - 5. Suppose 56*m - 96 = 72. Let q be 3/(-2)*(-40)/105. What is the nearest to -0.1 in q, m, d? q Let z = 0.06 - 9.06. Let h = -8.6 - z. What is the closest to -1 in -1, h, -2? -1 Let g = -0.6 + 0.6. Let h(n) = n + 14. Let c be h(-18). Let w be (-17)/14 - 8/28. What is the closest to g in 0.2, c, w? 0.2
{ "pile_set_name": "DM Mathematics" }
hen two letters picked without replacement from xwwwzzzzxwwzzwzzww. 64/153 Four letters picked without replacement from {f: 2, y: 2, u: 1}. What is prob of picking 4 u? 0 What is prob of picking 1 p, 1 h, and 1 l when three letters picked without replacement from pppplaphhhphlplapplp? 8/57 Four letters picked without replacement from {c: 1, m: 2, z: 4, e: 2}. Give prob of picking 2 e and 2 z. 1/21 Calculate prob of picking 1 q and 2 d when three letters picked without replacement from {q: 1, d: 3}. 3/4 Four letters picked without replacement from {g: 4, w: 7}. Give prob of picking 4 w. 7/66 What is prob of picking 4 g when four letters picked without replacement from {a: 4, g: 6}? 1/14 What is prob of picking 1 a and 1 p when two letters picked without replacement from apvpprvprprrapa? 6/35 Two letters picked without replacement from puuuggpupmp. What is prob of picking 1 m and 1 g? 2/55 What is prob of picking 1 j and 1 a when two letters picked without replacement from {j: 4, x: 2, d: 1, p: 2, a: 3}? 2/11 What is prob of picking 3 z and 1 r when four letters picked without replacement from {z: 14, r: 5}? 455/969 Three letters picked without replacement from cmcmaccaaammmaaa. Give prob of picking 3 c. 1/140 What is prob of picking 1 c and 1 y when two letters picked without replacement from flufolyyulcy? 1/22 Calculate prob of picking 1 e, 1 k, and 1 z when three letters picked without replacement from {m: 4, k: 3, d: 1, e: 1, z: 2}. 2/55 Two letters picked without replacement from {l: 4, j: 5, q: 1, p: 1, g: 1, v: 1}. Give prob of picking 1 j and 1 l. 10/39 What is prob of picking 3 e and 1 s when four letters picked without replacement from eeeeeseeees? 28/55 Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, a: 2, p: 7}. 1/16 Three letters picked without replacement from {z: 2, r: 6}. What is prob of picking 1 r and 2 z? 3/28 What is prob of picking 1 f and 2 i when three letters picked without replacement from iifiddffdidfdf? 15/182 Two letters picked without replacement from ddddddddddyddddddddy. What is prob of picking 2 d? 153/190 What is prob of picking 2 h when two letters picked without replacement from zhhuhzuuuzu? 3/55 Three letters picked without replacement from {f: 3, w: 2, r: 2, j: 2}. Give prob of picking 1 r, 1 w, and 1 f. 1/7 Four letters picked without replacement from {f: 3, b: 4, a: 2, v: 1, d: 2, j: 2}. What is prob of picking 1 f, 1 d, 1 j, and 1 a? 24/1001 Three letters picked without replacement from {b: 5, h: 2, y: 6, p: 5, u: 1}. Give prob of picking 1 u, 1 y, and 1 b. 10/323 Four letters picked without replacement from {m: 2, l: 1, g: 1, z: 1, n: 2}. Give prob of picking 1 g, 1 z, and 2 n. 1/35 Four letters picked without replacement from gpphpgpgpgg. What is prob of picking 3 g and 1 p? 5/33 Three letters picked without replacement from huhtutluhttwhwn. What is prob of picking 1 n and 2 w? 1/455 Two letters picked without replacement from eejjytty. Give prob of picking 1 y and 1 t. 1/7 What is prob of picking 1 b, 2 z, and 1 s when four letters picked without replacement from bzzsse? 2/15 What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 1, q: 3}? 1/2 Three letters picked without replacement from {t: 4, a: 2, f: 8}. Give prob of picking 3 t. 1/91 What is prob of picking 1 h, 1 m, and 1 y when three letters picked without replacement from {y: 3, h: 4, m: 3, q: 3, f: 3}? 9/140 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 1, f: 7, i: 1, s: 3}. 1/22 Three letters picked without replacement from {s: 2, k: 3, x: 5}. What is prob of picking 2 s and 1 x? 1/24 What is prob of picking 1 m and 1 h when two letters picked without replacement from {g: 1, m: 1, h: 1}? 1/3 What is prob of picking 1 d, 1 s, and 1 p when three letters picked without replacement from sdkddspssdksddkddd? 15/272 Calculate prob of picking 1 e and 1 i when two letters picked without replacement from ekkwwiwkkkqwwww. 1/105 Three letters picked without replacement from {k: 9, i: 5}. What is prob of picking 1 i and 2 k? 45/91 Two letters picked without replacement from {x: 1, g: 2, b: 1, d: 3, n: 3, h: 1}. What is prob of picking 1 n and 1 d? 9/55 Two letters picked without replacement from {q: 6, w: 1, r: 2, o: 2, l: 5, j: 1}. Give prob of picking 1 q and 1 j. 3/68 Two letters picked without replacement from {s: 1, i: 3, d: 3, y: 3, m: 4, v: 1}. What is prob of picking 2 y? 1/35 Calculate prob of picking 2 t when two letters picked without replacement from ttte. 1/2 Three letters picked without replacement from {b: 3, k: 4, l: 4, o: 5, u: 3}. What is prob of picking 1 o, 1 l, and 1 u? 20/323 Four letters picked without replacement from ciissiciicci. Give prob of picking 2 s and 2 i. 1/33 Four letters picked without replacement from krkrjkrjr. What is prob of picking 3 r and 1 j? 4/63 Three letters picked without replacement from {y: 18, f: 1}. Give prob of picking 1 f and 2 y. 3/19 What is prob of picking 1 u, 1 m, and 2 e when four letters picked without replacement from {m: 4, u: 11, e: 3}? 11/255 Two letters picked without replacement from roiomoooomoixiimo. What is prob of picking 2 i? 3/68 Calculate prob of picking 2 k when two letters picked without replacement from kkggggkggkkgg. 5/39 Two letters picked without replacement from {f: 3, n: 13}. Give prob of picking 2 f. 1/40 Calculate prob of picking 2 f, 1 g, and 1 u when four letters picked without replacement from {f: 7, t: 1, b: 2, g: 3, u: 3, k: 2}. 21/340 Calculate prob of picking 1 k and 2 p when three letters picked without replacement from {p: 4, k: 2, x: 2, n: 1}. 1/7 Four letters picked without replacement from aaccccccccccaccccccc. What is prob of picking 3 c and 1 a? 8/19 Three letters picked without replacement from {p: 6, t: 2}. What is prob of picking 2 p and 1 t? 15/28 Calculate prob of picking 3 j and 1 f when four letters picked without replacement from zfehjfffjjezefffw. 1/340 Calculate prob of picking 1 u, 2 r, and 1 j when four letters picked without replacement from {r: 2, w: 1, u: 1, s: 1, j: 2}. 2/35 Two letters picked without replacement from qqtnqqttqqttqqqqt. What is prob of picking 2 t? 15/136 What is prob of picking 2 y and 1 w when three letters picked without replacement from wwykyiwykyyyxwk? 12/91 Two letters picked without replacement from fdmfmuozuozozfzm. What is prob of picking 1 f and 1 u? 1/20 Three letters picked without replacement from ncnncfbbcbbnncnc. Give prob of picking 2 c and 1 b. 1/14 Calculate prob of picking 1 v and 1 p when two letters picked without replacement from vfpwffvwvqqf. 1/22 Three letters picked without replacement from {q: 1, l: 6, j: 7, u: 3}. What is prob of picking 3 l? 1/34 Two letters picked without replacement from {s: 9, m: 11}. What is prob of picking 2 s? 18/95 Three letters picked without replacement from {p: 3, r: 9, i: 7}. What is prob of picking 2 i and 1 p? 21/323 Four letters picked without replacement from kpkkkppppkpkkpppkkpp. What is prob of picking 4 k? 42/1615 Calculate prob of picking 2 a and 2 v when four letters picked without replacement from avaavaaaa. 1/6 Calculate prob of picking 1 n, 2 f, and 1 y when four letters picked without replacement from {f: 2, y: 2, m: 4, b: 1, n: 5}. 10/1001 Calculate prob of picking 1 v and 1 a when two letters picked without replacement from yvayayvaaaviyvcyava. 35/171 Calculate prob of picking 2 j when two letters picked without replacement from {y: 2, j: 1, m: 1, p: 1}. 0 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, l: 2, g: 3, z: 6, o: 5}. 1/153 What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 4, p: 1, g: 4, l: 5, n: 5}? 20/171 Calculate prob of picking 1 x, 1 h, and 1 t when three letters picked without replacement from {l: 1, h: 1, x: 4, o: 4, d: 2, t: 2}. 2/91 What is prob of picking 3 t when three letters picked without replacement from {p: 3, y: 4, d: 1, t: 5, i: 5}? 5/408 Four letters picked without replacement from {q: 3, m: 3, x: 2}. Give prob of picking 1 m and 3 q. 3/70 Calculate prob of picking 2 l when two letters picked without replacement from wllllllw. 15/28
{ "pile_set_name": "DM Mathematics" }
-35) - -44 7 What is (9 + -16 - (11 - -9 - 16)) + -61? -72 24 + -6 + (-7 - -12) - -17 40 What is (-15 - (-54 + 18)) + -18 - 11? -8 What is -54 + -18 + 93 - 18? 3 Evaluate -74 + 0 + (3174 - 3041). 59 Calculate 10 + 3 + -13 + (8 - -3) + 89 - 2. 98 Evaluate (-2 - ((6 - -2) + -1 + (130 - 154))) + -9. 6 75 - (65 + -71) - (-4 - 1) - 4 82 What is 84 + -163 - -90 - (73 + -1)? -61 -7 + -5 - (-23 + 1 + (1 - -3)) 6 Evaluate 11 - 52 - -96 - 10. 45 Evaluate 134 - 195 - (-9 - 21). -31 Evaluate 45 + -44 + (-3 - (8 - 3 - 4)). -3 (12 + 14 - (-8 + 18)) + -55 -39 What is the value of 354 + -338 - (-39 - 5)? 60 Evaluate 1 + 7 + -13 + (49 + -11 - 18) + 11. 26 81 - (12 - (67 - 82)) 54 16 + (-68 - (-26 - -12)) + -5 -43 What is the value of (92 - -57) + -194 - -97? 52 59 + -23 + -110 + 211 + -15 + 0 122 21 + -7 - (-12 - (-53 + -2)) -29 Calculate -8 - (7 - 8 - 6) - (-32 + -14). 45 Evaluate -25 - -21 - ((-3 - -2) + -27 + -19). 43 39 + 85 + -43 + -52 29 Evaluate (80 - 14) + 32 - (23 - -2 - 0). 73 What is (-37 - 3) + 236 + -252 + -22? -78 Evaluate -32 - (-578 + 621 + (-40 - 0)). -35 Evaluate 0 - (14 - ((-34 - -17) + 22)). -9 What is the value of 6 + -3 - (85 - (19 - (5 - (-1 - 1))))? -70 What is the value of 2575 - 2455 - (-5 + -4 + 22)? 107 Calculate (3 + -10 - 4) + (-26 - (-94 - -46)). 11 Calculate 5 + (0 - 12 - (23 - 32)) + -55 + -4. -57 What is -484 - -449 - (107 + -16)? -126 What is the value of 440 - 425 - (52 - 0) - (-1 + 10) - -8? -38 What is the value of 4 + -2 + (-101 - -101) + -24? -22 Calculate (80 - -9 - 38) + -54. -3 Calculate (-36 - (19 - 31)) + 81. 57 What is -827 - -875 - (118 + 1)? -71 What is the value of 10 + (-16 - 4) + -34 + 55 + -14? -3 What is (-18 - -2) + (-2 - -2 - (-80 - -100))? -36 Calculate (11 - 3 - 29 - -9) + 67. 55 -5 + 78 + (7 - (61 + -31)) 50 Calculate -115 + 0 - (5164 - 5202). -77 Calculate -97 - (-5 + -57 - -21). -56 Evaluate -29 + 25 + 5 + -9 - (0 + 3 - 11). 0 -111 - 0 - (-17 - -17) - (-1445 + 1451) -117 1 + -13 + (65 - 82) + 48 19 What is -40 + 51 + (14 - 58) + 11? -22 Evaluate 25 + 3 + -47 + 66. 47 What is the value of (56 - 58 - (-5 - -2)) + -35 + -26? -60 What is the value of -3 + -8 + 0 + 0 + 4 + -9? -16 Evaluate 129 + -161 + -111 + 147. 4 Calculate (18 - (20 + 7)) + -1 + 17 + 0 + -28. -21 What is the value of -413 + 380 - ((-7 - -5) + 14)? -45 What is the value of 55 + -4 + -10 + (-2 - -15) + -4? 50 Calculate 37 - 0 - (-331 + 157 + 164). 47 Calculate 45 - (16 + 40) - 45. -56 Calculate (-56 - -102) + -36 + -2. 8 What is the value of -6 + (-17 - (-5 - -8 - -37))? -63 What is -5 + 20 + ((17 - 5) + -16 - 52)? -41 Evaluate -5 + -88 - (36 - (-7 + 34)). -102 Calculate 2 + -35 + -6 - (86 + -45 - 63). -17 What is -22 + -1 - (-11 + 15 + -9 + 10)? -28 What is (5 - -48) + (-3 - (-5 + -3) - (6 + -1))? 53 Evaluate -3 - (97 - 85) - (3 + -1 - -15). -32 Evaluate (-9 - -57 - 13) + -19 - 58. -42 Calculate (0 - ((8 + 5 - -35) + -1)) + 1 + -13. -59 What is -87 + (-6 - -5) - (7 + (-28 - (-9 + -7)))? -83 Evaluate 32 - 0 - (-306 + 272). 66 What is -53 - (-139 - (-19 - -14))? 81 Calculate (-3 - 0) + (71 - 37) + -51. -20 What is the value of (-42 + 3 - -16) + 48 + 43? 68 What is the value of 0 + -4 + -111 + 109 + -31 - -10? -27 684 + -824 - (-20 + (-26 + 23 - (0 - 8))) -125 What is -112 + (-106 - -204) + 46? 32 Evaluate 61 - (-8 - -1 - (497 + -513)). 52 What is the value of -50 + 188 + -152 + (1 - (1 - 28))? 14 What is the value of -8 + 11 - (-1184 + 1145)? 42 -3 + 2 - (356 + -374) 17 What is the value of (100 - 86) + (-51 - 5) + 9 + 2? -31 Evaluate 43 + -6 + 2 + -18 + 40. 61 (-55 + 43 - -34) + -10 - 42 -30 Calculate (-36 - -91) + 4 + -23. 36 Calculate (2 - 9 - -15) + 5 - (-45 - -100). -42 Calculate -12 + 34 + -3 + -16 + 4. 7 Calculate -84 + 81 - (-2 + (9 - 2 - -35)). -43 What is -3 + -65 - (-183 - -162) - -34? -13 Evaluate 24 - 11 - -9 - (-16 - -17). 21 What is the value of (-11582 - -11597) + (1 + -33 - -2)? -15 Calculate 1 + (50 - 77) - -21. -5 Calculate 273 + -264 - (-2 + (-13 - -56)). -32 What is the value of 136 + (-13 + -24 - 91)? 8 What is the value of 27 - (93 - (-27 - 42))? -135 -7 + -13 + 26 - (20 + -28) - 20 -6 What is 32 - 18 - (-54 + -17 + -6 + 18) - -11? 84 Calculate (3 + -26 + -3 + 10 - -7) + 8. -1 Calculate (-4 - -10) + -14 - 33. -41 What is 13 - (1 - 3 - (7 - 1) - (7010 - 6948))? 83 24 + -82 + 71 - (-1 - 118) 132 What is the value of -23 + 4 + -2 - (-2 - 8)? -11 Evaluate -18 - -9 - -11 - (-35 + -3 + -12). 52 Evaluate 142 + (-36 - (62 + -21)). 65 Evaluate 45 + -57 + (-36 - -78). 30 What is 15 + 6 - 0 - (165 - 95)? -49 What is the value of -1 + -1 - (33 + 11 + -125 - (11 + 10))? 100 What is the value of 5 + (3 - 7 - -9 - -3) - (145 - 61)? -71 6 + (-14 - (-17 + -15) - 55) -31 What is the value of 85 + -92 + -1 + 87 + (5 - 5)? 79 Calculate (-4 + 3 - -12) + (-220 - -226). 17 Evaluate -27 + -17 + 10 + 44 - 75. -65 Evaluate 85 + (557 + -569 - (-1 + -3)). 77 Evaluate -28 + 4 - (-78 + -1 - -86). -31 Calculate 6 + (-21 - -18) - ((-17 - 106) + 17). 109 Calculate 55 + -21 + -22 + (1 + 21 - 4). 30 Evaluate 12 + 0 - (135 - 145) - (-1 - -4). 19 Calculate -89 - (83 + -118 + 47). -101 0 + -6 + (62 - (52 + 9)) -5 -26 - ((-10 - (-3 + 0 - -4)) + 18) -33 Evaluate (-3 + -21 - 0 - -24) + -29. -29 (2 + -71 + -1 - 0) + (36 + -50 - -25) -59 What is the value of (1 + 4 + 8 - 5) + (8 - (-48 - -203))? -139 Calculate (-687 - -694) + (-11 - (-1 + -1)) + 20 + -3. 15 Evaluate (-7 - ((-3 - -1) + 22)) + -6 + (4 - -1). -28 Calculate (-1 - -30) + -381 + 359 + 99 + 3. 109 Calculate -38 + 26 - (5 - -3) - 9 - 9. -38 Calculate (-15 - (-20 - (-28 + 12))) + 6. -5 What is the value of (65 - -2) + -3 - (-8 - (4 - 3))? 73 What is (84 - 98) + -43 + 49? -8 What is -28 - 0 - (-40 - (-31 + 21) - -34)? -32 Evaluate (-9 - 14) + 35 - 42. -30 Calculate -13 + ((-18 - -4) + 24 - (-2 + 4)). -5 What is the value of 255 + -49 - 124 - 111? -29 Calculate -95 - (-204 - -95) - (0 + 3). 11 What is 7 + -21 + 20 + (33 - -5 - 7)? 37 What is the value of 55 - (-75 + 33 + 64)? 33 What is -10 + -2 - (-12 + 2) - -35? 33 Calculate (27 - 1) + (78 - 128). -24 3 - 6 - 8 - (32 + (-52 - -16) + -2) -5 Evaluate (67 - (12 + 11 + -22)) + (29 - 38). 57 Evaluate -4 + -1 - (-63 + (0 + -3 - -25) - 19). 55 -51 + (8 - -12) - -21 -10 -3 + 9 - (15 + 51 + 1 + -10) -51 What is 10 - 16 - (73 - 99)? 20 What is the value of (81 - 1) + -160 + 17 + 124? 61 Evaluate -22 + 23 + 14 + -17 + 11. 9 What is 7 + (-44 - 18) + -5 + (5 - -5)? -50 Calculate ((-55 - -67) + -15 + -2 - (7 - -1)) + 111. 98 Calculate 51 + -38 + -63 - -1. -49 Evaluate 0 + 19 + -26 + -10 + 27 + (-1 - -99). 108 (-35 - (-10 - 0)) + -203 + 200 -28 Calculate (77 + -69 - -3) + (-4 - -3). 10 109 - 14 - (-9 + -14 + (14 + 5 - 10)) 109 Evaluate 35 + (-25 - -82 - 34) + -23. 35 What is the value of 5 + -16 - (-7 + -8 + 3) - 43? -42 (18 - 1) + (82 - 91) - 12 -4 What is -11 - (-27 + -3 + (13 - -8) + -4)? 2 What is 34 + -16 + -13 + 0 + (-9 - 6)? -10 Calculate 332 + -432 + (-12 - -137). 25 What is -58 + (-52 - 51 - -53)? -108 Evaluate 29 - (15 - (28 + -45)). -3 Calculate 3 - (-5 + 13 + -32) - -48. 75 What is the value of 15 - ((281 - 287) + -4 + 19)? 6 (149 - 77) + -76 + (2 - (-39 - -1)) 36 What is (-1 - (3 + -6) - -3) + (-331 - -328) + 32? 34 26 + -7 + (-105 - -52) -34 What is (8 - 12) + (-27 + (8 - 6 - 15) - 2)? -46 Calculate 4 - 14 - (-5 + (-5 - -8) - (-1 + 9)). 0 Evaluate (5122 - 5207) + 67 + -1. -19 2 + (-11 - -2) + (-98 - -1) -104 What is the value of -1 + 2 - -1 - -48 - (91 - -325 - 412)? 46 Evaluate -201 - (-39 + -12) - (-32 - 2). -116 Evaluate -14 - 17 - (7 - (4 - 3 - (-4 + 0))). -33 Evaluate (68 - 24) + 3 + -85. -38 What is 4 + 14 - (22 + -16 + 42)? -30 What is -14 + 37 + (36 - (-49 + 59))? 49 Evaluate -60 + 70 - (-61 - -7). 64 What is the value of -4 - (-10 + 9 - (-8 - 4))? -15 -4 + 102 - 16 - (129 + -84) 37 Calculate -12 + (-24 - -11 - -10) + -26 + 3. -38 Calculate 91 - ((-5 - (-15 + 0)) + -105 + 98). 88 Evaluate -21 - (63 + -11 + (-5 - 7)). -61 Evaluate (16 + (-18 - -7) - 11) + 20. 14 What is 21 + -21 + 83 - 7? 76 What is 60 + (-19 - (126 + -234))? 149 Calculate -1 - -20 - (207 + -161 - -12). -39 What is (-4 - (13 + -25 + 12) - 0) + (55 - -8)? 59 What is the value of 1 - -1 - -31 - (18 + -42 + 8 + 26)? 23 Evaluate (-82 - 1) + (5036 - 4936). 17 What is the value
{ "pile_set_name": "DM Mathematics" }
r**2 + 2*r**2 - r**3 - 3*r**2 - 3 + 3*r. What is the lowest common multiple of f(-4) and 9? 9 Let g(c) be the third derivative of c**4/8 - 7*c**3/6 - 2*c**2. Let f(v) = -v**3 + v**2 - v - 1. What is the lowest common multiple of f(-1) and g(7)? 14 Let p(w) = -w + 2. Let d be p(5). Let z = 1324 + -7901/6. What is the common denominator of d/(-9) - 94/(-132) and z? 66 Let t be 110/168 - (-6)/(-9). Let w = t - -25/84. Calculate the common denominator of -51/10 and w. 70 Let n = 24 + -23. What is the least common multiple of n and (6/(-5))/((-6)/40)? 8 Let q(m) = -m + 1. Let i(u) = 2*u - 3. Let j(b) = i(b) + q(b). What is the least common multiple of 6 and j(3)? 6 Let w be (-28)/(-6)*(3 - 9). Let t be 3/(9/(-12) + 0). Calculate the common denominator of 1/t*(-1 - w) and 79/20. 20 Let w(n) = -n + 7. Let q be w(0). Suppose q + 1 = 4*g. What is the least common multiple of 14 and g? 14 Suppose 7*s = 4*s + 96. Find the common denominator of -2*(114/8 - -1) and 14/(-35)*(-1010)/s. 8 Suppose 5*l = -25, 0 = -w + l + l + 940. Suppose 7*z + 5*h + w = 2*z, 0 = 3*z + 4*h + 554. What is the common denominator of 2/40*(-8 - z) and 83/4? 20 Let t = -693555277601268 + 703265114869802591/1014. Let p = 62507004 - t. Let w = -126/169 - p. Find the common denominator of w and -62/3. 6 Calculate the least common multiple of (15/2)/(15/10) and 32. 160 Suppose -3 = 11*t - 14. Let i = 9 + -5. Suppose -3*s + 2*o + 4 = -0, 0 = -4*s - i*o + 32. Calculate the least common multiple of t and s. 4 Suppose 4*l = 2*m + 2*l - 42, 5*l = -4*m + 39. Let k = -4 + 22. Calculate the least common multiple of k and m. 144 Calculate the least common multiple of -4 - ((-4 - 0) + -8) and 2. 8 Suppose -4*j - 3 = -51. Suppose 2*r - r = j. Calculate the least common multiple of r and 14. 84 Let u = 10 - 13. Calculate the common denominator of 61/u - 1/(-3) and 95/8. 8 Let k = -27 + 31. What is the smallest common multiple of 4 and k? 4 Let n = -97777/14 - -6990. What is the common denominator of n and 63/148? 1036 Let o = 48 + -41. What is the smallest common multiple of 3 and o? 21 Let g = 7 - -1. Suppose -2 = 2*u - g. Calculate the least common multiple of u and 4. 12 Suppose -5*o + 1355 = -5*q, -7*q + 3*q = 2*o - 512. Find the common denominator of o/12 + (-4 - -2) and 63/22. 66 Let q(g) = g**2 - 18*g + 33. What is the least common multiple of q(16) and 2? 2 Let d = 16 + -22. Let m be 0 + -2 + d + -1. Let h = m + 23. What is the smallest common multiple of 20 and h? 140 Let m be 13990/(-140)*(-2)/62. Let t = 5/62 - m. What is the common denominator of -7/8 and t? 56 Let t = -20397/160 - -626/5. Calculate the common denominator of t and 61/6. 96 Suppose g = -4*g - 5*d - 10, -g + 10 = -3*d. Calculate the lowest common multiple of g and 11. 11 Calculate the common denominator of ((-398)/(-36) - 1) + -4 and -19/20. 180 Let a(k) = -k**3 + 9*k**2 + 5*k - 11. Let z = 7709/670 - 2/335. Find the common denominator of a(9) and z. 2 Let a(s) = s**3 + 6*s**2 + 2. Suppose 0 = -3*y - 18. Let r(m) = -m**2 + 7*m - 5. What is the least common multiple of r(6) and a(y)? 2 Let b(v) = -v**2 + 6*v - 2. What is the smallest common multiple of 18 and b(2)? 18 Suppose j - 7 = 2. What is the lowest common multiple of 5 and j? 45 Suppose 5*w + 50 = -4*m, -3*w + 2*m - 23 = 3*m. What is the common denominator of 94/w*(-7)/(-21) and (-94)/8 - (-2 + 4)? 36 Let i be 4 - ((-1)/1 + 4). Suppose 4*r = u - 4*u + i, -4*r - 5*u = -7. Calculate the common denominator of 9/7 and r. 7 Suppose 11 = -4*b - h, 2*h = -b + 7*h - 29. Let i(t) = -5*t - t + 5*t**2 + 3 - 5 - 6*t**2. What is the lowest common multiple of 5 and i(b)? 30 Let l = -1 + 3. Suppose l*u - 16 = u. What is the least common multiple of 20 and u? 80 Let k = 4523 - 63411/14. Let i be (-2)/9 + (-5280047)/(-198). Let x = i - 26662. Calculate the common denominator of x and k. 154 Let k = -2 - -6. Suppose 0 = -k*t - 3*u + 17, -2*t + 3*u = -0*t + 5. What is the lowest common multiple of t and 10? 10 Let j = 2/721 - -9355/6489. What is the common denominator of 2/(-7) + (-201)/56 and j? 72 Let z = 11 - 4. Calculate the lowest common multiple of 1 and z. 7 Let l = -551/286 + -11/13. Let d be (412/22)/((-68)/(-49)). Let s = d - -1/187. Find the common denominator of l and s. 22 Find the common denominator of ((-12)/(-160))/((-3)/206) and 107/18. 180 Let y = -4 - 4. Let a(x) = x**3 + 8*x**2. Let g be a(y). Let z = 9 + g. Calculate the least common multiple of z and 4. 36 Suppose -2*s = -17 - 7. Calculate the least common multiple of s and 4. 12 Let l be (-8)/(-24)*(-1 - -1). Suppose 2*z = -l*z + 14. What is the lowest common multiple of z and 3? 21 Suppose -4*s + 4*f + 32 = 0, 4*s + 2*f = 12 + 8. What is the smallest common multiple of 4 and s? 12 What is the common denominator of 162/(-30) + -4 - 2 and 47/4? 20 Let s be 7 - (-3 + 1 + 0). Suppose 0*g - 30 = 3*h + 3*g, 3*g = 6. What is the smallest common multiple of 16/h*s/(-2) and 8? 24 Suppose 21 - 3 = 3*o. What is the least common multiple of 1 and (-2)/((0 + -3)/o)? 4 Let k = -12791/18 - -3127/9. Let s = k + 17339/48. Calculate the common denominator of 19/6 and s. 48 Let q(l) = -l + 10. Let p be q(8). Suppose v - 6 = -p*v. Suppose -v*k = 2*k - 24. Calculate the least common multiple of k and 1. 6 Let w = -927/16 - -12689/240. Find the common denominator of -18/5 and w. 15 Let y = 195603/16 - 12221. Find the common denominator of y and (6/20)/((-12)/214). 80 Let u be ((-813)/30)/((-1018)/(-111)). Let t = u - -5/1018. Let w = -277/210 + -648/35. What is the common denominator of t and w? 60 Let q = 5 - 1. Suppose q*l = -4*j + 2*j + 18, -3*l + 3*j + 9 = 0. What is the smallest common multiple of l and 6? 12 Suppose 13 - 49 = -3*c. Suppose -4*l = -l - 3. What is the least common multiple of c and 5/l - (-5 - -8)? 12 Find the common denominator of ((-515)/(-15))/(-1 + 3) and -19. 6 Let m(b) = b**2 + 2*b. Let q be m(-2). Suppose 0 = 2*x - q - 8. Let z(y) = y**2 - 3*y. What is the smallest common multiple of z(6) and x? 36 Suppose 13 = 4*k + 5. Suppose -5*c + k*c = 3. Calculate the common denominator of c/3 + (-668)/48 and -27/16. 16 Suppose 0*j - 20 = -2*j. Calculate the smallest common multiple of 10 and j. 10 Let o = -1148/3 - -377. What is the common denominator of o and 46/11? 33 Let n = -697/462 - -2/231. Calculate the common denominator of n and -17/7. 14 Suppose 4*v - h - 11 = 0, 2*v = -v - 3*h - 3. Suppose -v*q + 49 = -5*u + 127, u = 5*q + 11. Calculate the common denominator of u/18*117/(-6) and -39/10. 30 Suppose 10*n - 13*n = -30. Calculate the smallest common multiple of n and 5. 10 Let j = -13 + 19. What is the smallest common multiple of j and (-2 + 12)/(0 - -1)? 30 Let c = 14 - 8. Calculate the least common multiple of c and 4. 12 Suppose -k - 3 = -0*k. Let m = -3 - 6. What is the lowest common multiple of -1 - (-1)/(k/m) and 20? 20 Let d = 1797 + -23199/13. Let l = 973/52 - d. Find the common denominator of l and -15/8. 8 Let b(v) = 3*v**2 + 8*v + 5. Let j be b(-8). Let h = 2407/18 - j. What is the common denominator of h and 133/18? 18 Let m = -40 - -41. What is the lowest common multiple of 1 and m? 1 Suppose -w - 5*m = -0*w - 22, -5*w + 54 = -3*m. What is the lowest common multiple of w and 14? 84 Let x be -4 + 0 + 2 + 4. Find the common denominator of 5/22 and (x + (-197)/(-8))/(-3). 88 Let n = -58 + 80. Calculate the least common multiple of n and 4. 44 Let n = -38 - 28. Let o = -106 - n. What is the least common multiple of 2 and o/(-6) + 2/(-3)? 6 Let d(a) be the second derivative of -a**3/2 - 3*a**2/2 + a. Calculate the lowest common multiple of d(-7) and 10. 90 Let y be ((0/(-2))/(-1))/(-2). Suppose -4359 = 3*z + 3*m, y = -5*z - 5*m + 2*m - 7259. Let h = z - -20289/14. What is the common denominator of -99/10 and h? 70 Let p = -6300 + 37951/6. Find the common denominator of 71/8 and p. 24 What is the smallest common multiple of 9 and 18/(5/6 - (-2)/12)? 18 Let p be (15/21)/(2/(-886)). Let t = p - -26195/84. What is the common denominator of -67/8 and t? 24 Suppose 1 + 8 = y. What is the smallest common multiple of y and 3? 9 Let u = 27 + -32. Let l(v) be the first derivative of -v**3/3 - 3*v**2 + v - 1. What is the least common multiple of l(u) and 2? 6 Let c = 328 + -601. Let l be -3 + c/(-5 + 2).
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 1105? 5, 13, 17 List the prime factors of 63919. 41, 1559 What are the prime factors of 28852? 2, 7213 What are the prime factors of 4607? 17, 271 What are the prime factors of 109536? 2, 3, 7, 163 List the prime factors of 500. 2, 5 What are the prime factors of 12196? 2, 3049 List the prime factors of 433. 433 What are the prime factors of 3000? 2, 3, 5 What are the prime factors of 2072? 2, 7, 37 List the prime factors of 746. 2, 373 What are the prime factors of 1275? 3, 5, 17 What are the prime factors of 11927? 11927 List the prime factors of 52417. 23, 43, 53 What are the prime factors of 2406? 2, 3, 401 What are the prime factors of 594? 2, 3, 11 What are the prime factors of 9005? 5, 1801 List the prime factors of 1739. 37, 47 List the prime factors of 25989. 3, 8663 What are the prime factors of 695? 5, 139 List the prime factors of 84400. 2, 5, 211 List the prime factors of 113342. 2, 56671 What are the prime factors of 149467? 137, 1091 What are the prime factors of 47? 47 List the prime factors of 15875. 5, 127 What are the prime factors of 2409? 3, 11, 73 List the prime factors of 8824. 2, 1103 What are the prime factors of 26400? 2, 3, 5, 11 What are the prime factors of 2491? 47, 53 List the prime factors of 81430. 2, 5, 17, 479 List the prime factors of 67100. 2, 5, 11, 61 List the prime factors of 899. 29, 31 List the prime factors of 35934. 2, 3, 53, 113 What are the prime factors of 2015? 5, 13, 31 List the prime factors of 848. 2, 53 What are the prime factors of 59631? 3, 11, 13, 139 List the prime factors of 5515. 5, 1103 List the prime factors of 2859. 3, 953 List the prime factors of 1161. 3, 43 What are the prime factors of 38913? 3, 7, 17, 109 What are the prime factors of 1586? 2, 13, 61 List the prime factors of 46775. 5, 1871 List the prime factors of 32443. 32443 List the prime factors of 4441. 4441 List the prime factors of 65016. 2, 3, 7, 43 What are the prime factors of 14454? 2, 3, 11, 73 What are the prime factors of 841? 29 List the prime factors of 9045. 3, 5, 67 What are the prime factors of 3153? 3, 1051 List the prime factors of 966. 2, 3, 7, 23 What are the prime factors of 413? 7, 59 List the prime factors of 818. 2, 409 List the prime factors of 6397. 6397 What are the prime factors of 64090? 2, 5, 13, 17, 29 List the prime factors of 14024. 2, 1753 What are the prime factors of 2302? 2, 1151 What are the prime factors of 44884? 2, 7, 229 What are the prime factors of 21429? 3, 2381 List the prime factors of 16375. 5, 131 What are the prime factors of 26828? 2, 19, 353 List the prime factors of 9396. 2, 3, 29 What are the prime factors of 15504? 2, 3, 17, 19 List the prime factors of 3152. 2, 197 What are the prime factors of 599? 599 What are the prime factors of 14472? 2, 3, 67 What are the prime factors of 4092? 2, 3, 11, 31 What are the prime factors of 1739? 37, 47 What are the prime factors of 484? 2, 11 List the prime factors of 3296. 2, 103 List the prime factors of 767. 13, 59 List the prime factors of 862. 2, 431 List the prime factors of 4192. 2, 131 What are the prime factors of 88823? 7, 12689 List the prime factors of 1623. 3, 541 List the prime factors of 4985. 5, 997 List the prime factors of 1539. 3, 19 What are the prime factors of 3094? 2, 7, 13, 17 What are the prime factors of 11085? 3, 5, 739 List the prime factors of 9955. 5, 11, 181 List the prime factors of 50206. 2, 13, 1931 What are the prime factors of 7019? 7019 What are the prime factors of 1227? 3, 409 What are the prime factors of 364? 2, 7, 13 List the prime factors of 575. 5, 23 What are the prime factors of 2885? 5, 577 What are the prime factors of 2514? 2, 3, 419 What are the prime factors of 500? 2, 5 What are the prime factors of 14287? 7, 13, 157 List the prime factors of 2838. 2, 3, 11, 43 List the prime factors of 55773. 3, 6197 List the prime factors of 40623. 3, 11, 1231 What are the prime factors of 4118? 2, 29, 71 List the prime factors of 8519. 7, 1217 List the prime factors of 76. 2, 19 What are the prime factors of 685? 5, 137 List the prime factors of 4534. 2, 2267 What are the prime factors of 1556? 2, 389 List the prime factors of 970. 2, 5, 97 What are the prime factors of 870? 2, 3, 5, 29 List the prime factors of 18434. 2, 13, 709 List the prime factors of 2373. 3, 7, 113 What are the prime factors of 9328? 2, 11, 53 What are the prime factors of 11588? 2, 2897 What are the prime factors of 13892? 2, 23, 151 What are the prime factors of 5569? 5569 What are the prime factors of 12203? 12203 List the prime factors of 1472. 2, 23 List the prime factors of 818. 2, 409 List the prime factors of 3084. 2, 3, 257 What are the prime factors of 3247? 17, 191 List the prime factors of 30663. 3, 3407 List the prime factors of 1401. 3, 467 What are the prime factors of 1083? 3, 19 List the prime factors of 18245. 5, 41, 89 What are the prime factors of 221? 13, 17 List the prime factors of 645. 3, 5, 43 What are the prime factors of 1404? 2, 3, 13 List the prime factors of 1435. 5, 7, 41 What are the prime factors of 5929? 7, 11 List the prime factors of 1311. 3, 19, 23 List the prime factors of 698. 2, 349 List the prime factors of 2209. 47 List the prime factors of 1783. 1783 What are the prime factors of 60675? 3, 5, 809 What are the prime factors of 920? 2, 5, 23 What are the prime factors of 1452? 2, 3, 11 List the prime factors of 404. 2, 101 What are the prime factors of 16292? 2, 4073 List the prime factors of 7. 7 List the prime factors of 8902. 2, 4451 What are the prime factors of 431? 431 What are the prime factors of 4669? 7, 23, 29 List the prime factors of 2465. 5, 17, 29 What are the prime factors of 39375? 3, 5, 7 List the prime factors of 1091. 1091 List the prime factors of 149165. 5, 29833 List the prime factors of 8030. 2, 5, 11, 73 List the prime factors of 4581. 3, 509 What are the prime factors of 3229? 3229 What are the prime factors of 4367? 11, 397 What are the prime factors of 4665? 3, 5, 311 What are the prime factors of 16815? 3, 5, 19, 59 What are the prime factors of 19507? 19507 List the prime factors of 25422. 2, 3, 19, 223 What are the prime factors of 23043? 3, 7681 List the prime factors of 78690. 2, 3, 5, 43, 61 List the prime factors of 12018. 2, 3, 2003 What are the prime factors of 2025? 3, 5 List the prime factors of 12770. 2, 5, 1277 List the prime factors of 665. 5, 7, 19 What are the prime factors of 43342? 2, 13, 1667 What are the prime factors of 2936? 2, 367 List the prime factors of 12027. 3, 19, 211 List the prime factors of 710. 2, 5, 71 What are the prime factors of 68? 2, 17 List the prime factors of 62964. 2, 3, 11, 53 List the prime factors of 1112. 2, 139 List the prime factors of 1038. 2, 3, 173 List the prime factors of 2069. 2069 What are the prime factors of 6411? 3, 2137 List the prime factors of 417. 3, 139 What are the prime factors of 5623? 5623 List the prime factors of 4601. 43, 107 What are the prime factors of 1443? 3, 13, 37 What are the prime factors of 56783? 56783 What are the prime factors of 13245? 3, 5, 883 List the prime factors of 1798. 2, 29, 31 List the prime factors of 11776. 2, 23 List the prime factors of 11791. 13, 907 List the prime factors of 109426. 2, 54713 What are the prime factors of 121889? 121889 What are the prime factors of 25480? 2, 5, 7, 13 What are the prime factors of 487? 487 What are the prime factors of 22855? 5, 7, 653 List the prime factors of 36889. 37, 997 List the prime factors of 1059. 3, 353 List the prime factors of 5679. 3, 631 What are the prime factors of 3006? 2, 3, 167 What are the prime factors of 16514? 2, 23, 359 What are the prime factors of 135? 3, 5 What are the prime factors of 766? 2, 383 List the prime factors of 47204. 2, 11801 List the prime factors of 9632. 2, 7, 43 What are the prime factors of 1065? 3, 5, 71 What are the prime factors of 2031? 3, 677 What are the prime factors of 118283? 11, 10753 What are the prime factors of 91002? 2, 3, 29, 523 List the prime factors of 933. 3, 311 List the prime factors of 966. 2, 3, 7, 23 What are the prime factors of 67? 67 What are the prime factors of 43393? 7, 6199 List the prime factors of 115622. 2, 13, 4447
{ "pile_set_name": "DM Mathematics" }
ncreasing order. -2/3, k, m Let a be 15/2 + 14 + 198/(-12). Let r = -6 + 4. Sort r, a, 2 in descending order. a, 2, r Let m be ((12/(-14))/((-19)/(-399)))/1. Let t = m - -16. Let w = 0 + 1. Put t, 3, w in descending order. 3, w, t Let f = 2732 + -2731.7. Sort 3, 4, -157, f in increasing order. -157, f, 3, 4 Let l = 806 + -791. Let i be 3*(l/(-9) + 1). Sort -6, i, 3, 2 in ascending order. -6, i, 2, 3 Let y = -3308 + 3304. Let x be (-4 - -1) + (2 - 1). Let r be (4/(-4))/(x/10). Put 4, y, r in increasing order. y, 4, r Let b(n) = -n**3 + 16*n**2 + 29*n - 231. Let u be b(17). Sort 2, 1, -2, u in descending order. 2, 1, -2, u Suppose -35 = 25*f - 26*f. Let t be ((f/7)/(-10))/((-6)/(-4)). Let v = -2 + -2. Sort -6, v, t in decreasing order. t, v, -6 Let t be 3*(8/66)/2. Suppose 0 = -339*q - 385 + 1968 + 112. Put t, -4, q in increasing order. -4, t, q Let k = 2341/516 - 55/12. Suppose -4*i = -44*g + 47*g + 27, -3*g - 18 = i. Put g, -3, k in decreasing order. k, -3, g Suppose 0 = -2*v + 9*v + 3276. Let s = 913/2 + v. Let l = s + 12. Sort -5/4, l, -0.3. -5/4, -0.3, l Let t = 11.8 - -9.3. Let c = 21 - t. Put c, -1, 0 in descending order. 0, c, -1 Let k = 0.10006 + -4.86106. Let p = -0.239 + k. Sort -1/3, p, 1 in increasing order. p, -1/3, 1 Suppose 0 = -4*p + 2 + 2. Let c(u) = -u**2 - 24*u - 116. Let q be c(-16). Suppose 4*l = 0, -3*a + 15 = -9*l + q*l. Put -3, p, a in decreasing order. a, p, -3 Let n = 21.076 - 20.3. Let u = 1.29 - n. Let x = u - 0.014. Sort -2, 0.4, x, 1/14 in descending order. x, 0.4, 1/14, -2 Let a = 17.29 - 22.29. Suppose -k - k = 2. Sort k, 7, a, 2 in descending order. 7, 2, k, a Let w be (-23 - 4) + 20806/515. Put -4/3, -3, 4/5, w in decreasing order. w, 4/5, -4/3, -3 Let s = 1661.1 + -1657.1. Let a = 47.58 + -0.58. Let c = a + -47.38. Put c, 0.2, s, 0 in decreasing order. s, 0.2, 0, c Let a = 1398/7 - 200. Let o = -19/2 - -12. Put a, o, 12 in ascending order. a, o, 12 Let r(s) = -s + 1. Let f be r(0). Suppose d - 3*g - 125 = -3*d, 3*d = 3*g + 93. Suppose -50 = -6*x - d. Sort 0, x, 5, f. 0, f, x, 5 Let k(g) = -2*g**2 + 6*g - 4. Let i be k(4). Let w be -3 - (i/6 + (-6)/(-3)). Put w, -2, 2, -6 in decreasing order. 2, -2, w, -6 Let s = -7 + 11. Let o be 23 + 15/(-60)*68. Sort s, -14, o. -14, s, o Let x(r) = 14*r + 163. Let o be x(-12). Put o, 3, 2, -58, 5 in increasing order. -58, o, 2, 3, 5 Let w be 10 - 11 - (6 + (6 - 13)). Sort 55, -1, 3, w, -4 in ascending order. -4, -1, w, 3, 55 Let g = -4642.6 + 4643. Sort -0.1, 1, g, -2, -0.01. -2, -0.1, -0.01, g, 1 Let m be ((-8)/(-10))/(2/(-10)). Let q = -7738 - -7742. Put 0, q, m, 3 in descending order. q, 3, 0, m Let l = -40.31 + 217.31. Sort 4, -5, 0, -0.5, l. -5, -0.5, 0, 4, l Let m = -2.1 + 2. Let a = 72 - 73. Let h = 5.44 + -5.04. Put a, -0.01, m, h in ascending order. a, m, -0.01, h Let b = 9.012 - 8.012. Put -0.2, -2/7, 0, -1/4, b in descending order. b, 0, -0.2, -1/4, -2/7 Suppose -o + 5 = -x, 2*x + 10 = -11*o + 6*o. Let p = -83 - -81. Put o, p, -7 in decreasing order. o, p, -7 Let b be -4 + (-7)/91 + 81067/39858*2. Sort 2/5, 3, b, -4, 5 in ascending order. -4, b, 2/5, 3, 5 Let c = -2 + 2.8. Let r = -0.66261 - -0.64261. Put r, 2/7, -1/2, c in increasing order. -1/2, r, 2/7, c Let z(v) = 26*v**2 - 205*v - 24. Let j be z(8). Sort -551, j, 5. -551, j, 5 Let k be 2990/70 + 2/7. Let l be 0/k - 1/(8/3). Sort 0.4, l, -9/7. -9/7, l, 0.4 Suppose -6*o = 51*o + 145 + 26. Sort -4, -455, -5, o in decreasing order. o, -4, -5, -455 Let v = 200 - 1601/8. Let m = -14.968 - -15. Let w = m + 0.068. Sort v, 2/7, w in ascending order. v, w, 2/7 Suppose 2*v + 37 = -5*b, 79 = 3*v - 8*v + b. Let i = v - -29. Suppose 3*s + 5 = 3*m - i, -5 = -m. Put s, 0.3, 2 in descending order. 2, 0.3, s Let c = -3838 + 3838. Sort 33, -2, c, 3, -4 in decreasing order. 33, 3, c, -2, -4 Suppose r + 16 = 5*x, 242*r - 246*r + 5*x = 4. Put 2, -4, r, 7 in increasing order. -4, 2, r, 7 Let z = -1.7 - 1.3. Let r = 2 + z. Let n be -2*(-3)/(-8) - -1. Put -5, r, n in decreasing order. n, r, -5 Let h be (-2 + -2 + 2)*131/(-1310). Let n = -6.3 + 1.3. Let m = -4/5 + 1/5. Sort h, n, m. n, m, h Let b = -1352 + 1356. Sort 3, -10, b in descending order. b, 3, -10 Let z(o) = 14 + 5 - 3*o**2 - 46*o + 0*o**2 - 10*o. Let j be z(-19). Let u(f) = -f - 1. Let q be u(-5). Sort q, j, 5, -2 in increasing order. -2, j, q, 5 Suppose 0 = -200*n - 171 + 11 - 40. Put n, -113, -2, -0.5 in ascending order. -113, -2, n, -0.5 Let i = 387 - 392. Suppose c = 1 - 0. Let w = -4 + 8. Put w, c, i, -2 in descending order. w, c, -2, i Let f = 762569/8379 + -4446/49. Let x = f - 1/19. Sort x, 7, 0.06 in descending order. 7, x, 0.06 Suppose -7*j + 10*j + 5*n = -9, -3*j - 9 = -n. Sort j, 27, -17 in descending order. 27, j, -17 Let y be (4/(-8))/((-6)/4 - (-9 - -8)). Sort 4, -0.4, y, 2/13, -376 in decreasing order. 4, y, 2/13, -0.4, -376 Let x = 3618.1 - 3658. Put 0.02, -3, x in increasing order. x, -3, 0.02 Let y be (3 - 162/12)/((-12)/(-32)). Let n(g) = 4*g + 134. Let r be n(y). Put 0, r, -3 in ascending order. -3, 0, r Let p = -7798 + 7802. Let g be ((-40)/(-15))/(1/3). Suppose -x + g = -4*i + 2*i, 21 = -5*i + 2*x. Put i, p, -0.3 in increasing order. i, -0.3, p Let a = 2 - -2. Let y = -878.0379 + 878. Let g = y - 0.2621. Sort 1, g, -2, a. -2, g, 1, a Let l be 2 + -8 + 19 + -17. Let q = -15 - -14. Let n = -4 + q. Put n, l, 2 in descending order. 2, l, n Suppose -9*j - j = 3*j. Suppose j = -2*r, -r = -4*s - 4*r. Suppose s = -19*t + 3*t + 64. Sort t, 19, 1, -4 in increasing order. -4, 1, t, 19 Let w = 127083.4 - 127083. Let x = -9 - -14. Put -0.03, 0.1, w, x in descending order. x, w, 0.1, -0.03 Let b = -0.5 - 0.5. Let w = 109.78 - -0.22. Let r = w - 115. Put -13, r, -1/3, b in decreasing order. -1/3, b, r, -13 Suppose 4*y + 4*q = -8 - 4, -2*q = 2. Let h be y - (42/35)/((-8)/(-20)). Let w be ((-1)/(-2))/(2/(-10)). Sort w, 0, h in descending order. 0, w, h Let p(u) be the third derivative of u**5/60 + u**4/6 + u**3 + u**2 + 8*u. Let g be p(-3). Put g, 9, 0, 4 in decreasing order. 9, 4, g, 0 Suppose h = -5*j - 26, -4*h + 0*h = j + 9. Suppose 962 + 585 = 91*s. Put 3, h, s in decreasing order. s, 3, h Let v = 19505 + -19504. Let x(a) = a**3 + 7*a**2 + 2*a - 1. Let u be x(-7). Let d = 11 + u. Sort d, 3, v, -1. d, -1, v, 3 Let f = 7240 - 7486. Put f, -0.1, 0.3, 4 in descending order. 4, 0.3, -0.1, f Let v be ((-15)/(-25))/(114/(-95)). Put -1.2, 1/37, v in decreasing order. 1/37, v, -1.2 Let d be 6/117*(-4)/20. Let r = 47/1755 - d. Let k = r - -8/27. Sort 3, 2, k. k, 2, 3 Suppose -55*u + 52*u + 107 = j, -2*u + 34 = -4*j. Put -3, 6/125, u in ascending order. -3, 6/125, u Let a = -159 + 158.384. Let h = 0.284 - a. Sort -0.4, h, 0.5, -3 in descending order. h, 0.5, -0.4, -3 Let x be (-110)/(-11) + (-9)/3. Put 1/2, 0, 0.2, x, 4 in ascending order. 0, 0.2, 1/2, 4, x Let h = -620 + 355. Let g = h - -272. Sort 1/12, 3, g. 1/12, 3, g Suppose 4*z + 5*q = -51, -1462*q + 1464*q = -3*z - 26. Sort z, 5067, -5 in decreasing order. 5067, z, -5 Suppose -27 = 5*s + 5*i - 9*i, -s - 15 = 4*i. Let v be (1 + 3 + s)/((-15)/(-10)). Sort v, -2/11, 0.4. v, -2/11, 0.4 Let v(m) = 2*m**2 - 2*m. Let p(d) = d**3 - 11*d**2 + 31*d + 9. Let w(k) = -p(k) + v(k). Let c be w(10). Put -2, -3, -5, c in increasing order. c, -5, -3, -2 Suppose 3*b = 3, -y + 9 = -2*b + 7. Put -5, 13, y, 1, -14 in ascending order. -14, -5, 1, y, 13 Let d be 12/18*(-975)/(-50). Let o be 0/(-2 + (0 - 0)). Sort o, 1, d in ascending order. o, 1, d Let j be 50/(-6)*(22464/(-160))/39. Sort 7, -1, j, -4. -4, -1, 7, j Let o be 8/14*(64 + -46)/(-36). Suppose 5*l = -3*j - 32, -20 = -l + 5*l + j. Put o, -0.3, l, -6 in ascending order. -6, l, -0.3, o Let j(r) = r**3 - 2*r**2 + 3*r - 3. Let u be j(2). Suppose u*n - 41 = -5*a + 70, 5*a + 2*n = 114. Suppose -7*f + f = a. Put -11, -1, f in descending order. -1, f, -11 Suppose 2*b - 8*b = -p - 89, -5*b + 228 = -3*p. Sort 3, p, 1/4, 3/7 in decreasing order. 3, 3/7, 1/4, p Let p be (40/(-12))/((-2)/(-3)). Suppose 6*u - 261 = u - 241. Put u, p, -14, -2 in decreasing order. u, -2, p, -14 Let i(h) = -h**3 + 12*h**2 - 29*h + 8. Let f be i(3). Put 5, -4, -111, f in descending order. 5, f, -4, -111 Let r be (-32)/(-6) - 2/(-3). Suppose 43*b - 42*b - 1743 = -3*z, 2*z = -5*b + 1162. Suppose -573*d = -z*d. P
