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increasing order. p, 2/23, 79 Let r = -29 + 33. Suppose -4*g - 8 = 5*c, -r*g - c + 0 = -8. Suppose 4*d = 4*l + 8, 0*l - g*d = 3*l. Sort l, 7, 1. l, 1, 7 Let d be (-2)/(-12)*(-14)/(56/(-18)). Sort -2/15, 1, 1/2, d in ascending order. -2/15, 1/2, d, 1 Let q be 24 + (2 - 14) - 8. Sort -5, q, 0, -0.3, 1. -5, -0.3, 0, 1, q Let d be 1388/68*(-53)/2. Let a = -541 - d. Put -2/9, -3/4, a in increasing order. -3/4, -2/9, a Let m = -2/11 - 7/22. Let s be -13*4*(-1)/(-48). Let i = -35/36 - s. Sort i, 0, m in increasing order. m, 0, i Let s = -0.14 - 2.86. Let i = 280 - 276. Let g = -0.48 - -0.18. Put g, i, -2, s in decreasing order. i, g, -2, s Suppose 16*j - 15 = 11*j, 0 = -4*o - 3*j + 29. Let g(t) = -t**2 - 6*t - 3. Let b be g(-6). Sort o, b, -10 in descending order. o, b, -10 Let b be 60/165 - 228/(-462). Sort -0.2, -2.3, 27, b in descending order. 27, b, -0.2, -2.3 Let d = -1169.5 + 1170. Sort 7, d, -7, 4/5 in descending order. 7, 4/5, d, -7 Let x(p) = -4*p**2 + 44*p - 3. Let m(t) = -5*t**2 + 43*t - 4. Let c(r) = 2*m(r) - 3*x(r). Let i be c(23). Sort 7, -7, i in decreasing order. 7, i, -7 Suppose 40*i = -307 + 187. Sort 11, 5, -5, i in descending order. 11, 5, i, -5 Let h = -14163.78 - -14164. Sort -3/2, -2, h. -2, -3/2, h Let p(o) = 7*o + 5. Let y = -27 - -23. Let d be p(y). Let z = 25 + d. Put 0, z, 3, -1 in decreasing order. 3, z, 0, -1 Let y = -158 - -108. Let c = 53 + y. Put c, -4, -18 in increasing order. -18, -4, c Let j = -0.7399 + 1.9399. Put -3, 3, -11, j, 0.5 in ascending order. -11, -3, 0.5, j, 3 Let j be 18/4*(-116)/(-261). Sort -2, 1.2, j in decreasing order. j, 1.2, -2 Let f be 19/(-4) + (-1)/4. Let y be (-6)/(-27) + 6/((-162)/(-21)). Suppose 0 = 10*n + 10*n - 27*n + 21. Put f, y, n, -3 in increasing order. f, -3, y, n Let v(g) = g**2 + 50*g + 195. Let l be v(-45). Let x be ((-4)/14)/(l/(-42)). Sort 75, 2/15, x in decreasing order. 75, 2/15, x Suppose 0*r = -5*r + 15. Suppose 0*c - 8*c = -r*c. Suppose -h + 2*h - 5 = c. Sort 2, h, 6, 0. 0, 2, h, 6 Let w = 364 - 362. Let a be 28 - 29 - w*-4. Sort 0, -4, a in decreasing order. a, 0, -4 Let l = 78 - 71. Suppose -6*n = 11 + l. Let j(f) = -f**3 - 4*f**2 - 3*f - 1. Let s be j(-3). Put -2, n, 4, s in decreasing order. 4, s, -2, n Let s = -24959 - -24958. Put s, 108, -4, 2, -1/4 in decreasing order. 108, 2, -1/4, s, -4 Suppose -2*o = 4*x - 5 + 11, -x = 5*o + 15. Let s(a) = a**2 + 17*a + 79. Let l be s(-8). Put -1, x, -4, l in increasing order. -4, -1, x, l Let l = 4087 + -4086. Sort l, -398, -4 in descending order. l, -4, -398 Let b be 8 - (255/42*2 - (65 - 62)). Sort b, 1.3, -2 in descending order. 1.3, b, -2 Suppose 1 = 4*o - 3*d - 9, o - 5*d + 6 = 0. Suppose -y - m = -3*y - 3, 3*m + 2 = -5*y. Put o, y, 1, -4 in increasing order. -4, y, 1, o Let d = -397 + 410. Suppose -9*v - 3*j = -d*v + 28, 3*j + 24 = 3*v. Sort 62, v, 1 in decreasing order. 62, v, 1 Let v = 5131/20 - 1174/5. Let m = v - 22. Let s be 1 - (1/(-4))/((-5)/16). Put s, m, 2/11, -0.3 in decreasing order. s, 2/11, m, -0.3 Let k be 0*4*8/(-32). Let n be 396/110 + 3/(-5). Put k, 30, n in increasing order. k, n, 30 Let t(r) be the second derivative of r**4/12 + r**3 - 7*r**2/2 - 40*r. Let l be t(-6). Sort -5, 2, 3, l in descending order. 3, 2, -5, l Let l(p) = -p**3 - 71*p**2 - 181*p + 72. Let r be l(-3). Suppose -2*y + 5*i + 6 = -y, 2*y = 5*i + 2. Sort 1, y, r, 5 in decreasing order. 5, r, 1, y Suppose 95*k + 77 + 588 = 0. Sort -17, k, -4, -3. -17, k, -4, -3 Let v(u) = -148*u - 1333. Let z be v(-9). Let o = 5 + 0. Let g be 108/(-20) - (-2)/5. Sort z, g, 0, o. g, z, 0, o Let c = 24 - 23.082. Let q = -0.082 - c. Put 94, q, 4 in ascending order. q, 4, 94 Let n = 7481/165 + -227/5. Let k = n - 118/231. Sort -3, k, 0.1, -9. -9, -3, k, 0.1 Let s = 4.4562 - -0.5438. Put 1/2, -0.07, -5, -0.5, s in ascending order. -5, -0.5, -0.07, 1/2, s Let u = 26 + -85. Let b = u - -56. Let d = -4.5 + 5. Sort b, -7, d in decreasing order. d, b, -7 Let q(y) be the second derivative of -y**5/20 - 11*y**4/6 + 25*y**3/6 + 43*y**2/2 + 28*y. Let c be q(-23). Put -0.1, -20, c in increasing order. -20, c, -0.1 Let h be (-55)/(-572) + -1*3/12. Let l = -0.1 - 25.9. Let i = l - -23. Sort h, -2/9, i. i, -2/9, h Let x = 26757/5 - 5351. Sort -11, x, 4, 27, -0.5 in increasing order. -11, -0.5, x, 4, 27 Let a = 19 + -19. Let m = 28.79 - 28.89. Put m, a, 1, 6 in descending order. 6, 1, a, m Let a(p) = -93*p**2 - 24*p + 58. Let n be a(2). Put -1, -4, n in ascending order. n, -4, -1 Suppose 6*d = 3*d + 15. Suppose -1 = 5*i - d*q + 9, 5*i = q - 22. Let a(w) = -12*w - 646. Let s be a(-54). Put s, -1, 5, i in descending order. 5, s, -1, i Suppose 8*k + k = 0. Suppose -5*y - p - 28 = 0, p + 8 = -k*y - y. Sort 5, y, -66 in decreasing order. 5, y, -66 Let d = -4649.9 + 4330. Let n = 319 + d. Put 2, 0.2, n in decreasing order. 2, 0.2, n Let c = -0.141 - 164.859. Let n = 167 + c. Sort -5, n, -2, 2/9. -5, -2, 2/9, n Suppose 3*j + x = 121, j + 187 = 6*j - 2*x. Suppose 45*n = j*n. Sort n, -3, 9, -1 in descending order. 9, n, -1, -3 Let x(u) = -u**3 - 3. Let k be x(0). Let q = -7963.9 + 7961.9. Put q, 2, 6, k in decreasing order. 6, 2, q, k Let x be (0 + 2)/((-9)/(-27)) - 1. Let q = -566 - -565.5. Put 0, q, x, -12 in descending order. x, 0, q, -12 Let z(w) = 8*w**2 - 27*w + 9. Let j(k) = -2*k**2 + 2*k. Let h(f) = 6*j(f) + z(f). Let u be h(-4). Put u, -59, 0 in ascending order. -59, 0, u Suppose -15*v + 71 = -65*v - 21*v. Sort -6, v, -4, 3, 4/5. -6, -4, v, 4/5, 3 Suppose -5*z = 2*v - 4*z + 55, 4*z = 2*v + 60. Let n(m) = -m**3 - 3*m**2 + 11*m + 10. Let c be n(-5). Put 1, c, v in ascending order. v, 1, c Suppose n - 5*n + x = -1768, -3*n = 2*x - 1315. Let a = n + -448. Put -4, 1, a in decreasing order. 1, -4, a Suppose -7443 = 53*y - 19368. Put y, 0, -2 in decreasing order. y, 0, -2 Let b = -0.6897 + 0.2897. Sort 1, b, 1/7, -31/5 in decreasing order. 1, 1/7, b, -31/5 Let a(b) = b**3 + 5*b**2 - 7*b + 8. Let z be a(-6). Let k(y) = 4*y - 97. Let u be k(28). Let r = z - u. Put -5, 3, r in ascending order. -5, r, 3 Let i be (-13)/(-4) + 1127/644. Put 839, 2, i in ascending order. 2, i, 839 Let r(d) = -467*d - 1868. Let z be r(-4). Sort -8, z, 14 in decreasing order. 14, z, -8 Let k = -9 - -13. Suppose 7*u - 2 + 16 = 0. Sort u, 7, k in descending order. 7, k, u Let o = -39727 + 39726. Let p(r) = r - 14. Let t be p(9). Put t, -38, o in decreasing order. o, t, -38 Suppose 8*g = 5*g + 15. Let r be 7 + ((-232)/24 - 2/6). Sort r, 0, g in increasing order. r, 0, g Let x be (426/42)/(-1) - (-3)/21. Let g(c) = -c**2 - 16*c + 18. Let l be g(-17). Sort 0, -2, x, l in decreasing order. l, 0, -2, x Suppose -5*y - 4*a - 23 = 0, -97*a - 2 = 2*y - 99*a. Sort 1109, 1/2, y in decreasing order. 1109, 1/2, y Let h be (-580)/58 - (-13 - 1). Put 0, -12, h, -25 in descending order. h, 0, -12, -25 Suppose -7*g + 29 - 43 = 0. Suppose -19 = 4*l - 3*k, 4*l = 7*l + 4*k - 17. Put l, -6, g in increasing order. -6, g, l Let h(v) = -2*v**3 + 47*v**2 + 4*v - 625. Let y be h(23). Put 294, y, -2, 6, 0 in increasing order. y, -2, 0, 6, 294 Suppose 0 = b - 5*g - 25, -13*g + 18*g + 20 = 0. Sort -2, 374, b in increasing order. -2, b, 374 Let u = -10.815 + 14.815. Put -110, -1, -6, u in descending order. u, -1, -6, -110 Let o be 52/(-16) + 2/8. Suppose 2*y - 15 = 39. Suppose -5*b = 7 - y. Sort o, -1, b. o, -1, b Let i = 6.63 + -3.96. Let m = 2.59 - i. Sort m, 0.2, 2, -3 in descending order. 2, 0.2, m, -3 Suppose -4894*o - 104 = -4842*o. Put o, 866, 3, 5 in decreasing order. 866, 5, 3, o Let q be 4/38 + (-986)/(-1102). Suppose 0 = 22*o - q - 87. Sort -37, o, 0 in decreasing order. o, 0, -37 Let j = 8 - 7.7. Let y = 635.73 + -633.73. Put -2, y, 0, j in increasing order. -2, 0, j, y Suppose -8*w + 55 = -33. Let z = 67 + -72. Suppose -5*v - 2 = -3*v + 2*n, 4*v = -5*n - 5. Sort z, v, w, 2. z, v, 2, w Let k(p) = 10*p**2 + 8*p + 7. Let n be k(-1). Sort -0.2, n, -0.1, 0.1 in decreasing order. n, 0.1, -0.1, -0.2 Suppose 4*b + 7 = -3*z, -21 = 38*b - 41*b + 3*z. Let q(h) = -h**3 - 8*h**2 - 6*h. Let g be q(-7). Put g, b, 1 in ascending order. g, 1, b Let l(g) = g**3 + g**2 + 5. Let o be l(0). Let m be (-88)/210 + 6/21. Let x = 479/42 - 229/21. Sort m, o, x, -2 in descending order. o, x, m, -2 Let r = -2049 - -2048. Sort 7, 3/4, r, 5 in asce
{ "pile_set_name": "DM Mathematics" }
/16). Let s = -6 + d. Let p = 8 - s. What is the units digit of p? 6 Suppose 5*c = -3*h + 2*h + 147, -c + h = -27. What is the units digit of c? 9 Let a be (-4)/(-10) + (-18)/(-5). Suppose 14 = a*t - 14. What is the units digit of t? 7 Let w(r) = r**2 + 6*r + 5. Let g be w(-4). Let x(b) = 5*b - 4. Let k(a) = 6*a - 5. Let n(p) = 3*k(p) - 4*x(p). What is the units digit of n(g)? 7 Let y(c) = -c**3 + c**2 + c + 2. Let p = -2 + 2. Let z be y(p). Let h = 12 - z. What is the tens digit of h? 1 Let v(z) = z**3 + 4*z**2 - 4*z + 4. Let k be v(-4). What is the units digit of ((-8)/k)/(1/(-10))? 4 Suppose o = 4*o - 57. Let j = o + -10. What is the units digit of j? 9 Let v(r) = 3*r - 4. Let s(i) = i**2 - 5*i + 6. Let x be s(5). Suppose -4*l = -2*l - x. What is the units digit of v(l)? 5 Let o be ((-15)/(-6) - 2)*6. Let t = o - 3. What is the units digit of 1 + t - (-1 - 1)? 3 Let o(k) = -3*k + 66. What is the units digit of o(0)? 6 Suppose -4*l + 0 = 20, 0 = 3*k + 3*l + 15. Let g be k*(-1 + -2)/3. Suppose -3*v + 4*d = -26, 9 = -3*v - 3*d - g*d. What is the units digit of v? 2 Let l(x) = 2*x**2 - 14*x + 13. What is the tens digit of l(10)? 7 Suppose -2*j - 40 - 4 = 0. Let v(i) = i**3 - 5*i**2 - 8*i + 9. Let m be v(6). What is the tens digit of -2 + -3 + (m - j)? 1 What is the units digit of 3288/27 - (-4)/18? 2 Let o = 12 + -5. What is the units digit of o? 7 Suppose 0 = -o - 4*j - 55, 0 = -3*o - o + j - 220. Let n = -35 - o. What is the units digit of n? 0 Let h(y) = -4*y**3 - 5*y**2 + 6*y + 8. Let o(n) = 11*n**3 + 15*n**2 - 19*n - 24. Let a(d) = 8*h(d) + 3*o(d). What is the units digit of a(-6)? 0 Suppose 0*o - 2*o = -6. Suppose -o*q = q. What is the units digit of (q + 0)*1 + 10? 0 Let c(p) = 4*p**2 + 16*p + 19. What is the units digit of c(-10)? 9 Let o(m) = -m**2 - 11*m + 6. Let t = -33 + 22. What is the units digit of o(t)? 6 Let n(w) = -w**3 + w + 2. Let k = -1 + -1. What is the units digit of n(k)? 8 Let i(f) = -3 - 2*f + 3*f - 1 - 3*f + f**3 + 12*f**2. What is the units digit of i(-12)? 0 Let j = -2 - -3. What is the tens digit of j + (10 - 0/3)? 1 Let f = 23 + -13. Let n be -2 + 5/(f/18). Suppose -2*b + n*b = 80. What is the units digit of b? 6 Suppose 0 = -7*b + 2*b. Suppose -8*j + 13*j - 145 = b. What is the units digit of j? 9 Let w be (-3 + 10)*(1 - 2). Let v = w - -7. Let z = v + 3. What is the units digit of z? 3 Let r be (0 - 2)*(-3)/(-6). Let x = -3 - r. What is the units digit of -1*(-9)/x*-2? 9 Let r(o) = o**3 + 13*o**2 + 8*o - 17. Let f be r(-12). Let l = -2 + f. What is the units digit of l? 9 Let q(w) = w**3 + 2*w + 2. Let o(g) = 4*g**3 + g**2 + 6*g + 6. Let a(x) = 2*o(x) - 7*q(x). What is the units digit of a(-2)? 2 Let h(v) = 26*v - 11. What is the units digit of h(3)? 7 What is the tens digit of 4/18 - (-788)/18? 4 Let m be (20/(-30))/(4/(-6)). What is the units digit of (3 - m)/(-2) + 17? 6 Let x = -7 + 12. Suppose -3*q = 35 - x. Let w(y) = -y + 8. What is the tens digit of w(q)? 1 Let l(u) = 2*u**2 + 11*u - 8. What is the units digit of l(-8)? 2 Let p = 21 + 4. What is the tens digit of p? 2 Let l be (-2)/(-9) + (-6)/27. Suppose 2*w + 0*w = l. What is the units digit of 8/((w + 1)/1)? 8 Let m(b) = -6*b - 5. Let z be m(5). Let c = z - -53. What is the tens digit of c? 1 Let k(c) = -29*c - 2. Let p be k(-2). Suppose 4*h + 0*h + p = 0. What is the tens digit of 2*h/8*-4? 1 Suppose 34 + 104 = y. What is the units digit of y? 8 Suppose 0*d - d = 0. Let x be 0/(-2) + 0/(-4). Suppose x*k - 3*r = k + 14, d = -5*r - 25. What is the units digit of k? 1 Suppose -4*u = -4*g - 2*u + 4, 0 = -4*g - 5*u + 4. What is the units digit of g? 1 Suppose 5*j - 152 = j. What is the units digit of j? 8 Let h = -63 + 109. What is the units digit of h? 6 Suppose -12*z = -13*z + 184. What is the units digit of z? 4 Suppose 62 = 2*s + i, 3*s + 2*s - 148 = i. What is the units digit of s? 0 Suppose -z + 2*z = -20. What is the units digit of 5/(z/36)*-1? 9 Let u(r) = r + 4. Let t be u(0). Suppose t*h - 8 - 4 = 0. What is the units digit of h? 3 Let u be (-39)/(-12) + 4/(-16). Suppose -54 = -u*x + 27. What is the tens digit of x? 2 Let d(c) = -7*c - 3. What is the units digit of d(-3)? 8 Let k be (1 + -2)*0 + 11. Suppose 3*x - k - 13 = 0. What is the units digit of x? 8 Suppose 6 - 18 = 3*j - 3*c, 4*c = 3*j + 14. What is the tens digit of j*(135/(-2))/5? 2 Suppose 0 = 4*j - 6*j - 4. Let c(g) = -g. Let d be c(j). Let m(t) = t**2 - 1. What is the units digit of m(d)? 3 What is the tens digit of 18/(5*(-8)/(-140))? 6 Let v be 3 - (-1 + (1 - 0)). Suppose 4*y + v*m - 3 = 1, 5*y = m + 24. Suppose y*n = -3*l + 4, -3*n + 0*n = l - 8. What is the units digit of n? 4 Let i(l) = -l - 4. Let h be i(-10). What is the tens digit of (27/h)/(6/56)? 4 Let m(w) = w**2 + w - 2. Let n be m(2). Let s(v) = v**2 - 7*v + 6. Let a be s(n). What is the units digit of ((-24)/a)/(1/4)? 6 Suppose -3*t - 5*c = -170, -t - c + 2*c + 62 = 0. Suppose 3*d + 100 = 4*v - d, 4*d = 2*v - t. What is the tens digit of v? 2 Suppose 4*h - 104 = 3*s, -111 = -5*h - 5*s + 4*s. What is the tens digit of h? 2 Let w be (-24)/(1 - -2) - 2. What is the units digit of w*(5 + -3 + -3)? 0 Let s(z) be the first derivative of -z**2/2 + 17*z - 2. Let h(c) = 3*c**2 - 4*c + 3. Let q be h(2). What is the tens digit of s(q)? 1 Let f be ((-28)/3)/((-4)/(-30)). What is the units digit of 6/5*f/(-4)? 1 Let m = 0 - 0. Let j = 2 - m. What is the units digit of (-3)/(-6)*j*5? 5 Let n be 29/4 + (-8)/32. Suppose -4*c + 5 = -n. Suppose 4*r - 3*t - 39 = c, 1 = -r - 5*t. What is the units digit of r? 9 Suppose -4 - 3 = p. Let c(d) = -d + 2. Let a be c(p). What is the units digit of -1*(1 - a/1)? 8 Suppose 4*m = 8 + 12. Let u be (4/(-10))/((-1)/m). What is the tens digit of u/(-3) + (-105)/(-9)? 1 Let p = -286 - -434. What is the units digit of p? 8 What is the tens digit of (-174)/(-3) - (-6 - -9)? 5 Suppose 3*b + 27 = 108. What is the tens digit of b? 2 Suppose 3*y - 2 = -17. Let w = 23 + y. Suppose 4*c - 14 = w. What is the units digit of c? 8 Let n be ((-2)/(-3))/(6/27). Let a be n/9*(30 + 3). Suppose -2*c - 20 = -4*d + 2*c, -2*d - 5*c - a = 0. What is the units digit of d? 2 Suppose -x + c = -3*c - 38, -c - 4 = 0. Suppose -4*y - 3*k - 51 = 0, 43 = -2*y + 5*k - 2. Let t = x + y. What is the units digit of t? 7 Let y = 6 - 9. Let l be -3 + ((-6)/(-3) - y). Suppose l*d - 8 - 8 = 0. What is the units digit of d? 8 Let y(j) = j**2 - 5*j + 2. Let z be y(5). Suppose 10 = z*i + 4. Suppose i*o - 80 = -o. What is the units digit of o? 0 Suppose -4*l = -253 - 159. What is the hundreds digit of l? 1 Let v be (2/3)/((-2)/(-3)). Let k = v - -3. What is the units digit of ((-6)/9)/(k/(-18))? 3 Let k = 479 - 173. What is the units digit of k? 6 Let n(u) = 31*u + 2. Let q be n(4). Let a = q - 88. Suppose -4*b + 0*b + a = 2*c, 3*c - 15 = 0. What is the units digit of b? 7 Let u(v) = -2*v**2 - 2*v + 17. Let r(g) = g**2 + g - 8. Let t(h) = -5*r(h) - 3*u(h). Let l be t(0). Let k = l + 19. What is the units digit of k? 8 Suppose -4*o + 425 = o. What is the tens digit of o? 8 Suppose -6*i = i - 119. What is the units digit of i? 7 Suppose -8756 = -13*j - 9*j. What is the units digit of j? 8 Let u(n) = -n**3 + 14*n**2 - 21*n - 20. Let i(p) = p**3 - 15*p**2 + 20*p + 20. Let d(v) = -5*i(v) - 4*u(v). What is the tens digit of d(18)? 1 Let u(o) = 46*o - 18. What is the units digit of u(5)? 2 What is the tens digit of (0 - (4 - 27)) + -1? 2 Suppose t = 19 + 2. What is the units digit of 2/(-8) + t/4? 5 Let i(f) = -2*f**3 + 21*f**2 + 3*f + 22. What is the tens digit of i(9)? 9 Suppose -4*z - 5*p + 118 = 0, -10 = -2*z + 5*p + 64. What is the tens digit of z? 3 Suppose 3*v = -2*p - 10, 4*v - 25 = 5*p - 0*p. Let g = 39 - 7. Suppose -3*d = x - 4, 0 = -5*x - v*d - 3*d + g. What is the units digit of x? 7 Let h = 58 - 40. What is the units digit of h? 8 Let g(q) = q**3 - 13*q**2 + 7*q + 14. Let m be g(12). What is the units digit of (m/4)/(3/(-6))? 3 Suppose 19 = 3*l + 2*l - 3*f, 0 = 3*l - 3*f - 9. Suppose -z = 5, l*z + 88 = 2*r - 1. What is the units digit of r? 2 Suppose -4*h = -2*p - 20, -5 = -h - 0*p + 2*p. Suppose 0*u - 15 = -5*u. Suppose -h*s + k + 65 = 0, 52 = u*s + s - 4*k. What is the units digit of s? 3 Suppose 0 = -3*n - n. Suppose -8*p + 12*p -
{ "pile_set_name": "DM Mathematics" }
p(k). Calculate a(o(g)). 6*g**2 Let o(g) = -2*g. Let z(p) = -53*p**2 + 2*p. Give z(o(d)). -212*d**2 - 4*d Let y(f) = 6*f**2 - f**2 - 3*f**2. Suppose 3*v + 4 - 2 = 2*m, 0 = -2*v + 4*m - 12. Let j(o) = 4*o + 4*o - v*o. Determine j(y(d)). 12*d**2 Let f(k) = 475*k. Let j(i) = 9*i. Give j(f(q)). 4275*q Let n(v) = -33*v**2 + 2. Let h(y) be the third derivative of -y**5/30 + y**2 + 39*y. Determine h(n(g)). -2178*g**4 + 264*g**2 - 8 Let n = 1 - -1. Suppose 3 + 3 = u. Let c(k) = -2*k**n - u + 6. Let v(h) = 2*h. What is v(c(y))? -4*y**2 Let a(z) = 8*z. Let n(h) = -2*h**2 + 3*h. Let o(i) = 3*i**2 - 5*i. Let q(w) = 5*n(w) + 3*o(w). Determine q(a(p)). -64*p**2 Let x(q) = 2*q. Let h(i) = 92*i - 8. Let t(u) = 61*u - 5. Let w(s) = -5*h(s) + 8*t(s). Determine x(w(g)). 56*g Let b(k) = 919*k**2 - 4. Let u(w) = 2*w. What is u(b(o))? 1838*o**2 - 8 Let g(q) be the third derivative of q**5/60 - 8*q**2. Let u(h) = -22*h. What is g(u(d))? 484*d**2 Let d(c) be the second derivative of -23*c**4/12 + 12*c. Let k(x) = 2*x. Determine d(k(p)). -92*p**2 Let b(g) = 65*g**2. Let j(n) = -5*n. Give j(b(w)). -325*w**2 Let o(c) = -3754*c - 4. Let a(k) = 2*k. Determine o(a(f)). -7508*f - 4 Let d(z) = -2*z. Let a(o) be the first derivative of 37*o**2/2 - 14. What is d(a(r))? -74*r Let w(l) = -2*l**2. Let g be (1 - -19)/4*1. Let p(r) = g*r - r - r + 6*r. What is w(p(s))? -162*s**2 Let g(v) = v**2 + 6*v + 8. Let q be g(-6). Let h = 9 - q. Let m(d) = 1 - 2*d - h - d. Let j(t) = -4*t**2. What is j(m(f))? -36*f**2 Let w(m) = 9*m. Let r(d) = 5*d. Let x(g) = -5*r(g) + 3*w(g). Let q(l) be the third derivative of l**4/8 - l**2. What is q(x(s))? 6*s Let h(t) be the third derivative of -t**4/24 - t**3/2 + 2*t**2. Let x(m) = 6*m + 16. Let o(c) = -16*h(c) - 3*x(c). Let b(s) = 6*s. Calculate b(o(p)). -12*p Let z(h) = -h**2. Let n = 17 + -12. Let b(t) = 4*t**2 - n*t + 5*t. What is z(b(q))? -16*q**4 Let p be (3/6)/((-1)/(-4)). Let r(o) = 4*o**2 - 8*o**2 + p*o**2. Let y(c) = -c. Determine r(y(n)). -2*n**2 Let c(z) = 4*z. Let i(x) = -17*x. Let h(p) = -9*c(p) - 2*i(p). Let k(d) = 5*d. Give h(k(y)). -10*y Let s(h) = 2*h**2. Let r(k) = 85*k. Determine s(r(l)). 14450*l**2 Let f(j) = -5*j. Let g(c) be the second derivative of -c**4/12 + 6*c. Determine g(f(i)). -25*i**2 Let v(t) = -9 + 5 - 7*t + 4. Let n(b) = 4*b**2. Determine n(v(j)). 196*j**2 Let t(a) = 2*a. Let h(d) = 3*d. Let f(y) = 7*y. Let o(k) = 3*f(k) - 12*h(k). Give t(o(b)). -30*b Let q(g) = -2*g + 4. Let p(d) = -4*d + 7. Let i(l) = 4*p(l) - 7*q(l). Let z(f) = 3*f**2. Calculate z(i(o)). 12*o**2 Let w(j) = 2*j. Let i(r) = -97*r. Determine i(w(o)). -194*o Let n = 0 + 2. Let v(g) = -n - 2*g**2 + 2. Let x(k) = -4*k + k + 3*k - k**2. What is v(x(m))? -2*m**4 Let a(y) = -19*y + 10 - 10. Let n(u) = -u**2. Calculate n(a(d)). -361*d**2 Let u(m) = m**2. Let z(y) = -12*y + 14*y + 17*y. Determine u(z(o)). 361*o**2 Let b(p) = p**2. Let o(f) be the second derivative of -11*f**3/6 + 9*f. Give o(b(z)). -11*z**2 Suppose 3 + 5 = f - 3*r, -2*f - r = -2. Let n(q) = 7*q**f - q**2 - 3*q**2. Let u(l) = -3*l - 6. Let z(x) = x + 4. Let g(m) = 2*u(m) + 3*z(m). Determine n(g(j)). 27*j**2 Let x(t) be the first derivative of -5*t**2/2 + 3. Let o(w) be the second derivative of w**3/6 - w. Determine x(o(l)). -5*l Let s(x) = -338*x. Let n(t) = -t**2. Calculate n(s(f)). -114244*f**2 Let u(m) = -2*m. Let p(c) = 41*c**2. Calculate u(p(g)). -82*g**2 Let p(o) = -26*o**2 + 29*o**2 + 4 - 4. Let k(f) = 6*f. What is k(p(j))? 18*j**2 Let s(g) = g - 1. Let i(w) = -1. Let v(x) = 2*i(x) - 2*s(x). Let j(p) = p. Determine j(v(t)). -2*t Let k(s) = -8*s**2. Let t(o) = 13*o + 5. Let f(x) = -6*x - 2. Let g(l) = -5*f(l) - 2*t(l). Let y(j) = -j. Let n(p) = -2*g(p) - 7*y(p). Give n(k(h)). 8*h**2 Let v(q) be the second derivative of -q**4/2 - 32*q. Let t(a) = 2*a**2. Let d = 7 + -14. Let s(b) = -b**2. Let z(h) = d*s(h) - 4*t(h). What is z(v(u))? -36*u**4 Let f(j) = 2*j - 4. Let a(x) = -x + 3. Let u(q) = 4*a(q) + 3*f(q). Let d(v) = -33*v. What is u(d(m))? -66*m Let h(x) = 32*x**2. Let m(y) = 6*y**2. What is h(m(d))? 1152*d**4 Let r(j) = -20*j**2. Let h(o) = -o - 19. Calculate r(h(q)). -20*q**2 - 760*q - 7220 Let g(o) = 1131*o + 2. Let p(r) = 2*r**2. Determine p(g(n)). 2558322*n**2 + 9048*n + 8 Let m(w) = -w**2. Let u be (-21)/(-14)*4/3. Let z(h) be the first derivative of 1 + 1/2*h**u + 0*h. Determine m(z(j)). -j**2 Let q(o) = -17*o**2. Let m(h) = 17*h**2 + 11*h. Let v(x) = 6*x**2 + 4*x. Let w(n) = 4*m(n) - 11*v(n). Calculate w(q(f)). 578*f**4 Let s(j) = -4*j**2 + 2. Let r(q) = -13*q**2 + 7. Let y(w) = -2*r(w) + 7*s(w). Let a(h) be the third derivative of -5*h**4/24 + 2*h**2. Calculate a(y(u)). 10*u**2 Let f(n) = -146*n**2 + 1. Let x(w) = 2*w**2. Determine f(x(p)). -584*p**4 + 1 Let c(n) be the first derivative of n**2 - 1. Let b(u) = -u + 0*u + 2*u - 2*u. Give c(b(i)). -2*i Let h(s) = 3*s**2 + 1. Let p(o) be the second derivative of o**3/3 + 26*o - 2. Calculate h(p(r)). 12*r**2 + 1 Let g(f) = 2*f**2. Let k(q) be the third derivative of -q**5/12 - 4*q**2. What is k(g(j))? -20*j**4 Let s(t) = -2*t**2. Let h(b) = -2*b**2 - 3. Let c(o) = 2*o**2 + 4. Let p(n) = -3*c(n) - 4*h(n). What is s(p(a))? -8*a**4 Let a(y) = 4*y + 1 + y**2 + 0*y**2 - 2*y + 1. Let x(f) = 6*f**2 + 11*f + 11. Let i(q) = -11*a(q) + 2*x(q). Let o(b) = -6*b**2. What is o(i(u))? -6*u**4 Let r(o) = -2*o. Let n(l) = -198*l + 2. Give n(r(t)). 396*t + 2 Let j(s) = -3 - 2 + 5 - 6*s. Let u(x) = -3*x + 5. Let f(a) = 10*a - 16. Let h(b) = -5*f(b) - 16*u(b). Determine j(h(o)). 12*o Let l(v) = 2*v**2. Let w(u) be the second derivative of -2*u**4/3 - 4*u. Calculate l(w(p)). 128*p**4 Let k be -6 - -6 - (0/(-1) - 0). Let m(n) be the third derivative of 1/30*n**5 + 0*n**3 + 0*n**4 + k + 2*n**2 + 0*n. Let a(l) = -4*l. Give m(a(c)). 32*c**2 Let a(n) be the second derivative of 1/4*n**4 + 0*n**3 + 0*n**2 - 2*n + 0. Let m(i) = 2*i. Calculate m(a(c)). 6*c**2 Let z(s) = -2*s**2. Let g(t) = 30*t. Let p(l) = -1. Let b(h) = -h - 3. Let n(o) = b(o) - 3*p(o). Let k = 11 - -14. Let v(u) = k*n(u) + g(u). What is v(z(a))? -10*a**2 Let p(w) = -w. Let x(m) = 4142*m. What is p(x(b))? -4142*b Let l = 55 - 53. Let p(v) be the second derivative of 1/6*v**4 + 0*v**l + 0*v**3 + 2*v + 0. Let b(i) = i. What is b(p(g))? 2*g**2 Let x(j) be the first derivative of 2*j**2 + 16. Let y(i) = -3*i**2. What is x(y(a))? -12*a**2 Let l(g) = g - 2 + 2. Let p(t) = t**2 + 5*t**2 - 5*t**2 + 9*t**2. Determine l(p(v)). 10*v**2 Let a(w) = 2*w**2. Let p(l) = l**3 + 3*l**2 - 5*l - 4. Let s be p(-4). Let i(t) = t - t - t + s. Give a(i(v)). 2*v**2 Let x(h) = -6*h. Let d(o) = 87*o**2. Give d(x(k)). 3132*k**2 Let u(i) = 2*i**2. Let j(g) = -g**2 + 3*g + 3. Let o(z) = -4*z**2 + 14*z + 14. Let f(m) = 14*j(m) - 3*o(m). Determine u(f(y)). 8*y**4 Let d(x) = -x**2. Let k(t) = -4*t**2 - 4*t**2 - 5*t**2 - t**2. Calculate k(d(c)). -14*c**4 Let f(j) = 491*j. Let o(u) = -5*u. Determine f(o(k)). -2455*k Let a(i) = i - 5. Let t(c) = c - 7. Let j(z) = -7*a(z) + 5*t(z). Let n(r) = 7*r. Calculate n(j(u)). -14*u Let w be 1/1 - (0 + -1). Let r(i) = 3*i**2 + 3*i**w - 3*i**2 - 2*i**2. Let l(y) = 5*y**2. Let o(n) = -3*n**2. Let k(u) = -5*l(u) - 8*o(u). Calculate k(r(t)). -t**4 Let k(z) = 14 - 14 + z**2. Let s(i) = 2*i**2. Calculate k(s(f)). 4*f**4 Let z(k) = -4*k**2. Let f(n) be the first derivative of 2*n**3/3 + 7. What is z(f(h))? -16*h**4 Let s(q) = -q + q**2 + q. Let a(w) = -42*w + 12. Let m(j) = 17*j - 5. Let i(g) = -5*a(g) - 12*m(g). Calculate s(i(z)). 36*z**2 Let a(p) = -25*p**2. Let j(k) = 2*k**2 + 27. Calculate j(a(c)). 1250*c**4 + 27 Let t(s) = 9*s**2. Let k(p) = p - 1. Let r(g) = -7*g + 6. Let v(l) = 6*k(l) + r(l). What is v(t(j))? -9*j**2 Let g(z) = z. Let j(h) = 1870*h**2. Determine j(g(x)). 1870*x**2 Let d(o) = -o + 29. Let i(k) = 19*k. Determine d(i(z)). -19*z + 29 Let p(m) = 6*m. Suppose 5*t + 4*b - 22 = 0, -4*b = t - 9 - 5. Let l(i) = t*i**2 + 0*i - 4*i**2 + 0*i. Calculate p(l(u)). -12*u**2 Let z(l) = -2*l**2. Let b(h) = -813*h. Determine b(z(i)). 1626*i**2 Let n = -3 + 6. Let r(g) = -6*g - 3 + n. Let i(v) = 2*v - 1. Let j(l) = -7*l + 3. Let y(h) = -3*i(h) - j(h). Give r(y(s)). -6*s Let r(u) = -6*u. Let k(p) = -162*p**2. Calculate k(r(o)). -5832*o**2 Let l(o) = -2*o. Let f be 1/(-4) + 209/(-44). Let u
{ "pile_set_name": "DM Mathematics" }
(n/n**4*n*n*n*n/((((n/n**(-2))/n)/n)/n))**(-46) assuming n is positive. n**(-805/13) Simplify ((z/z**11)**(-20)*(z**10)**17)**27 assuming z is positive. z**9990 Simplify ((l**(-1))**46)**(-7)*(l*l**0*l)**(-3/11)/(l/((l/l**1)/l)*l*l**(-1/2)/l) assuming l is positive. l**(7039/22) Simplify (q/(q/(q**5/q)))/q**4*(q/(q**(2/3)/q*q)*q)**15*((q/(q/(q/(q*q**3))))/q**1)**(27/7) assuming q is positive. q**(32/7) Simplify ((t*t**(1/5))/(t/(t*(t**0*t)/t)*t))/(t**(1/3)*t*t*t*(t**(-1/5)/t)/t*t) assuming t is positive. t**(-29/15) Simplify ((h**(-1)*h)**(-28)/(h*h**(-1))**(4/3))/(h/h**(-6/7)*h/(h*h/h**(-4/9)*h))**21 assuming h is positive. h**(37/3) Simplify (((q*(q/q**6)/q*q)/(((q*q/(((q**(1/5)*q)/q)/q))/q)/q)*q**8*q**(-3))**(-12))**(-12) assuming q is positive. q**(144/5) Simplify (((m**26*m)/m*m**(-1/22)/m)/(m/(m*m*m**(-32)))**(-7/8))**(-26) assuming m is positive. m**(-59579/44) Simplify (a**(-4)/a**(6/5)*(a**(-3))**(6/17))**(-25) assuming a is positive. a**(2660/17) Simplify ((w*w**(2/21))/((w*w**(-3)*w)/w)*w**(2/5)/(w/(w/((w**(1/4)/w*w*w)/w))))/(w**4/(w/w**(-1/3)))**49 assuming w is positive. w**(-17839/140) Simplify ((b**(1/6)*b)/((b*(b/(b**(-10/7)/b))/b*b)/b)*b**(-2/51)*b**(-5/14))**15 assuming b is positive. b**(-4745/119) Simplify (z**0*z)**(-24)*z*(z*z/z**(-2/21))/z*z*(z/(z*z**4*z)*z)/z*z*(z/(z/(z*z**(-1/3)/z*z*z*z*z)))/z**(-4)*z*z**(-1/5)*z/(z**2*z)*z assuming z is positive. z**(-1831/105) Simplify ((i**(-16)*i**(2/9)*((i*((i*(i*i*i**(-2/13))/i)/i)/i)/i)**(-2/37))**(-17/4))**39 assuming i is positive. i**(580261/222) Simplify (j*(j*(((j**(-1/14)*j)/j*j)/j*j)/j)/j*j*j/j**(-15/4)*(((((j**(2/31)*j)/j)/j)/j)/j*j*j)**(-25))**(-38) assuming j is positive. j**(-495843/434) Simplify ((z*z**(-14)*z)**(-33)/(z*z**(-20)*z*z/(z*z**(-16/7))))**(-3/5) assuming z is positive. z**(-8646/35) Simplify ((g**2*g*g**4)/(g**(1/3)*((g*g*g*g**2*g*g)/g)/g))/(g**(-1/5)*g**5*g*g*(g/(g*g/g**(-3)*g))/g*g*g**(-3/8)) assuming g is positive. g**(29/120) Simplify (m**0)**(-17)*(m**(2/7))**(11/9)*(m*m*m**(-2/7))**(-7/6)/(m**5/((m*m**6*m)/m*m)) assuming m is positive. m**(85/63) Simplify ((s**(2/5)*s**4)/(s**6/(s**(1/2)*s)))/((s**(1/4)*(s**1/s*s*s)/s)/(s**5*s*(s**(3/8)*s)/s)) assuming s is positive. s**(201/40) Simplify (u**(-1/11)*u**3*(u/u**(-1))**(-28))**(-1/33) assuming u is positive. u**(584/363) Simplify ((b/(b*b/(b/(b*b/(b**5/b*b))*b)))/b*b**4*(b**(2/3))**(-21))/((b**0)**3*b**6*b**(1/2)) assuming b is positive. b**(-27/2) Simplify (((x/(x*x**7))/(x/x**(2/5)))/(x/(x*x**(-1/3)))**(-10))/((x*x/(x/(x*(x*x/((x**(-1/2)/x)/x))/x)))**(-7)*x/x**2*x**(7/2)) assuming x is positive. x**(476/15) Simplify ((r**(-1/2)*r*r)**(-4/5))**13/(((r**3/r)/r**(-4/7))/(r**(-3/5)*((r*r*r/(r**1/r))/r)/r)) assuming r is positive. r**(-622/35) Simplify ((u*u**(-12))/u*u/(u*u*u/((u**(2/29)*u)/u))*(u**(4/9))**40)**38 assuming u is positive. u**(38152/261) Simplify (((i/(i/(i/(i/(i/(i**(-11)*i))))))/i**3)/(i**(-14)/i*i*i/i**(2/13)))**(2/25) assuming i is positive. i**(22/13) Simplify (((i/(i*i**(-4/7))*i)/i*i*((i/(i*i/(i*i*i**0)))/i*i)/i*i)/(i**(7/4)/i*i/i**(-1/8)*i*i))/((i**(-7)*i)/(i**(-2/7)*i))**(15/11) assuming i is positive. i**(691/88) Simplify j**6*j*j*j**0*(j*j*j**(-7))/((j*j/(j*j**0)*j)/j)*(j**(-1/5)*j**(1/5))/((j**(1/6)*j)/((j/(j*(j*j/(j**1*j))/j*j))/j)) assuming j is positive. j**(-1/6) Simplify ((v*v**(-5)*v*v/v**(-1))/((v/(v/(v**(2/5)*v)))/v*v**(-3)))/((v**(-1))**(17/4)*(v/v**(-1))/(v*((v**(-1/2)/v)/v)/v)) assuming v is positive. v**(27/20) Simplify q**(-1/3)/((q*q/(q**(3/8)/q*q))/q)*q/q**(-6)*(((q**(1/13)/q)/q)/q)/q*(q**(-7)/((q*q**(-4)/q)/q))**33 assuming q is positive. q**(-19931/312) Simplify (p**3/((p*p**1)/p))**(1/32)/(((p/(p/(p**(-2/3)/p)))/p)/p**(-7)*p*p/(p/p**(-5/6)*p*p)*p/(p**(-4/3)/p)) assuming p is positive. p**(-277/48) Simplify (w/(w*(w*w**(2/9)*w*w)/w*w)*w*w**(-1/3)*w**(-4)/w*w*((w/(w*w/(w/(w**(3/8)/w))*w))/w)/w)/(w**7/(w*w**(-6/7)*w))**(10/19) assuming w is positive. w**(-115039/9576) Simplify (((r*r/(r/r**(-1/4)))/r*r*r**(-1/5))/(r**(-4)/(((r*r/r**(-5))/r)/r)))/(r**(1/5)*r**(2/17)*r**4/r*r*(r**(-2)/r)/r) assuming r is positive. r**(3139/340) Simplify ((b/(((b*b/b**(3/4))/b)/b*b)*b*b/(b/b**(1/35)*b))/(b**15*b*b*b*b**(-6/7)*b))**(-29) assuming b is positive. b**(70499/140) Simplify (w**(1/8)/(w**(-2)*w))**(2/11)*((w*w**(-2)*w)/(w/(w**(-2/7)/w)))**(-23/4) assuming w is positive. w**(4111/308) Simplify ((z**(-3))**(-5)*z**(4/13)/z*z/(z**(-17/3)*z*z))**(-11/6) assuming z is positive. z**(-4070/117) Simplify ((t*t**1)**37*(t*t**(2/5))**(-2/91))/((t**5/t**(-1))/(t**(-5)/((t*t**(-6))/t))) assuming t is positive. t**(4483/65) Simplify ((d*d**(1/4)*d*d)/d**29*(d/(d*d**(1/17)/d*d))/(d*(d**(-4)/d)/d*d))**44 assuming d is positive. d**(-16313/17) Simplify (i**8/(i/i**(2/15)))**(-9/14)*i/i**5*(i**(-2)/i)/i*i/i**(-5)*i/(i/i**(-1)) assuming i is positive. i**(-531/70) Simplify ((k**(-3/8)/k*k)/(k*k**(-25)*k)*(k**0/k)**30)**(2/23) assuming k is positive. k**(-59/92) Simplify ((a*a*a**(-1/2)*a)**(3/7))**(-42)*(a**(-2)/(a**(1/4)/a))/(((a/a**(2/19))/a)/a**(-6)) assuming a is positive. a**(-3963/76) Simplify h**(2/119)/((h/((((h*h**(-27)*h)/h)/h)/h))/h)*h**(-34)/h**(1/4) assuming h is positive. h**(-29623/476) Simplify r**(-8)/(r*r/r**(1/3))*(r/r**(2/5)*r)**(6/17)*(r/r**(-1))/(r/r**(-2/11))*r**(5/2)/r**5 assuming r is positive. r**(-60497/5610) Simplify ((u/(u*(u**(-16)*u)/u))/(u*u**(6/13)/u)*u/(u**(1/16)/u)*u**(1/18)/u)**(5/2) assuming u is positive. u**(154735/3744) Simplify ((s/s**(-4))**(-4/17))**38/(s*s/s**(-2/39)*s*(s*(s/((s/s**9)/s))/s)/s)**39 assuming s is positive. s**(-8750/17) Simplify (w**(-2/3))**(-48)*w**(-2/3)*(w/w**(-4/9))/w*((((w/(w*(w*w**(-1/4))/w))/w)/w)**(-30))**(1/4) assuming w is positive. w**(3233/72) Simplify (h**7/(h*h*(h/(h*h**(-4)*h))/h*h))**14*h**(-4)/(h**(2/7)*h)*(h/(h/h**(2/7)*h))**35 assuming h is positive. h**(-16/7) Simplify (c**(-6/11)/c**(-1/3))/((c**(-5)*c*c)/(c*c**7))*(c/(c*c**1)*c/(c**4/c))**37 assuming c is positive. c**(-3307/33) Simplify ((((f*f**0*f*f)/(f**(-3)/f))/(f/(f/(f/(f/(f/((f**(2/5)*f*f*f)/f))))))**(2/33))**(-23))**(-1/31) assuming f is positive. f**(26887/5115) Simplify (i/(i*i**26/i)*i**(-1/5)/i)/((i**(-46)/i)/i**9) assuming i is positive. i**(149/5) Simplify (a*(a/(a/a**(-2)))/a*a*(a**(-2/15)/a)/a*a)/(a**(-2))**43*a*a**(-5)/a*a*a/(a**(-1/4)/a)*(a*a/((a**2/a)/a)*a*a)**(-38) assuming a is positive. a**(-4193/60) Simplify (o**(3/13)/o**(-4/9)*o/(o*o**(2/31))*((o/(o**(-3)*o))/o)/o*o)**(-40/3) assuming o is positive. o**(-378760/10881) Simplify ((z/(z/(z*z/(z**6/z)*z)*z*z))/(z*z*z**(7/2))*((z*z**20/z)/z)**50)**(-5/13) assuming z is positive. z**(-9405/26) Simplify (r**0/((r/r**(-10))/r))**(1/9)/(((r*r/(r*(r*r**(-1/4))/r))/r)/r**(2/21)*(r*r**(-3)*r)/(r/r**(1/4))) assuming r is positive. r**(61/126) Simplify ((c**(-4/3))**(-8/3)*(c**(1/8))**(-2/11))**9 assuming c is positive. c**(1399/44) Simplify (w/(w*w*w/(w*w**(-2/11)))*w*w*(w*(w/w**21)/w*w)/w*(w/(w**(-1/3)/w)*w)**(17/2))**(23/2) assuming w is positive. w**(3473/33) Simplify ((((((f**3*f)/f)/f)/f)/f**26)/(f/(f/(f*(f**(-22/9)/f)/f))*f*f*(((f*(f/f**(-6))/f)/f*f)/f)/f))**(-23/4) assuming f is positive. f**(5911/36) Simplify ((h**(-14)/(h*h*h**6)*(h/h**0)/(h/h**(5/6)))**(-9/2))**39 assuming h is positive. h**(14859/4) Simplify (b/(b/(b**(-16)/b))*b/b**16*(b**(-2/9))**5)**(1/45) assuming b is positive. b**(-298/405) Simplify f**1/((f/f**(-2))/f)*f**(-2)*f**2*(f*f*f**(2/9)*f)**44*f*(f/(f/(f**9*f)))/f*f*f**(-9)/f assuming f is positive. f**(1276/9) Simplify (q**(-16/5)*q**33*((q**12*q)/q)**(-3/19))**(-19) assuming q is positive. q**(-2651/5) Simplify (z*z/z**(-26))**(-2/5)/(z/(z**11*z)*z*z/(z*z/((z**0/z)/z)*z)) assuming z is positive. z**(14/5) Simplify (c/((((c*c*c**(1/7)/c)/c*c)/c)/c)*c/c**(-3/4))/(c**1)**(12/5)*(c**3*c*c**(-2/3))/(c*c/((c/(c/(c**5/c)))/c)*c/(c**(-1/3)*c)) assuming c is positive. c**(729/140) Simplify (((r*r**(-1/9)*r*r*r**(-1))/(r/r**(-1/4))**(-4/31))**22)**39 assuming r is positive. r**(163592/93) Simplify (y**12*y)**(-2/69)/(y**(-31)/y*y/(y*y**(-17)/y)*y) assuming y is positive. y**(871/69) Simplify (s/(s/s**(-1)))**(-22/3)/((s*s*s/(s*s**(-1)))/s)**9*(s/s**(-4)*s**(-1/7)*s)/(s/(s/s**(-2/7)))**(-40) assuming s is positive. s**(-341/21) Simplify ((q**(2/13)*q*q)**(-2/43)*q**2*q*q*q
{ "pile_set_name": "DM Mathematics" }
875 Calculate the common denominator of 45/4 and -11/32. 32 What is the smallest common multiple of 16 and 744? 1488 What is the common denominator of 38/3 and 34/261? 261 Calculate the common denominator of -133/24 and 19/426. 1704 What is the common denominator of 193/510 and 139/6? 510 Find the common denominator of -113/28 and 121/18. 252 Calculate the least common multiple of 10 and 32. 160 Find the common denominator of -91/80 and 7/192. 960 What is the lowest common multiple of 570 and 171? 1710 What is the common denominator of -107/72 and -50/9? 72 Find the common denominator of -37/320 and -121/96. 960 What is the common denominator of 127/24 and -179/360? 360 Calculate the common denominator of -53/945 and -13/42. 1890 What is the common denominator of 53/156 and 34/4719? 18876 What is the least common multiple of 46 and 28? 644 Find the common denominator of -131/6 and -5/1338. 1338 Calculate the common denominator of -143/108 and 107/1224. 3672 Calculate the common denominator of -35/22 and 139/1860. 20460 Calculate the lowest common multiple of 132 and 2. 132 What is the least common multiple of 122 and 6? 366 Calculate the least common multiple of 2583 and 6601. 59409 What is the smallest common multiple of 1146 and 54? 10314 Find the common denominator of -9/40 and 49/10. 40 Calculate the lowest common multiple of 124 and 1116. 1116 Find the common denominator of 53/469 and -38/469. 469 What is the lowest common multiple of 198 and 2? 198 What is the lowest common multiple of 4 and 6? 12 Calculate the least common multiple of 158 and 14. 1106 What is the least common multiple of 380 and 480? 9120 Find the common denominator of 37/9 and -23/61. 549 What is the common denominator of -21/121 and 15/22? 242 Find the common denominator of -57/10 and 85/152. 760 What is the common denominator of -125/6 and 19/49? 294 Calculate the least common multiple of 64 and 176. 704 Calculate the least common multiple of 58682 and 20. 586820 Find the common denominator of 19/1656 and -113/1104. 3312 Calculate the common denominator of 29/405 and -5/3. 405 What is the least common multiple of 42 and 44? 924 Calculate the common denominator of -13/5 and -37/160. 160 Calculate the least common multiple of 165 and 165. 165 Find the common denominator of -67/1724 and -117/10. 8620 Find the common denominator of -8/155 and 20/279. 1395 Find the common denominator of 27/50240 and -7/8. 50240 What is the least common multiple of 3245 and 2596? 12980 What is the smallest common multiple of 894 and 3? 894 Find the common denominator of -145/42 and 3/322. 966 What is the common denominator of -25/14 and 3/848? 5936 Calculate the smallest common multiple of 74 and 44. 1628 What is the lowest common multiple of 276 and 204? 4692 What is the lowest common multiple of 436 and 18? 3924 What is the least common multiple of 3753 and 27? 3753 Find the common denominator of 32/159 and -121/10. 1590 Find the common denominator of 26/511 and 95/4. 2044 What is the least common multiple of 259 and 148? 1036 Calculate the least common multiple of 52 and 192. 2496 What is the least common multiple of 140 and 175? 700 What is the common denominator of -71/126 and -53/180? 1260 What is the least common multiple of 5720 and 15? 17160 Calculate the common denominator of 85/3276 and 51/728. 6552 Calculate the lowest common multiple of 9 and 3. 9 Calculate the least common multiple of 315 and 175. 1575 What is the least common multiple of 220 and 25? 1100 What is the common denominator of -131/1056 and -149/18? 3168 Find the common denominator of 53/17852 and -1/16. 71408 Find the common denominator of -45/128 and -139/144. 1152 What is the least common multiple of 19 and 8? 152 What is the smallest common multiple of 136 and 38? 2584 What is the lowest common multiple of 768 and 8? 768 Calculate the lowest common multiple of 3 and 2993. 8979 Calculate the smallest common multiple of 187 and 289. 3179 What is the common denominator of -79/2538 and 119/324? 15228 What is the least common multiple of 54 and 520? 14040 Find the common denominator of 12/35 and -139/84. 420 What is the smallest common multiple of 270 and 55? 2970 Calculate the lowest common multiple of 4248 and 216. 12744 Calculate the smallest common multiple of 21232 and 22. 233552 Find the common denominator of 67/8 and 65/176. 176 Calculate the smallest common multiple of 32 and 72. 288 What is the common denominator of 29/544 and -75/16? 544 What is the common denominator of 115/108 and -85/108? 108 What is the smallest common multiple of 28 and 52? 364 What is the common denominator of 139/1820 and -8/39? 5460 Find the common denominator of -92/495 and -101/7920. 7920 What is the common denominator of 127/6 and 53/2360? 7080 Calculate the lowest common multiple of 8 and 118. 472 What is the common denominator of 31/29 and -67/18? 522 What is the least common multiple of 24 and 1353? 10824 Calculate the common denominator of 31/54 and 17/156. 1404 Find the common denominator of 29/1412 and -27/10. 7060 What is the least common multiple of 32 and 44? 352 Calculate the smallest common multiple of 15 and 2495. 7485 Calculate the common denominator of 11/72 and 59/16. 144 What is the least common multiple of 1250 and 500? 2500 What is the lowest common multiple of 636 and 32? 5088 What is the lowest common multiple of 624 and 936? 1872 Find the common denominator of 65/514 and 1/8. 2056 Calculate the common denominator of -1/4 and 17/40. 40 What is the lowest common multiple of 8 and 340? 680 Calculate the common denominator of 61/1740 and 43/2320. 6960 Find the common denominator of -107/6974 and -77/18. 62766 Calculate the least common multiple of 433 and 5. 2165 Calculate the lowest common multiple of 112 and 24. 336 Calculate the smallest common multiple of 900 and 18. 900 What is the common denominator of -31/696 and -51/32? 2784 Calculate the common denominator of -117/170 and -71/170. 170 Calculate the least common multiple of 18 and 60. 180 Find the common denominator of 139/1260 and 1/180. 1260 Calculate the common denominator of -4/277 and -29/4986. 4986 What is the least common multiple of 9 and 18? 18 What is the smallest common multiple of 7 and 15? 105 Calculate the common denominator of -59/12 and 23/168. 168 Calculate the common denominator of 103/24 and -11/592. 1776 Find the common denominator of 83/1356 and 23/904. 2712 Calculate the least common multiple of 22 and 11. 22 What is the common denominator of 45/2 and 24/2179? 4358 What is the least common multiple of 944 and 72? 8496 What is the common denominator of -86/495 and 23/4950? 4950 What is the common denominator of 23/7 and -23/425? 2975 What is the least common multiple of 2 and 84? 84 Calculate the common denominator of 89/224 and -29/224. 224 What is the common denominator of 13/7 and 44/65? 455 What is the smallest common multiple of 440 and 132? 1320 Calculate the common denominator of -91/44 and -31/24. 264 What is the common denominator of -11/475 and -48/475? 475 What is the common denominator of 13/9 and -169/9390? 28170 Calculate the common denominator of -157/90 and 109/36. 180 What is the least common multiple of 5 and 25? 25 What is the common denominator of -101/20 and 35/86? 860 Calculate the lowest common multiple of 22 and 4. 44 Find the common denominator of 89/36 and -107/468. 468 Find the common denominator of -109/1316 and -79/3290. 6580 Find the common denominator of -67/15 and -169/150. 150 Calculate the common denominator of 119/90 and 65/18. 90 Calculate the smallest common multiple of 2136 and 8. 2136 Find the common denominator of -73/842 and 29/2526. 2526 What is the lowest common multiple of 660 and 96? 5280 Calculate the least common multiple of 18 and 156. 468 Find the common denominator of -131/60 and 103/60. 60 What is the least common multiple of 279 and 310? 2790 Calculate the smallest common multiple of 147 and 483. 3381 Calculate the smallest common multiple of 8 and 106. 424 Calculate the common denominator of -41/280 and -41/80. 560 Calculate the lowest common multiple of 511 and 146. 1022 What is the lowest common multiple of 3759 and 70? 37590 Find the common denominator of -143/72 and -79/9
{ "pile_set_name": "DM Mathematics" }
f 156*b**2*z**2 + b**2*z + 3*b**2 - 39*b*z + 2*z**5 wrt z? 312*b**2 + 40*z**3 Find the first derivative of -2*b*v - 103*b - 139*v wrt v. -2*b - 139 What is the derivative of -489*q + 2612 wrt q? -489 What is the third derivative of -2*i**3*k**2 + 41*i**3 - 141*i**2*k**2 - 2*i*k**2 wrt i? -12*k**2 + 246 What is the second derivative of -25*l**3 - 9*l**2 + 1289*l wrt l? -150*l - 18 What is the derivative of 101*f*i**3 + 2*f*i**2 - 3*f*i - f - 627 wrt i? 303*f*i**2 + 4*f*i - 3*f Find the third derivative of 3*p**2*r**3 - p**2*u - 5*p*r**4*u + p*r**3*u - 5*p*r**2 + 7*u wrt r. 18*p**2 - 120*p*r*u + 6*p*u Find the second derivative of 51*p**2*r**3 + 110*p**2*r**2*z + 20*p*r**3*z - 5*p*r**3 - z wrt p. 102*r**3 + 220*r**2*z Find the second derivative of -7*i*o**2 - 30*i*o - 3*o**2 + 4*o - 1 wrt o. -14*i - 6 What is the derivative of -2*l**3 + 2*l**2 + 822*l + 3682 wrt l? -6*l**2 + 4*l + 822 What is the first derivative of 2*n**3*s**2 + 31*n**3 - n*s**4 - n - 9*s**4 wrt s? 4*n**3*s - 4*n*s**3 - 36*s**3 What is the derivative of 1308*b*l + 556*l wrt b? 1308*l What is the second derivative of 11*d**4*r - d**3*r**2 - 45*d**2 - 2*d*r**2 - 14*d - 2*r**2 + 14 wrt d? 132*d**2*r - 6*d*r**2 - 90 What is the second derivative of 1265*d**2*i**3*w**2 + 2*d**2*i**3 - 859*i**3*w - 2*i**3 wrt w? 2530*d**2*i**3 Differentiate -2*c*f**2 + 2*c*f*z + 2*c*z + 151*c - 2*f**2*z**2 + 16*z**2 with respect to z. 2*c*f + 2*c - 4*f**2*z + 32*z What is the second derivative of 296*s**4 - 353*s wrt s? 3552*s**2 Differentiate -4895*d**4 - 6022 wrt d. -19580*d**3 Find the second derivative of 165*g**2*h**3*o + g*h**3 + 7*g*h**2*o - 2*h**3*o - 58*h*o wrt g. 330*h**3*o What is the derivative of 873*h**2 + 462 wrt h? 1746*h What is the third derivative of 281*r**3 - 6*r**2 - 12*r wrt r? 1686 Find the second derivative of 2*c**2*s*z**2 + 4*c**2*z**2 + 3*c**2*z - 29*c**2 + s*z + 19*z**2 wrt z. 4*c**2*s + 8*c**2 + 38 Find the third derivative of 1149*s**3 + 6489*s**2 + s. 6894 What is the third derivative of -29*f**6 + 12*f**3 + 497*f**2 + 4*f + 2? -3480*f**3 + 72 Find the first derivative of -346*t**3 + 496 wrt t. -1038*t**2 What is the second derivative of h**3*u**3 + 10*h**3*u**2 + 2*h**2*u - h*u**3 + 207*u**3 wrt h? 6*h*u**3 + 60*h*u**2 + 4*u Find the second derivative of a**4 - 18*a**3*y**2 - a*y**2 - a + y wrt a. 12*a**2 - 108*a*y**2 What is the first derivative of 4*d**3*j**2*u - 53*d*j*u**3 + 37*j**2*u + 3*j*u**3 wrt d? 12*d**2*j**2*u - 53*j*u**3 What is the second derivative of -987*a**4 - 3*a - 15 wrt a? -11844*a**2 What is the third derivative of -4323*p**6 - 7553*p**2? -518760*p**3 Differentiate -14*i*j**3 + 3*i*j + 713*j**3 - 2*j wrt i. -14*j**3 + 3*j What is the third derivative of 12*j*w**4 + 3*j*w**2 - j + 3*w**6 - w**5 + 16*w**2 wrt w? 288*j*w + 360*w**3 - 60*w**2 What is the derivative of 2*k**2*w + 66*k*w + 169*w + 2 wrt k? 4*k*w + 66*w What is the third derivative of 8*p**3*y**3 - 2*p**3*y**2 - 3*p**2*y**4 + 16*p**2*y**2 - 2*p - 7*y**4 wrt y? 48*p**3 - 72*p**2*y - 168*y What is the third derivative of 5102*w**3 + 791*w**2 + 2? 30612 What is the second derivative of 5443*m**3*o**4 + 3*m**3 + 1846*m**2*o - o**4 - 1 wrt o? 65316*m**3*o**2 - 12*o**2 What is the third derivative of -131*l**5 - 3*l**3 + 133*l**2? -7860*l**2 - 18 What is the second derivative of 67*l**3*z - 4*l**2*q**2 + 2*l**2*q*z + 2*l**2*q - l*q**2*z - 376*l*q**2 wrt l? 402*l*z - 8*q**2 + 4*q*z + 4*q What is the first derivative of -2*c*l*t**2 + 694*c*t - 21*l*t - 8*t**2 wrt c? -2*l*t**2 + 694*t What is the third derivative of 2*b*q**3*w + 76*b*q**3 - 56*b*q**2*w - b*q**2 - 3*b*w - 2*q**3 wrt q? 12*b*w + 456*b - 12 Find the third derivative of 2*s**5 + 27*s**4 - 165*s**2 wrt s. 120*s**2 + 648*s Find the second derivative of -a**4 + 17914*a**3*b - 1393*a - 5*b wrt a. -12*a**2 + 107484*a*b Find the first derivative of 2*f**2 - 78*f - 146 wrt f. 4*f - 78 Differentiate d**2*h*q - 3*d**2*q + 20*d*q + 2*d + 2*h**2 + 510*h*q wrt h. d**2*q + 4*h + 510*q Find the second derivative of -51*l*y**3 - 2*l*y**2 - 2*l*y - 1452*l + 2*y**3 - 29*y**2 - 1 wrt y. -306*l*y - 4*l + 12*y - 58 Find the third derivative of f**6*r**2 + 216*f**4*r**2 + f**2*r**2 - f**2 - 2*f + 180*r**2 wrt f. 120*f**3*r**2 + 5184*f*r**2 Differentiate f*z**2 - 65*f*z + 9870*f - 27*z**2 with respect to z. 2*f*z - 65*f - 54*z Find the third derivative of 1057*l**6 - 24*l**2 - 17*l. 126840*l**3 Find the second derivative of -895*f**2*t*w**2 - 2*f**2*w**2 - 8*f*t*w**2 - 51*f*t*w - 2*f*t wrt f. -1790*t*w**2 - 4*w**2 What is the third derivative of 1701*g**3 - 34*g**2 - 40*g - 3 wrt g? 10206 What is the derivative of -628*a*u - 323*u wrt a? -628*u What is the second derivative of -2210*t**2 - 52*t - 18 wrt t? -4420 What is the third derivative of 8*j**6 - 3*j**4*s**3 - 5*j**2*s**3 + 24*j**2 wrt j? 960*j**3 - 72*j*s**3 Find the third derivative of 2403*u**3*z**4 + 2*u**3*z + 2*u**3 + 66*u**2*z**2 + 13*u*z + 2*z**6 wrt z. 57672*u**3*z + 240*z**3 What is the derivative of 3*k**2*m**2*y - 709*k**2*m**2 + 20*k*y + 4*m**2*y - m**2 wrt y? 3*k**2*m**2 + 20*k + 4*m**2 What is the third derivative of -64*v**4 + 183*v**2? -1536*v Find the third derivative of 28*b**2*i**3 + b**2 - 122*b*i**4 + 10353*b*i**2 - 2*i**3 wrt i. 168*b**2 - 2928*b*i - 12 What is the first derivative of -93*w**2 + 214? -186*w Find the first derivative of i**3*j*u + 28*i**3*j + i**3 + i**2*j - 4677*j*u - 3 wrt u. i**3*j - 4677*j What is the second derivative of 348*u**2 - 357*u? 696 Find the third derivative of 56*j**2*k**4 - 3*j**2 + 2*j*k**4 + 25*j*k**2 - 2*j - k**4 wrt k. 1344*j**2*k + 48*j*k - 24*k What is the first derivative of -d**2 - 2*d*l + 5*d - 15*l + 1 wrt d? -2*d - 2*l + 5 Find the third derivative of -515*f**4 + 603*f**2 wrt f. -12360*f Find the second derivative of -3*a**3*b**2 + 2*a**3 - 15*a**2*b + 5*a*b**3 + 4*a - 4*b**2 wrt b. -6*a**3 + 30*a*b - 8 What is the second derivative of -184*c**3*j**2 - 3*c**3*j*p**2 - 2*c**2*j**2*p - 858*c*j**2*p**2 + 4*c*j**2*p wrt p? -6*c**3*j - 1716*c*j**2 What is the derivative of -331*i**3 + 661 wrt i? -993*i**2 Differentiate 13961*q**3*v - 1364*q**3 - 6 wrt v. 13961*q**3 What is the third derivative of 778*i**6 + 321*i**2? 93360*i**3 Find the first derivative of -t*w + 305*t + 20*w wrt w. -t + 20 Differentiate -2*c*h - 2*c - 327*h**4 + 5*h**2 - 6588 wrt h. -2*c - 1308*h**3 + 10*h Find the second derivative of 224*n**2*u**2 + 2*n**2*u - 86*n**2 + 5*n*u**2 - n*u wrt u. 448*n**2 + 10*n Find the third derivative of -1969*p**3*q - 3*p**3 - 95*p**2*q - p**2 + 4 wrt p. -11814*q - 18 Find the second derivative of 13*h**2*k**3 + 4*h**2*k*r**2 + h*k**3 + 5*h*k**2*r**2 - 2*h*k*r**2 - 3*k**3*r**2 wrt h. 26*k**3 + 8*k*r**2 Differentiate 4*d**3 + 68*d**2 + 543. 12*d**2 + 136*d What is the second derivative of 375*f**4 - 363*f wrt f? 4500*f**2 Find the third derivative of 869*a**3 + 4129*a**2 wrt a. 5214 Find the second derivative of -181*x**3 + 2*x**2 + 42*x - 5 wrt x. -1086*x + 4 Differentiate -24*a**3*r + 107*a**3 + a - 3*r**2 with respect to r. -24*a**3 - 6*r What is the first derivative of -13633*g**4 - 2207 wrt g? -54532*g**3 What is the third derivative of 1977*l**6 + 421*l**2? 237240*l**3 What is the first derivative of 437*d**2*r**4 - 3*d**2 - 69 wrt r? 1748*d**2*r**3 Find the third derivative of 462*f**3 + 3*f**2 - 7 wrt f. 2772 What is the third derivative of -q**6 + 6*q**3 - 4*q**2 - 82 wrt q? -120*q**3 + 36 What is the second derivative of -3552*p**4 - 1663*p? -42624*p**2 What is the third derivative of b*r*s**3 - 2*b*r - 2*b*s**4 - 2*b*s**2 + r*s**2 - 29*s**4 + 5*s**2 wrt s? 6*b*r - 48*b*s - 696*s Find the third derivative of 3*j**3*r**5 - 177*j**3*r**2 + 5*j**2*r - 115*j*r**6 wrt r. 180*j**3*r**2 - 13800*j*r**3 Find the third derivative of -254*u**4 - 69*u**2 wrt u. -6096*u What is the derivative of -3*k**3 + 8*k**2 + 28*k - 20721 wrt k? -9*k**2 + 16*k + 28 Find the second derivative of 2*f**2*y**2 - 6*f**2*z + 121*f*y**2*z**2 + 2*y**2*z**2 + 5*y*z**2 wrt y. 4*f**2 + 242*f*z**2 + 4*z**2 Find the first derivative of -180*f**4 + 4*f**3 - 320. -720*f**3 + 12*f**2 Differentiate 183*c**4 - c**3*i - 367*i wrt c. 732*c**3 - 3*c**2*i What is the second derivative of -5*r**5 + 7*r**3 + 2*r + 10? -100*r**3 + 42*r Find the third derivative of 345*d**
{ "pile_set_name": "DM Mathematics" }
d*c + n and give d. -4 Rearrange -9*u**2 + 4*u + 19*u**2 - 7*u**2 + 3*u to the form n*u + o + r*u**2 and give n. 7 Rearrange (2*k + 3*k - 3*k)*(17 - 41 + 13) + (-4 + 2 + 3)*(-5*k - k + 4*k) to c + q*k and give q. -24 Rearrange -20*x**2 + 29*x**2 + 14*x**2 to the form p*x + t + s*x**2 and give s. 23 Express -36*j - 14*j + 10*j as z*j + o and give z. -40 Rearrange (-2*f + 2*f + 5*f**2)*(2 - 2 + 6) to o + k*f**2 + a*f and give k. 30 Rearrange (-3*l - 2*l + 0*l)*(-1 + 2 - 6) to c + s*l and give s. 25 Rearrange -29*b - 28*b + 19*b to h*b + l and give h. -38 Rearrange 14*s - 6*s + 2*s to the form m*s + l and give m. 10 Express j**3 - 7*j + 14*j + 2*j**3 - 2*j**3 in the form p*j**3 + x*j**2 + l + u*j and give u. 7 Express (0*j + 3*j + 0*j)*(-3*j + 7*j - 3*j)*(4 - 7 - 3) in the form a*j + u + t*j**2 and give t. -18 Rearrange -3*s**3 + 5*s**3 + 10 - 3*s + 0*s**3 + s to the form h*s**3 + m*s + q*s**2 + x and give m. -2 Express 2 - 2 - 2*k**2 + (-3 - 3 + 5)*(k**2 - 2*k**2 + 6*k**2) in the form c*k**2 + q + i*k and give c. -7 Express i - 2*i + 6*i in the form o + p*i and give o. 0 Rearrange (5 + a - a**2 - 2 + 0*a**2)*(-3*a + 2*a - 8*a**2 + 9*a**2) to the form b*a**3 + c*a**2 + n*a**4 + g + o*a and give o. -3 Express 2*o**4 + 4*o - 4*o + o**4 + 3*o**4 + 18*o**4 + (-5 + 0 + 3)*(-o**4 + 3*o**4 - 4*o**4) as d*o + p*o**2 + h*o**3 + r*o**4 + g and give d. 0 Express -12 - 35*u**2 + 72*u**2 + 2 + 11 in the form q*u + g*u**2 + m and give g. 37 Express 0*f**2 + f**4 - 2 + 2*f + 2*f**2 + 0*f in the form x*f**3 + o*f + r + v*f**2 + l*f**4 and give l. 1 Express (0 - 3 + 0)*(-v + 0 + 0)*(1 - 7 + 1) in the form b*v + o and give b. -15 Rearrange -7 + 8 - 1 + 18*m to b*m + v and give b. 18 Rearrange -19*y**2 - 9*y - 7*y**2 + 9*y to v + q*y + s*y**2 and give s. -26 Rearrange t**3 + 5*t**3 - t - 2 - t to j + y*t + k*t**2 + l*t**3 and give l. 6 Express 3*y + 3*y - 5*y + 1 + 2*y - 1 + (0 + 3 - 9)*(-2*y - 1 + 1) in the form r*y + k and give r. 15 Rearrange -41*o**3 - 3*o**2 + 40*o**3 - o**4 + 0*o**4 to the form z*o + h*o**3 + g*o**4 + t + a*o**2 and give z. 0 Rearrange 3*h**4 - 1 - 5*h**3 - h**4 + 2*h**2 + 2*h**3 + 0 + h to the form u*h**3 + z*h + r + d*h**4 + w*h**2 and give z. 1 Express -2*a**4 - 3*a + 7*a**3 + a**3 + 3*a**2 - 7*a**3 + 7*a as z*a + h*a**4 + j*a**2 + b*a**3 + r and give j. 3 Express -8 + 7*n + 7*n - 13*n as j + m*n and give j. -8 Rearrange -1 + 1 - w + (3 + 2 - 1)*(-2*w + 3*w - 2*w) to r + f*w and give f. -5 Express (-132 + 132 + 14*f)*(-2*f + 3*f**3 + 2*f) + 2*f**4 - f**4 + 0*f**4 in the form y*f**2 + q*f**4 + g*f**3 + m*f + u and give q. 43 Rearrange -2*i - 4*i - 12*i to t + p*i and give p. -18 Rearrange p**2 - 3*p**3 + 4 + 0*p**2 + 4*p - 4 to x*p**3 + i*p + r*p**2 + u and give u. 0 Express (-3 - p + 3)*(0 - 1 + 2)*(18 - 1 + 2) in the form y + c*p and give c. -19 Express -1 - 4*u**3 + 2*u**3 + 2*u + 0*u**2 - 3*u**2 as s + f*u**2 + l*u + c*u**3 and give l. 2 Rearrange -9*k + 0*k - 8*k - 3*k + 2*k + 2*k + (4*k - 4*k - k)*(-3 + 1 + 0) - k - 2*k + 5*k - k + k + k to f + a*k and give a. -11 Express 26*r**3 - 45*r**3 - 2*r**2 - 11*r**3 + (-2 + 7 - 3)*(-r**3 - 4*r**3 + 2*r**3) in the form d*r**2 + a*r**3 + t + s*r and give d. -2 Express -8*f**2 - 16 + 7*f**2 - 2*f**4 + 5 in the form t + g*f**4 + s*f**2 + i*f**3 + j*f and give g. -2 Rearrange 2*h**4 - 55*h**2 + 2*h**3 - 4*h**3 + 58*h**2 to g*h**2 + y*h**4 + p*h + v*h**3 + l and give p. 0 Rearrange -1 + 0 + g + 1 to the form z*g + m and give z. 1 Express -o**3 + 5*o**3 + 0*o**3 + (o - 3*o - 6*o)*(-o**2 + 3*o**2 - 4*o**2) in the form s*o + v + y*o**3 + q*o**2 and give y. 20 Rearrange -m + 6*m**2 + m + 16*m**2 to r + b*m**2 + j*m and give b. 22 Rearrange 2*s**3 - 1 + 1 + (-2 - 2 + 6)*(2*s**3 - 20*s**3 - 19*s**3) + (5*s**2 - 3*s**2 - s**2)*(-4 + s + 4) to z*s**2 + u*s + v*s**3 + c and give v. -71 Rearrange 9 - 2*i**3 - 22 - 2*i**2 + 17 to the form s*i**2 + k*i + z*i**3 + t and give t. 4 Rearrange (2*c**2 + 4*c - 4*c)*(-21 - 25 + 11) to u*c**2 + x*c + w and give u. -70 Rearrange 451 - 451 - 4*i**3 - i**2 to u + x*i + q*i**3 + f*i**2 and give q. -4 Express -185*l + l**2 - 5*l**3 + 185*l in the form o*l**3 + d + a*l + j*l**2 and give j. 1 Express (-3 + 0 + 7)*(2*k**4 - 7*k**4 - 2*k**4) in the form t*k**2 + z*k**4 + d*k**3 + g + b*k and give z. -28 Rearrange -50 + 95 - 3*d**2 + 7*d + 5*d**2 - 51 to q*d**2 + c + b*d and give q. 2 Express (-24*u + 10*u + 10*u - 4)*(-u**3 - 2*u**3 + u**3) as m*u**3 + g*u**2 + x*u + z*u**4 + w and give m. 8 Rearrange 3*p + 3*p - 4*p + (2 - 1 - 2)*(-4*p + 0*p + 8*p) - 3 - p + 3 to the form w + c*p and give c. -3 Rearrange ((-r + 2 - 2)*(-2*r + 3*r + 0*r) - 4*r**2 - r**2 + 3*r**2)*(16 - 16 - 14*r) to l*r**3 + v*r + q + f*r**2 and give q. 0 Rearrange 2*m**4 + 2*m - 4*m**4 - 4*m - 3 - 3*m**3 to s*m**2 + p*m**4 + t*m + n + y*m**3 and give t. -2 Express -2*u + 2*u - 5 + 32*u**2 - 33*u**2 as x*u**2 + s + k*u and give x. -1 Express (q + 3*q - 3*q)*(-14*q + 29*q + 8 - 16*q) as x*q + y*q**2 + j and give x. 8 Express (2*k**2 - 2 + 2)*(1 - 1 + k**2) + (-3*k**3 - 3*k**3 - 2*k**3)*(-6*k - 3*k + 2*k) in the form o + y*k + m*k**4 + g*k**2 + z*k**3 and give m. 58 Rearrange (39*n + n**2 + 4*n**2 - 41*n)*((5*n - 2*n + 6*n)*(2 + 4 - 4) + 3*n - 2*n + 0*n) to h + s*n**2 + i*n**3 + o*n and give s. -38 Express 5*h**2 + 0*h**2 - 2 + 4*h + 0*h - 6*h as u*h + m + j*h**2 and give m. -2 Rearrange 2*j + j - 2*j + (4*j - j - 5*j)*(-4 + 1 + 1) + (-3 + 6 - 2)*(j + 3*j - 6*j) - j + 3*j + j to u*j + r and give u. 6 Rearrange 3*n**4 - 1 - 4*n**4 - 13*n**3 + 0 to the form p*n**2 + o + r*n**3 + l*n**4 + t*n and give t. 0 Express 10 + b - 2*b**3 + 7 + b - 15 in the form r*b**2 + v*b + c*b**3 + j and give v. 2 Express ((-4 + 1 + 1)*(-f**4 - 4*f**4 + 3*f**4) + 2 - 2 + 4*f**4)*(-3 - 1 + 3) as w*f**3 + v + l*f + y*f**2 + a*f**4 and give a. -8 Express (-3 - 5 + 3)*(0*t**2 - t**2 + 0*t**2) + 8*t**2 - 13*t**2 + 10*t**2 as n + b*t**2 + r*t and give b. 10 Express -7 + 4 + 6 + 10*a - 3*a as t*a + s and give t. 7 Express (0 + 4 - 2)*(2*a - 2*a - a)*(2*a + 0*a - 3*a)*(-4*a**2 - 5*a**2 + 4*a**2) in the form x*a**3 + z + j*a**4 + c*a**2 + r*a and give j. -10 Express -28*u + 29*u - 5*u**2 - 6*u**2 as a*u**2 + z + k*u and give k. 1 Rearrange (3*v - 4*v + 3*v)*((4*v + 21 - 21)*(2 - 4 + 0) + 3*v + v - 6*v)*(-2*v - 3*v + 6*v) to the form b*v**2 + q*v + h + n*v**3 and give n. -20 Rearrange -a**2 - 2 - 2*a - 9*a**3 - 2*a + 8*a**3 - 4*a to the form g*a + j*a**2 + f + w*a**3 and give f. -2 Rearrange 17*n - 3*n + 5*n to the form h*n + r and give r. 0 Rearrange -2*o**3 + 15*o**3 + 2*o**4 + 8 - 2*o**2 - 7 to f*o**2 + p*o**3 + k + u*o**4 + x*o and give u. 2 Rearrange (-4 + 1 + 2)*(2*v - 4*v + 40*v) - 2*v + v + 0*v to the form y*v + b and give y. -39 Express i**3 - 147*i**2 + 0*i**4 - 6*i**4 + 145*i**2 as o*i**3 + a + v*i + f*i**4 + k*i**2 and give o. 1 Rearrange 15*d**2 - 33*d**2 + 2*d**3 + 16*d**2 - 1 + 2*d**4 to the form v*d**3 + l*d + h + w*d**2 + n*d**4 and give h. -1 Express 0*x**2 - 14*x + 2*x**2 + 13*x + 2*x**3 + x**4 as z*x**3 + v + t*x**2 + k*x + s*x**4 and give k. -1 Rearrange 2*y**2 + 4*y**2 - y**2 + (1 - 3 - 3)*(4 - y**2 - 4 + 0*y + y**2 + 0*y + (-2 + 1 + 2)*(-4*y**2 + 4*y**2 + 2*y**2)) to o + n*y**2 + a*y and give n. -5 Express 49*n + 8*n**4 + 1 + n**2 + 2*n**3 - 49*n in the form w*n**4 + l + o*n + j*n**2 + m*n**3 and give m. 2 Express 45*w**3 + 12 - 101*w**3 + 49*w**3 in the form x*w**3 + l*w**2 + k + d*w and give k. 12 Express (-2*c**3 + 4*c**2 - 6*c**2 - c**3)*((-6 + 5 + 0)*(0 - 1 + 3) - 1 + 3 + 1 + (-1 - 1 + 1)*(-4 + 0 + 2)) as q + n*c**2 + a*c**3 + k*c and give n. -6 Rearrange -2*b**2 + 4*b**2 + 0*b**2 + (2*b - 2*b + 3*b)*(-4*b - 2*b - 2*b) - 3 - 2*b**2 + 3 to u + a*b**2 + z*b and give u. 0 Express z - 19 - 40 + 44 + (-4*z + 2*z + 3*z)*(6 + 0 + 0) as u*z + n and give n. -15 Rearrange -6*m**4 - 3*m + 5*m + 0*m + 2 + 0*m**2 + 2*m**2 to the form r + a*m**3 + t*m**4 + p*m**2 + i*m and give p. 2 Rearrange (y + 2 - 2)*(184*y + 262*y + 15*y - 158*y) to j + v*y + c*y**2 and give c. 303 Express (2*l - 2*l + l**3)*(l + 3 - 3) + 3*l - 5*l**4 - 4*l + 10*l**4 as g*l**2 + n*l**3 + c + y*l + r*l**4 and give y. -1 Express (-7 + 4 - 7)*(-3*n - 2*n + 6*n + (-1 - 1 + 4)*(2*n - 1 + 1)) as q + y*n and give y. -50 Rearrange 20*z**2 - 43*z**2 - 22*z**2 to
{ "pile_set_name": "DM Mathematics" }
is divided by 627. 625 What is the remainder when 496401 is divided by 123262? 3353 Calculate the remainder when 517564 is divided by 2449. 825 Calculate the remainder when 4814621 is divided by 112. 77 Calculate the remainder when 7498503 is divided by 862. 827 Calculate the remainder when 42074 is divided by 1009. 705 What is the remainder when 453324012 is divided by 5? 2 What is the remainder when 186852 is divided by 25490? 8422 What is the remainder when 708444 is divided by 2035? 264 Calculate the remainder when 856219 is divided by 214023. 127 What is the remainder when 1666059 is divided by 5? 4 Calculate the remainder when 111993653 is divided by 57. 53 Calculate the remainder when 1099377 is divided by 549685. 7 Calculate the remainder when 187488058 is divided by 2051. 2046 Calculate the remainder when 106764371 is divided by 446. 445 Calculate the remainder when 19777969 is divided by 65. 29 Calculate the remainder when 36928 is divided by 2179. 2064 What is the remainder when 410334 is divided by 136768? 30 Calculate the remainder when 88277 is divided by 21931. 553 What is the remainder when 694172 is divided by 115602? 560 Calculate the remainder when 39540297 is divided by 37. 25 Calculate the remainder when 11291655 is divided by 61. 6 What is the remainder when 19781 is divided by 821? 77 Calculate the remainder when 170671399 is divided by 27. 25 Calculate the remainder when 812987 is divided by 1210. 1077 What is the remainder when 72953204 is divided by 1863? 1850 Calculate the remainder when 675473 is divided by 6197. 0 What is the remainder when 164480606 is divided by 237? 236 What is the remainder when 3014263 is divided by 1434? 1429 What is the remainder when 812493 is divided by 2955? 2823 Calculate the remainder when 936980 is divided by 93. 5 What is the remainder when 101958 is divided by 50960? 38 Calculate the remainder when 14325494 is divided by 15. 14 Calculate the remainder when 102926519 is divided by 25. 19 Calculate the remainder when 17351632 is divided by 17351623. 9 What is the remainder when 306744 is divided by 109? 18 Calculate the remainder when 9836931 is divided by 23. 15 Calculate the remainder when 48362 is divided by 816. 218 What is the remainder when 38245 is divided by 636? 85 What is the remainder when 42505833 is divided by 48? 9 Calculate the remainder when 46320 is divided by 3552. 144 What is the remainder when 2637481 is divided by 14? 7 Calculate the remainder when 4268128 is divided by 1422693. 49 Calculate the remainder when 146309 is divided by 71957. 2395 What is the remainder when 79921971 is divided by 294915? 6 What is the remainder when 98451 is divided by 104? 67 What is the remainder when 12623376 is divided by 1247? 1242 Calculate the remainder when 53055 is divided by 568. 231 What is the remainder when 18597507 is divided by 1690682? 5 What is the remainder when 595153 is divided by 3628? 161 What is the remainder when 45288 is divided by 7373? 1050 Calculate the remainder when 22336237 is divided by 9102. 9031 Calculate the remainder when 173455 is divided by 21665. 135 Calculate the remainder when 1730599 is divided by 75227. 378 Calculate the remainder when 366955 is divided by 10191. 79 What is the remainder when 1589979 is divided by 5540? 5539 What is the remainder when 110486 is divided by 1556? 10 What is the remainder when 2788723 is divided by 2599? 2595 What is the remainder when 40582 is divided by 12673? 2563 Calculate the remainder when 4051550 is divided by 2732. 2726 Calculate the remainder when 888302 is divided by 6344. 142 What is the remainder when 16870 is divided by 110? 40 What is the remainder when 265536 is divided by 168? 96 Calculate the remainder when 15908973 is divided by 25. 23 Calculate the remainder when 21067279 is divided by 37. 34 Calculate the remainder when 780950759 is divided by 901. 900 Calculate the remainder when 242488 is divided by 265. 13 What is the remainder when 112097227 is divided by 4194? 4189 Calculate the remainder when 64020 is divided by 10635. 210 What is the remainder when 6808898 is divided by 284? 282 What is the remainder when 26767 is divided by 1854? 811 Calculate the remainder when 128171 is divided by 35. 1 Calculate the remainder when 19955856 is divided by 573. 558 What is the remainder when 680261 is divided by 5447? 4833 What is the remainder when 88022041 is divided by 769? 763 Calculate the remainder when 484159 is divided by 215. 194 Calculate the remainder when 4718320 is divided by 254. 16 Calculate the remainder when 620495 is divided by 7215. 5 What is the remainder when 151510935 is divided by 782? 781 Calculate the remainder when 66005459 is divided by 33002723. 13 Calculate the remainder when 30085 is divided by 29863. 222 Calculate the remainder when 5198390 is divided by 1732793. 11 What is the remainder when 167494 is divided by 2993? 2879 Calculate the remainder when 40975 is divided by 40726. 249 What is the remainder when 1446723 is divided by 311? 262 Calculate the remainder when 264879 is divided by 26475. 129 What is the remainder when 126477 is divided by 14032? 189 Calculate the remainder when 215288508 is divided by 104. 84 Calculate the remainder when 1071017 is divided by 118996. 53 What is the remainder when 150206 is divided by 7507? 66 Calculate the remainder when 14731789 is divided by 2571. 2530 What is the remainder when 484588 is divided by 4135? 793 Calculate the remainder when 459327 is divided by 117. 102 Calculate the remainder when 484021 is divided by 7680. 181 What is the remainder when 124963188 is divided by 9? 6 What is the remainder when 37838 is divided by 548? 26 What is the remainder when 216236 is divided by 447? 335 What is the remainder when 122019728 is divided by 670? 668 What is the remainder when 88994 is divided by 11100? 194 Calculate the remainder when 6667299 is divided by 29. 25 Calculate the remainder when 1899142 is divided by 90. 52 Calculate the remainder when 46602 is divided by 382. 380 What is the remainder when 188863782 is divided by 4376? 4374 What is the remainder when 952277 is divided by 575? 77 Calculate the remainder when 6743 is divided by 857. 744 Calculate the remainder when 14936911 is divided by 5373. 5344 Calculate the remainder when 1666730 is divided by 555574. 8 Calculate the remainder when 2176071 is divided by 1. 0 What is the remainder when 41950 is divided by 433? 382 What is the remainder when 6409436 is divided by 81? 68 Calculate the remainder when 4498847 is divided by 8602. 1 Calculate the remainder when 11684314 is divided by 80. 74 What is the remainder when 15560578 is divided by 5186848? 34 Calculate the remainder when 9207809 is divided by 148. 137 Calculate the remainder when 1247935 is divided by 802. 23 Calculate the remainder when 28959280 is divided by 15. 10 What is the remainder when 139871 is divided by 230? 31 What is the remainder when 75179 is divided by 3721? 759 What is the remainder when 5980687 is divided by 147? 139 Calculate the remainder when 40651 is divided by 4052. 131 Calculate the remainder when 193805 is divided by 64098. 1511 Calculate the remainder when 2657400 is divided by 5150. 0 Calculate the remainder when 89985112 is divided by 306. 304 What is the remainder when 9057716 is divided by 244803? 5 What is the remainder when 1085833 is divided by 754? 73 What is the remainder when 8067546 is divided by 1344589? 12 What is the remainder when 723383 is divided by 29? 7 Calculate the remainder when 240659 is divided by 13358. 215 What is the remainder when 44482 is divided by 2226? 2188 Calculate the remainder when 618130 is divided by 746. 442 Calculate the remainder when 9115 is divided by 1815. 40 Calculate the remainder when 222613 is divided by 455. 118 Calculate the remainder when 3487032 is divided by 91. 3 Calculate the remainder when 231550 is divided by 917. 466 Calculate the remainder when 185203 is divided by 288. 19 Calculate the remainder when 3160888 is divided by 32584. 240 What is the remainder when 455669384 is divided by 1342? 1336 What is the remainder when 274160 is divided by 273954? 206 Calculate the remainder when 1644775 is divided by 205588. 71 Calculat
{ "pile_set_name": "DM Mathematics" }
n + 23 = 0. Find the second derivative of -k*r**2 - 7*r**2 - 51*r + 41*r + 26*r wrt r. -28 Let n(h) be the third derivative of 0*h**7 + 0*h**3 + 35/24*h**4 - 9*h**2 + 0*h**6 + 0*h**5 + 13/336*h**8 + 0*h + 0. Find the second derivative of n(k) wrt k. 260*k**3 Let f = -71 + 71. Let o(a) be the third derivative of -2*a**2 - 1/120*a**6 + f*a**5 + 0 + 0*a**4 + 0*a - 2/3*a**3. What is the derivative of o(y) wrt y? -3*y**2 Let j(b) be the second derivative of -28*b**5/5 - 29*b**4/12 + 108*b. What is the third derivative of j(d) wrt d? -672 Suppose 0 = 2*p - 7*p + 9*p. Let o(g) be the second derivative of 1/2*g**5 + 0*g**3 - 7*g + p*g**4 + 0 - 3*g**2. What is the derivative of o(w) wrt w? 30*w**2 Let k(c) be the second derivative of 409*c**4/12 - 343*c**3/3 + 3*c - 63. Find the second derivative of k(d) wrt d. 818 Suppose -3*g = -g - 2*i - 12, -4*g - 12 = 5*i. Suppose 3*o = -3*k + 5*k + 2, 2*o = g*k. What is the third derivative of -x**6 + 0*x**2 - 3*x**2 + 6*x**o wrt x? -120*x**3 Let n(o) be the second derivative of o**6/30 - 153*o**5/20 - o**4/6 - 11*o**3 - 2*o - 37. Find the third derivative of n(f) wrt f. 24*f - 918 Let w(i) = 1 + 5 + 3*i**3 - 2. Let c(d) = -d**3 - 1. Let g(t) = 11*c(t) + 4*w(t). Differentiate g(q) wrt q. 3*q**2 Suppose 6*c + 3 = 7*c. Let s(q) be the second derivative of -4/3*q**c - 9/20*q**5 + 0 + 0*q**4 - 8*q + 0*q**2. Find the second derivative of s(x) wrt x. -54*x What is the second derivative of 3460 - 3466 + 4*j**5 - 151*j**5 + 3*j wrt j? -2940*j**3 Let p(z) be the first derivative of z**8/30 - 17*z**6/120 - 20*z**3/3 + 52. Let d(l) be the third derivative of p(l). Find the third derivative of d(v) wrt v. 1344*v Let t(d) = 547*d**3 + 9*d**2 - 9*d + 561. Let y(b) = -273*b**3 - 4*b**2 + 4*b - 280. Let j(o) = 4*t(o) + 9*y(o). Differentiate j(q) wrt q. -807*q**2 Suppose d + 4 = 0, 5*l + 2*d + 20 = -3*d. Let r(o) be the first derivative of l*o**2 - 2*o + 2/3*o**3 - 2. Differentiate r(s) wrt s. 4*s Let c(d) = 2*d**3 - 3*d**2 - d + 2. Let x be c(2). Suppose -6 - 30 = -4*g. Find the second derivative of -10*a + g*a - 2*a**x - a**4 wrt a. -36*a**2 Let t(i) be the third derivative of -2*i**3 + 0 - 26*i**2 + 0*i - 9/8*i**4. Find the first derivative of t(c) wrt c. -27 Suppose -3*y = -7*y + 8. Suppose 6 = 4*c - y. What is the third derivative of n**4 - n**4 - 8*n**5 + 10*n**5 + 4*n**c wrt n? 120*n**2 Let f = -50 + 60. Find the third derivative of -10*l**2 + 8*l**4 + f*l**4 - 14*l**4 wrt l. 96*l Let q(g) = 228*g**2 - 6*g + 176. Let y(k) = 686*k**2 - 16*k + 529. Let n(t) = 8*q(t) - 3*y(t). What is the derivative of n(j) wrt j? -468*j Let n(f) be the second derivative of 0 + 0*f**4 - 8*f + 1/10*f**5 + 0*f**2 - 11/6*f**3. What is the second derivative of n(q) wrt q? 12*q Let u(y) be the second derivative of 9*y - 1/12*y**4 + 0*y**6 - 1/2*y**7 + 0 + 0*y**5 + 0*y**3 + 0*y**2. What is the third derivative of u(j) wrt j? -1260*j**2 Let p(a) be the third derivative of -27*a**2 + 0*a - 16/3*a**3 + 0 - 3/8*a**4. What is the derivative of p(s) wrt s? -9 Let c(v) = 115*v**2 + v + 11. Let z(q) = 344*q**2 + 4*q + 34. Let l(j) = -8*c(j) + 3*z(j). What is the second derivative of l(s) wrt s? 224 Let c(t) = 2361*t**2 + 795*t. Let d(n) = -787*n**2 - 265*n. Let z(l) = -4*c(l) - 11*d(l). What is the second derivative of z(b) wrt b? -1574 Let t(u) = -495*u**3 + 150*u**2 - 150. Let p(k) = -4*k**3 - 2*k**2. Let r(m) = -75*p(m) - t(m). What is the derivative of r(b) wrt b? 2385*b**2 Find the second derivative of 150*r**4 - 115*r - 92*r**4 - 1 - 591*r**4 wrt r. -6396*r**2 Suppose -5*c + 2 = -i - 3*i, -2*i + 3*c = 2. Let k(t) = 5*t - 4. Let d be k(i). What is the third derivative of 10*h**2 - 12*h**2 + 7*h**2 - 5*h**d wrt h? -600*h**3 Find the second derivative of 71*x**2 + 77*x**2 - 96*x**4 - 104*x - 218*x**2 + 69*x**2 wrt x. -1152*x**2 - 2 Let z be 4/(-2 - (-30)/9). Differentiate 6*a**2 + 8 + z + 2 + 1 with respect to a. 12*a Let b(t) = t**2 - 4*t - 5. Let s be b(-2). Find the first derivative of -5*k - s*k + 20*k - 9*k + 41 wrt k. -1 Let u(s) = 21*s**4 - 23*s**4 + s - 2*s - 25*s. Let g(b) = 2*b**4 + 27*b. Let r(x) = -5*g(x) - 6*u(x). Find the second derivative of r(f) wrt f. 24*f**2 Let r = -260 - -265. Let q(d) be the second derivative of 0 - 1/12*d**4 + 0*d**3 - 3*d - 1/10*d**r + 0*d**2. Find the third derivative of q(a) wrt a. -12 Let v(a) = a**3 + 11*a**2 - 14*a - 22. Let d be v(-12). What is the first derivative of -6*u**2 + 7*u**2 - u**2 - 20*u**4 - d wrt u? -80*u**3 Suppose -k = 4*h + 17 - 115, -2*h + 42 = -3*k. Suppose -3*r + h = r. What is the third derivative of 6*i**r - 2*i**2 - 5*i**2 + 6*i**2 wrt i? 720*i**3 Suppose -2*x - 25 = -29. Suppose -x*t = 2*o, -7*t = -4*o - 2*t + 18. Find the third derivative of 5*u**4 + 4*u**o + 0*u**2 + 2*u**4 wrt u. 168*u Let m(g) = g**2 + 5*g - 6. Let y be m(-6). Suppose y = x - 0 - 3. Differentiate z**3 + x*z**3 - 4 - 3 wrt z. 12*z**2 Suppose 12 = i + i. Let a(g) = -g**2 + 8*g - 8. Let x be a(i). What is the first derivative of 3 + 0 - 3 - 4 + x*t**3 wrt t? 12*t**2 Let d be (-3)/(-9) - (204/9)/(-4). What is the first derivative of 37 - 12*k**3 - 53 + d*k**3 wrt k? -18*k**2 Suppose 11*p = 12*p - 2. What is the second derivative of 5593*j**2 - 20*j + p*j**4 - 5593*j**2 wrt j? 24*j**2 What is the derivative of -25*g + 20 - 6*g**4 - 47*g + 19*g**4 - 11*g**4 wrt g? 8*g**3 - 72 Let m(t) = -10*t**3 + 149*t**2 - 3*t + 3. Let w(o) = o**3 + 2*o**2 - o + 1. Let i(y) = -m(y) + 3*w(y). Find the third derivative of i(l) wrt l. 78 Let c(g) be the first derivative of -40*g**3 - 151*g - 67. What is the derivative of c(b) wrt b? -240*b Let b(g) = -g**3 - 16*g**2 + 27*g - 25. Let j be b(-18). Find the first derivative of 125*m**2 - 277*m**2 + 32 + j*m**2 wrt m. -30*m Differentiate -75*d - 15*d**4 + 5*d**4 - 12 + d**4 + 7*d**4 + 362 wrt d. -8*d**3 - 75 Find the first derivative of 35 - 129 + 50*i**2 + 41 wrt i. 100*i What is the first derivative of -970 + 375 - 43*h**2 + 152*h**2 + 314 wrt h? 218*h Let j(r) = r + 2. Let v(y) = 114*y - 96. Let q(t) = -3*j(t) + v(t). Differentiate q(g) wrt g. 111 What is the derivative of 3*t**3 - 64 - 30 - 1 + 6*t**2 wrt t? 9*t**2 + 12*t Let f(o) = -184*o**3 + 167*o**2 + 2*o - 4. Let h(t) = -186*t**3 + 167*t**2 + 3*t - 6. Let d(m) = -3*f(m) + 2*h(m). What is the third derivative of d(g) wrt g? 1080 Let x(b) be the third derivative of -b**7/30 + 7*b**5/60 + 31*b**3/3 + 36*b**2. What is the first derivative of x(j) wrt j? -28*j**3 + 14*j Let n(g) = 3 - 2*g - 3 + g**3 + 3*g. Let h(w) = -4*w**3 - 10*w. Let a be (7 - 2)*6/15. Let s(l) = a*h(l) + 12*n(l). What is the second derivative of s(r) wrt r? 24*r Let t(h) be the second derivative of 32*h**4/3 + h**3/3 - 19*h**2/2 - 6*h - 3. What is the second derivative of t(v) wrt v? 256 Let o(j) = -3*j**3 - j**2 - 2*j - 1. Let a be 1*(-8 + 4 + 3). Let v be o(a). What is the third derivative of 2*w**v + 2*w**4 - 28*w**2 + 36*w**2 - 2*w**3 wrt w? 48*w Find the third derivative of v**4 + 3 + 231*v**6 + 0 - 6 - 236*v**2 - 85*v**2 + 5 wrt v. 27720*v**3 + 24*v Let m(v) = 9*v**3 - 7*v**2 + 17*v - 12. Let g(j) = -4*j**3 + 4*j**2 - 8*j + 7. Let z(r) = -7*g(r) - 4*m(r). Find the second derivative of z(d) wrt d. -48*d Let m(o) be the second derivative of 24*o**3 + 25*o**2/2 - 41*o. Differentiate m(b) with respect to b. 144 What is the third derivative of 75*k**2 - 15*k**2 + 30*k**2 - 387*k**3 + 64*k**2 + 55*k**2 wrt k? -2322 Let k(y) be the first derivative of -5 + 3/2*y**2 + 0*y**3 + 0*y + 0*y**5 + 2/3*y**6 + 0*y**4. What is the second derivative of k(x) wrt x? 80*x**3 Let o(d) be the second derivative of 0 + 13/30*d**6 + 1/2*d**2 + 0*d**3 + 0*d**5 + 2*d + 0*d**4. Differentiate o(w) wrt w. 52*w**3 Suppose -5*u - 20 = h, -4*h + u + 2 = -2. Suppose 4*y - 9*y + 20 = h. Find the second derivative of p**y - 2*p + 5*p - 4*p**4 - 4*p wrt p. -36*p**2 What is the first derivative of -164*o**2 - 40*o**2 + 8*o**3 + 2*o**3 + 520 + 5*o**3 - 16*o**3 wrt o? -3*o**2 - 408*o Differentiate 2*y + 14*y**3 + 231 + 2*y + 3*y - 2*y + 3*y wrt y. 42*y**2 + 8 Let v = 86 - 60. Let g = 28 - v. Find the first derivative of -g*h**3 + 10 + 3*h**3 - 6*h**3 wrt h. -15*h**2 Find the second derivative of -345*n - 34 + 216*n + 17 + 12 - 875*n**2 wrt n. -1750 Let t(x) be the first derivative of -3*x**7/280
{ "pile_set_name": "DM Mathematics" }
at is the c'th term of -265, -517, -769, -1021, -1273? -252*c - 13 What is the t'th term of -53, -125, -213, -323, -461, -633, -845? -t**3 - 2*t**2 - 59*t + 9 What is the o'th term of 57, 76, 95? 19*o + 38 What is the r'th term of -32, -51, -60, -59, -48? 5*r**2 - 34*r - 3 What is the k'th term of -98, -174, -250? -76*k - 22 What is the t'th term of -1920, -3846, -5774, -7704? -t**2 - 1923*t + 4 What is the f'th term of -19, -40, -71, -118, -187? -f**3 + f**2 - 17*f - 2 What is the o'th term of -3886, -7765, -11632, -15481, -19306? o**3 - 3886*o - 1 What is the v'th term of -20, 8, 54, 118, 200, 300? 9*v**2 + v - 30 What is the w'th term of -5, -29, -127, -347, -737, -1345, -2219, -3407? -8*w**3 + 11*w**2 - w - 7 What is the q'th term of -18, 17, 76, 159, 266, 397, 552? 12*q**2 - q - 29 What is the r'th term of -21, -90, -205, -366? -23*r**2 + 2 What is the h'th term of 38, 48, 56, 62? -h**2 + 13*h + 26 What is the q'th term of 22, 8, -30, -104, -226? -2*q**3 + 24 What is the t'th term of -1600, -1601, -1602, -1603, -1604, -1605? -t - 1599 What is the v'th term of 61, 140, 219, 298? 79*v - 18 What is the c'th term of -108, -218, -326, -432, -536? c**2 - 113*c + 4 What is the s'th term of 106, 94, 92, 106, 142? s**3 - s**2 - 16*s + 122 What is the t'th term of -39, -85, -135, -189, -247, -309? -2*t**2 - 40*t + 3 What is the n'th term of 22, 8, -54, -188, -418, -768, -1262, -1924? -4*n**3 + 14*n + 12 What is the l'th term of 578, 543, 484, 401, 294? -12*l**2 + l + 589 What is the y'th term of -103, -287, -781, -1741, -3323, -5683, -8977? -26*y**3 + y**2 - 5*y - 73 What is the l'th term of -100, -92, -76, -52, -20? 4*l**2 - 4*l - 100 What is the c'th term of -272, -293, -314, -335, -356? -21*c - 251 What is the c'th term of -33, -40, -47? -7*c - 26 What is the g'th term of 3, -14, -73, -198, -413, -742? -4*g**3 + 3*g**2 + 2*g + 2 What is the l'th term of -91, -87, -83, -79? 4*l - 95 What is the q'th term of 268, 515, 758, 997, 1232? -2*q**2 + 253*q + 17 What is the x'th term of 119, 247, 375, 503, 631? 128*x - 9 What is the w'th term of 13, 31, 47, 55, 49, 23, -29? -w**3 + 5*w**2 + 10*w - 1 What is the p'th term of -1991, -3990, -5989, -7988, -9987? -1999*p + 8 What is the h'th term of 1252, 1251, 1250, 1249? -h + 1253 What is the x'th term of -49, -192, -437, -790, -1257, -1844, -2557, -3402? -x**3 - 45*x**2 - x - 2 What is the k'th term of 45524, 45522, 45520, 45518, 45516, 45514? -2*k + 45526 What is the r'th term of -89, -90, -87, -80, -69, -54? 2*r**2 - 7*r - 84 What is the f'th term of 15, 20, 17, 0, -37, -100, -195? -f**3 + 2*f**2 + 6*f + 8 What is the c'th term of -1998, -1988, -1964, -1920, -1850, -1748, -1608, -1424? c**3 + c**2 - 2000 What is the n'th term of 391, 385, 377, 367, 355, 341, 325? -n**2 - 3*n + 395 What is the m'th term of 11, 6, 7, 14, 27, 46? 3*m**2 - 14*m + 22 What is the y'th term of -39, -68, -97, -126? -29*y - 10 What is the z'th term of -6, 34, 134, 324, 634, 1094, 1734, 2584? 5*z**3 + 5*z - 16 What is the c'th term of 8, 14, 18, 20, 20, 18, 14? -c**2 + 9*c What is the r'th term of -94, -93, -92? r - 95 What is the d'th term of 30, 14, -16, -66, -142, -250? -d**3 - d**2 - 6*d + 38 What is the h'th term of 2210, 2211, 2212? h + 2209 What is the l'th term of 724, 726, 728, 730? 2*l + 722 What is the h'th term of 168, 163, 158? -5*h + 173 What is the r'th term of -654, -1303, -1948, -2589, -3226, -3859, -4488? 2*r**2 - 655*r - 1 What is the s'th term of -72, -304, -698, -1254? -81*s**2 + 11*s - 2 What is the x'th term of -13, -21, -29, -31, -21, 7? x**3 - 6*x**2 + 3*x - 11 What is the t'th term of 104, 218, 332, 446? 114*t - 10 What is the z'th term of -97, -371, -821, -1441, -2225? z**3 - 94*z**2 + z - 5 What is the h'th term of 388, 774, 1156, 1534, 1908? -2*h**2 + 392*h - 2 What is the t'th term of 13287, 26576, 39865, 53154? 13289*t - 2 What is the c'th term of 610, 1218, 1826? 608*c + 2 What is the z'th term of 71, 155, 287, 461, 671, 911, 1175, 1457? -z**3 + 30*z**2 + z + 41 What is the j'th term of -144, -153, -162, -171, -180, -189? -9*j - 135 What is the f'th term of 11, 72, 143, 230, 339? f**3 - f**2 + 57*f - 46 What is the f'th term of 4629, 9264, 13899, 18534, 23169? 4635*f - 6 What is the z'th term of -3807, -3811, -3817, -3825? -z**2 - z - 3805 What is the w'th term of 11, 35, 75, 131? 8*w**2 + 3 What is the g'th term of -1569, -1571, -1573, -1575, -1577? -2*g - 1567 What is the m'th term of 28, 40, 52? 12*m + 16 What is the t'th term of -207, -211, -219, -231, -247? -2*t**2 + 2*t - 207 What is the u'th term of -21, -79, -231, -525, -1009, -1731, -2739? -8*u**3 + u**2 - 5*u - 9 What is the h'th term of 8, 54, 182, 434, 852? 7*h**3 - h**2 + 2 What is the c'th term of 16, -3, -56, -161, -336? -3*c**3 + c**2 - c + 19 What is the l'th term of -10509, -21020, -31531, -42042, -52553? -10511*l + 2 What is the z'th term of -45, -32, -11, 18, 55? 4*z**2 + z - 50 What is the q'th term of -25, -32, -59, -118, -221? -2*q**3 + 2*q**2 + q - 26 What is the x'th term of -154, -268, -380, -490? x**2 - 117*x - 38 What is the j'th term of 105, 99, 89, 75, 57, 35, 9? -2*j**2 + 107 What is the g'th term of -90, -96, -112, -144, -198, -280, -396, -552? -g**3 + g**2 - 2*g - 88 What is the p'th term of 1934, 1935, 1938, 1943, 1950, 1959? p**2 - 2*p + 1935 What is the s'th term of -15, -25, -35, -45, -55? -10*s - 5 What is the h'th term of 230, 205, 164, 107, 34? -8*h**2 - h + 239 What is the y'th term of 18, 97, 308, 717, 1390, 2393, 3792, 5653? 11*y**3 + 2*y + 5 What is the s'th term of -3, 5, 35, 99, 209? 2*s**3 - s**2 - 3*s - 1 What is the u'th term of 65, 63, 53, 29, -15, -85, -187, -327? -u**3 + 2*u**2 - u + 65 What is the g'th term of 28, 42, 56? 14*g + 14 What is the j'th term of -1081, -1084, -1087, -1090, -1093, -1096? -3*j - 1078 What is the f'th term of 579, 576, 573, 570? -3*f + 582 What is the q'th term of 73, 147, 207, 247, 261, 243? -q**3 - q**2 + 84*q - 9 What is the l'th term of -1125, -4487, -10091, -17937? -1121*l**2 + l - 5 What is the g'th term of -422, -856, -1290, -1724, -2158, -2592? -434*g + 12 What is the r'th term of -8144, -8157, -8178, -8207, -8244? -4*r**2 - r - 8139 What is the v'th term of 256, 500, 732, 946, 1136? -v**3 + 251*v + 6 What is the b'th term of -7083, -7084, -7085, -7086? -b - 7082 What is the l'th term of 33, 26, 13, -6, -31, -62, -99? -3*l**2 + 2*l + 34 What is the m'th term of -639, -621, -615, -627, -663, -729, -831? -m**3 + 25*m - 663 What is the d'th term of 1186, 1194, 1202? 8*d + 1178 What is the u'th term of -494, -494, -482, -452, -398, -314? u**3 - 7*u - 488 What is the p'th term of -22, -83, -180, -313, -482? -18*p**2 - 7*p + 3 What is the n'th term of 220, 219, 218, 217? -n + 221 What is the d'th term of 1745, 3489, 5233, 6977, 8721, 10465? 1744*d + 1 What is the s'th term of 13, 19, 31, 55, 97, 163? s**3 - 3*s**2 + 8*s + 7 What is the f'th term of -87, -119, -137, -135, -107, -47? f**3 + f**2 - 42*f - 47 What is the o'th term of -14, -8, -10, -26, -62, -124? -o**3 + 2*o**2 + 7*o - 22 What is the f'th term of 16282, 16284, 16286, 16288, 16290, 16292? 2*f + 16280 What is the x'th term of -63, -70, -77, -84, -91? -7*x - 56 What is the y'th term of -7, -39, -71, -103, -135, -167? -32*y + 25 What is the l'th term of 241, 240, 239? -l + 242 What is the r'th term of 25, 38, 51, 64, 77? 13*r + 12 What is the o'th term of 69, 295, 665, 1173, 1813, 2579, 3465, 4465? -o**3 + 78*o**2 - o - 7 What is the t'th term of -9, -78, -275, -666, -1317, -2294, -3663? -11*t**3 + 2*t**2 + 2*t - 2 What is the i'th term of 5, -8, -33, -70? -6*i**2 + 5*i + 6 What is the g'th term of -230, -235, -242, -251, -262, -275, -290? -g**2 - 2*g - 227 What is the k'th term of 8, 14, 22, 32, 44, 58, 74? k**2 + 3*k + 4 What is the q'th term of -66, -52, -42, -36, -34? -2*q**2 + 20*q - 84 What is the m'th term of -41, -44, -49, -56, -65, -76? -m**2 - 40 What is the k'th term of 248, 249, 250? k + 247 What is the x'th term of -187, -790, -1803, -3226, -5059, -7302? -205*x**2 + 12*x + 6 What is the m'th term of 65, 137, 203, 257, 293, 305, 287, 233? -m**3 + 3*m**2 + 70*m - 7 What is the q'th term of 571, 572, 573, 574, 575, 576? q + 570 What is the m'th term of -121, -240, -359? -119*m - 2 What is the g'th
{ "pile_set_name": "DM Mathematics" }
nds are there in five eighths of a hour? 2250 How many millimeters are there in 29/5 of a meter? 5800 How many millimeters are there in 27/2 of a centimeter? 135 How many months are there in 173185.7 millennia? 2078228400 How many months are there in 6/25 of a millennium? 2880 What is 3/8 of a milligram in micrograms? 375 How many millilitres are there in 3/5 of a litre? 600 Convert 7127.532 millilitres to litres. 7.127532 What is nine tenths of a litre in millilitres? 900 How many days are there in 8034.9003 nanoseconds? 0.00000000009299653125 How many millimeters are there in 5481.255nm? 0.005481255 How many micrometers are there in eighteen fifths of a centimeter? 36000 Convert 23.734302s to minutes. 0.3955717 How many millilitres are there in 5/8 of a litre? 625 How many meters are there in fifty-nine fifths of a kilometer? 11800 How many centimeters are there in six fifths of a meter? 120 What is 3.638878mg in nanograms? 3638878 What is 23/6 of a millennium in months? 46000 Convert 182.28813 months to decades. 1.51906775 How many micrometers are there in 3/16 of a centimeter? 1875 What is 48/5 of a litre in millilitres? 9600 How many hours are there in four thirds of a day? 32 What is 0.9434314 centuries in months? 1132.11768 What is 5/24 of a millennium in months? 2500 How many milliseconds are there in 0.5326209 seconds? 532.6209 What is 5.341434 centuries in months? 6409.7208 What is 5/4 of a hour in minutes? 75 How many years are there in twenty-seven quarters of a millennium? 6750 What is 49/5 of a meter in millimeters? 9800 How many years are there in 6/5 of a century? 120 Convert 4360.239 years to decades. 436.0239 What is 7/3 of a week in minutes? 23520 How many years are there in 3386.966 decades? 33869.66 What is 411731.4 millilitres in litres? 411.7314 How many millilitres are there in 7/2 of a litre? 3500 What is 3/10 of a millimeter in micrometers? 300 What is three fifths of a meter in centimeters? 60 How many kilograms are there in 6/25 of a tonne? 240 What is 1.138368 months in decades? 0.0094864 How many nanoseconds are there in 55/4 of a microsecond? 13750 What is 53418.744 milliseconds in hours? 0.01483854 Convert 80864.16 centimeters to millimeters. 808641.6 How many seconds are there in 3/25 of a day? 10368 How many meters are there in fourty-five eighths of a kilometer? 5625 How many months are there in 5/8 of a millennium? 7500 How many kilograms are there in 6016.775 micrograms? 0.000006016775 How many nanometers are there in fourty-eight fifths of a micrometer? 9600 How many centimeters are there in fifteen quarters of a meter? 375 Convert 872030.9l to millilitres. 872030900 How many tonnes are there in 3187.787ug? 0.000000003187787 Convert 4.366128ns to seconds. 0.000000004366128 What is 72.17958mm in kilometers? 0.00007217958 How many meters are there in 733042.1 kilometers? 733042100 How many kilograms are there in 0.3216689mg? 0.0000003216689 What is 2/9 of a hour in seconds? 800 Convert 4411.633 years to decades. 441.1633 What is 59393.71 millennia in centuries? 593937.1 What is 4.27869s in microseconds? 4278690 What is ten thirds of a minute in seconds? 200 How many decades are there in three fifths of a millennium? 60 How many millilitres are there in one fifth of a litre? 200 What is 0.7296379l in millilitres? 729.6379 What is 29/5 of a gram in milligrams? 5800 Convert 3.748753 seconds to milliseconds. 3748.753 What is 7/2 of a centimeter in micrometers? 35000 What is 5/8 of a kilogram in grams? 625 What is 3/40 of a milligram in micrograms? 75 What is fourty-three quarters of a kilogram in grams? 10750 Convert 94.37982 hours to days. 3.9324925 How many tonnes are there in 0.6033066 nanograms? 0.0000000000000006033066 How many kilograms are there in 1/5 of a tonne? 200 What is twenty-one fifths of a decade in months? 504 How many nanometers are there in 1340.923m? 1340923000000 How many years are there in twenty-one fifths of a millennium? 4200 What is 73/4 of a minute in seconds? 1095 How many litres are there in 4090.43 millilitres? 4.09043 How many months are there in thirty-seven halves of a decade? 2220 Convert 919101.9 minutes to microseconds. 55146114000000 Convert 76656.31ug to nanograms. 76656310 What is 3846.445 millennia in centuries? 38464.45 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in 37/2 of a litre? 18500 What is twenty-seven fifths of a litre in millilitres? 5400 How many milliseconds are there in one quarter of a second? 250 Convert 2.2488102 microseconds to minutes. 0.00000003748017 How many hours are there in five eighths of a day? 15 How many months are there in 1/5 of a century? 240 What is 3.973278 hours in minutes? 238.39668 What is 3/40 of a litre in millilitres? 75 Convert 4.807448 micrograms to tonnes. 0.000000000004807448 What is 49/4 of a microsecond in nanoseconds? 12250 What is 972.489 nanograms in kilograms? 0.000000000972489 Convert 356.6622l to millilitres. 356662.2 Convert 90.65534mm to kilometers. 0.00009065534 What is 6/5 of a day in minutes? 1728 Convert 11104.3 millilitres to litres. 11.1043 What is fifty-three fifths of a century in years? 1060 Convert 97.96381 milliseconds to microseconds. 97963.81 What is 7/4 of a century in years? 175 What is fourty-three quarters of a litre in millilitres? 10750 How many nanograms are there in 0.9110077mg? 911007.7 How many years are there in 27.939855 months? 2.32832125 Convert 6.939979l to millilitres. 6939.979 What is fourty-five halves of a day in hours? 540 How many grams are there in 33/5 of a kilogram? 6600 What is 6/25 of a gram in milligrams? 240 What is 182.9998 millimeters in nanometers? 182999800 How many micrometers are there in 744.3093m? 744309300 How many millilitres are there in 3.410725 litres? 3410.725 How many hours are there in 9.246225 minutes? 0.15410375 What is 3/7 of a week in days? 3 What is 6343.308ml in litres? 6.343308 How many decades are there in 31/2 of a millennium? 1550 What is 3/25 of a century in years? 12 What is 3682.79t in kilograms? 3682790 What is three sixteenths of a century in months? 225 How many nanograms are there in 55/2 of a microgram? 27500 How many seconds are there in 60632.8 hours? 218278080 How many months are there in ten thirds of a decade? 400 What is 15/4 of a micrometer in nanometers? 3750 How many microseconds are there in 27/4 of a millisecond? 6750 What is 4/15 of a minute in milliseconds? 16000 How many years are there in 6794.705 decades? 67947.05 What is one twentieth of a microgram in nanograms? 50 How many micrometers are there in 21/5 of a millimeter? 4200 What is 1/5 of a millennium in years? 200 What is 4721.875 millilitres in litres? 4.721875 What is fifty-seven fifths of a litre in millilitres? 11400 How many minutes are there in eighteen fifths of a hour? 216 How many grams are there in 69.98165t? 69981650 What is fifty-one halves of a millimeter in micrometers? 25500 Convert 464.9078 centuries to decades. 4649.078 How many nanoseconds are there in 0.2927946 minutes? 17567676000 How many micrograms are there in 6242.677 milligrams? 6242677 How many weeks are there in 12582034.29s? 20.803628125 How many microseconds are there in 3/25 of a millisecond? 120 What is 1/5 of a hour in minutes? 12 How many micrograms are there in 0.7245928mg? 724.5928 What is 4824.512 milligrams in tonnes? 0.000004824512 What is one quarter of a week in hours? 42 What is 5/24 of a day in seconds? 18000 Convert 867.07cm to micrometers. 8670700 What is 32243.51 centuries in decades? 322435.1 What is 2/21 of a week in hours? 16 What is 3/32 of a week in seconds? 56700 How many microseconds are there in 0.3317745 seconds? 331774.5 What is 6.545716ml in litres? 0.006545716 How many years are there in 312.298 centuries? 31229.8 How many litres are there in 896962.4ml? 896.9624 How many meters are there in 589.8781 nanometers? 0.0000005898781 What is thirteen fifths of a microgram in nanograms? 2600 Convert 870.778 tonnes to micrograms. 870778000000000 How many milligrams are there in 794628.3 grams? 794628300 How many seconds are there in 3/28 of a week? 64800 Convert 20.56557kg to micrograms. 20565570000 How many decades are there in seventeen quart
{ "pile_set_name": "DM Mathematics" }
1). Suppose -4*n - 19 = v. What is m(n)? 7 Let g(z) = -3*z - 15. Let y(c) = c + 5. Let x(t) = 2*g(t) + 7*y(t). Give x(-5). 0 Let n be 30/(-40)*(-8)/3. Let m(g) = 8*g - g**2 + 0*g**n + 0*g**2 - 2 - 2. What is m(7)? 3 Let t = -23 + 26. Let p(d) = d**2 - 2*d - 3. Calculate p(t). 0 Let p(y) = 3*y**2 + 2*y - 1. Let f(l) = 16*l**2 + 11*l - 4. Let i(t) = -2*f(t) + 11*p(t). Determine i(-3). 6 Let x(h) = -h**2 + 3*h - 3. Let v(m) = m**3 + 30*m**2 + 4. Let a be v(-30). Calculate x(a). -7 Let k(b) = b**3 - 4*b**2 - 11*b - 2. Let c be k(6). Let a(t) = t**2 - 6*t + 5. Calculate a(c). -3 Let w(y) = 398 - 402 + 4*y + y**2 - 3*y**2. What is w(3)? -10 Let f(y) = -y + 9. Suppose a - 7 = -0. Let h be f(a). Let c(w) = h*w**2 - 3 + 3*w**2 - 2*w**2 + w**3. Calculate c(-3). -3 Suppose m - 4*y + 14 = 0, 0 = m - 0*m + y + 4. Let w(v) = 2*v - 3. What is w(m)? -15 Let t(f) be the second derivative of -1/3*f**4 + 0 + f - 1/3*f**3 + 1/20*f**5 + f**2. Determine t(2). -10 Let t(q) be the first derivative of -2*q - 6 - q**2 - 1/4*q**4 - 4/3*q**3. Suppose -3*n = -l + 9, -n = -5*l - 3*n - 23. Give t(l). -5 Suppose -3*r = -0*r - 6. Suppose v + 1 = 0, r*g + 8*v - 4*v = -2. Let o(d) = -3*d + 1. Determine o(g). -2 Let q(i) be the second derivative of i**4/12 + i**3/6 - 2*i. Let n(d) = -d**3 - 2*d**2 - 2*d - 2. Let a be n(-2). Let g = a - 2. What is q(g)? 0 Let g(o) = 0*o + 2*o - 3*o. Let k(s) be the second derivative of -s**4/12 - s**3/2 - 2*s**2 + s. Let q be k(-3). Determine g(q). 4 Suppose 0 = h + 2*h - 21. Suppose -3 = -b + 4*s, -19 = -3*b - 4*s + 6*s. Let q(z) = -2 + z + b - h - 3. Determine q(4). -1 Let f(q) = -q**3 + 5*q**2 - 3*q - 3. Let u = -58 + 62. What is f(u)? 1 Let t(h) = 4*h - 5. Let q(g) = -7*g + 9. Let n(c) = -3*q(c) - 5*t(c). Calculate n(3). 1 Suppose 4*o = -4, 0 = -i - 3*o - 0 - 4. Let p be (4/2 - i) + -3. Let b(q) = q**3 + q**2 + q. Calculate b(p). 0 Let n(x) = -2*x**2 + 8*x + 1. Let j(b) = 5*b**2 - 23*b - 2. Let i(c) = -3*j(c) - 8*n(c). Let u = -10 + 4. What is i(u)? 4 Suppose p = -2*p + 12. Let g(q) = -3*q + q**3 + 0*q**3 - 4 - 3*q**2 + 2. What is g(p)? 2 Let f(i) = -i + 3. Let u be f(4). Let a(g) = 14*g + 1. Calculate a(u). -13 Let o(v) = v**3 + 6*v**2 + 2*v + 6. Let u(i) = -i**3 - 3*i**2 - 2*i - 3. Let a be u(-3). Let w be a/(4 - 9/2). Determine o(w). -6 Let v be 4*(2 + -3) + 1. Let j(l) = -l + 3. Determine j(v). 6 Suppose 0 = 2*n + 2*n + 8. Let v(s) = -97*s**3 - 1 - 2*s**2 + 98*s**3 - 5*s + 3*s. Calculate v(n). -13 Let r(h) = 1. Let f(d) = -3*d + 9. Let i(q) = f(q) - 5*r(q). Suppose -2*k + 20 = -4. Suppose -8 = -4*m + k. What is i(m)? -11 Let f(p) = p**3 - 4*p**2 + p - 5. Let r be 6 + -4 - (0 - 2). What is f(r)? -1 Let h(p) = p - 2. Let y(r) = -r**3 - 4*r**2 - 3*r - 1. Suppose 5*o + 6 + 4 = 0. Let m be y(o). Give h(m). -5 Let h be (3 - 0 - 8)*-1. Let w(p) = 2*p + 2*p - h*p + 2. What is w(-2)? 4 Let m = -5 - -10. Suppose -m*i = 47 - 17. Let v be (12/9)/2*i. Let d(b) = -b**3 - 3*b**2 + 6*b + 2. What is d(v)? -6 Let d(j) = -2*j + 2. Let p be d(0). Suppose p*y + 12 = -2. Let g(u) = u + 15. Determine g(y). 8 Let h(m) = -m. Let w(q) = 2*q. Let p(s) = 12*h(s) + 4*w(s). Suppose -4*x - 4 + 2 = 2*v, 5*v = x - 16. Let l be (-9)/3*x/(-3). Calculate p(l). -4 Let i be (-10)/12 + (-6)/36. Let n(f) = 3*f**3 + 2*f**2 - 1. Give n(i). -2 Let r(h) = -h - 6. Let t = 5 - 3. Suppose 3*o = -5*j - 10, 0*o = -t*o + 10. Determine r(j). -1 Let a(s) = 0*s**2 + 14 - s - s**2 - 5. Let h = -127 - -127. What is a(h)? 9 Let g(m) = -18*m - 8 + 19*m + 23. Calculate g(-9). 6 Let h(r) = r**3 + 3*r**2 + 2. Let k be h(-3). Let c(t) = 8*t - k - 2*t + 0*t. Calculate c(2). 10 Let x = 12 - 24. Let a(q) = q**3 + 12*q**2 - q - 15. Let j be a(x). Let t(o) = -o**3 - 2*o**2 + o + 3. Give t(j). 9 Let q(o) be the third derivative of -o**6/120 + o**5/30 + o**4/24 + o**3/3 - o**2 + 4. Determine q(2). 4 Suppose 4*a = 3*h - 3, -h - 5 = -3*a - 6*h. Suppose -2*p - t = -3, -p - p - 4*t + 12 = a. Suppose p = -0*z - z. Let o(m) = m**2 - m - 2. Calculate o(z). -2 Let h(g) = 2*g + 3. Suppose 5*t - 8 = 3*t. Suppose l + 6 = t. Let y be l/9 - (-136)/(-36). Calculate h(y). -5 Let w(z) = -2*z + 31. Let l be w(13). Let d(b) be the third derivative of -b**5/60 + 5*b**4/24 + b**3/6 + b**2. Calculate d(l). 1 Let k(g) = 5*g + 1. Let z = -8 - -9. Give k(z). 6 Let q(s) = 7*s**3 - 2*s**2 - s + 2. Let y be q(1). Let z(o) = o**3 - 5*o**2 - 6*o - 7. Calculate z(y). -7 Suppose 4*w - a = -3, 0 = -3*w - 4*a - a - 31. Let d(i) = -i**3 - 3*i**2 - 2*i + 2. Determine d(w). 2 Let a(t) = -t**2 + 10*t - 5. Let v = 15 - 6. Let y be a(v). Let l(b) = b**2 - 4*b - 2. Calculate l(y). -2 Let f(z) be the third derivative of z**5/60 - z**4/4 + 14*z**2 - 2*z. Suppose g = 3 - 0. Let y be g/6 + 11/2. Give f(y). 0 Let y(k) = -k + 0 - 1 - 5*k + 2. Determine y(1). -5 Let y(h) = -2*h - 7*h + 5*h - 4*h. Calculate y(1). -8 Let i(b) = b**3 + 3*b**2 - 3*b + 4. Let n = 8 - 5. Suppose n = -3*c - 2*g - 15, 4*c - 5*g + 1 = 0. Determine i(c). 0 Let k(a) = -4*a**2 + 1. Let s be k(-1). Let u(y) = -y**2 - 3*y + 7. Let x(t) = -t**2 - 2*t + 6. Let o(n) = s*x(n) + 2*u(n). Determine o(3). 5 Let b = 9 + -5. Let r(t) = b*t - t - 4 - 2*t. Let h be ((-2)/4)/(2/(-12)). Calculate r(h). -1 Suppose -5*t + 2*t = 3*a - 15, 3*a - 12 = 0. Let n(l) = -l - 1. Calculate n(t). -2 Let g(c) = c**3 + c**2 - 1. Let s(m) = -m**2 - 3*m - 1. Let z be 8/(-16)*(5 - -1). Let h be s(z). Give g(h). -1 Let i(c) = c**2 - 1. Let w be i(-1). Let y(h) be the second derivative of w - h**2 + 2*h + h**3 - 1/12*h**4. Determine y(3). 7 Let g(q) be the third derivative of -q**4/24 + 11*q**3/6 + q**2. Determine g(6). 5 Suppose s + 16 = 4*c, -5*s - c - 20 + 3 = 0. Let y(p) = -4 + 6 + 8*p + p**2 - 3*p. Determine y(s). -2 Let f(y) = -y**3 - 5*y**2 + 4*y - 8. Let l(b) = -b**3 + 8*b**2 - 4*b - 6. Let a be l(7). Suppose -t + 0*t - a = -3*z, 2*t + 4*z = 0. Determine f(t). 4 Let m(w) = 0*w**2 + 3*w**2 + 3*w**2 + 154*w**3 - 155*w**3 + 9*w. Calculate m(7). 14 Let j(v) be the first derivative of -v**2 + 2*v - 1. Suppose -5*s = -3*s - 6. Let k be (s - 4)*-2 - -1. Determine j(k). -4 Let x(r) = -4*r - 6*r + 5*r + r. What is x(-1)? 4 Let o(f) = f**3 + 3*f**2 - 2*f - 1. Let v(s) = -3*s**2 + 16*s + 9. Let l be v(6). Determine o(l). 5 Let q(j) = -j**3 - 5*j**2 - 5*j + 5. Let s(k) = 2*k**3 + 11*k**2 + 11*k - 9. Let t(d) = 7*q(d) + 4*s(d). Calculate t(-8). -9 Let m = -2 + 6. Let d be (-55)/10 + 6/m. Let t(r) = -2*r - 9. Let j be t(d). Let i(g) = 8*g**3 + 2*g**2 + g. Calculate i(j). -7 Let n(m) = 5*m**2 - 2*m - 1. Let j = 3 - 31. Let a = -29 - j. Give n(a). 6 Suppose 0 = -m - 6 + 10. Let r(h) be the third derivative of 2*h**2 + 0 + h**3 + 0*h - 7/24*h**m + 1/60*h**5. Give r(4). -6 Let h be ((-12)/(-40))/(9/5). Let t(u) be the third derivative of u**2 + 0*u - 1/6*u**4 - h*u**3 + 0. Give t(1). -5 Let i(f) = -3 - f**2 - 30*f - 17 + 30*f. Determine i(0). -20 Let d(t) = t**2 - 7*t + 2. Let h be d(4). Let j(r) = r + 18. What is j(h)? 8 Let c(x) = -x**2 + x - 6. Let r(q) = 2*q**2 - 3*q + 13. Let z(p) = 5*c(p) + 2*r(p). Determine z(0). -4 Let a(m) = -1 - 2*m**2 - 1 + 1 + m**3. Suppose -21 = -5*u + 3*k, 4*u + k - 12 = 5*k. Suppose -2*l = 2*l, -u = -3*i + l. Determine a(i). -1 Let u(j) = -j + 3. Let r(z) = -z - 1. Let d be -5*1/((-15)/(-12)). Let l be r(d). Calculate u(l). 0 Let t(i) = 4 - 1 - 3*i + 4*i + 0. What is t(-3)? 0 Let b(h) be the first derivative of h**2/2 - 3. Let p(v) = -5*v - 9. Let c(s) = -s - 1. Let j(w) = -6*c(w) + p(w). Let r be j(8). Calculate b(r). 5 Suppose -a - 2 = -5. Suppose 2*t + 3*p + a = 7, 3*p = 5*t - 10. Let w(l) = l**3 - 5*l**2 + 3*l - 2. Calculate w(t). -8 Let k(t) = t**2 + 11*t + 15. Let w be k(-9). Let v(m) = m + 1. Let n(a) = a**2 - a - 6. Let o(s) = -n(s) - 4*v(s). Calculate o(w). 2 Let n(v) = v**3 - 10*v**2 - 11*v - 4. Let i be n(11). Let j(f) = f**2 - f + 2. Calculate j(i). 22 Let b(y) = -y**2 - 5*y - 6. Suppose 6*q + 6 = 3*q - 3*i, 0 = 2*i - 4. Let a be b(q). Let v = a + 3. Let t(g) = -10*g**2 - g + 1. Determine t(v). -10 Let a(q) = 2*q**3 + 13*q - 4. Let f(l) = -l**3 - 7*l + 2. Let n(m) = 6*a(m) + 11*f(m). Determine n(0). -2 Let m(k) = 22*k + 1 - 5*k - 11*k. Determine m(1). 7 Let d(q) = -q**2 + 9*q - 9. Suppose -x + 9 = 1. Determine d(x). -1 Let h(m) = m**3 + 5*m**2 + 3*m - 2. Let x be h(-4). Let i(
{ "pile_set_name": "DM Mathematics" }
(c) 43 a What is the nearest to 2 in -4, 105/4, -72? -4 Which is the closest to -0.4? (a) -5 (b) -0.3 (c) -0.05 (d) 3/2 b Which is the nearest to 0.1? (a) -0.09 (b) -0.2 (c) 2/11 (d) 0.15 (e) 0.03 d Which is the closest to 512? (a) -0.8 (b) 0.4 (c) 1 c What is the closest to 117 in -1, 14, 2/31? 14 Which is the closest to -19? (a) -3.4 (b) -0.5 (c) -2/11 a Which is the closest to -0.3? (a) 2/107 (b) -1 (c) 2 (d) 0.16 (e) 0.3 a Which is the closest to 1? (a) -2/11 (b) -2 (c) 1873 a What is the closest to 11.8 in 2/11, 4, -2, 0.02? 4 Which is the closest to 0? (a) -2/9 (b) 3828 (c) -0.16 c What is the nearest to 0.7 in 0.08, -21, 1/22, 0.3? 0.3 Which is the nearest to -16? (a) 0.4 (b) 0.2 (c) 144 (d) -1 (e) 3 d Which is the closest to -3.6? (a) 0 (b) -2 (c) -0.2 (d) 3/8 (e) -1189 b Which is the nearest to 1/4? (a) -5 (b) -0.4 (c) -19 (d) -1/4 d Which is the nearest to -1? (a) 1 (b) -3/7 (c) 83 (d) -1/4 (e) 2 b What is the closest to -3/8 in -5, -0.4, -4720/23? -0.4 Which is the closest to 5? (a) 8.1 (b) -31 (c) -2/9 a Which is the closest to -0.1? (a) 2.9 (b) 0 (c) -18/185 c Which is the closest to 0.3? (a) -2 (b) -11.1 (c) 208 a Which is the closest to -1? (a) -13 (b) -28 (c) 1/6 c What is the nearest to 2 in -4, 10, -1/16, -2? -1/16 Which is the closest to 3? (a) 0.01 (b) 499 (c) 0.3 (d) -2 (e) 0.4 e Which is the nearest to 0.11? (a) -5/3 (b) 1 (c) 0.21 (d) -3 (e) -4/7 c Which is the nearest to -17? (a) 0.4 (b) -0.5 (c) -23.5 (d) 2/7 c Which is the nearest to 0.096? (a) 2/9 (b) 2/3 (c) 3 (d) 18.9 a Which is the nearest to 0? (a) -0.3 (b) -2/3 (c) -10 a What is the nearest to 1/5 in -1, -11.2, 5/18? 5/18 Which is the closest to 20? (a) -3 (b) -9 (c) 0.2 (d) -1 (e) 1/6 c Which is the closest to -64? (a) 14 (b) -2 (c) -0.2 (d) 3 b Which is the closest to 9? (a) -0.15 (b) -2/47 (c) -2 (d) -0.1 (e) 3 e Which is the nearest to 2/873? (a) -3/4 (b) -2 (c) -0.5 (d) -5 c What is the nearest to 0.2 in -5, -0.02, 3, -259, 1/4? 1/4 Which is the nearest to -2/3? (a) 1 (b) 2 (c) -21 a What is the closest to 0.2 in 2/7, -4, -2/21, 2/41? 2/7 Which is the nearest to -1? (a) -0.5 (b) 175 (c) 0.01 (d) -9 a Which is the closest to -12.9? (a) -11 (b) -4 (c) 6 (d) 2 a Which is the closest to -0.1? (a) -1/21 (b) -0.39 (c) 0.2 (d) -4 a Which is the closest to -4/5? (a) -4 (b) 3 (c) 194 a Which is the closest to -134/5? (a) 0.32 (b) -3/4 (c) 0.08 b What is the nearest to 8 in 15, -190, -0.5? 15 Which is the closest to -26? (a) -3 (b) 5/11 (c) -5 (d) -21 d What is the closest to -0.2 in 0.8, -5, -9? 0.8 Which is the nearest to 2/9? (a) -19 (b) 34.2 (c) -4 c What is the closest to -15 in -3, -0.9, -2, 2? -3 Which is the closest to -52? (a) -9.8 (b) -0.2 (c) -15 c What is the closest to -1 in -3/4, -101, -2, -18? -3/4 What is the nearest to -18 in -3, -0.3, -2/7, 3? -3 What is the nearest to 2 in -0.036, -15.92, -1/5, -2, -0.3? -0.036 What is the nearest to -2 in 3, 5, -0.5, -87, 2/15? -0.5 What is the closest to -2/365 in -2, 1/7, 0.1, -3/4, -0.8? 0.1 Which is the nearest to 208? (a) -4/5 (b) -5 (c) -79/2 (d) -0.2 (e) 1/4 e What is the closest to 1 in -0.1, -1/3, 1264, 5, -1/5? -0.1 Which is the nearest to 0? (a) 3 (b) -0.2 (c) 1.6 (d) -28.5 b What is the closest to 5 in -7, 4, 1, 2/7, 16? 4 Which is the nearest to -55/3? (a) -0.5 (b) 1/3 (c) -256 a Which is the closest to 40/9? (a) -32/7 (b) -2/13 (c) 0.1 (d) -4/7 c What is the nearest to 0 in 2, -4, 1259? 2 Which is the closest to 1? (a) 0.3 (b) -305 (c) 3.8 a What is the closest to 0.1 in 4, -28/13, -17? -28/13 What is the nearest to -1/4 in 8, -1.1, 0.04? 0.04 Which is the closest to -0.1? (a) 1.4 (b) 0.22 (c) -0.5 (d) -4 b Which is the closest to -3/4? (a) -0.5 (b) -0.03 (c) 0.051 (d) -1/7 (e) 3 a What is the closest to 2/3 in -2/3, -0.0365, 0.05, 0.5? 0.5 What is the nearest to 61 in 2/11, 0.5, 0, -15? 0.5 Which is the nearest to 245? (a) -3/275 (b) 4 (c) 0.3 (d) -5 b Which is the closest to -2/13? (a) -0.041 (b) 380 (c) -1/4 c Which is the nearest to -10? (a) 1 (b) 4/9 (c) 540 b What is the nearest to -0.1 in 0.5, 5934, -1, 1, -2/9? -2/9 What is the closest to 0.07 in -1/5, 1/3, 188/33, 2/5? 1/3 Which is the closest to 2.51? (a) 2 (b) -0.4 (c) 2/299 a What is the closest to 0 in 60, -1, -680? -1 Which is the nearest to 1? (a) -3/26 (b) 2/3 (c) 0.01 (d) -4 b Which is the nearest to 306? (a) 3 (b) 5 (c) -0.1 (d) -2/11 b What is the nearest to -31/19 in -5, 4, -2/17, -11, 1? -2/17 Which is the nearest to -91? (a) 0.1 (b) -6 (c) -3.6 b What is the closest to -1/2 in -56, -0.4, -4, 0, 7.6? -0.4 What is the closest to 2/7 in -25, 20, 0.3, 4/23? 0.3 What is the nearest to 8/9 in 1, 0.94, -1, -0.03? 0.94 What is the nearest to -0.2 in -2/43, 3/7, -3.1, -2/9? -2/9 What is the closest to 122 in 1/3, -24, -2/11? 1/3 Which is the closest to 2/5? (a) 2 (b) -20 (c) -636 a Which is the closest to -5? (a) -1/3 (b) 279 (c) -0.2 (d) -0.5 (e) 2 d Which is the closest to -8? (a) 2/13 (b) -1/12 (c) -637 b What is the closest to 65/2 in 0.3, -3/8, 0.1, -8, -0.3? 0.3 Which is the closest to 1363? (a) 20 (b) -2 (c) -0.2 a What is the closest to -2/13 in 2/7, -3, -1, -0.033, -1.6? -0.033 What is the closest to 0.3 in 3207, -3.9, -1/6, -0.1? -0.1 Which is the closest to 30.2? (a) -2/7 (b) 28 (c) -1 b Which is the closest to 0? (a) -4 (b) 3 (c) -992 b Which is the closest to -2/7? (a) 13 (b) 0.4 (c) -107 (d) -5 (e) -0.1 e What is the closest to 0.1 in 0.8, 5, -3/7, -2/5? -2/5 Which is the nearest to -6932? (a) -0.5 (b) -4 (c) -3/7 (d) 0.3 b Which is the closest to 128? (a) 3/7 (b) -4 (c) -0.1 (d) 9 d What is the closest to -5 in -2.2, 4680, 4? -2.2 Which is the nearest to 0? (a) -11 (b) -19 (c) 0.7 (d) -2/25 (e) -1/4 d What is the nearest to -2 in 2/7, 265, -0.05? -0.05 What is the closest to 1/4 in -4, -1, 2.469, 2? -1 What is the nearest to -6/7 in 1/4, 2708, 0.1? 0.1 Which is the nearest to 8/3? (a) 1/7 (b) -0.21 (c) 17 (d) -1 a What is the closest to 0.7 in 0.4, -0.05, -4, 6? 0.4 What is the nearest to -0.1 in -0.3, -2, -4.2, -2/3? -0.3 Which is the closest to -4.1? (a) -0.1 (b) -31 (c) 0.044 (d) 0 a Which is the nearest to -1/4? (a) -2/3 (b) -2/15 (c) 554/5 (d) -1/4 (e) -16 d What is the closest to -1 in -1210, -63, -5? -5 Which is the nearest to -5? (a) 0 (b) 0.4 (c) -1/2 (d) 5 (e) 4 c What is the nearest to -0.198 in -2/31, -14, -0.06? -2/31 Which is the closest to 2326? (a) -3/7 (b) 0.22 (c) 0.5 c Which is the nearest to -1? (a) -3 (b) 41/8 (c) 5 (d) -84 (e) 0.07 e What is the nearest to -2/5 in -3/5, 0.2, 3/4, 26, 1/3? -3/5 Which is the closest to 0.25? (a) 17 (b) -11 (c) -5 (d) -2/7 d Which is the closest to 0? (a) 122 (b) -0.2 (c) 3 (d) -2/9 (e) 6 b What is the nearest to 1/14 in -162, -0.55, 0.1? 0.1 Which is the closest to 2.1? (a) -12 (b) 4 (c) 678 b What is the nearest to -9 in -4, -0.26, 0, 4, 0.3? -4 Which is the closest to 1? (a) -3 (b) -85 (c) -0.4 (d) -4 (e) -727 c Which is the closest to 0.1? (a) 6 (b) -0.2 (c) 0.3 (d) 0.5 c Which is the closest to -0.3? (a) 0.4 (b) 4 (c) 1.48 (d) 12 a Which is the nearest to -2/7? (a) -0.5 (b) 2087 (c) 1 (d) 11/2 a Which is the nearest to 0? (a) 0.4 (b) 6/5 (c) 0.1702 c What is the nearest to 1065 in -0.04, -2, 1? 1 What is the nearest to -0.1 in -5, 1/78, -2107? 1/78 Which is the nearest to -1? (a) -82850 (b) 0.4 (c) 4 (d) -2/3 d Which is the nearest to 3? (a) -86 (b) -2 (c) 11 b What is the closest to 0.16 in -0.08, 7, 5, -1, -2? -0.08 Which is the nearest to 2/9? (a) -0.34 (b) -0.2 (c) 4 (d) -62 b Which is the nearest to -0.1? (a) 1 (b) 19/6 (c) -0.4 (d) 3 c What is the nearest to -10 in -5, 228, -1/4? -5 What is the closest to 4 in 1, -4, 0.007, 4/55? 1 Which is the nearest to 3/31? (a) 1/2 (b) 105 (c) -6 a Which is the nearest to -2? (a) -10/4769 (b) 0.2 (c) 3 a Which is the nearest to -15? (a) -5 (b) 4 (c) -2/57 a Which is the nearest to 193? (a) -1/5 (b) -24 (c) 5 c Which is the nearest to 0? (a) 99/14 (b) 2/9 (c) 4.8 (d) -5 (e) -23 b Which is the nearest to 5? (a) -20 (
{ "pile_set_name": "DM Mathematics" }
h - 71. Factor 5*i**h - 5*i + 6*i**3 - 25*i**3 + 10*i**3 + 19*i**3. 5*i*(i + 1)*(2*i - 1) Let j be (4*-2)/(5/10). Let a(s) = -91*s**2 + 2566*s + 744. Let k(b) = 212*b**2 - 5988*b - 1736. Let h(f) = j*a(f) - 7*k(f). Factor h(o). -4*(o - 31)*(7*o + 2) Let w(u) be the first derivative of 84 + 0*u + 20/3*u**3 + 8/3*u**2 + 7/6*u**4. Suppose w(v) = 0. Calculate v. -4, -2/7, 0 Let 3 + 110144*k**3 + 3486*k**4 + 1311*k**2 - 114794*k**3 + 672*k - 822*k**4 = 0. Calculate k. -1/4, -1/222, 1 Let h(l) be the second derivative of 11/18*l**6 - l + 0*l**3 + 5/126*l**7 + 35/12*l**5 + 125 + 0*l**2 + 125/36*l**4. Factor h(c). 5*c**2*(c + 1)*(c + 5)**2/3 Suppose 0 = -8*t - 19 + 3. Let d be 252/54 + t/3. Suppose 6*i**2 - 8/3 + 14/3*i**d + 34/3*i**3 - 10/3*i = 0. What is i? -1, 4/7 Let q(c) be the third derivative of -29/12*c**4 - 8*c**2 - 1/20*c**6 + 0 - 7/3*c**3 - 5/6*c**5 + 0*c. Factor q(h). -2*(h + 1)*(h + 7)*(3*h + 1) Let 58/7*t**2 + 8/7 - 120/7*t = 0. What is t? 2/29, 2 Let z be (-225)/(-25) + 4 + -7. Let p be (-30)/(36/z) - (-10 - 0). Factor -7/3*c**2 - p*c**3 - 1/3*c - 3*c**4 + 0. -c*(c + 1)*(3*c + 1)**2/3 Factor -105/2 + 12*n**2 + 3/4*n**3 + 159/4*n. 3*(n - 1)*(n + 7)*(n + 10)/4 Factor -120 + 27628*v - 11*v**2 + 41*v**2 + 37*v**3 - 27723*v - 32*v**3. 5*(v - 3)*(v + 1)*(v + 8) Let j(h) be the first derivative of -31*h - 22 + 5/6*h**3 + 25/2*h**2 + 1/48*h**4. Let z(a) be the first derivative of j(a). Factor z(d). (d + 10)**2/4 Suppose 39*p - 236 + 158 = 0. Let j = 112/255 + -2/51. Determine s so that p - 8/5*s - j*s**2 = 0. -5, 1 Let w = -17341 - -17345. Factor -2/7*b**w + 864/7 - 32/7*b**3 + 0*b - 144/7*b**2. -2*(b - 2)*(b + 6)**3/7 Factor 1682/5*r**2 + 928/5*r + 128/5. 2*(29*r + 8)**2/5 Let g(y) be the second derivative of -33/20*y**5 + 432*y**2 + 169/8*y**4 - 132*y**3 + 0 + 121*y + 1/20*y**6. Find c such that g(c) = 0. 3, 8 Let y(i) be the second derivative of -i**7/1260 + i**6/90 + i**5/12 - 52*i**4/3 - 230*i. Let x(k) be the third derivative of y(k). Let x(q) = 0. What is q? -1, 5 Let q be (11 - (-72)/(-8))/(2 - 0). Let w(y) = 2*y**3 - 2*y. Let r(d) = -16*d**3 + 40*d**2 + 20*d. Let v(x) = q*r(x) + 10*w(x). Suppose v(n) = 0. What is n? -10, 0 Let n(p) = -6*p**2 + 2*p - 4. Let r(q) = q**2. Let g(u) = -3 + 0*u + 6 - 2*u**2 + 4*u - 2. Let k be g(2). Let l(h) = k*n(h) + 8*r(h). Factor l(a). 2*(a - 1)*(a + 2) Let v(s) be the third derivative of -s**7/1260 - 71*s**6/720 + 17*s**5/40 + 515*s**4/144 + 73*s**3/9 + s**2 - 6*s + 59. Factor v(r). -(r - 4)*(r + 1)**2*(r + 73)/6 Let s(b) be the first derivative of -21*b**4 + 2*b**2 + 15 + 319*b**5 - 327*b**5 - 16*b**3 - 5*b**2 + b**2. Solve s(h) = 0 for h. -1, -1/10, 0 Suppose 16/7*l**2 - 660/7 - 2/7*l**3 + 646/7*l = 0. Calculate l. -15, 1, 22 Let s = 10823610 + -50827671989/4696. Let o = s - -2/587. Factor o*p**2 + 0*p - 1/2. (p - 2)*(p + 2)/8 Let i be 7/(63/6)*(-24)/(-32). Let v(l) be the first derivative of -2*l**3 + 15 + l**2 - i*l**4 + 2/5*l**5 + 4*l. Factor v(h). 2*(h - 2)*(h - 1)*(h + 1)**2 Let -136 - 90/7*u - 2/7*u**2 = 0. Calculate u. -28, -17 Let i be (6 - 0) + (3 - 7). Find a such that -51*a**2 + 15*a**2 - 54*a + 20*a**2 + 13*a**i = 0. -18, 0 Let f = 44 + -35. Suppose 3*j = 4*i - f - 6, -2*j = 2*i - 4. Determine r, given that 5 - 5*r**2 - 3*r + 0*r - i = 0. -1, 2/5 Let v(p) = p**2 - 31*p + 153. Let i be v(25). Factor -6 - 10*j - 6 + 11*j + 2*j**i + 2*j**2 - 9*j + 4. 2*(j - 2)*(j + 1)*(j + 2) Let h(o) = -o**3 + 96*o**2 - 21*o - 30. Let n(v) = v**3 - 51*v**2 + 11*v + 15. Let k(g) = 6*h(g) + 11*n(g). Determine x, given that k(x) = 0. -3, -1, 1 Determine n so that 24/5*n**3 + 182 - 3264/5*n - 302*n**2 = 0. -7/3, 1/4, 65 Let i(t) be the third derivative of -t**5/120 + t**4/6 - 5*t**3/4 - 6971*t**2. Let i(o) = 0. Calculate o. 3, 5 Factor -5260*q - 4*q**5 + q**5 + 195*q**3 - 6730 - 2*q**5 + 100*q**4 + 2530 - 1630*q**2 + 0*q**5. -5*(q - 21)*(q - 5)*(q + 2)**3 Let y(d) be the third derivative of 0 + 1/6*d**4 + 2*d + 0*d**3 + 5*d**2 - 1/30*d**5. Factor y(x). -2*x*(x - 2) Let y be -4*4/(-48)*12. Let d(h) be the first derivative of -y*h + 2 + h**2 - 14*h**2 - 24*h**3 - 5*h**2. Let d(j) = 0. Calculate j. -1/3, -1/6 Suppose 3*w - 4*u + 2*u - 20 = 0, -5*w + 4 = 4*u. Factor m**2 - 16 + 3*m**2 + 8*m**2 + w*m - 10*m**2. 2*(m - 2)*(m + 4) Let l(z) be the first derivative of z**6/1440 - z**5/160 + z**4/48 + 37*z**3/3 + 32. Let y(n) be the third derivative of l(n). Factor y(v). (v - 2)*(v - 1)/4 Let d be (-16)/(-6) + (-3)/(-9) - -238. Let q be d + 0 + 0 + -2 + 3. Solve 233*c**4 + 4*c - 3*c**2 + c**5 + q*c**4 - 472*c**4 - 5*c**3 = 0. -4, -1, 0, 1 Let j(z) = 15*z**2 - 1834*z + 1263. Let b(r) = 21*r**2 - 1834*r + 1276. Let u(y) = -3*b(y) + 4*j(y). Factor u(k). -(k + 612)*(3*k - 2) Let m(n) be the first derivative of 2*n**5/15 - 53*n**4/30 - 2144*n**3/45 - 28*n**2 + 5577. Find k such that m(k) = 0. -10, -2/5, 0, 21 Let y(k) be the first derivative of 1/80*k**5 + 3/8*k**3 + 0*k + 8*k**2 + 1/8*k**4 - 12. Let g(o) be the second derivative of y(o). Factor g(b). 3*(b + 1)*(b + 3)/4 Let k(v) be the second derivative of -675*v**2 + 0 - 8*v**4 - 285/2*v**3 - 34*v - 3/20*v**5. Factor k(a). -3*(a + 2)*(a + 15)**2 Let x(u) = 5*u**2 - 3*u - 13. Let s be x(4). Find h such that 2*h**5 - 28*h**3 - s + 24*h**2 + 55 + 2*h**5 = 0. -3, 0, 1, 2 Let w(b) = -17*b**2 - 5*b + 106. Let x(o) = -5*o**2 - 2*o + 31. Let n(k) = -6*w(k) + 21*x(k). Factor n(f). -3*(f - 1)*(f + 5) Let p(y) be the first derivative of y**3/9 - 131*y**2/6 - 266*y/3 + 4299. Factor p(v). (v - 133)*(v + 2)/3 Let b(y) = 822*y**2 - 6*y - 2. Let w be b(-3). Suppose -w - i**3 + 4*i**2 - 7*i + 7416 + 0*i + 2*i = 0. What is i? 1, 2 Let y be ((-94)/2)/((-11)/(-2)) - (354 - 364). Factor 0 + y*q**3 + 30/11*q**2 - 4/11*q. 2*q*(q + 2)*(8*q - 1)/11 Let d = 61123/3 + -244465/12. Factor d*j**2 - 3 + 0*j - 3/4*j**3. -3*(j - 2)**2*(j + 1)/4 Let u be 390/(-624) + 363/120. Factor p**3 + 1/10*p**4 + u*p + 14/5*p**2 + 0. p*(p + 2)**2*(p + 6)/10 Let j(r) be the first derivative of r**6/720 - 3*r**5/80 - 2*r**3/3 + 26*r**2 - 58. Let c(l) be the third derivative of j(l). Factor c(d). d*(d - 9)/2 Suppose 0*h + 2*k + 10 = 3*h, k = -3*h + 13. Suppose -4*c = 3*t, 0*t - h*c = t + 8. Factor 5*u**3 - 5*u - 10*u**4 - 5*u**2 - 5*u**t + 20*u**4. 5*u*(u - 1)*(u + 1)**2 Let q(l) be the second derivative of -l**4/60 - 1063*l**3/15 - 1129969*l**2/10 - 19*l - 58. Determine a so that q(a) = 0. -1063 Let c(i) = -15*i**3 + 3*i**2 + 3*i. Let g be c(-1). Suppose 5*x = -5*v + 30, -5*v - 3*x + 49 = g. Factor 16*d - 4/3*d**4 - 16/3 - 52/3*d**2 + v*d**3. -4*(d - 2)**2*(d - 1)**2/3 Let j(v) be the second derivative of -23*v - 6/7*v**3 - 5 - 81/7*v**2 - 1/42*v**4. Factor j(c). -2*(c + 9)**2/7 Factor 58/3*f**2 - 4/3*f + 0. 2*f*(29*f - 2)/3 Let j(w) = -228*w**2 - 3*w + 16. Let i be j(0). Factor -33/4*q**2 - 1/4*q**4 + 7/2*q**3 - i - 28*q. -(q - 8)**2*(q + 1)**2/4 Let g(q) = -42*q**3 - 371*q**2 - 4153*q - 17424. Let u(f) = 5*f**3 + 46*f**2 + 519*f + 2178. Let o(i) = -2*g(i) - 17*u(i). Factor o(v). -(v + 11)**2*(v + 18) Factor 139 - 2*x**3 - 139*x**2 + 37*x - 220*x + 159*x**2 + 23 + 3*x**3. (x - 6)*(x - 1)*(x + 27) Determine g, given that -2/7*g**3 + 104/7*g**2 + 222/7*g - 324/7 = 0. -3, 1, 54 Let o be ((-8)/6)/(2/(-3)). Suppose -10*i + 58 = 38. Solve o*x**i - 1164*x + 1164*x - 2*x**3 = 0. 0, 1 Let s(l) = l**3 - l**2 - 54*l - 15. Let r be s(8). Let f(n) = -n**2 + 12*n - 9. Let t be f(r). Let 1 + 15/2*k + 21/2*k**3 + 5/2*k**4 + 29/2*k**t = 0. What is k? -2, -1, -1/5 Let b(g) = 2*g**3 + 154*g**2 - 141*g - 3. Let v(c) = 3*c**3 + 307*c**2 - 285*c - 5. Let q(i) = 5*b(i) - 3*v(i). Suppose q(o) = 0. What is o? 0, 1, 150 Let k(o) be the third derivative of -8/3*o**3 - 1/60*o**5 - 1/3*o**4 + 0 - 3*o + 17*o**2. Factor k(i). -(i + 4)**2 Let l = 1/844 - -417/4220. Let g(q) be the second derivative of -l*q**6 - 3/4*q**4 + 0*q**2 - 9/20*q**5 - 1/2*q**3 + 0 + 2*q. Let g(m) = 0. Calculate m. -1, 0 Let w(l) = 6*l**2 - 84*l - 84. Let x(i) = i**2 + i + 2. Suppose 0 = -4*m - 3*o + 19 - 6, 3*o = 2*m + 7. Let c(a) = m*w(a) - 3*x(a). Factor c(p). 3*(p - 30)*(p + 1) Let v(z) be the first derivative of -z**4/24 + z**3/12 - 43*z + 96. Let x(y) be the first derivative of v(y). Factor x(p). -p*(p - 1)/2 Suppose 216 = -26*w + 17*w. Let x be w/(-60) - 28/120. Solv
{ "pile_set_name": "DM Mathematics" }
05 prime? False Is 467683 prime? False Is 5639 prime? True Is 55597 composite? True Is 162953 a composite number? True Is 166997 composite? True Is 5189 prime? True Is 2958599 a composite number? True Is 3989 prime? True Is 18591 composite? True Is 32245 a prime number? False Is 65959 prime? False Is 1838167 a composite number? False Is 64373 prime? True Is 954757 prime? True Is 84641 prime? False Is 486323 a prime number? True Is 49597 composite? False Is 926093 prime? False Is 42641 composite? False Is 115897 a composite number? True Is 237997 a prime number? True Is 1451009 prime? False Is 282657 a composite number? True Is 315899 a composite number? False Is 63823 prime? True Is 62179 a prime number? False Is 4083 a composite number? True Is 8923 a prime number? True Is 1046857 composite? True Is 28321 a composite number? True Is 3205 prime? False Is 1399 a composite number? False Is 162007 prime? True Is 416473 a composite number? False Is 127 a prime number? True Is 5981 a composite number? False Is 7187 prime? True Is 588337 a prime number? False Is 15203 prime? False Is 215573 composite? False Is 14261 a composite number? True Is 7349 composite? False Is 6407 prime? False Is 55681 prime? True Is 373753 a composite number? False Is 1799 a prime number? False Is 99037 composite? True Is 56659 a composite number? False Is 43103 a composite number? False Is 45427 a prime number? True Is 35771 composite? False Is 41581 a prime number? False Is 14023 prime? False Is 250017 composite? True Is 540013 a prime number? False Is 2923 a composite number? True Is 3455 a composite number? True Is 12297 a prime number? False Is 18671 a prime number? True Is 8639 a prime number? False Is 16183 composite? False Is 10079 composite? False Is 97753 a composite number? True Is 2039 a composite number? False Is 23801 a prime number? True Is 8329 a composite number? False Is 743594 composite? True Is 36739 prime? True Is 154763 composite? True Is 36221 prime? False Is 42553 prime? False Is 53651 prime? False Is 87883 prime? False Is 349003 prime? False Is 308486 a composite number? True Is 64933 prime? False Is 1182509 prime? True Is 50723 a composite number? False Is 42263 a composite number? True Is 338231 a prime number? True Is 6127 a prime number? False Is 72595 composite? True Is 1047029 a prime number? False Is 2191 a prime number? False Is 70423 a prime number? True Is 603619 composite? True Is 4391 prime? True Is 154139 prime? False Is 469 prime? False Is 401689 prime? True Is 49871 prime? True Is 226901 a composite number? False Is 14267 a composite number? True Is 2879 composite? False Is 2071811 composite? True Is 4754 a prime number? False Is 6187 a composite number? True Is 20161 prime? True Is 679 a composite number? True Is 149203 a composite number? True Is 33661 a composite number? True Is 13841 prime? True Is 3909755 a prime number? False Is 64591 composite? False Is 6839 a composite number? True Is 31387 prime? True Is 1055 a prime number? False Is 1113877 a composite number? False Is 557 a composite number? False Is 5946989 a prime number? False Is 11993 prime? False Is 3101111 a composite number? True Is 67903 a composite number? True Is 9527 a prime number? False Is 2039 prime? True Is 8923 a prime number? True Is 311677 prime? True Is 2259889 prime? True Is 1318313 prime? True Is 395407 composite? False Is 3457 composite? False Is 99643 a composite number? False Is 408743 composite? False Is 226087 a composite number? False Is 717629 a prime number? False Is 165302 composite? True Is 557 a prime number? True Is 99071 a composite number? True Is 12793 a prime number? False Is 3899 a prime number? False Is 6739 composite? True Is 3755 prime? False Is 991 composite? False Is 37919 prime? False Is 3223 prime? False Is 114071 a prime number? False Is 133877 a prime number? True Is 809 prime? True Is 992518 prime? False Is 2777 a prime number? True Is 35027 composite? False Is 54521 a prime number? True Is 41579 prime? True Is 7396517 a composite number? False Is 57587 composite? False Is 27361 prime? True Is 136943 prime? True Is 16997 a prime number? False Is 301298 composite? True Is 140587 composite? False Is 7066 a prime number? False Is 9143 prime? False Is 70163 prime? True Is 375941 a prime number? False Is 32987 composite? False Is 22459 a composite number? True Is 33365 a prime number? False Is 2309 prime? True Is 251 prime? True Is 437849 a composite number? False Is 9019 a composite number? True Is 17327 prime? True Is 23923 prime? False Is 1158977 prime? True Is 135887 composite? False Is 19031 a prime number? True Is 173807 a prime number? True Is 101951 prime? False Is 2998 a composite number? True Is 8939 a prime number? False Is 11273 prime? True Is 46117 prime? False Is 1278103 prime? False Is 3113 prime? False Is 1517 composite? True Is 14563 a prime number? True Is 34766 prime? False Is 41371 prime? False Is 42493 composite? True Is 258943 a composite number? True Is 26029 composite? False Is 4421 composite? False Is 1333 a composite number? True Is 353329 composite? False Is 2039 prime? True Is 68923 a prime number? False Is 276103 prime? False Is 5147 a prime number? True Is 36401 a prime number? False Is 519991 a composite number? True Is 1062553 a prime number? False Is 406369 composite? True Is 70753 a prime number? True Is 1117 composite? False Is 18229 prime? True Is 1009417 a composite number? False Is 1941 composite? True Is 5255 a prime number? False Is 9287 a prime number? False Is 10993 a composite number? False Is 21517 composite? False Is 42641 prime? True Is 42059 composite? True Is 3761 a prime number? True Is 68806 composite? True Is 13553 prime? True Is 3079 composite? False Is 234587 a prime number? True Is 749 prime? False Is 426019 composite? True Is 145963 prime? True Is 7069 a composite number? False Is 537437 composite? True Is 4442 a composite number? True Is 3787 a prime number? False Is 127331 prime? True Is 2095189 a composite number? False Is 1859521 prime? True Is 27787 composite? True Is 15559 a composite number? False Is 87167 prime? False Is 25439 a prime number? True Is 8191 a prime number? True Is 39007 a composite number? True Is 4189 a composite number? True Is 254105 composite? True Is 19523 a composite number? True Is 464467 composite? False Is 150643 prime? False Is 14997 prime? False Is 98399 a composite number? True Is 140095 a composite number? True Is 195863 a prime number? True Is 61003 a prime number? False Is 37781 a composite number? False Is 3524821 a composite number? False Is 284803 prime? True Is 516931 prime? True Is 7819 composite? True Is 4358 prime? False Is 1722983 a composite number? False Is 587 prime? True Is 519391 a prime number? True Is 36763 composite? True Is 88823 prime? False Is 54803 prime? False Is 16294 composite? True Is 100231 a prime number? False Is 337 composite? False Is 37421 a prime number? False Is 19797 a prime number? False Is 10079 composite? False Is 14173 a prime number? True Is 20153 composite? True Is 11617 a prime number? True Is 154667 prime? True Is 345131 prime? False Is 943 a prime number? False Is 3613 a composite number? False Is 762997 prime? False Is 782413 composite? True Is 19417 prime? True Is 46933 prime? True Is 17943 a prime number? False Is 81071 a prime number? True Is 659807 a prime number? False Is 39481 prime? False Is 73199 a prime number? False Is 19231 prime? True Is 35143 prime? False Is 812909 a composite number? True Is 107243 prime? True Is 112643 a composite number? False Is 36973 a composite number? False Is 3453 a composite number? True Is 285431 a prime number? False Is 233747 composite? False Is 142897 composite? False Is 19931 composite? True Is 455485 composite? True Is 61823 prime? False Is 537 composite? True Is 47191 a composite number? True Is 7817 a prime number? True Is 56807 a prime number? True Is 30001 a prime number? False Is 24379 a prime number? True Is 41671 a prime number? False Is 7229 a prime number? True Is 6242 composite? True Is 5501 a composite number? False Is 12827 composite? True Is 222653 composite? True Is 4413 composite? True Is 3821 prime? True Is 14611 a prime number? Fal
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 558111? 3, 186037 What are the prime factors of 7088080? 2, 5, 41, 2161 List the prime factors of 6732687. 3, 13, 172633 List the prime factors of 450824. 2, 11, 47, 109 What are the prime factors of 3929448? 2, 3, 17, 9631 What are the prime factors of 2633284? 2, 658321 What are the prime factors of 572658? 2, 3, 95443 What are the prime factors of 2465694? 2, 3, 7, 11, 593 What are the prime factors of 8660336? 2, 541271 What are the prime factors of 258647? 19, 13613 List the prime factors of 96990. 2, 3, 5, 53, 61 What are the prime factors of 592348? 2, 17, 31, 281 List the prime factors of 3699376. 2, 19, 43, 283 List the prime factors of 287689. 287689 List the prime factors of 363358. 2, 17, 10687 What are the prime factors of 23375542? 2, 11687771 What are the prime factors of 1852539? 3, 13, 47501 What are the prime factors of 485077? 509, 953 List the prime factors of 35294020. 2, 5, 19, 131, 709 What are the prime factors of 197938? 2, 13, 23, 331 List the prime factors of 1395425. 5, 55817 What are the prime factors of 6777304? 2, 847163 List the prime factors of 736427. 151, 4877 List the prime factors of 4165348. 2, 11, 137, 691 What are the prime factors of 122654? 2, 7, 8761 What are the prime factors of 458830? 2, 5, 17, 2699 What are the prime factors of 24667136? 2, 13, 17, 109 List the prime factors of 2376182. 2, 1087, 1093 List the prime factors of 906583. 47, 19289 What are the prime factors of 487305? 3, 5, 7, 13, 17 List the prime factors of 15468880. 2, 5, 7, 23, 1201 What are the prime factors of 73945? 5, 23, 643 What are the prime factors of 9108201? 3, 19, 159793 List the prime factors of 2515800. 2, 3, 5, 7, 599 What are the prime factors of 282648? 2, 3, 11777 What are the prime factors of 5077508? 2, 1269377 What are the prime factors of 12157852? 2, 7, 434209 List the prime factors of 72378. 2, 3, 4021 List the prime factors of 393289. 13, 30253 What are the prime factors of 904307? 29, 31183 List the prime factors of 1671629. 1671629 List the prime factors of 121545. 3, 5, 37, 73 What are the prime factors of 2770204? 2, 53, 73, 179 What are the prime factors of 513974? 2, 79, 3253 List the prime factors of 97689. 3, 32563 What are the prime factors of 699205? 5, 13, 31, 347 List the prime factors of 1084748. 2, 7, 19, 2039 What are the prime factors of 49798? 2, 7, 3557 List the prime factors of 6608085. 3, 5, 11, 29, 1381 List the prime factors of 12205420. 2, 5, 610271 What are the prime factors of 25972862? 2, 53, 59, 4153 What are the prime factors of 963761? 963761 What are the prime factors of 770057? 770057 List the prime factors of 12004321. 7, 23, 74561 What are the prime factors of 792? 2, 3, 11 List the prime factors of 9389029. 13, 151, 4783 List the prime factors of 109698. 2, 3, 47, 389 List the prime factors of 22346064. 2, 3, 13, 23, 173 What are the prime factors of 516404? 2, 7, 18443 What are the prime factors of 52864? 2, 7, 59 What are the prime factors of 947158? 2, 473579 List the prime factors of 22709591. 397, 57203 List the prime factors of 470284. 2, 117571 What are the prime factors of 421942? 2, 113, 1867 What are the prime factors of 407277? 3, 13, 59 List the prime factors of 2870685. 3, 5, 63793 List the prime factors of 2362134. 2, 3, 73, 5393 What are the prime factors of 3397763? 3397763 What are the prime factors of 179105? 5, 113, 317 List the prime factors of 4136713. 7, 590959 List the prime factors of 340964. 2, 13, 79, 83 What are the prime factors of 782530? 2, 5, 7, 1597 What are the prime factors of 539091? 3, 7, 43, 199 List the prime factors of 4187142. 2, 3, 37, 6287 List the prime factors of 235558. 2, 117779 What are the prime factors of 3712171? 17, 218363 What are the prime factors of 27145011? 3, 9048337 List the prime factors of 1100431. 601, 1831 List the prime factors of 11406391. 11406391 List the prime factors of 5843643. 3, 13, 149837 What are the prime factors of 6808? 2, 23, 37 What are the prime factors of 1638503? 19, 83, 1039 What are the prime factors of 1368331? 1368331 List the prime factors of 1739005. 5, 347801 List the prime factors of 179387. 13, 13799 What are the prime factors of 16615648? 2, 7, 74177 What are the prime factors of 80289? 3, 11, 811 List the prime factors of 9252916. 2, 523, 4423 What are the prime factors of 471192? 2, 3, 29, 677 List the prime factors of 2192340. 2, 3, 5, 61, 599 What are the prime factors of 3856556? 2, 11, 87649 List the prime factors of 321452. 2, 80363 List the prime factors of 2137488. 2, 3, 44531 List the prime factors of 992333. 211, 4703 List the prime factors of 5632040. 2, 5, 103, 1367 List the prime factors of 14044259. 14044259 List the prime factors of 2660585. 5, 17, 113, 277 What are the prime factors of 8266633? 8266633 What are the prime factors of 590119? 590119 List the prime factors of 6662435. 5, 13, 102499 List the prime factors of 1056471. 3, 13, 103, 263 List the prime factors of 315577. 41, 43, 179 What are the prime factors of 512595? 3, 5, 3797 List the prime factors of 132331. 132331 What are the prime factors of 11887651? 29, 43, 9533 List the prime factors of 11807439. 3, 7, 562259 List the prime factors of 432420. 2, 3, 5, 7207 What are the prime factors of 3462407? 13, 17, 15667 List the prime factors of 1362820. 2, 5, 68141 What are the prime factors of 367398? 2, 3, 20411 What are the prime factors of 8761775? 5, 11, 151, 211 What are the prime factors of 44088? 2, 3, 11, 167 List the prime factors of 6274476. 2, 3, 13, 41, 109 List the prime factors of 277214. 2, 7, 19801 What are the prime factors of 7182233? 23, 13577 What are the prime factors of 509277? 3, 53, 3203 List the prime factors of 1073876. 2, 67, 4007 What are the prime factors of 1833392? 2, 11, 947 List the prime factors of 228190. 2, 5, 19, 1201 What are the prime factors of 390694? 2, 17, 11491 What are the prime factors of 1098170? 2, 5, 193, 569 What are the prime factors of 323455? 5, 11, 5881 List the prime factors of 3359160. 2, 3, 5, 7, 31, 43 What are the prime factors of 402497? 41, 9817 What are the prime factors of 1000078? 2, 673, 743 List the prime factors of 1151700. 2, 3, 5, 11, 349 List the prime factors of 40824366. 2, 3, 11, 439, 1409 List the prime factors of 15356212. 2, 107, 35879 List the prime factors of 233866. 2, 116933 List the prime factors of 577253. 79, 7307 List the prime factors of 291192. 2, 3, 11, 1103 List the prime factors of 875770. 2, 5, 7, 12511 List the prime factors of 2760215. 5, 173, 3191 What are the prime factors of 10990531? 19, 347, 1667 List the prime factors of 1119685. 5, 7, 31991 What are the prime factors of 15770? 2, 5, 19, 83 What are the prime factors of 1449338? 2, 11, 53, 113 List the prime factors of 55217. 55217 List the prime factors of 393708. 2, 3, 7, 43, 109 What are the prime factors of 139206? 2, 3, 23201 List the prime factors of 657925. 5, 26317 What are the prime factors of 4087187? 13, 314399 List the prime factors of 965598. 2, 3, 160933 What are the prime factors of 269950? 2, 5, 5399 What are the prime factors of 224618? 2, 19, 23, 257 What are the prime factors of 548134? 2, 223, 1229 List the prime factors of 5288103. 3, 367, 1601 What are the prime factors of 915509? 7, 130787 What are the prime factors of 643366? 2, 43, 7481 List the prime factors of 433771. 13, 61, 547 What are the prime factors of 1774189? 59, 30071 What are the prime factors of 650986? 2, 7, 46499 List the prime factors of 2787875. 5, 22303 List the prime factors of 13921623. 3, 17, 19, 4789 What are the prime factors of 12454993? 43, 163, 1777 What are the prime factors of 161722? 2, 11, 7351 List the prime factors of 451679. 451679 What are the prime factors of 3436030? 2, 5, 13, 26431 What are the prime factors of 2947451? 13, 19, 11933 List the prime factors of 43443. 3, 1609 What are the prime factors of 224639? 41, 5479 What are the prime factors of 703181? 103, 6827 List the prime factors of 4401275. 5, 176051 List the prime factors of 5898627. 3, 7, 93629 List the prime factors of 34148386. 2, 17074193 List the prime factors of 273600. 2, 3, 5, 19 What are the prime factors of 2186545? 5, 61, 67, 107 What are the prime f
{ "pile_set_name": "DM Mathematics" }
s b? True Let o(q) = q + 4. Let x be o(3). Let j = x + 5. Is j <= 12? True Let i = 12 + -8. Suppose 4*r - 4*c + 12 = 0, 7*r = 2*r - i*c + 12. Suppose 3*x + 3 = -r. Is -2 at most as big as x? True Let n = -999 + 1098. Which is smaller: n or 0? 0 Suppose 5 = 2*h - 3*a + 3, -2*a = -h + 1. Let l be 4/(-18) + 3813/4158. Let w = l - 9/22. Which is smaller: h or w? w Let u be (2 - 1)/(2/(-6)). Let k be (-7)/14 - 303/6. Let t = k - -193/4. Which is smaller: t or u? u Let q = -9.27 + 8.73. Which is greater: -2/5 or q? -2/5 Let r be (4 - 8) + 1/(124/532). Which is bigger: r or -1? r Suppose 2*t = 3*t. Let o = t + 1. Let u = 99/182 - -5/182. Is u bigger than o? False Suppose -2*p + 16 = -0*p. Let f be (2/(-2))/(-23 + 22). Is p greater than or equal to f? True Let d = -199 - -201.86. Let n = d - -0.14. Let l = -0.2 - -0.2. Which is greater: l or n? n Let b(t) = t - 2. Let j be b(-4). Suppose 5*a = z + a + 10, 5*z - 4*a = -2. Suppose q + 3*q + 20 = z*r, 4*r = -3*q - 37. Which is smaller: j or q? q Let k = 77 + -131. Let r(i) = i**2 + 49*i + 589. Let n be r(-21). Which is smaller: k or n? k Suppose -2*h + 3 + 5 = -2*a, 2*a - 10 = -4*h. Let n be -15*4/(-36)*h. Suppose 4 = -n*x - 1. Which is smaller: -7/5 or x? -7/5 Let z = -7 + 19. Suppose 0 = -3*j + 6*j - z. Let f(d) = -d**2 - 5*d - 3. Let p be f(-2). Which is greater: j or p? j Let v = 236 - 236. Let i be 0 + 2/(-62)*-4. Which is greater: v or i? i Suppose j - 5*s - 6 = 0, 8 = -s + 11. Which is smaller: j or 23? j Let y = 42.4 + -42.5. Is y at most as big as -230? False Suppose -17*b = -220 - 324. Does 30 = b? False Let l(o) = -o**2 - 18*o - 11. Let p be l(-17). Suppose -r - 2*r = p. Let v be (-114)/70 - r/10. Is 0 equal to v? False Let c = -42 - -44.2. Let u = -1.7 - -4.1. Let g = u - c. Which is greater: 3/5 or g? 3/5 Let u(g) be the first derivative of -g**4/4 - 4*g**3 + 13*g**2/2 + 15*g + 15. Let b be u(-13). Which is bigger: b or 13? b Let a be 5 + (-9)/(4 + -5) + 6. Let m be (-422)/(-20) - 2/4. Which is bigger: a or m? m Let q = 73 - 73.15. Let m = 1 + -0.95. Let j = q + m. Which is bigger: j or 12? 12 Let v(r) = r**3 + 6*r**2 - 3*r - 14. Let j be v(-6). Let c be 0 - (j/41)/(-2). Are -1 and c unequal? True Let m = -2/221 + -125/10608. Is -1 bigger than m? False Suppose -5*g = -4*g - 2*m + 60, 202 = -3*g - 5*m. Which is smaller: -327/5 or g? -327/5 Suppose 89*h = 72*h. Let g = -1829 - -20106/11. Do h and g have different values? True Let o be (-2)/3*27/(-2). Let n(i) = 7*i - 7 - i + i - o*i. Let m be n(-3). Is 1/12 greater than m? True Let q = -166409498924 - -4309173973528672/25895. Let t = -2/25895 - q. Let b = t - 43. Is 1 smaller than b? False Let w = 403/12 - 137/4. Is -29 at most as big as w? True Let f be (-92)/36*3*3*(4 + -5). Let a(y) = -y**2 + 9*y + 6. Let p be a(6). Which is smaller: p or f? f Let k be 3*(-4 + 3) - -6. Let o be ((-40)/(-12))/((2/k)/(-2)). Which is smaller: o or -13? -13 Suppose -54*p - 30*p = -8*p. Are -1.51 and p unequal? True Let c be 3 + -2 - 5 - (-108)/24. Is c less than -189? False Let s be 1/((-6)/2 + (-116)/(-87)). Let a = 1109/7 + -158. Is s smaller than a? True Suppose 91 = 654*o - 661*o. Which is greater: -2 or o? -2 Suppose 2*s + 16*s = 18. Which is smaller: -6/101 or s? -6/101 Suppose -14*q - 5*t - 17 = -18*q, 35 = 4*q + t. Is 23 bigger than q? True Let v = -11675 - -572119/49. Is v smaller than 0? False Suppose -6 = -4*x - 2. Let b be ((-34)/102)/(32/6). Is b > x? False Suppose -97 = -5*z - 102. Does z = -2/513? False Let a = -13 - -20. Suppose 4*h - a*h = -6. Suppose -2*g = -h*j, g - 3*g + 9 = j. Which is greater: 2 or j? j Let p(m) = -80*m**2 - 84*m**2 - 4*m + 165*m**2 - 1. Let h be (10/(-4))/((-2)/4). Let o be p(h). Is o at most as big as 8/3? False Let k = 16.6 + 0.4. Let x = -16.1 + k. Let d = -5.9 + x. Which is bigger: 0 or d? 0 Let l = 10 + 4. Let z be 976/l + 16/56. Let r = 98 - z. Is r < 28? False Let k(v) = v**3 - 4*v**2 - 10*v + 9. Let r be k(6). Let o be 190/(-4 + r/6). Let h be 16/o*(-10)/(-4). Which is smaller: h or 0? h Suppose 0 = -4*w - 0*w. Let a(i) = i + i + 2 + w*i. Let p be a(2). Which is smaller: 5 or p? 5 Let t = -3.17 - -3.37. Is -1/23 <= t? True Let d = -15.64 - -16. Let c = d + 0.14. Let f = c + -2.5. Are f and -0.5 equal? False Let k be 18/(-5)*2945/(-62). Let f be 0 + k/(-58) + (2 - -1). Is 0 > f? False Let l be 3 + 0 + (-2)/2. Let x = l + 1. Suppose -24 = -9*n + 3*n. Is x at least n? False Let g(c) be the first derivative of c**3/3 - 15*c**2/2 + 5*c - 13. Let m be (-2 - -5)/(2/10). Let o be g(m). Is 5 bigger than o? False Let w = 1 - 0. Let i be (-4)/((-3)/3*15). Let q = -3/5 + i. Is w equal to q? False Let c(x) = x**3 + x**2 + x + 351. Let h be c(0). Let i be 3*((-1406)/h + 4). Which is smaller: i or -1? -1 Let z be 5 + (92/(-24))/(1/(-6)). Is 29 > z? True Let g = 215 + -180.44. Let s = g - -0.44. Let y = s - 33. Which is smaller: y or 1? 1 Let y = 0.3 - 0.1. Let f = y + -0.1. Let l be 10 + (-10)/((-160)/(-168)). Which is bigger: l or f? f Let p be ((-104)/(-84))/(-8 + 3 - -25). Is p less than 1? True Suppose 105 = 3*o + 441. Let q be (-8)/2 - 450/o. Is q > 1? False Suppose -4*n + 14 - 2 = 0. Suppose n*h + 40 = -h. Let j be (2 - 3)*(-35)/h. Is -3 greater than or equal to j? True Suppose 9*r = -111 - 456. Which is smaller: r or -64? -64 Let j = -12 + 20. Let u be (-623)/(-28) + 6/j. Suppose -x - 5*y + u = x, -2*x + 11 = y. Is 3 > x? False Let b = 2 - 0. Let j be (0 - b) + 2 + -1. Let q = 288 + -1153/4. Is q >= j? True Let z = 4784/9 + -534. Let v = 7793 - 7794. Does z = v? False Let l = 40 + -33. Let b(w) = w**3 - 9*w**2 + 12*w + 13. Let g be b(l). Is 7 less than g? False Suppose 11 - 46 = -7*z. Let y = 76 + z. Which is smaller: y or 82? y Suppose 5*f - 138 = g, 0*g + 148 = -g - 5*f. Which is smaller: -142 or g? g Let r be 24635/(-3515) + 12 + (3 - 8). Which is smaller: r or 1? r Let r be ((-8)/42)/(99/21 - 5). Are 111 and r equal? False Suppose 2*o + 2*o - 24 = 2*m, 5*o - 2*m - 30 = 0. Suppose o = 13*p - 19*p. Is p > -4/11? False Let i = -184.9 + 185. Let r = 0.05 - 0.15. Which is bigger: r or i? i Let q = 2 - 0. Let z = 98.62 + -100. Let t = -0.38 - z. Which is bigger: q or t? q Suppose -x + 13 = 3*n - 19, -3*n + 2 = -5*x. Let l = n + -3. Suppose -2*m = l - 0. Is m at least as big as -2? False Let n = 0 + -0.1. Let y = 2.1205 + 0.1795. Which is greater: n or y? y Let s be ((-28)/(-3) + -9)/(2/(-6)). Which is greater: s or -2/3? -2/3 Let s be 5/(-2)*16/40. Are s and 3/8 unequal? True Let p = -76/2228275 + 7605724103/18222832950. Let s = p + -1/282. Let n = s - 408/145. Which is smaller: n or -3? -3 Let w = -25 + 26. Suppose -5*u + 9 = -11, m + w = -3*u. Let l = m + 14. Do -2/11 and l have different values? True Let d = 2103 - 1568. Which is bigger: d or 537? 537 Let v be (-8)/((-1)/(3/(-3))). Let q be (-10)/v*20/(-5). Let m be 30/(-4)*(-28)/(-42). Is q bigger than m? False Let g = -237/407 - 2/37. Let f = 54 - 56. Are g and f non-equal? True Let n be 52/(-2*((-27)/102)/1). Which is smaller: n or 99? n Let c = 1.9 - -4.1. Let w = -6 + c. Let m(a) = a - 9. Let s be m(9). Is s at most w? True Let s(b) = b + 1. Let j be s(-1). Suppose 2*f = -w - 2*w - 3, 5*w + 2*f + 5 = j. Let a be (1/4)/((-6)/16). Is a < w? False Let d be (2 + 3635/(-135))*13*-2. Let r = 648 - d. Is r >= 1? False Let f be ((-2)/20)/((-6)/(-915)). Which is bigger: f or -15? -15 Let i(v) = v**2 - 3*v - 8. Let p be i(6). Let b = -15 + p. Let h(u) = -u**2 - 5*u - 5. Let f be h(b). Is -5 equal to f? True Let f(b) = -b**3 - 2*b**2 - b. Let t(v) = v**2 + 5*v + 3. Let j be t(-4). Let w be f(j). Which is bigger: w or -3/23? w Let j = -0.92 + 0.74. Which is smaller: -9 or j? -9 Suppose 0 = -5*v - 0 + 10. Suppose w - v*q - 3 = -0*w, 5*q = -2*w - 3. Let x be (-1)/(-2) - (-84)/(-152). Which is smaller: x or w? x Let g = 23 - 1015. Is -991 >= g? True Let w = 16/21 - 185/252. Let c(y) = -y**3 - 10*y**2 - y - 11. Let h = -7 - 3. Let a be c(h). Which is smaller: a or w? a Let p = 971 + -983. Is -49/4 smaller than p? True Suppose 2 = -4*a + 10. Suppose 0 = 2*d + a*d + 8. Let c(f) = f**3 - 3*f**2 + f - 4. Let m be c(3). Is m less than or equal to d? False Let s = 8 + -6. Let m = 384 - 383.85. Which is greater: m or s? s Let c = -22 - -40. Is 13 greater than c? False Let j = 1402 +
{ "pile_set_name": "DM Mathematics" }
(-2)*26/52. 1/3 What is 1*(-16 + 1)/(-3) + -4? 1 What is the value of 126/35 - (-2 - -5)? 3/5 What is the value of 1/5 - (-2)/((-20)/42)? -4 What is the value of (-4 - 2)*19/(-342)*-6? -2 22*1/(-14) + 16/28 -1 (-1)/(-4) - -3*1/4 1 What is the value of -7 - (-4 + 7 - 6)? -4 What is the value of 14/(-12) + (-23)/(-23)? -1/6 Calculate 12/6 - 1/(-1)*-8. -6 Calculate (24 + -21)*(-3)/18*-10. 5 What is (2*4/8)/(-1)? -1 Calculate ((-2)/(-4))/((-1)/10). -5 What is the value of 3245/308 + -10 + 4/(-14)? 1/4 What is (0 - (-50)/15) + -4? -2/3 What is the value of 15/(-40) + (-23)/24? -4/3 (-30 - -24)*(-7)/6 7 20*((-136)/(-32) - 4) 5 What is 63/(-9) + (-1)/((-4)/20)? -2 Calculate 0/4 - 6/30. -1/5 What is the value of -2 + (3 - -4 - 3)? 2 Calculate (-52)/(-133) - 46/161. 2/19 Calculate (-4)/(40/(-15))*20/6. 5 What is the value of ((-15)/25*-1)/(4/20)? 3 Calculate (-15)/3 - 240/(-30). 3 What is 3*(12/60)/((-1)/(-5))? 3 What is (-4)/14 - 24/210? -2/5 What is (246/54 - 2) + 16/36? 3 What is the value of -7 - (-4 + 0) - 0? -3 Calculate 9 + 477/(-27) + 10. 4/3 What is the value of -12 - ((10 - 12) + -13)? 3 (1 + 13/(-12))/(122/(-488)) 1/3 What is the value of (-4)/3 + 115/69? 1/3 ((-19)/35 + (-11)/(-77))/(-2) 1/5 3 + -2 + 2/(-3) 1/3 Evaluate 5/20*80/30. 2/3 6 - 12 - (-32)/4 2 What is 2/10*(-22 + 42)? 4 What is (-26)/(-156) - 147/18? -8 Calculate -2*(-4 + 6 + 0) + 4. 0 Evaluate (3/(-12))/(56/64). -2/7 What is the value of 435/232 + (-2)/(-16)? 2 Calculate (2 - 0) + 74/(-37). 0 Evaluate (1/(-15))/(2*2/(-24)). 2/5 What is the value of 11 - (2688/20)/12? -1/5 1/(4/6 - 2/12) 2 What is 45/135*15/2? 5/2 Evaluate 5 + (-7)/(35/20) + -3. -2 Evaluate -3 + 0 - (-18 + 21). -6 Calculate -6 - (0 - 2*(-6)/(-4)). -3 Evaluate 5 + ((-6279)/(-52))/(-21). -3/4 What is the value of (-4)/(-14)*(4 - 18/4)? -1/7 What is 22/66 + 4/(-6)? -1/3 Evaluate (-82)/(-42) + 395/(-237). 2/7 What is (-2)/(-8)*6*(-44)/33? -2 Evaluate (0 - (-4)/2)/(-11 + 12). 2 Evaluate 2 - (-24)/(-15)*35/26. -2/13 Calculate 30/240 + 34/(-80). -3/10 (2*5/(-30))/(-3) 1/9 Calculate 3*(0 - 35/(-63))*3. 5 What is (-5)/3*264/220? -2 What is the value of 2*21/18 - 1? 4/3 Calculate ((-816)/153 + 0 + 5)*15. -5 Evaluate (-44)/40 - (-1 - (-4)/8). -3/5 What is the value of (-33)/924*16/(-6)? 2/21 (-3)/(-4) - ((-102)/(-8))/(-3) 5 Evaluate (-1)/(1/(-4)) - (-50)/(-14). 3/7 38/(-133) - (-104)/(-28) -4 What is the value of (-3 + 98/21)*(-18)/(-15)? 2 What is the value of (6/4)/((-54)/(-180))? 5 4/8 + (-105)/30 -3 (-2 + 0 - 3)*(-12 + 13) -5 What is (-8)/12 + 190/150? 3/5 Calculate (-42)/9 + 4 - (-80)/138. -2/23 Evaluate 12/45*75/(-90). -2/9 What is the value of 140/(-25) + 6 + 4/(-10)? 0 (0/(-2*(-2 + 3)))/2 0 1*(2 + 1 + -8 + 4) -1 What is (-12)/(-84)*(-14)/12? -1/6 (-2)/4 - (-1)/6 -1/3 What is the value of (-3)/(-27)*-1 - 72/81? -1 What is 1/(-4) - (-14 + 1435/100)? -3/5 Calculate (-456)/(-504) - (246/63 - 4). 1 What is (-6)/(-9) + (3 - 4/(-3))? 5 What is ((-78)/(-24) - 3)/1? 1/4 Calculate ((18/(-10))/(-3))/(18/(-180)). -6 Calculate ((-1)/(-2))/(10 + (-1749)/176). 8 What is (4/3)/(2*3)*1? 2/9 What is (8*5/30)/6? 2/9 What is 3/9 - (-22)/(-66)? 0 (30/120)/((-1)/12) -3 Evaluate -1*(5 - 1*7/(-7)). -6 What is the value of -5*(1 - -6 - 6)*-1? 5 Evaluate (((-138)/(-72))/23)/((-2)/6). -1/4 Calculate 45/75 - (-4)/10. 1 1 + (-12)/20 - 49/35 -1 Calculate 28/4 + (-13 - -10). 4 What is the value of 48/5 - 120/200? 9 What is (-15)/(-35) - 45/315? 2/7 -4 + (8 - 3) + 0 1 What is the value of (-17)/204 - 582/(-72)? 8 -2 - ((-32)/3)/4 2/3 What is the value of (-3*1)/(4 + -5)? 3 Calculate 6/45*-5 - 21/9. -3 Evaluate (-532)/(-76) + 1*-10. -3 What is (-63)/(-693)*(2 - 2 - -1)? 1/11 Evaluate (-2)/(-11) - 480/1188. -2/9 Evaluate 8/68 + (-1)/(-153)*16. 2/9 Evaluate (-121)/33 + 3/(-9). -4 Evaluate -1*(4/(-34) + 371/119). -3 Calculate (-133)/(-57)*16/(-14) + 3. 1/3 12/(-28) + (-72)/(-21) 3 Calculate (-7 - -1)/6*0. 0 17 + -14 - (-2 + 1) 4 5*(24/(-32))/((-75)/(-40)) -2 What is (-2 - 8)/(((-805)/14)/23)? 4 Evaluate 30/(-8)*(-160)/200. 3 (11 - 5) + (-37 - -26) -5 What is the value of (8/18)/(140/(-21) - -8)? 1/3 Calculate (((-72)/(-60))/(-3))/(2/20). -4 What is 1 - ((-8)/32 - 2/8)? 3/2 What is (-12)/18*(-6)/(-10)? -2/5 20/90 + (-43)/(-9) 5 What is (0 + 2)*-1*(-5)/2? 5 What is (-6)/10 + 2 + (-3)/3? 2/5 (6/16)/((-30)/(-40)) 1/2 What is the value of -8 - 1715/(-220) - (-12)/(-22)? -3/4 What is the value of (36/126)/(2/14)? 2 Calculate ((-2)/(-12))/((-3)/(-18)). 1 What is (-21)/(-6) + -2 + 402/(-252)? -2/21 Calculate (-148)/333 + 12/27. 0 What is the value of 6 + -3 + 3 + (0 - 7)? -1 What is the value of (3 - 1) + (-2 - -2 - -1)? 3 Calculate ((13 - -2)/(-3))/(-1). 5 Evaluate (-66)/10 - 66/(-11)*1. -3/5 What is (-8 + 1)/1 - -12? 5 Evaluate 3/6 + (-10)/(-4). 3 What is (14/(-12))/(-7) + (-260)/120? -2 Calculate (-18)/(-3) + 2 + -2 + -3. 3 (-11)/((-1980)/(-12))*(-5)/(-3) -1/9 What is (-9)/(-2) + 10/20? 5 What is the value of ((-27)/6)/3*1/(-3)? 1/2 (-4)/((-160)/(-68)) + (-3)/(-15) -3/2 6 + -8 + (70/22 - 1) 2/11 What is the value of (10/(-5) + 126/45)/(-2)? -2/5 What is (4/(-54))/((-2)/(-18)*-3)? 2/9 What is the value of (-220)/(-385) - ((-48)/14 + -1)? 5 110/330 - 70/174 -2/29 Evaluate 624/(-130) - (-3 - 1). -4/5 What is the value of (-2)/(-1) - 56/30? 2/15 Calculate 3 + 1 - (-26)/(-7). 2/7 -4*(2 - (-102)/(-24)) - 5 4 Evaluate (-3 + 1 + 1)/(-4 + -3). 1/7 (-60)/42*(-14)/5 4 Calculate 3/5 + 1*(-2 + 1). -2/5 Calculate (-1 - 1)/(-14 - 312/(-13)). -1/5 Calculate 6*((-10)/2)/10. -3 What is the value of ((-8)/12)/(6/9)? -1 Calculate ((-3)/2 - 1) + (1 - -1). -1/2 2/(-3)*(-145)/(-290) -1/3 Calculate 4/(-28)*7*1/3. -1/3 What is the value of (-38)/(-18) - (68/12 + -4)? 4/9 Evaluate (1 + (0 - 0))/(-1). -1 (10/20)/((-2)/4) -1 Evaluate (0 - 2/(-1)) + 4 + -2. 4 (-296)/(-704)*-4 - (-3)/2 -2/11 6/(-10) + (-418)/(-855) -1/9 What is the value of ((-20)/4 + 2)/((-27)/(-6))? -2/3 Calculate (-5 - 3/(-3))*(-2)/36. 2/9 What is the value of (-81)/(-810) + 6/(-20)? -1/5 Evaluate (-4)/(-2) + -4 + 1. -1 What is -1*((-35)/21 + 2)*15? -5 (-88)/(-22) + (2 - 6) 0 Evaluate (-1 + 1)/(12/6 + -1). 0 Calculate (-833)/153 + 4/9. -5 0 + (-13)/84 + (-4)/(-16) 2/21 Calculate 7 + -10 + (-120)/(-12). 7 What is 18/12 + (-90)/12? -6 What is (5/50*5)/(5/(-2))? -1/5 What is the value of (3 + -4)*((-45)/12 - -3)? 3/4 Calculate 1 - -9*3/(-24). -1/8 What is ((-5)/2)/5*18/(-45)? 1/5 Evaluate (12/(-16)*-2)/(9/6). 1 What is the value of (-231)/126 + (-2)/12? -2 What is the value of 2/6*(-67 + 58)? -3 (90/(-160))/((-12)/8) 3/8 6/33 + (-92)/22 -4 19/(-4) - -5 - 0/1 1/4 -1*(-2)/(-2) - 195/(-130) 1/2 Calculate (-2)/12 + (-19)/(-6). 3 What is the value of (2/(-180))/(17/(-85))? 1/18 4 - (-2 - (5 + -14)) -3 -8 - 10/(160/(-148)) 5/4 What is -5 + ((-4)/3 - 1424/(-240))? -2/5 What is the value of (-8)/10*105/14? -6 (-2 - 3)*(-13 + 12) 5 What is -11 + 1/((-8)/(-87))? -1/8 Calculate (52/96)/1 + (-6)/(-48). 2/3 (((-108)/(-3))/(-6) - -1)/(-1) 5 What is the value of ((-2)/12)/((-40)/(-240))? -1 What is (-5)/6*(-64)/(-240)? -2/9 (78/(-65))/((-4)/(-10)) -3 What is 1/(3 + 42/(-15))? 5 Calculate (19 - 13) + (1 - (-180)/(-25)). -1/5 Evaluate (5/3)/((-17)/(-51)). 5 What is 85/20 + -4 - (-30)/8? 4 What is the value of 5 - ((-7843)/(-1650) - 1/(-6))? 2/25 What is the value of (-4*(-3)/252)/((-1)/(-7))? 1/3 Calculate 1/(-12)*-6*2/(-4). -1/4 (656/246)/((-10)/6 + 1) -4 Calculate (-13)/(-8)*8 + -8. 5 What is ((-2)/66)/(56/(-168))? 1/11 (-62)/(-124)*(2 - (-2)/(-1)) 0 Calculate (8 - 4) + -6 + (-6)/2. -5 What is (-240)/(-288)*8/(-10)? -2/3 Calculate ((-55)/44)/(-1*(-1)/(-1)). 5/4 Evaluate 0 + 3 - (-16)/(-5). -1/5 Calculate 58/(-28) + 13/182. -2 Calculate (0 + 3)*((-90)/27)/10. -1 What is (-2)/(-8) - (-507)/468? 4/3 What is ((-3)/((-9)/8))/(-23 + 29)? 4/9 Calculate 1/(-2) + (-39)/(-42). 3/7 Calculate 0 - (3*-1)/(5/(-5)). -3 What is the value of -4*10/(-80) + (-14)/12? -2/3 Evaluate 180/240 - (-41)/(-44). -2/11 What is (-2)/28*(9 - (-3)/(-1))? -3/7 58/8 + 1 - (-66)/88 9 ((-3)/2)/(111/(-12) + -5) 2/19 What is the value of (-9)/(-9) + -1 + 2 + -4? -2 What is the value of ((-12)/9)/(690/45)? -2/23 Calculate (3 - 8)/(110/(-154)). 7 What is the value of (-4 - (-63)/14) + 0? 1/2 Evaluate 84/(-33) + (-3)/(6/(-4)). -6/11 102 + -103 + ((-6)/5)/(-2) -2/5 What
{ "pile_set_name": "DM Mathematics" }
*i**2*t**2 + 2*i**2*t + 404903*i**2 + 12017*i - 131*t**2 wrt i? -4*t**2 + 4*t + 809806 Differentiate 1626131*h + 1590960 with respect to h. 1626131 What is the second derivative of -4960*r**2 + 39866*r wrt r? -9920 What is the third derivative of 342715*f**3 + 214262*f**2 wrt f? 2056290 What is the third derivative of -95*h**6 + 66*h**5*k**3 + 3*h**2*k**3 + 7939*h**2 + 2*h*k**3 + 3*h wrt h? -11400*h**3 + 3960*h**2*k**3 Find the second derivative of -15514*k*l**2*n**2 + 3*k*l**2 + k*l*n**2 + 25*k*l + 20*k*n**2 wrt l. -31028*k*n**2 + 6*k What is the second derivative of i**2*y**2 - 3047*i**2*y - 488*i*y**2 - i*y + 4*i + 13*y**2 wrt y? 2*i**2 - 976*i + 26 What is the first derivative of 884166*p**3 + 126497 wrt p? 2652498*p**2 Find the third derivative of -3675*a**4*p - 28*a**4 + 3*a**3 + 2*a**2*p - 2*a**2 - 588*p - 2 wrt a. -88200*a*p - 672*a + 18 Find the third derivative of 24015*n**5 + 101969*n**2 + 1 wrt n. 1440900*n**2 Find the first derivative of 81*b**3 - 2*b**2 + 43*b - 279429 wrt b. 243*b**2 - 4*b + 43 What is the second derivative of -2001*a*l**2 - 6*a - 6*l wrt l? -4002*a Find the third derivative of r*x**4 - 506*r*x**2 + r*x - r + 816089*x**6 - x**4 + 24*x**2 - 2*x wrt x. 24*r*x + 97930680*x**3 - 24*x Find the second derivative of -27238*f**5*y**3 + 2*f**5 + 2*f*y**3 + f*y**2 - 3*f*y - 4380*y**3 + 1 wrt f. -544760*f**3*y**3 + 40*f**3 What is the second derivative of -2026834*h**5 - 25325*h + 15 wrt h? -40536680*h**3 What is the third derivative of 307*h*x**3 + h*x**2 - 12*x**3 - x**2 - 2717*x wrt x? 1842*h - 72 Find the second derivative of -47*q**4 - 291*q**3 - 6*q**2 - 5429485*q wrt q. -564*q**2 - 1746*q - 12 Find the third derivative of -836*i**3*p**3 + 2*i**3*p - 3*i**3 - 1075*i**2*p**3 - 724*i**2*p**2 + 4*i**2 - 4*i*p**2 wrt p. -5016*i**3 - 6450*i**2 What is the third derivative of -682184*u**3 - 6530357*u**2 wrt u? -4093104 What is the first derivative of 195*r**2*x**2 - 365*r*x**2 + 171000*x**2 wrt r? 390*r*x**2 - 365*x**2 What is the second derivative of -4694738*p**2 + 400722*p? -9389476 Find the second derivative of -4610*c*q**3 + 2*c*q + 1699*c + 2*q**4 + q**3 - 2*q + 2 wrt q. -27660*c*q + 24*q**2 + 6*q Find the third derivative of 184360*w**5 - 8344*w**2 + 3 wrt w. 11061600*w**2 Find the second derivative of 1380132*n**4 + 15*n + 8259. 16561584*n**2 What is the second derivative of 560194*d**2*p**2 - 476*d**2*p - 6*d**2 - 4*d wrt p? 1120388*d**2 Find the third derivative of 110320*y**3 + 123300*y**2. 661920 Find the second derivative of -5390*n**4 + 35*n**3 + 324579*n wrt n. -64680*n**2 + 210*n Find the third derivative of l**2*y**3 + 17823*l**2*y**2 + 3*l**2*y - 72663*l*y**3 - 2*y**3 wrt y. 6*l**2 - 435978*l - 12 Find the second derivative of -160639*c**3 - 32237*c - 1 wrt c. -963834*c Find the third derivative of 25*d**3*j**3 - 2*d**3*j - 4*d**3 - d**2*j**2 + 10*d**2 + 2068*d*j**3 - 107 wrt j. 150*d**3 + 12408*d Find the second derivative of 50563*h**5 + 21144*h. 1011260*h**3 Find the second derivative of 30*u**3*z**4 - 22*u**3*z - 3*u**3 - 67*u**2*z + 95*z**5 - 2*z wrt z. 360*u**3*z**2 + 1900*z**3 Find the first derivative of -694856*m + 609492 wrt m. -694856 What is the second derivative of -6*p**4 - 827*p**2 - p + 48028 wrt p? -72*p**2 - 1654 What is the first derivative of 5*h**2*y + 17*h**2 - 44*h*y - 884174*y wrt h? 10*h*y + 34*h - 44*y What is the second derivative of -539891*d**2 - 24388*d? -1079782 What is the third derivative of 26742*i**3*j**2 + i**3*j - 12*i**2*j**2 + 679*i*j**2 wrt i? 160452*j**2 + 6*j Find the third derivative of -79320*q**6 + 3447*q**2 + 14*q. -9518400*q**3 What is the third derivative of -234890*g*s**3 + 332631*g*s**2 wrt s? -1409340*g Find the second derivative of 39749*f*x**3 + 8*f*x + 2*f - 12*x**5 - 3*x - 190 wrt x. 238494*f*x - 240*x**3 What is the second derivative of -512266*h**4 + 26*h + 612 wrt h? -6147192*h**2 Differentiate 1457276*j*x**2 - 1404*x**2 + 225 wrt j. 1457276*x**2 What is the third derivative of 15405*i**5 - 3*i**4 - 2*i**3 - 543*i**2 + 19*i - 2? 924300*i**2 - 72*i - 12 What is the third derivative of -12*n**3*x**3 - 2*n**3 + 1479*n**2*x**3 - 18*n**2 + 2*n*x**2 + x**3 - 21 wrt x? -72*n**3 + 8874*n**2 + 6 Find the first derivative of 152*b**3 - 294*b**2*w**3 + 375*w**3 - 16*w - 6 wrt b. 456*b**2 - 588*b*w**3 What is the second derivative of 26*r**3 - 259*r**2 + 86671*r wrt r? 156*r - 518 What is the second derivative of -3172*o**3*q**4 + 3*o**3*q**2 - 4*o**3 - 291*o**2*q + q wrt q? -38064*o**3*q**2 + 6*o**3 Find the first derivative of -148900*r**2*z - 116*z + 529 wrt r. -297800*r*z Find the second derivative of -17360*j**4 - 2*j + 27953. -208320*j**2 Find the second derivative of 388*h**2*y**3 - 91*h**2 - 135*h*y**3 - 8*h - 3 wrt h. 776*y**3 - 182 Find the second derivative of k**3 - 4006*k**2 + 3*k + 1093 wrt k. 6*k - 8012 What is the first derivative of 89032*z**4 + 39441 wrt z? 356128*z**3 What is the third derivative of 312*b**2*g**3*j - 3*b**2*g**2*j - 3*b**2*g**2 - 2*b**2*g*j + 11*b**2*g + 7*b*g**3*j - 2*b*g**3 - 23*b*g wrt g? 1872*b**2*j + 42*b*j - 12*b Find the first derivative of 163259*y**2 - 147912. 326518*y Find the third derivative of 53355*j**3*o*r**3 - j**3*o*r**2 - 14*j*o*r**2 - 4*o*r**3 + 3*r**3 + 32677*r**2 wrt r. 320130*j**3*o - 24*o + 18 Differentiate -10*h**3 - 26*h**2 - 19*h - 63237. -30*h**2 - 52*h - 19 Find the third derivative of -187*m**3*p**4 + 9*m**3 + 48*m**2*p**5 - 519*m**2*p**2 - 2*p wrt p. -4488*m**3*p + 2880*m**2*p**2 Find the second derivative of -54970*x**3 + 31644*x. -329820*x What is the third derivative of 167257*j**3*r + 5379*j**2 - 98*r + 2 wrt j? 1003542*r Find the first derivative of 460445*p + 1595535. 460445 Find the second derivative of -h**4 - 309*h**3 - 5*h**2*z - 392*h*z + 2*h - 13*z wrt h. -12*h**2 - 1854*h - 10*z Find the third derivative of 12*s**4 + 6715*s**3 + 8868*s**2 - 14. 288*s + 40290 Find the third derivative of -2*d**3*i**2 + 14*d**3*o**5 - 24*d**2*i**2*o - 2*d**2*i*o - 982*d*i**2*o**4 - d*i*o**2 + 4*i**2*o**2 wrt o. 840*d**3*o**2 - 23568*d*i**2*o Differentiate -6756*x**2 - 14*x + 1224642 with respect to x. -13512*x - 14 Find the third derivative of 60*g**5*v**2 - 921*g**3*v**2 - g**2*v**2 + 1520*g**2*v - 3*v**2 + 1 wrt g. 3600*g**2*v**2 - 5526*v**2 Find the first derivative of -493*i*u**4 + 300376*i + 3*u**3 wrt u. -1972*i*u**3 + 9*u**2 What is the first derivative of -4983273*h*x**2 - x**2 - 52*x - 202 wrt h? -4983273*x**2 What is the second derivative of -13*i**4 + 1482*i**3 + 85*i - 368 wrt i? -156*i**2 + 8892*i Find the second derivative of 17*q**4 + 1393*q**3 + 20622*q - 2. 204*q**2 + 8358*q What is the derivative of 75375*q + 77262? 75375 Find the third derivative of 255*s**4 + 69*s**3 + 327484*s**2 wrt s. 6120*s + 414 Find the second derivative of 2240*p**3 + 398*p + 460 wrt p. 13440*p Find the first derivative of -4*a**2*l**2 + 269544*a**2 + 1443*a*l**3 wrt l. -8*a**2*l + 4329*a*l**2 What is the third derivative of 2*d**5 + 4*d**4 + 2004*d**3 + 115*d**2 - 474*d + 3 wrt d? 120*d**2 + 96*d + 12024 Differentiate -44024*d**2*i**2 + 76878*d**2 + d*i + 2*i**3 - 11 with respect to i. -88048*d**2*i + d + 6*i**2 What is the third derivative of -91135*p**3*u**3 + 100*p**3*u**2 - 13*p**2*u**2 + 3*p wrt u? -546810*p**3 Find the third derivative of -q**6 - 9*q**4 + 3595*q**3 + 143*q**2 - 4*q + 72 wrt q. -120*q**3 - 216*q + 21570 What is the third derivative of 633*s*y**4 + 2*s*y**2 + 173*s*y - 50*y**4 + 62*y wrt y? 15192*s*y - 1200*y Differentiate -528*l**3 - 29*l**2 - 2160352 with respect to l. -1584*l**2 - 58*l What is the third derivative of 4*i**4 + 219957*i**3 - 62298*i**2 - 4*i wrt i? 96*i + 1319742 What is the third derivative of 5*l**4 + 5931*l**3 - 97490*l**2 wrt l? 120*l + 35586 Differentiate 5*c**3*f**2 + 2074*c**3*f + 43*f**2 + 390 with respect to c. 15*c**2*f**2 + 6222*c**2*f Find the first derivative of -5*a**4 - a**3 - 9724*a**2 + 343910. -20*a**3 - 3*a**2 - 19448*a What is the second derivative of -173*a**2*w + 6707*a**2 + 37800*a*w - 21*w wrt a? -346*w + 13414 Differentiate 4*k*y**2 - 65311*k*y - 5*k - 217682 with respect to y. 8*k*y - 65311*k Find the second derivative of -138154*c**2 - 275320*c. -276308 What is the second derivative of 30*f**3*y + 93*f**3 + 2*f**2*y - 24716*f*y + 4 wrt f
{ "pile_set_name": "DM Mathematics" }
60626*o for o. -17 Solve -2*g - 5*g - 20*g + 8090 - 8954 = 0 for g. -32 Solve -1385*k - 2068*k = 20718 for k. -6 Solve 0 = -108*m + 2013 - 527 + 4843 + 2743 for m. 84 Solve 817826 = -72*c + 822506 for c. 65 Solve -107*w + 250*w = -142*w + 5985 for w. 21 Solve 184*b - 14*b + 739 = 9069 for b. 49 Solve 1341*r = -1410*r + 24964 + 46562 for r. 26 Solve 246088 - 94852 = 2167*t + 2609*t - 130548 for t. 59 Solve 616*u - 8520 = 971*u for u. -24 Solve 1574*o - 11*o + 14826 + 6944 = -17305 for o. -25 Solve 366*t + 32927 = 3993*t - 94018 for t. 35 Solve -45*w + 1834 - 10 = 69*w for w. 16 Solve 2069*g - 5570*g - 555401 = 3712*g for g. -77 Solve -599*m = 319*m - 4971 + 29757 for m. -27 Solve -33398 - 57257 + 5087 = 1337*b for b. -64 Solve 45415*k - 1350 = 45334*k - 4671 for k. -41 Solve 746*l = -352*l - 2849*l - 130251 for l. -33 Solve 8204*t + 1862 = 8302*t for t. 19 Solve 0 = 2863*k + 6837*k + 87300 for k. -9 Solve 1859*w + 34139 = -12336 for w. -25 Solve -308*q - 1208*q - 13906 - 3462 = 655*q for q. -8 Solve -3208*f + 1003*f = -1074*f - 982*f + 10281 for f. -69 Solve 0 = -157*w - 133376 + 126311 for w. -45 Solve 7764*k - 4818*k = 3795*k - 40752 for k. 48 Solve 3548*g + 41283 = 46301 + 112066 for g. 33 Solve 5127*c + 5129*c = 10244*c + 168 for c. 14 Solve -93*q - 1344 - 1023 = -228 for q. -23 Solve -362*u = -45*u - 534 - 534 + 117 for u. 3 Solve 320*b - 82*b + 368*b = 56*b + 2750 for b. 5 Solve 1902*h = 2043*h + 1551 for h. -11 Solve 0 = -45*p - 2678 + 23 for p. -59 Solve s - 29 + 665 = 11*s - 114 for s. 75 Solve 103356 = 7124*j - 75622 - 11383 + 5137 for j. 26 Solve 0 = -2255*k + 183758 + 25957 for k. 93 Solve 4009*i = 3960*i - 1127 for i. -23 Solve -16*q - 2970 = 24*q - 7*q for q. -90 Solve 1443*w = -1472*w + 2983*w - 2516 for w. 37 Solve 14678 = 401*t + 11871 for t. 7 Solve -1818*l - 8976 = -1290*l for l. -17 Solve 89*l - 90*l - 17277 = 255*l + 187*l for l. -39 Solve -1454*j - 17886 = -7726*j + 534050 for j. 88 Solve 0 = 7011*y + 288*y + 1787 - 45581 for y. 6 Solve -1269*z - 29739 + 180751 = 2139*z + 566*z for z. 38 Solve -8400 = 173*k - 10855 - 11904 for k. 83 Solve -9802*b + 9877*b - 2175 = 0 for b. 29 Solve 62*v + 3309 - 5033 + 4204 = 0 for v. -40 Solve -858*b + 77571 = -1365*b for b. -153 Solve -19*t - 10*t + 12*t = 1122 for t. -66 Solve 53*s + 19*s + 384 = 120*s for s. 8 Solve 811*o - 75344 = 1757*o + 1257*o + 2229*o for o. -17 Solve 34*q + 5544 = 5408 for q. -4 Solve 1485*i + 122848 = 5533 for i. -79 Solve -203*v + 94*v + 70*v + 13076 = 895*v for v. 14 Solve -8691*x - 8677*x - 3317 = -17475*x for x. 31 Solve -551*m - 1135*m - 52266 = 0 for m. -31 Solve 2369*c = -1076*c + 77359 + 88001 for c. 48 Solve -55*k - 43212 = -46787 for k. 65 Solve -39794 - 20386 = 1770*v for v. -34 Solve -55226*x + 204869 = -49689*x for x. 37 Solve 0 = -1358*l + 26669 + 16787 for l. 32 Solve -1221*w - 8368 + 4315 = -11800 - 9347 for w. 14 Solve -286*a - 95*a + 14388 + 15096 = -17*a for a. 81 Solve 1083*n - 114475 = -2222*n - 45070 for n. 21 Solve -6660 - 25917 + 8449 = 1508*m for m. -16 Solve 625*m + 485*m - 4210 = 268*m for m. 5 Solve 2218*m + 2071*m + 312390 = 818*m for m. -90 Solve -6789*r = 6448*r + 1194130 - 29274 for r. -88 Solve 184839 + 182955 = 6811*s for s. 54 Solve 24400 = 521*a - 2961*a for a. -10 Solve -7284*i = -8041*i - 68887 for i. -91 Solve -26981 = -1191*y - 191*y + 35209 for y. 45 Solve 519*i + 1795*i = -660*i - 118015 + 373779 for i. 86 Solve -294*y + 7366 + 4100 = 0 for y. 39 Solve 2261*t - 15861 - 19812 = -1195*t + 2343 for t. 11 Solve 178*y - 15765 = -50*y - 1105 - 2120 for y. 55 Solve 451*n - 165*n + 267900 = 2636*n for n. 114 Solve 76*l + 430 = -610 - 1316 for l. -31 Solve 306*h - 131*h - 280*h + 4774 + 1316 = 0 for h. 58 Solve -588*y + 1302*y - 1515 = 613*y for y. 15 Solve 48*c - 35*c = 110*c - 3097 + 866 for c. 23 Solve -88*a - 75*a + 8877 = 139*a - 33*a for a. 33 Solve -2113*o - 75847 - 62076 + 13086 + 21300 = 0 for o. -49 Solve 625*l + 28952 - 2077 = 0 for l. -43 Solve -13896 + 9329 + 9182 = 71*y for y. 65 Solve 829 - 4945 = 49*g for g. -84 Solve 309 + 29663 + 1289 = 1551*r - 72656 for r. 67 Solve 2016*z - 52219 = -715*z + 54290 for z. 39 Solve 115634 = -9295*z - 33086 for z. -16 Solve -204*o = -88*o - 71*o - 129*o - 3948 for o. -47 Solve 751*g - 41757 = 3256*g - 121917 for g. 32 Solve 2069*f = 2157*f + 5192 for f. -59 Solve 27*v - 130*v - 497 = -13475 for v. 126 Solve 356*m + 437492 = 464904 for m. 77 Solve -95569 = -28*g - 95989 for g. -15 Solve 940 - 104 = -170*t + 3313 + 1263 for t. 22 Solve 0 = -4704*w + 5857*w - 131442 for w. 114 Solve 251*o + 87*o - 3718 = 0 for o. 11 Solve -2594*l + 8053*l + 3634*l = 1045695 for l. 115 Solve 416*r + 357*r - 1485 = 728*r for r. 33 Solve 110*g - 950 = 300*g for g. -5 Solve -2520*v + 28682 = 31202 for v. -1 Solve 0 = -556*y + 54*y + 14*y + 14152 for y. 29 Solve -48*j + 90487 - 91879 = 0 for j. -29 Solve -2043*p - 70*p - 54938 = 0 for p. -26 Solve -84*m - 24971 = 298*m + 206*m - 6743 for m. -31 Solve -362 - 43 + 195 = 14*v for v. -15 Solve 73*r + 403*r = -27132 for r. -57 Solve -1599*w = 98007 - 22854 for w. -47 Solve -188*m - 49314 = 231*m - 231 - 2993 for m. -110 Solve 0 = 460*g - 1325*g + 670*g + 1950 for g. 10 Solve 174*z - 1441*z = -175*z - 21840 for z. 20 Solve -963868 = 103*f - 964795 for f. 9 Solve -606 + 2308 + 375 = 67*w for w. 31 Solve 48646 = 905*c - 20461 - 28633 for c. 108 Solve -9076 + 5071 = 445*c for c. -9 Solve -151*l - 6751 = -258 for l. -43 Solve 1317*b - 161*b + 2326 + 51697 = -13025 for b. -58 Solve 12*x + 8623 = -101*x + 35 for x. -76 Solve 1259893 + 380774 = -29613*q + 464359 - 778150 for q. -66 Solve -3492*v + 19099 = -19130 - 14151 for v. 15 Solve -236332 - 136523 = 5565*y for y. -67 Solve -34*l - 44*l + 2208 = 60*l for l. 16 Solve 29*a = 804225 - 803094 for a. 39 Solve 198*q = -1668*q + 8715 - 34839 for q. -14 Solve -30913*h - 615087 = -24700*h for h. -99 Solve -22*x - 23001 + 45385 = 22956 for x. -26 Solve -7509 = -321*q + 8619 - 766 + 3256 for q. 58 Solve 186948 = 2627*l + 2566*l for l. 36 Solve 390*b - 16419 + 32409 = 0 for b. -41 Solve -1729*r - 2242 = -1847*r for r. 19 Solve 96*k + 92*k + 86 = -152*k + 338*k for k. -43 Solve -335*p + 2254*p = -1031*p + 23600 for p. 8 Solve 1380 = -6*i + 643 + 647 for i. -15 Solve 131*z - 1299*z = -56*z - 87848 for z. 79 Solve -30 - 55 + 1270 = 27*k + 267 for k. 34 Solve 6217 - 4 = 290*b + 103 - 560 for b. 23 Solve 982*p = -991*p + 1999*p - 468 for p. 18 Solve 2946*g = 3043*g for g. 0 Solve -1215771*p + 1215860*p = -3115 for p. -35 Solve 3013*v - 66781 + 12547 = 0 for v. 18 Solve 0 = 285799*y - 285845*y - 506 for y. -11 Solve 0 = 222*s + 177706 - 182590 for s. 22 Solve 1355*c = -1061*c + 1360*c - 19008 for c. -18 Solve -20*f = 32*f + 34*f + 8*f + 4888 for f. -52 Solve -6891*k + 17181 = -5738*k + 52924 for k. -31 Solve 0 = 350*q + 6875 + 14825 for q. -62 Solve 2358 - 1011 = -15*k - 42*k - 135 for k. -26 Solve 248560*z = 248661*z + 3434 for z. -34 Solve 318*a + 124*a = 194*a - 225*a + 48719 for a. 103 Solve 342 = -5*p + 5 + 27 + 135 for p. -35 Solve 8841*r + 114140 = -62680 for r. -20 Solve 231 - 12068 = 475*i + 16056 + 1082 for i. -61 Solve -3919*l + 2098*l = 2603*l + 115024 for l. -26 Solve 434*x + 3186 + 5024 = -15226 for x. -54 Solve 4*f - 79435 = -79715 for f. -70 Solve 6*y + 1062 = 46*y + 78*y for y. 9 Solve 0 = -220*s + 861 + 44 + 5035 for s. 27 Solve 42131 = 612*a + 25607 for a. 27 Solve -1085*w - 12731 + 6226 - 5947 = -4198*w for w. 4 Solve -187*d - 13012 = -415*d + 1092*d + 1676 for d. -17 Solve 466*b - 4887 = -142*b + 3029 + 2420 for b. 17 Solve -360028 - 99206 = 10386*u + 153540 for u. -59 Solve -179*d + 544 = -419*d + 163*d + 145*d for d. 8 Solve 2907*j = -216*j - 46845 for j. -15 Solve -424*a + 667*a = -3659 - 6790 for a. -43 Solve -3596 - 2529 = 243*y - 292*y for y. 125 Solve 44566*u - 44556*u + 322 = -222 - 166 for u. -71 Solve -2119*u + 5140*u + 3060 = 2409*u for u. -5 Solve -70 - 145 - 133 = -116*a for a. 3 Solve 2975*l + 1898 = 287*l - 14230 for l. -6 Solve -109900 = -777*r + 2347*r for r. -70 Solve -28324*t = -28898*t - 33866 for t. -59 Solve -7915*m = -3940*m - 3899*m + 3800 for m. -50 Solve 120*k + 3002 = -118 for k. -26 Solve -3091*n + 604053 = 1820*n for n. 123 Solve -112*a + 72*a + 90*a - 4800 = 0 for a. 96 Solve
{ "pile_set_name": "DM Mathematics" }
) = 4*u - 4. Let k be f(1). Find the common denominator of ((-1661)/(-6))/11 + k and -95/2. 6 Let a = 2/392921781 + -375876460193/51865675092. Let x = a - 2/693. Find the common denominator of x and -13/2. 4 Let c(r) = 8*r + 9*r - 4*r + 15*r + 20. Let p be c(-14). Calculate the common denominator of p/8 + -1 - -1 and -83/12. 12 What is the common denominator of (39/(-182))/((-15)/(-29)) and -63/8? 280 Let y(r) = 2*r**2 - 7*r + 7. Let i be y(7). Suppose -3*z + i = z. What is the common denominator of (-99)/z*2/(-6) and -99/16? 112 Let b be (-14)/(-12)*580377/70. Let t = 9678 - b. What is the common denominator of -25/16 and t? 80 Let t = -1065772879/44 + 24224113. Let w = t - 2002. What is the common denominator of -51/20 and w? 220 Calculate the common denominator of -143/18 and (-19)/(-1178)*(162/(-20) + 2). 5580 Suppose -8*b + 6*b = 32. Let u be (b/2)/((-18)/33). Let a = 175/6 - u. What is the common denominator of 83/20 and a? 20 Let u(n) = n**2 + 12*n + 4. Let g be u(-12). Suppose -7*b + 14355 = -g*b. Let x = -105227/22 + b. What is the common denominator of x and -93/22? 22 Let s = 111 - 189. Let k = s + 34. Calculate the common denominator of 33/8 and k. 8 Let d be (-82)/(-4) - 2/(-4). Suppose r - 3*p - 209 = -3*r, r - 5*p - 65 = 0. Suppose 0 = -d*m + 16*m + r. What is the lowest common multiple of m and 18? 90 Let v(s) = 2*s**3 - 18*s**2 + 4*s - 21. Let m be v(16). Let d = 14583/4 - m. Calculate the common denominator of -21/11 and d. 44 Suppose 3*m = 3*y - 11 - 7, -5*m = -3*y + 12. Calculate the common denominator of (-3562)/(-156) - 2/6 and (-6)/y + (-38)/(-28). 42 Let x = 1252 - 1232. What is the least common multiple of 45 and x? 180 Calculate the common denominator of ((-738)/(-192))/((-6)/(-8)) and -71/408. 408 Let t be (-10 - -8)*1/(4/(-10)). Suppose 0 = -t*w + 82 - 2. What is the least common multiple of 2 and w? 16 Suppose 0 = -3*v + 2*v - 2*u - 2, 4*u = -16. What is the least common multiple of 21 and v? 42 Let s be (-1 + 0)*(4 + -5). Let z = 129853/21140 - -1/3020. What is the common denominator of s*(3 + (-225)/(-20)) and z? 28 What is the smallest common multiple of (12 + 552/(-18))*(-36)/14 and 30? 240 Let b = -13382/15 - -888. What is the common denominator of ((-12)/(-15) + -1)/((-24)/1660) and b? 30 Find the common denominator of (-603)/67*((-261)/(-262) - 1) and -27/2. 262 Let u(o) = o**2 + 8*o + 10. Let s be u(-7). What is the common denominator of -87/16 and (-59)/(-10) - s/5? 80 Let x = 28/241 + -86575/482. Let h = x + 892/5. Find the common denominator of -22/5 and h. 10 Let q be (4/(-6))/((-14)/3297). Let o = q + -117. What is the lowest common multiple of o and 36? 360 Let g(c) = c + 10. Let y be g(-5). Let f = 8 - y. Calculate the smallest common multiple of f and (2/3)/((-2)/(-21)). 21 What is the least common multiple of 5 and 585*(24/4)/18? 195 What is the smallest common multiple of (-472)/(-32) + 18/(-24) and 42? 42 Find the common denominator of 1/522 and (-20)/55 + (-859)/1782. 4698 Let i(b) = 6*b**2 + 5*b - 24. What is the lowest common multiple of i(3) and 36? 180 Suppose -31*y + 113 = -197. Suppose 4*u + 3*r - 22 = 5, -3*u + 3*r = -15. Calculate the smallest common multiple of y and u. 30 Suppose 5*o - 2*p - 352 = 0, -o + 6*p = 7*p - 76. Calculate the smallest common multiple of o and 14. 504 Let r = 22 - -3. Let c(z) = -3*z + 4. Calculate the least common multiple of 0/(-2) - (-39 + r) and c(-4). 112 Let z = 5302/9 - 592. Find the common denominator of 107/48 and z. 144 Find the common denominator of 1265/(-140) - (-4)/14 - -2 and (-3)/3 + (-63)/(-16). 16 Suppose -8*z + 13 = -7*z. Let b = z + -5. Suppose -3 = -2*v - 5*w + 11, -2*v = -5*w + 6. What is the lowest common multiple of v and b? 8 Suppose -3*a = h - a + 2, -4*h - 3*a = 33. Let r = h - -16. What is the smallest common multiple of r and 10? 20 Suppose -4 + 1 = -f. Suppose 5*t + 5 = -2*d + 1, f*t = -d - 4. What is the lowest common multiple of (2 + 1)/(1 + 0) and d? 24 Suppose -14*i - 102 = -18. Calculate the common denominator of (i/(-1 + 1873))/(1/242) and -59/3. 156 Calculate the common denominator of (((-12)/3 - -3) + 6)/57 and -127/12. 228 Let p = -9 - -17. Let f = p + -6. Calculate the smallest common multiple of f and (390/(-52) - (-2)/4)*-2. 14 Suppose 0 = 4*i - 2 - 6. Suppose -2*b - 5*f + 7611 = -20922, i*f = -4*b + 57026. Let m = -142421/10 + b. What is the common denominator of m and 83/20? 20 Suppose 12 = 2*y - 0. Let q(p) = 2*p - 3. Let r be q(4). Suppose 0 = -r*h + 3*a + 57, 3*h - 40 = -a - 3*a. What is the lowest common multiple of y and h? 12 Suppose -3*c = -c - 152. Calculate the common denominator of -69/22 and (c/(-30))/((-20)/25). 66 Let c = 26 + -77. Find the common denominator of c/21 - 9/(-6) and 49/4. 28 Suppose -9*i + 40 = -176. Find the common denominator of -91/12 and (79/(-28))/(18/i*1). 84 Suppose 0*h = -3*h - 75. Let q = -13 - h. Let k(r) = 3*r - 20. What is the lowest common multiple of q and k(14)? 132 Suppose -g = -4*o + 217, -5*o + 7*g = 6*g - 272. What is the least common multiple of 175 and o? 1925 Find the common denominator of 5/4*10/(-6) and (-756)/77 - (-11 + 2). 132 Let k = -619/2 - -6279/20. Calculate the common denominator of k and (-1)/6*-121 + (-11 - -12). 60 Let j(i) = -i**3 - 9*i**2 + 10*i + 4. Let p(u) = 9*u**3 - 2*u**2 - u. Let s be p(-1). What is the least common multiple of (-102)/(-27) + 2/9 and j(s)? 4 Let c = 68 - 117. Let l = -1/25039 + -10240945/150234. Let x = 4547/66 + l. What is the common denominator of c and x? 11 Suppose -y + 32 = 5*l - 0*y, 0 = 4*l - y - 22. Let c = l + 26. Suppose w = -3*w + c. What is the least common multiple of 6 and w? 24 Calculate the common denominator of (2 - 3) + 5 + 10/(-105) and -40/3. 21 Calculate the lowest common multiple of (-4)/(-10)*5/(-6)*-45 and 90. 90 Let n = -206 - -230. What is the smallest common multiple of 12 and n? 24 Let o(b) = -b**3 + 7*b**2 - 6*b + 2. Let m be o(6). Let g = m - 0. Suppose -7 - 1 = -g*c. Calculate the smallest common multiple of 10 and c. 20 Let n = 395315 - 174333994/441. What is the common denominator of n and 145/42? 882 Find the common denominator of 53/9 and (-98)/(-36)*(1 - 28/36). 81 Suppose 2*h + 3 = 2*k + 15, -h + 46 = -5*k. Let o be (-25 - 0) + (-1)/(-1). Let x = k - o. What is the lowest common multiple of 12 and x? 84 Let b = 18/11 + -125/33. What is the common denominator of b and 19*(-2 - (-14)/6)? 33 Let x be 55*-2*14/(-45). Let j = x - 583/18. Let u = 1290 + -3913/3. Calculate the common denominator of u and j. 6 Let g(j) = j**3 + 5*j**2 - 6*j + 5. Suppose 3*y - 55 = 26. Let u = 21 - y. What is the lowest common multiple of g(u) and 1? 5 Find the common denominator of -89/24 and ((-132)/320)/(18/(-195)) + -5. 96 Find the common denominator of -5/44 and 340/56*24/(-80). 308 Suppose -10*a + 6*a = -3*s - 45, 3*a + s = 37. Suppose -4 = -5*z + 1. What is the least common multiple of (1*21 + 1)*z and a? 132 Let i = 393/6490 - -52111901/2939970. Let w = -18/151 + i. Find the common denominator of 119/6 and w. 6 Let d = 768 - 640. What is the lowest common multiple of 28 and d? 896 Let v = -287/390 - -49/520. Find the common denominator of v and 23/18. 360 Find the common denominator of 1*-3 + 63*(-12)/(-96) and 30/(-44) + (-1)/(-2). 88 Calculate the common denominator of -49/52 and 8 - (14972/1872 + 0). 468 Let a = -38 + 23. Let s = 15 + a. Suppose 4*m + 5*j - 47 = 18, s = 2*m + 2*j - 30. What is the lowest common multiple of m and 18? 90 Let q = 7332 - 527851/72. Calculate the common denominator of q and -97/6. 72 Suppose -2229 = -16*i + 907. Calculate the smallest common multiple of i and 70. 980 Let i = 436 + -433. What is the least common multiple of i and 393? 393 Let o = 63493/14 - 4540. Let j(k) = 317*k + 3. Let r be j(-5). Find the common denominator of o and r/(-72) - 2/9. 28 Let c(u) = -5*u + 5. Let l be 1/(2 + 15/(-6)). What is the smallest common multiple of 2 and c(l)? 30 Let k(x) = x**2 + 2*x + 14. Let i = -25 - -39. What is the smallest common multiple of k(-4) and i? 154 Suppose 4*c = 4*j + 524, -5*j + 141 = c - 20. Calculate the lowest common multiple of 20 and c. 680 Let b be 0 + (4 + -2)/2. Let y(u) = 6*u**2 - 2*u + 1. Let t = -34 - -36. What is the lowest common multiple of t and y(b)? 10
{ "pile_set_name": "DM Mathematics" }
, 6075, 10513, 16217, 23187? 31423 What comes next: -92560, -370492, -833786, -1482442, -2316460, -3335840? -4540582 What comes next: 2477763, 2477766, 2477769? 2477772 What is the next term in -946, -1530, -2512, -3898, -5694, -7906, -10540? -13602 What is the next term in 587359, 587608, 587859, 588112, 588367, 588624? 588883 What is next in 13337, 53099, 119367, 212141, 331421, 477207? 649499 What is the next term in 1350, 1733, 2378, 3303, 4526, 6065, 7938, 10163? 12758 What is next in 23519, 46959, 70399? 93839 What is next in -210, -428, -670, -948, -1274? -1660 What comes next: -249262, -249256, -249250, -249244, -249238? -249232 What is the next term in -1909, -3140, -3693, -3568, -2765, -1284? 875 What is next in 9235907, 18471814, 27707721, 36943628, 46179535, 55415442? 64651349 What comes next: -537, -793, -705, -273? 503 What comes next: -3405, -13695, -30835, -54825, -85665, -123355? -167895 What is the next term in 345, 393, 445, 501, 561, 625, 693? 765 What is next in 33333, 66678, 100049, 133446, 166869? 200318 What is the next term in 221, 2730, 5299, 7958, 10737, 13666? 16775 What is the next term in 22790, 23453, 24560, 26111, 28106? 30545 What is next in -5806, -17371, -28936, -40501, -52066? -63631 What comes next: 28055, 54153, 80253, 106355, 132459, 158565, 184673? 210783 What is the next term in 254769, 257382, 259995, 262608? 265221 What comes next: 219971, 879872, 1979703, 3519458, 5499131, 7918716? 10778207 What is next in 556, -2272, -5672, -9638, -14164, -19244? -24872 What is next in -82937, -82914, -82889, -82862, -82833, -82802? -82769 What is the next term in 4508, 3902, 3296, 2690? 2084 What comes next: -11789, -11860, -12049, -12416, -13021? -13924 What is the next term in 64561, 258294, 581233, 1033384, 1614753, 2325346? 3165169 What is the next term in 18810, 18725, 18514, 18117, 17474, 16525, 15210? 13469 What comes next: -188, -1352, -4494, -10604, -20672, -35688, -56642, -84524? -120324 What is next in -264054, -1056307, -2376728, -4225317, -6602074, -9506999? -12940092 What is the next term in 709, 1344, 1881, 2320, 2661, 2904, 3049? 3096 What is next in 314, 500, 826, 1310, 1970, 2824, 3890? 5186 What is next in -1474297, -5896943, -13268017, -23587519, -36855449, -53071807? -72236593 What comes next: 4285, 15871, 35189, 62245, 97045, 139595, 189901? 247969 What is the next term in 36762, 36751, 36732, 36705, 36670, 36627, 36576? 36517 What is the next term in 3505, 10072, 21017, 36340, 56041, 80120? 108577 What is next in -182410, -182424, -182438, -182452, -182466? -182480 What is next in -1916577, -1916591, -1916615, -1916649, -1916693, -1916747, -1916811? -1916885 What comes next: -650337, -1300676, -1951015, -2601354, -3251693? -3902032 What is the next term in 613840, 1227693, 1841546, 2455399, 3069252, 3683105? 4296958 What is the next term in -574561, -2298172, -5170857, -9192616, -14363449, -20683356, -28152337? -36770392 What comes next: -40015, -40095, -40175? -40255 What is next in 43603226, 87206457, 130809688? 174412919 What is the next term in -1344251, -1344218, -1344185? -1344152 What is the next term in 107618, 428466, 963214, 1711862, 2674410? 3850858 What comes next: -457, -617, -823, -1099, -1469? -1957 What is the next term in 116681, 116734, 116833, 116978, 117169, 117406, 117689? 118018 What is next in 956457, 1912929, 2869415, 3825921, 4782453, 5739017? 6695619 What is next in 4924853, 4924834, 4924815? 4924796 What is the next term in -7594, -7826, -8212, -8752, -9446? -10294 What comes next: 30504, 122517, 275912, 490689? 766848 What is the next term in 589819, 1179113, 1768407? 2357701 What is the next term in -11459200, -22918356, -34377512? -45836668 What is the next term in -83397, -333592, -750585, -1334376, -2084965, -3002352, -4086537? -5337520 What comes next: -189806, -189770, -189734, -189698, -189662, -189626? -189590 What comes next: 1632140, 3264275, 4896412, 6528551? 8160692 What is the next term in 4644, 9005, 13094, 16911, 20456? 23729 What is the next term in -181734, -182344, -182954, -183564? -184174 What is the next term in 58, 506, 1298, 2434, 3914? 5738 What is the next term in 793245, 793244, 793243? 793242 What is the next term in -38260, -38252, -38238, -38218, -38192, -38160? -38122 What comes next: 7815225, 7815247, 7815289, 7815363, 7815481, 7815655, 7815897? 7816219 What is next in 1224197, 1224184, 1224169, 1224158, 1224157, 1224172, 1224209? 1224274 What is next in -2327, -8824, -19551, -34424, -53359, -76272? -103079 What is next in 1576094296, 3152188592, 4728282888? 6304377184 What is the next term in -17431, -21344, -25257, -29170, -33083? -36996 What is next in -6361, -6258, -6071, -5788, -5397, -4886, -4243? -3456 What is next in 752468, 752435, 752398, 752357, 752312? 752263 What is next in 21390, 45004, 68618, 92232? 115846 What is the next term in -305455, -307200, -310109, -314182, -319419, -325820? -333385 What is next in -113160, -452771, -1018852, -1811397, -2830400? -4075855 What comes next: 156516, 313134, 469752, 626370? 782988 What is next in 172743, 172746, 172745, 172734, 172707, 172658? 172581 What comes next: -2270, -4767, -7294, -9863, -12486? -15175 What is the next term in 14532, 16571, 18610, 20649? 22688 What is the next term in -10937, -21806, -32671, -43532, -54389, -65242? -76091 What is next in -26859, -54420, -82691, -111666, -141339, -171704, -202755, -234486? -266891 What comes next: 3066, 6520, 9970, 13416? 16858 What is the next term in 7849, 15574, 23173, 30646, 37993, 45214, 52309? 59278 What is the next term in -1369, -1575, -1855, -2209, -2637? -3139 What comes next: -102491, -205039, -307587, -410135, -512683? -615231 What is the next term in 3714809, 14859235, 33433279, 59436941, 92870221, 133733119, 182025635? 237747769 What is the next term in -21730, -45044, -68358, -91672, -114986, -138300? -161614 What comes next: -9369, -10230, -11087, -11940? -12789 What is the next term in 15388080, 30776200, 46164334, 61552488, 76940668, 92328880, 107717130? 123105424 What is the next term in -44089, -44350, -44611, -44872? -45133 What is the next term in 1105114, 2210220, 3315326, 4420432, 5525538, 6630644? 7735750 What is the next term in -75641847, -75641849, -75641853, -75641859, -75641867, -75641877? -75641889 What comes next: 68, 1414, 3846, 7364, 11968, 17658? 24434 What is the next term in -23989, -24044, -24131, -24250, -24401? -24584 What comes next: 1873, 7707, 17489, 31225, 48921, 70583? 96217 What is next in -60396, -120733, -181070, -241407, -301744, -362081? -422418 What is next in -38761, -79086, -119395, -159682, -199941, -240166, -280351? -320490 What is the next term in -363, -705, -1093, -1545, -2079, -2713, -3465, -4353? -5395 What comes next: 701292, 1402276, 2103262, 2804250, 3505240, 4206232, 4907226? 5608222 What is next in 26, 95, 200, 329, 470, 611? 740 What comes next: 13102833, 13102842, 13102851, 13102860? 13102869 What comes next: 17078907, 34157823, 51236751, 68315697, 85394667, 102473667, 119552703, 136631781? 153710907 What is next in 63847, 255396, 574651, 1021612? 1596279 What is next in 26407143, 26407145, 26407147, 26407149, 26407151, 26407153? 26407155 What comes next: 513158761, 1026317525, 1539476289, 2052635053? 2565793817 What comes next: -1610, -6299, -14126, -25091, -39194, -56435? -76814 What is the next term in 44365716, 88731433, 133097150, 177462867? 221828584 What is the next term in -1510161, -1510298, -1510435, -1510572, -1510709, -1510846? -1510983 What is next in 70759, 142204, 213649, 285094, 356539? 427984 What comes next: 14139, 14073, 13993, 13923, 13887? 13909 What is next in -3809951, -3809958, -3809965, -3809972? -3809979 What is next in -400308, -400399, -400492, -400587, -400684, -400783? -400884 What comes next: 3097, 3621, 4495, 5719, 7293, 9217, 11491? 14115 What comes next: 550, 115, -2322, -7763, -17210? -31665 What is the next term in -1398846, -2797807, -4196768, -5595729? -6994690 What comes next: -49419, -98736, -148053, -197370? -246687 What comes next: 15112493, 30224946, 45337399, 60449852, 75562305? 90674758 What is the next term in 7121, 6787, 6397, 5951? 5449 What is the next term in -12669, -23444, -34219, -44994, -55769? -66544 W