{ "pile_set_name": "DM Mathematics" }
)/21)/((2750/(-525))/110)? 54 What is the value of ((-6)/8)/(111*(-88)/(-468864))? -36 156/61750*(-380)/(-60) 2/125 What is (-14)/(((-892)/(-669))/(12/3))? -42 Evaluate (16/(-2))/(((-3124)/(-88))/(-71)). 16 Evaluate (-5)/(-15)*507/(-2197). -1/13 Calculate 203/(-8729)*(-1849)/(-2). -43/2 Evaluate (-9)/(-450)*((-405)/18)/(-3)*-5. -3/4 3*31/4464*-9 -3/16 What is (-1960)/28*146/4380? -7/3 Calculate (2*(-4)/6)/(324316/8513295). -35 What is ((-864)/32)/108*112? -28 What is 42/(-35)*159/(-2385)? 2/25 What is the value of ((-4)/(20/(-7))*5)/(((-451)/121)/41)? -77 Calculate (61/551745*216)/(12/(-30)). -4/67 Calculate 10*((-1254)/2926)/(5/14). -12 Evaluate 24/40*320/(-6336). -1/33 ((-4)/(-96)*2)/(1/(-5)*(-3650)/(-584)) -1/15 What is the value of ((-140)/200*10)/((-98)/14)? 1 Evaluate ((4340/(-1767))/28)/((-10)/24). 4/19 What is (-5)/(-70)*7*66/77? 3/7 What is the value of (7/(-21))/(((-4)/410)/(((-396)/(-15))/(-22)))? -41 (264/7700)/((-243)/(-675)) 2/21 Calculate 6*(-12)/(-3)*72/(-1536)*2. -9/4 What is (10/32*(-7880)/(-4925))/(-1)? -1/2 What is 55/(-1584)*9*(-8)/170? 1/68 Calculate (64267448/948)/(-398)*6/14. -73 ((-4)/42)/((-12490)/2754045) 21 What is (-45)/15*(-594)/(-162)? -11 What is (-1892)/(-4730)*(-15)/(-4)*74/3? 37 What is ((-1)/4)/(-157*(-63)/(-504))? 2/157 What is 36/(288/280)*(-16)/42*18/(-12)? 20 ((-86)/(-12))/(18/45*-5)*(-3576)/298 43 What is (3*65/78)/((28/2)/((-32)/8))? -5/7 Calculate 1/(-28)*(-24)/(-10)*(-15140)/(-13626). -2/21 What is (91/143)/(78/(-286))*-15? 35 Evaluate ((-12)/(-7))/((-1052898)/57134). -4/43 What is the value of (1*5*((-12)/(-12))/(12/(-6)))/11? -5/22 (((56/1)/(-14))/(-2))/((-26)/3) -3/13 Evaluate (-32)/(-12)*54/(-24)*-39*25/50. 117 ((-36)/300)/(861/(-50225)) 7 (((-7)/56)/((-11)/22))/((-156)/48) -1/13 What is 12*(((-3850)/25)/(-22))/(6/((-2)/1))? -28 What is the value of (((-4)/966)/(1/(-35)))/((-10)/(-12))? 4/23 Evaluate (32*78/(-9984))/(5/(-620)). 31 What is 126/((-1050)/(-25))*32/(-36)? -8/3 What is 15/20*22592/4942? 24/7 What is (-72)/(((-6)/13)/(240/780))? 48 What is the value of ((-60)/540)/(29/(812/28))? -1/9 Evaluate 19/(19/4)*13/(-21450)*11. -2/75 Calculate 18*-20*34/(-1700). 36/5 What is 2425/27742*52/325? 2/143 (174*10/60)/(3/(-42)*7) -58 What is 801/(-15219)*76/(-4)? 1 What is (3/(-26))/(-2*(-129)/(-516))? 3/13 Calculate 11/3674*(29/203)/(1/28). 2/167 Calculate 3*(10/(-2))/(40/20)*(-13362)/(-3537). -85/3 What is (60/24)/((-28)/(27664/130))? -19 Evaluate ((-116332)/2540)/(-229)*(1/20)/(14/(-8)). -1/175 What is ((212/(-11130))/((-36)/21))/(3/(-6))? -1/45 What is the value of (((-1398)/3029)/(8/(-520)))/((-3)/24*-2)? 120 (396/(-15))/((-47652)/97470) 54 Evaluate (-8)/(-3)*(-15)/(-88)*186/155. 6/11 What is the value of (-2580)/1806*(-14)/(-30)? -2/3 Evaluate ((8*-38)/4)/(-84*(-54)/1134). -19 What is the value of 0/(-25*(-1104)/1200)? 0 What is the value of 506/460*120/55*-5*4/3? -16 ((-1850)/75*198/(-2442))/(4/138) 69 Evaluate 7/13*128/(-224)*26. -8 Evaluate (1450/19575)/(14/(-13419)). -71 (61198/5789)/(14/(-49)) -37 ((-343)/(-42))/7*(-2160)/(-301140) 2/239 What is (-72)/54*(-1053)/117? 12 Calculate (8/(-12)*(495/35)/(-11))/(158/7189). 39 Calculate (-140)/28*7*(12/4)/3. -35 What is the value of ((1612/182)/(-31))/(2*2/44)? -22/7 Calculate ((-588)/(-1274))/((-721)/13390). -60/7 What is the value of (394/(-2364))/(1/(-24)*10)? 2/5 What is ((-203)/(-49))/(((-348)/203)/(-12))? 29 What is the value of 32*14/(-784)*6/(-3)*(-10)/40? -2/7 Evaluate (18/(-75))/(12/40)*(-2395)/(-13891). -4/29 What is ((-10)/(-2))/(364/392*(-98)/(-364))? 20 What is the value of (52/(-78)*-1)/((-1152)/108)? -1/16 Calculate (-21)/126*(-279)/124*(-1)/(3/(-488)). 61 Calculate (112/20*790/(-948))/((-30)/(-9)*1). -7/5 What is the value of ((-2604)/11067)/((-28)/(-238))? -2 1*(-3)/(-9)*(-434)/31*3/2 -7 Calculate (-100)/(1/((-12)/1)*-24). -50 124550/(-22419)*(-54)/510 10/17 Evaluate (12072/503)/((-70)/(5/1)). -12/7 What is the value of 6260/(-78876)*-27*8/60? 2/7 What is the value of (-2)/(44/18)*41140/(-24684)? 15/11 What is the value of ((-4875)/(-165))/(-25)*2490/1079? -30/11 What is the value of ((-40)/(-1152))/(((-66)/110)/(6/(-100)*4))? 1/72 Evaluate ((-200)/(-75))/((112/42)/(-8)). -8 Calculate (4860/(-1458))/(20/66). -11 What is ((-28)/(-136))/((-57)/(28101/(-116)))? 7/8 What is (23/(-69))/((-378)/162)? 1/7 What is (-1714)/(-4285)*(-15)/(-63)? 2/21 Evaluate ((-6)/4)/(((-27)/(-5))/((-414)/3450)). 1/30 What is (-61)/((-11529)/(-54))*2? -4/7 Evaluate 16/((-6720)/(-75))*3*4/45. 1/21 ((-3)/(-8))/(2784/341504) 46 What is -2*(-2071)/(-436)*-10? 95 Evaluate (96/300*-35)/(((-2112)/560)/33). 98 Evaluate (-5)/3*(749/321)/((-5)/(-45)). -35 ((-9)/((-189)/196))/(35/(-1350)*-15) 24 What is the value of 32/(-20)*160/(-60)*30/8? 16 What is 25/((-384375)/100)*((-99)/(-22))/(-3)? 2/205 (-5)/9*215109/(-637360) 3/16 Calculate ((6/(-1*2))/((-9816)/(-22086)))/3. -9/4 (20/5)/((345/23)/(-240)) -64 What is the value of (6552/156)/((2/(-3))/(-1))*54/(-81)? -42 (-42)/15*1740/(-43848) 1/9 (-3)/(-3*(-1113)/(-63)) 3/53 Calculate 11816/2954*37/(-4). -37 (-6)/(-18)*6726/(-59)*2*3/(-12) 19 ((-3)/(-14))/(((-6060)/(-1056))/(-101)*6/15) -66/7 -15*402/1675*(-4)/6 12/5 What is ((7/(-28))/((-3)/12))/(33/1056)? 32 Evaluate ((65/(-6))/(-65))/(221/(-78)*2). -1/34 (10/(-7))/(((-14)/(-56))/((-2)/(192/21))) 5/4 What is the value of (3/(-20)*8)/(((-570)/(-975))/(-19))? 39 2/18*(-6)/8*(1782/(-33))/(-54) -1/12 Evaluate ((-30)/(-84))/(((-4970)/1456)/(-71)). 52/7 Calculate (-2)/4*(-75)/25*60. 90 Evaluate (-630)/(-4212)*9*20/(-50)*2. -14/13 1/((105/455)/(5/(-65))*(-1)/(-93)) -31 What is the value of 80/(-16)*(4/(-5))/(10*(-5)/(-500))? 40 Evaluate (47476/(-10043))/((-12)/33). 13 Calculate ((-12)/(-15))/(358/3385785*-78). -97 Calculate (30240/(-6912))/((-10)/(-36))*-4. 63 Evaluate 40/50*10230/248. 33 (2205/4900)/((-126)/(-24)) 3/35 What is ((-25)/((-2975)/34))/(14/2303)? 47 Evaluate (7/((-294)/35))/(20120/(-1006)). 1/24 Evaluate ((105/1050)/((-9)/15))/(4/(-1272)). 53 Evaluate 4/5*-1*32472/28864. -9/10 (-3090)/(-824)*3/(-171)*4 -5/19 (-4150)/830*(-14)/(-4)*2*-1 35 Calculate 390/15*1*(-1)/4*(-204)/(-51). -26 Evaluate (((-6)/4)/3)/(((-84)/(-462)*-110)/4). 1/10 ((-1270)/(-1270))/((-44)/(-2)) 1/22 (((-35)/((-875)/30))/((-15)/(-3700)*1))/4 74 What is the value of 3/(-3)*(104*95/152)/((-25)/(-20))? -52 What is the value of ((131535/(-74))/237)/(10/(-84))? 63 Evaluate ((-55)/(-20))/((-4)/(-24))*(-234)/(-351). 11 Evaluate (((-6042)/(-265))/(-19)*(-15)/(-7))/(1/21). -54 What is (3/(-3)*(0/(-5))/(-6))/((-78)/39)? 0 (6/(-28)*-34)/((-49224)/28714) -17/4 Evaluate ((774/19866)/((-12)/14))/(-1*(-5)/(-180)). 18/11 What is the value of ((-8268)/2067)/((-6)/(-20)*8/15)? -25 Calculate 30/8*((-234)/65)/(-18). 3/4 Evaluate 129/((-126)/(-12)*7*(-34)/119). -43/7 What is the value of 6*4/(-18)*((-1848441)/(-356))/161? -43 What is the value of ((-13)/26)/((258/336)/43)? -28 (((-840)/(-800))/((-14)/(-24)))/(78/360*3) 36/13 Evaluate ((((-24)/3)/(80/(-48)))/((-4)/10))/10. -6/5 Calculate (((-413)/(-49))/((162/63)/6))/(6/(-36)). -118 What is the value of 180/3045*3799/524? 3/7 Calculate 9770/(-3908)*((-216)/(-10))/(-6). 9 What is the value of 45*17/255*12? 36 What is (102971/(-242))/(138/(-36))? 111 Calculate (6/(18/6))/(142/(14200/375)). 8/15 Evaluate 168/100*(-22005)/(-10269). 18/5 What is (-6)/((-90)/(-3810)*(-1)/2)*(-54)/216? -127 Calculate (240/420)/(((19/(665/(-30)))/2)/7). -28/3 What is the value of 61854/(-99918)*(-18)/(-52)? -3/14 Calculate -13*((-33060)/(-377))/38. -30 Calculate 60/185*(-43)/((-2967)/23). 4/37 What is (-25)/10*(-20)/(-75)*(-1)/(-2)*-2? 2/3 ((-561)/(-12))/(-11)*16*230/(-184) 85 What is the value of ((-784)/(-24))/(-14)*-12*(-3)/12*1? -7 (120/90*(-13)/(-4))/(((-598)/390)/(-23)) 65 ((8/(-36))/2*2)/((19065/(-279))/205) 2/3 What is (44/(-3828))/(3/(144/(-8)))? 2/29 (7/(-56))/((-21)/((-504)/(-165))) 1/55 Evaluate 9/144*-28*2*24/(-4). 21 What is (3816/1507320)/((-1)/10)? -2/79 (-1352600)/(-20289)*((-27)/12)/3 -50 (-2456)/(-2149)*(-4725)/(-100) 54 Evaluate (((-2)/(-10))/((-212)/530))/(33/2574). -39 Evaluate (28/(-4032)*-24)/((-2)/((-1392)/4)). 29 What is the value of (182/182)/((-6)/(-2))*(-108)/40? -9/10 Calculate ((12600/98)/(-45))/(198/63). -10/11 What is 3825/(-200600)*24/54? -1/118 -363*658/(-41
{ "pile_set_name": "DM Mathematics" }
reds digit of 502? 5 What is the units digit of 571? 1 What is the units digit of 2844? 4 What is the thousands digit of 19816? 9 What is the units digit of 723? 3 What is the hundreds digit of 12537? 5 What is the thousands digit of 6895? 6 What is the thousands digit of 143704? 3 What is the hundreds digit of 29544? 5 What is the thousands digit of 3918? 3 What is the tens digit of 55602? 0 What is the units digit of 1066? 6 What is the tens digit of 774? 7 What is the hundreds digit of 31713? 7 What is the units digit of 3821? 1 What is the hundreds digit of 1043? 0 What is the units digit of 754? 4 What is the hundreds digit of 17419? 4 What is the tens digit of 40? 4 What is the tens digit of 10133? 3 What is the units digit of 3137? 7 What is the units digit of 275? 5 What is the thousands digit of 116906? 6 What is the tens digit of 458? 5 What is the units digit of 9885? 5 What is the hundreds digit of 1139? 1 What is the tens digit of 157? 5 What is the hundreds digit of 6456? 4 What is the tens digit of 51371? 7 What is the thousands digit of 29401? 9 What is the hundreds digit of 1213? 2 What is the tens digit of 1894? 9 What is the hundreds digit of 179? 1 What is the tens digit of 524? 2 What is the thousands digit of 1777? 1 What is the ten thousands digit of 27844? 2 What is the tens digit of 6274? 7 What is the tens digit of 899? 9 What is the hundreds digit of 23390? 3 What is the tens digit of 1289? 8 What is the ten thousands digit of 60822? 6 What is the units digit of 343? 3 What is the hundreds digit of 2019? 0 What is the thousands digit of 10792? 0 What is the tens digit of 3884? 8 What is the ten thousands digit of 60918? 6 What is the hundreds digit of 801? 8 What is the units digit of 3? 3 What is the units digit of 1184? 4 What is the units digit of 6875? 5 What is the hundreds digit of 4250? 2 What is the hundreds digit of 6022? 0 What is the units digit of 3953? 3 What is the tens digit of 169355? 5 What is the tens digit of 115800? 0 What is the tens digit of 2325? 2 What is the units digit of 298? 8 What is the hundreds digit of 5799? 7 What is the tens digit of 44923? 2 What is the units digit of 17409? 9 What is the units digit of 4140? 0 What is the units digit of 9? 9 What is the ten thousands digit of 76283? 7 What is the ten thousands digit of 14449? 1 What is the units digit of 1889? 9 What is the hundreds digit of 14490? 4 What is the hundreds digit of 18473? 4 What is the hundreds digit of 2000? 0 What is the units digit of 31? 1 What is the thousands digit of 10047? 0 What is the hundreds digit of 285? 2 What is the tens digit of 483? 8 What is the hundreds digit of 3772? 7 What is the tens digit of 30948? 4 What is the units digit of 3901? 1 What is the hundreds digit of 2105? 1 What is the thousands digit of 13539? 3 What is the thousands digit of 8825? 8 What is the tens digit of 8330? 3 What is the hundreds digit of 933? 9 What is the units digit of 400? 0 What is the tens digit of 1696? 9 What is the units digit of 10102? 2 What is the tens digit of 48? 4 What is the units digit of 985? 5 What is the hundreds digit of 651? 6 What is the thousands digit of 1093? 1 What is the thousands digit of 117314? 7 What is the thousands digit of 1402? 1 What is the units digit of 12209? 9 What is the thousands digit of 45308? 5 What is the hundreds digit of 1696? 6 What is the tens digit of 1169? 6 What is the tens digit of 3493? 9 What is the tens digit of 16109? 0 What is the hundreds digit of 21068? 0 What is the units digit of 2603? 3 What is the units digit of 754? 4 What is the thousands digit of 37693? 7 What is the units digit of 4370? 0 What is the tens digit of 47767? 6 What is the tens digit of 52677? 7 What is the units digit of 332? 2 What is the units digit of 6726? 6 What is the units digit of 12543? 3 What is the hundreds digit of 57308? 3 What is the hundreds digit of 56965? 9 What is the thousands digit of 1288? 1 What is the hundreds digit of 7953? 9 What is the thousands digit of 24087? 4 What is the tens digit of 3972? 7 What is the units digit of 671? 1 What is the hundreds digit of 1109? 1 What is the thousands digit of 2889? 2 What is the units digit of 45607? 7 What is the hundreds digit of 92886? 8 What is the hundreds digit of 20637? 6 What is the units digit of 1658? 8 What is the thousands digit of 1865? 1 What is the tens digit of 26176? 7 What is the ten thousands digit of 101851? 0 What is the tens digit of 1101? 0 What is the hundreds digit of 846? 8 What is the tens digit of 4352? 5 What is the hundreds digit of 2119? 1 What is the thousands digit of 6237? 6 What is the tens digit of 157846? 4 What is the units digit of 5036? 6 What is the units digit of 24130? 0 What is the units digit of 162? 2 What is the hundreds digit of 25960? 9 What is the hundreds digit of 5756? 7 What is the thousands digit of 3182? 3 What is the units digit of 7067? 7 What is the thousands digit of 9424? 9 What is the hundreds digit of 2019? 0 What is the hundreds digit of 1272? 2 What is the hundreds digit of 9506? 5 What is the thousands digit of 3549? 3 What is the tens digit of 20436? 3 What is the thousands digit of 30032? 0 What is the hundreds digit of 810? 8 What is the tens digit of 2485? 8 What is the thousands digit of 4126? 4 What is the tens digit of 19509? 0 What is the hundreds digit of 1707? 7 What is the units digit of 488? 8 What is the tens digit of 1288? 8 What is the units digit of 38027? 7 What is the tens digit of 1466? 6 What is the tens digit of 1478? 7 What is the units digit of 1934? 4 What is the ten thousands digit of 90466? 9 What is the ten thousands digit of 14512? 1 What is the hundreds digit of 19802? 8 What is the units digit of 26278? 8 What is the tens digit of 1106? 0 What is the thousands digit of 38487? 8 What is the tens digit of 2917? 1 What is the hundreds digit of 23374? 3 What is the units digit of 7? 7 What is the units digit of 3127? 7 What is the thousands digit of 17687? 7 What is the units digit of 1445? 5 What is the tens digit of 1615? 1 What is the hundreds digit of 1543? 5 What is the thousands digit of 1107? 1 What is the tens digit of 57893? 9 What is the tens digit of 12420? 2 What is the tens digit of 393? 9 What is the tens digit of 387? 8 What is the thousands digit of 4141? 4 What is the units digit of 1809? 9 What is the tens digit of 92454? 5 What is the units digit of 7267? 7 What is the hundreds digit of 890? 8 What is the tens digit of 72891? 9 What is the hundreds digit of 13712? 7 What is the tens digit of 545? 4 What is the units digit of 751? 1 What is the units digit of 1537? 7 What is the units digit of 9462? 2 What is the hundreds digit of 1151? 1 What is the hundreds digit of 3884? 8 What is the hundreds digit of 13449? 4 What is the tens digit of 18533? 3 What is the hundred thousands digit of 133876? 1 What is the hundreds digit of 5844? 8 What is the units digit of 3238? 8 What is the ten thousands digit of 85167? 8 What is the units digit of 1019? 9 What is the hundreds digit of 33999? 9 What is the tens digit of 2516? 1 What is the hundreds digit of 214? 2 What is the tens digit of 45928? 2 What is the units digit of 8155? 5 What is the tens digit of 4065? 6 What is the tens digit of 6006? 0 What is the tens digit of 21124? 2 What is the tens digit of 37001? 0 What is the hundreds digit of 7146? 1 What is the hundreds digit of 9111? 1 What is the tens digit of 21213? 1 What is the thousands digit of 12832? 2 What is the hundreds digit of 862? 8 What is the units digit of 1513? 3 What is the tens digit of 152? 5 What is the tens digit of 1373? 7 What is the units digit of 2676? 6 What is the tens digit of 486? 8 What is the hundreds digit of 4473? 4 What is the thousands digit of 2097? 2 What is the ten thousands digit of 19433? 1 What is the tens digit of 80? 8 What is the units digit of 993? 3 What is the units digit of 3630? 0 What is the tens digit of 1632? 3 What is the thousands digit of 1138? 1 What is the units digit of 7822? 2 What is the units digit of 4847? 7 What is the tens digit of 5092? 9 What is the units digit of 12166? 6 What is the units digit of 187243? 3 What is the hundred thousands digit of 1763
{ "pile_set_name": "DM Mathematics" }
). 953 Let g = -7235 + 14629. List the prime factors of g. 2, 3697 Let m(b) = 147*b**2 - 18*b + 72. What are the prime factors of m(-10)? 2, 3, 7, 89 Let u = 144 + -88. Suppose 4*h - u = 488. List the prime factors of h. 2, 17 Suppose r - 158 = 22. Let x = -256 + 159. Let j = r + x. What are the prime factors of j? 83 Let p = 15955 + -7793. List the prime factors of p. 2, 7, 11, 53 What are the prime factors of 2029*(45/(-180))/(1/(-12))? 3, 2029 Suppose 3*x - 4*l - 23 = -7, 0 = 3*l + 12. Suppose 6*n = 2*n + 20, x = 3*y - n - 250. Let j = -27 + y. List the prime factors of j. 2, 29 Suppose 0*l = 12*l + 60. List the prime factors of 832 + 5 + 7 - l. 3, 283 Let f = -92 + 94. Suppose 4*d - 11*m - 732 = -15*m, -d + 195 = -f*m. List the prime factors of d. 11, 17 Suppose -2*w + y = -21, -3*w - 5*y + 44 = -4*y. Suppose -4*l - 5*x - w = 0, 4*l + 2 = x - 5. List the prime factors of 8/l*(-51)/34. 2, 3 Let d(o) = 14*o + 189 + 12*o + 14*o - 16*o + 10*o. List the prime factors of d(17). 13, 59 Let h(l) = -l**3 - 25*l**2 + 24*l - 48. Suppose 3*q + 42 = -36. Let o be h(q). Suppose -19*r + 195 = -o*r. List the prime factors of r. 13 Let p(g) = 92*g**3 - g**2 - 2*g + 3. Let n be p(1). Suppose 74 - n = -3*s. Suppose -2*l = 2*h - s*h + 240, 0 = -4*h - l + 228. List the prime factors of h. 2, 29 List the prime factors of -2*2 + (-272928)/(-8 - 4). 2, 3, 5, 379 What are the prime factors of 937 + -12 - 1/1*5? 2, 5, 23 Let w(t) be the first derivative of -t**4/4 - 3*t**3 + 10*t**2 + 38. Let p be w(-10). Let l = p - -150. List the prime factors of l. 2, 5 Let q(k) = -k**2 + 5*k + 9. Let i be q(7). Let r(m) = -m**2 - 10*m - 13. Let z be r(i). List the prime factors of ((-261)/z)/(12/(-128)). 2, 29 List the prime factors of -50143*((-1)/(1*(-5)/(-40)) + 7). 41, 1223 List the prime factors of 528128/7 - (144/21 + -6). 2, 7, 17, 317 Suppose 8*a + a = 0. Suppose 27*z - 31*z + 4 = a. Let j = 212 - z. What are the prime factors of j? 211 Let z(l) = 118*l - 594. List the prime factors of z(13). 2, 5, 47 Suppose 36 = 3*n - 27. Suppose -n*u = -15*u. Suppose 3*x - 106 - 185 = u. List the prime factors of x. 97 Let b(f) = 5*f - 25. Let v be b(5). Suppose 3*x - 4*x + 92 = v. Suppose o + 3*m - 41 = x, -2*o + 263 = 5*m. List the prime factors of o. 2, 31 Let p = -48870 + 89548. What are the prime factors of p? 2, 11, 43 What are the prime factors of ((-12)/(-14))/(345/27056050)? 2, 5, 3361 Suppose 0 = 4*z + 10*u - 12*u - 40096, -5*u = -9*z + 90214. What are the prime factors of z? 2, 3, 557 Suppose -5*b = -5*u - 60, 0 = -b - 4*b - 5*u + 60. What are the prime factors of b/(-6)*(-5)/(5/68)? 2, 17 Let p be 62/217 + (-9)/7. List the prime factors of (-5 - -179)*(p - (-8)/6). 2, 29 Let h(q) = 24*q**2 - 9*q + 26. Let s be h(-6). Suppose 3*t - 1531 = s. List the prime factors of t. 3, 5, 11 What are the prime factors of 13082/2 + (-15 - -5)? 3, 7, 311 Let p be 0 + ((-1)/(-3) - 4736/(-111)). Suppose 0 = -p*v + 62*v - 24073. List the prime factors of v. 7, 181 Suppose a + 7*m - 11*m = 0, -2*a = -m - 7. Suppose u + 922 = 4*b - 550, 4*b + a*u = 1452. What are the prime factors of b? 367 Suppose -b + 9445 - 671 - 289 = 0. What are the prime factors of b? 5, 1697 Let m(z) = -z**3 - 29*z**2 + 4. Let f be m(-29). Suppose v + f*b + 22 - 354 = 0, -5*v + 1580 = 4*b. List the prime factors of v. 2, 3, 13 Suppose 0 = -123*u + 109*u + 438060. List the prime factors of u. 2, 3, 5, 7, 149 Let u = 98 - 94. Suppose 2*t - 418 = -u*w, 0*w + 2*w - 207 = t. List the prime factors of w. 2, 13 Suppose -95842 = -2*w + 97952 - 32034. What are the prime factors of w? 2, 3, 5, 337 Let m = 0 - 7. Let h be 0 + (-4120)/(-14) - (-2)/m. Suppose -z + 157 = 3*x, -2*z + 2*x + 2*x = -h. What are the prime factors of z? 151 Suppose 3*n + 3*j = -j + 11, 5*n - 4*j = 29. Suppose -n*q - 4 - 1 = 0. What are the prime factors of (6/4)/(q/50*-5)? 3, 5 Let p = 9406 - 4821. What are the prime factors of p? 5, 7, 131 Let o(q) = q**2 - 9*q + 16. Let s be o(7). Suppose 4*k - c - 20 = 0, -s*c = -k + 3*c + 5. Suppose -3*b = 15, -b = -n + k*n - 1051. List the prime factors of n. 2, 3, 11 Suppose -19*v = -258753 + 32045. What are the prime factors of v? 2, 19, 157 Let g = 2 + 0. Suppose 2*i = g*f - 350 + 24, 5*i - 775 = -5*f. Let d = f - 86. What are the prime factors of d? 73 What are the prime factors of (-6 + (-841720)/(-60))/(4/6)? 2, 13, 809 Suppose i = -6*y + y, -3*y = -3*i. Suppose y = 4*p + 5*x - 1046, p + 4*x - 227 - 40 = 0. Let a = -127 + p. List the prime factors of a. 2, 3, 11 Suppose 3*x = x - 4, 2*x + 22 = 2*h. List the prime factors of 1600/h + (-16)/(-72). 2, 89 Let q = -39881 - -63142. List the prime factors of q. 7, 3323 Suppose 7 = 4*v - 1, 3*x - 4*v + 1508 = 0. Let k = -324 - x. Suppose 3*q - k = 4*j, 0 = 4*q - j + 4*j - 218. List the prime factors of q. 2, 7 What are the prime factors of (6/21 + (-17710)/245)*119/(-2)? 2, 3, 7, 17 Let v(k) = k**3 - 59*k**2 + 70*k - 253. List the prime factors of v(60). 7547 Let v be (-4)/8 - 327/(-6). Let h = v - 50. Suppose 5*i + h*p - 350 = -p, 0 = -3*i + 3*p + 180. What are the prime factors of i? 5, 13 Let z(r) = -184*r**2 - 9*r - r**3 + 39 - 36 + 198*r**2. Suppose -2*i + 31 = 3*f, -2*f + 3 = -f. What are the prime factors of z(i)? 3, 89 Let h(i) = 39*i**3 - 6*i**2 + 10*i - 142. What are the prime factors of h(7)? 3, 4337 Let q = 10860 - 10628. List the prime factors of q. 2, 29 Let r be (-6)/14 + 54/126. Suppose -2*n - 4*l - 50 = l, n + 5*l + 35 = r. Let v = n - -146. What are the prime factors of v? 131 Let l = -1829 + 4674. Let c = -1993 + l. What are the prime factors of c? 2, 3, 71 Let z(i) = 12*i + 31. Suppose 15 = -3*n, o - 21 = -o - 5*n. What are the prime factors of z(o)? 307 Let j be -1*(1 + 3 + -1049) + 2. Suppose -5*k + j = -263. What are the prime factors of k? 2, 131 Suppose -10 = -5*o + 5, -2*q = 4*o - 742. Suppose 13*y - q = 2872. List the prime factors of y. 3, 83 Let y(h) = -h**3 + 50*h**2 - 495*h - 143. What are the prime factors of y(31)? 17, 163 List the prime factors of 1/4 + ((-250185)/(-60) - -12). 2, 3, 17, 41 Let h = 532 + -525. Suppose -389 = -h*w + 3251. What are the prime factors of w? 2, 5, 13 Let y be 2/(-8)*-28 + -7. Suppose t - 669 - 205 = y. What are the prime factors of t? 2, 19, 23 Let i = 415 - 277. Suppose 2*g + 2*u - 336 = 0, 3*g + u - 374 = i. What are the prime factors of g? 2, 43 Let v = -108334 - -169882. What are the prime factors of v? 2, 3, 23, 223 Suppose -55*b - 87803 = -226246 - 115602. What are the prime factors of b? 31, 149 Let m = 36 + 50. Suppose -5*f + 25 = 0, 191 = -2*n + 6*n + 3*f. Let t = m - n. List the prime factors of t. 2, 3, 7 Let f be 1 + -4 - (-5 + 2). Suppose -5*i + 2*g - 80 = f, -5*i + 5*g - 115 = -20. Let q(s) = -3*s - 28. List the prime factors of q(i). 2, 7 Let q = 285 - 140. Let v = q - 101. List the prime factors of v. 2, 11 Suppose -6*o = 83*o - 1161272. List the prime factors of o. 2, 7, 233 Let v be (-3)/4 - (14166/24 - -9). Let r = 1542 + v. What are the prime factors of r? 2, 3, 157 Let i = 1061 + 8579. What are the prime factors of i? 2, 5, 241 Let n(o) = o**2 - 7*o - 34. Let z be n(10). Let i be (2/(-4))/(2/z). Suppose -4*m - i = -41. What are the prime factors of m? 2, 5 Suppose 16507 = 84*c - 36917. What are the prime factors of c? 2, 3, 53 Suppose -104*b + 2904910 - 360533 = -2764615. List the prime factors of b. 2, 3, 709 Suppose -4*l = 2*x - 20, -2*x = -5*x + 4*l. Let s be 1*(1*42 + x) + -4. Let o = 271 - s. What are the prime factors of o? 229 Let z(n) = n**3 + 2*n**2 - 8*n + 9. Let t = 146 - 142. What are the prime factors of z(t)? 73 What are the prime factors of 490/105*7332/7? 2, 13, 47 Let a(t) = 64*t**2 + 40*t - 661. List the prime factors of a(13). 5, 7, 61 Suppose -20*n + 23*n - 279 = 0. Suppose -f = 3*k - 101, 2*f = -4*k + 43 + n. What are the prime factors of k? 3, 11 Suppose -4*l = 5*p - 209, l + 3*p = 4*p + 59. Suppose g = -6*g + l. Let s(u) = u**3 - 6*u**2 - 6*u + 2. What are the prime factors of s(g)? 2, 41 Let l(m) = m**2 - 7*m - 8. Let z be l(-4). Suppose -n = 2*t, -4*n + 15 = -2*n - t. List the prime factors of 2436/z - -2*1/n. 2, 17 Let a(f) = f**3 + 17*f**2 - 5*f - 28. Suppose 293*v = 288*v - 85. List the prime factors of a(v). 3, 19 Suppose -4*a - 5*r + 98337 + 358 = 0, 4
{ "pile_set_name": "DM Mathematics" }
)? True Let n be 1*3 - 5/5. Let c(d) = 5*d + 2*d - d**2 - 7 + n*d**2 - 5*d. Is 7 a factor of c(-6)? False Suppose 0 = 4*d + d - 0*d. Suppose d = 2*m - 5*k - 29, 0 = 3*m + 5*k - 2*k + 9. Suppose -2*a + 272 = m*a. Is 5 a factor of a? False Suppose 12*f = -2924 + 15692. Does 38 divide f? True Suppose -5*g + 94 = 79. Suppose g*l + l - 48 = 0. Suppose 3*d = 4*h + 50, 2*h + l = 2. Is d a multiple of 10? True Let l(i) = -27*i - 60. Let j be l(-18). Let k = -188 + j. Is 17 a factor of k? True Let m be (-10*1)/((-15)/120). Suppose 0 = -81*w + m*w + 315. Is 21 a factor of w? True Let m = 548 - 431. Let a = 649 - m. Is a a multiple of 37? False Let u(s) = 9*s - 9. Let k be u(1). Suppose 9*h - 52 + 7 = k. Suppose -3*c + 32 = h*w, -w = -2*w + 2*c + 9. Is w even? False Let h be (-2 + 3)/(2/(-8)*-2). Let g(f) = 6*f**2 - 2*f + 6. Let j be g(6). Suppose w = -t + j, h*t + t = -5*w + 634. Does 16 divide t? True Let l(g) = 8*g**2 + 25*g - 19. Let d be l(-6). Let w = d - 71. Is 12 a factor of w? True Does 62 divide 4 + (0 - 0) + -509*(-21 + 7)? True Suppose -1213 = p - 10613. Does 200 divide p? True Suppose 4*f - 289 = -k, 235 = 3*k - 4*f - 616. Suppose k = 6*d - 45. Does 38 divide d? False Let u be (2/18)/((-6)/(-54)). Let f(a) = 6*a**2 + 2*a. Let s be f(u). Let p(r) = -r**3 + 9*r**2 - 8*r + 12. Does 12 divide p(s)? True Let s be 4479 + 0/(3 + -5 + 4). Is 33/44 - s/(-12) a multiple of 17? True Let b be (4/6)/(14/(-21)). Let m(f) = -308*f + 7. Is 4 a factor of m(b)? False Suppose -69*j = -71*j - 2. Is 40 a factor of (j + 2/(-4))*28308/(-63)? False Let d(m) = -2*m**3 - 2*m**2 + 8*m + 4. Let w be d(-3). Let c be -3 - ((-1106)/10 - w/40). Suppose 21*r = 22*r - c. Is 27 a factor of r? True Suppose -59*j + 12 = -65*j. Is 58 a factor of (-2084)/(-12) - j/6? True Let k be (1326/85)/(-2 - (-111)/60). Let s = -19 - k. Does 2 divide s? False Let r(h) = 154*h**2 + 201*h - 8. Is r(6) a multiple of 10? False Is 17 a factor of 3/(-7) - (-422224)/28? True Does 21 divide -108*(1 - 4655/57)? False Let y be (1*33)/(1/(16/6)). Let g = 52 - y. Is (-9*g/8)/((-2)/(-4)) a multiple of 24? False Let f = 53529 + -36788. Does 101 divide f? False Suppose s - 2264 = -s + 1468. Does 6 divide s? True Let k(t) be the third derivative of t**5/120 + 43*t**4/24 + 15*t**3/2 - 37*t**2. Let h(x) be the first derivative of k(x). Does 9 divide h(11)? True Let j be 4/(-38) - 996/(-76). Let s(q) = -22*q + 21. Let d(c) = -c**2 - 23*c + 22. Let g(o) = -2*d(o) + 3*s(o). Is g(j) a multiple of 27? False Let o be 2100/(-55) - (-10)/55. Let b = -72 - o. Is (-4)/b + 11182/34 a multiple of 13? False Let u = -56 - -50. Does 7 divide (-1)/(-3) - u/((-72)/(-1004))? True Suppose 78*u - 79*u = -16*q + 86012, -3*q - 4*u = -16144. Is q a multiple of 28? True Suppose 0 = -4*l + 8*l - k - 22, 13 = 3*l + k. Suppose -l*v + 0*v - 74 = -3*f, -3*f - 4*v + 65 = 0. Suppose 43 = i - f. Does 5 divide i? False Suppose -7*g + 50837 = -21963. Is g a multiple of 26? True Let c(i) = 160*i**2 - 479*i + 2367. Is c(5) even? True Suppose -1394 = -h + 3*q, 49*q + 4192 = 3*h + 45*q. Suppose 4*n = -2*s + 18, -3*s + 33 = 4*n - 6*s. Suppose -h = -8*m - n*m. Is 25 a factor of m? True Suppose -2*s - 2472 = -6*s. Let n = s - 363. Is 20 a factor of n? False Does 83 divide 2324/((-34)/(-6) - (-350)/(-70))? True Let p(h) = -h**2 - 11*h + 26. Let k be p(-8). Is 25 a factor of k*(-4 - 0)*(1 + -2)? True Let p = -493 + 493. Is 11 a factor of (-22 - p)/((9 + -11)/74)? True Let m be (-2)/(-1)*1 + 0 - 12. Let i be m/(-20) - (-761)/2. Let b = i + -206. Is b a multiple of 26? False Let b = -7417 + 7617. Is b a multiple of 20? True Let n = 79 - 68. Let c(m) = -m**2 + 18*m + 13. Is 10 a factor of c(n)? True Let k = -1541 - -902. Let l = k - -1299. Does 15 divide l? True Let x = -20999 - -40293. Is 34 a factor of x? False Suppose 369520 = 5679*f - 5656*f + 85079. Does 13 divide f? False Let l(k) = 11*k**2 + 55*k - 378. Does 7 divide l(8)? False Let m = -18293 - -37091. Does 13 divide m? True Suppose -2*p = p - 6, p = -z + 23492. Suppose -z = -19*d - 11*d. Is d a multiple of 11? False Suppose 4*k + 2*v - 121476 = 0, -55550 = 5*k - 3*v - 207417. Is 66 a factor of k? False Suppose 164816 = 23*o + 43*o - 215344. Is o a multiple of 18? True Let n(v) = -11*v - 62. Let g(t) = -20*t - 123. Let a(s) = -3*g(s) + 5*n(s). Let j be a(-11). Suppose -j*q = -8*q + 100. Is q a multiple of 5? True Let b(c) = -c**3 - 6*c**2 - 2*c + 7. Let m be b(-5). Let d(s) = s**3 + 8*s**2 + s + 16. Let a be d(m). Is (a - -1)/(2/8) a multiple of 12? True Let h = -384 - -390. Is 69 a factor of h/6*7 + 782? False Let p(r) = -r**3 - 2*r**2 + 5*r - 2. Let u be (-182)/35 + 4/20. Is p(u) a multiple of 6? True Let j(c) = 5*c - 23. Let l be j(21). Let m = l - 96. Does 49 divide (98/8)/(m/(-56))? True Suppose 2*y - 5596 = -2*b, 2*y = 4*b - 0*y - 11174. Does 5 divide b? True Let c = -323 + 645. Suppose 5*o = 1357 - c. Is 23 a factor of o? True Suppose q = -2*q - 0*q. Suppose q = -5*n + 989 - 139. Is (33/(-55))/(168/n + -1) a multiple of 5? False Let w be (3 + -205)/(6/57). Let d = -1002 - w. Is d a multiple of 61? False Let k = 15 - 31. Let w be -8*(12/k)/3. Suppose 0 = f + 3, -w*q + f = 3*f - 82. Is q a multiple of 16? False Let t = 52 - 50. Suppose -3*d + t*d = 3*s - 67, 3 = 3*s. Suppose 0 = 5*c - 356 - d. Does 12 divide c? True Let g = -24194 + 24638. Is g a multiple of 37? True Let b(t) = -t**3 - t**2 - t + 1. Let q(w) = 4*w**3 - 19*w**2 - 22*w + 34. Let j(a) = -3*b(a) - q(a). Let g be j(23). Does 22 divide 2/g - (-1580)/18? True Suppose 2*d + 4*u = 14, -8*u = 5*d - 9*u - 24. Suppose d*w = 3*t + 1930, 2*t + 16 - 26 = 0. Is 10 a factor of w? False Let x(b) be the second derivative of b**6/144 + 7*b**5/30 - 4*b**4/3 + 5*b. Let h(f) be the third derivative of x(f). Is h(12) a multiple of 16? False Suppose 7*c + 15 = 43. Does 39 divide (1 - 1055/(-20))*c? False Let m(i) = -11*i - 33. Let w be (-6 - 27/(-3))*(-46)/6. Does 22 divide m(w)? True Suppose -3*h + 7*h + 12 = -3*m, 3*h = -9. Suppose -3*k - k + 20 = 0. Suppose -b + 5 = 3, m = -k*v - 2*b + 764. Is 19 a factor of v? True Let g be ((-3)/(-4) - (-17693)/52) + 0. Let r = g - 265. Is r a multiple of 76? True Does 36 divide (8350/8)/((-17)/(-680)*5)? False Does 6 divide 59370/(-9)*93/(-155)? False Let k(c) = 364*c**2 + 26*c - 75. Is k(2) a multiple of 2? False Let g be 4/(-5) - (-20)/25. Suppose g = 3*b + 127 - 175. Is b a multiple of 4? True Let m be 2 + 1512 - (-2 + 5). Suppose m + 833 = 4*x + 2*l, -3*x - 2*l + 1759 = 0. Does 13 divide x? True Let l be 4/(-10)*(-245)/14. Suppose 0 = -l*p + 1241 + 1629. Is p a multiple of 45? False Let a(j) = 2*j**3 + 3*j**2 - 9. Let w be a(3). Let l = w - 54. Is 3 a factor of l? True Does 11 divide (-32)/2 + 2251550/245? True Suppose 0 = -3*n - 679 + 685. Suppose -4*s + d = -2250, n*d = 4*s + 960 - 3212. Does 61 divide s? False Let y = 73 + -85. Let c(a) = a**3 + 12*a**2 - 3*a - 18. Let r be c(y). Let d = -11 + r. Is 4 a factor of d? False Let x be 2*(10/6)/(4/6). Suppose -k + 12 = -x*k. Is 6 a factor of (k + 39)*6/8? False Suppose -2*v + 5*o = -6992, 11*o = 4*v + 8*o - 13956. Does 57 divide v? False Let t = -3931 + 4111. Is 4 a factor of t? True Let k(s) = -989*s - 3. Let i be k(-1). Suppose -2*o = -19*o + i. Does 3 divide o? False Let t(n) = -n**3 - 6*n**2 - 5*n + 4. Let r be -5*(10/(-65) - 45/(-39)). Let m be t(r). Suppose m*q - 3*q = 71. Is 19 a factor of q? False Suppose -6*v - 1430 = -16*v. Suppose 28 + v = b. Is b a multiple of 4? False Suppose 64 = 3*r + r. Let q be -3*r/(-12) - 2. Suppose -q*o + 0*o + 156 = 0. Does 18 divide o? False Is -10494*(20/(-15) - (0 + -1)) a multiple of 22? True Suppose -2604 = d + 2*v, -2*d + 4*v - 5232 = -0*v. Let w be d/(-35) - (-9)/21. Is 6 a factor of 3 + (-6 - -2) + -2 + w? True Is 7/(28/(-12))*-909 + -1 + 4 a multiple of 65? True Let l = -148 - -158. Is 24 a factor of (-1955)/l*(6 + -8)? False Let b = 18672 - 6785. Is b a multiple of 47? False Let o be (129/6)/(4/8). Let h = -39 + o. Suppose -4*m + 196 = 4*b, 5*m + h*b + 0*b - 246 = 0. Is m a multiple of 18? False Let t(n) = 2*n**2 - 53*n. Let v be t(-12). Let p = v - 352. Does 14 divide p? False Let f(a) = -7*a - 13. Let u be f(-2). Does 21 divide ((-2 - 3) + 4)/u*-439? False Let p be (-18)/15 + ((-6)/(-15))/2. Is 6*9/54*(7
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {f: 5, b: 1, k: 5, w: 7, l: 1}? 1/171 Three letters picked without replacement from {q: 10, c: 2, b: 4, s: 1, y: 1}. What is prob of picking 2 b and 1 s? 1/136 Four letters picked without replacement from xnncnmnxnnnnnnnxcxn. What is prob of picking 1 m, 2 x, and 1 n? 6/323 Two letters picked without replacement from {s: 2, j: 7, a: 1}. What is prob of picking 1 s and 1 a? 2/45 Three letters picked without replacement from jzjjzjjjzjj. What is prob of picking 3 j? 56/165 Two letters picked without replacement from {h: 3, p: 4}. Give prob of picking 2 h. 1/7 What is prob of picking 2 n and 1 e when three letters picked without replacement from {e: 1, n: 3}? 3/4 Four letters picked without replacement from awagbgbbbweababeab. Give prob of picking 2 a and 2 w. 1/306 Two letters picked without replacement from {v: 1, m: 2, t: 1, p: 4, f: 1}. What is prob of picking 2 p? 1/6 What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 1, g: 5, z: 12, s: 1}? 5/171 Four letters picked without replacement from {m: 2, n: 6}. Give prob of picking 4 n. 3/14 Calculate prob of picking 1 h and 1 p when two letters picked without replacement from nuuppnnpnnunppnhunpp. 7/190 Calculate prob of picking 4 j when four letters picked without replacement from wjwjwjjjwwwwjwjw. 1/52 What is prob of picking 2 o when two letters picked without replacement from oopclccmmvpmvlm? 1/105 What is prob of picking 1 s, 1 b, and 1 j when three letters picked without replacement from jbsjsjbjbbjjssj? 16/65 Calculate prob of picking 2 i and 2 t when four letters picked without replacement from iitttiitiitiitit. 27/65 Three letters picked without replacement from mcxcxxccxxmx. What is prob of picking 3 x? 1/11 Two letters picked without replacement from {b: 1, z: 10, x: 6}. What is prob of picking 1 x and 1 z? 15/34 Two letters picked without replacement from lyyyppllylpylyllp. What is prob of picking 1 y and 1 p? 3/17 Two letters picked without replacement from {y: 14, b: 2, q: 2, c: 1}. What is prob of picking 1 c and 1 y? 14/171 Calculate prob of picking 2 p, 1 d, and 1 k when four letters picked without replacement from {p: 2, d: 9, k: 1, z: 2}. 9/1001 Two letters picked without replacement from {b: 2, s: 2, o: 1, w: 4}. What is prob of picking 1 w and 1 s? 2/9 What is prob of picking 2 f and 1 e when three letters picked without replacement from ffeeeefeeefeeefeef? 15/68 Three letters picked without replacement from javvnnnajevjnnaaannn. What is prob of picking 2 a and 1 j? 1/38 Three letters picked without replacement from {t: 1, e: 5, p: 1, q: 2, s: 1}. Give prob of picking 3 e. 1/12 Calculate prob of picking 3 d when three letters picked without replacement from {v: 2, d: 3}. 1/10 Calculate prob of picking 2 z when two letters picked without replacement from jjzjazj. 1/21 Four letters picked without replacement from {d: 13, m: 6}. What is prob of picking 4 d? 715/3876 Three letters picked without replacement from {u: 3, g: 1}. What is prob of picking 1 g and 2 u? 3/4 Calculate prob of picking 1 b, 1 c, and 1 v when three letters picked without replacement from {v: 3, i: 2, q: 2, o: 4, c: 1, b: 3}. 9/455 Two letters picked without replacement from {f: 3, p: 3, w: 1, m: 1, l: 2, z: 9}. Give prob of picking 1 p and 1 l. 2/57 What is prob of picking 2 f and 1 x when three letters picked without replacement from {x: 2, f: 4}? 3/5 Three letters picked without replacement from kid. Give prob of picking 1 d and 2 i. 0 What is prob of picking 3 z when three letters picked without replacement from zzzgzgzzzzzzzzzzgzzz? 34/57 Calculate prob of picking 1 j and 2 x when three letters picked without replacement from {x: 2, j: 6}. 3/28 Two letters picked without replacement from dddodddooddd. Give prob of picking 1 d and 1 o. 9/22 Three letters picked without replacement from pbpvpebbbsptp. Give prob of picking 1 e and 2 v. 0 Three letters picked without replacement from {j: 2, m: 5, w: 5, b: 7}. What is prob of picking 2 w and 1 m? 50/969 Calculate prob of picking 1 v, 2 d, and 1 w when four letters picked without replacement from {w: 2, d: 2, v: 4}. 4/35 Three letters picked without replacement from {s: 1, z: 1, u: 3, b: 1, q: 3, t: 2}. What is prob of picking 1 u and 2 q? 3/55 Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnnnn. 1 Four letters picked without replacement from {u: 2, q: 9}. Give prob of picking 1 u and 3 q. 28/55 Calculate prob of picking 2 x and 1 s when three letters picked without replacement from {s: 1, h: 1, x: 5, j: 1, e: 2}. 1/12 Four letters picked without replacement from {s: 2, f: 5}. What is prob of picking 4 f? 1/7 Four letters picked without replacement from {x: 1, g: 2, m: 2, k: 6}. Give prob of picking 1 x and 3 k. 2/33 Two letters picked without replacement from {y: 2, g: 3, m: 3}. Give prob of picking 1 g and 1 m. 9/28 Four letters picked without replacement from aaaaaaxraraaaraarraa. What is prob of picking 1 x, 1 a, and 2 r? 28/969 What is prob of picking 1 j, 1 c, and 1 t when three letters picked without replacement from tjwwcj? 1/10 Four letters picked without replacement from uuuuuumuuuuumum. What is prob of picking 3 u and 1 m? 44/91 Two letters picked without replacement from {e: 3, o: 2, u: 1, c: 3, b: 2, t: 3}. What is prob of picking 1 b and 1 u? 2/91 Calculate prob of picking 3 g when three letters picked without replacement from {g: 12, t: 3}. 44/91 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 15, f: 5}. 15/38 What is prob of picking 1 r and 1 s when two letters picked without replacement from rwsswwwqssrusrqssw? 7/51 Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {y: 2, d: 1, z: 2, r: 2, u: 1, s: 1}. 1/9 Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {m: 3, g: 1, z: 6, u: 2, t: 6}. 15/136 Calculate prob of picking 3 e when three letters picked without replacement from eeeee. 1 Two letters picked without replacement from gogoo. What is prob of picking 2 o? 3/10 Two letters picked without replacement from {d: 2, o: 9}. Give prob of picking 2 o. 36/55 Calculate prob of picking 1 u, 1 z, and 1 d when three letters picked without replacement from mputdmztzmmmddmmm. 3/340 Calculate prob of picking 2 r and 2 v when four letters picked without replacement from tvtudnunvvuvvtvtrn. 0 Four letters picked without replacement from {f: 3, y: 6, g: 1, e: 3, z: 1}. What is prob of picking 1 e, 1 g, 1 y, and 1 z? 18/1001 What is prob of picking 1 p and 2 s when three letters picked without replacement from rxxpxxxlxllslxxsx? 1/680 Four letters picked without replacement from yyyyy. Give prob of picking 4 y. 1 Calculate prob of picking 2 j when two letters picked without replacement from {e: 1, c: 1, j: 18}. 153/190 Calculate prob of picking 2 u, 1 o, and 1 m when four letters picked without replacement from {u: 2, m: 1, o: 1, v: 1}. 1/5 Calculate prob of picking 2 p, 1 d, and 1 s when four letters picked without replacement from aladppppapsssapps. 3/85 What is prob of picking 2 t and 2 i when four letters picked without replacement from ridtitiidiiiddidddii? 3/323 Calculate prob of picking 2 u and 1 k when three letters picked without replacement from {i: 2, k: 4, u: 3}. 1/7 What is prob of picking 1 q and 2 a when three letters picked without replacement from {a: 2, c: 3, q: 3}? 3/56 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from {q: 1, o: 1, a: 1}. 1/3 Three letters picked without replacement from gvddgodgggvdddovde. Give prob of picking 3 g. 5/408 Two letters picked without replacement from {i: 5, u: 1, v: 1, q: 13}. What is prob of picking 1 i and 1 v? 1/38 Three letters picked without replacement from nbkckky. Give prob of picking 1 c, 1 k, and 1 b. 3/35 Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {p: 1, j: 12, b: 2, z: 2, q: 3}. 11/95 Three letters picked without replacement from ptttpttge. Give prob of picking 1 t, 1 g, and 1 e. 5/84 What is prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, j: 1, f