{ "pile_set_name": "DM Mathematics" }
st one hundred? 900 Round 0.00047737 to five dps. 0.00048 What is -3817 rounded to the nearest 100? -3800 What is 1549.5 rounded to the nearest ten? 1550 What is 153740 rounded to the nearest 10000? 150000 Round -0.000000121 to 7 decimal places. -0.0000001 What is -0.0000129395 rounded to six decimal places? -0.000013 Round -0.000002882 to seven dps. -0.0000029 What is 361.56 rounded to the nearest ten? 360 Round -0.007617 to four decimal places. -0.0076 What is -0.993 rounded to one decimal place? -1 What is 1.4099 rounded to two dps? 1.41 Round 222.547 to 0 dps. 223 Round -0.00108106 to five dps. -0.00108 Round 2003 to the nearest 1000. 2000 What is 0.000024165 rounded to six decimal places? 0.000024 What is -87090 rounded to the nearest 10000? -90000 What is 0.0000003005 rounded to seven dps? 0.0000003 Round 1256.5 to the nearest 100. 1300 Round 567000 to the nearest ten thousand. 570000 What is 305 rounded to the nearest ten? 310 What is 0.1215 rounded to 3 dps? 0.122 What is 0.00347026 rounded to 4 dps? 0.0035 What is 0.009549 rounded to four decimal places? 0.0095 Round 88580000 to the nearest 1000000. 89000000 Round -0.0001268 to six decimal places. -0.000127 Round -0.0000012927 to 7 dps. -0.0000013 What is 2.8063 rounded to one dp? 2.8 Round 1405.65 to the nearest one hundred. 1400 Round -0.017383 to three dps. -0.017 Round 35.12 to the nearest integer. 35 What is 0.00002665 rounded to six decimal places? 0.000027 What is -58 rounded to the nearest one hundred? -100 Round 0.002945 to 3 decimal places. 0.003 Round 0.00031 to four decimal places. 0.0003 Round -0.26228 to two dps. -0.26 What is -10068 rounded to the nearest 1000? -10000 What is -84.4 rounded to the nearest 10? -80 Round 5731 to the nearest one thousand. 6000 What is 0.0000091 rounded to 5 dps? 0.00001 Round 0.9959 to 2 decimal places. 1 Round 0.0000138 to six decimal places. 0.000014 Round 479600 to the nearest ten thousand. 480000 What is -99.79 rounded to the nearest one hundred? -100 What is 0.00000040244 rounded to seven dps? 0.0000004 Round -8775.8 to the nearest one hundred. -8800 Round 0.0877 to 2 dps. 0.09 What is 0.0000004077 rounded to six dps? 0 What is 0.000006584 rounded to seven dps? 0.0000066 What is 0.0015661 rounded to 4 decimal places? 0.0016 What is 951.2 rounded to the nearest ten? 950 Round -186.14 to the nearest one hundred. -200 Round -31778000 to the nearest 1000000. -32000000 Round -0.000003188 to seven dps. -0.0000032 Round -0.000006018 to 6 dps. -0.000006 What is -0.001628 rounded to four decimal places? -0.0016 Round 3634000 to the nearest 100000. 3600000 Round 361080000 to the nearest 1000000. 361000000 Round -9.163 to zero decimal places. -9 What is 0.000096232 rounded to 5 decimal places? 0.0001 Round -0.20666 to 1 decimal place. -0.2 What is 0.002955 rounded to 4 dps? 0.003 What is 0.00000022466 rounded to 7 decimal places? 0.0000002 What is -0.00004958 rounded to six dps? -0.00005 Round 0.0006135 to five dps. 0.00061 What is 0.001059 rounded to five decimal places? 0.00106 Round -1.7603 to one dp. -1.8 What is 10406000 rounded to the nearest 100000? 10400000 Round -5536 to the nearest one hundred. -5500 What is 16.003 rounded to the nearest integer? 16 Round -0.00000037 to 7 decimal places. -0.0000004 Round 234.47 to 0 dps. 234 Round -0.00000839 to six decimal places. -0.000008 Round 6920 to the nearest 1000. 7000 What is -0.1462 rounded to two dps? -0.15 What is -53853000 rounded to the nearest 100000? -53900000 What is -0.00027708 rounded to five decimal places? -0.00028 What is -0.02887 rounded to 3 dps? -0.029 Round -0.00019096 to 5 decimal places. -0.00019 Round 0.000041381 to seven decimal places. 0.0000414 Round 462.18 to the nearest integer. 462 Round 69220000 to the nearest one million. 69000000 Round 0.008999 to three dps. 0.009 What is 0.010077 rounded to three dps? 0.01 Round 1376 to the nearest ten. 1380 What is -2368000 rounded to the nearest one hundred thousand? -2400000 What is 11520 rounded to the nearest 1000? 12000 What is 0.0059483 rounded to 4 decimal places? 0.0059 Round 112.7 to 0 dps. 113 What is 0.9137 rounded to two decimal places? 0.91 Round 0.00067489 to 4 dps. 0.0007 Round 1096700 to the nearest 100000. 1100000 What is 307400 rounded to the nearest one hundred thousand? 300000 Round 3952000 to the nearest 1000000. 4000000 What is 0.06745 rounded to 3 dps? 0.067 Round -11464000 to the nearest one million. -11000000 What is -0.00057954 rounded to 4 decimal places? -0.0006 Round -0.0566 to 2 dps. -0.06 Round 163.8 to the nearest 10. 160 What is 266.6 rounded to the nearest 100? 300 What is -2.453 rounded to one decimal place? -2.5 Round -4450000 to the nearest one million. -4000000 Round -0.538504 to one dp. -0.5 What is 0.12495 rounded to 2 decimal places? 0.12 What is 22948000 rounded to the nearest 100000? 22900000 What is 0.0003713 rounded to five decimal places? 0.00037 Round -3247650 to the nearest 10000. -3250000 Round -335.41 to 0 dps. -335 Round 0.00015458 to six decimal places. 0.000155 What is -0.0039353 rounded to 5 dps? -0.00394 What is 0.000000158 rounded to seven dps? 0.0000002 What is 0.0011235 rounded to 4 decimal places? 0.0011 What is 5.3681 rounded to two dps? 5.37 What is -225250 rounded to the nearest 1000? -225000 What is 233870 rounded to the nearest ten thousand? 230000 Round 4.194 to 1 dp. 4.2 What is -1534300 rounded to the nearest 10000? -1530000 What is 3.1031 rounded to 1 decimal place? 3.1 Round 0.00339 to 2 dps. 0 What is 0.1489 rounded to 2 decimal places? 0.15 Round -0.000035341 to 7 dps. -0.0000353 What is 0.002768 rounded to four dps? 0.0028 What is -5388400 rounded to the nearest one million? -5000000 Round 30.19 to zero dps. 30 Round 84732 to the nearest 10000. 80000 Round 0.03336 to 2 dps. 0.03 What is -0.00000025752 rounded to seven decimal places? -0.0000003 Round -0.000853 to four decimal places. -0.0009 What is -2375 rounded to the nearest 1000? -2000 What is -0.008499 rounded to 3 decimal places? -0.008 Round 79.44 to zero decimal places. 79 What is 11.152 rounded to 0 decimal places? 11 What is 0.000019664 rounded to five decimal places? 0.00002 Round 60400 to the nearest 10000. 60000 Round 228.22 to the nearest ten. 230 Round 0.000023889 to 6 dps. 0.000024 What is 27600 rounded to the nearest 10000? 30000 Round -124.68 to the nearest ten. -120 Round -0.00028212 to four decimal places. -0.0003 Round 612.2 to the nearest ten. 610 What is 237394000 rounded to the nearest one million? 237000000 What is -29260 rounded to the nearest 10000? -30000 What is 60580 rounded to the nearest one thousand? 61000 What is 3699000 rounded to the nearest one million? 4000000 What is 2.482 rounded to 1 decimal place? 2.5 Round 0.0000783 to 5 dps. 0.00008 What is 4457080 rounded to the nearest 1000000? 4000000 What is -4278000 rounded to the nearest 1000000? -4000000 Round 643.32 to the nearest 10. 640 Round -0.0000971 to 5 decimal places. -0.0001 What is 0.012345 rounded to three decimal places? 0.012 What is 0.00001646 rounded to 6 decimal places? 0.000016 What is -8055 rounded to the nearest one thousand? -8000 Round 196700 to the nearest 100000. 200000 Round 2.313 to 0 dps. 2 Round -0.0422 to three decimal places. -0.042 What is 0.000007782 rounded to seven dps? 0.0000078 Round 5185000 to the nearest 100000. 5200000 Round -958000 to the nearest one hundred thousand. -1000000 What is -184070000 rounded to the nearest 1000000? -184000000 Round 10650000 to the nearest one million. 11000000 What is 62.54 rounded to the nearest integer? 63 What is -28300 rounded to the nearest ten thousand? -30000 Round -1419000 to the nearest one hundred thousand. -1400000 Round 1.496 to one decimal place. 1.5 Round -0.0000016 to seven decimal places. -0.0000016 What is -3.37 rounded to 0 decimal places? -3 Round -22990 to the nearest one thousand. -23000 What is 0.04166 rounded to 3 decimal places? 0.042 What is -1377.1 rounded to the nearest one hundred? -1400 What is 0.2638 rounded to two dps? 0.26 What is 1113400 rounded to the nearest 100000? 1100000 Round 2028.54 to the nearest 1000. 2000 Round 805700 to the nearest 10000. 810000 Round 858610 to the nearest 10000. 860000 What is 75.22 rounded t
{ "pile_set_name": "DM Mathematics" }
e -x*d + 4*l + 16 = 0, 0 = -5*d + 3*l + 29 - 11. Solve d*q + 4 = -11 for q. -5 Suppose -18*a - 14*a - 7 + 39 = 0. Let h(q) = -q**3 - 5*q**2 - 5. Let w be h(-5). Let r be ((-4)/(-10))/(a*(-1)/w). Solve -z = -1 - r for z. 3 Suppose -3*z - 66 = 4*c, 2*z - 4*z = 3*c + 50. Let y be (-4)/2*c/12. Suppose x + 3*n = -0*n + 21, -3 = -3*x + y*n. Solve -3*o + x*o - 12 = 0 for o. 4 Let x be 24/((-6)/2)*22/(-8). Suppose -x = q - 3*f, -3*q = 2*q - 2*f + 84. Let i = q + 19. Solve -i*y + 8*y = -25 for y. -5 Let j = 1261 - 1909. Let v = j + 648. Solve 0*r - 3*r - 3 = v for r. -1 Let z = -12461 + 12505. Solve -z*d = -52*d + 8 for d. 1 Let k be (-84)/(-36)*27/63. Solve 9*s + 8 + k = 0 for s. -1 Let r be (-18)/(-5)*(-10)/(-3). Suppose f - r = -3*f. Suppose 8598*i - 8607*i + 15 = -a, 2*a - 3*i = 0. Solve 0 = -f*y + 4*y - a for y. 3 Let x(h) = -h**3 + h**2 - 3*h + 58. Let c be x(0). Let a = -58 + c. Suppose -3*k + 51 = 4*b, 0 = 2*b - a*k - k - 13. Solve -u = -4*u - b for u. -3 Let m be 2/9 + 6320/720 + -7. Suppose 0 = -3*p - 3, -6*s + s - 4*p + 11 = 0. Suppose -s*v + 32 = v. Solve -v - 2 = m*l for l. -5 Let m = -6 + 11. Let b be (2/(-2))/1 + 16 + 70. Let x = -79 + b. Solve t + m = x*t for t. 1 Suppose -4*w + 9*w = 35*w - 23760. Solve 0 = -8*n + 800 - w for n. 1 Suppose 2*z - 4*z = 3*f - 5, 3*f - 35 = 4*z. Suppose -f*h + h = 0. Let d be (-12)/(-9)*(h + 3). Solve -8 - 8 = d*l for l. -4 Let y be (-174)/(-144)*4 - 2/(-12). Suppose -2*p + 3*h + 21 = 0, -4*h = -y*p - 2*h + 25. Solve -r = -p*r for r. 0 Let t = -362 + 358. Let m(f) = -50*f - 150. Let u be m(t). Solve -2*z = -u + 52 for z. -1 Suppose -455*y + 461*y = 0. Suppose 7*g - 59 + 31 = y. Solve 0 = g*o + 11 + 1 for o. -3 Suppose -3*w + 2*w + 4*l + 185 = 0, 5*w = -4*l + 973. Let r = w - 183. Solve -1 + r = -3*n for n. -3 Let g be (1 - -2)*41/(-3). Let x be ((-82)/4)/((-12)/(-24)). Let u = g - x. Solve -i + 3 + 2 = u for i. 5 Let n = -123 - -127. Let g(i) = i**3 + 15*i**2 + 15*i + 18. Let c be g(-14). Suppose 0 = -c*j - 2*r + n, -3*r = 4*j. Solve 0 = -t + 4 - j for t. 1 Suppose 0 = 3*s + d - 92, 2*s = 2*d - 4*d + 60. Let o = s + -15. Suppose -5*c + 5*h + 81 = o, -3*h - 7 = -c. Solve -c = -5*y + 9 for y. 5 Suppose 4*j - 5*s + 712 = -0*s, -s = -3*j - 534. Let k = -176 - j. Solve -k*q = -5*q - 15 for q. -5 Suppose 3*m + 3*b - 17 = 49, 5*b + 97 = 4*m. Suppose -3*l - 5 = 2*s, 5*s + 8 = -2*l + 1. Let d be 12 + (-11 - -3) + s. Solve d = -4*g + m for g. 5 Let u = 195 - 191. Let j(r) = r + 11. Let o be j(u). Solve -o = -2*m - m for m. 5 Let v(l) = 4*l + 60. Suppose -24*k + 15 = -27*k. Let o(f) = f - 6. Let y be o(k). Let g be v(y). Solve -6 = -2*d - g for d. -5 Suppose 3*v = 6*v + 78. Let x(h) = 9*h**2 - 15*h + 37. Let i(q) = -50*q**2 + 70*q - 186. Let b(w) = 2*i(w) + 11*x(w). Let c be b(v). Solve -3*s = c - 0 for s. -3 Let g = 127 - 115. Suppose g*k - 25 = 47. Let u be 2/k*3*(-24)/(-3). Solve -3*z + z = -u for z. 4 Suppose -2*n = -7*n, 0 = x + 4*n + 35. Let q be (-100)/x - (-30)/(-35). Solve 0 = -q*c - 15 + 11 for c. -2 Suppose -128*w + 132*w = -h + 3243, 2432 = 3*w + h. Solve -4*s - 787 = -w for s. 6 Suppose 3*f - 5*p = 7*f + 393, -p = 5*f + 486. Let a(h) = 5*h**3 - 3*h**2 - 4*h + 1. Let u be a(3). Let y = u + f. Solve y = q + 5 for q. -5 Let n be ((-44)/14 - -2)/(207/(-1449)). Solve n = -12*l + 8*l for l. -2 Let m = -7795 + 7843. Solve 46*v + 14 = m*v for v. 7 Let c be 27/6*((-10)/3 + 4). Let v = -13 - -47. Suppose 8 = -l - 4*q, 0 = 2*l - q - q - v. Solve c*m + m = -l for m. -3 Let c(l) be the second derivative of -l**5/20 - 3*l**4/2 + 17*l**3/6 - l**2 - 15*l. Let s be c(-19). Let q = 45 - s. Solve -q = 5*d + 1 for d. -2 Suppose m = 4*b - 29, -3*b + 4*m = 2*m - 28. Suppose -b*k + 4*k + 36 = 0. Let t = 6 - 3. Solve t*v = -k + 6 for v. -4 Let c(v) = -5*v**2 + 4*v + 3. Let m(r) = r**2 + 2*r + 1. Let t(h) = c(h) + 4*m(h). Let x be t(12). Solve -18 = g - x*g for g. 3 Let l(o) = -o**3 + 3*o**2 + 3*o - 7. Let z be (24/(-16))/(1/(-2)). Let c be l(z). Let w be (12/8)/(6/32). Solve 2*a + w = -c*a for a. -2 Let w be 42/(-28)*12/(-9). Let y be 6/10 + 10*185/250. Let i = 1 - -2. Solve -i*a - y = -w for a. -2 Let q be (-300)/240*(-12)/5*(-5)/(-3). Solve q = 1014*d - 1013*d for d. 5 Suppose 3*o = 5*f - 52, -3*o + 6*f - 37 = 4*f. Let x(l) = 2*l**2 + 20*l + 18. Let a be x(o). Let d be (-1 + a)*1 + 4. Solve 2 = -d*m + 14 for m. 4 Let d(y) be the third derivative of 0*y - 34*y**2 + 17/2*y**3 + 1/60*y**5 + 5/6*y**4 + 0. Let s be d(-17). Solve 2*h - 5*h - 15 = s for h. -5 Let y be 2*(-3 + (-15)/(-3)). Let d be 1/8 - 28/(-32) - -3. Let s be (-4)/((-5)/(45/12)). Solve s*j = y*j + d for j. -4 Suppose 0 = 9*k + 3 + 6. Let d be 1*k*(-18 + 15). Solve 14 = -d*a + 17 for a. 1 Let x = -72 + 72. Suppose 3*y - 3*a = x, -5*y + 4*a + 3 - 6 = 0. Let m be ((-4)/(8/y))/(4/24). Solve 5*i - m*i = 20 for i. -5 Let q(x) = 2*x**3 + 22*x**2 - 4*x + 18. Let j be q(0). Solve j*w + 25*w - 172 = 0 for w. 4 Let f be 5 - ((-338)/16 + (-6)/288*-6). Solve -2*x + 24 = -f*x for x. -1 Let x(r) = 12*r + 16. Let d(a) = -4*a - 17. Let o(m) = 6*d(m) + 4*x(m). Let k be o(2). Solve k*n = 1 - 11 for n. -1 Suppose 0 = -x + 5*x. Let m(v) = 536*v - 551*v + 9 - 7*v**2 + 49 + v**3. Let j be m(8). Solve -j*w - 1 + 3 = x for w. 1 Let g = 75 - 72. Suppose -f + 15 = -0*f + g*x, -41 = -3*f - 5*x. Solve f*q = 15*q + 12 for q. -4 Let o(l) = -71 + 32 - 73 + 6*l + 0*l. Let s be o(22). Suppose 4*c = 2*c - 2*p + 10, p = 1. Solve -g - c*g = -s for g. 4 Suppose 66*t = -10*t + 9*t. Solve 14*p - 52 - 46 = t for p. 7 Let f be ((-6)/(-35))/(1/10)*5544/528. Solve 0 = f*s - 10*s + 16 for s. -2 Let r(m) = 86*m - 434. Let s be r(6). Solve -17*a = 24*a + s for a. -2 Suppose -2*u = -37 + 3. Suppose 3 + u = -4*r. Let g be r/((-25)/(-4))*(-10)/4. Solve -g + 5 = -3*i for i. -1 Let m be -3 - (4/(-1) + 1). Suppose -5*x + 3*t - 2 = m, -3*x + 1 = -t - 1. Solve -x*l = -7*l for l. 0 Let s = -852 - -854. Suppose -2*q - 2 = 18. Let f = -2 - q. Solve 2 = s*g - f for g. 5 Let g = 410 + -236. Let l = g - 159. Solve 4*i + 3 = l for i. 3 Suppose -x = -3 - 10. Let s(p) = 2*p - 22. Let c be s(x). Suppose 0*j = 4*j - c*q, 15 = 4*j + q. Solve w - j*w = 4 for w. -2 Suppose -3*r = -2*w + 2, 2*w + 66*r - 61*r - 18 = 0. Let t = -2 + 2. Solve -d - w*d - 20 = t for d. -4 Suppose -3*t = -5*r - 14, 3*t - 3*r + 3 - 21 = 0. Let n be (-4)/((-12)/33) - t. Solve -n*h - 5 = -2*h for h. -5 Let k(x) = 143*x + 1006. Let m be k(-7). Suppose -2 = 3*b - 4*b. Suppose b*z + 0 = 4. Solve l - m = z*l for l. -5 Let p be 12/(-16) - (-2 - (-155)/(-20)). Suppose -8*w + p*w - 9 = -g, -3*w = -4*g + 29. Solve -g = 2*q + 2 for q. -5 Suppose 0 = 4*u - 8, -5*t - 3*u - 80 = 39. Let h = -12 - t. Suppose -h = 2*z - 29. Solve -c = c + z for c. -4 Suppose -r - 13 = -5*g + 5, 2*r = 3*g - 15. Let n be -5*(1 + 2) - r. Let x be 4 - (1/(-5) - n/(-15)). Solve -x*t + 14 + 6 = 0 for t. 4 Suppose -26 = 3*g - h - 72, 0 = 5*g - 2*h - 75. Suppose g*f + 27 - 10 = 0. Let t = 9 + f. Solve -3*n = -t*n - 15 for n. -3 Suppose 995 = 8*g + 35. Let o = -48 + g. Let v = -68 + o. Solve 2*y - y = -v for y. -4 Suppose 0 = -4*l + 3*l - 5*a + 130, 0 = 2*l + 2*a - 228. Let p = 116 - l. Solve -p*k - 6 = -0*k for k. -1 Let r(d) = -d**3 - 27*d**2 - 3*d + 15. Let c be r(-27). Solve 0 = 895*u - 883*u + c for u. -8 Let t = -215 - -215. Suppose -2*b = -16 + 10, t = -x + 3*b - 5. Solve -5*a = -a - x for a. 1 Suppose 66*r = 1458 + 1842. Solve r = -3*p + 13*p for p. 5 Suppose 0 = 4*q - 2*o - 1 + 21, 0 = 4*q - 4*o + 24. Let y be (q/12)/(17/(-153)). Solve 3*r = -y*r - 18 for r. -3 Let o(s) = -2*s**3 + 8. Suppose -11 = 5*x + 19. Let p be o(x). Let w be (-4)/10 + p/100. Solve w = -c + 1 for c. -3 Suppose 0 = -5*d + 20, 4*z - d - 4 = 3*d. Suppose -z*p + 10 = 30. Let u be 5 + p - (-9 - -4). Solve -3*a + u = -a for a. 3 Let y(z) = -7*z + 242. Let c be y(33). Suppose c*l = -79 + 673. Solve -4*i + 46 = l for i. -2 Suppose -5*v - 117 = 183. Let o = -55 - v. Solve -o*n - 25 = -0 for n. -5 Let z(n) = n**2 - 4*n + 4. Let h be -17 + 16 - (-3 + 0). Suppose 4*w = 3*g - 1, w - h*w = -3*g + 7. Let x be z(g). Solve -6*f = -7*f - x for f. -1 Let s(g) = -14*g**2 - 3*g + 7. Let l(f) = 8 - 2 - 5*f**2 - 4 - f. Let m(z) = 11*l(z) - 4*s(z). Let q be m(-5). Solve -5*o - q - 6 = 0 for o. -4 Suppose -18 = 7*i + 38. Let p be (i/(-3
{ "pile_set_name": "DM Mathematics" }
= -4*k + 2859. What is the remainder when k is divided by 179? 172 Suppose -18 = -6*i - 0*i. Let u = -1 + 17. Calculate the remainder when (-5)/(-10)*(i + -1 + 120) is divided by u. 13 What is the remainder when (50/40)/(31/620) is divided by 3? 1 Suppose -8*g + 5*g = -528. Let b = -127 + g. What is the remainder when 243 is divided by b? 47 Suppose 130 = 4*s + 22*j - 21*j, 0 = -2*s - j + 64. What is the remainder when 2241 is divided by s? 30 Let s(t) = 3*t**3 - 8*t**2 - 124*t - 7. What is the remainder when s(9) is divided by 97? 28 Let a be (-59 + 7)/13*(-38)/8. Suppose 0 = -2*w - s + a, 4*w + 4*s = s + 35. Let l(y) = 2*y**2 - 2*y + 4. What is the remainder when l(-3) is divided by w? 6 Suppose -i - 5*q = -5*i + 7, i + 2 = 5*q. Suppose -i*a + 475 = -173. Suppose 8*o = 5*o + a. What is the remainder when o is divided by 26? 20 Let b(c) = -2*c**3 + 21*c**2 + 8*c + 32. What is the remainder when b(9) is divided by 111? 14 Let f = 4359 + -4185. Suppose 3*n + 2*n = 0. Suppose n = 5*y - f - 136. What is the remainder when y is divided by 7? 6 Let r(m) = -m**3 - 6*m**2 - 2*m + 4. Let j(s) = 13*s + 105. Let d be j(-8). What is the remainder when r(-6) is divided by (22 + -23)/(d*(-3)/33)? 5 Suppose 3*d - 38 = -c, 0 = 5*c + 5*d - 61 - 89. Suppose 4*j = 11*j - 133. Suppose -j*t - 20 = -24*t. What is the remainder when c is divided by t? 2 Let n = 1619 - 1436. What is the remainder when n is divided by 63? 57 Let d(g) = -71*g**2 - 627*g - 1. Calculate the remainder when d(-8) is divided by 59. 58 Let w(a) = 3*a**2 - 42*a - 24. Let p(s) = -s**2 + 22*s + 12. Let q(r) = -5*p(r) - 2*w(r). Calculate the remainder when q(-8) is divided by 45. 42 What is the remainder when (-84)/(420/15) - (3/3 + -232) is divided by 50? 28 Suppose -3*h + 307 = -2*k, 4*h - 14*k + 19*k - 440 = 0. What is the remainder when 336 is divided by h? 21 Let b(m) = -170*m - 1798. What is the remainder when 743 is divided by b(-11)? 23 Suppose 5*u = 4*j + 794, 0 = 3*u + 3*j - 411 - 87. Suppose q = -3*b + u + 25, -4*q + 55 = b. Calculate the remainder when b is divided by -40*(-3 - 13/(-5)). 15 Let r = 460 - 361. Calculate the remainder when r is divided by 56. 43 Let f(y) = y**2 + 3*y - 84. Let i be f(12). Let h = 190 - i. Calculate the remainder when h is divided by 32. 30 Suppose 0 = 3*n - 7*g + 9*g - 13, 3*g = 3*n + 12. What is the remainder when 2 is divided by n/(15/22 - 8/44)? 0 Let v(i) = -99*i - 104. What is the remainder when v(-2) is divided by 2? 0 Let q = 102 + -98. Suppose 15*g = q*g + 770. Suppose 2 = -2*m + 5*w + 6, -5*m = w - 64. Calculate the remainder when g is divided by m. 10 Let b(g) = 234*g + 336. Calculate the remainder when 8770 is divided by b(-1). 100 Let q be (-6948)/(-8) + -6 - 2/4. Let t = -850 + q. What is the remainder when t is divided by 7? 5 Suppose -2*r - 501 = -3*h, 2*h - 42*r + 41*r - 334 = 0. What is the remainder when 507 is divided by h? 6 Suppose 1052*h - 16 = 1053*h. Let u(n) = -n**2 - 29*n - 163. Calculate the remainder when 131 is divided by u(h). 41 Suppose -8*n + 3*n = -15. What is the remainder when (-1152)/(-336)*14/n is divided by (-1 + 2)*(1 + 8)? 7 Let p = -462 + 501. Let f = 286 + -135. What is the remainder when f is divided by p? 34 Suppose -24388 + 26594 = 154*f - 95430. Calculate the remainder when f is divided by 55. 29 Suppose -895*p - 2*n - 1883 = -898*p, 3*n + 3138 = 5*p. What is the remainder when 1882 is divided by p? 1 Let r = 755 - 335. Let a = -256 + r. What is the remainder when a is divided by 33? 32 What is the remainder when 227 + 0 + (9/12 - (-48)/192) is divided by 89? 50 What is the remainder when ((-87)/5)/(0 - (-18)/(-90)) is divided by 32? 23 Let v = 56 - 54. Suppose -v*y = 2*n - 88, n - y + 7 = 53. Suppose 0 = 3*g, -g + n = 3*l + 4*g. What is the remainder when 58 is divided by l? 13 Suppose -2*i = -10 - 26. What is the remainder when ((-1610)/207)/(12/(-54)) is divided by i? 17 Let d(y) = 2*y**2 + 44*y - 650. What is the remainder when 619 is divided by d(-34)? 121 Suppose -29 + 4 = 5*o. Suppose 6*j - j = -2*b + 167, -5*b + 50 = 2*j. Calculate the remainder when (278/o)/((-15)/(-25) + -1) is divided by j. 34 Suppose -7510 = -35*g + 9570. What is the remainder when 1466 is divided by g? 2 Calculate the remainder when 42/(-70) - 11291/(-35) is divided by 37. 26 Let d be (-1)/2 - (0 + 15/(-6)). Suppose 2 = -b + n, -d*b + n - 5 + 2 = 0. Let w = 46 + b. What is the remainder when w is divided by 12? 9 Let v = -141893 - -141902. Calculate the remainder when (1*39 - -1) + 1 is divided by v. 5 Let b = 2192 - 1953. Calculate the remainder when b is divided by 66. 41 Suppose 11553 = 89*p - 7404 - 1068. Calculate the remainder when 475 is divided by p. 25 Let r(g) = 4*g - 5. Suppose -4 = 4*q + 4*l, 19*l + 12 = 16*l. Calculate the remainder when r(7) is divided by q. 2 Let q = 57259 + -57235. Let v(w) = 9*w**2 + 3*w - 1. Let b be (0 + -1)*2*-1. Calculate the remainder when v(b) is divided by q. 17 Let o be 7/(1*(7/(-2) + 3)). Let t(c) = c**3 + 12*c**2 - 28*c - 4. Let s be t(o). What is the remainder when 130 is divided by s/(-2) + 378/9? 42 Let j(w) = 50*w + 967. Calculate the remainder when j(-3) is divided by 45. 7 Suppose -4*w + 2050 = 6*w. Calculate the remainder when 433 is divided by w. 23 Let z(x) = x**3 - 13*x**2 - 13*x - 12. Let p be z(14). Calculate the remainder when (-3614)/(-65) - (-3)/(-5) is divided by 29/p + (-4)/8. 13 Suppose 1581 = 2*p + 389*l - 390*l, -12 = 4*l. What is the remainder when p is divided by 214? 147 Let r(v) be the third derivative of -v**6/60 - v**5/30 - v**4/8 - 7*v**3/3 - 34*v**2 - 3. What is the remainder when r(-3) is divided by 11? 9 Suppose 0 = -239*j + 237*j + 8. Suppose 2*a - o - 19 = 20, -20 = -j*o. What is the remainder when 85 is divided by a? 19 Let l = 99 + -10. Let c(j) = j**3 - 56*j**2 + j - 43. Calculate the remainder when l is divided by c(56). 11 Let i(d) = 64*d**2 + 88*d + 2. What is the remainder when i(-2) is divided by 38? 6 Let m(a) be the first derivative of 2*a**3/3 + 17*a**2/2 + 43*a + 93. Calculate the remainder when 135 is divided by m(-8). 30 Suppose -2*i - 3*h = 21, h - 26 = 5*i + 1. Calculate the remainder when i/(-4)*(-6656)/(-39) is divided by 87. 82 Let a = 6098 - 5259. Calculate the remainder when a is divided by 121. 113 Let b(h) = 7 + h - 2 + 2. Suppose 3*s - 14 + 1 = j, -j + 5*s = 19. What is the remainder when 18 is divided by b(j)? 0 Suppose -93*w = 4*f - 91*w - 3366, -3*w + 1693 = 2*f. What is the remainder when f is divided by 106? 97 Let w be ((-51)/(-85))/((-9)/(-60)). Calculate the remainder when 115 is divided by (5320/(-52))/(-2) + w/(-26). 13 Let b = -85 - -348. Let o = 468 - b. What is the remainder when o is divided by 35? 30 Suppose 0*x + 3*x + 5*w - 63 = 0, 0 = 4*x + 5*w - 79. What is the remainder when 182/(-273)*-2*(13 - -2) is divided by x? 4 Suppose 1907 + 4893 = 20*a. Let y = 377 - a. Calculate the remainder when 332 is divided by y. 36 Let u(z) be the third derivative of z**4/24 + 23*z**3/3 + 3*z**2 - 30*z. Calculate the remainder when 80 is divided by u(-17). 22 Suppose -2*z + 6 + 16 = 0. Suppose 150*u + 80*u = 46 + 1334. Calculate the remainder when z is divided by u. 5 What is the remainder when (264/352)/((-6)/(-59416)) is divided by 23? 21 Let p(d) = 7*d**2 - 50. Let r(m) = -2*m**2 - 2. Let l(w) = -p(w) - 3*r(w). What is the remainder when 105 is divided by l(-5)? 12 Let m = -11310 - -11317. Suppose 0*v + 4*v - 140 = -5*r, 0 = 4*r - 16. Calculate the remainder when v is divided by m. 2 Suppose 5*t - 3321 = -3211. Calculate the remainder when 272 is divided by t. 8 Suppose -7*a - 214 = -228. Suppose -5*b = 3*p - 59, 5*b - a = 2*p + 42. Calculate the remainder when 23 is divided by b. 3 Let n(v) = 28*v + 30. Let d be n(-1). Suppose 4*x + a = -2*a + 442, d*a = 3*x - 340. What is the remainder when x is divided by 58? 54 Suppose -34*t = -39*t + 6450. Suppose -7*f + 1111 + t = 0. What is the remainder when f is divided by 87? 82 Let g(u) = -4*u - 16 + 33 - 12 - u. Let f be g(-6). Suppose 39*n = f*n + 28. What is the remainder when 20 is divided by n? 6 Let o = -5179 - -5421. What is the remainder when o is divided by 4? 2 Let k(p) = -p**2 + 91*p - 255. What is the remainder when 1541 is divided by k(88)? 2 Let p = -1022 + 204
{ "pile_set_name": "DM Mathematics" }
30*f**2. Find the first derivative of t(h) wrt h. -84*h**3 Let d = 3 + -4. Let j(q) = -5*q**3 + 3*q**2 - 1. Let i(f) = 1. Let h(p) = d*i(p) - j(p). What is the third derivative of h(n) wrt n? 30 Let g(y) = 11*y**5 + 5*y**4 + 5*y**3 + 2*y. Let n(u) = -u**5 - u**4 - u**3 + u. Let w(d) = -g(d) - 5*n(d). Find the second derivative of w(j) wrt j. -120*j**3 Suppose -5*u = -2*u - 6. Let s be 3 - (1 + 0)*1. Find the second derivative of 2*x**2 + 4*x**s + 2*x - 6*x**2 - u*x**3 wrt x. -12*x Let b be (-6)/(-2) - (1 - 4). What is the second derivative of -4 - 3*t**2 + 5*t + b*t**2 + 4 wrt t? 6 Let b(a) be the second derivative of -a**4/12 - 19*a**2/2 + 24*a. What is the first derivative of b(r) wrt r? -2*r Let i be 161/49 - 4/14. What is the first derivative of 4*w - i - 2*w + 1 - 1 wrt w? 2 Let m be (-4)/10*(-10)/4. Let w be (1 + -1 - -2)/m. Find the third derivative of -p**5 + 3*p**2 + 2 - w wrt p. -60*p**2 Let d(j) = j**2 + 9*j - 20. Let a be d(-11). What is the second derivative of 2*h - 13 + 10*h**5 - a*h**5 + 13 wrt h? 160*h**3 Let d(i) = i**3 - i**2 + i. Let k(m) = -6*m**4 + 4*m**3 - m**2 + 36*m + 1. Let n(z) = 4*d(z) - k(z). Find the second derivative of n(b) wrt b. 72*b**2 - 6 Let u(l) = l**3 - l**2 + l. Let t(j) = -21*j**5 + 2*j**3 - 28*j**2 + 2*j. Let q(s) = -t(s) + 2*u(s). Find the third derivative of q(r) wrt r. 1260*r**2 Let d(h) be the second derivative of 11*h**8/56 + h**4 - 18*h. What is the third derivative of d(v) wrt v? 1320*v**3 Suppose 2*o = 4 + 6. What is the second derivative of 41*q - 1 + o*q**2 - 46*q + 1 wrt q? 10 Let m(w) = -2*w**2 - 2*w - 4. Let h(u) = -u**4 - u**2 - u + 1. Let x(v) = -2*h(v) + m(v). Find the first derivative of x(p) wrt p. 8*p**3 Let m be 38/3 + (-2)/3. Suppose 6*p - 3*p - m = 0. What is the derivative of -c**2 + 25*c**p + c**2 - 1 - 22*c**4 wrt c? 12*c**3 What is the second derivative of 0*j - 2*j**2 - 7*j**2 + 4*j + 3*j**2 wrt j? -12 Suppose -4*a = l + 3 - 1, 2*l - 10 = -a. Let n(g) = g - 4. Let i be n(l). Find the first derivative of -7 - i*h**2 + 3 + 0 wrt h. -4*h Let v(m) be the second derivative of -m**5/2 - 5*m**4/12 + m. What is the third derivative of v(j) wrt j? -60 Let q = 25/2 - 12. Let w(l) be the first derivative of q*l**4 + 0*l - 1 + 2/3*l**3 + 0*l**2. What is the third derivative of w(c) wrt c? 12 Let h be (-176)/(-112) - 6/(-14). Find the third derivative of 47*j**h - 44*j**2 + 3*j**4 + 7*j**4 wrt j. 240*j Let c(a) be the first derivative of a**3 - 6*a**2 - 10. Find the second derivative of c(i) wrt i. 6 Let z = -61 + 61. Let t(k) be the first derivative of 0*k**2 + 0*k + k**3 - 3 + z*k**4 + 1/5*k**5. Find the third derivative of t(u) wrt u. 24*u Let z(a) be the first derivative of -1 + 0*a**4 + 0*a**3 - 2*a + 0*a**2 - 2/5*a**5. What is the derivative of z(p) wrt p? -8*p**3 Let f(y) be the first derivative of y**5 - 9*y - 7. What is the derivative of f(c) wrt c? 20*c**3 Let j(p) be the first derivative of 13*p**3/3 + 24*p + 49. Find the first derivative of j(s) wrt s. 26*s Let g be 8/3*(-3)/(-4). Find the third derivative of 4*u**2 - 2*u**3 + 2*u**6 + g*u**3 + 0*u**6 wrt u. 240*u**3 Suppose -2*p = 2*p - 28. Let q(y) = 3*y**2 - 4. Let f(d) = d**2 - 2. Let o(z) = p*f(z) - 4*q(z). What is the derivative of o(c) wrt c? -10*c Let i(q) be the third derivative of 1/20*q**5 + 0 + 0*q**3 - 3*q**2 + 0*q - 1/8*q**4. Find the second derivative of i(z) wrt z. 6 Let f(s) be the third derivative of 0*s**3 + 0*s**5 - 1/12*s**6 + 6*s**2 + 0*s + 1/24*s**4 + 0. Find the second derivative of f(i) wrt i. -60*i Suppose 15 = i + 4*i. Suppose -2*v + 5 = i*t, -v - 5*t + 3 = v. What is the third derivative of 3*l**2 + 5*l**3 + 0*l**3 - v*l**2 - 4*l**2 wrt l? 30 Let d(u) = -27*u**2 + 6*u - 16. Let h(j) = -j + 1. Let i(a) = d(a) + 6*h(a). What is the first derivative of i(r) wrt r? -54*r Suppose 0 = 2*k - 2 - 8. Let s be (-12)/(-9)*(-3)/(-2). Find the third derivative of k*b**2 + 0*b**s - b**4 - 3*b**2 wrt b. -24*b Suppose 5*c - 3*c - 4 = 0. Suppose 0*g - g = r - 4, 3*g - 5*r - 4 = 0. Differentiate -1 + g - c*p**4 + 0 + 5*p**4 wrt p. 12*p**3 Let l be (-6)/3*(-9)/6. Differentiate 6*r**l + 0*r**3 - 3*r**3 - 3 with respect to r. 9*r**2 Let i(o) = 3*o**3 - 17*o. Let s(x) = -x**3 + 8*x. Let t be 2 + 3/3 + -6. Let a(j) = t*i(j) - 7*s(j). Find the second derivative of a(r) wrt r. -12*r Let b(m) = -33*m - 37. Let j(a) = -2*a. Let z(r) = b(r) + 2*j(r). What is the derivative of z(c) wrt c? -37 Let t = -3 + -1. Let r be t/(-14) + (-6)/21. What is the third derivative of -4*q**4 + 2*q**4 + r*q**2 + 4*q**2 + 3*q**4 wrt q? 24*q Let b(p) = -p + 6. Let v be b(4). What is the third derivative of 2*g**2 - 8*g**3 - 5*g**v + 6*g**2 wrt g? -48 Let l(n) be the third derivative of n**5/20 - n**3/3 + 5*n**2. Differentiate l(f) with respect to f. 6*f Let t(d) be the third derivative of -11*d**6/120 - 4*d**4/3 + 18*d**2. Find the second derivative of t(y) wrt y. -66*y Let f(t) be the third derivative of -5/336*t**8 + 1/20*t**5 + 0*t**4 + 0*t**3 - 4*t**2 + 0 + 0*t**7 + 0*t**6 + 0*t. What is the third derivative of f(b) wrt b? -300*b**2 Let j = -2 + 4. Suppose -5*b = -9 + 4. Differentiate q**3 - b + j + q**3 - 5 wrt q. 6*q**2 Let b(c) = -c**5 + c**3 - c**2. Let m(a) = 23*a**5 + 3*a**3 + a**2. Let l(r) = -3*b(r) + m(r). Find the third derivative of l(f) wrt f. 1560*f**2 Let c(z) = -65*z**3 + 46*z**2. Let p(w) = -130*w**3 + 91*w**2. Let i(y) = -5*c(y) + 3*p(y). Find the third derivative of i(t) wrt t. -390 What is the first derivative of 8 + 4 - 1 + 5*v**2 wrt v? 10*v Let h(n) = 1. Let a(g) = -9*g**3 + 4*g - 27. Let q(p) = a(p) + 4*h(p). What is the derivative of q(s) wrt s? -27*s**2 + 4 Let n(p) be the first derivative of -p**8/336 + p**4/24 - 3*p**2/2 + 1. Let r(y) be the second derivative of n(y). What is the second derivative of r(z) wrt z? -20*z**3 Let k(j) be the first derivative of 7*j**6/6 + 13*j**2/2 + 19. Find the second derivative of k(c) wrt c. 140*c**3 Suppose 0 = 5*v - 8 - 2. What is the third derivative of -2*r**2 - r**4 + 2*r**v - 3*r**2 wrt r? -24*r Find the first derivative of 5*p**2 + 10*p**3 - 169 - 5*p**2 + 148 wrt p. 30*p**2 Let i(s) be the third derivative of -7*s**6/24 - s**4/12 + 29*s**3/3 - 23*s**2. Find the first derivative of i(f) wrt f. -105*f**2 - 2 Let w(j) be the third derivative of 0*j**6 + 0 + 1/6*j**3 + 1/70*j**7 + 0*j**5 + 0*j**4 - 5*j**2 + 0*j. Differentiate w(m) with respect to m. 12*m**3 Let i(j) = -8*j**3 - 29*j**2 - 6*j. Let m(a) = -23*a**3 - 88*a**2 - 17*a. Let s(g) = -17*i(g) + 6*m(g). Find the third derivative of s(l) wrt l. -12 Let h(a) be the first derivative of -a**6/60 + a**5/40 - 2*a**3/3 + 1. Let b(o) be the third derivative of h(o). What is the second derivative of b(q) wrt q? -12 Let a(o) be the third derivative of 1/30*o**6 + 5*o**2 - 1/20*o**5 + 0 + 0*o**4 + 0*o**3 + 0*o. Find the third derivative of a(b) wrt b. 24 Suppose 3*k - 3*s = -3, 5*k - 3 = 2*s + s. Let n(l) = l**2 - 5*l + 2. Let o be n(5). Find the third derivative of -k*r**o + r**6 + 2*r**2 + 0*r**6 wrt r. 120*r**3 Let b(g) be the third derivative of g**7/105 - g**4/8 - 3*g**2. What is the second derivative of b(n) wrt n? 24*n**2 Let t(y) = y**2 - 3*y + 7. Let m be t(3). Differentiate 4*h + 2*h + m - 2 + 3 with respect to h. 6 Let r(c) = -c**3 + 2*c**2 + c - 1. Let s be (-15)/(-10) - 2/(-4). Let v be r(s). What is the first derivative of 3*t**4 - t**2 + v - 4*t**4 + t**2 wrt t? -4*t**3 Suppose -5*o = -4*t - 0 - 5, 4*o = 20. Suppose -l + 5 = c, 3*l = 3 + 12. What is the third derivative of 3*d**2 + 2*d**6 + 4*d**5 + c*d**2 - 4*d**t wrt d? 240*d**3 Let y(r) be the first derivative of -3*r**7/7 + 7*r**3/3 + 12. Find the third derivative of y(f) wrt f. -360*f**3 Let m(c) be the first derivative of -7*c**5/5 + 5*c**3/3 - 8. What is the third derivative of m(f) wrt f? -168*f What is the second derivative of -24*d + 11*d**5 - 29*d + 62*d wrt d? 220*d**3 Let n(q) be the first derivative of 0*q**3 + 3*q**2 + 3/4*q**4 + 3 + 0*q. Find the second derivative of n(d) wrt d. 18*d Differentiate -1 + 0 + 3*s + 4 - 1 with respect to s. 3 Let u = -4 - -8. Suppose -u*t + 6 = -22. What is the second derivative of n**3 - 7*n**2 + t*n**2 - n wrt n? 6*n Let s(x) be the second derivative of -7*x**5/20 - x**4/2 + 16*x. What is the third derivative of s(z)
{ "pile_set_name": "DM Mathematics" }
4.47718 + 0.06418. Let z = -4.4 - s. Let c = z - 0.313. Put c, 0.1, 0.03 in descending order. 0.1, 0.03, c Suppose 13 = -2*z + f, -f + 1139 - 1136 = 0. Sort 23, -1, 1, z, 3. z, -1, 1, 3, 23 Let b(x) = -x**3 - 5*x**2 - 2*x - 7. Let f(l) = 3*l - 5. Let v be f(0). Let p be b(v). Let i = -2.2 + 0.2. Sort p, -3, i, 0.5 in descending order. p, 0.5, i, -3 Let x = -65 + 15. Suppose -48*r - 96 = -50*r. Let l = x + r. Sort 1, 0, l. l, 0, 1 Suppose 24*o + 8301 - 4437 = 0. Let p(r) = r**3 + 7*r**2 - 8*r - 1. Let j be p(-8). Put o, 1, j in increasing order. o, j, 1 Let d = -2532 - -7564/3. Let q be (-4)/10 + 90/100. Put q, 4, d in decreasing order. 4, q, d Suppose 0 = -53*j + 62*j - 18. Put -910, 4, j in decreasing order. 4, j, -910 Let u(x) = 17*x**2 - 14*x - 61. Let a be u(-5). Let m = 438 - a. Put 1, m, 5, -1 in ascending order. -1, 1, m, 5 Let o be -3 + 30/9 + 4/6. Let d be ((-12)/8)/o*3/18. Let v be (-9)/(-1) + 12/(-8). Sort -0.5, v, d. -0.5, d, v Let r = -54.47 + -8.53. Let a = 253.6 + -191. Let f = a + r. Put -5, f, 1/3 in increasing order. -5, f, 1/3 Suppose f - 54*w = -49*w + 45, -4*w - 57 = -5*f. Sort 0, -4/69, 2, f in descending order. f, 2, 0, -4/69 Let y = 10.5 + -10. Suppose 2*x = 2*u + 62, 4*u + 2*x = -2*x - 100. Let v be (-14)/(-286) - u/154. Put y, v, 0.3 in descending order. y, 0.3, v Let i = 156 + -51. Let k = i - 105. Let b(t) = t**2 + 3*t + 4. Let h be b(k). Put 12, -1, -2, h in descending order. 12, h, -1, -2 Let w = 44604/58019 + 2/4463. Put 0.4, 3/4, w, -0.3 in decreasing order. w, 3/4, 0.4, -0.3 Let g be 1/((-1)/6)*-4. Suppose 502*m = 637*m - 135. Sort -1, 0, m, g in decreasing order. g, m, 0, -1 Let z = 55 + -54.5. Let o be (-21)/(-49) + (-1)/(-14)*-6. Put z, 2/7, o in increasing order. o, 2/7, z Suppose 0 = 5*o + 2*b + 35, 987*o = 989*o + 2*b + 20. Suppose -5*r + 123 = 3. Sort r, -2, 3, o. o, -2, 3, r Let j(u) = u**2 - 6*u + 5. Let z be j(6). Let a(w) = 5*w**2 - 160*w - 4168. Let k be a(49). Put 43, z, k, 0 in increasing order. k, 0, z, 43 Let g = -0.056 + 0.956. Suppose 54*h = -3*c + 59*h - 20, 2*c - 20 = -5*h. Put g, -7, 4, c in decreasing order. 4, g, c, -7 Suppose -100*s = -8*s - 460. Put -20, -51, s in decreasing order. s, -20, -51 Let p = 702.4 - -10.6. Let y = p - 713.5. Sort y, -8/7, -1/6, 0.3 in ascending order. -8/7, y, -1/6, 0.3 Let w be ((-2)/(-6))/(140/180). Sort 0, -7, w, 0.012 in increasing order. -7, 0, 0.012, w Let z = 5827 - 5827.2. Let v = -43 + 47. Put 0.4, -20, v, z in descending order. v, 0.4, z, -20 Suppose -3*v = -9, 31 = 5*b + 79*v - 77*v. Put 1, 3, b, -23 in increasing order. -23, 1, 3, b Let j(c) = 18*c + 9 + 4*c**2 + 6 - 5*c**2 + 2. Let r be j(19). Let q be 4*1*(r - -1). Put q, 2, -6, 0 in increasing order. -6, q, 0, 2 Let q(x) = x - 2. Let r be q(3). Suppose 19*n + 1815 = 5*h + 20*n, 4*n - 1830 = -5*h. Let u = -356 + h. Sort r, u, 2 in increasing order. r, 2, u Suppose 0*u = -14*u + 28. Let m be 21/28 - u/8. Suppose o = -5*p + 19, -4*p = -5*o - 0*o - 50. Put m, 1/7, o in decreasing order. m, 1/7, o Let n = -12684 + 12385. Sort 3, -4, n, -3 in decreasing order. 3, -3, -4, n Let s(w) = -2*w**3 - 2*w**2 + 12*w + 3. Let o be s(-3). Sort -6, 39, -4, -1, o in ascending order. -6, -4, -1, o, 39 Suppose -40*z - 78*z = 99*z - 1953. Put 4, 0, 3, -10, z in decreasing order. z, 4, 3, 0, -10 Suppose d + 4*d - 2570 = -5*a, -1550 = -3*a - 5*d. Let c be (-374)/a - (-4)/10. Let w = -0.3 + 0.7. Sort -0.37, w, c. -0.37, c, w Let i = 98143 + -98141. Let g = -0.6 + 0.1. Put i, g, -0.4, -0.1 in descending order. i, -0.1, -0.4, g Let n(c) = c**3 + 8*c**2 + 6*c - 5. Let f be n(-7). Let l = 75014 + -75014. Sort 12, 1, f, l in increasing order. l, 1, f, 12 Suppose -5*r = -2*z - 245 + 235, 5*z + 6 = 3*r. Let b be -4 + 4 + 8/(-2). Sort b, 3, -1, z in descending order. 3, z, -1, b Let o = -641 - -772. Suppose -132*r - 4 = -o*r. Sort r, -42, 3 in increasing order. -42, r, 3 Let o = 1 + 0. Let d = 43 + -23. Suppose -5*h = -h + d. Sort -11, -4, o, h in descending order. o, -4, h, -11 Let k = 12817 - 12415. Sort -4, 0.3, k in descending order. k, 0.3, -4 Let t = -255 - -260. Sort 1, t, -1, -4 in increasing order. -4, -1, 1, t Let w = 22634.5 - 22635. Sort -3581, w, 5 in decreasing order. 5, w, -3581 Let f = -30 + 34. Let g be 1 + 9 + f + -1. Let z be (-17)/4 - (3 - g/4). Put 5, z, 3 in increasing order. z, 3, 5 Suppose -561*b - 3*j = -563*b + 17, -j - 9 = b. Put -3, b, -5, 5, 60 in decreasing order. 60, 5, b, -3, -5 Suppose 120*t - 24*t = 49*t + 141. Let u = 7 - 43. Let g be 4/(-14) + u/(-28). Put 11, g, -5, t in decreasing order. 11, t, g, -5 Let t = -343 + 348. Sort 0, t, 3, -2/53, -1 in descending order. t, 3, 0, -2/53, -1 Let k(a) = -10*a**3 - 5*a**2 - 18 + 10*a + 11*a**3 - 1 + 4. Let m be k(5). Suppose -2*y - z + m = 0, -y - y + 5*z = -5. Put y, 1, 0 in descending order. y, 1, 0 Suppose -131 - 129 = 52*u. Put -1, -4, 3, 61, u in increasing order. u, -4, -1, 3, 61 Let c = -0.0907 - -0.0907. Let p be 4/(-8)*(-1)/(-1). Sort c, -1, p, -4 in ascending order. -4, -1, p, c Suppose 56*j - 12 = 62*j. Put -4, j, -10, 31 in decreasing order. 31, j, -4, -10 Let r = 394.1 - 388.1. Sort -0.1, -2, r, 5, 0 in descending order. r, 5, 0, -0.1, -2 Suppose 4 + 128 = -104*w + 38*w. Put -1, 0, 6, w, 4 in ascending order. w, -1, 0, 4, 6 Let i be ((-30)/(-21) + -2)/(16*(-25)/21000). Put -3, 20, 5, i, 1 in decreasing order. i, 20, 5, 1, -3 Suppose -35*c + 57*c = 186*c - 34932. Sort c, 2, 6, 4. 2, 4, 6, c Let a = -48/49 - -117/98. Sort a, 22, 0.3 in descending order. 22, 0.3, a Suppose -81*z = -56*z - 50. Sort z, -15, 4, 3 in descending order. 4, 3, z, -15 Let j = 222.6 - 222.1. Put 2/4663, j, 2/5 in descending order. j, 2/5, 2/4663 Suppose -48*d + 46*d = -8, 4*w - 576 = -2*d. Sort 4, w, 0, -2 in descending order. w, 4, 0, -2 Let u = -5.4 + 3.5. Let d = -163 + 168. Sort -1/4, d, u in increasing order. u, -1/4, d Let u = -3958 - -3960. Sort 0.046, 1.6, u in increasing order. 0.046, 1.6, u Let q be (4/(-6))/(-7 - (9 + -18)). Put -3, -2, -0.258, q, -1 in decreasing order. -0.258, q, -1, -2, -3 Let d be (1/2)/(20/24). Let s be 6/(-21) + (-48)/126. Let g be (182/(-84) - 15/(-10))/(8/18). Put g, d, s in descending order. d, s, g Let p = 180 - 171. Let m(w) = w**2 - 3*w - 52. Let v be m(p). Put -7.6, v, -1, -4 in ascending order. -7.6, -4, -1, v Let d = -5.904 + 4.904. Sort d, -26.2, 2 in descending order. 2, d, -26.2 Let v(f) = 968*f + 2900. Let d be v(-3). Sort 23, d, 53 in increasing order. d, 23, 53 Let w = -1 + -4. Let k = w + 2. Let u = -394 + 396. Sort u, k, -0.2 in decreasing order. u, -0.2, k Let y = -10 + 14. Suppose 3*k = 5 + y. Suppose -4*s + 24 = -5*f + k*f, -8 = -2*s. Sort -3, f, 0. f, -3, 0 Suppose 0*t = -t - 2. Suppose 208*n = -966*n - 380*n - 45101 + 122801. Sort -5, n, 5, t in ascending order. -5, t, 5, n Suppose 55*l = -111*l - 105*l. Put -3628, -2, l in increasing order. -3628, -2, l Let g be 44/42 - 51/153 - (-6)/21. Let l = 21 - 19. Sort l, -3, g. -3, g, l Let x = 7377 - 7381. Put -296, 0, x in decreasing order. 0, x, -296 Suppose 8*r = -4 + 36. Suppose -9 + 4 = -5*d. Let q be (3 + (-3 - 0) + -1)*d. Sort r, 2, q, -2. -2, q, 2, r Let z = -5004 + 4994. Put 1/8, 0.2, -3, z, 18 in descending order. 18, 0.2, 1/8, -3, z Let i = 5462.4 + -5506. Put -4, -0.1, i in descending order. -0.1, -4, i Let l(n) = -n**2 - 16*n + 0*n**2 + 4 - 8. Suppose 62*t - 60*t + 32 = 0. Let a be l(t). Sort 5, -2, a, -3. a, -3, -2, 5 Let n = -5.7 - -5.16. Let l = -0.24 - n. Put -0.04, 3, l, 1/7 in decreasing order. 3, l, 1/7, -0.04 Let f = -1 - 4. Let x = -51 - -359/7. Let q = -8.1457 - -5.1457. Sort 0.3, x, q, f in descending order. 0.3, x, q, f Let n = 0.4123 + -1.4123. Sort n, -6/11, 1/4, 2/15, 2/5. n, -6/11, 2/15, 1/4, 2/5 Let o(q) = -q + 4. Let t be o(6). Let i = -1 + t. Let v(f) = 2*f**3 + 55*f**2 - 522*f - 1252. Let m be v(-2). Sort i, m, 3, 5 in ascending order. m, i, 3, 5 Let p = 15 - 146. Let g = p - -131. Sort 2, 4, g, -9 in decreasing order. 4, 2, g, -9 Let v = 112 - 112.5. Let o = -3591 + 25133/7. Sort -0.3, v, o in ascending order. o, v, -0.3 Let x(o) = -2*o - 2. Let u be x(-1). Suppose u = -0*i + 2*i + 3*r + 7, -i - 1 = r. Suppose 7*v = 3*v + i. Sort 5, -1, v. -1, v, 5 Suppose -2*p = -4*w + 4, -5 = -9*w + 4*w + 3*p. Let v(j) = j + 4. Let b be v(-7). L
{ "pile_set_name": "DM Mathematics" }
1. Let u be j(1). Let c be u/6 + (-28)/(-6). Is s(c) a composite number? False Suppose -1305 - 1032 = -3*p. Is p a prime number? False Suppose -2*l = -5*l + 873. Is l prime? False Suppose 0 = -2*m - 3*j, -3 - 3 = 3*j. Suppose -47 = -r - m. Suppose 0 = -4*v - 4*p + 8 + 60, -4*v + 4*p = -r. Is v composite? True Is 3019 + 0 + (32 - 32) prime? True Let i be 2*2/(-10)*-5. Suppose -1580 = -i*m - 2*m. Suppose -2*f - 3*f + m = 0. Is f prime? True Let m be ((-10)/(-6))/(9/27). Let f(k) = -1. Let b(z) = -z. Let w(r) = -b(r) - f(r). Is w(m) a composite number? True Suppose 2*m + 64 = -2*m. Let c = -69 + 104. Let l = c + m. Is l composite? False Let m(y) be the second derivative of -y**5/60 - y**4/2 + 7*y**3/6 - y**2/2 - 2*y. Let q(l) be the first derivative of m(l). Is q(-8) prime? False Let o(g) = -g + 170. Let b be o(0). Let u = -117 + b. Is u prime? True Let u(n) = 54*n**2 - 7*n - 5. Is u(-4) a prime number? True Suppose -4*j + 6616 = -6*j. Is j/(-10) + (-3)/(-15) a prime number? True Suppose 0 = 6*o - 5*o - 31. Is o a prime number? True Let a = 3 + -1. Suppose 0 = a*i - 58 - 52. Let y = i - 33. Is y composite? True Suppose 0 = 5*r + 5*p - 4455, 2*r - 5*p - 1768 = -0*r. Is r prime? False Let q = -3 - -6. Suppose l = -2*m - q*l - 10, -5*m + 30 = -l. Suppose m = -5*w, 0 = -0*k - 2*k - w + 41. Is k a composite number? True Suppose -4*b - 13649 = -5*u, 2*u + 0*u - 5454 = -4*b. Is u a prime number? True Suppose -2032 = -q - 11. Is q a prime number? False Let u = 15 - 12. Let k(f) = 3*f**3 + f**2 - 5*f + 4. Is k(u) a composite number? False Let z be (-9)/(-2)*4/6. Suppose z + 6 = 3*y. Suppose -y*u - 82 = -283. Is u composite? False Let a be 1059*-1 - (8 - 8). Let n be 2/5 - a/15. Let z = -50 + n. Is z composite? True Is (651/(-6))/(-7)*10 a prime number? False Let n = -12 + 86. Is n prime? False Suppose -3*p = 5*z - 2 + 11, -15 = -z + 5*p. Suppose b + d = 414, 3*b - d + 3*d - 1241 = z. Is b a prime number? False Suppose 2*p + 318 = 4*p. Is 2/(-8) - p/(-12) a prime number? True Let l be -1 + -47*(-1 + 0). Let s = -27 + l. Is s a composite number? False Let l = 1873 - 2651. Let v = 1247 + l. Is v a prime number? False Let c(a) = a**3 - 5*a**2 + 5. Let j be c(5). Suppose -j*p = -p - 24. Suppose p*i - 95 = i. Is i a prime number? True Suppose -2*w + 2*d + 6744 = 2*w, -5*d - 10 = 0. Is w a composite number? True Suppose 0 = 3*l + 3*c - 420, -c + 46 = 4*l - 511. Is l composite? False Let f(c) = -3*c - 3*c + 10*c**2 + 6*c - 4. Is f(3) prime? False Let t(j) = -2*j + 7. Let m be t(7). Let k = m - 0. Let i = 7 - k. Is i composite? True Let l = -6 - -12. Suppose -5*r + l*r = 184. Suppose -2*w + r = -6. Is w prime? False Let y = 11 - 1. Let j = y + 4. Is j composite? True Suppose -3*x + 681 = -15210. Is x a prime number? True Suppose -5*g + 164 = -3*g. Is g composite? True Let b(t) = -t**2 + 5*t - 3. Let v(n) = -n. Let k(o) = -b(o) - 6*v(o). Let u(a) = a**3 + 2*a**2 + 5*a + 6. Let r be u(-2). Is k(r) composite? True Suppose -l = -4*l. Suppose u = b + 3*b - 10, 0 = 5*b - 5*u - 5. Suppose l = b*f + f - 84. Is f composite? True Let k(s) = 61*s - 4. Let j(w) = 2*w. Let l be j(6). Suppose 2*r - l = -2*r. Is k(r) prime? True Let h be ((-123)/(-3) - 2) + -1. Suppose 0 = -5*z + d - 0*d - 13, -2*z = 2*d - 2. Is h - ((0 - -1) + z) a composite number? True Suppose -3*k + 3*j - 148 = 32, -2*k + 5*j - 120 = 0. Let i = k + 149. Is i composite? False Suppose 0 = 2*q + 2*q - 2876. Let m = q + -354. Is m prime? False Let t = -47 + 130. Is t composite? False Let j(z) be the first derivative of -21*z**2 - z + 3. Is j(-2) a composite number? False Suppose 26 = -2*d + 10. Let p = 7 - d. Is p prime? False Let i = 13 + 170. Let v = i - 94. Is v a prime number? True Suppose 2095 = 4*b + b. Is b a composite number? False Suppose g = -d - 71, -g - 276 = 4*d - 5*g. Let l = -109 - d. Let v = l + 72. Is v a prime number? False Let h(j) = 12*j**2 + 2*j + 1. Let u(r) = r + 10. Let b be u(-9). Let z = b - -1. Is h(z) a composite number? False Let w(h) = -12*h**3 - 2*h**2 + 4. Let y be w(-3). Suppose t + u - 108 + 4 = 0, y = 3*t + 4*u. Is t prime? False Suppose -3*q + 13 = 4*x - 512, 0 = -4*x - 4*q + 528. Is x prime? False Let b(o) = 4 + 0 + 0 + 2*o. Let x be b(-8). Is (-33)/2*8/x a composite number? False Suppose 4 = 7*k - 5*k. Suppose k*a - 627 = -5*m, 0*m + 5*m + 4*a = 619. Is m a prime number? True Let s = -386 - -1463. Is s prime? False Suppose -48 = -3*m + 12. Suppose -4*q - q = -m. Suppose 0*b + q*g - 3 = -b, 3*g + 107 = 4*b. Is b a composite number? False Let b be 9/(-1) + (-8 - -9). Is (-1*503)/(-9 - b) a composite number? False Let r = 5 + -2. Suppose u = 2*q + 9, -u = -q + 2*q - r. Suppose 0*b - u*b + 485 = 0. Is b prime? True Let k(d) be the third derivative of 47*d**4/12 - d**3/6 - 9*d**2. Let w(s) = s**2 - 5*s + 6. Let m be w(4). Is k(m) a composite number? True Let y be (-1 - -1)/(2 + 0). Let q be (2 - y) + (-1 - -1). Suppose -7 = -q*d + 19. Is d a prime number? True Suppose -5*f + 3*a = -187, 6*f - f + 3*a = 193. Let t = f - 15. Is t prime? True Let g(i) = -46*i + 1. Let o = -6 - -4. Is g(o) composite? True Let g = 8 - 4. Suppose 0*f = -g*f - 20, -3*c = 2*f - 11. Is c a prime number? True Let z(n) = 3*n**3 + 2*n**2 + n - 4. Let v be z(-3). Let l be (1/2)/((-7)/v). Suppose l*u - 96 = 34. Is u composite? True Let q be 1/((-1)/3) - -6. Suppose -c - q*c = -268. Is c prime? True Let x be (0 - -1) + -13 + -1. Let j = 21 + x. Suppose -u = -0*c + c - 49, -2*c = j. Is u prime? True Let o(l) = -18*l + 3. Suppose -n = 4*k - 5 + 32, 4 = -k. Is o(n) a prime number? False Suppose -p + 26 + 5 = 0. Is p prime? True Let d(s) = s**3 + 9*s**2 + 2. Let k be d(-9). Suppose 3*i - 4 = k*i. Is 8/32 - (-99)/i composite? True Suppose 2*y + 452 = 3*y. Suppose -484 = -2*g - 3*m, 2*g - 4*m - m - y = 0. Let h = g + -45. Is h composite? False Let j be (2 - 1) + (2 - -1). Suppose 2*p - 2*g - 68 = 0, -j*g - 66 = -5*p + 3*p. Is p prime? False Let w = -5 + 5. Suppose -3*i = 5 - 17. Suppose w = -3*c - i + 109. Is c a composite number? True Suppose -4*z = -3*a + 20401 - 5540, 4*a = 2*z + 7428. Is 4/(-18) - z/36 composite? False Suppose 3*y - 6 = -4*m + 2*y, -3*y - 2 = 2*m. Suppose 5*w - 77 = m*r + 207, 5*w + 3*r = 299. Is w a composite number? True Suppose -3*s = 3*l - 2931, 5*l - 3*s = -36 + 4961. Is l composite? True Let v(c) be the second derivative of c**3/6 + 53*c**2/2 - c. Suppose -3*n = -n. Is v(n) a prime number? True Let a(s) = -15*s + 6. Let i(k) = -16*k + 7. Let w(v) = 3*a(v) - 4*i(v). Is w(7) prime? False Let x = -1107 + 2138. Is x a composite number? False Suppose 0 = g - 137 - 362. Is g prime? True Let l = 637 + 54. Is l prime? True Suppose 4*t + 0*t - 80 = 0. Let x = t + 107. Is x prime? True Let x(v) = 31*v - 3. Let h = 1 - -1. Is x(h) composite? False Let y(k) = -4*k**3 + k - 2. Is y(-3) a prime number? True Let r be (-26)/(-6) - 2/(-3). Let h(k) = -3*k - 3 + k + k**2 - k - r. Is h(9) composite? True Let v be (0 + (-1 - -3))*2. Suppose 0 = -v*q + q - 12. Is (-1)/q + (-1055)/(-20) composite? False Let x(i) = -2*i - 5. Let v be x(6). Let k be (39/(-4) - 0)*-4. Let h = k + v. Is h composite? True Suppose -3*v + 12 = v. Suppose v*n = -25 + 67. Is n a composite number? True Suppose -92 = -y + 107. Is y prime? True Let x(g) = 43*g - 8 - 15*g + 18*g - 5. Is x(6) prime? True Is (-39)/(-6)*86 + 4 a prime number? True Let y(v) = 15*v - 5. Suppose -5*s + 19 = 59. Let b(c) = -c**2 - 8*c + 6. Let t be b(s). Is y(t) a prime number? False Let s(l) = 4*l + 3. Let h be 2/(-8)*2*0. Suppose 0 = t - h*t - 8. Is s(t) prime? False Let a = 490 + -236. Is a composite? True Let z(m) = 14*m - 13. Is z(6) composite? False Let l = 3 + 0. Is l composite? False Let d(g) = -8*g**3 + g**2 - g - 7. Is d(-3) composite? True Let q be (-4)/6*(0 + 3). Let k(j) = 20*j**2 - 3*j - 3. Is k(q) a prime number? True Let r = 10 + -20. Is (-25)/r*(-1 + 5) a prime number? False Let w(a) = -a**2 - 6*a - 2. Suppose 2*m + 17 + 1 = -2*n, 0 = m + 5*n + 25. Let z be w(m). Suppose -z*k + r + 149 = 6*r, 55 = k + 3*r. Is k prime? True Let y = -16 + 14. Is ((-2820)/12)/(1 + y) a composite number? True Suppose -4*g + 5128 = 4*g. Is g prime? True Let v = 55 - -16. Let c = v + 18. Is c a composite number? False Suppose -l - 250 = 4*l. Let f = 9 - l. Is f a co
{ "pile_set_name": "DM Mathematics" }
+ 5*q**2 - 3*q + 24 - 8*q**2. Give f(r(u)). 6*u**2 - 48 Let o(m) = -m**2 + 12462536. Let y(a) = 6*a**2. What is o(y(i))? -36*i**4 + 12462536 Let y(t) = 4622*t - 6. Let c(j) = -1829*j. Determine c(y(s)). -8453638*s + 10974 Let d(o) = -2*o**2. Let k(c) = 18485837*c**2 - 2. Give k(d(p)). 73943348*p**4 - 2 Let s(x) = -2*x**2. Let t(j) be the third derivative of 2*j**2 - 28/15*j**5 + 0*j**3 + 0*j + 0 + 0*j**4. Calculate t(s(z)). -448*z**4 Let l(j) = 2048*j**2 + 2. Let p(v) = -2089*v - 2. What is p(l(o))? -4278272*o**2 - 4180 Let s(x) = 21*x**2 - 1. Let p(z) be the first derivative of z**5/120 + z**3/3 + 25*z - 40. Let b(f) be the third derivative of p(f). Give s(b(g)). 21*g**2 - 1 Let y(q) = -252*q**2. Let j(b) be the third derivative of -b**5/15 - 16*b**2 + 2. Determine j(y(t)). -254016*t**4 Let h(b) = b**2 + 57*b - 57*b + 0*b**2. Let i(t) = 37*t**2 - 6*t**2 - 124 - 29*t**2. Give i(h(s)). 2*s**4 - 124 Let k(l) = 3*l**2 - 8*l**2 + 123474*l - 123474*l. Let w(u) = 850*u**2. Give w(k(a)). 21250*a**4 Let w(v) = -572*v - 1317. Let o(x) = x**2 + 26. Calculate w(o(g)). -572*g**2 - 16189 Let k(g) = 13*g. Let t = -214 - -407. Let i(z) = 97 + z**2 - t + 96. Calculate k(i(s)). 13*s**2 Let l(a) = 66*a**2 + 35*a + 77. Let g(i) = 35*i. Give l(g(m)). 80850*m**2 + 1225*m + 77 Let f(d) = 19*d**2. Suppose -100699*r = -100717*r. Let i(m) be the second derivative of -1/6*m**3 + r + 0*m**2 + 5*m. What is f(i(v))? 19*v**2 Let s(u) = -4*u - 205. Let x(a) = 1091*a + 4. Determine x(s(b)). -4364*b - 223651 Let q(v) = -68*v - 2*v**2 - 73*v - 64*v + 205*v. Let b(k) = 187*k**2 - k. What is b(q(y))? 748*y**4 + 2*y**2 Let m(u) = -2*u. Let p(h) = -122*h**2 + 29*h**2 - 4 + 29*h**2 - 13*h + 31*h**2 + 38*h**2. Determine m(p(q)). -10*q**2 + 26*q + 8 Let l(k) = 299700*k - 3. Let n(y) = -40*y**2 + y. What is l(n(a))? -11988000*a**2 + 299700*a - 3 Let h(i) = i**2 + 5*i + 23. Let f be h(-3). Let g(r) = 38 - 71 + 33 + f*r**2. Let p(o) = 11*o**2. Give g(p(a)). 2057*a**4 Let r(k) = -3*k**2 - 4*k**2 + 0*k**2. Let x(b) be the second derivative of -1/12*b**4 + 0*b**3 + 0 - 216*b + 0*b**2. Calculate x(r(p)). -49*p**4 Let n(b) be the first derivative of -3*b**2/2 + 11148. Let a(p) = 5873*p. Determine a(n(k)). -17619*k Let f = 97 - 101. Let v(j) = -10*j - 4. Let o(r) = 2*r + 1. Let d(x) = f*o(x) - v(x). Let n(p) be the third derivative of -p**4/12 - 5*p**2. Give d(n(g)). -4*g Let n(b) = 5*b**2 - 4*b**2 + b - b. Let h be (-311)/(-10) - 2/20. Let i(d) = -51*d + h*d + 44*d. Calculate n(i(j)). 576*j**2 Let a(n) = n**2. Let u be (-6)/(-4) - (-1)/2. Let p be 0 - (u - -1 - 19). Let j(h) = -p*h**2 - 79 + 79. What is j(a(l))? -16*l**4 Let a(c) = -34*c - 1103. Let p(f) = -196*f - 6620. Let m(b) = 23*a(b) - 4*p(b). Let x(v) = -5*v. Give m(x(d)). -10*d + 1111 Let m(n) = -50360 + 25181 + 25179 - 166*n. Let r(h) = -10*h**2. Give m(r(q)). 1660*q**2 Let u(j) be the first derivative of 9*j**2 - 931. Let w(n) = -6*n - 11. Determine u(w(y)). -108*y - 198 Let g(w) = 153*w**2 + 4*w. Let b(y) = 65*y + 513. Determine b(g(h)). 9945*h**2 + 260*h + 513 Let p(u) be the second derivative of u**6/180 - u**3/6 - 3*u. Let a(j) be the second derivative of p(j). Let o(m) = 38*m + 27*m - 66*m - 2. Give a(o(q)). 2*q**2 + 8*q + 8 Let i(y) = y. Let f(w) be the second derivative of 28/3*w**4 - 70*w - 1 + 0*w**2 + 0*w**3. Determine i(f(z)). 112*z**2 Let u(m) = 22*m. Let c(y) be the second derivative of 17*y**3/2 + 107*y - 1. What is u(c(t))? 1122*t Let i(b) = 7*b. Let h be ((-12)/27)/((-4)/18). Suppose 4*f = 2*s + 32, -h*f + 2*s + 38 = 3*f. Let x(l) = -2*l + 0*l - 3*l + f*l. Give i(x(v)). 7*v Let q(c) = 95785*c**2 + 95790*c**2 - 191577*c**2. Let s(n) = 2611*n + 2. Determine q(s(o)). -13634642*o**2 - 20888*o - 8 Let f(v) = -5*v**2. Let i(a) = -5*a + 16*a + 33*a + 47*a. Calculate f(i(c)). -41405*c**2 Let d(c) = -23*c - 1. Let o(p) = -42*p**2 + 7492. Determine o(d(r)). -22218*r**2 - 1932*r + 7450 Let o(t) = -2*t**2 - 13. Let b(a) be the first derivative of a**5/60 + 2*a**2 + 10*a - 3. Let z(g) be the second derivative of b(g). Give z(o(k)). 4*k**4 + 52*k**2 + 169 Let p(o) = 27*o**2. Let w(j) = -5*j - 101247379 + 101247379. What is p(w(x))? 675*x**2 Let c(r) = 21478 - 10734 - 10744 - 326*r**2. Let i(j) = 27*j**2. Give c(i(o)). -237654*o**4 Let v(b) be the second derivative of 7*b**3/2 + 382*b. Let r(q) be the second derivative of q**4/2 + 128*q. What is v(r(g))? 126*g**2 Let c(s) = 13*s**2 + 832 - 832 - 28*s**2 + 22*s**2. Let g(t) = -t**2 + 11. Determine c(g(b)). 7*b**4 - 154*b**2 + 847 Let f(v) = 40*v**2. Let c(w) = 36*w. Suppose -16*l = -37*l - 42. Let o(n) = 16*n. Let m(j) = l*c(j) + 5*o(j). What is f(m(z))? 2560*z**2 Let n(s) = -1644*s. Let w(f) = 18*f**2 - 299*f + 13. Let y(v) = -3*v**2 + 46*v - 2. Let a(i) = -2*w(i) - 13*y(i). What is a(n(x))? 8108208*x**2 Let x(g) be the second derivative of -g**4/4 - 3*g - 6. Let l(n) = -4*n + 2*n - 7*n + 1 + 4. Determine l(x(b)). 27*b**2 + 5 Let n(h) = 12*h**2 + 2710*h. Let d(v) = 17*v. What is n(d(a))? 3468*a**2 + 46070*a Let j be -5 + 12/(-9)*3 + 18. Let h(z) = z + 8*z - j*z + 56 + z. Let o(b) = 3*b - 4*b + 0*b. What is o(h(p))? -p - 56 Let s(z) = -5*z**2. Let p(u) = -8*u**2 - 7*u. Let a(n) = 23*n**2 + 21*n. Let w(f) = -6*a(f) - 17*p(f). Determine w(s(v)). -50*v**4 + 35*v**2 Let t(w) be the third derivative of w**4/8 - 7*w**3/6 + 2*w**2 + 2*w - 235. Let g(u) = 41*u**2. Determine t(g(z)). 123*z**2 - 7 Let x(t) = 14183469*t**2. Let m(k) = k. Determine m(x(w)). 14183469*w**2 Let r(p) be the first derivative of 143/3*p**3 + 3/2*p**2 + 0*p + 150. Let t(c) = -2*c**2. Give r(t(s)). 572*s**4 - 6*s**2 Let s(u) = -316354*u**2 + 4. Let k(c) = c**2. Give s(k(t)). -316354*t**4 + 4 Let l(v) = -2*v - 64. Let m(u) = -u - 24. Let p(y) = -3*l(y) + 8*m(y). Let a(o) = 62*o. Calculate p(a(d)). -124*d Let q(i) = -117*i - 81. Let y(p) = -9*p - 6. Let n(c) = -2*q(c) + 27*y(c). Let m(v) = 532*v. Determine n(m(h)). -4788*h Let r(t) be the second derivative of 5*t**3/6 - 3*t**2 + 90*t - 1. Let u(s) = 11*s**2. What is u(r(o))? 275*o**2 - 660*o + 396 Let z(i) = 4*i. Let p(c) = -233*c**2 + 55*c + 206. Give p(z(q)). -3728*q**2 + 220*q + 206 Let a(q) = 38*q**2 - 2*q + 152. Let w(c) = 50*c**2. Give a(w(x)). 95000*x**4 - 100*x**2 + 152 Suppose -4*b = -10*b + 30. Suppose -5*r - 21 = 3*a - a, 5 = b*a + r. Let q(v) = 3*v**2 - a*v**2 + 2*v**2. Let i(l) = 8*l. Give q(i(z)). 192*z**2 Suppose -5*s = 5*p - 95, -116 = -5*s - 5*p + 7*p. Let b(n) = -18*n + 11. Let t(o) = 2*o - 1. Let q(g) = s*t(g) + 2*b(g). Let d(h) = h. What is q(d(f))? 8*f Let k(j) = -j + 5. Let w be k(4). Let d(t) = -t**2 - t + 2. Let n(m) = 6*m**2 + 4*m - 8. Let g(y) = w*n(y) + 4*d(y). Let p(x) = -174*x**2. What is g(p(b))? 60552*b**4 Let c(v) = -2*v**2. Let o(j) = 22150823*j**2. What is c(o(h))? -981317919154658*h**4 Let h(a) = a**2. Let d(w) = 23*w - 138. Let f(o) = 17 - 51 + 35. Suppose -6*v - 4 = -2*v. Let c(j) = v*d(j) - 138*f(j). Calculate h(c(p)). 529*p**2 Suppose -h + 32 - 18 = 0. Let z(t) = 17*t + h*t - 29*t. Let w(n) be the third derivative of -3*n**4/8 + n**2. Determine z(w(f)). -18*f Let s(u) = 524*u**2. Let j(p) = -83*p + 16. Determine j(s(m)). -43492*m**2 + 16 Let j(m) = -2*m + 7*m - m. Let w(z) be the second derivative of 4*z**3 - 214*z + 3. Give j(w(k)). 96*k Let i(s) = -2*s + 1746. Let p(r) = 24*r + 35. Calculate p(i(u)). -48*u + 41939 Let j(l) = 515*l. Let t(f) = 2936*f. Determine j(t(y)). 1512040*y Let c(k) = 2*k. Suppose -q + 2*r = 10, -5*q + 107*r = 102*r + 25. Let n(j) be the first derivative of 29/2*j**2 - 44 + q*j. What is c(n(m))? 58*m Let v(d) be the first derivative of -2*d**3/3 + 10461. Let u(a) = -51*a - 4. Let h(n) = -1. Let q(y) = 4*h(y) - u(y). Calculate q(v(z)). -102*z**2 Let i(c) = 59*c. Let m(u) = -13*u**2 - 17959. Calculate i(m(f)). -767*f**2 - 1059581 Let y(x) = x. Let s(l) = -567637237*l**2 + l. Determine y(s(h)). -567637237*h**2 + h Let d(t) = 256*t - 96*t - 93*t - 85*t. Let y(k) = -55*k. Calculate d(y(o)). 990*o Let p(s) = -3*s. Let q(n) = -2293*n**2 - 10*n + 20. Let x(a) = -765*a**2 - 3*a + 6. Let w(m) = 3*q(m) - 10*x(m). Give p(w(o)). -2313*o**2 Let j(s) = -9*s. Let y(c) be the third derivative of -3*c**5/10 - c**4/24 - 7997*c**2. Calculate j(y(b)). 162*b**2 + 9*b Let r(q) = 359817 + 20*q**2 - 359817. Let g(s) = 24*s**2
{ "pile_set_name": "DM Mathematics" }
ative of 1944*o**3 - 19*o**2 - 71*o + 2. 11664 Find the second derivative of -4152*w**5 - 2930*w wrt w. -83040*w**3 What is the second derivative of -15*o**3 - 80*o**2 - 1935*o wrt o? -90*o - 160 What is the second derivative of -1551*w**3 - w**2 + 7285*w? -9306*w - 2 Find the third derivative of -175*c**4*m - c**3*m*o**3 - 4*c**2*m*o**2 + 2*c*m*o - 22*o**3 wrt c. -4200*c*m - 6*m*o**3 Find the third derivative of 4*c*j**4 + 741*c*j**3 + 23*c*j**2 - 3*j**2 + 81*j wrt j. 96*c*j + 4446*c What is the derivative of -4*u**3 - 28*u**2 + 971? -12*u**2 - 56*u What is the derivative of -174*k**2*z**2 - 1247*k**2 wrt z? -348*k**2*z Find the second derivative of -106*d**3*p**3 + 3*d**3*p + 7*d**2*p**3 + 244*d**2*p + 2*p**3 wrt p. -636*d**3*p + 42*d**2*p + 12*p What is the third derivative of 46*m**3 - 7*m**2 + 16? 276 What is the second derivative of 7581*m**2*w**3 - 2*m*w**3 + 70*m*w + 28*w wrt m? 15162*w**3 What is the second derivative of -7*l**4 - 5*l**3 + 112*l wrt l? -84*l**2 - 30*l Find the third derivative of -12*f**3*m + 3*f**3 - f**2 + 4*f*m - 121*m wrt f. -72*m + 18 Find the third derivative of t*w**5 + 37*t*w**3 - 35*t*w**2 + t wrt w. 60*t*w**2 + 222*t Find the third derivative of 14*b*y**5 - 2*b*y**2 + 4*b*y - 88*y**5 + 3*y wrt y. 840*b*y**2 - 5280*y**2 Differentiate -d**2*j**2 + 2*d**2 - 12*d*j**2 + 14*j**2 - 3 wrt d. -2*d*j**2 + 4*d - 12*j**2 Find the third derivative of 17*q**3*s*x**2 + 3*q**3*x**3 - 231*q**2*s*x**3 - 2*s - 23*x**2 wrt x. 18*q**3 - 1386*q**2*s What is the second derivative of 115*f**2*i**2*x**2 - f**2*i**2 + 5*f**2*x**2 - 9*f**2*x + 2*f*i*x - 2*i**2*x - 30*i*x wrt x? 230*f**2*i**2 + 10*f**2 Find the second derivative of -5*f*h*x**2 + 2*f*h*x - 4*f*x - 2*h*x**3 + 3*h*x + h - 30*x**2 + 1 wrt x. -10*f*h - 12*h*x - 60 What is the first derivative of 1016*o**3 - 1169? 3048*o**2 Find the first derivative of 521*x - 9753. 521 Find the third derivative of -660*w**4 + 12*w**2 + 23*w. -15840*w Find the third derivative of 16*u**2*w**4 - 23*u**2*w**2 + 8*u**2 + 4*w**4 wrt w. 384*u**2*w + 96*w Find the second derivative of a**3 + 5*a**2 + 32*a + 6. 6*a + 10 What is the second derivative of -2*f**4*u - 3*f**3*u + 47*f**2*u**3 + 2*f*u**2 + 15*u**3 wrt f? -24*f**2*u - 18*f*u + 94*u**3 What is the first derivative of 39*x**3 + 178? 117*x**2 Find the second derivative of 316*h*z**2 + 174*h*z + z**3 - 2*z wrt z. 632*h + 6*z Find the third derivative of -424*p**4 - 155*p**2 wrt p. -10176*p Find the third derivative of 42*g**6 - 7*g**5 - 1272*g**2. 5040*g**3 - 420*g**2 Differentiate -2*p**3*w - 72*p**2 + 2*p*w + 3*w + 27 with respect to p. -6*p**2*w - 144*p + 2*w What is the second derivative of -2*a**5*d - 4*a**3*d*f - 7*a**2*d*f + a*d - 196*d*f wrt a? -40*a**3*d - 24*a*d*f - 14*d*f Find the first derivative of 1054*h*j**2 - 3*h + 80 wrt j. 2108*h*j Find the second derivative of -11*a**5 + 6*a**3*l**3 - a*l**3 - a*l - 14*l**3 wrt a. -220*a**3 + 36*a*l**3 Find the second derivative of 1199*k**4 + 2908*k. 14388*k**2 What is the first derivative of j**2 - 7*j - 427? 2*j - 7 Differentiate -c**2 - 846*c + 2965 with respect to c. -2*c - 846 Find the second derivative of -203*h**2 + 9*h wrt h. -406 What is the first derivative of 122*i**3 - 188? 366*i**2 Find the second derivative of 1784*f**2*u - 104*f*u wrt f. 3568*u Find the second derivative of -156*p**2*y**3 - 14*p**2*y + 2*y**4 - y wrt y. -936*p**2*y + 24*y**2 What is the first derivative of -1886*u**2 + 2083? -3772*u Find the second derivative of -329*t**5 + 56*t - 4 wrt t. -6580*t**3 What is the first derivative of -2*a**4*r + 14*a**4 - 27*a*r - 334*r + 1 wrt a? -8*a**3*r + 56*a**3 - 27*r What is the first derivative of 6*n**4 - 285*n**2 + 5277? 24*n**3 - 570*n What is the second derivative of -255*w**4 + 199*w wrt w? -3060*w**2 What is the first derivative of 374*w + 577 wrt w? 374 What is the second derivative of 295*g**5 - 149*g? 5900*g**3 Find the third derivative of 885*r**6 + 14*r**2 - 11 wrt r. 106200*r**3 What is the third derivative of -39*j**6 + 3*j**4 + 315*j**2 - 1 wrt j? -4680*j**3 + 72*j What is the third derivative of -500*a**2*u**5 - 6*a**2*u**2 + 5*a**2*u wrt u? -30000*a**2*u**2 Find the second derivative of 431*i**2 + 21*i + 8 wrt i. 862 Differentiate 18*d**2*k**2 + 9924*d**2 - 78*k**4 with respect to k. 36*d**2*k - 312*k**3 What is the derivative of 18*i*l**2*v + i*l**2 + 5*i*l*v - 117*i + 4*l**2*v wrt v? 18*i*l**2 + 5*i*l + 4*l**2 Differentiate 4*r*u*w + 11*r*u + 2*r*w + r - 3278*u*w + 2 wrt r. 4*u*w + 11*u + 2*w + 1 What is the second derivative of 395*i**3 - 538*i? 2370*i Find the first derivative of 3*i**3*s**3 - 92*i**3 wrt s. 9*i**3*s**2 What is the derivative of 17*o**3*s**3 - 12*o**3 - 1558*s**3 wrt o? 51*o**2*s**3 - 36*o**2 What is the second derivative of 833*z**5 - 1078*z wrt z? 16660*z**3 What is the first derivative of 5*l**2 + 10*l + 174 wrt l? 10*l + 10 What is the second derivative of 7*b**2*v**3 + 174*b**2*v + b*v**4 + b*v wrt v? 42*b**2*v + 12*b*v**2 What is the first derivative of 2213*q - 1319? 2213 Find the third derivative of 210*c**4*w**2 + 2*c**4*w - 15*c**2*w**2 + 3*c**2 - 3*c*w**2 wrt c. 5040*c*w**2 + 48*c*w What is the third derivative of -2*p**5 - 15*p**3 - p**2 - 44? -120*p**2 - 90 Differentiate -4*c**4 + 10*c**2*f + 5*c*f - 2*f + 750 with respect to c. -16*c**3 + 20*c*f + 5*f What is the first derivative of -5*v**2*x**2 - 217*v**2 - 2*v*x + 26283*x**2 wrt v? -10*v*x**2 - 434*v - 2*x Find the third derivative of -3*u**5 - 10*u**4 - 311*u**2 - u - 4. -180*u**2 - 240*u Find the second derivative of -94*c*h**2 - c*h + 1550*c - h**4 + 2*h**2 wrt h. -188*c - 12*h**2 + 4 Differentiate -11*k**4 - 2*k**3*s - 2*k*s - 28*s wrt k. -44*k**3 - 6*k**2*s - 2*s What is the second derivative of 172*f**2*h**2 - 29*f**2 + 4*f*h + h wrt h? 344*f**2 What is the third derivative of -80*d**3*n**3 - 2*d**3*n - d**2*n - 114*n**3 - 4 wrt d? -480*n**3 - 12*n Find the second derivative of 8730*w**2 + w - 1310 wrt w. 17460 What is the second derivative of 320*b*h**2*o**3 + b*h**2 - 313*b*o**3 - h*o + 2*o**3 wrt h? 640*b*o**3 + 2*b What is the second derivative of -n**3*u**2 + 120*n**3*u + n**2*u**2 + 5*n*u**2 - 3*n*u - 11 wrt n? -6*n*u**2 + 720*n*u + 2*u**2 Differentiate 2*z**4 + 896*z - 2140. 8*z**3 + 896 Find the third derivative of s**2*t**3 + 960*s**2*t**2 - 537*t**3 - 4*t**2 + 1 wrt t. 6*s**2 - 3222 What is the third derivative of -1785*m**3 - 2557*m**2 wrt m? -10710 Find the first derivative of -1280*w + 2748. -1280 Find the third derivative of -243*a**6*p - 3*a**4*p**2 + 2*a**2*p**2 + 272*a**2 wrt a. -29160*a**3*p - 72*a*p**2 What is the second derivative of -697*o**2 + 246*o? -1394 Differentiate 470*f*h**2*u - f*h**2 - 312*f*u + 2*f + u wrt h. 940*f*h*u - 2*f*h Find the second derivative of 220*v**3 + 2*v**2 + 261*v + 1. 1320*v + 4 What is the second derivative of -92*h*j**2*k + 3*h*j*k + j**2*k + 8*k wrt j? -184*h*k + 2*k What is the second derivative of -1430*r**3 - r - 2451? -8580*r Differentiate -m**4 + 3363*m**3 - 15664 with respect to m. -4*m**3 + 10089*m**2 What is the third derivative of -2*p**4 + 40*p**3 - 803*p**2? -48*p + 240 What is the first derivative of 94*a*f*n**2 - 2*a*n**2 - 2*a - 11*f*n**2 - 11*f wrt a? 94*f*n**2 - 2*n**2 - 2 What is the derivative of -5*f**2*t**4 - 56*f**2 + 23*f*t**4 + 4*f wrt t? -20*f**2*t**3 + 92*f*t**3 Find the third derivative of -5*p*q**3 - 416*p + 369*q**3 + 6*q**2 wrt q. -30*p + 2214 Find the second derivative of 114*k**2 + 145*k wrt k. 228 What is the second derivative of -12*y**5 - 2*y**3 + 247*y? -240*y**3 - 12*y What is the second derivative of 3605*g**4 - 10357*g? 43260*g**2 What is the first derivative of 5443*s**4 + 6179? 21772*s**3 What is the third derivative of -2*k*t**3 + 3*k*t**2 + k*t + 6129*t**3 - 5*t**2 - 46*t wrt t? -12*k + 36774 What is the third derivative of -127*k**4 + 7*k**3 - 22677*k**2? -3048*k + 42 Find the third derivative of a**2*f**4 - 148*a**2*f**2 + 295*f**4 wrt f. 24*a**2*f + 7080*f What is the second derivative of -16*y**3 + 95*y**2 + 3*y + 233? -96*y + 190 What is the second derivative of -6*v**3*y**4 + 2*v**3*y - 1609*v**3 - 86*v*y**4 wrt y? -72*v**3*y**2 - 1032*v*y**2 Find the second derivative of h**4 + 48*h**2 - 228*h wrt h. 12*h**2 + 96 Differentiate 11888*h**3 + 108. 35664*h**2
{ "pile_set_name": "DM Mathematics" }
ite? True Let l(m) = -m**3 + 5*m**2 - 4*m + 4. Let p be l(4). Suppose -95*h - 936 = -104*h. Suppose -p*k + 3*i - h = -411, k - 85 = -2*i. Is k a prime number? True Suppose -4*x - y = -23118, x - 3*y = 6677 - 904. Is x a prime number? True Suppose 2*d = -q + 2, 4*d - 5*q = 5*d - 19. Is d/(1/(-291)*3) a prime number? True Suppose -2*u + 2 = 0, -3*n + 2*u - 6685 = -386. Is -2 - -3 - (3 + (n - 2)) a prime number? True Let p = -4 + -1. Let q = -21 + p. Is 5/1*(5 - q) composite? True Let f(t) = -269*t + 3. Let h be f(-1). Let o = h - 175. Is o a prime number? True Suppose -i - 4*i = -25. Suppose 3*d + 2*d + f = 171, -i*f - 55 = -d. Is d prime? False Let j(x) = 15*x**3 - 8*x**2 + 2*x + 8. Is j(5) prime? True Let t(w) = w**3 + 2*w**2 + 2*w + 3. Let q be t(-2). Is 4 + 79*8 + q composite? True Let y = 11 + -7. Let r be 5 - y - (-1183 + 2). Suppose 5*x - 1603 = r. Is x prime? True Let x = 81358 + -55217. Is x prime? True Let v = -74 + 77. Suppose 0 = -u + q + 58, 4*u - 207 = -v*q + 18. Is u a prime number? False Let s(u) = u**2 - 53*u + 55. Is s(-27) a composite number? True Let a(x) = -14 + 3*x**2 - 8*x**2 + 2*x**3 - 4*x**2 + 10 + 3*x. Let t be a(7). Suppose -u + t = -147. Is u a prime number? True Suppose 4*z - 5*h - 20 = 0, -5*z + 2*h = -22 - 3. Let q(g) = g**2 - 4*g - 11. Let m be q(6). Is (m - -86) + -3 + z composite? False Suppose -8218 = 7*m - 21*m. Is m a prime number? True Is (-12 - -14)/(((-6)/60459)/(-1)) composite? True Suppose -5*t - 7 = 3. Let h(y) = -2*y. Let q be h(t). Let j(g) = g**2 + 3*g + 3. Is j(q) a composite number? False Suppose -7*f + 12*f - 12770 = 0. Is f a prime number? False Suppose -4*x + 85187 = 5*l, -5*l + x = -4*l - 17041. Is l a prime number? False Suppose 4 = -o - o, -4*o + 22 = 5*s. Let h(b) = -3*b - 20. Let y be h(s). Is (-14193)/y + (-1)/2 a prime number? True Let q = -134 - -144. Is 2125/q - (-3)/(-2) a composite number? False Let l be 10/7 - (-44)/77. Let z(p) = 8*p - 2*p**2 - 5 + 0*p + 4*p**l + 0*p. Is z(-6) prime? True Let t = -72 + 72. Suppose 2*j - 2716 = -2*s - t*j, -6808 = -5*s + j. Is s a composite number? False Suppose 55*w - 414 = 52*w. Suppose 4*f - 976 = 36. Suppose -c + w = -f. Is c prime? False Let n(c) = 7*c**2 - c + 3. Let k = 40 - 34. Is n(k) composite? True Suppose -4*l + 12 = 0, 0 = -3*g + 2*l - 17 - 1. Let s(m) = 3 + 5*m + 5*m**3 - m + m - 21*m**3 - 3*m**2. Is s(g) composite? True Let r(p) = 10*p**2 + 46*p - 223. Is r(29) prime? True Let v(k) = -3*k + 161. Is v(-26) a prime number? True Let o(x) = x**3 - 3*x**2 + 3. Let d be o(3). Suppose 4*r + 5049 = d*z, 4629 + 440 = -4*r - z. Is (0 + 2)*r/(-12) composite? False Let m = 55471 + -28460. Is m a prime number? True Let a(o) = -o**2 - 5*o. Let f be a(-4). Let g be -5*((-8)/(-18) - 2415/27). Suppose -f*h + 9*h = g. Is h prime? True Suppose 0*y - 5*y = -1330. Let d = 6 - 33. Let u = y + d. Is u prime? True Let p(j) be the second derivative of 5*j**5/4 - j**4/3 + 2*j**3 - j**2 + 24*j. Is p(5) composite? False Let u(c) = c - 1. Let b(s) = -14*s + 5. Let f(t) = -b(t) - 3*u(t). Let o be 64/(-12)*3/(-2). Is f(o) a prime number? False Let j = 27159 + -11478. Is j prime? False Suppose 5*v - v = -8. Let p be 1/((4/v)/(-4)). Suppose -l - 4*l = 5*c - 45, 0 = p*l - 2*c - 38. Is l composite? True Let w = -57 - -57. Suppose -11*z + 8*z + 1923 = w. Is z prime? True Let j(c) = c**2 + c. Let y(w) = 2*w**2 + 5*w + 1. Let u(t) = 6*j(t) - y(t). Let o be (20/(-2) + 0)*6/(-60). Is u(o) prime? False Suppose -6*c - 4 = -22. Suppose 4*a - 36 = -5*d, 16 = 5*a + 2*d - 12. Suppose a*g - 174 - 235 = c*h, -2*g - 2*h = -208. Is g composite? False Suppose 2*s = -10, 0*j + 10833 = 4*j + 3*s. Suppose -4885 = -4*y - 5*t + j, 9445 = 5*y - 4*t. Is y composite? True Let j(c) = 29*c**2 - 14*c - 44. Is j(-13) a prime number? True Let w = 12608 + 4269. Is w prime? False Let d = 19449 - -3404. Is d a composite number? False Let b = 4728 + -2590. Is b a composite number? True Suppose -5*r - 3*x = -133810, r - 5*x - 14653 = 12081. Is r a prime number? True Let j = 2 - 0. Suppose 2*w - 2*k + 4 = -j*w, -5*w = 4*k - 21. Is w/(-3 + (-1528)/(-508)) prime? True Let r(g) = -2*g - 9. Let u be r(-6). Let i(b) = b + 0 + 29*b**2 - 2*b**2 + 12 - u*b. Is i(5) a composite number? False Suppose -3*k + d + 4*d = -16, 0 = -k - 3*d - 18. Is 1 - (-142 - (k + 5)) prime? False Suppose 13 - 3 = z. Let i(j) = 32*j - 27. Is i(z) composite? False Let s(q) = -3*q**2 + 2*q - 43. Let y(g) = 13*g**2 - 9*g + 173. Let w(t) = -18*s(t) - 4*y(t). Let k = 16 + -16. Is w(k) a composite number? True Let m(i) = 5*i**3 - 2*i**2 - 6*i + 2. Is m(11) a composite number? True Suppose x = 4*z - 8, 0*x + 4 = 2*z - 4*x. Is z/(-9) - (148560/(-27) + -4) a composite number? True Suppose 3*l - 10 = -10. Suppose -4*z - 102 + 1274 = l. Is z a composite number? False Suppose -2*j = 66 - 54. Is 0 + (j - -499) - (3 - 1) composite? False Suppose 3*z - 95 + 92 = 0, -2*z = 2*m - 84264. Is m a composite number? False Suppose 2*y - 3*i = 130, 0*y - 5*i - 262 = -4*y. Let j = 12 - 3. Suppose -j - y = -m. Is m a composite number? True Let x be (-4)/(-24) - 17/(-6) - 3. Suppose 3*w - 6*c = -10*c + 4631, x = 2*w + c - 3079. Is w a prime number? False Suppose 3*w - 106 + 34 = 0. Suppose -2*v = v + 2*y + 32, 0 = 4*v - 2*y + w. Is (254 - v) + (-3 - 0) composite? True Suppose 4*w = -w + g + 15626, 3*w = 4*g + 9362. Is w/(-12)*4/(-2) composite? False Suppose -10 + 2 = 2*h. Let y be 4/12 - h/6. Is ((-82)/(-4))/(y/14) a composite number? True Let l(q) = -143*q - 12. Let t be l(-5). Let b = -338 + t. Is b a composite number? True Let g(o) = o**3 - 11*o**2 + 13*o - 9. Is g(10) a composite number? True Let z = -563 - -1000. Let m = -294 + z. Is m prime? False Let m(q) = 33*q**2 - 46. Is m(9) prime? False Suppose -9*g + 27201 = -223368. Is g prime? False Suppose n + 12 - 3 = 0. Let g = n + 9. Suppose g = -5*o + 2*i + 477, -o + 178 = o - 4*i. Is o a composite number? False Suppose 16 - 38 = -2*z. Let j(a) = a**3 - 5*a + 9. Is j(z) prime? False Suppose -5*t - 5*c = -4*t - 333, 2*c = -5*t + 1665. Let g = -170 + t. Is g prime? True Is (-13882)/(-14) + (-59)/(-7) + -9 a prime number? True Suppose 14*x - 10*x = -968. Let l = 459 + x. Is l a prime number? False Let s = -1024 + 8596. Is (-4)/((-32)/s)*14/3 a composite number? True Suppose -18*k - 7383 + 259905 = 0. Is k a composite number? False Suppose -2*k - 28517 = 925. Is 8/6*(k/(-28) + 0) a prime number? True Suppose -r = -4*o - 21953, 0*o - 3*o + 6 = 0. Is r a composite number? False Let w(y) = -y**2 - 5*y - 2. Let i be w(-4). Suppose 3*l - 6629 = -2*l - i*h, -3*l - 4*h = -3969. Is l a prime number? True Suppose 3*g - 2*g - 45 = 0. Let u(a) = -4 + 0*a**2 - g*a - 5*a**2 - a**3 + 36*a. Is u(-7) a composite number? False Suppose 5*h + 430 = -5*u, 5*u - 224 = -h - 666. Let q = 25 + u. Let s = q + 101. Is s composite? False Let y(w) = 18397*w + 53. Is y(2) composite? False Let x(v) = 5*v**3 + 10*v**2 + 41*v + 33. Is x(23) composite? True Let j = 9 - 6. Let a(b) = 2*b**2 - 13*b - 5. Let q be a(7). Suppose -447 = -j*i + q*i. Is i prime? False Let b(h) = -h**3 + h**2 - 4*h - 5. Suppose 4*g + 14 = -2*o, -10 = -0*o + 3*o - 5*g. Let u be b(o). Let w = u - 38. Is w a composite number? False Let d(z) = -2*z + 7*z + 0*z**2 - 9 + 12*z**2 + z**3 - 2*z. Is d(-11) a composite number? False Suppose 5*x - 12 + 2 = 0. Suppose 2*i - 7*i = -4*g - 5, 5 = -x*g + 3*i. Suppose 3*t - g*t + 890 = -2*p, 2*t + 5*p = 904. Is t a composite number? True Let g = 2524 + 517. Is g composite? False Let v(d) = -d**3 + 3*d**2 + 10*d + 2657. Is v(0) a prime number? True Suppose 20*x + 18*x = 189430. Is x composite? True Let t = 792 + -21. Is t a prime number? False Let z be (-3)/(-2)*((-3760)/(-24) - 2). Let s = 1479 - z. Is s a prime number? False Let n(o) = -o**2 + 6*o + 3. Let m be n(5). Let v = m - 6. Suppose -v*l + 5*c = -70, -2*c + 17 = l - 0*l. Is l a composite number? True Let x = 2199 + 3260. Is x composite? True Let x(p) = -486*p**3 - 2*p**2 + p - 2. Let n be x(-2). Suppose 4*s = 8, -12884 + n = -4*j - 2*s. Is j prime? True Suppose 0 = 67*x - 69*x + 5*a + 4318, -10761 = -5*x + 4*a. Is x a composite number? True Let b be (-10)/(-8) + 11/(-44). Is b*3 + (772 - -12) composite? False Suppose -9555 = -p + 2*c, -11189 = 2*p + 3*c - 30334. Suppose 0 =
{ "pile_set_name": "DM Mathematics" }
3? (a) 0 (b) 3/8 (c) -40/17 b Which is the nearest to 6? (a) 10622 (b) 2 (c) 0.2 b What is the nearest to 0 in -40, 0.046, -0.4, 0.2, -2? 0.046 Which is the closest to 1? (a) 22 (b) 1065 (c) -9 c What is the closest to -2 in -1/4, 0.3, 0, -2834, 3? -1/4 Which is the closest to 1/2? (a) 10 (b) 1 (c) 0.9 (d) 8 (e) -0.07 c What is the nearest to -1 in -14/5, -0.4, 2.422, -0.3? -0.4 What is the closest to 5 in 0.12, 8, 3, -23? 3 What is the nearest to 1 in -5, 2/41, 0.8, 2? 0.8 What is the nearest to 348/41 in 9/4, -4/5, -10? 9/4 Which is the closest to -109? (a) 2.3 (b) 2 (c) 6 (d) 0 d Which is the nearest to 19.3? (a) 14 (b) -2/9 (c) 2/3 a What is the closest to -138.537 in 5, -2, 4? -2 Which is the closest to -15.07? (a) 8 (b) -0.3 (c) 0 (d) -5 d What is the nearest to -69 in 2/3, 0.5, 858? 0.5 What is the closest to 49 in -1, 0.2, 0.7, 0, 2/11? 0.7 Which is the nearest to 0.1? (a) 7 (b) 4 (c) -3/4 (d) 1/7 d Which is the nearest to -2/3? (a) 0.059 (b) -0.2 (c) -0.015 b What is the nearest to -0.8 in 36, -1/3, 5? -1/3 Which is the closest to 0.2? (a) -0.092 (b) 24 (c) -1 (d) 0 (e) 2/17 e Which is the closest to 0.05? (a) -1/4 (b) -0.05 (c) 4 (d) 12/5 b Which is the nearest to -36? (a) 55/6 (b) -0.6 (c) -2 c Which is the closest to 106? (a) -1 (b) -1/3 (c) -2 (d) 2/3 (e) -2/15 d Which is the nearest to -18? (a) 8 (b) -0.6 (c) -0.07 (d) -1/7 b Which is the closest to -0.01? (a) -3 (b) 2 (c) -1/6 (d) 1309 (e) 5 c Which is the nearest to -1? (a) 0 (b) -2/7 (c) -4 (d) -4485 b Which is the nearest to 1? (a) -10/17 (b) -0.3 (c) -130 b What is the closest to -2 in -1117/4, -4, 0.4, 4? -4 Which is the nearest to -2? (a) -5 (b) 4 (c) -42 (d) -2/3 (e) 314 d Which is the nearest to 0.3? (a) -3 (b) 175 (c) -1/3 (d) -0.3 (e) -1/5 e Which is the nearest to 28/39? (a) 4/5 (b) 0.02 (c) 2/5 (d) 1/5 (e) -3/4 a Which is the closest to 0? (a) 568.01 (b) 5 (c) -3 (d) -1/6 d What is the closest to -2 in 0, 0.3, 2, -64985? 0 Which is the nearest to 1/2? (a) 4 (b) -14 (c) 0.3 (d) -2/5 (e) -74 c Which is the closest to -104? (a) 3 (b) -0.4 (c) -4 c Which is the nearest to -3/11? (a) -5/7 (b) -2 (c) 2/7 (d) -7 a What is the closest to 1/4 in 1, 1.26, -0.3, 3? -0.3 Which is the closest to 1? (a) -3 (b) 0.2 (c) 2191 (d) 0 b What is the closest to -2532 in 3, 2, -0.09? -0.09 What is the closest to -673 in -1/2, 2/3, -0.4, -3? -3 What is the nearest to -0.073 in -1, 7966, -3? -1 What is the nearest to 2 in -2/111, 0.5, 2/9, -0.3? 0.5 What is the closest to 2 in 199, -0.5, -5, -9, -4? -0.5 What is the closest to 2 in 0.05, -2963, -5? 0.05 What is the nearest to -3/2 in 1, -9.3, -0.163? -0.163 Which is the nearest to -0.1? (a) -14/3 (b) -0.2 (c) 3/8 (d) -2/153 (e) -2/29 e Which is the nearest to 0.1? (a) -2/17 (b) -3/8 (c) 55/12 (d) 4 a Which is the closest to 6? (a) 0 (b) -3/2 (c) 3 (d) -7/10 (e) 1 c What is the nearest to 3 in -94, -1, 183, -0.4? -0.4 Which is the closest to 180? (a) -0.2 (b) -1/7 (c) 21/2 c Which is the closest to 2? (a) 3 (b) 0.6 (c) -1 (d) 70/11 a Which is the nearest to -2/7? (a) 99 (b) 1 (c) 0.95 (d) -5 c What is the closest to 5.49 in -11, 15, -2/17? -2/17 Which is the nearest to 0.1? (a) -4/17 (b) -835 (c) 0.4 (d) 1 (e) -3 c Which is the nearest to -13/7? (a) 0.1 (b) -35 (c) -3 c Which is the closest to -1/3? (a) -1/3 (b) 0 (c) -7 (d) -2/37 a What is the closest to 0.01 in -0.18, -3/16, 4? -0.18 What is the nearest to 2 in -53, -2/7, -0.242? -0.242 Which is the closest to -2? (a) -6/5 (b) 3/7 (c) -14 (d) -1 a What is the closest to 3/17 in 2, -2/23, -6521? -2/23 Which is the nearest to 2/19? (a) -1 (b) 1 (c) 951 b Which is the nearest to 0.1? (a) -2/827 (b) 0.01 (c) 0.2 (d) -2 b Which is the nearest to 2/5? (a) -3.93 (b) 5 (c) 0.3 (d) -0.1 c Which is the closest to -203/20? (a) 1 (b) -1 (c) 0.3 (d) 2 b Which is the nearest to -26? (a) 0.5 (b) 2 (c) -2/15 (d) 6.8 c Which is the nearest to 2/13? (a) -0.3 (b) 0.3 (c) 2/73 (d) -0.2 c What is the nearest to 0.2 in -1, 172, -0.2028? -0.2028 What is the nearest to 5 in 2, -17, 0, -0.4, 0.05? 2 What is the nearest to 0 in -3.1, -0.29, 3, 0.5, 8? -0.29 Which is the closest to -4? (a) -1/3 (b) 8/3 (c) -51 a Which is the closest to -79? (a) -2/3 (b) -2/13 (c) 0.01 a Which is the nearest to 35? (a) 47 (b) 3/2 (c) 2 (d) 6 a Which is the nearest to 5? (a) -2/3 (b) -3/4 (c) -0.5 (d) -1.8 (e) 0 e What is the closest to -4 in -0.131, -2.42, -4, 1/9? -4 What is the nearest to 0.2 in -0.4, -18038, 1/7, 2, 2/13? 2/13 Which is the closest to -5/4? (a) -1 (b) 6 (c) -0.1 (d) 2/9 a What is the nearest to 1/2 in 51/5, -1/6, -1/13, -4? -1/13 Which is the nearest to 0.2? (a) 550 (b) 4 (c) -5 b Which is the closest to -0.12? (a) -6 (b) 1/4 (c) -0.4 (d) 1 c Which is the nearest to 8? (a) 0.4 (b) -6 (c) 2/21 a What is the nearest to 1.3 in 944, -3/2, 3? 3 Which is the nearest to -0.3? (a) 1 (b) 21/2 (c) 1/6 (d) 2/21 (e) -3/4 d What is the nearest to -22 in 0.94, 2/3, 2/33, 2? 2/33 Which is the closest to 1? (a) 0.3 (b) 1.1 (c) -3 (d) -12 (e) 1 e Which is the closest to 2? (a) 1/5 (b) -0.3 (c) 108 a Which is the nearest to -1? (a) 2 (b) 0.4 (c) -2126 (d) -5 b Which is the closest to -0.1? (a) -0.2 (b) -1/7 (c) 231.386 b Which is the nearest to 9? (a) 0.1 (b) 0.01 (c) -2/17 (d) 2.5 (e) 1 d What is the closest to 0.06 in -4, 2/13, 5, -2/1523? -2/1523 What is the nearest to 2 in -0.4, -11/3, 0.2, -4.43? 0.2 Which is the nearest to -10/3? (a) -4 (b) 0.045 (c) -2/5 a What is the closest to -13 in 126, -4, 46? -4 What is the nearest to 0 in 2, -16, -1, -4? -1 Which is the nearest to 1? (a) 2421 (b) -1 (c) 5/2 c Which is the closest to -2490? (a) 3 (b) 5/4 (c) -1/6 (d) 0 (e) 3/5 c Which is the closest to -0.2? (a) -4 (b) -11/2 (c) -0.09 (d) -34 c Which is the closest to -1? (a) -6/7 (b) -37667 (c) -4 a Which is the nearest to -1.8? (a) 2/23 (b) -5 (c) -23/6 a Which is the closest to -0.03? (a) 5 (b) -63 (c) 0.02 (d) 0.2 (e) 4 c What is the nearest to 71 in 3/4, -4, -1/5, 5? 5 Which is the nearest to -2? (a) -1.1 (b) -2/41 (c) -0.2 a Which is the closest to -0.1? (a) -3 (b) -9 (c) 601 (d) -2 d What is the closest to 1.4 in -64, 3.1, 7? 3.1 What is the closest to 65.5 in 1, 0, -7? 1 What is the nearest to 2/37 in -3, 0, -216/13? 0 What is the closest to -1/2 in 47, 3, 151/4, 0.4, 3/5? 0.4 Which is the nearest to 2/7? (a) 0.3 (b) -0.1 (c) -1 (d) -19 (e) -36 a What is the closest to -2 in 11/7, 0.2, 1/11, 0.08, 0.4? 0.08 What is the nearest to -1 in 1/5, -28/3, 2/9, -2/17, 4? -2/17 Which is the closest to -1? (a) -0.2 (b) -1/2 (c) 3 (d) -0.022 (e) 5 b What is the closest to -1 in -7, -54/17, 4/3? -54/17 Which is the closest to 0.1? (a) 0.4 (b) 4 (c) 0.1 (d) -28.5 c What is the nearest to 5 in 11, 2, 4, 0.1? 4 What is the closest to -4/9 in -1/6, 0, -2/101, -1/2? -1/2 Which is the closest to -1? (a) -19 (b) 0.1 (c) 4 (d) 20 (e) -0.07 e Which is the nearest to 7? (a) -1.17 (b) 17.3 (c) 0.2 c What is the nearest to -1 in 13, -20, -1/3, 0.28? -1/3 What is the nearest to 72 in 0, 2, -0.06? 2 What is the nearest to -2 in 3, 1/113, 72, -92? 1/113 What is the nearest to 3 in -1/5, -4, 6, -1/8, -0.5? 6 What is the closest to 5 in 0.3, -18/19, 5, 0, 3/8? 5 Which is the nearest to 1? (a) 1 (b) 1575 (c) -5 (d) 5 a Which is the closest to 0? (a) -4 (b) 1 (c) 0 (d) 71 (e) -12 c What is the closest to 1219 in 2/55, -2/9, 1.1, -0.1, 3? 3 What is the nearest to 1.5 in 0.1, -1/2, 0.2, 1, -2/3? 1 What is the nearest to -1/2 in -0.2, 4/11, 4? -0.2 What is the closest to 1 in 5, -145, -1, 1/18? 1/18 Which is the nearest to -1.1? (a) 0.1 (b) 5 (c) -0.27 (d) 0.2 (e) -17 c Which is the closest to -2? (a) 2.7 (b) -2 (c) -7 (d) -3 b What is the nearest to -58 in -0.2, -114, -0.3? -114 Which is the closest to 1.83? (a) -2/9 (b) -2 (c) 3/2 (d) -0.4 c What is the nearest to -264925 in 5, 3, -1? -1 Which is the closest to -0.16? (a) 7 (b) -233 (c) 2 (d) 1 d What is the closest to -0.1 in 10, 9.84, 0.4, 0.01, -0.3? 0.01 What is the nearest to -261 in 1, -0.95, -2/9? -0.95 Whi
{ "pile_set_name": "DM Mathematics" }
nd derivative of -z**3/6 + 40*z. Let a(n) = 3*s(n) - 3*y(n). Let l(v) = -7*v**2. Calculate a(l(b)). 147*b**4 Let q(i) = i**2 - 3*i. Let y(r) = -16*r**2 + 34*r. Let o(g) = 68*q(g) + 6*y(g). Let z(x) = 2*x**2. Give z(o(a)). 1568*a**4 Let d(c) be the first derivative of -5*c**2 + 1. Let f(m) = 11*m + 3. Let i(q) = -8*q - 2. Let r(a) = -2*f(a) - 3*i(a). What is r(d(v))? -20*v Let z(r) = 30*r. Let l(f) = 39*f**2 - 72*f**2 + 19*f**2. What is l(z(o))? -12600*o**2 Let j = -5 - -8. Let o(s) = -6*s + j*s + s. Let m(c) = 3*c - 592*c**2 + 590*c**2 - 3*c. Calculate o(m(r)). 4*r**2 Let t(k) = 6*k. Let p = 74 + -76. Let r(l) = -7*l + 2. Let c(z) = z - 1. Let f(m) = p*c(m) - r(m). Determine t(f(n)). 30*n Let u(b) = 6*b. Let v(x) = x**2 - 14*x + 44. Let t be v(11). Let l(z) be the second derivative of 0*z**2 - t*z - 1/12*z**4 + 0 + 0*z**3. Determine u(l(w)). -6*w**2 Let z(i) = 5*i**2. Let c(a) = -4*a - 217671. Determine c(z(q)). -20*q**2 - 217671 Let y(a) = -5*a**2. Suppose 0 = 29*v - 23*v - 18. Let f(z) be the second derivative of 1/4*z**4 + 6*z + 0 + 0*z**2 + 0*z**v. Calculate y(f(n)). -45*n**4 Let p(j) = -3*j. Let o(b) be the third derivative of -b**7/315 - 47*b**4/24 - 44*b**2. Let x(c) be the second derivative of o(c). Calculate p(x(d)). 24*d**2 Let g be 42/(-4) - 3/6. Let s be (6/8)/(g/(-44)). Let q(o) = 0*o + o - s*o - 3*o. Let b(t) = -t. Determine b(q(x)). 5*x Let t(d) = 29*d**2. Let b(c) = -8*c - 16*c + 21*c. Calculate t(b(s)). 261*s**2 Let x(m) = m**2. Let h(d) = 416532*d**2. What is x(h(b))? 173498907024*b**4 Let u(q) = 23*q**2 + 17*q. Let t(k) = 8*k**2 + 6*k. Let o(d) = 17*t(d) - 6*u(d). Let y(r) = -21*r**2 + 2*r. Calculate o(y(b)). -882*b**4 + 168*b**3 - 8*b**2 Let a(d) = 2*d**2 - 6. Let n(b) = -1. Let t be (-4152)/10 - 48/60. Let k be t/(-72) + (-2)/(-9). Let j(s) = k*n(s) - a(s). Let v(h) = -14*h. What is j(v(r))? -392*r**2 Let m(r) = 4*r**2 - r - 1. Let j be m(1). Let x(z) = 2820 - 2*z**j - 2820. Let a(u) = 78*u. Calculate x(a(y)). -12168*y**2 Let g(t) be the first derivative of 2*t**3/3 + 37. Let z(y) be the third derivative of 0*y + 0*y**3 + 0 + 1/12*y**4 + 2*y**2. Calculate z(g(r)). 4*r**2 Let v(i) = 378*i**2. Let l(p) = -1253*p. What is v(l(a))? 593463402*a**2 Let l(i) = 16*i. Let y(p) = 233*p - 35. What is y(l(s))? 3728*s - 35 Let i(c) be the third derivative of c**4/4 + c**2. Let q(y) = 7*y - 10. Let r(g) = 135*g - 195. Let j(d) = 78*q(d) - 4*r(d). What is j(i(z))? 36*z Let b(x) be the first derivative of 14*x**3/3 - 5*x**2/2 - 405. Let o(r) = 2*r. What is b(o(g))? 56*g**2 - 10*g Let d(l) be the third derivative of -49*l**5/60 - 127*l**2. Let n(g) = 2*g. What is d(n(j))? -196*j**2 Let r(j) = -126*j**2. Let w(p) = 48*p - 5. Let b(l) = -11*l + 1. Let k(a) = 5*b(a) + w(a). What is r(k(v))? -6174*v**2 Suppose 16 = 4*a, -4*r + 48 = 4*a - 0*a. Let h(z) = -510*z + 510*z + r*z**2. Let y(k) = k. Determine y(h(c)). 8*c**2 Let c(d) = 0 + 0 + 2*d + 3 - d. Let s(g) = -3*g - 8. Let o(j) = 8*c(j) + 3*s(j). Let k(b) = -4*b**2 + 1. What is o(k(n))? 4*n**2 - 1 Let c(y) be the first derivative of 28*y**3/3 + 56. Let t(i) be the third derivative of -i**4/12 - 2*i**2. What is c(t(m))? 112*m**2 Let t(g) = -g + 4. Let j(b) = -b. Let a(n) = 6 - 6*n - 15 + 5 + 7. Let p(k) = a(k) - 5*j(k). Let i(z) = 4*p(z) - 3*t(z). Let l(h) = 17*h. Determine l(i(u)). -17*u Let w(o) = 2*o. Let f be 1/2*-2 + 5. Suppose 0 = -3*q - 4*r + 32, -f*q - 10 = 2*r - 36. Let t(x) = x**2 + 4*x - q*x + 0*x. Calculate w(t(k)). 2*k**2 Let q(s) = 325*s**2 + 143*s + 143. Let z(k) = 9*k**2 + 4*k + 4. Let l(h) = 4*q(h) - 143*z(h). Let a(y) = -10*y**2. Give l(a(i)). 1300*i**4 Let i(y) = y. Let z(l) be the first derivative of -8*l**2 + 3892*l - 3892*l - 15 + 63. Give i(z(g)). -16*g Let z(s) = -2*s**2. Let l(y) = 0 - 20*y + 0 - 19*y. Give z(l(u)). -3042*u**2 Let a(r) be the second derivative of -13*r - 1/12*r**4 + 0*r**3 + 0*r**2 + 0. Let m(t) = 59*t**2. Calculate a(m(o)). -3481*o**4 Let q(i) = i**2 - 13*i + 24. Let w be q(11). Let y(s) = s**2 + 0*s**w - 2*s**2 + 6*s**2. Let m(d) = 2*d. Calculate m(y(b)). 10*b**2 Let p(x) = 6*x**2. Let b(i) = -3*i**2 + 12092. Calculate b(p(s)). -108*s**4 + 12092 Let w(x) = -250*x**2. Let n(b) be the second derivative of b**3/6 + 25*b + 6. Give n(w(m)). -250*m**2 Let z(f) = -2*f + 2181. Let m(a) = 22*a. What is z(m(q))? -44*q + 2181 Let f(m) = -65*m**2 + 11*m + 22. Let x(b) = -6*b**2 + b + 2. Let v(t) = 2*f(t) - 22*x(t). Let r(k) = k - 19. What is r(v(j))? 2*j**2 - 19 Let u(i) = i**2 - 2*i - 8. Let h(b) = 5*b**2 - 9*b - 36. Let v(c) = -2*h(c) + 9*u(c). Let a(k) = -2 - 28*k**2 - k + k. What is v(a(g))? -784*g**4 - 112*g**2 - 4 Let c(t) = 6*t**2. Let q(n) = -2*n**2. Suppose -4*i = -0*i - 20. Let d(l) = i*q(l) + 3*c(l). Let m(p) = 4*p**2. What is m(d(u))? 256*u**4 Let b(n) = -363*n. Let o(l) = 3*l**2 - 4*l + 8. Let p(r) = r**2 - r + 2. Let z(k) = -o(k) + 4*p(k). What is z(b(m))? 131769*m**2 Let r(x) = -18*x**2 - 5. Let i(b) = -857*b. Give i(r(f)). 15426*f**2 + 4285 Let u(s) = 2*s**2. Let l(o) = 19273*o. Give l(u(j)). 38546*j**2 Let q(g) be the second derivative of g**5/30 - 7*g**2/2 - 11*g. Let p(r) be the first derivative of q(r). Let a(j) = 4*j**2 + 1 + 2 - 3. Calculate a(p(l)). 16*l**4 Let s(p) = -10856*p. Let l(n) = -2*n. Determine s(l(t)). 21712*t Let w(s) = 22*s**2. Suppose 0 = 3*n - 3, y - 41 = -5*n + 7. Let i(j) = -y*j**2 + 17*j**2 + 25*j**2. What is w(i(k))? 22*k**4 Let y be 0*1/(-6 - (-10)/5). Let h(o) be the third derivative of y*o**3 - 1/30*o**5 + 0 + 0*o**4 + 11*o**2 + 0*o. Let a(t) = -3*t**2. What is h(a(n))? -18*n**4 Let p(c) = 4*c. Let z(k) = 7 - 3*k - 11 + 1 - 4*k**2. Suppose -3*h + 12 = h. Let s(b) = -7*b**2 - 5*b - 5. Let a(j) = h*s(j) - 5*z(j). What is a(p(w))? -16*w**2 Let s(n) = -2*n**2 + 5*n. Let u(i) = -14*i + 2*i**2 + 11*i - 3*i. Let y(g) = -6*s(g) - 5*u(g). Let k(c) = -14*c + 1. Calculate y(k(o)). 392*o**2 - 56*o + 2 Let n(f) = 4*f. Let d(q) be the first derivative of 0*q - 1/2*q**2 + 11. Calculate d(n(r)). -4*r Let n(q) = 35*q**2 - 19*q. Let v(h) = 2*h**2. Determine n(v(y)). 140*y**4 - 38*y**2 Let f(h) = 108*h + 6. Let a(n) = 2*n**2 - 6*n - 2. Let m(q) = 4*q**2 - 9*q - 3. Let j(p) = -3*a(p) + 2*m(p). Calculate j(f(u)). 23328*u**2 + 2592*u + 72 Let b(n) = -11*n. Suppose 8*d - 333 + 309 = 0. Let l(q) be the third derivative of 1/12*q**4 + 0 + 0*q + 0*q**d + 5*q**2. Determine l(b(c)). -22*c Let a(q) = -33 - 38 + 72. Let i(b) = 2*b + 2. Let f(s) = 2*a(s) - i(s). Let o(n) = -3*n**2. What is f(o(h))? 6*h**2 Let n = -8 + 11. Let m(v) = 2*v + 4. Let y(a) = -2*a - 3. Let g(i) = n*m(i) + 4*y(i). Let c(b) = -5*b**2 - 6*b**2 + 5*b**2. Determine g(c(s)). 12*s**2 Let y(z) = 10 + 7*z - 10 - 6*z. Let f(p) = -16*p. Determine f(y(i)). -16*i Let i(l) = l**2. Let n(z) = 124*z - 2. Give n(i(y)). 124*y**2 - 2 Let m(u) = -u + 12. Let z(i) = -10*i**2 + 12*i**2 - 6*i**2. What is m(z(d))? 4*d**2 + 12 Let j(m) = -m**2 + 7. Let k(h) = h**2 - 463*h - 28. Let p(c) = -4*j(c) - k(c). Let s(i) = i. Determine p(s(d)). 3*d**2 + 463*d Let h(k) = 2*k. Let q(u) = 39*u**2 - 4*u. Let m(c) = 1519*c**2 - 155*c. Let b(d) = -4*m(d) + 155*q(d). Calculate b(h(r)). -124*r**2 Let b(a) = 2*a. Let z be b(0). Suppose -5*t + 0 + 25 = z. Let l(f) = -5*f - t*f + 13*f. Let m(n) = -2*n**2. What is m(l(d))? -18*d**2 Let u = 7 - -2. Let o be 378/20 - 4/(-40). Let b(n) = -u*n + o*n - 11*n. Let g(c) = 5*c. Determine g(b(v)). -5*v Let c(o) = 5*o**2. Let w(s) = 12905*s**2. Calculate c(w(h)). 832695125*h**4 Let h(n) = -n**2. Let p(c) = 823732*c - 2. Calculate p(h(s)). -823732*s**2 - 2 Let z(y) = 12*y**2 + 8*y**2 + 1 - 1 - 18*y**2. Let h(f) = -190*f**2. What is h(z(v))? -760*v**4 Let w(o) = 96*o**2. Let r(a) = 348*a**2 - 7*a. Determine r(w(t)). 3207168*t**4 - 672*t**2 Let r(m) = -5*m. Let p(u) = -2*u**2 + 113. Calculate p(r(v)). -50*v**2 + 113 Let s(v) = 481*v. Let l(p) = -10*p. Let j = 5 + -11. Let z(g) = j*s(g) - 286*l(g). Let b(k) = k. What is z(b(h))? -26*h Let j(d) = 2*d**2. Let n(t) be the third derivative of -11*t**5/60 + t**4/12 + 75*t**2. What is j(n(l))? 242*l**4 - 88*l**3 + 8*l**2 Let z(q) = 6*q. Suppose 2*h - 15 = 5. Let a(x) = -18*x + h*x + 7*x. Give a(z(v)). -6*v Let h(k) be the first derivative of 5*k**2 + 2. Let v(q) = -56 + 154 + q - 43 - 55. Calculate h(v(g)). 10*g Let f(j) = 3*j + 42.
{ "pile_set_name": "DM Mathematics" }
of (-6)/17*-2*(-8)/(384/16)? -4/17 What is ((-429)/(-275)*5)/(66/(-660))? -78 Evaluate ((-3633)/2422)/((-45)/(-100))*(174/(-4))/1. 145 What is the value of 15/5*(-1176)/504? -7 What is ((-8)/(-5)*-6)/(924/5460*13)? -48/11 Evaluate ((10/2)/(-15)*(-4)/(-9))/(5586/2793). -2/27 What is 4009/(-473062)*1*-4? 2/59 Calculate ((1090/218)/((-385)/(-2)))/((-4)/(-7)). 1/22 (8/(-768))/(((-299)/23)/(-26)) -1/48 Evaluate (12/(-4))/((-162)/135)*(-7)/(175/190). -19 What is (-56550)/16965*2/35? -4/21 (-77*(-339)/234927)/(((-1)/6)/((-2)/(-172))) -1/129 What is the value of ((-9)/(-48)*8)/(((-485)/150)/(-97))? 45 Evaluate 50/(-24)*((-3)/(-10))/((-90)/60). 5/12 Evaluate (-3598)/(-18504)*24/(-3). -14/9 Evaluate (-2040)/10115*17*6/4. -36/7 What is (78/(-65))/(24/1920*-36)? 8/3 Evaluate (((-24)/42)/(6/42))/(3*36/3699). -137 What is ((1464/48)/(-61))/(-7)? 1/14 Evaluate ((-1375)/(-110))/25*(24/3)/4*141. 141 Calculate ((-3)/(-15))/(84/(-560))*93/5518. -2/89 Evaluate ((-4)/6)/((-575)/(-9))*(-596315)/357789. 2/115 Calculate (-854)/(-549)*36/406. 4/29 What is the value of (48/(-56))/(122/4270)? -30 ((-115)/46)/((-2)/(-20)) -25 (1/3)/((-6)/(-54)*4)*692/1557 1/3 152/133*756/(-144)*2/12 -1 Calculate ((171/380)/((-6)/(-340)))/((-3)/(-4)). 34 (11*(-4)/(-3344))/((-17)/(-34)*2/12) 3/19 (5*2/(-15))/((-63)/(-6)*(-480)/105) 1/72 Calculate (679/(-28))/((-8)/32)*-1. -97 Evaluate (432/504)/(2/21*-12). -3/4 What is ((-17040)/79800)/142*-245? 7/19 Calculate ((-946)/770)/(-43)*-3. -3/35 Calculate ((-18)/12*4*(-11)/198)/(2/132). 22 Evaluate (3920/(-1365))/14*13/(52/6). -4/13 Evaluate -1*((-18)/56)/(((-624)/(-280))/(-13)). -15/8 (-26)/1911*-21*14/150 2/75 Calculate (-66)/((-25872)/(-56))*1988/(-4). 71 ((-5804)/11608)/(39/4) -2/39 Evaluate (62972/123695)/((-24)/(-44)). 14/15 What is the value of (70725/2829)/((30/(-16))/(-3))? 40 (-10)/(((-5)/21)/(((40/12)/(-5))/(-2))) 14 What is (-8)/94*(14456/416)/139? -1/47 Evaluate 2*(-1*126/(-8))/((-85)/5610*99). -21 What is 360/(-48)*(-160)/(-80)? -15 What is the value of (1*(-1)/4)/((6/(-30))/((-9)/90))? -1/8 What is the value of (-60)/324*3*(-84)/(-98)*308/(-10)? 44/3 Calculate 14/36*(60/154)/((-1088)/2992). -5/12 Evaluate (2*(-1)/36)/((-4868)/1774386). 81/4 What is (12/10)/(12/(-75))*(-1092)/210? 39 Calculate ((-3591)/42)/57*(-312)/12. 39 What is the value of (-4)/(-55)*1*((-528)/224)/(-3)? 2/35 What is (41/((-123)/(-38)))/((-128)/(-48))? 19/4 (2*(-3)/(27/(-6)))/(37/(333/(-4))) -3 Calculate (-277)/((-30193)/1090)*16/(-5). -32 ((-16352)/3504*(-6)/70)/(12/(-70)) -7/3 What is the value of ((-12)/(-140))/(66/(-4576)*52)? -4/35 (39641/(-1618))/((-4)/(-2)) -49/4 Calculate (-7477)/(-82247)*132/5. 12/5 Calculate 154/20*780/3432*-13*8/2. -91 What is the value of 20/(-5)*338618/(-4332)*3/(-14)? -67 What is the value of ((-80)/12)/2*476/1190? -4/3 219*77/(847/55)*1/15 73 Calculate ((-5763384)/(-682506))/((-9)/(-6)*8/9). 19/3 Calculate (12/(-4))/(7/(-7)*12/68). 17 What is (-13)/(-39)*12/188? 1/47 Calculate ((-10)/2)/((1/(-3))/((-368)/(-368))). 15 Calculate (22*3/330)/((-4)/(-330))*6/9. 11 (9/(-45))/(-8*(-26)/(-624)) 3/5 ((-280)/(-320))/(6/(-36))*4/9 -7/3 What is the value of 21/102*2678/(-309)*2/(-91)? 2/51 What is (6*25/(-1500))/(59/177)? -3/10 Evaluate ((-30)/24)/(3399/7416). -30/11 Calculate 5346/108*(-2548)/(-1078). 117 Evaluate (1*(-1)/(-1*3))/(69955/209865). 1 Calculate (-7)/3*90/(-6195). 2/59 (((-1855)/(-106))/(-35))/((-47)/(-8)*-2) 2/47 Calculate 40172/7986*693/(-42). -83 What is (((-21708)/1539)/(-67))/(-2)? -2/19 ((-54)/(-180))/((-8)/108*549/(-610)) 9/2 What is the value of (-6*9)/3*9/(-21)*3045/(-261)? -90 Calculate (20/(-12)*192/1120)/(512/(-28)). 1/64 Evaluate 1/(4/(-96)*2*-6)*690/60. 23 ((-9490)/78)/((-105)/(-63)) -73 What is (5/(-2025))/((-157)/2826)? 2/45 ((-4)/(-8)*(-114)/(-76)*-4)/(1/27) -81 Calculate (-3)/(-12)*3*(-2508)/33858. -1/18 What is 12/(-45)*3/9*1404/(-1560)? 2/25 Evaluate 8/6*50/660*36/2640*-11. -1/66 ((15/8)/3)/((-583)/1590*(-70)/616) 15 ((-12)/32*2)/((22/110)/((-256)/30)) 32 ((-576)/9)/(-128)*-58 -29 (-1848)/(-70)*200/120 44 (-14)/(-52)*370188/(-398664) -1/4 Evaluate (-720)/(-90)*25/20*(-2)/6. -10/3 Evaluate ((2/10)/((-3419)/7890))/((-12)/(-4)). -2/13 What is (-1)/(((-132)/(-12))/22)? -2 What is 2/(-108)*((-1224)/18)/(-34)? -1/27 Calculate 1/1*90/(-48)*(-2544)/530. 9 Calculate 136/867*41/(984/(-18)). -2/17 What is ((-132)/(-55))/(5/((-1350)/(-81)))*(-1)/(-10)? 4/5 Evaluate (7*1*1)/((-99491)/170556). -12 ((1480/40)/74)/((-144)/27) -3/32 ((-2590)/(-1554))/((-30)/(-3)*1/(-72)) -12 What is (2716/140*-2)/(50/125)? -97 (2/6)/((-450)/(-38475)*3/(-2)) -19 Evaluate 4/1*-72*(-88)/(-396). -64 What is the value of ((20564/485)/((-42)/15))/(2/7)? -53 Evaluate (9*17/(-918))/((-118)/4)*3. 1/59 Evaluate ((-2)/(-40)*-12*(-105)/(-126))/(4/464). -58 What is the value of (-10)/(-2)*((-4242)/30)/(-7)*(-17)/17? -101 Evaluate 6/435*-23*110/506. -2/29 -3*((-268)/(-201))/((-15)/(-9)) -12/5 Evaluate (1/((-1)/(-3)))/(26496/2944)*87/(-1). -29 Calculate ((-6)/(-1)*505/31815)/(10/(-135)*-30). 3/70 What is the value of (29596/(-38052))/(329/(-54))? 6/47 What is the value of (46*(-3)/18)/(42/126*5)? -23/5 340/(-105)*(-24)/144*63 34 What is (7/(-2))/(-15*1400/(-780000))? -130 11094/(-36980)*95/3 -19/2 Calculate (-9*11/(-6))/(17*495/2244). 22/5 216/648*-6*(-3)/(-78)*-14 14/13 Calculate (((-3)/42)/((-53)/742))/((24/(-28))/6). -7 Evaluate (30/(-35))/((30/252)/(260/117)). -16 -70*(-210)/780*24/(-84) -70/13 What is the value of (-14)/(-516)*(6940/(-7287))/((-25)/15)? 2/129 What is (2165/(-2598))/(25/(-40)*-2)*24? -16 What is (790/(-240)*3)/(119/(-238))? 79/4 What is the value of (66/10)/((-168)/8*(224/(-105))/(-32))? -33/7 (28/56)/(205/1804*(-6)/(-10)) 22/3 What is ((-18)/(-36))/(((-6655)/(-13530))/(-121))? -123 What is the value of 149260/15365*14/(-2)? -68 What is the value of (((-3)/1)/(-42*32/448))/23? 1/23 Calculate (-459)/34*(-96)/(-72). -18 ((-7)/(-1400)*450)/(5/(110/(-6))) -33/4 Evaluate (3688/2305)/(3/(60/(-8))). -4 What is (((-162)/(-180))/1)/(327/2180)? 6 What is (((-24)/(-185))/(-4))/((-18396)/(-4380))? -2/259 7/(49700/(-800)*4) -2/71 Evaluate (-330)/22*(2/3)/(560/252). -9/2 Evaluate (-36)/(-36)*((-3)/(-6))/((-4)/((-1520)/(-10))). -19 Evaluate 3*1/18*-20*7/(-175). 2/15 What is the value of (3552/(-176))/((-200)/1100)? 111 What is the value of (480/880)/(150/7150)? 26 What is ((-25764)/(-608))/(-113)*5? -15/8 What is the value of 1283/(-46188)*2*-10? 5/9 What is (((-3)/11)/(-3))/((-86)/2193*-102)? 1/44 What is 122/671*33/252*8? 4/21 Evaluate (-1260)/(-70)*48/384. 9/4 What is the value of (11*(-40)/(-110))/(42/12*2/1)? 4/7 ((-8)/(-26))/(4358/(-45759)) -42/13 Calculate 56/(((-253)/2530)/((-9)/(-105))). -48 What is the value of 15/(-96)*(5248/(-480))/(-41)? -1/24 Calculate (((-2520)/1134)/((-3)/27))/((-4)/(-2)). 10 Calculate ((-72)/(-1764))/(2/(-112)). -16/7 What is (((-6)/2)/((-14910)/(-710)))/1? -1/7 What is ((-54)/21)/(42/392*-4)? 6 Evaluate (-3)/((-9)/(-8))*((-3)/(-2))/(1125/450). -8/5 Evaluate (20460/2170)/(88/112). 12 Calculate 1225/210*2268/(-315). -42 What is ((-5187)/84)/((3003/(-44))/21)? 19 Calculate (-5*14410/825)/(11/((-132)/8)). 131 Evaluate 3*(-8)/42*186/(-24)*(-7)/(-7). 31/7 What is ((-13)/91)/(242*28/(-784))? 2/121 What is 532/(-16)*(-2736)/1197*1/(-4)? -19 Evaluate 15/(-99)*((-1548)/(-215))/2. -6/11 What is the value of (-180)/(-40)*((-77)/(-693))/(1/30)? 15 5*(-3)/(-85)*(-114)/(-513) 2/51 What is the value of (132/2090*14/84)/((-1)/(-20)*2)? 2/19 Calculate ((81/9)/18)/(1/(-5))*(-62526)/3065. 51 Evaluate (4/5)/(12400/1500). 3/31 What is ((-193)/(9650/(-20)))/((644/5)/7)? 1/46 What is ((-15750)/(-13125))/((4/102)/((-10)/9))? -34 Evaluate (-2)/(-4)*((-20)/(-25))/((-14)/(-105))*14. 42 What is the value of (2/(-36))/(4/(672/28)*4)? -1/12 What is (((-3)/(-36)*13)/(388/(-1164)))/(3/24)? -26 Calculate (-14)/(-20)*(-139740)/11508. -17/2 (-4)/(-24)*((-91)/((-101010)/(-54)))/(1/5) -3/74 1365/(-45)*(-465)/(-10075) -7/5 What is 320/(-48)*69/46? -10 What is the value of 12/(-35)*(-7)/2*45/1809? 2/67 Calculate ((-252)/(-56))/(29/(30160/(-78))). -60 What is 60/(-6)*2*8/(608/57)? -15 Evaluate (-7)/(168/(-9))*15/((-3240)/(-16)). 1/36 ((-195)/3)/(((-877)/25433)/((-2)/29)) -130 Calculate (-846)/24*((432/(-84))/(-6))/(9/(-14)). 47 What is the value of (-15
{ "pile_set_name": "DM Mathematics" }
3/(-6). Let x be 2/(3/6 - m). Solve x*c = c for c. 0 Suppose a = -t + 35, 5*t - 2*a - 196 = -0*t. Suppose -2*m + 0*m + t = 0. Solve 5*k - 4 = -m for k. -3 Let h = -32 + 40. Solve 5*f = f + h for f. 2 Suppose 2*c = 38 + 26. Let n be 2/(-7) + c/14. Suppose -2*f + n = -5*a - 5*f, -14 = 3*a + 5*f. Solve -a*t + 4*t = -4 for t. -2 Let p = 107 + -107. Solve 0 = -p*c - 2*c for c. 0 Suppose 2 = i - 0. Solve 8 - i = -3*n for n. -2 Let w be (7/4)/((-2)/(-8)). Suppose -5*j + 3*c = -13, w = j + j - 3*c. Solve 3*l - j - 4 = 0 for l. 2 Let s(i) be the first derivative of i**4/4 - 7*i**3/3 + 9*i**2/2 - 3*i + 1. Let x be s(6). Solve -x + 3 = 3*w for w. -4 Let o = 3 - -2. Let h = 20 + -20. Suppose -a - 3*a + p - 5 = h, a + p - o = 0. Solve a - 5 = n for n. -5 Let l(k) = -4*k + 1. Let g be l(2). Let c = 10 + g. Solve -c*m + 0*m + 15 = 0 for m. 5 Let d(p) = -p**2 + p + 1. Let t be d(-2). Let i = t + 9. Solve -i*v + 20 = -0 for v. 5 Let p = 22 - 21. Solve 3*i + 5 = -p for i. -2 Suppose n - 4 - 3 = 0. Suppose g + 32 = 3*g. Let t = g - n. Solve 4 - t = -f for f. 5 Suppose -6 = -6*p + 7*p + 3*h, 4*h + 8 = -5*p. Solve 5*q = -p*q for q. 0 Suppose 3*o - 16 = -1. Suppose o = 2*r - 1. Suppose -x - 2*v + 8 = 0, -4*x + x + 21 = r*v. Solve -2 = -p - x for p. -4 Let p be 7 + (-286)/77 + (-4)/14. Solve -p = 2*o - 1 for o. -1 Let y(f) = -f**2 - 5*f + 6. Let b be y(-5). Suppose 3*z = -w + b*w + 13, 5*w = -5*z - 5. Solve -3*n + 13 = z for n. 4 Let b(m) = m**3 - 33*m**2 + 33*m - 32. Let i be b(32). Solve 4*q = -i*q for q. 0 Suppose 36 = 4*x + 5*f, 2*x - 2*f - 18 = f. Let o be (-32)/(-6) - (-3)/(-9). Suppose 0 = o*a - t - 1, -2*a + 5 = 2*t - 5. Solve 2*k + a = x for k. 4 Suppose 3*z - 30 = 9*z. Suppose 3*r - 7 - 20 = 2*g, -2*g + 8 = 2*r. Let p = z + r. Solve -5 - 5 = p*k for k. -5 Let h = -5 - -10. Let r be 3/(1/(14/3)). Suppose -5*s - v - 3*v = -8, -2*v = 5*s - r. Solve 3*p = s + h for p. 3 Let t be 4/(-1 - 3/(-2)). Let j(o) = o**2 + 6*o - 1. Let y be j(-7). Suppose -5*d + 5 = z, -16 = -5*d + 2*z + 4. Solve d*w - y*w = -t for w. 2 Suppose 4*p - 6 = 2*p. Let m(j) = -9*j - 4*j**3 + 4 + 7*j**2 + 5*j**p - j. Let h be m(-8). Solve 6*b - 2*b - h = 0 for b. 5 Let x = -1 - -3. Let q = x - -1. Solve f + 10 = q*f for f. 5 Let s(l) = -l**3 + 10*l**2 - l + 14. Let j be s(10). Solve -j = -4*a + 4 for a. 2 Suppose m = -4*m - 45. Let y = m - -12. Solve -5*x - 2 = -y*x for x. -1 Suppose 7 = -5*u + 2. Let k = -2 - -6. Let r = k + u. Solve 2 + 1 = -r*f for f. -1 Let s be 6/10 - (-23)/(-5). Let o be (s/10)/(3/(-60)). Solve o + 17 = -5*k for k. -5 Suppose 2*a = -a. Suppose -2*n + 20 + 16 = a. Solve 6 = -4*t + n for t. 3 Suppose -5*v + 8 = -3*y, -2*y - 4 = -5*v + 2*v. Solve -v = -3*o - 7 for o. -1 Suppose -3*d = -i - 9, 3*d - 8 = -5*i + 1. Solve 0 = -i*m - 3*m for m. 0 Suppose -7*h + 2*h - 15 = 0. Let f = 8 + h. Suppose 4 + 6 = q + 2*r, 5*r = f*q + 10. Solve i - 3*i = -q for i. 1 Let g be ((-2)/(-4))/((-3)/(-12)). Suppose 2*k + 2*a + 33 = 7*k, 18 = 2*k - 2*a. Suppose 0 = -j + 4 - 1. Solve -j*n - k = -g*n for n. -5 Suppose -y - 20 = -23. Solve -2*z + 1 = -y for z. 2 Suppose -4*y + 17 = -3*a - 0, 3*a - 8 = -y. Solve -1 - a = -g for g. 2 Suppose 3*a - 87 = -4*b, 2*a - 2*b = -7*b + 65. Solve -6*i = -i - a for i. 5 Suppose 2 = 2*k - 4. Solve -k*l = 2*l + 10 for l. -2 Let x(t) = -t**3 - 2*t**2 + 2*t. Let q be x(-3). Suppose -q*w + w = -8. Let s = w - 2. Solve -s*h + 4*h = 6 for h. 3 Let i be (-72)/(-20)*(-5)/(-2). Solve 0 = -k + 4*k - i for k. 3 Let p = 13 + -19. Let d be 3*8/p*-4. Solve 0 = 6*n - 2*n + d for n. -4 Suppose -5*y + 4 = -36. Suppose 3*n = n - y. Let a = 6 + n. Solve a*r = -6 - 2 for r. -4 Suppose i + 55 = 4*x, -4*x + 46 = 5*i - 3*i. Suppose -4*t = 1 - x. Let u(d) = d**3 + 4*d**2 - 6*d - 5. Let n be u(-5). Solve 0 = -n*o - 3*o + t for o. 1 Suppose -2*j - 14 = -5*z + 11, -3*j = -15. Let o be 12/42 + 33/z. Suppose -3*l = -5*l + 6. Solve -2*m + o = -l*m for m. -5 Let g be 2/4 - (-7)/(-14). Solve g*j = j + 1 for j. -1 Let v(y) = -y**2 + y. Suppose -3*z - i - 2 + 4 = 0, 4 = 2*z - 2*i. Let m be v(z). Solve m = -4*q + 2*q + 6 for q. 3 Suppose 2*n - 30 = 2*h, -29 + 9 = -4*n - 4*h. Suppose t + 36 = 5*r + n, -4*r + 21 = -t. Let a = 5 - r. Solve a = -0*z - z - 2 for z. -2 Let x = 29 + -13. Solve x - 1 = 3*o for o. 5 Let u(m) be the third derivative of -m**4/6 - 5*m**3/3 + 7*m**2. Let t be u(-6). Solve 3*o = -1 - t for o. -5 Let o = 3 + 2. Solve 25 = -0*f - o*f for f. -5 Suppose -s = -3, 5*a = -7*s + 5*s + 31. Suppose -d - a = -h + 3, -h - 3*d = 0. Solve 0*r + 3*r = -h for r. -2 Let j(q) = -q**2 - 8*q + 13. Let u be j(-9). Suppose -u*p - 6 = -14. Solve -7 - 3 = -p*r for r. 5 Let v be -2*-1*(7 - 0). Let g = 14 - v. Solve -2 = -2*m - g for m. 1 Suppose -12 = -4*z - 2*i, -2 - 1 = -z - 3*i. Let y be 2 + (-14)/(1 - 2). Solve z*q = -q + y for q. 4 Let z(s) = 2*s**2 - 5*s + 2. Let r be z(4). Suppose 4*t - 9 = 103. Suppose -2*y + 9*y = t. Solve y*a + r = -2 for a. -4 Suppose -4*s + 53 = 5*o, 0 - 4 = -2*s + 2*o. Let m be 12/s - 26/(-91). Solve -m*f - f = 15 for f. -5 Suppose 2*k = -3*c, -3*k + 8 = -3*c - 7. Let u be (3/c)/((-3)/8). Solve -14 = u*r + 6 for r. -5 Let j = -2 + 5. Suppose 99 = 4*k + 5*r + 84, 0 = -3*r + 9. Solve -j*l - 5 + 2 = k for l. -1 Suppose 0*i = 4*i. Suppose -2 = -z - i*z - r, -5 = 5*r. Solve -14 = z*m - 2 for m. -4 Suppose 0 = -0*a - 2*a - 4. Let f = 0 - a. Let v be -1 + (1 + f - -7). Solve -3 = -3*x + v for x. 4 Let s be 9/(2*3/4). Let q be ((-9)/s)/((-3)/8). Solve 0 = -h - 0 + q for h. 4 Let l(y) = 2*y + 22. Let n be l(-9). Solve -n = -3*b + b for b. 2 Suppose 0 = 4*h - 5 - 15. Solve -5*r - h = 10 for r. -3 Let l be (5 + -12 + 6)*-1*5. Solve 3*n - l = 2*n for n. 5 Let g(s) = 4 + 0 - 3 + s. Let h be g(4). Solve 0 = h*v - 2 - 3 for v. 1 Let u = -16 + 5. Let k = u + 16. Suppose 21 = k*f - 54. Solve 5*m = -0 + f for m. 3 Let f(b) = 3*b + 1. Let w be f(1). Let y = 6 - 2. Suppose -3*p + 2*q = -y*p + 8, 5*p - q - 18 = 0. Solve -p - w = 2*r for r. -4 Let v be 2*(-2)/(8/(-6)). Suppose -32 = -v*i - 5*b, 36 = 3*i + 3*b + 12. Let a be i/(-10) - (-4)/10. Solve a = -3*m + m for m. 0 Let h(b) = 6*b**3 + b**2 + b - 1. Let k(u) = -u**3 - 6*u**2 - u - 5. Let a be k(-6). Let p be h(a). Solve -y = p - 2 for y. -5 Suppose -7*l + 2*l + 45 = 3*n, 5*l + 2*n = 40. Let k(g) = -g + 6. Let h be k(l). Solve h*v - 8 = -2*v for v. 4 Let j(p) = p**3 - 5*p**2 + 5*p + 1. Let r be j(4). Let v(o) = 2*o - 1. Let x be v(-2). Let m = -5 - x. Solve m = 3*f - 10 - r for f. 5 Let c = 15 - 11. Let z be (-452)/(-14) - c/14. Let s be z/7 + 6/14. Solve -4 = s*n + 11 for n. -3 Let a = 1 - 10. Let l be 4*(a/4 + 3). Solve -l*i = -i - 6 for i. 3 Suppose k = 5*l - 12, 4*k + 1 = -3*l - 1. Solve -l*g - g = 0 for g. 0 Let n(u) = 3*u - 2. Let v be n(2). Let m = -12 + 15. Solve q + v = m*q for q. 2 Let u = 27 + -23. Solve u = -2*v - 6 for v. -5 Let t be (-6)/(-33) + (-62)/(-22). Suppose t*c + 2*q - 4 = 0, -c + 3*q = -0*c - 16. Solve 2*f - c*f - 10 = 0 for f. -5 Let w(m) = m + 7. Let l be w(-2). Solve -5*s = -0 + l for s. -1 Suppose -55 = -r - 4*r. Let t = 28 + -25. Suppose 7 = t*h - r. Solve d = -d + h for d. 3 Let k(c) = -c**2 - 2*c + 3. Let h be k(-3). Let y be (h - 3/(-6))*4. Let m = y + 3. Solve 0*u - m = -u for u. 5 Let n = 16 - 17. Let j = -1 - n. Solve 6*d - d = j for d. 0 Suppose 3*k + 21 = 5*r + 5, 5*r + 33 = -4*k. Let x = k - -2. Let l(t) = -2*t - 7. Let j be l(x). Solve 0 = -4*p - 5 - j for p. -2 Suppose -3*z - 18 = 5*h - 8*h, 3*h - z - 12 = 0. Solve -h*x - 6 = -0*x for x. -2 Let i be (14/(-3))/(2/(-9)). Let l be i/3 + 2*-1. Suppose 4*p = 3*c - 1, -5*c + 8*c + l*p - 19 = 0. Solve c*q = 7*q for q. 0 Suppose 4*m - 18 = -5*t - 3, -2*t - 27 = -5*m. Solve -m*s = 3 + 17 for s. -4 Let m(n) = n**2 + 6*n + 6. Let x be m(-6). Let l be -5*(-7 - (-1 + -1)). Suppose -c + 6*c + l = 0, -5*k = -5*c - 45. Solve -14 = -k*a + x for a. 5 Let j be (-14)/(-6) - (-20)/30. Solve j*v + 3 = -3 for v. -2 Let l = 3 + -3. Let k(h) = -h**2 + h. Let t be k(l). Let z(i) = -2*i + 2. Let r be z(-2). Solve t = 2*w + 2 - r for w. 2 Let g(s) = 7 + 0 + s - 7 + 4. Let y be g(-2). Solve -4*l + y - 18 = 0 for l. -4 Suppose 2*v = 4*b, 12 = b + b + 2*v. Let d(z) = -z**3 + 4*z**2 - 2*z - 2. Let y be d(2). Solve -b*c = y*c - 8 for c. 2 Suppose 0*s - 16 = -2*f - 2*s, -f = -s -
{ "pile_set_name": "DM Mathematics" }
2*n. Let d(g) be the third derivative of h(g). Give d(-3). -1 Let r(i) = i**2 - 13*i - 1. Let f(q) = 2*q**2 - 25*q - 2. Let b(m) = 4*f(m) - 7*r(m). Calculate b(5). -21 Let c(u) be the third derivative of u**6/10 + u**4/24 + 28*u**2. Determine c(1). 13 Let p be 0 + 4/(-2) + 7 + 1. Let j(w) = -w**3 + 7*w**2 - 7*w + 8. What is j(p)? 2 Let w(s) = -s**2 - 4*s + 2. Let d be w(-4). Let b(a) = -1 - 3*a - 3*a**d + 4*a**2 + 6. Give b(4). 9 Let f(h) = -h**3 - 9*h**2 - 2*h - 11. Let o(z) = -3*z + 12. Let d be o(7). What is f(d)? 7 Let y(z) = z**2 - 4. Suppose 6*j - 12 = 2*j. Let x be y(j). Let d(q) be the third derivative of -q**6/120 + q**5/10 - 5*q**4/24 - q**3 - q**2. Calculate d(x). -6 Let m(b) = -b - 1. Let x(r) = -3*r - 4. Let h be x(-5). Let d = 12 + -12. Suppose 4*q + 1 + h = d. What is m(q)? 2 Let w be -2 - (-2 - 0/(-3)). Let t = w - 3. Let s(h) = -2*h**2 - 3*h. Determine s(t). -9 Let d(y) = y + 2. Let j(m) = -m - 3. Let r(o) = -5*d(o) - 4*j(o). Let p = 24 - 11. Let c = p + -8. Give r(c). -3 Suppose -3*i - 10 - 5 = 0. Let v(j) = 6*j + 6 - 5*j + 1 - 3. Calculate v(i). -1 Let c(f) = -f - 5. Let y be c(-5). Let b(i) = i + 5. Let o be b(y). Let w(l) be the third derivative of -l**4/24 + l**3/6 + 2*l**2. Calculate w(o). -4 Let d(y) = -y**3 - 2. Let l(x) = -x**2 + 3*x + 2. Let k be l(3). Let r(v) = v**2 + 2*v + 2. Let w be r(-2). Suppose w = -k*g - 2. Determine d(g). 6 Let j(w) = 10*w**3 - w. Let u be 3 + (-36)/(-4) - -1. Let g = u + -12. Determine j(g). 9 Let i(q) be the second derivative of q**4/12 - q**3/3 - 3*q**2/2 + 2*q + 193. Suppose -3*z + z + 6 = -4*g, 5*g + 3*z = -13. Give i(g). 5 Let n(i) = -i**3 - 4*i**2 + 3. Suppose 2*s = 6*s + 16. Let t be ((-6)/s + 0)*-2. Let h = -7 - t. Give n(h). 3 Let r(n) = -2*n**2 - 13*n + 7. Let t(a) = a**2 + 6*a - 3. Let f(h) = 2*r(h) + 5*t(h). What is f(-4)? -1 Suppose 2*k + 0 = -3*v + 2, -2*k + 2*v + 12 = 0. Let l be 10/(-6) - k/(-6). Let w(p) = -5*p**2 - 2*p + 2*p. Determine w(l). -5 Let a = 6 - 3. Suppose -a*j - 2*x = -7 + 4, 0 = 2*j - x - 9. Let w(q) = -q + 3. Determine w(j). 0 Suppose 0 = 3*f + 41 - 26. Let h(w) = -w - 11. Determine h(f). -6 Suppose 0 = 2*p + o + 3, -4*p - 7 = -2*p + 5*o. Let j(i) be the third derivative of -i**6/20 + i**5/30 - i**3/6 - 3*i**2. Give j(p). 7 Let z(o) = 0*o + 0*o**2 - o**3 + 9*o - 2*o**2 - 6*o**3. Let h(u) = -13*u**3 - 4*u**2 + 17*u. Let y(d) = -6*h(d) + 11*z(d). Determine y(2). 10 Let f be (-2)/3 - (-144)/(-27). Let s(w) = w**2 + 7*w + 8. What is s(f)? 2 Let d(x) = 0 - 2*x - 2 - 5 + 0*x. Determine d(-6). 5 Let w(y) = -4*y - y**3 - 4*y**2 + 8 + 3 - 2*y. Let t(j) = -j**3 - 2*j**2 - 3*j + 6. Let s(o) = -5*t(o) + 3*w(o). Give s(2). 5 Let p(d) be the second derivative of -d**3/6 - d**2/2 + 8*d. What is p(5)? -6 Let t(s) = -2*s + 4. Let c = 15 - 7. Let a = -3 + c. Give t(a). -6 Let b(g) = -g + 0*g - 15*g**2 + 1 + 3*g - 2. What is b(1)? -14 Let q(f) = -f**2 - 2*f. Let d be q(-2). Suppose 0 = 2*y - d*y + 4*b, 0 = 5*b. Let i(j) = j**2 + 3. What is i(y)? 3 Suppose -5 = -p - 5*o, 4*o + 4 = 4*p + 32. Let s(d) = 21*d. Let j(z) = 6*z. Let w(a) = p*s(a) + 18*j(a). Calculate w(2). 6 Let y(r) be the third derivative of r**6/360 + r**5/30 + r**4/8 + 5*r**3/3 - 4*r**2. Let p(m) be the first derivative of y(m). Determine p(-4). 3 Let s be (-3)/(-5) - 54/(-10). Let h(p) = p**2 - 5*p - 1. Give h(s). 5 Let v(s) = -s**3 + 7*s**2 - 3*s - 7. Let w(h) = -5*h**3 + 35*h**2 - 14*h - 35. Let j(g) = -11*v(g) + 2*w(g). Determine j(6). 1 Suppose j - 4*j = -4*c + 5, 0 = 3*j + c - 5. Let d(v) = -4*v**3 - 2*v + 1. What is d(j)? -5 Suppose 0*t = -4*t. Let i(w) = 0 - 4*w + 2*w + 1 + t*w. What is i(2)? -3 Suppose a = 2*p - 0*a + 14, -19 = 3*p - a. Let n = -1 + 1. Let w = p - n. Let t(f) = -f**2 - 7*f - 3. Calculate t(w). 7 Let r be (2/(-5))/(2/(-20)). Suppose -x - 3*x - 12 = 0. Let i be 3/(1/(r/x)). Let p(a) = -a**3 - 3*a**2 + 5*a + 1. Give p(i). -3 Let t(u) = 12*u - 15*u + 0 + 5 - 2. Give t(4). -9 Let q(g) = 2*g**2 - 4*g**2 + 3*g**2 + g**3 + 2 - g. What is q(-3)? -13 Let v(j) be the first derivative of j**6/120 + j**5/30 - j**4/24 - j**3/6 + j**2 - 5. Let z(t) be the second derivative of v(t). Calculate z(-3). -7 Let v(u) = -u + 5. Let r be v(0). Let o(j) = 3*j - 10. Let x(n) = 7*n - 20. Let t(b) = 5*o(b) - 2*x(b). What is t(r)? -5 Let o(h) = h + 3. Let a be o(3). Let j(x) = -x**3 + 5*x**2 + 6*x. Calculate j(a). 0 Let f(s) = -6*s**2. Suppose 3*z = 4 - 1, 0 = -5*d - 2*z - 18. Suppose 4*m + 12 = -2*x, 3*m + 2*x = 2*m - 3. Let h = m - d. Determine f(h). -6 Let f(n) be the first derivative of -7*n + 2 + 7/2*n**2 - 1/3*n**3. Let k be (-172)/(-36) - 2/(-9). Determine f(k). 3 Suppose 3*h + x = -h + 24, 4*x - 6 = -h. Let s(a) = a**2 - 6*a + 9. Calculate s(h). 9 Let n(y) be the third derivative of -4*y**2 - 5/6*y**3 + 1/24*y**4 + 0*y + 0. Give n(5). 0 Let b(u) = -u**2 + 8*u + 6. Let t(h) = -7*h + 1. Let q be t(-1). What is b(q)? 6 Let d(t) = -t - 4. Let b be (-7 + 5)/((-2)/(-13)). Let m = b + 7. Let z be d(m). Let v(i) = 2*i**2 - 3*i. Calculate v(z). 2 Let p be 2/12 - (-101)/6. Let v(w) = 14*w**2 - 3*w + 29. Let g(o) = -5*o**2 + o - 10. Let t(k) = p*g(k) + 6*v(k). Determine t(3). -8 Suppose -a + 3 = -3*c - 6, -25 = 3*a + 4*c. Let v(o) be the second derivative of o**4/12 + o**3/6 - o**2/2 + 4*o. Calculate v(a). 5 Let p(v) be the second derivative of 0 - 3/2*v**3 + v - 3*v**2 + 1/4*v**4. Let i(u) = -2*u**2 + 6*u + 4. Let x(m) = 8*i(m) + 5*p(m). Give x(3). 2 Let d(f) = -9*f. Let m be d(-4). Suppose -4*c - m = -5*t, t + 0 = 5*c + 24. Let n(v) = -v - 1. What is n(c)? 3 Let w(v) = -v**3 + 5*v**2 - 5*v + 1. Suppose 2*h + 4*u = 18, 3*h - 2*u = 2*h + 29. Let y = h + 0. Suppose y = 4*z + 3. Give w(z). -3 Suppose 5*c + 13 = -7. Let t(m) be the third derivative of 0*m + 0 - 1/24*m**4 - 7*m**2 - 3/2*m**3. Determine t(c). -5 Let b(m) be the third derivative of m**8/6720 - m**7/2520 + m**6/720 + m**5/40 - m**4/6 - 3*m**2. Let o(y) be the second derivative of b(y). Give o(0). 3 Let m(j) = j**2 - 3*j + 4. Suppose -37*s = -36*s - 3. What is m(s)? 4 Let u(z) = z**3 + 4*z**2 - 5*z + 1. Suppose 1 = 5*q - 3*y - 0, 17 = 4*q + 3*y. Suppose -3*x - q - 13 = 0. Calculate u(x). 1 Let k(o) = o**3 - 5*o**2 + o + 5. Let y = 26 + -15. Suppose -2*w - 7 = y. Let r = -5 - w. What is k(r)? -7 Let w(m) = 6 + 4*m + 5 + m**2 + 1 - 8. Give w(-4). 4 Let l(u) = u**2 - 6*u + 6. Suppose 3*x + 0*x = 0. Let p be 6 - x/(-2 - -3). What is l(p)? 6 Let o(y) = -1156 - 11*y + 1159 + 2*y. Calculate o(2). -15 Let r(v) be the third derivative of 5*v**2 + 0 + 1/3*v**3 + 1/6*v**4 + 0*v + 1/60*v**5. Determine r(-5). 7 Suppose n = 5 - 9. Let q be 2/(-9) - n/18. Let y(w) = w**3 + w. Let z(s) = 2*s**3 + s**2 + 2*s - 5. Let v(a) = 3*y(a) - z(a). Calculate v(q). 5 Let d(n) = 3*n**3 + 5*n**2 + n - 8. Let p(k) = -4*k**3 - 4*k**2 - 2*k + 9. Let m(g) = -3*d(g) - 2*p(g). Calculate m(-7). -1 Let o(a) = a**2 - a - 4. Let j be (-4)/24 - (-82)/(-12). Let k = -3 - j. Give o(k). 8 Let g(h) be the first derivative of 15*h**2/2 + 19. Determine g(1). 15 Let p be (-26)/8 - (7 + 58/(-8)). Let c(t) = -t**2 - 4*t - 3. Give c(p). 0 Let p(k) = -2*k**3 - 10*k**2 - 17*k - 6. Let g(r) = -r**3 - 5*r**2 - 9*r - 3. Let y(a) = 11*g(a) - 6*p(a). Determine y(-3). 12 Let l(w) = -w - 1. Suppose p - 17 = -v + 6*p, -3*v = -3*p - 3. Let m be (v/(-2))/((-2)/12). Let o be ((-6)/m)/((-1)/(-3)). Determine l(o). -3 Let a(x) = -14*x**3 + x. Suppose -2*o = 3*o - f + 6, 3*o - 2*f + 5 = 0. Give a(o). 13 Let m(n) = n**2 - 6*n - 11. Let b be m(8). Let w(c) = 4*c**2 - 3*c - b*c**2 + 5 + 1. Let r(i) = i + 1. Let z be r(-6). What is w(z)? -4 Let k(p) = -3*p + 3. Let m be (-3)/(-3 - 0)*0. Let d(z) = z**3 - z**2 - z + 3. Let t be d(m). What is k(t)? -6 Let i = 113 + -47. Let j be i/14 - (-4)/14. Suppose -11 = j*b + 14. Let u(a) = -a**2 - 5*a - 6. Give u(b). -6 Let b be (14/(-4) - -3)*-2. Let v = b + 4. Let q(n) = n**3 - 4*n**2 - 5*n. Calculate q(v). 0 Let f = 8 + -11. Let z(q) = -q + 2*q + 6 - 2. Determine z(f). 1 Let w(q) = -q**3 + 7*q**2 - 2*q + 5. Let c be w(7). Let d = 6 + -1. Let i = d + c. Let o(z) = z**3 + 4*z**2. Give o(i). 0 Let w be ((-5)/(-2))/((-1)/2). Let h(s) be the second derivative of -s**4/12 - 7*s**3/6 - s**2 - 7*s. Give h(w). 8 Let o(t) = -t**2 + t + 10. Suppose r - 8 = -0*r - 5*s, 2*r - 8 = -2*s. Let h(i) = -
{ "pile_set_name": "DM Mathematics" }
t of j(q)? 3 Suppose -2*i - 7 = -17. Let u(b) = 4*b**2 - 3*b - 3. What is the units digit of u(i)? 2 Suppose 5*n + 3*y = 3, 3*n - 9*y + 4 = -5*y. Suppose n = 2*p - 41 + 7. What is the units digit of p? 7 Let f = -65 + 212. What is the units digit of f? 7 Let g = 1486 + 1641. What is the hundreds digit of g? 1 Suppose 23*f = 11*f + 65160. What is the thousands digit of f? 5 Let z be (-276)/2*(10/4 + -3). Suppose 8*k + z = 9*k. What is the tens digit of k? 6 Suppose 5*h = -4*x + 1199, 2*x - 601 = 11*h - 14*h. What is the tens digit of x? 9 Suppose -3*d = u - 2642, 5*d - 6504 = 4*u - 2129. What is the hundreds digit of d? 8 Let y = 376 - -1519. What is the tens digit of y? 9 Suppose 67*u + 68*u - 587115 = 0. What is the thousands digit of u? 4 Let o(k) = 5*k + 24. Let p be o(-6). What is the tens digit of p/9 - (-800)/12? 6 Suppose 22*f = 4*f + 49086. What is the units digit of f? 7 Let b(t) = 42*t + 2. Let p be b(-1). Let q be 46/10 - 16/p. Suppose -a - 103 = -5*d, -q*d + 4*a + 99 = -13. What is the tens digit of d? 2 Let h(p) = 67*p**2 + 1. Let a be (-4)/(-3) + (-5)/15. Let w be h(a). Let k = w + -39. What is the units digit of k? 9 Let i = -1452 - -2151. What is the hundreds digit of i? 6 Suppose -76*p + 25344 = -52*p. What is the hundreds digit of p? 0 Suppose -24*t = -12*t - 27372. What is the units digit of t? 1 Suppose -5*u = -2*o + 56 + 72, -u - 5*o = 31. Let t(g) = g**3 - 13*g**2 + 43. Let d be t(13). Let j = d + u. What is the tens digit of j? 1 Suppose -3*p + 1 = -4*p. Let d be (-1 + -2)/p - 0. Suppose 227 = 5*m - d*r, 5*m - r - 67 = 152. What is the tens digit of m? 4 Let m be -5*(16/6)/((-15)/(-9)). What is the tens digit of m/((-48)/553) + 2/(-12)? 9 Let y(d) = 43*d**2 + 5*d + 25. What is the units digit of y(-3)? 7 Suppose 7875 + 1260 = 21*z. What is the tens digit of z? 3 Let f(i) = -i + 10. Let g be f(8). Suppose g*t = 5*t - 60. Suppose -2*j + t = -8. What is the units digit of j? 4 Suppose -2*j = 3*j, -3*m = j - 21. What is the units digit of ((-3)/6)/(m/(-1834))? 1 Suppose 2*s - 13 = -5. Suppose -2*v + 200 = 3*v - 5*g, 0 = -s*g - 4. What is the tens digit of v? 3 Suppose j - 29 = t, 2*j - 14 = -5*t + 16. Let n = 35 + j. What is the units digit of n? 0 Let g be (17/(-34))/(2/(-5448)). What is the hundreds digit of (-2)/(-44)*4 + g/11? 1 Let i = 9 + 44. Let g = 55 - i. What is the units digit of g? 2 Let g be (-62)/15 - (-10)/75. Let r(h) = 6 + 4*h**3 + 7*h + 0*h + h**2 - 5*h**3. What is the units digit of r(g)? 8 Suppose 18*g - 12 = 14*g. Let a = 11 + g. Suppose -2*v - a = -46. What is the tens digit of v? 1 What is the hundreds digit of -3*(-29 - 2)*(-70)/(-6)? 0 Let p = -1478 - -2252. What is the tens digit of p? 7 Let d(f) = -f**3 - 12*f**2 - 11*f + 4. Let v be d(-11). Suppose -v*q = -3*q - 64. What is the tens digit of q? 6 Suppose 5*n = -258 + 2673. What is the hundreds digit of n? 4 Suppose 4*k - 2*k - 8 = 0. Suppose -k*u = u - 495. What is the tens digit of u? 9 Let i(r) = r - 1. Let d be i(1). Let u be -1 + d + -2 - -2. What is the units digit of (u - 1)/(1/(-8))? 6 Let g = 42 + -43. What is the hundreds digit of (204 - g)*(-12)/(-12)? 2 Suppose -4*t - 110 = -5*t. Suppose h + 4*h = 10, -4*q + 5*h = -t. Suppose 5*f - q = 4*x, -f + 5*f = 2*x + 24. What is the units digit of f? 6 Let u(d) = -d**3 - 4*d**2 + 10*d + 35. What is the tens digit of u(-11)? 7 Let c be (-400)/(-32) + (-2)/(-4). Suppose g - c = 5. What is the units digit of g? 8 Let p be (234/(-91))/((-1)/(-7)). Let b be ((-52)/8 + 1)*p. Let u = -66 + b. What is the tens digit of u? 3 Suppose 6*p + w - 20 = 3*p, 4*w - 8 = 0. Suppose j = p*j - 820. What is the units digit of j? 4 Let u = 441 + -371. What is the tens digit of u? 7 Suppose -5*i + m - 432 = 5*m, 5*i + 3*m = -434. Let f = i + 153. What is the tens digit of f? 6 What is the units digit of (-2146)/(-18) + 8/(-36)? 9 Let v(w) = -69*w - 203. What is the hundreds digit of v(-5)? 1 Let h(b) = b**2 + 7*b - 32. Let j be h(6). Suppose -3*v - 4*l = -26 - j, -3*v + 5*l = -99. What is the tens digit of v? 2 What is the tens digit of (-24)/(-3) + 3 + (4 - 0)? 1 Suppose 100 = 3*v + 4*l, 0 = -v - l + 4*l + 29. Suppose -16 - v = -3*c. Suppose -4*q + c = -148. What is the units digit of q? 1 Let s = -142 - -145. What is the tens digit of (-1)/(4970/(-1655) + s)? 3 Let a(w) = -w**2 - 10*w + 22. Let b(o) = 2*o**2 + 19*o - 45. Let y(t) = 5*a(t) + 2*b(t). Let v be y(-11). Let n = v + -16. What is the units digit of n? 5 What is the units digit of 10/60*30 + 694? 9 Let h(u) = -u**3 - 4*u**2 + 7*u - 1. Let q be h(-6). Let c = 8 + q. Let l = c + -17. What is the units digit of l? 0 Suppose 0 = -4*o - 35 + 3. Let k be (-4)/(-3)*(-264)/o. Let j = k - 24. What is the tens digit of j? 2 Let q = -15 + 10. What is the tens digit of (20 - q) + -3 - (2 - 1)? 2 Let s = 8381 + -4227. What is the hundreds digit of s? 1 Let a(p) = -2*p**3 + p**2. Let k be a(-1). Suppose -k*x = 5*q - 337, q - 87 = 3*x - 16. What is the tens digit of q? 6 Let x = -353 + 769. What is the tens digit of x? 1 Let k = -13 + 15. Suppose k*d + 6 = 2. What is the units digit of 1/d - 42/(-4)? 0 Let r = -97 - -33. Let j be (1 + 1 - r) + 1. Suppose 4*m - 29 = j. What is the units digit of m? 4 Suppose -257 - 19658 = -5*a + 5*v, 2*a - v - 7966 = 0. What is the hundreds digit of a? 9 Let y be -1 - 12/(-4) - 6. Let u = y + 5. Suppose -q - u = -5. What is the units digit of q? 4 Let h = 68 + -278. What is the units digit of (-40)/(-30)*h/(-4)? 0 Suppose 7*x - 144 = -2*x. Suppose x*u - 400 = 12*u. What is the hundreds digit of u? 1 Suppose 0 = -6*b + 3*b + 75. What is the units digit of b? 5 Let j(x) = 3*x**2 - 30*x + 11. What is the hundreds digit of j(-12)? 8 Let r(s) = 3*s**2 - s - 4. Let m be r(2). Let n = -1 + m. Suppose -n*i + 47 = -48. What is the units digit of i? 9 Let i = -2669 + 4971. What is the thousands digit of i? 2 What is the tens digit of 996*(-5 - (-55)/10)? 9 Let p(r) = -r**3 + 2*r**2 + 5. Let h be (-8)/(-44) - (-2)/(-11). Let c be p(h). Suppose -2*z - c*d - 6 + 123 = 0, 164 = 3*z - 4*d. What is the units digit of z? 6 Let t(a) = a**3 + 23*a**2 - 86*a + 18. What is the units digit of t(-26)? 6 Suppose -4*a + 3164 = 4*n, -7*n - 3176 = -4*a - 5*n. What is the units digit of a? 3 Suppose 0 = -75*c + 82*c - 336. Suppose 2*q + 4*m - 13 = -3, -2*q - 2*m = -20. What is the units digit of (0 - c/(-20))*q? 6 Let i be 10 + (11 - 6) - 6. Suppose 5*l = 13 + 37. Suppose -l*o + 51 = -i*o. What is the tens digit of o? 5 Let s(v) = -v**3 + 2*v**2 + v - 1. Let m be s(2). Let g(y) be the first derivative of 20*y**3 + y**2/2 - y + 6. What is the tens digit of g(m)? 6 Suppose 3*j - 24 = -4*d, -4*j + 4*d = -0*j - 4. Suppose 545 = 4*h + h - j*b, -2*b + 10 = 0. What is the hundreds digit of h? 1 What is the units digit of 6 + (-175)/28 - (-2445)/4? 1 Suppose 317 = 5*h - 2*c, h - 46 - 23 = -c. What is the tens digit of h? 6 Suppose -5*o = 3*h - 873, 0*o + 5*o - 2*h - 893 = 0. What is the hundreds digit of o? 1 Suppose -5*j + 14 + 6 = 0. Let d = -289 + 293. What is the units digit of 53 - (j + 4)/d? 1 Suppose -950*d + 953*d = 11151. What is the tens digit of d? 1 Suppose -4*b = f - 16, -3*b + 5 = -4*f + 3*f. Suppose p = -b*p + 20. Suppose -4*o + 99 = p*d - 0*o, 93 = 5*d - 2*o. What is the units digit of d? 9 What is the hundreds digit of (-280)/(-350) - (-2651)/5? 5 Let p be (-80)/(-50) - (-2)/5. Suppose -1 - 3 = -4*b + 2*g, -p = -4*b + g. Suppose -d + 27 + 0 = b. What is the tens digit of d? 2 Let y(n) = -537*n**3 + 2*n**2 + 2*n. What is the hundreds digit of y(-1)? 5 Let k(y) = -y**3 + 6*y**2 - 6*y + 10. Let u be k(5). Suppose 13 = u*o - 112. What is the units digit of o? 5 Suppose 3*d = -5*z + 6152, 22*z - 4*d = 24*z - 2458. What is the hundreds digit of z? 2 Suppose -3*r + 747 = 2*f, 0*f + 3 = f. Suppose 5*m + 2*v = r, -m - 5*v + 28 + 26 = 0. Suppose -2 - m = -3*x. What is the units digit of x? 7 Let t = 2 + 2. Let f(h) = -h + 13. Let b be f(8). Suppose -6 = 3*j, b*w + 6*j - 156 = t*j. What is the units digit of w? 2 Let z(y) = -y**3 + 6*y**2 - 3*y - 2. Let l be z(3). Suppose 3*k = 4*i + 7*k - l, k - 12 = -5*i. What is the units digit of i? 2 Suppose -17*w + 20*w + 45 = 0. Suppose 0*h = -5*h + 135. Let r = w + h. What is the units digit of r? 2 Suppose -3*k + 2*g = -k
{ "pile_set_name": "DM Mathematics" }
4507747.16 What is 62701830362 less than 3? -62701830359 Calculate -1797.03243058481 - 5. -1802.03243058481 What is 6251674388 take away -323.87? 6251674711.87 What is the difference between -2189028719061 and -0.1? 2189028719060.9 Subtract -377.1113 from 2196. 2573.1113 What is -42 plus -1540422289? -1540422331 What is -26362560112951 less than -5? 26362560112946 Add -0.4 and 505.579711532. 505.179711532 1.4046211051412 + -0.33 1.0746211051412 What is -5012094365293 less than 2? 5012094365295 Put together -0.211 and 1.0672250766. 0.8562250766 Add 22525.526596 and -1.36. 22524.166596 What is -0.5 plus -4978707266191? -4978707266191.5 What is -4 less than 708075.5730933? 708079.5730933 What is the distance between -14.81790293 and 0.001? 14.81890293 Put together -19993 and -20127357. -20147350 What is 0.3 take away 20663.127716? -20662.827716 Work out -71969 - -2498615.8. 2426646.8 Calculate -954378094023 - -9. -954378094014 Put together -0.206482 and 2079115670. 2079115669.793518 Sum 11386665767 and 320.8. 11386666087.8 What is -1754.9 + -11563086? -11564840.9 -218+-7034.514826266 -7252.514826266 -0.08544+9509668428 9509668427.91456 What is -0.05499 minus -7601.00057? 7600.94558 Total of -8520 and 19717975005. 19717966485 What is the distance between -11781.58 and 27070006? 27081787.58 -3242371747286+2 -3242371747284 286.2117 + 390302 390588.2117 2 + 1723860923614.21 1723860923616.21 0.1 + -0.0571684154487 0.0428315845513 Sum -0.3 and -16542347622.3. -16542347622.6 989.1098 + -1808 -818.8902 Calculate -69330.55341 - 3060. -72390.55341 What is -189 + -552.9931272? -741.9931272 What is 3.271984 plus -29648.75? -29645.478016 Add -7 and -2140277136154. -2140277136161 What is -0.2062 minus -2327664254? 2327664253.7938 What is -1.68131 + 56697739? 56697737.31869 What is the distance between 0.2696408 and 71.130907? 70.8612662 3.535 + -955182.38 -955178.845 Add -14916941670 and 338. -14916941332 -58457054726430+-4 -58457054726434 What is 124965.16084979 + 1? 124966.16084979 Calculate 12.36 + -42433423. -42433410.64 Add together -0.503 and -276431209. -276431209.503 Calculate -2610.2324 - -0.4767762. -2609.7556238 What is 629.764 minus 34046768? -34046138.236 13311264 + -3.06429 13311260.93571 What is -423419.964 - -716? -422703.964 Sum -2316 and 47598058. 47595742 What is the distance between -782.255592 and 941880? 942662.255592 What is the difference between -19495297.87 and -63? 19495234.87 What is 1383490 less than -28095.97? -1411585.97 Subtract -2083041 from -20776190. -18693149 Calculate -4232 - 74370588132. -74370592364 What is the distance between 0.1149126071384 and 18? 17.8850873928616 Add 308372689783369 and 0.2. 308372689783369.2 Calculate -5 - 119479785498684. -119479785498689 Work out 6594.5 - 262.459. 6332.041 0.5 + -105800.79844 -105800.29844 0.046+28319948568 28319948568.046 Calculate 2497805089 + -27.89. 2497805061.11 Put together 1.8 and 2.8698577451. 4.6698577451 What is 838 + 0.0856227959? 838.0856227959 Calculate -2089 - -9908095887. 9908093798 What is the difference between 2153.9613466 and -27541? 29694.9613466 -21677 + -31083319 -31104996 Calculate -825600 + 72876. -752724 Sum -1.79 and -8.2948255084. -10.0848255084 Put together -0.05 and -73929275085. -73929275085.05 What is the distance between -23118428.8 and 0.036381? 23118428.836381 What is the difference between -3 and -12831807315209? 12831807315206 Calculate 4.4 - 0.1145889792301. 4.2854110207699 Put together -67891893 and 60660. -67831233 What is the distance between 10852672.97 and -1112.1? 10853785.07 Total of -14.67267768 and 1124. 1109.32732232 What is 129 plus 129.789388? 258.789388 Work out -0.46 - -68538587.88. 68538587.42 What is -0.00679 - -42070.816? 42070.80921 Put together -7 and 6451772.735. 6451765.735 Calculate 1125.8 + 1022.8849704. 2148.6849704 What is 0.110353 minus 814153.6? -814153.489647 What is the difference between 4 and -130233868786? 130233868790 Work out 0.12 - 278.7173450445. -278.5973450445 What is the difference between 20.2 and -377481.13? 377501.33 Subtract 0.27812 from -137944792. -137944792.27812 Calculate 337125 + 12049729. 12386854 What is the distance between -536482270.496 and 0.1? 536482270.596 What is 2 less than 748498827? 748498825 What is the difference between 1094207149540 and 0? 1094207149540 Total of -47267149 and 0.02328. -47267148.97672 What is 17.1591492824 less than 2? -15.1591492824 13.87551751 - 221 -207.12448249 What is 629382 take away -566987404? 567616786 -285252 - 28.524437 -285280.524437 6398374.4 + 64448 6462822.4 -46.627+-1823499917 -1823499963.627 What is 46193163207 - -0.3? 46193163207.3 What is -1087044.3 - 39773? -1126817.3 Put together -11.1347322663 and -1194. -1205.1347322663 -60362 + 236472816 236412454 Add -0.180127 and 22482250. 22482249.819873 34347 - 2982.4108 31364.5892 What is -57.3 + -969.627969? -1026.927969 Sum 40918.5946383781 and 0.4. 40918.9946383781 What is the distance between 37165517 and 4906.3? 37160610.7 What is -4.9914 plus -5691522.09? -5691527.0814 -0.0509 + 1875403520 1875403519.9491 Add -4 and 694638651303. 694638651299 -29.47 + 38.7755754 9.3055754 Put together 6163570 and -20511. 6143059 0.001547230156 - 2 -1.998452769844 What is -3077 take away 508517351? -508520428 50028474 + -7.954217 50028466.045783 What is 0.09403617 plus 220.21? 220.30403617 Sum 3607 and 11.15080037. 3618.15080037 Calculate 8185223 + -1376.86. 8183846.14 What is 1 take away 204252223316? -204252223315 Subtract 137.9 from -4.174773. -142.074773 What is -0.05283 less than 2496180278? 2496180278.05283 Add together -59277757.84 and 8388. -59269369.84 What is -55 + 835046020034? 835046019979 Work out 6226694 + 251. 6226945 172.6 + -2401917 -2401744.4 Put together -11698617050471 and -3. -11698617050474 Calculate -27580869285 - -1.594. -27580869283.406 What is -87 less than -4664938172.66? -4664938085.66 What is 52734653029208 - 0.1? 52734653029207.9 -1.24882322319 - -0.2 -1.04882322319 What is -5.324935381871 + -0.3? -5.624935381871 1556303 + 1705.2346 1558008.2346 -1053493+-17224.581 -1070717.581 -310 - -0.093550031706 -309.906449968294 Total of 0.30906 and 11.31525943. 11.62431943 What is 0.1 take away -11488163716761.9? 11488163716762 What is the difference between -1445.43377342 and 0.4? 1445.83377342 10.4021 - 395024.8 -395014.3979 Add together 23493206579934 and -0.3. 23493206579933.7 Add together 27534430 and 9373. 27543803 Calculate -43842704 + -32.1999. -43842736.1999 Total of 4 and -87387.18083. -87383.18083 -781910 + 197528302 196746392 Subtract -366907 from -1172224. -805317 What is 67897768.98908 - -18? 67897786.98908 379065360.244+-0.2 379065360.044 -17.49 - -29800601 29800583.51 What is -61496.3541 minus -202588? 141091.6459 0.0500916 - 439962 -439961.9499084 What is -8 plus -1.5423772537773? -9.5423772537773 What is 27168022.11443 take away 118? 27167904.11443 What is -3385.9319 take away -4024.261? 638.3291 Work out 0.85 - -172.61267258. 173.46267258 Add -188 and -982158705. -982158893 What is 51 + -1817928361674? -1817928361623 What is -113.698423 less than -653092? -652978.301577 What is -23862365828 - 14? -23862365842 Put together 3 and -1184059482818. -1184059482815 What is -141 minus 622147714390? -622147714531 What is 0.2 minus 1630372739734? -1630372739733.8 Work out -0.0876009 - 0.19288276. -0.28048366 What is -25610 - 20919.76? -46529.76 Put together 4.7004 and -252913.2. -252908.4996 What is 51652 plus 51947945? 51999597 Sum 0.131 and 48305409671. 48305409671.131 11151298947823+-5 11151298947818 Sum 118414304.4 and 18117. 118432421.4 What is the distance between -0.8 and -1001409876283? 1001409876282.2 Add together -2554690.911 and 102.2. -2554588.711 What is 128.2083 minus 18739334? -18739205.7917 What is the difference between -117.95 and 78160.9674? 78278.9174 3994+-300076.301 -296082.301 What is -4 less than 0.279283787498302? 4.279283787498302 What is -0.76372452393 + -820? -820.76372452393 Put together -155570 and 431460199.5. 431304629.5 -0.151066 - -20693.2961 20693.145034 Work out 66630553369 - 0.598. 66630553368.402 Work out 68603 + 1606394. 1674997 Total of 2166 and -380.9704911. 1785.0295089 What is -14207319816.7 plus 0.00626? -14207319816.69374 Sum 8.8835 and -
{ "pile_set_name": "DM Mathematics" }
30 and 6. 30 Calculate the common denominator of -49/66 and 95/516. 5676 Calculate the smallest common multiple of 2790 and 4185. 8370 Calculate the least common multiple of 290 and 230. 6670 Calculate the common denominator of -125/198 and 73/453. 29898 Find the common denominator of -79/308 and -25/18. 2772 Find the common denominator of 131/2430 and -77/1350. 12150 What is the common denominator of 36/671 and 42/1769? 19459 Calculate the smallest common multiple of 32 and 1095. 35040 Calculate the smallest common multiple of 6 and 840. 840 What is the smallest common multiple of 29 and 290? 290 What is the smallest common multiple of 27 and 18? 54 Find the common denominator of -29 and 18/179. 179 What is the least common multiple of 117 and 240? 9360 What is the common denominator of 101/48 and -14/11703? 187248 Calculate the least common multiple of 16 and 300. 1200 Calculate the smallest common multiple of 12368 and 14. 86576 What is the common denominator of -53/1988 and -45/7952? 7952 Find the common denominator of -73/60 and -61/300. 300 Find the common denominator of -3/3910 and 9/1190. 27370 Calculate the common denominator of 103/30 and 121/60. 60 Calculate the lowest common multiple of 168 and 616. 1848 Calculate the smallest common multiple of 68 and 119. 476 What is the common denominator of -7/74 and 5/296? 296 Calculate the smallest common multiple of 6 and 153. 306 Calculate the smallest common multiple of 75 and 525. 525 What is the common denominator of -53/25 and 43/11? 275 What is the common denominator of -67/156 and -91/192? 2496 Calculate the smallest common multiple of 1833 and 234. 10998 Calculate the common denominator of -21/550 and 27/550. 550 What is the lowest common multiple of 28 and 21? 84 Calculate the common denominator of 173/540 and 7/270. 540 Calculate the lowest common multiple of 60 and 90. 180 What is the least common multiple of 84 and 135? 3780 Calculate the common denominator of 26 and 21/13. 13 Find the common denominator of 4/15 and -43/351. 1755 Find the common denominator of 74/9 and 125/168. 504 Calculate the least common multiple of 16 and 8820. 35280 What is the least common multiple of 1410 and 2350? 7050 Calculate the least common multiple of 396 and 12. 396 What is the smallest common multiple of 26 and 230? 2990 What is the common denominator of 99/2114 and 113/126? 19026 Find the common denominator of 23/40 and 111/14. 280 Calculate the least common multiple of 134 and 20. 1340 What is the smallest common multiple of 405 and 55? 4455 Calculate the lowest common multiple of 256 and 4. 256 Calculate the lowest common multiple of 715 and 25. 3575 Find the common denominator of 51/511 and -73/574. 41902 What is the common denominator of 7/6 and 67/720? 720 Calculate the least common multiple of 886 and 4. 1772 What is the common denominator of -79/4 and -1/268? 268 What is the common denominator of -49/27 and 25/12? 108 Calculate the common denominator of 25/1232 and 101/14. 1232 Find the common denominator of 103/162 and 45/16. 1296 What is the lowest common multiple of 44 and 92? 1012 What is the common denominator of -17/12 and 76/21? 84 What is the smallest common multiple of 954 and 48? 7632 Calculate the least common multiple of 1128 and 1269. 10152 Find the common denominator of -47/16 and -37/100. 400 What is the common denominator of 17/175 and 11/35? 175 What is the least common multiple of 150 and 135? 1350 Calculate the smallest common multiple of 12 and 117. 468 Find the common denominator of 35/306 and 61/414. 7038 Find the common denominator of -39/8 and 65/8. 8 Calculate the common denominator of -133/528 and -139/12. 528 What is the least common multiple of 13 and 43? 559 Calculate the least common multiple of 90 and 4. 180 Calculate the common denominator of 77/186 and 10/3. 186 What is the common denominator of -41/100 and 31/280? 1400 Find the common denominator of 139/204 and -23/318. 10812 Find the common denominator of 67/18 and 59/6. 18 Find the common denominator of -23/2661 and 53/552. 489624 What is the common denominator of -43/6 and 14/3? 6 Find the common denominator of -103/24 and -139/114. 456 Calculate the lowest common multiple of 22 and 322. 3542 Calculate the smallest common multiple of 120 and 72. 360 Calculate the common denominator of 69/352 and -11/6. 1056 Calculate the lowest common multiple of 3 and 6213. 6213 What is the smallest common multiple of 7452 and 1656? 14904 Find the common denominator of 121/18 and -61/8028. 8028 Calculate the least common multiple of 58 and 24. 696 Calculate the common denominator of 49/81 and -25/33. 891 What is the least common multiple of 154 and 198? 1386 What is the common denominator of 79/30 and -73/3? 30 Calculate the common denominator of -48/275 and 67/55. 275 Calculate the lowest common multiple of 10 and 30. 30 What is the common denominator of -9/896 and -43/3584? 3584 Calculate the smallest common multiple of 18 and 560. 5040 What is the lowest common multiple of 567 and 1890? 5670 What is the smallest common multiple of 450 and 10? 450 Calculate the common denominator of 51/4382 and 119/3756. 26292 What is the least common multiple of 182 and 520? 3640 What is the lowest common multiple of 3822 and 637? 3822 What is the common denominator of -47/78 and -75/176? 6864 Calculate the least common multiple of 1932 and 2415. 9660 Calculate the common denominator of 51/356 and -53/126. 22428 What is the common denominator of -11/8515 and 17/39? 25545 Calculate the common denominator of -40/117 and -67/39. 117 Calculate the lowest common multiple of 162 and 21. 1134 What is the lowest common multiple of 10 and 5696? 28480 Calculate the common denominator of 31/10 and -19/3630. 3630 What is the smallest common multiple of 1532 and 28? 10724 Find the common denominator of -29/84 and -91/1068. 7476 Calculate the common denominator of 15/89 and 17/3. 267 Calculate the least common multiple of 32 and 1312. 1312 Calculate the least common multiple of 6 and 76. 228 Find the common denominator of 83/8882 and -37/22. 97702 What is the least common multiple of 612 and 510? 3060 What is the common denominator of 1/320 and -71/704? 3520 What is the smallest common multiple of 14 and 2? 14 Find the common denominator of 45/2443 and 23/349. 2443 Calculate the common denominator of 35/2 and 9/173. 346 Calculate the common denominator of 32/3 and -19/102. 102 What is the lowest common multiple of 536 and 36? 4824 Find the common denominator of 19/2 and 127/996. 996 Find the common denominator of -13/7032 and -43/2. 7032 What is the smallest common multiple of 244 and 22? 2684 Calculate the least common multiple of 13 and 39. 39 Calculate the lowest common multiple of 666 and 999. 1998 Calculate the lowest common multiple of 1016 and 2. 1016 Calculate the least common multiple of 1670 and 80. 13360 Find the common denominator of 69/946 and -87/10. 4730 Calculate the smallest common multiple of 216 and 18. 216 What is the common denominator of -137/6 and -4/325? 1950 Calculate the smallest common multiple of 946 and 602. 6622 What is the common denominator of 43/145 and 133/174? 870 Calculate the smallest common multiple of 21 and 10. 210 Find the common denominator of 41/174 and 89/4466. 13398 Calculate the least common multiple of 364 and 8. 728 What is the lowest common multiple of 44 and 1704? 18744 Find the common denominator of -32/585 and -61/117. 585 What is the smallest common multiple of 10 and 1785? 3570 Calculate the lowest common multiple of 6264 and 22. 68904 Calculate the common denominator of 29/517 and -97/88. 4136 Calculate the smallest common multiple of 10 and 398. 1990 What is the common denominator of 71/104 and -1/6? 312 Calculate the lowest common multiple of 4795 and 274. 9590 Calculate the lowest common multiple of 11 and 41. 451 Calculate the common denominator of -109/1484 and -39/98. 10388 Calculate the common denominator of 97/32 and 27. 32 Calculate the least common multiple of 16 and 5. 80 What is the least common multiple of 927 and 1236? 3708 What is the least common multiple of 965 and 1? 965 Calculate the least common multiple of 302 and 14. 2114 Calculate the lowest common multiple of 9 a
{ "pile_set_name": "DM Mathematics" }
True Let n(x) = -25*x - 19. Is n(-6) a prime number? True Let v be (-940)/7 - 4/(-14). Let f = v + 261. Is f prime? True Let g = 0 + 3. Suppose -h + 6 = -g*h. Let j(k) = 7*k**2 + k - 1. Is j(h) a composite number? False Let l(p) = p**2 - p + 113. Let a be l(0). Suppose 5*h + 81 = -4*n + 702, -h + a = -2*n. Is h a composite number? True Is -3 + 497 + 5 - 2 a prime number? False Suppose -6*p + 2*p = -12. Let m(a) = -a - p*a + 2*a. Is m(-3) composite? True Suppose 5*i - 5 = -15. Suppose 0 = s - 0*s + 2. Is (-89)/s*i/(-1) a composite number? False Let x = -22 - 64. Let w = -49 - x. Is w a composite number? False Let b = -20 + 20. Suppose -3*a - 7 + 436 = b. Is a a composite number? True Let i(o) = o + 3. Let p be i(-3). Suppose c - 127 = -p*c. Is c a prime number? True Suppose -3*g = -2*g + 3. Let y(l) = -5*l**3 + l**2 + 3*l - 4. Is y(g) composite? False Let s = 5 - 9. Let o(p) be the second derivative of -p**3/3 - p**2/2 + p. Is o(s) a prime number? True Let h(t) = 36*t - 1. Is h(6) prime? False Let c = 22 - 31. Let a(t) = t**2 - 11*t + 11. Is a(c) a prime number? True Is (-4)/(-10) - (-999)/15 a composite number? False Let b(a) = a**2 - 2. Let f be (-2)/((-2)/(-7) + 0). Let q(g) = g + 3. Let w be q(f). Is b(w) a prime number? False Suppose 0 = -j + 322 - 35. Is j a prime number? False Is 2 - (-1)/(2/890) a composite number? True Suppose 0 = 3*x - m - 3425, -5*m + 2272 = -2*x + 4*x. Is x a composite number? True Let s(w) = -w**2 + 9*w - 4. Let h be s(6). Let m = h + -10. Suppose 4*f + 8 = 0, m*f - 485 = -3*q + 2*f. Is q a composite number? False Let c(h) = 25*h - 3. Let a(u) = 38*u - 4. Let v(q) = -5*a(q) + 8*c(q). Suppose 0 = -0*g - g + 3. Is v(g) a composite number? True Let f = 17 + -12. Suppose f*a - 7 = -12. Is a - (-4 - -1) - -111 composite? False Let u = 11 - 8. Suppose -4*g + u*g + 2*a + 30 = 0, 2*a = 4*g - 114. Is 960/g - (-4)/(-14) a prime number? False Let v = -69 + 140. Suppose v = 5*b - 324. Is b a composite number? False Let f be (1 + -1 + -3)*-94. Is ((-7)/(-2))/(3/f) prime? False Suppose 2*f - 4 = -2*f. Suppose -c + 2*c = -f. Is (53 - c) + 3 + -2 a prime number? False Let p = 48 + 11. Is p a prime number? True Suppose 10 = 2*r - b, 5*r - 2*b = 2*b + 28. Suppose 5*h = r*g + 89, 4*g - 100 = -2*h - 2*h. Is h a prime number? False Let b be ((-6)/(-4))/(6/(-20)). Is ((-181)/b)/((-11)/(-55)) prime? True Let c = -81 + 126. Let p = c - 30. Suppose 3*n - 6 - p = 0. Is n prime? True Suppose 0 = 5*j - 2*l - 28995, -5*l - 7650 = -2*j + 3927. Is j a composite number? False Suppose 29*d = 23*d + 47166. Is d prime? False Let u = -118 + 267. Is u a prime number? True Let c be 126/(-8) - 36/(-48). Let v = c + 52. Is v a prime number? True Let k(i) = -i**2 + 7*i + 5. Let m be k(6). Is (1/(-2))/(m/(-1166)) composite? False Suppose 5*p = -6*o + 3*o - 37, 5*p - 2*o + 17 = 0. Let r(k) = -k**3 - 2*k**2 + 5*k + 3. Is r(p) a prime number? True Suppose 2*z = 8 - 0. Suppose 141 + 127 = z*k. Is k composite? False Let f = 763 + -374. Is f a prime number? True Is (19431/(-18))/((-2)/4) a composite number? True Suppose 5 + 1 = 3*g + v, -5*g = -3*v + 4. Let s be 37*(g + -2)*-2. Let y = s + 39. Is y a composite number? False Is (7304/(-12))/(3 - (-33)/(-9)) a prime number? False Let h = 6 - 3. Suppose 2*v - 4 = 0, 5*n - 214 = n - h*v. Suppose 2*b - b - 50 = -3*j, -b + n = j. Is b a prime number? True Suppose -k + 1 + 2 = 0. Suppose 0 = -k*j + 2*j + 21. Is j prime? False Suppose 5*b + 423 = 2*b. Let l = b - -254. Is l a composite number? False Suppose -5*f + 15 = 0, -2*f = -4*m - 0*f - 18. Is ((-2)/(-2))/(m/(-117)) a prime number? False Suppose 3 + 5 = 2*k. Let m(t) = 9*t - 1. Is m(k) a composite number? True Is 312 + 13 - (4 + -2) a composite number? True Let j(h) = -h**2 - 2*h + 4. Let k be j(-4). Let d be 0/(-3) - (k - -1). Is d*4/6 + 11 a composite number? False Suppose -5*q = u - 3*q - 623, 1869 = 3*u - 4*q. Let y(w) = -w**3 - 3*w**2 - 3*w - 1. Let f be y(-3). Suppose -12 - f = -4*c, 4*h - u = c. Is h a prime number? True Let a = -11 - -8. Is -2 + 152 + a + 2 a prime number? True Suppose 13 = -2*c + 3*f, -2*c + f = c + 9. Let d = 0 + c. Is ((-8)/d)/((-12)/(-66)) composite? True Let f(p) = -p**3 - 2*p**2 + 4*p + 4. Let i be f(-4). Suppose 5*g + 195 = -i. Is g/(-5) - (-18)/45 composite? True Suppose 2*j + 3*j + 50 = 0. Let u = 75 + j. Is u prime? False Let i(q) = -3*q + 8. Let l be i(-6). Suppose -z - z = -l. Is z composite? False Let p be -2 + (-1 - 12/(-2)). Let l = 50 + -6. Let q = p + l. Is q a composite number? False Suppose -4*c + 3*x = x - 224, 0 = x + 2. Is c composite? True Suppose y = 3*y + 60. Suppose 0 = -3*a + i + i + 491, 821 = 5*a - 4*i. Let g = y + a. Is g a prime number? True Let g(k) = -k**3 + 25*k**2 + 18*k - 17. Is g(9) prime? False Let w(j) = 16*j**2 - 13*j + 9. Is w(8) a prime number? True Suppose 6 + 4 = 2*c. Suppose -5*q + 645 = -c*p, -6*p + 6 = -3*p. Is q a composite number? False Let h(x) = 6*x**2 - 11*x + 2. Is h(5) prime? True Let d be ((-4)/(-6))/(2/(-9)). Let u(f) = -85*f**3 - 3*f**2 + 2. Let i(w) = 86*w**3 + 2*w**2 - 1. Let h(m) = d*i(m) - 2*u(m). Is h(-1) prime? False Suppose -502 - 306 = -4*x. Is 14/(-63) + x/18 composite? False Suppose 17*u - 19*u + 574 = 0. Is u prime? False Let r be 15*(-4)/8*2. Is 4870/r*6/(-4) a prime number? True Suppose -5*z + 4*n = 1120, -3*z - 381 - 289 = -2*n. Let c be (-12)/54 - z/18. Suppose -j - c = -3*j. Is j prime? False Let o(b) = b**3 + 25*b**2 - b - 47. Is o(-24) prime? False Let n = 13 - 9. Suppose -2 = n*c - 38. Suppose 0 = o - c - 10. Is o composite? False Let b(r) = -r**2 - 7*r + 7. Let d be b(-8). Let x = 5 + d. Suppose 2*h + 175 = w + x*w, -173 = -4*w - 5*h. Is w a prime number? True Suppose 3*j = 1709 + 2668. Is j prime? True Let j(k) = -k**2 - 15*k - 8. Let u be j(-11). Let z = u + -17. Is z composite? False Let i(w) = -w**3 - 5*w**2 - 4*w + 3. Let c be i(-4). Let a(d) = d**3 + d + 4*d**3 - 1 + 3*d**c. Is a(2) a composite number? True Let k be (-2)/4 + (-1026)/(-4). Suppose k = 5*o - 289. Is o prime? True Let o(t) = -t**3 + t**2 - t - 214. Let r be o(0). Suppose -1 = 2*n + 7. Is r/(-10) - n/(-10) prime? False Let k = 6 - 12. Let h be 16/10 - k/15. Suppose 0 = h*g + 2*a - 78, 3*g + 4*a = -a + 121. Is g a composite number? False Let l(u) = -7*u + 5. Let j be l(-5). Let w be 1/2 - 306/(-4). Let h = w - j. Is h a composite number? False Let n(z) = -z**3 + 10*z**2 - 1. Let f be n(7). Let g be (-1 - f)*2/(-6). Suppose -3*p + 40 = -5*k, -3*k = 3*p + k - g. Is p composite? True Let p be (-6)/24 - (-502)/(-8). Suppose -4*c + m + 4*m + 475 = 0, -m = 3*c - 361. Let w = c + p. Is w composite? True Let y(b) = -b**2 + b - 2. Let i be 0/(-4) - (2 - 2). Let j be y(i). Is (-1858)/(-18) + j/9 a composite number? False Suppose 0 = -2*g - 2*f - 5 + 3, 3*f = -6. Suppose -d - g - 13 = 0. Is (-6)/21 - 158/d composite? False Let t(a) = 389*a**2 - 2*a - 1. Is t(-2) composite? False Let b = 25 + -84. Let v = -24 - b. Is v a prime number? False Let i(m) = 107*m**2 + 7*m + 6. Let s be i(8). Is s/5 - (-2)/(-2) composite? False Let o be ((-4)/(-4))/((-1)/(-75)). Is (-8)/(-10)*o/10 a composite number? True Let l(x) = x**2 - x - 3. Suppose -3*b + 8 + 1 = 0. Let q be 2*b/((-12)/14). Is l(q) a composite number? False Let w(y) = y**3 - 7*y**2 + y - 4. Let n be w(7). Let i(h) = 7*h**2 + 0*h**n + 5*h + 9 + 0*h**3 + h**3. Is i(-6) a composite number? True Is 28026/42 + 4/(-14) a composite number? True Let v = 1642 - 393. Is v a composite number? False Is (226/4)/(2/4) prime? True Suppose -3229 = -3*a - 370. Is a a composite number? False Let a be 2 + -3 - 9/(-3). Suppose -2*u - 265 = -c - a*c, 0 = -2*c - 2*u + 180. Is c a composite number? False Let p(u) = 10*u**2 + 5*u - 20. Is p(-9) composite? True Suppose 526 = 3*s - 2063. Is s a composite number? False Let w(v) = v**2 + 3*v + 9. Let x = 0 + 0. Suppose x = -2*b + 6*b - 28. Is w(b) prime? True Let a be 2*-2*2/2. Let b be 3/12 + (-23)/a. Is 3/b*79*2 composite? False Is (-1)/(((-4)/(-1466))/(-2)) composite? False Let x(f) = f + 4. Let o be 1/((3/9)/(-1)). Let h be 14*(6/(-4))/o. Is x(h) composite? False Let a be 312/((-6)/(-3)) - 2. Suppose -3*n = -323 - a. Suppose -4*o + 7*o - n = 0. Is o a composite number? False Let y(c) = c**2 - 2*c + 2. Is y(-8) composite? True Su
{ "pile_set_name": "DM Mathematics" }
3 - 2 + (-3 + 0 + 4)*(-3 + 7 - 1)). 6*u**2 Expand (2 - 2*l - 2)*(l + l - l) + (-1 - 1 + 0)*(651*l**2 - 549*l**2 + 646*l**2). -1498*l**2 Expand 4 - 6 - 9463*c + 9460*c + 28*c**2 + (6*c - c - 3*c)*(3*c - c - c) - 5 + 2*c**2 + 5 - c + c - 2*c**2. 30*c**2 - 3*c - 2 Expand -f**3 + 2*f**3 - 2*f**3 + (2 - 5 + 1)*(9*f**3 + 6*f**3 - 6*f**3) - 15*f - f**3 + 15*f + 5*f**3 - 3*f**3 - 4*f**3. -22*f**3 Expand (w + 0 + 0)*(19*w**4 - 32*w**4 + 12*w**4) + (-w**3 + 3*w**3 - w**3)*(w**2 + 0*w**2 - 2*w**2) - 4*w**5 - 3*w**5 + 3*w**5. -6*w**5 Expand ((2 + 3 + 0)*(-3 + 3 + 2) - 3 - 3 + 4)*(2*d - 12 + 12)*(2 - 1 + 2)*(-1 + 0 + 4). 144*d Expand (-3*z - 4*z + 5*z + (-2 + 2 + 1)*(-z + 2*z - 2*z))*(-46 - 31 - 26). 309*z Expand (-3*d**4 - 10*d**3 + 10*d**3)*(-35 - 37 + 72 + 41*d). -123*d**5 Expand (24*d - 24*d + 6*d**2)*(-865 + 865 - 60*d**3). -360*d**5 Expand (-4*d - 6*d + 13*d)*(36*d**2 - 6*d**3 - 36*d**2) + (-3 + 3 + d**2)*(-4*d**2 + 5*d**2 + d**2). -16*d**4 Expand (-3*p**2 + 5*p**2 + 0*p**2 + (-2*p + 2*p + p)*(-p + 5*p - 41*p))*(-2*p - 3 + 3). 70*p**3 Expand (-3 + 0 - 4)*(-9*g**2 + 6*g**2 - 7*g**2)*(0*g + 2*g - 4*g). -140*g**3 Expand (0 - 1 + 3)*(-r**3 - 7*r**3 - 8*r**3)*(-4 + 18*r + 4). -576*r**4 Expand (a**2 - 2*a + 2*a)*(-6*a - 2 + 2) + (3*a**2 - 5*a + 5*a)*(4 + 3 - 5)*(2*a + 2 - 2). 6*a**3 Expand (-q - 2*q - q)*(0*q + 5*q - 2*q + (1 - 3 + 0)*(q + q + 0*q) + 11*q - 186 + 186). -40*q**2 Expand (0*l + l + 3*l + (4*l + 0*l - 2*l)*(3 - 5 + 4) + (l - 2*l - l)*(2 - 1 - 3) + 1 - l + 4*l - 4*l)*(5*l - 4*l + 2*l). 33*l**2 + 3*l Expand (1 + 3 - 2)*(-m + 1 - 1) + m + 4*m + 7*m + 981 - 981 + 20*m. 30*m Expand (6*g**3 - 8*g**3 + 5*g**3)*(-33*g + g**2 - 3*g**2 + 21*g + 1). -6*g**5 - 36*g**4 + 3*g**3 Expand (-5 + 0 + 4)*(3 - 3 - 4*i) + 145*i - 52*i - 39*i. 58*i Expand (0*y + 4*y - 2*y)*(-3 + 2*y**4 + 3) - 10*y**5 + 26*y**5 + 25*y**5 + (3 - y - 3)*(2 + 2*y**4 - 2). 43*y**5 Expand (0 + 0 - 2*y)*(-11 + 6 - 7) + (2 - 54 + 18)*(-y - y + y). 58*y Expand (3*z**2 + z**2 - 3*z**2)*(5 - 4 + 191*z - 185*z)*(2 - 2 + 2). 12*z**3 + 2*z**2 Expand 566*q**2 + 12*q**3 - 566*q**2 - 7*q**3 + 11*q**3 + 0*q**3 + (q + q**2 - q)*(0 - q + 0) + (q - 5*q + 3*q)*(-2*q + 2*q + q**2). 14*q**3 Expand (-2 + 1 + 4)*(111 - 74 - 104)*(-4*x**5 + 3*x**5 + 0*x**5). 201*x**5 Expand (-3*k + 3*k - 2*k**2)*(-k + 3 - 3) + 58*k**3 - 74*k**3 - 134*k**3 + 0*k**3 - 4*k**3 + 5*k**3. -147*k**3 Expand 0*p**5 - 5*p**5 + 4*p**5 + (-2*p**4 + p**4 - p**4)*(-53*p - 876 + 876) - 2*p**5 + p**5 + 0*p**5. 104*p**5 Expand (4*p + p - 6*p)*(292 - 290 + 21*p - 9*p). -12*p**2 - 2*p Expand (4*v - 3*v - 3*v)*(v + 687 + 698 - 1393). -2*v**2 + 16*v Expand -21*p + 10*p - 8*p + (-4 + 1 + 1)*(3 - 3 + 2*p) + 2*p + p - p + (-2*p + 0 + 0)*(6 - 1 - 3) + p - 2*p + 3*p + (-p - 3*p + 5*p)*(0 + 2 - 1). -22*p Expand (-2*m**2 + 3*m**2 - 4*m**2)*(-3*m - 2*m + 3*m) - 14*m**3 + 4*m**3 + 7*m**3 + (0*m + m + 0*m + m**3)*(-6 + 1 + 4). 2*m**3 - m Expand (-4*s**3 - 3*s**3 + 5*s**3)*(54*s**2 - 215*s**2 + 23*s**2 - 7*s**2). 290*s**5 Expand (-129 - 81 - 10)*(-3*z**4 + 5*z**4 - 2*z + 3*z) + 2*z**4 - 6*z**4 + 3*z**4. -441*z**4 - 220*z Expand (d + 3*d**3 - d)*(-158 - 147*d + 158). -441*d**4 Expand (-1 + 1 + 3*b)*(2 - 4 + 4) + 4*b - 4*b + 2*b - b + 3*b - b + (4 - 4 + 2*b)*(6 - 25 - 3). -35*b Expand (-2 + c + 2)*(-7*c + 3*c + 6*c) + (0*c - 4*c + c)*(67 - 67 - 4*c). 14*c**2 Expand (1 - 1 - 4*p)*(1 + 4 + 1)*(2 + 1 - 2)*(0 + 0 - 2*p). 48*p**2 Expand (-1 - 21 - 24)*(4*l - 2*l - 3*l)*(-1 + 0 - 1). -92*l Expand (-32 + 4 - 10)*(-4*o - o + 4*o) - 2*o + 0 + 0. 36*o Expand (3 - 4 - 1)*(12689*b + 2*b**2 - b**3 + 0*b**3 - 12731*b). 2*b**3 - 4*b**2 + 84*b Expand (-2*r + 3*r + 0*r)*(-3*r**2 - 534*r + 534*r). -3*r**3 Expand (3 - 3 - 2*t)*((5*t + 2*t - 5*t)*(-2 + 3 - 2) + (0 + 3 - 2)*(-3*t + 5*t - 3*t)). 6*t**2 Expand (-1 - j + 1 + 1)*(-38408 - 51*j**2 + 38408). 51*j**3 - 51*j**2 Expand (2*p**2 + 0*p + 0*p)*(-60*p - 61*p + 4 + 117*p). -8*p**3 + 8*p**2 Expand (-2*o**2 + 1 - 1)*(o - 1 + 1) + 17*o + 886*o**3 + 24*o - 885*o**3. -o**3 + 41*o Expand (35*t**2 - 5*t**3 - 35*t**2)*(-1 + 0 + 2)*(-33 + 9 + 8). 80*t**3 Expand m**4 - 3*m**4 + 3*m**4 + 4*m**4 - 5*m**4 + 3*m**4 + (-2*m + 2*m + m**2)*(-m**2 - m + m) + 3 - 3 - m**4 + (-m - m + 0*m)*(507 - 26*m**3 - 507). 53*m**4 Expand (2*u - 2*u - 5*u)*(-4 + 1 + 0)*(20*u - 20*u + 12*u**2). 180*u**3 Expand (-2*f**3 - f**3 - 4*f**3)*(-16*f**2 + 17*f**2 + f + 20*f). -7*f**5 - 147*f**4 Expand 23 + 79 + 32 - z**2 + 4*z**2 - 2*z**2 + 0*z**2 + (3 - 5 + 0)*(-z**2 + 0*z**2 + 2*z**2) + 0*z**2 - z**2 - z**2. -3*z**2 + 134 Expand -2*b**5 - 73*b**5 - 5*b**5 + (-9*b**2 + 3*b**2 - 4*b**2)*(-2*b**3 - 2*b**3 + 6*b**3). -100*b**5 Expand (-5 + 3*n + 5)*(0 + 4 - 7*n - 6). -21*n**2 - 6*n Expand (-a**2 + 0*a + 0*a)*(3*a + 3*a - 4*a)*(4*a - 3*a + a) - 2*a**4 - 2*a**4 - 2*a**4. -10*a**4 Expand (-2*d + 2 + 3*d + 2*d)*(-34 - 72 - 28)*(0 + 1 - 2). 402*d + 268 Expand ((-1 + 2 + 1)*(a - 3 + 3) - 4*a - 3*a + 6*a + 57*a + 72*a - 75*a)*(0*a**2 + 0*a**2 - 2*a**2). -110*a**3 Expand (-3 + 5 - 3 + 2 + 2 - 5 + (-4 + 6 - 1)*(-3 - 1 + 2))*(5*c - c + 14*c). -72*c Expand 575*l - 275*l**5 - 575*l + 0*l**5 - 3*l**5 + l**5 + (-3*l + 6*l - 2*l)*(l**4 - l**2 + l**2) - l**5 + 1 - 1. -277*l**5 Expand (r**4 + r**4 + 0*r**4)*(64 - 15 - 27)*(-2*r + 0*r + 4*r). 88*r**5 Expand (-1 - 5 - 7 + (0 - 3 + 2)*(0 - 3 + 0))*(2 - 5*a + 0 + 0). 50*a - 20 Expand 2*w**5 - 3 + 469*w**4 + 2*w**2 - 469*w**4 + (-1 + 1 + 2*w)*(2*w - 2*w + 2*w**4) - 4*w**5 + w**5 + w**5. 4*w**5 + 2*w**2 - 3 Expand (-53 + 14 - 6 - 73)*(-1 - 4*r + 1). 472*r Expand (17*q**4 - 2*q**4 + 0*q**4 + q**3)*(1 + 0 + 4)*(-3 - 3 - 2). -600*q**4 - 40*q**3 Expand (-5*p + p + 0*p + (0 - 2*p + 0)*(-4 + 1 + 2))*(3*p**2 - 32 + 32). -6*p**3 Expand (-4 + q**3 + 4 + (-q + 13*q + q)*(q**2 + 2*q**2 - q**2))*(0 + 4 - 5). -27*q**3 Expand (3*k - 3*k - 2*k**2)*(46*k - 46*k + 26*k**3 - 1). -52*k**5 + 2*k**2 Expand 142*m - 535*m**4 - 70*m - 72*m + (-m**2 + 4*m**2 - 5*m**2)*(1 - 1 - m**2). -533*m**4 Expand (-283*v**2 + 32645*v**4 - 32644*v**4 + 4 + 16*v**2)*(-v + 1 - 1). -v**5 + 267*v**3 - 4*v Expand (-6*k + 3*k + 4*k)*(1 - 1 - 2) + 2*k - 3*k + 0*k + 146*k + 0 - 141*k + 2. 2*k + 2 Expand (-23*i**2 + 11 - 5 - 8)*(-i**3 + i**3 + i**3). -23*i**5 - 2*i**3 Expand (10 - 25 - 3)*(-u - 2*u + 5*u) + 2 + 2*u - 2 + (-u + 2*u + 0*u)*(-1 + 3 + 0). -32*u Expand (-2*z + 2*z - z)*(-20*z - 6 + 6). 20*z**2 Expand ((4 - 4 + 3)*(2 - 4 + 1) + 0 + 3 - 4)*(0*c + 0*c + 2*c)*(2*c + 0*c + 0*c) - 2*c**2 + c**2 + 4*c**2. -13*c**2 Expand (-2 + 8 - 2*c - 12)*(0*c - 4*c + c). 6*c**2 + 18*c Expand 5*f**2 - 3*f**2 - f**2 + (-f - 1 + 1)*(1 - 1 + 2*f) + (-4216 - 36*f**2 + 4216)*(0 - 2 + 1)*(4 - 4 + 1). 35*f**2 Expand (-2*n**2 + 0 + n - 1 - 3*n)*((0 - 5 + 3)*(-53 + 5 - 15) + 6 - 4 + 0). -256*n**2 - 256*n - 128 Expand (0 - 3 + 2)*(u + 2*u + 0*u) + 2*u - 4*u + 3*u + (-1 - 1 + 0)*(-u - 2 + 2) + 7*u + 2*u - 5*u. 4*u Expand -2*l + 0 + 3*l + 1 + (-94 - 102 + 76)*(0 + 0 - 2*l). 241*l + 1 Expand 137*l**2 - 730*l**3 + 730*l**3 - 2*l**4 + (3*l**3 + 3*l**3 - 4*l**3 + (3*l**2 - 2*l**2 - 2*l**2)*(0 - l + 0))*(2*l + 3*l - 4*l). l**4 + 137*l**2 Expand (-3 + 3 + g)*(18*g - 15*g - 8*g + 2)*(-2 - 5 + 6). 5*g**2 - 2*g Expand -10*u**3 + 3*u**4 + 17*u**3 - 2*u - 8*u**3 + (u**2 - 5*u**2 + 3*u**2)*(4*u**2 - u**2 + 3*u**2). -3*u**4 - u**3 - 2*u Expand (3 + 1 - 8)*(-3*v**3 - 4*v + 4*v)*((-4 - 2 + 1)*(4*v + 8*v - v) + (-3 + 2 - 1)*(-v - 2*v + 5*v)). -708*v**4 Expand (-24*g + 21*g + 15*g)*(15*g**4 - 24*g**3 + 24*g**3). 180*g**5 Expand (0*w**3 + 3*w**3 - 4*w**3)*(0*w - 2*w + 0*w) - w**4 - 2*w**2 + 2*w**2 + 3*w**4 - w**4 + 2*w**4 + 4*w**3 - 6*w**4 + 3*w**4 + 0*w**3. 2*w**4 + 4*w**3 Expand (-3 - 1 + 1)*(-b + 2*b + b)*(-10 + 10*b + 10)*(-2 - 2 - 1). 300*b**2 Expand (5*k**4 + 2*k**4 - 5*k**4)*(2*k + 2 + 2*k - 2*k)*(106 - 65 - 235)*(-6 + 5 - 1). 1552*k**5 + 1552*k**4 Expand (0*y**2 + 0*y**2 + y**2 + (-20*y - 17*y**2 + 20*y)*(8 - 3 - 1))*(-y**2 + y**2 - 2*y**2). 134*y**4 Expand (-3*i + 0*i - 2*i)*(-1 + 1 - 1)*(11*i + 10 - 10). 55*i**2 Expand (-3*b**2 + b**2 + 3*b**2)*(2 + 2*b**2 - 2) - 13 + b**4 + 35*b**2 - 35*b**2 + (-13 - 1 + 20)*(5*b**4 + 0 + 0). 33*b**4 - 13 Expand (13 - 8*p - 13)*(0*p**2 + 0*p**2 + 2*p**3) + 0*p**4 + 4*p**4 - 2*p**4 + p**4 + p**4 - 4*p**4. -16*p**4 Expand (33 - 1 - 2*p + 8)*(-2*p - 4*p**2 + 2*p) + 3*p**3 - 3*p**3 +
{ "pile_set_name": "DM Mathematics" }
t comes next: -36, -50, -60, -66, -68? -66 What is next in 68, 274, 618, 1100, 1720, 2478? 3374 What comes next: 31, 157, 377, 691, 1099? 1601 What is the next term in 49, 84, 127, 184, 261, 364? 499 What is next in -268, -543, -818? -1093 What is the next term in 482, 958, 1434, 1910, 2386? 2862 What comes next: -4883, -4882, -4881? -4880 What is next in -1, -33, -91, -181, -309? -481 What comes next: -638, -757, -864, -953, -1018, -1053, -1052? -1009 What is the next term in -6, -74, -218, -444, -758, -1166, -1674, -2288? -3014 What is next in -725, -716, -707, -698, -689? -680 What is next in -42, -111, -190, -285, -402, -547? -726 What comes next: -22, -12, 8, 38, 78? 128 What comes next: 30, 48, 62, 72, 78, 80, 78? 72 What is the next term in 116, 114, 112, 110, 108? 106 What comes next: 36, 228, 548, 996, 1572, 2276, 3108? 4068 What comes next: -23, -39, -71, -125, -207, -323, -479? -681 What is the next term in 432, 415, 400, 387, 376, 367, 360? 355 What is next in 286, 284, 268, 232, 170, 76, -56? -232 What comes next: 280, 1114, 2502, 4444? 6940 What comes next: -73, -80, -91, -106, -125? -148 What is the next term in 20, 78, 176, 314, 492, 710? 968 What is the next term in 254, 258, 262? 266 What is next in 17390, 17391, 17392, 17393? 17394 What comes next: 178, 288, 400, 514, 630, 748? 868 What is the next term in 1286, 2570, 3854? 5138 What comes next: -13, -33, -67, -115, -177, -253, -343? -447 What is the next term in -7, -7, -13, -31, -67? -127 What comes next: -18, -49, -76, -99? -118 What is next in -10287, -10286, -10285, -10284? -10283 What is next in 2297, 4593, 6889? 9185 What comes next: 126, 124, 122, 120, 118, 116? 114 What is the next term in -100, -97, -90, -79, -64? -45 What is the next term in 259, 264, 281, 316, 375, 464, 589, 756? 971 What comes next: -11, -59, -135, -239, -371, -531, -719? -935 What is the next term in 226, 228, 230, 232? 234 What comes next: 5235, 5233, 5231, 5229, 5227, 5225? 5223 What is the next term in -15, -9, -3, 3, 9, 15? 21 What is the next term in 682, 678, 672, 664? 654 What is next in -3858, -3874, -3916, -3996, -4126, -4318? -4584 What is the next term in -58, -127, -196? -265 What comes next: -257, -248, -239, -230? -221 What is the next term in -1980, -1982, -1984, -1986? -1988 What is next in 2, 3, 4? 5 What comes next: 23, 58, 141, 296, 547? 918 What is the next term in 116, 234, 350, 464, 576? 686 What is the next term in -339, -1354, -3045, -5412, -8455, -12174, -16569? -21640 What is next in 25, 121, 291, 541, 877? 1305 What comes next: 234, 252, 304, 408, 582, 844, 1212? 1704 What is the next term in 2731, 2730, 2729, 2728, 2727? 2726 What is the next term in -550, -1088, -1624, -2158, -2690, -3220, -3748? -4274 What is next in -25859, -25866, -25887, -25928, -25995? -26094 What is next in -38, -136, -298, -524, -814, -1168? -1586 What is next in -53, -94, -125, -146, -157, -158? -149 What comes next: -45, -61, -77? -93 What is next in -56, -81, -128, -209, -336, -521, -776, -1113? -1544 What comes next: 273, 1047, 2331, 4119, 6405? 9183 What is next in -219, -412, -601, -786, -967? -1144 What comes next: 392, 798, 1218, 1652, 2100? 2562 What is the next term in 98, 98, 100, 104, 110, 118? 128 What is the next term in 5, 8, 11, 14, 17, 20? 23 What is next in -11, -41, -89, -155, -239? -341 What is next in -2, 30, 94, 202, 366, 598, 910, 1314? 1822 What is next in -74, 12, 252, 724, 1506, 2676? 4312 What is next in -25, -73, -123, -175, -229? -285 What is the next term in 14, 36, 68, 110, 162? 224 What is the next term in -28, -57, -142, -313, -600, -1033, -1642, -2457? -3508 What is next in -18, -28, -52, -96, -166? -268 What comes next: -68, -98, -128, -158, -188, -218? -248 What is next in 2617, 2620, 2623, 2626? 2629 What is next in 9, 57, 151, 315, 573, 949, 1467, 2151? 3025 What comes next: 911, 909, 905, 899, 891, 881, 869? 855 What is next in 46, 42, 32, 16, -6? -34 What is next in 7435, 7419, 7385, 7327, 7239? 7115 What comes next: -2, -6, -16, -32? -54 What is next in -2468, -2470, -2472? -2474 What is the next term in 116, 206, 296? 386 What comes next: -55, -56, -49, -28, 13, 80? 179 What comes next: 226, 453, 680? 907 What comes next: 815, 1632, 2449, 3266, 4083, 4900? 5717 What is the next term in -14, -65, -152, -275, -434, -629, -860? -1127 What is the next term in 22, 44, 62, 76, 86, 92, 94? 92 What comes next: 83, 73, 49, 5, -65? -167 What is next in 104, 90, 76, 62, 48? 34 What is next in 122, 158, 194, 230, 266, 302? 338 What is the next term in -10101, -10099, -10095, -10089, -10081, -10071, -10059? -10045 What is next in -240, -389, -538, -687, -836? -985 What is the next term in -461, -434, -421, -428, -461? -526 What is the next term in 222, 444, 666, 888, 1110, 1332? 1554 What is next in -54, -39, -20, -3, 6? 1 What comes next: -898, -1785, -2646, -3469, -4242? -4953 What is next in 609, 603, 587, 555, 501, 419, 303? 147 What comes next: 11, 55, 173, 401, 775, 1331? 2105 What is next in 82, 185, 302, 439, 602, 797, 1030? 1307 What comes next: 616, 1231, 1846, 2461, 3076, 3691? 4306 What is next in -41, -51, -67, -89, -117, -151? -191 What is the next term in -139, -140, -141, -142? -143 What is next in 2094, 4194, 6294, 8394, 10494? 12594 What is next in -5, -15, -37, -77, -141, -235, -365? -537 What is next in -24, 1, 40, 99, 184? 301 What is the next term in -21, -13, 7, 45, 107? 199 What comes next: -963, -966, -971, -978, -987, -998? -1011 What comes next: 307, 304, 301, 298? 295 What is the next term in 14, -16, -102, -274, -562, -996, -1606, -2422? -3474 What is next in -15, -36, -69, -114, -171? -240 What comes next: 0, -3, -2, 3, 12? 25 What is next in 39, 95, 245, 537, 1019, 1739, 2745, 4085? 5807 What is the next term in -1356, -2708, -4060, -5412, -6764, -8116? -9468 What is the next term in -28, -104, -228, -400, -620, -888? -1204 What is next in 841, 820, 801, 784, 769? 756 What is the next term in 173, 614, 1347, 2372, 3689? 5298 What comes next: 33, 68, 103, 138, 173? 208 What is the next term in 579, 580, 581, 582, 583, 584? 585 What is the next term in -61, -152, -325, -622, -1085? -1756 What is next in -2857, -2858, -2859? -2860 What comes next: -52, -49, -44, -37, -28, -17, -4? 11 What is next in 40, -3, -46? -89 What is next in 2998, 6005, 9010, 12013, 15014? 18013 What is next in 508, 2006, 4504, 8002? 12500 What is next in 504, 1013, 1524, 2037? 2552 What is next in -1886, -3771, -5656, -7541, -9426? -11311 What is next in 36, 59, 78, 93, 104, 111? 114 What is the next term in -239, -477, -715? -953 What is the next term in 18, 61, 146, 285, 490, 773? 1146 What comes next: -15, 10, 33, 54, 73, 90, 105? 118 What is the next term in 114, 204, 296, 390? 486 What comes next: -15, -28, -65, -138, -259, -440, -693, -1030? -1463 What comes next: -3, -15, -33, -57, -87, -123, -165? -213 What is the next term in 537, 532, 525, 516? 505 What comes next: -58, -277, -878, -2053, -3994? -6893 What comes next: -6, -5, -4, -3, -2? -1 What is next in 4291, 8579, 12867, 17155, 21443, 25731? 30019 What is the next term in -45, -89, -133? -177 What is the next term in -6, -86, -322, -792, -1574, -2746, -4386? -6572 What is the next term in 14, 136, 338, 620, 982, 1424? 1946 What comes next: -49, -51, -53, -55? -57 What is the next term in 360, 1442, 3244, 5766? 9008 What is the next term in 168, 211, 326, 549, 916, 1463, 2226? 3241 What is the next term in -3297, -3296, -3293, -3288? -3281 What is next in 453, 913, 1377, 1845, 2317? 2793 What is next in -2253, -2248, -2241, -2232, -2221? -2208 What is the next term in 3, 10, 21, 36, 55, 78? 105 What is next in 882, 3487, 7820, 13875, 21646? 31127 What is next in 4351, 4348, 4345? 4342 What is next in 15, 45, 75, 105? 135 What is the next term in -53, -114, -213, -356, -549, -798, -1109? -1488 What is next in 1964, 1967, 1970, 1973, 1976? 1979 What is next in 2, 5, 16, 41, 86? 157 What is the next term in 283, 592, 903, 1216? 1531 What comes next: 5, 17, 35, 59, 89, 125, 167? 215 What comes next: 41, 87, 133? 179 What is next in -3089, -6171, -9251, -12329, -15405, -18479, -21551? -24621 What is the next term in 47, 38, 15, -28, -97, -198? -337 What is the next term in 2550, 2550, 2552, 2556? 25
{ "pile_set_name": "DM Mathematics" }
46? -546 Which is bigger: -1/1069 or 0? 0 Which is smaller: 128 or 131? 128 Is -24 less than -25? False Is 1 at least as big as -1912? True Do 0.2 and 0.151 have the same value? False Which is greater: 138 or 413/3? 138 Which is smaller: -41891/5 or -8379? -8379 Which is smaller: -1/1185 or 1? -1/1185 Are -3272 and -3273 unequal? True Is 1777/16 > 111? True Is -1513 >= -1513? True Which is bigger: -1 or 2/8725? 2/8725 Is 0.1923 > 2? False Which is smaller: 111/10 or 11? 11 Which is smaller: -59 or -55? -59 Is -179.8 bigger than -1/2? False Is -14 equal to 0.11? False Which is bigger: -398 or -399? -398 Which is bigger: 2.8 or 1? 2.8 Is 58 != 60? True Which is smaller: -3338 or -3337? -3338 Which is smaller: 101 or -11/5? -11/5 Which is bigger: -1 or -2/2435? -2/2435 Do 65 and 0.142 have different values? True Is -869/5 smaller than -174? False Which is greater: -10 or 6/23? 6/23 Is -2502 at most -2504? False Which is smaller: -809 or -2/5? -809 Do -717 and 2/7 have different values? True Is 113 at most as big as 113? True Which is smaller: 66 or 65? 65 Which is greater: 15 or 46/3? 46/3 Which is smaller: -11 or 219? -11 Which is greater: 25 or 280/11? 280/11 Which is smaller: -25 or -206? -206 Is -1/33069 smaller than 0? True Which is smaller: -7/3544 or 1? -7/3544 Is -813 > -811? False Which is greater: 22 or 70/3? 70/3 Which is greater: 2 or 1368? 1368 Does 1/8942 = 0? False Are -19 and 25 non-equal? True Is -1476/5 bigger than -296? True Is -159 > -162? True Which is smaller: -1 or -10/7? -10/7 Which is smaller: -190 or -189? -190 Which is bigger: -15931 or -15930? -15930 Which is smaller: 44 or 43? 43 Which is smaller: 214 or 212? 212 Are -1 and -10/16843 nonequal? True Which is bigger: -1 or 5/19? 5/19 Is 869 >= 875? False Is 364/75 <= 6? True Which is smaller: -66 or -54? -66 Is -10.3 not equal to -0.4? True Which is bigger: 10/103 or -1? 10/103 Which is smaller: 0 or 17/462? 0 Which is bigger: -517 or -508? -508 Which is bigger: -1 or 6/395? 6/395 Are 68 and 71 unequal? True Is -3057/44 at least -70? True Which is bigger: 419 or 418? 419 Is 268 less than 267? False Is 12848/5 < 2570? True Is -45 less than -46? False Is -263 smaller than 0.1? True Which is greater: 79/16 or 6? 6 Does 2343 = 2344? False Which is bigger: 95 or 110? 110 Which is bigger: 0.052 or 19? 19 Is -206 <= 2/7? True Is 8869/3 at most 2955? False Which is bigger: -55/101 or 0? 0 Is -2344 <= -9381/4? False Is -8/4519 >= 0? False Is 30 at most 29? False Which is bigger: -19/251 or 0? 0 Is 14/153 != -3? True Which is smaller: -2/3 or 101? -2/3 Is 100 less than or equal to 103? True Are 28 and 39 nonequal? True Is 156 greater than or equal to 149? True Is -1/2 < -250? False Is -66 at least 9? False Which is smaller: 36/61 or 1? 36/61 Are 1 and 66/85 equal? False Which is bigger: 0 or -3/25024? 0 Which is greater: 567 or 1? 567 Which is smaller: 3 or -2592? -2592 Is -3178 greater than -3176? False Is 139 greater than or equal to 141? False Do -23 and 18 have the same value? False Is -84 less than or equal to -83? True Which is smaller: 15 or -109? -109 Which is smaller: -66 or -122? -122 Which is greater: -457 or -458? -457 Is -20 greater than 18? False Which is smaller: 1/212 or 1? 1/212 Are 2247/4 and 563 nonequal? True Which is smaller: 2 or -9/14? -9/14 Are -3/5078 and 0 non-equal? True Is -1960 greater than -1957? False Which is greater: 273/71 or 5? 5 Which is bigger: 1 or 122/49? 122/49 Which is bigger: 4817/2 or 2409? 2409 Which is bigger: -1 or -4/8705? -4/8705 Which is smaller: 1/758 or 1? 1/758 Which is bigger: -0.04 or 82? 82 Which is smaller: 68 or -12? -12 Is -4736 at least as big as -4736? True Is 6 >= 168/25? False Is 31943 at least -1? True Is -89/4 at most as big as -21? True Does 0.4 = -1947? False Which is smaller: -2 or -2739? -2739 Which is smaller: 54 or -20? -20 Which is greater: 9139 or 0.2? 9139 Is 0.07 less than 0.208? True Which is bigger: 23/3 or 7? 23/3 Is -591 bigger than 0.1? False Which is bigger: 1342 or 1347? 1347 Is 39 less than 42? True Are -31 and -22 unequal? True Which is bigger: 3/1184 or 1/4? 1/4 Which is smaller: 27/2 or 14? 27/2 Is 729 < 729? False Is -3/7 at least as big as -202? True Is -10 less than or equal to -17? False Which is bigger: -64 or -67? -64 Which is smaller: 1/951 or 0? 0 Which is bigger: 1 or -1.63? 1 Which is smaller: 2092/17 or 124? 2092/17 Is -146 > -145? False Which is smaller: 1/187 or 2/7? 1/187 Which is smaller: -98 or -34? -98 Which is smaller: 20 or 14? 14 Is 1 < 279? True Is -127 at least -2145/17? False Which is bigger: -20/31 or -1? -20/31 Is -35 greater than 0.3? False Is -174/317 < -1? False Is 283 smaller than 283? False Are -1.4 and -24 equal? False Is -3 smaller than -0.008? True Which is smaller: -25/73 or 0? -25/73 Which is smaller: -629 or 15? -629 Which is smaller: 2052 or 2054? 2052 Is -59 less than or equal to -51? True Which is smaller: 1037 or 8? 8 Is -4/7 <= -321? False Is -25196 bigger than -0.1? False Which is greater: 1 or 7/165? 1 Are 1028 and 1029 equal? False Is -2 greater than or equal to -1? False Which is smaller: 5 or 0.0529? 0.0529 Do -2.2 and -157 have different values? True Do -1/4 and 1.71 have the same value? False Which is bigger: -3 or -56.23? -3 Is 0 at least as big as 0.0284? False Does -5/8 = 0.162? False Which is smaller: 291 or 294? 291 Which is smaller: 137 or 2? 2 Which is smaller: -14/155 or 1? -14/155 Which is bigger: -2776 or -2778? -2776 Which is bigger: -1 or 10? 10 Is 1/92079 <= -1? False Which is smaller: -442 or -439? -442 Is -5 at most as big as -101? False Is 212/23 > 8? True Is -242 less than 10? True Which is greater: -436/7 or 2? 2 Which is smaller: 5911/2 or 2955? 2955 Is -533 >= -528? False Which is bigger: -88 or -260/3? -260/3 Are 1 and -1/3 non-equal? True Which is smaller: 0 or -1/12285? -1/12285 Which is greater: -694 or -695? -694 Which is greater: -1 or -56/213? -56/213 Is -4/25 < 0.2? True Is 19714 greater than or equal to 19714? True Does 0 = 31085? False Which is smaller: -3/655 or -1? -1 Is 91 < 92? True Which is bigger: -29/2 or -16? -29/2 Which is bigger: -2.9 or 16? 16 Is 89 less than or equal to 614/7? False Which is bigger: -15 or -3? -3 Do 14 and 15 have different values? True Is -5 not equal to -202? True Are -1 and 3/4363 nonequal? True Are 7.389 and -0.1 equal? False Which is smaller: 4 or -17/5? -17/5 Which is smaller: -2 or 28? -2 Is 35 < 489/14? False Is -78/7 less than -10? True Which is smaller: 139 or 138? 138 Which is bigger: 170 or 169? 170 Which is greater: -22 or -21? -21 Is -0.279 at least as big as 0? False Which is bigger: 0 or -3/169? 0 Is -2 < -246/119? False Which is greater: -42 or -206/5? -206/5 Is 15 at most 15? True Are -74 and -76 non-equal? True Is -317 <= -75? True Is 637 equal to 5738/9? False Is 807/11 <= 74? True Is -361/5 equal to -71? False Is -768 less than or equal to -767? True Does 946 = 947? False Which is smaller: 2/5 or -1824? -1824 Is -96 bigger than -577/6? True Which is greater: 2242 or 11206/5? 2242 Is 12 greater than -16? True Which is smaller: 1 or -108/1027? -108/1027 Is 2025 less than or equal to 2025? True Which is smaller: -336 or 2/5? -336 Is -9/160 greater than -2/13? True Do -3.6 and -3 have different values? True Is -1 at most -9/2972? True Is 1 at most as big as -1/2603? False Which is greater: -47 or -34? -34 Are -66 and -738/11 equal? False Is 363 at most 366? True Which is smaller: -27 or -41? -41 Which is bigger: 286 or 294? 294 Which is bigger: -88/9 or -9? -9 Which is smaller: -54 or 3? -54 Is 18.3 smaller than -15? False Which is smaller: -166 or -167? -167 Is -1 >= 14/69? False Are -445 and 1 non-equal? True Is 1 >= 38173? False Which is bigger: -2/739 or 0? 0 Are -0.14 and -774 equal? False Is 177 not equal to 178? True Which is smaller: -2157 or -2156? -2157 Which is smaller: -0.08 or -466? -466 Which is greater: 0 or 7/92? 7/92 Is -0.13 >= 126? False Is 78 less than 79? True Which is smaller: -1.4 or -3/41? -1.4 Do 18 and 22 have the same value? False Which is smaller: -0.03 or 7.11? -0.03 Is -39 at least as big as -364/9? True Which is bigger: 202 or 203? 203 Which is smaller: 1/426 or 1? 1/426 Do 32 and -752 have the same value? False Which is bigger: 6/101 or -
{ "pile_set_name": "DM Mathematics" }
b, 1 m, and 1 u when three letters picked without replacement from omwmoomowbowuoolmbou. 4/285 Two letters picked without replacement from hkkhkh. What is prob of picking 1 k and 1 h? 3/5 What is prob of picking 1 o, 1 u, and 1 i when three letters picked without replacement from iddadou? 1/35 Three letters picked without replacement from {e: 7, o: 8, g: 2, y: 1}. What is prob of picking 2 g and 1 y? 1/816 What is prob of picking 1 m and 3 v when four letters picked without replacement from ievssvelsvllm? 1/715 What is prob of picking 1 l and 1 h when two letters picked without replacement from fllifllhi? 1/9 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 2, k: 1, i: 4}. 2/21 Four letters picked without replacement from wnwnwwwnnw. Give prob of picking 4 w. 1/14 What is prob of picking 2 b when two letters picked without replacement from xbxxbxxxx? 1/36 Two letters picked without replacement from fffgfjztetfffteze. What is prob of picking 1 e and 1 z? 3/68 Four letters picked without replacement from {j: 5, a: 9}. Give prob of picking 4 a. 18/143 Two letters picked without replacement from fffppffppfffffppfff. What is prob of picking 2 p? 5/57 Four letters picked without replacement from jqjjjjjvqjjqvpvqqq. What is prob of picking 3 q and 1 j? 8/153 Two letters picked without replacement from {b: 1, l: 10, u: 1, h: 1, f: 1}. What is prob of picking 1 u and 1 h? 1/91 Calculate prob of picking 1 e, 1 w, and 1 g when three letters picked without replacement from egkrw. 1/10 Two letters picked without replacement from bpbbtddebbdedbbbbe. Give prob of picking 2 e. 1/51 Two letters picked without replacement from dsyqsqdddqt. Give prob of picking 2 d. 6/55 What is prob of picking 2 o when two letters picked without replacement from dyoprohhoyroryyhr? 3/68 Three letters picked without replacement from bbxbaaaaba. Give prob of picking 2 a and 1 x. 1/12 Two letters picked without replacement from wglgb. What is prob of picking 1 w and 1 l? 1/10 Three letters picked without replacement from bbbebbaabtbe. Give prob of picking 1 a, 1 b, and 1 e. 7/55 Two letters picked without replacement from yvyyyyvmyyyyynvvy. What is prob of picking 1 y and 1 m? 11/136 What is prob of picking 3 y when three letters picked without replacement from {n: 3, y: 5}? 5/28 What is prob of picking 3 j when three letters picked without replacement from {a: 8, h: 2, j: 4}? 1/91 Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, e: 2}. 3/10 Calculate prob of picking 1 i and 1 p when two letters picked without replacement from {k: 4, p: 5, i: 7}. 7/24 Two letters picked without replacement from znnnnznznnnnzz. What is prob of picking 2 z? 10/91 What is prob of picking 1 i, 1 g, 1 k, and 1 v when four letters picked without replacement from {p: 5, k: 1, g: 3, i: 5, v: 3, x: 1}? 1/68 What is prob of picking 2 j when two letters picked without replacement from jjajajaj? 5/14 Four letters picked without replacement from kjkrkjjkkkrk. What is prob of picking 2 r and 2 k? 7/165 Calculate prob of picking 1 s and 3 p when four letters picked without replacement from {n: 2, f: 1, s: 2, p: 6}. 4/33 Three letters picked without replacement from yashhyhhhiaahy. Give prob of picking 3 h. 5/91 What is prob of picking 1 r and 2 m when three letters picked without replacement from mrrtmttnt? 1/42 Four letters picked without replacement from eeddeeeddd. Give prob of picking 1 d and 3 e. 5/21 Three letters picked without replacement from {m: 7, z: 12}. Give prob of picking 1 z and 2 m. 84/323 Three letters picked without replacement from iigxxtxgwttxwqwwxwx. What is prob of picking 1 i, 1 q, and 1 g? 4/969 Two letters picked without replacement from weewwrprwpwgure. What is prob of picking 1 u and 1 r? 1/35 What is prob of picking 1 t and 1 z when two letters picked without replacement from {u: 2, z: 2, r: 4, t: 3}? 6/55 What is prob of picking 1 x, 2 u, and 1 v when four letters picked without replacement from kvkkxxkuukikxk? 3/1001 Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {d: 2, l: 4, x: 2}. 1/7 Four letters picked without replacement from uuuaaauu. What is prob of picking 4 u? 1/14 Two letters picked without replacement from yyyh. What is prob of picking 2 y? 1/2 Three letters picked without replacement from pppppgpgpppppgpp. Give prob of picking 3 p. 143/280 Two letters picked without replacement from {h: 1, t: 6, e: 3, z: 5}. Give prob of picking 2 t. 1/7 Two letters picked without replacement from {m: 3, e: 17}. Give prob of picking 2 m. 3/190 Four letters picked without replacement from occoiocjjjcocojcoc. What is prob of picking 3 o and 1 c? 7/153 Three letters picked without replacement from {p: 2, d: 1, y: 1, k: 1, r: 2, h: 1}. What is prob of picking 1 k, 1 y, and 1 r? 1/28 Three letters picked without replacement from zxxxzz. What is prob of picking 2 z and 1 x? 9/20 Four letters picked without replacement from {m: 3, a: 3, d: 1}. What is prob of picking 2 m and 2 a? 9/35 What is prob of picking 3 g and 1 y when four letters picked without replacement from {g: 3, y: 5, a: 2, o: 2}? 1/99 Four letters picked without replacement from fvvvvvvfvv. Give prob of picking 3 v and 1 f. 8/15 What is prob of picking 2 m when two letters picked without replacement from wuudqmmw? 1/28 Three letters picked without replacement from hkaraaahzwwz. Give prob of picking 1 z and 2 h. 1/110 Calculate prob of picking 1 l, 1 h, and 1 s when three letters picked without replacement from {b: 2, h: 2, l: 6, g: 1, s: 4, u: 2}. 6/85 Four letters picked without replacement from {a: 7, p: 7, g: 5}. What is prob of picking 3 p and 1 g? 175/3876 Two letters picked without replacement from {x: 7, e: 9}. Give prob of picking 2 x. 7/40 Two letters picked without replacement from lclcll. What is prob of picking 1 l and 1 c? 8/15 Calculate prob of picking 1 k, 2 d, and 1 n when four letters picked without replacement from {f: 2, n: 3, d: 3, k: 1, t: 1}. 3/70 Two letters picked without replacement from pppppppppppppppppyy. Give prob of picking 1 y and 1 p. 34/171 What is prob of picking 2 l when two letters picked without replacement from {l: 9}? 1 Calculate prob of picking 3 d when three letters picked without replacement from ddtkcckddkkdccd. 4/91 Three letters picked without replacement from iqiqumqfmqmiiii. What is prob of picking 1 f and 2 i? 3/91 Two letters picked without replacement from tet. What is prob of picking 2 t? 1/3 What is prob of picking 1 n and 2 w when three letters picked without replacement from krxkrmwnxmmmwm? 1/364 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {n: 1, o: 2, u: 1, i: 5}. 1/36 Two letters picked without replacement from {k: 1, s: 1, n: 1, c: 4, z: 1}. What is prob of picking 1 z and 1 n? 1/28 Calculate prob of picking 2 c when two letters picked without replacement from cffccfecrrffdrfdce. 10/153 Calculate prob of picking 2 g and 1 x when three letters picked without replacement from wkggwxwgggwgwgw. 3/65 Two letters picked without replacement from mnznmnnznzmnz. Give prob of picking 1 n and 1 m. 3/13 Calculate prob of picking 1 v, 2 r, and 1 i when four letters picked without replacement from vvnvqnvvvivnrvvnrqv. 5/1938 Calculate prob of picking 2 r when two letters picked without replacement from {r: 6, b: 6}. 5/22 Two letters picked without replacement from psssupf. Give prob of picking 1 s and 1 u. 1/7 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {s: 6, l: 1, k: 3, j: 3, p: 1, o: 1}. 3/35 Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {c: 9, a: 1, p: 5, x: 1, g: 2}. 5/153 Four letters picked without replacement from {u: 5, s: 1, p: 4, d: 4, k: 1}. Give prob of picking 1 k, 1 p, and 2 u. 8/273 Four letters picked without replacement from {l: 2, q: 2, p: 2, m: 4, e: 4}. Give prob of picking 1 p, 1 e, 1 q, and 1 l. 32/1001 What is prob of picking 1 h and 2 r when three letters picked without replacement from {h: 4, r: 5, q: 4, b: 2}? 8/91 Calculate prob of picking 2 f when two letters picked without replacement from {l: 1, f: 7, q: 1}. 7/
{ "pile_set_name": "DM Mathematics" }
pose -o*h + 2354 = -996. What is the tens digit of h? 7 Let r(i) = -i**3 + 24*i**2 - 14*i + 43. Let k(t) = t**2 + 7*t - 39. Let l be k(-12). What is the units digit of r(l)? 2 Suppose 0 = 3*z - 2*t - 740, -4*z + 3*t = z - 1233. Let m = z + -74. What is the hundreds digit of m? 1 Let q be (-90)/(-4) - ((-17)/(-2) + -8). What is the hundreds digit of 2*4/(-44) - (-4140)/q? 1 Suppose 4844 = j + 2*f, -2*j - 3*f = 2*j - 19351. Suppose -7*h + j = -3209. What is the thousands digit of h? 1 Suppose 0 = -3*w + g - 2552 + 7102, g = 2*w - 3034. Suppose 0 = -16*f + 660 + w. What is the hundreds digit of f? 1 Let n(b) = -b**3 + 3*b**2 + 46*b + 71298. What is the units digit of n(0)? 8 Let n(h) = -6 + 11*h**3 - 6*h**2 - 14*h - 10*h**3 + 17. Let u be n(8). What is the tens digit of (-3)/(u/(-331)) + 52/234? 3 Let v = 5019 - -2077. What is the units digit of v? 6 Suppose 5*b - 10*b - 4*x + 17721 = 0, x = -1. Let u = 13 + -27. What is the hundreds digit of 4/u - 0 - b/(-35)? 1 What is the tens digit of 142/((4/(-5 + 4))/(-153 - -19))? 5 Let n = 1083 + 289. Suppose -2*r + n = 5*s, -s + 142 + 130 = r. What is the hundreds digit of s? 2 Suppose 34*z + 20 = 38*z. Suppose 3*k + 0*q + z*q - 842 = 0, -2*k - 4*q + 558 = 0. What is the tens digit of k? 8 Let p = 1647 - 183. What is the units digit of p? 4 Let m(s) = -564*s + 212. What is the units digit of m(-1)? 6 Let z(p) = 104*p**2 - p + 2. Let s be (-8)/(-6)*(119/14 - 7). What is the tens digit of z(s)? 1 Let t be (-9)/(-6)*((-12)/4 + 623). What is the tens digit of (t/40 + -3)*(-8)/(-3)? 5 What is the thousands digit of -4 + (-349657)/(-38) + 3/6? 9 What is the thousands digit of (17/3 + -6)*-13302? 4 What is the hundreds digit of (2/(-7) + (-1048)/(-140))/((-60)/(-258800))? 0 Let m = 170 + -268. Let q be m*3/(6/(-4)). Let i = -121 + q. What is the tens digit of i? 7 Let q(t) = 2*t**2 + 9*t - 2. Let s be q(18). Suppose 116 = 12*d - s. What is the units digit of d? 7 Suppose -5*y + o = -126010, 4*y = -o + 58562 + 42246. What is the tens digit of y? 0 Let n(s) = 3*s**3 - 25*s**2 + 28*s + 364. What is the hundreds digit of n(23)? 2 Suppose 4*n - 27498 = -5*r, 2*r + n - 6463 = 4538. What is the units digit of r? 2 Suppose 127 + 3 = 13*t. Suppose -5*o + 63 = 3*p - t*o, -105 = -5*p - o. What is the units digit of p? 1 Suppose -w = 2*w - 495. Suppose -u = -4*p + p - 15, -4*p - 20 = 0. Suppose u = 5*o + 6*o - w. What is the units digit of o? 5 Let a(x) = 24 - 9 - 2*x - x. Let b be a(7). What is the units digit of 61 - (-1 - b/2*1)? 9 Suppose 0 = -7*n + 2*n - 3*p - 504, -4*p - 210 = 2*n. Let k = n - -84. Let m(o) = o**2 + 6*o. What is the units digit of m(k)? 5 Suppose 0*d = -y - 4*d - 2179, 3*d - 8773 = 4*y. Let o = 3102 + y. What is the hundreds digit of o? 9 Suppose 2*t = 3*f - 3 + 5, 0 = f + 2*t - 2. Suppose f = -3*w - 3*s + 969, w + 5*s - 319 = -0*s. What is the hundreds digit of w? 3 Let y(v) = -6*v**2 - v**3 + 15 + 14283*v + 34*v**3 - 14276*v. What is the units digit of y(3)? 3 Suppose t - 10687 = 4726. What is the ten thousands digit of t? 1 Let l = 509 - 656. Suppose -3*b = 2*b - 1150. Let w = b + l. What is the tens digit of w? 8 Suppose -w + 2*s = -10, 5*w + 5*s - 2 = 48. Suppose -w*k + 14*k - 967 = 5*v, -711 = -3*k - v. What is the tens digit of k? 3 Suppose 0 = 3*b - 2*u - 3892, u = -b + 4*u + 1309. Let x = -543 + b. What is the units digit of x? 1 Let u(r) = -13*r - 21. Let b be u(-6). Let h = b - 60. What is the units digit of (-58)/((-20)/(-30) - (-4)/h)? 7 Let i(w) = -3*w - 155. Let o be i(0). Let j = 195 - o. What is the units digit of j? 0 Suppose 3*h + d - 797 = 0, -534 = -2*h - 0*h - 2*d. Suppose 10*m - h = 15. What is the tens digit of m? 2 Let a(t) = 12*t + 77. Let q be a(-6). Suppose 0 = q*j - s - 9240, 2*j - 3174 = -s + 529. What is the units digit of j? 9 Suppose -9*w - 4 + 22 = 0. Suppose 2*x = -w*x - 12, 0 = 3*z - 2*x - 96. What is the tens digit of z? 3 Let n be (-25)/(-100) + 1/(-4). Suppose n = -5*j + 15, -3*j - 224 = 3*u - 2462. What is the units digit of u? 3 Suppose 4*v - 27829 = 3*c, -5*v + 6*v - 6956 = 2*c. What is the units digit of v? 8 Let i be 12/42 - (-2)/(-7). Let f(a) = 4*a + 42 + 8*a - 25 - 14*a - 2*a**2. What is the tens digit of f(i)? 1 Let m = -159 + 187. What is the units digit of (3 + 458/4)/(7/m)? 0 Let v = 263 + -247. Suppose -v*x = 11*x - 8883. What is the tens digit of x? 2 Suppose 151*b = f + 147*b - 26219, 0 = 5*f + 3*b - 131003. What is the thousands digit of f? 6 Suppose 3*y + 6 = 0, -28*y + 25*y + 52246 = 4*v. What is the units digit of v? 3 Let z(o) = 5*o**2 + 43*o - 6549. What is the thousands digit of z(-101)? 0 Suppose 1350 - 8182 = -16*v. Suppose 0 = 3*n - v + 94. What is the tens digit of n? 1 Suppose 12 = 73*b - 67*b. Suppose -b*o + 692 = -2*t + 6*t, 0 = -t + 2*o + 163. Suppose 0 = 2*z - t - 75. What is the hundreds digit of z? 1 Let i(n) = 6*n**2 - 36*n + 611. What is the tens digit of i(49)? 5 Let q be 12952/(-26) - (5 + (-469)/91). Let s = q - -1419. What is the units digit of s? 1 Suppose -5*l = -5*s + 3 + 2, -5 = -4*l - 5*s. Suppose -5*v + 5 = 0, 2*x + v - 6*v - 203 = l. Suppose -16 = 4*z, w - 3*w + z = -x. What is the tens digit of w? 5 Let h be -4 - (848*-1 + 4/(-2)). Suppose 4*m = -5*u + 2087, -2*u + 5*m + h = m. What is the units digit of u? 9 Let j(d) = 2338*d**2 - 19*d - 25. What is the units digit of j(-2)? 5 Let b(j) = -3*j**2 - 6*j - 3. Let c be b(-2). What is the hundreds digit of (c/(2 + -3))/(10/1570)? 4 Suppose 4*r - 330 = 4*a + 594, 0 = -a + 4*r - 234. Suppose 17*i = 26*i + 819. Let c = i - a. What is the hundreds digit of c? 1 Let j(c) = -20*c + 313. Let v be j(16). Let n(o) = -o + 1. Let t(r) = r**3 + 7*r**2 - 6*r + 27. Let p(y) = -5*n(y) + t(y). What is the tens digit of p(v)? 2 Let m = -3 - -5. Let o be (3 - m)/(2/310). Let a = o - 91. What is the tens digit of a? 6 Let b(f) = 7*f**2 + 220*f + 703. What is the tens digit of b(43)? 0 Let x(r) = 223*r + 1. Let h be x(1). Let a be 29148/231 + 14/(-77). Let v = h - a. What is the tens digit of v? 9 Suppose 0 = 4*p - w - 3*w - 4, -5 = 3*p - 5*w. Suppose -p*i = 1 - 21. Let h(g) = 53*g - 30. What is the hundreds digit of h(i)? 1 Let u(v) = -v**2 - 17*v - 61. Let d be u(-11). Suppose d*r - 4224 = -7*r. What is the tens digit of r? 5 Suppose 0 = -2*s + 20 - 0. Let a = s + 94. Let x = a - 21. What is the tens digit of x? 8 Suppose 11*l - 6*l - 245 = 0. Suppose -l*v - 1020 = -55*v. What is the hundreds digit of v? 1 Let a = 708 - 448. Let q = 918 + -1027. Let i = q + a. What is the tens digit of i? 5 Let h = -79 - -91. Let t be (-6)/(-8) - (-1023)/h - 2. Suppose t = w - 1. What is the units digit of w? 5 Suppose -1941 = -5*u - 2*q, -4*q + 2*q = -5*u + 1929. Let c = 934 - u. What is the units digit of c? 7 Suppose 3236131 = -249*f + 13199368. What is the thousands digit of f? 0 Suppose 0 = 13*h + 11*h - 306840. What is the units digit of h? 5 Suppose 4*i + 60 = -2*q, 2*i - 115 - 45 = 4*q. Let d = 107 + q. What is the units digit of d? 9 Let j = 296 + -299. What is the tens digit of (((-1)/j)/1)/(104/267384)? 5 Let v(j) = 376*j**2 + 17*j - 82. What is the units digit of v(-6)? 2 Let t be ((-22014)/(-30))/(2 + 38/(-20)). Suppose -16*c + 10*c + t = 0. What is the tens digit of c? 2 Let v(c) = 12516*c - 1245. What is the tens digit of v(4)? 1 Let o(n) = 0*n + n**2 - 3*n + n - 4*n - 2. Let i be o(7). Let h(v) = 2*v**2 + 6*v. What is the tens digit of h(i)? 8 Suppose -2*d - 3*s = -7598, 0 = -d - 19*s + 21*s + 3778. What is the tens digit of d? 9 Let q = 1161 - 991. What is the units digit of q/(-595) - 12413/(-7)? 3 Let o(u) = u**3 - 14*u**2 - u + 14. Let l(k) = k**2 + 14*k - 17. Let t be l(-16). Let p be o(t). Suppose 17*m = 15*m + p. What is the tens digit of m? 1 Suppose 30*y - 22*y = 0. Suppose -19*d + 7*d + 4032 = y. What is the units digit of d? 6 Suppose 0 = -5*l + 3*w + 53532, 16*w = 5*l + 14*w - 53538. What is the tens digit of l? 1 Let w(r) = 40*r**3 - 2*r + 3. Suppose 0 = 3*n - 11 + 5. Let q(j) = 3*j - 5. Let x be q(n). What is the units digit of w(x)? 1 Suppose -2*q - 5*z = -25069, -16834 = 3*q + 4*z - 54427. What is the ten thousands digit of q? 1 Suppose -5*i + 2618*r + 266401 = 2621*r, 3*r = -2*i + 106573. What is the ten thousands digit of i? 5 Suppose 1693 + 5178 = r. What is the hu