{ "pile_set_name": "DM Mathematics" }
irst derivative of -2 + 13 + 0 - 5*g**3 + 13*g**3. Let b(x) = -x. Determine b(t(h)). -24*h**2 Let r(z) = -z**2 + 7*z + 13. Let c be r(9). Let u = 1 - c. Let s(v) = 3 - v**2 + 3 - u. Let b(j) = 7*j. Determine s(b(x)). -49*x**2 Let n(v) = -9809*v. Let l(k) = -7*k**2 - 3. Give n(l(x)). 68663*x**2 + 29427 Let u(q) = q**2. Let v(m) = 48*m**2 + 518*m. What is v(u(t))? 48*t**4 + 518*t**2 Let j(x) be the second derivative of 6*x**3 - 273*x. Let f(q) = -2*q**2. Give f(j(u)). -2592*u**2 Let z(p) = -p + 1. Let b(o) = 12*o - 1. Suppose -3*c - 8 = -2*d - 4, c = -2*d + 4. Let n(r) = d*b(r) + 2*z(r). Let m(q) = q. Determine n(m(k)). 22*k Let u be (4/(-9))/((-42)/189). Let r(s) = -3*s**2 + 3*s**2 - 4*s**2 + u*s**2. Let o(f) = -3*f**2. Determine r(o(z)). -18*z**4 Let l(m) be the second derivative of -m**3/3 + 3*m**2/2 - 2*m. Let p(s) = 3*s - 2. Let y(k) = -2*l(k) - 3*p(k). Let w(v) = 3*v**2. Give y(w(c)). -15*c**2 Let f(v) be the second derivative of v**4/3 - 57*v. Let y(c) be the first derivative of 2*c**2 + 2. Determine f(y(p)). 64*p**2 Let o(k) = 10*k**2 + 7*k - 21. Let p(l) = 3*l**2 + 2*l - 6. Let z(r) = -2*o(r) + 7*p(r). Let h(t) = -10*t**2 - 2*t. Determine z(h(i)). 100*i**4 + 40*i**3 + 4*i**2 Let x(h) = -4*h. Let u(d) = -3*d - 20054. Calculate u(x(w)). 12*w - 20054 Let j(h) = h - 5. Let i(w) be the first derivative of -w**3/3 - 169. What is i(j(o))? -o**2 + 10*o - 25 Let k(o) = -2*o**2. Let i = 34 + -17. Let l(x) = 17*x + 38*x**2 - i*x. What is k(l(j))? -2888*j**4 Let w(h) = 6*h. Let t(v) = 258*v - 15. Give w(t(d)). 1548*d - 90 Let w(y) be the first derivative of y**4/6 + 5*y + 8. Let b(p) be the first derivative of w(p). Let c(j) = 8*j. Give b(c(z)). 128*z**2 Let x(k) = 30746*k**2. Let i(p) = -2*p. Determine x(i(f)). 122984*f**2 Let j(d) = d. Let z(m) = -44*m - 51*m - 32*m - 56*m. Give j(z(f)). -183*f Let t(n) = 4*n**2. Let z(g) = 2*g**2 - 643385. Determine z(t(l)). 32*l**4 - 643385 Let w(p) = -7*p. Let a(x) = 188*x + 3. Let k(u) = 1. Let y(o) = -a(o) + 4*k(o). What is w(y(i))? 1316*i - 7 Let c be ((-8)/(-10))/((-12)/30). Let l(d) = d - 1. Let t(f) = f**2 - 7*f + 7. Let h(v) = c*t(v) - 14*l(v). Let n(q) = -5*q**2 + 15 - 15. What is n(h(m))? -20*m**4 Let a(p) = 29*p**2 - 3*p + 15. Let i(g) = 260*g**2 - 26*g + 130. Let v(x) = 26*a(x) - 3*i(x). Let o(k) = -6*k**2. Calculate o(v(y)). -4056*y**4 Let v(q) = 2*q**2. Let h(d) be the third derivative of -17*d**7/2520 + 7*d**4/12 - 19*d**2. Let k(b) be the second derivative of h(b). Determine k(v(p)). -68*p**4 Let q(m) = 2*m. Let g = -23 - -25. Let t(f) = -15*f**2 + 4*f**g - 6*f**2. Give q(t(p)). -34*p**2 Let y(w) = -2*w**2 + 3*w + 1. Let d(h) = h**2 - 3*h - 1. Let k(n) = -d(n) - y(n). Let g(s) = 534*s. Give k(g(r)). 285156*r**2 Let z(f) be the second derivative of -f**4/12 - f. Let m(h) = 135*h**2 - 10*h**2 - 50*h**2 - 10*h**2. Give z(m(t)). -4225*t**4 Let f(z) = -553*z. Let b(v) = -4800*v. What is b(f(q))? 2654400*q Let u(h) be the third derivative of h**5/12 + 4*h**2 - 29*h. Let z(a) be the first derivative of -7*a**2 - 2. Give z(u(k)). -70*k**2 Let s(z) = z + 94. Let i(p) = 11*p**2 - 52*p. What is s(i(w))? 11*w**2 - 52*w + 94 Let u(t) be the first derivative of 37*t**2 + 6. Let l(h) be the third derivative of h**4/24 + 33*h**2. Calculate u(l(v)). 74*v Let r(z) = -3*z. Let j(c) = -3108*c**2 - 2*c. What is j(r(u))? -27972*u**2 + 6*u Let b(z) = -983115*z**2. Let o(f) = 3*f**2. Calculate o(b(d)). 2899545309675*d**4 Let u(w) = 51*w**2. Let h(k) = 64*k**2. What is u(h(c))? 208896*c**4 Let a(l) = 2*l**2. Suppose -3*o + 33 = -57. Suppose 3*k + o = 6*k. Let h(v) = -4*v**2 - k*v + 6*v + 4*v. What is h(a(i))? -16*i**4 Let q(y) = -166*y**2. Let b(g) = 3*g**2 - 7. Calculate b(q(a)). 82668*a**4 - 7 Let q(k) = -2*k**2 + 34. Let u(i) = -22*i**2 + 5. Let z(r) = 34*r**2 - 8. Let l(v) = 8*u(v) + 5*z(v). Determine q(l(s)). -72*s**4 + 34 Let v(o) = -3*o. Let q(h) be the first derivative of 37 - 1/2*h**2 + 0*h. Give q(v(l)). 3*l Let i(f) = 22*f - 21*f + 4*f. Let q(b) = 4*b. Calculate i(q(m)). 20*m Let c(h) = -45*h**2. Let i(w) = -34*w + 3. Determine i(c(t)). 1530*t**2 + 3 Let s(t) = -47*t. Let o(n) = 3451*n - 3 - 3449*n + 3. Determine o(s(q)). -94*q Let m(a) = a. Let q be (3/(12/(-16)))/(-4). Let j(f) = 1 - q - 3*f. Give m(j(k)). -3*k Let o(q) = -4*q. Let t(f) = 10*f. Let c(h) = 12*o(h) + 5*t(h). Let b(r) = 28*r. Determine b(c(v)). 56*v Let x = 20 + -15. Suppose 5*n + 5*b - 226 - 119 = 0, -3*n + 231 = -x*b. Let f(h) = 72 - h - n. Let m(u) = -5*u**2. Determine m(f(a)). -5*a**2 Let o(t) be the second derivative of 0 + 1/6*t**3 + 14*t + 0*t**2. Let j(r) = 4*r**2. Calculate o(j(m)). 4*m**2 Let q(j) = -10686*j. Let n(y) = 2*y**2. Give q(n(t)). -21372*t**2 Let r(q) = -q. Let p(n) = 15*n**2 + 24*n + 27. Give p(r(i)). 15*i**2 - 24*i + 27 Let r(a) = -3*a**2. Let q(x) = 10*x. Give q(r(d)). -30*d**2 Let c(y) = 2. Let m(q) = 8*q - 64. Let j(l) = 32*c(l) + m(l). Let v(t) = -7*t. Determine v(j(p)). -56*p Let y(u) = 7*u**2. Let b(d) = -5*d - 348 + 176 + 12*d + 176. Give b(y(s)). 49*s**2 + 4 Let l(d) = -176*d - 1. Let m(f) = 1016*f**2 + 1. Give l(m(s)). -178816*s**2 - 177 Suppose 0 = 8*a - 72 + 40. Let r(x) be the second derivative of a*x + 0*x**2 + 0 - 1/6*x**3. Let h(k) = -2*k**2. What is h(r(y))? -2*y**2 Let m = 55 + -5. Let u(q) = 26*q + 25*q - m*q. Let l(h) = -3*h. Calculate u(l(f)). -3*f Let s(l) = 3*l**2. Let g(w) = -9*w**2 - 21*w + 10. Let y(o) = 2*o**2 + o - 2. Let a(r) = -g(r) - 5*y(r). Calculate a(s(u)). -9*u**4 + 48*u**2 Let i(g) = 119272*g**2. Let o(t) = -2*t. Determine o(i(u)). -238544*u**2 Let a(k) = -548*k. Let t(l) = 2*l + 0*l + 10*l - 7*l - 4*l. Calculate t(a(i)). -548*i Let t(g) = -19*g. Let b(c) be the third derivative of -23*c**4/24 + 2*c**2 + 16*c. What is t(b(l))? 437*l Let b(z) = -7*z - 54. Let r(h) = -18*h**2. Determine r(b(w)). -882*w**2 - 13608*w - 52488 Let d(o) = -13*o**2 - 14. Let r(k) = -629*k**2. What is d(r(l))? -5143333*l**4 - 14 Let j(k) = -k - 68. Let a(g) = 86*g**2 + g + 1. Give j(a(q)). -86*q**2 - q - 69 Let u(n) = n. Let a(m) = -52*m - 3. Let s(r) = -6811*r - 392. Let w(o) = 392*a(o) - 3*s(o). What is u(w(p))? 49*p Let b(y) = -5*y**2. Let p = -15 + 16. Let o(d) be the first derivative of -2 + 4*d**3 + 4*d**3 - p - 9*d**3. What is o(b(n))? -75*n**4 Let y(r) = -r**2. Let j(g) = 626871*g. What is y(j(i))? -392967250641*i**2 Suppose 28*v + 3 = 25*v. Let u be v/((-22)/(-6) - 4). Let o(h) = 4*h + u*h - 5*h. Let l(w) = 8*w. Give l(o(m)). 16*m Let b(m) = -m**2. Suppose 2*o - 2*f + 2 = 0, 6*o - f - 7 = o. Let k(i) = 4*i**o - 8 + 8 + 14*i**2. Determine k(b(c)). 18*c**4 Let r(f) = -9908*f. Let z(n) = 3*n**2 - 47. Give z(r(g)). 294505392*g**2 - 47 Let q(x) be the first derivative of -883*x**2/2 + 559. Let k(a) = -2*a. Determine q(k(c)). 1766*c Let p(l) = -2*l**3 - l**2 - l - 2. Let m be p(-2). Let f be (-3)/((-9)/(-39))*-1. Let q(t) = 13*t - f*t + m*t. Let h(k) = 2*k**2. Determine q(h(w)). 24*w**2 Let o be (-1 - 2)/(3/(-10)). Let j(k) = 1 - 17*k - o*k + 29*k + 1. Let i(y) = 2*y**2. What is j(i(c))? 4*c**2 + 2 Let t(o) = -2808*o**2 + 27*o - 108. Let s(h) = 216*h**2 - 2*h + 8. Let m(x) = 27*s(x) + 2*t(x). Let y(u) = 2*u**2. Give m(y(l)). 864*l**4 Let y(o) = -2*o**2. Let d(u) = u + 16*u - 5*u. Let k(c) = 23*c. Suppose 3*z - 211 = -229. Let p(q) = z*k(q) + 10*d(q). What is p(y(h))? 36*h**2 Let n(p) = -3*p. Let f(b) = 42*b - 16*b + 62*b - 9*b. Determine f(n(x)). -237*x Let v(i) be the second derivative of 13*i**3/6 - 8*i. Let d(w) = 2*w**2 - 12*w**2 + w**2 + 6*w**2. What is d(v(s))? -507*s**2 Let g(x) = -x**2. Let b(z) = -84115*z**2. Determine b(g(m)). -84115*m**4 Let o(u) = -565*u**2. Let c(d) = 94*d + 1. Determine c(o(s)). -53110*s**2 + 1 Suppose 14*p - 13*p = g + 5, -2*g = -5*p + 25. Let o(m) be the third derivative of 1/24*m**4 + 0 + 0*m + g*m**3 - 10*m**2. Let j(y) = 4*y**2. Give o(j(k)). 4*k**2 Let q(v) = 19*v. Let f(c) = -25*c**2 + 49*c**2 - 27*c**2. What is q(f(w))? -57*w**2 Let z(l) = 8682*l - 3. Let s(k) = k**2. Calculate s(z(f)). 75377124*f**2 - 52092*f + 9 Let y(f) = -118*f**2. Let m(c) = -c**2 + 118*c + 5. Calculate m(y(j)). -13924*j**4 - 13924*j**2 + 5 Let f(u) be the second derivative of 0*u**2 + 0 - u + 3/2*u**3. Let x(t) = t**2. Determine x(f(l)). 81*l**2 Let y(j) = 27*j**2. Let u(o) be the third deriva
{ "pile_set_name": "DM Mathematics" }
rivative of -p**5/2 - 7*p**4/12 - 7*p**3/6 + 7*p**2/2 + p - 19. What is 4*f(i) + 14*r(i)? 2*i**3 Let r(l) = l - 1. Let g(o) = 70*o**2 - 83*o + 83. Let n(t) = g(t) - 2*r(t). Let i(x) = 5*x**2 - 6*x + 6. Determine -85*i(f) + 6*n(f). -5*f**2 Let z(v) = 4*v + 2. Suppose 3*a = -2*k + 2 + 11, -2*a + 12 = 2*k. Let n be 2 + 1 + (-1)/1. Let o be (-5)/3 + n/(-6). Let c(f) = 2*f + 1. Give k*c(q) + o*z(q). 2*q + 1 Let i(c) = 88*c**3 + 110*c**2. Let h(o) = o**3 + o**2. Calculate -110*h(k) + i(k). -22*k**3 Let m(j) = 20*j**2 + 10*j - 24. Let p(o) = -4*o**2 - 2*o + 5. Determine -3*m(h) - 14*p(h). -4*h**2 - 2*h + 2 Let j(n) be the second derivative of n**5/4 + n**4/12 - 4*n**2 - n. Suppose -30 = 2*x + 3*x. Let k(u) = 4*u**3 + u**2 - 7. What is x*k(b) + 5*j(b)? b**3 - b**2 + 2 Let l(o) = 7*o**2. Let t(v) = -99*v**2. Calculate -55*l(p) - 4*t(p). 11*p**2 Let y(b) = -b**2 - 4*b + 4. Suppose -4*w + 6*w = 18. Suppose 3*z - 4 = -2*v + v, -4*v - z = -16. Let j(p) = 3*p**2 + 9*p - 9. Give v*j(u) + w*y(u). 3*u**2 Let s(x) be the first derivative of -2*x**3/3 - x**2 + x - 2. Let t(c) = c - 1. Suppose 0 - 1 = -f + 5*a, -3*a + 1 = f. Calculate f*s(z) + 2*t(z). -2*z**2 - 1 Let x(h) be the third derivative of h**4/24 - h**3/3 - 52*h**2. Let z(f) = -1. Give -3*x(k) + 4*z(k). -3*k + 2 Let w(c) = 8*c + 11. Let d be (-4)/(-6) - (-16)/3. Let t(p) = 7*p + 10. Let h(k) = d*t(k) - 5*w(k). Let y(a) = -1. What is h(m) + 5*y(m)? 2*m Let l(a) = -a - 1. Let d be l(-3). Suppose -d*i + i + 2 = 0. Let q(z) = -2*z + 1. Suppose -5*f + 0*f + 10 = 0. Let m(v) = v - 1. Determine f*q(w) + i*m(w). -2*w Let l(q) = -4*q + 1. Let i(f) = 8*f - 1. Calculate 6*i(r) + 11*l(r). 4*r + 5 Let f(s) = 4*s - 110. Let a be f(26). Let h(d) be the third derivative of d**4/6 + d**3 - d**2. Let u(m) = -m - 1. What is a*u(p) - h(p)? 2*p Let m(x) be the third derivative of x**5/15 + 5*x**4/24 - x**3/2 - 2*x**2. Let h(r) = -5*r**2 - 6*r + 4. Give 5*h(l) + 6*m(l). -l**2 + 2 Let x(c) = -29*c**3 - 13*c**2 + 13*c. Let y(r) = 7*r**3 + 3*r**2 - 3*r. What is -6*x(n) - 26*y(n)? -8*n**3 Let u(j) = -5*j - 8. Let o(q) = 6*q + 9. Determine 4*o(d) + 5*u(d). -d - 4 Let q(m) = -17*m**3 + 13*m + 9. Let z(c) = 4*c**3 - 3*c - 2. Let i be ((-9)/(-18))/(1/(-4)). Calculate i*q(t) - 9*z(t). -2*t**3 + t Let r(d) = -3*d - 6. Let q(a) = -a + 2*a + 3 - 2. Let w = 10 - 11. What is w*r(s) - 5*q(s)? -2*s + 1 Let s(p) = p - 3. Let z(i) = -4 + 2 - 3 + 4. Give -2*s(a) + 9*z(a). -2*a - 3 Let u(j) = 27*j**2 + 36*j - 36. Let d(g) = -g**2 - g + 1. Give -36*d(i) - u(i). 9*i**2 Let w(x) = 5. Suppose 6 = -3*f - 6. Let b(o) = -o + 6. Give f*w(l) + 3*b(l). -3*l - 2 Let c(l) = l**3 + l**2 - l - 1. Let u(i) = -i**2 + 3*i + 1. Let n be 1/((-3)/15) + 4. Calculate n*c(o) - u(o). -o**3 - 2*o Let y(x) be the first derivative of 2*x**3 - 11. Let h = 5 - 10. Let w = 0 - -1. Let u(i) = i**2. Give h*u(b) + w*y(b). b**2 Let d(i) = -i. Let j(p) = -12*p + 14. Let c(h) = 4*h - 5. Let k(q) = 17*c(q) + 6*j(q). Calculate 6*d(l) - k(l). -2*l + 1 Let y(c) = 2*c + 4. Let b = -11 + 18. Suppose 6*x - 4*s + 28 = 2*x, -x + 4*s = b. Let g = 6 - 11. Let h(p) = -3*p - 6. Give g*h(t) + x*y(t). t + 2 Let j(k) = -k**2. Let w(m) = -20*m + 14. Let s(b) be the third derivative of 7*b**4/24 - 5*b**3/6 - 2*b**2. Let r(v) = 17*s(v) + 6*w(v). What is j(y) - 2*r(y)? -y**2 + 2*y + 2 Let g(s) = 4*s**2 - 6*s + 7. Let u(y) = -7*y**2 + 11*y - 13. Calculate 11*g(t) + 6*u(t). 2*t**2 - 1 Let n(w) = -5*w**3 - 8*w + 6. Let v(l) = l**2 - 9*l + 6. Let q be v(9). Let o(g) = -6*g + 4*g**3 + 7*g - 5 + 6*g. What is q*o(k) + 5*n(k)? -k**3 + 2*k Let p(x) = -x**3 - 4*x**2 - 5*x + 4. Let y(a) = 2*a**3 + 11*a**2 + 15*a - 11. Calculate 11*p(k) + 4*y(k). -3*k**3 + 5*k Let v(m) = 1. Let k(d) = 30*d**2 + 15. Determine k(t) - 15*v(t). 30*t**2 Let b(w) = 11*w - 4*w - 6*w - 3 + 2. Let h(v) = -2*v + 1. Determine -3*b(u) - 2*h(u). u + 1 Let b be (-2 - 2)*(1 - 0). Let w(d) = 2*d**3 + d**2 - 4*d + 4. Let m(f) = 2*f**3 + f**2 - 5*f + 5. Give b*m(z) + 5*w(z). 2*z**3 + z**2 Let c(f) = -4*f - 1. Suppose -2*m - 2 - 4 = 0. Let p(v) = -27*v - 17. Let t(y) = -13*y - 8. Let x(i) = 6*p(i) - 13*t(i). What is m*x(o) - 5*c(o)? -o - 1 Let f(c) = 2*c**3 + 7*c**2 - 7*c + 4. Let g be (6/14)/((-5)/(-35)). Let o(i) = -i**3 - 3*i**2 + 3*i - 2. What is g*f(u) + 7*o(u)? -u**3 - 2 Let y(h) = 57*h**3 - 11*h**2 - 11*h - 11. Let k(w) = 19*w**3 - 4*w**2 - 4*w - 4. Give 11*k(n) - 4*y(n). -19*n**3 Let d(x) = -x - 1. Let a(j) = -5*j - 8. Let n(b) = 6*b. Let v be n(2). Suppose 3*s + v = -6. Suppose 2*q - 3 = -q. Give q*a(u) + s*d(u). u - 2 Let s(n) = -2*n**2 - n - 1. Let t(y) = 3*y**2 - y**2 - 2 - 6*y**2 - 2*y. Let d = -184 + 197. Let h(v) = -2*v**2 - v. Let o be h(-2). What is d*s(m) + o*t(m)? -2*m**2 - m - 1 Let d(h) = -4*h**2 + 1. Suppose 1 = -2*k - 5. Let t(y) = -3*y**2 - y. Determine k*t(f) + 2*d(f). f**2 + 3*f + 2 Let u(m) = 2*m**2 - 2. Let j(p) be the third derivative of -2*p**5/15 + 3*p**3/2 + 6*p**2. Calculate -2*j(t) - 9*u(t). -2*t**2 Let l(i) = 2*i**3 + 6*i**2 - 4*i - 2. Let x(p) = -3*p - p + 2*p + p + p**2 - 1. Suppose 0*d + 3*d + 7 = -4*q, 5*d = q + 19. Give q*x(c) + l(c). 2*c**3 + 2*c**2 + 2 Let b(s) = 41*s**3 + 6*s - 6. Let x(r) = -575*r**3 - 85*r + 85. Determine 85*b(m) + 6*x(m). 35*m**3 Let d(n) be the second derivative of -4*n**3/3 - 7*n**2 - n. Let p(u) = 1. Let f(i) = d(i) + 8*p(i). Let b(c) = 7*c + 5. Determine 7*b(t) + 6*f(t). t - 1 Let c(b) = -9*b**3 + 3*b - 2. Let s(o) = 4*o**3 - o + 1. Let k = 3 - 0. Determine k*c(h) + 7*s(h). h**3 + 2*h + 1 Suppose 4*u - 21 + 5 = 0. Suppose u*t - 3*o = 6 - 17, -4*o = 3*t - 23. Let z(j) = j + 1. Let g(d) = 5*d + 3. Give t*g(p) - 4*z(p). p - 1 Let p(h) = -3*h**3 + 2*h**2 + 2*h - 1. Let t(f) be the second derivative of -7*f**5/20 + f**4/3 + 5*f**3/6 - f**2 + 6*f. Determine 5*p(x) - 2*t(x). -x**3 + 2*x**2 - 1 Let t(r) = -r**3 + 3*r**2 - r + 4. Let w(o) = 2*o**3 - 7*o**2 + 3*o - 9. Give 9*t(k) + 4*w(k). -k**3 - k**2 + 3*k Let q(z) = 2*z. Let c(v) = -v. Suppose -5*t = 6 - 31. Let a = 3 + 0. Let m be (-1 + 2)/(a/24). Calculate m*c(k) + t*q(k). 2*k Let j(h) = -3*h - 2. Let i(m) = 55*m + 42. Let v(l) = 138*l + 105. Let r(t) = 12*i(t) - 5*v(t). Determine -21*j(q) + 2*r(q). 3*q Let q(s) = -3*s**2 - 4*s - 2. Let j(g) = g**3 - 5*g**2 - 7*g - 4. Give -3*j(l) + 5*q(l). -3*l**3 + l + 2 Let w = -1 + 4. Let o(u) = -3*u + 3. Let t(b) = -13*b + 13. Let k(m) = 9*m - 9. Let d(r) = 7*k(r) + 5*t(r). Calculate w*o(y) - 4*d(y). -y + 1 Let b(u) = 5*u**2 + 3 - 5 - 2*u + u. Let n(o) = 6*o**2 - 2*o - 2. Give -4*b(r) + 3*n(r). -2*r**2 - 2*r + 2 Let z(u) be the second derivative of -u**3/3 - 7*u**2/2 - 7*u. Let y(q) = 3*q + 8. What is 3*y(i) + 4*z(i)? i - 4 Let z be ((-12)/(-4))/(6/4). Let a(f) = -2 + 1 + 2 + z*f**2 + 0 + 5*f. Let s(p) = p**2 + 2*p. What is -2*a(t) + 5*s(t)? t**2 - 2 Let u(b) = 8*b**2 - 1. Let m(t) = -7*t**2 + 1. Determine -7*m(f) - 6*u(f). f**2 - 1 Let b(o) = -o**3 - o**2 + o - 1. Let i be b(-2). Let j(y) = -y**2 - 2*y - 1. Let f(k) = k + 1. Determine i*j(v) + 2*f(v). -v**2 + 1 Let m(s) = 1. Let f = -7 - -10. Suppose 3 = f*g - 3. Let c(o) = -o + 3. Give g*c(z) - 6*m(z). -2*z Let x(a) = -7*a**2 + 7*a + 4. Let c(z) = -6*z**2 + 6*z + 3. Give 5*c(s) - 4*x(s). -2*s**2 + 2*s - 1 Let j(c) be the first derivative of -3*c**4/4 + c**3 + c**2 + 2*c - 8. Let x(b) = -b**3 + b**2 + b + 1. Determine -j(n) + 2*x(n). n**3 - n**2 Suppose 4 = 5*q - 41. Let v(w) = w**2 + 4*w - 4. Let o(g) = -2*g**2 - 9*g + 9. Suppose -11*x = -14*x - 63. Let b = -17 - x. Give b*o(u) + q*v(u). u**2 Let b(j) = 6*j - 19. Let l(y) = 4*y - 13. Let r = 26 - 33. Calculate r*l(c) + 5*b(c). 2*c - 4 Let r(o) = 8*o**2 + 2. Let j(u) be the first derivative of -23*u**3/3 - 6*u - 5. Calculate -6*j(a) - 17*r(a). 2*a**2 + 2 Let g(u) = 6*u**2 - 5*u. Let x(v) = 6*v**2 - 3*v - 2. Let o be x(3). Suppose o = -5*h + 8. Let l(k) = -9*k**2 + 7*k. Determine h*g(m) - 5*l(m). 3*m**2 Let j(t) = -3*t**2 + 2. Let g(l) = 40*l + 12*l**2 - 3 - 6 - 39*l. Give 2*g(s) + 9*j(s). -3*s**2 + 2*s Let u(d) = 3*d**2. Let b(h) be the first derivative of 2*h**3/3 + 2. Calculate 7*b(g) - 5*u(g). -g**2 Let c(k) be the third derivative of -k**4/24 + k**3/6 - 22*k**2. Let j(x) = x - 14. Let h be j(11). Let g(m) = 3*m**3 - 3*m + 3. Determine h*c(o) + g(o). 3*o**3 Let m(r) = r**2 - 5*r - 5. Let
{ "pile_set_name": "DM Mathematics" }
, u? -1 Let g = 0.6 + -0.5. Let j be (1*-1)/(7 + -8). Let i be (27/15)/(-3)*j. Which is the second smallest value? (a) g (b) i (c) -3 b Let n = -0.8 + 0. Let s = n - -0.4. Let f = 6 + -8. What is the smallest value in s, f, 0? f Let q be (6/46)/(20/(-8)). Let h = q + -128/1955. Let y = 3 + -3.4. What is the third biggest value in -2, h, y? -2 Let l = -34 - -33. Which is the fourth smallest value? (a) 2 (b) -11 (c) 0.1 (d) l a Let n = 5 - 6. Let j = n + 1.5. What is the biggest value in -0.2, j, 0.1? j Let x = 2.01 + -1.9. Let h = 0.14 - x. Which is the second smallest value? (a) h (b) 3 (c) 0.4 c Let l = 108 - 93.2. Let u = 15 - l. Which is the smallest value? (a) 9 (b) u (c) -0.2 c Let i = 12.45 + -12. Let b = 34.05 - 34. Let g = i - b. What is the second biggest value in 2, 1, g? 1 Let z be (-8)/(-2) + 2 + -2. Let i = -0.2 - 0.5. Let n = -3.3 + i. What is the smallest value in z, 1, n? n Let t = 44 - 30. Let o = t - 14.2. What is the second biggest value in 0.2, -3, o? o Let a be (-21)/52 + (-2)/(-56)*7. Let q(m) = -m + 3. Let p be q(0). What is the second smallest value in p, a, 5? p Suppose -5*w + 0*w = -15. Which is the biggest value? (a) w (b) 6 (c) -0.4 b Let o be (2/6)/((-8)/12). Let l = 6.1 - 1.1. What is the smallest value in -3, o, l? -3 Let f(v) = -v**3 - 2*v**2 + 5*v + 4. Let q be f(-3). Let g be 1*(3/2 - 2). Let w = 29 + -28.7. Which is the second biggest value? (a) w (b) q (c) g c Let i = -0.514 + 0.114. Which is the third smallest value? (a) -0.3 (b) i (c) -2 (d) -2/11 a Let p = -0.45 - -0.05. Let b be 6 - 2/(-6)*0. Let t be 2 - (b/21 - -2). What is the third biggest value in t, 2, p? p Let n = 12 - 17. Which is the third smallest value? (a) 5 (b) -2/5 (c) n a Let w = -1.1 + -1.3. Let z = -7.6 + w. Let f = -8 - z. Which is the smallest value? (a) f (b) 4/7 (c) -1/3 c Let w be (-1)/(-12)*45/10. What is the fourth biggest value in -5/3, 3, -4/7, w? -5/3 Let q = 7 - 4. Let w(n) = n**3 + n - 3. Let v be w(0). Which is the second biggest value? (a) q (b) 1/2 (c) v b Let m = 0.56 - 0.27. Let a = -0.01 - m. What is the biggest value in -1/7, 2/5, a? 2/5 Let u(d) = d**2 + 11*d + 8. Let w be u(-10). What is the second biggest value in 1/7, -4, w? w Let m be (0 - (-3)/(-5))*(-15)/18. Which is the third biggest value? (a) 5 (b) 11 (c) m c Let l = -4.03 + 0.03. Let j = 9 + l. Which is the biggest value? (a) j (b) -1 (c) 0 a Let w = -6 + 5.7. Which is the second biggest value? (a) w (b) 3 (c) 2/3 c Let l = -6.2 + 6.6. Which is the fourth biggest value? (a) 3 (b) -1/3 (c) l (d) 20 b Let q be (-9)/(-24)*6 + -2. Let w = 4 - 3.5. Which is the smallest value? (a) 0 (b) q (c) w a Suppose 3*l = -2*p + 8*l - 15, p + 10 = 3*l. Let r be (-2)/30 + 2/p. What is the second smallest value in -3, r, -0.4? -0.4 Let o = 1.9 - 1.8. Which is the biggest value? (a) 0.2 (b) o (c) 1/3 (d) 0 c Suppose 8*o - 2*o = 0. Which is the third biggest value? (a) 4 (b) o (c) -2 c Let l = -1449/40 + 957473/26280. Let t = 1/73 + l. Let m be 2/4 + 5/(-6). Which is the second biggest value? (a) -4 (b) t (c) m c Let w = 262/15 - 81497/4665. Let i = 615/2177 - w. Let f = 0.01 + -4.01. Which is the second smallest value? (a) f (b) 1 (c) i c Let i = -16 + 24. Which is the third smallest value? (a) -0.2 (b) 5 (c) i c Let x = -12.1 + 12.1. Which is the second biggest value? (a) -15 (b) x (c) 0.2 (d) 5 c Let j = 33 + -131/4. What is the second biggest value in 0.4, j, -4? j Let f be 4 + -4 + 3 + -23. Let i be 10/14*8/f. Which is the second biggest value? (a) i (b) 5 (c) -0.4 a Let m be 2/(-8) - 169/156. What is the third smallest value in 6, m, 5? 6 Let l(p) = -p + 8. Let j be l(4). What is the third biggest value in -0.3, j, 0.2? -0.3 Let j be 24 + -25 - (-1 + -3 + 1). Let m = -30/19 + 155/38. Which is the smallest value? (a) 6/11 (b) m (c) j a Let k = -7 + 0. Which is the second smallest value? (a) 5 (b) k (c) -1 c Let y = 0.6 - 0.4. Let x = 6 + -11. Let u = x + 8. Which is the second smallest value? (a) 2 (b) u (c) y a Let i be ((-1*2)/(-2))/(-9). Let f = -13/36 - i. Let o = 5.12 + -0.12. Which is the smallest value? (a) o (b) -0.1 (c) f c Let p = -3 - -2.8. Let j = -0.3 - p. Suppose 8 = 3*w + 17. What is the biggest value in w, j, 3? 3 Let s be (-2)/(-3)*1/(-2). Let y be (2/(-7))/((-10)/3545). Let d = y - 101. Which is the second smallest value? (a) -1/2 (b) d (c) s c Let u = 0.09 + 4.91. Let i = -1 - -7. Let d be (2/(-2))/(3/i). What is the second smallest value in -3/5, d, u? -3/5 Let p = 8 - 14. Let d = p + 7. Which is the second smallest value? (a) d (b) 0.2 (c) -4/3 b Suppose -4*m = -3*q - 2 - 17, -7 = 2*q + 3*m. What is the second biggest value in q, 9, 2? 2 Let s = -2/15 + 11/45. Which is the third smallest value? (a) 3 (b) s (c) -0.08 a Let f be (-28)/(-21)*(-1)/10. Let m = 25/12 - 7/4. Which is the second smallest value? (a) m (b) f (c) 2/9 c Let x = 4.864 + 0.136. What is the smallest value in x, 0.2, 3, -0.2? -0.2 Let n = -47 - -36.6. Let x = n - -2. Let i = x + 8. What is the smallest value in -0.1, i, 2? i Let w be ((-3)/12*0)/2. Let m = 8 - 13. Which is the second smallest value? (a) w (b) m (c) -0.5 c Let n = -1.4 - -1.5. Which is the second biggest value? (a) 2/3 (b) 1/2 (c) n b Let h = 0.26 - -0.04. Let m = 0 + h. What is the second biggest value in m, -2, 2? m Let g = 1/2 + 5/6. Let q = 2 + 0. Which is the smallest value? (a) 4 (b) q (c) g c Let o = 35 + -41.2. Let j = -0.16 + -5.84. Let x = j - o. Which is the smallest value? (a) x (b) -1/5 (c) -5 c Let p = -4/13 + 45/104. Let l = 6.7 + 0.3. Let m = 3 - l. What is the third smallest value in -2/7, p, m? p Let h = 1 - 1.3. Which is the second smallest value? (a) -1 (b) h (c) -3 a Let i(f) = -f**3 + 6*f**2 - f + 6. Let k be i(6). Suppose -4*t + 0*t + 8 = 0. Which is the third biggest value? (a) 0.2 (b) k (c) t b Let y be (10/4 - -2)/3. Let q = -0.35 + 0.45. Which is the second biggest value? (a) y (b) -0.5 (c) q c Let u be 4 - 2 - (-7)/(-4). What is the biggest value in u, 0.3, -2/9? 0.3 Let p be ((-10)/16)/(1/(-4)). Let a(u) = -u**2 - 9*u. Let w be a(-9). What is the second biggest value in -5, w, p? w Let i = 1.1 + 5.6. Let r = 7 - i. Let v = -8 - -6. Which is the third biggest value? (a) v (b) 2 (c) r a Let w = -0.9 + -0.1. Let p = -27572610661/4009 + 6877678. Let i = p + -1/211. Which is the third smallest value? (a) i (b) w (c) -1/4 a Let v = 5 - 2. Let l = v + -2. Let s = l - -2. What is the biggest value in s, 0, -0.4? s Let l = 1.8 - 0.4. Let f = -1.5 + l. Which is the second smallest value? (a) f (b) -4 (c) 5/4 a Let b be (-5)/15*(3 - 0). Let u be (b/2)/(4/(-32)). Let s = 648/5 + -130. What is the third biggest value in 5/3, s, u? s Let t(i) = i + 13. Let s be t(-11). Suppose 3*k + 23 - 5 = 5*o, 2*k - 4 = -s*o. What is the biggest value in 0.4, -0.5, o? o Let f = 10 + -10.1. Let r = f - 3.9. Which is the second smallest value? (a) 2/11 (b) r (c) -2/9 c Suppose -4*l + 2*o = 2, -l - 4*o - 7 = 7. Let u = 3 + -7. Which is the third biggest value? (a) -10 (b) u (c) l a Let n = -0.06 - -0.36. Let y be -2*4/(-24) - 1. What is the second smallest value in n, y, 2? n Let o = -988 - -983.89. Let f = -0.11 - o. Let i = f - 4.4. What is the third biggest value in -1/9, i, 4/5? i Let q = -118 + 943/8. What is the second biggest value in -4, q, 2/3, 0.1? 0.1 Let g = 0.01 + -0.41. Let o = -3.4 - -1.4. Which is the second smallest value? (a) o (b) g (c) 0.3 b Let o = -11 - -21. Let b be (-6)/o - (-6)/10. Suppose 0*u = -2*u + n - 12, b = 5*n - 20. What is the second smallest value in 4, u, -3? -3 Let b be 30/(-27)*6/15. Let r(s) be the second derivative of s**3/6 - 11*s**2/2 + 2*s. Let k be r(11). What is the smallest value in b, 1/3, k? b Suppose 0 = -2*m + 7*o - 8*o + 1, 4*o + 12 = 0. Let w = -0.6 - 4.4. What is the third biggest value in w, 1/4, m? w Let p be (18/(-27))/(2/3). Let i = -1 + 0. Let k be i/4 + 57/(-12). What is the biggest value in p, 5, k? 5 Let o = 2.05 - 0.05. Let r = 52.2 + -52. What is the third smallest value in 3, o, r? 3 Let h be (-4)/4 + (-2)/(-1). Let f be (h - -1)/(1 + -2). What is the second smallest value in 3/2, f, 0.3? 0.3 Let z(s) = -s**2 - 7*s - 6. Le
{ "pile_set_name": "DM Mathematics" }
**2 - 21*l Expand 21*t**3 - 13*t**3 + 43*t**3 + (1 - 1 - t)*(3*t**2 + 0*t**2 - 5*t**2) - t**3 - 4*t**3 + 3*t**3 - t**2 + t**3 + t**2. 52*t**3 Expand (-3*w + 2*w - w)*(-2058 + 2058 - 140*w)*(0*w**3 + 2*w**3 + 0*w**3). 560*w**5 Expand (4*k + 3*k - 5*k)*(-3 + 3 - 1) + 0*k + 0*k - 2*k + (-9 - 8 - 51)*(-2*k + 0 + 0). 132*k Expand 8 - 8 + x**3 + (2*x + 6*x**2 - 2*x)*(2*x - 4*x - x). -17*x**3 Expand (-10821 + 96*n**3 + 10821)*(-3*n + 2*n**2 + n + n). 192*n**5 - 96*n**4 Expand (18 + 4 - 6)*(0 + 0 - v)*(1 - 1 + 4*v**2)*(-2 + 2 - v). 64*v**4 Expand (0*u - 2*u + 4*u)*(-5 + u + 5)*(3 - 4 - 3) + (-3*u**2 + 0 + 0)*(0 + 0 - 2) - 9 - 10*u**2 + 9. -12*u**2 Expand (-b - b + 3*b)*(1 - 709*b**2 + 3 - 2 - 2). -709*b**3 Expand (-w**2 - 8*w**2 + 4*w**2)*(24*w - 54*w + 27*w). 15*w**3 Expand (3 + 2 - 4 - 4*a)*(-8 + 1 - 3 + (-5 + 2 + 1)*(0 + 1 - 2)). 32*a - 8 Expand 3 - 3 - 2*n + (1 + 0 + 0)*(-1 - 8 + 4)*(-12*n - 4*n + n). 73*n Expand (8*j - 27*j - 8*j)*(-4*j + j + 30*j). -729*j**2 Expand 2*b**4 - 2*b**4 - b**4 + (-1 + 4 + 3)*(-4*b**4 + 3*b**4 - b**4). -13*b**4 Expand (1 + 0 + 3*h - 2*h)*(-2 - 3*h**3 - h**3 + 6*h**3) + (h**3 - 2*h**4 - h**3)*(-6 + 1 - 7). 26*h**4 + 2*h**3 - 2*h - 2 Expand (2219 - 2219 + 180*z - 4*z + 2*z + z + (z - z + z)*(3 + 0 - 5) + 3*z - z - 4*z - 4*z - z + 3*z)*(z**2 - 2*z**2 - 3*z**2). -692*z**3 Expand (-1 - 2*h + 1)*(1 + 2*h - 1) + 4*h**2 + 3 - 3 + (3*h - h - h)*(-2*h - 1 + 1) - 3*h + 3*h + 3*h**2. h**2 Expand ((3*j + 3 - 3)*(-2*j**3 - 2*j**3 + 6*j**3) + (2*j**3 - 4*j**3 + 4*j**3)*(-2*j + 4*j - 3*j))*(j + 2*j - 2*j). 4*j**5 Expand (-2 - 3 + 4 + (-2 + 6 - 3)*(1 - 3 + 1)*(-11 - 11 - 4))*(-6*o + 18*o + 17*o). 725*o Expand (0*b + 2*b - b)*(2*b + 0*b - 114*b - 6*b). -118*b**2 Expand (0 - 2*y**2 + 0)*(3 + 1 - 2) + y**2 + 0*y + y - 2*y + (-3*y + 4*y - 3*y)*(10 - 82 - 43)*(-2*y - 2*y + 6*y). 457*y**2 - y Expand (-1 + 48*i**2 - 27*i**2 - 4*i**2)*(3*i**3 + 4*i**3 - 5*i**3). 34*i**5 - 2*i**3 Expand (-4*i**2 + 35*i**2 + 2*i**2)*(0*i**2 + 0*i**2 + 2*i**2). 66*i**4 Expand -5*v**5 - 21*v**5 + 3*v**5 + v**5 - v**5 - v**5 + (-4*v**3 + 2*v**3 + 4*v**3)*(-2*v**2 + 0*v**2 + 0*v**2) + 3*v + 3*v**5 - 4*v**5 - v**5. -30*v**5 + 3*v Expand -2*a**3 + 0*a**3 + 5*a**3 + 2*a**2 - 2*a**3 - 2*a**2 + (a + 2 - 2)*(-2*a**2 - 3 + 3) - 23 + 24 - a**3 + 10*a**3. 8*a**3 + 1 Expand (15*a - 6*a + 6*a + (-2 + 1 - 1)*(-a + 2*a + 2*a) + a + a - 3*a)*(4 + 4 - 5). 24*a Expand 183 - 76 + 10*n - 78 + n + 2 - 2 + (1 - 1 - 1)*(-4*n + 4*n + 2*n). 9*n + 29 Expand (5*m + 4*m + 15*m)*(-m**2 - m - 19 + 19). -24*m**3 - 24*m**2 Expand (1 - 1 + d)*(-d**3 + 415*d**2 - 47 + 2*d**4 - 415*d**2). 2*d**5 - d**4 - 47*d Expand (-4*w**3 - 4*w**2 + 4*w**2)*(-5*w - 3*w + 4*w) + ((-2 + 2 + w)*(0 + 1 + 1) - 3*w + 0*w + 2*w)*(-w**3 + 4 - 4). 15*w**4 Expand (l + l**3 - l)*(-10*l + 12*l - 10*l) + l**4 - 7*l**3 + 0*l**3 + 4*l**3. -7*l**4 - 3*l**3 Expand (-44*s**3 + 111*s**3 + 346*s**3)*(-3 + 3 - 2)*(3 + 2 - 3). -1652*s**3 Expand -61*j - 56*j - 184*j + 2 - 2 - j + 2*j + 2 - 2 + (j + 4*j - 3*j)*(-6 + 2 + 2) - 3*j - 3*j + 7*j. -303*j Expand (-1 - 3*r + 1)*(3*r - r - r)*(15 - 2*r - 15). 6*r**3 Expand (-37 + 91 - 21)*(-2*a - 1 + 1) - 4*a + 2 - 2. -70*a Expand (v + 3*v - 8*v)*(0 - 3 - 1)*((-2 + 3 - 2)*(2 + 0 - 3) - 5 - 1 - 6). -176*v Expand (0*x**2 + 2*x**2 - 4*x**2 + (-2 + 2 - x**2)*(-1 - 2 + 4) - 1 + 1 + 2*x**2 - x + x**2 + x + x - x + 4*x**2)*(5*x**2 - 2*x**2 - x**2). 8*x**4 Expand (-x + 0*x - 3*x)*(-326 + 16 - 96)*(2*x**2 - 2*x**2 - x**2)*(4*x - x - 2*x). -1624*x**4 Expand 3*t**2 - 4*t**2 - t**2 + 4*t**2 - 3*t**2 + 0*t**2 + (-4 + 4 - 2*t)*(t - 4*t + t) - 1 + 21*t**2 - 17*t**2 + 0. 7*t**2 - 1 Expand (-1 - m + 1)*(-144*m**2 + 144*m**2 + 64*m**3). -64*m**4 Expand (25 - 104 - 28 - 71)*(3*u**4 - u**4 + 0*u**4). -356*u**4 Expand (-3*w + 6*w + 0*w)*(35*w**3 + 2*w**3 + 16*w**3) + (-2*w + 2*w + 2*w)*(-5*w**3 + 5*w**3 - w**3). 157*w**4 Expand -3 + 3 - 2*l + (7 + 3 + 88)*(l - 5*l + 2*l). -198*l Expand (-161*d**3 + 1295*d**2 - 1295*d**2)*((-2 - 1 + 1)*(3 - 3 + 2*d) - 2*d + 1 - 1). 966*d**4 Expand (0 + 2 + 1)*(3 - 1 - 7)*(1 - 4 + 0)*((0 + 1 + 0)*(5*t - 4*t + t) - 4*t - 2*t + 3*t). -45*t Expand -27*w**3 - 33*w**3 + 62*w**3 + (-2*w + 3*w - 3*w)*(-8*w**2 - 2*w**2 + 6*w**2). 10*w**3 Expand (2*a**2 - 4*a + 4*a)*(2 - 1 - 2) + (4*a - 4*a - a)*(2*a + 0*a - 3*a) - 7*a**2 - 6*a**2 + 30*a**2. 16*a**2 Expand -4 + 4 - 2*g + (-2*g - 2 + 2)*(2 + 1 - 1) + 2*g - 2*g + g + (-1 - 1 + 3)*(-3 - 2*g + 3) + 13*g - 4*g + 0*g. 2*g Expand (0*z - 2*z + 3*z)*(23 - 36 + 20 + 32). 39*z Expand -q + 1217 - 36*q - 1213 + (-4 + 3 - 1)*(3*q + q - 2*q). -41*q + 4 Expand (-5*n + 0*n - 13*n)*(3 - 2 - 2)*(8*n + 0 + 0). 144*n**2 Expand (-3 - 1 - 2)*((2*p - 3*p + 2*p)*(-8 + 3 - 1) + (-1 + 2 + 0)*(-p + 2*p + 0*p)*(-1 - 1 + 3)). 30*p Expand (-2 + 2 - 2*o)*(0 - 1 + 10)*(-1 + 3 + 0)*(-1 + 1 + 2*o + (-1 - 5 + 5)*(0*o - 3*o + 0*o)). -180*o**2 Expand (-103 + 103 - 23*h)*(3 + 3 - 5) + 2*h - 2*h + 4*h + 1 - 1 + h - 3 + 3 + 2*h + (-2 + 6 - 3)*(-3*h + 5*h - h) + 2*h - 5*h + 4*h + 4 - 4 + h. -13*h Expand (-c - c + 4*c + 7 - 7 + c + 0*c + c + c + (2 - 2 - 3)*(-c - 1 + 1))*(0 + 2*c + 0). 16*c**2 Expand (-4*j - 1 + 1)*(-7*j - j - 3*j)*(5*j**2 - 126*j + 126*j). 220*j**4 Expand (2*u**5 + 0*u**5 + 0*u**5)*((-4 + 3 + 0)*(6 - 3 - 1) + 513 + 96 + 33). 1280*u**5 Expand (2 - 4 - 1)*(187*l - 431*l - 2*l). 738*l Expand (2 - 2 - 1)*(-295*v + 211*v + 309*v). -225*v Expand (-2*d**2 + 3*d**2 - 2*d**2 + (-3 - 2 + 3)*(d**2 + 3*d**2 - 5*d**2) - 27*d + 6*d**2 + 27*d + (-6*d**2 + 4*d**2 + 13*d**2)*(3 + 1 - 5))*(-2 - d + 2). 4*d**3 Expand (-2*y - y + 10*y + 1)*(-2*y**2 + y**2 - y**2)*(5 - 3 + 0)*(-1 + 2 + 3). -112*y**3 - 16*y**2 Expand (1 + 0 + 0)*(-3 - 2*v + 10 + 1) + (0*v - 2*v + v)*(1 - 4 + 2)*(0 + 3 - 5). -4*v + 8 Expand k**2 + 4*k**2 - 3*k**2 + (5*k + k - 5*k)*(-k + 3*k + 5*k) - 2*k**2 - 5 + 5. 7*k**2 Expand ((-4 + 3 + 2)*(3 + 0 - 4) + 2 + 2 - 2)*(75*v**2 - v + 27*v**2 + 17*v**2). 119*v**2 - v Expand 3 + 5*d**4 - 3 + (2*d**2 + 2 - 2)*(-d**2 + 0*d**2 + 3*d**2) + 4*d**4 - 6*d**4 + 6*d**4. 13*d**4 Expand n - n + n**3 + (2*n - 2*n**2 - 2*n)*(3*n - n + 0*n) - 3*n**3 - 10*n**3 - 39*n**3 + (-1 + 1 + n**2)*(1 + 2*n - 1). -53*n**3 Expand (35 + 45*n - 35)*(-23 + 2 + 8). -585*n Expand (-1 + 1 + 4 + (-2 - 1 + 1)*(2 - 3 - 1))*(-8*x + 11*x - 8*x). -40*x Expand (-4 - 3 + 6)*(2*d**2 - 4*d**2 - d**2)*(99 + 114 - 280)*(-4 + 1 + 2)*(d**3 + 2*d**3 - d**3). 402*d**5 Expand (-3 - 2*c + 4 + 1)*(-2*c - c - 2*c) - 3*c - 3*c**2 + 3*c. 7*c**2 - 10*c Expand (-1 + 1 - 2*c**2)*(-9*c + 15*c + 1 - 17*c). 22*c**3 - 2*c**2 Expand (-1 + 2 - 2)*(0*g + 9*g - 2*g)*(-123 + 123 + 80*g**2). -560*g**3 Expand -2*m**3 + 3*m**3 + m**3 + (-2*m - 5*m + 6*m)*(m**2 + 0*m**2 + 0*m**2) + m**3 - 4*m**3 + 5*m**3 + (-2*m**2 + 5*m**2 + 4*m**2)*(0*m + m + m). 17*m**3 Expand (j + 0*j + 5*j)*(-j + 4 - 4) - 2*j**2 - 2*j**2 + j**2 - 5*j**2. -14*j**2 Expand (3 - l - 3)*(964 - 16*l - 964) + (-2*l - l + 2*l)*(l - 6*l + 4*l) + 1 + l**2 - 1 + 5*l**2 - l**2 - 2*l**2. 20*l**2 Expand 502 + a**3 - 2*a**4 - 502 + (3*a**3 + 3*a**3 - 4*a**3)*(-4*a + 3*a - 3*a). -10*a**4 + a**3 Expand ((13*h + 10*h - 20*h)*(-2 - 1 + 1) + h + 2 + 0 - 3*h)*(-136*h + 136*h - 12*h**2)*(-2 + 1 + 0). -96*h**3 + 24*h**2 Expand 6*v - 4*v - v + 2*v - 3 + 3 + (0*v - 3*v + v)*(1 - 7 + 4) + (10*v + 7*v - 7*v)*(-2 - 1 + 5). 27*v Expand -10*h**4 - 3*h**4 + 20*h**4 + 0 + 0 - h**4 + (-5*h + 5*h + 2*h)*(-2 - h**3 + 2). 4*h**4 Expand (-2*d + 2 - 2 + (-4 + 0 + 3)*(1 - 1 + d) - 2*d + 0*d - 2*d + 3 + d - 3)*(30*d - 15*d + 33*d) + 0*d**2 - d**2 + 0*d**2. -289*d**2 Expand (3*a + 3*a**4 - 3*a)*(-84*a + 234*a - 32*a + 1486*a). 4812*a**5 Expand (-18*m + 18*m - m**3)*((2 - 2 - 7)*(0*m**2 + 5*m**2 - 4*m**2) + m**2 - m**2 + m**2). 6*m**5 Expand -113*v**2 - 39 - 4*v**3 + 108 - 69 - v**3 + v - v + 4*v**3 - 3*v**3 + v**3 + (-3*v**2 + 2*v**2 + 0*v**2)*(2*v - 4*v + v). -2*v**3 - 113*v**2 Expand (-8*l**3 - 8*l**3 + 7*l**3)*(1 + 2 - 2) + l - 2*l**3 - l + (-2*l**3 + 3*l**3 - 4*l**3)*(2 + 1 - 1) + 2 - 2*l**3 - 2. -19*l**3 Expand (-19*s**2 + 7*s**5 + 2*s**3 + 19*s**2)*(1 + 2 + 6 + 3 + 1 - 3 + (-1 + 1 - 2)*(-5 + 2 + 1) + 0 - 3 + 1). 84*s**5 + 24*s**3 Expand (0*f + 4*f - 5*f)*(-f + f + f) - 3 + 3 + 3*f**2 + (-152*f - 286*f + 65*f)*(5*f - 5*f - 2*f). 748*f**2 Expand 3*s + 4*s**5 - 5*s**5 + 0*s**5 + (-2*s**4 + 3*s**2 - 3*s**2)*
{ "pile_set_name": "DM Mathematics" }
Suppose -392*k - 67003543 = -263821814 - 62582633. Is k a prime number? False Suppose 0 = 10*w + 5348 + 43842. Let g = 7638 + w. Is g a composite number? False Let z be (-15020)/3 - 2/(-3). Suppose 5*f = 5*a - 10, f = 19*a - 14*a + 10. Is (z/f)/((-10)/(-25)) prime? True Suppose -12*r - 24*r = -2687004. Is r composite? True Let a = 158 + -140. Is (-1 - a/(-15))*(30 + 38555) prime? True Let q(m) be the first derivative of 73*m**5/60 - 7*m**4/24 + 46*m**3/3 - 46. Let f(i) be the third derivative of q(i). Is f(19) prime? True Let q = -55 - -62. Suppose -q + 15 = 2*t. Is (-2)/(1/(-822)*t) a composite number? True Let b be -4 + (-260)/(-70) - 12/7. Let x(p) = 62*p**2 - 3*p. Is x(b) composite? True Suppose 4*w + 2114 + 4542 = 3*f, -f + 4997 = -3*w. Let c = w - -2516. Is c a prime number? False Let c(z) = -33685*z - 1054. Is c(-9) prime? True Let z(m) = 68*m**2 - 14*m - 34. Let v be z(-10). Suppose 0 = 5*y + y - v. Is y composite? False Suppose 18 = -27*r + 24*r, -5*h + 35737 = 3*r. Is h a composite number? False Suppose -3*n + 6*q = -142605, 1093 + 46477 = n + 3*q. Is n composite? True Let r(o) = o**2 - 8*o + 9. Let x be r(7). Suppose -6*l = -2*l + 3*m + 24, -x = -2*l - 5*m. Let h(b) = -b**3 - 7*b**2 + 8*b - 16. Is h(l) a composite number? True Let w be (259/(-14))/((-3)/198). Suppose 27*c - 16*c = w. Is c composite? True Suppose -p + 109 - 111 = -2*s, -p = s - 4. Let f be -1 - (1*-1153 + 0). Suppose q = s*v - q - 2264, -v - 3*q + f = 0. Is v a prime number? False Suppose 0 = -5*w + w + 2232980. Suppose 172039 - w = -34*m. Is m composite? True Let o = 5902 - 9000. Let i = o + 7089. Is i composite? True Suppose -428*f = -429*f - 2*m + 1161, -f + 5*m = -1182. Is f composite? True Let g(q) = -q**3 + 8*q**2 + 32*q + 16. Let f be g(11). Suppose -l = f*n - 71973, -5*n = -8*n + 5*l + 43195. Is n a composite number? True Suppose -3*q - 16436 = -y, -17*y + 65789 = -13*y + 3*q. Suppose 4*m + 20*v = 15*v + y, -4*m + 16405 = -3*v. Is m prime? False Suppose 5*k - 176018 = -z + 106643, 282661 = z - 2*k. Is z composite? False Let b be -4 + (-28342)/(-2) - 5. Let k = b + -9925. Is k a composite number? True Let t be (-3 + (-48)/(-20))/(8/(-24280)). Let h = t + -1070. Is h a composite number? False Suppose -281 + 31 = -10*v. Suppose 0 = -v*l + 130538 + 226487. Is l composite? False Suppose 86 - 10 = 4*l. Let d(h) = -h**3 - 8*h**2 + 10*h + 32. Let y be d(-9). Suppose -y*q + 2356 = -l*q. Is q a composite number? True Suppose 4872 = 2*y + 4*g, 0 = 4*y - 5*g - 11365 + 1634. Suppose 5*x - 5*h - y = 4*x, 0 = 2*x - 3*h - 4861. Is x a composite number? True Let x be (20/(-72) - 4/18)*-10. Suppose 0 = -3*m, -5*a + x*m = -2*a - 18. Suppose 11*b - a*b - 3515 = 0. Is b prime? False Let j(i) = -i**3 + 91*i**2 + 211*i + 61. Is j(40) prime? False Let m(b) = -27*b**3 - 18*b**2 + 36*b + 80. Is m(-19) a composite number? False Let h(p) be the first derivative of -3*p - 39/2*p**4 - 1 + 2/3*p**3 - 3/2*p**2. Is h(-2) a prime number? False Let o = -4304 - -24897. Is o a composite number? False Suppose 4*v - 4 + 2 = -i, 3*v = 2*i - 4. Is 266208/120 - i/5 prime? False Let y(f) = -445*f - 102. Let z be y(-28). Suppose -10*v = -z + 2178. Is v composite? True Suppose y - 80536 = 5*o, -20 + 24 = -4*o. Is y prime? False Suppose -5*k - p = -60, -6*p + 2*p = 0. Suppose k*r - 4*r = 8. Let h(m) = 308*m**2 + 2*m - 1. Is h(r) a composite number? True Suppose -28 = -6*x - x. Suppose -x*l = 2*l - 35778. Is l prime? False Is ((-10)/(-80))/(4/226144) prime? False Let t = -47235 - -110822. Is t composite? False Suppose -2*f = 3*f - 5545. Let y = 21 - f. Let z = y + 1561. Is z a prime number? False Let w be (-9*20/75)/(6/(-20)). Is 2094/w - (-5)/20 a composite number? True Let r(j) = 104*j - 2. Let t(x) = 106*x - 3. Let f(i) = 4*r(i) - 3*t(i). Let m = -9 - -13. Is f(m) composite? True Let u = 20 + -36. Let p(r) = -r**3 - 14*r**2 - 23*r + 9. Is p(u) prime? False Let o = -255600 + 454109. Is o composite? True Suppose -14*n + 172 + 136 = 0. Suppose 3*h - 8 - n = 0. Suppose 11802 = h*y - 15868. Is y composite? False Let x(t) = -t**2 + 9*t - 9. Let v be x(7). Suppose 0 = s - v*s + 24. Suppose -s*k = -k - 4075. Is k composite? True Is (1/(-3))/(-2*(-8)/(-3764496)) a composite number? False Suppose 68*c - 3423981 = 2718255. Is c a composite number? True Let p(q) = q**2 + 3*q - 7. Let h be p(-5). Suppose -y = -0 - h. Is (-5)/15 + 1039/y composite? True Let w(m) = m**2 + 4*m + 2*m + 1203619 - 1203639. Let d be 2*(1 - (-11)/(-2)). Is w(d) a composite number? False Let t(q) = 192*q**2 + 267*q - 358. Is t(-41) composite? False Suppose -5*r - x + 10 = 0, 2*r + 3*x = 6 - 2. Suppose -r*y - 5 = -9. Suppose -2*t + 825 = g - 0*t, 4*t = y*g - 1634. Is g composite? False Let u(n) = n**2 + 16*n - 6. Let d be -13 - ((-4)/(-6))/((-2)/(-6)). Let p be u(d). Let b(a) = -a + 32. Is b(p) composite? False Is (6 - 12)/24*-8 + 128529 prime? False Let w(b) = -b**3 - 8*b**2 - 8*b - 9. Let j be w(-7). Let g(z) = z. Let h be g(j). Is (-2)/5 + (567/5 - h) composite? True Suppose 3*l - 6*b + 4*b - 5 = 0, -4*l + 18 = 3*b. Suppose -3*r + 1450 = 3*h + 379, h - l*r = 365. Is h prime? True Suppose -169*i - 8 = -173*i. Suppose i*s + 8*j = 6*j + 8228, -4*j = -5*s + 20543. Is s prime? True Let q = -270 - -491. Suppose -q = -8*j - 5*j. Suppose 7*u + 20990 = j*u. Is u a prime number? True Suppose -y + 3*y + 1509896 = 4*u, -377441 = -u - 5*y. Is u a composite number? False Let i(m) = m**2 + 8*m + 21. Let f be i(-6). Suppose -f*z + 13*z - 716 = 0. Is z prime? True Let c(z) = -406*z**3 + 2*z**2 + 9*z + 7. Let a(f) = 203*f**3 - f**2 - 4*f - 3. Let g(s) = -5*a(s) - 2*c(s). Let m be (4/6)/((-2)/3). Is g(m) composite? True Suppose 3*b + 0 - 3 = 0, -a - 5*b + 1 = 0. Suppose 0 = -0*x - x. Is -2*(1/a*326 + x) composite? False Let x = -4045 + 1710. Let d = 3522 + x. Is d a prime number? True Let d = 235 - 220. Is 11274 + (-4 + 3)/((-3)/d) a composite number? False Suppose 0 = 2*v + 3*c + 179, -3*v - 2*c - 266 = 3*c. Let q = v + 49. Let i = 85 + q. Is i a composite number? False Let y = 642 + -1742. Let j = 1989 + y. Is j composite? True Let y(l) be the third derivative of 1/60*l**5 - 7/6*l**3 + 0*l + 1/3*l**4 + 0 - 14*l**2. Is y(-10) prime? True Suppose 30*x = 45 + 75. Suppose x*i - 6*s = -5*s + 3654, 4*i - 3646 = 5*s. Is i prime? False Let d(h) = -245*h + 362. Let l(i) = -i**3 - 8*i**2 + 9*i - 2. Let v be l(-9). Let r(j) = -49*j + 72. Let x(k) = v*d(k) + 11*r(k). Is x(-21) prime? True Suppose 2*n - 5 = 5. Suppose 32*p - 55308 = -12*p. Suppose 3*i - 1006 = -4*x - 0*i, n*x = -4*i + p. Is x a composite number? True Let l be -145 + (-2 - -5) + -2. Let m be (l/(-21))/((-2)/(-112)). Suppose -3*o - 3*q + 590 = -622, -o + m = 5*q. Is o a composite number? False Let v = 62681 - 29182. Is v a composite number? True Let o(n) = -106*n + 21. Let g be o(10). Let y = g - -10388. Is y a prime number? True Let r = -52972 + 107893. Is r prime? False Let u = 63370 - -219037. Is u a composite number? False Let q(v) = -324*v - 169*v + 16*v - 25. Let n be q(-9). Is 1/(-2*(-2)/n) a prime number? False Let o be (-26)/195 + (-92)/(-15). Suppose 8*v - o*v - 12 = 0. Suppose 5*g = 0, -8*g = 2*a - v*g - 466. Is a prime? True Let b(x) = 5229*x**2 - 234*x - 911. Is b(-4) a prime number? True Let k(r) = -288*r - 79. Suppose 0 = 5*j + 63 - 38. Is k(j) composite? False Let x be (-565)/(-2)*7912/(-230). Let a = 17921 + x. Is a prime? False Suppose 3*t + 94*t = 17262799. Is t composite? False Suppose -5*x + 3*c - 23761 = 0, -x + c + 9500 = -3*x. Let o = x - -7492. Is o prime? True Let l(j) = 64*j**2 - 32*j + 4231. Is l(-69) a prime number? False Let u(k) = -k**3 - 16*k**2 - 3*k + 17. Let y(m) = m**3 + 18*m**2 - 16*m + 39. Let x be y(-19). Is u(x) composite? False Suppose 2*x = 4*y + 140, 4*x + 2*y + 3*y = 215. Suppose 5*k = -42*o + 40*o + 224, 3*k - 141 = o. Suppose -2*i + x = -k. Is i composite? False Let p be -7 + 0 + -16 + 2. Is (-2 - p)*(-472)/(-8) a composite number? True Suppose t = -2*c - 0*t + 47, c - 10 = -5*t. Suppose 2*b - 7*b + c = 0. Suppose -1701 = -4*j - b*v, -829 - 448 = -3*j - 4*v. Is j composite? False Suppose 126*f - 35*f = 1969877. Is f a composite number? False Let i(a) = a**3 + 22*a**2 + 34*a + 13. Let p be i(-17). Suppose -20*t = -4*t - p. Is t a composite number? True