{ "pile_set_name": "DM Mathematics" }
r be x(-5). Find h, given that 2*h**2 - 3*h - h**2 + r - h**3 + 2*h**2 = 0. 1 Let j(l) be the second derivative of -l**6/165 + l**4/66 - 3*l. Factor j(r). -2*r**2*(r - 1)*(r + 1)/11 Let w(t) be the first derivative of 3*t**2 + 6*t**4 + 0*t + 6 + 7*t**3 + 9/5*t**5. Factor w(g). 3*g*(g + 1)**2*(3*g + 2) Suppose -6*k + 165 = -k. Suppose -k*g = -35*g. Factor 0 + g*j - 21/4*j**4 - 15/4*j**3 + 3/2*j**2. -3*j**2*(j + 1)*(7*j - 2)/4 Let k be 2/(-2) + (5 - 4). Suppose k = -3*o - c, 10*c = 5*o + 5*c. Let 0 - 2/5*s + o*s**2 + 2/5*s**3 = 0. What is s? -1, 0, 1 Let u be (15517/(-4))/((-94765)/(-44)). Let y = -2/1723 - u. Suppose -3/5 - y*l**4 + 6/5*l - 6/5*l**3 + 12/5*l**2 = 0. Calculate l. -1, 1/3, 1 Let m(q) be the second derivative of -q**7/168 - q**6/120 + q**5/40 + q**4/24 - q**3/24 - q**2/8 - 34*q. Factor m(k). -(k - 1)**2*(k + 1)**3/4 Suppose 0 = -n - 5 + 13. Suppose 3*r = -5*b - 3 - 9, -3*b + 2*r = -n. Let 0*x - 2/5*x**3 + 2/5*x**2 + b = 0. Calculate x. 0, 1 Let s(j) be the third derivative of j**2 + 5/96*j**4 + 1/12*j**3 + 1/60*j**5 + 0 + 0*j + 1/480*j**6. Solve s(q) = 0. -2, -1 Suppose -11 = -h - 2*x, -2*h + 7*x - 5 = 2*x. Factor -4*k**4 - 5*k**3 + 5*k**5 - 3*k**5 + 2*k**3 + h*k**3. 2*k**3*(k - 1)**2 Let n(g) be the first derivative of -3*g**4/4 + 9*g**2/2 + 6*g + 12. Factor n(q). -3*(q - 2)*(q + 1)**2 Let m(u) be the second derivative of u**7/168 - u**5/40 + u**3/24 - 10*u. Determine f, given that m(f) = 0. -1, 0, 1 Let o(t) be the second derivative of -t**9/22680 - t**8/5040 - t**7/3780 + t**4/6 + 3*t. Let v(u) be the third derivative of o(u). Solve v(y) = 0 for y. -1, 0 Let k(g) = g**2 - 3*g. Suppose v = -2*w + 4, w + 4 - 7 = 0. Let h(j) = -2*j**2 + 4*j. Let f(p) = v*h(p) - 3*k(p). Solve f(y) = 0 for y. -1, 0 Let m(s) = -12*s**3 + 16*s**2 - 9*s + 5. Let d(z) = 13*z**3 - 16*z**2 + 10*z - 6. Let y(l) = 5*d(l) + 6*m(l). Determine v, given that y(v) = 0. 0, 2/7, 2 Let r be (6/16)/(2/16*6). Factor 2*f - 3*f**2 - r - 1/2*f**4 + 2*f**3. -(f - 1)**4/2 Suppose 81*j**2 - 158*j**2 - 25 + 20*j + 82*j**2 = 0. What is j? -5, 1 Suppose -3 = o - 7. Let t(c) be the first derivative of -3*c - c**3 + 2 + c + c + o*c. Solve t(a) = 0. -1, 1 Let n(a) = a**3 + 6*a**2 - 7*a - 9. Let r be n(-7). Let g = r - -12. What is t in -4/5*t**4 + 0 + 0*t - 1/5*t**g + 1/5*t**2 + 4/5*t**5 = 0? -1/2, 0, 1/2, 1 Let m be (0 + -2)/(2/(-8)). Suppose -m = -3*c - 2. Factor s**c - s**2 + s**3 - s**2 - s + s**4. s*(s - 1)*(s + 1)**2 Let o(w) = -w + 7*w**2 - 4 + 2*w - w**3 + 0*w. Let f be o(7). Factor v**2 + 9*v + 0*v - f*v + 2*v**2. 3*v*(v + 2) Suppose -3*l = -5*g - 51, -5*l - 5*g + 65 + 60 = 0. Let y = l - 16. Find i such that -2*i**5 - y*i**2 - i**5 + 5*i**2 + 3*i**3 - 3*i**4 + 4*i**5 = 0. 0, 1 Let w(b) be the third derivative of 1/48*b**4 + 0*b - 1/240*b**6 - 1/6*b**3 + 0 - 1/420*b**7 + 1/40*b**5 + b**2. Suppose w(z) = 0. What is z? -2, -1, 1 Let t(d) be the second derivative of 0*d**2 + 6*d + 0*d**5 + 0 + 2/15*d**4 + 0*d**3 - 1/105*d**7 - 1/25*d**6. Suppose t(q) = 0. Calculate q. -2, 0, 1 Factor 0*k**2 + 0*k + 4/7*k**3 + 0 - 6/7*k**4. -2*k**3*(3*k - 2)/7 Let m(o) = -3*o**2 + 2*o - 4. Let p(b) be the first derivative of 7*b**3/3 - 3*b**2/2 + 8*b + 2. Let i(z) = 5*m(z) + 2*p(z). Factor i(v). -(v - 2)**2 Let v be (0/9)/(11 + -10). Factor v - 1/4*k**3 + 1/4*k - 1/4*k**4 + 1/4*k**2. -k*(k - 1)*(k + 1)**2/4 Determine m, given that 231*m**3 + 54*m**2 - 100/3*m - 8 - 245/3*m**4 = 0. -2/7, 2/5, 3 Let m(b) be the first derivative of b**6/420 + b**5/210 - b**4/84 - b**3/21 + 2*b**2 - 1. Let s(k) be the second derivative of m(k). Solve s(l) = 0. -1, 1 Let d be 17 + -20 + 3 + 0. Let s(h) be the first derivative of d*h + 0*h**3 + 0*h**4 - 1 - 1/15*h**6 + 0*h**5 + 0*h**2. Solve s(j) = 0 for j. 0 Let q(o) be the third derivative of 0 - 1/8*o**3 + o**2 + 3/80*o**5 - 1/70*o**7 - 1/16*o**4 + 1/40*o**6 + 0*o. Suppose q(r) = 0. Calculate r. -1/2, 1 Factor -181 + 19 - 2*k**5 - 16*k**3 - 116*k**3 - 26*k**4 - 378*k - 324*k**2. -2*(k + 1)*(k + 3)**4 Determine w so that 0 - 2/9*w**4 - 16/9*w**2 - 8/9*w - 10/9*w**3 = 0. -2, -1, 0 Let r be (12/45)/(4*8/320). Factor -4/3*j - 8/3*j**2 + 4/3*j**3 + r. 4*(j - 2)*(j - 1)*(j + 1)/3 Let f be (1 - 5)*((-20)/48)/5. Determine a, given that f*a**4 + 0*a + 1/3*a**2 + 0 + 2/3*a**3 = 0. -1, 0 Let h(m) be the first derivative of m**4/8 + m**3/3 + m**2/4 + 8. Factor h(z). z*(z + 1)**2/2 Let k(z) be the second derivative of 7*z**5/4 + 115*z**4/12 - 55*z**3/3 - 20*z**2 - 25*z. Find o, given that k(o) = 0. -4, -2/7, 1 Let y = -59 + 59. Factor 2/11*j**3 + y*j + 0*j**2 + 2/11*j**5 - 4/11*j**4 + 0. 2*j**3*(j - 1)**2/11 Let u(f) = f**3 + 21*f**2 - 20*f + 46. Let t be u(-22). Factor 0*y + 2/3*y**4 + 0 - 2/3*y**t + 2/3*y**5 - 2/3*y**3. 2*y**2*(y - 1)*(y + 1)**2/3 Let i = -2838/5 + 568. Factor -i + 12/5*p**3 + 3/5*p + 17/5*p**2. (p + 1)*(3*p + 2)*(4*p - 1)/5 Let i be (-1)/(-4) - 3/12. Suppose -4*u - 5*h + 8 = 0, i*h = -5*u + 3*h + 10. Find f, given that 1/4*f**u + f + 1 = 0. -2 Let f be -4 + 4 + 4 + 1. Suppose 2*i**2 + 0*i**3 - f*i**3 + 0*i**3 + 3*i**3 = 0. What is i? 0, 1 Let q(h) be the first derivative of -h**4/24 - h**3/18 + h**2/12 + h/6 - 16. Factor q(a). -(a - 1)*(a + 1)**2/6 Factor 1 - 148*x**4 - 4*x**3 + 2*x**3 + 147*x**4 + 2*x. -(x - 1)*(x + 1)**3 Let v = 12 + -17. Let p(w) = w**3 + w**2 + w. Let y(u) = 9*u**2 + 10*u - 2 + 2*u**2 + 0 - 4*u**3. Let n(a) = v*p(a) + y(a). Factor n(q). -(q - 1)*(3*q - 1)*(3*q + 2) Let i(r) be the second derivative of r**7/63 + r**6/9 + 7*r**5/30 - r**4/18 - 8*r**3/9 - 4*r**2/3 - 10*r - 1. Let i(f) = 0. Calculate f. -2, -1, 1 Suppose -6 = -5*y + 2*y. Factor -y*c**2 - 21*c**3 + 4*c**2 + 4*c**2 + 15*c**4. 3*c**2*(c - 1)*(5*c - 2) Suppose 0 = w + 4*w - 40. Let x = -3 + w. Solve 4*o**2 - 2*o**4 - 3 + 2*o - 4*o**3 - 1 + 2*o**x + 2 = 0 for o. -1, 1 Let r be ((-22)/11)/((-1)/2). Factor 24*t**2 - t + r*t + 0*t - 9*t**3 - 6 + 24*t**3. 3*(t + 1)**2*(5*t - 2) Determine i so that 15*i**2 - 6*i**4 + 24*i**3 - 48 + 68*i - 87*i**2 + 28*i + 3*i**4 = 0. 2 Let s be (5 - (8 + -3)) + 5. Let b(h) be the third derivative of 0*h**3 + 0 + 0*h**s + 0*h + 1/735*h**7 - 2*h**2 + 0*h**4 + 1/420*h**6. Factor b(z). 2*z**3*(z + 1)/7 Let c(y) be the third derivative of -y**7/210 + y**6/180 + y**5/60 - y**4/36 - 7*y**2. Find g such that c(g) = 0. -1, 0, 2/3, 1 Let n(s) be the first derivative of 7*s**5/80 + 5*s**4/48 - s**3/12 + 4*s - 3. Let k(g) be the first derivative of n(g). Let k(q) = 0. What is q? -1, 0, 2/7 Let n(w) be the second derivative of 0*w**3 + 0 + 5*w - 1/40*w**6 + 0*w**2 + 3/80*w**5 + 1/16*w**4 - 1/56*w**7. Factor n(q). -3*q**2*(q - 1)*(q + 1)**2/4 Suppose 16*x - 26 = 22. Let w(b) be the third derivative of 0 + 1/420*b**6 + 0*b - 1/84*b**4 - b**2 + 1/105*b**5 - 2/21*b**x. Factor w(z). 2*(z - 1)*(z + 1)*(z + 2)/7 Let r(i) = 20*i**2 - 3*i - 17. Let a = -1 + 7. Let m(k) = -5 + 8*k**2 - k - k**2 - 1. Let j(p) = a*r(p) - 17*m(p). Factor j(x). x*(x - 1) Factor -35/6 - 20/3*y - 5/6*y**2. -5*(y + 1)*(y + 7)/6 Let o be ((-8)/(-10))/(2/5). Factor 2*r**3 + 2*r + r**3 - 2*r - 6*r**o. 3*r**2*(r - 2) Let r(y) = -y**4 - y + 1. Let t(d) = -5*d**4 + 4*d**3 - 4*d**2 - 4*d + 4. Let w(s) = -4*r(s) + t(s). Factor w(j). -j**2*(j - 2)**2 Let i(m) be the second derivative of m**6/10 - 7*m**5/20 + m**4/4 + m**3/2 - m**2 + 12*m. Factor i(j). (j - 1)**3*(3*j + 2) Solve -16/3*d - 10 - 2/3*d**2 = 0 for d. -5, -3 Let a(r) = r**2 + 2*r - 4. Let f be (-2)/3*(-117)/(-26). Let i(p) = -p**2 - 2*p + 3. Let k(o) = f*a(o) - 4*i(o). Factor k(d). d*(d + 2) Let k(d) be the third derivative of -d**9/1512 - d**8/420 - d**7/1260 + d**6/180 + 5*d**4/24 + 5*d**2. Let c(a) be the second derivative of k(a). Factor c(y). -2*y*(y + 1)**2*(5*y - 2) Suppose 3*y - m = y, -2*y = 4*m - 10. Let p be (9/(-5) + 2)*y. Determine h so that p + 1/5*h**2 + 2/5*h = 0. -1 Let q(a) be the third derivative of -a**5/20 - a**4/8 + a**3 - 26*a**2. Factor q(x). -3*(x - 1)*(x + 2) Suppose -5*u = 25, 5*m - 5*u - 29 - 11 = 0. Let y be (8/(-9))/(-2)*1. Factor -2/9*g**5 + 0*g**m + y*g**2 - 4/9*g**4 + 0 + 2/9*g. -2*g*(g - 1)*(g + 1)**3/9 Factor -36*r - 5*r + r**3 - 24*r**2 - 55*r - 128 - 3*r**3. -2*(r + 4)**3 Factor -4/7*w**3 + 8/7*w**2 + 0 + 12/7*w. -4*w*(w - 3)*(w + 1)/7 Let t(d) = 44*d**4 - 4*d**3 - 40*d**2 + 24*d + 24. Let m(l) = -
{ "pile_set_name": "DM Mathematics" }
7672? 2 What is the tens digit of 74? 7 What is the units digit of 878? 8 What is the ten thousands digit of 10524? 1 What is the units digit of 57207? 7 What is the units digit of 1016? 6 What is the units digit of 390? 0 What is the units digit of 20009? 9 What is the ten thousands digit of 62454? 6 What is the units digit of 5979? 9 What is the hundreds digit of 53855? 8 What is the hundreds digit of 20360? 3 What is the hundreds digit of 1095? 0 What is the hundreds digit of 1161? 1 What is the tens digit of 1446? 4 What is the thousands digit of 1455? 1 What is the units digit of 5402? 2 What is the units digit of 14191? 1 What is the tens digit of 686? 8 What is the units digit of 11118? 8 What is the tens digit of 868? 6 What is the hundreds digit of 4360? 3 What is the thousands digit of 2724? 2 What is the tens digit of 235? 3 What is the tens digit of 1702? 0 What is the hundreds digit of 912? 9 What is the units digit of 3702? 2 What is the tens digit of 4581? 8 What is the tens digit of 229? 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{ "pile_set_name": "DM Mathematics" }
-3/5 (b) -3 (c) 3.2 (d) 544 (e) 0.07 d What is the second biggest value in 2, 3, 152/3, 1/6, -0.7, -13, 5? 5 Which is the fourth biggest value? (a) 1/5 (b) 17 (c) 25/6 (d) 24256 a Which is the fourth smallest value? (a) 194 (b) 3 (c) 929/2 (d) 0.5 (e) -5/2 a What is the fourth smallest value in 0.04, -0.4, 4, -171/2, 2/5, -6? 0.04 Which is the second smallest value? (a) 4/3 (b) 13 (c) -3 (d) -656 c What is the fifth smallest value in 16, 264, 1, -1/61, -0.5? 264 Which is the seventh smallest value? (a) -0.11339 (b) 2/17 (c) 3 (d) 1/7 (e) 106 (f) 0.4 (g) -2 e What is the fourth biggest value in -0.1, 3108, -1354, -2/13? -1354 What is the smallest value in -303, 1/9, 1, 89/11? -303 What is the fourth smallest value in 33, 2/3, -5, 0.0007, 0.3, 3/4, 682? 2/3 What is the second smallest value in 1/17, -60, 94, -1/6, -0.1, -0.2? -0.2 What is the third smallest value in -13, -4/9, -2, -9, -0.05, -14? -9 What is the sixth smallest value in 0.2, -4, 0.3, -0.7, -1, 0.07, -0.3? 0.2 What is the third biggest value in 2, 5, 4/5, 8, 1/2, 0, -0.6? 2 Which is the third smallest value? (a) -775.5 (b) 0.1 (c) 2/9 (d) 265/16 c What is the smallest value in 5, 1.6, -0.1617, 2, 0.1, 0.4, 0.06? -0.1617 Which is the biggest value? (a) 5 (b) -3/4955 (c) -19 (d) -2 a Which is the fifth smallest value? (a) -0.12 (b) 1 (c) 26 (d) 0.1 (e) -0.5 (f) -70/11 b What is the second smallest value in -5, 4/19, -119, -0.21, 5/3? -5 Which is the third smallest value? (a) -5/6 (b) 14003 (c) 1/4 b Which is the biggest value? (a) -2.4 (b) 4 (c) 0.04 (d) 532/41 d Which is the biggest value? (a) -0.1 (b) -5095/2 (c) 0.186 (d) -12 c What is the biggest value in 0.5, -17, 0.6, 2687.5? 2687.5 Which is the third smallest value? (a) 5.27 (b) -7 (c) 5 (d) -3 (e) 2 (f) 26.22 e What is the third biggest value in -4.36, 8/25, 4, 3/5, -1/21, -1/7? 8/25 What is the biggest value in 12, 0.5, -1, -2/3, -24/95? 12 Which is the fourth biggest value? (a) 3 (b) 0.9 (c) 0.4 (d) -21 (e) -1/3 (f) -345 (g) 1 c Which is the smallest value? (a) 5 (b) -4 (c) 28.6 (d) 892 (e) 1 b What is the second biggest value in -48, -1/2, 3/728, 5? 3/728 What is the third smallest value in -2, -13.79, -5, 1/16? -2 What is the fourth smallest value in -5/2, 1/6, -900, 1/2, 0.05, -3/4? 0.05 What is the fourth biggest value in 2/3, -7639, -4, -3, 3/4? -4 Which is the third biggest value? (a) -1 (b) 2 (c) 642938 a Which is the smallest value? (a) 4 (b) 7 (c) -4/2249 (d) 0.1 (e) -2 (f) 9/2 (g) 0.3 e Which is the second biggest value? (a) -3 (b) 2/3 (c) 4/25 (d) 1.5 (e) 0.018 (f) -5 b Which is the fifth smallest value? (a) 2.37 (b) 1 (c) 0 (d) -18 (e) -2/3 a What is the biggest value in 0.1, -0.09, 0.37, 2/11, 0.5, -5, 0.078? 0.5 Which is the third biggest value? (a) 10/41 (b) 0.2 (c) -7/305 c Which is the biggest value? (a) -17 (b) -0.3 (c) 20/209 (d) -2 (e) -12 (f) -2/11 c Which is the second smallest value? (a) 18.800542 (b) 0.4 (c) 0 (d) -5 c Which is the third smallest value? (a) 128.9 (b) 99 (c) -1/4 (d) 1/5 (e) -0.05 d What is the smallest value in -0.05, 0, 2/5, 279, -1, -0.2? -1 What is the fourth smallest value in 33223, 9, 5, -0.2? 33223 Which is the second biggest value? (a) 0.072 (b) -2 (c) -73 (d) 4 (e) 0.5 e Which is the fourth smallest value? (a) 5 (b) 121 (c) -2/3 (d) 2/13 (e) -3 (f) 0.3 (g) -128/3 d Which is the third biggest value? (a) -3 (b) 0.03 (c) -143 (d) -4 (e) -2 (f) -145 a What is the smallest value in -0.4, -0.2, -2, -1/3, -36528, 16? -36528 What is the biggest value in -107, 219419, -0.4? 219419 What is the fourth smallest value in 1/13, 88, -280.1, 7/5, -4? 7/5 Which is the fourth biggest value? (a) 9 (b) -2/7 (c) -0.06 (d) 88.4 (e) -1/3 (f) 0.1 c What is the second biggest value in 1/8, -2, -15/31, 1.031, 0.5? 0.5 What is the second biggest value in 0.5, -1018.4, 0, 2/53? 2/53 What is the sixth smallest value in -1/6, 1/53, -5, -0.3, 0.4, -317/4? 0.4 Which is the fifth smallest value? (a) 1/2 (b) 2 (c) 551 (d) 1/5 (e) 477 c Which is the third biggest value? (a) -23 (b) 2 (c) 5 (d) -0.3 (e) -163 (f) -2/75 f What is the second biggest value in -4, 72, -7720? -4 Which is the seventh smallest value? (a) -2/11 (b) -0.06 (c) -17 (d) 1/10 (e) -0.467 (f) -7 (g) -4 d What is the third smallest value in 5, 4000/6589, 1? 5 Which is the second smallest value? (a) 533375 (b) -0.2 (c) 47 (d) 0.2 d What is the sixth biggest value in 0.1, -27/5, -4, -672, 2, -7, -1/5? -7 Which is the smallest value? (a) 0 (b) 3.5 (c) -10/9 (d) -1/5 (e) 1 (f) -6/11 (g) 11 c Which is the fourth biggest value? (a) 0 (b) -1/2 (c) -0.11 (d) 1/2 (e) 0.25 (f) 2/7 a What is the second biggest value in 0.7, 2, 11428, -3? 2 Which is the fourth smallest value? (a) 1 (b) 7/22 (c) -3 (d) -1/5 (e) -2 (f) -1/17 (g) 9 f What is the second smallest value in 251, 2, 6, -27/4, 0, -0.2? -0.2 Which is the second smallest value? (a) 18 (b) -0.1 (c) 7.347 c Which is the sixth smallest value? (a) 1.2 (b) -2 (c) -2.1 (d) 0.5 (e) 0.1 (f) 60.6 f Which is the second smallest value? (a) 52 (b) 1 (c) 4 (d) 9/5 (e) -233 (f) 1/7 f Which is the fifth biggest value? (a) -4 (b) 6 (c) -7 (d) 29 (e) -1/5 (f) -6 (g) 15/4 a What is the third smallest value in -671, -0.87587, -1/9? -1/9 Which is the smallest value? (a) 15/5813 (b) -0.101 (c) 3/14 b Which is the second biggest value? (a) 4 (b) 562764 (c) -152 a What is the second biggest value in 2/25, 0, 1, 2/9, -213885, 5? 1 What is the second biggest value in 3/11, -3942074, 0.2? 0.2 Which is the sixth biggest value? (a) 2/21 (b) -1 (c) 2 (d) 1/5 (e) 36 (f) 0.4 (g) -0.36 g What is the second biggest value in -1/286, 4, 10952? 4 What is the fourth smallest value in 0.13, -1/26054, 4, 2/3? 4 What is the second smallest value in -5, -4/13, 0, -12, 1176, 4? -5 Which is the smallest value? (a) 3/50 (b) -1 (c) 399 (d) 2/3 (e) -0.4 b Which is the second biggest value? (a) -0.4 (b) -2/9 (c) -1299/35693 b Which is the second smallest value? (a) -2 (b) 764/937 (c) -108 a What is the third biggest value in -2/7, 10, 0.1, -1/174, -1/6, 1? 0.1 Which is the sixth biggest value? (a) -5 (b) 0.5 (c) -4 (d) -1 (e) 9 (f) 0.87098 a Which is the second smallest value? (a) -6/7 (b) 3 (c) -0.1 (d) -20 (e) 8 (f) -37 (g) 2/9 d What is the third smallest value in 0.558, -127, 19, -4? 0.558 Which is the second smallest value? (a) 0.4 (b) 5.7 (c) 3383 b Which is the fifth biggest value? (a) 2/25 (b) 6/7 (c) 3 (d) 0.04 (e) -4 e Which is the third biggest value? (a) 72 (b) -0.1 (c) -2/29 (d) -0.17 (e) -217 b What is the third smallest value in 0, 0.3, 86, 2/11, 1.3, 24? 0.3 What is the second biggest value in 7, 2/13, -1124/7, -11.28? 2/13 Which is the fourth smallest value? (a) 5 (b) -11 (c) -3 (d) 162 (e) 0.118 (f) -4 e Which is the second smallest value? (a) 0.4 (b) 2 (c) -4/3 (d) 1 (e) -4 (f) 505.9 c Which is the fifth smallest value? (a) 1/10 (b) 18.35 (c) 2/3 (d) -0.3 (e) -1 (f) 1.7 (g) 0.5 c Which is the fourth smallest value? (a) -2 (b) 3336 (c) -0.3 (d) -5/7 b What is the seventh smallest value in 7, -153, 2, -0.06, -0.4, -0.3, 34? 34 What is the fifth biggest value in -2/331, 0, -0.3, -0.06, 15.3? -0.3 Which is the smallest value? (a) 0.2 (b) -1 (c) 10 (d) 3 (e) 26104 b Which is the third biggest value? (a) -5 (b) -9/5 (c) 3/11 (d) -0.06 (e) 2/5 (f) 111 c Which is the fourth biggest value? (a) 0.3 (b) -14.239 (c) -3 (d) -2844 d What is the smallest value in -3/7, -6, -2/187, 102, -7, 2/7? -7 Which is the third smallest value? (a) -4 (b) 7943 (c) -196 b What is the fifth biggest value in 306, -1.4, 0.3, 2/19, -2/7, -5? -1.4 Which is the fourth smallest value? (a) -1/3 (b) 1.1 (c) 4 (d) 44 (e) 10/3 (f) -0.3 (g) 2 g What is the third biggest value in 0.046, 0.2, -111/8, 1, 0.04? 0.046 Which is the third biggest value? (a) 18.819418 (b) -1 (c) -4/9 b Which is the third biggest value? (a) -0.5 (b) 2/7 (c) -2542.88 c What is the second biggest value in -0.23614, 3/10, 26? 3/10 What is the second biggest value in -1/2, 0, -9/4, -0.114726? -0.114
{ "pile_set_name": "DM Mathematics" }
arest 100. 700 Suppose 0 = 7*m - 3*m - 32. Let g be (7 - m)/(6/(-20))*354. Round g to the nearest one hundred. 1200 Let m = 1454.964489 + -1460.9646. Let t = -6 - m. What is t rounded to five dps? 0.00011 Let a(s) be the first derivative of 137*s**2 + 2*s + 6. Let p be a(1). Suppose 0*r - 2*r = -p. What is r rounded to the nearest ten? 140 Let h = -1505175.2 - -1505164.200019. Let j = 11 + h. Round j to five decimal places. 0.00002 Let w(p) = -8*p**2 - 11*p. Let z be w(7). What is z rounded to the nearest ten? -470 Let o = -3.7097 + 18.6187. Let m = o - -1.071. Let c = m - 14.2. Round c to 1 dp. 1.8 Let v = -25.399 + 32.3. Let c = v + -6.56. Round c to 2 dps. 0.34 Let d(o) = 11*o + 8 + 51*o + 7 - 3. Let r be d(-6). Round r to the nearest one hundred. -400 Let l(h) = -h + 5. Let n be l(0). Suppose -n*o - y = 64, 4*y = 2*o + 11 - 3. Let g(f) = -9999*f**2 + 11*f - 12. Let q be g(o). Round q to the nearest 100000. -1400000 Suppose 2*p - 12 = 14. Let t(c) = -2*c**2 + 17*c - 8. Let x be t(p). Round x to the nearest ten. -130 Let q = 19 - 18.3. Let a = 2.6 - q. Let r = a - 4.7. What is r rounded to zero decimal places? -3 Suppose -4*p + 0*p + 27226944 = 0. Suppose 0 = 5*w + 1406736 - p. What is w rounded to the nearest one hundred thousand? 1100000 Let t be (-1 + -1)/((-12)/888). Let l be (3 + t)*7 - -1. Suppose -b - l = -2*b - 2*k, 0 = -3*k - 3. Round b to the nearest one hundred. 1100 Let r = 4003.3 + -3848. Let z = 163 - r. What is z rounded to zero dps? 8 Let g be (8/6)/((-26)/(-19539)). Suppose -2022 = -2*u + c, -4*u + 5*u = -4*c + g. Round u to the nearest 100. 1000 Let l(q) = -4442*q**2 + 8*q + 10. Let k be l(5). Round k to the nearest one hundred thousand. -100000 Let u = 8.9335703 - -0.0661697. Let p = 17 + -8. Let i = u - p. What is i rounded to 4 dps? -0.0003 Let v = -114.53 + 114. Let l = v - -0.530067. Round l to five dps. 0.00007 Suppose -3961 = -4*z - 23121. Round z to the nearest one thousand. -5000 Let y = -0.26 + 0.3. Let n = 0.0417 - y. What is n rounded to three decimal places? 0.002 Let c(r) = -r**2 + 5*r - 1. Let k be c(3). Suppose -2*n - 4*m = -958, -3*m = -k*n - m + 2335. Suppose 931 = a - n. What is a rounded to the nearest 100? 1400 Let v = 56.91724 + 0.06276. Let x = v - -0.02. Let b = x - 56.942. What is b rounded to two decimal places? 0.06 Let f = -88258618 + 38248606. Let r = 50010007.00000043 + f. Let i = r - -5. What is i rounded to seven decimal places? 0.0000004 Let n = 635 + -577.36. Round n to zero decimal places. 58 Let h = -61 - -62.2. Let u = h + -1.20012. What is u rounded to 4 decimal places? -0.0001 Let j = -190.64 - -207. Let o = 16 - j. Let v = o + 0.360058. Round v to 5 decimal places. 0.00006 Suppose -3*z = 2*x - 2999714, -1999836 = z - 3*z + 4*x. Let r = 30 + -122. Let j = z - r. What is j rounded to the nearest one million? 1000000 Let t = 1049646 + -1049102.187. Let c = t - 543. Let x = c + -0.96. What is x rounded to two dps? -0.15 Let p = 284.999255 - 285. What is p rounded to 3 dps? -0.001 Let w = -2.5 - -17.5. Let s = w + 28. Let u = 41.67 - s. Round u to one dp. -1.3 Let v = -47.4 + -15.6. Let g = -63.044 - v. What is g rounded to 2 decimal places? -0.04 Let n = -1 + 142. Let t = 139.01 - n. Round t to one decimal place. -2 Let w(c) = c**2 - 4*c + 14. Let s be w(11). Let l be 26/s - (-19)/7. Suppose -l*p + 0*p + 2850 = 0. Round p to the nearest one hundred. 1000 Let w = -1.16 + -58.84. Let i = 59.99908 + w. Round i to 4 decimal places. -0.0009 Let j = -5325166 + 1481059. Let g = -4855893 + j. What is g rounded to the nearest one million? -9000000 Let s = -4.591 - -0.091. Let m = -4.4946 - s. Round m to 3 dps. 0.005 Let u = -641.0001372 - -641. What is u rounded to 5 dps? -0.00014 Let m = 91 + -88.52. Let g = m + -2.48131. What is g rounded to four dps? -0.0013 Suppose 39*m - 37*m = -12. Let t be 7 + m + (-4)/(-2) - -429997. What is t rounded to the nearest 10000? 430000 Let i = -5519 + 3464. Let l = -6355 - i. What is l rounded to the nearest 1000? -4000 Let b(l) = -l**3 - 15*l**2 - 139*l + 42. Let y be b(-15). Round y to the nearest 100. 2100 Let z = 105.739 + 0.261. Let s = 105.99392 - z. What is s rounded to three decimal places? -0.006 Let u = 49430 + -49443.9996. Let y = -0.11 - -14.11. Let g = y + u. What is g rounded to 4 decimal places? 0.0004 Let z = 15 - 14.987. Let l = z - -2.287. What is l rounded to 0 dps? 2 Let b = 435 - 635. Let x = b + 200.081. Let t = 7.319 + x. What is t rounded to the nearest integer? 7 Let x = -127249.714629 - -126891.715. Let p = x + 358. Round p to 4 decimal places. 0.0004 Let a be (162500/6)/((-3)/(-4032)). What is a rounded to the nearest one million? 36000000 Let k(v) = 5*v + 1. Suppose -2*o - o + x = -2, 4*o - 2*x = 2. Let b be k(o). Let a be -2*9/b + -1109997. Round a to the nearest 100000. -1100000 Let a = -208.9 - -76. Let t = 125 + a. Round t to the nearest integer. -8 Let h = -194.41 - -195. Round h to 1 dp. 0.6 Let m = 472 + -482.65. Round m to the nearest integer. -11 Let u = -88.398822 + 88.4. What is u rounded to 4 dps? 0.0012 Let j = -47 + 46.902. What is j rounded to 1 dp? -0.1 Suppose -2*k = 1764 - 6404. Round k to the nearest 100. 2300 Let g = 9.05 + -8. Let x = 0.04 + -0.84. Let v = g + x. Round v to 1 decimal place. 0.3 Let k = 5.8 + -5.777. Let i = 0.02300031 - k. What is i rounded to seven dps? 0.0000003 Let s = 78207638.9999998 - 78207608. Let m = s + -31. Round m to 6 dps. 0 Let l = -31.462 + 32.7961. What is l rounded to 1 dp? 1.3 Let h(c) = c**3 - 11*c**2 + 12*c - 20. Let b be h(10). Let p be -3 - -57*(b - (-463)/(-3)). What is p rounded to the nearest ten thousand? -10000 Let h(x) = 44221*x - 254. Let f be h(-26). Round f to the nearest ten thousand. -1150000 Let a = -19 + 44. Let b = 24.999978 - a. Round b to 5 dps. -0.00002 Let d = -65361314.2000019 + 65361254.2. Let j = d + 60. What is j rounded to 5 dps? 0 Suppose 3*s = 223187 + 2656822. Suppose 25017 - 265014 = -j + o, -s = -4*j - o. Round j to the nearest one hundred thousand. 200000 Let o = 2 - 4. Let r = 0.104 - -6.796. Let h = r - o. Round h to 0 dps. 9 Let z = 3.346891 + -3.345. What is z rounded to 4 decimal places? 0.0019 Let a = 2.96 - -0.04. Let l = -61.2354345 - -58.23543. Let i = a + l. Round i to 6 decimal places. -0.000005 Suppose x = 5*f - 17163082, -f - 2*x = -5*x - 3432608. Suppose -473383 - f = -7*i. Round i to the nearest 100000. 600000 Let t = -22.999957 + 23. Round t to 5 decimal places. 0.00004 Suppose 3*j + j = 7584888. Suppose -5*k = -2*k + j. Let u = 72074 + k. Round u to the nearest 100000. -600000 Suppose -2*l - 3*x - 29512974 = 13227020, -2*l = 5*x + 42739990. What is l rounded to the nearest one million? -21000000 Let r(n) = 25614*n - 263052*n + 37445*n + 1 + 1. Let p(x) = x. Let o(m) = -6*p(m) + r(m). Let z be o(-2). Round z to the nearest 100000. 400000 Let i(k) = 263*k**2 - 4*k - 39. Let v be i(-9). What is v rounded to the nearest 1000? 21000 Suppose 0 = -u + 3 + 5. Let o be (1 - -1) + 14 + (4 - u). Round o to zero decimal places. 12 Let m = 550987.9999696 - 550991. Let o = -3 - m. Round o to five decimal places. 0.00003 Let g = -76 - -75.957. Let y = 0.042942 + g. Round y to 5 decimal places. -0.00006 Suppose 0 = 2*z - z - 16614. Let y = 64414 - z. Round y to the nearest 10000. 50000 Let y = -184.8134 + 102.874. Let b = -82 - y. What is b rounded to 3 decimal places? -0.061 Let u = -80.8 - -49. Let m = u + -128.2. Let x = 160.00298 + m. What is x rounded to four dps? 0.003 Let m be -2*3/4*-2. Suppose -m*n = n. Suppose -24*a + 29*a + 8000 = n. Round a to the nearest one thousand. -2000 Let n = -2086742 - -2086742.05788852. Let g = n - 0.0579. What is g rounded to 6 decimal places? -0.000011 Let g = 59.514 - 0.714. What is g rounded to the nearest ten? 60 Let c be (3 + -4)/((-66472)/22156 + 3). Let h = -11642 + -1497. Let t = h + c. What is t rounded to the nearest one thousand? -8000 Suppose -24*q - 18*q - 5946780000 = 0. What is q rounded to the nearest one million? -142000000 Suppose 0 = -3*x - 0 + 9. Suppose 4*g - 9 = x. Suppose -76 = g*h - 295. Round h to the nearest 10. 70 Let x = 15.966 - 16. Let j = 0.033981 + x. What is j rounded to five decimal places? -0.00002 Let y = 22250041.88 + -22250181.8800127. Let g = y + 140. Round g to 6 d
{ "pile_set_name": "DM Mathematics" }
o the nearest 10? -330 Let p = 0.061 + 36.139. Round p to 0 dps. 36 Suppose 0 = -3*v + 2*y - 10872, 2*y + 6 + 0 = 0. Round v to the nearest 100. -3600 Suppose -3*k - 3 + 7 = r, 0 = 4*k. Suppose -y = r*y - 181000000. Round y to the nearest 1000000. 36000000 Suppose 0 = -t + 1 - 0. Let l = 2 + t. Suppose 2279996 = a + 2*d, l*a + 3*d - 4559994 = a. What is a rounded to the nearest 100000? 2300000 Let k = -1087623 - -1117745.69. Let c = k + -30254. Let i = 132 + c. What is i rounded to one decimal place? 0.7 Let t be 1*0*(-1)/3. Suppose 4*y + 5*m - 39304 - 32696 = t, 2*m = -y + 18000. What is y rounded to the nearest ten thousand? 20000 Let b = -17 - 14. Let c = b + 39.5. What is c rounded to the nearest integer? 9 Let o be (408/30)/(6/3075 + 0). What is o rounded to the nearest one hundred? 7000 Let i = 2.117 - 33.842. Let m = i + 32. Round m to 2 decimal places. 0.28 Let n = -41456 + 23156. What is n rounded to the nearest 10000? -20000 Let n(d) = -d**2 + 8*d - 3. Let f be n(7). Suppose -8424 = -f*y + 17164. Let g = 703 + y. Round g to the nearest one thousand. 7000 Let l = -1865 - -3536. What is l rounded to the nearest 100? 1700 Let n = -148 + 144. Let g be (2211/9 + n)/((-3)/36). Round g to the nearest one thousand. -3000 Let k = -0.05533 + 1.55673. Let m = 1.52 - k. Round m to three decimal places. 0.019 Let t = 0.21 + 7.79. Let y = -2993.7638946 + 3001.7639. Let s = y - t. Round s to 6 dps. 0.000005 Let k = -13 + 47. Let x = 33.999896 - k. What is x rounded to five dps? -0.0001 Let w = -215 + 215.742. Round w to 2 dps. 0.74 Let x = -1198636 + -2173364. What is x rounded to the nearest 100000? -3400000 Let p = 43 - 37.8. Let v = -0.8 - p. Let m = v + 5.9999996. What is m rounded to six dps? 0 Let l = 46 + -45.95. Let o = -0.04997 + l. What is o rounded to five decimal places? 0.00003 Let j(r) = -r - 8. Let m be j(-3). Let t(w) = w**3 + 6*w**2 + 3*w - 10. Let s be t(m). Suppose 5*c - 1 + 6 = s. Round c to 0 decimal places. -1 Let h = -1.325 - -1.565. Round h to 1 decimal place. 0.2 Let f = -0.285 - -0.258. Round f to three dps. -0.027 Let m = -156 - -155.9589. Round m to 2 decimal places. -0.04 Let r(n) = -n - 6. Suppose -2*m + j - 24 = 5*j, m = -3*j - 14. Let c be r(m). Let f be 46*(2 + 123911) + c. Round f to the nearest 1000000. 6000000 Let r = 48534.879948 - 48588.88. Let a = r - -54. Round a to five decimal places. -0.00005 Let z(t) = 70080*t - 18. Let f be z(10). Let k = 393782 - f. What is k rounded to the nearest 100000? -300000 Let p = 0.04381395 + -0.0438. What is p rounded to six decimal places? 0.000014 Let o = -0.4 - -1.1. Let u = o - 0.24. What is u rounded to one decimal place? 0.5 Let h be 1 + -1 - (-364 + 28/(-4)). What is h rounded to the nearest 10? 370 Let j = 1880.001033 + -1880. What is j rounded to four dps? 0.001 Let z = 8 + -7.85. Let q = z - 0.24. Let v = 0.0900036 + q. Round v to six decimal places. 0.000004 Let i = 403 - 403.000366. What is i rounded to 4 dps? -0.0004 Let a = 20827831.50000104 - 20827834. Let d = -0.03 - 2.47. Let t = a - d. Round t to 7 decimal places. 0.000001 Let a = -0.69 + 1.69. Let o = 30 + -40.8. Let n = o - a. What is n rounded to zero dps? -12 Let f = 0.1706 + -1.0436. Round f to one decimal place. -0.9 Let n = -517.000004 - -517. Round n to six decimal places. -0.000004 Let f = -1388.998468 - -1389. Round f to 4 dps. 0.0015 Let l(c) = 3*c + 9. Let k be l(7). Suppose 37*x - k*x = 1400. Round x to the nearest 100. 200 Let v be 2/8 - 10563/(-112)*-4. What is v rounded to the nearest one hundred? -400 Let c = -1835216634053.999955 + 1835221644575. Let s = -5010550 + c. Let v = 29 + s. What is v rounded to five dps? 0.00005 Suppose 0 = -4*v - 5 - 47. Let g = 20 + v. Suppose g*w - 9460 = 431540. What is w rounded to the nearest 10000? 60000 Let c be (-597)/12 + 1/(-4). Let b be 42400*(0 + c/(-4)). Round b to the nearest 100000. 500000 Let s be (3 - 3 - -3)/1. Let t be (-28)/(4*s/12). Round t to the nearest ten. -30 Let m = -76.119 - -76. Let t = -0.037 + m. Let w = t - -0.1559929. What is w rounded to six decimal places? -0.000007 Let g = -410.0227 + 410. Round g to 4 decimal places. -0.0227 Let k = 0.075 + 13.925. Let s = -1.4 - k. What is s rounded to 0 dps? -15 Let y = -263.79 - -258. Round y to 0 decimal places. -6 Suppose -2*d - 3*d - 5018715 = 0. Let l = -377009 + -166734. Let i = d - l. What is i rounded to the nearest one hundred thousand? -500000 Let p = -103.95 + 104. Let n = -0.5 - -1.9. Let z = p - n. What is z rounded to 1 decimal place? -1.4 Let s = 1357.3206 - 1357. Let k = s + -0.32. What is k rounded to three dps? 0.001 Let b = 11.6984 + -0.0884. Round b to the nearest integer. 12 Let v = -555.0000134 + 555. Round v to 5 dps. -0.00001 Let g = -1970129498.0000041 - -1970129397. Let t = -115.4 - -14.4. Let m = t - g. Round m to six dps. 0.000004 Suppose -3*c = 16*c + 4864000. What is c rounded to the nearest 100000? -300000 Let u = -0.472 + -96.358. What is u rounded to the nearest ten? -100 Suppose -57 = -6*f - 15. Suppose -f - 13 = 2*k. Let l be (-500005)/k - (-2)/(-4). What is l rounded to the nearest 100000? 100000 Let a = -1.46593 + -8.56477. Let y = -0.0093 + a. Round y to zero decimal places. -10 Let w be (-24)/(-16) + 77/2. Let i = -15 - w. Let b = -20 + i. Round b to the nearest 10. -80 Let q = 240 - 236.94. Round q to 0 decimal places. 3 Let l = 24 - 24. Suppose 0 = -8*f - l*f + 21608. Suppose 4*j + 8499 = -f. Round j to the nearest 1000. -3000 Let c = -39.4 - 0.6. Let f = c + 27. Let h = f + 13.14. What is h rounded to one dp? 0.1 Let c = 404.7275 - 404. Let d = c - 0.0415. Round d to 1 dp. 0.7 Let u = -109.1 + 16.9. What is u rounded to the nearest ten? -90 Let o = -88 - 122. Let h = o - -209.999559. What is h rounded to five dps? -0.00044 Let b(w) = -w - 6. Let n be b(-6). Let m be -11*3 + n + -2. Let t be 65093/m + (-2)/10. What is t rounded to the nearest 100? -1900 Let g = 37 + -29. Let w be 1/((1 + 3)/g). Suppose k - 102 = -3*y, 2*k - 6*y = -w*y + 194. What is k rounded to the nearest ten? 100 Suppose -2*t = -4*w - 0*w + 13041028, t = 0. Let p = w + -1960257. Round p to the nearest 1000000. 1000000 Let y be ((-70236)/54)/((-1)/73347). Let s be 8/60 + y/15. What is s rounded to the nearest 100000? 6400000 Let b = 1.1 - -3.9. Let l = -5.022 + b. Let n = l - -0.02154. What is n rounded to 4 dps? -0.0005 Let o = 0.039 - -0.171. Let v = -2.4989 - -2.289. Let y = o + v. What is y rounded to 3 decimal places? 0 Suppose -3*s + 180*v - 55674010 = 178*v, 0 = -2*s + 5*v - 37116025. What is s rounded to the nearest 1000000? -19000000 Let p = 69.2 - 50.4. What is p rounded to 1 dp? 18.8 Let j = -82.17 + 1.17. Let b = -4.8513 - -85.8781. Let l = j + b. What is l rounded to three decimal places? 0.027 Let c = -0.483 + 0.483177. Round c to 4 decimal places. 0.0002 Let g = 1.1 - 75.1. Let c = 73.99999937 + g. What is c rounded to seven dps? -0.0000006 Let q = 52.2589 - 52.3. Let w = q + 0.3801. Let g = -0.17 + w. Round g to 2 decimal places. 0.17 Let r = -2.301 - -2.3. Let q = -0.401 - r. Round q to one decimal place. -0.4 Let h = -350022 + 172022. Round h to the nearest one hundred thousand. -200000 Let r = 1.1940169 - 1.194. What is r rounded to 6 decimal places? 0.000017 Let t = 1858.8599992 + -1859.02. Let x = 0.16 + t. What is x rounded to six decimal places? -0.000001 Let z(u) = 513*u**3 - 2*u**2 + 2*u - 5. Let o be z(-3). What is o rounded to the nearest 1000? -14000 Let o be (-25939)/2 - (-5)/(-10). Let p = -9100 - o. Round p to the nearest 1000. 4000 Suppose -15*s - 30*s = -3374550. Round s to the nearest ten thousand. 70000 Suppose 3*q + 4034931 + 818069 = -f, -f - 4853000 = 4*q. Round f to the nearest one hundred thousand. -4900000 Let d = -221 - -221.0000821. What is d rounded to six dps? 0.000082 Suppose -84810 = 27*c + 6*c. What is c rounded to the nearest one thousand? -3000 Let w = 55898708 + -24898708. What is w rounded to the nearest one million? 31000000 Let q = 1285.111 - 1284. Let p = 0.039 + q. Let t = p - 1.217. What is t rounded to 2 dps? -0.07 Let r = 7 + 16. Let b = r - 23. Suppose -3*p + 7*p - 7200 = b. Round p to the nearest 1000. 2000 Let v = -212343059 + 212339993.99873. Let r = v - -3066. Let g = r - 1. What is g rounded to four decimal places?
{ "pile_set_name": "DM Mathematics" }
ore 8:11 PM? 8:56 AM What is 582 minutes before 3:31 AM? 5:49 PM What is 627 minutes before 7:42 AM? 9:15 PM What is 367 minutes after 12:32 AM? 6:39 AM What is 40 minutes before 11:35 PM? 10:55 PM How many minutes are there between 4:02 AM and 8:41 AM? 279 How many minutes are there between 5:23 AM and 7:45 AM? 142 How many minutes are there between 5:54 PM and 8:02 PM? 128 How many minutes are there between 4:19 AM and 9:14 AM? 295 How many minutes are there between 7:23 PM and 8:40 PM? 77 What is 525 minutes before 11:58 AM? 3:13 AM How many minutes are there between 1:08 AM and 4:32 AM? 204 How many minutes are there between 10:46 AM and 10:07 PM? 681 What is 557 minutes after 12:23 AM? 9:40 AM How many minutes are there between 7:11 PM and 6:42 AM? 691 How many minutes are there between 4:32 PM and 9:59 PM? 327 How many minutes are there between 3:51 AM and 11:29 AM? 458 How many minutes are there between 4:54 PM and 11:20 PM? 386 How many minutes are there between 8:02 AM and 7:04 PM? 662 What is 672 minutes before 5:30 AM? 6:18 PM How many minutes are there between 9:54 PM and 8:41 AM? 647 How many minutes are there between 4:15 AM and 5:53 AM? 98 How many minutes are there between 11:45 AM and 2:36 PM? 171 What is 63 minutes before 11:39 PM? 10:36 PM How many minutes are there between 12:03 PM and 5:34 PM? 331 What is 488 minutes before 3:41 AM? 7:33 PM How many minutes are there between 6:09 PM and 6:59 PM? 50 What is 496 minutes after 3:16 AM? 11:32 AM How many minutes are there between 10:42 AM and 7:06 PM? 504 What is 11 minutes after 8:16 AM? 8:27 AM What is 328 minutes after 4:04 PM? 9:32 PM How many minutes are there between 3:01 AM and 3:00 PM? 719 How many minutes are there between 7:39 AM and 3:15 PM? 456 How many minutes are there between 3:47 AM and 11:41 AM? 474 What is 618 minutes before 5:41 PM? 7:23 AM How many minutes are there between 8:19 AM and 4:41 PM? 502 How many minutes are there between 6:15 PM and 11:08 PM? 293 What is 623 minutes before 1:29 PM? 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514 How many minutes are there between 5:04 AM and 1:27 PM? 503 What is 573 minutes after 6:16 PM? 3:49 AM How many minutes are there between 10:46 AM and 6:22 PM? 456 What is 373 minutes before 4:00 PM? 9:47 AM How many minutes are there between 8:52 AM and 10:14 AM? 82 What is 667 minutes before 11:53 PM? 12:46 PM How many minutes are there between 2:44 PM and 2:14 AM? 690 What is 470 minutes before 10:22 AM? 2:32 AM What is 576 minutes after 7:43 PM? 5:19 AM What is 670 minutes after 9:55 PM? 9:05 AM What is 110 minutes after 10:03 AM? 11:53 AM How many minutes are there between 7:41 AM and 1:04 PM? 323 How many minutes are there between 10:46 PM and 12:54 AM? 128 How many minutes are there between 2:09 AM and 10:10 AM? 481 How many minutes are there between 10:44 PM and 7:51 AM? 547 What is 672 minutes after 5:09 AM? 4:21 PM How many minutes are there between 12:38 AM and 8:31 AM? 473 How many minutes are there between 8:16 AM and 10:19 AM? 123 What is 457 minutes before 9:41 AM? 2:04 AM How many minutes are there between 1:14 AM and 6:37 AM? 323 How many minutes are there between 7:03 PM and 8:25 PM? 82 How many minutes are there between 9:12 PM and 4:35 AM? 443 What is 136 minutes before 10:31 AM? 8:15 AM What is 429 minutes before 11:56 AM? 4:47 AM What is 502 minutes after 1:54 PM? 10:16 PM How many minutes are there between 12:35 AM and 4:41 AM? 246 How many minutes are there between 10:25 AM and 5:03 PM? 398 How many minutes are there between 8:52 AM and 2:07 PM? 315 What is 630 minutes after 12:14 AM? 10:44 AM How many minutes are there between 2:24 AM and 12:36 PM? 612 How many minutes are there between 11:03 AM and 10:35 PM? 692 What is 454 minutes before 1:43 AM? 6:09 PM How many minutes are there between 4:10 PM and 5:02 PM? 52 What is 647 minutes before 11:12 AM? 12:25 AM What is 692 minutes before 11:50 AM? 12:18 AM What is 211 minutes after 5:14 PM? 8:45 PM How many minutes are there between 2:02 PM and 4:58 PM? 176 What is 557 minutes after 7:11 AM? 4:28 PM How many minutes are there between 2:06 AM and 9:56 AM? 470 What is 251 minutes after 5:14 AM? 9:25 AM What is 490 minutes before 10:47 AM? 2:37 AM What is 641 minutes before 2:09 PM? 3:28 AM What is 156 minutes after 5:55 AM? 8:31 AM What is 315 minutes before 11:25 AM? 6:10 AM What is 703 minutes after 3:04 AM? 2:47 PM What is 410 minutes before 7:31 PM? 12:41 PM How many minutes are there between 5:43 AM and 11:10 AM? 327 What is 76 minutes after 4:32 PM? 5:48 PM What is 185 minutes after 2:05 PM? 5:10 PM How many minutes are there between 5:58 PM and 8:32 PM? 154 How many minutes are there between 4:13 PM and 11:46 PM? 453 What is 547 minutes after 12:35 PM? 9:42 PM What is 699 minutes before 5:25 PM? 5:46 AM What is 702 minutes after 6:52 AM? 6:34 PM How many minutes are there between 5:24 AM and 10:41 AM? 317 What is 246 minutes before 8:50 PM? 4:44 PM What is 677 minutes before 4:58 PM? 5:41 AM What is 588 minutes after 3:34 PM? 1:22 AM How many minutes are there between 11:02 PM and 1:34 AM? 152 What is 585 minutes after 1:26 AM? 11:11 AM What is 664 minutes after 6:36 PM? 5:40 AM What is 458 minutes before 9:21 PM? 1:43 PM How many minutes are there between 8:18 AM and 9:50 AM? 92 What is 572 minutes after 8:18 PM? 5:50 AM How many minutes are there between 1:15 AM and 9:28 AM? 493 What is 596 minutes before 6:12 AM? 8:16 PM How many minutes are there between 11:06 AM and 12:08 PM? 62 How many minutes are there between 6:29 AM and 7:51 AM? 82 How many minutes are there between 7:48 AM and 4:15 PM? 507 What is 423 minutes before 5:56 PM? 10:53 AM How many minutes are there between 5:32 PM and 7:16 PM? 104 What is 535 minutes after 8:40 PM? 5:35 AM How many minutes are there between 9:15 PM and 10:11 PM? 56 How many minutes are there between 5:26 AM and 10:21 AM? 295 How many minutes are there between 4:50 AM and 2:33 PM? 583 How many minutes are there between 9:37 AM and 5:27 PM? 470 What is 691 minutes after 7:25 PM? 6:56 AM How many minutes are there between 3:37 AM and 7:51 AM? 254 What is 107 minutes before 5:50 AM? 4:03 AM How many minutes are there between 5:51 PM and 3:04 AM? 553 What is 669 minutes before 9:07 PM? 9:58 AM What is 305 minutes after 11:39 PM? 4:44 AM How many minutes are there between 5:01 PM and 5:34 PM? 33 What is 44 minutes before 7:19 PM? 6:35 PM What is 207 minutes before 11:49 AM? 8:22 AM How many minutes are there between 10:19 AM and 9:14 PM? 655 How many minutes are there between 12:26 AM and 2:45 AM? 139 How many minutes are there between 12:51 AM and 4:20 AM? 209 How many minutes are there between 3:16 AM and 2:38 PM? 682 What is 264 minutes after 8:38 PM? 1:02 AM How many minutes are there between 2:25 PM and 7:14 PM? 289 What is 376 minutes after 8:11 PM? 2:27 AM What is 546 minutes after 8:23 AM? 5:29 PM What is 344 minutes after 7:57 PM? 1:41 AM What is 300 minutes before 2:18 AM? 9:18 PM What is 584 minutes before 11:20 PM? 1:36 PM What is 488 minutes before 11:07 PM? 2:59 PM How many minutes are there between 10:20 PM and 3:33 AM? 313 How many minutes are there between 12:05 AM and 2:40 AM? 155 What is 573 minutes after 1:23 AM? 10:56 AM What is 663
{ "pile_set_name": "DM Mathematics" }
20. Let n(f) = -4*l(f) + 5*y(f). Determine n(q(x)). 12*x**2 Let p(j) = -3*j**2 + 4. Let i = -6 + 1. Let x(z) = 4*z**2 - 5. Let f(t) = i*p(t) - 4*x(t). Let s(c) = -c**2. Calculate s(f(d)). -d**4 Let d(s) = -8*s**2. Let k(y) = -17*y**2 - 5*y + 12. Let h(w) = w**2 - 2. Let l(a) = 6*h(a) + k(a). Determine l(d(b)). -704*b**4 + 40*b**2 Let q(g) = -g**2 + 1. Let v(i) = -i**2 + i - 1. Let r(y) = -7*y**2 + 6*y - 6. Let x(o) = -r(o) + 6*v(o). Give q(x(b)). -b**4 + 1 Let i(b) = 2*b + 7 - 1 - 2 - 4. Let a(v) = -120*v**2. Calculate i(a(y)). -240*y**2 Let i(c) = 2*c**2. Let w(b) = -17*b + 13. Let g(a) = 5*a - 3. Let r(t) = -26*g(t) - 6*w(t). Determine r(i(d)). -56*d**2 Let u(o) = 9*o. Let n(k) be the third derivative of -1/8*k**4 + 14*k**2 + 0 + 0*k + 0*k**3. Determine u(n(h)). -27*h Let l(x) = -44*x - 2. Let d(c) = 20317*c. What is d(l(b))? -893948*b - 40634 Let x = -40 - -29. Let p(b) = 3*b**2 + 4. Let c(r) = 8*r**2 + 11. Let g(u) = x*p(u) + 4*c(u). Let i(l) be the first derivative of l**3 + 12. Determine g(i(d)). -9*d**4 Let d(m) = 8*m - 5. Let z(l) = 10*l - 6. Let n(y) = -6*d(y) + 5*z(y). Let u(r) = -2*r**2 + 289*r. Give u(n(q)). -8*q**2 + 578*q Let j = 30 + -27. Suppose a + a - t = j, 0 = 3*t - 3. Let n(i) = 3*i + a*i + 0*i - 3*i. Let z(y) = 9*y**2. Determine z(n(w)). 36*w**2 Let h = -5 + 13. Suppose h*d - 5*d = 15. Let w(x) = -6*x**2 + 3*x**2 + d*x**2. Let b(l) = -2*l. What is b(w(j))? -4*j**2 Let v be (9/12)/(3/(-24)). Let w(g) = 2*g + 3. Let i(o) = -14*o - 22. Let a(l) = v*i(l) - 44*w(l). Let r(y) = 2*y**2. Determine a(r(f)). -8*f**2 Let c(f) = -11*f - 2. Let k(q) = 114*q + 21. Let d(h) = 21*c(h) + 2*k(h). Let w(l) = -8 + 8 - 17*l. What is d(w(n))? 51*n Let c(i) = -12*i. Let a(n) = -3*n - 1149. Give c(a(t)). 36*t + 13788 Let c(z) = -2. Let x(n) = 4*n + 12. Let u(l) = 30*c(l) + 5*x(l). Let g(i) = -5*i**2. What is u(g(w))? -100*w**2 Let a(d) = -5*d + 9. Let v(r) = r - 2. Let k(n) = -2*a(n) - 9*v(n). Let h(y) = -15*y**2 + 12*y. Let c(w) = w**2 - w. Let l(m) = 36*c(m) + 3*h(m). Give k(l(o)). -9*o**2 Let s(b) = -2*b**2 - 19. Let o(a) = -2030*a. Calculate o(s(k)). 4060*k**2 + 38570 Let y(p) = p**2. Let m(n) = -314494*n. What is m(y(l))? -314494*l**2 Let n(r) = -r**2. Let w(p) = -530*p + 68. What is w(n(h))? 530*h**2 + 68 Let m(w) = -10*w**2. Let k(q) = 2*q - 170. What is k(m(x))? -20*x**2 - 170 Let s(y) be the third derivative of -y**5/30 - 7*y**2. Let f(l) = 6*l**2 + 4*l**2 - 3*l**2. Calculate f(s(x)). 28*x**4 Let v(a) = -2*a. Let t = -8 - -11. Suppose -t*o + 0*o = -9. Let j(b) = -7*b**2 + b**2 + o*b**2. Give v(j(x)). 6*x**2 Let w(j) = j**2 + 3*j. Let x(h) = -h**2 - 4*h. Let a(y) = -4*w(y) - 3*x(y). Let r(z) = -6*z - 7. Determine r(a(n)). 6*n**2 - 7 Let a(j) = -2*j. Let k(c) = 11*c + 17. Let n(g) = -g + 1. Let s(m) = -k(m) + 6*n(m). Let i(u) = 6*u + 4. Let z(w) = -11*i(w) - 4*s(w). What is a(z(o))? -4*o Let l(u) = -22*u + 68. Let g(p) = 2*p - 6. Let a(b) = 34*g(b) + 3*l(b). Let y(q) be the third derivative of 0*q + 13/8*q**4 + 0 + 0*q**3 + q**2. Give y(a(s)). 78*s Let b(k) = k**2 + 2*k - 149. Let y(x) = x + 8. Determine b(y(t)). t**2 + 18*t - 69 Let t(b) = 6934 - 6*b**2 - 6934. Let j(d) = 29*d**2. Give t(j(m)). -5046*m**4 Let u(q) = 4606967*q**2. Let r(p) = p**2. What is u(r(f))? 4606967*f**4 Let c(g) = -93*g. Let v(p) = 15*p - 3. Give v(c(w)). -1395*w - 3 Let y(b) = -5*b**2. Let w(g) be the third derivative of -g**5/40 + 6*g**3 + 27*g**2. Let t(l) be the first derivative of w(l). Determine t(y(d)). 15*d**2 Let g(c) = -149527*c. Let i(k) = -4*k**2. What is g(i(s))? 598108*s**2 Let z(w) = -w**2. Let s(r) be the first derivative of 49*r**3/3 - r**2/2 - 405. Calculate z(s(u)). -2401*u**4 + 98*u**3 - u**2 Let g = 7 + 5. Suppose g*d = 10*d + 14. Let w(t) = -d*t**2 + 3*t**2 + 16*t - 16*t. Let u(f) = f. Determine w(u(y)). -4*y**2 Let b = 3 - 8. Let a(d) = 6*d**2 + 5*d. Let c(k) = 5*k**2 + 4*k. Let q(f) = b*c(f) + 4*a(f). Let n(l) = -15*l - 17*l + 54*l - 8*l - 8*l. Give q(n(z)). -36*z**2 Let m(x) = 6*x. Let g(r) = 9*r**2 - 10*r + 10. Let l(k) = 8*k**2 - 8*k + 8. Let j(y) = -4*g(y) + 5*l(y). Give j(m(b)). 144*b**2 Suppose -2*s - 5 = -3*p, -p - 6 + 3 = -3*s. Let a(f) = 20*f + 2*f**s - 9*f - 11*f. Let m(y) = -2*y**2. Give a(m(q)). 8*q**4 Let c(r) = -28*r. Let h(w) = 15*w**2 - 13 + 24*w**2 - 58*w**2 + 13. Determine c(h(o)). 532*o**2 Let m(w) = 29438*w - 1. Let n(q) = -14*q**2. What is m(n(y))? -412132*y**2 - 1 Let s(m) = -4*m**2. Let h(n) be the second derivative of -n**5/40 - n**3/2 + 8*n. Let i(x) be the second derivative of h(x). Determine i(s(k)). 12*k**2 Let t(d) = -89*d**2 + 2. Let l(g) = 1715*g**2. Determine t(l(v)). -261769025*v**4 + 2 Let l(a) be the third derivative of -17*a**4/8 - a**3 - 820*a**2. Let d(t) = 2*t**2. Determine l(d(m)). -102*m**2 - 6 Let t(x) be the second derivative of x**3/3 - 105*x. Let i(n) = -2*n**2 + 24. Give i(t(u)). -8*u**2 + 24 Let u(n) = -4*n. Let h = 52 - 51. Let k(f) = 19*f - 6. Let i(p) = -p + 1. Let z(t) = h*k(t) + 6*i(t). Give z(u(m)). -52*m Let m(q) = -2*q**2. Let l(n) = -n - 2163. Give m(l(d)). -2*d**2 - 8652*d - 9357138 Let n be 40/(-6) - 2/(-3). Let z(t) = 11*t. Let i(f) = -4*f. Let g(y) = n*z(y) - 17*i(y). Let b(v) = 143 - 3*v - 2*v + 12*v - 143. Determine g(b(k)). 14*k Let l(x) = 54*x**2. Let g(d) = 960*d + 6*d**2 - 960*d. Calculate l(g(s)). 1944*s**4 Let p(l) = -2*l. Let d(o) be the third derivative of 0*o - 19/24*o**4 - 3*o**2 + 0*o**3 + 0. Give d(p(b)). 38*b Let f(b) = -62*b**2. Let r(s) be the second derivative of -2*s**3/3 + 111*s. Give r(f(g)). 248*g**2 Let n(a) = a**2. Let w(b) be the third derivative of b**8/2880 + 7*b**5/20 + 30*b**2. Let j(c) be the third derivative of w(c). What is n(j(y))? 49*y**4 Let z(o) be the third derivative of 0*o**3 + 31/24*o**4 + 0*o + 0 - 19*o**2. Let k(p) = 2*p. Give z(k(s)). 62*s Suppose -2*h + 35 = -29. Let q(o) = h*o**2 - 18*o**2 - 12*o**2. Let k(t) = 1 - 1 + 5*t**2. Give k(q(w)). 20*w**4 Let i(v) = 75*v. Let u(m) = 11*m. Determine u(i(o)). 825*o Let i(l) = 232*l - 115*l - 113*l. Let s(o) = -18*o. Calculate i(s(y)). -72*y Let y(d) = 56*d**2. Suppose 25 = 2*s - 5*q, -3*q - 3 = -3*s - 7*q. Let k(f) = 16*f - 13*f - s*f. Give y(k(z)). 224*z**2 Let k(c) be the third derivative of c**5/20 + 54*c**2 + c. Let y(b) = 12*b**2 + 3*b. Give y(k(f)). 108*f**4 + 9*f**2 Let l(c) = 7*c. Let a(r) = 29*r - 55*r + 26*r + 9*r**2. Give a(l(h)). 441*h**2 Let z(l) = -533*l + 1601*l - 541*l - 589*l. Let q(x) = -4*x. Give z(q(o)). 248*o Let g(z) = -z**2 + 2*z. Let q(h) = 6*h**2 - 11*h. Let p(v) = 11*g(v) + 2*q(v). Let n(y) = 65*y**2. Calculate n(p(x)). 65*x**4 Let v(f) = 2*f. Let s(h) = 5*h**3 + 3*h**2 - 2*h + 1. Let u be s(2). Let p(q) = -19*q - 15*q - 13*q + u*q. Determine v(p(i)). 4*i Let r(f) = -6*f**3 - f. Let n be r(-1). Let p(j) = -1 + j**2 + n - 6. Let b(m) = -3*m + m + m - 3*m. Give p(b(d)). 16*d**2 Let p(y) = 2*y. Let d(b) = -2*b - 20278. What is p(d(j))? -4*j - 40556 Let a(m) be the second derivative of 0*m**2 - 5/6*m**3 - 2*m + 0. Let z(r) = -2*r. What is a(z(d))? 10*d Let h(x) = x + 4. Let t(q) = q + 7. Let b(f) = 7*h(f) - 4*t(f). Let w(j) = -5*j**2. Determine b(w(r)). -15*r**2 Let d(j) = j. Let w = 13 - 10. Let b(r) = 2*r**2 - 2*r**2 - w*r**2 - 4*r - 4. Let v(t) = -2*t**2 - 3*t - 3. Let u(k) = -3*b(k) + 4*v(k). What is u(d(z))? z**2 Let s(c) = -842*c. Let h(v) = -69*v + 2. Determine h(s(t)). 58098*t + 2 Let s(r) = -27*r. Let t(x) be the second derivative of -11*x**3/6 + 323*x - 1. What is t(s(d))? 297*d Let s(h) = 1 + 7*h - 13*h + 5*h. Let f(q) = q**2 + q - 1. Let x(o) = f(o) + s(o). Let d(y) = 54*y. Give d(x(m)). 54*m**2 Let x(k) = -k**2 - 1. Let w(g) = 33*g**2 - 5. Let l(o) = -w(o) + 5*x(o). Let r(u) be the first derivative of -2*u**3/3 + 159. Calculate l(r(f)). -152*f**4 Let j(l) = 25*l**2. Let p(a) = a. Let n(r) = 36*r. Let b(i) = n(i) - 27*p(i). What is b(j(m))? 225*m**2 Let q(h) = -6*h. Let l(d) be the first derivative of -19 - 624*d - 2*d**2 + 624*d. Give l(q(s)). 24*s Let f(s) = -20*s. Let z(u) = 3317*u. Give f(z(o)). -66340*o Let v(c) = 2*c. Let m(q) be the second derivative of 31*q**4/6 + 132*q. Determine m(v(o)). 248*o**2 Let w(z) = 0*z - z + 3*z. Suppose 0 = -5*c - t + 9737, -2*c + 3*c - 3*t - 1957 = 0. Let a(v) = -12*v + 1948 - c. What is a(w(r))? -24*r Let v(r) = 2*r - 8.
{ "pile_set_name": "DM Mathematics" }
ate prob of picking 1 m, 1 k, and 1 v when three letters picked without replacement from eemmkemkveee. 3/110 Calculate prob of picking 2 w when two letters picked without replacement from {p: 2, h: 5, j: 2, k: 1, w: 5, v: 5}. 1/19 Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 2, n: 4, d: 3}. 1/6 What is prob of picking 4 l when four letters picked without replacement from {n: 12, l: 7}? 35/3876 Calculate prob of picking 2 g when two letters picked without replacement from goikg. 1/10 Four letters picked without replacement from {r: 1, g: 3}. What is prob of picking 4 g? 0 Four letters picked without replacement from {i: 4, k: 1, t: 3, g: 8, q: 2, h: 2}. Give prob of picking 2 i, 1 t, and 1 k. 6/1615 Three letters picked without replacement from {u: 7, m: 4}. Give prob of picking 2 m and 1 u. 14/55 Calculate prob of picking 3 f when three letters picked without replacement from yyfffyyy. 1/56 Calculate prob of picking 1 x and 2 z when three letters picked without replacement from {x: 4, z: 2, v: 4}. 1/30 Two letters picked without replacement from flinfn. Give prob of picking 2 f. 1/15 What is prob of picking 1 o, 1 r, and 1 h when three letters picked without replacement from hlrorhhrlkhj? 3/55 Two letters picked without replacement from {g: 1, c: 1, m: 5, q: 10}. Give prob of picking 1 g and 1 c. 1/136 Two letters picked without replacement from {c: 13, r: 2, e: 5}. What is prob of picking 1 c and 1 e? 13/38 Three letters picked without replacement from {p: 1, g: 8, a: 1, i: 9}. What is prob of picking 2 i and 1 p? 12/323 Calculate prob of picking 4 p when four letters picked without replacement from ppppp. 1 What is prob of picking 1 u and 1 i when two letters picked without replacement from rauauuuisiausuaai? 9/68 Four letters picked without replacement from {z: 7, l: 2}. Give prob of picking 2 z and 2 l. 1/6 Three letters picked without replacement from guggqgqqugqgg. Give prob of picking 1 q and 2 g. 42/143 What is prob of picking 2 v when two letters picked without replacement from {x: 1, v: 2, s: 1, e: 4}? 1/28 Calculate prob of picking 1 h, 1 i, and 1 r when three letters picked without replacement from {i: 1, d: 4, r: 2, h: 2, t: 3}. 1/55 Calculate prob of picking 2 t when two letters picked without replacement from ttatttttttc. 36/55 Four letters picked without replacement from {n: 5, u: 5}. What is prob of picking 4 u? 1/42 Four letters picked without replacement from pddddgpddgdddd. What is prob of picking 2 p and 2 d? 45/1001 Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 8, i: 3}. 24/55 Calculate prob of picking 3 g and 1 k when four letters picked without replacement from kgjkgggggg. 1/3 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {u: 5, i: 5, w: 5, p: 1, r: 2}. 10/153 What is prob of picking 1 e and 1 j when two letters picked without replacement from jejjjgejeg? 1/3 Calculate prob of picking 2 r when two letters picked without replacement from {j: 3, r: 8}. 28/55 Three letters picked without replacement from yyyyzyyyzyy. Give prob of picking 3 y. 28/55 Three letters picked without replacement from wmamzfmaff. What is prob of picking 1 m and 2 a? 1/40 Calculate prob of picking 1 b and 1 h when two letters picked without replacement from yyiyhyhyyyyibayyahh. 4/171 What is prob of picking 2 b when two letters picked without replacement from {b: 4}? 1 What is prob of picking 2 u when two letters picked without replacement from {i: 6, u: 6, l: 3}? 1/7 What is prob of picking 3 s and 1 t when four letters picked without replacement from {s: 3, t: 2}? 2/5 Calculate prob of picking 3 j when three letters picked without replacement from ojkooojjijoko. 2/143 Three letters picked without replacement from trrftrfffffitfi. What is prob of picking 2 i and 1 r? 3/455 Two letters picked without replacement from {f: 9, b: 1, g: 5, x: 3}. Give prob of picking 1 g and 1 x. 5/51 Calculate prob of picking 3 z when three letters picked without replacement from {s: 2, o: 3, z: 3, r: 11}. 1/969 Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {g: 7, w: 2}. 1/12 What is prob of picking 1 h and 2 v when three letters picked without replacement from imiiiihimimhiivhhv? 1/204 Three letters picked without replacement from {a: 2, d: 10}. Give prob of picking 1 d and 2 a. 1/22 Calculate prob of picking 2 w and 1 z when three letters picked without replacement from btwwgzbyy. 1/84 What is prob of picking 1 v and 1 g when two letters picked without replacement from dgvkgdvdgd? 2/15 What is prob of picking 1 o and 1 v when two letters picked without replacement from {q: 8, s: 4, v: 3, o: 4}? 4/57 Four letters picked without replacement from {h: 1, s: 3, t: 8, x: 1, z: 6}. Give prob of picking 2 t, 1 h, and 1 z. 14/323 Four letters picked without replacement from {f: 7, c: 3}. Give prob of picking 1 c and 3 f. 1/2 Calculate prob of picking 2 f when two letters picked without replacement from vvffvfvoffof. 5/22 Calculate prob of picking 1 q, 1 u, and 1 i when three letters picked without replacement from qijuuiuhuhiuu. 9/143 Four letters picked without replacement from {q: 3, w: 1, e: 5, k: 4, d: 1}. What is prob of picking 1 e, 1 k, 1 d, and 1 q? 60/1001 What is prob of picking 3 j when three letters picked without replacement from zzjjzzzzzjjjzzjj? 1/16 Three letters picked without replacement from fxfataktokttaff. What is prob of picking 3 f? 4/455 What is prob of picking 1 z and 3 i when four letters picked without replacement from {i: 3, z: 2}? 2/5 Calculate prob of picking 1 c and 2 l when three letters picked without replacement from wcplwwlppdlplv. 3/182 Calculate prob of picking 2 n when two letters picked without replacement from {n: 3, q: 7}. 1/15 Calculate prob of picking 4 a when four letters picked without replacement from auaaaaauaaaauaaaauaa. 364/969 Three letters picked without replacement from gggllggggggglgg. What is prob of picking 3 g? 44/91 Calculate prob of picking 1 m and 1 d when two letters picked without replacement from nhvdmnho. 1/28 Calculate prob of picking 4 r when four letters picked without replacement from {w: 2, y: 1, r: 4}. 1/35 What is prob of picking 1 l and 2 q when three letters picked without replacement from {u: 2, j: 1, b: 1, q: 2, c: 1, l: 1}? 1/56 Two letters picked without replacement from {x: 1, j: 1, i: 1, b: 1, c: 1}. What is prob of picking 1 j and 1 c? 1/10 Two letters picked without replacement from bopvpiv. What is prob of picking 2 p? 1/21 Three letters picked without replacement from {p: 3, o: 2, e: 2, q: 6, k: 2, i: 2}. What is prob of picking 1 p and 2 i? 3/680 Calculate prob of picking 1 y and 1 q when two letters picked without replacement from ydqzz. 1/10 Two letters picked without replacement from {d: 2, y: 2}. Give prob of picking 1 d and 1 y. 2/3 What is prob of picking 1 x, 1 k, and 1 f when three letters picked without replacement from fkvvvvvfxvvfkovokv? 3/272 What is prob of picking 1 d and 3 l when four letters picked without replacement from dldlddeddedddedllcdd? 16/1615 Four letters picked without replacement from {e: 7, x: 2, y: 3}. What is prob of picking 1 x, 2 y, and 1 e? 14/165 Calculate prob of picking 2 j when two letters picked without replacement from jyjyyy. 1/15 Four letters picked without replacement from {n: 4, q: 1, o: 2, f: 5, u: 2, w: 1}. Give prob of picking 3 n and 1 q. 4/1365 Three letters picked without replacement from bkbkbzzknbzkoboz. What is prob of picking 1 n and 2 k? 3/280 Three letters picked without replacement from {h: 1, w: 3, a: 1, u: 2, f: 3, x: 2}. Give prob of picking 1 u and 2 f. 3/110 Three letters picked without replacement from {c: 2, h: 2, r: 1, o: 7, q: 2, d: 1}. What is prob of picking 1 r, 1 d, and 1 c? 2/455 Two letters picked without replacement from ttutgtuatgttatgppvg. Give prob of picking 2 p. 1/171 What is prob of picking 1 e, 1 x, and 1 d when three letters picked without replacement from xeeemmddddemdegmeme? 35/969 What is prob of picking 1 l and 3 e when four letters picked without replacement from {e: 6, l: 13}? 65/969 Two letters picked without replacement from doro
{ "pile_set_name": "DM Mathematics" }
hat is prob of sequence iih when three letters picked without replacement from {h: 2, i: 7}? 1/6 Four letters picked without replacement from {i: 3, s: 1, q: 4, c: 1, v: 2}. What is prob of sequence viic? 1/660 What is prob of sequence bs when two letters picked without replacement from sbovpoboovv? 1/55 What is prob of sequence vlzw when four letters picked without replacement from vnpzpwl? 1/840 Three letters picked without replacement from mvfwfffvjvvvvvv. What is prob of sequence vjv? 4/195 What is prob of sequence ddd when three letters picked without replacement from {p: 3, d: 13}? 143/280 Two letters picked without replacement from htkkv. Give prob of sequence vh. 1/20 Three letters picked without replacement from {b: 1, d: 1, i: 1, q: 2, t: 2, h: 1}. What is prob of sequence itd? 1/168 Three letters picked without replacement from llduyyqluldylpypul. What is prob of sequence qlu? 1/272 Calculate prob of sequence yyjj when four letters picked without replacement from {j: 3, y: 3}. 1/10 Calculate prob of sequence bc when two letters picked without replacement from cbbcnbnbbyoyyncbco. 4/51 Four letters picked without replacement from odyoddyo. What is prob of sequence oyoo? 1/140 Calculate prob of sequence vvc when three letters picked without replacement from vcxvcxvcccxvc. 6/143 Three letters picked without replacement from ukkvukukuvuuu. Give prob of sequence uuv. 7/143 Calculate prob of sequence dg when two letters picked without replacement from ddddddddddddg. 1/13 Four letters picked without replacement from {l: 4, i: 7, q: 6}. Give prob of sequence qlql. 3/476 Two letters picked without replacement from {m: 3, v: 8}. Give prob of sequence mv. 12/55 Three letters picked without replacement from {a: 4, u: 3, z: 1, i: 2, h: 2}. What is prob of sequence aza? 1/110 Calculate prob of sequence vvv when three letters picked without replacement from vnnvvvvvnvn. 7/33 Calculate prob of sequence muuu when four letters picked without replacement from mmuuum. 1/20 Two letters picked without replacement from {n: 2, h: 1, r: 4}. Give prob of sequence nh. 1/21 Calculate prob of sequence ina when three letters picked without replacement from adijn. 1/60 Four letters picked without replacement from nrnz. What is prob of sequence rnnz? 1/12 What is prob of sequence zo when two letters picked without replacement from zozr? 1/6 Two letters picked without replacement from {j: 2, f: 2, o: 1, q: 3, k: 2, c: 2}. Give prob of sequence oq. 1/44 Calculate prob of sequence harj when four letters picked without replacement from {a: 2, h: 7, r: 1, x: 1, j: 4}. 1/585 Three letters picked without replacement from {t: 1, j: 1, c: 1}. What is prob of sequence cjt? 1/6 Calculate prob of sequence cz when two letters picked without replacement from ecececcecez. 1/22 Two letters picked without replacement from {d: 2, c: 4, v: 4}. Give prob of sequence vc. 8/45 What is prob of sequence ho when two letters picked without replacement from bbhbboaoaoybbaboa? 1/68 Four letters picked without replacement from {h: 1, f: 2, k: 2, j: 1, w: 1, g: 1}. What is prob of sequence fkhf? 1/420 Four letters picked without replacement from eeeoeeeeeeeeeeeeeeee. Give prob of sequence eeoe. 1/20 What is prob of sequence ff when two letters picked without replacement from yffyffyof? 5/18 Four letters picked without replacement from {m: 4, h: 1, j: 2, o: 3, z: 1}. Give prob of sequence jhmm. 1/330 Calculate prob of sequence pgep when four letters picked without replacement from {e: 3, x: 5, g: 3, o: 3, p: 4}. 1/680 What is prob of sequence jjii when four letters picked without replacement from immivjmivjivmvi? 1/819 Three letters picked without replacement from qzznnnqqzqv. What is prob of sequence qnz? 2/55 Four letters picked without replacement from zzjzxjjjxjxjz. Give prob of sequence zjjz. 3/143 Four letters picked without replacement from kqkrukrrqqq. What is prob of sequence kukr? 1/440 Calculate prob of sequence bjj when three letters picked without replacement from jhjcjbhjjhjj. 7/220 Four letters picked without replacement from tsshhhhhhhhhhh. What is prob of sequence hthh? 15/364 Three letters picked without replacement from {v: 3, h: 4}. Give prob of sequence vvh. 4/35 Calculate prob of sequence ch when two letters picked without replacement from {e: 7, h: 4, c: 3}. 6/91 What is prob of sequence yeut when four letters picked without replacement from phepppypepyhpuuyyhtp? 2/14535 Two letters picked without replacement from ucc. What is prob of sequence uc? 1/3 What is prob of sequence qqww when four letters picked without replacement from {q: 10, w: 4}? 45/1001 What is prob of sequence xxyy when four letters picked without replacement from yyyxxyx? 3/35 What is prob of sequence fr when two letters picked without replacement from rzkfqzf? 1/21 Calculate prob of sequence kl when two letters picked without replacement from lnnrrcrxnxllckc. 1/70 What is prob of sequence kwk when three letters picked without replacement from {k: 2, w: 5}? 1/21 What is prob of sequence xaxl when four letters picked without replacement from {x: 3, l: 2, y: 4, a: 1, g: 4, d: 6}? 1/9690 Calculate prob of sequence si when two letters picked without replacement from hqqlhhliqlqlhshhh. 1/272 Calculate prob of sequence aip when three letters picked without replacement from apimamaietampipimiia. 1/76 What is prob of sequence mt when two letters picked without replacement from krbmtrbj? 1/56 Three letters picked without replacement from gsoosssogafsv. What is prob of sequence sgo? 5/286 What is prob of sequence sh when two letters picked without replacement from {f: 7, s: 3, h: 9}? 3/38 Calculate prob of sequence my when two letters picked without replacement from {w: 1, m: 3, e: 5, j: 2, h: 1, y: 1}. 1/52 Two letters picked without replacement from wwwwxxxwwwxxxxxx. Give prob of sequence xx. 3/10 What is prob of sequence qqi when three letters picked without replacement from qqqi? 1/4 Three letters picked without replacement from uuwuuuwaaskuuuuuwfu. Give prob of sequence kuf. 11/5814 Calculate prob of sequence miw when three letters picked without replacement from {r: 4, d: 2, w: 4, i: 4, m: 5, x: 1}. 2/171 Four letters picked without replacement from yyonnncyuudoyyuon. What is prob of sequence cnnn? 1/2380 Two letters picked without replacement from cwcwgnngnn. Give prob of sequence gn. 4/45 What is prob of sequence htpf when four letters picked without replacement from {f: 1, p: 8, k: 1, t: 5, h: 2}? 1/714 Calculate prob of sequence rs when two letters picked without replacement from ysrup. 1/20 Three letters picked without replacement from {i: 2, j: 2, m: 2, y: 1, u: 1}. Give prob of sequence yjj. 1/168 What is prob of sequence rrqq when four letters picked without replacement from rrqqq? 1/10 Calculate prob of sequence rohp when four letters picked without replacement from {i: 5, o: 1, h: 1, p: 7, r: 1}. 1/4680 Four letters picked without replacement from {b: 10, p: 1, y: 3, t: 1}. Give prob of sequence bttp. 0 Four letters picked without replacement from {y: 1, f: 2, v: 4, w: 2}. Give prob of sequence yvww. 1/378 Four letters picked without replacement from uruurrurrruru. What is prob of sequence urur? 21/286 Calculate prob of sequence kj when two letters picked without replacement from {f: 1, u: 1, k: 1, j: 1, v: 1}. 1/20 What is prob of sequence aa when two letters picked without replacement from bbawbwaab? 1/12 Two letters picked without replacement from {p: 2, b: 1}. Give prob of sequence pp. 1/3 Calculate prob of sequence ccc when three letters picked without replacement from cccccccccc. 1 What is prob of sequence fzf when three letters picked without replacement from {z: 2, f: 5}? 4/21 Three letters picked without replacement from ipnuunugu. What is prob of sequence gpu? 1/126 What is prob of sequence ph when two letters picked without replacement from {g: 6, d: 3, h: 1, p: 5, j: 1, o: 3}? 5/342 What is prob of sequence ee when two letters picked without replacement from ejej? 1/6 Calculate prob of sequence sdds when four letters picked without replacement from {s: 14, d: 4}. 91/3060 What is prob of sequence fhf when three letters picked without replacement from {f: 4, h: 1, k: 8, y: 2}? 2/455 T
{ "pile_set_name": "DM Mathematics" }
Let j(c) = -2*c**3 + 435*c + 8. Let x(m) = m**3 - 145*m - 3. Give 3*j(f) + 8*x(f). 2*f**3 + 145*f Let x(i) = 10*i - 2. Let w(u) = 11*u + 5. Let l(n) = 11*n + 9. Let z(c) = 2*l(c) - 3*w(c). What is -3*x(o) - 2*z(o)? -8*o Let b(m) be the first derivative of m**4/4 - 66. Let d(x) = -6*x**3 - x**2. Let t(f) = -f**2 - 3*f - 3. Let k be t(-2). Determine k*d(s) - 5*b(s). s**3 + s**2 Let k(s) = -13*s**3 + 2*s**2 + 2*s - 10. Let n(l) = 51*l**3 - 9*l**2 - 3*l + 39. Let f(a) = -9*k(a) - 2*n(a). Let j(q) = q**3 - q + 1. Calculate f(o) - 12*j(o). 3*o**3 Let r(n) = -n - 1. Suppose 3*k = -i - 20, -5*k = -5*i - 0*k. Let x(q) = 11*q**2 + 6*q + 4. Determine i*r(v) - x(v). -11*v**2 - v + 1 Let r(y) = -8*y - 25. Let s be r(-3). Let q(d) = -28*d**2 - 35*d. Let z(a) = -a**2 - a. Give s*q(f) + 35*z(f). -7*f**2 Let p = 16 - 14. Let v(t) = t + 1. Let o(m) = -5*m - 5. Let h(c) = -o(c) - 6*v(c). Let w(f) = 2*f - 5 + 2 + 4 - 3*f. What is p*h(x) - w(x)? -x - 3 Let a(h) = -5*h + 3*h**3 + 5 - 3*h**3 - h**3 - 5*h**2. Let o(t) be the first derivative of -t**4/4 - 4*t**3/3 - 2*t**2 + 4*t + 6163. Determine -4*a(x) + 5*o(x). -x**3 Let d(g) = -7*g + 4. Let r(t) = t - 1230 + 0*t + 1229 - 4*t. Let o(n) = -4*n - 1. Let i(k) = 4*o(k) - 5*r(k). Give -d(b) + 6*i(b). b + 2 Suppose 41 = 3*w + 3*c + 38, 3*c - 10 = 4*w. Let l(t) = t**3 + t**2 - t. Let z(u) = 6*u**3 + 7*u**2 - 4*u. Let r = 4 + 0. What is r*l(k) + w*z(k)? -2*k**3 - 3*k**2 Let c(x) = 325*x - 1. Let b(g) = -65*g. Calculate 11*b(h) + 2*c(h). -65*h - 2 Let w(h) = -h - 3. Let r(z) = -1017*z - 2034. Calculate -r(u) + 678*w(u). 339*u Let v(k) = -17*k - 9. Let n(s) = -4*s + 0*s + 4 - 6. Let i(f) = f**3 + 6*f + 2*f**3 - 2 - 5*f. Let j be i(1). Calculate j*v(w) - 9*n(w). 2*w Let i(x) = 3*x**3 + 23*x**2 + 6*x - 5. Let a(h) = h**3 + 11*h**2 + 3*h - 2. Calculate -5*a(z) + 2*i(z). z**3 - 9*z**2 - 3*z Let d(x) = -12*x + 11. Let l(v) = -5*v + 4. Calculate -3*d(y) + 8*l(y). -4*y - 1 Let v(t) = 4*t**3 - 3*t**2 - 6*t + 2. Let a(i) = 3*i**3 - 3*i**2 - 5*i + 1. Calculate -7*a(n) + 6*v(n). 3*n**3 + 3*n**2 - n + 5 Let f(q) = -q - 3. Let c(a) = a + 4. Suppose -5*j + 23 = 3, -3*k + 2*j = -31. Suppose -9*u = -k*u + 8. Calculate u*c(b) + 3*f(b). -b - 1 Let l(i) = i**3 + 2*i**2 - 3*i - 10. Let b(j) = 4*j**2 - 5*j - 18. What is -3*b(q) + 5*l(q)? 5*q**3 - 2*q**2 + 4 Let s(d) = 35774*d - 496. Let r(u) = -431*u + 6. What is -248*r(x) - 3*s(x)? -434*x Suppose -q + 1 + 1 = 0. Let b(x) = -q*x**3 + 151*x**2 + 2 + 0 - 155*x**2. Let c(l) be the first derivative of -l**4/4 - l**3 + l - 3. Give 3*b(f) - 4*c(f). -2*f**3 + 2 Let q(c) = -2*c - 19. Suppose -222*h - 81 = -213*h. Let y(s) = s + 10. Calculate h*y(u) - 4*q(u). -u - 14 Let t(v) = -2*v - 1. Let a(u) = 0 - 3 - 2*u - 2*u. Let f be 65/15 + (-12)/(-18). Give f*t(y) - 2*a(y). -2*y + 1 Let k(v) = -6*v - 13. Let x(o) = -2*o - 7. Let h(m) = -3*k(m) + 5*x(m). Let d(b) = -4*b - 2. Let j be (1/3)/((-4)/24). Give j*h(c) - 5*d(c). 4*c + 2 Let w(k) = k - 1. Let t(x) = -7*x. Suppose -4*s - 2 = 29*i - 34*i, -5*i - 13 = s. Determine i*w(a) + t(a). -9*a + 2 Let z(i) be the second derivative of -i**4/3 - 3*i**2 - 24*i. Let l(x) = -3*x**2 - 5. Give 6*l(k) - 5*z(k). 2*k**2 Let d(u) = 1. Let s(i) be the third derivative of -i**5/60 - i**4/12 - i**3/6 + i**2. Suppose -3*y - 83 = -80. Let h be 1 + -5 - -4 - y. Give h*s(c) + 3*d(c). -c**2 - 2*c + 2 Let d(n) = 22*n - 8. Let h(y) = 9*y. Let o(k) = d(k) - 3*h(k). Let t(b) = -10*b - 17. What is 13*o(p) - 6*t(p)? -5*p - 2 Let y(v) = 6*v + 10. Let u = 58 + -51. Let b(x) = -2*x - 3. Determine u*b(n) + 2*y(n). -2*n - 1 Let i(m) = m**3 - 2*m**2 - 6*m + 47. Let c(w) = -w**3 + 3*w**2 + 8*w - 46. What is 2*c(v) + 3*i(v)? v**3 - 2*v + 49 Let x(d) = -32*d**2 - 14*d + 28. Let f(h) = 16*h**2 + 6*h - 13. Calculate 7*f(g) + 3*x(g). 16*g**2 - 7 Let l(g) = 19*g**3 + 2*g**2 - 5*g + 2. Let s(j) = j**3 - j**2 + j. Determine l(y) + 2*s(y). 21*y**3 - 3*y + 2 Let v(o) be the second derivative of -o**4/4 - 2*o**3/3 + 2*o + 1. Let i(d) = 14*d**2 + 20*d. Determine -2*i(y) - 11*v(y). 5*y**2 + 4*y Let g = 3 - -17. Let w(t) = -7 + g - t - 13 - t**3. Let b(i) = -4*i**3 - 2*i**3 + 4*i - 9*i. Determine -3*b(x) + 15*w(x). 3*x**3 Let v(i) be the third derivative of 13*i**6/120 - 3*i**4/8 + 5*i**3/6 - 13*i**2. Let o(a) = 10*a - 4*a - 3 + 4 - 8*a + 3*a**3. Determine 18*o(r) - 4*v(r). 2*r**3 - 2 Let l(j) = 16*j**3 - 19*j**2 + 4*j + 11. Let u(c) = -18*c**3 + 18*c**2 - 3*c - 12. Let q(y) = 3*l(y) + 4*u(y). Let b(p) = p**3 - p**2 + 1. Give 15*b(z) + q(z). -9*z**3 Let t(a) = 5*a - 233. Let j(i) = -17*i + 699. Give 2*j(b) + 7*t(b). b - 233 Let l(f) = f**2 + 1. Let x(q) = -72*q**2 + 4. Give -4*l(d) + x(d). -76*d**2 Let h(l) = -l - 1. Let f(o) be the first derivative of -11*o**2/2 - 7*o - 104. Calculate f(y) - 6*h(y). -5*y - 1 Let m(i) = 46*i**3 - 92*i**2 + 92*i. Let r(p) = p**2 - p. Give -3*m(w) - 276*r(w). -138*w**3 Let t(u) = -u**2 - 2*u + 12. Suppose -6*z - 26 = 16. Let a(w) = 4*w**2 + 7*w - 37. Calculate z*t(n) - 2*a(n). -n**2 - 10 Let y(c) = -5*c**2 - 158*c + 3. Let n(m) = 14*m**2 + 473*m - 8. Calculate 3*n(z) + 8*y(z). 2*z**2 + 155*z Let i(m) = 4*m + 10. Let r(u) = 7*u - 1 - 4*u - u - 3*u. Give i(v) + 8*r(v). -4*v + 2 Let t(n) = -56*n**3 + 4*n**2 - n + 2. Let z(x) = 56*x**3 - 6*x**2 + x - 3. What is 3*t(h) + 2*z(h)? -56*h**3 - h Let m(w) = w. Let l(h) = 115*h - 1. Give -l(a) + 3*m(a). -112*a + 1 Let z(w) = -6*w**3 - 6*w - 2. Let h(f) = -12*f**3 - 11*f - 5. Calculate -2*h(x) + 5*z(x). -6*x**3 - 8*x Let t(l) = 15*l - 8. Let b(s) = 7*s - 4. What is 13*b(o) - 6*t(o)? o - 4 Let j(o) = 4*o - 3. Suppose 4*p + 1 = n, 27 = 5*n - 2*p + 4*p. Let q(r) = 2 - 3 - 107*r + n + 103*r. Give -4*j(a) - 3*q(a). -4*a Let m(b) = -4*b**2 - b + 3. Suppose -124 = -10*s + 6*s. Suppose -29*k - 6 = -s*k. Let h(t) = 5*t**2 + 2*t - 4. What is k*h(q) + 4*m(q)? -q**2 + 2*q Let x(l) = -6. Let k(q) = -q**2 + q + 1. Determine -4*k(d) - x(d). 4*d**2 - 4*d + 2 Suppose 2*h - 13 = -5. Let i(k) = h + 5*k**2 - 6 - 4*k**2 + 3. Let n(r) = 2*r**2 + 2*r + 3. What is -4*i(m) + n(m)? -2*m**2 + 2*m - 1 Let i(x) = -3*x**2 - x - 1. Let d(h) = -410*h**2 - 82*h - 82. Give 2*d(k) - 164*i(k). -328*k**2 Let i(z) = -1. Let n(u) = u - 4. Let j be ((-6)/4)/((-90)/(-48))*5. Determine j*i(y) + n(y). y Let a(r) = 14*r + 9. Let c(o) = 9*o + 6. Suppose -3*j + 2*v = 18, -15 = j + 2*j - v. Let s(f) = -3*f - 4. Let h be s(j). Give h*c(d) - 5*a(d). 2*d + 3 Let s(q) be the third derivative of -q**5/60 + 675*q**2. Let a(n) = -5*n**2 + 14. Calculate a(x) - 3*s(x). -2*x**2 + 14 Let z(q) = 4*q**3 - 58*q**2 - 6. Let g(r) = -4*r**3 + 59*r**2 + 5. What is 6*g(t) + 5*z(t)? -4*t**3 + 64*t**2 Let u(b) = -5*b**2 - 6*b + 46. Let t(c) = -16*c**2 - 20*c + 139. Determine -4*t(f) + 13*u(f). -f**2 + 2*f + 42 Let b(i) = 14*i**3 - 24*i**2 - 8*i - 15. Let a(w) = -5*w**3 + 8*w**2 + 3*w + 5. Determine -8*a(v) - 3*b(v). -2*v**3 + 8*v**2 + 5 Suppose 12 = 5*u - 3. Suppose 2*i = u*o - 13, 7 = -3*o - 5*i - 15. Let s be -3 + (2 + 1 - o). Let j(z) = z + 1. Let m(b) = -b - 1. What is s*m(q) - 2*j(q)? -q - 1 Let o(s) = 3*s**2 + 5*s. Let j be 9/(-6)*38/(-3). Let n = j + -10. Let y(x) = 4*x - 12*x + 4*x**2 - n*x**2. Calculate -8*o(w) - 5*y(w). w**2 Let q(y) = -5*y**2 + 2*y + 2. Let a(p) = 3*p**2 + 3*p + 2. Let l be a(-1). Let m(n) = -26*n**2 - 5 - 5*n + 16*n + 3 + 13. What is l*m(s) - 11*q(s)? 3*s**2 Let r(s) = -8*s**2 + 6*s. Let v(j) = j**2 - 9*j. Let f(p) = 2*p. Let c(w) = 4*f(w) + v(w). Calculate 6*c(y) + r(y). -2*y**2 Let i = -36 - -45. Let u(w) = 14 - i - 8 + 6*w - w. Let q(m) = -6*m + 4. Determine 6*q(d) + 7*u(d). -d + 3 Let i be (5 - 1)/(26/(-52)). Let r(t) be the second derivative of t**4/6 - 4*t**3/3 - 7*t. Let n(g) = -g**2 + 5*g. What is i*n(d) - 5*r(d)? -2*d**2 Let v(t) = 11*t - 2. Let f(w) = 21*w - 1. Determine -2*f(c) + 5*v(c). 13*c - 8 Let l(y) = 85*y**3 - 13*y**2 - 4*y - 29. Let i(z) = -42*z**3 + 6*z**2 + 2*z + 13. Calculate 9*i(v) + 4*l(v). -38*v**3 + 2*v**2 + 2*v + 1 Let u(a) = 2*a - 2. Let i(n) = n - 1. Let l(r) be the second derivative of r**5/20 - 3*r**4/2 + 3*r**3 - 12*r**2 - r. Let f be l(17). Determine f*i(o) + 3*u(o). -o + 1 Let a(g) = g - 1. Let o(c) = 11*c**2 + 13*c - 26. Let f be o(2). Let s(t) = -13*t + 11. Determine f*a(k) + 4*s(k). -8*k Let s(u) = -3*u + 0*u**2 - 1 - 4*u**2 - 4*u. Let p
{ "pile_set_name": "DM Mathematics" }
= -2.5 + k. Put 0.4, q, u in ascending order. q, u, 0.4 Let w = 1.003 - 0.003. Sort 20, w, -4 in descending order. 20, w, -4 Suppose 0 = 3*f - 6 + 12. Sort f, 5, -15 in descending order. 5, f, -15 Let d be (1 + -2)*2 - -1. Let f = -1 + d. Sort f, 0.5, -2/11 in descending order. 0.5, -2/11, f Suppose -3*q + 12 = 3*q. Put q, 4, 5 in decreasing order. 5, 4, q Let i = -1576/13685 - 2/805. Sort 4, -1.3, 0.5, i in decreasing order. 4, 0.5, i, -1.3 Let u = 0.9 - 1. Let t be (4/(-6))/((-14)/(-21)). Let c = 1.2 + -1. Sort c, t, u in decreasing order. c, u, t Suppose a - 3 = 5. Suppose 3*m = -d + a + 8, -5*d = 5*m - 40. Suppose 3*b = 8 + 7. Sort -1, m, b in ascending order. -1, m, b Let q(y) = 8*y - 1. Let f be q(1). Let w = -5 + f. Let h(l) = -l**3 + 7*l**2. Let g be h(7). Put g, -3, w in increasing order. -3, g, w Let g = 0.3 + -0.8. Let f = 6 - 6.04. Let r = 4.96 - f. Put g, r, 3 in ascending order. g, 3, r Let i = -57/4 + 14. Let u = 919/7 + -131. Sort u, -2, i in descending order. u, i, -2 Let i(c) = -c**2 + 9*c - 6. Let w be i(8). Suppose 3*p - w*b - 23 = -4*b, -2*p - 2*b = -18. Let g(r) = -r - 3. Let l be g(-7). Sort p, 3, l. 3, l, p Let z be 5/(-150)*146 + 5. Sort -4, z, -2/5. -4, -2/5, z Let h(s) = 3*s**2 - s - 1. Let g be h(-1). Suppose 2*x = 5*n + 11, 1 = -4*x + 3*n + 2. Let q = 4 + -3. Sort q, g, x in ascending order. x, q, g Let k be (-10)/(-11)*(-3 + 1). Let s = 47/44 + k. Put 1, -1, s in increasing order. -1, s, 1 Suppose -3*b + 3 = -5*q - b, b - 3 = 4*q. Let j be 2 + q/(-7)*-13. Suppose 5*c + 10 = v - 4*v, c = 3*v - 20. Put c, 0.1, j in increasing order. c, 0.1, j Let z be 3 - 7 - (-1 + -1). Put 0.2, z, 4 in decreasing order. 4, 0.2, z Let p = 396 + -401. Let t = 3 + -3.1. Put t, -13, p in ascending order. -13, p, t Let d(g) = 2*g + 3. Let t be d(1). Put -0.4, 0, t in ascending order. -0.4, 0, t Suppose -4*p + 25 = p - 4*t, 0 = 4*p - 4*t - 20. Let w = 9 - p. Let s be (-14)/(-18) - 2/(-9). Sort 0, s, w in increasing order. 0, s, w Let l be 2/((1 - 3)/(-6)*-15). Sort -35, 0.5, 0, l. -35, l, 0, 0.5 Let o = -79 - -84. Let b = -3 - -5. Sort b, -3, o in decreasing order. o, b, -3 Let u = -0.05 + -0.01. Let k = 0.34 - u. Put k, -3, 4 in ascending order. -3, k, 4 Let z(a) = a**2 + 8*a + 10. Let f be z(-7). Suppose -5*q = -o - 16, f*o + q - 3 = -q. Let x be 0/(1 - 1 - o). Sort x, -0.5, -1/5 in descending order. x, -1/5, -0.5 Suppose -1 = -2*p - 3. Let d be p*(4/3 - 1). Put d, 1, -2/5 in ascending order. -2/5, d, 1 Let g be -3 - (-101)/(-10) - -2. Let k = g - -11. Let m be (-3 + 100/36)/(-2). Sort k, -0.5, m in increasing order. -0.5, k, m Let m = 5 + 2. Sort m, -4, 0, -2 in ascending order. -4, -2, 0, m Let c = -17.2 - -14. Let z = -16 - -13. Let f = c - z. Sort 4, -1, f in ascending order. -1, f, 4 Suppose 2*g = 6, p = 5*p - g + 3. Suppose 0 = -2*f - 4, p = -a - 0*f + 2*f - 1. Sort a, 0, -3 in decreasing order. 0, -3, a Let c = -2616 - -7918/3. Let u = c + -23. Let x = -0.3 - 0.2. Sort 0.5, u, x in descending order. 0.5, u, x Let k = 2 - 1.8. Let l = 536/7 - 76. Let v = -6.5 + 6. Put v, k, l in ascending order. v, k, l Let r(a) = -2*a - 10. Let x(m) = -m - 15. Let v be x(-8). Let j be r(v). Put j, -4, -1 in decreasing order. j, -1, -4 Suppose 5*c - 2*y - 10 = 0, 4*c - 2*y + y = 8. Suppose 0*m - n - 3 = 2*m, -3*n - 9 = 4*m. Sort -5, m, c. -5, m, c Suppose 2*v = 5*v + 15. Sort v, -2, -4 in increasing order. v, -4, -2 Suppose 4 = -5*x + 49. Let m be (-15)/x*4/(-10). Put 2, 4, m in increasing order. m, 2, 4 Let n = -24 + 26. Let a(r) = -2*r + 1. Let z be a(n). Put -1, 0, z in descending order. 0, -1, z Suppose w = -3*a - 22, 3*w = 4*a + 6*w + 36. Sort a, 1, -1. a, -1, 1 Let j = -1.4 - -1.5. Put -1, -0.07, j in decreasing order. j, -0.07, -1 Let o = 19 + -21. Sort o, 0.8, -0.1. o, -0.1, 0.8 Suppose p - 6*h + 2*h = 17, -3*h - 17 = -5*p. Sort -2, p, -11, 0 in decreasing order. p, 0, -2, -11 Let c = -1 + 1.1. Let q(p) = p**2 - 11*p - 9. Let z be q(12). Sort 0.5, z, c in decreasing order. z, 0.5, c Let j = -1.9 - -1.5. Put j, 4, -4, -3 in increasing order. -4, -3, j, 4 Let w = -5.02 - -0.02. Sort 0.3, 2, w in descending order. 2, 0.3, w Let d = -39.2 - -39. Sort 1/10, -1, d in increasing order. -1, d, 1/10 Let b = -23.5 - -23.5. Suppose 2*h - h + 4 = 2*i, 4*h = i + 5. Put -1/7, b, i in descending order. i, b, -1/7 Let u = -14 - -14.1. Let b be 30/9 + (-2)/(-3). Sort u, 3, b in decreasing order. b, 3, u Let a = 0 + 0.5. Sort a, 0, 3. 0, a, 3 Let s(v) = -2*v - 1. Let f be s(0). Sort -9, -3, f. -9, -3, f Let v = -11.4 - -12. Let y = 1 - v. Let r = 0.8 + -1. Put -3, r, y in descending order. y, r, -3 Let q = 0.041 + -0.501. Let u = -0.06 - q. Sort u, -1/3, 1/4 in increasing order. -1/3, 1/4, u Suppose -4*v - 3*f - 9 = 0, -8 = 3*v - 2*v - 5*f. Put -18, 1, v in increasing order. -18, v, 1 Suppose -83*c + 85*c = 18. Sort 3/7, -2, c, 4. -2, 3/7, 4, c Let b = 4 - 4.02. Let i = -3.98 + b. Let d = 3.9 + i. Sort 5, d, 0 in ascending order. d, 0, 5 Let l = 487 - 488. Suppose i = -5*u - 16, -i + 0 = 2*u + 4. Put u, l, 1 in increasing order. u, l, 1 Let l = 36 - 18. Let i = 18 - l. Put i, -3, 11 in descending order. 11, i, -3 Suppose -6*k - 24 = -9*k. Let q be (k/(-10))/((-12)/(-30)). Let p be 2 - (3 + q) - -1. Put -5, -1, p in decreasing order. p, -1, -5 Suppose 10 = -5*r - 0. Let n be 3/6 - (-3)/r. Put -5, n, 4 in ascending order. -5, n, 4 Let y(r) = -r**3 - 2*r**2 - r. Let c be y(-1). Let n be (-22)/5 - 4/(-10). Sort n, c, -3. n, -3, c Let b be (-26)/13 + 0 + 0. Let s(m) = -m**3 - 3*m**2 - 2*m - 1. Let y be s(-2). Sort b, 2, y in decreasing order. 2, y, b Let m(w) = -w + 4. Let l be m(6). Suppose 5*g + 5*i + 24 = g, 5*i = 20. Let z = g + 13. Put l, z, -3 in decreasing order. z, l, -3 Let j = 13 - 13.5. Let h = -7 - -6.6. Sort 0.5, h, j. j, h, 0.5 Suppose -2*p + 9 = 7. Suppose -4*y = 5*j - 22, p = -j + 3. Put -2, y, 5 in decreasing order. 5, y, -2 Let o = -13 - -15. Let m be (-14)/(-21) - 34/6. Put 0, m, o in increasing order. m, 0, o Let v = -72 + 77. Let u = 17/15 + 1/5. Put u, -1/2, v in decreasing order. v, u, -1/2 Let y = 8 - 6. Suppose 0 = -5*s - 3 - y. Let f be s/(-5) + 36/(-105). Sort -3/5, 0.4, f. -3/5, f, 0.4 Let m be 0 + 2 + (-5 - -8). Let w = 3 + -1. Put m, w, -1 in ascending order. -1, w, m Let d = 34 - 36.9. Let t = 0.9 + d. Sort t, 4, 3/7 in decreasing order. 4, 3/7, t Let g be 2 + -3 + 15/12. Put 0.4, g, 2, -0.3 in decreasing order. 2, 0.4, g, -0.3 Let m = 16.9 + -16. Let i = -1.1 + m. Put i, 3, 0.3 in decreasing order. 3, 0.3, i Suppose 0 = -6*u + 9 + 3. Put u, -2, 1, -8 in decreasing order. u, 1, -2, -8 Suppose -3*t = 2*t. Suppose -5*p = -t*p - 10. Sort -2, 5, p in increasing order. -2, p, 5 Let o be (-1 + -1 - -4)/1. Suppose 5 = -3*p - 7. Sort -2, p, o in increasing order. p, -2, o Let a = -0.3 - -0.29. Let w = -88 + 88.39. Let v = a - w. Sort v, -0.1, -5 in increasing order. -5, v, -0.1 Let t = 0.18 - -0.22. Let c = 27/76 - 2/19. Sort 0, c, t in decreasing order. t, c, 0 Suppose 2*b = -b - 6. Let u be (-1)/((-1)/4)*6/(-24). Put u, -5, b in decreasing order. u, b, -5 Suppose 0 = 5*s - 8*s + 21. Let w = s + -2. Suppose 3*d + w = -4. Sort -0.1, -0.4, d in decreasing order. -0.1, -0.4, d Suppose -2*d = -8*d + 30. Sort 2/7, d, 1/5, 2/11. 2/11, 1/5, 2/7, d Suppose 2*q - 68 = 5*r - 23, 2*r = -q - 9. Let u = r - -4. Let c be 3*4/(-8) + (-10)/4. Put u, 2, c in decreasing order. 2, u, c Let z = -4.88 + -0.12. Let x = 16/31 - 302/465. Put x, z, 3/4 in ascending order. z, x, 3/4 Let b = -33.7 + 35.7. Let x = 3 + -3.1. Put -5, x, b in descending order. b, x, -5 Let w = 1 + -4. Suppose -3*o - 5*a = -0*a - 26, -5*a + 12 = -4*o. Suppose -c + o = -4*n + 5, -2*n + c + 1 = 0. Put n, w, 4 in descending order. 4, n, w Let h be (-6)/(-1 + 3) + 0. Suppose 9 = 3*a, -4*q + 4*a = -5*q + 19. Let f = q + h. Sort -1, f, 0. -1, 0, f Suppose 0*m - 4*m - 32 = 5*s, 4*s - 2*m + 10 = 0. Let z(g) = -3*g + 1. Let x be z(1). Let d be 2*(6/4 - 0). Put d, x, s in descending order. d, x, s Let j(b) = b**2 - b - 5. Let m be j(0). Let n = -1 - -2. Suppose -8*w + 5*x = -12*w, -5*x - 20 = 0. Sort m, w, n in descending order. w, n, m Let z = 2.2 - -7.8. Let h = -5 + z. Put h, 1/7, 0.2 in decreasing order. h, 0.2, 1/7 Let b = -0.37 + 0.56. Let o = -0.59 + b. Let j = -6 - -3. Put j, o, -2/
{ "pile_set_name": "DM Mathematics" }
What is the hundreds digit of j? 1 Suppose -9*m + 1902 = -1392. What is the hundreds digit of m? 3 Let t be -11*(1 + -131) + -2. What is the tens digit of t/132 - 2/(-11)? 1 Let s(p) = -10*p**2 - 205 + 11*p**2 + 19*p - 8*p + 497. What is the tens digit of s(0)? 9 Let s(f) = 4*f - 47. Let k(l) = -6*l + 71. Let h(o) = -5*k(o) - 8*s(o). Let c(n) = -n**3 - 6*n**2 - 4*n. Let r be c(-4). What is the tens digit of h(r)? 5 Let x(u) = 9*u**3 - 5*u**2 + 7*u - 2. What is the units digit of x(5)? 3 Let h(n) = -679*n + 29. What is the tens digit of h(-1)? 0 Let o(y) = -6*y. Let w be o(-1). What is the tens digit of (1012/w)/(30/45)? 5 Let x(m) be the third derivative of m**5/30 + m**4/6 - m**3/6 - 15*m**2. What is the units digit of x(-6)? 7 Suppose -i + 0*i = -2*s - 3, 39 = 5*i + 2*s. Let n = -20 - -18. Let r = i + n. What is the units digit of r? 5 Let d be (54/45)/((18/(-3580))/(-3)). Suppose -d = 10*l - 2356. What is the tens digit of l? 6 Let k = -969 - -1736. What is the units digit of k? 7 Let t = 1408 + 2495. What is the tens digit of t? 0 Let i be 30/4*6280/50. Suppose -p - i = -7*p. What is the tens digit of p? 5 Let r(v) = -32*v + 30. What is the units digit of r(-4)? 8 Suppose -3*g + 9 = 0, g + g - 6 = -s. Suppose 3*w - 13*w + 550 = s. What is the tens digit of w? 5 Let x be (-1 + 16)/(12/(-12)). What is the units digit of 200/x*(-90)/25? 8 Let l be -353 - 6/(4*2/(-4)). Let u = -190 - l. What is the hundreds digit of u? 1 Let r = -154 + 160. Suppose 2*f - f + x = 8, -15 = -5*x. Suppose f*l - 130 = -3*d, l - r = 2*d + 7. What is the units digit of l? 3 Let u(y) = -378*y + 11. Let b be u(-2). Suppose -10*w + 483 = -b. What is the hundreds digit of w? 1 Suppose -2*h = h. Suppose h = -3*a + 4*a - 47. What is the tens digit of a? 4 Suppose 0 = 2*m + 2*g + 24, -24 = 2*m - 6*g + 2*g. Let b be 39*(20/m - -2). Let i = b - -16. What is the tens digit of i? 2 Suppose -4*n + 647 = -853. Suppose -8*q + n + 737 = 0. What is the hundreds digit of q? 1 Let m(x) = 64*x**2 - 5*x - 9. What is the hundreds digit of m(-3)? 5 Suppose 3*i + 3 = 0, -2*y - 4*i - 4 = -5*y. Suppose y = 8*z - z - 595. What is the tens digit of z? 8 Suppose 4*r = 4*m - 72, -4*r = 4*m + 50 - 2. Let v = r - -14. Let w = 6 + v. What is the units digit of w? 5 Let n = 19 - 21. Let p be n/((-3)/(-246)*-4). What is the units digit of p + (-1)/1*3? 8 Suppose 5*i + 23 = -q - 0, 0 = 3*q - 4*i - 26. Suppose -q*p + 3*y - 46 = -180, 2*p - 4*y - 138 = 0. What is the tens digit of p? 6 Suppose 35 - 1565 = -10*g. Suppose 111 + g = 6*r. What is the units digit of r? 4 Suppose 2155 + 1973 = 16*a. What is the tens digit of a? 5 Let u(j) = -j**2 - 38*j + 44. Let m be u(-19). Suppose 3*f - 213 = 3*s + 195, 3*f = 4*s + m. What is the units digit of f? 9 Suppose r + 2*r - 57 = 0. Let l = r - 11. Let g = l + -6. What is the units digit of g? 2 Let n(j) = -15*j - 106. What is the tens digit of n(-8)? 1 Let t(x) = 12*x**2 - 9*x + 4. What is the tens digit of t(6)? 8 Suppose -2*m + 206 = -772. What is the hundreds digit of m? 4 Let t(p) be the second derivative of p**5/12 - p**4/8 - p**3/2 - 3*p**2 + 7*p. Let d(n) be the first derivative of t(n). What is the units digit of d(3)? 3 Suppose 4*j + 0*j + 7 = v, -2*v + 11 = -5*j. Let q(d) = -1 + 16*d - d**2 + v + 3. What is the tens digit of q(13)? 4 Suppose -5*n - 3*t + 104 = 0, 2*n = 3*t + 44 + 6. Let f = 26 - n. Suppose -14 + 122 = f*g. What is the units digit of g? 7 Let j = 13 - 8. Let n = j - 1. Suppose -5*p - 67 = -n*v, 4*v + 5*p - 87 = 6*p. What is the units digit of v? 3 Let k(h) = 23 - 43 + 4*h**2 + 14 - 3*h + 0*h. What is the tens digit of k(-8)? 7 What is the units digit of -1*-502*(-3)/(-6)*8? 8 Let v(j) = 2*j**2 - 2*j + 2. Let h be v(1). Suppose 2*u - 47 = -5*l, 4*u = h*l - 0*l + 130. What is the units digit of u? 1 Let v be 15 - 17 - 1*2. Let c be 172 - 0/(0 + v). Suppose -4*l + c = 4*a, 3*a - 6*a - 5*l = -139. What is the units digit of a? 8 Let k(q) = -5*q + 43. Let g be k(9). What is the hundreds digit of -12 + 9 + (-426)/g? 2 Suppose 3*c - 24 = 5*c - 4*v, 3*c + v = -64. Let n = c - -14. What is the tens digit of (-8)/12 - 64/n? 1 Let a(w) be the second derivative of -w**5/20 - w**4/6 + w**3 - 3*w**2/2 + 36*w. What is the tens digit of a(-5)? 4 Let z be (-8)/(-12) + -2 + 322/(-6). Let x = 136 + z. What is the units digit of x? 1 Suppose -73*q = -0*q - 77599. What is the hundreds digit of q? 0 Let r(m) = m**3 - m**2 - 3*m + 6. Let v be r(4). Suppose 2*q - 4*q + v = 0. What is the units digit of q? 1 Let p = 285 + -151. What is the units digit of p? 4 Suppose 96*j - 155*j = -37347. What is the hundreds digit of j? 6 Suppose -4*d + o + 8 = 83, 0 = -5*d + o - 94. Let m = 26 + d. What is the units digit of m? 7 Let l = -2720 - -7847. What is the tens digit of l? 2 Suppose d + 2 = -0*d, 60 = 2*u - 3*d. Suppose r - 7 = u. What is the tens digit of r? 3 Suppose -14*a + 80 = -9*a. Let p = a + -4. What is the tens digit of (-26)/p*-2*3? 1 What is the hundreds digit of (-18045)/30*(0 + -2)? 2 Suppose 0 = -4*u + 640 + 1304. What is the hundreds digit of u? 4 Suppose -31*o = -24*o - 12985. What is the units digit of o? 5 Let o(s) = 2*s**3 - 9*s**2 - 18*s + 27. What is the tens digit of o(8)? 3 Let x be (-2)/(-3)*(-4 + -2). What is the tens digit of 24*(x + 44/8)? 3 Let b = -1 - -3. Suppose -d = b*d - 405. Suppose d = 5*i - 4*j, i + 0*i = -4*j + 3. What is the tens digit of i? 2 Let f = 62 - 55. Let k(d) = 3 + 2*d - d**2 + 7*d + 2. What is the units digit of k(f)? 9 Let f = 2732 - 1376. What is the units digit of f? 6 Let g be (16/10)/((-5)/(-50)). What is the tens digit of 6*g*3/6? 4 Suppose 55*q - 6096 = 49*q. What is the hundreds digit of q? 0 Let o(j) = j**3 + 5*j**2 - 11*j - 28. Let m be o(-6). Suppose -m - 82 = -4*s. What is the tens digit of s? 2 Suppose 5*t + 135 = 4*p, -2*p + 2*t = -4*p + 72. Suppose -p = -4*q - 3*y + 4*y, 2*q - 3*y = 15. What is the units digit of q? 9 Suppose 4*y = 2*s + 2674, -5*y - 11*s = -12*s - 3335. What is the hundreds digit of y? 6 Suppose 5*g - 12282 = -4*w, -312 = 5*w + 3*g - 15658. What is the thousands digit of w? 3 Let j(n) = 7*n**2 + 7*n + 4. Let q be j(4). Suppose -4*a = -6*a + q. What is the units digit of a? 2 Suppose -3551 = -5*l - 2*a + 974, -4*a = -4*l + 3592. What is the hundreds digit of l? 9 Let w be ((-232)/20)/((-12)/30). Suppose 1 = -2*s + w. What is the tens digit of s? 1 What is the hundreds digit of ((-2856)/15)/((-7)/70)? 9 Suppose -2*c + 5*i + 930 = 0, 0 = 4*c + 10*i - 5*i - 1920. What is the units digit of c? 5 Let z be (-165)/(-40) - (-1)/(-8) - -1262. Let l be (-3)/(-15) + 122/(-10). What is the units digit of z/21 - l/(-42)? 0 Let h = -10 - -20. Suppose q - h + 1 = 0. Suppose q + 17 = c. What is the units digit of c? 6 Suppose -2*j + 5*w - 1182 = -4*j, 5*w + 2394 = 4*j. Suppose -87*t = -91*t + j. What is the units digit of t? 9 Suppose 26 = 5*h + g, -4*h + 21 + 7 = -g. Suppose -h*n + 99 = -5*n. What is the units digit of n? 9 Let p(j) = 2*j**3 - 14*j**2 - 6*j + 42. What is the tens digit of p(12)? 1 Suppose 82 = 8*g - 446. What is the units digit of g? 6 Suppose 22764 - 4400 = 4*y. What is the units digit of y? 1 Let i = -38 + 70. Suppose 3 = -r - 4*q - 3, 0 = -2*q + 4. Let x = r + i. What is the units digit of x? 8 Suppose 19 = 3*f + 5*b, -6 + 4 = 2*b. Suppose -59 = -f*w + 285. What is the tens digit of w? 4 Let m(r) = -1491*r + 59. What is the hundreds digit of m(-1)? 5 Suppose 5*k - 93 = 2*z, -k - z = -12 - 8. Suppose -17*h = -k*h + 158. What is the units digit of h? 9 Let c = 774 - 332. What is the tens digit of c? 4 Suppose 17*d + 2*x - 10539 = 12*d, 3*d - 4*x - 6313 = 0. What is the thousands digit of d? 2 Let a be (4/(-4))/(-3)*12. What is the tens digit of 351/a - 12/(-48)? 8 Suppose -2*b = -0*b - 218. Let k = -172 - -98. Let u = k + b. What is the units digit of u? 5 Let w(o) = -155*o - 27. What is the units digit of w(-5)? 8 Let t = 17 + -17. Suppose t = 3*l - 2*b - 211, -21 = -5*l + b + 333. What is the tens digit of l? 7 Suppose 4*i = 9*i + 215. Let z = 12 - i. What is the tens digit of z? 5 Let f = -274 + 1409. What is the thousands digit of f? 1 Suppose -10*h - l = -9*h - 4091, -h + 5*l = -4079. What is the units digit of h? 9 Let g(c) = 13*c**2 - 55*c + 8. What is the tens digit of g(
{ "pile_set_name": "DM Mathematics" }
f 4*a**4/3 - 52*a**3/3 + a**2 - 20*a. Find the first derivative of t(x) wrt x. 32 Suppose -f - 7 = 4*j, j + 0*j = -4*f + 17. Let r be j/(-9) + 308/12. Find the third derivative of 9*h**4 - 11*h**2 + 26*h - r*h wrt h. 216*h Let u(q) = -200*q**4 - 7*q**2 + 6*q - 22. Let r(m) = 133*m**4 + 5*m**2 - 4*m + 15. Let h(d) = -7*r(d) - 5*u(d). What is the second derivative of h(z) wrt z? 828*z**2 Let c(b) be the first derivative of 0*b**5 + 8 - 15/2*b**2 + 4/3*b**6 + 0*b + 0*b**3 + 0*b**4. Find the second derivative of c(i) wrt i. 160*i**3 Let o(w) = 2*w**2 + 11*w + 11. Let x be o(-5). Let r be ((-6)/10)/(1/(-5)). What is the second derivative of -3 + x*n + r + 7*n**4 + 0 wrt n? 84*n**2 What is the first derivative of 174*f**3 - 1234 + 2413 - 1040 wrt f? 522*f**2 Let z(p) = p**6 + 48*p**3 + 7*p**2 - 32. Let k(w) = -w**3 - w**2. Let r(y) = 3*k(y) + z(y). What is the third derivative of r(f) wrt f? 120*f**3 + 270 What is the second derivative of 670*p**2 + 689*p - 59*p**2 + 161*p**2 wrt p? 1544 Let u(d) be the first derivative of -d**5 + 11*d**3/3 + d**2/2 - 15*d + 3. What is the second derivative of u(j) wrt j? -60*j**2 + 22 Let x(c) = -c**2 + 9*c + 10. Let z be x(10). Suppose 2*t = -3*t + 3*g + 10, z = g. What is the second derivative of a + 0*a**2 + a**2 - 4*a**t wrt a? -6 Suppose 0 = 5*r - 84 + 19. Find the first derivative of 7*y**4 + y**4 - r - 9*y**4 wrt y. -4*y**3 Let x(t) be the first derivative of -61*t**4 + 314*t**3/3 - 227. What is the third derivative of x(s) wrt s? -1464 Find the second derivative of 280*t**2 + 26*t + 5*t + 8*t + 233*t**2 wrt t. 1026 Let j(i) be the first derivative of -2*i**7/21 - 13*i**3/6 - 16*i - 3. Let p(v) be the first derivative of j(v). Find the second derivative of p(a) wrt a. -80*a**3 Let l = 201 - 3013/15. Let u(b) be the second derivative of -l*b**6 + 0*b**3 + 0*b**5 - 1/4*b**4 + 0 + 0*b**2 + 6*b. Find the third derivative of u(p) wrt p. -96*p Let l(w) be the first derivative of -1/3*w**6 + 5/2*w**2 + 0*w**4 + 0*w**5 - 21 + 0*w**3 + 0*w. What is the second derivative of l(m) wrt m? -40*m**3 Let x(z) be the third derivative of z**7/168 + z**5/15 + 4*z**3/3 - 5*z**2. Let v(y) be the first derivative of x(y). Find the second derivative of v(q) wrt q. 30*q Let w(h) be the second derivative of 13*h**7/420 - h**4/2 + 5*h**3/3 + 3*h. Let s(z) be the second derivative of w(z). Find the first derivative of s(j) wrt j. 78*j**2 Let g be (38/(-95))/(2/(-10)). What is the second derivative of 0*o + g*o**3 + 10*o**3 + 3*o - 4*o wrt o? 72*o Suppose 0 = -5*b - 5*h, 4*h + 23 = 2*b - 1. Find the first derivative of -10*j**b - 13 + 5 + 5*j**4 - 3*j**4 wrt j. -32*j**3 Let v(h) = 2*h + 45. Let b be v(-21). Find the third derivative of 12*q**3 - q**2 - 10*q**3 - 35*q**b + 4*q - 7*q**3 wrt q. -240 Let a(p) = -p**2 + 12*p - 29. Let i be a(4). Differentiate -17*t**3 - 19 + 13 - i wrt t. -51*t**2 Suppose -5*b + 1750 + 4540 = 0. What is the first derivative of b*o - 18 - 10*o**4 - 1258*o wrt o? -40*o**3 Suppose 0 = -m + 4*i - 4, 0*m - m + 4 = 4*i. Let x(n) be the first derivative of 1 + 4/3*n**3 - n**2 + m*n. What is the second derivative of x(w) wrt w? 8 What is the first derivative of 86*o - 49*o - 181 + 36*o wrt o? 73 Let i(y) = -6*y**3 + 6*y**2 - 22*y + 8. Let t(m) = -5*m**3 + 6*m**2 - 22*m + 6. Let x(k) = -2*i(k) + 3*t(k). Find the second derivative of x(d) wrt d. -18*d + 12 Find the third derivative of -15*u + 85*u**6 + 15*u - 44*u**2 + 8*u**2 wrt u. 10200*u**3 Let q(k) = 34*k - 102. Let l(g) = -2*g - 1. Let n(d) = 6*l(d) - q(d). Differentiate n(j) wrt j. -46 Let h(o) be the third derivative of 11*o**8/168 + 5*o**4/4 + o**3/2 - 40*o**2. Find the second derivative of h(p) wrt p. 440*p**3 Let h = -176 + -149. Let q be (-3)/(-9) + h/(-15). Differentiate -q*m - 1 - 3*m**2 + 22*m wrt m. -6*m Let c(b) be the second derivative of 503*b**7/42 - 205*b**4/4 - 290*b. What is the third derivative of c(j) wrt j? 30180*j**2 Let r = -62 + 84. What is the derivative of -r + 30 + 22*j - 17 wrt j? 22 Find the third derivative of 1277*j**2 - 706*j**2 - 721*j**2 - 181*j**4 wrt j. -4344*j Let m(d) be the first derivative of -d**5/60 - 5*d**4/12 - 5*d**2/2 - 13. Let k(p) be the second derivative of m(p). Find the second derivative of k(h) wrt h. -2 Let l(t) = 10*t**3 + 5*t**2 - 5. Let v(h) = -9*h**3 - 5*h**2 + 4. Let n be 2/(-1)*(-3 + 5). Let f(y) = n*l(y) - 5*v(y). Find the third derivative of f(k) wrt k. 30 Let c(h) = -2*h**5 + h**4 - h - 1. Let v(m) = -380*m**5 - 3*m**4 + 42*m + 8. Let y(f) = -3*c(f) - v(f). Find the second derivative of y(t) wrt t. 7720*t**3 Let g(m) be the second derivative of -12*m + 0*m**4 + 0*m**2 + 0 + 1/30*m**6 - 4/3*m**3 + 0*m**5. Find the second derivative of g(v) wrt v. 12*v**2 Let b(f) be the first derivative of 11*f**6/3 - f**4/2 + 3*f**2/2 - f + 49. What is the second derivative of b(i) wrt i? 440*i**3 - 12*i Let b(u) = -u - 9. Let n be b(-9). Let d = n - -7. What is the first derivative of -d*f**2 + 67 + 0*f**2 - 73 wrt f? -14*f Let n(p) be the second derivative of -69*p**8/56 - p**4/12 - 6*p**2 - 6*p - 31. What is the third derivative of n(z) wrt z? -8280*z**3 Let j(m) be the third derivative of 17*m**5/12 + 20*m**3/3 + 70*m**2. Differentiate j(w) wrt w. 170*w Let l(r) be the second derivative of -9*r**8/14 - r**7/21 - r**4/3 - 5*r**2/2 - 5*r - 1. Find the third derivative of l(f) wrt f. -4320*f**3 - 120*f**2 Let n(j) be the third derivative of -j**7/105 + j**6/120 - 89*j**5/60 - j**2 + 29*j. What is the third derivative of n(y) wrt y? -48*y + 6 Let c be 0/((-5)/((-15)/(-6))). Suppose 3*s = -2*x + 4, 2*s = -c*s + 5*x + 28. What is the third derivative of -9*f**2 - 11*f**s + 16*f**2 + f - f wrt f? -264*f Let g be (-9)/(-12)*(-20)/(-5). Find the first derivative of 21*x**3 + 8 - 48 + 12*x**g wrt x. 99*x**2 Let d(j) be the second derivative of -3*j**3 + 197*j**2/2 - 181*j. Differentiate d(l) with respect to l. -18 Let a(t) = 175*t**3 - 223*t**2 - 17*t. Let h(w) = -58*w**3 + 74*w**2 + 6*w. Let n(s) = 6*a(s) + 17*h(s). Find the third derivative of n(c) wrt c. 384 Let h(w) = 59*w - 2. Let n be h(2). Differentiate -j + j - 120*j**3 + n*j**3 - 2 with respect to j. -12*j**2 Let f = -9 + 9. Suppose f = -c - 0*c. What is the first derivative of c + 2 - 4 + 0*g**4 - 4*g**4 wrt g? -16*g**3 Let v(h) = -1 - 12*h + 8*h + 2*h**2 - 6*h**2 + h**3. Let k be v(5). Find the second derivative of -4*d + d**2 - 3*d + k*d wrt d. 2 Let y(t) = 4*t**2 - 3*t + 4. Let r be y(2). Differentiate 2 + 1 - 9*k**3 + 5 + r*k**3 wrt k. 15*k**2 Let w(o) = 81*o**3 + 27*o - 26. Let p(t) = -t**3 + t**2 - t - 8. Let l(g) = 3*p(g) - w(g). Find the second derivative of l(d) wrt d. -504*d + 6 Let t(w) = 5*w**4 + 67*w**3 + 10*w**2 + 5*w - 570. Let h(c) = -5*c**4 - 66*c**3 - 12*c**2 - 6*c + 571. Let b(f) = 5*h(f) + 6*t(f). Differentiate b(r) wrt r. 20*r**3 + 216*r**2 Find the first derivative of -28*y**4 - 10*y**4 - 65*y**4 - 7*y**4 - 44*y**4 - 47 wrt y. -616*y**3 What is the third derivative of -453*d + 3*d**5 - 17*d**2 - 26*d**2 + 44*d**2 - 25*d**6 wrt d? -3000*d**3 + 180*d**2 Let l(m) be the first derivative of m**10/1008 - m**6/120 + 13*m**3/3 - 2. Let r(s) be the third derivative of l(s). Find the third derivative of r(b) wrt b. 600*b**3 Let m(a) be the third derivative of 307*a**6/40 - 275*a**4/8 + 8*a**2 + 20*a. What is the second derivative of m(t) wrt t? 5526*t Suppose 3 = 6*t - 15. Find the second derivative of -43*o + o**5 - t*o**5 + 44*o wrt o. -40*o**3 Let p(j) be the second derivative of 3*j**5/10 + j**3/6 - 11*j**2/2 - 36*j + 1. What is the first derivative of p(o) wrt o? 18*o**2 + 1 Let i(j) be the first derivative of 23*j**4/4 - 7*j**2/2 + 150*j - 265. What is the first derivative of i(z) wrt z? 69*z**2 - 7 Let t be 4/(-4 - 0)*(-1 - 1). Find the second derivative of 21*v**2 - 3*v**t - 24*v + 12*v**2 wrt v. 60 Suppose 5*k - 10 = -0*k. Suppose 3*i + 1 = -3*r - k*i, 10 = 2*r - 2*i. Find the first derivative of 1 + r + 2*f**3 - 1 wrt f. 6*f**2 Let n = 76 + -66. Find the third derivative of 40*s + n*s**4 - 14*s**2 + 7*s**4 - 40*s wrt s. 408*s Let d = 54 + -54. Let x(s) be the first derivative of 1/2*s**2 + 0*s + 4 + 5/4*s**4 + d*s**3. What is the second derivative of x(v) wrt v? 30*v What is the second derivative of 43*r - 5*r**5 - 2*r**3 + 44*r - 21*r**
{ "pile_set_name": "DM Mathematics" }
Which is the fourth biggest value? (a) 3/8 (b) 281 (c) 1/6 (d) -3/8 (e) 2 (f) 0 c What is the fourth biggest value in 1/6, -22, 1/5, 0.5, -0.03, 4? 1/6 Which is the biggest value? (a) -6/23 (b) 2/5 (c) 20/33 (d) 2 (e) -1/5 (f) 1 d What is the smallest value in 0.1, -0.2, -0.1, 0, -4.2, 6? -4.2 What is the smallest value in -0.4, -4/21, -1/7, 0.27, 0.2? -0.4 What is the third biggest value in -4, 39, 4, -5, -2/11? -2/11 Which is the second smallest value? (a) 2 (b) 53 (c) -5 a Which is the third smallest value? (a) 12 (b) -0.112 (c) -1.2 (d) 2/9 d What is the smallest value in 1/7, -5, 1, 0.38, 1/2, 29? -5 What is the third smallest value in 66/131, -1/3, 0.4, 1/4? 0.4 What is the biggest value in -3/7, -47, 2, -0.13, -1/7, 3? 3 Which is the second smallest value? (a) 9 (b) -12 (c) 4 (d) -257 b What is the biggest value in 4/3, 0, 0.4, 0.11, -8.4? 4/3 Which is the smallest value? (a) 0.1 (b) 4 (c) 3/293 (d) -2 d Which is the third biggest value? (a) 12 (b) -0.024 (c) 0.0227 b What is the smallest value in -1, -2, -0.021, -2/67, 0.2? -2 Which is the fourth biggest value? (a) 11 (b) 6 (c) 2/7 (d) -0.5 (e) 2/3 c Which is the sixth smallest value? (a) -3 (b) -0.4 (c) -0.59 (d) -5/2 (e) 0 (f) 2/17 f Which is the fifth biggest value? (a) -4 (b) -1/4 (c) 0.01 (d) -0.3 (e) -0.1 a What is the third biggest value in 2, -7/12429, 0.5? -7/12429 What is the third smallest value in 3/2, -3, 0.04, -4, -2/11, 0.666? -2/11 Which is the third biggest value? (a) -0.1 (b) -0.3 (c) 2 (d) 105280 a What is the third biggest value in 0.2, 0.5, -0.3659? -0.3659 Which is the sixth biggest value? (a) -3 (b) -0.05 (c) -1 (d) -1/8 (e) 4 (f) -0.4 a Which is the fifth smallest value? (a) 1.2 (b) 0.6 (c) 0 (d) 7 (e) -1/5 d Which is the second biggest value? (a) 1 (b) 11.6 (c) 71.1 (d) -0.4 (e) 5 b Which is the third biggest value? (a) 3 (b) 2/1249 (c) -41 c Which is the smallest value? (a) 1 (b) 0.2776 (c) -3 c What is the fourth biggest value in 7/4, 0.06, 10, 2/5, 1? 2/5 Which is the biggest value? (a) -2200 (b) -5/4 (c) 2/3 c What is the smallest value in -1/2, 2, 85, -0.2? -1/2 What is the third biggest value in 5/1557, -0.03, 0.5? -0.03 Which is the smallest value? (a) 29917 (b) -4 (c) -5 c Which is the biggest value? (a) 5/4 (b) -5/7 (c) 1447 c Which is the second biggest value? (a) 0.234 (b) 1 (c) -18 (d) 0.3 d What is the third smallest value in 3, -42, -4, -20? -4 Which is the third biggest value? (a) 1/3 (b) -0.28 (c) 0.054 b What is the fourth biggest value in -74, 2/13, 2/5, 2, -3/4? -3/4 What is the sixth biggest value in 1.1, 3/2, 16, 3/7, 0, 1/24? 0 What is the third smallest value in 3/5, -10/417, -0.023, -3? -0.023 Which is the biggest value? (a) 6778 (b) 0.4 (c) 1/11 (d) -12 a Which is the fifth smallest value? (a) -25/7 (b) 1/2 (c) 0.02 (d) -1 (e) 1 (f) -3/4 b What is the second smallest value in 4, -10, -7/2, 0.5, -11, -4? -10 Which is the third biggest value? (a) 4 (b) 95 (c) 1/3 (d) -0.2 c Which is the second smallest value? (a) -0.2 (b) -5 (c) 94 (d) 1/7 (e) -2/7 (f) 5 e What is the third smallest value in 3/439, 0.1, -4, 7/2, 0, 1/2? 3/439 What is the second smallest value in -1, 0, 0.462, -178, -4? -4 What is the fifth biggest value in -242, 9/10, -2, -0.1, -6/7, 1/3? -2 What is the third smallest value in -5, 545, -2, 1/4, 0.5, -2/3? -2/3 What is the third biggest value in -8, -5, 1.892? -8 Which is the second smallest value? (a) 0.6 (b) 0.5 (c) 0.2 (d) -0.2 (e) 2 (f) 56 c Which is the second smallest value? (a) 91 (b) -3 (c) 2 (d) -50 b What is the fourth smallest value in 2, -277891/2, -6/7, 0.4? 2 What is the second biggest value in -14, 680, 18? 18 Which is the third biggest value? (a) -4 (b) 2/17 (c) -3/4 (d) -0.77 d What is the third biggest value in -0.21, 2/9, -4, -15/92? -0.21 Which is the smallest value? (a) 2 (b) -9 (c) -0.2113 b Which is the fifth biggest value? (a) 0.4 (b) -5/3 (c) 0.5 (d) -3 (e) 35/12 d Which is the smallest value? (a) 0.43 (b) -0.4 (c) -766 c What is the third smallest value in 2/341, -1, -0.5, 127, 1? 2/341 What is the biggest value in -0.44, -2/5, 21? 21 What is the third biggest value in -1.1, -4/7, -0.4, -0.04? -4/7 Which is the third biggest value? (a) -3/16 (b) -10 (c) 3/5 (d) -67 (e) 4/7 a Which is the fourth smallest value? (a) 0.1 (b) 0.05 (c) 3/8 (d) -1/3 (e) -5779 a What is the third smallest value in -2/1917, 26, -0.3? 26 Which is the second biggest value? (a) 0.2 (b) -4 (c) -25732 (d) -3 (e) 2/9 a Which is the third smallest value? (a) -33/7 (b) -4 (c) -2 (d) 0 (e) -41 b Which is the biggest value? (a) -4 (b) -0.03833 (c) -3 (d) 1 (e) -24 d Which is the fourth biggest value? (a) 15 (b) 1/7 (c) -32 (d) -0.128 c Which is the third biggest value? (a) -0.4 (b) 0 (c) -0.81 (d) -3 c Which is the third biggest value? (a) -1 (b) 0.3 (c) 3.3 (d) -0.02 d What is the third biggest value in -2/7, -971, -2, -0.3, -6? -2 What is the second smallest value in -60, -2625, -1/6? -60 What is the third biggest value in 0.08, 8787, -3/8, -1? -3/8 What is the third smallest value in -5, -2/3, -0.5009, -3/7, 3/7, -3/2? -2/3 Which is the fourth smallest value? (a) -3 (b) -0.5 (c) 5 (d) 0.06 (e) -0.06 (f) -0.1716 e What is the fourth smallest value in 3, -0.2, -1.3, 0.3, -4, -0.05? -0.05 Which is the third smallest value? (a) 0.1 (b) -212 (c) 4 (d) 3/5 d What is the smallest value in 1/5, 4/337265, -2/7? -2/7 Which is the second biggest value? (a) -312/5 (b) 0.1 (c) 6 (d) 2/9 d What is the fourth smallest value in -4, 1/10, 0.3, -63, 3/5? 0.3 What is the fifth smallest value in -1/3, 5/3, 0, 806, -0.1? 806 What is the smallest value in -1/5, 0.096, 0.8, 2/19? -1/5 What is the fifth biggest value in 4, -3, 4/7, -3/40, -7? -7 Which is the second biggest value? (a) -562 (b) 3 (c) -1/5 (d) -0.7 c Which is the third biggest value? (a) 0.2 (b) 122302 (c) -1 c What is the second biggest value in -0.4, 4, -28843? -0.4 What is the fourth biggest value in 0, 2.2, -1.387, 2/11, 2? 0 Which is the sixth biggest value? (a) -0.08 (b) 0.2 (c) -0.2 (d) -8 (e) -0.52 (f) 2/5 d What is the smallest value in -32.32, 10, -2/81? -32.32 Which is the second biggest value? (a) 6 (b) 3 (c) -16 (d) 3/2 (e) -2 (f) -0.22 b Which is the third biggest value? (a) -1 (b) 44.524 (c) 1 a What is the second smallest value in -9, -3, 4067, -0.11? -3 Which is the third smallest value? (a) -2/5 (b) -64 (c) 46 c Which is the second biggest value? (a) -8 (b) 4 (c) 36 (d) 3/2 (e) -3 b What is the third smallest value in -442/7, 44, -3? 44 What is the third smallest value in -2/3, 3/5, 2487, -3/7, -4? -3/7 Which is the third biggest value? (a) -39/80 (b) 1/4 (c) 0 a What is the third biggest value in -0.2, -0.4, 2/11, -326, -2/9? -2/9 Which is the second smallest value? (a) -2 (b) 0.2 (c) -0.3 (d) -1668 (e) -2/3 a Which is the third biggest value? (a) -1.0124 (b) 5 (c) 4 a What is the biggest value in 0.04, -0.1, -1759, -5? 0.04 Which is the sixth biggest value? (a) -46 (b) -0.1 (c) -5/3 (d) 0.2 (e) -11 (f) 2/7 a What is the fourth biggest value in 3, 4/103, -4, -120? -120 Which is the fifth smallest value? (a) 2 (b) -3 (c) -20 (d) -1/4 (e) 34 e Which is the fourth biggest value? (a) -10/11 (b) -5 (c) -3 (d) 2/9 (e) 36 c Which is the third biggest value? (a) -5 (b) 0.5 (c) -89 (d) -0.3 (e) -40 (f) 3 d Which is the third biggest value? (a) -1 (b) 46 (c) 15/34 (d) -0.1 d What is the second smallest value in 1, 3, 259367? 3 What is the biggest value in 13.42, -2/17, -3? 13.42 Which is the fourth smallest value? (a) 2 (b) 3 (c) -3 (d) 7/526 b Which is the third smallest value? (a) -2/7 (b) 0.043393 (c) 0.5 c Which is the second smallest value? (a) 75/4 (b) 8 (c) 0.08 b What is the third biggest value in -260, -5, -4/3? -260 What is the fourth smallest value in -0.4, 16, -0.01, 160, -1, -0.5? -0.01 Which is the second smallest value? (a) -0.03 (b) -0.2 (c) 2/33 (d) 0.4 (e) -4/9 b Which is the biggest value? (a) 0.3 (b) 23 (c) -27220 b Which is the second smallest value? (a) -2 (b) 100 (c) -1128 a What is t
{ "pile_set_name": "DM Mathematics" }
(c) = 143*c**2 + 8*c + 8 - 3 - 147*c**2. Let x be (-55)/(-30) - (-4)/24. Let f(g) = x*m(g) + 3*z(g). What is f(6)? 4 Let v(z) = z**3 + 10*z**2 - 13*z - 23. Let i = 7015 + -7026. What is v(i)? -1 Let g(x) be the second derivative of 4/3*x**3 + 1/12*x**4 + 255*x + 2*x**2 + 0. Determine g(-5). -11 Let i(r) = 9*r**2 - r + 1. Let z be (-2)/2*60/(-3). Suppose 30 = 10*m + z. Give i(m). 9 Let g(k) = -13*k**3 + k + 2. Suppose -6*z = -z + 4*y - 7, -19 = 4*z - 5*y. Give g(z). 14 Let j(r) = -4*r**2 + 64*r + 47. Let t(n) = -9*n**2 + 128*n + 83. Let k(x) = 5*j(x) - 2*t(x). Give k(33). 3 Let r(b) be the third derivative of -1/120*b**6 + 2*b**2 - 2/3*b**3 - 7/24*b**4 + 0*b + 5 - 3/20*b**5. Calculate r(-8). -12 Let t be 3*((-24)/18)/(-1). Suppose w + 15 = -t*w - 5*a, -w - 1 = 3*a. Let m(o) = o**2 + 7*o + 6. Calculate m(w). -6 Suppose -434 = -268*o - 675 - 563. Let r(u) = 2*u**2 + 6*u + 10. What is r(o)? 10 Let p(n) = 7*n + 72. Suppose -7*u + 167251 = 167363. Determine p(u). -40 Let a = 3387 + -3368. Let y(v) = -v**3 + 17*v**2 + 36*v + 44. Calculate y(a). 6 Let z(n) = 13*n + 7. Suppose -14*i + 14 = -0*i. Let y(o) = -4*o + 1. Let v(k) = i*z(k) + 3*y(k). What is v(-3)? 7 Let y(a) = -13*a + 17. Let d(r) = -9*r**3 + 3*r**2 + 11*r + 6. Let u be d(-1). Calculate y(u). -74 Let r(m) be the second derivative of m**5/20 - 7*m**4/12 + 7*m**3/6 + 3*m**2 + 1446*m. Give r(6). 12 Let h(x) = 14384 - 841*x**2 + 837*x**2 - 14386. Let b(v) = -v**3 + 2*v**2 - v + 1. Let u be b(2). Determine h(u). -6 Let t(b) = 57*b - 8. Let d(u) = -200*u + 22. Let o(n) = -2*d(n) - 7*t(n). Let l(f) = f**3 - 5*f**2 - 2*f + 10. Let m be l(5). Calculate o(m). 12 Let p be (-3)/(-2) + 3316/8 + 5. Suppose p - 431 = -2*i. Let z(g) = g**3 - 4*g**2 - 4*g - 4. Give z(i). 1 Let u(s) = -s**2 + 4. Let m be u(7). Let n = m - -41. Let b(x) be the third derivative of -x**5/60 - x**4/12 + 5*x**3/6 - 148*x**2. What is b(n)? -3 Let v(r) = r**2 + 18*r + 58. Suppose -3*q + 2*c = 48, q + 276*c + 2 = 272*c. Give v(q). 2 Let q(d) = d**3 + 14*d**2 + 15*d - 15. Let s = 1829 + -1842. Give q(s). -41 Let i = -23 - -26. Suppose -2*z = -i*z + 7*z. Suppose -5*y - 12 - 8 = z, -j + 16 = -4*y. Let v(l) = -l - 18. Determine v(j). -18 Let c = -11 + 4. Let x(v) be the third derivative of v**5/60 + v**4/3 + 2*v**3/3 - 1128*v**2. Give x(c). -3 Let r(i) be the second derivative of 23*i**3/3 - 9*i**2/2 - 12*i + 1. Let x(w) = -18*w + 4. Let l(m) = 2*r(m) + 5*x(m). Calculate l(4). 10 Let u(c) be the third derivative of c**6/90 + c**5/120 + 125*c**4/24 + 26*c**2 - 1. Let x(s) be the second derivative of u(s). What is x(2)? 17 Let a(o) = -o**2 - 14*o. Let t(y) = 9*y**2 + 2*y + 77. Let i be t(0). Suppose -21 - i = 7*j. What is a(j)? 0 Let g(o) = 11*o - 28*o + 13*o + 5*o + 2. Let v be g(-8). Let w(a) = -a - 1 + 2*a - 5. What is w(v)? -12 Let c = 157 - 129. Let x be (-38)/(-14) + 8/c. Let s(l) = l - 4. Calculate s(x). -1 Let p(x) = 98*x - 87. Let y(a) = 349*a - 263. Let z(l) = -7*p(l) + 2*y(l). Give z(-7). -1 Let u(w) = w**3 - 3*w**2 + w - 3. Let x(d) = -5*d + 196. Let c be x(35). Suppose c + 23 = 11*y. Calculate u(y). 17 Let y = 23 + -18. Let j = y - 11. Let g(v) = 58*v**2 + 33*v - 22. Let p(d) = -13*d**2 - 8*d + 5. Let q(b) = -2*g(b) - 9*p(b). What is q(j)? -1 Suppose -4*v - 14*v = -216. Let b = v - 8. Let o(w) = -7*w + 3. What is o(b)? -25 Let i(g) = 508 - 979 + 7*g + 489 - g**2. Give i(-2). 0 Let h(z) = -7*z + 20. Let i = 814 + -811. Suppose 0 = 4*t + 2*d - 20, -d + i = 1. Determine h(t). -8 Let j = -2 - -3. Let r(k) be the third derivative of 38*k**2 + 1/60*k**5 + 0 - 1/12*k**4 + 0*k + 1/6*k**3. What is r(j)? 0 Let p be (-57)/(-3) - (-95)/(-19). Let f(h) = 39*h - 8*h - 3 + h**2 - p*h - 14*h. Give f(-5). 7 Suppose -22*h - 30 = -32*h. Let t(o) = 5*o**2 - 9 - 5*o + h - 4*o**2 + o + 0*o. Calculate t(7). 15 Let b(n) = -16*n + 118. Let f(t) = -t**2 + 16*t - 51. Let a be f(10). Calculate b(a). -26 Suppose 4*s + 6*n - 9*n - 2093 = 0, 3*n = -4*s + 2075. Let o = s + -520. Let k(z) = 5*z + 2. Calculate k(o). 7 Let s(i) be the second derivative of i**4/12 - 9*i**3/2 + 77*i**2/2 - 157*i - 6. Calculate s(22). -33 Let k(n) be the second derivative of -n**5/20 + 7*n**4/12 - 5*n**3/6 + 3*n**2 - 2*n. Let f = -197274 + 197280. Give k(f). 12 Let m(j) = 2*j**3 + 5*j**2 - j - 5. Let a(p) = -p**3 - p**2 - p + 3. Let o(s) = a(s) + m(s). Let w(c) = c - 2. Let z be w(-2). Give o(z). 6 Let z(b) = b**3 + 10*b**2 - b - 1. Let t = -2432 + 2422. Calculate z(t). 9 Let i(p) = 207*p - 78. Let u(c) = -95*c + 37. Let t(f) = 4*i(f) + 9*u(f). Determine t(-4). 129 Suppose 7*i - 15 + 22 = 0. Let o(u) = -2*u**3 - u**2 - 2*u - 1. Let z be o(i). Let x(p) = -40*p**2 + z*p - p + 41*p**2 - 2. Calculate x(0). -2 Let s be 88/(-308) + 10/(-28)*-40. Let y(a) = 3*a + 3*a**3 - 13 - 4*a**3 - s*a**2 + 8*a**2 + 5*a**3 - 3*a**3. What is y(6)? 5 Let t(m) = -3*m**2 - 29*m - 38. Let n(k) = 4*k**2 + 33*k + 36. Let d(v) = 2*n(v) + 3*t(v). Determine d(-19). -4 Suppose 25 = 2*m + 19. Let w(g) = -7*g - m*g**2 - g**3 - 2 + 5*g + 1. Let c(s) = s**3 + 10*s**2 + 14*s - 20. Let u be c(-8). What is w(u)? 23 Suppose -3*z - 8 = -20. Suppose -10 = z*h + 6. Let b be ((-2)/1)/(2*h/24). Let g(s) = -s**2 + 8*s - 8. What is g(b)? 4 Suppose 0 = -23*l - 3*l + 260. Let v be (((-210)/(-50))/(-7))/(2/l). Let z(c) = -2*c - 1. Give z(v). 5 Suppose 5*q + 32 = 3*w, -20*w = 3*q - 24*w + 17. Let p(y) = y**3 + 2*y**2 - 37*y - 13. Calculate p(q). 1 Let a(i) = -2 + 0*i**3 - i**3 - 77*i + 3 + 4*i**2 + 83*i. Let q = 21 + -1. Let o = -15 + q. Determine a(o). 6 Let m = -12 + 100. Let j(s) = -s - 90 - m + 170. Determine j(-9). 1 Let i(c) = 2*c**3 - c**2 - c + 12. Suppose -7062*p = -7050*p. What is i(p)? 12 Let f(s) = -3 - 3 + 9*s**2 + 1 + 10*s + s**3 - 1 - 3. Let q be f(-2). Let h(u) = -16*u**2 - 2*u - 1. Determine h(q). -15 Suppose -8*o + 104 + 504 = 0. Let m(s) = 4*s + 12 - o + 68. Give m(-3). -8 Let q(b) = -6*b + 39. Let d be q(6). Let m(u) = 6 - 5*u + 6*u + u - u. Let y(a) = -a**2 - 2*a - 19. Let j(x) = -7*m(x) - 2*y(x). What is j(d)? 5 Let r(h) = -h**2 + h - 18. Let n be (-2 + 4)*(-65)/(-2) + -3. Let p = n - 55. Suppose -j = -p + 7. Give r(j). -18 Let z = -61 + 68. Suppose j + 2 = -n - 0*n, z = -2*j - 5*n. Let g(b) = b - 1 - 3*b - 3*b + 2*b**3 + 3*b. Calculate g(j). -1 Let o(j) = j - 16 + 29 + 6*j - 5. What is o(4)? 36 Let i(q) = -q**3 - 9*q**2 - 16. Let u be (12 - 1302/98)*7. Determine i(u). -16 Let b(c) = c + 3. Suppose -129*n = -27*n + 1122. What is b(n)? -8 Let v(g) = 8*g - 3*g**3 - 15*g**2 + 0*g + 16*g + g - 8. Let a(u) = -u**3 - 8*u**2 + 12*u - 4. Let t(b) = 5*a(b) - 2*v(b). Determine t(9). 5 Suppose 12*p + 103 = 151. Let a(h) = -11*h**2 + h**3 + 5*h - 3 + 14*h**2 - 8*h**2. Give a(p). 1 Let o(j) = -3*j + 25. Let q = 36 + 440. Let p = q - 466. Give o(p). -5 Let x(s) = -s**3 + 15*s**2 - 5*s + 16. Suppose -44 + 495 + 209 = 44*n. What is x(n)? -59 Let o(l) be the second derivative of -l**5/120 + 73*l**3/6 - 154*l. Let s(w) be the second derivative of o(w). What is s(0)? 0 Let k = -110 + 112. Let l(y) = 10 + k - 12 + y. Give l(0). 0 Let s(g) be the first derivative of g**4/4 + 2*g**3/3 - g**2/2 - 15. Let f be s(1). Let a(r) = 0*r - 6*r**f - r + r**2. Give a(-1). -4 Let d(h) = -6*h**3 + 1. Let f be d(-1). Let y(k) be the first derivative of k**3/3 - 9*k**2/2 + 5*k + 66668. Calculate y(f). -9 Let c(w) be the first derivative of -1/3*w**3 - 24 + 0*w**2 + 6*w. Suppose 0 = -2*j + 2*z + 6, 4*z = 5*j - 0*z - 12. What is c(j)? 6 Let b(o) = -o - 23. Let z = 61 - 86. Let y be b(z). Let i(c) = 2*c**2 - 11 + 4*c**2 + 10 - 3*c**y + 2*c**3. Determine i(-2). -5 Let s(l) = -713*l + 713*l + 3*l**2 - 3*l**2 + 13 - 9*l**2. Let n(o) = -7*o**2 + 12. Let t(k) = -4*n(k) + 3*s(k). Let a be (-2)/(-6) + 1/(-3). Calculate t(a). -9 Let j(g) = -31*g - 30 - 21*g - 22*g - 29*g + g**2 + 86*g. What is j(18)? -12 Let f(t) be the first derivative of -t**4/4 - 8*t**3/3 + 5*t**2 + 2*t - 572. Let v = -11 - -2. Give f(v). -7 Let n(f) = -f**2 - 4*f + 3. Let y(o) = -3*o**2 - 8*o + 8. Let l(t) = 7*n(t) - 3*y(t). Let p = -31 - -29. What is l(p)? 13 Suppose -378 = 50*u - 8*u. Let w be -1 + (49/(-7) - u). Let c(j) = -9*j + 3. Determine c(w). -6 Let i(m) = 5*m - 22. Let f be (4 + 0)*35/(-100)*-5. Determine i(f). 13 Let v = 78 + -25. Let u = 46 - v. Let f = 12 + u. Let s(
{ "pile_set_name": "DM Mathematics" }
64))/(7/126) a composite number? True Let z(f) be the second derivative of 11*f**4/12 + 7*f**3/6 - 17*f**2/2 + f. Suppose 5*n = -3*y + 37, 0 = -2*n - 4*y + 1 + 11. Is z(n) composite? False Is (3 - 4 - -14888)/(6/(8 + 34)) a composite number? True Suppose z + u - 21109 - 22833 = 0, -5*z + 219712 = 3*u. Is z prime? True Let r(p) = 25801*p + 11009. Is r(14) prime? True Is (-45)/(-360) - 2*(3289701/(-48) + -3) composite? False Let l = 240870 - -2029. Is l prime? False Suppose 0 = -0*i - 2*i - 4, -2*x = i - 50. Let b = x - 32. Is 3 + b - (-782 - -1) a composite number? True Let c(p) be the third derivative of -p**4/6 - 5*p**3/6 - 38*p**2 - 4. Suppose -1 = 4*n + 15. Is c(n) a composite number? False Is 5184397/(-57)*2/(-4)*6 a composite number? False Let r(h) be the second derivative of 141*h**3/2 - 8*h**2 + 41*h + 1. Is r(1) a composite number? True Suppose -10*w = -2*w - 24. Suppose y - 2*y + 5876 = 4*t, 3*t - w*y - 4422 = 0. Suppose t = 3*c - 219. Is c composite? False Let z be (110/(-15))/((-2)/327) - -1. Suppose -2*o + 4074 = z. Is o a prime number? False Suppose -2*l + 236416 = 124842 - 126684. Is l prime? True Is 237282 + -15 + (28 - 32) a composite number? True Suppose 3*c - 15 = 2*q, 6 = 5*c - 2*q + 5*q. Suppose -12 = c*j - 6*j. Suppose j*t + 356 = 8*t. Is t a composite number? False Let m(h) = 40*h**2 + 13*h - 3. Suppose -3*j = -4*o - 26, 0*o + 2*o - 5*j + 6 = 0. Is m(o) composite? True Let y = 255546 - 126020. Is y composite? True Let m(n) = 1834*n**2 - 19*n - 1. Let h be m(4). Let a = -17160 + h. Is a composite? False Let x(s) be the first derivative of 241*s**2/2 - 18*s - 94. Is x(5) a composite number? False Suppose 3*n = n + 12. Suppose 0 = n*m - 18*m + 108. Is ((-9)/m)/(1/(-2229)) composite? True Suppose 3*g + 168790 = 4*n - 254862, 2*n - 211826 = -5*g. Is n prime? True Let t(r) be the third derivative of -23*r**4/2 + 19*r**3/6 - 132*r**2 - 6. Suppose 4*h - 9 = 5*x, 4*x + 3*h = -36 + 4. Is t(x) composite? False Suppose 18 + 10 = 14*h. Suppose -4846 = -2*l + 3*s, -6072 + 1222 = -h*l + 4*s. Is l a prime number? True Suppose 0 = -2*i - 4*u + 16, i + 2*u + 2 = 5*u. Let g be 6/i*((-90)/(-5) + 0). Is ((-33)/2 + 0)*(-306)/g composite? True Suppose 5*h = -4*v - 763 + 205102, -4*h + v + 163488 = 0. Is h prime? False Let i(m) be the third derivative of 13*m**5/60 - 13*m**4/12 + 7*m**3/3 - 39*m**2. Is i(7) prime? False Let g = 2 + 26. Let r(d) = -29 + g - 4*d + 389*d**2 + 3*d. Is r(-1) a prime number? True Suppose -3*t + 246 = -2*v + 1361, 1080 = 2*v + 4*t. Suppose 4812 = o + v. Let k = -2536 + o. Is k prime? False Let m(j) = 189*j**2 + 7*j - 1. Let a(k) be the second derivative of -k**3/6 - 9*k**2/2 - 8*k. Let g be a(-5). Is m(g) a prime number? False Suppose 0 = 5*n + 25, -3*i = 5*n - 1693470 - 582932. Is i composite? True Let l(r) = r**2 + 5*r + 2. Suppose m - 2*a = -0*m - 3, -5*a = -2*m - 5. Let b be l(m). Suppose b*h + 3*h = 6995. Is h a prime number? True Let p(g) = -3*g - 11. Let c be p(-4). Let q be c*(-2 + 0) - -321. Suppose 0 = a - 4*h - q, h = 2*a - 2*h - 638. Is a prime? False Let o(h) = -173*h + 171. Let t be o(-26). Suppose 0 = 5*i - t - 21466. Is i composite? False Let i(x) = -x**3 + 9*x**2 - x + 3. Suppose 0*o - o - 5*g = -14, 5*o = -2*g + 47. Let h be i(o). Let d(l) = 12*l**2 - 6*l + 10. Is d(h) composite? True Suppose 7261489 = 91*p - 393522. Is p prime? True Is ((-163148)/12)/(-1)*(-3 - 0 - -6) prime? True Let n(s) = -10*s**3 + 4*s**2 + 20*s + 77. Is n(-12) a composite number? True Suppose -2*i - 3*a + 0*a = 81, -3*a + 99 = -2*i. Let q be i/(-25) + 2/10. Suppose q*o - 200 - 344 = 3*f, 2*o - 528 = -5*f. Is o a composite number? False Let m(p) be the second derivative of p**5/20 - 7*p**4/12 - 17*p**3/6 + 2*p**2 - 98*p. Is m(11) prime? False Let y(q) = 21*q**2 + 4*q + 1. Let a(m) = 56. Let g(r) = r. Let o(u) = a(u) - 3*g(u). Let b be o(20). Is y(b) a prime number? False Suppose -3*g + 37112 = g - 4*f, -2*g = 4*f - 18532. Suppose -4722 - g = -4*b. Is b a composite number? False Let y = -586298 - -936421. Is y prime? False Let f = -171 + 172. Is f + (-3106)/(-1) + (-22)/(-11) composite? False Is (-1616190)/(-15) - ((-10)/(-3))/(22/33) composite? False Is -1 - (5/(90/(-236238)) + 1/3) composite? True Let k(q) = q**3 - 8*q**2 + 15*q - 13. Let u be k(6). Let i be (-4)/(u + -3) + 7. Is 3/i - (-11135)/25 a prime number? False Suppose 5*g - 14*t - 245 = -19*t, -g = 4*t - 49. Suppose 0 = 9*u + g - 12298. Is u a prime number? True Let y(g) = -3*g**2 + 47*g - 75. Let q be y(37). Let v = q - -6570. Is v composite? False Suppose -8910 = 40*u - 35*u. Let b = u - -2579. Is b composite? False Let g(z) be the first derivative of z**4/4 - 11*z**3/3 + 5*z**2 + 6*z - 22. Let w be g(10). Suppose -5*p - 15 = 0, w*p + 4926 = 3*a + p. Is a prime? True Suppose -8*q = 18*y - 7*q - 114351, 0 = 5*y + 2*q - 31759. Is y prime? True Suppose -3*y - k = 7 - 2, -4*k - 20 = -4*y. Suppose -z = -0*z - 4*b + 19, y = 3*z + b - 8. Is (-1 - (-4 - 175)) + z a composite number? False Suppose t + 9*t - 20 = 0. Suppose -t*z = -5*z + 37410. Suppose 2906 = -12*v + z. Is v a composite number? False Let j(y) = 1091*y**3 - 2*y**2 + 3*y + 3. Let c be j(2). Suppose -40383 = -8*k + c. Is k prime? False Let g = 463026 + -71423. Is g prime? False Is ((-1)/3)/(16/32*(-6)/7688313) composite? False Suppose -32*w + 106 = 10. Is (5 - 196)*(4 - (w - -2)) composite? False Let o(x) = -18664*x**3. Let c be o(1). Let f be c/(-3)*(-3)/(-2). Suppose -d = -5*d + f. Is d a prime number? True Let l(t) = -5511*t + 9817. Is l(-14) a prime number? False Let u(t) = t**3 + 6*t**2 + 2*t + 8. Let k be u(-5). Let o = -23 + k. Suppose -m + 710 - 91 = o. Is m prime? True Suppose -7*o + 4*o - 28967 = -5*x, 3*x + 5*o = 17353. Is x composite? False Suppose 8*b - 7*b = -2*b. Let x be ((-14)/(-4) - b)/((-10)/(-140)). Suppose -54*d = -x*d - 8095. Is d a composite number? False Let w(d) = -51958*d + 1375. Is w(-4) composite? True Let p be (-23)/((-345)/(-147186)) + (-2)/(-5). Let y = 24939 + p. Is y a composite number? True Let k(a) = 3*a**3 - 4*a**2 + 3*a + 3. Let g(b) = -b**3 + 2*b**2 - b - 1. Let s(v) = -5*g(v) - 2*k(v). Let r be s(0). Is (r*(-1)/(-3))/((-54)/94932) composite? True Suppose -1543 = -2*b + b + 4*y, -4*y - 4613 = -3*b. Is b a prime number? False Suppose 0 = -0*n + 3*n + 5*t + 78, 0 = -2*n - 2*t - 48. Let g = n + 79. Is g a prime number? False Let y(n) = 2*n**3 + 53*n**2 - 55*n + 53. Is y(-24) a prime number? True Let j = -149 - -151. Suppose 0 = j*n - 11 - 147. Is n a prime number? True Let c(j) = -1159*j - 3. Let y be c(6). Let q = -2340 - y. Suppose q = 5*a - 958. Is a composite? True Let f = -32903 - -58965. Suppose -11*r = -158595 - f. Is r a composite number? False Let o(h) = 14*h**2 + 9*h - 70. Suppose 2*b - 2*s = 22, 3*s + 47 = b + 40. Is o(b) a composite number? True Let q = -32926 - -56625. Suppose 3*y = 6*v - v - q, -y + 2 = 0. Is v a composite number? True Is (-18)/(-27)*281563 + 2/6 a prime number? False Suppose 0 = x - 2*w - 2847 - 8532, -4*w = -8. Is x a composite number? False Let x(i) = 52708*i + 843. Is x(2) composite? True Let f(g) = 2*g**3 - 9*g**2 - 20*g + 38. Let c(y) = -y**3 - 11*y**2 - 8*y + 29. Let u be c(-10). Is f(u) a prime number? True Let o = -277 - -280. Suppose 4*y = -d + 12061, 5*d + o*y = 39789 + 20465. Is d a prime number? True Suppose 0 = -q + 5*y + 28796, -q + y = -20938 - 7846. Is q prime? False Let p(f) = -f**3 - f**2 - 1. Let j(o) = 47*o**3 - 19*o**2 - 3*o + 1. Let c(i) = -j(i) + 3*p(i). Is c(-5) prime? False Is 7 - ((-1634790)/25 + 14/(-35)) prime? False Let o = 5819 + -894. Suppose -f + 3*f + 2 = 0, o = 2*t - f. Is t a composite number? True Let d be 27/36 + (-24303)/(-12). Suppose 4113 = 7*r - d. Is r composite? False Is (-75321701)/(-35) - ((-36)/15)/6 composite? True Let p = -21378 + 31219. Is p composite? True Let p be (57/(-19))/((-1)/117). Let u = p + -493. Let a = 273 + u. Is a a prime number? True Let s = -453 + 455. Suppose -s*x = -23*x + 628971. Is x a composite number? True Let d be -1 + -7 + 14 + -2. Suppose 5*v - 7328 = -n + 7134, -4*v = -d*n + 57728. Is n composite? False Let p(s) = 25116*s - 269. Is p(2) a prime number? False Let p be (-517)/55 - -10 - (-11417)/5. Let u = p - 1089. Is u a prime number? False Let p = 626 - 383. Is p/(-27)
{ "pile_set_name": "DM Mathematics" }
- 6 = 5*s - 2. Is 2/43 at most i? False Suppose m - 7 = -0*p - p, -12 = -3*p. Is m greater than 1? True Let j(f) = -f**3 - 8*f**2 - 5*f + 13. Let b be j(-7). Is b equal to 1? False Let f be ((-3)/(-2))/((-4)/(-8)). Suppose -2*p - 3*y = -6*p - 7, -f = 4*p + y. Let n be 1/(p/(-4)*-6). Which is greater: n or 0? 0 Let i = -36 - -36. Is 5/12 bigger than i? True Let q(l) = l**3 - 6*l**2 + 6*l - 4. Let h be q(5). Let g be -1 - (h - (-169)/28). Let f = -51/7 - g. Are 0 and f non-equal? True Let r = -0.91 + 6.78. Let x = r - -0.13. Let m = x + -6. Is m greater than 0.03? False Let v = -0.005 + 10.005. Is v less than -1/4? False Suppose 4*w - 1 = 3*w. Let b = 9/34 - 185/442. Is b equal to w? False Suppose y = -2*y. Let u(w) = 3*w**3 - w**2 - 2*w - 1. Let x be u(2). Let d be 1/5 + 7/x. Which is smaller: d or y? y Suppose -3*c + 9 = -12. Suppose 4*n - 8 = -2*w, -4*w + c*w = 3*n - 15. Suppose 0 = n*s + 2*s. Which is bigger: s or 1? 1 Suppose 9 = -4*k + k - 3*q, -3 = -4*k + q. Let g = k - -7. Let v = g + -8. Which is bigger: v or -2/3? -2/3 Let v(h) = -h + 1. Let t(i) = -5*i - 6. Let m(o) = t(o) - 6*v(o). Let a be m(12). Is a at most as big as -2? False Let p = 94/39 - 7/3. Let j be 2 - -1*(-2 + 1). Which is greater: p or j? j Let r be (1 + 2)/(-261*5/(-30)). Which is smaller: r or 1? r Suppose 2*o + 9 - 7 = 0. Is o greater than 1? False Let h be 216/16 + 1/(-2). Let v(s) = -s**3 + 5*s**2 - s - 2. Let j be v(3). Is j less than h? False Suppose 4*n + 4*l = 156, -2*n - n + 5*l = -141. Are 42 and n non-equal? False Let o = 7 - 7.4. Let a = o - 0.6. Let f = 4/3 + -5/6. Which is smaller: a or f? a Suppose -92*t + 97*t - 15 = 0. Which is smaller: 6 or t? t Let c = 20 + -32. Let j = c - -12. Is j not equal to -1/3? True Let j = -4/13 + -14/39. Which is smaller: -4/5 or j? -4/5 Let l = 551 + -840. Let f = l - -14737/51. Does f = 1? False Suppose 5*d = 4 - 14. Let r be 2/(-8) - d/8. Let a be (6/(-15))/(1/(-2)). Do a and r have different values? True Let a be 2/7 - 4/14. Suppose a = 2*t - 2, -2*u + 8*t - 3*t - 1 = 0. Suppose 2 = 3*b + 3*v - 4, -2*v - u = 5*b. Is -1 at most as big as b? False Let f = 199/3 + -70. Which is smaller: -4 or f? -4 Let o be 2 + 21/3 - 3. Is o at least as big as 6? True Let c = 44 + -44. Let u = -0.1 - 0. Let a = 0.1 + u. Is c bigger than a? False Let a = 6.974 + 0.026. Let o = 0.3 - 0.4. Is a equal to o? False Let q(v) = -5*v - 3*v - 3 + 7*v - 4. Let i be q(-6). Is -1/2 at least i? True Let a(c) = -c**3 - 12*c**2 + 13*c + 3. Let r be a(-13). Let k be (2/(-6))/((-1)/r). Let t = 3/13 - 2/65. Which is smaller: t or k? t Let g(n) = n**3 + 3*n**2 + 2*n + 3. Suppose 2*p + 3*p + 3*b = 2, -4*b = -16. Let w be g(p). Is w less than 1? False Let g be (-1 - -4)*-1 - 1*-13. Suppose o - 6*o + 45 = 5*k, -1 = -4*o + 3*k. Suppose -o*n = n - g. Is n > 1? True Let g = -0.019 + 13.019. Is g less than or equal to -0.4? False Let z(b) = b + 2. Let q be z(-3). Suppose -2*w = 3*w. Let p = q - w. Which is greater: p or 1/7? 1/7 Suppose -4*i = 6 + 2. Let v be ((-4)/i)/(14/2). Which is bigger: v or -0.1? v Suppose 9 = m + 7. Let n be 35/65 - (-1 + m). Suppose 0 = 2*b - 4 + 2. Which is smaller: n or b? n Let b be -4 + (-410)/(-56) + 33/(-44). Are b and 0 equal? False Let h = -39 - -39. Which is smaller: h or 2/17? h Let k be (-1 + 0)/((-8)/(-2 + -6)). Is k at most -16/19? True Let z = 4.1 + -4. Suppose -c = -5*w - 0*c - 13, w - 4*c = 5. Let l = w - -4. Which is greater: l or z? l Let u be (-106)/14 - 12/28. Let z = 11 + u. Is z not equal to 0.1? True Let k be 1/(1/(-1 + 2)). Which is smaller: -1/9 or k? -1/9 Let b(j) = j**3 - 5*j**2 + 4*j + 3. Let g be b(4). Is 5 at most g? False Let r = 13 + -19. Let q be 1456/72 - r/(-27). Which is greater: q or 19? q Suppose 0 = 5*k - 0*k. Which is smaller: 1/9 or k? k Let h = 121 - 30. Is 92 not equal to h? True Let x = -0.15 + -0.05. Is x at most as big as 0? True Let a be (-18)/(-5) - 10/(-25). Does a = 5? False Let b = 0.01 + 0.19. Let o = 3 + -2. Let t = 0.9 - o. Are t and b unequal? True Let z be (2 - 5) + 1458/492. Let f = -89/1312 - z. Is f at most as big as -1? False Let b = 13 - 9. Let h = -2 + b. Is 0.1 bigger than h? False Let r = 262/11 - 24. Which is bigger: r or 0? 0 Suppose 0*j - 4*j + 11 = -3*y, 3*y = -j + 14. Suppose 0*n = -3*w + n + 5, -y*w = -4*n - 11. Which is smaller: w or -1/8? -1/8 Suppose -47 = -4*n - 3. Which is smaller: n or 15? n Suppose 0 = 3*m + 15, -v - 4*m = 19. Which is greater: v or -0.15? v Let c = -15.81 + 16. Let y = -0.11 - c. Which is greater: 1/4 or y? 1/4 Suppose -r - 2 = 1. Is r <= -3/2? True Let y = 0.9 - 2.9. Which is smaller: y or 1? y Suppose -f + 4*u + 4 = 0, 47 = -4*f + 2*f - 3*u. Let c be (-12)/f + 30/(-8). Is 0 at least c? True Suppose p - 4*w + 75 = 0, -w = -p - 0*p - 78. Is p at most -79? True Let d be (-1)/3 - (-20195)/(-165). Let q = d - -123. Let u(c) = -c**3 + 4*c**2 + c - 5. Let a be u(4). Is q smaller than a? False Let f be 6/(-8) + 27/60. Is 0 > f? True Let d(a) = -3*a - 10 + 3*a + 2*a - a. Let j be d(9). Is j equal to 4/9? False Let t = -1/4706 - 81083/17059250. Let i = 8/125 - t. Which is bigger: i or 0? i Suppose 0 = -4*j - 4 - 0. Let u = -0.3 + 0.5. Is j at least u? False Suppose -4*z + 1 - 9 = 0. Suppose 0 = -6*x + x + 40. Let v = 6 - x. Do v and z have different values? False Let f(l) = -l**3 - 4*l**2 - 3. Let s be f(-4). Let c = -7 - s. Which is smaller: c or 0? c Let u be (-8)/(-6)*(27/8 + -3). Is 2/3 > u? True Suppose -3*p + 3 = -3*o - 3, -2*p + o = -4. Let b be -1 + -3 - (-1 + p). Let i(u) = u**2 - 8*u - 5. Let x be i(8). Is x less than or equal to b? True Suppose f = -4 + 1. Are f and -20/9 non-equal? True Let u(b) = 4*b**2 + 3*b + 14. Let y be u(-4). Is 67 at least y? True Suppose -4 = -2*x - 10, f + 5*x + 13 = 0. Let k = -1046/3 - -350. Are k and f nonequal? True Suppose -2*l = l + 12. Let z be -3*l/6 + -1. Suppose -4 = -u - 2. Is u at most as big as z? False Suppose 0 = 2*s + 3*s + 200. Let u = s + 116/3. Which is smaller: 0 or u? u Let g be (-38)/24 + (-1)/(-4). Let q be 3 + 3*28/(-18). Let y = q - g. Which is smaller: y or 1/4? y Let d be 2*1 - 7/5. Let v = -67 + 68. Is d greater than or equal to v? False Let a(s) = -s**3 + s**2 + 4*s. Let x be a(3). Which is bigger: -8 or x? x Let c be (-12)/(-10)*105/6. Suppose -3*v - c = -5*j, -2*j - 3*v - 12 = -4*j. Which is smaller: j or 0? 0 Suppose 5*j = -3*z + 2, -2 = z - 0*j - j. Which is bigger: -3/2 or z? z Let j = 4 - 6. Let x be j/8 - 11/4. Let v(p) = -p**3 - p**2 - p + 1. Let b be v(1). Is x >= b? False Let y be (-4)/(-6) - 15/9. Suppose -3*u - m + 3 = 0, 0 = -0*u - u + 3*m - 9. Let i be (-2)/7 - (0 + u). Which is bigger: i or y? i Let b be -2*-8*(-1 - -2). Suppose 2 = -4*i - 2*z, i + 0*z - b = 5*z. Is 0 at least i? False Let l be (-66)/(-72) - (-2)/(-8). Is -3/7 equal to l? False Let i = -98 + 96. Is i at least as big as -7? True Let m(h) = h**2 + h - 1. Let z be m(1). Suppose -4 - z = 5*v. Which is smaller: 1/6 or v? v Let o = 2.1 - 2. Let a = 6 + -6.7. Is o greater than a? True Let y = 13/20 + -177/280. Are y and 0 non-equal? True Let h be 5/(-2)*(-162)/(-45). Do -7 and h have different values? True Let i be (-4 + 2)/(2/2). Let d be -2 + (-3 - -18) + -1. Let h be 1 - 2 - 6/d. Is h smaller than i? False Let z be (8/(-20))/(8/(-15)). Let p be 0/(-3) - -2*1. Suppose 0*j = p*j - 2. Are z and j unequal? True Suppose -21 = -3*h + f + f, 14 = 2*h + 4*f. Suppose h + 0 = o. Is 8 bigger than o? True Let r be (-3 + 30/4)*(-1)/(-9). Which is smaller: r or -2? -2 Suppose 0 = -2*p + 5*d + 6, -5 = -5*p + 5*d + 10. Suppose 2*b = p*b + 5. Let l(u) = -u**3 - 5*u**2 - 3*u. Let i be l(-4). Is i bigger than b? True Suppose 0*h = -4*h + 20. Suppose -5*a + x = 1 + 29, 18 = -3*a - h*x. Do -7 and a have different values? True Let r be (2/(-6))/((-1)/39). Suppose 3*w - 29 = -5*k, 4*k + 60 - r = 3*w. Is w <= 13? True Let j be (3/2)/(6/(-40)). Let a(i) = -3*i**2 - 9*i - 10. Let f(l) = -7*l**2 - 17*l - 20. Let z(k) = 5*a(k) - 2*f(k). Let y be z(j). Which is greater: y or -4/3? y Suppose -4*m = -n + 98, -3*m = n - 5*n + 67. Does m = -24? False Let i = -1 - -1. Suppose n - 4*n + 4*y = -14, n + y = i. Are n and 1 nonequal? True Let x be (2 - 5/3)*6. Let y be 5 + x*(-3)/2. Is y at most 4? True Let d = 2 + -7/4. Is 0.022 greater than d
{ "pile_set_name": "DM Mathematics" }
s. -729482442*s*y**2 What is the second derivative of -39625147*y**4 - 3724*y + 1797? -475501764*y**2 What is the first derivative of -2119*z**4 + 5*z**3 - 641*z + 19106833? -8476*z**3 + 15*z**2 - 641 Find the second derivative of -4771764*m**2*u**2 - 37*m**2 + 2*m*u**2 - 2*m*u + 108*m - 530 wrt u. -9543528*m**2 + 4*m What is the second derivative of d**4 + 37271175*d**3 + d - 57638506? 12*d**2 + 223627050*d What is the first derivative of -50*a*r**2 - 120009*a*r - 3777*a - 773 wrt r? -100*a*r - 120009*a What is the derivative of t**2 - 13824713*t + 218470501? 2*t - 13824713 What is the second derivative of -782327547*q**4 + 73331498*q? -9387930564*q**2 Find the third derivative of -214587*t**6 - 7*t**2 - 786728 wrt t. -25750440*t**3 Find the first derivative of -2*g*p + 7*g*u + 2*g - 55*p*u**2 + 4614*p*u + 1037160 wrt u. 7*g - 110*p*u + 4614*p What is the third derivative of -9475715*s**3 - 1849601*s**2 wrt s? -56854290 What is the second derivative of 9791*r*v*y + 1057*r*v*z**2 + 290*r*v*z + 28*r*y*z**3 + 103*v*z**3 - 2*y*z wrt z? 2114*r*v + 168*r*y*z + 618*v*z Differentiate -209019148*p - 140973994 with respect to p. -209019148 What is the first derivative of 374959509*z + 547921231? 374959509 What is the first derivative of 115*k**4 - 155*k**3 + 29*k**2 - 4*k - 417458049 wrt k? 460*k**3 - 465*k**2 + 58*k - 4 What is the first derivative of 3*d*k**3*v - 1950346*d*v + 5*k**3 - 9*k**2*v + 12*k**2 - 569*k*v wrt d? 3*k**3*v - 1950346*v Find the first derivative of 8562219*b - 8034914 wrt b. 8562219 Find the third derivative of 389028664*l**4 + 452061*l**2 + 14. 9336687936*l Find the third derivative of 39356375*j**6 + 230673*j**2 + 6. 4722765000*j**3 Find the second derivative of 136782991*u**3 - u**2 - 474944743*u. 820697946*u - 2 What is the second derivative of -6*a**2*s**2 + 19*a**2*s - 23188*a**2 - 4247*a*s**2 + 13*a*s - 2*a + 3*s + 2 wrt a? -12*s**2 + 38*s - 46376 Find the second derivative of 27937445*b**3 + 109270075*b wrt b. 167624670*b What is the third derivative of 278065718*l*s**3 + 46*l*s**2 + 3*l*s + 2*l + 208*s**2 + 2*s - 26 wrt s? 1668394308*l Find the first derivative of 10431618*t - 1389304. 10431618 Find the third derivative of -12593853*c**2*d**3 + 2*c**2*d**2 + 48008*c*d**2 - 15*d wrt d. -75563118*c**2 What is the derivative of -1096388064*t**4*v**2 + 4*v**2 + 169*v + 85901 wrt t? -4385552256*t**3*v**2 Find the third derivative of 251*w**5 + 1795*w**4 - 2*w**3 + 3*w**2 + 14334846*w wrt w. 15060*w**2 + 43080*w - 12 Find the third derivative of -97498*l**5 - 2*l**4 + 30*l**3 - 96075397*l**2 wrt l. -5849880*l**2 - 48*l + 180 Differentiate 16*g**2*y + g**2 + g*y + 17928*g - 10777*y - 2298 with respect to g. 32*g*y + 2*g + y + 17928 What is the second derivative of -197746923*f**5 - 393741287*f? -3954938460*f**3 What is the second derivative of -2*k**2*o**4 + 1291936*k**2*o**3 - 13*k**2 - 7*k*o + 17*k - 5*o + 14 wrt o? -24*k**2*o**2 + 7751616*k**2*o Find the first derivative of 31784*g**3 - 7530*g**2 - g + 1511329805 wrt g. 95352*g**2 - 15060*g - 1 Differentiate 3400*r**3*w**2 - 2*r**3 - 103*r**2 + 5*r*w**2 + 20196*r - 93*w**2 wrt w. 6800*r**3*w + 10*r*w - 186*w What is the third derivative of -14898*n**6 - 859*n**5 - 41462722*n**2? -1787760*n**3 - 51540*n**2 Find the first derivative of -4938*l**3 - 2*l**2 + 55*l - 6071486 wrt l. -14814*l**2 - 4*l + 55 What is the third derivative of -163953025*s**5 + 2*s**4 - 23*s**2 + 1316156? -9837181500*s**2 + 48*s Find the second derivative of -28*f**2*n**2 + 962*f**2*n + 3439*f*n**3 - f*n - 3822*f - 2*n**3 wrt n. -56*f**2 + 20634*f*n - 12*n What is the second derivative of 123*g**3*o**3 + 33123*g**3*o**2 + g**2 - 15489*g*o**3 - 183*g - 2 wrt g? 738*g*o**3 + 198738*g*o**2 + 2 Find the second derivative of -37063705*a**2 - 26135349*a wrt a. -74127410 What is the second derivative of -3252431*j**4*y**2 - 2*j**4 - j*y**2 - j*y - 2552*y**2 + 81*y + 2 wrt j? -39029172*j**2*y**2 - 24*j**2 What is the third derivative of -16*h**6 + 9313*h**4 + 5370481*h**2? -1920*h**3 + 223512*h What is the third derivative of -224777*b**3*x**3 - 9*b**3*x + 14*b**2*x**3 - 60*b**2 + 9*b*x**3 - 928*b*x**2 - b - 5*x + 1 wrt x? -1348662*b**3 + 84*b**2 + 54*b What is the derivative of -13*f*y**2 + 4511343*f*y - 50262638*f wrt y? -26*f*y + 4511343*f What is the second derivative of -j**3*m**2 - j**3 + 2*j**2*m*p**2 + 11*j*m*p**2 + 135777746*m**2*p**2 + 1852830*m*p**2 wrt m? -2*j**3 + 271555492*p**2 What is the first derivative of 5852509*o + 19379340? 5852509 Find the third derivative of -411718033*q**5 - q**2 - 87*q + 14624. -24703081980*q**2 What is the third derivative of -81803777*r**3 - 1214371*r**2 + 2*r? -490822662 Find the third derivative of 2*f*o**3 - 5*f*o**2 + 5267*f*o - 126036104*o**4 + 97*o**2 - 2*o wrt o. 12*f - 3024866496*o Find the third derivative of 3465*x**6 - 21542*x**3 + 429187766*x**2. 415800*x**3 - 129252 Find the second derivative of 6951925*g**4 + 8*g + 702124 wrt g. 83423100*g**2 What is the third derivative of 863*g*j**3*k + 2*g*j**3 + 21689*g*j**2*k - 61*g*j**2 - 243*j**3*k - 10*k wrt j? 5178*g*k + 12*g - 1458*k Differentiate 363189690*t + 143676528. 363189690 What is the third derivative of -157459*f*h**3 + 1134*f + 292*h**3 - 66806*h**2 wrt h? -944754*f + 1752 What is the derivative of 2*d**2*k - 309023448*d**2 + 17079*d*k + 2429*k wrt k? 2*d**2 + 17079*d + 2429 What is the second derivative of 246*b**4 + 20020*b**2 + 2*b + 9724493 wrt b? 2952*b**2 + 40040 What is the second derivative of 13*q**2*s*t - 561*q**2*t - 61*q**2 + 29*q*s + 2*q*t + 2*q - 2*s*t - 5*s + 2*t wrt q? 26*s*t - 1122*t - 122 Find the second derivative of -72348*d**4 - 4*d**3 + 653*d**2 - 619*d - 631338 wrt d. -868176*d**2 - 24*d + 1306 What is the derivative of 783072601*v + 49544756 wrt v? 783072601 Find the third derivative of 82293585*y**6 + 110529204*y**2 wrt y. 9875230200*y**3 What is the derivative of -52658206*x - 3588709? -52658206 Find the third derivative of 1899*c**6 + 1060*c**4 + 11*c**2 - 16*c - 990 wrt c. 227880*c**3 + 25440*c Find the second derivative of 61865036*f**2*x - 18*f + 177514*x wrt f. 123730072*x Differentiate 16432938*b - 17113169 wrt b. 16432938 What is the second derivative of 1745161*y**4 - 24*y**3 + 9716634*y wrt y? 20941932*y**2 - 144*y Find the third derivative of 56*i**4*o**3 - 66557*i**3*o**3 - 184*i**2 + 32*o**3 + 6 wrt i. 1344*i*o**3 - 399342*o**3 Find the second derivative of -408825*h**2*q**2 - 3*h**2*q + 12*h**2 - 2*h*q**2 - 2418*h*q + 2*h + 2*q**2 - 6*q + 2 wrt q. -817650*h**2 - 4*h + 4 What is the second derivative of -28935436*c**2 + 133884306*c wrt c? -57870872 Find the third derivative of -35565103*y**3 + 15004253*y**2 wrt y. -213390618 Find the third derivative of -10049570*i**2*y**3 + 2*i**2*y**2 + 747814*i**2*y - i**2 wrt y. -60297420*i**2 What is the first derivative of 43*a**3 + 6681*a**2 + 22645154 wrt a? 129*a**2 + 13362*a Differentiate -3128*i**4 + 1109*i**2 - 5650358. -12512*i**3 + 2218*i Find the first derivative of 886403431*r**2 + r + 531155355. 1772806862*r + 1 What is the second derivative of 2*o**2*p**3 + o**2*p + 6*o**2 - 95682*o*p**3 + 3451*o*p + 6*o + 32*p**3 + 2*p - 1 wrt p? 12*o**2*p - 574092*o*p + 192*p What is the second derivative of y**5 - 15594329*y**2 - 164273337*y? 20*y**3 - 31188658 What is the third derivative of 4*f**6 + 49609305*f**4 + 2*f**3 + 31684*f**2 + 2918*f? 480*f**3 + 1190623320*f + 12 What is the derivative of 66*s**2 - 119390*s + 67500184? 132*s - 119390 Find the third derivative of -2355992*f**3 + 175226*f**2 + f - 2. -14135952 What is the first derivative of 3180011*a**4 + 7628917? 12720044*a**3 Find the third derivative of -25243967*c**4 + 37802*c**2 + 2*c - 2 wrt c. -605855208*c Differentiate -g*k*v + 2008246*g*k + g*v - k*v + 6950313*k - 4*v + 4 with respect to g. -k*v + 2008246*k + v Find the first derivative of 357*j*l*p - 1934*j*l + 3*j*p**2 + 2*l*p**2 - 70*l*p + 2*l + p**2 + p + 219 wrt j. 357*l*p - 1934*l + 3*p**2 What is the second derivative of 271*x**2*z**3 + 886*x**2*z**2 - 2*x**2 - x*z**2 + 2*x - 3*z**3 + z**2 - 217772*z wrt x? 542*z**3 + 1772*z**2 - 4 Differentiate -42117408*t**2 + 100115306 with respect to t. -84234816*t Find the second derivative of 203024*h**3 + 212*h**2 + 3*h - 26054518. 1218144*h + 424 Find
{ "pile_set_name": "DM Mathematics" }
+ 5. Let s be k(-4). List the prime factors of d(s). 5, 7 Suppose 3*f + 194 = -5*b, -b + 297 = 4*f - 8*f. Let l be -26*(0 + 33/(-6)). Let n = l + f. List the prime factors of n. 2, 5, 7 Let b(o) be the second derivative of o**4/12 + o**3/6 + 3*o**2/2 - o. Let w be ((-26)/13)/(0 - (-2)/(-3)). List the prime factors of b(w). 3, 5 Let y = -176 + 75. Let g = -71 - y. Let r = g - 14. What are the prime factors of r? 2 Let b(s) = 5*s - 11. Let j be b(3). Suppose -3*u = -j*v - 182, u - 6*u - v = -288. What are the prime factors of u? 2, 29 Suppose 19 - 34 = -5*l. Let q be (0 + 1)/(l/(-45)). Let j = -10 - q. List the prime factors of j. 5 Let q(b) = 6*b + 11. Let c be 14*-3*3/18. Let y be q(c). Let t = -18 - y. List the prime factors of t. 13 Let i = -892 - -1268. What are the prime factors of i? 2, 47 Suppose 44*v = 32*v + 36780. List the prime factors of v. 5, 613 Let t(u) = -8*u**3 - 6*u**2 + 4*u + 10. List the prime factors of t(-5). 2, 3, 5, 7 Suppose 2*k - 1865 = -4*n + 55, -5*k - 5*n = -4815. What are the prime factors of k? 2, 3, 7, 23 Let r(x) = x**2 + 6*x + 3. Let j be r(-6). Suppose -u = -5*s + j, 4*u + 3*s = -0*u - 35. Let y = 53 + u. List the prime factors of y. 3, 5 Let w = 626 - 447. Let c = -108 + w. What are the prime factors of c? 71 Let u(n) = 43*n - 8. List the prime factors of u(19). 809 Suppose -u + 6*u - 25 = 0, 0 = -3*m - 4*u + 32. Suppose -m*b = 3*j + 101, 54 = -b + 4*j + j. Let o = b + 45. What are the prime factors of o? 2 Let f = -1528 + 2603. List the prime factors of f. 5, 43 Suppose -63*q + 61*q - 20 = 0. Let n = q - -24. What are the prime factors of n? 2, 7 Let x(t) = -t**2 - 20*t - 17. What are the prime factors of x(-18)? 19 Suppose 0 = 4*l + 5*k - 6383, -2*l + 2*k + 3169 = -3*k. What are the prime factors of l? 2, 199 Let f(j) = -j**3 - 8*j**2 + 9*j - 9. Let x be f(-9). List the prime factors of 6/(-5)*(-34 - x). 2, 3, 5 Suppose 0 = 4*g - 8, -4*g + 8 = -0*s + s. Suppose -r + s = -22. Suppose 5*k = 28 + r. List the prime factors of k. 2, 5 Let j(d) = -7*d + 939. What are the prime factors of j(41)? 2, 163 Let t(i) = 43*i + 7. Let q = 95 - 91. List the prime factors of t(q). 179 Let p(l) be the third derivative of -l**6/120 + l**4/12 - l**3/2 + 6*l**2. Let b be p(-3). Suppose 5*k - 142 = b. What are the prime factors of k? 2 What are the prime factors of (-6)/(-9) + 41078/69? 2, 149 Let j = 59 - -184. Let q = -47 + j. List the prime factors of q. 2, 7 What are the prime factors of 1*((-5 - -975) + -3)? 967 What are the prime factors of -1*(8 + 1265*-1)? 3, 419 Suppose w + 2 = -2*k - 2, 0 = 2*w + 5*k + 10. Suppose 3*b + 8 = 2*r, -r + 2*r + b - 9 = w. List the prime factors of r. 7 Let v = 4 - 8. Let d(s) be the first derivative of -7*s**2/2 - 2*s + 30. List the prime factors of d(v). 2, 13 Let b(v) = 72*v**2 - 6*v + 43. What are the prime factors of b(-6)? 2671 Let l be (-2 - -8)*(-1)/(-2). Suppose 12 = 3*g + l. Suppose 2*r - 101 = -g*r - c, 12 = -3*c. What are the prime factors of r? 3, 7 List the prime factors of (-1)/2 - (-107675)/118. 2, 3, 19 Suppose -k - 2*k - 3*v + 60 = 0, -3*k + 3*v + 36 = 0. Let f be (-4)/(-3) - k/(-24). Suppose f*m = -t + m + 20, -t - 2*m + 15 = 0. List the prime factors of t. 5 Suppose 4 = 3*k - 5*x - 1, -5*k + 2*x = -2. Suppose 9*l - 2*l - 63 = k. What are the prime factors of l? 3 Suppose -13*w = -4*w - 4257. Suppose -w = -5*h - 4*p, -5*p = -5*h + 320 + 180. List the prime factors of h. 97 Suppose -2*q = -4*h - 8, 0*q - 3*q + 12 = 0. Suppose h = -0*p - 3*p + 237. What are the prime factors of p? 79 Suppose 0 = 6*l + 806 + 226. Let n(h) = h**2 + h - 4. Let u be n(-5). List the prime factors of ((-8)/u)/(2/l). 43 Let t = -36 - -40. Suppose 5*z - t*c + 2*c = 535, 5*z + c = 520. What are the prime factors of z? 3, 5, 7 Let f(c) = -c. Let d(s) = 3*s - 5. Let o(b) = -d(b) - 2*f(b). Let z(q) = 2*q**2 - 5*q - 4. Let v be z(-1). List the prime factors of o(v). 2 Let n(d) = -14*d**3 - 1. Let i be n(-1). Suppose -2*a - 2*a = -4*o - 16, 47 = 3*a + 4*o. Let w = i + a. List the prime factors of w. 2, 11 Let t be (-7 - -9) + 158/2. Let x = -2 + t. Let n = -23 + x. List the prime factors of n. 2, 7 Let w(i) = -10*i**3 - 8*i**2 - 23*i + 9. What are the prime factors of w(-4)? 613 Let a = -12 - -18. Let i be a*-1*2/(-4). Suppose 2*v + 83 = 5*w - 32, 0 = 4*w - i*v - 85. List the prime factors of w. 5 Let a(r) = -10*r - 10. Let k(i) = -i - 1. Let o(z) = -2*a(z) + 18*k(z). Suppose m + 31 = 4*m + 4*p, -5*p = -20. What are the prime factors of o(m)? 2, 3 Let p(y) = 24*y**3 - 2*y**2 + 3*y - 13. What are the prime factors of p(4)? 3, 167 Let s(k) be the second derivative of 9/2*k**2 - 3*k + 2/3*k**4 - 1/20*k**5 - 4/3*k**3 + 0. What are the prime factors of s(7)? 2 Let r(j) = -5*j + 11. Let d be r(2). List the prime factors of (6/4 - 1)*(d + 27). 2, 7 Let p = -280 + 470. List the prime factors of p. 2, 5, 19 Suppose -3*n + j = -56, 21 = 5*n - 2*j - 72. Let o be (-28)/10*(n + -39). List the prime factors of (-142)/(-14) + (-8)/o. 2, 5 Suppose 27*x - 37222 + 14785 = 0. What are the prime factors of x? 3, 277 Let z(t) = 4*t - 14. Let p = -89 + 159. Let w be (p/(-4))/(-7)*2. List the prime factors of z(w). 2, 3 Let z(x) = -79*x - 10. List the prime factors of z(-10). 2, 3, 5, 13 Suppose -g + 209 = 2*f, 0 = 3*f + g + 2*g - 318. Let x = 188 - f. What are the prime factors of x? 5, 17 What are the prime factors of 2918/18 - -7*4/(-252)? 2, 3 Let s be ((-4)/(-3))/(10/15). Let x be s/4 - (-45)/10. Suppose x*o - 12 = y + 42, 46 = 4*o + 2*y. List the prime factors of o. 11 Let n = -20 + 28. List the prime factors of (-5)/((-50)/n)*(-2180)/(-8). 2, 109 Let y(a) = 4*a**2 + 5*a - 11. Let b(v) = -5*v**2 - 4*v + 12. Let m(j) = 6*b(j) + 7*y(j). Let t be m(8). What are the prime factors of 40/(-15)*t/6? 2, 5 List the prime factors of 42*2/12 - -401. 2, 3, 17 Let f(o) = -12*o - 29. Let d be f(16). Let i = 84 - d. What are the prime factors of i? 5, 61 Suppose 5*w - 5*z - 5420 = 0, 3*z = -8*w + 13*w - 5428. What are the prime factors of w? 2, 17 Let o(l) = l**2 - 8*l + 1. Let w be o(7). Let z(x) = -2*x - 9. Let u be z(w). Suppose -2*j = -u*r + 2*r - 144, 0 = j - r - 73. List the prime factors of j. 71 Suppose 2187 = 39*a - 31041. List the prime factors of a. 2, 3, 71 Suppose -15*d + 1795 = -5945. What are the prime factors of d? 2, 3, 43 Suppose w + 4323 = 4*m - 1955, -3*m + 4*w = -4702. List the prime factors of m. 2, 5, 157 Suppose 80 = l + 26. Let w be (-3)/2*(-144)/l. Suppose -w*c - 8 = 0, a - 6*c - 48 = -2*c. What are the prime factors of a? 2, 5 Suppose -8*p - 14*p = -17996. List the prime factors of p. 2, 409 Suppose -2*f - 124 - 236 = -5*n, 4*f = -2*n + 120. List the prime factors of n. 2, 5, 7 Suppose -5*y + 7*y - 4 = 0. Suppose -2*r + 30 = y*g, 0 = 3*g - 6*r + 3*r - 33. Suppose 0 - g = -q. What are the prime factors of q? 13 Suppose 0 = 5*b - 2*k - 299, -4*b + 2*b - 5*k = -137. Let n(a) = a**2 + 15*a + 1. Let r be n(-12). Let u = b + r. What are the prime factors of u? 2, 13 Let b(k) be the first derivative of 3/2*k**2 - 2*k**3 - 9*k - 1/4*k**4 - 4. List the prime factors of b(-7). 19 Suppose 6*j - 12 = 9*j, 0 = -5*q - j + 2166. Suppose 62 = 4*g - q. List the prime factors of g. 2, 31 Suppose -463*n = -465*n + 6860. List the prime factors of n. 2, 5, 7 Let j(a) = -79*a**3 - a**2 - a + 1. Let g be 2/10 + 6/(-5). What are the prime factors of j(g)? 2, 5 Let l = 120 - -319. What are the prime factors of l? 439 Suppose -9*b + 4*i - 750 = -14*b, b + 2*i - 144 = 0. What are the prime factors of b? 2, 7, 11 Suppose 114*g - 96*g = 96966. What are the prime factors of g? 5387 Let s be (-15)/35 - (-260)/(-14). Let f = 35 + s. List the prime factors of (-16 - 0)*(-52)/f. 2, 13 Let x(w) = w - 10. Let q be x(6). Let p(f) = -27*f - 12. What are the prime factors of p(q)? 2, 3 Let k be (-4)/14 + 456/28. Suppose -82 = -y - k. Suppose 5*z + 26 - y = 0. What are the prime factors of z? 2 Let w(p) = -352*p - 457. What are the prime factors of w(-9)? 2711 Let l be 2/10 + (-82)/10. Let r be (-117)/4 - (-6)/l. List the prime factors of 3*-1*230/r. 23 Suppose -3*i = -5*v + 15, -8*v + 3*v + 2*i = -20. Suppose -v*j = -75 - 867. List the prime factors of j. 157 Suppose -219 = 2*i - 5*i. Suppose -2*t - 3*l + 13 + i = 0, -5*t + 261 = -4*l. List th
{ "pile_set_name": "DM Mathematics" }
0 -2 times -168741 337482 Calculate -5.7*1407. -8019.9 What is -0.04252 times -75? 3.189 -13500 times -0.8 10800 Product of -1 and -83.06. 83.06 What is the product of -122 and -0.7646? 93.2812 18074 times 3 54222 Multiply -4 and 7.5924. -30.3696 What is the product of 0.4 and 110802? 44320.8 Work out 1647958 * -0.06. -98877.48 Calculate 61835*0.11. 6801.85 Calculate 0.31*8113. 2515.03 5*-16896 -84480 Product of -5 and -3394. 16970 93.2*-3.4 -316.88 Calculate -3*8871. -26613 What is the product of -1 and -33.477? 33.477 What is the product of -6.7 and -0.282? 1.8894 -128*7792 -997376 What is the product of 189 and -559.1? -105669.9 What is 13940 times -0.5? -6970 -386*-0.2 77.2 Work out 56332 * -1. -56332 Work out 566.6 * -0.08. -45.328 79*-809 -63911 0.01 * -3.7429 -0.037429 Product of -1567 and 0.24. -376.08 -2 * 115454 -230908 Work out 322 * 0.23. 74.06 -0.123137 times 27 -3.324699 44.072 * 0.1 4.4072 -98*0.047254 -4.630892 What is 0.067 times 0.02549? 0.00170783 3.3 * 59 194.7 Work out 0.1 * -48358. -4835.8 -1502 * 12 -18024 2.1 * 10050 21105 -812*0.094 -76.328 0*4532.78 0 Multiply 209.3 and -23. -4813.9 Multiply -169 and 2808. -474552 What is -1.38157 times -32? 44.21024 What is 3 times -18873? -56619 Work out -0.0017 * -6. 0.0102 0.01264 * 64.8 0.819072 Multiply -28994 and 0.08. -2319.52 Calculate 46.5*-934. -43431 Calculate -0.2137*-0.1. 0.02137 What is 1.6572 times -1.47? -2.436084 What is -15223.19 times -1? 15223.19 Multiply -201.12 and -2.1. 422.352 Work out 0.2 * 0.06201. 0.012402 -0.2 times -1.392 0.2784 -2 * -9287 18574 What is the product of 3 and -220.97? -662.91 Product of -3 and 1.5736. -4.7208 What is -0.033 times -0.65822? 0.02172126 Multiply 22 and 0.7585. 16.687 What is -0.2 times 0.2915? -0.0583 Calculate 0.1*-74934. -7493.4 -0.06 * -0.0256 0.001536 359.6286 times -0.2 -71.92572 Multiply -0.039 and 0.282. -0.010998 What is -1 times 256107? -256107 1157411 * 2 2314822 -2 times 10158 -20316 5246.528*0.3 1573.9584 -10930*0.09 -983.7 Work out -5 * -55784. 278920 Work out 0.13 * 4.0088. 0.521144 Calculate 1.83*-0.7. -1.281 Calculate -41.7*4.6. -191.82 What is the product of 80 and -1108? -88640 Multiply -53 and 8.88. -470.64 Product of 117 and 2.41. 281.97 What is the product of -0.80137 and -1.3? 1.041781 What is the product of 0.016 and 179? 2.864 -13.7 * 14.209 -194.6633 What is 46.32 times -0.161? -7.45752 554 times -2700 -1495800 0 times -19087 0 Multiply -726.65 and -0.5. 363.325 Product of -3702 and 0. 0 0.038*-2557 -97.166 Work out 4.04653 * -0.6. -2.427918 Multiply -13368.83 and -5. 66844.15 What is 171 times 586? 100206 176.9*0.002 0.3538 Calculate 27*9954. 268758 -3 times -8585 25755 What is the product of 256.7 and 21? 5390.7 What is the product of -2444 and -2? 4888 Multiply 495528 and 4. 1982112 -0.37 * -544 201.28 0*3.4113 0 What is the product of -73 and 127? -9271 3.925 * -1 -3.925 Multiply 93.01 and -25. -2325.25 What is 177341 times -1? -177341 Product of 1.631756 and 0.1. 0.1631756 3.7037 times -5.8 -21.48146 Multiply 3 and -0.3086. -0.9258 5.9*1624 9581.6 Calculate 2826*-0.07. -197.82 -0.2 times 372284 -74456.8 Calculate -2*-217921. 435842 0.44 * 1307 575.08 What is -413527 times 0.5? -206763.5 Multiply -64176 and -1. 64176 Product of -109315 and -12. 1311780 0.3 times 297.37 89.211 What is 0.002 times 0.037666? 0.000075332 2 * 23.28 46.56 Work out 31216 * -0.2. -6243.2 -5 * 0.11571 -0.57855 0.02639 times 2 0.05278 Calculate -85*2023. -171955 -4.39517 * 0.1 -0.439517 3174*-12 -38088 What is -1.2 times 174? -208.8 Calculate -1.8*6067. -10920.6 Work out 457 * 3902. 1783214 -4*16709 -66836 Product of -13 and 2.84. -36.92 What is the product of -5.02 and 58.3? -292.666 Calculate -92*533. -49036 What is the product of -13 and -19079? 248027 What is the product of -1.1 and 8.66? -9.526 1 * 0.11203 0.11203 52 times -135 -7020 Work out 30 * -33834. -1015020 Calculate 14*-0.06548. -0.91672 Work out 2 * -106727. -213454 -0.0602 * 10 -0.602 1.22*-4 -4.88 Calculate 6938*-1.8. -12488.4 Multiply -0.77472 and 0.2. -0.154944 Work out 69 * -453. -31257 What is the product of -3.01445 and 0.5? -1.507225 4 times 187619 750476 Work out -0.06 * 4765. -285.9 What is the product of 1687.7 and -0.88? -1485.176 -1301 * -54 70254 Multiply 63 and 26.02. 1639.26 Product of 8.5 and 0.263. 2.2355 Multiply 27968 and 27. 755136 Multiply -0.0262944 and 0.4. -0.01051776 What is the product of 1 and -1252? -1252 What is the product of 23 and -131? -3013 -41 times -4183 171503 249*-29.6 -7370.4 -0.098 times 15.43 -1.51214 What is the product of -1 and -378046? 378046 -1016 * -65.6 66649.6 2466 times -86 -212076 What is the product of -21947 and 0.06? -1316.82 What is the product of 29740 and 0.1? 2974 Work out -194936 * -0.27. 52632.72 Multiply -15 and 4362. -65430 1.7 times -5283 -8981.1 -12908.7*5 -64543.5 Product of 2281.6 and 4. 9126.4 Multiply 1128574 and -0.5. -564287 Multiply -779 and 0.079. -61.541 Calculate 174.1*52. 9053.2 Work out -2789 * -0.019. 52.991 -426223 * -0.2 85244.6 -2 times 126996 -253992 Calculate 0.58*-6.26. -3.6308 Work out -100290 * -14. 1404060 Work out -56419 * -1.1. 62060.9 82295*0.3 24688.5 1155 times -5506 -6359430 Calculate 57741*-1. -57741 0.4*78311 31324.4 Multiply 0.4 and -4.35827. -1.743308 Multiply -640 and -339. 216960 Product of -42.22 and 0.04. -1.6888 What is -0.321 times -12087? 3879.927 What is 13 times 0.12488? 1.62344 Multiply -3.6 and 59. -212.4 Multiply -0.992 and 144. -142.848 Multiply -0.80711 and -0.2. 0.161422 What is 3 times 37813.5? 113440.5 Multiply 43 and 11985.4. 515372.2 Work out 2.46914 * -0.05. -0.123457 28.8 times 5135 147888 -95.4 times 516 -49226.4 3.13*-44.1 -138.033 -11.01142*0.03 -0.3303426 Work out -0.2 * -16.536. 3.3072 Product of 50 and 1613. 80650 -2.6 * 69.9 -181.74 697892*0.4 279156.8 Multiply 52 and -179.17. -9316.84 Product of -1395.2 and 0.026. -36.2752 Product of 162 and 2731. 442422 Product of 0.047677 and 0.08. 0.00381416 Product of 0.33244 and -1. -0.33244 0.1 * -5530 -553 Calculate 0.0539*0.051. 0.0027489 -0.3*-12.889 3.8667 -1 times 74080 -74080 Calculate -0.3*20239. -6071.7 Work out -0.1438 * -0.0516. 0.00742008 Work out 2 * -20447.5. -40895 Multiply -0.134125 and 0.5. -0.0670625 -53 times -44255 2345515 What is the product of 0.0334 and -621? -20.7414 -27*-3278 88506 2917*-96 -280032 Product of -77342 and -0.4. 30936.8 What is the product of 44 and 89992? 3959648 -0.01 * -46555 465.55 What is the product of 5 and -12746? -63730 What is 7953.4 times -2? -15906.8 0*-59696 0 What is the product of 3.3585 and -0.5? -1.67925 -557 * -167 93019 Multiply -13354 and 5. -66770 16 times 102895 1646320 -10.23568 times 0.4 -4.094272 Calculate 0.0686*-111.5. -7.6489 Multiply -0.06237 and -0.1. 0.006237 Product of -0.058 and -91. 5.278 Calculate 0.114146*-0.3. -0.0342438 Product of -15.5 and -0.1047. 1.62285 -638.9 * 3 -1916.7 What is 0.1 times 0.1333732? 0.01333732 Work out -118 * -3.85. 454.3 -0.5*-0.7889 0.39445 Multiply 0.046 and -397. -18.262 Calculate 3254.5*-0.08. -260.36 Multiply 0.374711 and 0.1. 0.0374711 What is the product of -0.2 and 528160? -105632 Product of 83.071 and 6. 498.426 Work out -0.09 * -550127. 49511.43 0.06*-67247 -4034.82 What is -1047.68 times 3? -3143.04 Work out 0.08 * -3919. -313.52 Work out -0.1785618 * 2. -0.3571236 4484 * -55 -246620 Product of 5 and -13511. -67555 178*5.1 907.8 What is the product of 0.2 and -144089? -28817.8 Calculate 5*11037. 55185 Calculate 418751*0.5. 209375.5 141 times -354 -49914 Multiply -56032 and 0. 0 Multiply -3171 and -0.144. 456.624 1068.86*-0.1 -106.886 Multiply -39.55 and -48.6. 1922.13 What is the product of -0.753 and 158? -118.974 21.3306*-0.4 -8.53224 -0.03499*0.4 -0.013996 What is 3646 times -0.05? -182.3 Calculate 5*2448. 12240 What is -1 times 19.904? -19.904 Multiply 3 and -0.268. -0.804 -2173512*-0.3 652053.6 Work out 3 * -0.3069. -0.9207 Multiply -146.15 and 6. -876.9 Work out 2.051 * 0.1. 0.2051 -2 * 24807 -49614 Work out 6 * 15448. 92688 Product of 0.103 and 44172. 4549.716 Work out 3 * -144.28. -432.84 0.194704*-4 -0.778816 Multiply -0.368 and 0.101. -0.037168 Work out -43233 * -0.5. 21616.5 18 times 0.823 14.814 Product of -0.89 and 5153. -4586.17 Multiply -3767 and 54. -203418 Calculate -
{ "pile_set_name": "DM Mathematics" }
4 Solve h + 21 = 4*b, -4*h + 19*b - 22*b - 8 = 0 for h. -5 Solve -5*u - 9 = 2*s, -5 = 6*u - 9*u + 4*s for u. -1 Solve 20*o = 4*x + 13*o + 35, 10 = 2*o for x. 0 Solve 2*j - 5 + 11 = -3*i, -8 = 4*j + 5*i for j. 3 Solve 0 = -3*f + s - 9, 8*f + 2*s = 3*f - 15 for f. -3 Solve -4*f - 27*i + 28*i - 5 = 0, 6 = -2*i for f. -2 Solve -2*d + 4*g - 55 = -69, 0 = 4*d - 4*g - 16 for d. 1 Solve -7*v + 6 = -5*v + j, -5*v - j = -18 for v. 4 Solve -2*q + 23 = -3*f, 5*f = -6*q + 5*q - 21 for q. 4 Solve -15 = 3*x + 3*i, -44 + 62 = -3*x - 4*i for x. -2 Solve 3*t = -o + 9, 10*t - 11*t - 4*o = -14 for t. 2 Solve 3*f + 3*h = 0, 0 = -f - 9*h + 13*h - 20 for f. -4 Solve -2*q - 4*n = -10, 2*q - 2*n - 2 = 2 for q. 3 Solve -4*f - 4 = 3*s, 0 = -5*f - s + 2 - 18 for f. -4 Solve 0 = -2*u - 40*b + 37*b + 18, -u = -5*b + 43 for u. -3 Solve -3*l + 8 = o - 0, 0 = -3*l + 3*o + 24 for l. 4 Solve 0 = -c + 5*v - 30, -v = 2*c - 12 + 17 for c. -5 Solve -p + 3*c - 27 = -5*p, -3*c + 24 = 3*p for p. 3 Solve -d = 2*b - 1, -4*d - 2 = -2*b - 6*d for b. 0 Solve 4*y - 28 = 122*j - 118*j, -y - 8 = 2*j for j. -5 Solve -30*d + 33*d = -3*a - 9, 13 = -3*a + d for a. -4 Solve 4*o - 19 - 9 = 4*d, -5*d - 5 = o for d. -2 Solve -3*v + 5*u - 17 = 0, 5*v + 3*u - 8*u = -15 for v. 1 Solve 117 - 121 = -w + 5*i, -4*w + 3*i - 1 = 0 for w. -1 Solve 2*t - 8 = -r, 13*t - 11*t - 5*r = -4 for t. 3 Solve -5*b + 5 = -p, -5*b + p - 5 = 2*p for b. 0 Solve 39*w - 1 = 34*w + 4*k, 5 = w + 4*k for w. 1 Solve 5*a + 4*i + 34 = 0, -9 = 2*a + 16*i - 19*i for a. -6 Solve 18*f = 17*f + 3*w - 27, 0 = -f - w + 9 for f. 0 Solve 0 = y - 3*z + 6*z + 15, z = -4 for y. -3 Solve -7*i = -3*i, 2*i + i = -g + 1 for g. 1 Solve 4*g = u - 0 + 1, 4*u - 3*g + 4 = 0 for u. -1 Solve -2*a + 5*g - 15 - 7 = 0, 3*g = -3*a + 9 for a. -1 Solve -2*h - c + 15 - 20 = 0, 0 = 3*c + 9 for h. -1 Solve -10 = -3*o - 2*b, 3*o - 7*o + 3*b = -19 for o. 4 Solve 11*s = 7*s + 3*a - 35, -5*s = 3*a + 10 for s. -5 Solve -2*z + 3 = -g, -2*z + 3 = 3*g - 4 for g. 1 Solve 4*i - 22*v - 26 = -19*v, -2*i + 20 = -5*v for i. 5 Solve 3*w = 5*g + 23, -g + 12*w - 10*w = 6 for g. -4 Solve 5*a + 5 = -5*g, -g = 2*g + 6 for a. 1 Solve 4*k - 4*q + 7*q = -6, k + 3*q = 3 for k. -3 Solve -s = -3*r - 2, 2 - 5 = 3*r for s. -1 Solve 2*g + 4*v - 24 = -2*g, 0 = -3*g + 4*v - 3 for g. 3 Solve 4*q - v - 18 = 0, -3*q + 4*v = -0*q - 20 for q. 4 Solve 22 = -g - 3*q, -5*g + 2*q - 2 = 6 for g. -4 Solve -3 = -d - 2*g, 5*d + 0*d - 4*g - 1 = 0 for d. 1 Solve -b + 22 = 5*s, s + 0*s = 4 for b. 2 Solve -2*c = -3*y - 5, 5*c - 22 = 5*y - 7*y for y. 1 Solve -2*q + i + 9 = -0*q, -2*i - 3 = -q for q. 5 Solve 18 = m + 2*m + 2*w, 5*w = -2*m + 23 for m. 4 Solve -5*i + 7 = 3*w, 0 = 3*w + 3 for i. 2 Solve -2*f - 2 = 22*r - 24*r, 3*r = -3*f - 21 for f. -4 Solve 5*f = -3*k - 22, f - 2*k - 6 = -0 for f. -2 Solve 2*h = -n - 9, 0 = -3*n - 0 - 3 for h. -4 Solve 5*h - 2*j = -10, 2*h + 15*j + 4 = 10*j for h. -2 Solve 4*j - 16 = 4*n, -3*n - 3*j + 5 = n for n. -1 Solve f - 4*p - 18 = 1, f + 5*p = -26 for f. -1 Solve -v - 2*y - 10 = 0, -22 = -4*v + 3*y - 18 for v. -2 Solve -2*j - 1 = -x, 2*j + 14*x - 12*x - 14 = 0 for j. 2 Solve 21*s + 13 = -5*r + 17*s, 3*r + 7 = -2*s for r. -1 Solve 3*u - 11 = c, -3*u - 7 = -c - 6*u for c. -2 Solve -3*k + 3*f + 3 = 0, -3*k + 4 = -7*k + 8*f for k. 3 Solve 40*v = -6*b + 38*v + 16, -4*v = -4*b + 16 for b. 3 Solve 2*k = -3*r + 6*k - 11, -5*r + k - 24 = 0 for r. -5 Solve -3*p - 5*k - 10 = -0*k, -k = 5*p + 24 for p. -5 Solve -5*r + 19 = -2*u + 4, 0 = -5*u - 2*r - 23 for u. -5 Solve 0 = -4*n + 5*q - 28, n + 67 - 53 = 3*q for n. -2 Solve -4*n - 26 = -5*g, -3*n + 5*g = -0*n + 22 for n. -4 Solve -3*g - 11 = -2*v + 3*v, -5*g = -v + 29 for g. -5 Solve -2*i - 5*c + 3 = 0, 6 - 7 = 3*i + 2*c for i. -1 Solve -4*a + 8 = -4*w, 4*a + w + 0*w + 17 = 0 for a. -3 Solve -3*n + 5*n = 5*l + 16, n - 10 = 3*l for n. -2 Solve 2*d - 6 + 19 = 3*h, 5*d = 5*h - 30 for h. 1 Solve 3*g - 3 - 1 = -5*b, -4*g - 3*b = -9 for g. 3 Solve -2*o = -3*b + 17, -2*b + 22*o = 25*o + 6 for b. 3 Solve 2*i + 2*i = 16, i - 4 = -4*c for c. 0 Solve -4*y - 4 = 4*z, 3*z - 2*y = -4 - 4 for z. -2 Solve y + 5*g + 3 = -2*y, -2*g = 5*y - 14 for y. 4 Solve 5*w = y - 21, 2*w + 3 = 3*y - 8 for w. -4 Solve 0 = -p + u - 3, 0 = 4*p - 0*u + u + 22 for p. -5 Solve 2*f - 30 = -4*d, -4*d = -6*d + 2*f for d. 5 Solve c + 18 = -8*y + 5*y, 5*c = 2*y - 5 for y. -5 Solve -14*y = 4*n - 11*y - 19, -2*n + y = 3 for n. 1 Solve 2*i - 4*q - 28 = 0, 2*i + q = -i for i. 2 Solve -k - 12 = 4*d, 3*d - 6 = -3*k + 5*d for k. 0 Solve 0*h - 8 = 3*k + h, k + 4*h - 1 = 0 for k. -3 Solve 0*v - 3*x = v - 5, 3*x = -2*v + 1 for v. -4 Solve 4*i + 16 = 0, i + 0 = -5*p + 16 for p. 4 Solve 5*j + 29*i - 30*i = 1, 10 = -2*j + 3*i for j. 1 Solve 0 = -u - 4*t + 6, -3*t + 6*t = 0 for u. 6 Solve 5*i = 5*h + 25, 0*h - 5*h - 4*i - 25 = 0 for h. -5 Solve -5*q + 4*d - 13 = -38, q = -2*d + 5 for q. 5 Solve -4*v - 66 = 2*q - 80, -5*v + q = 0 for v. 1 Solve -6 = -5*t - 4*m, 2*t + 2*m = 3*t - 4 for t. 2 Solve 2*q + 6 = -2*w, -2*q = -6*w + 3*w + 1 for w. -1 Solve 4*n + q - 30 = 0, 5*q + 8 = 2*n - 18 for n. 8 Solve -h - 5 = s, -16*s = -10*s - h - 5 for s. 0 Solve 2*k + 3*k = 3*v - 11, 5*v = -4*k + 6 for k. -1 Solve 8*p + 5*l + 6 = 12*p, 5*p - 5*l - 5 = 0 for p. -1 Solve a - 5*v = 10, a - 2*a + 8 = -4*v for a. 0 Solve 8 = -125*z + 127*z + 2*v, 0 = -5*z + 2*v - 8 for z. 0 Solve -87*c + 84*c + 41 = -4*s, 3*c + 23 = -4*s for c. 3 Solve 3*z + 0*v + 5*v - 3 = 0, -z + 3*v = 13 for z. -4 Solve -9*g + f - 11 = -12*g, -4*g - 4*f = -28 for g. 2 Solve 4*k + 14 = -a, 3*a + 3*k + 0 = -15 for a. -2 Solve -3*l = 2*p - 3, -16*p + 17*p - 2*l - 5 = 0 for p. 3 Solve -2*j - 1 = -2*m + 5, 2 = m - 2*j for m. 4 Solve -3*w - 29 = -5*l - 0*w, 2*w = 3*l - 18 for l. 4 Solve -4*r = p + p - 10, 0 = -5*r + 20 for p. -3 Solve -h = 3*b - 15, -2*b - b + 2*h = -6 for b. 4 Solve 3*b - 8*o + 7 = -10*o, -4*o = -5*b + 25 for b. 1 Solve 9 = 2*w - l, 2*w - 30 = -3*w + 5*l for w. 3 Solve 45 = 3*l - 3*q + 54, 0 = 2*q + 2 for l. -4 Solve 4*d + 5*r + 12 + 11 = 0, 0 = 4*d - 4*r - 4 for d. -2 Solve 10*y = -2*m + 34 + 8, 0 = 5*y + 4*m - 9 for y. 5 Solve -8*l + 5*l - 15 = 0, 4*l = -5*d - 30 for d. -2 Solve -q = 4*q - 5*y, 30 = 2*q + 4*y for q. 5 Solve q + q - 27 = 5*g, g + 2 = -3*q for g. -5 Solve -2*o - 5 = a, -4*o + 0*a + 5 = -3*a for o. -1 Solve 12*o = 17*o + 5*l - 15, 3*o = 4*l + 16 for o. 4 Solve 0 = 2*i + v - 1, -5*i = -v - 0*v + 1 for i. 0 Solve 0 = 3*y - 13*j + 11*j + 1, -3*y - 2*j = -7 for y. 1 Solve -5*o - 4*c = -5 + 13, -o - 19 = -5*c for o. -4 Solve 3*z - k - 1 = 0, -4*k - 7 = -z - 2*k for z. -1 Solve 560*y + 2*d - 13 = 561*y, 3*d - 2 = -2*y for y. -5 Solve -3*f - 5*c = 20, -4*f + 5*c = 14 + 1 for f. -5 Solve -2*x = 5*o - x - 15, -13 = -2*o + x for o. 4 Solve -3*f - 2*f = -j + 19, 4*j + 2*f - 10 = 0 for j. 4 Solve 0 = -s - 5*n + 13, -5*s - 6*n = -n - 5 for s. -2 Solve -2*r - g = -11, -11*g = 2*r - 9*g - 14 for r. 4 Solve -4*j + f = 4*f - 2, 0 = -3*j - 3*f for j. 2 Solve 7*s = 6*s + 4*i + 10, 2*i = 4*s - 12 for s. 2 Solve 7 = 2*c - 3*c - 2*i, 4*c - 2*i = 12 for c. 1 Solve 3*v + 4*z = 8, z + z - 6 = -2*v for v. 4 Solve 5*u - 3*s = 6, -2 = 60*u - 59*u + s for u. 0 Solve 9 = 5*t - 3*c, 3*c - 5 - 16 = -5*t for t. 3 Solve d - 4*t + 13 = -2*d, -d + 3*t - 11 = 0 for d. 1 Solve -2*q - q = -2*b + 8, 3*q = 5*b - 2 for b. -2 Solve 3*y + 21 = 2*r, 0 = -3*y - r - 55 + 52 for y. -3 Solve -2*o - 7 = b, -126*b - 12 = 3*o - 123*b for o. -3 Solve 4*w + 12 = -5*t, 5*t - 6 = -2*w + 4*w for w. -3 Solve -c - 9 = -2*w, 7 = 4*w + 4*c - 5 for w. 4 Solve -2*g - 2 = 4*u, -13*u - 13 = -11*u - 3*g for u. -2 Solve 4*n = 2*n, 0 = -f + 4*n - 5 for f. -5 Solve -5*c - 10 = -5*d, -2*c - 15*d + 6 = -12*d for c. 0 Solve 10 = -2*s, 20*i = 22*i + 3*s + 19 for i. -2 Solve 3*b + 5*x - 2 = -17, -3*b - 9 = 3*x for b. 0 Solve -3*y - 25 = 2*q, 2 - 12 = -2*q + 4*y for q. -5 Solve 6 = -n + 2*z, 3*z = -z + 16 for n. 2 Solve -4 = f - r, 7*f - 5*f = -3*r - 13 for f. -5 Solve 4*r = 8*r + a - 15, 4*r + 2*a - 18 = 0 for r. 3 Solve 4*f = 7*f - 2*q + 6, 0 = -f + 2*q - 6 for f. 0 Solve 5*m = -5*l + 35, 2*m + 44 = 52 for l. 3 Solve d = -2*w + 1, w - d = -2*w - 1 for w. 0 Solve 65 = -5*x - 3*i + 79, -1 = 5*x - 2*i for x. 1 Solve 0*u = -d + 3*u - 5, 4*d = 2*u + 10 for d. 4 Solve 19*u = 24*u + 5, -4*
{ "pile_set_name": "DM Mathematics" }
. 7 Let q(d) be the third derivative of -d**5/60 - d**4/4 - d**3/2 - 5*d**2 - 2*d. Calculate q(-5). 2 Suppose -b + 4 - 5 = 0. Let k(y) = -3*y**2 + 1. Give k(b). -2 Let x(o) = 2*o**2 - 3*o + 1. Suppose 4*i + 12 = -0*i + 4*s, -4*s = -20. Calculate x(i). 3 Let y(h) = 14*h**2 - h. Let x be (2 - 0) + (2 - 3). Calculate y(x). 13 Let f(x) = -x**3 - 1 + 1 + x + 2*x - 3. What is f(2)? -5 Suppose 3*r - 4*r = -s + 9, 0 = 4*s - 3*r - 33. Let x(t) = t**3 - 7*t**2 + 6*t - 5. Give x(s). -5 Let l(g) be the third derivative of 0 + 0*g - 1/360*g**6 + g**2 + 1/24*g**5 + 1/4*g**4 + 1/2*g**3. Let h(s) be the first derivative of l(s). What is h(5)? 6 Let a(k) = 5*k. Let s(d) = d + 2. Let t(c) = -c**2 + c - 1. Let g be t(0). Let f be s(g). Calculate a(f). 5 Suppose -2*q + h = 2*h + 24, 5*q + 47 = 4*h. Let s(g) = -g**3 - 10*g**2 + 11*g + 9. Determine s(q). 9 Let z(h) = -8*h**3 + 6*h**2 + 3*h - 9. Let g(w) = 7*w**3 - 6*w**2 - 3*w + 9. Let f(b) = -7*g(b) - 6*z(b). Let u = -1 + 7. Give f(u). 9 Let u(m) = -3*m**2 - 2*m + 2. Let g = 10 + -5. Suppose g + 0 = -5*a, -9 = 2*y + 5*a. Determine u(y). -6 Suppose -1 = -4*w - 5*v + 2*v, 2*v - 16 = 5*w. Let i(q) be the third derivative of -q**4/24 - q**3/3 + q**2. Give i(w). 0 Let h(t) = 2*t**2 - 6*t. Let a(m) = m - 13. Let c(o) = 1. Let v(k) = -a(k) - 4*c(k). Let f be v(5). Give h(f). 8 Let h(f) be the first derivative of -f**4/4 + 2*f**3 + f**2 - 2*f - 31. Calculate h(6). 10 Let x = -27 - -48. Suppose m = -1 - 4, s - x = 5*m. Let z(a) = 0*a - 3*a - 4 - 2. Give z(s). 6 Let y = -1 - -1. Suppose y = 4*v + v + 25. Let s(m) be the third derivative of -m**6/120 - m**5/10 - 5*m**4/24 - 5*m**3/6 - 10*m**2. Give s(v). -5 Let a(n) = 2*n + n**3 - 1 + 2*n**3 - n**3 - 2*n**2 + 5*n**3. Suppose -9 = -4*m + 5*r, 3*r + r + 6 = 2*m. Determine a(m). 6 Let z(m) be the third derivative of 0*m + 0 + 1/6*m**3 + 3*m**2 - 1/24*m**4. Calculate z(-6). 7 Let s be 1/(0 + -2 - -1). Let l be 1 + s - (5 + -4). Let f(n) = -4*n**3 + n**2 + n. What is f(l)? 4 Let n(p) be the third derivative of p**6/120 + p**5/12 - p**4/24 - p**3/6 - 5*p**2. What is n(-4)? 19 Let a(g) = -g**3 + 10*g**2 + 11*g + 4. Let l be a(11). Suppose l*h + 4*d = -36, -h - 20 = 4*d - 2. Let n(b) = 2*b + 2. What is n(h)? -10 Let l(j) be the first derivative of -1/2*j**2 + 1 - 7*j. Determine l(-3). -4 Suppose 4*g + 8 = -5*u + u, -4*g - 2 = 2*u. Let r(n) be the first derivative of -10*n**3/3 - 1. What is r(g)? -10 Suppose -2*a + 3*p + 12 = 0, 3*p + 2 = 2*p. Suppose 0 = a*f + 3 - 0. Let b(i) = -1 + 0*i - 3*i + 6*i. Determine b(f). -4 Let b(o) be the third derivative of -o**4/24 - o**3/6 + 8*o**2. Determine b(4). -5 Let q be 12 + 0 - 6/2. Suppose 0 = 2*y - 0*y + 12. Let u = y + q. Let k(w) = w**3 - 5*w**2 + 3*w + 3. Determine k(u). -6 Let t = -5 - -9. Let z = t - 2. Suppose -1 = -z*u - 3. Let q(m) = 5*m - 1. Calculate q(u). -6 Let m(s) be the second derivative of -4*s**3/3 - s**2/2 - 13*s. Determine m(1). -9 Let a(c) = 3*c + 0 + 0 + 2 + 0*c. Let p(n) = n - 3*n**2 - n - n**3 + 2*n + 3. Let j be p(-3). Determine a(j). -7 Let q(c) = -2*c**3 - 11*c**2 + 4*c - 8. Let a(u) = -5*u**3 - 23*u**2 + 7*u - 17. Let r(p) = -3*a(p) + 7*q(p). Determine r(7). -5 Let i(c) be the first derivative of c**4/4 - c**3/3 + c**2 - 2*c + 3. Calculate i(2). 6 Let j(m) = m**3 + 6*m**2. Let x(u) = -2*u**2 - 2*u + 18. Let v be x(-4). What is j(v)? 0 Let a = -20 - -17. Let q(i) = -i**3 - 4*i**2 - 4*i. Give q(a). 3 Let s(p) = -p**3 + p**2 - p + 8. Let t be s(0). Let d = -11 + t. Let v(o) = o**2 + o - 4. What is v(d)? 2 Let o(u) = u**2 + 0*u**2 + 5 - 3*u - 4 - 2*u**2. Let l(g) = -g**2 + 5*g + 2. Let h be l(6). What is o(h)? -3 Let u(g) = 14*g + 9*g - 29*g. Give u(-2). 12 Suppose 0 = 4*f - 3*f. Let j(i) = i + 7. Let y be j(-6). Let z(x) = 3 - y + 2*x**2 - 2*x + f*x**2. Give z(2). 6 Let a(t) = -4*t**2 - t - 2. Let x(o) = -3*o**2 - 2. Let z(i) = 4*a(i) - 5*x(i). Calculate z(-4). 2 Let i(t) be the third derivative of -3/8*t**4 + t**3 + 0 + 1/60*t**5 + 0*t - t**2. Determine i(4). -14 Let w be (-10)/(-24) - 1/3. Let d(j) be the second derivative of 1/6*j**3 + 2*j - w*j**4 + 0 - 1/2*j**2 + 9/20*j**5. What is d(1)? 8 Let u(h) = h**3 + h**2 - h + 1. Let v(i) = 5*i**3 + 11*i**2 + 2*i + 7. Suppose -1 = 2*n - n. Let w(s) = n*v(s) + 4*u(s). Let y be (64/12)/(-2)*9/4. Give w(y). -3 Let q(x) = -3*x - 7 - x**3 + 2*x - x**2 + 0*x. Suppose -5*j = 3*m - 40, -4*m = 2*j + 2*j - 32. Let v = 8 - j. Calculate q(v). -7 Suppose 0*m = -4*v - 3*m, 3*v - 2*m = -17. Let o(d) = 2*d + 4. Calculate o(v). -2 Let x(k) = 2*k**2 + k + 1. Let q = 21 - 22. Let m = -6 - -3. Let l = m - q. Give x(l). 7 Let b be 1/(-1)*2/(-2). Let f(a) = -5*a + 1. Calculate f(b). -4 Suppose -m + 4*m - 27 = -3*s, -10 = -5*m + 2*s. Suppose 12 = -x + m*x. Suppose 3 = -x*a + g, -a = a + 3*g + 5. Let z(q) = 8*q + 1. What is z(a)? -7 Let w(s) = -4*s + 14. Let u be w(4). Let b(k) = 2*k**2 + k - 2. Calculate b(u). 4 Let w(u) = -3 - 6 + u**2 - 17*u + 10*u. What is w(7)? -9 Let b be ((-12)/(-16) - (-17)/(-12))*-3. Let g(q) = 0 - 1 - 1 - q. Calculate g(b). -4 Let f = 4 - 1. Let r = 0 - -2. Let u(a) = 4*a - 2 - f*a - 5 - r*a. Give u(-5). -2 Suppose 3*g - 2*c = -0*c - 2, 3*c + 4 = g. Let m(h) = -h**3 - h**2 - 2. Give m(g). 2 Let p(y) = 9*y + 9. Let x(h) = -4*h - 4. Let q(o) = 2*p(o) + 5*x(o). Suppose r + 3*k = 1, -19 + 47 = -4*r + 4*k. What is q(r)? 8 Let c(n) = n**2 - 5*n. Suppose 5*s + 3*i - 36 = 0, -2*s + 14 = s - 2*i. What is c(s)? 6 Suppose 0 = 5*r + 2*h - 25, 4*r - 4*h = 12 + 8. Let y(w) be the third derivative of -w**4/8 + 5*w**3/6 + 2*w**2. Determine y(r). -10 Let c(p) = p**3 - 3*p**2 - 3. Suppose 3*i + 13 = -0*i - 5*r, -3*i = r - 7. Calculate c(i). 13 Let n(i) = i**3 - i - 1. Let y = -7 + 9. Let f(c) = 3*c**3 - 6*c**2 - 8. Let p(v) = y*n(v) - f(v). Suppose -2*t + 6*t - 24 = 0. What is p(t)? -6 Suppose 3*h + 2*k = 58, 2*k - 7 = 3. Let y be 2/(h/(-6))*-4. Let j(c) = 3*c**2 - 2 + 2*c**y - 3*c - 2*c - c**3. Determine j(-4). 2 Suppose 4*i - 12 = -20. Let f(u) be the third derivative of -u**6/240 + u**4/12 - 2*u**2. Let w(m) be the second derivative of f(m). Give w(i). 6 Let o(w) = 8*w + w**2 - 4 - 4*w - 2*w - w. Let q be (0 - 0) + -1 + 3. Suppose 2*s + 12 = -q*s. What is o(s)? 2 Let a(f) = -f**3 - f + 16 + 7*f**2 - 2 - 4. Calculate a(7). 3 Let p(h) be the third derivative of -h**8/20160 - h**7/5040 - h**6/720 - h**5/15 + 5*h**2. Let q(f) be the third derivative of p(f). Give q(0). -1 Let q(u) = -u**2 + 7. Let v be 0/((3 - 1) + 0). Calculate q(v). 7 Let d be 2/(-5)*(90/4)/(-9). Let m(k) = k. What is m(d)? 1 Let b(y) be the first derivative of -3*y**4/4 - 2*y**3/3 + y**2 - y - 3. What is b(1)? -4 Let h(q) = 2*q**2 + 0*q**2 - 6*q**2 + 2 + 5*q**2 - 4*q. Let o(r) be the third derivative of r**5/60 + 5*r**4/24 + r**3/3 + r**2. Let t be o(-5). Give h(t). -2 Let p(i) = -7*i - 4*i**3 + 5*i**3 + 0 + 5 - 6*i**2. Determine p(7). 5 Let h(k) = -4*k**2 + 5*k + 4. Let n(o) = -5*o**2 + 5*o + 5. Let d(j) = -6*h(j) + 5*n(j). Determine d(-6). -5 Suppose 6 = 4*g - 5*n, 28 = 4*g + g + 4*n. Let h(i) be the third derivative of -i**4/24 + 7*i**2. Give h(g). -4 Let j(o) be the first derivative of o**4/4 + 3*o**3 - 9*o**2/2 + 10*o + 27. Give j(-10). 0 Let g be 3*-1 + (2 - 3). Let b(n) = 4*n + 6. Determine b(g). -10 Let y(n) = -3*n**2 + 3*n + 2*n**2 - n - 3. Suppose 1 + 27 = 14*r. Give y(r). -3 Let a(m) = -m**3 - 4*m**2 - 5*m - 3. Let v be a(-3). Let i(c) = -7 + 11 - v*c**2 + 2*c**2 + 4*c. Let q = -7 - -11. What is i(q)? 4 Let l(o) = o**2 + 3. Let i be 0 + (-3)/(3/4). Let b(c) = c + 4. Let m be b(i). Give l(m). 3 Let k(l) be the third derivative of l**5/60 - 5*l**4/24 + 5*l**3/6 + 11*l**2. Suppose 5*q + 10 = 4*q. Let g be 2*(-2)/10*q. Give k(g). 1 Let g(z) = 2*z - 5 - 13 + 17. Determine g(-3). -7 Let k(a) = a**2 - 10*a + 9. Suppose -3*j + j + 4*d = 6, -15 = -5*j + 4*d. Let h be k(j). Let y be 57/h + 1/(-4). Let w(n) = -2*n - 7. What is w(y)? 3 Let s be (2 - 2)/(-7*(-2)/14). Let q(b) = 5*b**3 - 5*b**2 + 6*b - 8. Let d(k) = -9*k**3 + 9*k**2 - 11*k + 16. Let t(w) = 6*d(w) + 11*q(w). Give t(s). 8 Let z(d) = 2*d + 6 - 5 - 2. Let b be 252/15 + 1/5. Suppose 0 = -l - 3*l + 3*i - b, -4*l - 5 = i. Give z(l). -5 Let h(v) = -13*v - 11. Let o(i) = -7*i - 6. Let k(s) = 6*h(s) - 11*o(s). Suppose 0*r + 5 = -r. Let m = -6 - r. What is k(m
{ "pile_set_name": "DM Mathematics" }
1834457 to the nearest integer? 122 What is 2201671 to the power of 1/9, to the nearest integer? 5 What is the third root of 195291 to the nearest integer? 58 What is the square root of 10870 to the nearest integer? 104 What is 490856 to the power of 1/4, to the nearest integer? 26 What is the square root of 712751 to the nearest integer? 844 What is the cube root of 613683 to the nearest integer? 85 What is 10498705 to the power of 1/7, to the nearest integer? 10 What is 11590123 to the power of 1/4, to the nearest integer? 58 What is the ninth root of 11906588 to the nearest integer? 6 What is the third root of 39274 to the nearest integer? 34 What is 4424965 to the power of 1/2, to the nearest integer? 2104 What is the fifth root of 8454763 to the nearest integer? 24 What is the eighth root of 9337986 to the nearest integer? 7 What is 1720886 to the power of 1/4, to the nearest integer? 36 What is the cube root of 4050225 to the nearest integer? 159 What is the square root of 314236 to the nearest integer? 561 What is 135539 to the power of 1/2, to the nearest integer? 368 What is the cube root of 787448 to the nearest integer? 92 What is the third root of 712404 to the nearest integer? 89 What is the third root of 7620926 to the nearest integer? 197 What is 2567130 to the power of 1/6, to the nearest integer? 12 What is 2019169 to the power of 1/7, to the nearest integer? 8 What is 13869749 to the power of 1/3, to the nearest integer? 240 What is the square root of 8840786 to the nearest integer? 2973 What is 386306 to the power of 1/2, to the nearest integer? 622 What is the square root of 15804726 to the nearest integer? 3976 What is the tenth root of 272926 to the nearest integer? 3 What is the third root of 2061203 to the nearest integer? 127 What is 286670 to the power of 1/2, to the nearest integer? 535 What is 24995336 to the power of 1/10, to the nearest integer? 5 What is 1347638 to the power of 1/7, to the nearest integer? 8 What is 5181677 to the power of 1/10, to the nearest integer? 5 What is the square root of 2065542 to the nearest integer? 1437 What is 361999 to the power of 1/4, to the nearest integer? 25 What is the fifth root of 958 to the nearest integer? 4 What is 191581 to the power of 1/3, to the nearest integer? 58 What is 1809003 to the power of 1/4, to the nearest integer? 37 What is the square root of 137398 to the nearest integer? 371 What is the third root of 8983674 to the nearest integer? 208 What is the third root of 1634230 to the nearest integer? 118 What is the square root of 566487 to the nearest integer? 753 What is 2600769 to the power of 1/3, to the nearest integer? 138 What is 82650 to the power of 1/2, to the nearest integer? 287 What is 3468215 to the power of 1/2, to the nearest integer? 1862 What is the cube root of 6827793 to the nearest integer? 190 What is 927897 to the power of 1/2, to the nearest integer? 963 What is 2468744 to the power of 1/6, to the nearest integer? 12 What is 71782 to the power of 1/2, to the nearest integer? 268 What is the third root of 1411685 to the nearest integer? 112 What is 4256482 to the power of 1/2, to the nearest integer? 2063 What is the cube root of 50226 to the nearest integer? 37 What is the cube root of 11708741 to the nearest integer? 227 What is 1014213 to the power of 1/5, to the nearest integer? 16 What is 9777 to the power of 1/3, to the nearest integer? 21 What is the eighth root of 1669985 to the nearest integer? 6 What is the cube root of 837891 to the nearest integer? 94 What is 578364 to the power of 1/3, to the nearest integer? 83 What is the square root of 477228 to the nearest integer? 691 What is 4145311 to the power of 1/8, to the nearest integer? 7 What is 64835 to the power of 1/2, to the nearest integer? 255 What is the seventh root of 23640 to the nearest integer? 4 What is the square root of 489598 to the nearest integer? 700 What is the square root of 152422 to the nearest integer? 390 What is 126992 to the power of 1/5, to the nearest integer? 10 What is 1816142 to the power of 1/3, to the nearest integer? 122 What is the sixth root of 1489156 to the nearest integer? 11 What is the cube root of 1795875 to the nearest integer? 122 What is the cube root of 2497043 to the nearest integer? 136 What is 880677 to the power of 1/2, to the nearest integer? 938 What is 225132 to the power of 1/2, to the nearest integer? 474 What is the square root of 3646531 to the nearest integer? 1910 What is the cube root of 121525 to the nearest integer? 50 What is 11473874 to the power of 1/2, to the nearest integer? 3387 What is the ninth root of 6348064 to the nearest integer? 6 What is the cube root of 30485 to the nearest integer? 31 What is 1569868 to the power of 1/2, to the nearest integer? 1253 What is the cube root of 23738173 to the nearest integer? 287 What is the square root of 4022031 to the nearest integer? 2006 What is the sixth root of 1787047 to the nearest integer? 11 What is 89745 to the power of 1/2, to the nearest integer? 300 What is 5000554 to the power of 1/6, to the nearest integer? 13 What is 18416642 to the power of 1/2, to the nearest integer? 4291 What is the square root of 112150 to the nearest integer? 335 What is the cube root of 99355 to the nearest integer? 46 What is the sixth root of 4222851 to the nearest integer? 13 What is 302600 to the power of 1/3, to the nearest integer? 67 What is the cube root of 224801 to the nearest integer? 61 What is 4897154 to the power of 1/2, to the nearest integer? 2213 What is the third root of 4915648 to the nearest integer? 170 What is the third root of 1805673 to the nearest integer? 122 What is 1924376 to the power of 1/3, to the nearest integer? 124 What is the third root of 20201279 to the nearest integer? 272 What is the square root of 401508 to the nearest integer? 634 What is 59180 to the power of 1/3, to the nearest integer? 39 What is 432118 to the power of 1/9, to the nearest integer? 4 What is the cube root of 70287 to the nearest integer? 41 What is the third root of 4181908 to the nearest integer? 161 What is 21661 to the power of 1/3, to the nearest integer? 28 What is 19552372 to the power of 1/2, to the nearest integer? 4422 What is the fourth root of 179131 to the nearest integer? 21 What is 458409 to the power of 1/5, to the nearest integer? 14 What is the square root of 17850 to the nearest integer? 134 What is the fifth root of 250498 to the nearest integer? 12 What is the square root of 2171988 to the nearest integer? 1474 What is the square root of 64247 to the nearest integer? 253 What is 788040 to the power of 1/3, to the nearest integer? 92 What is 1016309 to the power of 1/8, to the nearest integer? 6 What is 11112 to the power of 1/4, to the nearest integer? 10 What is the third root of 6218874 to the nearest integer? 184 What is the tenth root of 706867 to the nearest integer? 4 What is 10777230 to the power of 1/9, to the nearest integer? 6 What is the sixth root of 1388847 to the nearest integer? 11 What is the cube root of 85737 to the nearest integer? 44 What is 35317 to the power of 1/3, to the nearest integer? 33 What is the tenth root of 17582183 to the nearest integer? 5 What is 232233 to the power of 1/2, to the nearest integer? 482 What is the third root of 38034787 to the nearest integer? 336 What is 849557 to the power of 1/5, to the nearest integer? 15 What is the square root of 1662764 to the nearest integer? 1289 What is 3969397 to the power of 1/5, to the nearest integer? 21 What is the square root of 590394 to the nearest integer? 768 What is 6081043 to the power of 1/2, to the nearest integer? 2466 What is the eighth root of 6875593 to the nearest integer? 7 What is 224316 to the power of 1/2, to the nearest integer? 474 What is the ninth root of 172447 to the nearest integer? 4 What is 1609196 to the power of 1/5, to the nearest integer? 17 What is 579483 to the power of 1/3, to the nearest integer? 83 What is 28236 to the power of 1/3, to the nearest integer? 30 What is the square root of 43462 to the nearest integer? 208 What is the square root of 4390103 to the nearest integer? 2095 What is the cube root of 52242 to the nearest
{ "pile_set_name": "DM Mathematics" }
ent from {z: 8, g: 4, d: 2}. Give prob of sequence dgzz. 8/429 What is prob of sequence tc when two letters picked without replacement from cfxtxffsfc? 1/45 What is prob of sequence tt when two letters picked without replacement from {f: 10, t: 9}? 4/19 Two letters picked without replacement from {s: 1, m: 2, a: 3, w: 1, n: 2, i: 3}. Give prob of sequence as. 1/44 Four letters picked without replacement from izjizpcoppz. Give prob of sequence pjoc. 1/2640 Four letters picked without replacement from wzzwwobhoobo. Give prob of sequence zohw. 1/495 Four letters picked without replacement from {u: 2, v: 8}. What is prob of sequence uvuv? 1/45 What is prob of sequence on when two letters picked without replacement from {f: 1, p: 1, v: 3, n: 3, o: 4, m: 5}? 3/68 Calculate prob of sequence qzz when three letters picked without replacement from {z: 2, m: 10, q: 1, e: 1, v: 4}. 1/2448 Calculate prob of sequence aaa when three letters picked without replacement from {a: 5}. 1 Four letters picked without replacement from uuuuqquuuuquqq. Give prob of sequence uquq. 60/1001 What is prob of sequence fmu when three letters picked without replacement from {g: 2, f: 1, w: 2, m: 4, r: 1, u: 2}? 1/165 Four letters picked without replacement from rbrrvsrxbbrr. Give prob of sequence xsvr. 1/1980 What is prob of sequence eeu when three letters picked without replacement from {u: 2, e: 16}? 5/51 Two letters picked without replacement from vzvkvkvkkkkvvvvkvkv. Give prob of sequence zv. 5/171 Calculate prob of sequence kkk when three letters picked without replacement from kkkxkkkkkkkkkkkkkk. 5/6 Calculate prob of sequence mbe when three letters picked without replacement from {b: 3, j: 3, o: 2, m: 2, e: 1, n: 1}. 1/220 Two letters picked without replacement from tpvtbevvvvbvvvvbvve. What is prob of sequence vb? 11/114 Two letters picked without replacement from {s: 1, x: 2, y: 2, k: 2, v: 1}. Give prob of sequence kx. 1/14 What is prob of sequence oz when two letters picked without replacement from xxtoozzot? 1/12 Three letters picked without replacement from {c: 1, f: 1, x: 1, i: 1, m: 1}. What is prob of sequence xmc? 1/60 What is prob of sequence eiqp when four letters picked without replacement from pieeqeeee? 1/504 Four letters picked without replacement from rkrrrkqk. Give prob of sequence qrkr. 3/140 Calculate prob of sequence juu when three letters picked without replacement from {b: 4, u: 6, o: 5, e: 1, z: 3, j: 1}. 1/228 Two letters picked without replacement from qllqqql. Give prob of sequence ll. 1/7 Two letters picked without replacement from kkgkbuhhkkuhhqhhkq. Give prob of sequence bk. 1/51 Calculate prob of sequence skk when three letters picked without replacement from {s: 2, k: 5, j: 6}. 10/429 Two letters picked without replacement from oxqxojgb. Give prob of sequence jg. 1/56 What is prob of sequence wrr when three letters picked without replacement from wrwwwwwrwww? 1/55 Three letters picked without replacement from hnkhnnhhhnhnhnkn. What is prob of sequence knk? 1/240 What is prob of sequence ropa when four letters picked without replacement from {a: 1, d: 4, r: 3, x: 1, o: 2, p: 1}? 1/1980 Calculate prob of sequence mql when three letters picked without replacement from mlqqmmmmmmqmmmmml. 3/170 Two letters picked without replacement from mymjutmymzyzmumuuz. Give prob of sequence yt. 1/102 What is prob of sequence vqs when three letters picked without replacement from qsvvsqss? 1/21 What is prob of sequence mqm when three letters picked without replacement from {o: 1, e: 2, m: 2, z: 5, b: 1, q: 2}? 1/429 What is prob of sequence iyi when three letters picked without replacement from {y: 1, i: 5, r: 1, x: 3, w: 1, f: 3}? 5/546 Four letters picked without replacement from tottotottoott. Give prob of sequence toot. 28/429 Three letters picked without replacement from {w: 2, g: 3, c: 3}. What is prob of sequence ccg? 3/56 Four letters picked without replacement from nnnn. What is prob of sequence nnnn? 1 Calculate prob of sequence pooo when four letters picked without replacement from opoo. 1/4 What is prob of sequence ibi when three letters picked without replacement from bhihhbbi? 1/56 Three letters picked without replacement from jyyjyyjjyyyyyy. Give prob of sequence jyj. 5/91 Three letters picked without replacement from {p: 4, u: 2, i: 2}. What is prob of sequence iup? 1/21 Calculate prob of sequence oo when two letters picked without replacement from pdoepeepoeoeo. 1/13 What is prob of sequence jfq when three letters picked without replacement from hqjwf? 1/60 What is prob of sequence cppp when four letters picked without replacement from llpceppsesee? 1/1980 Two letters picked without replacement from zvvvvzvvzvv. What is prob of sequence zz? 3/55 Four letters picked without replacement from oxxyzyzyxzdozuyod. What is prob of sequence xudo? 3/9520 Three letters picked without replacement from tjaaajj. Give prob of sequence atj. 3/70 Three letters picked without replacement from {d: 2, f: 1, j: 1, v: 8, n: 1, i: 3}. Give prob of sequence jvv. 1/60 Four letters picked without replacement from gwwwewggwwwwwwwgee. What is prob of sequence gggg? 1/3060 Three letters picked without replacement from addddadd. Give prob of sequence aaa. 0 Four letters picked without replacement from {z: 4, b: 1, p: 3, c: 2, a: 2}. Give prob of sequence azcb. 2/1485 Two letters picked without replacement from iidddirdridxiigiidd. What is prob of sequence dx? 7/342 Three letters picked without replacement from ububbbuubzbzuuubbbr. Give prob of sequence zuz. 7/2907 Three letters picked without replacement from cczczzdcc. Give prob of sequence czd. 5/168 Three letters picked without replacement from vvvvvvvffv. Give prob of sequence vvv. 7/15 Calculate prob of sequence ih when two letters picked without replacement from {u: 2, i: 3, h: 5, k: 1, a: 8}. 5/114 Three letters picked without replacement from {n: 1, j: 2, i: 2, y: 4}. What is prob of sequence njj? 1/252 Four letters picked without replacement from jtebjjujutub. What is prob of sequence etbb? 1/2970 Calculate prob of sequence yiii when four letters picked without replacement from {i: 13, y: 6}. 143/1292 Calculate prob of sequence opop when four letters picked without replacement from {p: 13, o: 6}. 65/1292 Calculate prob of sequence ncn when three letters picked without replacement from {c: 1, n: 2}. 1/3 Calculate prob of sequence yyd when three letters picked without replacement from nnhyddddhyhd. 1/132 Two letters picked without replacement from vjvjsjvv. What is prob of sequence jj? 3/28 Two letters picked without replacement from {j: 1, i: 1, k: 1, g: 1, s: 1}. What is prob of sequence sg? 1/20 What is prob of sequence dz when two letters picked without replacement from {x: 2, z: 1, d: 3, t: 4, u: 2}? 1/44 What is prob of sequence chs when three letters picked without replacement from bsbifhhhffc? 1/330 Four letters picked without replacement from kttvttvtkvvtkvtvt. What is prob of sequence tktt? 3/170 What is prob of sequence dfdf when four letters picked without replacement from ffdd? 1/6 Calculate prob of sequence gygg when four letters picked without replacement from gggygggg. 1/8 Three letters picked without replacement from {y: 5, j: 1, u: 3, r: 2, s: 1}. Give prob of sequence jru. 1/220 Two letters picked without replacement from ydccyyytdd. What is prob of sequence yc? 4/45 Three letters picked without replacement from yyvmcvcrmtyy. Give prob of sequence ccm. 1/330 Calculate prob of sequence fq when two letters picked without replacement from {y: 2, q: 1, f: 1}. 1/12 Four letters picked without replacement from {x: 5, f: 5}. Give prob of sequence fxxx. 5/84 Calculate prob of sequence eve when three letters picked without replacement from {v: 4, e: 6}. 1/6 Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhhhhhhhhhhhihhh. 15/19 Calculate prob of sequence fll when three letters picked without replacement from fxllloqfxololqooxl. 5/408 Two letters picked without replacement from tcm. Give prob of sequence ct. 1/6 Two letters picked without replacement from ommmcmmommmzmom. Give prob of sequence oz. 1/70 Three letters picked without replacement from {h: 1, w: 1,
{ "pile_set_name": "DM Mathematics" }