{ "pile_set_name": "DM Mathematics" }
78*c + 348 = 0. Calculate c. -6, -1, 3, 29 Let 10*i**2/13 - 866*i/13 - 348/13 = 0. What is i? -2/5, 87 Factor 5*x**4 - 55*x**3 - 585*x**2 + 1315*x - 680. 5*(x - 17)*(x - 1)**2*(x + 8) What is b in -b**5/9 + 4*b**3/9 - 2*b**2/9 - b/3 + 2/9 = 0? -2, -1, 1 Determine g, given that -28*g**4 - 328*g**3 - 548*g**2 + 1192*g - 288 = 0. -9, -4, 2/7, 1 Determine j, given that -j**4/7 + 3*j**3/7 + 12*j**2/7 - 20*j/7 - 48/7 = 0. -2, 3, 4 Factor -2*r**2 + 6*r - 4. -2*(r - 2)*(r - 1) Let 5*s**5/6 - 55*s**4/6 + 205*s**3/6 - 305*s**2/6 + 25*s = 0. Calculate s. 0, 1, 2, 3, 5 Factor -2*c**3/5 + 2*c**2/5 + 112*c/5 + 288/5. -2*(c - 9)*(c + 4)**2/5 Factor -2*g**3 - 214*g**2. -2*g**2*(g + 107) Factor -q**3/5 + 68*q**2/5 + 4*q/5 - 272/5. -(q - 68)*(q - 2)*(q + 2)/5 Factor -2*t**4/7 + 64*t**3/7 - 96*t**2 + 2304*t/7. -2*t*(t - 12)**2*(t - 8)/7 Factor -a**4 + 59*a**3 - 1003*a**2 + 3861*a - 2916. -(a - 27)**2*(a - 4)*(a - 1) Factor a**4/8 + 3*a**3 + 33*a**2/4 + 8*a + 21/8. (a + 1)**3*(a + 21)/8 Determine t, given that -t**5/3 + 29*t**4/3 + 35*t**3 - 293*t**2/3 + 160*t/3 = 0. -5, 0, 1, 32 Factor k**3/5 + 4*k**2 - 43*k/5 + 22/5. (k - 1)**2*(k + 22)/5 Factor -2*z**5/9 - 10*z**4/9 - 4*z**3/3. -2*z**3*(z + 2)*(z + 3)/9 Find o, given that 3*o**2 - 249*o + 246 = 0. 1, 82 Factor -3*h**3 - 90*h**2 + 408*h. -3*h*(h - 4)*(h + 34) What is q in 136497879*q**4 - 407199555*q**3 - 6869394*q**2 - 38532*q - 72 = 0? -2/357, 3 Let 3*w**5/8 - 3*w**4/8 - 27*w**3/8 + 39*w**2/8 + 3*w - 9/2 = 0. What is w? -3, -1, 1, 2 Let -3*v**3/5 - 54*v**2/5 + 57*v/5 = 0. Calculate v. -19, 0, 1 Let -5*a**4 - 3520*a**3 - 929280*a**2 - 109035520*a - 4797562880 = 0. What is a? -176 Factor 2*g**2/19 - 2676*g/19 + 895122/19. 2*(g - 669)**2/19 Factor -8*h**3/5 + 26*h**2/5 - 22*h/5 + 4/5. -2*(h - 2)*(h - 1)*(4*h - 1)/5 What is p in 3*p**5 + 51*p**4 + 234*p**3 + 42*p**2 - 1005*p + 675 = 0? -9, -5, 1 Factor a**3 + 15*a**2 + 48*a + 44. (a + 2)**2*(a + 11) Solve -128*m**3 + 864*m**2 - 1944*m + 1458 = 0. 9/4 Factor -2*v**4/3 + 86*v**3/3 - 322*v**2 + 294*v. -2*v*(v - 21)**2*(v - 1)/3 Solve -55*h**4 - 450*h**3 + 140*h**2 + 1800*h + 320 = 0 for h. -8, -2, -2/11, 2 Factor -2*s**3/9 + 868*s**2/3 - 94178*s. -2*s*(s - 651)**2/9 What is u in 3*u**2 + 177*u + 174 = 0? -58, -1 Find i such that 2*i**3/3 + 166*i**2 + 10736*i + 148840/3 = 0. -122, -5 Factor l**2 + 2*l - 8. (l - 2)*(l + 4) Factor -2*j**3/5 + 24*j**2 - 360*j. -2*j*(j - 30)**2/5 Factor -2*i**3/3 - 166*i**2 + 334*i - 502/3. -2*(i - 1)**2*(i + 251)/3 Solve w**4/3 - 14*w**3/3 + 4*w**2 + 14*w/3 - 13/3 = 0 for w. -1, 1, 13 Determine k so that 5*k**2 - 665*k + 1950 = 0. 3, 130 Factor 2*p**2/7 - 2936*p/7 + 2934/7. 2*(p - 1467)*(p - 1)/7 Factor 2*n**4 - 48*n**3 + 286*n**2 + 48*n - 288. 2*(n - 12)**2*(n - 1)*(n + 1) Determine f so that -f**4/6 - 19*f**3/3 = 0. -38, 0 Suppose -2*n**5/11 - 8*n**4/11 + 32*n**3/11 + 4*n**2 - 30*n/11 - 36/11 = 0. What is n? -6, -1, 1, 3 Find n such that -9*n**5/8 - 11*n**4/8 + 25*n**3/8 + 15*n**2/8 - 2*n - 1/2 = 0. -2, -1, -2/9, 1 Find m such that -4*m**2 - 76*m + 80 = 0. -20, 1 Suppose -3*h**3 + 6*h**2 + 15*h - 18 = 0. Calculate h. -2, 1, 3 Suppose 3*j**5 - 12*j**4 - 9*j**3 + 66*j**2 - 12*j - 72 = 0. Calculate j. -2, -1, 2, 3 Solve 2*q**2/17 + 18248*q/17 + 41623688/17 = 0 for q. -4562 Determine v, given that 4*v**4 - 24*v**3 - 364*v**2 - 1104*v - 1008 = 0. -3, -2, 14 Factor 81*j**4 - 927*j**3 - 572*j**2 + 388*j - 48. (j - 12)*(j + 1)*(9*j - 2)**2 Factor 47*c**2/6 + 15*c/2 - 1/3. (c + 1)*(47*c - 2)/6 Factor 2*o**2/5 + 74*o/5 + 108. 2*(o + 10)*(o + 27)/5 Suppose 2*l**2/5 + 968*l/5 + 966/5 = 0. Calculate l. -483, -1 Find j such that 3*j**5/2 + 9*j**4/2 - 27*j**3/2 - 81*j**2/2 = 0. -3, 0, 3 Factor 4*i**2 + 1448*i. 4*i*(i + 362) Solve q**2/3 + 91*q/3 - 92/3 = 0 for q. -92, 1 Solve -g**4/3 + 10*g**3 - 29*g**2/3 = 0 for g. 0, 1, 29 What is g in 5*g**4 - 55*g**3 + 225*g**2 - 405*g + 270 = 0? 2, 3 Factor -5*l**4 - 20*l**3 + 25*l**2. -5*l**2*(l - 1)*(l + 5) Factor -j**2/3 + 1544*j/3 - 595984/3. -(j - 772)**2/3 Find g such that 3*g**5 + 33*g**4 + 60*g**3 - 96*g**2 = 0. -8, -4, 0, 1 Let -4*l**4 - 9*l**3 + 2*l**2 + 9*l + 2 = 0. What is l? -2, -1, -1/4, 1 Suppose -4*n**4/7 + 8*n**3/7 + 16*n**2/7 - 8*n/7 - 12/7 = 0. What is n? -1, 1, 3 Solve -4*q**4/9 - 14*q**3/9 - 14*q**2/9 - 4*q/9 = 0 for q. -2, -1, -1/2, 0 Factor -3*k**2 + 16740*k - 23352300. -3*(k - 2790)**2 Factor 5*v**3 + 335*v**2 + 970*v + 640. 5*(v + 1)*(v + 2)*(v + 64) Factor t**3/8 + 855*t**2/8 + 243675*t/8 + 23149125/8. (t + 285)**3/8 Let q**4 + 7*q**3 - 14*q**2 - 48*q = 0. What is q? -8, -2, 0, 3 Determine d, given that 3*d**4 - 36*d**3 - 177*d**2 - 234*d - 96 = 0. -2, -1, 16 Factor g**2/5 + 12*g/5 - 64/5. (g - 4)*(g + 16)/5 Determine b, given that 4*b**5/3 - 32*b**4 + 548*b**3/3 + 280*b**2/3 - 496*b - 1120/3 = 0. -1, 2, 10, 14 Find s, given that 48*s**3 + 2472*s**2 + 1227*s + 153 = 0. -51, -1/4 Find o such that -o**5/2 + 5*o**4 + 23*o**3/2 - 68*o**2 + 14*o + 88 = 0. -4, -1, 2, 11 Factor -5*y**2 - 2585*y + 5190. -5*(y - 2)*(y + 519) Solve 25*u**5 - 195*u**4 - 56*u**3 + 132*u**2 - 32*u = 0. -1, 0, 2/5, 8 Solve 2*d**2 - 242*d = 0. 0, 121 Factor 5*l**3 + 30*l**2 - 585*l + 1350. 5*(l - 6)*(l - 3)*(l + 15) Factor -2*z**2/3 - 44*z/3. -2*z*(z + 22)/3 Solve 8*t**4 + 356*t**3/5 + 276*t**2/5 - 104*t/5 - 64/5 = 0. -8, -1, -2/5, 1/2 Find p such that 38*p**4/7 - 110*p**3/7 - 12*p**2/7 + 152*p/7 + 16/7 = 0. -1, -2/19, 2 Factor 2*m**3/5 + 38*m**2/5 - 284*m/5 + 80. 2*(m - 4)*(m - 2)*(m + 25)/5 Suppose -2*d**3/5 + 14*d**2/5 + 28*d/5 - 96/5 = 0. Calculate d. -3, 2, 8 Let 4*y**5 + 88*y**4 - 108*y**3 - 8064*y**2 + 6480*y + 129600 = 0. Calculate y. -15, -4, 6 Solve -2*u**3 - 136*u**2 - 2016*u + 10368 = 0. -36, 4 Solve -12*k**4 + 4*k**3 + 68*k**2 + 76*k + 24 = 0. -1, -2/3, 3 Factor -2*x**4 + 198*x**3 - 4594*x**2 - 15198*x - 10404. -2*(x - 51)**2*(x + 1)*(x + 2) Find d, given that -2*d**5/3 + 2*d**4/3 + 10*d**3/3 - 2*d**2/3 - 16*d/3 - 8/3 = 0. -1, 2 Suppose z**3/4 + 395*z**2/4 + 197*z/2 = 0. What is z? -394, -1, 0 Suppose o**4 + 3*o**3 - 10*o**2 - 24*o = 0. Calculate o. -4, -2, 0, 3 Factor 3*v**3 + 393*v**2 + 13440*v + 36864. 3*(v + 3)*(v + 64)**2 Let 3*b**5 + 6*b**4 - 33*b**3 - 24*b**2 + 60*b + 48 = 0. What is b? -4, -1, 2 Factor 3*w**3/4 + 45*w**2/4 + 189*w/4 + 243/4. 3*(w + 3)**2*(w + 9)/4 Factor -4*g**4 + 72*g**3 - 404*g**2 + 720*g. -4*g*(g - 9)*(g - 5)*(g - 4) Suppose -5*l**3 + 35*l**2 = 0. What is l? 0, 7 Factor 5*o**5 + 5*o**4 - 60*o**3 - 140*o**2 - 80*o. 5*o*(o - 4)*(o + 1)*(o + 2)**2 Determine k so that -15*k**5/4 + 123*k**4/2 + 459*k**3/4 - 231*k**2/2 - 111*k + 54 = 0. -2, -1, 2/5, 1, 18 Let -4*j**3 - 64*j**2 - 276*j - 360 = 0. Calculate j. -10, -3 Find s such that -s**3/8 - 103*s**2/8 - 203*s/8 - 101/8 = 0. -101, -1 Factor 3*i**2/5 - 16182*i/5 + 21821427/5. 3*(i - 2697)**2/5 Factor 4*o**5 - 92*o**4 + 88*o**3. 4*o**3*(o - 22)*(o - 1) Let l**3/9 - 10*l**2/9 - 32*l/3 = 0. What is l? -6, 0, 16 Factor -5*a**2 - 420*a - 4615. -5*(a + 13)*(a + 71) Factor -w**2/2 - 2*w. -w*(w + 4)/2 Find a such that -2*a**4/17 - 24*a**3/17 - 104*a**2/17 - 192*a/17 - 128/17 = 0. -4, -2 Suppose -5*m**3 + 435*m**2 - 9240*m - 9680 = 0. Calculate m. -1, 44 Let -g**5/6 - 11*g**4/6 + 25*g**3/6 - 13*g**2/6 = 0. What is g? -13, 0, 1 Factor s**5/4 + 83*s**4 - 167*s**3 + s**2/2 + 667*s/4 - 167/2. (s - 1)**3*(s + 1)*(s + 334)/4 Find v, given that 5*v**4 - 505*v**3 + 4690*v**2 - 12860*v + 10920 = 0. 2, 6, 91 Determine f, given that 2*f**2/9 - 53*f/9 + 26/9 = 0. 1/2, 26 Factor 2*f**3 + 43*f**2 + 18*f - 63. (f - 1)*(f + 21)*(2*f + 3) Factor 5*u**4 - 15*u**2 + 10*u. 5*u*(u - 1)**2*(u + 2) Let 3*i**5 - 12*i**4 + 48*i**2 - 48*i = 0. What is i? -2, 0, 2 Find r such that -4*r**2 + 9*r - 2 = 0. 1/4, 2 Factor 343*x**4/4 - 34349*x**3/4 - 14805*x**2/2 - 2119*x - 202. (x - 101)*(7*x + 2)**3/4 Suppose -n**3/4 - 3*n**2/4 - n/2 = 0. What is n? -2, -1, 0 Factor u**3 - 16*u**2 - 19*u + 34. (u - 17)*(u - 1)*(u + 2) Determine o so that -3*o**5 + 408*o**4 - 18219*o**3 + 254334*o**2 + 564972*o + 292008 = 0. -1, 46 Factor 3*h**2 + 27*h + 42. 3*(h + 2)*(h + 7) Factor q**2/2 - 228*q - 457/2. (q - 457)*(q + 1)/2 Find d such that 2*d**3 - 4*d**2 - 26*d - 20 = 0. -2, -1, 5 Factor 4*o**4 - 564*o**3 + 552*o**2 + 1120*o. 4*o*(o - 140)*(o - 2)*(o + 1) Suppose 5*m**4/3 + 5*m**3
{ "pile_set_name": "DM Mathematics" }
et c(n) be the third derivative of -1/60*n**5 + 0*n + 14*n**2 + 0 + 0*n**3 + 1/6*n**4. Give c(p). 0 Let u = 153 + -217. Let q = -58 - u. Let d(s) = 14 - 9 - 3*s**3 + 2*s**2 + 4*s**2 + 2*s**3 + q*s. Give d(7). -2 Let k(s) = s**2 + 3*s. Let c(u) = -u. Let p be c(-5). Suppose p*j - 3*j = 18. Suppose -3*l - j = -4*b, 3*l + 5 = 5*b - 4. Calculate k(l). 0 Let l(d) = 2*d + 46. Suppose -w - 78 = 2*w - 9. Calculate l(w). 0 Let m(r) = 66*r**3 - 4*r**2 - 4*r - 9. Let x(p) = -7*p**3 + p**2 + p + 2. Let n(w) = m(w) + 4*x(w). Give n(-1). -39 Let q(s) = -s**2 + 15*s - 340661 + 681461 - 340583. Calculate q(-9). 1 Let t(h) = -h**3 + 3*h**2 - 6*h + 9. Let l(u) = 5*u**3 - 13*u**2 + 30*u - 47. Let f(x) = -2*l(x) - 11*t(x). Let i be 5/2 - 21/(-6). Calculate f(i). -5 Let g(h) = h**2 + h - 2. Suppose -54 = n - 72. Suppose 6*i = -0 + n. What is g(i)? 10 Let g(c) = 29 - 3*c - 4*c**2 - 19*c**2 + 143*c**3 - 144*c**3 + 12*c**2. Determine g(-10). -41 Let z(x) = -6*x + 6. Suppose 163 + 17 = -18*l. Calculate z(l). 66 Let r(j) = 5*j**2 + 9*j - 8. Let u(g) = 4*g**2 + 8*g - 7. Let q(x) = -6*r(x) + 7*u(x). Let b be (-3)/18*-4*(-2 - -14). Let t = b - 6. Calculate q(t). -5 Let g be -2 - (18/(-27) + (-3)/9). Let f(w) = 24*w + 17. What is f(g)? -7 Let p be 180/(-300)*20/(-36). Let q(o) be the first derivative of 5/2*o**2 - p*o**3 + 0*o - 1. Calculate q(5). 0 Let w(f) = 2731 - 695*f - 2970 + 691*f. Give w(-49). -43 Suppose -d + 3 = -0. Let o(s) be the first derivative of -s**2/2 + 3*s - 6049. Calculate o(d). 0 Suppose 3*g = -4*d - 15, -209*g = -207*g - 3*d + 10. Let x(q) = -q + 1. Let c(a) = 3*a + 8. Let b(n) = -c(n) + 2*x(n). What is b(g)? 19 Let r be 4*22 - (-68)/17. Let z = r + -89. Let v(i) = -i - 4. What is v(z)? -7 Let m be (-12)/8*-2 + 47. Suppose 8*g = 13*g - m. Let a(n) = -9*n - 2*n - g + 6*n + 4*n. Calculate a(-7). -3 Let b(i) = -i**2 + 5*i + 3. Suppose 15*u = 230 + 430. Let t = 51 - u. Calculate b(t). -11 Let p(m) be the second derivative of m**5/30 - m**4/24 + m**3/2 + 100*m**2 + 228*m. Let k(b) be the first derivative of p(b). Calculate k(3). 18 Let q = 127 - 60. Suppose -j = -2*a - q - 0, 2*j - 3*a = 139. Let s = 81 - j. Let l(f) = f**2 - 3*f - 4. Give l(s). 0 Suppose 0 = -67*y - 1215 - 259. Let t(z) = z**3 + 21*z**2 - 23*z - 22. Calculate t(y). 0 Let y(q) = -26*q - 1. Let n = 72 + 39. Let m = n - 112. Give y(m). 25 Suppose 0 = 3*b - 8*b + 40. Let k(j) be the third derivative of j**4/8 - 11*j**3/6 + 4*j**2 + 177. Give k(b). 13 Let z(g) = -1 - 2 + 803*g + 800*g + 41*g**3 - 1606*g. What is z(-1)? -41 Let l(p) = 5*p + 1928 + 1940 - 3807. Calculate l(-10). 11 Let f(k) = k**2 + 10*k - 14. Let p be (-4 + 2)/(3*(-3)/18). Let s(y) = 4*y - 27. Let r be s(p). What is f(r)? -3 Let z(t) = t**3 - 3*t**2 - 3*t + 2. Let q(n) = -5*n + 27. Let g be q(-5). Let l = 52 - g. Suppose 4*w = -l*w + 8. Calculate z(w). -8 Let j(b) = b**2 + 13*b + 2. Suppose 0 = 5*s + y - 0*y - 793, 310 = 2*s + 4*y. Let v = s - 170. Give j(v). -20 Let s(m) = 6*m + 3. Suppose -587 = 9*n + 1213. Let r = n + 196. What is s(r)? -21 Let s(o) be the second derivative of -o**6/360 - o**5/40 + o**4/8 - 15*o**3/2 - o + 8. Let i(a) be the second derivative of s(a). What is i(-4)? -1 Let l(s) = -s**3 - 7*s**2 + 13*s + 20. Let w be l(-8). Let k be (-2)/w*4 - (-14)/(-35). Let u(o) = o**2 - 5. Calculate u(k). -5 Let d(f) = 5*f**2 + 12*f + 15. Let m be (-4)/6 + 20/(-15). Let i(n) = -12*n**2 - 23*n - 30. Let v(b) = m*i(b) - 5*d(b). Calculate v(-11). 18 Let h(f) = 4*f**2 + f**2 - f**3 - 3*f - 1 - 2. Suppose 101*c - 227 - 27 = 49. Determine h(c). 6 Suppose 0 = 14714*p - 14711*p - 3*h - 15, 5*p + 4*h = -56. Let c(g) be the first derivative of g**3/3 + g**2/2 - 5*g - 1. Calculate c(p). 7 Let f(i) = 2*i**2 - 6*i - 5. Let v be 6/(-8) + (-2145)/(-156). Let p be 5/1 + (13 - v). What is f(p)? 15 Suppose -c - 5*r - 33 = -0*c, 4*c - 5*r = -7. Let g = -2 - c. Let s(p) = p**2 + 2 - 8*p + 21*p - 21*p + 3*p. Calculate s(g). 8 Let h(n) = -25*n + 115. Let c be 7/(175/(-10))*-10. What is h(c)? 15 Let l(f) = 335 - 746 + 404 - 5*f. Give l(4). -27 Let m(a) = a**3 - 2*a**2 - 2. Let j(w) = -w**2 + w - 7. Let c(g) = g - 6. Let z be c(6). Let o be j(z). Let u be ((-21)/(-9))/o*-6. Determine m(u). -2 Let z(t) = 2*t**2 + 9*t - 13. Suppose -8*m - 39 = l, 0 = l + 3*m - 43 + 62. Give z(l). 22 Let j = 4 + -8. Let a be ((-24)/(-20))/((16/(-10))/(-4)). Let u(r) = -a*r - 4*r**2 + 2 - r**2 + 4*r**2 - 6. Calculate u(j). -8 Let n(u) = -u**2 - u - 2. Let c(t) = -t**2 + 2*t - 1. Let v be c(0). Let b be ((-4)/(-3) + v)*(3 - 3). Suppose b = 3*p + 27 - 21. What is n(p)? -4 Let x(c) = c**2 - 3*c - 9. Let o(z) = z**2 - 12*z + 40. Let g be o(7). Let l be x(g). Let m(r) = 10*r**3 - r**2. Calculate m(l). 9 Suppose 3*d = -r - 7, -2*r + 6*d - 2*d + 6 = 0. Suppose 3*n = -3, -2*p + 7*p + 4*n - 6 = 0. Let c(j) = 3*j - 6*j + 6*j**2 + 0 + p*j - 1. What is c(r)? 6 Suppose -b = 5, -4*b - 112 = -3*w - 41. Suppose -20*d - 21 = -w*d. Let s(v) = -v**3 - 6*v**2 + 7*v - 5. Determine s(d). -5 Let h = -17 + 20. Suppose -r = -p - 7, 3*p = -0 + h. Let d(v) = 2*v**2 + 10*v + 2. Let j(q) = 5*q**2 + 21*q + 3. Let u(a) = 7*d(a) - 3*j(a). Calculate u(r). -3 Let p(t) be the first derivative of -3*t**2/2 - 3*t - 1. Suppose 49*y = 2*z + 53*y + 48, 2*z - 3*y = 22. Determine p(z). 9 Let r(x) = x**3 + 6*x**2 + 3*x - 3. Let l(t) = -7 + 2*t**3 - 6*t**2 + 16*t**2 + 2 + t**2 + 4*t. Let f(z) = -3*l(z) + 5*r(z). Determine f(-4). 4 Let o(c) = -c**2 + 7*c + 6. Suppose -4*r + 3 = -r, 0 = g - 2*r - 65. Let t = 76 - g. Give o(t). -12 Let d(o) = 197 + 3*o - 386 + 197. Determine d(-4). -4 Let y(w) = w**3 - 4*w**2 + w - 7. Let n = 2813 - 2808. Give y(n). 23 Let h = 15186 + -15193. Let j(p) = -26*p - 194. Determine j(h). -12 Let f(k) = 7*k**2 - 15*k + 3. Let u(x) = -11*x**2 + 23*x - 4. Let d(j) = -8*f(j) - 5*u(j). Suppose 5*c + h = 3*h + 19, 4*c - 3*h - 18 = 0. Calculate d(c). 2 Let o(l) = 71*l + 31. Let n be o(10). Suppose 0 = 739*z - n*z - 4. Let j(c) = c**3 + 3*c**2 + 4*c + 5. Give j(z). 1 Let w(n) = 7*n + 8. Suppose 10*r = -6*r + 112. Let k(s) = -10*s - 11. Let d(x) = r*w(x) + 5*k(x). Let j = -12 + 5. Determine d(j). 8 Let h(y) be the third derivative of y**6/60 + y**5/60 - 7*y**4/24 - 3*y**3/2 + 1473*y**2. Determine h(-2). -7 Let p(d) = -d**2 + 14*d - 2. Suppose 9*l - 304 = 13*l. Let h be l/(-6) - (-8 - 52/(-6)). What is p(h)? 22 Suppose -82*i + 98*i - 80 = 0. Suppose -2*g = 2*g, -i*g = 5*f - 20. Let x(d) = -d**2 + 2*d + 5. What is x(f)? -3 Let b(y) be the third derivative of 3*y**4/8 + y**3/3 - 172*y**2 - 10. Give b(-7). -61 Suppose 0 = -5*j - 106 + 91. Let h(g) = -g**3 + 2*g + 2. Let k(n) = -2*n**2 + n - 1. Let z(a) = j*k(a) + h(a). What is z(5)? 25 Let h be (1 + -1)/6 + (-4 - -48). Let m(r) = -53*r**3 + 10*r**2 + h*r + 52*r**3 - 31*r - 15. Give m(11). 7 Let h(g) = g**2 - 38*g - 62. Let f(p) = -7*p**2 + 229*p + 367. Let l(q) = -2*f(q) - 13*h(q). Give l(-34). 4 Suppose 96*y - 87*y - 18 = 0. Let i(p) = -y*p + p + 7*p - 10. Give i(4). 14 Let x(t) = -13*t**3 + 6*t**2 - 15*t + 19. Let y(n) = -31*n**3 + 15*n**2 - 37*n + 46. Let q(z) = 12*x(z) - 5*y(z). Determine q(-5). 23 Let k(l) = -14*l**2 + 4*l + 143. Let u(f) = 14*f**2 - 3*f - 95. Let i(h) = -2*k(h) - 3*u(h). What is i(1)? -14 Let x(d) = d**3 + 13*d**2 + 10*d + 19. Let t(o) = -271*o - 5704. Let v be t(-21). What is x(v)? -111 Let s = -5786 - -5793. Let g(r) = r**3 - 8*r**2 + 4*r + 16. Give g(s). -5 Let v = -3 + 6. Let d(i) = -4 + 12*i**2 + i**v + 5*i**2 - 6*i**2 - 8*i + 17*i. Give d(-10). 6 Let i(o) = -o**2 + 40*o + 1565. Let t be i(-24). Let p(x) = x**2 - 22*x - 205. Calculate p(t). -2 Let t(z) be the first derivative of -z**4/4 + 7*z**3/3 - z**2/2 - 17*z + 2413. Calculate t(7). -24 Let g(a) be the second derivative of -a**5/20 - a**4/24 - a**3/3 + 5*a**2 - 8*a - 5. Let d(r) be the second derivative of g(r). Calculate d(-1). 5 Let c = 6800 + -6807. Let p(r) = 3*r**2 + 19*r - 16. Calculate p(c). -2 Let l(n) = -n**2 - 8*n - 11. Let d be (-9)/((-14)/((-280)/30)). What is l(d)? 1 Let d(f) be the second derivative of f**6/120 - f**5/60 + f**4/24 - 5*f**3/3 + 91*f**2 + 141*f. Let u(w) be the first derivative of d(w). Determine u(0). -10 Let b(k) = -6*k**3 + k. Suppose 3*d + 12 = -3*h, 0*h - 4*d = h + 13. Calculate b(h). 5 Let m(g) be the first derivative of 184 -
{ "pile_set_name": "DM Mathematics" }
and -701 nonequal? True Is -1 less than or equal to -40/27? False Which is bigger: 0 or 6/3499? 6/3499 Do 2/4437 and -1 have different values? True Is 7191 greater than or equal to 7192? False Which is smaller: -6285 or -1/4? -6285 Which is smaller: 7.54 or -4? -4 Which is bigger: -10/39 or 0? 0 Which is bigger: -287 or -295? -287 Which is smaller: -864 or -862? -864 Is 1 less than or equal to -7/22? False Is 0 bigger than 3/241? False Is -0.103 greater than or equal to -1? True Is 1/106 at least -0.2? True Which is bigger: 345 or 1033/3? 345 Is -42 greater than -1601/37? True Is 9394 at least -0.2? True Is 1 not equal to 3437? True Are 0 and -3/175 unequal? True Is -33 less than or equal to 11? True Which is smaller: -2/1479 or -1? -1 Is -0.1 <= -213? False Which is smaller: 1/2 or 7/484? 7/484 Is -706/3 <= -235? True Do 2/2045 and -1 have the same value? False Which is smaller: 0.1 or 5/3? 0.1 Which is greater: 1 or 6/4489? 1 Which is smaller: 20/243 or 0? 0 Which is smaller: 27/65 or 0? 0 Which is bigger: -4/7 or 0? 0 Which is greater: 3783 or 3784? 3784 Are -4 and 0.35 unequal? True Is -695 < 0.3? True Which is greater: -8229 or -8227? -8227 Is 835 at least as big as 835? True Is -4/41 at least 0.13? False Are 676 and 671 unequal? True Is 7 < 22/3? True Do 2/5105 and 1 have the same value? False Are -231/13 and 5 unequal? True Is 132 bigger than 179? False Is 678 != 12888/19? True Which is smaller: 439 or 430? 430 Which is bigger: -1 or 1/1328? 1/1328 Which is smaller: 1369 or 1374? 1369 Is -121 < -55? True Which is smaller: 8 or 788/101? 788/101 Which is bigger: -1/15447 or -1? -1/15447 Is -87 equal to -85? False Which is smaller: 18671/5 or 3734? 3734 Is 1 <= -10/3627? False Are -2436 and -2439 equal? False Which is bigger: 18 or 0.032? 18 Which is bigger: 249 or -5? 249 Which is greater: 5519 or 11037/2? 5519 Which is greater: -243 or -2664/11? -2664/11 Are 2/415 and 1 unequal? True Are 2668 and 2673 equal? False Does 1 = 42/337? False Is 67/18 not equal to 5? True Which is bigger: -840 or -843? -840 Is -1/2746 greater than or equal to 1? False Are -2 and -1/105 equal? False Is 18/115 at most as big as -3? False Do -1 and 1/3 have the same value? False Which is greater: 0 or -1/1098? 0 Which is bigger: 1453 or 1455? 1455 Is 0.448 != -2? True Is 2/7 smaller than 26.6? True Which is smaller: 36 or 110/3? 36 Which is smaller: -108.8 or -2? -108.8 Is -1/31 bigger than 0.3? False Is -58 > 18/7? False Does 33/89 = 0? False Are -200 and -204 equal? False Which is smaller: 303 or -1/3? -1/3 Is 492 at least as big as 494? False Which is bigger: -5 or -15/4? -15/4 Is -2/831 <= -1? False Is -25/2 smaller than 5.85? True Which is greater: -3429/26 or -133? -3429/26 Do -641 and -646 have the same value? False Which is greater: 40 or 41? 41 Is 448 >= 449? False Which is smaller: 282 or 284? 282 Which is bigger: 45/22 or 3? 3 Which is greater: -388 or -389? -388 Which is greater: 0 or -88/357? 0 Which is smaller: 1921 or 1922? 1921 Which is bigger: -223 or -222? -222 Which is bigger: 11526 or 11527? 11527 Is 196 greater than or equal to 108? True Is -8.18 > -0.4? False Is 53/178 at most 1? True Which is smaller: 318 or 296? 296 Which is smaller: 8 or 62/9? 62/9 Is -1 <= 2/619? True Which is greater: 315 or 316? 316 Is 115 >= 116? False Is 1 greater than 19/27? True Do 1/3 and 5.1 have different values? True Which is smaller: -2 or 1.705? -2 Which is greater: 1576 or 1575? 1576 Which is greater: 251 or 250? 251 Which is bigger: 1 or 379? 379 Is -2898 >= -2909? True Are -182 and -233 equal? False Are 1 and 12 nonequal? True Which is greater: -5 or -5/63? -5/63 Is 1 smaller than -62/135? False Is 3324 at most 3324? True Which is greater: 1/732 or 0? 1/732 Which is smaller: -11 or -1.08? -11 Is -1 smaller than 6/709? True Is 83 at least as big as 1/4? True Which is greater: -1920 or -1921? -1920 Is 10572 <= 10575? True Which is bigger: -3/1517 or 0? 0 Which is greater: 8 or 12/11? 8 Is -142 at most as big as -2? True Do 12/19 and 1 have the same value? False Which is smaller: -1595 or -7978/5? -7978/5 Is 0.3 less than 3457? True Is 11.176 > 2? True Which is greater: 0 or 5/819? 5/819 Do -2/1055 and 1 have the same value? False Is 112 less than 117? True Is -50 at least as big as -1.7? False Which is smaller: -32 or -10? -32 Is 9 != -14.8? True Is -1078 at most as big as -1079? False Which is smaller: -3 or 0? -3 Which is greater: 1/19818 or 0? 1/19818 Is 3085 at least 3085? True Is -16/17 > 2/23? False Is 1602 bigger than 1601? True Which is bigger: 1883 or 1/3? 1883 Which is smaller: 0 or 8/49? 0 Is 14 at most as big as -0.6? False Is 6645 equal to 6649? False Is 2/19 equal to -2.2? False Which is greater: -6/31 or -1? -6/31 Which is smaller: -759 or -760? -760 Is 121 not equal to 113? True Is 9 less than or equal to 1/7? False Is -1858 at most as big as -1858? True Is 180 at most as big as 0.2? False Which is bigger: -40/271 or 0? 0 Is -21 < -157/7? False Does -1 = -4/159? False Is -1 <= 3/38? True Do 663 and 663 have different values? False Which is greater: -3 or -23/8? -23/8 Is 4/281 at least 1? False Which is bigger: 0 or -14/33? 0 Which is smaller: 7.146 or 3? 3 Which is smaller: -156/11 or -14? -156/11 Is -185.6 at least -5? False Which is bigger: -21 or 5? 5 Which is smaller: -258 or -257? -258 Which is smaller: -196/5 or -39? -196/5 Which is greater: -8 or 40? 40 Is 579 bigger than 581? False Which is smaller: 74 or 2626/35? 74 Are -0.2 and -508 non-equal? True Is -201 less than -190? True Which is smaller: 29 or 89/3? 29 Which is bigger: -1 or -38/891? -38/891 Which is greater: -86 or -0.78? -0.78 Is 12428 smaller than 12428? False Do -58 and -55 have the same value? False Do -17716 and -17716 have different values? False Is -0.0222 not equal to 2/5? True Which is smaller: -1 or -4/7493? -1 Which is greater: 1 or 1/3206? 1 Is -1260 less than or equal to -1261? False Which is smaller: 3019 or 3016? 3016 Is -2215/6 at least as big as -369? False Is -128 > -32? False Which is bigger: 0.1 or -0.44? 0.1 Do 18 and 0.1 have the same value? False Which is bigger: 72 or 26? 72 Do 37.4 and -19 have the same value? False Are -3612 and -3611 nonequal? True Which is smaller: -11.3 or 0.1? -11.3 Which is smaller: -111 or -110? -111 Which is smaller: 93 or 9? 9 Is -11 greater than -0.29? False Which is greater: 184 or 190? 190 Are 58 and 58 equal? True Which is greater: 225.3 or -0.3? 225.3 Is 35172 at most 0.1? False Is 3 less than 30/19? False Which is bigger: -3.74 or 2? 2 Is -2 > -4038? True Is 17 less than or equal to -1/2? False Which is bigger: -244 or -241? -241 Which is smaller: -2/1867 or 1? -2/1867 Which is bigger: -137 or -134? -134 Do 160 and 1/2 have different values? True Is -19 smaller than -73/4? True Is 2/719 != -1? True Do 0.1 and 185/3 have different values? True Which is bigger: -2389 or -2391? -2389 Is 4928 less than 4928? False Is 79 not equal to 121? True Are 0 and -2/5265 equal? False Which is bigger: 57 or 53? 57 Which is smaller: -6 or -33/5? -33/5 Which is bigger: -4/235 or 1? 1 Is 2/157 greater than 0? True Which is bigger: -5/26 or 1? 1 Is 149 greater than 1195/8? False Which is smaller: -8/5 or -0.181? -8/5 Is 3463 equal to 2/5? False Which is smaller: -1 or -2/2007? -1 Which is smaller: 8/1239 or 1? 8/1239 Which is greater: -161 or -122? -122 Is -11136 at most as big as -11136? True Which is smaller: -330 or -331? -331 Is -35977 greater than or equal to -35977? True Which is smaller: -4 or -41/10? -41/10 Is -82 != -77? True Do 34 and 61 have different values? True Which is greater: 0 or -3/16? 0 Is 96 equal to 96? True Which is smaller: 218 or 174? 174 Is -83 greater than 3? False Is 0 bigger than -0.1151? True Is 1 > -79/540? True Which is smaller: -181/14 or -12? -181/14 Which is bigger: 0.2 or -74? 0.2 Which is smaller: 0.04 or -0.6? -0.6 Is -4/2893 less than -1? False Is 252 less than -8? False Which is smaller: -53 or -55? -55 Which is greater: 0.06357 or -4? 0.06357 Which is smaller: -0.0249 or 2.5? -0.0249 Is 1 greater than 3/5? True Which is bigger: -1 or 4/9? 4/9 Which is bigger: 12 or 30.4? 30.4 Is 1 >= 1/136? True Is 0.4 smaller than -25? False Which is greater: -1 or 1/1274? 1/1274 Is -1493 at least -1495? True
{ "pile_set_name": "DM Mathematics" }
of 168 and 48. 24 Calculate the highest common divisor of 468 and 99. 9 What is the highest common factor of 180 and 22740? 60 What is the greatest common factor of 6905 and 10? 5 What is the highest common factor of 252 and 1116? 36 What is the greatest common divisor of 28 and 232? 4 What is the greatest common divisor of 3552 and 9324? 444 What is the highest common factor of 128 and 16? 16 Calculate the greatest common factor of 172 and 11438. 86 Calculate the highest common divisor of 117 and 1989. 117 Calculate the highest common divisor of 24497 and 187. 187 What is the greatest common divisor of 473 and 176? 11 Calculate the greatest common factor of 99 and 189. 9 Calculate the greatest common divisor of 12 and 948. 12 What is the highest common factor of 11858 and 726? 242 What is the greatest common divisor of 182 and 442? 26 What is the highest common factor of 27 and 1251? 9 What is the highest common divisor of 11 and 473? 11 What is the greatest common factor of 7 and 8? 1 Calculate the highest common divisor of 2 and 22. 2 What is the greatest common divisor of 1230 and 150? 30 Calculate the greatest common factor of 7340 and 20. 20 Calculate the greatest common divisor of 168 and 108. 12 Calculate the highest common factor of 532 and 49. 7 Calculate the highest common factor of 1428 and 1764. 84 Calculate the highest common factor of 187 and 495. 11 What is the highest common divisor of 27 and 675? 27 Calculate the greatest common divisor of 135 and 621. 27 Calculate the highest common factor of 187 and 22. 11 Calculate the highest common divisor of 12 and 184. 4 Calculate the greatest common divisor of 682 and 62. 62 What is the highest common factor of 220 and 484? 44 What is the highest common factor of 19 and 9671? 19 What is the greatest common factor of 380 and 17860? 380 Calculate the greatest common factor of 90 and 745. 5 What is the highest common divisor of 3 and 213? 3 What is the greatest common factor of 136 and 3094? 34 What is the highest common divisor of 133 and 21? 7 Calculate the greatest common divisor of 323 and 34. 17 Calculate the highest common divisor of 70 and 112. 14 What is the highest common factor of 378 and 14? 14 Calculate the highest common factor of 116 and 2552. 116 What is the highest common divisor of 28 and 112? 28 What is the greatest common divisor of 21583 and 382? 191 Calculate the greatest common factor of 10 and 14830. 10 Calculate the highest common factor of 13 and 107159. 13 Calculate the greatest common factor of 9204 and 156. 156 What is the greatest common factor of 98 and 210? 14 What is the highest common divisor of 826 and 1062? 118 What is the highest common divisor of 64 and 112? 16 What is the highest common factor of 48 and 1704? 24 Calculate the highest common divisor of 5394 and 124. 62 What is the highest common factor of 17 and 2227? 17 What is the highest common factor of 10 and 290? 10 Calculate the greatest common factor of 12 and 636. 12 What is the highest common divisor of 185 and 37? 37 Calculate the greatest common divisor of 5494 and 268. 134 Calculate the greatest common factor of 17 and 37757. 17 What is the highest common factor of 1165 and 5? 5 What is the greatest common divisor of 22 and 54? 2 Calculate the greatest common divisor of 245 and 385. 35 Calculate the highest common divisor of 60 and 5070. 30 What is the greatest common factor of 44 and 308? 44 What is the greatest common divisor of 642 and 30? 6 Calculate the highest common divisor of 53 and 212. 53 Calculate the greatest common factor of 1665 and 63. 9 Calculate the greatest common divisor of 368 and 322. 46 What is the highest common divisor of 2325 and 186? 93 What is the greatest common factor of 2059 and 568? 71 Calculate the highest common factor of 154 and 140. 14 Calculate the highest common divisor of 1118 and 78. 26 What is the highest common factor of 68 and 20434? 34 What is the greatest common factor of 10 and 19210? 10 What is the greatest common factor of 100 and 64? 4 Calculate the greatest common factor of 108 and 432. 108 What is the highest common divisor of 1095 and 15? 15 Calculate the highest common divisor of 105 and 30. 15 Calculate the highest common divisor of 324 and 4. 4 What is the greatest common factor of 726 and 462? 66 What is the highest common factor of 735 and 70? 35 What is the highest common divisor of 20 and 54? 2 What is the greatest common factor of 1135 and 20? 5 What is the highest common factor of 21 and 174? 3 What is the highest common divisor of 20 and 680? 20 Calculate the highest common divisor of 29136 and 36. 12 What is the highest common divisor of 49 and 28? 7 Calculate the greatest common factor of 923 and 1937. 13 Calculate the greatest common factor of 2342 and 6. 2 Calculate the highest common divisor of 16 and 36. 4 Calculate the highest common divisor of 67 and 2. 1 Calculate the highest common factor of 45 and 153. 9 What is the greatest common factor of 70 and 50? 10 Calculate the highest common factor of 621 and 759. 69 What is the greatest common factor of 96 and 2592? 96 Calculate the greatest common divisor of 144 and 72. 72 Calculate the highest common divisor of 402 and 12. 6 What is the highest common factor of 11663 and 763? 109 What is the highest common factor of 2 and 4? 2 What is the greatest common factor of 120 and 25720? 40 Calculate the greatest common divisor of 186 and 14. 2 Calculate the highest common divisor of 51 and 119. 17 What is the greatest common factor of 114 and 494? 38 What is the highest common factor of 2444 and 564? 188 What is the greatest common divisor of 885 and 60? 15 Calculate the greatest common factor of 616 and 33. 11 Calculate the greatest common divisor of 1838 and 4. 2 What is the greatest common divisor of 107 and 146269? 107 What is the greatest common factor of 84949 and 19? 19 Calculate the greatest common divisor of 31 and 837. 31 Calculate the highest common factor of 1311 and 138. 69 Calculate the highest common factor of 10 and 450. 10 What is the highest common divisor of 30 and 13060? 10 What is the highest common divisor of 20 and 52? 4 Calculate the greatest common divisor of 36 and 207. 9 Calculate the greatest common divisor of 225 and 25. 25 Calculate the highest common factor of 34 and 221. 17 Calculate the greatest common divisor of 203 and 493. 29 Calculate the highest common divisor of 19 and 2185. 19 What is the highest common factor of 20 and 820? 20 Calculate the greatest common factor of 2955 and 30. 15 What is the greatest common factor of 15 and 2630? 5 Calculate the greatest common divisor of 80 and 880. 80 What is the highest common factor of 558 and 36? 18 What is the highest common factor of 11704 and 112? 56 Calculate the highest common factor of 144 and 192. 48 What is the greatest common divisor of 570 and 690? 30 Calculate the highest common divisor of 90 and 4770. 90 Calculate the greatest common factor of 32 and 264. 8 What is the greatest common divisor of 69 and 92? 23 Calculate the highest common factor of 40975 and 275. 275 Calculate the highest common factor of 496 and 1116. 124 Calculate the greatest common divisor of 1406 and 2280. 38 Calculate the greatest common factor of 2912 and 65. 13 Calculate the greatest common factor of 280 and 180. 20 Calculate the highest common divisor of 27 and 4572. 9 What is the highest common divisor of 144 and 828? 36 Calculate the greatest common factor of 3887 and 2392. 299 Calculate the greatest common divisor of 2368 and 64. 64 Calculate the greatest common divisor of 2619 and 27. 27 Calculate the highest common divisor of 15 and 57. 3 What is the greatest common factor of 348 and 12? 12 What is the highest common factor of 285 and 1900? 95 Calculate the greatest common factor of 49 and 3283. 49 Calculate the highest common factor of 86 and 129. 43 Calculate the highest common divisor of 220 and 22. 22 Calculate the greatest common divisor of 7 and 175. 7 What is the highest common factor of 18 and 270? 18 Calculate the greatest common divisor of 21 and 5901. 21 Calculate the greatest common divisor of 4 and 5636. 4 What is the highest common divisor of 1 and 3? 1 Calculate the greatest common diviso
{ "pile_set_name": "DM Mathematics" }
t(5) Simplify (sqrt(300) + -2*sqrt(300)*2)/(-2*(1*sqrt(64) - sqrt(4))). 5*sqrt(3)/2 Simplify 6*(sqrt(162)/(sqrt(6)*2 + sqrt(6)) + (-6*((sqrt(27) - 1*sqrt(27)) + sqrt(27)))**2)*-1. -5832 - 6*sqrt(3) Simplify 3 + (4*(0 + sqrt(288)) + sqrt(288) + 2 + 5)**2 + -3. 840*sqrt(2) + 7249 Simplify ((sqrt(220)/(sqrt(5) - sqrt(20)/(sqrt(4)*-2)))/(sqrt(16)/((sqrt(40)*1)/sqrt(10))))**2. 44/9 Simplify -2 + sqrt(11) + 1 - (sqrt(11) + 0)*3 - ((sqrt(275) + 1 + sqrt(275) - sqrt(275))**2 + (1*sqrt(396))**2). -673 - 12*sqrt(11) Simplify ((sqrt(972)*-3*2)/((sqrt(5324)*3 + sqrt(44) + sqrt(44))/sqrt(11)))**2. 8748/1225 Simplify 5*((sqrt(68)*3 + 5 + (-1 + sqrt(68) + 5 - sqrt(68)))*-4)**2. 8640*sqrt(17) + 55440 Simplify (sqrt(60)/sqrt(5) - (0 + sqrt(3) + 3)) + -5*((sqrt(27)/sqrt(9) - sqrt(3))*-2)**2. -3 + sqrt(3) Simplify (1 + sqrt(700) + -2 + sqrt(700) - (3*(-1 + sqrt(700) + sqrt(700)) - sqrt(700)))**2 + -2. -120*sqrt(7) + 6302 Simplify (-3*sqrt(133)*2)/(3*sqrt(7)*-3) + -5. -5 + 2*sqrt(19)/3 Simplify -4*-3*(2 + sqrt(7) + 1 - (2*sqrt(35)/sqrt(5))**2). -300 + 12*sqrt(7) Simplify -6*(((sqrt(7260) - ((-2*1*sqrt(7260) - sqrt(7260)) + sqrt(7260) - sqrt(7260)) - sqrt(7260)) + sqrt(7260))/(sqrt(432) - sqrt(432)*-2*-1))**2. -4840/3 Simplify (sqrt(171)/(sqrt(3)*5))/(sqrt(240)/sqrt(5)). sqrt(19)/20 Simplify 0 + -5 + -5*sqrt(1053) + 5 + -3. -45*sqrt(13) - 3 Simplify ((sqrt(22)*3*-6*-2)/(sqrt(12)/(-6*((sqrt(6) - sqrt(294)) + sqrt(6)))))**2. 12830400 Simplify (-3 + sqrt(2448) + sqrt(2448) + 3 + (sqrt(17) - sqrt(187)/sqrt(176)))**2. 166617/16 Simplify (-2*sqrt(1300) + 0)*-6 + (5*(sqrt(1872) + -2 + -3))**2. -2880*sqrt(13) + 47425 Simplify -5 + ((-2*(sqrt(190) - (sqrt(190) + (-2*sqrt(190) - sqrt(190))))*1)/(sqrt(250)*-1 - sqrt(10) - -1*sqrt(1000)))**2. 151/4 Simplify -6*(sqrt(11) - (sqrt(11) + 2))*4 + (-3 + (sqrt(1584) + 2 - sqrt(1584)) - sqrt(1584)). -12*sqrt(11) + 47 Simplify -5 + (sqrt(104) - 2*(sqrt(104) - (sqrt(104) - 2*sqrt(104))))/(sqrt(200)*4). -5 - 3*sqrt(13)/20 Simplify sqrt(11) + (-5*(1 + sqrt(11)))**2 + (sqrt(55)/(sqrt(5) - sqrt(180)) - sqrt(11)) - (sqrt(539)*-2*5 + 1). 299 + 599*sqrt(11)/5 Simplify -3*((sqrt(1584) + sqrt(1584) + 0 + (-1 + sqrt(11))*4)**2 + -2). -25914 + 672*sqrt(11) Simplify -5 + (-1*(4 + sqrt(272)*-1 + 4))**2. -64*sqrt(17) + 331 Simplify ((3*((-2*sqrt(1539) - sqrt(1539))*-1 + sqrt(1539)))**2 + -3)*-5. -1108065 Simplify sqrt(6)/(sqrt(12)/(sqrt(16)/sqrt(4))) - (-1*-2*sqrt(242))**2. -968 + sqrt(2) Simplify (sqrt(1700) - (sqrt(1700) - 6*-2*sqrt(1700) - sqrt(1700)))**2 + 0 + sqrt(187)/sqrt(275). sqrt(17)/5 + 205700 Simplify ((1*sqrt(91) - sqrt(91))*4)/sqrt(7) + (3*sqrt(130)*-5)/sqrt(10). -15*sqrt(13) Simplify ((sqrt(140) - 4*2*sqrt(140))/sqrt(10))/(sqrt(242)*-1*-5). -7*sqrt(7)/55 Simplify (-1*(sqrt(187) - (sqrt(187) - (-2*sqrt(187) + sqrt(187))*1)))/((sqrt(11) - -5*(sqrt(44) + sqrt(11))) + (sqrt(121)*1)/sqrt(11)). sqrt(17)/17 Simplify (2*(sqrt(190) - 2*sqrt(190)) + -3*-2*sqrt(190))/(sqrt(70)/((sqrt(336)/sqrt(8))/sqrt(6))). 4*sqrt(19) Simplify -1 + 1 + ((-1*sqrt(5))**2 - sqrt(5))*-4 - ((sqrt(100)/(sqrt(30)/sqrt(3)))/(sqrt(2)*1*3))**2. -185/9 + 4*sqrt(5) Simplify ((sqrt(5) - (sqrt(60)/(sqrt(12)*-2))**2) + sqrt(5))*-4*5 - (-2*sqrt(500) + sqrt(180)*4). -44*sqrt(5) + 25 Simplify ((sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77) + (sqrt(77) - -1*sqrt(77))*-1 - sqrt(77)))) - sqrt(77)*-1*-5)/(sqrt(132)/(sqrt(540)/sqrt(5))))**2. 252 Simplify (2*2*sqrt(30)/(sqrt(18)/(sqrt(15)/sqrt(5))))**2. 80 Simplify -5*((-4 + -1*sqrt(1216) - sqrt(1216)) + 1)*-3. -240*sqrt(19) - 45 Simplify (-5 + sqrt(252) + sqrt(7) - (sqrt(35)*4)/sqrt(5))*2. -10 + 6*sqrt(7) Simplify (sqrt(200) - (5 + 2*sqrt(200))**2) + (-1*sqrt(200) + 0)**2 - (4 + sqrt(288) + ((1 + sqrt(1800))**2 - sqrt(18))). -2430 - 259*sqrt(2) Simplify (5*(sqrt(20) + -5) - sqrt(45)/((2*sqrt(54))/sqrt(6)))*-6. -57*sqrt(5) + 150 Simplify ((sqrt(3087) - 1*sqrt(3087))*5)/(sqrt(18)/(sqrt(32) - sqrt(2)) - (sqrt(9) + 1*sqrt(9)*-1)). 0 Simplify (-5*-5*(((sqrt(3) + sqrt(3) + -1)*4 - sqrt(27)/(sqrt(18)/sqrt(2))) + 4 + 2 + sqrt(108) + sqrt(108)))**2. 47500*sqrt(3) + 679375 Simplify -4 + 5 + 4 + (1*sqrt(288))**2 + -4. 289 Simplify (-4 + (sqrt(720) + 5)*6 + -1 + -4*sqrt(720))**2. 1200*sqrt(5) + 3505 Simplify (((2 + (sqrt(252) - (sqrt(252) + -1)) - 3*-1*sqrt(252)) + 4 + 1 + sqrt(252) + -2)*5)**2. 7200*sqrt(7) + 101700 Simplify ((sqrt(72)/sqrt(2) + sqrt(36))*-4)/(sqrt(120)/(sqrt(10) - sqrt(360))). 40*sqrt(3) Simplify -6*(-4*sqrt(18)*1)**2 - (-3 + (2*sqrt(216) - sqrt(216))/sqrt(12)). -1725 - 3*sqrt(2) Simplify (3 + 0 + sqrt(192) + sqrt(192) - sqrt(192)*1*-1) + (2*sqrt(192))**2*5*-3. -11517 + 24*sqrt(3) Simplify ((sqrt(242) + 2 + 0 - sqrt(242))**2 - (-5*(sqrt(242) - (1 + sqrt(242) - sqrt(242))) - sqrt(242)))*3. -3 + 198*sqrt(2) Simplify (3 + -1*sqrt(68) + sqrt(51)/sqrt(3) + 2 + (1 + sqrt(1377))*3 + -1)**2. 364*sqrt(17) + 11541 Simplify (6*2*sqrt(11)*-4)**2 - -4*(0 + (sqrt(11) - (sqrt(275) + sqrt(11) - sqrt(11))**2)). 4*sqrt(11) + 24244 Simplify -3 + -5 + (5*(sqrt(847) + (4*(sqrt(847) + -2 + sqrt(847)) - sqrt(847))))**2 + -3. -35200*sqrt(7) + 1356789 Simplify (-1 + -1*sqrt(7) + sqrt(7) + 3 - sqrt(14)/(sqrt(6)/(sqrt(3) + (sqrt(147) - sqrt(3))) - sqrt(2)))**2. 14*sqrt(7)/3 + 487/36 Simplify 1 + ((-1*sqrt(110) - sqrt(110))*3 - (sqrt(110) - 1*sqrt(110)*3))/(sqrt(360) + (sqrt(360) - (-4*(sqrt(360) - -2*sqrt(360)) + sqrt(360)))). -2*sqrt(11)/39 + 1 Simplify ((sqrt(143)*-4 + sqrt(143))*-4*2)/(sqrt(132)/(-1*sqrt(432))). -144*sqrt(13) Simplify (sqrt(60)/(1*(sqrt(108) - sqrt(12) - sqrt(12))) + sqrt(640)/sqrt(8) + 4)**2. 40*sqrt(5) + 141 Simplify (-2*(sqrt(187)*-2 + sqrt(187) - sqrt(187)))/(2*sqrt(33)/sqrt(3)) + -5. -5 + 2*sqrt(17) Simplify 1 + -5 + (sqrt(19) + (sqrt(76) - sqrt(19))*5 + sqrt(209)/(2*sqrt(11)) + (-2*sqrt(95)*-5)/sqrt(5))**2. 20675/4 Simplify -3 + (1 + sqrt(99)*-1 + 2 - ((sqrt(99) - (sqrt(99)*2 + 4)) + (sqrt(99) - (-2 + sqrt(99) + -1 + sqrt(99)))**2 + sqrt(99))). -104 + 15*sqrt(11) Simplify ((-4 + sqrt(1800) + 1)*-5)**2*1. -4500*sqrt(2) + 45225 Simplify ((sqrt(160)*6)/sqrt(10))/(sqrt(8) - (sqrt(24)/sqrt(3) + sqrt(8))*1). -6*sqrt(2) Simplify -3 + sqrt(162)*1*-3 + 3. -27*sqrt(2) Simplify (1 + (0 + -1*sqrt(1088) - (-1*sqrt(1088) + -2))**2)*-1. -5 Simplify 2 + ((sqrt(76) - (2*sqrt(76) + sqrt(76) + sqrt(76)))*-4)/(sqrt(28)/sqrt(112) - sqrt(4)) + -1 + 1. -16*sqrt(19) + 2 Simplify ((sqrt(228)*-1)/sqrt(12)*-2 - -1*(5 + sqrt(57)/sqrt(3)))**2. 30*sqrt(19) + 196 Simplify (sqrt(704)*4 + 0)**2 - (-3*sqrt(704)*6)**2. -216832 Simplify 5 + (-1*sqrt(500) + (sqrt(5) - (sqrt(5) - 2*sqrt(320))))*3 + 5. 10 + 18*sqrt(5) Simplify ((-2*(sqrt(1100) + -1 + sqrt(1100)) - sqrt(77)/(-4*(sqrt(7) + sqrt(28))))*6)**2. -5748*sqrt(11) + 2524427/4 Simplify (-4*2*sqrt(117) + sqrt(117)*-2*-5)/(sqrt(81)/(sqrt(9) - (sqrt(36) + sqrt(9))) + sqrt(36)/sqrt(4)*-2). -4*sqrt(13)/5 Simplify (1*sqrt(704) + -3)**2 + (sqrt(77)/(sqrt(28) - sqrt(7)))**2 + -2 + 4. -48*sqrt(11) + 726 Simplify -6*(-2*sqrt(2736)*4)**2 - ((sqrt(57)/sqrt(3)*-1)**2 - (sqrt(152)/sqrt(2) + sqrt(19))). -1050643 + 3*sqrt(19) Simplify (((sqrt(150)/sqrt(3))/sqrt(5)*4)/((sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200)*3 + sqrt(200) + sqrt(200))*2))**2. 1/405 Simplify -2 + (sqrt(300) + (sqrt(300) - 1*sqrt(300) - sqrt(300)))**2*3 + 3 + (sqrt(300) - (sqrt(300) + 3)). -2 Simplify -4*(2 + 4*1*sqrt(192)*6)**2. -442384 - 3072*sqrt(3) Simplify 0 + (1 + -1*sqrt(17) + sqrt(17))*-2 + 3. 1 Simplify (((sqrt(143)*-2)/sqrt(11) - sqrt(13) - ((sqrt(26)/sqrt(2))**2 + 3)) + ((sqrt(1300) + 0)*5 - sqrt(1300)))*4. -64 + 148*sqrt(13) Simplify sqrt(15)/(sqrt(500)*3 + sqrt(500)) + sqrt(36)/(sqrt(12) - (sqrt(12) + -4*sqrt(12)))*3. 31*sqrt(3)/40 Simplify ((sqrt(2304)*2)/((sqrt(24)*-4)/sqrt(2) - sqrt(12)))**2. 768/25 Simplify (sqrt(567) + 1 + 3 - (sqrt(567) + (sqrt(567) + 2)**2)*-3)*5*3. 2160*sqrt(7) + 25755 Simplify (-5*(sqrt(117)*2 + sqrt(117)) - (sqrt(117) + (-1*sqrt(117)*3 - sqrt(117))))/((sqrt(9) + sqrt(1089)*-2)*-6)*3. -2*sqrt(13)/7 Simplify ((sqrt(22)/sqrt(2)*-3 - sqrt(11))*-5 + -3)**2*3. -360*sqrt(11) + 13227 Simplify (6*sqrt(56)*1*4)/((sqrt(56) - (3*sqrt(3584) - sqrt(3584)))/sqrt(7)). -8*sqrt(7)/5 Simplify (((sqrt(240)*2 + sqrt(240) + sqrt(240) - sqrt(240)) + sqrt(240))/sqrt(4))/(2*sqrt(432)). sqrt(5)/3 Simplify 5 + (sqrt(77) + 4*((