48)/((-15)/(-10))). -31/5 ((-488)/671)/(62/(-341))*((-595)/4)/(-5) 119 (-50)/(7600/3724)*2 -49 What is (-5734)/366*(-552)/92? 94 7698/19245*(-330)/(-4) 33 What is -84*20/(-1140)*19? 28 Calculate (4/(-30))/(134/3350*10/(-12)). 4 What is the value of ((-12760)/(-16))/(-11)*(-2)/(-5)*(-55)/(-11)? -145 What is ((-6*3/(-3))/((-7572)/(-6310)))/(-2*7)? -5/14 Calculate (((-1320)/(-36))/(-22))/(11*(-115)/5313). 7 Evaluate -2*(-2727)/(-1515)*(-3)/(-27). -2/5 (15/30)/(((-1230)/(-17425))/(4/5)) 17/3 What is (-3)/58*((-3)/8)/((-234)/(-832))? 2/29 What is ((-335)/(-134))/(91/676*(-8)/28)? -65 What is the value of 10*((-3)/(-45))/(62/(-155))*3? -5 What is the value of 5/((-20)/(820/(-41)))? 5 Evaluate (2454/26176)/((-2)/64). -3 What is (9/3)/(6/(-288)*36)*-5? 20 Calculate ((-14)/3*-1)/((16/4)/(-12)). -14 What is the value of (((-456)/12)/(-38))/(65/10)? 2/13 What is 6*48/2736*57? 6 Evaluate (5/60*6)/((-23)/(276/162)). -1/27 What is (-12)/126*-7*23/(-2116)*24? -4/23 What is the value of 2547/7641*3*-24? -24 What is the value of (10/(-4))/(-37*(-93)/(-41292))? 30 What is ((16100/(-504))/(-115))/((495/36)/11)? 2/9 What is the value of ((20/(-100))/(48/240))/((210/(-9))/5)? 3/14 What is 31*(-84)/(-744)*1*(55/70)/11? 1/4 Evaluate (5/(-230))/(21894/(-24564)). 1/41 What is (-590)/1652*12/(-5)*(-14)/(-92)? 3/23 Calculate (-39*7/6188*200)/((-9)/102). 100 What is the value of (-1)/3*85/((-7990)/(-3807))? -27/2 (4*((-33)/(-3))/(-77))/((342/(-133))/9) 2 Evaluate (6/((-60)/(-5)))/(1538/(-187636)). -61 What is (3604/(-1938))/(-53)*(-24)/32? -1/38 What is the value of ((-131)/(-6681))/(1/(-6))? -2/17 What is ((-28)/(-20))/((-434)/8680)? -28 Calculate ((-1725)/2300)/(5/10). -3/2 Evaluate (-1)/(7/2)*(-108668)/38810. 4/5 What is (834/973)/(((-3)/(-4))/((-308)/(-16)))? 22 What is (-6)/4*83/(2822/(-68))? 3 (41/(-5))/((8/280)/(49/343)) -41 ((-28722)/(-76592))/((-2)/((-80)/(-18))) -5/6 What is 4/10*6*((-7)/(-112))/(9/12)? 1/5 What is the value of (2/(-3))/(1/20*-6*(-1190)/(-612))? 8/7 What is the value of (1/(9/(-1)))/(((-9)/39)/(78/169))? 2/9 What is the value of (-284)/639*28/336*3*3/2? -1/6 Evaluate (-19)/(152/(-18))*(-924)/(-99). 21 What is the value of 1015/58*(14/(-49))/2*(-3)/(-10)? -3/4 Calculate (-1)/9*(-13)/(78/369)*1278/213. 41 What is the value of 10/(-16)*9/2*41*(-11)/(-40590)? -1/32 Calculate ((6/(-15))/((-24)/30))/((-436)/35752). -41 What is ((-20)/(-540))/((35/12)/(-35))? -4/9 ((-9)/432*-6)/(138/(-92)*3/6) -1/6 21/2*(4928/(-49))/(-32) 33 Evaluate (((-318435)/(-920))/(-213))/(1/24). -39 (1*-4)/(170/(-1496))*(-1420)/(-568) 88 What is the value of (-7)/95*(5226/(-39195))/(1/(15/(-14)))? -1/95 33060/4959*((-378)/(-1740))/7 6/29 3707/(-2359)*42/6 -11 Calculate (6530/1306)/((-20)/9). -9/4 What is ((297/(-176))/(-3))/(33390/(-2544))? -3/70 Calculate -2*(2/27)/(976/777384). -118 -10*4/(-80)*(5/(-85))/((-7)/(-168)) -12/17 Calculate 410/130*8*(195/8)/15. 41 Calculate -37*111/8214*(-216)/(-3). -36 What is the value of ((-119)/(24276/(-272)))/((-76)/9)? -3/19 Evaluate ((-155)/(1705/11))/((-14)/(-16)). -8/7 Evaluate -2*-270*(-13)/(-156). 45 Evaluate 40/60*(-648)/(-12). 36 ((-3)/(-20))/((-20)/(-64)*140/525) 9/5 What is (-2128)/(-6384)*(-22)/(-6)? 11/9 Evaluate ((-8)/28)/((114/(-4921))/3). 37 Calculate (165/(-4))/3*35/((-21875)/2000). 44 (1540/(-1320))/(14/(-99))*-4 -33 What is the value of ((14/(-14))/(2/(24/3636)))/(1/6)? -2/101 What is (-29)/(-58)*9/(-6)*(-46)/(-23)? -3/2 Calculate -30*((-236)/413)/(2/(-1))*7/2. -30 Calculate (((-2)/5)/((-256)/(-576)*-27))/((-2)/(-8)). 2/15 What is (6/(-8)*1296/243)/((32/(-44))/(-2))? -11 Evaluate (-10)/(-6)*-35*20274/19075. -62 What is the value of (2/(-4)*14*(-244)/(-854))/((-12)/114)? 19 What is the value of ((0/(-30))/16)/((-18)/(-6))? 0 Evaluate ((-371)/((-33019)/(-1068)))/(2/2). -12 What is the value of (((-18)/(-24))/(165/(-88)))/((-6)/(-465))? -31 What is the value of 9608/(-2402)*25/4? -25 What is the value of (27*(288/(-80))/(-18))/((-18)/(-30))? 9 What is the value of (((-152)/(-288))/19)/(76/57)? 1/48 Calculate 54/72*2*(-52)/91. -6/7 Calculate ((-2233)/(-11))/29*(-9)/315*(-90)/93. 6/31 What is the value of (-78)/4*(-180)/135*3/((-12)/1)? -13/2 ((-18)/54*(-6)/(-2))/((203/378)/(-29)) 54 Calculate 42/1716*(-256)/448. -2/143 (-162)/(-243)*459/(-18) -17 What is the value of (((-11375)/65)/(-28000))/((-1)/2)? -1/80 Evaluate (2/30)/(200/(-30)*(-36)/90). 1/40 What is the value of 3/((-12)/20)*29/((-184875)/(-45))*30? -18/17 Evaluate 872*((-1550)/(-25))/496. 109 What is (((-63252)/(-56))/251)/((-3)/(-68))? 102 What is (((-10)/(-8))/((-5)/(-2)))/((12934/(-8700))/223)? -75 Evaluate (3*-2*(-4)/(-56))/(105/(-735)). 3 Evaluate (-57040)/(-1380)*(-3)/2. -62 (23/(414/144))/((102/12)/17) 16 What is the value of ((-227)/(-1589))/((-4)/(-2072)*-2)? -37 What is (-4)/144*403512/1564? -43/6 What is 37*(-24)/(-5328)*-6*92? -92 Evaluate (-138)/5796*49*33/(-7). 11/2 Evaluate ((126/315)/(5152/(-40)))/((-3)/(-12)). -2/161 429875/(-82536)*6/(-75) 5/12 ((-348)/10672)/((-8)/92) 3/8 What is (7/(-15))/(4263/(-4060))*(-2)/4? -2/9 What is the value of -2*(-3)/(-18)*(17850/70)/(-15)? 17/3 Evaluate (1560/(-2535))/(20/(-195)). 6 What is the value of (-7*189/(-637))/(168/1456)? 18 What is ((-608)/(-18240))/((-7)/(-630))? 3 ((657/438)/(17/8))/(1/(-34)*-4) 6 Evaluate (106*(-3)/36)/((-100)/(-600)). -53 (566/566)/((3/30)/(6/15)) 4 Calculate ((-24)/22)/(-2)*(-20064)/(-4560). 12/5 49/3*21114/(-5474) -63 What is (47/((-2350)/(-240)))/(58/(-580))? -48 Calculate (85/60)/(((-77)/588)/(-11)). 119 What is the value of (14175/(-525))/((-3)/5)? 45 Evaluate -7*(-1)/1*(-37)/((-2072)/(-176)). -22 Evaluate (26/1274*-658)/(16/(-56)). 47 Calculate 72/(-8)*5/390*13*4/90. -1/15 Calculate ((-6)/20)/((-8)/(-180))*-105*120/6750. 63/5 Calculate 570/(-1197)*(-1)/(-10)*(-6)/5. 2/35 What is the value of 3/((-3)/2)*14/6*255/14? -85 (1/11)/((325/4875)/((-1)/(-5))) 3/11 Calculate -36*(-35)/2940*-28. -12 What is the value of 2*2*(-85)/(-35)*(-532)/(8360/(-110))? 68 Evaluate 64*(-112)/8960*85/(-2). 34 ((170/68)/((-50)/10))/((-2)/(8*11)) 22 Evaluate ((28/77)/((-120)/(-132)))/(16/(4800/135)). 8/9 Calculate ((-22)/28)/((-9063)/(-1649466)). -143 Calculate ((-2)/3)/(-3*((-210)/(-30))/(-924)). -88/3 What is (294/(-77))/((-459)/5049)? 42 What is the value of (20727/(-141))/(-3234)*-54? -27/11 40/264*(-86)/(-1290) 1/99 Evaluate (-30)/60*-1*(-232)/(-12)*3. 29 Evaluate (-280)/84*4/248*504/140. -6/31 288/180*495/(-924) -6/7 (154/(-5005))/((-40)/(-1430)) -11/10 (-228)/(-9)*((-261)/6)/(-29) 38 Calculate (-15)/((-53)/2332*22*(-4)/(-6)). 45 What is ((-12)/(-24)*12/3)/((-30)/(-375))? 25 Calculate (-39)/(11*(-624)/7392). 42 6/(91/(-63)*-11*36/(-132)) -18/13 Evaluate (37*(-43)/(-100233))/(-14*(-1)/(-12)). -2/147 What is the value of (-29550)/1605550*(-4)/(-6)? -2/163 What is (-6*-11*(-205)/(-451)*12/10)/2? 18 Evaluate (2/(-16))/(23*(-92)/(-31740)). -15/8 Calculate (32942/(-2172))/((-4)/(-24)). -91 -35*20/400*(-13)/(-1274)*-8 1/7 (8/((-448)/14))/((-15)/(-16)) -4/15 Calculate ((-218)/((-486140)/4237))/(2/4). 19/5 Evaluate ((-940)/705)/((-12)/180). 20 Evaluate 134/(7832/(-890)*40/(-44)). 67/4 Calculate (-35*(-5)/(-280)*108/(-45))/(-1). -3/2 Calculate (64*(-109)/6976)/(((-10)/(-2))/(-1)). 1/5 What is the value of (-58)/(1624/(-84))*94*9/18? 141 (((-188)/(-15))/(1344/(-1680)))/((-1)/3) 47 Calculate (15/(-35))/((-2799)/(-622)). -2/21 Calculate (188/(126336/168))/((-3)/1536). -128 Evaluate (104*(-106)/(-13780))/((141/10)/(3/4)). 2/47 What is the value of -36*16/8*4/(-36)*3? 24 Evaluate (-9)/(10/(-120)*4)*(-5)/10. -27/2 Calculate 60/5*(-190)/228*182/26. -70 (-36)/(-4896)*-17*2 -1/4 Evaluate 16/114*1965/(-1310). -4/19 What is the value of (-1*79/(-3))/((13496/168)/241)? 79 Evaluate (123/(-1)*7/(-63))/(1235/(-3705)). -41 What is ((-642)/(-10))/((10/(-15))/((-20)/(-18)))? -107 What is 24/72*(-2)/((-6)/72*(-528)/18)? -3/11 ((-5)/85*2)/(((-236)/118)/(20/2)) 10/17 Calculate 2/(-4)*-4*(-2)/(-5)*4070/296. 11 What is the value of 26/(-2)*(-11604)/1734798? 2/23 Evaluate (-2)/(2*(-8)/248*4/8*-2). -31 What is -19*(-27)/(-8721)*731*2/2? -43 What is the value of (39/(-15))/((-52)/(-520))? -26 Evaluate 48/36*291*(17/(-68))/((-2)/(-2)). -97 Evaluate ((-2)/((-12)/105))/((-48)/((-4992)/52)). 35 What is (((-360)/(-35))/(-4))/((-690)/(-6440))
{ "pile_set_name": "DM Mathematics" }
9507774? -726469746*k Differentiate 22663463*s - 15676439 with respect to s. 22663463 Differentiate -129194*n**4 - 20*n - 61104813 with respect to n. -516776*n**3 - 20 Find the second derivative of 7*u**5 - 134979*u**3 - u**2 - 9368632*u. 140*u**3 - 809874*u - 2 Find the third derivative of 141*q**5 - 43634*q**4 + 23*q**2 - 252244*q wrt q. 8460*q**2 - 1047216*q What is the second derivative of -89142332*s**2 + 153318639*s? -178284664 What is the third derivative of 53266248*v**3 + 2594*v**2 - 613 wrt v? 319597488 Differentiate -145156*w**2 + 69*w + 7332757. -290312*w + 69 What is the first derivative of -n*x**2 + 3695336*n*x - 105276958*x**2 wrt n? -x**2 + 3695336*x What is the second derivative of -2873*k**3*l**2 + k**3*l - k**2*l + 1422*k*l - 2*k - 5418*l**2 - 245*l wrt l? -5746*k**3 - 10836 Find the first derivative of 9*r**4 + r**3 + 1123*r**2 - 6*r - 40548329. 36*r**3 + 3*r**2 + 2246*r - 6 Find the second derivative of -44906635*p**2 - 81288824*p wrt p. -89813270 What is the third derivative of 376829394*q**3*v + 3490*q**2*v + 66*q**2 - q*v + 14*q wrt q? 2260976364*v Differentiate -95032996*i**2 + 47522658 with respect to i. -190065992*i What is the derivative of -7143625*i**2 + 2653787? -14287250*i Differentiate -164*b*o*t**3 + 141243*b*o*t - 7*b*t + 1030*t**3 - 1590*t with respect to o. -164*b*t**3 + 141243*b*t What is the second derivative of 57732*j**3*x**5 + 8*j**3*x - 2*j**2*x - 9*j**2 - 4*j*x - 69*x**5 - 693*x + 7 wrt x? 1154640*j**3*x**3 - 1380*x**3 Find the third derivative of 1206165586*j**5*q**2 - 446*j**2*q**2 + 304445*j**2*q + 2*j*q**2 wrt j. 72369935160*j**2*q**2 Find the second derivative of -10405303*l**4 + 6317914*l wrt l. -124863636*l**2 What is the first derivative of -20082*q**4 - 111*q**3 - 8550216? -80328*q**3 - 333*q**2 What is the third derivative of -3*b*l*y**3 - 7*b*l*y**2 + 29*b*l + 86666*b*y**3 + 3*b*y - 2*l*y**3 - 2744*l*y**2 - 2*l*y + 3*l + 2*y**2 wrt y? -18*b*l + 519996*b - 12*l What is the second derivative of -43410394*r**2 + 7420281*r? -86820788 Find the third derivative of 229699983*p**6 + p**2 + 44313538*p wrt p. 27563997960*p**3 What is the second derivative of 7851*t**4 + 63*t**3 + 7795*t + 70? 94212*t**2 + 378*t What is the second derivative of -150167070*c**4 - 7*c - 2230952? -1802004840*c**2 Find the second derivative of -481243363*f**2 + 102519926*f wrt f. -962486726 Find the first derivative of -305443310*d**2 + 575827513 wrt d. -610886620*d What is the second derivative of 12*f**4 - 369*f**3 - 575*f**2 + 83857834*f - 3 wrt f? 144*f**2 - 2214*f - 1150 Find the third derivative of -203813912*k**3 + 602858743*k**2 - 1. -1222883472 What is the second derivative of 39845*d*w**2 - 187*d*w - 21498*d + 11891*w**2 - 4*w + 2 wrt w? 79690*d + 23782 What is the second derivative of -556159916*l**2 - 386*l + 16178? -1112319832 Find the second derivative of 10743797*g**2 - 2*g + 2634425 wrt g. 21487594 Find the third derivative of 63379709*b**4 - 41285584*b**2. 1521113016*b What is the second derivative of -2*d*i**4 - 1627*d*i**2 + 209*d - 452*i**2 + 22*i + 197 wrt i? -24*d*i**2 - 3254*d - 904 What is the second derivative of 466718*r**5 + 105*r**4 + 2*r - 45827623 wrt r? 9334360*r**3 + 1260*r**2 What is the third derivative of 3*u**5*w + 6434206*u**4*w - 8010*u**2*w - u**2 + 722 wrt u? 180*u**2*w + 154420944*u*w Find the second derivative of 82952048*o**3 - 3*o**2 + 718830304*o. 497712288*o - 6 Differentiate 35*b*c*p - 1156426*b*c - b*p - 3*b + 16540*c*p wrt p. 35*b*c - b + 16540*c What is the third derivative of 62928352*f**3*l**2 + 27351*f**2*l**2 - 77*f**2*l - f**2 + 8*f*l**2 + f - 2 wrt f? 377570112*l**2 Find the second derivative of 304088473*s**2 - 506614264*s wrt s. 608176946 Find the second derivative of -12*z**5 + 19747*z**4 + 30*z**2 + 11184*z + 4754 wrt z. -240*z**3 + 236964*z**2 + 60 What is the derivative of 4262*u**2*v + u**2 + 412*u - 4873*v**3 + 355 wrt v? 4262*u**2 - 14619*v**2 Differentiate -1748*i*n**2 - i*n + 87461288*i + 23*n**4 + 16*n**2 wrt n. -3496*i*n - i + 92*n**3 + 32*n Differentiate 28*g**2*y**2 - 1444*g**2 - 4*g*y + g - 720745416*y**2 with respect to g. 56*g*y**2 - 2888*g - 4*y + 1 What is the second derivative of 77582*y**5 - 542*y**4 + 22*y + 910722? 1551640*y**3 - 6504*y**2 Find the third derivative of -184548820*c**3*o - 2*c**2*o + 6*c**2 + c*o + 4033546*o - 2 wrt c. -1107292920*o What is the third derivative of -1441*o**3*t - 9455*o**3 + o**2*t - 1623086*o**2 - 7*o*t wrt o? -8646*t - 56730 Find the third derivative of -513*g**5 - 61*g**4 - 4*g**3 - 1606811*g**2 - 8*g wrt g. -30780*g**2 - 1464*g - 24 What is the second derivative of -13199608*w**2 - 1247383*w? -26399216 Find the third derivative of 51606421*w**6 + w**4 - w**2 - 73387415. 6192770520*w**3 + 24*w Find the second derivative of 404205*o**2*r**3 - 3*o**2 + 2*o*r**2 + r**3 - 97492*r wrt o. 808410*r**3 - 6 What is the second derivative of -638891*d**3*k*r - 15*d**3 - 27*d*k*r - 16*d*k + 241*d*r + 6*d - 1 wrt d? -3833346*d*k*r - 90*d What is the derivative of -1572*p*u + 259207655*p - 66595*u wrt u? -1572*p - 66595 What is the third derivative of -453969695*y**3 + 552364739*y**2? -2723818170 What is the third derivative of 61*p**6 + 64223*p**4 - 261567450*p**2? 7320*p**3 + 1541352*p Find the second derivative of -13988008*n**3 - 20862243*n. -83928048*n Find the second derivative of 3*l**4 + 7201776*l**2*z - 392*l*z - 106119*z wrt l. 36*l**2 + 14403552*z What is the second derivative of -5*a**2*f**2*p + 708016*a**2*f + 38*a*f**2*p - 8225*f**2*p - 6*f*p wrt f? -10*a**2*p + 76*a*p - 16450*p What is the derivative of 18422*b*d**2 - 4070*b + 746678*d**2 - 1 wrt b? 18422*d**2 - 4070 Find the second derivative of 277901300*r**2 - 49*r + 1252326 wrt r. 555802600 Find the third derivative of 22587*r**4 - 457*r**3 + 23586725*r**2 - 2. 542088*r - 2742 Find the second derivative of -d**4 - 108*d**3 + 6858*d**2 - 109183*d - 44. -12*d**2 - 648*d + 13716 What is the second derivative of 285*f**2*i**2 + 322*f**2*i - 2*f**2 + 324*f*i**2 - 374*f*i - f - 67*i**2 + 3*i + 3 wrt i? 570*f**2 + 648*f - 134 What is the second derivative of 1542*n**3 + 17975*n**2 + 936740315*n wrt n? 9252*n + 35950 Find the second derivative of 2215*f**3 - 10692*f**2 + 549236007*f. 13290*f - 21384 What is the second derivative of 1441970*z**4 - 7902371*z? 17303640*z**2 What is the second derivative of -2*a**2*f**3*p - 169*a**2*f + 6058*a**2*p - 2*a*f**3*p - 2*a*f**2*p + 48143*f**3*p + 8*f**2*p - 4*f wrt a? -4*f**3*p - 338*f + 12116*p Differentiate 2*o**3*r - 3*o**3 - 73*o**2*r + 13*o**2 + 5034*o*r - 8*o + 608 with respect to r. 2*o**3 - 73*o**2 + 5034*o Find the second derivative of 135433*g**2*o*z + 2*g**2*z**2 + 267*g**2*z + 30*g*o*z - 2*g*z**2 - 211*o*z**2 + 349*o*z - o + 1 wrt g. 270866*o*z + 4*z**2 + 534*z Find the third derivative of -13*d**3*m + 766*d**3*u + 585*d**3 - 2*d**2*u + 940*d*m*u + 4616*u wrt d. -78*m + 4596*u + 3510 Find the second derivative of -4*s**2*v**2*w + 466570*s**2*w + 2*s*v**2*w - 3*s*v*w - 292478*v**2 wrt s. -8*v**2*w + 933140*w What is the second derivative of 2458*p**5 + 13*p**4 - 14*p**2 + 1178199*p + 1 wrt p? 49160*p**3 + 156*p**2 - 28 What is the third derivative of -2*o**6 + 154725287*o**4 + 89236*o**2 - 2809? -240*o**3 + 3713406888*o What is the derivative of -63*l**4 + 6767*l + 6482682 wrt l? -252*l**3 + 6767 What is the third derivative of 2*c**3*v**3 - 31*c**3*v - 39309*c**3 + 2*c**2 - 64*c*v**2 - 2*v**3 + v**2 - 171 wrt c? 12*v**3 - 186*v - 235854 Find the first derivative of -2*d*i**2 - 1943283*d*i + 36553903*d + 6*i**2 + 1 wrt i. -4*d*i - 1943283*d + 12*i What is the derivative of 21237*m**3 + 42*m**2 - 53*m + 275903858? 63711*m**2 + 84*m - 53 What is the third derivative of 26791058*y**3 + y**2 - 8*y + 992661? 160746348 Find the third derivative of -471779*a**4*y - 2*a**4 - 3*a**3*y - 38131258*a**2*y - 2*y wrt a. -11322696*a*y - 48*a - 18*y Find the second derivative of -134*l**2*u**2 - 13955*l**2 + 2*l*u**2 - 3*l + u**2 + 3446959*u wrt l. -268*u**2 - 27910 What is the second derivative of 2*f**2*r**3*x - f**2*r - 668*f**2*x + 267*f**2 - 90*f*r**3*x + 104*f*x + r**3*x + 6*r wrt f? 4*r**3*x - 2*r - 1336*x + 534 What is the second derivative of 325*u**4 - 6*u**3 + 366*u**2 + 29312494*u + 2? 3900*u**2 - 36*u + 732 W
{ "pile_set_name": "DM Mathematics" }
- r*y for l. 3 Let v(k) = k**3 - 3*k**2 - 3. Let b be v(4). Let l = b + -8. Solve t + 19 = l*c - 3, c + 2*t = 11 for c. 5 Let f be (-4)/2*(-2 + 1). Suppose 2*z - 52 = -4*k - 2*z, -2*k + 26 = -z. Suppose 4*g - k = 19. Solve -f*w - 5*s - 21 = -g, w = -4*s - 8 for w. -4 Let g(x) = -x + 1. Let c be g(-4). Let j be (-9)/(-4) + 39/52. Suppose -16 = -7*w + j*w. Solve 3*l + 0*h + 6 = -2*h, -w*h = -c*l - 10 for l. -2 Let f be 2/(-5) - (-24)/(-15). Let d be ((-3)/f)/((-18)/24). Let i be (3/3)/(d/(-70)). Solve -5*p + 30 = -2*b, -b - 5*p + i = -4*b for b. -5 Suppose 5 = -a + 5. Solve a = 4*s - b - 16, 0*b = -3*s + 5*b + 12 for s. 4 Let x(u) = 13*u + 16. Let k be x(0). Solve s + 4 + 3 = -2*g, -3*s - 5*g = k for s. 3 Suppose -2*k = -k. Suppose -28 = -4*t - k. Let b = t - 2. Solve -2 = -2*g - 3*d, b*d = d + 8 for g. -2 Suppose 4*i - y = 3*i + 6, 2*y - 3 = -i. Solve -2*x + i*q - 31 = 0, 2*x - 13 = -2*x - 5*q for x. -3 Suppose -4*f + 3*f + 15 = 0. Suppose z - 2*k = 0, -5*z = 3*k + 2*k - 15. Let l be (-12)/(-2)*1/z. Solve 3*i + 5*a + 0 = f, 3*i - a = -l for i. 0 Let s = -80 - -56. Let z = -10 - s. Solve 3*a - 10 = -2*o + 9, -o + z = 3*a for a. 3 Let u = -13 + 1. Let q be (-57)/u - (-2)/8. Solve s - v + q = 4*s, 9 = -s + 5*v for s. 1 Let j be 10 + 6/(-2) + 0. Solve -3*l + 1 + 30 = 5*y, -l = y - j for l. 2 Let d = 29 - 25. Suppose 5*l + 4*m - 6 = 6*m, -15 = -5*l + 5*m. Let w = l + d. Solve -4*g + 2*z = -2*z, 0 = -w*z - 4 for g. -1 Suppose -4*i - 9 = -41. Solve 0 = -4*l + 5*d - i + 29, 0 = 4*l - 3*d - 19 for l. 4 Let w(l) = -l**3 + 4*l**2 - 4*l + 3. Let s be w(3). Suppose s = -3*v + 13 - 4. Solve 2*b + 3*d + 11 = -0*b, 2*d = v*b - 3 for b. -1 Let m(x) = -8*x**2 - x - 7*x**2 + 4 + 16*x**2. Let w be m(0). Solve 0 = -0*f + 2*f + w*j, -f + 4*j = 0 for f. 0 Suppose z + 26 = 2*z. Suppose 4*j - 114 = -z. Suppose 2*g = f - 4*f + j, 4*g = -f + 14. Solve 14 = -h + 3*m, -2*h - f*m + 27 = -m for h. 1 Let i = -55 + 59. Solve 3*q + i = -5*z, z = -3*z - 3*q - 2 for z. -2 Suppose 4*n - 1 = 5*j - 0, 5*n + j - 23 = 0. Solve 2*v - v = -5*w - 21, 0 = -5*v - n*w for v. 4 Let y = 15 - 13. Let n = y + 3. Solve -4*o - 12 = 4*u, o - 2*o - 3*u = n for o. -2 Let k(y) = -y**3 + 10*y**2 + 11*y + 4. Let w = 34 - 23. Let a be k(w). Solve 5*p + 3 = 3*z - a, 3*p + 4 = 2*z for p. -2 Let o be (-152)/(-57) - 2/(-6). Let v(f) = f**2 + 2*f + 2. Let q be v(-2). Suppose q*k - o*k = -3. Solve -5*j - 15 = 4*u, 5*j = k*u - 2*u + 10 for u. -5 Let r be 119/21 - (-1)/3. Solve 8*x - 2*k - 26 = 4*x, -r = 2*k for x. 5 Suppose b = -t + 2, 0 = 3*b - 4*t - 0 - 6. Solve -22 = 4*u - b*n, 0*n + 7 = -4*u - n for u. -3 Let l(o) = -o**3 + 3*o**2 + 3*o + 5. Let q be l(4). Let i be -2 - q - (-4 - -1). Solve i = z + 2*d - 5*d + 17, 0 = z - 4*d + 22 for z. -2 Let p(q) = -9*q - 3. Let b(r) = 8*r + 4. Let s(n) = -4*b(n) - 5*p(n). Let m be s(1). Solve -4*a = -2*t + m, -2*t - a + 2*a = -6 for t. 2 Let g(r) = r**2 + 2*r - 4. Let l be g(-4). Suppose 1 = -k - 2*j, -l*k - 3*j = j. Let t be 20/15 - k/3. Solve 0 = 5*a + 6*c - c - 10, -c = -t for a. 1 Let d = -30 - -37. Solve c - d = 2*m, -m - 4*c - 2 - 15 = 0 for m. -5 Let n(y) = 2*y**2 - 10*y + 2. Let m be n(5). Solve -2*c + m*t - 4 = 0, 3*c - 3*t = -t - 4 for c. 0 Suppose 15 = -11*s + 37. Solve -s*w + 2*c + 2 = -w, 5*c + 5 = -3*w for w. 0 Suppose 3 = 5*s - 4*s. Solve 0 = s*p + 3*n - 3, 0 = 3*p - 5*p - n + 1 for p. 0 Suppose 2*l = 2, -5 = h + l - 0*l. Let a(z) = z + 10. Let s be a(h). Solve 2*c - 2*y + s = 0, -7*y + 1 = 4*c - 2*y for c. -1 Suppose -8*c + 10*c = 10. Solve -4*p = -v + c, -p + 3*v + 4 = -3 for p. -2 Suppose 10 = 16*c - 14*c. Solve l + 4*f - 8*f = -20, 3*f + 8 = -c*l for l. -4 Let i = -5 - -10. Suppose -a - 10 = -5*s + 2, -i*a = -3*s + 16. Suppose -r + s = -2. Solve r*n + 12 = 4*d - 8, 0 = n + 5 for d. 0 Let g(j) = j**2 + 7*j + 3. Let d = 2 + -9. Let p be g(d). Let w be 1 - -2*p/6. Solve 0 = -4*m + 5*r - 5, -3*m + 3*r + w = 5 for m. 0 Let r be (-231)/(-9) + 2/6. Suppose -4 = -o + 4. Let w = o - 5. Solve -u + 7 = -w*c, -4*u + 5*c - 5 = -r for u. 4 Let k = 80 - 74. Solve -2*x = 2*x, -3*n = -2*x - k for n. 2 Suppose -2*b - 1 = -f - 2, 4*b = 20. Suppose -4*t + f = -t. Solve -4*z - 3*q + 6*q = 31, 0 = t*z + 2*q + 2 for z. -4 Let m = 11 + -9. Suppose -a - 6 = m*o, -8 = o - 3. Solve h + 3 = 8, -4*q - a*h = 0 for q. -5 Let o = 6 + -1. Let c = o + -8. Let t(a) = a + 3. Let n be t(c). Solve 3*d - 4*v + 6 = -n*v, 3*v = 2*d + 5 for d. 2 Suppose -10*f + 11*f - 25 = 0. Solve -f + 9 = -4*d - c, -41 = -5*d + 4*c for d. 5 Let t be (-3 + 3)*(-4)/16. Suppose -2*v + 3*v - 3 = t. Solve v*q = -4*d - 4, -2*d = d - 5*q + 3 for d. -1 Let c(t) = t**3 + 3*t**2 - 4*t + 1. Let a be c(-4). Solve 5*u - a = j, 2*j - 5*j = -2*u - 10 for j. 4 Suppose -9*w = -7*w - 10. Solve -2*z + 5*z + 23 = 2*d, -3*z + w*d = 35 for z. -5 Suppose 0 = 5*w + 2*r - 205, 270 - 65 = 5*w + r. Solve -9 = -4*z - 5*o, -5*o + w = -4*z - 0*z for z. -4 Let w(a) = -a**2 + 12*a - 10. Let x be w(7). Let k = -11 - -21. Let o = x - k. Solve 2*c + 10 = -3*f, 0*f = -3*f - 3*c - o for f. 0 Suppose -h - 1 = 2*j, 0*j + 4*h + 4 = -j. Solve j*l = -2*p - 3*l, 18 = 4*p - 3*l for p. 3 Suppose -4 = 2*i, -2*j + 2 = 4*i - 10. Let g = -7 + j. Solve 2 = -w, -g*m - m = -4*w - 16 for m. 2 Suppose 0 = 3*g + 5*d - 2*d - 3, -4*d - 32 = -5*g. Solve -2*w + 6 = 2*x, -16 = -g*w - x - 4*x for w. -1 Let r = -30 - -42. Suppose 4*h - 32 + r = 0. Solve -h*j + 3*f + 22 = -0*f, 2*j - 4*f - 6 = 0 for j. 5 Suppose 2*h = -2*h. Suppose -3*c = -h*c. Let y(u) = u**2 - 16. Let f be y(-5). Solve -3*o = -3*v - f, 3*v - 31 = -5*o - c*o for o. 5 Let b be 31/11 + (-2)/(-11). Solve 0 = -5*i - m, b*i = m - 4*m for i. 0 Let l(v) be the first derivative of v**2/2 + 4. Let t be l(4). Solve u - 1 = -4*a + 5, 6 = -2*a + t*u for a. 1 Let t = 116 + -112. Solve -t*s + 10*k - 16 = 5*k, -s - 15 = -4*k for s. 1 Let k be 5 + -4 - 2/1. Let p be 8/(-4)*-1 - k. Solve -3*q + p = 4*n - 0, 4*q = -5*n + 5 for n. -3 Let u(q) = 2*q**2 - 3*q - 1. Let i be u(-2). Let b = -5 + i. Suppose -b = -3*x + 1. Solve -2*k + 8 = x*f, -2*k - 3*k + 3 = -f for k. 1 Let z be (4*(-2)/(-20))/(10/50). Suppose 0 = -0*k - 4*k + 56. Solve -z*d = -4*x - k - 10, 3*d = x + 11 for d. 2 Let w = 10 + -5. Solve 4*y + 3*a + a = 4, -2*y = -w*a + 33 for y. -4 Let y = -4 - -7. Suppose -y*o = 1 - 7. Let m(g) = -2*g. Let f be m(-1). Solve h = -2*x + 3, -4*x + o - 16 = -f*h for h. 5 Suppose 0 = 6*q - 4*q, 4*q + 12 = 4*b. Solve 2*f + 1 = -w, -8*f - 10 = -b*f for w. 3 Suppose -3*f + 10 = -5. Solve 3*y + 2 = -2*s, f*s + 26 = 2*y + y for s. -4 Let u(t) = 1 + 3 - 14*t + 1 - 2. Let o be u(-3). Suppose i + 4*p - 15 = -0*p, 3*i = 3*p + o. Solve -i = 4*x - 3*s, -3*s - 2*s + 25 = -3*x for x. 0 Let o = 5 - 0. Let s = o - 3. Solve 5*a = -s*r + 9 + 8, 15 = 3*a for r. -4 Suppose -3*g + 2*g + 2 = -3*t, -4 = -3*t - 2*g. Let q be 3/(3/2 - t). Let x(i) = -i**2 + 5*i - 1. Let o be x(q). Solve o*r = -j - 30, -2*j - j = -3*r for r. -5 Let g(a) = a + 5. Let l = -1 - -5. Suppose -t + 16 = 3*t + 4*p, 4*t - p = -l. Let n be g(t). Solve -3*h = -2*s - 9, 12 = n*s - s for h. 5 Suppose h - 2 = 2. Solve 5*i - 5 = -5*b, h = 5*i + 19 for b. 4 Let z(m) = -m**2 + 8*m + 12. Suppose 5*q - 25 = -4*d - 0, -4*q + 2*d + 46 = 0. Let w be z(q). Solve w*b + 5 = -3*f + 2, -2*b + f + 10 = 0 for b. 3 Let y be ((-2)/3)/((-120)/(-63) - 2). Solve u = -4*o + 2*u + 21, 2*o + 3*u - y = 0 for o. 5 Let b(p) be the first derivative of -p**2/2 - 4*p + 1. Let o be b(6). Let v be (-9)/(-2)*o/(-3). Solve -5*s + 3*l + v = -2*l, 9 = -2*s - l for s. -2 Let t(f) = f**3 - 7*f**2 + 8*f - 10. Let n be t(6). Solve -2*s = 5*a + 5, 7*s - 2*a - n = 2*s for s. 0 Let g be (4/(-10))/((-5)/(-250)). Let p = 29 + g. Solve -m - 24 = 4*b, m + 10 = -3*b - p for b. -5 Let c = 16 + -10. Suppose -m + c*m = 0. Suppose -5*h = -m - 5. Solve -h = -4*d - l, 0*l + l - 1 = d for d. 0 Let n(i) = -i**2 - 3*i - 2. Suppose -a + 6 = -4*a. Let b be n(a). Solve 0 = -4*x - b*l + l + 9, 0 = 3*x - 2*l - 13 for x. 1 Suppose w + w - 4 = 0. Let j(s) = s + s**w - 2 - s - s. Let f be j(2). Solve -4*n + f*u + 4*u = -8, 5*n + 4*u = -8 for n. 0 Suppose -2*w - 4 = -3*w. Suppose -o - w*f = o - 10, -40 = -5*o + 5*f. Solve -4*s - 2*m = 8, -5*s + 2*m = o*m + 5 for s. -3 Suppose -4*a - 8 = 4*q, -3*q = -8*q - 4*a - 6. Solve 2*v = -u - 7, q = -5*
{ "pile_set_name": "DM Mathematics" }
osest to d? (a) n (b) 5 (c) 4 a Let z = 7/2 + -23/6. Let x = -1.3 - -0.3. Which is the closest to z? (a) x (b) 0.1 (c) -0.3 c Let i(r) = r**2 - 8*r + 9. Let d be i(6). Let x be (15/(-340))/((-3)/2). Let t = 71/102 - x. Which is the nearest to -1/4? (a) -1/3 (b) t (c) d a Let u be (-1)/(-3) + (1 - 2). Suppose 7*a + 8 = 1. What is the closest to a in 0.2, u, 2/5? u Let s = 72 + -358/5. Let z = -26/15 + 1/15. What is the closest to s in z, 4, 0.4? 0.4 Let q be 3/(63/(-2)) - 23/69. What is the closest to 1 in -6, -0.5, q? q Suppose 5*o + 3*m = 3*o + 10, 0 = o + m - 3. Which is the closest to o? (a) 9 (b) 0 (c) -1/2 c Let p = -0.8 - -0.8. Let q = -0.1 - p. Which is the nearest to -1? (a) 0.3 (b) q (c) 1/4 b Let o = -16 - -12. Let m(y) = -y + 1. Let g be m(1). What is the closest to g in -5, o, -2/5? -2/5 Let k be 5*((-4)/25)/(-2). Let s = 0.1 + 1.9. Let f = -3 + s. What is the closest to f in 0, k, 3? 0 Let q = 0.13 - 1.23. Let y = q + 1.2. Let o = -1 + 0. Which is the nearest to 0? (a) o (b) -3 (c) y c Let l = -0.01 + 4.01. Let s = 11 - 12. Let x = 0 - s. What is the nearest to -1 in x, -2, l? -2 Let m = 4.1 - -0.9. Let q = -7 + m. Which is the closest to 2? (a) -1 (b) q (c) -0.2 c Let j be (0 - (-8)/(-18))/2. Let m = 0.46 - 0.06. Which is the closest to m? (a) j (b) 1/2 (c) 0.2 b Let i = -2.6 - -0.6. Let l = 5 + -1. Suppose -l*d - 2 = -4*s - 14, -s = -3*d + 5. Which is the closest to d? (a) -3 (b) i (c) -4 b Let l = 1 - 0.9. Let y = -0.11 + -1.89. What is the nearest to y in l, -4, -0.4? -0.4 Let m = -1 + 1.01. Let i = m - -0.39. Suppose 8 = a + a + 4*s, 2*a = s - 7. What is the nearest to a in 1/4, -0.5, i? -0.5 Let q = 0.5 - 0.3. Let h be (-2)/(-4) - (-2)/(-20). Let b be 1/(2 + (-6)/(-4)). What is the closest to b in h, q, 3? q Let k = 7 - 10. Let g = -13 - -15. Which is the nearest to -0.1? (a) k (b) 0.5 (c) g b Suppose -4*c + c + 4 = 4*b, -b = 5*c + 16. Let x = 2.57 - 2.37. What is the closest to -4 in 0.4, x, b? x Let c(z) = z**3 - 5*z**2 + 4*z - 5. Let g be c(4). Let t = -2 - -3. Let s = t + -0.9. What is the closest to -1/3 in g, -3, s? s Let f = 2.6 - 21.6. Let v = f - -19. Let z = -5 + 3. Which is the nearest to v? (a) z (b) -2/15 (c) -5/6 b Let z = 0.1 - 1.1. Let u = z + 0.95. Let a = u - 4.95. What is the nearest to 0 in 3/2, 1/5, a? 1/5 Let v = 0.06 + -1.06. Let u = -10 + 15. Which is the closest to v? (a) -0.2 (b) 3/7 (c) u a Let n be -1 + 2 + 3/9 + -1. Let g = -0.2 + 0.3. What is the closest to -1/2 in n, -2, g? g Suppose -4*q = 5*x + 1 - 6, -3*q - 3*x = 0. Suppose -3*h = -4*i - i, i = h. Let d be 6/(-2 + (0 - h)). What is the closest to -1/3 in q, -1/4, d? -1/4 Let z = 4.2 - 0.2. Let h = -43/3 + 14. Which is the nearest to h? (a) -2 (b) -1 (c) z b Suppose 17 = 4*n + 1. Let z = 110 - 110. Let c = -0.3 + 0.1. What is the nearest to z in c, n, -0.4? c Let g = -0.39 - -0.09. What is the nearest to -0.1 in g, 3/4, -21/4? g Let u = -39 + 44. Which is the nearest to -2? (a) 2 (b) u (c) 0 c Let l be (0 - -2)/((-10)/(-20)). Let u = 11.1 - 11. Which is the nearest to u? (a) 0.4 (b) -3 (c) l a Let g = 7 + -5. Let x = -2 + g. Which is the nearest to x? (a) 0 (b) -2/7 (c) -1 a Let t(f) = 8*f - 3. Let l be t(3). Let j be -1 + l/15 - 1. Suppose 2*y + 4 = 5*c, 3*y - 5*c = -4 - 2. What is the nearest to y in -1, 2, j? -1 Let o(y) = y + 4. Let t be o(-7). Let j = t + 10. Let r be 3/j - (-2 + 2). What is the closest to 1 in -5, 4, r? r Suppose -37 = -4*k - 2*h + 5*h, 5*k - 46 = 4*h. Suppose -5 - k = 5*s. Let j(y) = -4*y - 4. Let t be j(-2). Which is the closest to 0.1? (a) s (b) 2 (c) t b Let a = -8 + 12. Let v = -0.1 + 0. What is the closest to 1 in -5, a, v? v Suppose 2*f + 14 = j, 0*f + 7 = -2*j - 3*f. Suppose -j*d + 4*i + 36 = -0*i, -4*d = 5*i. Which is the closest to -0.2? (a) -1 (b) 1/6 (c) d b Suppose -2*o + 6 + 4 = 0. Which is the closest to 1/2? (a) 3 (b) 0.2 (c) o b Let b = 0.6 + -1. What is the nearest to -0.1 in b, -2/3, 2/11? 2/11 Let t = -91 - -453/5. What is the nearest to t in 1/6, 2/5, -1/2? -1/2 Let g = 5.1 - 0.1. Suppose 0 = -3*q - 3*n + 22 + 20, -3*n = 5*q - 66. Suppose 4*h - 2*r - q = 0, -8 = -7*h + 4*h + 2*r. What is the closest to -1/4 in h, g, 3? 3 Let v = -0.02 - 0.58. Let i = v + 0.2. Let c = -11 + 14. What is the nearest to -0.2 in 2/11, i, c? i Let j = -14 + 14. Which is the closest to -2/9? (a) -1/4 (b) -3/5 (c) j a Let g be ((-10)/10)/(1/1). What is the closest to -5 in g, 3, -0.4? g Let o = 12 + -20. Let n be (-9)/15 + o/(-5). Which is the closest to n? (a) -0.2 (b) 0.1 (c) -2/11 b Let i = -1.6 + 1.8. Let x = 0 + 1. What is the closest to x in 4, i, 3/5? 3/5 Let l be 1*0*(-2)/(-2). Let w(i) = -i**2 - 6*i. Let a be w(6). Let d = -218/3 - a. What is the closest to -1/4 in -1/4, d, l? -1/4 Let j = -83 - -83. Let f be (-2)/3 + 104/84. Which is the nearest to j? (a) f (b) 2 (c) 4 a Let k = -1.3 - -1.4. What is the nearest to 0.06 in 4/9, k, -4? k Let y = 0 - -5. Let p(v) = v**2 - 6*v + 3. Let a be p(y). Let n be (-6)/10*a/6. What is the closest to 1/2 in -1, 4, n? n Let c = -40 - -20. Let v = c - -20. Let w = -2 - -7. What is the closest to -1 in w, -0.2, v? -0.2 Let p = 0 + -0.4. Let g = 0 - -0.1. Which is the nearest to g? (a) -0.2 (b) p (c) 4 a Let r = -5.7 - -6. Let v = 3.98 - -0.02. Let m = -1.2 + 1.1. What is the closest to -2/7 in m, v, r? m Let y = -0.078 - 3.922. What is the closest to -1 in y, -1, -2/9? -1 Let o = 481/6 - 80. What is the closest to -1 in o, 2, 5/7? o Let s = -24.1 + 24. What is the nearest to -0.2 in 4, s, 1? s Let l = -268/9 + 30. Which is the closest to -1? (a) l (b) -0.1 (c) 2 b Let q = -0.25 + 0.3. Let d = 0.55 - q. Which is the closest to -1? (a) -2 (b) 5 (c) d a Let q = 9 - 13. Let c be (-1)/(-1)*(-2)/7. What is the closest to 1 in c, -2/3, q? c Let o = 4/21 - -10/21. Let r = -2 + 2.2. What is the closest to 1/2 in r, o, -4? o Let y be (2 - 3) + 4 + -3. Which is the nearest to -1/4? (a) y (b) -3 (c) -2/5 c Let j = -146/3 + 1600/33. Let x = 0 - j. Which is the nearest to 2? (a) -0.3 (b) 5 (c) x c Let x(f) = f**3 + 6*f**2 + 3*f - 3. Let j be x(-4). Let q = 16 - j. What is the nearest to q in -3, 0.3, -4? 0.3 Let o = -57.9 - -58. What is the closest to o in -1/4, -2, 1? -1/4 Let w be (-1 - 0) + 15/9. Let b = 7.4 + -3.4. What is the closest to w in 2, b, -0.4? -0.4 Let v = -0.3 - -0.1. Let n be -2*(-16)/12 + -2. Which is the nearest to n? (a) v (b) -3 (c) 2/3 c Let q be (4/5)/((-3)/(-15)). Suppose -h + q = 3*h. Let j be (3 - h)*4/(-40). What is the closest to 1 in j, 0.3, -1? 0.3 Let a = 1114/9 + -124. What is the closest to 1/4 in 4, a, -5? a Let p = 53.01 + -53. What is the nearest to -2/3 in p, -2/9, 2/7? -2/9 Let g = -1311/11 - -119. Which is the closest to 1/3? (a) -0.2 (b) 2 (c) g c Let s be (-1)/(-12) + 3/12. Which is the nearest to -1? (a) s (b) 4 (c) -3 a Suppose 2*o - 13 + 3 = 0. Let z be 2/24 - 2/(-8). Let v = -47 - -44. What is the nearest to z in v, 1, o? 1 Suppose -5*g + 8 = -7. Let o be 68/66 - (-3 + 4). Let l = o + 8/99. Which is the closest to -0.1? (a) 4 (b) l (c) g b Let h = -0.3 + 0.3. Suppose -5*n + 10*n - p - 3 = 0, 4*n + 4*p = 12. What is the nearest to h in -2/9, 0.2, n? 0.2 Let z = -1511/15 - -298/3. Which is the nearest to 1/2? (a) -2/9 (b) 3 (c) z a Let l = -1 - 0. Let z = -0.03 + 0.03. Which is the nearest to 0.1? (a) l (b) z (c) 1 b Let h = 0 + 0. Let s = h + -2. Let p be (-7)/98*(4 + 0). What is the closest to 0.1 in 2/5, p, s? 2/5 Let y = -0.7 + 0.3. What is the nearest to -1/3 in -2, y, -0.2? y Let i(h) = -h**3 - 2*h**2 - 3*h - 4. Let r be i(-3). Let y be -2 + 0 + r/5. Let s be ((-8)/21)/((-4)/6). Which is the closest to -0.2? (a) s (b) y (c) 3 a Let l = -1.1 - -1.2. Let j = 3.2 - 3. Which is the closest to j? (a) -0.5 (b) 4 (c) l c Suppose n + 4*n - 5 = 0. Let v = -0.2 + 3.7. Let d = 3 - v. Which is the nearest to n? (a) 3 (b) d (c) 0.2 c Let s(w) = -w**3 + 11*w**2 - w + 7. Let l be s(11). Let x = l - 0. What is the nearest to 1/3 in 5/4, 1/4, x? 1/4 Let s = 1.3 + -1.5. Let x = 2.03 + -0.03. Which is the nearest to 1? (a) x (b) -1/2 (c) s a Let s be 3*(4 + (-1)/1). Let w be (-4)/10 - s/(-15). Let j = -1.2 - -0.2. Which is the nearest to 1/4? (a) w
{ "pile_set_name": "DM Mathematics" }
6000 Let o = -0.22 - -0.2. Let q = 0.288 + -0.26824. Let b = o + q. Round b to 4 dps. -0.0002 Let q = -100.8 - -125. Round q to the nearest ten. 20 Suppose -3 = 5*a + w, 2*w - 6 = -5*a + 4*w. Suppose 0 = -a*h - h + 11000. What is h rounded to the nearest 10000? 10000 Let f be ((-250)/(-3))/((-4)/(-3504)). What is f rounded to the nearest ten thousand? 70000 Let q = -213 - -58. Let t = q - -259. Let n = -104.079 + t. What is n rounded to two dps? -0.08 Let o = -24 - 4. Suppose -192 + 42 = -3*d. Let b be (o/(-5))/((-1)/d). What is b rounded to the nearest 100? -300 Let w be 14/4*(0 - -2). Let d = w - 3. Suppose -f - 3*i = f - 45988, f = d*i + 23016. Round f to the nearest ten thousand. 20000 Let l = -50896 + -3804. What is l rounded to the nearest 10000? -50000 Let q = 17563 + -9790. Suppose 2*n - q - 104227 = 0. What is n rounded to the nearest ten thousand? 60000 Let l(j) = 292785*j - 141265*j + 53407*j + 506185*j + 8. Let w be l(-9). Round w to the nearest one million. -6000000 Let w = 59583.0090078 + -59583. Let x = w + -0.009. Round x to six dps. 0.000008 Suppose 2586972 = b - 1334561. Let l = b - 6921533. Round l to the nearest 1000000. -3000000 Let i = 45.99999909 + -46. Round i to seven dps. -0.0000009 Let q = 0.8 + -0.772. Let c = 0.014 + q. Round c to two dps. 0.04 Let w = -0.062 - -36.062. Let n = 43.568991 + -79.569037. Let t = w + n. What is t rounded to 5 decimal places? -0.00005 Let v = 13 - 8.2. Let u = 5 - v. Let k = u - 3.6. What is k rounded to 0 decimal places? -3 Suppose -66867 = -2*t + 179515. Suppose t = -4*d - 196809. What is d rounded to the nearest one hundred thousand? -100000 Let i = 0.281 + -0.26. Let w = -0.094 - i. Let j = 0.705 + w. What is j rounded to 1 decimal place? 0.6 Let f = -471212 - -241039. Let n = f + 139173. What is n rounded to the nearest ten thousand? -90000 Let k(z) = -7*z**3 + 5*z**2 - 13*z - 5. Let u be k(-9). Let l = 820 - u. What is l rounded to the nearest one thousand? -5000 Let v = -1.86563 - -1.87. Round v to three dps. 0.004 Let z be ((-10880)/3)/(2/(-750)). What is z rounded to the nearest one hundred thousand? 1400000 Suppose 3*w = 7*w. Suppose -4*m - 3 - 13 = -2*j, 4*j - 5*m - 26 = w. Suppose 5694 = j*y - 5906. What is y rounded to the nearest one thousand? 3000 Suppose 2*s = 2*y + 5939998, s + 2177738 = -2*y - 3762263. What is y rounded to the nearest one hundred thousand? -3000000 Suppose 0*n + 10000 = n. Suppose 2*b - 3*b = n. Round b to the nearest one hundred thousand. 0 Let d = -0.03 - -0.33. Let w = -434.84009 + 434.54. Let i = d + w. What is i rounded to five decimal places? -0.00009 Let s(x) = 4481*x**3 - x**2 - 4. Let b be 6/9 - (-44)/(-12). Let g be s(b). What is g rounded to the nearest ten thousand? -120000 Let j(u) = u**3 + 4*u**2 - 5*u + 2. Let d be j(-5). Suppose 0 = d*q + q + 567. Let s = 67 + q. What is s rounded to the nearest 10? -120 Suppose -4*j + 3*j - 180 = 0. What is j rounded to the nearest 100? -200 Let y = 2.3 + -5.7. Let r = -4 - y. Round r to 1 dp. -0.6 Let h = 3852766 + -3852759.00000032. Let q = h + -7. What is q rounded to seven dps? -0.0000003 Let y = -1.98 + -1.53. Let o = y + 3.50999781. Round o to seven dps. -0.0000022 Let s(k) = 2*k**3 - 4*k**2 - 6*k + 5. Let w be s(4). Let i = -455 - w. Round i to the nearest one thousand. -1000 Let d = -23.005 - -23. What is d rounded to two decimal places? -0.01 Let p = 7.930419 - 7.93. What is p rounded to 5 decimal places? 0.00042 Let o = 6.944 + -7. Let q = 72.056 + o. Let l = q - 72.0000039. Round l to 6 dps. -0.000004 Let a = 340 - 176. Suppose -a = -4*n + 1116. Round n to the nearest one hundred. 300 Let o(h) = 227275*h**3 - 2*h**2 + 3*h + 4. Let c be o(3). Suppose -5075019 - 4242881 = -5*w. Suppose -w = -5*d + c. Round d to the nearest 1000000. 2000000 Let b(r) = r**2 - r - 4. Let w be b(3). Let x(n) = -1287*n**3 - n**2 + n - 2. Let v be x(w). Round v to the nearest one thousand. -10000 Let u = -2118 - -2258.29. Let y = -141 + u. Let z = y - -0.3. Round z to 1 decimal place. -0.4 Let p = -2.5345 + -43.5035. Let b = p + 46. Let h = b + 0.038122. What is h rounded to five dps? 0.00012 Let f = -143354 + 75354. What is f rounded to the nearest 10000? -70000 Let g be ((-2)/(-5))/((-4)/40). Let i be (-199995)/(-10) + (-2)/g. Round i to the nearest ten thousand. 20000 Let f = 17852453 - 8538675. Let x = f - 1713778. What is x rounded to the nearest one million? 8000000 Let q = -0.6 - 0.65. Let j = q - 50.75. Let m = j + 56.8. Round m to the nearest integer. 5 Let u = -6 - 0. Let w = u + 6.0009. What is w rounded to three decimal places? 0.001 Let z be -2*3/(-6)*-7. What is z rounded to the nearest integer? -7 Let a = -6 - -5.984. Let y = a + 0.0160184. What is y rounded to six decimal places? 0.000018 Let f = 0.02 + -15.02. Let v = f - -14.3. Let t = v + 0.72. Round t to 2 decimal places. 0.02 Let d = 0.052 + 3.648. Round d to zero decimal places. 4 Let f = -70.99937 + 71. Round f to 4 decimal places. 0.0006 Let t = -33 - -48. Let l be (-58 + 1)*(-50)/t. Round l to the nearest one hundred. 200 Let r be (18050 + 2 - -1) + -1. Let y = r + -28552. Round y to the nearest one thousand. -11000 Let j be (25000/75)/((-2)/4140). Round j to the nearest 100000. -700000 Let t = 3.22 + -2.8. Round t to 1 dp. 0.4 Suppose -5*x = f + 321975, -4*f + 3*x - 1288005 = 2*x. Round f to the nearest ten thousand. -320000 Let p = -0.2 - 0.3. Let b = -0.4 - p. Let v = b - 5.8. Round v to the nearest integer. -6 Suppose -d = -5*i + 7 + 17, -3*i + 2*d = -13. Let s(l) = 2 - 7 - 11068*l - 6931*l. Let r be s(i). Round r to the nearest 100000. -100000 Let y be (-6)/(-33) - (-5280002)/(-11). Round y to the nearest one hundred thousand. -500000 Let v = 13139 + 1552. Suppose -o + 31297 = -v. Suppose 2*z - 23058 = -h + 22948, 4*z + o = h. What is h rounded to the nearest ten thousand? 50000 Suppose 0 = -0*h + h. Suppose -5*t + 4*k = -26797 + 8667, k = h. Suppose 0 = -3*r - t + 19826. What is r rounded to the nearest 1000? 5000 Suppose h - 4*h + 5*n + 30620 = 0, -2*h = -5*n - 20420. Suppose -21*p + h = -19*p. What is p rounded to the nearest one thousand? 5000 Let w = -3.61 - 25.29. Let o = -20 + -6. Let a = w - o. What is a rounded to 0 dps? -3 Suppose -g + 32707 = -3*j + 1682708, 3*j - 1649997 = -3*g. Round j to the nearest 100000. 600000 Let h = 1.3 - -1.28. Round h to 1 decimal place. 2.6 Let j = 15 - 26. Let h = -48.6 + 59.619. Let i = j + h. What is i rounded to 2 decimal places? 0.02 Let p(i) = 6*i**3 - 1. Let r be p(1). Suppose -5*o - 402006 = -v + 413089, -1630165 = -2*v + r*o. Suppose 4*l - 1584930 = v. Round l to the nearest 1000000. 1000000 Let f = -20982593511204208 - -20982593744159384.30000029. Let h = f + -232955174. Let g = 2.3 - h. What is g rounded to seven dps? -0.0000003 Let t = -25 - -35.78. Let j = t - 0.68. Let g = -10.09899 + j. Round g to 4 decimal places. 0.001 Let x be 2/(-3) + 1448/(-6). Let b = 682 + x. What is b rounded to the nearest 100? 400 Let r be 6/24*-3 - (-9606)/8. What is r rounded to the nearest one hundred? 1200 Let d(i) = i + 7. Let p be d(0). Let v be (-4)/(-6) - p/(-3). Suppose -v*z + 16101 + 583899 = 0. What is z rounded to the nearest one million? 0 Let c = 0.0363 + 2.7537. Round c to 1 decimal place. 2.8 Let o(l) be the second derivative of -2101*l**4/12 + 5*l**3/3 - 7*l. Let d be o(10). Round d to the nearest 100000. -200000 Suppose 5*j + 10 = -0*j. Let w be (-21250)/(2*j/(-1280)). Round w to the nearest one million. -7000000 Let q(d) = 7*d**3 - 13*d**2 - 3*d - 1. Let m be q(-9). Round m to the nearest one thousand. -6000 Let d = -352111 - -107111. Round d to the nearest one hundred thousand. -200000 Let k = -26 + 25.999997. What is k rounded to five decimal places? 0 Let x = -155 + 155.000101. Round x to five dps. 0.0001 Let t = -7 - -7.6. Let x = 11 - 11.5. Let c = t + x. Round c to 1 dp. 0.1 Suppose -2*w + 8250 + 21347 = 3*v, 3*w + 4*v = 44396. What is w rounded to the nearest 1000? 15000 Let b = -0.005 + -0.01. Let g = 0.09 + -0.15. Let v = g - b. What is v rounded to two decimal places? -0.05 Let t = -532663.899986 - -532663. Let v = t - -0.9. What is v rounded to five dps? 0.00001 Let n be -2 - (-1 - -55)/3. Let o be 8/n*1*5. Let i be o/7 - (-1680006)/21. Round i to the nearest 100000. 100
{ "pile_set_name": "DM Mathematics" }
0, -4? n Let g be 39/(-36) + 4/12. What is the nearest to 0.1 in -3, 0, g? 0 Let m = -0.87 - 0.13. Which is the closest to m? (a) 1/3 (b) 1 (c) 2/17 c Let s = -153 + 152. What is the nearest to -4 in -0.2, -0.4, s? s Let i = 27.547 - 0.047. Let d = -27 + i. Let x = 0.4 + -0.2. Which is the nearest to x? (a) -2/5 (b) d (c) 1/4 c Suppose 5*o - 24 = -4*b, b - 14 = -b - 3*o. Let y be 24/(-30) - 38/(-35). Let p be (-2 - -1) + 3/(-1). What is the closest to p in y, b, -5? -5 Let z be (-2)/30*-3*-2. Suppose -3*j - 2*j - 10 = 0. What is the nearest to -2/7 in j, z, 1? z Let m = 0.025 - 0.425. Which is the closest to -1? (a) 10 (b) m (c) 3 b Let m = 0.57 + 0.43. What is the nearest to m in 1/12, -2/3, -5? 1/12 Let k be (2/(-6))/(5/885). Let h = -123/2 - k. Which is the closest to -0.1? (a) 2/7 (b) h (c) 4 a Let q = 1.6 - 2.6. What is the nearest to 1/4 in q, 2, 3? q Suppose 0 = 4*y + 2 + 18. Let h = -7 - -6. Which is the nearest to 0.1? (a) -3 (b) h (c) y b Let w = -9.4 - -9.1. Which is the closest to 0? (a) -8 (b) -1 (c) w c Let x = -41 + 42. Which is the closest to x? (a) -1/9 (b) -0.1 (c) 1/2 c Let l be (28/21)/(1/6). Suppose -3*i + l = -i. What is the closest to -2/5 in -1/11, i, -0.4? -0.4 Let s = 20.9 - 21. Which is the closest to s? (a) 2/3 (b) 1 (c) 2/9 c Let w(d) = d**3 + d**2 - 4*d - 3. Let l be w(-2). Let h = -8 - -13. What is the closest to l in 4/7, h, -0.2? 4/7 Let n be (0 - -1) + (-4 - 2). What is the nearest to -2/5 in -1, n, -2? -1 Let c = -0.37 + -1.63. What is the closest to -1/8 in c, 5, -2/5? -2/5 Let g = -3 + 2. Let o be (-2*6/(-9))/(-1). Which is the nearest to g? (a) o (b) 5 (c) -2 a Let h be 75/140 - 2/7. Let b = 1 - -2. Let v(t) = -t**2 + 3*t - 4. Let g be v(b). What is the closest to 1 in g, h, -2/7? h Let d(q) = -q + 4. Let n be 24/14 - (-4)/14. Let p be d(n). Suppose -5*v = -p*f + 13, -f + 2 = -5*v - 12. Which is the closest to f? (a) -0.2 (b) 5/4 (c) -2 a Suppose 3*v = 6*v - 6. What is the closest to -1 in -2/5, 1/5, v? -2/5 Let o = 69 - 208/3. Let j = 8.3 - -1.7. Let m = 15 - j. Which is the nearest to o? (a) 0.5 (b) m (c) -0.2 c Suppose -3*d - 3 + 0 = 0. Let t be ((-1)/d)/(1/(-3)). Which is the closest to -1? (a) 2/3 (b) t (c) 0.1 c Let t be (-5)/4 - (-5)/10. Let q = 14 + -14.1. Which is the nearest to q? (a) -1 (b) -1/7 (c) t b Let p be (-1)/(-7)*4*5/20. Let j = -0.04 + -5.56. Let w = -6 - j. What is the nearest to -0.1 in w, p, -0.2? -0.2 Let x = 83 + -83.1. Let s = -0.3 - -0.5. Which is the nearest to x? (a) s (b) -7 (c) -4 a Let g = 2.4 + -2.3. What is the closest to 0.1 in -3, 2, g? g Let m = 0.014 + -6.214. Let d = m + 6. Let k = 5/6 - 7/6. Which is the closest to k? (a) 0.1 (b) d (c) -5 b Let x be 2/(-4)*6/7. Which is the nearest to 3? (a) x (b) 3 (c) -3 b Let z = 0.07 - -0.03. Which is the closest to -1? (a) 0.4 (b) z (c) 2 b Let a = -3 + 17/5. What is the nearest to 12 in 3, -0.2, a? 3 Let w = -13 - -15. Let b be 2/(-7) + (-8)/(-77). Let r = 5 + -9. What is the closest to w in r, b, 0.2? 0.2 Let s be (1 + -1)/(-4 + 6). What is the closest to s in 0.5, -5, 0.3? 0.3 Let s = -69 - -70. What is the nearest to -2/5 in s, -1, -5? -1 Let c = 11 - 4. Let j = c - 8. Let w = 0.1 - 0.5. What is the closest to j in 1/5, -5/2, w? w Let f = -139 - -975/7. Let q = 3.2 - 3. Let s = 0 + q. Which is the nearest to -0.1? (a) s (b) -1 (c) f a Let p(h) = -h**2 + 6*h - 1. Let x be p(6). Let g = 15 + -7. Let w = g + -11. Which is the nearest to x? (a) -0.4 (b) -1 (c) w b Let t be 1/2 + 1/(-4). Let l = 12 - 10. What is the nearest to l in t, -3, 5? t Let t = 7.02 + -7. Let y = -0.02 + t. Let n = -7 + 7. Which is the closest to n? (a) 0.1 (b) 0.2 (c) y c Let d = -32 + 31.8. Let y = -6.02 - -0.02. Let u = y - -9. Which is the closest to 1? (a) -4 (b) d (c) u b Suppose 4*p - 3*y + 13 - 28 = 0, -5*y = -2*p + 11. Let k be -3 - (-117)/21 - p. Let h = -1 - -2. What is the nearest to h in -0.5, 0.4, k? 0.4 Let i = -8.1 + 8. What is the nearest to i in 1, 5, -1? -1 Let l = 49 + -45. Which is the nearest to -1.9? (a) 2/5 (b) l (c) -2 c Let i = -244/1957 + 2/103. Let k = -2.97 - 0.03. Let o = k + 4. What is the nearest to o in 2/9, -1/3, i? 2/9 Let j = -32 - -17. Let v = j - -10. Which is the nearest to -1? (a) -4 (b) -0.5 (c) v b Let h = 57 + -58. What is the nearest to h in -4, 3/7, -0.2? -0.2 Let l = -58.8 + 54.73. Let w = l + 0.07. Let a be (((-6)/(-4))/(-3))/(-1). What is the closest to -1 in w, a, -3? a Let n = 4 + -3. Let y = 9.2 - 9. Let w = 4 + -9. What is the closest to n in 0.3, w, y? 0.3 Let o = 2.11 + -3.24. Let m = 0.13 + o. What is the nearest to 0.1 in -2, m, -5? m Let f = 1.5 - 1. Let o = 0 - f. Let h = 0.4 + o. Which is the closest to h? (a) -2 (b) 0 (c) -4 b Let p(h) = -2*h**3 + 5*h**2 - h + 9. Let g be p(4). Which is the nearest to g? (a) 3 (b) -5 (c) -4 b Let w = -13 - -13.4. What is the closest to -1 in -2, w, -2/7? -2/7 Let q = 3 - 2.8. Let g = -0.261 + 0.761. Which is the nearest to 2? (a) g (b) q (c) -2/3 a Let p = -43 - -49. Which is the nearest to -0.2? (a) p (b) 1/6 (c) 5/3 b Let y = -0.9 + 1.9. Let n = y - 0. What is the closest to n in 0, 1, 0.2? 1 Let p be (-12)/105 + (-2)/(-5). Let h = 4.377 + -0.377. Let y = 50 + -152/3. What is the nearest to y in p, 0.2, h? 0.2 Let p be 7/(-2) + (-3)/(-1). What is the nearest to p in 0.4, 0, 1/8? 0 Let i = 1.7 + -1.8. What is the nearest to i in 5, 1, -5? 1 Let z = -55 + 221/4. Suppose v = 3 - 0. Which is the nearest to 0.1? (a) 0.1 (b) v (c) z a Let g = 973 - 972.9. Let o(v) = v**2 - v - 1. Let t be o(3). What is the closest to g in 0, -1/5, t? 0 Let r = -8 + 14. Let f = -35.2 + 29. Let y = r + f. Which is the closest to 0? (a) y (b) 0.4 (c) -2/9 a Let g(i) = -i + 2. Let s be g(3). Which is the nearest to s? (a) 0.7 (b) 3/4 (c) -1 c Let x be ((-12)/8)/(30/(-8)). Let z be 26 + -22 + (-3)/(-4)*-2. What is the nearest to -1 in x, 4/7, z? x Let u = -1 + 0. Let d be ((2/(-6))/(-1))/u. Let j = -0.6 - 3.4. What is the closest to d in -0.4, -5, j? -0.4 Let o = -1.16 + 0.66. Let x = 1.2 - 1. Which is the closest to 1? (a) x (b) -0.3 (c) o a Let y be 4 - (-204)/(-54) - (-8)/126. Suppose -2*a + 95 = -a. Let r = 857/9 - a. What is the nearest to y in 0.3, r, -1? 0.3 Let l be 1/(10/8 - 2). Let n(p) = -p + 12. Let g be n(10). Let b = 8 + -6. What is the nearest to b in l, g, -1? g Let z be (-32)/(-15) - (2 + 0). Which is the closest to 0? (a) 5/3 (b) -1/2 (c) z c Suppose -4*k + 0 = 24. Let d = -13/2 - k. What is the closest to d in -0.3, 2, 2/3? -0.3 Let z = -11 + 15. Suppose 2*u - 2*q = -u + 6, 0 = z*u - q - 3. Which is the closest to 0.1? (a) 2/23 (b) u (c) 2/5 a Let q = -6.08 - -0.08. What is the closest to 1/3 in 4, -0.4, q? -0.4 Let f = -1 - -1. Let i = -41/155 + 2/31. Which is the closest to 0.1? (a) f (b) -0.5 (c) i a Let u = 0.3 + -1.3. What is the closest to u in 5, 1.3, -1? -1 Let x = 16/85 - 10/17. Which is the closest to -0.1? (a) -2 (b) x (c) 3 b Let m = 2/5 + -1. Which is the closest to -0.1? (a) -6/7 (b) m (c) -0.03 c Let c = 10.04 + -0.04. Let t = c + -11. Let a = 2.3 + -2. What is the closest to -0.1 in a, t, 0? 0 Let f = 4.34 + -0.34. What is the closest to -1.1 in f, -2/11, 1? -2/11 Let q = 16 - 17.4. Let r = q - -0.9. What is the nearest to 2 in -1, 2, r? 2 Let d = 1.5 + -3.5. Which is the nearest to d? (a) 0.5 (b) -0.2 (c) 5 b Let x = 131 + -118.2. Let s = -13 + x. Which is the nearest to s? (a) -2/19 (b) 0.5 (c) -4 a Let l = -0.5 - -0.3. Let a = 3.2 + l. Let h = 127 - 128. What is the nearest to h in a, -0.5, -6? -0.5 Let s = 0.092 - 1.092. What is the closest to -14 in s, -0.1, -0.3? s Let p be 0 - (-2 - (-3)/9). Let h = 0.09 + -0.49. Which is the closest to -0.1? (a) p (b) h (c) 1 b Let s be 2/3*3*1. Let v(x) = 2*x**2 + 0 - x**s + x + 3*x - 4. Let h be v(-4). Which is the closest to 0? (a) h (b) 0 (c) -5 b Let v = -1.1 - -1.6. Let b = 0.14 - 2.04. Let i = 2 + b. What is the closest to i in v, 0.1, 0.4? 0.1 Let j be 145/140 - 6/8. Which is the closest to j? (a) -12 (b) 4 (c) -3 c Let d = 0.04 + -0.14. Which is the closest to 0? (a) 0 (b) 2 (c) d a Let p = 3.1996 - 0.0476. Let r = -0.052 + p. Let z = -3 + r. What is the nearest to z in 0, 4
{ "pile_set_name": "DM Mathematics" }
d by 1053 4/1053 12 divided by -25 -12/25 Calculate 117 divided by -6. -39/2 Divide 30 by 18. 5/3 What is 4 divided by -194? -2/97 What is -13 divided by 5? -13/5 Divide -279 by 93. -3 Divide -32 by -42. 16/21 Calculate 0 divided by -1. 0 Divide -270 by -3. 90 0 divided by 326 0 Divide 35 by 4. 35/4 13552 divided by 8 1694 Calculate -1 divided by -53. 1/53 Calculate 0 divided by 325. 0 What is -47 divided by -1? 47 What is -15144 divided by -6? 2524 2220 divided by -15 -148 What is -155 divided by 31? -5 Calculate -5 divided by -65. 1/13 What is -15 divided by -3? 5 Calculate -5 divided by 14. -5/14 Calculate -260 divided by -5. 52 Divide 45 by -15. -3 What is -263 divided by -4? 263/4 Calculate 2093 divided by -5. -2093/5 Calculate 83 divided by -1. -83 Divide 82 by 22. 41/11 Divide -5206 by -4. 2603/2 Calculate -482 divided by -20. 241/10 What is 0 divided by -73? 0 -23 divided by -476 23/476 77 divided by -7 -11 What is 66 divided by -11? -6 Divide 5544 by 4. 1386 Calculate -43 divided by 5. -43/5 What is 3721 divided by -3? -3721/3 Calculate 4 divided by -6. -2/3 Calculate -4 divided by -77. 4/77 What is 3942 divided by -1314? -3 7 divided by 7 1 -14526 divided by 9 -1614 Divide 21020 by -5. -4204 What is -1148 divided by 164? -7 0 divided by 181 0 Divide 4 by 21. 4/21 What is 30356 divided by 4? 7589 Calculate -3810 divided by 6. -635 Calculate 1436 divided by 1. 1436 Divide 4680 by -6. -780 Calculate -345 divided by -69. 5 Divide 61 by -11. -61/11 -28 divided by 2 -14 -10653 divided by 5 -10653/5 Calculate -512 divided by -128. 4 -37 divided by 11 -37/11 Calculate 44 divided by 4. 11 What is 171 divided by 34? 171/34 What is -2073 divided by 691? -3 Calculate -5 divided by 265. -1/53 Calculate 1 divided by -72. -1/72 Calculate -59 divided by -59. 1 -23 divided by 94 -23/94 Calculate 249 divided by -5. -249/5 170 divided by 34 5 -2 divided by -2623 2/2623 3 divided by 163 3/163 Divide -8385 by 2. -8385/2 -927 divided by -103 9 What is -196 divided by -28? 7 10 divided by -60 -1/6 Calculate 19 divided by 1. 19 275 divided by 17 275/17 Calculate -408 divided by 8. -51 Calculate -711 divided by 1. -711 What is 3 divided by -9? -1/3 What is 1577 divided by 83? 19 Divide 12549 by 3. 4183 Calculate -29 divided by 52. -29/52 -120 divided by 15 -8 300 divided by 75 4 What is 324 divided by 162? 2 What is -271 divided by 3? -271/3 -12852 divided by -68 189 Divide 837 by 3. 279 Divide 21798 by 18. 1211 What is -3 divided by 57? -1/19 Calculate 10 divided by -6. -5/3 What is 5 divided by -201? -5/201 47 divided by 203 47/203 Divide -1079 by 19. -1079/19 What is -295 divided by -1? 295 Calculate -192 divided by -32. 6 Calculate -224 divided by -3. 224/3 Divide -1 by 622. -1/622 What is 15 divided by -6? -5/2 What is -16483 divided by -2? 16483/2 Calculate 5 divided by -18. -5/18 1 divided by -70 -1/70 Calculate 4674 divided by -779. -6 What is 24210 divided by 15? 1614 What is -5 divided by -22? 5/22 What is -4 divided by 50? -2/25 -136 divided by 68 -2 What is 140 divided by -35? -4 -2288 divided by 286 -8 What is -7 divided by 1947? -7/1947 7 divided by 1273 7/1273 26 divided by 22 13/11 Divide -3 by 1. -3 What is 30 divided by -15? -2 Divide -3918 by 1. -3918 -285 divided by 6 -95/2 Divide 36 by 4. 9 Divide -1704 by 4. -426 Divide -2 by -2174. 1/1087 What is 14 divided by 382? 7/191 Calculate 17556 divided by -8778. -2 Divide -2 by 103. -2/103 What is 0 divided by -115? 0 -14886 divided by -2 7443 481 divided by 4 481/4 Calculate 8172 divided by -2. -4086 Calculate -245 divided by 20. -49/4 What is -4 divided by 3616? -1/904 What is -2 divided by -115? 2/115 Calculate -764 divided by -10. 382/5 -362 divided by -2 181 Divide 114 by -57. -2 What is 404 divided by 10? 202/5 Divide 2790 by 1. 2790 -13 divided by 164 -13/164 What is -1308 divided by -2? 654 Calculate 2004 divided by -6. -334 What is 59 divided by 5? 59/5 Calculate -36 divided by -312. 3/26 What is 0 divided by -3789? 0 Calculate 352 divided by 88. 4 What is 7044 divided by 2? 3522 What is -144 divided by 6? -24 What is 0 divided by 52? 0 11440 divided by 88 130 What is -127 divided by -6? 127/6 Calculate 409 divided by 1. 409 Calculate 5 divided by -32. -5/32 Divide 42 by 4. 21/2 Calculate 17 divided by -1. -17 76 divided by 6 38/3 -836 divided by -19 44 Divide -7 by -7. 1 1 divided by 17 1/17 What is -92 divided by -3? 92/3 Divide 656 by -164. -4 1653 divided by -87 -19 -2 divided by -556 1/278 Divide -803 by 73. -11 What is -23 divided by 1? -23 Calculate -924 divided by -154. 6 Calculate 2384 divided by -596. -4 Divide -7 by 303. -7/303 4113 divided by -5 -4113/5 What is 1 divided by -393? -1/393 Calculate -3924 divided by -9. 436 Divide 0 by -612. 0 Divide 134 by -15. -134/15 -5 divided by 52 -5/52 Divide 66 by 22. 3 What is 4440 divided by 888? 5 Divide 14862 by 3. 4954 Divide 2 by -27. -2/27 Calculate 51 divided by 35. 51/35 Divide 1200 by 240. 5 What is 3904 divided by 64? 61 What is 749 divided by -6? -749/6 Calculate 85 divided by -17. -5 0 divided by 323 0 Calculate -23 divided by -16. 23/16 Divide 0 by -204. 0 Divide -12 by 4. -3 What is 10708 divided by -4? -2677 Calculate 3376 divided by 4. 844 What is 1550 divided by 1550? 1 Divide -171 by -14. 171/14 Calculate -2770 divided by -1. 2770 What is -4394 divided by 26? -169 What is 4 divided by -47? -4/47 Divide 2 by 147. 2/147 -2840 divided by -6 1420/3 Calculate 2 divided by -735. -2/735 Divide 7 by 21. 1/3 What is -59 divided by -2? 59/2 Calculate 1136 divided by 142. 8 What is -432 divided by 48? -9 What is -196 divided by -28? 7 What is -264 divided by 24? -11 Divide 41 by -6. -41/6 Calculate 2058 divided by -343. -6 Calculate 0 divided by 171. 0 Divide -21 by -109. 21/109 What is -95 divided by 4? -95/4 What is -2930 divided by 2? -1465 What is 0 divided by -288? 0 9 divided by -789 -3/263 Divide -4 by 1486. -2/743 Divide 7162 by 3581. 2 Divide -8 by -37. 8/37 What is 58 divided by -93? -58/93 0 divided by -85 0 What is -1350 divided by 5? -270 What is 16 divided by -24? -2/3 1050 divided by -150 -7 Calculate -6 divided by 229. -6/229 Calculate -4 divided by -166. 2/83 Divide 5 by 51. 5/51 Calculate 924 divided by 154. 6 -3885 divided by 105 -37 What is 3140 divided by 4? 785 What is -25010 divided by -5? 5002 Divide 530 by 8. 265/4 0 divided by -5 0 Divide -3 by 2. -3/2 Calculate -206 divided by 4. -103/2 Calculate -34 divided by 34. -1 Divide -4 by -7. 4/7 Divide 4 by 29. 4/29 What is 2 divided by -124? -1/62 Divide -98 by -11. 98/11 Calculate -4 divided by -48. 1/12 -148 divided by 58 -74/29 Divide 47 by -9. -47/9 Calculate 170 divided by 170. 1 255 divided by -85 -3 What is -204 divided by 34? -6 Calculate 612 divided by 102. 6 Calculate 728 divided by 2. 364 Calculate 3 divided by 1. 3 Calculate -537 divided by -7. 537/7 -9140 divided by 2 -4570 3696 divided by -16 -231 Divide -101 by 30. -101/30 Calculate -296 divided by 148. -2 Calculate -1056 divided by -96. 11 What is -1892 divided by 4? -473 Calculate -15 divided by 2. -15/2 What is -72 divided by -9? 8 Calculate 6 divided by -51. -2/17 What is 136 divided by -5? -136/5 Divide -24 by -74. 12/37 Calculate 271 divided by -2. -271/2 Calculate -2289 divided by 763. -3 What is 56 divided by -4? -14 Divide 138 by -69. -2 -72 divided by 36 -2 Calculate -10768 divided by -2692. 4 -903 divided by 5 -903/5 Calculate 7329 divided by 2. 7329/2 Calculate 34 divided by -7. -34/7 Calculate 10068 divided by -2. -5034 3 divided by -121 -3/121 21 divided by 17 21/17 Divide 3330 by 555. 6 Calculate -88 divided by -22. 4 -10 divided by 136 -5/68 Calculate 64 divided by -2. -32 Divide 4 by 125. 4/125 What is 103 divided by 1? 103 Calculate 430 divided by -86. -5 -2 divided by -292 1/146 Divide 56 by 14. 4 -4 divided by 6047 -4/6047 What is -2242 divided by 6? -1121/3 Calculate -4242 divided by -6. 707 Divide -1810 by 1810. -1 Divide 182 by 14. 13 What is -12519 divided by 6? -4173/2 What is -11 divided by 310? -11/310 1512 divided by -18 -84 -122 divided by 6 -61/3 Divide -6090 by -203. 30 Divide -7 by -985. 7/985 Divide -187 by -2. 187/2 44 divided by -48 -11/12 What is -37 divided by -342? 37/342 Calculate -2 divided by -501. 2/501 Divide -672 by 9. -224/3 What is -130 divi
{ "pile_set_name": "DM Mathematics" }
List the prime factors of g(-19). 11, 23 Let q(r) = 5*r + 36. Let t be 2/3*(-105)/(-10). List the prime factors of q(t). 71 Let i(p) = 3*p + 9. Let k(h) = h**2 - h + 5. Let m be k(0). What are the prime factors of i(m)? 2, 3 Suppose 3*f + 156 = 2*u, 306 = 4*u + f - 4*f. Suppose u = 5*t - 2*w + 7*w, 5*t - 69 = -2*w. List the prime factors of t. 13 Let j(m) = -2*m**3 + m**2 + 37. Let a be j(0). Suppose -r + a = -21. List the prime factors of r. 2, 29 Suppose -25 = 3*s - 4. Suppose 4*h = t + 38, h = -5*t + 1 - 2. Let w = h + s. List the prime factors of w. 2 Suppose 6*r - 65 = -5*n + r, 32 = 3*n - 4*r. Suppose 0 = n*p - 15*p + 243. List the prime factors of p. 3 Suppose 146*d = 149*d - 105. Suppose 7*s + 2*y = 2*s + 14, -5 = -5*s - 5*y. Suppose d + s = a. List the prime factors of a. 3, 13 Suppose -9*d = -3*d - 3954. List the prime factors of d. 659 Suppose 8*g - 2170 = 8582. What are the prime factors of g? 2, 3, 7 List the prime factors of (1 - 2)/((-11 + 4)/37093). 7, 757 What are the prime factors of (-1020)/40*(-16)/3? 2, 17 Suppose 3*q + 15 = 3*y, 0 = 3*y - 4*y - 5*q - 1. What are the prime factors of (y/3)/(13/1521)? 2, 3, 13 Let p(i) = -i**2 - 2*i + 5. Let t be p(-4). Let z(j) = -j**3 + 2*j**2 + 5*j + 5. List the prime factors of z(t). 5, 7 Suppose -4*x - 4*p + 2086 = -1322, 5*x = -2*p + 4263. What are the prime factors of x? 853 Suppose -u - 35 + 17 = 0. What are the prime factors of (u/(-12))/((-2)/(-64))? 2, 3 Let w be 54/(-4)*8/(-6). Let m = w - -42. What are the prime factors of m? 2, 3, 5 Suppose o - 2*n = 6*o - 2230, -892 = -2*o - 5*n. What are the prime factors of o? 2, 223 Let s be -2 - 4*(-44)/8. Let k = -12 + s. Suppose -k + 3 = -j. List the prime factors of j. 5 Let g = 18 + 8. Let j = g + -26. Suppose j = -5*m - 7 + 247. List the prime factors of m. 2, 3 Let g be 1/(-1) + (11 - 4). Let a be (-24)/((-2)/(g - 2)). Let c = a + -19. What are the prime factors of c? 29 Let q(s) = -21*s**3 + 12*s**2 + 41*s + 5. List the prime factors of q(-6). 29, 163 What are the prime factors of (68 - 70)*3*-47? 2, 3, 47 Let h(g) = g**2 + 10*g - 6. Let p be h(-11). Suppose 5*n = -5, 0*k = -k - 4*n + 60. Suppose p*o = 146 + k. List the prime factors of o. 2, 3, 7 Let k = -134 + 790. List the prime factors of k. 2, 41 Let m(w) = 34*w**2 + 19*w + 57. What are the prime factors of m(-4)? 3, 5, 7 Suppose 495 = 3*n - 48. Suppose 5*b = 3*q + 228, -5*b = -b - q - n. What are the prime factors of b? 3, 5 Let q be (0 - (-25)/(-20))*-36. What are the prime factors of (30/q)/((-2)/(-225))? 3, 5 Let c(k) = 9*k + 20. Let b be c(-6). Let f = 37 + b. Suppose -f*s + 226 = 40. What are the prime factors of s? 2, 31 Let k be 15/(-3)*(-60 - 0). Suppose -f - 4*g = -4*f + 15, -5*g = -3*f + 15. Suppose f*r = -r + k. List the prime factors of r. 2, 5 Let i = 1149 - 255. What are the prime factors of i? 2, 3, 149 Let a(h) = -7*h - 8. Suppose -4*m - 19 = -3. Let i be 1/(1*m/24). List the prime factors of a(i). 2, 17 Suppose 615 = 3*j - 3*a - 129, 5*a + 987 = 4*j. List the prime factors of j. 11, 23 Let a(z) = -3*z - 3. Let y be a(-1). Suppose y = -n, n = -m - 2*n + 45. List the prime factors of m. 3, 5 Suppose 0*n + 5*p = -n + 48, 112 = 4*n + 4*p. Let d(u) = 9*u - 40. List the prime factors of d(n). 167 Let i(b) = -b**2 + b + 12. Let z be i(6). Let k = 21 + z. List the prime factors of 6*((-3)/(-1) + k). 2, 3 Suppose -3*m = -4*j - 38, m - 4*j - 26 = -8. What are the prime factors of ((-24)/m)/((-33)/15 + 2)? 2, 3 What are the prime factors of (-10612)/(-20) + (-9)/15? 2, 5, 53 Suppose 4*o + 230 = 1178. Let m = o - 118. What are the prime factors of m? 7, 17 Suppose 11 = -3*b - 10. Let i be (-2)/b + (-132)/(-77). Suppose 102 = i*c + c. What are the prime factors of c? 2, 17 Let k = 389 - 132. Suppose 3*a + 236 = -y + 638, -2*a + k = -3*y. What are the prime factors of a? 7, 19 Let w(x) = x**2 + x + 7. Suppose -80 = z - 9*z. List the prime factors of w(z). 3, 13 Let k = -89 + 344. List the prime factors of k. 3, 5, 17 Let x(b) = 27*b**2 - 17*b + 8. List the prime factors of x(-6). 2, 541 Let w be ((6 - 5)/(-1))/((-3)/390). Suppose 17 - 2 = 5*o. Suppose 0 = -8*u + o*u + w. What are the prime factors of u? 2, 13 Suppose 104 = -2*u - y + 661, 5*u - 2*y = 1388. What are the prime factors of u? 2, 139 Suppose 2*g + 3*l = -l - 2, 0 = -3*g + 4*l - 33. Let k be (5 + g)*5/(-2). Suppose 1 + k = v. What are the prime factors of v? 2, 3 Suppose 29*d = 36*d - 4382. List the prime factors of d. 2, 313 Let a(r) = 4*r**2 + 2*r + 2. Let g be a(3). Let v = g + 34. Let c = 128 - v. List the prime factors of c. 2, 5 Suppose -11*j = -8*j - 714. Suppose 1 + 5 = 3*a, -p = a - j. List the prime factors of p. 2, 59 Suppose 4*f - 1287 = f + 2*q, 0 = 2*f - q - 857. Suppose -f = -4*j + 2*j + 3*w, -3*j + 2*w + 648 = 0. What are the prime factors of j? 2, 109 Let a be -2 + 1 - (-275 + -1). Let y = -179 + a. What are the prime factors of y? 2, 3 Let f(t) = 41*t - 7. Let v be f(1). Let s = v - -52. What are the prime factors of s? 2, 43 Let i(r) = -r**2 - r - 49. Let l be i(0). Let q = l + 98. What are the prime factors of q? 7 Let u(q) = -q**3 - 6*q + 1599. List the prime factors of u(0). 3, 13, 41 Suppose -l + 4*n = 6, l + 2*n - 8 = -n. What are the prime factors of 26/195 + 2323/15 + l? 157 Suppose 2*k - 7*k = -10. Suppose -a + 6*a = w + 98, 38 = k*a - w. List the prime factors of a. 2, 5 Let v(h) = -h - 10. Let n be v(-13). Suppose c = -2, 0 = -0*p + 3*p + n*c - 249. What are the prime factors of p? 5, 17 Suppose 0 = -d + 5 - 1, s = -4*d + 50. Suppose -35*k + s*k = -113. List the prime factors of k. 113 Let w(b) = 147*b - 92. List the prime factors of w(11). 5, 61 Let y = 27 + -27. Suppose y*f + 66 = 2*f. Suppose -f = -2*t + 13. What are the prime factors of t? 23 Suppose 2*g - 1212 = 4*x - 6*x, -5*x = -4*g + 2406. List the prime factors of g. 2, 151 Let j(o) = 417*o**2 - 6*o - 6. What are the prime factors of j(-2)? 2, 3, 31 Let n = -112 + 59. Suppose 4*g + 3 = -13, -361 = -3*s + g. Let f = n + s. What are the prime factors of f? 2, 3, 11 Suppose 3*u = -3*u + 12. Suppose 3*c = -0*s - 3*s + 69, u*c = 10. What are the prime factors of s? 2, 3 Suppose -2*l = 3*j - 2*j - 227, l + 3*j = 101. What are the prime factors of l? 2, 29 Suppose 4*t + 9 = -4*s + 3*s, 4*t - 24 = -4*s. Let i(y) = 7*y - 15. Let z be i(s). Let b = z + -13. What are the prime factors of b? 7 Let k = -787 - -1443. What are the prime factors of k? 2, 41 Suppose 5*n - 6351 = -0*n - 2*f, -4*n = -2*f - 5088. What are the prime factors of n? 31, 41 Suppose -1 - 14 = -5*j. Suppose j*z = 4*o + o + 19, 0 = 2*z - 3*o - 12. List the prime factors of (15/(-10))/(z/(-20)). 2, 5 Suppose -3*h + 0*h + 96 = 0. List the prime factors of h - (3 + -3)/1. 2 Suppose -3*b + 20 = b. Suppose x = b*x - 120. What are the prime factors of x? 2, 3, 5 Suppose w + 4*w - 2*z - 25 = 0, -z = 0. Suppose 3*r - n - 264 = 6, 3*r - w*n - 258 = 0. List the prime factors of r. 7, 13 Let g(x) be the first derivative of -x**4/4 - 7*x**3/3 - x**2 - 4*x - 2. Let z be 945/(-133) + 2/19. List the prime factors of g(z). 2, 5 What are the prime factors of 80104/30 - ((-559)/195 - -3)? 2, 3, 5, 89 Let z(v) = -v**3 + 11*v**2 - 9*v - 3. Let r be z(10). Let w = 1 - 2. Let y = r - w. List the prime factors of y. 2 Suppose -w + 1698 - 610 = -4*k, -4*w = -k - 4397. List the prime factors of w. 2, 5, 11 Let k(y) be the second derivative of y**4/12 + 2*y**3 - 13*y**2/2 - 22*y. What are the prime factors of k(9)? 2, 11 Let q(i) = 38*i**2 - 9*i - 62. List the prime factors of q(8). 2, 3, 383 Let p = -42 - -684. What are the prime factors of p? 2, 3, 107 Let h = -867 + 1781. List the prime factors of h. 2, 457 Suppose -37 = -3*n - 5*o, 6*n - 2*o - 6 = 2*n. Suppose n + 14 = 3*b. List the prime factors of b. 2, 3 Let q be ((-9)/6)/((-3)/6). Suppose -d = -v + 4, -q*v = 3*d - 4*d - 22. What are the prime factors of (7 - v) + 3*3? 7 Let u(x) = -54*x - 24. Let m be (-45)/(-6)*-4*(-4)/(-24). What are the prime factors of u(m)? 2, 3, 41 Suppose -9*g = -4*g. Let q(b) be the first derivative of -b**3/3 + 28*b - 1. List the prime factors of q(g). 2, 7 What are the prime factors of 2 - (-2 - (1 + 236))? 241 Suppose 2739 = i - 5*m, 5*i - 3*m - 13755 = 2*m. List the prime factors of i. 2, 3, 17 Suppose
{ "pile_set_name": "DM Mathematics" }
third derivative of w(u) wrt u. -600*u**2 Suppose -4*k + 12 = -k. What is the second derivative of -7*u**3 - k*u**5 + 5*u**3 + 2*u**3 + 8*u wrt u? -80*u**3 Let s(z) = -2094*z**3 + 93*z + 11. Let f(w) = -419*w**3 + 19*w + 2. Let x(m) = -11*f(m) + 2*s(m). What is the second derivative of x(d) wrt d? 2526*d Suppose -11*d = -7*d - 12. Let f be 3 - (d/1)/3. Find the third derivative of -10*w**2 - w**6 + 0*w**6 + 13*w**f - 2*w**6 wrt w. -360*w**3 Suppose 0*i = 5*i - 70. What is the first derivative of 9 + i - 13 - m**3 wrt m? -3*m**2 Let u(k) = -k**4 - k**2 + k + 4. Let l(r) = 618*r**4 + 3*r**2 - 247*r - 12. Let y(j) = -l(j) - 3*u(j). Find the second derivative of y(g) wrt g. -7380*g**2 Suppose -5*u - s + 15 = 4*s, -u + 2*s - 6 = 0. Suppose u = 5*z - 4 - 6. What is the third derivative of 0*q**2 - 4*q**2 + z*q**6 - q**2 wrt q? 240*q**3 Let d(x) be the first derivative of -487*x**3/3 - 172*x**2 + 2*x - 444. What is the second derivative of d(u) wrt u? -974 Let j(t) be the third derivative of 0 + 0*t + 0*t**6 - 3/56*t**8 + 0*t**3 + 5/12*t**4 + 0*t**7 - 19*t**2 + 0*t**5. Find the second derivative of j(g) wrt g. -360*g**3 Let d(h) = -h**2 - 14*h - 21. Let j be d(-9). What is the third derivative of -132 + 132 - 7*g**4 - 3*g**2 + j*g**4 wrt g? 408*g Let t = 79/87 - 7/29. Let k(y) be the second derivative of 0*y**2 + 2*y + 0*y**5 - 1/15*y**6 + 0 + t*y**3 + 0*y**4. What is the second derivative of k(a) wrt a? -24*a**2 Differentiate -10*y**4 + 6*y**4 - 12*y**4 + 6*y**3 - 4 + 4 + 11 with respect to y. -64*y**3 + 18*y**2 Let n(t) = 3*t - 1. Let g(a) = 438*a - 510. Let l(d) = -g(d) + 18*n(d). Differentiate l(m) with respect to m. -384 What is the third derivative of -218*z**5 + 218*z**5 - 202*z**6 + 204*z**2 wrt z? -24240*z**3 Let o(g) be the third derivative of -g**6/4 + 7*g**4/6 + g**3/3 - g**2 + 8. Find the second derivative of o(f) wrt f. -180*f Let o(p) = 137*p**2 - 39*p - 9. Let r(k) = -2*k**2 - k - 2. Let q(v) = o(v) - 4*r(v). What is the second derivative of q(s) wrt s? 290 Let l(x) be the first derivative of 0*x**4 + 0*x + 24/5*x**5 - 7*x**2 + 0*x**3 - 13. Find the second derivative of l(z) wrt z. 288*z**2 Let h(l) = -l**3 + 2*l. Suppose -7*g + 2*p = -3*g + 10, 3*g + 9 = 3*p. Let r be h(g). Differentiate 3*s**2 - 1 - 6*s**2 + r with respect to s. -6*s Let g = 135/34 + -25/17. Let c(p) be the first derivative of g*p**2 + 0*p**4 + 0*p**3 - 12 + 0*p + 6/5*p**5. What is the second derivative of c(m) wrt m? 72*m**2 What is the derivative of -23*d - 80 + d - 40*d wrt d? -62 Let l(c) be the third derivative of 5*c**8/336 + 5*c**4/8 + 84*c**2. Find the second derivative of l(h) wrt h. 100*h**3 What is the second derivative of -56 + 299*d**4 - 67 - 2*d + 133 wrt d? 3588*d**2 Let i = -1869 + 2826. Differentiate -957*p + i*p + 9*p**4 - 12 with respect to p. 36*p**3 Let t(l) be the second derivative of -3*l**5/20 + 8*l**3/3 - 219*l**2 - 85*l. Differentiate t(m) with respect to m. -9*m**2 + 16 Let p(o) be the first derivative of 5*o**3/2 + 10*o**2 - 10*o - 6. Let j(k) be the first derivative of p(k). Find the first derivative of j(r) wrt r. 15 Let i(l) = -2. Suppose -2*b = -0 - 4. Let s(n) = 3*n - 3 - b - 1 - 2. Let g(r) = 6*i(r) - 2*s(r). Differentiate g(y) with respect to y. -6 Suppose 2*m = -0*m - 16. Let y be (2/(-4))/(m/64). Find the second derivative of -2*j**3 + 7*j - 4*j**4 + 2*j**3 + j**y wrt j. -36*j**2 Let u = -26 + 33. Let z = u + -5. What is the second derivative of -z*g + 7*g + 5*g**3 - g + 7*g wrt g? 30*g Let j = 30 - 27. What is the third derivative of -2*f**3 - 3*f**3 + 8*f**2 - f**3 + 4*f**j wrt f? -12 Let s(c) be the second derivative of 23*c**6/2 + 81*c**3/2 - 183*c. What is the second derivative of s(a) wrt a? 4140*a**2 Let w(p) be the second derivative of -13*p**7/840 + p**4/2 - p**3/3 - 16*p. Let u(n) be the second derivative of w(n). Differentiate u(g) wrt g. -39*g**2 Let k(t) be the second derivative of -71*t**3/6 - 55*t**2/2 - 8*t + 1. Differentiate k(i) wrt i. -71 Let m(a) be the third derivative of 17*a**6/120 + a**5/30 - 65*a**4/8 + 163*a**2. What is the second derivative of m(f) wrt f? 102*f + 4 Let o(r) = 709*r**4 - 794*r**2 + 4. Let d(t) = 2837*t**4 - 3177*t**2 + 15. Let h(l) = -4*d(l) + 15*o(l). What is the third derivative of h(a) wrt a? -17112*a Let c(l) = 299*l**3 + 93*l**2 - 2*l - 5. Let p(f) = -449*f**3 - 140*f**2 + 3*f + 8. Let t(g) = -8*c(g) - 5*p(g). What is the third derivative of t(x) wrt x? -882 What is the second derivative of -6*f**2 - 7*f**2 - 3*f - 74*f + 5*f**3 - 5*f**2 + 9*f**2 wrt f? 30*f - 18 Let f(a) = -24*a - 58. Suppose 7*d = 21 - 42. Let m(t) = 12*t + 29. Let h(q) = d*f(q) - 5*m(q). Find the first derivative of h(g) wrt g. 12 Let w(m) = 5*m**2. Let j be w(-1). Let o(t) = -16*t + 43. Let g(d) = 11*d - 29. Let i(r) = j*o(r) + 7*g(r). Differentiate i(p) wrt p. -3 Let c be ((-9)/(-12) + -1)*(-156)/13. Let d(a) be the first derivative of 0*a**2 - 6/5*a**5 - 10*a - 4 + 0*a**4 + 0*a**c. Differentiate d(s) with respect to s. -24*s**3 Let t(a) be the second derivative of a**5 - 11/6*a**4 + 0*a**3 + 0 + 0*a**2 - 20*a. What is the third derivative of t(s) wrt s? 120 Let o(n) = -603*n**2 + 534*n + 4. Let g(x) = 1809*x**2 - 1598*x - 14. Let h(u) = -2*g(u) - 7*o(u). Find the second derivative of h(d) wrt d. 1206 What is the third derivative of 10*v**3 + 6 + v**3 - 11*v**3 - 94*v**5 - 2*v**2 wrt v? -5640*v**2 Let i(k) be the first derivative of k**5/60 + 5*k**3/3 + 2*k**2 + 5. Let y(z) be the second derivative of i(z). What is the derivative of y(m) wrt m? 2*m Let s(o) = -23*o**5 - 12*o**3 + 14*o**2. Let q(p) = -24*p**5 - 14*p**3 + 15*p**2. Let b(z) = -6*q(z) + 7*s(z). Find the third derivative of b(v) wrt v. -1020*v**2 Find the second derivative of -22*r**3 - 13*r - 4*r**2 - 139*r**4 + 18*r - 1 + 49*r**3 - 27*r**3 wrt r. -1668*r**2 - 8 Suppose -2*z - 4*s - 5 = -z, -2*z + 5*s = -29. Differentiate 4 + z + 4 - 9*v + 5 with respect to v. -9 Suppose 3 = m - 1. Find the third derivative of 2*y**4 + y**4 - 7*y**2 - y**4 + 8*y**m wrt y. 240*y What is the second derivative of -92 - 4*y**4 - 14*y**3 + 94 + 5*y**4 - 35*y**3 - 85*y wrt y? 12*y**2 - 294*y Let q(i) = 734*i**2 + 188*i + 6. Let v(w) = 7*w**2 + w - 2. Let x(b) = -q(b) - 3*v(b). What is the second derivative of x(d) wrt d? -1510 Suppose 0 = 4*t - 8*t + o + 9, -2*o = -3*t + 3. What is the second derivative of 28*q - 9*q**t - 37*q + 26*q wrt q? -54*q Suppose 4*n - 9 = p, -5*n - 4*p - 2 = -8. What is the third derivative of 495*z**4 - 528*z**4 - 19*z**n + 6*z**2 wrt z? -792*z Let v(i) = -45*i**2 - 30*i + 7. Let r(k) = -5*k**2 + 1 - 10*k**2 - 10*k + 1 + 0. Let h(b) = -7*r(b) + 2*v(b). Find the second derivative of h(n) wrt n. 30 Let j(u) be the second derivative of 139*u**4/12 + 139*u**2 + 923*u. Differentiate j(s) wrt s. 278*s Let r(n) be the third derivative of -19*n**6/40 - 106*n**3/3 - 516*n**2. Differentiate r(t) wrt t. -171*t**2 Let k be (2/(-4))/(5/(-20)). Differentiate -3*o**2 - 12*o**2 + 1 - 3 - k with respect to o. -30*o Let l(m) = -4*m - 16. Let c(b) = b - 11. Let q be c(12). Let t(p) = -1. Let r(h) = q*l(h) + 2*t(h). What is the first derivative of r(x) wrt x? -4 Let j(v) = v**3 + v**2 - 1. Let p(a) = 2*a**4 - 18*a**3 + 17*a**2 - 5. Let y(h) = -5*j(h) + p(h). Find the third derivative of y(t) wrt t. 48*t - 138 Suppose d + 0*t + 2 = -2*t, -2*t = -5*d - 22. Let b be (6/(-15))/(d/240). What is the second derivative of 49*f - b*f - 27*f + 5*f**4 wrt f? 60*f**2 Let t(w) be the third derivative of 0 + 29*w**2 + 0*w**5 + 0*w**7 + 0*w**3 + 0*w + 0*w**6 + 5/168*w**8 - 1/8*w**4. What is the second derivative of t(r) wrt r? 200*r**3 Let w(j) = -3 - 5*j**2 + 3*j**2 + j**3 + 0*j**2 + 4. Let v be w(2). Find the first derivative of -4*d + 2*d - 1 + 11 - v wrt d. -2 Suppose 0 = j + 2*j - 12, 5*j = -2*l + 24. Find the third derivative of n**2 - n**2 - 23*n**3 - n**l + 2*n**2 wrt n. -138 Let h(q) = -161*q + 188. Let l(i) = 80*i - 95. Let o(b) = -3*h(b) - 5*l(b). What is the derivative of o(a) wrt a? 83 Suppose 23 - 7 = 4*k. What is the second derivative of -16*l**k + 2*l**4 - 16*l + 3*l**4 - 5*l**4 wrt l? -192*l**2 Let q(d) be the second derivative of d**9/168 - d**5/12 - 17*d**2/2 + 15*d. Let v(l) be the first derivative of q(l). Find the third derivative of v(s) wrt s. 360*s
{ "pile_set_name": "DM Mathematics" }
j**3 + 2*j**3 + 3*j**3. -22*j**3 Expand (-4*o**2 + 5*o**2 - 3*o**2)*(38 - 38 - 5*o). 10*o**3 Expand 41 - 41 - 11*r - 1 + 1 + r + (-1 - 2 + 1)*(4*r - 2*r - r). -12*r Expand (0*l + 0*l - l**4)*(3 + 2 - 4). -l**4 Expand -t**5 - 21*t**5 + 0*t**5 + (3*t - 2*t - 3*t)*(-2*t**4 + 2*t**4 + 2*t**4) - 4*t**5 + 0*t**5 + 6*t**5 + 2*t**3 - 2*t**3 + t**5. -23*t**5 Expand (j**4 + 0*j**4 + 2*j**4)*(0 + 2 - 1) - 3*j**4 + 4*j**4 + 3*j**4. 7*j**4 Expand (0*l**2 - 5 - 4*l**2 + 7)*(4 + 0 - 3). -4*l**2 + 2 Expand (2*r**2 - 6*r**2 + r**2)*(-2 + 1 + 0) + (-1 + 2*r + 1)*(4*r - 4*r + 4*r). 11*r**2 Expand (5*w**4 + 0*w**4 - 2*w**4)*(-w + 4*w - 5*w) + (3*w**3 + 11*w - 11*w)*((-w + 2 - 2)*(-w + 3*w - 4*w) + 4*w**2 - 2*w**2 + 0*w**2). 6*w**5 Expand (-5*n**2 + 2*n**2 + 2*n**2)*(-n**3 - 3 - 2 + 2). n**5 + 3*n**2 Expand (-16*u**2 + 9*u**2 - 12*u**2)*(7*u**2 - u**2 - 3*u**2) + (-u**2 - 3 + 3)*(3*u + 2*u**2 - 3*u) + 2*u**4 + u**4 - 4*u**4. -60*u**4 Expand -h + h + h + (4 - 4 - 2*h)*(6 - 1 - 3) - h - 2*h + 5*h + 6*h - 2*h + h - h + 5*h - 7*h. h Expand (1 - 2 + 2)*(-1 + 2 + 0)*(9 - 9 + 4*p**3) - 2*p**3 + 4*p**3 + 0*p**3. 6*p**3 Expand (1 - 2 - 1)*(0*k**3 - k**3 - k**3) + k**3 - k**3 + 2*k**3 + k**3 - k**3 - k**3. 5*k**3 Expand (-2*a + 2*a - a)*(-a + a - 2*a) - 6*a**2 + 9*a**2 + a**2 + (-2*a + 2 - 2)*(-5 - a + 5). 8*a**2 Expand (0*p**2 + 0*p**2 - 1 + 2*p**2)*(-2*p**2 + 15*p**2 + 18*p**2). 62*p**4 - 31*p**2 Expand (3*w**2 - 3*w**2 + w**2)*((-3 + 2*w + 3)*(-1 + 6 - 3) + 3 - 3 + w + 2 - 2*w - 2). 3*w**3 Expand (0*j + 8*j + j)*(-j + j - j). -9*j**2 Expand (10*y - 7*y - 10*y)*(-3 + 0 + 2)*(-3*y + 5*y - y). 7*y**2 Expand (-v + 2 - 2)*(0 - 1 + 0) + (7 + 5 - 7)*(0 + 2*v + 0). 11*v Expand (16 - 7*j**2 - 16)*(j**2 - 2*j**2 - 2*j**2 + (2*j + 3*j - 6*j)*(0 + j + 0) - 4*j**2 - 3*j**2 + 4*j**2). 49*j**4 Expand (-u + 4*u - 2*u)*(3 + 5 + 4) + (0 + 1 + 1)*(-3*u + 0*u + 4*u) + 0*u - 2*u + u. 13*u Expand ((u + 3*u - 3*u)*(-1 + 3 - 1) + 0 + 7*u + 0)*(2 + 3*u**4 + 0*u**4 - u**4). 16*u**5 + 16*u Expand (-a + a - a - 1 + a + 1 + (-5 + 5 - 2)*(a - 3*a + 0*a))*(4 + 0 + 1). 20*a Expand (2*r + 0 + 0)*(22 + 15 - 80 - 77). -240*r Expand (0 - 5 + 1)*(-r**2 - 2*r + 2*r) - 2*r**2 - 3 + 3 - 3. 2*r**2 - 3 Expand (2*r + 6*r + 0*r)*(0*r + 0*r + r**2). 8*r**3 Expand -23*n**5 - 2*n**2 + 3*n**2 + 22*n**5 - n**5 + 3*n**5 - n**5 - n + 2*n**5 + n + (-2*n + 2*n - 2*n)*(-4*n**2 - 2*n**4 + 4*n**2). 6*n**5 + n**2 Expand 3 + 2*o**2 - 3 + (2*o - o + o)*(-2*o + o + 4*o). 8*o**2 Expand (-1 + 0 + 3)*(-381*g + 242*g + 189*g) + (3*g - g + 0*g)*(-3 + 0 + 5). 104*g Expand -1 + 18*k - 18*k + k**2 + (6 - 3 - 1)*(-2*k**2 + k**2 + 2*k**2) + 4*k + 3*k**2 - 4*k + 2*k**2 - 1 + 1. 8*k**2 - 1 Expand (3*y**2 + 0*y**2 - 2*y**2)*(0 + 2 - 3) - y**2 - y**2 + 3*y**2 + (4*y - 6*y + 0*y)*(-2*y - 3*y + 3*y). 4*y**2 Expand (1 - 1 - 2*o)*(-2*o + 3*o + o) + 2*o**2 + 3*o**2 - 3*o**2 + (5*o - 4*o + 0*o)*(3*o - 3*o + o) + 3 + 2*o**2 - 3. o**2 Expand l**3 + l**3 + 0*l**3 - 6*l**4 + (-l**2 - 2*l + 2*l)*(0*l**2 + 3*l**2 - 4*l**2). -5*l**4 + 2*l**3 Expand (-60*r - 14*r + 2*r)*(-2*r + 0*r + r). 72*r**2 Expand (w - w - 2*w)*(0*w - 2*w + 4*w)*(-w**2 + 2*w**2 + 0*w**2) + 0*w**4 + 0*w**4 - w**4 + (-3*w + 3*w + w)*(2*w**3 - 3*w**3 + 2*w**3) + 14*w - 4*w**4 - 14*w. -8*w**4 Expand (-3 - 3*d + 3)*(-2 + 1 + 3)*(2 + 0 - 7). 30*d Expand (-2 + b + 2)*(-2*b - 2*b + 3*b) + 2 - 2 - 2*b**2 - b**2 + 1 - 1 - 2*b**2 - 3*b**2 + 4*b**2 - 8*b**2 + 12*b**2 + 11*b**2. 10*b**2 Expand (-7*s + 2*s + 3*s)*(-5 + 10 + 3) + (1 - 3 + 0)*(-2*s - 2 + 2). -12*s Expand ((3*m + 0*m - 2*m)*(-2 - 1 + 2) - 3 - m + 3 + m - 2*m - 6*m)*(-3 + m**4 + 0 + 2). -9*m**5 + 9*m Expand (-18*f - 1 + 7*f + 10*f)*(1 - 1 - 3*f). 3*f**2 + 3*f Expand (2*t**2 + 3 - 3)*(2*t - 2*t - 2*t)*(2*t - t + 0*t). -4*t**4 Expand (-2*y - y + 2*y)*(-4 - y + 4) - y**2 - y**2 + 3*y**2 + (3*y - 2 + 2 + (2*y - 2*y - 2*y)*(-1 - 4 + 4) + 0*y - 2*y + y)*(0*y - y - y). -6*y**2 Expand (-2 - 1 - 3 + (3 - 7 + 1)*(0 + 2 + 0))*(-2*a**3 + 0*a**3 + 0*a**3). 24*a**3 Expand (6*d**3 + 2*d**3 - 3*d**3)*(-d - 8*d + 21*d**2 + 10*d). 105*d**5 + 5*d**4 Expand -3*m**2 + 3*m**2 - 2*m**4 + (-6*m**2 + 3*m**2 + 4*m**2)*(m**2 + 0 + 0) - 3*m - 5*m**4 + 3*m. -6*m**4 Expand -i + i + i + (2*i - 5*i + i)*(-1 - 6 + 3)*(3 + 1 + 3). 57*i Expand (9 - 20 - 16)*(-l + 2*l - 2*l). 27*l Expand (-l + 5*l - 5*l)*(4*l + 0*l - 2*l + (-l + 0*l + 4*l)*(1 - 3 + 7)). -17*l**2 Expand (c - c - 5*c)*(-4 + 2*c + 4) + (-4*c**2 + 3*c**2 - c**2)*(1 + 0 + 1). -14*c**2 Expand (2 - 2 + 2*z)*(1 + 1 + 5)*(3 - 3 - 2*z**3 + z**2). -28*z**4 + 14*z**3 Expand (-3*j**4 + j**4 + j**4)*(-1 + 3 + 3). -5*j**4 Expand (o - 3 - 1 - 1)*(1 - 1 - 2). -2*o + 10 Expand (25 - 7 + 0)*(-2 - 6*t**3 + t**3 + 4*t**3) + t**3 + 0*t + 0*t. -17*t**3 - 36 Expand (-1 - 2*x + 1)*(-6 + 6 - 4*x) + x**2 + 3*x**2 + 2*x**2. 14*x**2 Expand 0*o**4 - 3*o**4 + 4*o**4 + (4 - 1 - 4)*(o**4 + 3*o**4 - o**4)*(-2 + 0 + 8). -17*o**4 Expand (4*m - 4*m + m)*(8*m**3 + 2 - 6*m**3 - 2*m**2 - 5*m**2). 2*m**4 - 7*m**3 + 2*m Expand (-u**2 + 0*u**2 + 3*u**2)*(2 - 3 - 1)*(421 - 421 + 11*u**3). -44*u**5 Expand (2*x**4 - 3*x**4 + 3*x**4)*(-5 + 3 - 3). -10*x**4 Expand (2*a**2 + 2 + 12*a - 12*a)*(-27 + 27 - a**2). -2*a**4 - 2*a**2 Expand -8*v**5 + 3*v**5 - 4*v**5 - 2*v**5 - v**5 + 2*v**5 - v**2 + v**2 + v**5 + (2*v**4 - 2*v**4 + v**4)*(-3*v + 3*v - 2*v) + 4*v**3 - v**5 - 2*v**3 + 4*v**5. -8*v**5 + 2*v**3 Expand (0*l - 2*l + 3*l)*(-2*l**3 - 4 + 4) + 0*l**3 + l**4 + 0*l**3 - 8*l + 8*l - 8*l**4. -9*l**4 Expand (-4*a + 0*a + 5*a)*(-2*a + 0*a + 4*a) + (0 + 1 + 1)*(-3*a**2 + 0*a**2 + 2*a**2) + a**2 - 2 + 2. a**2 Expand (-3 + 2 + 0)*(-3 + 3 + u + (-u - 2 + 2)*(2 - 2 - 1) + u - 2*u - u - u + 4*u - 6*u). 3*u Expand t**2 - 2 + 2 + (1 - 1 + t)*(t + 0 + 0) + t - t + t**2 + (255 - 255 + 16*t)*(3 - 3 - 2*t). -29*t**2 Expand -4 + 2 + 15*g**2 + 3 - 3*g**2 + 3*g**2 + 2*g**2 + (0*g + 0*g + g**2)*(4 + 1 - 4). 18*g**2 + 1 Expand -f - 1 - 5 + 4 + (15 - 2*f - 15)*(7 - 3 - 2). -5*f - 2 Expand -4*k**5 + 3*k**5 + 2*k**5 + (-3*k + 3*k + k)*(2*k**4 - 2*k**4 + k**4) - 2*k**5 - 3*k**4 + 3*k**4 - 4*k**5 + 4*k**5 + 2*k**5 + 2*k**5 - k**5 + 5*k**5. 8*k**5 Expand (1 - 1 - 2*t)*(4 - 2 + 0)*(6*t - 6*t - 11 + t). -4*t**2 + 44*t Expand -3*o**5 + 3*o**3 - 3*o**3 - 2*o**5 + 4*o**5 - o**5 + 2*o**5 - 6*o**5 + 0*o**5 + (1 - 1 - o**3)*(-o**2 + o**2 - 2*o**2). -4*o**5 Expand (-j - 2*j + 2*j)*(3*j**3 + 0*j**3 - 2*j**3) + 52*j**4 - 18*j**3 - 53*j**4 + 36*j**3. -2*j**4 + 18*j**3 Expand (5*d - 4*d + 0*d)*(0 - 4 + 3)*(-12*d + 12*d + 12*d + (-2*d + 2*d + d)*(0 - 5 + 3) + 1 + 2*d - 1). -12*d**2 Expand (0 + 0 + 2*h**2 + (-4*h**2 + 6*h**2 - 3*h**2)*(2 + 4 - 5))*(-4*h**3 + 5*h**3 - 2*h**3). -h**5 Expand (d + d**2 - d)*(-4 + 4 - 1)*(0*d + 5*d - 4*d) + (-3*d - d + d)*(2*d - 2*d + 2*d**2). -7*d**3 Expand (0 - 1 + 5)*(-1 - 4*n + 2 + 3*n). -4*n + 4 Expand (u**5 + 10*u**2 - 10*u**2 - 3*u**3)*(0 - 1 - 2 - 1 + 0 + 0 + (2 - 5 + 5)*(-3 + 6 - 2) + 0 - 3 + 2). -3*u**5 + 9*u**3 Expand (-5 + 0 + 4)*(-5 + 1 + 3)*(-2*l**2 + 0*l + 0*l) + 0*l - l**2 + 0*l - 4 - l**2 + 4 + (l + 2*l - 2*l)*(-l + 0 + 0) - 5*l - l**2 + 5*l. -6*l**2 Expand (2 + 0 - 1)*(26 - 26 + 6*l). 6*l Expand (1 + 0 - 2)*(-4*n + 4*n - 4*n)*(-4 + 3 + 0). -4*n Expand (2 - 3 + 3)*(0*k - 5*k + 9*k)*(k**2 + k**2 + 0*k**2). 16*k**3 Expand (73*m - 34*m - 16*m)*(-2*m**3 - 2*m**3 + 3*m**3). -23*m**4 Expand u**3 + 0*u**3 - 2*u**3 + (-u**2 + 3*u**2 + 0*u**2)*(-u - 2*u + 2*u) + (u**2 + 3*u**2 - 2*u**2)*(2*u - u + u) - 54 + 6*u**3 + 54. 7*u**3 Expand -c**4 + 0*c**4 - c**4 + (5*c**3 - 2*c**3 - c**3)*(2*c - 5*c + 2*c) + 0*c**4 + 3*c**4 - c**4 + (-c - 4*c + 2*c)*(0*c + c + c)*(-4 + 4 + 2*c**2). -14*c**4 Expand (2 + 1 - 1)*(-3*a + a + 2 + 1). -4*a + 6 Expand (-a**4 + 1 - 1)*(0 + 1 - 6)*(-3 + 1 + 1)*(-3*a - 2*a + 6*a). -5*a**5 Expand (-1 - 1 + 0)*(h**5 - 3*h**2 + 3*h**2) - 42*h + 41*h - 2 + 0 - 3*h**5. -5*h**5 - h - 2 Expand (8*b - 8*b - 4*b**2)*(-b + 0*b - b) + (b + 5*b - 4*b)*(-b**2 + b - b). 6*b**3 Expand (10 - 15 + 9)*(-v**2 - 2*v**2 + 2*v**2). -4*v**2 Expand (1 + 3 - 2)*(i - i + 7*i) + 0*i + i + 0*i - 1 + i + 1. 16*i Expand -20 - 2*y + 14 + 12 + (2 - 2*y - 2)*(3 - 2 - 3). 2*y + 6 Expand -3*v**2 + 3*v**2 + 3*v**2 + (2*v + 0*v + 0*v)*(0 - v + 0) - 4*v**2 - 2*v**2 + 4*v**2. -v**2 Expand (3*x + 1 - 1)*(-2*x - 4*x + 5*x). -3*x**2 Expand -5*b**2 + 7*b**2 - 2*b**3 + 3*b**2 + (-
{ "pile_set_name": "DM Mathematics" }
r? False Is 36383 composite? False Is 36253 prime? False Is 11558 a composite number? True Is 21509 a composite number? True Is 30395 a prime number? False Is 22027 a prime number? True Is 131201 prime? False Is 129329 prime? False Is 250279 composite? False Is 18713 a prime number? True Is 2025407 a prime number? False Is 5269 a composite number? True Is 633739 prime? True Is 26801 a composite number? False Is 12757 a composite number? False Is 85777 prime? False Is 71563 a composite number? False Is 121129 a composite number? True Is 63419 prime? True Is 421607 a prime number? True Is 1531 a prime number? True Is 4981 a composite number? True Is 52919 a composite number? False Is 5439959 a composite number? True Is 20469 prime? False Is 5663 a composite number? True Is 2153 a prime number? True Is 37831 composite? False Is 11369 a composite number? False Is 163731 a prime number? False Is 243937 a prime number? False Is 40958 a prime number? False Is 107171 a composite number? False Is 47161 composite? False Is 1104179 composite? False Is 58423 prime? False Is 2459 a prime number? True Is 4143 prime? False Is 110427 composite? True Is 737 a prime number? False Is 5331 a composite number? True Is 15926 composite? True Is 27553 a prime number? False Is 563987 a composite number? False Is 7069 a prime number? True Is 7993 composite? False Is 33382 a prime number? False Is 12817 a prime number? False Is 901 a prime number? False Is 2846 a composite number? True Is 26237 a prime number? True Is 3181 composite? False Is 33001 composite? True Is 187597 a composite number? False Is 112237 composite? False Is 874909 a prime number? False Is 59101 a composite number? True Is 21001 a prime number? True Is 161729 a composite number? False Is 88163 prime? False Is 16079 prime? False Is 696659 prime? True Is 766243 composite? True Is 443959 prime? False Is 13398089 a prime number? True Is 41539 a composite number? False Is 26493 prime? False Is 3489 prime? False Is 709231 a prime number? True Is 1139 a composite number? True Is 633251 a composite number? True Is 1439 prime? True Is 4253993 a prime number? False Is 116789 a composite number? False Is 516935 composite? True Is 1037171 a prime number? False Is 491 a prime number? True Is 67661 a composite number? True Is 275789 a composite number? True Is 304453 a prime number? False Is 59233 a composite number? False Is 1758079 a composite number? True Is 40211 composite? True Is 1664053 a prime number? True Is 34583 prime? True Is 45039 composite? True Is 6239 composite? True Is 211777 composite? False Is 22481 a composite number? False Is 9533 composite? False Is 1179467 a composite number? False Is 2397677 prime? True Is 4201 composite? False Is 799 a composite number? True Is 71011 composite? False Is 264599 composite? False Is 11389 a prime number? False Is 179053 a composite number? True Is 61463 a composite number? False Is 18973 composite? False Is 2936905 a prime number? False Is 9661 prime? True Is 14253 composite? True Is 214 prime? False Is 19039 a prime number? False Is 799 a prime number? False Is 2199113 composite? True Is 8551 a composite number? True Is 3763 a prime number? False Is 79141 composite? True Is 14765 a composite number? True Is 59603 a prime number? False Is 707 prime? False Is 8057 a prime number? False Is 1132051 prime? False Is 1501 a prime number? False Is 1721981 composite? True Is 5951 a composite number? True Is 57089 prime? True Is 40453 prime? False Is 27043 a prime number? True Is 374753 a prime number? True Is 2437 a composite number? False Is 24259 a prime number? False Is 13957 composite? True Is 20873 a composite number? False Is 54709 a prime number? True Is 95399 a prime number? False Is 2437 prime? True Is 1847 composite? False Is 8539 a prime number? True Is 22889 a prime number? False Is 5063 a composite number? True Is 2515933 prime? False Is 137303 a prime number? True Is 5779 prime? True Is 35078 a prime number? False Is 322169 a composite number? False Is 1438457 prime? True Is 424191 a composite number? True Is 6227 prime? False Is 8491 prime? False Is 8059 a prime number? True Is 45447 prime? False Is 898819 composite? False Is 419453 a composite number? True Is 587 composite? False Is 4008703 composite? True Is 140383 composite? True Is 4183 composite? True Is 179155 a composite number? True Is 17403 a composite number? True Is 88799 prime? True Is 17774 composite? True Is 13163 prime? True Is 596399 a prime number? True Is 745 composite? True Is 66151 a prime number? False Is 232727 prime? False Is 9413 composite? False Is 1157 a prime number? False Is 172813 prime? False Is 328777 composite? False Is 69079 prime? False Is 12421 composite? False Is 3821 prime? True Is 12571 prime? False Is 769 a composite number? False Is 2161763 a prime number? False Is 16331 a composite number? True Is 326351 composite? False Is 6113 prime? True Is 94301 a prime number? False Is 406697 prime? True Is 1577 prime? False Is 631 a composite number? False Is 1077911 composite? False Is 65791 a prime number? False Is 20431 composite? False Is 1039 prime? True Is 11149 composite? False Is 2843 a composite number? False Is 243259 a composite number? False Is 16391 prime? False Is 5773 composite? True Is 57899 composite? False Is 578437 prime? False Is 907261 prime? False Is 15551 prime? True Is 86711 composite? False Is 7781 prime? False Is 8321 composite? True Is 6787 a prime number? False Is 750021 composite? True Is 156029 a composite number? True Is 320081 a prime number? True Is 299797 prime? False Is 19711 a prime number? False Is 7717 prime? True Is 190523 prime? True Is 11851 a composite number? True Is 1711 a prime number? False Is 33287 prime? True Is 45383 composite? True Is 58567 a prime number? True Is 649 composite? True Is 187163 a prime number? True Is 34231 composite? False Is 12871 composite? True Is 583 prime? False Is 5891 prime? False Is 75479 a composite number? False Is 195659 composite? False Is 53353 a composite number? False Is 81097 a composite number? False Is 78087 a prime number? False Is 11369 a composite number? False Is 1543 a prime number? True Is 1949 a composite number? False Is 28789 a composite number? False Is 1003045 a composite number? True Is 2888083 prime? False Is 606977 a prime number? False Is 187849 a composite number? True Is 1361 prime? True Is 704149 a composite number? True Is 10771 a composite number? False Is 18187 composite? True Is 30541 prime? False Is 53327 prime? True Is 263257 composite? False Is 11246 composite? True Is 25013 prime? True Is 13379 a prime number? False Is 6385 a composite number? True Is 8621 composite? True Is 38681 a composite number? True Is 8999 a prime number? True Is 17753 a prime number? False Is 9227 composite? False Is 51549 a composite number? True Is 58831 a prime number? True Is 215599 composite? True Is 142703 a composite number? True Is 249595 a prime number? False Is 2340119 a prime number? True Is 174589 a prime number? False Is 46133 composite? False Is 186863 a composite number? True Is 119489 prime? True Is 23773 a prime number? True Is 30887 composite? True Is 274087 a composite number? True Is 20051 composite? False Is 34267 prime? True Is 87923 composite? True Is 111577 prime? True Is 208877 a composite number? False Is 26669 a composite number? False Is 453659 a prime number? True Is 302317 a prime number? True Is 120847 composite? False Is 145534 a composite number? True Is 9649 a prime number? True Is 564881 a composite number? False Is 609215 a composite number? True Is 17863 composite? False Is 50187 prime? False Is 17669 a prime number? True Is 745 composite? True Is 44927 a composite number? False Is 232639 composite? True Is 143266 a prime number? False Is 589957 a composite number? True Is 30367 prime? True Is 124853 composite? False Is 6487 prime? False Is 25297 a composite number? True Is 17213 composite? True Is 235871 composite? False Is 68351 a composite number? False Is 2613922 composite? True Is 389819 prime? True Is 1032763 a prime number? True Is 228539 prime? True Is 10169 a prime number? True Is 21055 a prime number? False Is 430999 a prime number? True
{ "pile_set_name": "DM Mathematics" }
5 Put 4, -2, 1, -5, -34 in decreasing order. 4, 1, -2, -5, -34 Put -13, 4, -2, -3 in decreasing order. 4, -2, -3, -13 Put -12/5, 10, 0.5 in ascending order. -12/5, 0.5, 10 Put 4, 5, -178, 2 in increasing order. -178, 2, 4, 5 Put -435, 2, 3, -1, -5 in descending order. 3, 2, -1, -5, -435 Sort 56, -15, -3 in ascending order. -15, -3, 56 Sort 4/9, 2/7, 2/3, -1/10 in descending order. 2/3, 4/9, 2/7, -1/10 Sort -129, -3, 3, -1 in decreasing order. 3, -1, -3, -129 Sort -107, -3, -4, -2 in ascending order. -107, -4, -3, -2 Sort 219, 2, -3. -3, 2, 219 Put -5, 0.2, 1 in decreasing order. 1, 0.2, -5 Sort -4, -5, -253/5 in ascending order. -253/5, -5, -4 Sort -0.4, 28, -0.3, 0.1 in ascending order. -0.4, -0.3, 0.1, 28 Sort 2, -0.01, 1/3 in decreasing order. 2, 1/3, -0.01 Sort -0.4, 19, 3/8, -0.2 in descending order. 19, 3/8, -0.2, -0.4 Put 30, -23, -4, -3 in descending order. 30, -3, -4, -23 Sort 3, 2, 8, 5, -4 in decreasing order. 8, 5, 3, 2, -4 Sort 1.02, -3/2, 2/3. -3/2, 2/3, 1.02 Sort -5, 5, -6, -1 in decreasing order. 5, -1, -5, -6 Sort 3, 8055, -4 in descending order. 8055, 3, -4 Put -1/8, -11, 18 in descending order. 18, -1/8, -11 Put 1/5, 3/7, -2/79 in ascending order. -2/79, 1/5, 3/7 Sort 3, 2, 12, 15 in decreasing order. 15, 12, 3, 2 Sort -2, -76, 14 in ascending order. -76, -2, 14 Sort -3, 5, -1, 28 in decreasing order. 28, 5, -1, -3 Put -13, 0, 30 in decreasing order. 30, 0, -13 Sort 23/4, -0.2, 0. -0.2, 0, 23/4 Sort -5, -21, -7, -3, -4 in decreasing order. -3, -4, -5, -7, -21 Put -7, -4, 11 in increasing order. -7, -4, 11 Put -16, 4, 5, 3 in descending order. 5, 4, 3, -16 Put 4, -1, 2, -2 in ascending order. -2, -1, 2, 4 Sort 23, 2, -28, -5, -4. -28, -5, -4, 2, 23 Sort 1, 2, 7, -5, 3 in ascending order. -5, 1, 2, 3, 7 Sort 19, -3, -1, 14 in descending order. 19, 14, -1, -3 Put 295, 6, 3 in increasing order. 3, 6, 295 Put 1, -3, 4, 9 in descending order. 9, 4, 1, -3 Sort 0, 119, 5. 0, 5, 119 Put -74, 1, 15, -5 in increasing order. -74, -5, 1, 15 Put 20, 256, 4, 0 in decreasing order. 256, 20, 4, 0 Sort 5, 2, 64, 4 in decreasing order. 64, 5, 4, 2 Sort -2, 2, -4, -6 in ascending order. -6, -4, -2, 2 Put -350, -0.2, 0.4 in descending order. 0.4, -0.2, -350 Sort 4, 2, 37, 6. 2, 4, 6, 37 Sort 8, 1/6, 0.4 in ascending order. 1/6, 0.4, 8 Put 5, -3/2, -2/5, 7, 1 in decreasing order. 7, 5, 1, -2/5, -3/2 Put -1/2, 0.3, 24/7, -67 in descending order. 24/7, 0.3, -1/2, -67 Put 4, 3, 0.9, 29 in ascending order. 0.9, 3, 4, 29 Put -1.8, -3, 1, -0.4 in descending order. 1, -0.4, -1.8, -3 Sort -107, 16, 2/11, -5/2. -107, -5/2, 2/11, 16 Put -2.6, 0, -5 in decreasing order. 0, -2.6, -5 Sort 5, -4/3, -262/3 in increasing order. -262/3, -4/3, 5 Put -5, 1/45, -1/7, 5, 2 in descending order. 5, 2, 1/45, -1/7, -5 Put -2, 1/7, -0.01, -3, 7 in decreasing order. 7, 1/7, -0.01, -2, -3 Put -0.4, 110.2, -0.2 in descending order. 110.2, -0.2, -0.4 Sort -62, -5, 2, -3, 0 in decreasing order. 2, 0, -3, -5, -62 Sort 3/5, -2, -3, 98 in descending order. 98, 3/5, -2, -3 Sort -2, -5, 4, 1, -6 in descending order. 4, 1, -2, -5, -6 Sort -7, 0, -0.084. -7, -0.084, 0 Put -3, -576, -5 in increasing order. -576, -5, -3 Put 0.3, -1/3, 106, -0.07, 2/3 in descending order. 106, 2/3, 0.3, -0.07, -1/3 Sort -2, 1/4, -483. -483, -2, 1/4 Sort 0, -9, 36, -3. -9, -3, 0, 36 Sort 11, -4, -6 in ascending order. -6, -4, 11 Put 4, 11, -0.1 in decreasing order. 11, 4, -0.1 Sort 778, 5, 0, -5 in descending order. 778, 5, 0, -5 Put 2/761, -1/4, 2/7, 1/3 in ascending order. -1/4, 2/761, 2/7, 1/3 Put 0, 1, -4, -2 in descending order. 1, 0, -2, -4 Sort 5, -3/2, -6 in decreasing order. 5, -3/2, -6 Put -5, 0, 2266 in ascending order. -5, 0, 2266 Put -8/7, -0.04, 4 in increasing order. -8/7, -0.04, 4 Sort 3, -5, 4, -3 in decreasing order. 4, 3, -3, -5 Put -1/11, -2/11, -1, 5, 1 in decreasing order. 5, 1, -1/11, -2/11, -1 Put -2/11, -5, -73, 0.4 in increasing order. -73, -5, -2/11, 0.4 Sort 29.3, 5, -11 in increasing order. -11, 5, 29.3 Put -5, -88, -0.05 in increasing order. -88, -5, -0.05 Put -1333, 2, 3 in increasing order. -1333, 2, 3 Sort 3/11, -3, -2/7, -2/3 in increasing order. -3, -2/3, -2/7, 3/11 Sort 75, -2, 1 in decreasing order. 75, 1, -2 Sort 3, 0.5, 208. 0.5, 3, 208 Put 0.1, 3, 549 in ascending order. 0.1, 3, 549 Sort -227, -7, -2 in increasing order. -227, -7, -2 Sort -24, -5, 2, 0.2 in increasing order. -24, -5, 0.2, 2 Put 2, 9, -4, -5, -2 in decreasing order. 9, 2, -2, -4, -5 Put -14/17, -0.2, -8 in ascending order. -8, -14/17, -0.2 Sort 4, -4, 47 in ascending order. -4, 4, 47 Sort -3, 11, 128, -6 in ascending order. -6, -3, 11, 128 Sort -531, 39, 3. -531, 3, 39 Put 5, -4, 4, -6, -131 in decreasing order. 5, 4, -4, -6, -131 Sort 0.08, -5, -1/4, 0.23. -5, -1/4, 0.08, 0.23 Sort 1694, 3, 1. 1, 3, 1694 Sort 7, -2, -262 in increasing order. -262, -2, 7 Put 0, 12.2, -4 in descending order. 12.2, 0, -4 Sort 15, -3, -1, 0.1, -0.2 in increasing order. -3, -1, -0.2, 0.1, 15 Sort -3, 0.3, -0.5, 5/11. -3, -0.5, 0.3, 5/11 Put 7/3, -0.2, 5/4, -2, -5 in increasing order. -5, -2, -0.2, 5/4, 7/3 Sort -5, 0, 19, 2, -107. -107, -5, 0, 2, 19 Put -2, -5, -0.1, 3 in decreasing order. 3, -0.1, -2, -5 Sort -1/12, 2, -3/8, -2/39 in decreasing order. 2, -2/39, -1/12, -3/8 Sort 14, 2/7, 0.3 in descending order. 14, 0.3, 2/7 Put -1, 4, 1 in increasing order. -1, 1, 4 Sort 2, 14, -1, -5 in descending order. 14, 2, -1, -5 Put -5, 5, -11, -8 in descending order. 5, -5, -8, -11 Sort -1, 20, -2, -3, -4. -4, -3, -2, -1, 20 Put -3, 17, -5, 12 in decreasing order. 17, 12, -3, -5 Put 0.1, 5, -70/11 in decreasing order. 5, 0.1, -70/11 Put 0.07, -0.59, -7 in descending order. 0.07, -0.59, -7 Sort -1/5, -11, 1/7 in decreasing order. 1/7, -1/5, -11 Put -3, -36, 3, 2, -1 in decreasing order. 3, 2, -1, -3, -36 Sort -3, -7, 2 in descending order. 2, -3, -7 Put 4, 20, -5, 1 in decreasing order. 20, 4, 1, -5 Sort 10, -5, 465, 1 in descending order. 465, 10, 1, -5 Sort 3, -3, 68 in descending order. 68, 3, -3 Put 3, 53, -2/5, 1 in decreasing order. 53, 3, 1, -2/5 Sort 2/11, 0.3, -2/7, -3 in descending order. 0.3, 2/11, -2/7, -3 Put -4, -3/4, 1/5 in descending order. 1/5, -3/4, -4 Put -15, 134, -5, 2 in descending order. 134, 2, -5, -15 Sort 4, -7, -66 in ascending order. -66, -7, 4 Sort 4, -3.8, 7, -0.5, -0.4. -3.8, -0.5, -0.4, 4, 7 Sort 7, -19, 3, 4 in decreasing order. 7, 4, 3, -19 Sort 103, 2, 8 in descending order. 103, 8, 2 Put 1/7, -3, -100, -2/3 in descending order. 1/7, -2/3, -3, -100 Sort 21, 0.4, -55/3 in increasing order. -55/3, 0.4, 21 Put 0.4, -5, 0.1, 90.3 in increasing order. -5, 0.1, 0.4, 90.3 Sort 0.5, 0, 55 in decreasing order. 55, 0.5, 0 Put 0, -51, -5 in descending order. 0, -5, -51 Put 2, 4, 3, -427 in ascending order. -427, 2, 3, 4 Put 2, -8, 1, 2/9, 4 in descending order. 4, 2, 1, 2/9, -8 Put 3, -0.3, 1056, -3 in decreasing order. 1056, 3, -0.3, -3 Put -1, -91, 1, 5, -2 in descending order. 5, 1, -1, -2, -91 Sort -5, -3, -1154. -1154, -5, -3 Put 0, 1.826, -4 in decreasing order. 1.826, 0, -4 Sort 23, -4, -2. -4, -2, 23 Put -3, -2, -11, -5 in ascending order. -11, -5, -3, -2 Sort -3/7, 3, -0.5, -0.8, 0.2 in increasing order. -0.8, -0.5, -3/7, 0.2, 3 Sort 4, -4, -1, -9 in decreasing order. 4, -1, -4, -9 Put 110, 0.9, -4, -5, 6/5 in descending order. 110, 6/5, 0.9, -4, -5 Put -492, 3, 4 in increasing order. -492, 3, 4 Put -10, -5, -4, -6, 0 in increasing order. -10, -6, -5, -4, 0 Sort 9, 2/5, 2 in descending order. 9, 2, 2/5 Sort 15, 5/2, 0, 2/11. 0, 2/11, 5/2, 15 Sort 0.2, 0.0471, 1, -4/5. -4/5, 0.0471, 0.2, 1 Put 2, -15, 8 in descending order. 8, 2, -15 Put 4, 38, 5 in descending order. 38, 5, 4 Sort 11, -116, 2, 1 in decreasing order. 11, 2, 1, -116 Sort 2/69, 0.1, -5, -0.02, 4 in ascending order. -5, -0.02, 2/69, 0.1, 4 Put -1, -8, -2, 311, -4 in ascending order. -8, -4, -2, -1, 311 Put 3, 5, 9 in descending order. 9, 5, 3 Sort -2, 3, -1, -287. -287, -2, -1, 3 Put 5, -1/3, -1, 93 in decreasing order. 93, 5, -1/3, -1 Put 0, 4, -2, -5 in descending order. 4, 0, -2, -5 Put -4/45, 0.4, 29 in descending order. 29, 0.4, -4/45 Sort -1/2, -5, 24, 1.1 in descending order. 24, 1.1, -1/2, -5 Put 2, 5, -6 in descending order. 5, 2, -6 Sort 5, -5, 4, -9, -6. -9, -6, -5, 4, 5 Sort -7/2, 0.2, -1/5, 0 in descending order. 0.