{ "pile_set_name": "DM Mathematics" }
*4/12 - 19*g**3/6 - 31*g**2 - 79*g. Is s(-10) a multiple of 4? True Suppose 0 = 12*r - 356 - 28. Suppose 35*b - 61 = r*b + 2*y, y = 4*b - 88. Is b a multiple of 3? False Let g(r) = -31*r**2 + 2*r - 4. Let w = -16 + 18. Let t be g(w). Is (4/(-4))/((-2)/t*-1) a multiple of 10? False Let w = 1241 - 781. Suppose -2131 = -3*g - 2*h, -2*g + 970 + w = -h. Is 23 a factor of g? True Let a be (-1 + 11)/(3 + (-1 - 0)). Suppose 0 = -a*l - 2*l + 35. Suppose -l*d = -478 + 158. Is 8 a factor of d? True Is (1240624/55)/28*(-30)/(4/(-2)) a multiple of 106? True Let m(x) = x**3 + 3*x**2 + x - 17. Let i be m(6). Let r = i - 78. Does 47 divide r? True Suppose -110*j + 107*j + 1088 = 2*a, 1456 = 4*j + 4*a. Does 30 divide j? True Suppose 0 = -10*w + 36*w - 20436. Let q(d) = -d**3 + 11*d**2 - 8*d - 13. Let g be q(10). Suppose z - g*z = -w. Does 18 divide z? False Suppose 10*o = 1702 + 31798. Suppose 892 + o = 14*k. Is 5 a factor of k? False Suppose -7*j + 13*j = 0. Let k = 5 + j. Suppose 0 = 3*m - 65 + k. Is m a multiple of 5? True Suppose -4*s + 8524 = 2*j, 54*j - 52*j - 8559 = s. Is 15 a factor of j? False Let i(t) = -56*t + 89. Let v be i(-9). Let y = -321 + v. Is y a multiple of 34? True Let q(t) = -3*t**3 - 35*t**2 - 267*t - 12. Is 12 a factor of q(-12)? True Let u(v) = 120*v**2 - 23*v - 82. Let w = 421 - 424. Is 15 a factor of u(w)? False Let j = -303 + 441. Suppose y - 129 = j. Suppose -7*k + 2*k = 4*a - y, -114 = -2*a + 4*k. Is a a multiple of 9? True Let v(u) = u**2 - u - 8. Let i(g) = 2*g**2 - 10*g + 5. Let l be i(4). Let c be v(l). Suppose 5*a + c*o - 233 = 0, -7*o + 187 = 4*a - 4*o. Does 7 divide a? True Suppose k - 316*i = -315*i + 10615, k + 3*i - 10595 = 0. Is k a multiple of 27? False Let s(w) = 2*w + 15. Let o be s(-6). Suppose x + 3*l - o = -x, -2*x + l = -15. Does 13 divide 311/x + 7/42? True Let i = -68 - -418. Let p(o) = -o**2 + 6*o + 4. Let n be p(6). Suppose n*q - 585 = 5*z, 80 = 3*q - 2*z - i. Does 28 divide q? True Let p = -11416 - -23138. Is 15 a factor of p? False Let c = 792 + -376. Suppose -5*x + 2*x = 2*u - c, -5*u = -4*x + 524. Is x a multiple of 16? False Suppose 0 = -13*z + 117, 3*y - 32052 = 18*z - 23*z. Is y a multiple of 8? False Let k(r) = 170*r + 2624. Is 42 a factor of k(-10)? True Let g(h) = h**2 + h - 3. Let o be g(2). Let d be (-2 - -2) + -1 + o. Suppose -276 = -3*z + d*j, z = 3*j + 89 - 4. Is z a multiple of 12? False Suppose -5*k + 2*x = -3*x - 10, 11 = 5*k - 4*x. Suppose -3*n + 2*m = -163, 2*m - k*m + 263 = 5*n. Suppose -n = 8*h - 893. Does 21 divide h? True Let p(i) = i**3 - 110*i**2 + 95*i - 258. Is 98 a factor of p(110)? True Let u = 250 - 252. Is 56 a factor of u - 11/((-55)/1130)? True Suppose 900 + 6247 = 8*s - 2853. Does 10 divide s? True Suppose -74*b + 79*b = 60. Suppose -7*z + b*z + 60 = 0. Does 4 divide (z/(-10))/(-6*5/(-375))? False Let u be -6 + 26/4 - (-2308)/(-8). Let z = u + 1013. Is z a multiple of 13? False Suppose 5*t = -10*t. Suppose 8*o - 31 - 9 = t. Suppose -o*j - 8 = -j, -248 = -4*w - 4*j. Is 5 a factor of w? False Let n(l) be the second derivative of 4*l**4/3 - 2*l**3 - 3*l**2/2 - 3*l. Let i(s) = -67*s - 270. Let j be i(-4). Is 23 a factor of n(j)? False Suppose 13*r = 18*r - 1100. Let z = -145 + r. Does 3 divide z? True Suppose -13*z + 90511 = -25410. Suppose 20567 = 39*g - z. Does 47 divide g? False Suppose 14*c + 25 = 9*c. Let r(t) = -39*t - 14. Is 22 a factor of r(c)? False Let w(q) = -9*q**3 + 14*q**3 - 11 + 12*q - 20*q - 3*q**2 - 6*q**3 - q. Let a = -4 - 1. Is 42 a factor of w(a)? True Let x = 192 - 57. Let i = 347 - x. Is i a multiple of 15? False Let t(d) = -d**2 - 5*d + 2. Let s be 2/5 - (-156)/(-15). Let h be t(s). Let g = 52 + h. Is g a multiple of 2? True Let y(h) be the first derivative of 3*h**2/2 - 2*h + 8. Is 5 a factor of y(11)? False Suppose 4*d - 12 = -2*f, f + 3 = -d + 4. Suppose -c = -d*c + 980. Is 49 a factor of c? True Let y(j) = -346*j**2 - 17*j - 16. Let s be y(-1). Let m = 386 + 114. Let p = s + m. Is p a multiple of 31? True Suppose -4*y + a + 159 = 0, 0 = 4*y + y - 3*a - 197. Let k = y - 24. Is (k/6)/(-6*6/(-432)) a multiple of 8? True Let c be (-4 - 550/(-125))/((-2)/(-755)). Let u(i) = -i**3 + 4*i**2 - 2. Let q be u(2). Suppose -q*y = -565 + c. Does 23 divide y? True Suppose 3*n + 264 = 9*n. Suppose 0 = -6*i + n*i - 11438. Is 43 a factor of i? True Suppose 371 = d + 3*c, 0*d + d + c = 375. Let w(o) = -o**3 + 10*o**2 - 14*o + 8. Let q be w(11). Let m = q + d. Is 48 a factor of m? False Let r(t) = -2*t**3 - 24*t**2 + 145*t. Does 5 divide r(-25)? True Let l = 21474 + -13794. Does 16 divide l? True Let p = 3855 - 2514. Is 79 a factor of p? False Let p be (-10 + 9)*1*-3. Suppose -p*c + 2 = 8. Does 23 divide (1 + -8)/(c/12)? False Let r = 232 + -52. Suppose 3*l - 213 = -5*p, -3*p + 5*l = -83 - 38. Suppose -p*n - r = -43*n. Is 45 a factor of n? True Let p(x) = 151*x + 843. Is p(46) a multiple of 7? False Let w(d) = 23*d**2 + 2*d + 2. Let q be w(-8). Suppose h = -y + 618, 1647 + q = 5*h + 2*y. Is 18 a factor of h? False Suppose 5*y = -0*k - 4*k - 26, -5*k - 12 = -4*y. Let u be (77/14)/(((-1)/k)/1). Suppose u - 69 = -x. Is 27 a factor of x? False Is 47 a factor of (6834/(-459))/((-4)/18)? False Suppose 301*u - 279*u = 8822. Is 16 a factor of u? False Suppose -5*g + 1505 + 515 = 0. Let p = g + -276. Is p a multiple of 32? True Let g(q) = 3*q**2 - 31*q + 193. Let i be g(6). Suppose -119*b + 2604 = -i*b. Is 34 a factor of b? False Let u = -37 - -25. Let t(r) = r**2 + 12*r + 17. Let z be t(u). Let l(o) = o**2 - 14*o + 20. Is 13 a factor of l(z)? False Suppose 1403*g - 1390*g - 169 = 0. Suppose -5*f + 72 + 33 = 0. Suppose g*c + 928 = f*c. Does 22 divide c? False Let u = 460 + -458. Suppose -2*n + u*l + 706 = 0, 0 = -5*n - 0*n - 5*l + 1755. Is n a multiple of 44? True Let l(h) = -8*h - 56. Let u be l(-8). Suppose x = -u + 10, 4*b - 116 = 4*x. Does 2 divide b? False Suppose 5*s = -5*n + 6*n + 24, -5*n - 28 = -2*s. Let r be 4/(n/327) - -2. Let t = r - -484. Is t a multiple of 9? False Suppose j = -28 + 32. Suppose 2*s - 114 = -j*u, 7*u - 4*u - 4*s - 102 = 0. Is u a multiple of 18? False Suppose -5*j = 4*o + 235 - 3365, 0 = -2*j - 5*o + 1252. Let d = -402 + j. Is 25 a factor of d? False Let x(s) = 2*s**2 - 6*s + 4. Let g be x(4). Suppose -8*m = m - 369. Let l = m - g. Is l a multiple of 29? True Let o be (-30)/(-75) - (-63)/5. Let l = -8 + o. Suppose -2*q = 4*b - 280, 4*b - 388 + 94 = l*q. Is 17 a factor of b? False Suppose -4*x + 5*x = w + 38, -x = 2*w + 76. Let y = w + 37. Does 5 divide 2/((-4)/6) + (-15)/y? False Suppose -26 = -8*y - 2. Suppose -z = -5*f - 2 - 12, -2*z + y*f = -14. Is 49 a factor of 2066/14 + z/(-7)? True Let h be (11442/27 - 0) + 8/36. Suppose 2*u + 2*u - 134 = -t, u - h = -3*t. Is 11 a factor of t? False Let x(m) = m**2 - 3*m - 16. Suppose -18 = -y - 7. Let b = y - 4. Does 12 divide x(b)? True Let s(z) = z**3 + 3*z**2 - 5*z - 6. Let l be s(-4). Let r = l - 30. Let h = -2 - r. Is h a multiple of 10? True Suppose 6*u - 15 = 15. Suppose -4*b = -b + u*v - 80, 2*v = -4*b + 130. Does 35 divide b? True Let m(f) = f**3 + 11*f**2 - 12*f - 1. Let q be -1*(-52)/(-4) + 1. Let o be m(q). Does 12 divide (o/(-2))/((-2)/(-120))? False Let x(h) = -5*h**3 - h**2 + 28*h - 12. Does 14 divide x(-5)? True Let h(w) = -39*w - 15*w**2 + 7*w**3 + 371 - 16*w**2 - 382 - 8*w**3. Is 20 a factor of h(-30)? False Let w = 996 + -282. Is (6/(-4))/((-17)/w) a multiple of 21? True Let i(k) = 22*k**2 + 32*k + 33 - 14*k**2 - 9*k**2. Is 28 a factor of i(27)? True Let v = -13257 + 30490. Is 35 a factor of v? False Let d be 355/(-7) + 5/7 + -1. Let l = d - -43. Let i = l - -48. Is i a multiple of 20? True Let p = 67 + -64. Does 34 divide 226 - (-3 - -12)*p/(-9)? False Let k(g) = g**3 - 6*g**2 - 16*g + 4. Let m be k(8). Suppose -3*b + 572 = m*w, -w - 3*b + 205 = 53. Is w a multiple of 7? True Let d be 24/6 + 1014 + -2. Suppose 0 = 3*g + x - 1512, -2*x - d = g - 3*g. Is g a multiple of 13? False Suppose -2 = 2*l, -2392 = -3*q - 2*l + 222. Does 2 divide q? True Let z = -36 - -39. Suppose -z*t - t = -12. Suppose -s - 221 = -t*h + s, -4*h + 308 = 4*s. Is 14 a factor of h? False Let a = -3 - -4. Let g(z) = -36*z - 304. Let h be g(-9). Is a + -2 + (-15)/h*-28 a multiple of 5? True Let m(u) = -u**3 + 42*u**2
{ "pile_set_name": "DM Mathematics" }
1*o**2 - 4*o**2 wrt o. -48 Let s = 34 + -32. Find the third derivative of 65*r**6 - 46*r**6 - 15*r**s - 2*r + 2*r wrt r. 2280*r**3 Suppose 0 = -5*g + 15, -4*g + 9*g = -3*s + 69. Suppose -18 = -20*c + s*c. Find the second derivative of -137 - c*m + 2*m + 8*m**4 + 137 wrt m. 96*m**2 Let m(i) be the second derivative of 0 - 6*i - 3/4*i**4 + 0*i**3 + 7*i**2. Differentiate m(n) with respect to n. -18*n Let x(t) be the first derivative of -67*t**6/3 - 101*t**3/3 - 123. What is the third derivative of x(u) wrt u? -8040*u**2 Let b be 2/5 + 3/5. Let v be 15/(-6)*(-3 + b). Find the third derivative of 4*g**5 - 4*g**v - 8*g**2 - 2*g**5 + 3*g**2 wrt g. -120*g**2 Find the first derivative of -19*r**2 + 25 + r**2 - 72*r**2 - 27*r**2 wrt r. -234*r Let i(y) be the third derivative of 59*y**7/210 + y**4/24 - 36*y**2 - y. What is the second derivative of i(k) wrt k? 708*k**2 Let x(a) = 20*a**4 + 10*a**3 - 5*a**2 - 5*a - 8. Let b(c) = 2*c**3 - c**2 - 1. Let o(j) = 5*b(j) - x(j). Find the second derivative of o(l) wrt l. -240*l**2 Let i = 0 - -2. Let s(b) = b + 18. Let j be s(-12). Differentiate 13*h**i - j*h**2 + 0 + 3 wrt h. 14*h Let o(d) be the first derivative of d**6/6 - 17*d**3 + 187*d**2/2 - 6. What is the second derivative of o(a) wrt a? 20*a**3 - 102 Let l = -108 + 114. Find the first derivative of -l + 17 - 3 - 11*a**2 wrt a. -22*a Let z(x) be the first derivative of -x**3/3 + 9*x**2 - 34*x + 57. What is the first derivative of z(t) wrt t? -2*t + 18 Let v(c) = -c**4 + c. Let h(r) = -2*r. Let d(x) = -26*x. Let u(q) = d(q) - 6*h(q). Let s(y) = u(y) - 2*v(y). Find the second derivative of s(m) wrt m. 24*m**2 Let n(l) be the second derivative of -l**7/840 - 11*l**5/120 + 5*l**4/3 + 29*l. Let u(a) be the third derivative of n(a). What is the derivative of u(v) wrt v? -6*v Suppose -2*g = -s - 21, 3*s + 4 + 5 = 0. Differentiate 12*v**4 - 5 + g*v**4 - 14*v**3 + 14*v**3 with respect to v. 84*v**3 Suppose -b + 2 = -0*b. Find the third derivative of 3*h**2 - b*h**2 - 13*h**2 + 7*h**6 + 4*h**6 wrt h. 1320*h**3 Let l(v) be the third derivative of -23*v**7/105 + 45*v**5/4 + 971*v**2. Find the third derivative of l(s) wrt s. -1104*s Let f = 49 + -44. Let w(d) = -16*d - 39. Let a(q) = 11*q + 26. Let r(j) = f*w(j) + 7*a(j). Find the first derivative of r(s) wrt s. -3 Let s = 3 - 0. Let p(c) be the first derivative of -13/5*c**5 + 0*c**2 + 0*c**4 + 3 + 0*c**s - c. What is the derivative of p(j) wrt j? -52*j**3 Let r(y) = -94*y**2 - 12*y - 4. Let p(x) = -2*x**2 + 1. Let z(j) = -2*p(j) - r(j). Find the second derivative of z(t) wrt t. 196 Let x(o) = -11*o**4 + 4*o**3 + o**2 + 41. Let r(j) = 21*j**4 - 7*j**3 - 2*j**2 - 83. Let m(l) = -6*r(l) - 10*x(l). What is the third derivative of m(s) wrt s? -384*s + 12 Let g(t) = t**4 - 70*t**3 - 258*t**2 + 5*t - 11. Let i(f) = -f**4 - f**2 - f + 2. Let o(b) = -g(b) - 5*i(b). Find the third derivative of o(d) wrt d. 96*d + 420 Differentiate 186 + 6*l**2 + 8*l + 79 - 5*l**2 wrt l. 2*l + 8 Let d be 5*(192 - 3) - 3. Differentiate -22 - 38*r**3 - d*r + 942*r wrt r. -114*r**2 Let c = 35 + -14. Suppose c*a = 16*a + 20. Find the first derivative of 2*o**3 - o**3 - a*o**4 + 2 - o**3 wrt o. -16*o**3 Let b be 0/(-3) + (-6)/(-2). Suppose 0 = 5*f - b*s - 19, -5*f - 3*s - 3 + 4 = 0. Find the third derivative of 5*r**f + 0*r**2 - 3*r**4 + 6*r**4 wrt r. 72*r Let k(q) = -2*q**3. Let p(d) = 198*d**3 - 243*d. Let i(a) = 5*k(a) - p(a). What is the second derivative of i(b) wrt b? -1248*b Let y = -40 - -73. Find the first derivative of 2*h**3 - 3*h + 2*h**3 + 10 + 2*h**3 - y wrt h. 18*h**2 - 3 Let w(s) = s**4 - s**3 + s**2 + s + 1. Let r(a) = -a**4 + 18*a**3 - 13*a**2 - 6*a - 2. Let b(c) = -r(c) - 6*w(c). Find the third derivative of b(y) wrt y. -120*y - 72 Let m(v) = 116*v + 143. Let b(x) = -29*x - 36. Let w(p) = p**2 - 6*p - 25. Let j be w(8). Let a(h) = j*b(h) - 2*m(h). Find the first derivative of a(q) wrt q. 29 Find the second derivative of 349 - b + 335 - 721 - 831*b**2 + 120*b**2 wrt b. -1422 Let a = 5 - 3. Find the third derivative of -1702 + 1702 - 12*t**3 + 7*t**2 + 16*t**a wrt t. -72 Let u(x) = -50*x**3 - 21*x**2 + 3*x + 3. Let d(r) = 49*r**3 + 19*r**2 - 4*r - 4. Let w(h) = -3*d(h) - 4*u(h). What is the third derivative of w(v) wrt v? 318 Let q = 8 + -9. Let u = q + 3. Find the second derivative of 4*w**u + 9*w - 12*w**2 - 4*w wrt w. -16 Let k(w) be the third derivative of -w**7/560 + w**6/720 - 3*w**5/20 + w**2. Let i(n) be the third derivative of k(n). Find the first derivative of i(p) wrt p. -9 Let f = 90 - 70. What is the first derivative of 102 - 3*s - 131 + f*s wrt s? 17 Suppose 4 = 4*u - 8. What is the third derivative of -96 + 4*m**2 + 96 + 2*m**u wrt m? 12 Find the second derivative of -35*s**3 + 2*s + 176 + 39*s**3 + 6*s**4 + 0*s wrt s. 72*s**2 + 24*s Let p = 53 + -53. Find the first derivative of -26*w**2 + p + 4*w**2 + 27 wrt w. -44*w Let r(o) = -3*o**2 + 28*o - 58. Let v be r(6). Let f(l) be the first derivative of 7 + 8/3*l**3 + 0*l + 4*l**v. What is the second derivative of f(d) wrt d? 16 Let k(y) be the second derivative of 107*y**5/10 - 103*y**2 + 66*y + 1. What is the derivative of k(h) wrt h? 642*h**2 Let v(q) be the first derivative of -2 - 9*q + 12*q - 4*q**4 + 17 + 12*q. Differentiate v(z) wrt z. -48*z**2 Suppose 25*y = 21*y + 12. What is the third derivative of -3*a**y - 2*a**2 - 9*a**3 + 0*a**3 + 26*a**2 wrt a? -72 Let i(o) be the third derivative of 0*o + 11*o**2 + 0*o**4 + 0*o**5 + 1/42*o**7 + 0 + 0*o**6 + 13/6*o**3. Differentiate i(g) with respect to g. 20*g**3 Let v(a) be the third derivative of -a**8/84 - a**6/20 - 47*a**5/60 - 39*a**2. Find the third derivative of v(u) wrt u. -240*u**2 - 36 Suppose -3*j - 16 = -4*y, 3*j = 5*j. Find the second derivative of 3*l + 3*l + 2*l + 2*l**5 - y*l**5 wrt l. -40*l**3 Let g(m) = -61*m**3 + 3*m**2 + 48*m + 3. Let n(a) = -183*a**3 + 8*a**2 + 144*a + 8. Let t(r) = -8*g(r) + 3*n(r). What is the second derivative of t(w) wrt w? -366*w Let a(m) = -199*m**2 - 16*m - 371. Let p(t) = 4*t + 1. Let k(c) = -a(c) - 4*p(c). What is the derivative of k(j) wrt j? 398*j Let s(o) = 2*o**3 + 1. Let r(u) = 188*u**3 + 3*u**2 - 14*u - 3. Let k(w) = -r(w) - 3*s(w). What is the third derivative of k(b) wrt b? -1164 Differentiate 39 - 15 - 98*x**2 - 17 - 19 with respect to x. -196*x What is the second derivative of -4 + 7 + 4*o - 7 - 23*o**2 + 2*o**3 wrt o? 12*o - 46 Suppose -5*f = 9 + 16, 11 = 3*b - f. Find the second derivative of b - 7*t**5 - 4*t - 6*t + 12*t - 6*t wrt t. -140*t**3 Let x(p) = -324*p**2 + 7*p + 293. Let y(u) = 163*u**2 - 3*u - 146. Let q(v) = -3*x(v) - 7*y(v). What is the derivative of q(z) wrt z? -338*z Let f(j) be the third derivative of -67*j**7/70 - 5*j**4/8 + 7*j**3/2 - 835*j**2. What is the second derivative of f(k) wrt k? -2412*k**2 Let f(j) be the first derivative of -j**7/7 + 139*j**5/5 + 13*j**3/3 + 2*j**2 + 96. Find the third derivative of f(n) wrt n. -120*n**3 + 3336*n What is the second derivative of 6 + 1443*h**3 - 4*h**4 + 84*h - 7 - 1423*h**3 wrt h? -48*h**2 + 120*h Let v(t) be the first derivative of -413*t**2/2 - 214*t + 414. What is the first derivative of v(j) wrt j? -413 Find the first derivative of 27 + 7*n**2 + 10*n**2 + 11*n**2 wrt n. 56*n Suppose -14 - 4 = -3*a. What is the third derivative of 0 - y**a + 25*y**2 - 19*y**2 + 0 wrt y? -120*y**3 Let o be -4*3/6 - -5. Let b(f) = f + 9. Let c be b(-6). Differentiate 1 + 13*v**4 - o*v**4 + c wrt v. 40*v**3 Let a(p) be the second derivative of p**8/6720 - p**6/360 - p**4 + 8*p. Let z(f) be the third derivative of a(f). Find the second derivative of z(m) wrt m. 6*m Let r = 18 + 2. Suppose 4*m - 4 = 5*p + r, -2*p + 41 = 3*m. What is the derivative of 3*x**3 - 2 - 11*x**2 + m*x**2 - 2 wrt x? 9*x**2 Let o(x) = 893*x**3 - 9*x**2 - 2*x + 49. Let a(v) = -892*v**3 + 12*v**2 + 2*v - 48. Let u(j) = -3*a(j) - 4*o(j). What is the second derivative of u(f) wrt f? -5376*f What is the third derivative of 233*k**2 + k**6 + 20*k**6 + 2*k**4 + k**6 + 140*k**6 + 6*k**6 wrt k? 20160*k**3 + 48*k Let x = -106 + 108. Suppose -3*w + 7*w = 0. Differentiate x + 14*j - 1 + w - 3 wrt j. 14 Let x(h) be the first derivative of -5*h**8/28 + 11*h**4/12 + 10*h - 5. Let v(b) be the first derivative of x(b). Find the third derivative of v(m) wrt
{ "pile_set_name": "DM Mathematics" }
+ 3*t - 3*i + 14 = 0, -4*i = -2*t - 2. Suppose -t*c = -17*c + 996. What are the prime factors of c? 83 Let o(f) = 16*f**2 + 24*f + 139. What are the prime factors of o(-7)? 5, 151 Let z = -210 + 372. Suppose 0 = -3*r + 6*r - z. What are the prime factors of r? 2, 3 Let t(a) = -a**3 - 9*a**2 - 10*a - 12. Let z be t(-8). Suppose -2*j + 7*j - 865 = 5*u, -z*j = -u - 164. List the prime factors of u/(-5) - (-5)/(-25). 5, 7 Let m = 1359 + -494. List the prime factors of m. 5, 173 Let b(h) = -247*h**3 - h**2 + h + 2. List the prime factors of b(-1). 13, 19 Let m(t) = -2*t - 5. Let n be m(-5). What are the prime factors of (-1 + 3)/(n - (-1096)/(-220))? 2, 5, 11 Let d(n) = -n**2 - 1. Let f(i) = -4 + 13*i**2 - 4*i - 16*i**2 + 3*i + 0*i. Let z(r) = 2*d(r) - f(r). List the prime factors of z(0). 2 Let c be 1 + -78 + -1*1. Let s = -38 + 1. Let v = s - c. What are the prime factors of v? 41 Suppose 15610 = 14*c + 21*c. What are the prime factors of c? 2, 223 Suppose -46*c - 32*c + 84942 = 0. What are the prime factors of c? 3, 11 Let h(d) = 93*d + 8. List the prime factors of h(1). 101 What are the prime factors of 33/(-55)*-15 + 3314? 3323 Let x be (531/28 - (-24)/32)*-7. What are the prime factors of x/(-5)*(-4)/((-32)/20)? 3, 23 Let b(g) = 1. Let n(l) = -l**2 + l - 2. Let f(c) = 2*b(c) + 3*n(c). Let w be f(2). What are the prime factors of (36/w + 3)*-30? 2, 3 Let c(x) = -x**2 + x + 5. Let p be c(4). Let s(o) = 2*o**2 + 8*o + 5. Let y be s(p). Suppose -4*q = y - 151. List the prime factors of q. 2, 13 Let o(f) = -4*f**2 - 201*f + 47. What are the prime factors of o(-31)? 2, 1217 Suppose a = -3*o + 242, o + 254 - 1266 = -4*a. Let p = a + -135. What are the prime factors of p? 7, 17 Suppose 0 = -8*n - 10240 + 44544. What are the prime factors of n? 2, 67 Let c = -1212 - -2280. What are the prime factors of c? 2, 3, 89 Let b be 540 + (0 - 2)*1. Suppose -x + b = 5*f + 143, 0 = -4*f - 5*x + 337. What are the prime factors of f? 2, 3, 13 Suppose -384 = -11*x + 3*x. Let a = x - 36. List the prime factors of a. 2, 3 Let g(b) = -83*b - 110. What are the prime factors of g(-5)? 5, 61 Let m be (-9)/(-4 - 44/(-12)). Let d = m - 9. Suppose 120 + d = 3*b. List the prime factors of b. 2, 23 Let i = 45 - -10. Let r(x) = -14*x + 6. Let v be r(2). List the prime factors of (-268)/v - 10/i. 2, 3 Suppose 3679 = m + 5*u, -3*m - 10*u = -13*u - 11091. What are the prime factors of m? 2, 1847 Let v = 549 + -1058. Let d = -286 - v. What are the prime factors of d? 223 Let z(w) = 72*w - 77. List the prime factors of z(4). 211 Suppose 11*i + 4*a - 8705 = 6*i, 3*i + 5*a = 5210. What are the prime factors of i? 5, 349 Let u = -673 - -1860. List the prime factors of u. 1187 Let c = 107 - 14. Let b = 33 + c. What are the prime factors of b? 2, 3, 7 Let b = 590 - 166. List the prime factors of b. 2, 53 Let z be ((-180)/(-12))/(2/2). Let s(a) = -a**2 + 15*a + 17. List the prime factors of s(z). 17 Suppose -2*j - m + 3711 = -0*m, 0 = 5*j - m - 9288. List the prime factors of j. 3, 619 What are the prime factors of 70/(-21)*9093/(-14)? 5, 433 Let b(d) = d + 31*d**2 + 8*d - 7*d. List the prime factors of b(-1). 29 Let b = 2 + 16. Suppose -3*z + 2 + b = -5*y, 3*z + 5*y = -20. Suppose -w - 5*t - 4 = -15, 3*t + 12 = z. List the prime factors of w. 31 Let z be -2 + 700/9 - 12/(-54). Let v = -64 + z. List the prime factors of v. 2, 3 List the prime factors of 5 + 0 + 0 + 5 + 2231. 3, 83 Let i be 1*2*(-6)/12. Let v = 10 + i. Let z = -4 + v. What are the prime factors of z? 5 What are the prime factors of 489/(-16)*-12*4? 3, 163 What are the prime factors of (-2)/24 - (-26024)/96? 271 Let a = 8082 + -4447. List the prime factors of a. 5, 727 List the prime factors of (-186 - -2)/8*49/(-1). 7, 23 Suppose 2*t - 5*b - 64 = 0, -100 = -t - 3*t + 3*b. What are the prime factors of (t/33)/((-4)/(-426))? 71 Suppose 15*k = 12*k + 30. Suppose -4*s + 2*s = 0. Suppose s = -t - 0*t + k. List the prime factors of t. 2, 5 Let o = -13 - -7. Let l(c) = -c**3 - 3*c**2 - c + 9. Let q(n) = -2*n**3 - 7*n**2 - 3*n + 19. Let i(p) = o*q(p) + 13*l(p). List the prime factors of i(4). 7 Let a = 630 - 444. Let b = a + -42. List the prime factors of b. 2, 3 Suppose 0 = -6*o - 0*o + 12. Let f(p) = -5*p - 8. Let g be f(-7). Suppose t - g = -o*t. List the prime factors of t. 3 Let v(s) = 7*s + 1. Let z(i) = 8*i. Let r(a) = -2*v(a) + 3*z(a). What are the prime factors of r(5)? 2, 3 Let k(s) = -2*s + 16. Let j be k(12). Let f be 2451/4 + 6/j. What are the prime factors of (-12)/20 - f/(-20)? 2, 3, 5 Let q = -198 + 1132. List the prime factors of q. 2, 467 Let z(f) be the second derivative of -f**4/12 - f**3 - 9*f**2/2 - 6*f. Let m be z(-6). List the prime factors of m*((-38)/6 - -3). 2, 3, 5 Let w = 2743 - 1310. List the prime factors of w. 1433 Let j(u) = u**3 + 20*u**2 - 26*u + 110. What are the prime factors of j(-21)? 5, 43 Let j = -10 + 30. Let f be (-6)/(-15) - (-92)/j. Suppose f*p - 4*p - 53 = -5*y, -4*y + 3*p = -31. What are the prime factors of y? 2, 5 Suppose -2*i = 4*u - 22, 2*i - 4*i - 2*u = -14. Let q be -2 + 8 - (i - 1). Let d = 12 + q. What are the prime factors of d? 2 Suppose p - 566 = -s, 15 = -5*s - 0. List the prime factors of p. 569 Let q(o) = -79*o**3 + o**2 - o + 3. List the prime factors of q(-2). 641 Let t(i) = -17*i + 44. Let j(q) = q**3 + 10*q**2 + 9*q - 7. Let m be j(-9). What are the prime factors of t(m)? 163 Let j(h) = -24 + 7*h - 7*h + 7*h. List the prime factors of j(10). 2, 23 List the prime factors of -7 - -11 - 1400/(-1 + -1). 2, 11 Let n = 7 - 9. Let r be (1/n)/(2/(-4)). Let q = r + 7. What are the prime factors of q? 2 Let i = 619 + -423. Let q = i + -121. List the prime factors of q. 3, 5 What are the prime factors of (-4)/38 + 15510/57? 2, 17 Suppose 0 = 6*w - 15*w + 9810. List the prime factors of w. 2, 5, 109 Let k(r) be the second derivative of -r**5/20 - r**4/4 + 4*r**3/3 - 9*r**2/2 - 12*r. What are the prime factors of k(-7)? 131 Let c = -94 + 63. Suppose -4*j = -95 - 197. Let u = c + j. What are the prime factors of u? 2, 3, 7 Suppose -2530 = 187*i - 189*i. What are the prime factors of i? 5, 11, 23 Let w(g) = 7*g**2 + 6*g + 2. Let d be w(-2). Suppose 2*f + 8 = 0, 2*b + 0*f + f - d = 0. Let m = 22 - b. List the prime factors of m. 11 What are the prime factors of ((-540)/25)/(-2)*(-100)/(-6)? 2, 3, 5 Let x = 32 + -25. Let m(s) = 8*s**2 - x*s**2 - 2*s**2 + 6*s + 7. List the prime factors of m(5). 2, 3 Let y(l) = l**3 + 14*l - 2. Let h = -6 + 4. Let b(v) = -4*v**3 + v**2 - 42*v + 7. Let r(f) = h*b(f) - 7*y(f). List the prime factors of r(6). 2, 3, 5 Let n(s) = s**2 - 7*s - 8. Let f be n(8). Let k = 7 - f. Suppose 0 = 2*m - 5 - k. What are the prime factors of m? 2, 3 Suppose -9*a + 382 = 1408. Let t = a + 261. List the prime factors of t. 3, 7 Let p(d) = -6*d**2 + 1. Let b(g) = -5*g**2. Let v(q) = 7*b(q) - 6*p(q). List the prime factors of v(4). 2, 5 Let h(z) = z**2 + 8*z + 5. Let m be h(-9). Suppose -15 - 45 = 5*d. Let k = m - d. What are the prime factors of k? 2, 13 Suppose 3*y - 5*c = -y - 2, -5*y + 5*c = 0. Let j be 182/21 - y/(-6). Suppose -5*a + 62 = 2*p, -93 = -3*p - j*a + 4*a. What are the prime factors of p? 31 Let m(z) = 19*z - 156. Let a be m(8). Let b(x) = x**2 + x + 0*x**2 - 4 + 0*x**2. List the prime factors of b(a). 2 Let y(c) be the second derivative of c**4/4 - c**3/6 + c**2 - 4*c. List the prime factors of y(2). 2, 3 Suppose 0 = -2*f + 7*f. Let d = f + 7. Let a = d + 19. List the prime factors of a. 2, 13 Let x = 57 - 40. Suppose 10*l - 507 = -x. What are the prime factors of l? 7 Suppose -2*k + 85 = k + m, 0 = -4*k - m + 114. Let b = k + -1. Suppose 0 = 4*y - v - b - 14, -5*y + 5*v = -60. What are the prime factors of y? 2, 5 Let y be (7/(-3))/(3/(-9)). Suppose 0 = i - 1 - y. What are the prime factors of i? 2 Let d = 701 - 468. What are the prime factors of d? 233 Suppose -4*x = 5*w - 7192, -5753 = -4*w - 0*x - 3*x. Suppose 11*h - w = -435. List the prime factors of h. 7, 13 Suppose g - 2163 = -2*g + 3*q, -2*q = -4*g + 2894. Suppose -543 = -4*r + 5*d + 398, -3*d = 3*r - g. What are the prime factors of r? 239 Suppose 3*x = -3*h + 3, -2*x + 4*h = -0*x - 20. Let i(b) = 4*b**2 + x - 5 + 1 + b. List the prime factors of i(3). 3, 13 Suppose -3*i = -4*v, 2*v + 2 =
{ "pile_set_name": "DM Mathematics" }
olve 0 = 4*v - z + 44, -10 = 14*v - 15*v - 5*z for v. -10 Solve -3*n = -n + 8, -8*n - 24 = 2*h - 4*n for h. -4 Solve -5*l + 5*z = -5160 + 5140, -2*l + 12 = -4*z for l. 2 Solve -7*m - 77 = 5*c - 11, 0 = c + 5*m + 60 for c. 5 Solve 4 = 2*q + 3*v, 76*q + 2*v = 80*q + 24 for q. -4 Solve 2*z + 4 = 2*g, -9 + 15 = -14*g - 3*z for g. 0 Solve 3*b - 2*f + 9 = 0, 185*f = 2*b + 189*f + 22 for b. -5 Solve 0 = -4*z - 4*n - 72, -4*z + 813*n = 809*n + 96 for z. -21 Solve -4*y - 2*a - 48 = -26, -3*y - 3*a - 21 = 0 for y. -4 Solve 5 = 5*p - 2*b, 12*b + 36 = -16*p + 8*b for p. -1 Solve 3*r + 39 = 3*p, -2*r - 34 = -p - 2*p for r. -5 Solve 3*z - 8 = -326*q + 320*q - 20, 4*z + 2*q = -16 for z. -4 Solve -2*t + 5*t + 56 = 2*z + 37, -z = -5 for t. -3 Solve -k - k = -5*x - 40, 5*x - 7*k + 65 = 0 for x. -6 Solve -3*i = -4*u - 47, 3412*u - 3410*u + 25 = 3*i for i. 1 Solve 0 = -3*m + b + 8, 245 = -4*m + b + 254 for m. 1 Solve 7*q + s - 20 = 9*q + 7*s, -12*s = -2*q + 52 for q. 2 Solve -5*i - 4 = 2*p, 18*p - 25 - 37 = 4*i for i. -2 Solve -4*y + 19 = p, -44*y + 24 = 4*p - 41*y for p. 3 Solve -16418*i + 5*m + 112 = -16421*i, -5*i - 5*m - 120 = 0 for i. -4 Solve -2*c = -g - 1, 510*c - 1 = -2*g + 513*c for g. 5 Solve -5*k = -141*v + 137*v - 54, -4*k + 70 = -30*v for v. -1 Solve -4*p - 28 = 0, 5*i + 1 = -755*p + 757*p for i. -3 Solve 4*d + 18 = 3*y, 3*y + 4*d + 6180 = 6150 for y. -2 Solve -12 = -2*d - 2*x, -5*x = -1353*d + 1348*d + 70 for d. 10 Solve 0 = 2*p + 10, 459*c - 463*c = 3*p + 7 for c. 2 Solve -w - 13 = 2*o, -22 = 3*o + 835*w - 833*w for o. -4 Solve -2*k - z - 10 - 2 = 0, 87*k + z = 87*k for k. -6 Solve 4*n + 2*s - 20 = 0, -4*s + 7*s + 1 - 31 = 0 for n. 0 Solve 0 = -4*w - 2*l - 14, 112*w - 111*w = l - 8 for w. -5 Solve -19*b + 16*b + 26 = -2*s, -4*b = 4*s + 12 for s. -7 Solve t = -5*n - 8, 787*t + 4*n = 784*t - 2 for t. 2 Solve 4*l + 104*k = 99*k - 18, 2*l + 3*k = -12 for l. 3 Solve -5000*m + 5001*m + l + 5 = 0, -2*m = -5*l - 18 for m. -1 Solve -3*z + 4*h = -20, -3*h - 146 = -76 - 73 for z. 8 Solve -4*k + 104 = -2*l + 76, 4*k = 4*l + 40 for l. -6 Solve -10*q + r = -9*q - 3, r = -5*q - 9 for q. -1 Solve 73*l - 5*v + 55 = 70*l, 5*l + 1 = -3*v for l. -5 Solve -8*k = -2*w + 88, -4*k - 26 - 18 = 0 for w. 0 Solve 2*s + 5*n = -8, 5*s = 3617*n - 3616*n - 20 for s. -4 Solve 0 = -4*y + 4, 652*y - 328*y + 8 = -2*b + 328*y for b. -2 Solve -27*v = 113 - 13 + 8, 2*v - 8 = 2*r - 0*r for r. -8 Solve -54 = 2*u + 112*i - 106*i, 2*u + 2*i = -34 for u. -12 Solve 2*a + h = 9, 5*a - 2054 + 2026 = -3*h for a. -1 Solve 21*y - 5*r - 73 = 27*y, 3*r = -2*y - 39 for y. -3 Solve 8 = 4*r - 2*j, -2*r + 54 = -4*j + 38 for r. 0 Solve 8*n - 13*q = 12*n - 25, 11 = 2*n + 5*q for n. 3 Solve -5*x - 2*z = 24, 3*x - 103 = -4*z - 151 for x. 0 Solve -3*v - 4*g = -33, -465*v = -470*v - 2*g + 27 for v. 3 Solve 18 = 2*n + 24*o - 28*o, -3*o + 25 = 4*n for n. 7 Solve -28 = -6*z + 5*f, -4*f - 79 = -5*z - 55 for z. 8 Solve -3*h = -3*n - 33, -4*h + 20*n = 17*n - 40 for h. 7 Solve -2*w + j = 5, 11 = -5*w - 13*j + 16*j for w. -4 Solve -4*p = q - 9, 0 = -4*p + 5*q - 9*q + 24 for p. 1 Solve 0 = -3*h - 2 - 19, g + 9*h - 4*h + 37 = 0 for g. -2 Solve -2*l - 8 = 3*j, 3*j + 41 = l + 27 for j. -4 Solve 0 = -3*f - 39*s + 38*s - 6, 0 = -4*f - 4*s for f. -3 Solve 13 = b - 4*j, 3*j + 13 = -5*b - 37 for b. -7 Solve -50*t = -f - 54*t + 9, 2*f - 6 = 4*t for f. 5 Solve 0 = -5*m + 4*i - 46, 6*i - 48 = -13*m + 10*m for m. -2 Solve 7*r - 5*r = 6, 453*r - 450*r = 9*t + 81 for t. -8 Solve 0 = -180*v + 181*v - 3*a + 9, 3*a - 18 = 2*v for v. -9 Solve 2*u = -4*y + 40, 0 = -42*y + 43*y - 3*u + 4 for y. 8 Solve -4*f - g = 70, -4*g = 8*f - 6*g + 148 for f. -18 Solve 1246*a = 1250*a - 5*n + 50, 5*a + 55 = 5*n for a. -5 Solve 0 = -3*x + 3*j - 3, 69*j - 14 = 4*x + 70*j for x. -3 Solve 3*w + 4*h + 17 = 0, 5*w + 2*h + 19 = -0*w for w. -3 Solve 3*w = -3*p + 6, -16*w + 5*p = -8*w - 81 for w. 7 Solve 113*x + 12 = -2*f + 117*x, 8*x - 40 = 0 for f. 4 Solve -3*y - 5*a + 530 - 554 = 0, 5*y + 12 = a for y. -3 Solve -621*z - 3*t - 44 = -617*z, -106 = 18*z + 2*t for z. -5 Solve 13 = -11*g + 3*j, 2*g - 2*j = -j - 6 for g. 1 Solve -3*k + 1950*h = 1947*h + 9, -2*k - h = 21 for k. -8 Solve -2*w + 323 = 5*r + 312, -2*w = -r - 5 for w. 3 Solve -r + 4 = 5*x, 5*x + 98*r - 8 = 101*r for x. 1 Solve -5*q = -4*x - 41, 11 = 3*q - 2*x - 8 for q. -3 Solve -1 = -4*i - a, -8949*i + 5*a - 23 = -8951*i for i. -1 Solve -9*d = 3*i - 12, -5*d - i = 17555 - 17569 for d. 5 Solve 4*i = 32*n - 35*n - 2, -3*n + 2 = 2*i for n. 2 Solve -12*t - s - 17 = 0, s + 154 - 311 = -2*t - 164 for t. -1 Solve 8 = -2*x, p + 21*x - 23*x = 9 for p. 1 Solve 5*q = -1171*i + 1172*i + 9, 0 = 5*i - 2*q + 22 for i. -4 Solve 9433*z - 6 = s + 9435*z, -4*s + 2*z - 4 = 0 for s. -2 Solve 2*v + 4*w = -6, 293*v + 4*w = 293*v - 16 for v. 5 Solve 42668*v - 4*s = 42666*v + 18, -2*v - v = 3*s for v. 3 Solve 6779 - 6742 = h + 3*o, -11 = -h - o for h. -2 Solve -q + 2*p = -4, 3*q - 2245*p = -2244*p - 3 for q. -2 Solve -79*c + 80*c + 5*i - 19 = 0, -3*c + 24 = 4*i for c. 4 Solve 3*w = -5*q + 30, -122*w + 127*w = q + 22 for w. 5 Solve -2*m = 7*d + 88, -54*m + 3*d + 47 = -53*m for m. 5 Solve -x - 15*k - 1 = -14*k, -5*x - 22*k + 29 = 0 for x. -3 Solve g - 86*h = -81*h - 4, -4*g + 3*h = 16 for g. -4 Solve 584*d + 3*a + 31 = 588*d, 14 = -4*d - 6*a for d. 4 Solve -21 = -22*p + 19*p + 3*f, 0 = 3*p - f - 25 for p. 9 Solve -5*a - 2*i = -47, 8*i + 8 + 46 = 2*a for a. 11 Solve 3*a = -26270*w + 26267*w + 3, -a = 2*w - 4 for w. 3 Solve 2365*l - 2364*l - 4*t = -11, 3*l - 7 = 2*t for l. 5 Solve 8 = m - 4*n, 4*m + 68*n - 8 = 72*n for m. 0 Solve -704 = 5*f + o - 740, 0 = 2*o + 8 for f. 8 Solve 4*u = -16, 3*u = 2673*q - 2677*q - 4 for q. 2 Solve -18426*s + 18423*s = 3*o + 69, 0 = 3*o + s + 21 for o. 1 Solve -210*x + 206*x + 24 = -5*v, x - 5*v = 21 for x. 1 Solve 9*p - 4*p + 35 = 0, -2*i = -118*p + 117*p + 1 for i. -4 Solve -i = -9*v - 49, -271*i + 2*v = -268*i - 22 for i. 4 Solve 3*u - 15 = -3*i, -429*i + 25 = -424*i + 3*u for i. 5 Solve -5*d - 87 = -27*u, -d = 2*u - 4 + 14 for u. 1 Solve -s = -g - 8, -262*g + 264*g - 3*s = -17 for g. -7 Solve -4*h + 38 + 1 = 3*s, 0 = -s + 5 for h. 6 Solve -69 + 34 = -5*w, 0 = 4*y - 2*w + 34 for y. -5 Solve z + 27*v - 12 = 32*v, 3*z + 3*v - 18 = 0 for z. 7 Solve 5*k - l - 1 = 0, -29*l + 238 = k + 121 for k. 1 Solve 2*u - 30*l = -34*l - 16, -2*l - 8 = 5*u for u. 0 Solve 0 = -2*q - 2*o - 0*o - 34, 11*q - 5*o = -139 for q. -14 Solve 4*z + 636*y - 632*y = 28, -3*y = 2*z - 11 for z. 10 Solve 4*d = -29*t + 30*t, 0 = -4*t - 16 for d. -1 Solve 3*b + 3*l + 4802 = 4823, 4*l = -5*b + 33 for b. 5 Solve 1 = -t, -40*z - 52 = -88*z + 4*t for z. 1 Solve 2*z + 4 = 3*d, 26*d = 23*d - 5*z + 11 for d. 2 Solve 56 = 52*r - 42*r + 2*m, 5*r - 32 = m for r. 6 Solve -4*z + 4 = 239*b - 237*b, -3*b = 5*z - 4 for z. 2 Solve -2*n + 198 = 3*p + 200, 0 = p for n. -1 Solve m - 6 = 4*x, -7*m + 2*x = -4*m + 12 for m. -6 Solve 3*b + 4*z = 15, z + 281 = 284 for b. 1 Solve -2*v - 33*j = -36*j + 9, 12 = -4*v + 4*j for v. 0 Solve -67*g + 3*a = -69*g + 19, 2*g - 5*a + 53 = 0 for g. -4 Solve -367*a = -362*a - 5*s + 20, 24*a - 19 = s for a. 1 Solve -2*d + 4*u + 20 = 0, -d + 141*u - 18 = 143*u for d. -4 Solve 5*s = -5*f + 25, -969*f = 2*s - 977*f + 10 for s. 3 Solve 193*m + 11 = x + 191*m, -11*x + 4*m = -13 for x. -1 Solve n - 2*t - 92 = -104, -3*n - 2*t - 4 = 0 for n. -4 Solve -5*g = 4*s - 10, 3*g - 2*s + 32 = 38 for g. 2 Solve 3*p = -3*b + 18, 3*b + 17*p = 6*b + 2 for b. 5 Solve -d - q = 13, -7*d + 2*q + 32 = -3*d for d. 1 Solve 0 = 35*q - 30*q + r - 16, -5*q - 3*r = -8 for q. 4 Solve 9 = 2*r + 3*m, 67*m - 65*m - 6 = -5*r for r. 0 Solve 134*o - 136*o + t = 14, 5*o - 2*t = -33 for o. -5 Solve 3*p + 3*g + 165 = 132, 2*g - 34 = 5*p for p. -8 Solve -3*v = -5*s + 4, 2*v - 8 = 263*s - 265*s for s. 2 Solve -5*c - 5*k = -5, -2*c - 211 + 203 = -3*k for c. -1 Solve -4*b = -50*k - 258, 498*k + 27 = b + 493*k for b. 2 Solve r = v - 3, 0 = -3*v + 4*r - 6 + 14 for v. 4 Solve -86*y + 89*y - 2*q = 0, y = q + 1 for y. -2 Solve -963*p + 34 = -7*a - 958*p, -3*a - 3*p = -6 for a. -2 Solve -19*t + v = -18*t + 1, 16 = 8*t - 2*v for t. 3 Solve 50*z - 4*g + 13 = 55*z, 0 = -8*z - 2*g + 34 for z. 5 Solve 5*y = -2*b + 107, -19 = 2854*b - 2852*b - y for b. 1 Solve -414*c - 1
{ "pile_set_name": "DM Mathematics" }
irst derivative of 13*w**5/5 + 14*w**2 + 2. What is the second derivative of c(l) wrt l? 156*l**2 Let w(t) = 29*t**2 + 5*t + 17. Let c(q) = -29*q**2 - 4*q - 18. Let s(k) = 5*c(k) + 4*w(k). What is the derivative of s(a) wrt a? -58*a Suppose -b = 2*b. What is the third derivative of 4*l**2 + 1 + b - 1 + l**3 wrt l? 6 Let k(c) = 16*c**4 + 3*c**3 - 3*c**2 + 19. Let v(j) = -j**4 - j**3 + j**2. Let m(o) = -k(o) - 3*v(o). What is the derivative of m(s) wrt s? -52*s**3 Let r(p) = -3*p**2 + p. Let j(h) = 5*h**2 + 3*h - 3*h - 2*h. Let i(o) = -6*j(o) - 11*r(o). What is the second derivative of i(q) wrt q? 6 Suppose -5*y + 44 = 14. Let a(u) = -u**3 - u**2. Let d be -2*(-3)/2*-1. Let f(v) = -3*v**3 - 2*v**2 - 1. Let x(r) = d*f(r) + y*a(r). Differentiate x(p) wrt p. 9*p**2 Let p(s) = 2*s - 12. Suppose x + 32 = 5*x. Let f be p(x). Find the third derivative of 0*i**2 - 6*i**2 + f*i**2 + 2*i**4 wrt i. 48*i Let y be 30/(-225)*-5*1. Let t(x) be the first derivative of 4*x + 0*x**2 + y*x**3 + 2. What is the first derivative of t(f) wrt f? 4*f Let y(v) be the first derivative of 2*v**6/3 - 16*v**3/3 - 1. What is the third derivative of y(q) wrt q? 240*q**2 Suppose -14 = -3*m - 2. Let a(p) be the second derivative of 0 + 0*p**2 - 1/4*p**m + p - 1/2*p**3. What is the second derivative of a(k) wrt k? -6 Let x(s) = -s**2 + 7*s - 8. Let j be x(5). What is the derivative of 0*c - 10*c - 3 + j*c + 4 wrt c? -8 Let m(s) = s**3 - 9*s**2 + 4*s - 34. Let d be m(9). Let p(l) = -l - 4. Let r be p(-6). What is the second derivative of 1 + r*y - 1 + 6*y**2 - 3*y**d wrt y? 6 Let c(q) = -7*q**3 - 3*q**2 - 6*q. Let s(h) = -7*h**3 - 2*h**2 - 5*h. Let x(u) = -2*c(u) + 3*s(u). What is the second derivative of x(n) wrt n? -42*n Let t(l) be the third derivative of 3*l**8/112 - 19*l**4/12 - 21*l**2. What is the second derivative of t(f) wrt f? 180*f**3 Let d be (5/1 - -2) + 1. What is the third derivative of 0*n**3 + 0*n**3 - 4*n**4 - n**2 + d*n**4 wrt n? 96*n Let b(a) be the second derivative of 11*a**8/56 + 4*a**4/3 - 16*a. What is the third derivative of b(h) wrt h? 1320*h**3 Let t(c) = 2*c**4 + 6*c**3 - 2*c**2 - 6*c. Let i(k) = k**3 - k**2 - k. Let b(u) = 6*i(u) - t(u). Find the third derivative of b(f) wrt f. -48*f Let j be (-4)/(-18) - (-387)/81. Let u(s) be the second derivative of 0*s**4 - 1/10*s**j - 2*s + 0 + 0*s**3 + s**2. What is the derivative of u(y) wrt y? -6*y**2 Suppose 4*f - 20 = -f. Find the second derivative of 16 - 16 + 4*d - 3*d**f wrt d. -36*d**2 Let s(q) = -q**3 - q - 1. Let n(t) be the first derivative of -5*t**4/4 - 3*t**2/2 - t - 4. Let w(x) = n(x) - s(x). What is the second derivative of w(j) wrt j? -24*j Let w(k) be the third derivative of 0*k + 1/30*k**5 + 3*k**2 + 0*k**3 - 1/120*k**6 + 0 + 0*k**4. What is the third derivative of w(j) wrt j? -6 Let j(c) = -10*c + 9. Let a(v) = -13 + 1 + 22 - 11*v. Let x(k) = 5*a(k) - 6*j(k). Differentiate x(w) with respect to w. 5 Let j(q) = 2*q - 3. Let y be j(4). Suppose 0*s + 5*b + 17 = 2*s, -y*s + 3*b = -14. What is the first derivative of g**3 + s - 3*g**3 - 2 wrt g? -6*g**2 Let f(g) = -6*g**4 + 3*g**3 + 2*g + 3. Let l(b) = b**3 + b + 1. Let w(r) = -f(r) + 3*l(r). Find the second derivative of w(y) wrt y. 72*y**2 Suppose q + 2*q = -15. Let a be (-4)/10 - 12/q. Find the third derivative of -g**6 + g**6 - 2*g**6 + g**a wrt g. -240*g**3 Let b(w) = w - 9. Let g(a) = 0 - 3 - 5 + 3. Let f = 13 - 8. Let v(n) = f*g(n) - 3*b(n). Differentiate v(p) wrt p. -3 Find the second derivative of -648*q + 627*q + 20*q**4 + 41*q**4 wrt q. 732*q**2 Let r(c) = 3*c**3 - 17*c**2 - 8*c. Let v(o) = 3*o + 6*o**2 + 34 - 34 - o**3. Let y(i) = 3*r(i) + 8*v(i). Find the third derivative of y(l) wrt l. 6 Let u(l) = -11*l**4 - 4*l**3 + 7*l - 4. Let c(h) = -11*h**4 - 5*h**3 + 7*h - 5. Let z(s) = 4*c(s) - 5*u(s). What is the second derivative of z(n) wrt n? 132*n**2 Let b(c) be the second derivative of c**5/4 - c**3 + 10*c. Find the second derivative of b(f) wrt f. 30*f Let b(t) be the first derivative of t**3 - 3*t**2/2 - 38*t + 60. What is the first derivative of b(v) wrt v? 6*v - 3 Let u(n) = -7*n**3 - 3*n**2 - 2*n - 3. Let w(m) = -m**2 - 1. Let s(r) = u(r) - 3*w(r). Find the second derivative of s(y) wrt y. -42*y Let d(y) be the second derivative of -2*y**4/3 + 5*y**3/2 - y. Find the second derivative of d(t) wrt t. -16 Let z(f) be the first derivative of -7*f**4/4 + 16*f**2 + 10. What is the second derivative of z(u) wrt u? -42*u Let a = -3 - -4. Let b be a/(-5) + (-80)/(-25). Find the second derivative of 2*x**b + 54 - 54 + 2*x wrt x. 12*x What is the third derivative of -5*j**5 - 3*j**6 + 25*j**6 - 6*j**2 + 5*j**5 wrt j? 2640*j**3 What is the first derivative of -2*j**4 - 812*j**3 - 30 + 812*j**3 wrt j? -8*j**3 Suppose 0 = -4*p + 2 + 6. What is the second derivative of 0*r**5 + 0*r**2 + 0*r**p - 3*r**5 + 2*r wrt r? -60*r**3 Let d(g) be the second derivative of -11*g**8/56 + 3*g**4/4 - 10*g. Find the third derivative of d(h) wrt h. -1320*h**3 Let b(n) = -10*n - 15. Let c(p) = -15*p - 23. Let j(w) = -8*b(w) + 5*c(w). Find the first derivative of j(a) wrt a. 5 Let c(i) be the second derivative of -i**7/1260 + i**5/120 - i**4/6 - i. Let t(v) be the third derivative of c(v). Find the first derivative of t(d) wrt d. -4*d Suppose 5*b = -3*x + 68, -24 = -3*x + x + 2*b. Suppose 5*r + s - 9 = x, -s = r - 5. Find the third derivative of q**2 + q**r - 2*q**5 + 0*q**2 wrt q. -60*q**2 Let t(v) = -48*v - 32. Let p(j) = -2. Let a(i) = -6*p(i) + t(i). Differentiate a(z) wrt z. -48 Let v(h) be the third derivative of -h**4/24 - 2*h**2. Let y be v(-3). What is the first derivative of y*z - z + 2 - z wrt z? 1 Differentiate 29 - 42*f**2 + 74*f**2 + f**4 - 34*f**2 with respect to f. 4*f**3 - 4*f Let l(n) = -n - 2. Let h(o) = o**2 + 9*o + 10. Let q be h(-7). Let p be l(q). What is the second derivative of -5*g - g**p + 4*g + 0*g**2 wrt g? -2 Let v(k) = k**2 - 2*k - 4. Let a be v(3). Let y = 0 - a. Differentiate -3*o**2 + 7*o**2 - y - 2*o**2 with respect to o. 4*o Differentiate -70*j - 51 - 28 + 6 wrt j. -70 Let v(b) be the third derivative of b**8/84 - b**4/6 + 10*b**2. What is the second derivative of v(u) wrt u? 80*u**3 Let f(h) = h**4 - h**3 - h + 1. Let r(y) = 6*y**5 - 6*y**4 + 6*y**3 + 8*y**2 + 6*y - 6. Let w(t) = -6*f(t) - r(t). Find the third derivative of w(l) wrt l. -360*l**2 Suppose 4*a = -4*b + 12, -4*b + 7 = a - 2*a. Suppose 4*d - 7 = 1. What is the second derivative of -d*p**5 + 0*p**5 + 4*p**5 - b*p wrt p? 40*p**3 Let y(c) be the second derivative of c**7/3 + 11*c**3/3 - 7*c. Find the second derivative of y(s) wrt s. 280*s**3 What is the third derivative of -3*s**2 + 9*s**2 - s**2 - 4*s**5 wrt s? -240*s**2 Let l(p) = 15*p**4 - 3*p**3 - 12*p - 3. Let z(i) = -104*i**4 + 20*i**3 + 84*i + 20. Let u(d) = 20*l(d) + 3*z(d). What is the second derivative of u(b) wrt b? -144*b**2 Let b(f) = -34*f + 28. Let o(c) = 11*c - 9. Let k(v) = 2*b(v) + 7*o(v). Differentiate k(p) wrt p. 9 Let l(c) be the second derivative of -4*c**4/3 + 47*c**3/6 - c. What is the second derivative of l(s) wrt s? -32 Suppose -2*k = 2*w + 2, 2*w + w - 5*k - 21 = 0. Find the third derivative of -6*o**2 - 3*o**3 + 1 - 1 + 0*o**w wrt o. -18 Let h(i) = i - 3. Let p be h(7). What is the second derivative of -4*y**4 - 3*y**p - 4*y + 8*y**4 wrt y? 12*y**2 Let o(l) be the first derivative of 3*l - 2/5*l**5 + 0*l**2 + 0*l**3 - 1 + 0*l**4. Differentiate o(u) wrt u. -8*u**3 Let l(p) be the second derivative of -3*p**4/4 - 2*p**3/3 + p**2 + 6*p. Let x(o) = o**2 + o + 1. Let y(s) = -l(s) - 4*x(s). Differentiate y(g) wrt g. 10*g Let f(i) be the first derivative of -3/2*i**2 + 0*i + 1/3*i**3 + 1/60*i**5 + 0*i**4 + 2. Let m(n) be the second derivative of f(n). Differentiate m(c) wrt c. 2*c Suppose -4*k = 4*h + 12, 2 = 4*k - h - 6. Let g = 1 + k. What is the first derivative of 0 + g + 0*i**3 - i**3 wrt i? -3*i**2 Suppose -4*p - i + 4*i + 3 = 0, -4*i = -4*p. What is the third derivative of x**2 - 9*x**p - 2*x**2 + 9*x**3 + 5*x**6 wrt x? 600*x**3 Let z(a) = -32*a**3 + 4*a**2 + 17*a - 4. Let j(m) = -32*m**3 + 3*m**2 + 16*m - 3. Let o(h) = -4*j(h) + 3*z(h). Find the second derivative of o(q) wrt q. 192*q Find the third derivative of 35 - 11*p**2 - 35 - 38*p**6 wrt p. -4560*p**3 Let m(d) = 17*d**4 + 6*d**3 + 6
{ "pile_set_name": "DM Mathematics" }
0. Let u(x) = 2 + 5 - 4 + x + r. Let a be u(-3). Solve -5*i + 5 + 0 = a for i. 1 Let k(s) be the second derivative of -s**5/20 + s**4/3 + s**3/3 - 3*s**2 - 3*s. Let w be k(4). Suppose w*b = b + 11. Solve -5 + b = -3*m for m. -2 Let t(o) = 2*o - 3. Let m be t(4). Solve 0 = 3*l + 2*l + m for l. -1 Let y be (-27)/(-21) - 2/7. Let j be -2 + 1 + y + 2. Solve j*t + 3*t - 5 = 0 for t. 1 Suppose 0 = -2*c - 2*c + 16. Solve -c*k + 2*k = 0 for k. 0 Let a = 0 - 0. Let p(i) = i - 5. Let j be p(5). Let b = j + a. Solve -15 = 5*y - b for y. -3 Let f(w) = w + 6. Let t be f(-3). Let m = -41 - -57. Suppose -t*y + y = -m. Solve 3 - y = -d for d. 5 Let p be ((-5)/2)/((-5)/10). Solve 3 = -p*s - 12 for s. -3 Let l(v) = v**2 - 7*v. Let s be l(7). Let y = 2 + s. Solve 0 = -y*c - 6 for c. -3 Let k be (0 - 6)*(-1)/2. Let j(t) = t**2 + 3. Let o be j(0). Let p be (2 - 3/o) + 5. Solve k = -m + p for m. 3 Let w = 14 + -3. Let p = -3 + w. Solve -4*m = -p*m - 16 for m. -4 Let r(j) = 2*j**3 - 29*j**2 + 14*j + 4. Let a be r(14). Solve a + 1 = 5*l for l. 1 Let k be (-60)/(-14) + 1/((-14)/4). Solve k*d - 2*d = 0 for d. 0 Suppose 0 = d + 2, -5*t = 2*d + 2*d - 2. Suppose 4*q = t*q. Suppose -4*x + 40 = 4*l, 3*x - 5 = -0*l + 2*l. Solve -3*g + l*g + 8 = q for g. -4 Suppose -18*u = 5*s - 17*u - 3, 0 = 4*s + 5*u + 6. Solve -t = -s - 3 for t. 4 Let j(o) = -o**2 + 11*o - 5. Let t be j(6). Solve 9*d - t = 4*d for d. 5 Let l(w) = w**2 + 10*w + 7. Let p be l(-10). Let g = p + -5. Solve 3*t - 10 = -g*t for t. 2 Let k be (-4)/(-12) + (-224)/6. Let l = -20 - k. Solve -l = 5*r + 3 for r. -4 Let z = -41 + 47. Solve -j = -z*j - 20 for j. -4 Suppose 2*m = -0 - 0. Solve 5*f + 10 - 25 = m for f. 3 Suppose -h + 3*p - p = 0, -3*p = 3*h + 27. Let g be 0*(3/h - -1). Let c = 7 + -2. Solve g = c*v - 3 - 2 for v. 1 Suppose -2*k + 8 = -5*c - 0*c, -5*c - 17 = -3*k. Suppose 4*z - z = k. Solve z = v + 4 for v. -1 Let j(b) = b**2 + 18*b - 63. Let z be j(-21). Let o(y) = -y + 15. Let q be o(0). Solve z = -2*l - l + q for l. 5 Let o = 30 - 25. Solve 0 = 2*x - x - o for x. 5 Suppose 5*c = 2*r - 9, 0*c - 5*c = 4*r - 3. Let a be (6/(-8))/(r/(-24)). Solve 3*u - 3 - a = 0 for u. 4 Suppose 3*a - 29 = -k - 2*a, 5*k = -3*a + 35. Solve 0 = -f + 5*f + k for f. -1 Let d = -4 - -6. Let l = -37 + 39. Solve l*f = -4 - d for f. -3 Let s(y) = y**2 - 2*y + 2. Let m(x) = 2*x**2 - 5*x + 4. Let d(f) = -2*m(f) + 5*s(f). Let i be d(0). Solve -i*g = -1 - 7 for g. 4 Let l be 9*((-13)/(-3) + -4). Solve 5 + 1 = l*z for z. 2 Let x(i) = -i**3 - 4*i**2 - i + 6. Let c be x(-3). Solve 2*y + y - 3 = c for y. 1 Suppose -4*l = -3*l - 2. Solve -8 - 2 = l*b for b. -5 Let x(w) = -w**3 + 2*w**2 + 5*w - 4. Let h be x(3). Solve -3*t = 1 + h for t. -1 Suppose -6*h + 66 = 5*h. Solve -h = 5*x - 21 for x. 3 Let v = 9 - 7. Suppose v*u = -0*u + 24. Suppose z = 5*z - u. Solve -2*n - 15 = z*n for n. -3 Let x be (-20)/8*(-16)/10. Suppose u + 21 = x*w, -2*w + 2*u = -0*u - 18. Let o be (-46)/(-10) + w/10. Solve 10*q + 5 = o*q for q. -1 Let o(c) = -8*c**3 - c - 2. Let u be o(-1). Solve 0 = -n - u + 5 for n. -2 Suppose 0 = 2*y - y. Suppose n = -y*n. Let p = -4 - -6. Solve p*q = -n*q for q. 0 Let h(s) = s + 1. Let i be h(-1). Suppose -2*t + 0 = -8. Let j = 12 + -8. Solve -j + i = t*l for l. -1 Let z(y) = -2*y + 6. Let h be z(5). Let t = 6 + h. Let a(f) = f**2 + 4*f + 1. Let x be a(-5). Solve -x*n + t*n = 0 for n. 0 Let c(z) = 5*z - 1. Let q be (1/(-3))/(1/(-3)). Let x be c(q). Solve l + x = -0*l for l. -4 Suppose 0 = -3*z - 10 + 28. Solve -4*q + 6 = -z for q. 3 Let x(o) = 3*o + 53. Let i be x(-15). Solve 5*b + i = -12 for b. -4 Suppose 0 = 2*d + 10 - 46. Solve -4*a + 2 = d for a. -4 Suppose -3*h + 0*h = 5*q + 9, 0 = 4*q - 3*h - 9. Solve q = 4*b - 6 - 2 for b. 2 Let m(h) be the first derivative of h**2/2 + 6*h + 2. Let n be m(-3). Let p be (-1 + n)/(2/4). Solve x - p*x - 12 = 0 for x. -4 Suppose 3*c - 24 = -9. Suppose -c*l + 23 = 3*m, 5*l - 10 = 3*m + 7. Let a = -1 + l. Solve -a*w = -w for w. 0 Let d be (-7)/(-14)*0/1. Solve d = z - 2 - 2 for z. 4 Suppose 0 = -9*o + 14*o - 370. Let f be o/14 - (-4)/(-14). Solve -2*i + f = -3*i for i. -5 Suppose 0*q = -3*q + 15. Let v = 7 - q. Let z(w) = w**2 - 2. Let o be z(v). Solve -2*c - o = -c for c. -2 Suppose 0 = -5*g - x + 9, -5*g + 5*x + 4 = -11. Let s(c) = c**2 - g*c**2 + 3*c**2 + c - 2 + 1. Let t be s(2). Solve 4*k = -t + 1 for k. -2 Let d(g) = g + 2. Let c be (-22)/(-8) + 3/12. Let l be d(c). Solve -4*s = 7 + l for s. -3 Let c be (-2)/(1/((-6)/4)). Let x(k) = -15*k + 1. Let d be x(-1). Suppose d = -c*g + 5*o, 3*g - 2*o + 1 = -0*o. Solve -i - g*i = 0 for i. 0 Suppose r + 0 = -5*k + 8, 4*k = 8. Let m(d) = d**2 + 2*d + 3. Let o be m(r). Solve -2 = o*g + 4 for g. -2 Let l(t) = -7*t - 10. Let j be l(-3). Solve -j = -2*v - 1 for v. 5 Suppose 0 = -11*d + 8*d + 6. Solve -d = 2*g + 8 for g. -5 Suppose 5*r - 8*r = -3. Suppose 5*y - 3*k - 51 = 0, -r = y + 5*k - 0. Solve y = -2*w + 3 for w. -3 Let n be (-1)/(-5) - 62/10. Let g = -3 - n. Let t be 3*g*4/18. Solve 2 = -t*z - 0 for z. -1 Let b = -47 + 49. Solve -4 = b*u - 0*u for u. -2 Let u be 1*-1 + (-14 - -15). Let c be -2 - -4 - 0 - 4. Let j be (6 - 0) + c/1. Solve -16 = -u*g + j*g for g. -4 Let g(i) = 3*i**2 - 2*i - 1. Let p(h) = 2*h**2 - h - 1. Let l be p(-1). Let u = -3 + l. Let v be g(u). Solve 3*z - v*z = 0 for z. 0 Suppose -4*i = i - 15. Suppose r + i = 6. Solve 3 = -0*n + r*n for n. 1 Let z(k) be the first derivative of -k**3/3 + 2*k**2 + 4*k - 5. Let s = -1 + 5. Let a be z(s). Solve -5*p + a - 24 = 0 for p. -4 Let k(l) = 6*l. Let h be k(3). Solve 2 + h = -5*g for g. -4 Suppose -2*x - 44 = -4*j - 16, -2*x - 8 = 0. Let b(o) = -2*o**2 + 5*o - 3. Let z be b(1). Solve z = -j*g + 5 + 5 for g. 2 Let z = 110 - 106. Solve -15 = -z*w + 7*w for w. -5 Let j(a) = -a**2 - a + 10. Let x be j(-3). Solve -5*l = -x*l + 1 for l. -1 Suppose -5*m - 4 = -9*m. Solve 0 = -t - m - 1 for t. -2 Let j(v) = -2*v**3 - 2*v - 1. Let s be j(-1). Suppose -s*a + 6 + 0 = 0. Solve a*m + 8 = -0*m for m. -4 Suppose 9*h = 3*h + 48. Solve -4*k - h - 4 = 0 for k. -3 Let v = -53 + 58. Solve a = v*a for a. 0 Let r(x) = x**2 - 3*x + 1. Let f be r(4). Suppose -5*l - 4*z + f = -2*z, -2*l + 1 = z. Solve -g + 2 = -l for g. 5 Suppose -5*o = 46 - 21. Let w = o + 13. Suppose 4*g - w = 0, 5*y + 9*g - 4*g - 25 = 0. Solve 0 = y*n - 12 for n. 4 Let a = -23 + 25. Solve a = b - 1 for b. 3 Suppose -24 + 104 = 4*r - 5*g, 2*r - 40 = 2*g. Suppose -3*y - r = -8*y. Solve -i = y*i + 15 for i. -3 Let j(p) = -p**2 + 11*p - 5. Let y be j(10). Solve -y*c + 24 + 1 = 0 for c. 5 Let t be (-12*(-8)/(-12))/(-2). Solve 2*q = t*q + 4 for q. -2 Suppose -q - 25 = -6*q, 0 = l + 5*q - 30. Solve -3*o + 7 = -l for o. 4 Let z be (-1 - -21)*(-6)/(-8). Let j(i) = -i + 19. Let w be j(z). Solve -10 - 6 = -w*h for h. 4 Let c be (-5)/7 + (-2)/7. Let h = 4 + -2. Let b = c + h. Solve 2*t - b = t for t. 1 Let k = 17 - -3. Suppose 0 = 2*t + 1 + 1. Let r(w) = -4*w + 1. Let n be r(t). Solve k = n*v - v for v. 5 Suppose -5*z + 25 = -20. Suppose 2*m = 3*t - 4, 4*t - z + 3 = 3*m. Solve -2*u + 5*u + 12 = t for u. -4 Let k(i) = i**2 + 6*i + 1. Let z be k(-7). Suppose r - 4 + 1 = 0. Solve 0 = r*n + 17 - z for n. -3 Suppose 5*d + 10 = 60. Solve 5*u + d = -0 for u. -2 Let h = -61 + 67. Solve h = -2*t - t for t. -2 Suppose 121 - 1 = 5*v. Suppose 3*y - 3*z = 22 + 5, -3*y + 2*z + v = 0. Solve -y*g = -3*g - 3 for g. 1 Let r = -13 - -18. Solve 2*w = -r - 1 for w. -3 Suppose 36 = -0*w + 4*w. Let d = w - 4. Solve -2*i = 3*i + d for i. -1 Let o be 45/27 + (-1)/(-3). Solve 7*d = o*d + 20 for d. 4 Let m(j) = -j + 8. Let w be m(5). Solve w*d + 9 = 24 for d. 5 Let u(v) = -v + 16. Let f be u(-7). Let g = -23 + f. Solve g = -b - b for b. 0 Suppose -20 = -3*d + 2*d - 4*w, 4*d = -2*w + 10. Let h(v) = v**3 - 7*v**2 + 5. Let m be h(7). Let q = -2 + m. Solve d = q*l - 0*l + 6 for l. -2 Let o = -14 + 19. Solve -5*y + 0*y = -o for y. 1 Suppose d = 5*q - 3 - 5, 3*d - 2*q - 2 = 0. Suppose 0*s + 8 = 4*s + 4*c, 5*c - 4 = -d*s. Solve 17 - s = -3*h for h. -5 Let k(n) = n**3 + 4*n**2 - 7*n - 6. Let i be k(-4). Let h be (-16)/88 + 70/i. Solve h*o - 2 = 2*o for o. 2 Suppose 4 = -3*v + 4*a, 2 = a + a. Let d = 1 + 5. Suppose q = 2*q - d. Solve -2*j = -v*j + q for j. -3 Let i(p) = -p**3 + 6*p**2 + p - 1.
{ "pile_set_name": "DM Mathematics" }
**4 - 15*x**3 + 693*x**2 + 398494*x wrt x? 24*x**2 - 90*x + 1386 What is the third derivative of 48628*c**3*u**3 - 123*c**3*u**2 - 46*c**3 wrt u? 291768*c**3 Differentiate -5*c**2*q**3 + 6*c**2 + 7639*c*k + 22*k*q**3 - 1567*k + 9*q**2 with respect to c. -10*c*q**3 + 12*c + 7639*k Find the second derivative of 46*d**3 - 14009*d**2 - 287317*d. 276*d - 28018 Differentiate 8934*h**2 + 133*h - 1613986 with respect to h. 17868*h + 133 Find the first derivative of 2215*t**4 - 4*t**3 - 7*t**2 + 136868 wrt t. 8860*t**3 - 12*t**2 - 14*t Find the first derivative of -71829*s**3 + 88683 wrt s. -215487*s**2 What is the second derivative of -50*a**3 - 7*a**2 - 19224*a wrt a? -300*a - 14 Find the first derivative of 2*s**3 - 16971*s**2 + 505281 wrt s. 6*s**2 - 33942*s What is the second derivative of 1650273*x**3 + 104859*x + 3? 9901638*x Find the third derivative of -4864*w**6 + 104*w**2 + 10*w. -583680*w**3 What is the derivative of -37203*l*y - 514834*l wrt y? -37203*l Find the second derivative of -r**3 - 77869*r**2 + r - 12730 wrt r. -6*r - 155738 Differentiate -138*t**4 + 3*t**2 - 83*t - 320537. -552*t**3 + 6*t - 83 What is the third derivative of 95439*q**3 + 60260*q**2 - 1 wrt q? 572634 What is the third derivative of 3*g**6 - 90*g**5 - 33*g**3*o - 4398*g**2 - o wrt g? 360*g**3 - 5400*g**2 - 198*o Find the first derivative of r**4 + r**2 + 204*r - 1522269 wrt r. 4*r**3 + 2*r + 204 What is the second derivative of -g**5*t + 5037*g**5 + 5473*g*t - 4 wrt g? -20*g**3*t + 100740*g**3 Find the third derivative of 935263*x**3 + 1001899*x**2. 5611578 What is the third derivative of 2136883*f**3 + 139*f**2 - f + 173 wrt f? 12821298 What is the third derivative of -2843587*s**3 + 1686*s**2 + 240*s + 2 wrt s? -17061522 Find the second derivative of v**5 + 17*v**4 + 6239*v**3 - 346425*v wrt v. 20*v**3 + 204*v**2 + 37434*v What is the first derivative of -49*p**3 + 274*p - 510548? -147*p**2 + 274 What is the derivative of 4*v**2*w**2 + 39*v**2*w - v*w**2 - v + 3*w**2 - 254*w - 1 wrt v? 8*v*w**2 + 78*v*w - w**2 - 1 Differentiate 25*a*d*g - 3*a*d + a*g*i + 1842*a*i - 316*d*i - 6*g*i wrt d. 25*a*g - 3*a - 316*i Differentiate -32*d**3 + 142*d + 19969 with respect to d. -96*d**2 + 142 Find the third derivative of 2*a**5 + 6*a**4 - 607*a**3 + a**2 - 838*a - 3 wrt a. 120*a**2 + 144*a - 3642 Differentiate 410658*n**2 - 218580 wrt n. 821316*n What is the second derivative of 2536690*a**4 + 539*a + 519? 30440280*a**2 Find the second derivative of 4*a*s**5 - 12350*a*s**3 - 180*a*s + 55*a wrt s. 80*a*s**3 - 74100*a*s What is the third derivative of -90*m**6 - 124*m**3 + 4964920*m**2? -10800*m**3 - 744 Find the second derivative of -693*f**2*p**2 - 10*f**2*p + f*p**2 + 15597*p**2 wrt f. -1386*p**2 - 20*p Find the third derivative of 95900*u**3 + 43*u**2 + 2405*u + 2. 575400 Find the second derivative of -1064*n**2*o**3*x - 16*n**2*o**2*x - 8*n*o**3 - n*o**2*x + 893*o**3 wrt n. -2128*o**3*x - 32*o**2*x Find the second derivative of 63170*h**2*x**3 + h**2*x + 3*h*x**3 + 7*h*x**2 - 9*h + 86*x**3 + 1 wrt h. 126340*x**3 + 2*x Differentiate -4*y**2 - 2979*y + 32370 with respect to y. -8*y - 2979 Find the third derivative of -114753*o**3 + 4*o**2 - o - 5291 wrt o. -688518 What is the first derivative of 206*j*r**2 - 3*j*r + 6*j - 297468*r**2 wrt j? 206*r**2 - 3*r + 6 Find the third derivative of -220765*b**4 + b**3 - 3336*b**2 - 22 wrt b. -5298360*b + 6 What is the third derivative of -113*i*t**4 - 34*i*t**3 + 4*i*t**2 - i*t + 8*i + 195*t**2 wrt t? -2712*i*t - 204*i What is the third derivative of -2014563*x**3 + x**2 - 4008*x + 40 wrt x? -12087378 What is the derivative of 1920477*x**3 + 857574 wrt x? 5761431*x**2 Find the second derivative of -10*g*l**3*n**2 - g*l*n**2 - 5*g*l*n - 7*l**3 + 203*l**2*n + 3*l*n**2 + 8*n**2 wrt n. -20*g*l**3 - 2*g*l + 6*l + 16 Find the second derivative of 503*y**4 + y**3 + y + 903. 6036*y**2 + 6*y Differentiate 20*q**4 - 219*q**3 - 29808. 80*q**3 - 657*q**2 What is the third derivative of 37*c**2*g**3 - 104*c**2*g**2 + 3*c**2 + 39*c*g**3 + 5*c*g**2 - g**2 wrt g? 222*c**2 + 234*c What is the second derivative of 2286851*u**3 - 2694179*u? 13721106*u What is the second derivative of 761*o**3 + 12*o**2 - 21456*o? 4566*o + 24 What is the third derivative of 10*i*x**3*y**3 + 402*i*x**3*y**2 + 5*i*x**3 + 3*i*x**2 - 6*i*x*y**2 - 1493*i*y + 9*x**2*y**3 wrt x? 60*i*y**3 + 2412*i*y**2 + 30*i Find the second derivative of -g**4 + 1977*g**2 - 24100*g wrt g. -12*g**2 + 3954 Find the second derivative of 952*b**3*y + 35*b**2*p**2*y + 7170*b*p**2*y - 2*b*p*y + 41*b*y wrt b. 5712*b*y + 70*p**2*y Differentiate -2*c*i*q*u + 6*c*i*u + 2*c*i + 1599*c*q - 395*c - 43*i*q*u + 2*i*u - 71*i + 1 wrt q. -2*c*i*u + 1599*c - 43*i*u What is the second derivative of 24*w**4 - 3008*w**3 - 5*w - 2175 wrt w? 288*w**2 - 18048*w What is the second derivative of 65924*r**2 - 290*r + 87 wrt r? 131848 Find the first derivative of -446788*x**2 + 12975 wrt x. -893576*x Find the first derivative of 19*i**3*x**2 - 104*i**3 - 2*x**2 - 28761 wrt i. 57*i**2*x**2 - 312*i**2 What is the second derivative of -551*b**3 - 25*b**2 + 19629*b + 2? -3306*b - 50 Differentiate -3*b**4*y + 2*b**4 + 637*b**2*y - 2*y + 4752 with respect to b. -12*b**3*y + 8*b**3 + 1274*b*y What is the third derivative of 371560*m**6 + 3*m**2 + 2*m + 2370 wrt m? 44587200*m**3 What is the first derivative of 7*h**2 + 1750*h - 14199 wrt h? 14*h + 1750 What is the third derivative of 24*g**4 + 328*g**3 - 99903*g**2? 576*g + 1968 Find the second derivative of -2*i**4 - 18*i**2*k*t - 96*i**2*t + 2*i**2 - i*k*t - 353*i*t + 2*i - 20*k wrt i. -24*i**2 - 36*k*t - 192*t + 4 Find the second derivative of r**4 + 5580*r**2 + 21824*r wrt r. 12*r**2 + 11160 Find the second derivative of 1010*p**2*q + 28*p**2 - 145*p*q + 121*q + 2 wrt p. 2020*q + 56 Find the second derivative of -23*i**2*r**2 + 3*i**2*r - i**2 - 2*i*r**2 + 4*i*r - 24*i + 15*r**2 - 51 wrt r. -46*i**2 - 4*i + 30 What is the third derivative of -u**4 - 16320*u**3 + 97*u**2 + 47 wrt u? -24*u - 97920 What is the third derivative of 64496*s**3*x**3 - 146*s**3*x**2 + 278*s**2*x**2 - s wrt x? 386976*s**3 Find the third derivative of -3*c**4 + 3779*c**3 + 3*c**2 - 4*c - 1156. -72*c + 22674 What is the derivative of 38455*v - 5740? 38455 What is the derivative of 58*j**4 - 540*j**2 - 54073 wrt j? 232*j**3 - 1080*j What is the first derivative of 66*h*n - 6583*h + 8*n**4 wrt n? 66*h + 32*n**3 Find the second derivative of -673*o*s**2 - 68*o*s - 270*o + 64*s**2 - 1 wrt s. -1346*o + 128 Find the second derivative of -43*a**5 - 68*a**4 + 40*a**3 + 42350*a - 2. -860*a**3 - 816*a**2 + 240*a What is the first derivative of -40782*c**3 - 131268? -122346*c**2 What is the second derivative of 8*r**3*x**2 - 18543*r**3*x - 2*r*x**2 - 50*r*x - 2*r + 36*x - 4 wrt r? 48*r*x**2 - 111258*r*x Differentiate -1097*q*s**2 - 110*q*s - 14*s**2 - 21*s - 167 wrt q. -1097*s**2 - 110*s Find the third derivative of 23554*j*m**3 + j*m**2 - 2*m**3 + 115*m**2 - 2 wrt m. 141324*j - 12 Find the second derivative of y**5 + 2187*y**3 + 71094*y wrt y. 20*y**3 + 13122*y What is the second derivative of 28*b**2*l*s*t + 5*b**2*l*s - 2*b**2*l*t + 17*b*l*s + 2*b*l + 36*l*s*t - l*t + t wrt b? 56*l*s*t + 10*l*s - 4*l*t What is the second derivative of 92552*f**2*p**4 - 9*f**2*p**2 - 99198*f**2 - 3*p wrt p? 1110624*f**2*p**2 - 18*f**2 What is the second derivative of 5132491*t**2 - 5244822*t? 10264982 What is the third derivative of -6*h**3*u**5 - 6726*h**3*u**4 + 116*h**3*u**2 - 3*h**3*u - h**2*u**2 - 34*h*u**2 wrt u? -360*h**3*u**2 - 161424*h**3*u What is the third derivative of -139405*k**3 + 930877*k**2? -836430 What is the third derivative of -3860*k**2*s**3 - 2*k**2*s**2 + 134*k**2*s + 296*k**2 + 5*s**6 wrt s? -23160*k**2 + 600*s**3 Find the second derivative of 4*g**2*s**3 + 1711*g**2*s**2 + 2*g**2*s - 98928*g + 2*s**3 wrt g. 8*s**3 + 3422*s**2 + 4*s What is the first derivative of -c**2*m - 60268*c*t - 66*m*t - 3*m + 15*t wrt c? -2*c*m - 60268*t Find the first derivative of -12456*x**2 + 16252. -24912*x Find the second derivative of -p**5 - 134516*p**4*s - 203968*p*s + 2*p wrt p. -20*p**3 - 1614192*p**2*s What is the second derivative of 7*w**3 + 50402*w**2 - 982849*w? 42*w + 100804 What is the third derivative of -8
{ "pile_set_name": "DM Mathematics" }
replacement from nfiifniieiefmefnmee. What is prob of sequence nen? 5/969 Three letters picked without replacement from {u: 3, l: 2, y: 2, b: 4}. What is prob of sequence ylb? 8/495 Three letters picked without replacement from oobbb. Give prob of sequence bbo. 1/5 Two letters picked without replacement from {f: 2, m: 10, y: 1, t: 1, a: 2}. What is prob of sequence mt? 1/24 Calculate prob of sequence rrd when three letters picked without replacement from bdobzrbroozooo. 1/1092 Calculate prob of sequence ttk when three letters picked without replacement from ttttttktkktkkt. 15/91 Calculate prob of sequence gckk when four letters picked without replacement from khhgcahgqqkc. 1/1485 What is prob of sequence wb when two letters picked without replacement from ggxbwmwmjgwmbjm? 1/35 Two letters picked without replacement from ekkeehltthtkmhm. What is prob of sequence tm? 1/35 What is prob of sequence qzl when three letters picked without replacement from {q: 2, n: 2, l: 1, z: 1}? 1/60 Calculate prob of sequence pbob when four letters picked without replacement from {d: 1, b: 4, o: 2, p: 4}. 2/165 Three letters picked without replacement from gaglabagaaaamlffal. What is prob of sequence lgg? 1/272 Calculate prob of sequence uunr when four letters picked without replacement from {r: 2, n: 4, u: 4}. 2/105 Calculate prob of sequence wu when two letters picked without replacement from {u: 2, i: 1, q: 1, w: 2}. 2/15 Three letters picked without replacement from {r: 3, c: 2}. What is prob of sequence rrc? 1/5 Four letters picked without replacement from bzgbb. Give prob of sequence bbzg. 1/20 Three letters picked without replacement from aqqrgrggggqrrgrqqga. What is prob of sequence rqa? 25/2907 Four letters picked without replacement from oeoedgxoxogoj. What is prob of sequence xgej? 1/2145 Two letters picked without replacement from yjnlllnnjjnnnnjjln. Give prob of sequence jy. 5/306 Calculate prob of sequence vvjz when four letters picked without replacement from {j: 2, z: 4, v: 8}. 8/429 Three letters picked without replacement from ejjjpjrjjejjjddrhj. What is prob of sequence rep? 1/1224 Two letters picked without replacement from ucvzztcau. Give prob of sequence za. 1/36 Two letters picked without replacement from rrhorhhzrrhzoorrrrh. Give prob of sequence oo. 1/57 Four letters picked without replacement from fzzzqqfzzqq. What is prob of sequence zzfz? 1/66 Four letters picked without replacement from {n: 5, p: 1, z: 1, s: 1, d: 1, h: 4}. What is prob of sequence zpdn? 1/3432 What is prob of sequence zzk when three letters picked without replacement from {k: 12, z: 3}? 12/455 Calculate prob of sequence yyf when three letters picked without replacement from {f: 2, y: 6}. 5/28 Calculate prob of sequence nz when two letters picked without replacement from iwjjzznnnn. 4/45 Four letters picked without replacement from {o: 6, e: 13}. Give prob of sequence oeoo. 65/3876 What is prob of sequence ov when two letters picked without replacement from vovtvopvpvmvpoot? 1/10 Calculate prob of sequence uvxu when four letters picked without replacement from {x: 5, l: 1, v: 5, h: 3, u: 4}. 5/1224 Two letters picked without replacement from {n: 7, t: 1, x: 2, v: 2}. Give prob of sequence tv. 1/66 Calculate prob of sequence kky when three letters picked without replacement from {v: 1, e: 1, k: 3, y: 3, g: 2}. 1/40 Two letters picked without replacement from ahpldpd. What is prob of sequence ad? 1/21 What is prob of sequence wx when two letters picked without replacement from {n: 1, w: 1, g: 1, x: 2, i: 2, z: 1}? 1/28 What is prob of sequence nl when two letters picked without replacement from llinliixninillin? 1/12 Three letters picked without replacement from {n: 17, d: 1}. Give prob of sequence nnn. 5/6 Four letters picked without replacement from cwwcw. Give prob of sequence ccww. 1/10 Two letters picked without replacement from yfiyjjbyyfjiifjsy. Give prob of sequence ys. 5/272 Calculate prob of sequence sds when three letters picked without replacement from ssddssssdssdsdss. 55/336 Four letters picked without replacement from bbebpeskbeb. What is prob of sequence ekeb? 1/264 Three letters picked without replacement from lcllcbbexeecxlllllec. Give prob of sequence llb. 14/855 What is prob of sequence ymym when four letters picked without replacement from {y: 7, m: 2}? 1/36 Calculate prob of sequence oooo when four letters picked without replacement from ooooototo. 5/18 What is prob of sequence zz when two letters picked without replacement from ssezzhyr? 1/28 What is prob of sequence gt when two letters picked without replacement from gwwyyvtywyg? 1/55 What is prob of sequence nh when two letters picked without replacement from vydwhhn? 1/21 Three letters picked without replacement from egggggggggeegggggg. Give prob of sequence gee. 5/272 What is prob of sequence bs when two letters picked without replacement from ssbxxxxsbssb? 5/44 Three letters picked without replacement from zzzzhzhz. What is prob of sequence zzh? 5/28 Three letters picked without replacement from {h: 2, f: 3, a: 3}. Give prob of sequence faf. 3/56 What is prob of sequence gv when two letters picked without replacement from {v: 2, g: 1, c: 1}? 1/6 Four letters picked without replacement from {f: 6, m: 2, x: 4}. Give prob of sequence xmfx. 2/165 What is prob of sequence ttgt when four letters picked without replacement from {t: 7, g: 5}? 35/396 What is prob of sequence dh when two letters picked without replacement from dhbhdl? 2/15 Calculate prob of sequence qncs when four letters picked without replacement from ssususqqnqcss. 3/2860 What is prob of sequence rrsr when four letters picked without replacement from {s: 2, r: 11}? 3/26 Three letters picked without replacement from rdmrzdzge. What is prob of sequence red? 1/126 Three letters picked without replacement from {r: 1, o: 1, u: 2}. What is prob of sequence ruo? 1/12 Two letters picked without replacement from osssllssassssloa. What is prob of sequence so? 3/40 What is prob of sequence wr when two letters picked without replacement from {w: 5, r: 3, s: 1}? 5/24 Two letters picked without replacement from csucsbcuccscu. What is prob of sequence uc? 3/26 Calculate prob of sequence dac when three letters picked without replacement from {c: 1, a: 1, t: 5, h: 5, d: 8}. 1/855 Three letters picked without replacement from htttttiiuhuaahiut. What is prob of sequence ahi? 3/680 Three letters picked without replacement from mmmmmmmmmmdm. Give prob of sequence mmm. 3/4 Three letters picked without replacement from {k: 8, g: 3, w: 1, u: 3, c: 2, v: 1}. What is prob of sequence ugc? 1/272 Calculate prob of sequence wg when two letters picked without replacement from {x: 13, g: 4, w: 3}. 3/95 Calculate prob of sequence pxp when three letters picked without replacement from wyppaxe. 1/105 Calculate prob of sequence hq when two letters picked without replacement from hjhjjjdjjqdjmj. 1/91 Three letters picked without replacement from {q: 1, f: 1, s: 1, o: 2}. Give prob of sequence foq. 1/30 Calculate prob of sequence llo when three letters picked without replacement from lllsgossgsl. 2/165 Calculate prob of sequence us when two letters picked without replacement from ebbkswus. 1/28 Two letters picked without replacement from {d: 1, o: 1, g: 7, n: 8}. What is prob of sequence do? 1/272 Calculate prob of sequence wtld when four letters picked without replacement from {l: 2, w: 2, t: 1, d: 4}. 1/189 What is prob of sequence ey when two letters picked without replacement from {e: 2, y: 1, d: 2, l: 1, a: 2, f: 1}? 1/36 What is prob of sequence fe when two letters picked without replacement from {f: 1, e: 4, x: 1, m: 1, j: 1, q: 5}? 1/39 What is prob of sequence vf when two letters picked without replacement from {v: 1, b: 1, f: 1}? 1/6 Two letters picked without replacement from dddfedeeedffefd. What is prob of sequence ff? 2/35 Three letters picked without replacement from {i: 10, w: 4, h: 2}. What is prob of sequence hhi? 1/168 Calculate prob of sequence hh when two letters picked without replacement from {h: 3, m: 5}. 3/28 Three letters picked without replacement from {d: 1, c: 3, z: 5, y: 1}. What is prob of sequence ycc? 1/120 Calculate prob of sequen
{ "pile_set_name": "DM Mathematics" }
the units digit of s(-3)? 6 Suppose 11*l = -7*l + 486. What is the units digit of l? 7 Let x(b) = -b**3 + 9*b**2 + 14*b - 9. What is the tens digit of x(9)? 1 Let j = 42 + -13. What is the tens digit of 3/(3/j) - -1? 3 Suppose -4*w = 5*k + 3, 2*w + 3 = 5*k + 3*w. Let d = 10 - 7. Suppose -k = d*p - 7. What is the units digit of p? 2 Let d = 7 + 0. Let h(n) = n + 5. What is the tens digit of h(d)? 1 Suppose -b + 2*i + 3*i = 59, 5*i = -5*b - 145. Let w = b + 56. What is the tens digit of w? 2 Let a(l) = 0*l**2 + 4 + 1 - 3 - l**2 - 5*l. Let s be a(-5). Suppose -7 = -s*k + 15. What is the tens digit of k? 1 Suppose 2 = 3*h - 61. What is the tens digit of h? 2 Suppose -b = b. Suppose b = o - 1 - 3. Suppose y = 5*y - o. What is the units digit of y? 1 Suppose 3*n - 6*n + 15 = 0, 2*n = 5*g - 165. What is the units digit of g? 5 Let y(a) = -a**3 - 5*a**2 - 5*a + 1. Suppose -q - 7 = g, 3*g = -g + 4*q - 4. What is the units digit of y(g)? 5 Let o(v) = -2*v**3 + 2*v**2 + 3*v - 2. Let c be o(3). Let k = 59 + c. What is the units digit of k? 0 Let a = -6 + 11. What is the units digit of a? 5 Let o be 60/(-27) + 2/9. Let a be 0*((-6)/(-3) + -1). What is the units digit of 9 - (o + 1 + a)? 0 Suppose -49 - 7 = 4*a. What is the units digit of (15/(-6))/(1/a)? 5 Suppose -n + 5 = -0*n. Suppose o - 2 - n = 0. Suppose z + o = h + 4*z, h + 4*z = 8. What is the units digit of h? 4 Let w(o) be the second derivative of o**3/2 + 7*o**2 - o. What is the units digit of w(8)? 8 Suppose -q - q + 2*o = -18, -2*q + 6 = 2*o. Let s = q - -4. What is the units digit of s? 0 Let o(p) be the first derivative of -19*p**4/4 + p**2/2 - 1. Let q be o(-1). Suppose -b - b + q = 0. What is the units digit of b? 9 Suppose -2*z + 48 = -3*g, 0 = -2*z - 4*g + 20. Suppose 5*m = -3*h - 65, -3*h - 2*m - z - 53 = 0. What is the tens digit of 154/10 - (-10)/h? 1 Suppose -p + 19 = 2*i, -3*p - 20 = -5*p + 5*i. Let z = -6 - -3. Let q = z + p. What is the tens digit of q? 1 Suppose 9 = m + 2*c, 6*m + 3*c = 3*m + 30. What is the units digit of m? 1 Suppose 3*q + 16 = 103. What is the tens digit of q? 2 Let x be 2/(-4)*7*-2. Suppose 2*w = x*w - 50. What is the tens digit of w? 1 Let t = -15 - -21. Suppose 6 = 2*i - t. What is the units digit of i? 6 Suppose -80 = 5*b - 10*b. What is the tens digit of b? 1 Let u(q) = 9*q - 1. Suppose a + a - 38 = 0. Suppose 4*z + 4 = -2*b, z + a = -0*z - 5*b. What is the units digit of u(z)? 8 Suppose -5*s + 25 = 5. Suppose -3*i = -6*t + 2*t - 55, s = -t. What is the tens digit of i? 1 Let p = 16 - 16. Let s be (2 + 2)/(0 + 2). Suppose p = a - 1 - s. What is the units digit of a? 3 Let l(f) = 22*f - 11. What is the tens digit of l(5)? 9 Suppose -4*t = -7*j + 2*j + 625, 5*j - 620 = 3*t. What is the hundreds digit of j? 1 Suppose 0 = -2*j - j + 195. What is the units digit of j? 5 Let r be 1/(-5) + 486/30. Let m = 0 + r. What is the tens digit of m? 1 What is the units digit of (-2)/(16/20 + 604/(-730))? 3 What is the units digit of (-68)/(-12) - 3/(-9)? 6 What is the tens digit of 3 - 763/(-4) - 5/(-20)? 9 Let d(a) = -a**2 + 7*a - 2. Let v be d(6). Suppose -v*q + 51 = -13. What is the tens digit of q? 1 Let o(p) = -p**3 + 7*p**2 + 8*p - 7. What is the units digit of o(7)? 9 Suppose -m = 2*m - 6. Suppose 0*i - 2*v - 6 = i, -m*i + 23 = -3*v. What is the units digit of i? 4 What is the tens digit of 4/(-10) + 1491/15? 9 Let u = -3 - -17. What is the tens digit of u? 1 Let g(m) = -m + 6. Let r = -2 + 2. Suppose 7 = 3*p - r*p - 4*s, 6 = 3*s. What is the units digit of g(p)? 1 What is the units digit of 215/2 - 7/14? 7 Suppose -2 = -t - 0*t. Suppose 2*p - 10 = t. What is the units digit of p? 6 Let z(n) = 3*n - 25. Let r be z(11). What is the tens digit of r/10*(10 + 20)? 2 Suppose 7*o = 2*o + z + 27, 5*z - 33 = -3*o. What is the tens digit of 50/4 - (-3)/o? 1 Suppose 16 = 3*o + x, 2*x + 0*x - 2 = 0. Suppose 24*d - 18 = 22*d. Let n = d - o. What is the units digit of n? 4 Suppose 5*t - 138 = 92. What is the tens digit of t? 4 Let g = 19 + -9. Suppose 3*u - 14 = f + 5*u, -f + 4*u = -g. What is the units digit of ((-2)/f*3)/1? 1 Let a(h) = -5*h + 5. Let t(c) = -9*c + 9. Let n(p) = 7*a(p) - 4*t(p). Let r be n(5). Suppose -2*l = -r - 2. What is the units digit of l? 3 Suppose -2*b = -4*b - 10. Let n(o) = -o**2 - 7*o - 5. What is the units digit of n(b)? 5 Let w(y) = y - 5. Suppose 0 = 3*r + 2*t - 29, 3*r - t = 6*r - 25. Let s be w(r). Suppose s*m - 6 + 0 = 0, -2*d = 5*m - 57. What is the units digit of d? 1 Suppose -4*y + 2*n + 21 = -43, y + 4*n + 2 = 0. Suppose c + 11 = y. What is the units digit of c? 3 Suppose -4*p + 43 = 3. What is the units digit of p? 0 Let g be (-8)/2 + 1 + 2. What is the units digit of 15 - g - (-5 + 4)? 7 Suppose 8 = 3*z + 5*y, z = -y + 2*y. What is the units digit of z? 1 Let c be 21 + -3 - (-9)/(-3). Suppose -3*d = -v + c, 0 = -3*v - 7*d + 4*d + 69. What is the units digit of v? 1 Let f(q) = q + 9. Let s be f(-9). Let p = s + 0. What is the units digit of 2*(6/3 - p)? 4 Let y(j) be the first derivative of 2 + 8*j - 1/2*j**2. What is the units digit of y(4)? 4 Let x(q) = q**3 - 3*q**2 + 3*q - 2. Let i be x(2). Let u be (-2 - -3)/((-1)/(-4)). Suppose p - u = -i*p. What is the units digit of p? 4 What is the tens digit of 22/(-99) - 7242/(-27)? 6 Suppose 8*c - 4605 = -7*c. What is the hundreds digit of c? 3 Let z(j) = -4*j + 130. What is the hundreds digit of z(0)? 1 Let p(s) = s**3 + 8*s**2 - 9*s + 5. Let x be p(-8). Let n = x - 32. What is the units digit of n? 5 Let a(k) = k**2 - k + 2 - 2*k - 2*k. Let g be a(3). Let z = g + 7. What is the units digit of z? 3 Let u(v) be the second derivative of v**3/3 - 3*v**2/2 - 2*v. What is the units digit of u(5)? 7 Suppose -5*w + 71 = 4*h, -3 - 7 = 2*w. Suppose -h = -a - 0*a. What is the units digit of a? 4 Suppose 5*j = 7 + 3. Suppose 0 = 4*y + 4*f - 8, -j*y + 10 = 3*f + 2*f. Suppose y = i + 3*i - 20. What is the units digit of i? 5 Let m = 149 + 19. Suppose 3*z = 5*p - 86, -4*z - m = 3*p + p. Let i = -25 - z. What is the units digit of i? 2 Let r(j) = -2*j**3 - 4*j**2 + j - 3. Let y(o) = o**3 - o**2 + 1. Let k(d) = -r(d) - y(d). Let g = 1 + -6. What is the units digit of k(g)? 7 Let l = 749 + -529. What is the units digit of l? 0 Suppose -4*q + 3*q + 2*t + 12 = 0, 0 = 2*q + 5*t - 6. Suppose 2*p = -2*p + q. What is the units digit of p? 2 Let q(t) = -1 + 4 - 3 - t. What is the units digit of q(-1)? 1 Suppose 0 = -2*k + 18 - 2. What is the units digit of k? 8 Let j(o) = 24*o**3 + o. Let y be j(1). Let z = y - 6. Let f = z - 13. What is the units digit of f? 6 Let u = -243 - -356. What is the tens digit of u? 1 What is the tens digit of 3740/99 + (-2)/(-9)? 3 What is the tens digit of (-56)/(2/(-6)*3)? 5 Let l = 8 + -3. Suppose 3*k - 5*h + 8 = k, l*k = -5*h + 50. What is the units digit of (-3)/k*0 + 2? 2 What is the units digit of ((-36)/(-8))/(5/70)? 3 Suppose -2*c - 3*r = -4*c + 7, 4*c = 4*r + 16. Let j = 16 + c. What is the units digit of j? 1 Suppose 0 = -2*c - 16 - 4. What is the tens digit of c/(-3)*9/3? 1 Let u be 3/3 + 0 + 1. Let l(x) = -2*x - u*x + 4 + 3*x. What is the units digit of l(0)? 4 Suppose -5*j + 8 = -17. Suppose 82 = j*g + 17. What is the units digit of g? 3 Suppose 3*q = 3*o - 24, -3*o = -4*q - 23 - 5. Let s be -3*(0 - (-2)/(-6)). Suppose -o*t = -y - 8, -5*t - s = -y - 12. What is the units digit of y? 4 Let o = -1 + 4. What is the units digit of o? 3 Let d be (-1)/(-1 - 4/(-6)). Suppose 0 = 4*k - 7*k + 6. Suppose -d*s - k*i = -33, -s - 15 = -3*s + i. What is the units digit of s? 9 Suppose -5 = 3*k - 5*c, 2*k - 5*c = -0*k. What is the units digit of 20/8*(-16)/k? 8 Let w = 5 + -1. Suppose -7*r = -w*r - 63. What is the units digit of r? 1 Suppose 3*b - 4*l - 128 = 0, -b + 57 - 1 = 2*l. What is the units digit of b? 8 Let z be (0 - 12)/(-1) + -2. Let a be (10/25)/(2/z). Suppose a*f - f - 4 = 0. What is the units digit of f? 4 Suppose 62 = 3*u - 10. Let h = u + -14. What is the tens digit of h? 1 Let n(b) = b**2 - 5*b + 1. Let l be n(5). Suppose -l = 3*m + 2*a, -5*m - 1 = 4*a - 0*a. What is the units digit of 2/(-2) - 2/m? 1 What is the units digit of (6/(-3))/((-1)/16)? 2 Suppose -2*v - 4*h + 2 = 0, 2 = -4*h + 2*h. Suppose -3*m - 9 = -5*w, 0 = v*m - 5*m + 4. Suppose -a + 30 = 2*a + t, 0 =
{ "pile_set_name": "DM Mathematics" }
of 6132, 12266, 18402, 24540? q**2 + 6131*q What is the n'th term of -744127, -1488255, -2232383, -2976511, -3720639, -4464767? -744128*n + 1 What is the n'th term of -8888, -17783, -26680, -35579, -44480, -53383, -62288? -n**2 - 8892*n + 5 What is the y'th term of 308, 1498, 3482, 6260, 9832, 14198? 397*y**2 - y - 88 What is the h'th term of 5227, 6099, 6971, 7843, 8715? 872*h + 4355 What is the a'th term of -208, -1040, -3300, -7702, -14960, -25788, -40900, -61010? -119*a**3 + a - 90 What is the p'th term of 23031, 23032, 23033, 23034, 23035, 23036? p + 23030 What is the y'th term of 2028, 10302, 32758, 76488, 148584? 1182*y**3 - y**2 + 3*y + 844 What is the g'th term of 35, 26, -5, -70, -181, -350, -589, -910? -2*g**3 + g**2 + 2*g + 34 What is the k'th term of -1976, -3942, -5904, -7862, -9816, -11766? 2*k**2 - 1972*k - 6 What is the i'th term of -806, -3741, -8634, -15479, -24270? i**3 - 985*i**2 + 13*i + 165 What is the h'th term of -91, -317, -693, -1225, -1919, -2781, -3817, -5033? -h**3 - 69*h**2 - 12*h - 9 What is the y'th term of 33, 174, 547, 1266, 2445, 4198, 6639? 19*y**3 + 2*y**2 + 2*y + 10 What is the v'th term of -36412, -72823, -109234, -145645, -182056, -218467? -36411*v - 1 What is the x'th term of 671, 662, 653, 644, 635, 626? -9*x + 680 What is the m'th term of -58, -126, -254, -442, -690? -30*m**2 + 22*m - 50 What is the z'th term of 21164, 42300, 63436? 21136*z + 28 What is the m'th term of -202, -696, -1486, -2572? -148*m**2 - 50*m - 4 What is the f'th term of -1382, -1380, -1380, -1382, -1386, -1392, -1400? -f**2 + 5*f - 1386 What is the l'th term of -2, -14, -4, 46, 154? 3*l**3 - 7*l**2 - 12*l + 14 What is the r'th term of -268, -112, 140, 482, 908, 1412? -r**3 + 54*r**2 + r - 322 What is the d'th term of -455, -517, -553, -563, -547, -505, -437? 13*d**2 - 101*d - 367 What is the q'th term of 9312, 9325, 9348, 9381? 5*q**2 - 2*q + 9309 What is the g'th term of -452, -860, -1252, -1622, -1964, -2272? g**3 + 2*g**2 - 421*g - 34 What is the z'th term of 1033, 4037, 9043, 16051, 25061? 1001*z**2 + z + 31 What is the v'th term of 367, 334, 313, 310, 331, 382, 469, 598? v**3 - 40*v + 406 What is the q'th term of -104, -87, -56, -11, 48, 121? 7*q**2 - 4*q - 107 What is the l'th term of -3864, -3825, -3786, -3747, -3708? 39*l - 3903 What is the a'th term of 341, 1453, 3335, 5987, 9409, 13601, 18563? 385*a**2 - 43*a - 1 What is the h'th term of 7015, 28065, 63151, 112273, 175431, 252625, 343855? 7018*h**2 - 4*h + 1 What is the q'th term of 2528477, 2528476, 2528475? -q + 2528478 What is the r'th term of -396, -364, -332? 32*r - 428 What is the b'th term of -1059, -8507, -28737, -68139, -133103, -230019, -365277? -1065*b**3 - b**2 + 10*b - 3 What is the m'th term of -264, -268, -262, -240, -196, -124, -18, 128? m**3 - m**2 - 8*m - 256 What is the k'th term of 129, 195, 199, 141, 21? -31*k**2 + 159*k + 1 What is the u'th term of -641, -5248, -17751, -42098, -82237, -142116, -225683, -336886? -658*u**3 - u + 18 What is the n'th term of 46, 109, 150, 163, 142, 81, -26? -n**3 - 5*n**2 + 85*n - 33 What is the o'th term of -250, -465, -658, -829, -978, -1105, -1210? 11*o**2 - 248*o - 13 What is the o'th term of -348884, -697773, -1046662, -1395551, -1744440, -2093329? -348889*o + 5 What is the t'th term of -1309, -1332, -1355, -1378, -1401? -23*t - 1286 What is the j'th term of -244, -1298, -4188, -9832, -19148, -33054, -52468, -78308? -153*j**3 + 17*j - 108 What is the m'th term of -314739, -629480, -944221? -314741*m + 2 What is the b'th term of 242044, 242043, 242042, 242041? -b + 242045 What is the j'th term of 39218, 39215, 39212, 39209, 39206, 39203? -3*j + 39221 What is the h'th term of -26314, -52630, -78946, -105262? -26316*h + 2 What is the g'th term of -90, -246, -402? -156*g + 66 What is the l'th term of 57, 194, 447, 822, 1325, 1962, 2739, 3662? l**3 + 52*l**2 - 26*l + 30 What is the n'th term of 540647, 2162570, 4865769, 8650238, 13515971, 19462962? -n**3 + 540644*n**2 - 2*n + 6 What is the x'th term of 59, 133, 231, 365, 547, 789? 2*x**3 + 60*x - 3 What is the a'th term of -179, -320, -415, -464, -467? 23*a**2 - 210*a + 8 What is the m'th term of 1086, 1882, 2678, 3474, 4270, 5066? 796*m + 290 What is the v'th term of 84123, 84175, 84227, 84279? 52*v + 84071 What is the w'th term of -518, -515, -492, -437, -338, -183, 40? 2*w**3 - 2*w**2 - 5*w - 513 What is the w'th term of 561, 673, 785, 897, 1009, 1121? 112*w + 449 What is the f'th term of 186, 424, 694, 990, 1306, 1636, 1974, 2314? -f**3 + 22*f**2 + 179*f - 14 What is the c'th term of -1185, -2520, -4745, -7860, -11865, -16760? -445*c**2 - 740 What is the d'th term of -371, -720, -1073, -1430, -1791, -2156, -2525? -2*d**2 - 343*d - 26 What is the p'th term of -302, -2475, -8400, -19961, -39042? -314*p**3 + 8*p**2 + p + 3 What is the s'th term of -24749, -24748, -24761, -24794, -24853, -24944, -25073? -s**3 - s**2 + 11*s - 24758 What is the r'th term of 107, 169, 295, 503, 811? 3*r**3 + 14*r**2 - r + 91 What is the i'th term of -11780, -23568, -35356, -47144, -58932? -11788*i + 8 What is the r'th term of -780, -3106, -6982, -12408? -775*r**2 - r - 4 What is the q'th term of 343415, 343414, 343413, 343412, 343411? -q + 343416 What is the w'th term of 13620, 13617, 13614? -3*w + 13623 What is the x'th term of 113, 837, 2797, 6611, 12897, 22273, 35357? 103*x**3 + 3*x + 7 What is the a'th term of 23773, 23769, 23767, 23767, 23769, 23773? a**2 - 7*a + 23779 What is the p'th term of 914, 1834, 2748, 3656? -3*p**2 + 929*p - 12 What is the t'th term of -62, -23, 70, 241, 514? 4*t**3 + 3*t**2 + 2*t - 71 What is the y'th term of 18802, 18883, 19018, 19207, 19450? 27*y**2 + 18775 What is the m'th term of -261, -300, -365, -456, -573, -716, -885? -13*m**2 - 248 What is the a'th term of -15153, -15138, -15099, -15024, -14901, -14718, -14463, -14124? 2*a**3 + a - 15156 What is the c'th term of -5733, -11469, -17205? -5736*c + 3 What is the w'th term of 677, 1515, 2333, 3119, 3861? -2*w**3 + 2*w**2 + 846*w - 169 What is the g'th term of 864, 1625, 2390, 3159, 3932, 4709? 2*g**2 + 755*g + 107 What is the s'th term of 23867, 23869, 23871, 23873, 23875? 2*s + 23865 What is the b'th term of 2204, 2194, 2170, 2126, 2056, 1954? -b**3 - b**2 + 2206 What is the q'th term of -25, -47, -81, -127, -185? -6*q**2 - 4*q - 15 What is the p'th term of 85339, 170680, 256021, 341362, 426703, 512044? 85341*p - 2 What is the h'th term of -4537, -4538, -4541, -4546? -h**2 + 2*h - 4538 What is the k'th term of -346, -1360, -3050, -5416? -338*k**2 - 8 What is the b'th term of -646648, -646646, -646644, -646642, -646640? 2*b - 646650 What is the r'th term of 40014, 40013, 40012? -r + 40015 What is the f'th term of 5294, 21202, 47718, 84842, 132574? 5304*f**2 - 4*f - 6 What is the w'th term of 93067, 93069, 93071? 2*w + 93065 What is the y'th term of -39466, -157796, -355014, -631120, -986114, -1419996, -1932766? -39444*y**2 + 2*y - 24 What is the g'th term of 166, 366, 608, 898, 1242, 1646? g**3 + 15*g**2 + 148*g + 2 What is the n'th term of -17160, -17141, -17086, -16977, -16796, -16525, -16146, -15641? 3*n**3 - 2*n - 17161 What is the r'th term of -3377, -3396, -3415? -19*r - 3358 What is the n'th term of 829, 812, 785, 748, 701? -5*n**2 - 2*n + 836 What is the g'th term of 4708, 4681, 4652, 4621, 4588, 4553? -g**2 - 24*g + 4733 What is the s'th term of -3791, -3847, -3931, -4037, -4159, -4291? s**3 - 20*s**2 - 3*s - 3769 What is the s'th term of -265, -536, -817, -1108, -1409, -1720, -2041? -5*s**2 - 256*s - 4 What is the k'th term of -8107, -8120, -8133, -8146, -8159, -8172? -13*k - 8094 What is the j'th term of -2894, -2897, -2894, -2879, -2846? j**3 - 3*j**2 - j - 2891 What is the p'th term of 266, 380, 686, 1280, 2258? 16*p**3 + 2*p + 248 What is the d'th term of -52491, -52488, -52481, -52470, -52455, -52436, -52413? 2*d**2 - 3*d - 52490 What is the h'th term of -20618, -20705, -20800, -20909, -21038, -21193? -h**3 + 2*h**2 - 86*h - 20533 What is the l'th term of -22983, -45979, -68979, -91983, -114991, -138003, -161019? -2*l**2 - 22990*l + 9 What is the s'th term of 431, 931, 1765, 2933, 4435, 6271? 167*s**2 - s + 265 What is the d'th term of -4827, -9688, -14547, -19404, -24259, -29112? d**
{ "pile_set_name": "DM Mathematics" }
nd. 2390000 What is -10.835507 rounded to 2 dps? -10.84 What is 1021.8911 rounded to 0 dps? 1022 What is -15.11079 rounded to 1 decimal place? -15.1 What is 490.64906 rounded to the nearest integer? 491 Round 168828 to the nearest one thousand. 169000 What is -0.000017956 rounded to 5 decimal places? -0.00002 Round 221373.91 to the nearest 1000. 221000 What is 0.1071151 rounded to three dps? 0.107 What is -325701 rounded to the nearest 1000? -326000 Round 0.000752185 to five decimal places. 0.00075 What is -38.004145 rounded to 1 dp? -38 What is -0.000547382 rounded to five dps? -0.00055 What is -0.00056426 rounded to 6 decimal places? -0.000564 Round 1448582.16 to the nearest 100000. 1400000 Round 0.00047707 to four decimal places. 0.0005 What is 421.067 rounded to the nearest 100? 400 What is 1.6145591 rounded to 0 decimal places? 2 What is -0.007368197 rounded to five decimal places? -0.00737 Round 21.714342 to 0 decimal places. 22 What is -0.004174558 rounded to 5 dps? -0.00417 Round 16.55989 to the nearest integer. 17 What is -6.85054 rounded to zero dps? -7 What is -0.00292721 rounded to 6 dps? -0.002927 What is 13884500 rounded to the nearest 100000? 13900000 What is -4635.037 rounded to the nearest integer? -4635 Round 0.00000015593 to 7 dps. 0.0000002 What is -1702.946 rounded to zero decimal places? -1703 What is -16858.13 rounded to the nearest 1000? -17000 Round -5.19495 to one dp. -5.2 Round -0.000004592691 to 6 dps. -0.000005 What is -54228.23 rounded to the nearest one thousand? -54000 Round -0.4716717 to 3 decimal places. -0.472 Round 0.000097138 to four dps. 0.0001 Round -24967.77 to the nearest 100. -25000 Round 0.0006397925 to 3 decimal places. 0.001 Round -96018.4 to the nearest ten thousand. -100000 Round -19.39177 to one decimal place. -19.4 What is -0.2114779 rounded to 3 dps? -0.211 Round -50371950 to the nearest 10000. -50370000 Round 4081.66 to the nearest one hundred. 4100 What is -0.03293263 rounded to 5 decimal places? -0.03293 What is -69502 rounded to the nearest 10000? -70000 What is -1172.005 rounded to the nearest one hundred? -1200 What is -7878.63 rounded to the nearest integer? -7879 Round -9.5938 to the nearest integer. -10 Round -50.28523 to one decimal place. -50.3 Round -274516.7 to the nearest 100000. -300000 What is 33407000 rounded to the nearest 100000? 33400000 What is -1101260 rounded to the nearest 1000000? -1000000 What is -59527.81 rounded to the nearest 10000? -60000 Round 0.000936457 to four dps. 0.0009 Round -7.41387 to 0 dps. -7 What is 0.0004713755 rounded to 4 decimal places? 0.0005 What is 0.32933095 rounded to two dps? 0.33 What is 0.5455382 rounded to four dps? 0.5455 Round 17.4508 to the nearest integer. 17 What is 14885.6 rounded to the nearest 10? 14890 Round 24395970 to the nearest one hundred thousand. 24400000 Round -9920.05 to the nearest one thousand. -10000 Round 2092660 to the nearest 100000. 2100000 What is -45465948 rounded to the nearest 10000? -45470000 What is -4.89399 rounded to 0 decimal places? -5 Round 6012.764 to the nearest 100. 6000 Round 0.0000024303 to six dps. 0.000002 Round -10108164 to the nearest ten thousand. -10110000 Round -0.01767612 to 4 dps. -0.0177 What is 2194.11 rounded to the nearest one hundred? 2200 What is 0.0349394 rounded to four decimal places? 0.0349 What is 148.68616 rounded to the nearest ten? 150 What is 0.000612196 rounded to 4 decimal places? 0.0006 What is 0.000003944892 rounded to seven dps? 0.0000039 Round -0.1524534 to 1 decimal place. -0.2 Round -0.00007385 to five decimal places. -0.00007 What is -20661150 rounded to the nearest 1000000? -21000000 What is -282980.7 rounded to the nearest ten thousand? -280000 What is 2802800 rounded to the nearest one hundred thousand? 2800000 What is -20811810 rounded to the nearest one million? -21000000 What is 0.269651 rounded to 1 decimal place? 0.3 What is 4236.787 rounded to the nearest one thousand? 4000 What is -0.000001880068 rounded to seven decimal places? -0.0000019 Round -5398.0706 to the nearest 1000. -5000 What is 40860065 rounded to the nearest ten thousand? 40860000 Round 0.00001136325 to 6 decimal places. 0.000011 What is -6159530 rounded to the nearest 1000000? -6000000 Round 1592.8538 to the nearest 10. 1590 Round -0.000067649436 to six dps. -0.000068 Round -0.02830275 to 5 dps. -0.0283 Round 5299 to the nearest ten thousand. 10000 Round -0.0000223478 to 7 decimal places. -0.0000223 Round 0.00087721 to six dps. 0.000877 What is 3210722700 rounded to the nearest one million? 3211000000 Round 0.0000776578 to 5 decimal places. 0.00008 What is -0.013375465 rounded to 3 dps? -0.013 Round -0.01577568 to 3 dps. -0.016 Round -0.0652253 to two dps. -0.07 What is 288141 rounded to the nearest 100000? 300000 What is 0.57184 rounded to 1 decimal place? 0.6 What is -1.50715468 rounded to 4 decimal places? -1.5072 What is 13.31166 rounded to 1 decimal place? 13.3 What is 10006561 rounded to the nearest one million? 10000000 What is 0.304977 rounded to three decimal places? 0.305 Round -669804000 to the nearest 1000000. -670000000 Round -0.0673579 to four decimal places. -0.0674 What is 184.1353 rounded to 0 decimal places? 184 What is 2016737.9 rounded to the nearest 1000? 2017000 What is -85752489 rounded to the nearest 1000000? -86000000 Round 515232000 to the nearest 1000000. 515000000 What is 374763 rounded to the nearest ten thousand? 370000 What is -195900.6 rounded to the nearest one hundred thousand? -200000 Round -0.0796026 to 4 decimal places. -0.0796 What is 0.330495 rounded to 2 dps? 0.33 What is 305.9318 rounded to the nearest ten? 310 Round 0.004332542 to 4 dps. 0.0043 Round 0.0000820416 to 6 dps. 0.000082 What is 7164.8 rounded to the nearest one thousand? 7000 What is -4217810 rounded to the nearest 10000? -4220000 Round -0.163341 to three dps. -0.163 What is 60.06484 rounded to two decimal places? 60.06 What is 746113 rounded to the nearest one thousand? 746000 Round 1259.453 to the nearest ten. 1260 Round 3497516 to the nearest one hundred thousand. 3500000 What is -0.000170242 rounded to 6 decimal places? -0.00017 What is 14.257199 rounded to two dps? 14.26 Round -0.00000041095 to 6 dps. 0 Round 0.0226725 to four decimal places. 0.0227 What is -0.2344721 rounded to three dps? -0.234 Round 0.17106696 to 4 dps. 0.1711 Round -3.3669206 to 3 decimal places. -3.367 Round 10.61131 to 1 decimal place. 10.6 What is 58601.4 rounded to the nearest 100? 58600 Round 674323 to the nearest one thousand. 674000 Round -4796534 to the nearest 100000. -4800000 Round 68079.202 to the nearest ten thousand. 70000 Round 0.0025901379 to five dps. 0.00259 What is 214.71321 rounded to the nearest ten? 210 What is -0.000825632 rounded to 5 decimal places? -0.00083 What is 158625 rounded to the nearest 100? 158600 What is 234470200 rounded to the nearest 1000000? 234000000 Round -9.29 to the nearest 10. -10 What is -81871460 rounded to the nearest one hundred thousand? -81900000 Round 0.205858 to 2 dps. 0.21 Round -0.869554 to three dps. -0.87 Round 14342.71 to the nearest 1000. 14000 What is -0.3326 rounded to two decimal places? -0.33 Round 0.000221703 to six dps. 0.000222 Round 543402820 to the nearest 100000. 543400000 What is 3994.19 rounded to the nearest 100? 4000 What is 70.4181 rounded to the nearest ten? 70 What is -0.249624 rounded to one dp? -0.2 Round 0.000001272277 to 7 dps. 0.0000013 What is 1718.179 rounded to 0 decimal places? 1718 Round -1212660 to the nearest 1000. -1213000 What is 0.000021511761 rounded to 6 decimal places? 0.000022 Round 441.29239 to 1 dp. 441.3 Round -14755695 to the nearest one hundred thousand. -14800000 Round -45.8587 to the nearest integer. -46 What is 0.00001119272 rounded to six dps? 0.000011 Round -5.322468 to 0 decimal places. -5 What is 0.01168679 rounded to 4 dps? 0.0117 Round -7166.43 to the nearest one hundred. -7200 What is -0.00002192946 rounded to six dps? -0.000022 Round 0.0000094513 to 6 decimal places. 0.000009 Round -7.667254 to the nearest integer. -8 What is -0.0000136105 rounded to 7 dps? -0.0000136 Round 0.00027065039 to 5 decimal places. 0.00027 Round -13.23926 to the nearest integer. -13 What is 0.04201843 rounded to two dps? 0.04
{ "pile_set_name": "DM Mathematics" }
5*k + 16, 3*y - 4*k + 12 = l. Is y at least -2? False Suppose 3*h + 4*d = -7, -5 = 2*h + d + 3. Is -50/9 != h? True Let b = -0.3 + 1.3. Let o = -2 - -1. Let s = o + b. Which is bigger: -1/9 or s? s Let s be (-6)/27 + 83893/(-144). Let y = s + 583. Let c = y + 9/16. Is 1 bigger than c? True Let c = -118 - -943/8. Which is smaller: c or 1? c Let i be 1/(-5) + 2/10. Suppose -3*f = -5*j + 5, i = 4*f - 0*j + 5*j - 5. Is f greater than or equal to 1/3? False Let s be (16/(-28))/((-40)/28). Which is bigger: 0 or s? s Let v = 1/8 + -23/56. Let g be 4/(-14) - 4/(-14). Which is smaller: g or v? v Let a(i) = i**3 - 6*i**2 + 5*i. Let g be a(5). Suppose g*o = -3*o. Let k = 187 + -188. Are o and k equal? False Let y be (-58)/(-3 - 33/(-6)). Let i = -797/35 - y. Which is smaller: 0 or i? 0 Let z = 3 - 4.6. Let j = z - 6.3. Let w = j - -8. Which is bigger: -2 or w? w Let m be 1/(-1 - 1)*0. Do m and -1/6 have the same value? False Let s(z) = -z + 6. Let j be s(0). Suppose j*o - 10 = o. Which is greater: o or -4? o Suppose 4*l = 5*l + 2. Let x be ((-28)/(-10) + l)/2. Is -1 less than x? True Let w be ((-10)/28)/5*6. Is -1 equal to w? False Let x be -2*(-2)/(-4) - 1. Let p be (-76)/(-24) + -2 - 2. Which is bigger: p or x? p Let t = 54 + -49. Which is smaller: t or 8? t Let l be 4*3/4 + 1. Suppose 2*s = -2 + l. Is -1/10 != s? True Let p(g) = -g**2 + 12*g - 10. Let d be p(11). Suppose h + 3 = 1. Let w be (d + 0)*-2 - h. Which is smaller: 1/3 or w? w Let z be 1 + 9*2/(-14). Let c be 2/(-6) - (-80)/15. Let d(v) = v**2 - 4*v - 6. Let s be d(c). Which is smaller: z or s? s Let j(n) = n**2 + 13*n + 10. Let f be j(-12). Is f > -5? True Suppose d + 40 + 46 = 0. Let z = d - -260/3. Let m = 2 - 4. Is z < m? False Let u(z) = z**3 + 5*z**2 + 6*z. Let i be u(-3). Is i > 2/3? False Let i = -11 - -11. Let o(x) = x**3 + x + 2. Let n be o(i). Which is smaller: 3 or n? n Let f be (-4*1/(-4) - 1)*-1. Do f and -1 have different values? True Let p(x) = 2*x**2 + 4*x + 4. Let o be p(-2). Which is smaller: 3 or o? 3 Suppose -10*v = -8*v. Which is greater: v or -4/7? v Suppose -10*b = -8*b. Is 6/5 less than b? False Let c be 3/(-5) - (-34)/(-10). Which is bigger: -3 or c? -3 Let r(k) = -k - 2. Suppose -3*a - a - 4 = 0. Let c = a - 2. Let u be r(c). Does -2/9 = u? False Let i be (2 - (-12)/(-9)) + -1. Which is greater: 4 or i? 4 Let n(p) = 2*p**3 + 2*p**2 - p - 2. Let k be n(-2). Let a be k/(-5) - (-1 - -3). Let d = -57 + 57. Which is smaller: a or d? a Suppose -10 - 6 = -4*b. Suppose b*s + 0*s - 4 = 0. Let r = s + -1. Is 0 bigger than r? False Let p(y) = -y**3 - 2*y - 1. Let r be p(-1). Let k be 0/(3*(-1)/(-3)). Is r smaller than k? False Let m = -0.14 + 0. Let u = 5.14 + m. Are -0.3 and u equal? False Suppose 8 = g + 23. Let t be ((-246)/4)/(g/(-20)). Let d = 244/3 + t. Which is bigger: -2/7 or d? -2/7 Suppose 5*t = 4*x + 10, t - 4 = -t + 3*x. Suppose 0 = 2*b + 2 - 6. Do b and t have the same value? True Suppose 0 = 35*h - 34*h + 126. Let t be (-10)/4*h/35. Which is smaller: t or -1? -1 Let r be (-5 + 31/6)*9/22. Is 0 smaller than r? True Let h = 1 + -2. Let l = h + 6. Is 1 < l? True Suppose -n + 3*s - 33 = -4*n, 3*s - 49 = -5*n. Let a = n - 6. Suppose u = a*i + i + 2, -5*i + 20 = 3*u. Is 1 bigger than i? False Let x be (0 + -4)*(1 - 0). Let q be (-16)/(-10)*(-10)/x. Does q = 4? True Let b be 1/14*(-10 + 16). Is 1 greater than b? True Let k(q) = q + 2. Let p be k(-10). Does p = -9? False Let t = 2 + 3. Suppose 5*g - 5 = t. Let l be (-16)/(-12)*3/2. Are g and l nonequal? False Let v = 254 - 109. Let z = -721/5 + v. Which is smaller: 0 or z? 0 Let z = -2.6 - 0.4. Let m = z + 3. Let i = -1 - m. Are i and -1 unequal? False Suppose -4*p - 16 = 0, 2*p = -k - p - 8. Let y be 5/(-2*(-2)/k). Let n = y + -4. Is 2/9 >= n? False Let l = 36 + -40. Let d be (-6 - -2 - l)/1. Let m be -1 + 2 - 9/8. Is m less than or equal to d? True Suppose -2*x + 1 = -2*p + 77, 2*p + 5*x = 62. Let t be p/27 - (0 + 1). Let y be 1*2 + -5 + 4. Which is greater: y or t? y Suppose -17*g - 3 = -14*g. Which is smaller: g or 2/65? g Let d = 3.1 - 2.8. Which is smaller: d or 1? d Let j(p) = -3*p + 3. Let o(r) = 4*r - 4. Let w(n) = -5*j(n) - 4*o(n). Suppose 4*v + 4 = -0. Let k be w(v). Is 1 less than k? True Let v(n) = n - 5. Let d be v(0). Let k = d + 5. Suppose 4*w + 15 = 5*x, 5*w - 3*x = -k*x - 9. Which is smaller: w or -2? -2 Let b be ((-12)/(-15) - 1)*1. Let g = -3/10 + b. Does -2 = g? False Suppose 5 + 11 = -4*v. Let k be -2*(2/v - 1). Which is bigger: k or 11/4? k Suppose -9*g + 4*g = 0. Suppose 5*y - 100 = -g*y. Suppose 2*v - 5*z - 20 = 5, y = -5*v - 4*z. Is 0 at most as big as v? True Let u = 36.16 - 15.2. Let t = u + -20. Let s = t + 0.04. Is s bigger than 4? False Suppose 0 = -2*k - 2*p - 12, 3*p + 23 = 2*k - 2*p. Let u = k + 3. Is 3/5 less than u? True Let h be ((-3)/27)/((-3)/18). Which is smaller: -5 or h? -5 Suppose 0 = 7*z + 1 + 6. Let j be (60/21)/(-4) - -1. Is j at most as big as z? False Let y = 0.79 - 0.09. Let n = y - -0.3. Let o = 2 + -2.2. Is n <= o? False Let v = -0.29 + -0.01. Let o = 1.3 + v. Is -1/5 less than o? True Let o = -1.2 + 1. Let u be (-14)/(-49) - 2/56. Which is smaller: u or o? o Let n(w) be the third derivative of -w**4/12 + w**3/6 + 2*w**2. Let b be n(8). Is b bigger than -15? False Let w(q) = -q**2 - 7*q + 12. Let u be w(-9). Let c be (-138)/36 - u/4. Is -3 bigger than c? False Let u = 0 - 0. Let p = 0.07 + -0.27. Let m = u - p. Which is smaller: -2/5 or m? -2/5 Let y(w) = -w - 2. Let v be y(-6). Suppose -4*c = v*z + 16, 14 = -4*c - 2*z + 6. Which is greater: 2 or c? 2 Suppose 0 = 4*o - 0*o - 4. Let v be (1 - o) + 2/(-3). Is 2/3 < v? False Let f be ((-4)/24)/((-2)/(-6)). Let c = f - 1/6. Let l = 0 + -1. Which is smaller: l or c? l Let t = 202 + -1619/8. Let i(z) = 2*z - 10. Let g be i(7). Suppose g*j = j. Which is smaller: t or j? t Let k be 0 + (-2)/(24/(-9)). Let g = 3 + -2. Is k not equal to g? True Let w = 8 - 3. Suppose -w*c = -0*c. Is -1 > c? False Suppose 0*y - 2*y + 19 = 5*c, 3*y = -4*c + 11. Which is greater: c or 22/5? c Let l = 155/4 - 38. Let b = -5/4 + l. Which is bigger: 0 or b? 0 Let g be ((-1)/130)/(3 + 10/(-4)). Which is smaller: g or 1? g Suppose -4*p + 2*p = -4. Suppose 3*b + 0 = 2*u - 5, 3*b - 15 = -3*u. Is b at least p? False Let t be (-7 - -11) + -1 + 1. Suppose 0 = -y - y + 4. Suppose 0 = -y*q - t, 0 = 5*g - 0*g + 2*q + 9. Is -2/29 at least g? True Let l = 98 - 99. Is -1 less than or equal to l? True Let b be (2/(-6))/((-1)/(-3)). Let u be (9/15)/(b/(-5)). Is u >= 3? True Suppose 8*f = 3*f + 10. Suppose -f*o + 4*o - 10 = 0. Suppose 4*z = -5*n + 5 + 2, -n + o = -z. Is 2 bigger than n? False Suppose 1 = 10*r - 9*r. Which is bigger: r or -1? r Let d be 1*((-8)/(-11) + 0). Let k = 208 + -9151/44. Let t = d + k. Which is smaller: 1 or t? t Let b(y) = y + 7. Let q be b(-6). Let g be (q/(-2))/(1/2). Let a = 0 + g. Which is smaller: 2 or a? a Let q = -121/17 - -30579/4301. Is q less than -1? False Let w = 8.5 + 0.5. Let v = 0.06 + 9.94. Let g = w - v. Which is smaller: g or 4/5? g Let i = 30 - 25. Let v be 1*((-2)/3 - -1). Is i > v? True Let i be (-14)/20 - 2/(-10). Let s = -6.22 - -3.2. Let g = s + 0.02. Which is greater: g or i? i Suppose 0 = -0*h - 2*h. Suppose h = x - 4 - 3. Is -1 >= x? False Let n = -38/3 + 377/30. Suppose -3*i + 12 = 5*y, -4*y = 3*i - 9*y + 18. Is i less than n? True Let k = 17 + -17. Suppose -l = -k*l. Is l at least 1? False Let d = -1/4 + -1/12. Is d not equal to -7? True Suppose 0 = -2*l + k - 9, 4*k = -0*k + 20. Which is bigger: -1 or l? -1 Let b be 150/9*8/16. Which is bigger: b or 8? b Let i(h) be the second derivative of -h**4/4 + h**3/3 - h**2 - h. Let x be i(4). Let r be 122/x - (0 + -3). Is r > 0? True Let c(i) = 2*i**2 + i. Let d be c(1). Suppose 1 = -d*o + 7. Let l be (3 + -3)/(0 - o). Do 1/2 and l have different values? True Let s(o) = o**3 - 7*o**2 - 9*o + 8. Let b be s(8). Suppose 5 + 7 = -3*f. Let d = 3 + f. Which is smaller: d or b? d Let r(c) = 5*c**3 - 3*c**2 + 7*c. Let k(u) = -14*u**3 + 9*u**2 - 20*u. Let s(x) = -6*k(x) - 17*r(x). Let a be s(-3). Is -3 bigger than a? False Let z(t) = 2*t + 2. Let k be z(-7). Let x = k + 11. Which is smaller: 2/25 or x? x Let v = -8 - -9. Let u = -9 + 7. Which is smaller: u or v? u Let o = 36
{ "pile_set_name": "DM Mathematics" }
What comes next: 189580, 189569, 189558, 189547, 189536, 189525? 189514 What comes next: 2690, 21947, 74218, 176009, 343826, 594175? 943562 What is next in 2375, 2553, 2731, 2909, 3087, 3265? 3443 What is next in -10847, -21619, -32391, -43163? -53935 What is next in -12617, -25196, -37773, -50348, -62921? -75492 What is the next term in 3204, 6417, 9632, 12849, 16068? 19289 What is the next term in -24032, -48065, -72098, -96131, -120164, -144197? -168230 What comes next: 16183, 32769, 49355, 65941? 82527 What is the next term in 25072, 25074, 25076? 25078 What is next in 53483, 106971, 160457, 213941, 267423? 320903 What is the next term in 65011, 65053, 65083, 65095, 65083? 65041 What comes next: 4415, 4489, 4563, 4637? 4711 What comes next: -421, -557, -929, -1657, -2861, -4661, -7177, -10529? -14837 What is the next term in -3172, -3190, -3238, -3328, -3472, -3682? -3970 What comes next: 126, 296, 498, 738, 1022? 1356 What is next in -45, -12, 25, 54, 63, 40, -27, -150? -341 What is next in -65, -364, -873, -1592, -2521, -3660, -5009? 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{ "pile_set_name": "DM Mathematics" }
-2). Let v(d) = -n*d**2 + 2 - 2. Let i(m) = -16*m**2 + 4*m**2 + 10*m**2. Determine i(v(u)). -8*u**4 Let r(m) = -11 - 626*m + 3 + 623*m + 2 - 11. Let a(d) = -2*d**2. Calculate r(a(j)). 6*j**2 - 17 Let m be -1 - (14/(-8))/((-5)/20). Let h(g) = -4*g. Let l(q) = -6*q. Let b(i) = m*h(i) + 5*l(i). Let o(p) = -4*p + 1. Calculate o(b(d)). -8*d + 1 Let l(w) = 2*w**2. Let x(s) be the second derivative of -s**3/3 - 21*s**2 + 111*s - 2. Determine l(x(f)). 8*f**2 + 336*f + 3528 Let d(a) = -179*a**2. Let j(t) be the third derivative of -t**4/8 + 588*t**2. Give j(d(o)). 537*o**2 Let p(q) be the second derivative of q**4/12 - 7*q + 15. Let u(j) = -7*j**2 + 44. Give p(u(m)). 49*m**4 - 616*m**2 + 1936 Let y(k) = -2*k. Let w(l) = -62*l**2 - 8*l + 8. Let m(u) = 61*u**2 + 6*u - 6. Let x(h) = 4*m(h) + 3*w(h). Give y(x(j)). -116*j**2 Let l(w) = 89*w - 2. Let y(f) = -1630*f**2. What is l(y(m))? -145070*m**2 - 2 Let f(j) = 148*j**2 + 6*j. Let h(s) = -2*s**2 + 2. Give f(h(c)). 592*c**4 - 1196*c**2 + 604 Let i(k) = k + k + 2*k - 2*k. Let y(d) = -d - 13. Let x be y(0). Let j(g) = -7*g - 6. Let c(n) = 15*n + 13. Let f(l) = x*j(l) - 6*c(l). What is f(i(m))? 2*m Let g(z) = -2*z**2. Let f(y) = -8 + 11 + 46*y - 21*y - 21*y. Give g(f(r)). -32*r**2 - 48*r - 18 Let u(j) = 9074*j. Let d(b) = -61*b. Give u(d(m)). -553514*m Let f(b) = -3*b - 12. Let o(z) = 12*z + 10. Determine o(f(t)). -36*t - 134 Let c(x) = 5*x. Let l(n) be the first derivative of 13 - 12 + 9 + n**3. Give l(c(a)). 75*a**2 Let a(d) = 12*d. Let k(g) = -g**3 - 7*g**2 + 10*g + 20. Let j be k(-8). Let z(o) = 4*o + 3*o - 2*o - j*o. Determine z(a(r)). 12*r Let l(g) = -24*g + 11*g + 10*g. Let s(j) = j - 7*j + 7*j. Give s(l(n)). -3*n Let y(i) be the second derivative of i**6/120 - i**4/6 - 17*i. Let w(a) be the third derivative of y(a). Let d(k) = -2*k. What is d(w(h))? -12*h Let c(b) = 2*b**2. Let i(r) = 79*r**2 + 400. Calculate i(c(n)). 316*n**4 + 400 Let u(n) = -3*n**2 - 5*n**2 + 25*n**2 - 21*n**2. Let l(o) = 9*o**2 + o**2 - o**2. Determine l(u(w)). 144*w**4 Let o(l) = 35*l. Let x(i) be the second derivative of -i**3/6 - 306*i. Give x(o(k)). -35*k Let f(d) = d - 5. Let b(y) = 2*y**2 - 17*y. Calculate f(b(n)). 2*n**2 - 17*n - 5 Let h(j) = 5*j**2 - 11*j**2 + 11*j**2. Let t(k) = 2*k**2. Determine h(t(o)). 20*o**4 Let s(g) be the third derivative of 7/60*g**5 + 0*g**3 - 2*g**2 + 0*g**4 + 7 + 0*g. Let a(i) = 6*i**2. What is a(s(n))? 294*n**4 Let v(k) = k. Let o(q) = 579 + 5*q + 584 - 1172. Calculate o(v(s)). 5*s - 9 Let x(w) = 4*w**2 + 3*w**2 - 4*w**2. Suppose 2*b - 4*b + 2*y + 2 = 0, b - 4*y = -2. Let p(k) = 2*k**2 + 4*k**2 - 4*k**b + 0*k**2. What is x(p(r))? 12*r**4 Let g(r) = -6*r - 5. Let t(j) = 5*j + 4. Let c(h) = h**2 + h - 7. Let z be c(-4). Let k(b) = z*t(b) + 4*g(b). Let i(d) = -4*d**2. Determine k(i(m)). -4*m**2 Let m(o) = 21*o. Let y(f) = -3753*f. Give y(m(h)). -78813*h Let g(t) = -515*t + 10. Let n(m) = -5*m. Calculate n(g(h)). 2575*h - 50 Let k(a) = -40*a + 0 + 0 - 37*a + 85*a. Let n(u) = -5*u. Determine k(n(x)). -40*x Let j be 1/((-2)/(-5) + (-105)/450). Let u(v) = -j*v + 7*v - 4*v. Let p(i) = -3*i**2. Give p(u(h)). -27*h**2 Let d(p) = 2*p. Let k(w) = -5292*w + 5. What is d(k(j))? -10584*j + 10 Let z(c) = 13*c - 2. Let a(t) be the second derivative of -t**7/2520 + 37*t**4/12 + 41*t. Let o(b) be the third derivative of a(b). Give z(o(j)). -13*j**2 - 2 Let r(j) be the first derivative of j**2/2 + 4. Let n(t) = -6*t**2. Let s(z) = 5*z**2. Suppose 8*p = 5*p + 6. Let k(g) = p*n(g) + 3*s(g). Determine r(k(l)). 3*l**2 Let a(o) = 3*o - 1. Let f(j) = -j + 1626. What is a(f(s))? -3*s + 4877 Let a(b) = 3*b**2. Let o(j) = j**2 - j. Let i be o(1). Suppose 0 = -s + 3, i*r - 4*r = -2*s - 1194. Let y(n) = -r + 300 - 2*n. Give a(y(u)). 12*u**2 Let l(x) = 5*x**2 - 3*x - 3. Let g(p) = 36*p**2 - 20*p - 20. Let y(j) = 3*g(j) - 20*l(j). Let h(b) = 3*b**2. Determine y(h(c)). 72*c**4 Let a(r) = 2*r. Let z(o) be the second derivative of -2*o + 0 + 1/6*o**3 + 0*o**2. Calculate a(z(l)). 2*l Let k(d) = 10*d**2 + 5*d**2 - 7*d**2 + 12*d**2. Let g(s) = 2*s**2. What is g(k(n))? 800*n**4 Let l(u) be the second derivative of -5*u**4/24 + u**2/2 - 5*u. Let s(v) be the first derivative of l(v). Let k(w) = 3*w**2 - w**2 + 18 - 18. What is k(s(i))? 50*i**2 Let u(g) = g. Let b(l) = -l**2 + l - 1. Let i be (57/(-6) + 2)*(-24)/30. Let n(h) = -7*h**2 + 6*h - 6. Let p(a) = i*b(a) - n(a). Give p(u(s)). s**2 Let z(u) = u. Let j(x) = -x + 11. Let w(l) = l**3 - 10*l**2 + l - 8. Let g be w(10). Let h(y) = 4*y - 6 - g*y - y. Let c(m) = -11*h(m) - 6*j(m). Give z(c(v)). -5*v Let k be ((-116)/(-6))/(2/(-3)). Let s = 31 + k. Let i(b) = -b**2 + b**s - 2*b**2. Let w(g) = -3*g. Calculate i(w(h)). -18*h**2 Let r(d) = 144 - d**2 - 144. Let a(f) be the first derivative of -f**4/8 - f**2/2 + 1. Let n(s) be the second derivative of a(s). Calculate n(r(y)). 3*y**2 Let h(l) be the second derivative of l**3/3 - l. Let m(c) = 3 - 10*c - 158*c**2 - 3 + 0*c + 161*c**2. Give h(m(x)). 6*x**2 - 20*x Let d(l) = 14*l + 10. Let f(y) = -20*y - 14. Let g(p) = -7*d(p) - 5*f(p). Let i(o) = -10*o. Calculate i(g(s)). -20*s Let p(a) = -a + 4. Let i(u) = -u + 5. Let k(g) = g**3 + 7*g**2 + 11*g + 1. Let c be k(-5). Let v(r) = c*i(r) + 5*p(r). Let o(h) = -h - 10. What is o(v(z))? z - 10 Let h(n) be the second derivative of 5*n**3/6 + n + 111. Let y(t) = 102*t. Give h(y(p)). 510*p Let b(u) = -135*u**2 - 2*u - 106. Let z(t) = 2*t**2. Calculate b(z(p)). -540*p**4 - 4*p**2 - 106 Let p(i) = -6*i**2. Suppose -2*f = -267 + 229. Let n(b) = 21 + b**2 + f - 40. Calculate n(p(t)). 36*t**4 Let l(n) = -n + 100. Let x(s) = 51*s - 2. What is x(l(q))? -51*q + 5098 Let v(t) = -t. Let j(f) = 1870*f - 2. Give j(v(m)). -1870*m - 2 Let y(k) = k**2. Let b(v) be the second derivative of 0*v**2 - 13*v - 7/3*v**3 + 0. What is y(b(p))? 196*p**2 Let v(g) = 5*g. Let l(b) = -108492*b. Calculate l(v(m)). -542460*m Let v(x) be the first derivative of 5*x**2/2 - 66. Let i(u) = 6*u**2. Let b(z) = z**2. Let s(o) = -33*b(o) + 6*i(o). Determine v(s(r)). 15*r**2 Let v(i) = -i**2 + 15*i + 5. Let x(q) = -65*q. Calculate v(x(r)). -4225*r**2 - 975*r + 5 Let d(k) = -26*k**2. Let x(h) be the third derivative of -h**5/5 - h**2 - 7*h. Give d(x(s)). -3744*s**4 Let b(q) = 2*q. Let f(o) be the first derivative of 3*o**5/40 - 4*o**3 - 6. Let h(j) be the third derivative of f(j). What is h(b(k))? 18*k Let m(a) = a. Let s(z) = 8*z. Let g(n) = n + 6. Let b be g(-7). Let r = -12 - -18. Let c(l) = b*s(l) + r*m(l). Let y(o) = o**2. Determine c(y(h)). -2*h**2 Let n(m) = 66*m - 9. Let g(a) = -34*a + 4. Let l(s) = 10*g(s) + 4*n(s). Let w(h) = 2*h. What is l(w(b))? -152*b + 4 Let m(v) be the second derivative of -v**4/12 - 273*v - 1. Let q(c) = -2*c - 81. Give q(m(a)). 2*a**2 - 81 Let c(o) = -5*o + 7. Let q(u) = u - 1. Let i(b) = c(b) + 2*q(b). Let x(j) be the second derivative of j**4/12 - 267*j. Give x(i(r)). 9*r**2 - 30*r + 25 Let y(m) = 10*m. Let v(d) be the first derivative of 27*d**3 + 609. Give y(v(t)). 810*t**2 Suppose 6*w = 3*w + 51. Let y = 17 - w. Let h(n) = 0*n + y - n + 0. Let z(l) = -8*l. Give z(h(p)). 8*p Let o(s) = -18*s**2. Let l be (-1 + 0 + 1)/(-1). Let y(q) = -q + q + q + l. What is o(y(p))? -18*p**2 Let s(o) = 2*o**2. Let y = -6 - -2. Let b be y/6 + 179/3. Let v(u) = -b*u + 59*u - 4*u**2. Determine s(v(x)). 32*x**4 Let w(v) = -v - 2*v - v - 3*v. Let l(t) be the first derivative of -2*t**3/3 + 3*t**2/2 + 4. Let a(n) = -n. Let q(b) = -3*a(b) - l(b). Give q(w(o)). 98*o**2 Let z(u) = -55*u. Let r(g) = -7*g**2 + 143*g - 1. Determine r(z(d)). -21175*d**2 - 7865*d - 1 Let q(a) = -6*a**2. Let g = -24 - -32. Let s(c) = 3*c - 8*c + g*c. What is q(s(u))? -54*u**2 Let n(y) = -6*y + 3*y + 2*y. Let c(g) = 5*g - 6*g + 6*g. Determine c(n(p)). -5*p Let p(u) = 2*u**2. Let l(y) = -8*y**2 + 25*y. Let d(r) = -8*r - 26. Let o be d(-4). Let k(x) = -x**2 - x. Let z(t) = o*k(t) - l(t). What is p(z(q))? 8*q**4 - 248*q**3 + 1922*q**2 Let j(m) = 5778*m**2 - 1. Let y(n) = -104*n**2. Give j(y(p)). 62494848*p**4 - 1 Let a(c) = 34*c. Let u(r) = 102926*r. Give u(a(p)). 3499484*p Suppose 9 = y + 2*y. Let a(v) = -3 + y - 2*v. Let u(c) be the first derivative of 2*c**2 + 148. Determine u(a(d)). -8*d Let w(h) = -2*h. Let a(j) = 2*j**2 + j + 1. Let q be a(-1). L
{ "pile_set_name": "DM Mathematics" }
i) = 4*m(i) + 3*o(i). What is j(f(l))? -90*l**2 Let h(r) = 6*r + 0*r + 14*r - r. Let n(s) = 17*s. Let k(d) = -1 - 280*d + 276*d + 1. Let u(j) = -12*k(j) - 3*n(j). Calculate u(h(t)). -57*t Let u(z) = -7*z**3 - 4*z**2 - 6*z - 10. Let w be u(-3). Let i(d) = 156*d**2 + w*d**2 - 313*d**2. Let n(x) = -63*x. Determine n(i(q)). -252*q**2 Let l(g) = 53*g**2 - 1292 + 2926 + 69*g**2 - 1634. Let z(y) = 2*y**2 + 48*y. Calculate z(l(d)). 29768*d**4 + 5856*d**2 Let f(w) = -922990*w + 45. Let m(t) = 2*t**2. Calculate f(m(z)). -1845980*z**2 + 45 Let m(n) = 375680*n**2 + 2*n. Let a(y) = y + 80. What is a(m(u))? 375680*u**2 + 2*u + 80 Let s(i) = -6185*i - 6184*i + 12367*i. Let z(q) be the third derivative of 2*q**2 + 0*q + 0 + 0*q**3 - 11/24*q**4. Calculate s(z(d)). 22*d Let u(q) be the second derivative of -11*q**4/12 - 7401*q. Let s(c) = -199*c**2. Determine u(s(k)). -435611*k**4 Let r(v) = 675*v**2. Let c(k) = -713606*k**2. Give r(c(n)). 343732628184300*n**4 Let p(m) = -6*m - 1. Let a(t) = -t**2 + 21*t - 3. Let i(z) = 2*z**2 - 56*z + 8. Let l(n) = -8*a(n) - 3*i(n). Determine l(p(d)). 72*d**2 + 24*d + 2 Let u(y) = -4*y - 28316. Let x(h) = 17*h - 3. Calculate u(x(a)). -68*a - 28304 Let g(t) = 12*t**2 + 10*t - 15. Let k(i) = 13*i**2 + 12*i - 18. Let x(m) = -6*g(m) + 5*k(m). Let v(o) = -167*o**2. What is x(v(a))? -195223*a**4 Let a(b) be the first derivative of b**2 - 1. Let d be ((-17 - -13)*2/(-4))/1. Let j(p) = 10*p**d - 6*p**2 + 19*p**2. Give a(j(n)). 46*n**2 Let u(g) = 72*g**2. Let b be 13/(325/20)*5/2. Let k(c) = 0*c - 8*c + 8*c - 5*c**2 + 3*c**b. What is u(k(j))? 288*j**4 Let c(q) = -3*q**2. Let l(v) be the first derivative of 19*v**6/180 + 17*v**3/3 - v + 152. Let u(n) be the third derivative of l(n). What is c(u(s))? -4332*s**4 Let p(k) = 9*k. Let i be (-28)/12*3 + 54. Let m(n) = -i*n - 5 + 5 + 25*n. What is p(m(g))? -198*g Let b(p) = -2039*p**2. Let h(q) = -3*q - 2. Let a(v) = 28*v + 18. Let k(z) = -2*a(z) - 18*h(z). Calculate b(k(y)). -8156*y**2 Let f(k) be the first derivative of -k**3/3 - k**2 + 1. Let l(b) = -3*b**2 - 8*b. Let v(g) = -4*f(g) + l(g). Let x(q) = 5*q**2. Calculate x(v(p)). 5*p**4 Let n(v) = -3*v**2. Let u(y) be the first derivative of 17*y**4/12 + 17*y - 60. Let l(h) be the first derivative of u(h). What is l(n(c))? 153*c**4 Let u(x) = 6*x**2. Let z(q) = -6*q + 46 - 14 - 20 - 13. Give z(u(y)). -36*y**2 - 1 Let s(g) = -19*g + 9. Suppose 2*a = 3*u - 8, -5*u = -0*u + 2*a - 8. Let d(f) = -20*f + 7. Let y(c) = u*s(c) - 3*d(c). Let q(w) = 2*w**2. Give q(y(b)). 968*b**2 - 264*b + 18 Let r(p) = 44230*p**2 + 44220*p**2 - 88411*p**2. Let o(z) = -2*z - 19. Calculate r(o(h)). 156*h**2 + 2964*h + 14079 Let i(y) = 51*y**2 - 67*y. Let p(h) be the first derivative of -h**2 - 7303. Determine i(p(d)). 204*d**2 + 134*d Let b(q) = 42*q - 384976. Let p(u) = 4*u**2. What is b(p(r))? 168*r**2 - 384976 Let a(d) = 98*d. Let m(g) = -368*g**2 + 36*g + 18. Let b(s) = -21*s**2 + 2*s + 1. Let h(v) = 36*b(v) - 2*m(v). Give h(a(r)). -192080*r**2 Let b(y) = y**3 + 14*y**2 - 5*y - 12. Let p be b(-13). Let s(u) = -222 + p - 5*u. Let k(z) be the second derivative of 5*z**4/6 + 6*z. Determine k(s(x)). 250*x**2 Let l(c) be the second derivative of -2/3*c**3 + 8*c + 0 + 0*c**2. Let n(g) = 27*g**2. Let a(m) = -5*m**2. Let j(o) = -11*a(o) - 2*n(o). What is j(l(i))? 16*i**2 Let q(m) = 4244*m**2. Let x(j) = -84*j. Calculate q(x(a)). 29945664*a**2 Let r(z) = -2*z**2. Let g(q) = 2514*q - 4756225 + 4756225. Calculate g(r(c)). -5028*c**2 Let f(y) = -116*y**2 + 6*y. Let c(t) = -13*t**2 - 3*t + 3. Let d(m) = 56*m**2 + 13*m - 13. Let b(s) = -26*c(s) - 6*d(s). Determine f(b(r)). -464*r**4 + 12*r**2 Let l(m) = m**2 - 84*m. Let d(y) = -42*y. Let u(q) = -4*d(q) + 2*l(q). Let g(c) = -4*c + 19. Calculate g(u(v)). -8*v**2 + 19 Let b(f) = -4*f + 14*f - f. Let v(l) = 12*l + 12. Let p(j) = -37*j - 42. Let z(c) = -2*p(c) - 7*v(c). Calculate b(z(m)). -90*m Let b(x) = 69*x. Let y(k) be the second derivative of k**4/24 - 25*k**2/2 - 90*k. Let r(l) be the first derivative of y(l). Give b(r(a)). 69*a Let u(n) be the first derivative of -3*n**3 + 1588. Let k(p) = 28*p**2 - p. Give k(u(w)). 2268*w**4 + 9*w**2 Let f(p) = 96*p. Let g(a) be the third derivative of -20*a**2 + 0*a + 3 - 1/30*a**5 + 0*a**4 + 0*a**3. Calculate f(g(m)). -192*m**2 Let g(l) = l - 4*l + 2*l. Let v(c) = c**2 + 18*c + 37. Let u be v(-19). Let s(r) = 232*r + 56. Let i(m) = -21*m - 5. Let o(z) = u*i(z) + 5*s(z). Give g(o(y)). 16*y Let z = -276 + 271. Let l(r) = -r**2 - 5*r + 10. Let b(k) = -k + 2. Let f(a) = z*b(a) + l(a). Let c(j) = 8*j - 4. What is f(c(x))? -64*x**2 + 64*x - 16 Let h(j) = 8*j**2. Let v(f) be the third derivative of 53*f**4/8 + 2*f**2 + 1653. Give v(h(a)). 1272*a**2 Let c(q) = -2*q**2 - 9*q + 48. Let i(k) = k**2 + 3*k - 16. Let d(y) = -c(y) - 3*i(y). Let a(v) = -6693*v. What is a(d(z))? 6693*z**2 Let m(a) = 3*a + 14. Let z(l) = 6*l**2 - 175562*l + 175562*l. What is m(z(j))? 18*j**2 + 14 Let l(y) = -321257160*y. Let c(f) = 2*f. What is c(l(g))? -642514320*g Let t(f) = -17*f. Let m(c) be the second derivative of 37*c**3/6 + 2*c**2 + 4599*c. Calculate m(t(j)). -629*j + 4 Let o(a) = -6*a**2 - 288*a. Let m(i) = -687*i + 1. What is o(m(y))? -2831814*y**2 + 206100*y - 294 Let r(l) = 2*l + 14760102. Let w(m) = -m**2. Calculate r(w(g)). -2*g**2 + 14760102 Let s(n) = -33*n**2 + 21*n - 42. Let u(k) = -3*k**2 + 2*k - 4. Let i(r) = 6*s(r) - 63*u(r). Let b(m) = 5*m**2 - 5*m. Determine b(i(q)). 405*q**4 + 45*q**2 Let j(c) = 11872*c**2. Let w(d) = 317*d - 1. What is w(j(f))? 3763424*f**2 - 1 Let z(t) = 17702*t. Let s(j) = -930*j**2. Give s(z(x)). -291425547720*x**2 Let a(n) be the second derivative of 0*n**3 + 2*n + 3/4*n**4 + 0 + 0*n**2. Let q(c) be the third derivative of -c**5/30 + 4*c**2 + 17*c - 2. Determine a(q(h)). 36*h**4 Let p(h) = -2*h**2. Let x(l) = 3*l - 1. Let i(t) = -59*t - 9*t - 2*t + 3. Let d(u) = -i(u) - 3*x(u). What is p(d(g))? -7442*g**2 Let g(b) = -2*b**2 + b**2 + 4*b**2 + b**2. Let m(o) = 21*o**2 + 53*o + 34. Let l(r) = -10*r**2 - 25*r - 16. Let n(i) = -17*l(i) - 8*m(i). What is n(g(a))? 32*a**4 + 4*a**2 Let b(x) be the first derivative of -17*x**2/2 + 8735. Let h(i) = -26*i**2 + 3. What is h(b(o))? -7514*o**2 + 3 Let w(t) = 69*t**2. Let v(c) be the second derivative of -c**3/6 + 83*c - 1. Calculate v(w(b)). -69*b**2 Let v(i) = -933*i + 1919*i - 981*i. Let d(z) = -1936*z**2. Give d(v(t)). -48400*t**2 Let c(l) = -3*l. Let z(u) be the third derivative of -u**5/60 - 109*u**3 + 16*u**2 + 9*u - 1. Give z(c(x)). -9*x**2 - 654 Suppose -u + z = -z - 332, -4*z = -5*u + 1660. Let l(d) = 2*d - 332 - d + u. Let m(j) be the first derivative of -2*j**3 + 2. What is l(m(w))? -6*w**2 Let g(n) be the first derivative of 25*n**2/2 - 299. Let v(y) = 10*y**2 - 2*y. What is g(v(x))? 250*x**2 - 50*x Let a(d) be the first derivative of -280*d**2 + d + 853. Let p(t) = -2*t. What is p(a(y))? 1120*y - 2 Let p(u) = 207 - 69 - 103*u - 65 - 72. Let f(v) = -15*v**2. Calculate p(f(t)). 1545*t**2 + 1 Let k(z) = 148*z**2. Let s(p) = 2*p - 2. Let u(w) = -2*w**2 + 10*w - 10. Let n(x) = 15*s(x) - 3*u(x). What is n(k(a))? 131424*a**4 Let q(g) = -g. Suppose w - 14 - 9 = 0. Suppose 8*s = 6*s + 5*u + 36, -3*s - 3*u + 33 = 0. Let n(d) = -s + 10*d - 10 + w. Calculate q(n(i)). -10*i Let l(r) be the first derivative of -r**3/6 + 27*r - 20. Let h(o) be the first derivative of l(o). Let v(b) = -78*b. Calculate h(v(i)). 78*i Let p(r) be the third derivative of 2*r**5/15 + r**3 - 5395*r**2. Let b(x) = -14*x**2. Determine p(b(h)). 1568*h**4 + 6 Let w(r) = 18*r. Suppose 2*d - 10 = 5*q, 0 = -2*q - 0*q - 5*d + 25. Let c be (2 + 4)/(-2 + (q - -3)). Let l(f) = 2*f + 3*f - c*f. Give l(w(m)). -18*m Let r(q) = 19*q**2. Let w(j) = -27777*j + 15. What is w(r(s))? -527763*s**2 + 15 Let x(d) = -4688708*d**2. Let l(j) = -81*j**2. What is x(l(i))? -30762613188*i**4 Let b(j) be the third derivative of 7*j**5/60 - 1449*j**2. Let l(v) be the first derivative of -1 - 2*v**2 + v**3 + 2*v**2. What is l(b(y))? 147*y**4 Let b(m) = -m. Let z(n) = 24*n - 17419217. Give b(z(v)). -24*v + 17419217 Let u(l) = -9*l**2 - 45*l - 3. Let j(s) = 3*s**2 - 15*s - 1. Let q(w) = 6*j(w) - 2*u(w). Let n(z) = z**2. Calculate n(q(a)). 1296*a**4 Let t(h) = -1781*h - 65. Let n(l) = -81*l - 3. Let
{ "pile_set_name": "DM Mathematics" }
1)? -3 Let f be (((-405)/(-25))/9)/((-16)/20 - -1). Let y(z) = -2*z**2 + 14*z + 17. Determine y(f). -19 Let i(c) = -16*c - 230. Let b(y) = -17*y - 234. Let q(k) = 4*b(k) - 5*i(k). What is q(-18)? -2 Let x(d) = 69*d**2 - d - 2. Let y(h) = 25*h**2 - 1. Let l(c) = 4*x(c) - 11*y(c). Suppose 2*k + 0*r = 4*r + 6, 0 = -4*r. Determine l(k). 0 Let o(m) = -7*m**2 + 27*m - 114. Let i(g) = 3*g**2 - 14*g + 45. Let r(b) = 5*i(b) + 2*o(b). Give r(16). -3 Let f(c) = -1484*c - 336. Let q(a) = 31*a + 7. Let u(w) = -6*f(w) - 287*q(w). Determine u(-2). -7 Let k(n) be the second derivative of 1/2*n**2 + 3*n - 18 + 5/3*n**3. Determine k(1). 11 Let c(m) = 22*m**2 - 21*m + 4320 - 4284 - 21*m**2 + 31*m. Calculate c(-7). 15 Let u = -6759 - -6771. Let v(p) = 16*p - 189. What is v(u)? 3 Let z(o) = 16*o + 84. Suppose 55*f - 1464 = -1794. Give z(f). -12 Let n(h) = -h**2 + 137*h + 286. Let a be n(-2). Let k(v) = v - 42. What is k(a)? -34 Let h(g) = 7 - g - 2*g - 8 - g**2. Let b(d) = 3*d**2 + 10*d + 3. Let v(q) = 3*b(q) + 8*h(q). Let i be v(-6). Let z(u) = 4*u**2 - u + 1. Give z(i). 4 Let f(l) be the second derivative of -l**4/12 - 5*l**3/6 + 7*l**2/2 - 6*l - 37. Give f(-7). -7 Suppose 0 = -4*i - 3*w - 32, 0 = 29*i - 28*i + w + 7. Let m(r) = 6 - 3*r + 11*r**2 + 2*r + r**3 + 3*r. What is m(i)? -16 Let v(q) = 195352 - 5*q**2 + 8*q + 2*q - 195380 + 17*q. Give v(1). -6 Let t(j) = -3*j**3 - 24*j**2 - 12*j - 13. Let f(r) = 2*r**3 + 14*r**2 + 6*r + 6. Let v(l) = 5*f(l) + 3*t(l). Calculate v(4). -1 Let g(r) = -5*r + 2. Let h = -3359 - -3350. Give g(h). 47 Let x(q) be the third derivative of 1/12*q**5 - 1/2*q**3 + 0 + 0*q - 188*q**2 + 1/120*q**6 + 1/24*q**4. Calculate x(-5). -8 Let o be ((-9)/(-15) - 1)/((-4)/(-20)). Let q = 11 - 8. Let f(u) = -q*u + u - u + 2*u. Calculate f(o). 2 Let z be (47 + 5)*(-51)/(-12). Let x(u) = 69*u**2 + 77*u**2 + 11 - z*u**2 + 76*u**2 + 9*u. Give x(-7). -3 Let l(b) = -b + 1. Let q = -22 + 18. Let x(y) be the first derivative of -3*y**2/2 + 11*y + 65. Let i(k) = q*l(k) + x(k). Calculate i(-5). 2 Let s be 2/((-4)/(-2)) - -7. Let u(g) = -s*g**2 + 0*g - g**3 - 22*g + 23*g + 5. Give u(-8). -3 Let f = 21 - 14. Let b(g) = -5*g - 28. Let n be b(-6). Let u(k) = 1 + k**n - 1 + 0 - 6*k - 3. What is u(f)? 4 Suppose -4*g - 787 = 4*c - 7*g, 757 = -4*c - 3*g. Let z = c - -182. Let t(s) = -s**3 - 11*s**2 - 3. What is t(z)? -3 Let z(a) = 2*a - 8. Let r be (2 + 1 - 1/(-7))/((-20)/(-70)). Determine z(r). 14 Let r(w) = w - 1. Let l(k) = 2*k - 1. Let o be -1 - -7 - (1 + 4). Let h(s) = o*r(s) + 2*l(s). What is h(6)? 27 Let t(d) = -4308 + 2153 + 2154 - 2*d**3. Suppose 0 = s - 4*m + 11, s + 4*s + 3*m = 14. Let b(v) = -v**2. Let z be b(s). What is t(z)? 1 Let m(b) = b**2 - b + 18. Let y = -175 + 179. Let o be 2/(2 - 0)*(-6 + 9). Suppose 0*x = o*v + 5*x, -x = y*v. Determine m(v). 18 Let h(t) = -9*t + 13. Let n(m) = 7*m - 12. Let y(j) = 4*h(j) + 5*n(j). Suppose 2*l - 2*d = -l - 29, 2*l - 5*d + 34 = 0. Calculate y(l). -1 Suppose -89*f - 37*f - 659 = -911. Let c(w) = 87*w - 172. Give c(f). 2 Let m be (1 - 5) + 22 + -3. Suppose m*k - 10*k = 5*b + 50, -3*k = -5*b - 42. Let t(d) be the first derivative of d**2/2 + 6*d - 1. What is t(b)? 0 Let b(m) = -254*m + 20 - 250*m - 248*m + 755*m. Give b(-4). 8 Let m = 116491 - 116488. Let h(n) be the first derivative of 3*n**2/2 - 5*n - 1. Calculate h(m). 4 Let q = 214 + -189. Let p(j) = -j**2 + 27*j - 63. Determine p(q). -13 Suppose 5*a - 9 - 16 = -2*s, 0 = 3*a - 3*s + 6. Let t(l) = -7*l**2 + 2 + 2 + a*l**3 + 5 - 2*l**3 - 7*l. Let u(g) = g**2 - 2*g - 16. Let j be u(6). Give t(j). 17 Let z(a) = 256 - 14*a - 186 - 482 - 529. Calculate z(-67). -3 Let c(s) = 30*s - 93. Let w be c(3). Suppose 3 = -3*z + 21. Let d(q) = z*q + 2*q + 4 - 4*q. Determine d(w). -8 Let v(y) be the first derivative of -y**4/4 + 8*y**3/3 - 5*y**2 - 10*y + 916. Give v(6). 2 Let n(u) = 10*u**3 - 2*u**2 + 1. Let s(d) = 39*d**3 - 8*d**2 + 4. Let w(r) = 9*n(r) - 2*s(r). Let g = -207 + 208. What is w(g)? 11 Let h(p) = 21*p + 6. Let v(x) = 2*x. Let s(d) = -3*h(d) + 30*v(d). What is s(-4)? -6 Let c(q) = q**3 + q**2 + q. Let f = -3646 + 3645. What is c(f)? -1 Let k(g) = 15*g - 77. Let c(z) = 44*z - 210. Let h(m) = 3*c(m) - 10*k(m). What is h(7)? 14 Let r be -2 + (-3 - -6) + -7. Let f be r/(-4) - (-12)/24. Let c(q) = -q**3 + 2*q**2 + 3*q - q + 0*q. Calculate c(f). 4 Let c(i) = 14*i + 62. Suppose 50*u = 45*u - 20. Let v be c(u). Let r(q) = 0*q + q - 4 - 3. Determine r(v). -1 Let u(k) = k**3 - 16*k**2 - 17*k - 8. Suppose -38 = -2*y - i, -11*y + 71 = -8*y + 5*i. What is u(y)? -8 Let z(i) = -2*i**2 + 8*i - 12. Let r(j) = -152*j + 1979. Let q be r(13). What is z(q)? -6 Let v = -1 - -1. Let f(l) be the third derivative of l**6/120 - l**5/60 + l**4/24 - 4*l**3/3 - 3*l**2 - 604. Calculate f(v). -8 Let t(c) = 11*c - 76. Let g(o) = 32*o - 217. Let p(k) = -6*g(k) + 17*t(k). Give p(3). -5 Let n(p) = -2*p**2 + 13*p - 9. Let s be n(3). Let b(a) = a - 10 - 1 + 9. Give b(s). 10 Let j(k) = k + 13. Suppose -2*p + 5*p + 45 = -2*m, p = 3*m + 40. Let d be (0 - 6/m)*(-60)/(-2). Let q be 12*(-8)/d + (2 - 1). Give j(q). 6 Let a(h) = -21*h**3 + 47*h**3 - 27*h**3. Let f = -3 - -3. Suppose f = -3*w - 2 + 5. Calculate a(w). -1 Let m = 144 - 322. Let q = -125 - m. Let i = q - 58. Let d(k) = -3*k - 5. Determine d(i). 10 Suppose -5*n + 87 = 5*l + 32, -15*n + 75 = 0. Let g(w) = w + 1. Let r(i) = i. Let z(x) = -2*g(x) + 3*r(x). Give z(l). 4 Let x = 9 + 2. Let h(z) = -605236 - 10*z + 2*z**2 - z**2 + 605230. Determine h(x). 5 Let j(x) = 8*x - 1. Let k = -47 + 19. Let n = -24 - k. Suppose 5 + n = -9*p. Calculate j(p). -9 Let u(o) = 27*o**2 + 9*o. Let c(b) = b**2 - 2*b. Let q(y) = 4*c(y) + u(y). Let r be (-14)/(-12) - (-3)/(-18). Give q(r). 32 Let p = 322 - 311. Let h(c) = 18*c - 1 - p*c + 20*c - 2*c. Give h(1). 24 Let d(b) = b**2 + 6*b + 4. Let g(t) = t**2 + t - 4. Let f be g(-3). Let s(z) = 49*z - 37*z + 0 - z**3 - 6 + 11*z**f. Let v be s(12). What is d(v)? 4 Let n(t) = -t**3 - 7*t**2 + 4*t + 3. Let x(k) = k**3 + 11*k**2 - 6*k - 2. Let g(i) = 4*n(i) + 3*x(i). Let s be ((-3)/(-3))/(1/5). Determine g(s). -4 Let x(h) = -h**3 + 20*h**2 - 36*h - 9. Let o be x(18). Let w(a) = 3*a**2 - 5*a + 2. Let i(b) = 13*b**2 - 19*b + 10. Let v(y) = o*w(y) + 2*i(y). Calculate v(8). -6 Let o(a) = -a**2 - 9*a + 101. Let t(v) = -v + 12. Let s(k) = 2*o(k) - 17*t(k). Calculate s(-1). -3 Suppose -3*f = 2*f - 40. Let t be (4/(-8)*-6 - -2) + 0. Let w(x) = 3*x + 21. Let z(i) = -2*i - 14. Let s(d) = f*z(d) + t*w(d). What is s(-5)? -2 Let l(y) = y - 3. Let u be 82/5 + -4*(-4)/(-40). Suppose -x + 6*x = -h + u, 4*x = -5*h - 4. Let i(w) = w**3 - 2*w**2 - 7*w + 4. Let r be i(x). Give l(r). 5 Suppose 5*g = 3*x - 58, 0 = -5*g - 178 + 138. Let h(y) = y**3 - 4*y**2 - 3*y - 17. Determine h(x). 37 Let b(t) = t + 8. Suppose 3*i - 160 = i - 3*j, 2*i + 2*j = 164. Suppose -u - i = -6*u + 2*h, -2*u = -2*h - 32. Let m be u/(-45) + 48/(-5). Calculate b(m). -2 Let j(l) = l - 2. Suppose -3*d - 623 = -626. Suppose 12 = 4*y - 4*g, -5*y - 5*g + 2*g - d = 0. What is j(y)? -1 Let l = 2677 - 2677. Let c(g) = -2*g**2 - 4*g - 2. Calculate c(l). -2 Let t(x) = x**2 - 30*x + 35. Let i be t(28). Let j be i/6*(-16)/28. Let k(f) = f - 1. Let q(y) = 7*y - 5. Let a(w) = 6*k(w) - q(w). Give a(j). -3 Let k(y) be the first derivative of y**4/4 - 2*y**3 - 4*y**2 + 2*y - 129. Suppose 0 = -s + 15 - 1. Let c be (21 - 23)*s/(-4). Determine k(c). -5 Let c(x) = -3948 + 3919 + x**2 - 8*x + 4*x. Give c(9). 16 Let t(r) = 17*r + 252. Let n(j) = 52*j + 745. Let v(y) = -3*n(y) + 8*t(y). What is v(-11)? 1 Let w(z) = z + 17 + 14 + 26 - 53. Let p = 4 - 2. Suppose -p*d = -3*d - 7. What is w(d)? -3 Let r(x) = x**3 + 2*x**2 - x + 7. Let y be ((-6)/(-5))/((-16)/28*(-28)/(-40)). Determine r(y). 1 Let x(j) = 9*j + 1. Suppose 25*q = 22*q - 462. Let v = q + 152. What is x(v)? -17 Let d(h) = 21*h**2 + 524*h - 29. Let n be d(-25). Let k(a) = -34*a - 133. Give k(n). 3 Let i(p) be the third derivative of p**5/60 + p**3/3 + 9*p**2. Suppose -12 - 91 - 11 = -38*l. Give i(l). 11 Let u(p) = 2*p - 12. Suppose 5*t - 7 = -12. Let w(n) = -4. Let s(a) = t*u(a) + 6*w(a). Determine s(-11). 10 Suppose 5*g = -2*d - 173, 17 = -d - 5*g - 82. Let q = -888 - -817. Let u = d - q. Let k(l) = -l**3 - 5*l**2 - 3*l + 1. Calculate k(u)
{ "pile_set_name": "DM Mathematics" }
f 10777? 13, 829 What are the prime factors of 1130? 2, 5, 113 List the prime factors of 12939. 3, 19, 227 What are the prime factors of 20282? 2, 10141 List the prime factors of 1743. 3, 7, 83 What are the prime factors of 1759? 1759 List the prime factors of 15549. 3, 71, 73 What are the prime factors of 6964? 2, 1741 What are the prime factors of 1289? 1289 List the prime factors of 2088. 2, 3, 29 What are the prime factors of 59211? 3, 17, 43 List the prime factors of 102683. 7, 14669 List the prime factors of 136025. 5, 5441 List the prime factors of 8934. 2, 3, 1489 List the prime factors of 742. 2, 7, 53 List the prime factors of 2472. 2, 3, 103 List the prime factors of 15087. 3, 47, 107 What are the prime factors of 565? 5, 113 What are the prime factors of 1959? 3, 653 List the prime factors of 129347. 129347 List the prime factors of 578. 2, 17 What are the prime factors of 17235? 3, 5, 383 What are the prime factors of 91388? 2, 11, 31, 67 List the prime factors of 18936. 2, 3, 263 What are the prime factors of 119196? 2, 3, 7, 11, 43 What are the prime factors of 16134? 2, 3, 2689 List the prime factors of 2458. 2, 1229 What are the prime factors of 6790? 2, 5, 7, 97 List the prime factors of 10889. 10889 List the prime factors of 7771. 19, 409 What are the prime factors of 18508? 2, 7, 661 What are the prime factors of 91904? 2, 359 List the prime factors of 10143. 3, 7, 23 What are the prime factors of 983? 983 What are the prime factors of 3561? 3, 1187 What are the prime factors of 1286? 2, 643 List the prime factors of 14057. 14057 What are the prime factors of 413? 7, 59 What are the prime factors of 2282? 2, 7, 163 List the prime factors of 87278. 2, 17, 151 What are the prime factors of 77268? 2, 3, 47, 137 What are the prime factors of 5242? 2, 2621 List the prime factors of 525. 3, 5, 7 What are the prime factors of 44842? 2, 7, 3203 What are the prime factors of 1079? 13, 83 What are the prime factors of 43465? 5, 8693 What are the prime factors of 24249? 3, 59, 137 What are the prime factors of 1052? 2, 263 List the prime factors of 501. 3, 167 What are the prime factors of 34256? 2, 2141 What are the prime factors of 2124? 2, 3, 59 List the prime factors of 4. 2 What are the prime factors of 3376? 2, 211 List the prime factors of 1774. 2, 887 List the prime factors of 27519. 3, 9173 List the prime factors of 2174. 2, 1087 What are the prime factors of 23177? 7, 11, 43 What are the prime factors of 1635? 3, 5, 109 List the prime factors of 4821. 3, 1607 What are the prime factors of 59221? 59221 List the prime factors of 13168. 2, 823 List the prime factors of 2647. 2647 What are the prime factors of 57452? 2, 53, 271 List the prime factors of 1226. 2, 613 List the prime factors of 21965. 5, 23, 191 What are the prime factors of 24940? 2, 5, 29, 43 What are the prime factors of 45197? 45197 List the prime factors of 8883. 3, 7, 47 List the prime factors of 1311. 3, 19, 23 List the prime factors of 39523. 11, 3593 What are the prime factors of 32859? 3, 1217 What are the prime factors of 2101? 11, 191 What are the prime factors of 90996? 2, 3, 7583 What are the prime factors of 6157? 47, 131 What are the prime factors of 1159? 19, 61 What are the prime factors of 3352? 2, 419 What are the prime factors of 1479? 3, 17, 29 List the prime factors of 4061. 31, 131 List the prime factors of 9122. 2, 4561 What are the prime factors of 767? 13, 59 List the prime factors of 12896. 2, 13, 31 What are the prime factors of 15425? 5, 617 List the prime factors of 93. 3, 31 What are the prime factors of 787? 787 List the prime factors of 69790. 2, 5, 7, 997 What are the prime factors of 23534? 2, 7, 41 What are the prime factors of 2138? 2, 1069 List the prime factors of 51257. 51257 List the prime factors of 15777. 3, 1753 What are the prime factors of 1749? 3, 11, 53 What are the prime factors of 1307? 1307 List the prime factors of 8770. 2, 5, 877 List the prime factors of 10929. 3, 3643 What are the prime factors of 21? 3, 7 What are the prime factors of 298? 2, 149 What are the prime factors of 8042? 2, 4021 List the prime factors of 1970. 2, 5, 197 What are the prime factors of 20454? 2, 3, 7, 487 List the prime factors of 24285. 3, 5, 1619 List the prime factors of 2843. 2843 List the prime factors of 365. 5, 73 What are the prime factors of 26738? 2, 29, 461 What are the prime factors of 1939? 7, 277 List the prime factors of 46698. 2, 3, 43, 181 List the prime factors of 79224. 2, 3, 3301 What are the prime factors of 6663? 3, 2221 What are the prime factors of 2031? 3, 677 List the prime factors of 1650. 2, 3, 5, 11 What are the prime factors of 450? 2, 3, 5 What are the prime factors of 4953? 3, 13, 127 List the prime factors of 14662. 2, 7331 What are the prime factors of 317? 317 List the prime factors of 3826. 2, 1913 List the prime factors of 5253. 3, 17, 103 What are the prime factors of 650? 2, 5, 13 List the prime factors of 5237. 5237 What are the prime factors of 21122? 2, 59, 179 What are the prime factors of 1850? 2, 5, 37 List the prime factors of 1368. 2, 3, 19 What are the prime factors of 1409? 1409 List the prime factors of 40716. 2, 3, 13, 29 List the prime factors of 4349. 4349 List the prime factors of 1287. 3, 11, 13 List the prime factors of 2371. 2371 What are the prime factors of 1614? 2, 3, 269 List the prime factors of 128. 2 What are the prime factors of 1602? 2, 3, 89 List the prime factors of 110217. 3, 36739 List the prime factors of 554. 2, 277 List the prime factors of 15949. 41, 389 List the prime factors of 150836. 2, 7, 5387 List the prime factors of 1061. 1061 What are the prime factors of 75891? 3, 41, 617 What are the prime factors of 1362? 2, 3, 227 List the prime factors of 25509. 3, 11, 773 What are the prime factors of 41959? 41959 What are the prime factors of 4370? 2, 5, 19, 23 List the prime factors of 9. 3 List the prime factors of 2220. 2, 3, 5, 37 What are the prime factors of 9614? 2, 11, 19, 23 What are the prime factors of 32409? 3, 13, 277 List the prime factors of 4800. 2, 3, 5 What are the prime factors of 1695? 3, 5, 113 What are the prime factors of 1782? 2, 3, 11 List the prime factors of 24961. 109, 229 List the prime factors of 4616. 2, 577 What are the prime factors of 1298? 2, 11, 59 What are the prime factors of 598? 2, 13, 23 List the prime factors of 2199. 3, 733 What are the prime factors of 2085? 3, 5, 139 What are the prime factors of 934? 2, 467 List the prime factors of 79. 79 What are the prime factors of 462? 2, 3, 7, 11 What are the prime factors of 101533? 101533 List the prime factors of 1959. 3, 653 List the prime factors of 8590. 2, 5, 859 What are the prime factors of 25995? 3, 5, 1733 List the prime factors of 29482. 2, 14741 List the prime factors of 13966. 2, 6983 List the prime factors of 61817. 7, 8831 What are the prime factors of 301? 7, 43 List the prime factors of 20693. 20693 List the prime factors of 86252. 2, 21563 List the prime factors of 14986. 2, 59, 127 List the prime factors of 1565. 5, 313 List the prime factors of 1504. 2, 47 What are the prime factors of 46266? 2, 3, 11, 701 What are the prime factors of 17344? 2, 271 List the prime factors of 1475. 5, 59 List the prime factors of 3193. 31, 103 What are the prime factors of 2167? 11, 197 List the prime factors of 135137. 337, 401 What are the prime factors of 2720? 2, 5, 17 What are the prime factors of 11532? 2, 3, 31 List the prime factors of 23262. 2, 3, 3877 List the prime factors of 6855. 3, 5, 457 What are the prime factors of 18140? 2, 5, 907 What are the prime factors of 16372? 2, 4093 List the prime factors of 7916. 2, 1979 List the prime factors of 655. 5, 131 List the prime factors of 833. 7, 17 List the prime factors of 36544. 2, 571 What are the prime factors of 12512? 2, 17, 23 What are the prime factors of 3168? 2, 3, 11 What are the prime factors of 1770? 2, 3, 5, 59 List the prime factors of 3781. 19, 199 List the prime factors of 21547. 29, 743 What are the prime factors of 908? 2, 227 What are the prime factors of 583? 11, 53 List the prime factors of 527. 17, 31 List the prime factors of 94. 2, 47 What are the prime factors of 488? 2, 61 List the prime
{ "pile_set_name": "DM Mathematics" }
rivative of -a**4/12 + 11*a + 6. Let t(i) be the first derivative of m(i). Let r(s) = 7*s**2. Calculate r(t(k)). 7*k**4 Let c(g) = -7*g. Let u(m) = -21*m + 2816. Determine u(c(j)). 147*j + 2816 Let h(y) = -y - 4. Let s(i) = -i - 9. Let r(d) = 9*h(d) - 4*s(d). Let a(q) = 5*q + 0*q - 2*q. Give a(r(p)). -15*p Let n(h) = -2*h**2. Let j(v) = 210611*v**2. Calculate n(j(k)). -88713986642*k**4 Let z(q) = 67*q + 25. Let m(p) = -16*p - 6. Let w(f) = -25*m(f) - 6*z(f). Let h(b) = 119*b. Determine h(w(j)). -238*j Let w(c) = -98*c**2. Let q(r) = 20*r + 25*r + 22*r - 68*r. Calculate w(q(x)). -98*x**2 Let f(a) = -19*a**2. Let h(d) = 2364*d. Determine h(f(q)). -44916*q**2 Let v(t) = 4*t - 3*t - 3*t. Let y(h) be the first derivative of 12*h**2 + 567. Give v(y(p)). -48*p Let c(s) = -44*s + 6. Let o(w) = -11*w**2 + 26*w**2 - 14*w**2 - 3*w**2. Determine o(c(t)). -3872*t**2 + 1056*t - 72 Let m(g) be the second derivative of 7*g**3/3 + 475*g. Let x(f) = 14*f. Calculate m(x(z)). 196*z Let r(o) = o**2. Let j(m) = -2*m - 2. Let s(t) = 6*t + 25. Let a(k) = 2*j(k) + s(k). Give r(a(v)). 4*v**2 + 84*v + 441 Let a(i) = -7110*i - 4*i**2 + 0*i**2 + 7110*i + 5*i**2. Let g(x) = 554*x**2. What is a(g(r))? 306916*r**4 Let m(q) = -4*q. Let i(d) = -d**2 - 101*d. Determine i(m(z)). -16*z**2 + 404*z Let t(m) = -9357 + 9*m**2 + 9357. Let j(l) = 4*l. Determine t(j(v)). 144*v**2 Let s = 5 - -6. Let z(y) = s - 2*y**2 + 6*y**2 - 11. Let v(p) = p - 5. Let k(u) = u - 3. Let n(x) = 5*k(x) - 3*v(x). What is n(z(q))? 8*q**2 Let y(v) = v**2. Let l(f) be the first derivative of 0*f - 38/3*f**3 + 0*f**2 - 35. Calculate l(y(u)). -38*u**4 Let x(c) = -214*c**2. Let l(u) = 2*u**2 + u. Let d(w) = 12*w**2 + 5*w. Let t(v) = -d(v) + 5*l(v). Calculate x(t(k)). -856*k**4 Let b(a) = -3*a**2 + 92*a. Let j(c) = -12*c**2. Determine b(j(o)). -432*o**4 - 1104*o**2 Let u(l) = -2*l. Let k(s) = -129*s**2 + 157*s. What is u(k(a))? 258*a**2 - 314*a Let p(i) = 22*i + i + 12*i. Let l(r) be the third derivative of -r**6/360 + 11*r**3/2 + 34*r**2. Let g(t) be the first derivative of l(t). Calculate p(g(k)). -35*k**2 Let f(t) = -3*t. Let q(w) = 4*w**2 - 10*w. Let k(a) = a**2 - 3*a. Let o(b) = -20*k(b) + 6*q(b). Give o(f(g)). 36*g**2 Let g(k) = -96*k. Let y(l) = 23698*l. Give y(g(f)). -2275008*f Let j(b) = 3*b**2 - 68. Let k(m) = -m**2 + 24. Let y(a) = 6*j(a) + 17*k(a). Let i(c) = 20*c**2. Calculate i(y(s)). 20*s**4 Let p(g) = g**2. Let u(y) be the second derivative of -185*y**4/12 + 9*y - 19. Give u(p(a)). -185*a**4 Let r(i) = -120*i**2. Let u(q) = 438*q**2. Determine r(u(y)). -23021280*y**4 Let m(o) be the first derivative of 0 - 2 - o**3 + 1 + 5. Let y(q) = 6*q**2. Let f(x) = -2*x**2. Let a(u) = 17*f(u) + 6*y(u). Determine m(a(b)). -12*b**4 Let j(g) = 16*g**2 + 16*g - 17. Let o be j(-7). Let r(q) = -655 + 2*q + o. Let h(b) = 5*b - 5. Determine h(r(u)). 10*u - 5 Let x(t) be the first derivative of 2*t**3 + 1. Let a(j) = -j**2 - 14*j - 6. Let s be a(-7). Let u(b) = -43*b + s*b - b**2. Determine u(x(m)). -36*m**4 Let q(y) = 727*y - 7. Let r(a) = a. Give q(r(p)). 727*p - 7 Let d(y) = 562*y**2 + 6. Let p(v) = -3*v. Calculate p(d(t)). -1686*t**2 - 18 Let m(x) = -3*x. Let v(j) = j**2 + 1. Let b(q) = -18*q**2 - 7. Let f(y) = 2*b(y) + 14*v(y). Give m(f(c)). 66*c**2 Let j(r) = -1047*r - 9. Let f(l) = 7326*l + 66. Let u(q) = -3*f(q) - 22*j(q). Let t(z) = z. Determine t(u(w)). 1056*w Let t(b) = -b**3 - 3*b**2 + 5*b - 4. Let x be t(2). Let d(u) = 4*u - 7. Let g(z) = -z + 2. Let k(c) = x*g(c) - 4*d(c). Let o(a) = -8*a. Calculate k(o(y)). 16*y Let r(j) = -144*j. Let t(d) = -5*d**2 - 4*d + 4. Let q(b) = 11*b**2 + 9*b - 9. Let m(h) = -4*q(h) - 9*t(h). Give m(r(k)). 20736*k**2 Let j(a) = -a. Let w be -1*(-42)/7 - 1. Let l(z) be the first derivative of 0*z - 3/2*z**2 - w. Calculate j(l(s)). 3*s Let k(l) = -3*l**2. Let m(x) = x + 1. Let z be (1/3)/((-2)/(-6)). Let o(q) = q + 153*q**2 + 2*q - 155*q**2 + 3. Let f(g) = z*o(g) - 3*m(g). Calculate f(k(r)). -18*r**4 Let c(v) be the second derivative of 13*v**3/6 - 36*v. Let i(a) = 7*a**2. What is i(c(h))? 1183*h**2 Let t(c) = -1461*c. Let m(b) = -71*b**2 + 2. Determine t(m(f)). 103731*f**2 - 2922 Let v(o) = 4590 - 4590 - 3*o**2. Let f(q) = 36*q**2. Calculate f(v(j)). 324*j**4 Let f(w) = 9*w**2 - 2. Let r(m) = -2573*m. Calculate r(f(g)). -23157*g**2 + 5146 Let w(d) = 704*d**2 + 47*d. Let f(j) = -j. What is f(w(x))? -704*x**2 - 47*x Let d(t) = -8*t. Let g(o) = -282650*o. What is g(d(r))? 2261200*r Let m(p) = -2077*p. Let j(x) = 9*x. What is j(m(c))? -18693*c Let y(i) = -5*i. Let t(o) = o. Let j be (0 - (-12)/(-4))*1. Let h(d) = j*y(d) - 3*t(d). Let q(c) = -3*c**2. Give q(h(u)). -432*u**2 Let f(r) = -13*r**2. Let j(l) be the second derivative of l**4/6 + 13*l**2 - 9*l. Let z(o) be the first derivative of j(o). What is f(z(m))? -208*m**2 Let v(m) = 470*m + 473*m - 1420*m + 475*m. Let o(i) be the third derivative of -7*i**4/12 + 3*i**2. What is v(o(b))? 28*b Let r(b) = -121*b + 1. Let m(a) be the third derivative of -3*a**5/20 - a**2 - 475. Calculate r(m(s)). 1089*s**2 + 1 Let y(z) = -2*z. Let s(r) = -5*r - 12. Let h be s(-6). Let u(p) = 2 - 16*p**2 + h*p**2 - 2. Give u(y(n)). 8*n**2 Let f(n) = 4*n**2. Let o(v) be the second derivative of v**3/2 - 4*v**2 - 7*v. Give o(f(p)). 12*p**2 - 8 Let b(q) = -q. Let j be (-3)/(-15) - 42/(-15). Let d(w) = -4*w. Let l(t) = j*d(t) - 14*b(t). Let p(r) = 19 - 19 - 3*r. Give l(p(s)). -6*s Let z(j) be the second derivative of 13*j**4/12 - j**3 + 660*j. Let m(h) = -h**2. Give m(z(y)). -169*y**4 + 156*y**3 - 36*y**2 Let y(u) = u + 9 + 0*u - 9. Let z be (8/10)/(2/5). Let c(s) = 32 - z*s - 32. What is c(y(j))? -2*j Let t(l) = -126*l**2. Let o(y) = -347*y - 11. Calculate o(t(d)). 43722*d**2 - 11 Let m(z) = 0 + 9*z - 12*z + 0. Let a(p) be the first derivative of -p**5/60 - 2*p**3/3 - 2. Let q(w) be the third derivative of a(w). Calculate q(m(t)). 6*t Let m(b) = -13*b**2. Let d(w) = -3540*w. Determine m(d(g)). -162910800*g**2 Let h(j) be the first derivative of -5 + 0*j**2 + 1/24*j**5 + 0*j**4 + j**3 + 0*j. Let m(k) be the third derivative of h(k). Let x(n) = 3*n. Calculate x(m(q)). 15*q Let a(l) be the first derivative of 24 + 1/2*l**2 + 0*l. Let q(s) = -4*s. Give q(a(p)). -4*p Let b(x) be the first derivative of -5*x**2 + 3 + 4*x**2 + 8 - 5*x**2. Let u(a) = -3*a**2. Determine b(u(j)). 36*j**2 Let w(g) = g**2. Let f = 18 + -12. Let p(a) = -5*a - f*a - 5*a + 15*a. Determine w(p(c)). c**2 Let i(n) = 11*n + 4*n - 36*n + 9*n + 11*n. Let v(z) = -6*z + 7. Calculate i(v(h)). 6*h - 7 Let l(q) = -187*q. Let h(c) = -32194*c**2. What is h(l(s))? -1125791986*s**2 Let j(z) = -5*z**2 - 10*z + 5. Let i(f) = 28*f**2 + 48*f - 24. Let b(a) = 5*i(a) + 24*j(a). Let p(d) = 18*d**2. Calculate p(b(r)). 7200*r**4 Let v(u) = -u**2 - 2. Let r(c) = -4*c**2 - 6. Let k(f) = -2*r(f) + 6*v(f). Let j(m) = 133*m**2. Determine k(j(z)). 35378*z**4 Let h(t) = 3*t. Let f(w) be the second derivative of 0*w**3 + 0*w**2 - 5/6*w**4 + 0 + 15*w. Calculate h(f(c)). -30*c**2 Let q(s) = -s**2. Suppose 17*a = 9*a + 64. Let p(o) = 6*o - a*o - 5*o. What is q(p(k))? -49*k**2 Let u(l) be the first derivative of 2*l**3/3 - 61. Let r(m) = -16*m**2. Calculate u(r(w)). 512*w**4 Let d(k) = 5274*k + 1. Let v(f) = -2*f**2. Calculate v(d(q)). -55630152*q**2 - 21096*q - 2 Let a(v) be the second derivative of -2*v**3/3 + v + 5. Let i(t) = -85*t. Give a(i(g)). 340*g Let r(g) = -5*g - 52. Let d(f) = -f - 13. Let l(o) = 9*d(o) - 2*r(o). Let s(v) = -v**2. Give s(l(x)). -x**2 + 26*x - 169 Let j(v) = v**2 - 2*v + 2. Let l(h) = 2*h**2 - 5*h + 5. Let z(k) = 5*j(k) - 2*l(k). Let w(g) = -21*g**2. Determine w(z(b)). -21*b**4 Let j(z) = -41*z**2. Let t(i) = 7*i + i - 8*i - 4*i**2. Calculate t(j(a)). -6724*a**4 Let q(o) = -2*o. Let l(v) = -v**2 + 10 - 13 - 2*v**2 - 37. Determine l(q(g)). -12*g**2 - 40 Let n(m) = 6564*m - 1. Let l(a) = -2*a. Determine l(n(d)). -13128*d + 2 Let q(t) = 48*t**2 + 26*t**2 - 175*t**2 + 38*t**2 - 205*t**2. Let w(a) = -2*a. Give w(q(l)). 536*l**2 Let g = -6 - -11. Let q(o) = g*o**2 - 4*o**2 + 6*o**2. Let d(v) be the third derivative of v**5/30 + 481*v**2. Give d(q(h)). 98*h**4 Let u(a) = 14*a**2. Let s(n) = -2196*n**2 - n. Calculate s(u(l)). -430416*l**4 - 14*l**2 Let t(h) = h. Let n(i) = 424*i + 20. Let g(z) = -14
{ "pile_set_name": "DM Mathematics" }
+ 9*x**4 - 24 + 24 to q*x**4 + g*x + v*x**2 + l*x**3 + b and give q. 10 Express 4*t**2 + 18*t**2 + 31*t**2 + 87*t**2 in the form y*t**2 + j + k*t and give y. 140 Express (1 - 1 + b)*(7 + 7 + 5)*(0*b**2 + 0*b**2 + b**2) in the form d + r*b**3 + q*b + c*b**2 and give r. 19 Express -6 - 54*n**2 + 29 + 53*n**2 - 2*n**4 as r + j*n**4 + y*n**2 + f*n + c*n**3 and give r. 23 Express 19*j + 1 + j + 45*j in the form d + b*j and give b. 65 Express -3*p**2 - 60 + 60 - 13*p**3 + 3*p**3 in the form o*p + q*p**3 + u + n*p**2 and give q. -10 Express 0*y + y + 69 + 95 - 221 as j + b*y and give b. 1 Express (25 + 8*d**3 - 25)*(-11 + 11 - d + (4 + 2 - 4)*(5 - 5 + 2*d)) as i*d**3 + k*d**2 + m + f*d**4 + l*d and give f. 24 Express u + 2*u + 2*u - 2*u as v + n*u and give v. 0 Rearrange (-2*r + r + 0*r)*(-5 + 3 + 3)*(-43*r**2 - 54*r**2 + 10*r**2) to the form h + g*r**2 + d*r**3 + f*r and give d. 87 Rearrange (4*o + o - 3*o)*((-3 + 4 + 1)*(1 + 0 - 2) - 3 - 2 + 4) - 3*o + 1 - 1 + (o + 3 - 3)*(-4 + 1 + 1) to the form r*o + f and give r. -11 Rearrange -1 + 1 - 2*d + (3*d - 2*d + 0*d)*(2 - 3 - 2) to w + t*d and give t. -5 Rearrange -36*r + 33*r + 2*r**4 + 0*r**2 + 2*r**2 + 2*r**4 + 3*r**3 to the form b + c*r + v*r**4 + m*r**3 + u*r**2 and give v. 4 Rearrange 2*i**2 + i + 10*i**2 - i to k*i**2 + a + n*i and give k. 12 Express 5*y**4 + 0*y**4 + 10*y**4 + (-2*y + 2*y - 2*y**3)*(2 - 2*y - 2) + y - y + y**4 as n*y**2 + z + p*y**4 + v*y**3 + b*y and give p. 20 Express (1 - 2 + 2 - 15*x)*(-4 - 1 + 1) as p*x + t and give t. -4 Rearrange -2 - w + 2*w**3 - 4*w**3 - 3*w**3 + w**3 to the form k*w + d*w**3 + p*w**2 + v and give d. -4 Rearrange -y + 6*y + 0*y + (y - y + 2*y)*(-6 + 4 + 3) to the form f*y + p and give f. 7 Rearrange -3*m + 2*m - 3*m**2 + m to p + r*m**2 + y*m and give r. -3 Rearrange -13*b + 1 + 2*b**3 + 8*b + 0 + 3 to the form g*b + k*b**3 + r + p*b**2 and give r. 4 Express 3 - 3*x**2 + 9*x**3 + 3*x - 1 - 3*x in the form v*x + d + r*x**2 + q*x**3 and give r. -3 Express 0*u - 53*u**2 - u + 19*u**2 in the form l*u**2 + a + s*u and give s. -1 Rearrange (5*w**2 + 0*w**2 - 3*w**2)*(39*w - 70*w + 30*w + 91) to the form z + h*w + n*w**2 + p*w**3 and give z. 0 Express a - 4*a + a + (0*a + 0*a - 2*a)*(-6 + 3 - 9) in the form j*a + o and give j. 22 Express -4*z + 18*z + 1 - 1 as h + j*z and give j. 14 Express (-4*z + 4*z + z)*(2 - 3 + 0 + 3 - 5 + 3 + (-2 + 0 + 3)*(2 - 3 - 1) + 2 + 0 - 1) in the form i*z + y and give i. -1 Express (0 + 0 + 2*b + 6*b - b + b + (-2*b + 5 - 5)*(-3 + 1 + 1))*(0*b**3 + 0*b**3 + 2*b**3) in the form c*b**3 + l + v*b**4 + k*b**2 + q*b and give v. 20 Rearrange (2*s - 6*s - 7*s)*(-5 + 1 + 0) - s - 1 + 1 + (-s + 1 - 1)*(-1 - 2 + 1) + 4*s - s - 2*s to the form h + n*s and give n. 46 Rearrange 3*o + 0*o + 137 - 139 to w*o + p and give w. 3 Express (2*l**2 + 3 - 3)*(-1 - l**2 + 1) - 104*l**4 - 81*l**4 + 68*l**4 in the form u*l**3 + n*l + v*l**2 + a + p*l**4 and give a. 0 Express 4*y - 3*y - 2*y**2 + y + y as f*y**2 + x + n*y and give n. 3 Rearrange (0*r - 7*r + 2*r)*(-1 - 16*r + 7*r - 2) to k*r**2 + z*r + j and give z. 15 Express -3*b + 4*b + 11*b**2 - 2*b - 4*b**2 + 2 as a + z*b + j*b**2 and give z. -1 Rearrange -112*s + 4*s**3 - s**3 + 2*s**2 + 109*s to the form b + w*s + d*s**2 + o*s**3 and give d. 2 Express 3 - n**2 - 23*n + n**2 - 4*n**3 + 24*n + n**4 as k*n + w + l*n**3 + p*n**2 + m*n**4 and give k. 1 Express 139*i + 26 - 54 + 28 as j + k*i and give k. 139 Express -2*o**3 - 3*o**3 + o**3 + 0*o + 1 - 2*o**2 + 7*o as i*o**3 + v*o**2 + w*o + t and give v. -2 Express (6 - 4 - r - 1)*(0 + 0 + 2)*(0 + 0 + r) as p + b*r**2 + m*r and give b. -2 Rearrange (-s - 73 + 73)*(-s**2 - 2*s**2 + s**2) to the form q*s**2 + o*s**3 + u*s + j and give o. 2 Rearrange (-f**2 + 0*f + 0*f)*(4 - 5 - 2)*(-2 + 3 + 0)*((3 + 1 - 5)*(-4 + 4 + 1) + 1 - 3 - 3) to the form i + k*f**2 + d*f and give k. -18 Express 4*v - 2*v**3 - 2*v**4 + 0*v**4 + 0*v**4 + 4*v**3 in the form c + y*v**2 + r*v + q*v**3 + n*v**4 and give n. -2 Rearrange (3 - 2 + 3)*(-3*q + 4*q + 2*q) + 0*q + 0*q + q + q - q - q + (2*q - 6*q + 2*q)*(2 - 4 + 4) to the form u + o*q and give o. 8 Express (2*c + 2*c - 3*c)*(0 + c + 0) + 3*c**2 + 3*c - 3*c + 3736*c - 95*c**2 - 3736*c in the form p*c + d + q*c**2 and give q. -91 Express (-31*t + 25*t - 11*t)*(0*t + 0*t + 2*t**3) + 2 + t**4 - 2 as u*t + z*t**3 + i*t**2 + q + y*t**4 and give z. 0 Express 247*s - 247*s - 11*s**3 + 0*s**3 - 2*s**2 as d*s + g*s**2 + f + a*s**3 and give a. -11 Express v - v + 2*v + (-2 + 1 + 2)*(-5*v + 5 + 7*v - 9) in the form g + a*v and give a. 4 Express -2 - 9*w + 3*w + 2 in the form l*w + a and give l. -6 Express -3 - 3*x - x**2 - 10*x**4 + x + 7*x**4 in the form f + v*x + c*x**4 + y*x**2 + m*x**3 and give f. -3 Express -13*g - 70*g - 17*g - 45*g in the form o*g + n and give n. 0 Rearrange (-t + 0*t + 0*t)*(-7 + 2 + 4 - 3*t) to the form p*t**2 + a + g*t and give a. 0 Express (2*w + 0*w - 4*w)*(7*w**3 + 59*w**3 - 10*w**3) in the form d*w**2 + p*w**3 + o + k*w**4 + l*w and give k. -112 Express -6*c**2 + 0*c**3 - c**3 + 2*c**2 - 1 + 0*c**2 as s*c + y*c**3 + z + q*c**2 and give z. -1 Express 3*g**3 - 2*g - 9*g**3 - 3*g**3 + 4*g - 2*g**4 as h + v*g**4 + r*g**3 + o*g**2 + z*g and give v. -2 Rearrange 66*r + 0 + 0 - 70*r to the form d*r + u and give d. -4 Express -r - 227*r**2 + r**3 - 7*r + 227*r**2 as p + m*r**2 + y*r + b*r**3 and give m. 0 Express (7 + 15*k - 4 - 16*k)*(-4 + 1 + 1)*(-1 + 1 + 1) in the form z*k + q and give z. 2 Express -2*r + r + 2*r - 4 + 4 - 2*r + (2*r + 1 - 1)*(1 + 3 - 6) + (-10*r + 20*r - 8*r)*(0 - 1 + 2) in the form p*r + t and give p. -3 Rearrange (-2 + 0 - 2)*(5 - 6 - 1)*(3*h - 3*h + 2 + 2*h) to the form a + w*h and give w. 16 Express -3*m - 2*m + 3*m + (26 + 11*m - 26)*(0 - 1 - 2)*(-5 + 5 - 4) + 4*m - 3*m + m in the form a + f*m and give f. 132 Express 2*g**3 + 2*g**3 + 2 - 4*g**3 + 3*g**3 as s + v*g + p*g**2 + l*g**3 and give s. 2 Express 0*f**2 + 7 - 7 + 2*f**2 in the form a*f**2 + z*f + i and give a. 2 Rearrange -73 + 23 + 1125*o**2 - 1123*o**2 to j*o + w + i*o**2 and give i. 2 Express -47*i**3 + 9*i + 3*i - 13*i in the form a*i + p + z*i**2 + o*i**3 and give a. -1 Express (4*h + h - 4*h)*(h + h + 1 - 3*h) as m + k*h**2 + j*h and give j. 1 Express -8*p**2 + 3*p**2 + 4*p**2 + 10 in the form y*p**2 + c*p + g and give g. 10 Express (-225*t - 128*t - 173*t)*(0*t**2 - t**2 + 2*t**2) in the form y*t**3 + g*t**2 + a + u*t and give y. -526 Rearrange 4*s**4 - 3 - 2*s**3 - 3 + 1 + 6 to the form f*s**3 + n*s + u*s**2 + b*s**4 + o and give o. 1 Rearrange 7*c**2 - 5*c**3 - 4*c - 13*c**2 + 4*c to a*c**3 + o*c + p + k*c**2 and give a. -5 Rearrange (0 + 2*q + 0)*(0 + 4 + 1) + (3*q - q - 3*q)*(3 + 1 + 1) to n*q + l and give n. 5 Rearrange -578*w + 4 + 531*w - 4 to the form v*w + b and give b. 0 Express -4*s**3 - 10 + 8 + 5 in the form k*s**2 + o + u*s**3 + x*s and give o. 3 Rearrange (4 + 0 - 1)*(-3*z**3 + 2*z**3 + 3*z**3) + (z**3 - 2*z**3 + 2*z**3)*(0 + 0 - 2) to the form w*z**2 + h + y*z + t*z**3 and give w. 0 Rearrange 25*u - 124 + 124 to the form v + t*u and give t. 25 Express -9*p**2 + 12 + 6 - 18 as t*p**2 + d + v*p and give t. -9 Express (-384*t - 37*t**2 + 384*t)*(-5 + 5 - 2*t) in the form m + a*t**2 + q*t**3 + c*t and give q. 74 Express 8*a**3 + 11*a + 24*a**2 - 10*a - 21*a**2 in the form o*a**3 + l*a**2 + j + n*a and give l. 3 Express 2*p**3 + 2 - 2*p - 12*p**4 + 11*p**4 + 0*p**4 + 5*p**2 - 3*p**2 as g*p**3 + s*p**2 + i*p + r + n*p**4 and give i. -2 Rearrange 3522*f**3 - 3520*f**3 + 20*f - 1 + 0 to w*f**3 + r + y*f**2 + j*f and give r. -1 Rearrange 13*q**2 + 4 - 3 - 12*q**2 - q**4 + 1 + q**3 to p + u*q**4 + z*q**3 + y*q + s*q**2 and give p. 2 Express 1 - 1 - 20*p in the form n + v*p and give v. -20 Rearrange -1 - 2*q + 1 + (0 - 2 - 5)*(2*q + 2*q - 5*q) + 3*q - 3*q + q to o + k*q and give k. 6 Rearrange 2*r - 2*r + 274*r**2 - 278*r**2 to the form u*r**2 + x + p*r and give p. 0 Rearrange 4 - 4 + 18*z**2 to k + g*z + w*z**2 and give w. 18 Rearrange 4*p**2 + 2*p - 13*p**3 + 0*p - 2*p**2 to o*p**3 + g*p + n*p**2 + a and give a. 0 Rearrange (3*m - 3*m - 2*m**2)*(66*m - 66*m + 2*m**2) to u + c*m**4 + h*m**3 + d*m + s*m**2 and give c. -4 Express -17*p + 17*p + 13*p + 28*p in the form o*p + d and give o. 41 Rearrange 10*m**2 + 5*m**2 - 9
{ "pile_set_name": "DM Mathematics" }
*p + 39, -26 = 2*o + 2*p for o. -13 Solve -643*z + 644*z = -j + 11, -5*j = -4*z + 17 for z. 8 Solve 5*j + 25 = 10*b, -130 = -2*b - j - 135 for b. 0 Solve 0*h - 22 = 2*h + 64*c - 68*c, 0 = 5*c - 15 for h. -5 Solve -2*d + 15 = -5*q, -176*q = -180*q + d - 12 for q. -3 Solve 8 = o + 3*k, 5*k = 479*o - 476*o - 10 for o. 5 Solve q + 3 = -w, 35*w - 9 = 37*w + q for w. -6 Solve -4*i = 20, -4*h - 31*i - 14 = -33*i for h. -6 Solve 7*x - 115 = -2*r - 90, r = -2*x + 8 for r. 2 Solve 0 = -4*k + 353*d - 350*d - 20, 25 = -5*k - 3*d for k. -5 Solve 1964*r - 1965*r = -3*j + 22, 5*j = -13*r + 110 for j. 9 Solve 4 = 4*b + 4*k, 25*b - 26*b = -k - 1 for b. 1 Solve 5*m - 10 - 28 = 2*c, -c = 4 for m. 6 Solve 28*x = -j + 25*x + 4, 5*j - 6 = -x for j. 1 Solve 3*w - 5*h = 10, -1307*w = -1298*w - 3*h + 30 for w. -5 Solve -3*p + 28*l - 33*l = 16, -3*p + 34 = -5*l for p. 3 Solve 0 = 4*t + 15*u - 18*u - 4, -3 = -3*t + 4*u for t. 1 Solve -3*z = 3*l + 15, 5*z + 36*l - 38*l + 11 = 0 for z. -3 Solve 14 = -0*h - 7*h, -h - 50 + 25 = 5*k - 53 for k. 6 Solve -2*b - 5*j = -74, j - 660 + 641 = b for b. -3 Solve -4 - 1 = -3*l - u + 4, 3*l + 4*u = 0 for l. 4 Solve c - b - 1 = 0, 23*c + 28*b = 18*c + 5 for c. 1 Solve 5*r + d = -717 + 730, -3*r + 4*d - 6 = 0 for r. 2 Solve 4*c - 29 = z, -11*c + 15 = -9*c - z for c. 7 Solve 20 = 2*f - 4*x + 22, 61 = 5*f + 12*x for f. 5 Solve -5*i = -3*w - 7, -2214*i + 2218*i = 4*w + 4 for w. 1 Solve -k = -v + 54 - 59, 4*k + 5*v - 11 = 0 for k. 4 Solve 4 + 4 = 4*x, 4131*x = -4*s + 4132*x + 14 for s. 4 Solve -4*f + 1 = -4*z - 0*f - 3, -2*z = -4*f + 14 for z. 5 Solve -4*p - 90*k - 2 = -89*k, 0*k - 6 = 4*p + 3*k for p. 0 Solve 4*x - 20 = 0, 5*n - 9*n + 5*x = 37 for n. -3 Solve 3*m + 30 = -5*f, 13 - 1 = -2*f for m. 0 Solve 4 = -872*k + 873*k + 4*g, g = -2*k - 6 for k. -4 Solve 818*t - 814*t + 3*v = -5, 2*v + 2 = -3*t for t. 4 Solve 4*f = -4*n, 4*n - 365*f + 368*f - 5 = 0 for n. 5 Solve 4*m + 31 - 19 = 0, -69*p + 2*m = -71*p - 8 for p. -1 Solve 2*f - 28 = 31*h - 35*h, 5*h - 33 = -2*f for h. 5 Solve 4*b = -4*u + 48, 10*u = 3*b - 590 + 736 for u. 14 Solve 2*m = -5*u - 189, -4678*u + 66 = -4680*u + 4*m for u. -37 Solve 0 = -3*a - 2*s + 25, 3*s + 1561 = 2*a + 1566 for a. 5 Solve -18*p = 2*a + 92, 303*a = 302*a - 5*p - 26 for a. -1 Solve 2*r + 32 = y + 4*y, -15 = -3*r - 3*y for r. -1 Solve 20 = -10*o + 3*o + 3*o, -k = -2*o - 9 for k. -1 Solve 9*z + 45 = 5*a, -9*z - 2*a - 10 = -7*z for z. -5 Solve 4*i + 12 = -6*z - 52, 5*i + 69 = -2*z for z. -2 Solve 15*c + 2 = 14*c, 3*c = -k - c - 7 for k. 1 Solve -2*y - 40 = 4*x, 9*x - 5*x - 10 = 3*y for y. -10 Solve 2*y - 6 - 2 = 0, -3*y - 143 + 103 = 4*j for j. -13 Solve 9 = 3*z - 11*k, -2*z + 6 = -0*z + k for z. 3 Solve 0 = f - 283*g + 285*g - 13, 25 = -5*f + 41*g - 36*g for f. 1 Solve 5*q + 3*o = -2, 14 = -3*q - 9*o + 4*o for q. 2 Solve 0 = 2*y - z + 4, -3*y + 4*z - 236 + 225 = 0 for y. -1 Solve 4*k + 18 - 10 = -y, 7*k = -2*y - 14 for k. -2 Solve s = 315*r - 309*r - 13, -2*s + 3*r = 8 for s. -1 Solve 4*i = -21*x + 20*x + 47, -i = x - 11 for i. 12 Solve -5*w + t + 5621 = 5643, 4*t - 12 = w for w. -4 Solve -b + 21 = 3*b + 5*v, 4*v = 4*b + 6 + 18 for b. -1 Solve -5*k + 5*r - 29595 = -29630, 3*r = 4*k - 33 for k. 12 Solve 5*w = -3*r - 1, -5*r = -9*r + 2*w + 16 for r. 3 Solve n - 7*n - 24 = -2*z, 4*z = 3*z for n. -4 Solve 4*d = -4*f + 16, 0 = 67*f - 63*f + 2*d - 6 for f. -1 Solve 7*a - 3*j + 16 = 2*a, 50*j - 48*j + 21 = -3*a for a. -5 Solve -2*x = -r + 5, -29*x + 3*r - 6 = -26*x for x. -3 Solve 3*l + 68*k = 69*k - 13, -2*k + 24 = 10 for l. -2 Solve -466 = -3*q + 4*x - 437, 13*q + x = 144 for q. 11 Solve i - 2*g = 18, -1 = 3*i - 4*g - 41 for i. 4 Solve 0 = -g - x + 13, -4*x + 947 - 892 = 5*g for g. 3 Solve -4*n - 20 = -z, -4*z + 32 = -19*n + 15*n for n. -4 Solve -4*o + 50*g - 74 = 51*g, 3*o + 55 = -g for o. -19 Solve 0 = -2*r + k + 12, 0 = -34*r + 42*r - 6*k - 52 for r. 5 Solve 12*g + 2*y = 152, -3*g - 5 + 29 = -3*y for g. 12 Solve -3*l - 791 = 3*s - 764, s + 2*l = -11 for s. -7 Solve -28*f + 115 = -3*t, 66*f + 5*t + 17 = 69*f for f. 4 Solve -18 = -5*f - 4*z, -2358*z = -5*f - 2354*z + 2 for f. 2 Solve 80*h - 77*h - 101 = 49*k, 2*k + h = -3 for k. -2 Solve 0 = 5*u + 4*c + 14, 0 = -4*u + 4*c + 15 + 17 for u. 2 Solve 6 = 4*k + 6*a, 0*a + 1 = a - 2 for k. -3 Solve -22*o = 3*f - 21*o + 32, 2*o + 96 = -14*f for f. -4 Solve 0 = 3*u + 127*n - 123*n + 36, 4*u = 3*n - 73 for u. -16 Solve k = -3*k + 4, -3*u - 25 = -64*k + 42*k for u. -1 Solve 4*y = -16, 360*i + 3*y = 362*i - 10 for i. -1 Solve 7 = 3*n + 5*m, -482*n - 52 = -486*n + 4*m for n. 9 Solve 6509*u - 6 = 6514*u - 3*b, -22*u = -b + 63 for u. -3 Solve -5*y = -p + 29, -p + 38 = -4*y + 14 for p. 4 Solve -4*j - 7 = 5*n, 3*n - 2*j + 10 = n for n. -3 Solve -2*a - 14 = 5*c, -54*c = -49*c + 4*a + 18 for c. -2 Solve x = r - 15, x - 155 + 176 = -5*r for r. -1 Solve -1148*f + 1147*f - 5*v = -13, -f = 22*v - 47 for f. 3 Solve -3 = 3*p - 3*s, 1069*p - 12 = 1073*p + 4*s for p. -2 Solve 50 = -5*g + 5*b, -323*g + 321*g = 5*b - 78 for g. 4 Solve -3*x + 5*s + 48 = 0, 44 = -x - 2195*s + 2190*s for x. 1 Solve 3*s - 2*q = 30, -11542*s + 11540*s - 8*q - 64 = 0 for s. 4 Solve 0*j + 16 = -3*c - 5*j, 6*c = -j - 56 + 42 for c. -2 Solve -2*c - 3*h + 2 = 0, 461*c - 2*h - 29 = 458*c for c. 7 Solve -687 = 3*k + 3*r - 684, 8 = -2*r for k. 3 Solve -551*q = -3*i - 549*q + 14, -i = -q - 6 for i. 2 Solve -4*x - 3*v = -12, -99 = x + 5*v - 119 for x. 0 Solve 0 = -4*n + 8*f - 7*f - 7, -4*n - 4 = -4*f for n. -2 Solve -400*j + 396*j - 24 = 4*g, j = 5*g for j. -5 Solve p + d = -32, 96*d + 89 = -7*p + 94*d for p. -5 Solve -5*i + 460*r = 462*r - 4, 0 = -i + 2*r - 28 for i. -4 Solve -12*k + 7*k + 3*o = -5, 0 = -k + 2*o + 1 for k. 1 Solve -2*o + 50 = 863*z - 857*z, -2*o = -20 for z. 5 Solve -4*i = 24488*j - 24491*j - 21, 2*j + 12 = 2*i for j. -3 Solve 0 = -3*s - 72, -22*d + 25*d = -4*s - 102 for d. -2 Solve 426*h - 2*a - 8 = 424*h, 0 = -h + 3*a + 2 for h. 5 Solve -5*i - 4*v = 44 - 36, -47*i + 3*v = 197 for i. -4 Solve 22 = -5*h + 7*k, 0 = 35*h - 33*h - 3*k + 9 for h. -3 Solve -5*g - 3*b = 37, g + 39*b - 61 = 42*b for g. 4 Solve -3*y = 3*m - 30 + 21, -3*y - 7*m + 17 = 0 for y. 1 Solve -4*q = -8, -34*g + 32*g = -5*q - 4 for g. 7 Solve -43 = 3*h + 140*a - 136*a, 0 = -2*h + 4*a + 18 for h. -5 Solve g + 376 = -5*u + 448, 0 = -5*g + 6*u - 105 for g. -3 Solve 5*k - 44*j + 39*j - 25 = 0, 5*j + 7 = -k for k. 3 Solve 2*g = -2*p - 16, 0 = p - 4*g + 77 - 69 for p. -8 Solve 3*s + 33 = 5*n, -5*s + 151*n - 152*n + 29 = 0 for s. 4 Solve 4*d + 30803 - 30819 = 0, 3*s - 87 = -3*d for s. 25 Solve 3*q + 13 = 1, 25*q = 4*v - 124 for v. 6 Solve 2*h - 26 = -2*i, 20*i = -5*h + 17*i + 49 for h. 5 Solve j + 346*a = 347*a + 7, -10 = -5*a for j. 9 Solve 5*y - 75 = 4*f - 94, -11*y = -3*f + 7 for y. 1 Solve 9*j + 5*k - 27 = 0, -3080*j = -3086*j - k + 18 for j. 3 Solve 4*g = -b + 5, -455*g = -457*g + 17*b + 55 for g. 2 Solve -10*p - 35 = -5*y, -5*p + 2*p + 5*y - 7 = 0 for p. -4 Solve 15 = -5*d, 3*v + 24 = -24*d + 26*d for v. -10 Solve 1001*d - 12 = -4*o + 1005*d, 2*o = -3*d + 1 for o. 2 Solve 0*c - 2*c = 3*i + 2, 5*i - 111 = -5*c - 111 for c. 2 Solve -7*q = -6*q, -5*x + 46 = 6*q - q + 16 for x. 6 Solve -3*r - 4*b + 1183 = 1210, -b - 23 = 4*r for r. -5 Solve 2*g = -3*w + 4, 0 = 2*w - g - 1 + 3 for w. 0 Solve -29*b + 4*p = -25*b + 16, 4*b = -2*p - 10 for b. -3 Solve -4*j = -4*d, 53*j - 29*j + 2 = 25*j - 3*d - 2 for j. -2 Solve 0 = 12*w - 4*k - 48, 350*w + 2*k + 18 = 354*w for w. 3 Solve -3*o - 1634*k + 1639*k = -15, -o - k = -5*k - 19 for o. -5 Solve 2756*i - 2755*i - 36 = 40*q, 4*q = 4*i + 12 for q. -1 Solve -2*l = 9358*o - 9361*o - 19, l = -3*o - 4 for l. 5 Solve -16*d - 4*q - 16 = 0, 3*d + 4*q + 0*q = -16 for d. 0 Solve 115*d - 118*d = w - 4, 0 = -5*d for w. 4 Solve 6*u - 5*g + 1 = 0, 0 = 3*u - g - 2*g for u. -1 Solve 5*t - 40 = 5*f, -93*t + 92*t + 4*f = -17 for t. 5 Solve 4*v + 68*t = 70*t + 18, 9 = v - 5*t for v. 4 Solve 2*s + 4*m + 8 = -2*s, 578 = 4*s - 7*m + 542 for s. 2 Solve -3*v + 9*p - 7*p - 2 = 0, -5*p - 18 = 4*v for v. -2 Solve 5*z + d - 4395 + 4382 = 0, 3*d = 5*z - 21 for z. 3 Solve 2*o + 4*b - 34 = 0, o = -5*b - 946 + 960 for o. 19 Solve x + 43*l + 40*l + 6 = 81*l, -3*x = -l - 10 for x. 2 Solve -20 = -5*b - 3*x, 6*b - 5*b - x - 4 = 0 for b. 4 S
{ "pile_set_name": "DM Mathematics" }