{ "pile_set_name": "DM Mathematics" }
127 divide 47575? False Does 18 divide 83667? False Is 8 a factor of 9624? True Is 121 a factor of 3831707? True Does 131 divide 233704? True Is 497 a factor of 11899671? True Does 4 divide 4114036? True Does 70 divide 146168? False Is 16 a factor of 27815? False Does 418 divide 5426217? False Is 90301 a multiple of 1237? True Is 1787296 a multiple of 808? True Is 33 a factor of 73821? True Does 28 divide 155513? False Does 554 divide 2193634? False Is 103 a factor of 244728? True Is 11 a factor of 1518660? True Is 118 a factor of 2117628? True Is 896406 a multiple of 147? True Does 100 divide 232204? False Does 958 divide 3511498? False Is 38 a factor of 2053406? True Does 738 divide 14312254? False Is 35 a factor of 1236030? False Is 91740 a multiple of 22? True Is 1005253 a multiple of 248? False Is 3 a factor of 3083430? True Is 341205 a multiple of 22? False Is 19 a factor of 10545? True Does 5 divide 705634? False Is 89256 a multiple of 62? False Does 54 divide 13189? False Is 21442 a multiple of 12? False Does 7 divide 51301? False Is 101430 a multiple of 69? True Is 75 a factor of 4023675? True Is 307100 a multiple of 166? True Is 2403764 a multiple of 51? False Does 68 divide 4376793? False Is 23 a factor of 62017? False Does 44 divide 1111? False Does 1766 divide 15244609? False Is 304 a factor of 140146? False Is 18 a factor of 95116? False Is 842982 a multiple of 108? False Is 60 a factor of 78180? True Is 259256 a multiple of 280? False Is 18 a factor of 498996? True Does 8 divide 85872? True Is 2 a factor of 992? True Is 52 a factor of 583673? False Is 35 a factor of 7024556? False Does 359 divide 5034257? True Does 40 divide 16081712? False Is 19 a factor of 17765? True Does 20 divide 6971771? False Is 6 a factor of 24800? False Is 23014 a multiple of 37? True Is 182622 a multiple of 33? True Is 552204 a multiple of 27? True Is 10 a factor of 1006533? False Is 26 a factor of 664045? False Is 101626 a multiple of 98? True Is 18 a factor of 2336108? False Does 7 divide 4938074? False Is 2927349 a multiple of 1007? True Is 12851 a multiple of 3? False Does 16 divide 5862576? True Is 41 a factor of 11974? False Is 107 a factor of 131037? False Is 28 a factor of 670879? False Is 11 a factor of 135222? False Is 52533 a multiple of 37? False Is 13 a factor of 1255199? False Is 250228 a multiple of 1034? True Does 754 divide 3612964? False Does 249 divide 463887? True Is 830320 a multiple of 428? True Does 1612 divide 27498978? False Is 76013 a multiple of 26? False Is 24 a factor of 198528? True Is 242 a factor of 1358346? True Does 22 divide 882266? True Does 600 divide 216822? False Is 14 a factor of 22929520? False Does 35 divide 404745? False Does 88 divide 1035947? False Does 47 divide 1564442? True Is 74672 a multiple of 52? True Does 80 divide 1513245? False Does 24 divide 12795688? False Is 725400 a multiple of 52? True Is 28 a factor of 44464? True Does 15 divide 3911205? True Is 228587 a multiple of 42? False Does 105 divide 672655? False Does 15 divide 81285? True Does 37 divide 32096? False Is 13 a factor of 3541707? True Is 24724 a multiple of 14? True Is 593 a factor of 2642408? True Is 723 a factor of 710709? True Is 10 a factor of 3468250? True Is 1364544 a multiple of 618? True Is 193 a factor of 761819? False Is 31073 even? False Is 428002 a multiple of 32? False Is 28 a factor of 5951176? True Is 101507 a multiple of 6? False Does 496 divide 289787? False Does 18 divide 1035900? True Is 310728 a multiple of 66? True Is 51590 a multiple of 14? True Is 2200623 a multiple of 1237? True Does 31 divide 96193? True Is 874412 a multiple of 748? True Is 301 a factor of 144369? False Is 316 a factor of 92588? True Is 4 a factor of 111276? True Does 235 divide 183107? False Is 947076 a multiple of 13? True Does 97 divide 347648? True Does 345 divide 7952595? True Is 37580 a multiple of 126? False Is 45 a factor of 85770? True Does 12 divide 364524? True Is 623474 a multiple of 102? False Does 14 divide 561708? True Is 15799 a multiple of 3? False Is 10290533 a multiple of 80? False Is 8653197 a multiple of 136? False Is 18 a factor of 634680? True Does 14 divide 14572925? False Does 378 divide 528037? False Is 479 a factor of 3132290? False Is 201 a factor of 13467? True Is 1075 a factor of 1270650? True Is 133 a factor of 193515? True Is 578304 a multiple of 72? True Is 10520879 a multiple of 9? False Is 5497878 a multiple of 76? False Is 96 a factor of 3957898? False Is 117 a factor of 630727? False Is 402324 even? True Is 365 a factor of 573948? False Is 13 a factor of 129610? True Is 8415225 a multiple of 959? True Is 29 a factor of 384221? True Is 9231492 a multiple of 228? True Does 179 divide 29707377? True Is 405 a factor of 3310065? True Is 18430 a multiple of 2? True Does 14 divide 798602? True Is 794352 a multiple of 78? True Is 23 a factor of 1178240? False Is 26 a factor of 13838396? True Is 3 a factor of 55950? True Does 16 divide 26064? True Does 115 divide 150168? False Does 20 divide 115245? False Is 685704 a multiple of 12? True Is 734622 a multiple of 8? False Is 15 a factor of 342000? True Does 123 divide 2521489? False Does 5 divide 61078? False Does 16 divide 77856? True Is 2695950 a multiple of 446? False Does 268 divide 4882906? False Is 24 a factor of 638902? False Does 6 divide 104568? True Does 14 divide 2743514? False Is 287815 a multiple of 126? False Is 265525 a multiple of 559? True Is 213885 a multiple of 735? True Is 5668598 a multiple of 1082? True Is 21 a factor of 913632? False Is 2763270 a multiple of 5? True Does 1273 divide 5832886? True Is 15694 a multiple of 38? True Is 39 a factor of 14965470? True Is 2355105 a multiple of 218? False Does 15 divide 35108040? True Is 3017568 a multiple of 43? True Does 259 divide 415411? False Does 32 divide 1244800? True Is 24 a factor of 61632? True Does 39 divide 53118? True Does 104 divide 1055600? True Does 16 divide 498064? True Does 9 divide 154800? True Is 16 a factor of 316656? True Is 632 a factor of 261495? False Is 23 a factor of 1248647? True Does 391 divide 5699607? True Does 816 divide 16206? False Is 787689 a multiple of 733? False Is 133139 a multiple of 29? True Does 78 divide 332849? False Does 1274 divide 11802336? True Does 321 divide 1307754? True Is 13 a factor of 12995203? True Is 131596 a multiple of 394? True Does 60 divide 10041960? True Is 675 a factor of 376650? True Is 49852 a multiple of 206? True Is 406704 a multiple of 444? True Is 1425410 a multiple of 245? True Does 222 divide 111863? False Does 21 divide 444927? True Is 337636 a multiple of 8? False Is 11 a factor of 1246863? False Is 172 a factor of 330756? True Is 30256 a multiple of 31? True Is 277 a factor of 85039? True Is 496230 a multiple of 278? True Does 284 divide 3239872? True Does 115 divide 3607320? True Is 70406 a multiple of 144? False Is 15 a factor of 10620? True Is 59 a factor of 147152? False Does 164 divide 3490740? True Is 683226 a multiple of 102? False Is 150 a factor of 2324550? True Is 297008 a multiple of 60? False Is 171 a factor of 265247? False Is 42804 a multiple of 41? True Is 121260 a multiple of 129? True Is 1803678 a multiple of 716? False Does 374 divide 1974346? True Is 1822836 a multiple of 3? True Is 102442 a multiple of 5? False Is 79 a factor of 5917647? False Is 272 a factor of 258581? False Is 3 a factor of 54438? True Is 285152 a multiple of 20? False Does 218 divide 240236? True Is 426 a factor of 1666211? False Is 325 a factor of 5724550? True Is 205 a factor of 645955? True Does 27 divide 30962? False Does 85 divide 250410? True Is 12 a factor of 41091? False Is 335274 a multiple of 57? True Is 192 a factor of 2186112? True Does 53 divide 1944676? True Is 1644 a factor of 20447167? False Is 1445044 a multiple of 345? False Is 1380 a multiple of 30? True Is 10469 a multiple of 11? False Is 113 a factor of 19157801? False Does 5 divide 853321? False Does 21 divide 5605358? False Is 637048 a multiple of 8? True Is 1793100 a multiple of 12? True Does 3 divide 56591? False Is 171110 a multiple of 142? True Does 35 divide 1268680? True Does 163 divide 1349037? False Does 17 divide 1385914? False Does 30 divide 496230? True
{ "pile_set_name": "DM Mathematics" }
rt u? -12 Let v(m) = -12*m**2 + 22*m + 10. Let t(h) = -4*h**2 + 7*h + 3. Let r(n) = -10*t(n) + 3*v(n). What is the second derivative of r(q) wrt q? 8 Let x(t) = -t**3 + 12*t**2 - 12*t + 11. Let h be x(11). Suppose -q + 2 = -h. Differentiate -o - q + 8 - 2 with respect to o. -1 Suppose 2*w - 16 = -2*c, -4 - 10 = -2*c - w. Suppose -3*p = -c*p + 4*r - 8, 22 = 3*p + 2*r. Find the first derivative of p*d - d - 2 - d wrt d. 2 Let o(l) be the third derivative of 23*l**5/60 + l**3/6 + 37*l**2. What is the first derivative of o(j) wrt j? 46*j Let l(d) be the third derivative of 11*d**4/12 - 19*d**3/3 + 50*d**2. Differentiate l(q) wrt q. 22 Let n(f) = -f + 1. Let m = 4 + -3. Let c(w) = -3*w**2 + 4*w - 3. Let x(i) = m*c(i) + 3*n(i). Find the second derivative of x(l) wrt l. -6 What is the first derivative of 6 - 3*g**4 + 7 - 18 + 6 wrt g? -12*g**3 Let v(n) be the second derivative of -23*n**5/20 + 7*n**4/6 + 5*n - 2. Find the third derivative of v(b) wrt b. -138 Let t(q) be the second derivative of 0*q**4 + 3/2*q**2 - 1/30*q**6 + 0*q**5 + 0 + 0*q**3 - 3*q. What is the derivative of t(l) wrt l? -4*l**3 Let l = 2 - -4. What is the third derivative of 4*d**l - 5*d**2 + 85*d**5 - 85*d**5 wrt d? 480*d**3 Let l(f) = -9*f**3 - 2*f**2 - 2*f + 2. Let w = 3 - 1. Let h(a) = 10*a**3 + 3*a**2 + a - 3. Let u(m) = w*h(m) + 3*l(m). Find the second derivative of u(s) wrt s. -42*s Let r(y) = 4 - 3*y + 7 - 2*y + 6*y. Let f be r(-8). What is the third derivative of 2*p**5 - 4*p**2 + 3*p - f*p + 0*p wrt p? 120*p**2 Let h(k) be the first derivative of -5/3*k**3 - 3/4*k**4 + 0*k + 4 + 0*k**2. Find the third derivative of h(d) wrt d. -18 Suppose -5*i + 5*h + 45 = 0, -2*h + 3*h + 5 = 0. Find the second derivative of -5*n + 2*n + 2*n**i + 0*n wrt n. 24*n**2 Let n be 7/1 + (-3)/(-3). Suppose -2*b - 13 = -3*z, 2*z + 3*b = n*b + 5. What is the second derivative of t - 3*t**5 - t**5 + 6*t**z wrt t? 40*t**3 What is the second derivative of -38*w + 48*w**2 - 22*w**2 - 28*w**2 wrt w? -4 Let m(o) be the second derivative of o**7/210 + o**5/120 - o**3/6 + 3*o. Let h(l) be the second derivative of m(l). What is the second derivative of h(v) wrt v? 24*v What is the third derivative of w**2 - 26*w - 21*w**4 + 26*w + 2*w**2 wrt w? -504*w Let y(x) = -x**2 + 7*x + 9. Let b be y(8). Differentiate 17*f**3 - 4*f**3 - 3*f**3 - 6*f**3 - b with respect to f. 12*f**2 Let t(k) = k. Let s(f) = -f**2 + 4*f + 7. Let y be s(5). Let q(c) = -2*c**3 + 2*c - 1. Let v(l) = y*t(l) - q(l). What is the first derivative of v(a) wrt a? 6*a**2 Let d = 2 + -1. Let b be 0 + d - (-4 + 2). Find the third derivative of -y**6 - b*y**2 - 2*y**6 + 6*y**2 wrt y. -360*y**3 Find the second derivative of 5*l**3 - 3132*l + 3123*l - 14*l**3 wrt l. -54*l Let s(i) be the first derivative of 7/2*i**2 + 0*i**3 - i**6 + 0*i**4 + 6 + 0*i + 0*i**5. What is the second derivative of s(a) wrt a? -120*a**3 Let w(s) = -23*s**4 + 7*s**3 - 5*s**2 + 7. Let f(x) = -11*x**4 + 3*x**3 - 3*x**2 + 3. Let j(g) = 7*f(g) - 3*w(g). Find the third derivative of j(c) wrt c. -192*c Let b be 9/2 - 7/14. Find the second derivative of 6*r**4 - 8*r**3 + b*r + 8*r**3 wrt r. 72*r**2 Let p(g) be the first derivative of 17*g**3/3 + 9*g**2/2 - 10. Find the second derivative of p(z) wrt z. 34 Let j(z) = z**2 + z + 5. Let b be j(0). Let y = b + -3. What is the third derivative of 0 + 2*v**4 + 2*v**2 + y - 2 wrt v? 48*v Let q(x) = -2*x**2 - 2*x + 3. Let m(k) = -9*k**2 - 9*k + 3 + 4 + 6. Let d(h) = 6*m(h) - 26*q(h). Find the second derivative of d(s) wrt s. -4 Let d(f) be the first derivative of -f**3 + 8*f**2 - 5. Find the second derivative of d(i) wrt i. -6 Let r(f) be the third derivative of -5*f**9/504 - f**5/10 + 9*f**2. Find the third derivative of r(k) wrt k. -600*k**3 Let r(h) = -14*h**2 - 31*h - 3. Let m(q) = 14*q**2 + 30*q + 2. Let l(f) = 3*m(f) + 2*r(f). What is the second derivative of l(j) wrt j? 28 Let y(p) = -p**3 + p**2 + p + 1. Let q(f) = -3*f**3 + 6*f**2 + 7*f + 6. Let c(k) = -q(k) + 6*y(k). What is the second derivative of c(i) wrt i? -18*i Find the second derivative of 1296 + 4*i - 1296 + 16*i**4 wrt i. 192*i**2 Let f(b) be the first derivative of -21*b**4/2 - 19*b**2 - 17. What is the second derivative of f(m) wrt m? -252*m Let g(w) be the second derivative of 0 - w**3 + 5/12*w**4 - w + 0*w**2. What is the second derivative of g(j) wrt j? 10 Let s(p) = 8*p**2 + 12*p - 3. Suppose v = -1 - 0. Let y(x) = -x + 1. Let i(h) = v*s(h) - 3*y(h). What is the second derivative of i(j) wrt j? -16 Suppose b = 3*m - 21, 0*b + 2*b = -3*m + 3. Let o be (-33)/(-9) - 2/b. What is the derivative of 3*i - 1 - 6 + o wrt i? 3 Let k(q) be the second derivative of 3*q**5/10 - 5*q**3/6 + 4*q. Find the second derivative of k(p) wrt p. 36*p Let g(r) be the third derivative of r**5/60 + 3*r**4/8 - 5*r**2. Find the second derivative of g(n) wrt n. 2 Let r(s) be the second derivative of s**8/42 - s**4/4 + s**2 - 8*s. Let b(v) be the first derivative of r(v). Find the second derivative of b(m) wrt m. 160*m**3 Let m(x) be the second derivative of 0*x**3 + 0*x**6 - 1/56*x**8 - x + 0*x**2 + 0*x**5 + 0*x**7 + 0 + 1/4*x**4. What is the third derivative of m(y) wrt y? -120*y**3 Let h(c) = -31*c**5 + 7*c**2 + 23*c + 7. Let d(x) = 16*x**5 - 3*x**2 - 12*x - 3. Let v(y) = -7*d(y) - 3*h(y). What is the second derivative of v(q) wrt q? -380*q**3 Let n(u) be the first derivative of u**7 + 0*u**2 + 0*u**5 + 0*u**6 + 0*u - 5/3*u**3 + 0*u**4 - 5. What is the third derivative of n(m) wrt m? 840*m**3 Let h be (9/(-6))/(6/(-8)). Find the third derivative of -k**2 + k**4 + 4*k**2 + 3*k**h wrt k. 24*k What is the second derivative of -2*r + 18*r**5 - 3*r + 12*r wrt r? 360*r**3 Let w(n) be the first derivative of 11*n**6/2 + n**3/3 + 18*n**2 - 21. Find the third derivative of w(y) wrt y. 1980*y**2 Let l(c) be the second derivative of -c**8/1680 - c**5/120 + c**3/2 - 3*c. Let t(b) be the second derivative of l(b). Find the second derivative of t(x) wrt x. -12*x**2 Let j be (-6)/(-3) + (1 - 1). Suppose 2*p - 2*d = 12, 5*p + 4*d - d - 14 = 0. What is the second derivative of s**p - s - 2*s**4 - j*s + 0*s**4 wrt s? -12*s**2 Suppose s + k = -2 - 0, 0 = s - 4*k + 22. Let n(b) = b**2 + 7*b + 8. Let h be n(s). What is the third derivative of -c**5 - 4*c**h + 3*c**2 + 3*c**5 wrt c? 120*c**2 Let f be (-4)/(-10) + 346/10. Suppose 5*p - f = 5*q, -2*q - 20 = 2*q. What is the second derivative of 2*i**3 - 2*i**5 + i - p*i**3 wrt i? -40*i**3 Let r(l) be the third derivative of 0*l - 1/120*l**6 + 0*l**4 + 0*l**5 - 3*l**2 - 1/6*l**3 + 0. Differentiate r(q) wrt q. -3*q**2 Let o = 6 + -4. Suppose o*w + 1 = 9. Find the third derivative of 3*m**4 - m**4 - 9*m**2 - 5*m**w + 13*m**2 wrt m. -72*m Let u(i) = 60*i**5 + 8*i**4 - 17*i + 14. Let h(x) = -40*x**5 - 5*x**4 + 11*x - 9. Let z(m) = -8*h(m) - 5*u(m). What is the second derivative of z(p) wrt p? 400*p**3 Let s = 1 + -4. Let i(x) = -6*x - 3. Let y(q) = q**2 - 5*q - 2. Let h(t) = s*y(t) + 2*i(t). Find the second derivative of h(o) wrt o. -6 Let s(l) be the second derivative of l**5/20 + l**3/2 + l**2/2 - 3*l. Let f(r) be the first derivative of s(r). Differentiate f(k) with respect to k. 6*k Let x(v) be the third derivative of v**5/30 - 4*v**3/3 - 7*v**2. What is the derivative of x(r) wrt r? 4*r Let y(d) be the third derivative of d**5/20 - 5*d**3/6 + 9*d**2. Differentiate y(z) with respect to z. 6*z Let q be (-15)/6*-2 - 2. Find the first derivative of 0 + 2*m**q - 3 + 0 + 5 wrt m. 6*m**2 Find the second derivative of -3*b**3 + 30*b - 8*b + 22*b**3 - 10*b wrt b. 114*b Let u(c) be the second derivative of 9*c**7/14 + c**4/3 + c. What is the third derivative of u(g) wrt g? 1620*g**2 Let h(f) be the second derivative of 0*f**3 + 0*f**2 + 0*f**5 + 1/12*f**4 + 0*f**6 + 0 - f - 1/21*f**7. What is the third derivative of h(x) wrt x? -120*x**2 Suppose k - 3*w - 28 = 0, -11 = 3*w + 4. Find the first derivative of -7 + 1 + k - r**2 wrt r. -2*r Let y(j) = j**2 - 2*j + 3. Let n be y(2). Let u = 20 - 17. Find the third derivative of -t**2 + u - t**n - 3 wrt t. -6 Let r(l) = -l**4 + l. Let t(y) = 3*y**4 + 11*y. Let f(u) = 3*r(u) - t(u). What is the second derivative of f(n) wrt n? -72*n**2 Suppose -10 = -3*r - 1. Let c = -11 + 13. What is the derivative of -1 + b**c - r + 5 + 0*b*
{ "pile_set_name": "DM Mathematics" }
-2 Express (1 - r - 1)*(-2*r**2 + 51*r**3 - 53*r**3 - 2*r**2 - 2) in the form g*r**3 + f*r**2 + y*r**4 + c*r + s and give g. 4 Express (3*d + 1 - 1)*(13 + 45 + 4) as w*d + m and give w. 186 Rearrange -5*i**2 + 3*i**4 + 8 - 2*i**3 + 5*i**2 - 2*i**4 to a + y*i**4 + g*i**3 + z*i**2 + s*i and give y. 1 Rearrange b + 18 + 16 - 34 to u*b + m and give u. 1 Express (l + 2 - 2)*(l + l + 0*l) + 24*l**2 - l + 140 - 140 in the form i*l**2 + f*l + a and give f. -1 Rearrange 12 + c - 26*c**2 - 3 - 9 to the form x*c**2 + t*c + s and give x. -26 Rearrange -78 + 76 - v**4 - 5*v**2 + 5*v - v**4 to x*v + n + y*v**3 + i*v**2 + m*v**4 and give i. -5 Express (13 - 1 - 2)*(p - 2 + 5 - 4) as u + m*p and give u. -10 Express -y - 5 + 4 + 3 + (2*y - 4*y + y)*(0 + 3 - 2) + (38 - 23 + 24)*(5*y - 3*y - 3*y) in the form a + d*y and give d. -41 Express 7*b - 4*b - b + b as a + h*b and give h. 3 Rearrange -6541*k - 1 - 39*k**4 + k**2 + 6541*k - 3*k**2 to f + l*k**4 + u*k**2 + t*k + b*k**3 and give u. -2 Rearrange -5*p**2 - 5*p**2 + 7*p**2 to the form w + u*p**2 + s*p and give s. 0 Express v - v**2 + 4 + v - 3*v**3 + 0 as w*v**3 + y*v + q*v**2 + l and give q. -1 Rearrange (9*a - 7*a - 5*a)*(0 + 0 - 2)*(3 + 1 + 0) to the form s + b*a and give s. 0 Rearrange -11*o**2 - o**2 + o**2 - 6*o**2 to the form s*o**2 + w + m*o and give s. -17 Express -12*d + 10 + 0 - 10 as x*d + p and give x. -12 Rearrange (-2 + 2 - 1)*(k + k - k - 5*k + 4*k + 0*k + (2 + 0 - 3)*(2*k - 4*k + 3*k)) to q*k + w and give q. 1 Rearrange -5*g**2 + 60 - g - 60 to the form k*g**2 + w + h*g and give h. -1 Rearrange -13*l + 12*l - 4 - 14*l to the form i + t*l and give i. -4 Rearrange 4*r + 2*r - 5*r - 2*r**2 + 5*r**2 to j*r**2 + x + d*r and give d. 1 Rearrange 0*a**4 - 1 - 2*a - 6*a**2 + 5*a**2 - 7*a**2 + 2*a**4 to u*a**4 + n + j*a**2 + i*a**3 + z*a and give j. -8 Express 8*d**4 + 2*d**3 - 20*d**4 + 5*d**4 - 2*d - 3 + 8*d**4 in the form j*d**3 + w*d**4 + c*d + t*d**2 + q and give w. 1 Rearrange (4 + 0 - 3)*(1 + 3*t - 1)*(4 - 3 - 4) to the form j*t + m and give j. -9 Express 18*f**2 + 2*f + 3 + 9 - 10 in the form o*f + r + l*f**2 and give r. 2 Rearrange (2*j - 4*j + 3*j)*(7*j**2 + 2*j**2 - 4*j**2 - 3*j) to i + t*j + n*j**2 + z*j**3 and give z. 5 Rearrange -4 - 17*s + 11 - 7 to the form n + g*s and give g. -17 Rearrange 1103 + 5*d - 1103 + 5 - 5 - d + (3*d + d - 3*d)*(-1 + 1 - 1) + (0 + 2 - 4)*(-d + d - 2*d) + 0*d + d + 0*d to the form c + s*d and give s. 8 Rearrange (2*n - 2*n - 2*n**2)*((2*n + n - 2*n)*(0*n + 2*n - 4*n) + (n - 6*n + 3*n)*(-2*n + 3*n + 2*n)) to q*n + h*n**2 + f*n**4 + p + w*n**3 and give f. 16 Rearrange (3*y - 4*y + 3*y - y - 2*y + 4*y + (2*y + 0*y - 5*y)*(-4 + 1 + 2) + y - 1 + 1)*(3*y + 0*y - 6*y) to the form j + h*y**2 + o*y and give h. -21 Rearrange (-3*h + 4*h - 3*h)*(16481 + 132*h**2 - 16481) to m*h + x*h**2 + i + d*h**3 and give d. -264 Express 4*a**4 - 4*a**4 - 3*a**4 + (-3*a**2 - a**2 + 6*a**2)*(-44*a**2 + 171*a**2 - 72*a**2) in the form y*a + x + c*a**3 + g*a**2 + w*a**4 and give w. 107 Rearrange -3*i + i + 6*i**3 + 2 - 7*i**3 + 0*i to r*i**3 + m*i + o*i**2 + h and give r. -1 Express (-2 + 4 + 0)*(2 - 1 - 2)*(0*c**2 + 3*c**2 - 4*c**2) + (-3*c + 5*c - 3*c)*(-3*c + 5*c - c) as m + f*c + b*c**2 and give b. 1 Express -3*h + h + 6*h + 3*h as i*h + x and give i. 7 Express -z + 2 + 2*z**3 - 6*z**2 + 5*z**2 - 7*z in the form r + q*z**2 + v*z + w*z**3 and give w. 2 Express 4*f**3 + 4*f**3 + 2*f**2 + 1 + 1 - 3*f**3 as b*f + t*f**2 + o*f**3 + i and give t. 2 Rearrange 2*g + 2*g - 3*g**3 + g**3 - 1 - 3*g to i*g**3 + a*g + u + r*g**2 and give a. 1 Express (0 - m + 0)*(-58*m - 4*m - 34*m - 42*m) as l + o*m + f*m**2 and give f. 138 Rearrange (-6 + 2 - 2*q + 3)*((q + 0 + 0)*(2 + 1 - 4) + q - 6*q + 2*q)*(-2*q + 3 - 3) to p + j*q + t*q**2 + i*q**3 and give i. -16 Rearrange (-19*f**2 + 1 - 2 + 30*f**2)*(f - 4*f + f) to r + b*f + l*f**3 + c*f**2 and give r. 0 Express (-53 + 53 - 8*b)*(-3 - 2 + 2) as x + v*b and give v. 24 Express (-9 + 18 + 23)*(k - 2*k**2 - k) in the form c*k**2 + m + w*k and give c. -64 Express 8*v - 6*v + 2*v + 4*v as c + n*v and give n. 8 Rearrange (-8 - 9 + 15)*(-3 + 3 + 2*s) to the form u*s + y and give u. -4 Express -62*x + x**3 - 14*x + 0*x**3 in the form w*x**2 + u + g*x**3 + d*x and give d. -76 Rearrange -16*b**3 + 2 - 3*b**2 - 3*b**2 + 18*b**3 to u*b**3 + q + x*b + y*b**2 and give u. 2 Express (z**2 - 2*z + 2*z)*(1 + 3 - 2)*(8 + 4 - 3)*(-z + 0*z + 2*z) in the form x + s*z**2 + a*z**3 + b*z and give a. 18 Express u**3 + u**3 - u**3 + u**2 in the form n + o*u**3 + k*u + m*u**2 and give m. 1 Rearrange 16*m - 2*m + 23*m - 6*m + (-2 - 3 + 9)*(3*m + 0*m - 5*m) to the form g*m + y and give g. 23 Express k**2 - 71*k**4 - 58*k**4 - 2*k + 187*k**4 as j*k**4 + v + o*k**3 + c*k**2 + x*k and give c. 1 Rearrange 4*h - 27*h - 8*h to the form z*h + a and give z. -31 Express (-6 - 2*d + 7 + 3*d)*(-d + 2*d + d) in the form y*d**2 + r + n*d and give n. 2 Express -3*m + 14*m**2 - 3*m + 6*m as i*m**2 + q + z*m and give i. 14 Express 9*f**2 - 5*f**3 - 4*f**3 - 10*f**2 + 1 + 4*f**3 in the form i + r*f**2 + a*f**3 + l*f and give l. 0 Rearrange -2*m**2 + 9*m**4 - 2 - 6*m**4 + 4*m**4 - m**3 + m**4 to o*m**2 + b*m**4 + t + s*m**3 + n*m and give t. -2 Express 4 - 30*i**3 + 18*i**2 + 28*i**3 - 5 as g + t*i + u*i**2 + z*i**3 and give u. 18 Express (1 - 6 + 2)*(2 - 5 - 6*b + 5)*(-2 - 1 + 1)*(-4 + 2*b**3 + 4) as q*b**2 + n*b + g*b**3 + y*b**4 + o and give y. -72 Express (0*y - 3*y + 5*y)*(0*y**2 - 3*y**2 + y**2) + y**3 + 2*y**3 + 12*y**3 in the form d*y**3 + g*y**2 + w*y + i and give d. 11 Rearrange (-q + q - 2*q**2)*(-4*q - 2*q + 4*q)*(15 + 0 - 5) to x + j*q**2 + f*q**3 + b*q and give f. 40 Rearrange 53*x**2 + 51*x**2 + x + 2 - 107*x**2 to the form t*x + n + g*x**2 and give t. 1 Express 6*o**2 + 6*o - 2*o**2 - 2*o + 2*o as h*o + k + f*o**2 and give f. 4 Express -7 + 8 - 1 - 56*p as n + o*p and give o. -56 Express 16*m**2 - 14*m**2 + 1 + 1 in the form f*m**2 + c*m + s and give s. 2 Express 21*n**4 - 191*n**4 + 33*n**4 - 229*n**4 + (0 - 3 + 5)*(2 - n**4 - 2) in the form i*n**4 + h*n**3 + f + r*n + u*n**2 and give i. -368 Rearrange 5*l**2 + 5*l**2 - l**2 - 2*l**2 to the form j*l**2 + c*l + n and give j. 7 Rearrange 7*m**2 - 13*m**2 - 10*m**2 - 8*m**2 to the form w*m**2 + f + k*m and give k. 0 Express (4*x + 3*x - 4*x)*(x**2 - 5*x**2 + x**2) - 4*x + 4*x - 2*x**3 - 3*x**2 + 2*x as y*x**3 + t*x + z*x**2 + n and give y. -11 Express (5*m + 0*m - 4*m)*(2 - 2 + 2*m)*(12*m - 4*m - 3*m) in the form z*m + y*m**2 + b + q*m**3 and give q. 10 Express p**2 + p**2 - 6*p**2 + (-12*p - 11*p + 14*p)*(p + 4*p - 4*p) in the form b*p**2 + y*p + z and give z. 0 Express -2*t**3 + 0 + 0*t**3 + 3 - 4 - 2*t**2 as z*t + m*t**2 + u + f*t**3 and give u. -1 Express -6*q**2 + 3 - 4*q**2 - 3*q**4 + 0*q**2 - q + 9*q**2 as c*q**3 + a*q**4 + n + u*q**2 + k*q and give a. -3 Express 8*f - 116*f**2 + 2 + 42*f**2 + 43*f**2 + 38*f**2 in the form r*f**2 + l*f + m and give r. 7 Rearrange 0*j**3 - 5*j**3 + 9*j**3 + (3*j**2 + 2*j**2 - 3*j**2)*(-j - 2*j + 5*j) to the form r*j**2 + y*j + q*j**3 + l and give q. 8 Rearrange 0*d**2 + 2 + 2*d**2 - d**2 + (5*d - d + 4*d)*(-2*d - 2*d + 0*d) to the form m + a*d**2 + c*d and give a. -31 Rearrange 2 + 2*o + 0*o**3 + 0*o - 2*o**3 - 3*o**4 to d*o**2 + g*o + m + v*o**4 + z*o**3 and give g. 2 Express 19 - 3*z**4 + z**2 + z**2 - 3*z - 39 + 22 in the form f*z**3 + y*z + p + b*z**2 + r*z**4 and give p. 2 Rearrange (2*t + t**4 - 2*t)*(-4 - 4 + 6) + 11*t**4 - 9 + 9 to y*t**2 + j*t**4 + a + w*t + k*t**3 and give j. 9 Rearrange -8 + 15 + 2*r**3 - r - 7 to i*r**3 + o + a*r**2 + t*r and give i. 2 Rearrange -3*z - 21*z - 2*z + (3*z + z - 2*z)*(-5 - 1 + 2) to m + q*z and give q. -34 Rearrange 30*m**3 - 3*m - 20*m + 22*m to the form r*m**2 + h*m + y*m**3 + d and give y. 30 Express (-2 + 1 - 1)*(-4*s**2 + 0 + 0) + s**2 - s**2 + 2*s**2 as d*s**2 + h*s + p and give d. 10 Express 6*g + 8*g**3 + g - g - 7*g**3 in the form j + m*g + t*g**3 + f*g**2 and give t. 1 Express (4 - 3 - 4)*(0*i + 2*i - i)*(4*i + 2 - 2) in the form l*i + k + a*i**2 and give a. -12 Express u**2 + 2*u**2 + 49*u**2 as d + p*u + y*u**2 and give d. 0 Express -170*w**2 - 60*w**2 + 121*w**2 + (1 - 4 + 2)*(-3*w**2 + 2*w**2 - w**2) + 0*w - w**2 + 0*w in the form r*w + h
{ "pile_set_name": "DM Mathematics" }
7 Let g = -3 + 7. Suppose -5*v + i + g*i = -235, -i = -3*v + 137. List the prime factors of v. 3, 5 Let t(x) = -x + 7. Let o be t(7). Let b be ((-57)/(o - -3))/(-1). Suppose -2 = -3*d + b. What are the prime factors of d? 7 Let i = 14 - 7. Let g(p) = -p**3 + 8*p**2 - 4*p + 4. List the prime factors of g(i). 5 Let w be (-2)/(-1) - (2 + -1). Let o = w + 1. Suppose -m - 5 = -o*m. List the prime factors of m. 5 Let y = 127 + -62. List the prime factors of y. 5, 13 Let x(i) be the second derivative of -i**4/12 - i**3/2 + 3*i**2 - i. Let q be x(-5). Let h = -1 - q. List the prime factors of h. 3 Let j = 14 - 4. Let d(a) = -a**2 + 12*a - 12. List the prime factors of d(j). 2 Let q(k) = -k + 12. What are the prime factors of q(-10)? 2, 11 Let h(y) = -12*y - 14. List the prime factors of h(-5). 2, 23 Suppose -5*w = -2*g - 10, 3*w + 44 = -4*g + w. Let c(p) = -p - 7. What are the prime factors of c(g)? 3 Let x = 4 - 10. Let g be 0/2 - (x + 2). Suppose g*j = 27 + 5. What are the prime factors of j? 2 Suppose -5*n = -4*v - 392, -4*n + 355 = 2*v + 31. List the prime factors of n. 2, 5 Suppose -3*c - 207 = -m, 4*m + 2*c + 1087 = 9*m. What are the prime factors of m? 3, 73 Let p(z) = 2*z**2 - 2*z - 12. List the prime factors of p(6). 2, 3 Suppose 195 = 2*m - 221. What are the prime factors of m/20 + (-2)/5? 2, 5 Let n = -7 - -11. Suppose n*y - 32 = 4*o, -3*y + 0 = -2*o - 21. Suppose 5*h + 4*s = 35, s = h + y - 3. List the prime factors of h. 3 Let o = -23 + 8. Let m be o/(-3) + (-2 - 1). Suppose 3*p + 89 = 5*r, -p + 2*p - m = 0. List the prime factors of r. 19 What are the prime factors of (-21)/6*(-8)/14? 2 Let y = -108 - -266. What are the prime factors of y? 2, 79 Suppose -584 = -0*b - 4*b - 4*l, 0 = 2*b - 2*l - 308. List the prime factors of b. 2, 3, 5 Suppose x = 4*m - 6, -5*x = 5*m - 47 + 202. Let c = 24 - 12. What are the prime factors of (-8)/c + x/(-3)? 2 What are the prime factors of (0 - -1)/(10/1320)? 2, 3, 11 Let t(y) = -29*y - 1. List the prime factors of t(-1). 2, 7 Let n(p) = 7*p + p**2 - 5 + 3 + 0 + 4. List the prime factors of n(-10). 2 Let m = -10 + 15. Suppose u + 2 - 6 = 0, 0 = -m*w + 2*u + 262. List the prime factors of w. 2, 3 Let o be -3*27*2/3. What are the prime factors of 3 + 7/((-21)/o)? 3, 7 Let z(i) = 2*i - 8. Let q(m) = -m + 8. Let n(c) = -4*q(c) - 5*z(c). What are the prime factors of n(-6)? 2, 11 Let v be 4/(-6) + 6/9. Suppose 4*q - 25 + 5 = v. What are the prime factors of q? 5 Let s(z) = 4*z + 1. Let u = 5 - 3. List the prime factors of s(u). 3 Suppose 0 = 2*n - 5*a - 36, a + 54 = 3*n - 2*a. List the prime factors of n. 2, 3 What are the prime factors of ((-150)/50)/((-2)/((-154)/(-3)))? 7, 11 Let w be (2/(-6))/((-1)/9). Suppose -w*f + 84 = f. What are the prime factors of f? 3, 7 Suppose 2*k - 2*s = 108, 2*s = -s - 9. What are the prime factors of k? 3, 17 Let m(y) = 5*y - 1. List the prime factors of m(2). 3 Suppose -4*v + 3 = -5*v. What are the prime factors of 1/(v - (-102)/33)? 11 Let r = 184 + 98. What are the prime factors of r? 2, 3, 47 Let h = 41 - 25. What are the prime factors of h? 2 List the prime factors of 4008/30 - 4/(-10). 2, 67 Let j = -4 + 3. Let o = j + 3. List the prime factors of 0 - 0 - (o - 7). 5 Let p(n) = n**3 + 6*n**2 - 2*n - 9. Let g be p(-6). Let h(u) = 4*u**3 + 0*u - 12 - u**3 - 8*u**2 - 2*u**g + 3*u. List the prime factors of h(8). 2, 3 Suppose -10*p + 5*p + 15 = 0. Let k(w) = w**2 + 2*w + 2. Let l be k(-3). Suppose l*g - p = 2*d + 27, -24 = -4*g + 2*d. What are the prime factors of g? 2, 3 Suppose 3*t - 27 = 2*t. Suppose 3*y + 23 + t = 2*w, 2*y - 101 = -3*w. List the prime factors of w. 31 Let x(o) = 8*o - 2. Suppose -5*n + 30 = 5*t, n - 14 = 2*t - 7*t. Let v be x(t). Suppose 0*y + 5*r = y + v, 59 = 4*y + 3*r. List the prime factors of y. 11 Suppose 2*w - y = 6, 2*y = -4*w - 2*y + 24. List the prime factors of 445/35 - w/(-14). 13 Suppose -3*a + a = 0. Suppose 2*m + 2 - 16 = a. Let f = m + -4. What are the prime factors of f? 3 Let u = -20 + 20. Suppose -d - 5*g + 16 = u, -4*g - 1 = 2*d - 57. List the prime factors of d. 2, 3 Suppose 2*m - 50 = 2. Suppose -65 = -4*p - p + 2*r, 3*r = -2*p + m. List the prime factors of p. 13 What are the prime factors of ((-2)/(-4))/(1196/(-600) - -2)? 3, 5 Let h(d) = d**2 + 6*d + 5. Let p be h(-6). Suppose 0 = -p*b + 63 + 17. List the prime factors of b. 2 Let s = -80 + 114. What are the prime factors of s? 2, 17 Let n be (-1)/(1*3/(-9)). Let f be 38*(3/2)/n. Let b = f - 8. List the prime factors of b. 11 Suppose 3*g - g = 0. Suppose s = -t - 4*s + 27, t - 4*s - 18 = g. What are the prime factors of t? 2, 11 Let z = 70 + -28. What are the prime factors of z? 2, 3, 7 Let u(c) = -3*c**2 - 1 + 2 + 0*c - 2*c + 3 + 2*c**3. What are the prime factors of u(3)? 5 Let u = -10 - -1. Let v = u - -7. What are the prime factors of (-3)/6*48/v? 2, 3 Suppose 10 = -0*a + a. Let h = a - 7. Suppose 8 = h*t - 13. What are the prime factors of t? 7 Let r be (-2)/(-4) + (-15)/6. Let a be (r/(-4))/((-1)/(-14)). Suppose 5 = 5*t, 2*p - 2*t = t + a. What are the prime factors of p? 5 Suppose -y + 0*y - 2 = 0. Let j be (-12)/(6/y) - 1. Suppose j*l + 8 = -c, -3*c = -4*l - 41 - 0. List the prime factors of c. 7 Let y = -7 + 8. List the prime factors of 8 - (1 + (-1)/y). 2 Let p be (21/12)/((-1)/4). Let v(k) = 1 - 8*k**2 - 3*k - k**3 - 5*k - 5. List the prime factors of v(p). 3 Let d = -80 + 152. Suppose 192 = 5*x + d. List the prime factors of x. 2, 3 Let f = 263 + -77. List the prime factors of f. 2, 3, 31 Let p(f) = -f**2 + 13*f + 27. List the prime factors of p(13). 3 Let v be (-44)/2*(-2)/(-4). Let r(c) = c**2 + 9*c - 9. What are the prime factors of r(v)? 13 Let t = -6 - -11. Suppose 2*o - 12 = 2*u, -3*o + 4*u - 36 = -t*o. List the prime factors of o. 2, 5 Let k = -2 + 5. Suppose -k*z = -6 - 54. What are the prime factors of z? 2, 5 Suppose -4*s - h = 5, s + h + 20 = -3*h. Suppose s*m + 11 = m. What are the prime factors of m? 11 Let r(j) = -j**3 + 11*j**2 + 13*j - 11. Let n be r(12). List the prime factors of (n - (-1)/(-1)) + 21. 3, 7 Suppose -2*x + 2*o = 5*o - 219, -2*x + 2*o = -214. What are the prime factors of x? 2, 3 Let w = 4 - 7. Let b = 16 + -9. Let r = w + b. List the prime factors of r. 2 Let i(x) = -329*x**3 - 5*x - 5. What are the prime factors of i(-1)? 7, 47 Suppose 2 = 2*p + 6. Let m be (-5)/p - (-3)/6. List the prime factors of (1*m)/((-3)/(-18)). 2, 3 List the prime factors of 2/(2/(-285)*-5). 3, 19 Suppose 2*r - 304 = 324. What are the prime factors of r? 2, 157 Let n(r) = -r**2 - 24*r - 22. List the prime factors of n(-18). 2, 43 Let o be 12/7*7*1. Let i be ((-10)/(-8))/(3/o). Suppose -19 - 1 = -i*c. List the prime factors of c. 2 Let s(j) = 2*j + 5. Let q be s(0). Let n be 2/5 - 43/(-5). Let c = q + n. List the prime factors of c. 2, 7 Suppose -o = -4*c - 28, o + 164 = 5*o - 3*c. List the prime factors of o. 2, 11 Let i = -62 + 92. What are the prime factors of i? 2, 3, 5 Suppose -76 = -n + 9. List the prime factors of n. 5, 17 Let j be (-45)/(-4) - (-2)/(-8). Suppose 2*s = -3*s - 3*q + 8, -s + 6 = 5*q. Let m = j + s. What are the prime factors of m? 2, 3 Suppose z + 5*j = 58, -2*j + 146 - 4 = 4*z. Let f be 6/(0 + 6/z). What are the prime factors of ((-8)/12)/((-2)/f)? 11 Let b(h) = 7*h - 16. Let m(x) = 13*x - 31. Let l(g) = 11*b(g) - 6*m(g). List the prime factors of l(-8). 2, 3 Let c(v) = v**2 - 4*v - 5. Suppose 6 = 3*g + 15. Let i = 9 + g. What are the prime factors of c(i)? 7 Let p be 9/45 - 249/(-5). List the prime factors of (-526)/(-10) + 20/p. 53 Suppose -u = 3*c - 0*u - 113, 0 = 3*c - 4*u - 133. List the prime factors of c. 3, 13 Let l(n) = -n**2 + n - 3. Let y be l(0). Let i = -1 - y. Let p = i - -1. What are the prime factors of p? 3 Let o = 34 + -6. Suppose -2*t + 11 = -x, 3*x - 4*t + 45 = -2*t. Let g = x + o. List the prime factors of g. 11 Suppose 3*o + 3 = -5*z, 8 = 5*o + 4*z - 0. Let l(y) = y - 2*y - 4*y**3 - o - 2*y**2 + 5*y**3. What are the prime factors of l(3)? 2 Let g(x) = 17*x - 2. Let w be g(2). Let n = -22 + w. List the prime factors of n. 2, 5 Let r = -170 - -410. List the prime factors of r. 2, 3, 5 Let r = 8 + -4. Let h be 2/11 - (-84)/22. Suppose -2*v - r = -f, h*f = v + 4*v + 31. What are the prime factors of f? 2, 7 Let y be
{ "pile_set_name": "DM Mathematics" }
0 = -2*j. Let g be (32/j)/(2/(-5)). Solve 0 = 2*q + 2*q - g for q. 1 Suppose 4*m - u - 19 = 0, 5*u + 56 = 5*m + 21. Let d(l) = -l**3 - 5*l**2 + 6*l + 2. Let t be d(-6). Solve 2*g + t = m for g. 1 Let t(c) = 11*c. Let f be t(0). Solve f = -0*o + 2*o - 2 for o. 1 Let r(w) = 2*w**3 - 3*w**2 - 2*w - 3. Let k be r(3). Let l be ((-22)/(-3))/(4/k). Suppose 3*x - 36 = -3*o, -5*x = 3*o - l - 19. Solve 5*y - y = -x for y. -2 Let a = -15 + 10. Let n = -4 - a. Solve 0 = v - n for v. 1 Suppose 4*v - 1 = z, 3*v - 4 + 2 = 2*z. Let p be (-2 + 2)/z + 4. Solve p*c + 2 = -14 for c. -4 Let s = 33 - 26. Solve 2*d - s = -1 for d. 3 Suppose -12 = 98*y - 102*y. Solve 2 + 13 = -y*i for i. -5 Let n(a) = -a**3 + 5*a**2 + 2. Let k be n(5). Suppose -q - k*q = 0. Solve q*h = 3*h + 12 for h. -4 Suppose -5*r = -20 - 30. Let q be ((-6)/r)/(6/(-30)). Suppose -w = -9 - q. Solve -i - 3*i = w for i. -3 Let g(z) = 25*z**3 - z**2. Let r be (-3)/(-1) + (6 - 8). Let f be g(r). Solve 4*t = -4 + f for t. 5 Let o be (-11)/(-4) + 45/(-60). Solve 0 = o*v + 4 - 2 for v. -1 Let w be 3 + (1 - 2/1). Suppose -w = -2*r + 2. Solve r*v + 5 = 7*v for v. 1 Suppose 0 = -b + 6*b - 2*b. Solve d + 4 + 0 = b for d. -4 Let g(z) = -z**2 + 12*z + 2. Let u be g(12). Solve u*h = 3*h + 2 for h. -2 Let g(f) = f**3 - 3*f**2 + f - 3. Let s be g(3). Let v(j) be the third derivative of j**5/60 + j**4/24 + j**3 - 2*j**2. Let u be v(s). Solve u = -4*o + 2 for o. -1 Suppose 3*n - w + 2 - 10 = 0, -5 = -3*n + 4*w. Suppose d - n = -0*d. Solve d - 5 = 2*s for s. -1 Let w(t) = 7 - 3 + t**2 + 6 - 9*t - 2*t**2. Let n be w(-10). Solve b + 4*b = n for b. 0 Let v = 34 + -54. Let o be ((-15)/v)/((-2)/(-24)). Solve -o = 5*k + 6 for k. -3 Let y(w) be the third derivative of -w**6/120 - w**5/12 + 5*w**4/24 - 2*w**3/3 - w**2. Let d be y(-6). Suppose 3*o = -2*o + 20. Solve -o*b = -d*b - 4 for b. 2 Suppose -4*n - 4*v = 0, -2*v = -0*n + 4*n. Solve 2*p - p - 3 = n for p. 3 Let c = 3 - 0. Suppose -p = -c - 0. Let t be 6*(1 + -3)/(-2). Solve 3*v - p = t*v for v. -1 Suppose -3*t - 10 = -4*d, -2*t - 15 = -3*d - 8. Solve -2 - d = q for q. -3 Let k be 6*((-10)/(-2) - 4). Solve 5*m + 14 + k = 0 for m. -4 Suppose -z + 5*z = 8. Let k be (-2)/12 + (-62)/(-12). Solve z*f - k*f = -3 for f. 1 Let f(z) = z**3 + 2*z**2 + 2*z + 1. Let k be f(0). Solve -k = 2*r + 5 for r. -3 Suppose 2*j + 0*j = -j. Let m(w) = -w**3 - 6*w**2 + 4*w - 6. Let b be m(-7). Solve -b = -3*c - j*c for c. 5 Suppose -6*p = -p - 10. Solve -p*t + 4*t = -6 for t. -3 Let d be 2*(-1 + 0) + (20 - 16). Solve -d*o = 3*o for o. 0 Let n = 0 + 2. Suppose 2*g + 0 = -i - 4, 2*g = -n*i - 8. Solve 6 = 2*c - g for c. 3 Let b be (-1)/(((-3)/(-36))/(-1)). Suppose -6*a + 54 = -b. Solve -a = -4*r - 3 for r. 2 Suppose 2*k - 5*h = 20, h = 4*k - 0 - 4. Solve k*r = -3*r - 3 for r. -1 Suppose 0 = -3*s + p + 5 - 2, 5*p = s - 15. Suppose -5*d + 2*d = s. Let x = d + 3. Solve x*g - 2 = 4*g for g. -2 Let t(i) = i**2 - 6*i - 5. Let k be t(7). Suppose -3*s = u - s + 4, 0 = k*u + 5*s + 11. Solve -u*n - 2 = 4 for n. -3 Let c = 3 + 1. Solve 11 = c*v + 3 for v. 2 Let v be (-95)/19 - 20/(-2). Solve -10 = -3*z + v for z. 5 Suppose 6 = u + 2*u. Suppose l + z = 3, -l + u*l = 2*z + 9. Suppose -12 - 5 = -l*n + 4*w, -3*n = -2*w - 9. Solve 4*h - 5*h + n = 0 for h. 1 Let o(z) = z**2 + 5*z - 6. Let q be o(-6). Solve 0 = m + 3 - q for m. -3 Suppose -2*t + 6 + 2 = 0. Solve -t*r - 5 = r for r. -1 Let c(j) = 14*j**2 - 2*j + 23. Let t(l) = 5*l**2 - l + 8. Let p(y) = -4*c(y) + 11*t(y). Let r be p(-3). Let o = 6 + r. Solve -o*q + 3*q = 1 for q. 1 Let y(v) = v**3 - 2*v**2 + v + 2. Let u be y(2). Let d be (-22)/(-4) - (-36)/(-24). Solve 2*q - d*q = u for q. -2 Let m = 23 - 14. Let v = m - 7. Solve v*u + 2*u - 20 = 0 for u. 5 Suppose 2*i - 7*i + 75 = 0. Let x = i - 9. Suppose y - 2 = x. Solve 0*q = 4*q - y for q. 2 Let b(o) = -o**3 + 8*o**2 - 5*o - 8. Let j be (-46)/(-6) + (-6)/9. Let r be b(j). Solve -3*l + r = -9 for l. 5 Suppose 0 = 2*o - 2*z - 0*z - 6, -4*z = 3*o - 2. Solve -o = 3*i - 11 for i. 3 Suppose -w = -4*q + 2*w + 87, 0 = -5*q - 5*w + 135. Let s be 2 + -4 - q/(-4). Solve -4 = s*y - 24 for y. 5 Let r = -2 - -2. Suppose 0 = -4*t - r*t. Solve -q + 0 + 1 = t for q. 1 Let u be (-12)/36 - (-44)/6. Let d be 21/u*10/6. Solve d*m + 5 = -15 for m. -4 Let n be (32/3)/(10/15). Solve y - 5*y - n = 0 for y. -4 Let p(b) = b**3 + 16*b**2 + 2*b + 39. Let q be p(-16). Solve q*t = 4*t + 9 for t. 3 Suppose b + 0*b = 4. Suppose -4*q + 2*c = -c - 35, -2*q = -5*c - 35. Solve q*z = 3*z - b for z. -2 Suppose 3*k + 2*v - 53 = 0, -42 = -2*k - v - 2*v. Solve k = 5*s - 0 for s. 3 Let f(h) = 3*h. Let n be f(2). Let p(z) = -z**3 + 7*z**2 - 3*z + 7. Let s be p(n). Solve 0 = -d - 4*d + s for d. 5 Let v be 0/(-2)*(3 - 2). Suppose -9*o + 7*o + 4 = v. Solve 2*k + 4 = o for k. -1 Suppose -3*z - 6 = -6*z. Solve -4*h = -z*h + 8 for h. -4 Let t(f) = -f - 3. Let a be t(-6). Let x(b) = 8*b - 7. Let u be x(1). Let w be 6 + 2*(-1 + 0). Solve -a*o = -w + u for o. 1 Let o be (4 - (2 + -4)) + -4. Solve -o*j = -3*j for j. 0 Let j be 2/12 + 166/12. Let f = 0 + 6. Solve f = -4*l + j for l. 2 Suppose 4*h - 23 = -7. Solve h*a + 8 + 4 = 0 for a. -3 Let s(a) = 4*a**3 + a**2 - 3*a + 1. Let j be s(1). Solve -j = -5*c - 23 for c. -4 Let y be 27/15 + (-7)/(-35). Suppose -2*w = -3*w - 5*n + 20, 2*w = 4*n - 2. Solve w*h - y*h = -3 for h. -1 Suppose -11 - 4 = -3*p. Suppose -p*j = -j - 8. Solve j*u = -1 + 3 for u. 1 Suppose 4*u + 9 = -3*r, u = -5*r - 8 - 7. Suppose -10 - 15 = -5*v. Solve 0*c + v*c = u for c. 0 Let g = -35 + 49. Suppose 0 = -i + 4, 4*i = 4*p + 38 - g. Let m = p + 2. Solve m*s = 5*s + 5 for s. -1 Let v be (-4)/((-7)/2 - -3). Suppose -v = -l - l. Solve x + l = -x for x. -2 Let j = 13 - 9. Suppose -2*x + 4 = -2*s, -3*x + x + 2 = -j*s. Solve f = 2*f + s for f. -1 Let s = -29 - -32. Solve 20 = -s*f - 2*f for f. -4 Let v = -1 - -3. Suppose -2*w - l - 2 = -4*l, 0 = l - v. Suppose i - 6 = -3*p, 5 = 2*p + 3. Solve -i*t = -w*t + 5 for t. -5 Suppose 20 = -0*m - 3*m + a, -3*m - 8 = 5*a. Let l = 0 - m. Solve 3*o - 18 + l = 0 for o. 4 Let k(c) = 4 + c**3 - 3*c**2 - 4*c + 1 - 3. Let o be k(3). Let a = -5 - o. Solve -w + 0 = a for w. -5 Suppose -6*s = -4*s - 4. Solve -3*r - 10 = s*r for r. -2 Let c(b) = -6 + 0*b - 4*b**2 + 5*b**3 + 0*b - 4*b**3 + 2*b. Let k be c(4). Suppose 0 = -k*x - 2*x + 8. Solve m - x = 3 for m. 5 Suppose 8 = -3*r - 2*m, 5*r = -0*r - 3*m - 13. Let x = r - -3. Solve -x = -n - 3 for n. -2 Let n be 5*((-52)/20 + 1). Let v(g) = g**3 + 7*g**2 - 6*g + 18. Let k be v(n). Solve 7*d = k*d + 10 for d. 2 Let f(s) = -s**3 + 4*s**2 + 6*s - 3. Let j be f(5). Solve 2 = -j*o - 0 for o. -1 Let b(s) be the first derivative of s**4/4 + 2*s**3 - 7*s**2/2 + 4*s - 1. Let l be b(-7). Suppose l*o = 3*o + 2. Solve o*j = -0*j + 4 for j. 2 Suppose -13 = -4*x + 3. Suppose x*j = 5 + 11. Solve j*a = -a + 25 for a. 5 Let h = -2 - -12. Solve y = -h + 15 for y. 5 Let w be (1/2 + -2)*-2. Suppose j - w = 2. Let t = j + -3. Solve t = -4*s - 6 for s. -2 Let k be (-5)/35 + (-4 - (-60)/(-21)). Suppose 4*m - 9 - 7 = 0, -m + 16 = -2*x. Let a = x - k. Solve 5 - a = p for p. 4 Suppose 4*o = w + w - 20, o = -4*w + 22. Solve -3*f = -w*f + 6 for f. 2 Let c be 55/15 - 2/(-6). Let q be c/18*-3*-3. Solve -q*o - 3 = 1 for o. -2 Suppose -2*t - 16 = -6*t. Let w be (-3)/(-12) + (-15)/(-4). Solve -8 - w = t*a for a. -3 Let f be (6 + -5)/1*(1 - -2). Solve -f = -2*k + 1 for k. 2 Let p be (3 + 15)/(-4 + 2). Let f = p - -9. Solve f = 5*g - g + 4 for g. -1 Suppose 0 = -10*p + 5*p. Solve p = 5*b - 15 - 5 for b. 4 Suppose 4*a - 1 = -5. Let s(z) = 5*z**2 + z + 1. Let d be s(a). Suppose -29 = -d*i - 4. Solve -y + i = -2*y for y. -5 Suppose -l + x = 4*l - 41, l - 2*x = 1. Suppose 0*n + 5*n = -40. Let c = -3 - n. Solve -c*k + l + 11 = 0 for k. 4 Let k = 19 + -4. Suppose 3*c = -5*j + k, c = -2*j - 2*c - 3. Solve -16 + j = -2*o for o. 5 Let f(k) = -k + 6. Let i be f(5). Solve 16 = -5*d + i for d. -3 Let v = 20 - 26. Let s = -2 - v. Solve -2*h + 3*h - s = 0 for h. 4 Suppose -2*b - 4*r = -20, 0 = 2*b + 4*r - 5*r. Solve b*n = -9 - 1 for n. -5 Let h(o) = -o + 8. Let x be h(8). Suppose -5*p + 32 = 4*b + 8, 0 = 5*p + b - 21. Solve -12 = -x*r - p*r for r. 3 Let c = 51 - 46. Solve -o - 2 + c = 0 for o. 3 Let l = 8 - 5. Let s = -2 +
{ "pile_set_name": "DM Mathematics" }
ascending order. -228, -1, 0.3 Sort -2/7, -0.3, 11/2 in decreasing order. 11/2, -2/7, -0.3 Put -1, 2, -3, -13 in descending order. 2, -1, -3, -13 Sort 12, 4, 2.33 in decreasing order. 12, 4, 2.33 Sort -3/8, 46, 3, -2/3, -0.1 in descending order. 46, 3, -0.1, -3/8, -2/3 Sort -94, 4, -4 in decreasing order. 4, -4, -94 Sort 0.3, 5, -2/5, -3, 136 in descending order. 136, 5, 0.3, -2/5, -3 Put 0.91, -0.2, -0.1 in increasing order. -0.2, -0.1, 0.91 Sort -16, 0.2, 5, 0.3 in decreasing order. 5, 0.3, 0.2, -16 Sort 3, 13, 6 in descending order. 13, 6, 3 Put -36, -0.5, -210, 4 in descending order. 4, -0.5, -36, -210 Put -0.2, 0.1, -17/2, 5, 5/2 in decreasing order. 5, 5/2, 0.1, -0.2, -17/2 Sort -3, -9, 3, -4. -9, -4, -3, 3 Put 4, 43, -0.1 in decreasing order. 43, 4, -0.1 Put 24, -100, -0.1, 0.5 in increasing order. -100, -0.1, 0.5, 24 Sort -1/260, 1/6, 0.1. -1/260, 0.1, 1/6 Put 7, -1, 4, -2, 46 in descending order. 46, 7, 4, -1, -2 Put -2, -1, 30, 29 in descending order. 30, 29, -1, -2 Put -2, 5, 0, 3, 7 in increasing order. -2, 0, 3, 5, 7 Sort 4, 18, 8, 2 in descending order. 18, 8, 4, 2 Sort 3, 13, -2, 0, 4 in ascending order. -2, 0, 3, 4, 13 Put 3, -5, -14, 10 in descending order. 10, 3, -5, -14 Sort 4, 2, 1, -21 in descending order. 4, 2, 1, -21 Sort 0.1, 0.035, -2/47 in ascending order. -2/47, 0.035, 0.1 Put 2, -3/4, -9.77 in descending order. 2, -3/4, -9.77 Sort -3, -13, 7 in decreasing order. 7, -3, -13 Sort 0.01, -0.1, 3/5. -0.1, 0.01, 3/5 Sort -45/4, -0.1, 4, -2 in ascending order. -45/4, -2, -0.1, 4 Put -0.3, -1, 278 in decreasing order. 278, -0.3, -1 Sort -0.2, -3, 2/1903. -3, -0.2, 2/1903 Sort -8, 7, 8 in descending order. 8, 7, -8 Sort 89, 1/2, 2/9. 2/9, 1/2, 89 Sort 1/51, -0.11, 0.3. -0.11, 1/51, 0.3 Put 1, 4, -3, 0, -519 in increasing order. -519, -3, 0, 1, 4 Sort -4, 43, -5. -5, -4, 43 Sort -76, 1, 2/13. -76, 2/13, 1 Put 41, 1, -62 in increasing order. -62, 1, 41 Put 122, -1, 0 in descending order. 122, 0, -1 Sort 4, -75, 1. -75, 1, 4 Put 5, -5, -6 in descending order. 5, -5, -6 Sort -1, -294, 4, -5, 7 in descending order. 7, 4, -1, -5, -294 Put 4, 1, 7, -2, -6 in increasing order. -6, -2, 1, 4, 7 Sort 5, -5, 4, 53, 0 in decreasing order. 53, 5, 4, 0, -5 Sort -0.4, 11, 490. -0.4, 11, 490 Sort 2, -2, -50 in descending order. 2, -2, -50 Sort 15, -5, -10, 2/3 in decreasing order. 15, 2/3, -5, -10 Put 5, -1, 1 in ascending order. -1, 1, 5 Sort -3, 6, -18, -1, 3 in increasing order. -18, -3, -1, 3, 6 Sort -0.1, 0.054, 0, -1/9 in descending order. 0.054, 0, -0.1, -1/9 Sort 10, -3, -8, 0, 5 in ascending order. -8, -3, 0, 5, 10 Sort -3, 0.3, 1, 2, 0.2 in decreasing order. 2, 1, 0.3, 0.2, -3 Put 478, 2, -4, 0 in increasing order. -4, 0, 2, 478 Put -10, 1, 0 in descending order. 1, 0, -10 Sort -1/6, -0.4, 19, 2/7, 0.06. -0.4, -1/6, 0.06, 2/7, 19 Put -0.5, -4/7, 3, 12/11, 2/121 in descending order. 3, 12/11, 2/121, -0.5, -4/7 Sort -3, -49, -2, -0.02, 1/7 in decreasing order. 1/7, -0.02, -2, -3, -49 Sort 0, -12, -2, 2 in decreasing order. 2, 0, -2, -12 Sort -4, -38, 4, 5 in decreasing order. 5, 4, -4, -38 Sort -5, 2, -4, -3, 87. -5, -4, -3, 2, 87 Sort -1.4, -3, 2/7, -5 in decreasing order. 2/7, -1.4, -3, -5 Put -3, 0.5, -39, 1 in descending order. 1, 0.5, -3, -39 Sort 6/11, -0.12, 0.5 in increasing order. -0.12, 0.5, 6/11 Put -1, 2, 694, -3 in ascending order. -3, -1, 2, 694 Sort -604, -2, -3, -7. -604, -7, -3, -2 Sort -11, -0.12, -2 in decreasing order. -0.12, -2, -11 Sort -223, -3, -10 in increasing order. -223, -10, -3 Sort 5, -26, 1, 2, -4 in decreasing order. 5, 2, 1, -4, -26 Sort 520, 11, 0 in decreasing order. 520, 11, 0 Sort 2, 153, -13 in decreasing order. 153, 2, -13 Sort 14, 4, 1 in ascending order. 1, 4, 14 Put 4, 1/4, 2/11 in decreasing order. 4, 1/4, 2/11 Sort 0.03, 1, -3/8, -0.1. -3/8, -0.1, 0.03, 1 Put -17, 13, -2, 2 in descending order. 13, 2, -2, -17 Put -61, -3/5, 0.3 in decreasing order. 0.3, -3/5, -61 Sort -1, 123, -5, -3 in descending order. 123, -1, -3, -5 Sort -2, 12/293, -2/11. -2, -2/11, 12/293 Put 12, -0.2, 10 in increasing order. -0.2, 10, 12 Sort -7, -2, 7, -1 in ascending order. -7, -2, -1, 7 Sort 1.8, 2/11, -3/7 in increasing order. -3/7, 2/11, 1.8 Put 19, 0, 3, -4, 7 in increasing order. -4, 0, 3, 7, 19 Sort -4, 2, -1, -5, 12 in descending order. 12, 2, -1, -4, -5 Sort 15, 3, -2 in decreasing order. 15, 3, -2 Sort 2, 1, 0, 6 in increasing order. 0, 1, 2, 6 Put -1/2, 2/7, 1/2, -2, 1 in decreasing order. 1, 1/2, 2/7, -1/2, -2 Put -109, -3, -1, -4, 1 in increasing order. -109, -4, -3, -1, 1 Sort 3, -1/3, 2, 1. -1/3, 1, 2, 3 Sort 1, 3, -5 in increasing order. -5, 1, 3 Sort -6, -1.49, -3/8 in descending order. -3/8, -1.49, -6 Sort 18, 82, 0 in decreasing order. 82, 18, 0 Put -4, 25, -1 in decreasing order. 25, -1, -4 Sort 19, 13, -1, -4 in increasing order. -4, -1, 13, 19 Sort 3, 1, 17 in decreasing order. 17, 3, 1 Sort 0, -2/5, 2/9, 1/5, 3 in decreasing order. 3, 2/9, 1/5, 0, -2/5 Put 165, 0, -1, 1/7 in increasing order. -1, 0, 1/7, 165 Sort -1.6, -4, 2/17, 0, 4 in increasing order. -4, -1.6, 0, 2/17, 4 Sort 100, -3, 1/2, -0.3. -3, -0.3, 1/2, 100 Sort -10, 0.0208, -1/4 in increasing order. -10, -1/4, 0.0208 Sort 3, -1/13, 0.1, -4. -4, -1/13, 0.1, 3 Sort 1, -1, -3, 9 in descending order. 9, 1, -1, -3 Sort -2, 3, -50 in decreasing order. 3, -2, -50 Put 2, 0, 205 in ascending order. 0, 2, 205 Put -1, -3, 57, 9, 2 in ascending order. -3, -1, 2, 9, 57 Put 2, 10, -5 in ascending order. -5, 2, 10 Sort 4/5, 5, 32, 0 in increasing order. 0, 4/5, 5, 32 Sort -7, -10, -0.5. -10, -7, -0.5 Sort 1/4, 0.122, 4, -1, -0.5 in decreasing order. 4, 1/4, 0.122, -0.5, -1 Put -5, -282, 0.5 in decreasing order. 0.5, -5, -282 Put -3, 0, -1 in increasing order. -3, -1, 0 Put 2, -9, 179 in ascending order. -9, 2, 179 Sort -7, 1, -20, -1 in descending order. 1, -1, -7, -20 Put 6, -2, -6, 5 in descending order. 6, 5, -2, -6 Put -4, -1, -5, 362, -3 in decreasing order. 362, -1, -3, -4, -5 Sort -2, 2, 4, 1 in decreasing order. 4, 2, 1, -2 Sort 1, 6, 2, -1 in ascending order. -1, 1, 2, 6 Put 669, -5, -3 in descending order. 669, -3, -5 Put 4, 18, 2 in increasing order. 2, 4, 18 Sort -2, -151, -1, -15. -151, -15, -2, -1 Sort 2, 6, -4 in ascending order. -4, 2, 6 Sort 2/13, 3/595, 4 in increasing order. 3/595, 2/13, 4 Put 0.3, 5, -1, 27, 11 in decreasing order. 27, 11, 5, 0.3, -1 Put -1/6, -3, -3065 in descending order. -1/6, -3, -3065 Sort -136, -3, 0 in descending order. 0, -3, -136 Sort 2/13, 1/63, -0.1, -2/7, 2/3 in ascending order. -2/7, -0.1, 1/63, 2/13, 2/3 Put -4, -5, 5166 in descending order. 5166, -4, -5 Put -5, -7, 0, -3, 2 in decreasing order. 2, 0, -3, -5, -7 Sort 0.0743, -1/3, 2 in increasing order. -1/3, 0.0743, 2 Sort -7, 4, 2, 0, 5 in descending order. 5, 4, 2, 0, -7 Put 1, 8, 16, -2, -4 in ascending order. -4, -2, 1, 8, 16 Sort 65.69, 4, 5 in increasing order. 4, 5, 65.69 Sort -4, 6.33, -1/11, -2/7, 5/3 in descending order. 6.33, 5/3, -1/11, -2/7, -4 Sort 3, -2, -42, 0, 1 in increasing order. -42, -2, 0, 1, 3 Sort 17, 0.1, 0.03, 14/3 in ascending order. 0.03, 0.1, 14/3, 17 Sort 1/4, -2/9, 0.05, 4. -2/9, 0.05, 1/4, 4 Put 5, 2, -1, -10 in increasing order. -10, -1, 2, 5 Sort 1, -0.16, -70 in decreasing order. 1, -0.16, -70 Put 1, -198, 4 in ascending order. -198, 1, 4 Sort -2, -3, 615. -3, -2, 615 Sort -1, -4, 4, 13, -30 in descending order. 13, 4, -1, -4, -30 Put -1/8, -0.3, -0.02 in increasing order. -0.3, -1/8, -0.02 Put 5, 0.12, 0.4, -3/2 in decreasing order. 5, 0.4, 0.12, -3/2 Put -10, 5, -1, 4 in decreasing order. 5, 4, -1, -10 Put 1, -2/25, 1/35, -2/3 in descending order. 1, 1/35, -2/25, -2/3 Put -2, -0.02, 5, 3/7 in increasing order. -2, -0.02, 3/7, 5 Put -0.3, 513, 2, 7 in ascending order. -0.3, 2, 7, 513 Put -0.2, -5, 1/4, 0.5, 0.16 in decreasing order. 0.5, 1/4, 0.16, -0.2, -5 Sort -2, -11, -3. -11, -3, -2 Put -2, 3, -102/5 in ascending order. -102/5, -2, 3 Sort 3, -154, 0. -154, 0, 3 Put -4, 4, 3056, -1 in increasing order. -4, -1, 4, 3056 Sort -169, 2, 0 in descending order. 2, 0, -169 Sort 4, -3, -28 in descending order. 4, -3, -28 Sort -4, -1, 0, 4 in decreasing order. 4, 0, -1, -4 Put 2, 7, 6, -1 in descending order. 7, 6, 2, -1 Sort 40, -1/2, 3 in descending order. 40, 3, -1/2 Sort -0.5, -2/19, 0.01, -0.04. -0.5, -2/19
{ "pile_set_name": "DM Mathematics" }
actor of h? False Suppose -5*j + 36765 + 60939 = -3*t, 0 = -j - 3*t + 19530. Does 35 divide (2/(-6))/((-39)/j)? False Let h(w) = -w**2 - 40*w - 71. Let s be h(-38). Suppose -8*u + 2*j + 132 = -7*u, 0 = u - s*j - 135. Is u a multiple of 7? False Let g(p) = p + 98 - 4*p - 8*p - 19*p. Does 7 divide g(0)? True Let o be (-8)/10 - ((-1798)/10 + 2). Let c = o - 72. Is 22 a factor of c? False Suppose -3720 = 17*f + 7*f. Let m = f - -163. Does 7 divide m? False Let y be (16/(-10))/(9/(-45)). Is 20 a factor of 1170/(5 - y)*(-12)/18? True Is 177 a factor of 2/(-5) - 979777/(-205)? True Suppose -s = -6*s. Suppose 4*u - 3*o + 23 + 16 = s, 19 = u + 5*o. Is (-18 + -9)/(u/4) a multiple of 18? True Suppose -7*t + 14*t = -42. Is 7 a factor of 4/(-8)*t - -129? False Let t be (-2 + (-4 - -6))/2. Suppose -5*q - 416 = -1356. Suppose 4*f + 216 = 8*f - 2*m, 4*f + 5*m - q = t. Is f a multiple of 34? False Suppose 0 = 3*w - h - 12435, -4452 + 311 = -w - h. Does 9 divide w? False Let x(t) = -t**3 - 17*t**2 + 16*t - 44. Let q be x(-18). Is -6 + q/(24/(-2367)) a multiple of 28? False Let g be -4*(-7)/(-224) - 121/(-8). Suppose -4574 = -g*l + 9916. Is 9 a factor of l? False Let o(g) = -2*g**3 + 23*g**2 - 4*g + 31. Let y(v) = -v**3 + 24*v**2 - 5*v + 32. Let z(j) = 3*o(j) - 4*y(j). Does 12 divide z(-16)? False Let g(i) be the first derivative of -77*i**2 - i - 1. Let z be g(-1). Suppose -z - 215 = -2*b. Is b a multiple of 40? False Suppose -c + 45 = -3*o, -4*o - 76 = -2*c + 8. Suppose -2*u = c*w - 38*w + 874, 445 = w - 3*u. Is w a multiple of 13? False Suppose -175*g = -3813678 + 715128. Is g a multiple of 78? True Let c(d) = 8*d**2 - 8*d + 4*d - 22 - 14. Is c(-4) a multiple of 12? True Let h be 2 + -2 + 5 + 685/(-5). Does 96 divide (-5745)/(-10) + (h/(-8))/11? True Let y = 175 + 49. Suppose -3136 = -3*i + y. Is i a multiple of 32? True Is 645*(3472/48 - -3) a multiple of 226? True Let p = -2954 + 5427. Does 36 divide p? False Suppose 4*f + 2*v = -1114, 4*f + 1564 - 447 = -v. Let i = f + 632. Is 22 a factor of i? True Let b(r) = -r**3 + 12*r**2 - 19*r + 15. Suppose 3*f - m = -63, f + 3*f + 92 = 4*m. Let j = f - -30. Is 5 a factor of b(j)? True Suppose r + 4*h = -2*r + 1582, h - 1579 = -3*r. Let c = 543 - r. Is 4 a factor of c? False Let r = 247 - -26. Let o = 601 - r. Is o a multiple of 41? True Let k = -54 + 33. Suppose 5*x = -3*s + 218, 250 = 5*x - 0*x - 5*s. Let c = k + x. Does 25 divide c? True Does 150 divide 18/(-5)*552250/(-282)? True Suppose 0 = 2*j + v - 14, -j + 2*v + 44 = 4*j. Suppose j*l + 157 - 1501 = 0. Is 24 a factor of l? True Let r be 4/(-14)*(2 - -5). Let s(l) = -622*l + 52. Does 110 divide s(r)? False Suppose 15*y - 96 = -y. Suppose -o = y*o - 133. Does 4 divide o? False Suppose 0*s - 39 = -13*s. Is (2 - s)/((-1)/(-36)*-3) a multiple of 3? True Let n = -1878 + 3096. Suppose 798 = 8*x - n. Does 7 divide x? True Let v(r) = 11*r**2 + 5*r. Let z(n) = -7 + 14 - 7 - 22*n**2 - 9*n. Let l(m) = -11*v(m) - 6*z(m). Does 7 divide l(2)? True Is 3 a factor of (-197 - -190)/((-2)/382)? False Let d(z) = -238*z + 208. Is d(-17) a multiple of 97? False Let p = -346 - -346. Suppose -d + 193 + 301 = p. Is d a multiple of 38? True Suppose -2*f = 12, 15*k + 22615 = 20*k + 5*f. Does 82 divide k? False Suppose -370*j + 15912 = -353*j. Is 26 a factor of j? True Let t(w) = 40*w**2 + 39*w - 151. Is t(4) a multiple of 5? True Let l(u) = u**3 - 14*u**2 - 2*u + 31. Let f be l(14). Suppose -503 = -f*o - y, 0 = -4*o - o - 4*y + 829. Is 14 a factor of o? False Let m = -543 - -550. Suppose -f - 7128 = -m*f. Does 54 divide f? True Let z = -19026 + 20057. Is 12 a factor of z? False Let f be (2/9)/1*18. Is (359 + -6)/(2/f) a multiple of 5? False Let p(j) = 7*j + 18. Let w be ((52/8)/13)/((-1)/(-6)). Does 11 divide p(w)? False Let o(w) be the third derivative of w**5/120 - 3*w**4/8 - 3*w**3 - 12*w**2. Let x(u) be the first derivative of o(u). Is x(21) a multiple of 6? True Let v(z) = z**2 - 22*z + 563. Is 50 a factor of v(76)? False Let l = 3362 - 2587. Does 5 divide l? True Let z(c) = 5*c**2 + 2*c - 3. Let t be z(1). Suppose -10*w = -t*w - 630. Suppose -4*s + w = -127. Does 11 divide s? False Let p(y) = 441*y + 1135. Is 155 a factor of p(15)? True Let s = 33355 + -19505. Is 8 a factor of s? False Suppose -3*y + 33815 = u, -u = 3*u + 2*y - 135340. Does 247 divide u? True Let u = -101 - 40. Let g = 169 + u. Is 2 a factor of g? True Let w(t) = -7*t**3 + 5*t**2 + 6*t + 10. Let n(g) = 8*g**3 - 6*g**2 - 6*g - 11. Let b(f) = -5*n(f) - 6*w(f). Is b(6) a multiple of 23? True Suppose 16*n = -6*n + 242. Let y(w) = w**3 - 8*w**2 + 12*w + 5. Is y(n) a multiple of 50? True Let m(r) = r**2 + 9*r - 13. Let w be m(-13). Let x = 48 - w. Suppose -x*k + 88 = -236. Is 18 a factor of k? True Is 128 a factor of ((-2928)/14)/(1146/(-85568))? True Let j = 29865 + -13409. Is j a multiple of 5? False Suppose 0 = 5*z - 1805 - 9370. Does 149 divide z? True Let p(d) = d**2 - 12*d + 14. Let w be p(4). Does 31 divide 6700/w*-1 - 4/18? True Let u be 202*(38/(-6) - -5)*-3. Let g = u - 358. Is g a multiple of 45? True Suppose 17 = 3*t + f, -7 + 4 = -2*t + f. Suppose v = -t*h - 94, 5*v + 110 = -8*h + 3*h. Does 19 divide 2 - (-70 + h/6)? True Suppose -8 - 5 = -y - 4*j, y = -3*j + 11. Suppose 75 = y*a - 0*a. Is a a multiple of 3? True Suppose -24*f = -0*f - 72. Suppose f*q = o - 123, -5*q = 5*o - 266 - 249. Is o a multiple of 9? True Let h(t) = -t**3 - 15*t**2 + 7*t - 48. Let b be h(-15). Let y = b + 159. Is y a multiple of 3? True Let w be (3363/354)/(1 + (-2)/4). Suppose -k = -4*p + 79, 4*p + 3*k = 78 + 21. Let m = p + w. Does 10 divide m? True Let u be (1 + (-8)/(-10))*(-15)/(-9). Does 20 divide -1946*5/(u + -8)? False Let k be (-204*1)/(-41 + 39). Let r = -22 + k. Does 12 divide r? False Suppose q - 313 - 808 = -g, 4463 = 4*q - 3*g. Let h = q - 474. Does 46 divide h? True Let w = 51 - 126. Let i = w - -123. Is 16 a factor of i? True Is 182 a factor of (-19 - 2) + 1370964/76? True Suppose 12 = 2*z - 18. Suppose z = 5*k + 25. Is 42/(k - (-4)/8)*-2 a multiple of 40? False Let t = 13246 + -12747. Does 12 divide t? False Let s(v) = -24*v + 19. Suppose -3*g - 2 = -i - 4, 3*g = -3. Let b be s(i). Suppose 64 = 140*t - b*t. Is t a multiple of 16? True Let m(f) = f**3 - 40*f**2 + 3*f - 30. Let p be m(40). Suppose -2*i + 195 = -5*b, b - 6*b - p = -i. Is i a multiple of 16? False Suppose 0 = d - 43 + 7. Suppose 2*t + q - d - 58 = 0, 5*t - 4*q = 248. Is 28 a factor of 2/6 - (-2672)/t? True Let z = -4364 - -7640. Is 126 a factor of z? True Let r be (5*15/10 + -5)*10. Suppose r = o - i, 5*o + 4*i = -3 + 146. Is o a multiple of 6? False Suppose -64614 = -24*z - 26862. Is z a multiple of 13? True Let v(d) = -3*d + 21. Let q = -13 - -19. Let p be v(q). Is 2/(-8) - p/((-24)/1570) a multiple of 16? False Let d(g) = g**2 - 11*g + 66. Let b be d(12). Is 9 a factor of 299/3 + b/(-117)? True Let z(r) = 121*r - 60*r + 41 - 57*r - 4*r**2 + 3*r**2. Is 3 a factor of z(5)? True Suppose 869*z - 810810 = 836*z. Is 78 a factor of z? True Suppose -n - 33 = -5*i - 757, 3*i = n - 734. Is n a multiple of 16? False Let g = 3708 - 2107. Suppose -620 - g = -3*l + 5*q, -1482 = -2*l + 4*q. Is 67 a factor of l? True Let d(r) = -r**2 - 12*r - 32. Suppose 35 = -5*p - 0. Let o be d(p). Does 45 divide 286/(6 - o - (-3 + 5))? False Is 60 a factor of 8/10 + (-123650204)/(-2495)? True Let c(u) = -135*u - 1247. Is c(-28) a multiple of 108? False Suppose 0 = -2*x + 3*z + 29865, -5*x + 3*z = 4*z - 74688. Does 40 divide x? False Suppose 20*x = 9451 + 5089. Let w = -617 + x. Does 5 divide w? True Let t be (5 + -2)*(-4)/(-3). Suppose -5*n + 4*n - 3*l = 7, -5*l = -t*n + 23. Suppose n*j - 91 = -13. Is 13 a factor of j? True Let k(s) be the third derivative of -s**6/120 + s**4/8 + s**3/3 + 21*s**2. Let g be k(-1). Suppose -j + 5*x + 57 = 0, -x + g*x - 4 = 0. Does 7 divide j? False Let n(l) = 1290*l**2 + 1189*l + 1. Does 13 divide n(-5)? False Let i(s) = 51*s + 782. Is 68 a factor of i(-6)? True Does 73 divide -18 + 5 + 8 + (-7)/((-7)/3655)? True Suppose 3*c = 2*i - 1658, -5*i - 6*c = -11*c - 4150. Suppose i = 8*m - 88. Is m a multiple of 11? False Suppose -42*k + 108360 = k. Is 90 a factor of k? True Suppose 24802 = 2*o + 5*s - 62067, -4*o + 173780 = 4*s. Is o a multiple of 51?
{ "pile_set_name": "DM Mathematics" }
. What is the nearest to 0 in 2/13, -3, i? 2/13 Suppose 0 = -4*b + 3*b + 4*y - 240, -5*y + 949 = -4*b. Let z = b + 236. What is the nearest to z in 2, -1/3, 1/76? 1/76 Let r = 5.336 + -0.336. What is the nearest to 2 in 6, 2/9, r, -2/5? 2/9 Let i = 783.8 - 784. Which is the closest to -3/13? (a) -14 (b) 4 (c) i c Let d = 0.23804 + -3.23804. What is the closest to 0.1 in -9/35, 2/9, d? 2/9 Let t = 38952 + -38914.962. Let x = t - 37. Let w = 3.962 + x. What is the closest to 0 in -2/11, w, 0.2? -2/11 Let h = -22.5 + -3.5. Let l = -27 - h. Let i be (3 + -2)/(1/((-3)/(-12))). Which is the closest to -2/5? (a) l (b) -0.14 (c) i b Let b = -5455 - -5452. What is the closest to -0.1 in b, -0.2, -229? -0.2 Let z = 2 + -2.3. Let d = 4.345 - 1.92. Let o = -0.575 - d. Which is the closest to z? (a) o (b) 5 (c) 2 c Let j = 3792 + -3753. Which is the nearest to 1? (a) -1/6 (b) -90 (c) 0 (d) j c Let f(t) = -t**3 - 43*t**2 + 94*t + 166. Let z be f(-45). Which is the closest to 0? (a) -6 (b) 1/3 (c) z b Let j(k) = -2*k**2 + 12*k - 5. Let s(u) = 5*u - 74. Let z be s(16). Let m be j(z). Which is the closest to -1? (a) -1 (b) m (c) 4 a Let t be 12/54*-3*1. Let s = 0.01 - -0.29. Let m = -5836 + 5838. Which is the closest to s? (a) m (b) 1/7 (c) t b Let w(n) = -n**2 + 37*n - 317. Let i be w(23). What is the nearest to i in -2, 1.67, 3? 3 Let w be 3 + (-28 - -31) + (-3 - 1). Which is the closest to -1? (a) w (b) 0.2 (c) -0.06 c Let n = -2 + 4. Let a = -0.092 - -0.732. Let i = -0.34 + a. What is the closest to n in i, 0, 2? 2 Let t = 5.1 + -5.6. Let y be 3 + 1 + (-186)/48. Which is the closest to 0.1? (a) y (b) -5/11 (c) t a Let n be 3*-1*32/12. Let b be 33/3 - (-1980)/(-176). What is the nearest to 2 in b, n, -5? b Let v = 3 + -6. Let k = 426.97 + -427. What is the closest to -1 in v, k, 0.1? k Let y(r) = -r**3 + r**2 + r + 5. Let s be y(0). Let i be 4/12*2*-3. Let p = 1860/247 + -146/19. Which is the closest to i? (a) -4/7 (b) s (c) p a Let v = 8417 - 8415. Let f = 1.1 + 3.9. Which is the nearest to f? (a) 4/9 (b) 1/5 (c) v c Suppose -3*s = 2*s - 5*q + 60, 0 = 3*q - 6. Let f be (-12 - s) + (-57)/(-24). Which is the closest to -0.1? (a) -2/3 (b) 4/5 (c) f (d) 0.5 c Suppose -3*q + 2*g = 0, 111*q + 20 = 107*q - 4*g. Let r = 1.8 - -0.2. What is the nearest to 4 in 3/2, q, r? r Let i(h) = 9*h**2 - h - 20. Let g be i(5). Let v be (0 - (-12)/(-21))*(-140)/g. Which is the closest to -1/2? (a) 0.1 (b) v (c) -1 c Suppose -7*i + 530 = 33. Let l = 70 - i. Which is the closest to l? (a) -17 (b) -1/6 (c) 0 b Let x = 627.8 + -113.8. Let n = 515 - x. What is the closest to 15 in -3, n, -1? n Suppose -3*q + 5 = 5*f + 136, 4*q + 30 = -2*f. What is the closest to -1 in 8, 6/13, f, -2? -2 Let b be (396/(-88))/(9/(-10)). What is the nearest to b in -2/7, -0.9, 4? 4 Suppose 5*m + 4*n = 38, -3*m - 15 = -54*n + 51*n. What is the nearest to 4 in -0.4, 0.2, 1, m? m Let d = 138 - 121. Let l be (d/51)/(10/6). Which is the closest to 7/2? (a) l (b) -3 (c) 3 c Suppose -19*i - 44 - 24 - 8 = 0. Which is the nearest to 4? (a) -93 (b) i (c) 0 c Let a = 1.40968 - -2.59032. Let t = -0.43 - -0.4. Let o = 0.11 - t. What is the closest to o in 0.5, a, -1/4? 0.5 Let n = 48910.1 + -48909. Let i = -1 + 2. What is the closest to -2 in n, i, 3? i Suppose -5*p + 88 = -4*n, 3*p - 38 = 3*n - 8*n. Suppose 6*v + 770 = p*v. Let y be 14/v + (-2)/11. Which is the closest to y? (a) 0.03 (b) 6/5 (c) -2/13 a Let h = 33164.96 - 33165. What is the closest to 0 in 1/6, 2, h? h Let d be (-533)/59 - (-693)/77. Which is the closest to 2? (a) 5 (b) d (c) -0.06 b Let m(u) = -u**2 + 34*u - 66. Let n be m(2). What is the closest to n in -4, 40, -0.5, -5? -0.5 Let h = 15653 + -15622. What is the nearest to 1 in 3, -5, -0.1, h? -0.1 Let i be (-6*4/30)/(5/(108 - 8)). What is the closest to -7 in 1, 3, i? 1 Let j = 5069 - 5068. Which is the nearest to -0.16? (a) j (b) -5 (c) 5/6 (d) 2 c Let k = 6.271 - 6.771. Which is the nearest to 532? (a) -5 (b) -2/13 (c) k b Let u = 12771 - 12771.1. Which is the closest to 0? (a) 1/3 (b) -1 (c) 2.5 (d) u d Let p = -6093.1 + 6097.1. Let z = 0 - 0.1. Which is the nearest to z? (a) p (b) 0.1 (c) -1 b Let w = 2.3444 - 2.2744. What is the closest to 17 in -1/3, 4, w? 4 Suppose -5*s = -45, 3*f + 4*s + 470 + 10 = 0. What is the closest to 8 in 0.2, -2/7, -3, f? 0.2 Let d = 26 + -68. Let z = 46.7 + d. Let w = 4.6 - z. What is the nearest to 2 in -0.3, w, 0.4? 0.4 Let m = -1.6 + 1.2. Let h = 1.5578 + -1.6178. Let v = 0.2 - -0.8. Which is the closest to v? (a) m (b) h (c) -2/3 b Let p(f) = f**3 - 5*f**2 - f + 6. Let g be p(5). Let z = -2707 - -2707. Which is the closest to g? (a) z (b) 1 (c) -0.5 (d) -5 b Let m = -16905 + 16897. Which is the nearest to m? (a) -2/13 (b) 116 (c) 5 a Let k = 564.58541 + 0.41459. What is the nearest to 13 in 3, -5, k, -0.1? 3 Let i = 0.216 + -2.406. Let o = 2.21 + i. Which is the closest to -0.1? (a) -2/3 (b) -1 (c) o c Let p = -509 - -484.9. Let j = p - -23.6. Let r be (-2)/(-8) - (-7)/4. What is the closest to r in j, -2, -0.3? -0.3 Let l be (-4 + (-117)/(-27))/(-2 + (-164)/(-84)). Which is the nearest to -2/11? (a) -2/7 (b) 0 (c) l (d) -12 a Let z = -108.4 - -108.2. Which is the nearest to z? (a) 1 (b) 0.2 (c) -1/2 (d) -5 c Let y = 726 + -502. Let j = -1793/8 + y. Which is the nearest to 0.3? (a) 0 (b) j (c) -3 a Let c(l) be the third derivative of -l**6/120 - 11*l**5/60 + 13*l**4/12 - 5*l**3/3 + 22*l**2. Let r be c(-13). What is the nearest to 0.2 in 5, r, -4? -4 Let i = 8489/7 + -1213. What is the closest to i in -3, -15, 0? 0 Let z = -9588 + 9590. Let n = -3.2 - 0.8. Which is the closest to -7? (a) -5 (b) n (c) z a Let u = 4 + -4. Let y = -4/33 + 5/11. Let m = 147 - 150. What is the nearest to -1 in m, u, y? u Let t = -0.00324 - -0.00324. Which is the nearest to 0.4? (a) 3/5 (b) 3 (c) 5 (d) t a Suppose -36*q + 31*q + 25 = 0. Which is the nearest to q? (a) -3/2 (b) 0.5 (c) -3/5 b Let h = 0.09221 + 0.20779. Which is the closest to -1? (a) 1/13 (b) -0.18 (c) 3 (d) h b Let k = -3.16 - -7.16. Which is the nearest to k? (a) 1/12 (b) 11 (c) -5 a Let j = -99.954 - 0.046. Let y = j - -97. What is the closest to y in 1/3, 5, 1/7? 1/7 Suppose 0*u = -3*u. Suppose -8 = -2*m - l - 2*l, -3*m - 4*l + 12 = u. Let q = -2308 + 2306. What is the nearest to q in 0.4, m, 3? 0.4 Let w = 8221.9 + -8222. What is the closest to w in 0.4, 5, 61, -3? 0.4 Let p = 180604.6 + -180605. Let o be (1458/(-20))/(12/10). Let q = 61 + o. Which is the closest to q? (a) -1 (b) 1 (c) p c Let u = -500 - -500.64. Let l = -0.66 + u. What is the nearest to 1 in 0.4, l, 1/2, 2/7? 1/2 Let z = -34.4 - -34. Let t = 0.87 - 0.41. Let k = -1.46 + t. What is the nearest to -2 in -2/7, z, k? k Let j = 3330 + -3329. What is the closest to 4 in -1, j, -40/9? j Let z(y) = -18*y - 1003. Let s be z(-56). What is the closest to s in -1/3, 44/3, 2? 2 Let p = -736/2527 - -2/361. Let f = -2399 + 1666. Let q = f + 729. Which is the closest to 3? (a) 3 (b) p (c) q a Let n = 0.06 - 0.23. Let g = n - -0.17. Let q be (-28)/(-36)*-3 + 3. Which is the nearest to 1? (a) q (b) -0.4 (c) g a Let p be 1/4 + (-75)/75. What is the nearest to -0.1 in p, -4/321, 2? -4/321 Let w = 127/234 - 5/117. Let u = 2/3 + -4/3. Let d = -8 + 2. What is the closest to d in 1/10, w, u? u Let g be (-3)/(-23)*(-272)/408. Which is the nearest to -28? (a) 0 (b) -0.2 (c) g (d) 5/2 b Let c = -1199/9 - -133. Let y = -1.6 - 0.07. Let s = y - 0.33. What is the closest to -0.1 in c, s, 2/11? c Let f = 9.2 + -9. Let d = 22 + -219/10. Let k = 37281 - 37286. What is the nearest to 0.28 in k, d, f? f Let a be -5*4/(-110) - (-64)/616. What is the closest to 3 in a, -0.05, -4, 0.03? a Let l = -0.8 - 2.2. Let o be 3*(58/812)/(12/406) + -7. Which is the nearest to -3/5? (a) l (b) -2 (c) o c Let r = 369994 + -369989. Let g = -0.06 + -2.94. Which is the closest to -0.1? (a) r (b) -5 (c) 0.1 (d) g c Suppose 2*u - 3*u = -1, 0 = 3*n - u - 14. Let s = 7 + -7. Which is the nearest to 0.1? (a) n (b) 11/3 (c) s c Let l be 0 + ((-4)/3)/((-96)/108). What is the nearest to 0.2 in -2, -4, l, -3/5? -3/5 Let k = 5.4938 - 0.4938. What is the nearest to 2 in k
{ "pile_set_name": "DM Mathematics" }
d to 3 dps? -0.003 Let s = -23 + 43. Let y = 459213.0011 + -459193. Let i = s - y. Round i to 3 dps. -0.001 Let n = 15.31 + -19. Let p = n - -4. What is p rounded to 1 decimal place? 0.3 Let z(j) = 2639*j**3 - j**2 - 2*j - 2. Let m be ((-4)/(-6))/(12/(-18)). Let x be z(m). What is x rounded to the nearest 100? -2600 Let r(z) = 7*z**3. Suppose 4*u = 2*q, -5*u - 3 = 2. Let j be r(q). Round j to the nearest ten. -60 Let i = -0.03 - -0.05. Let m = i - 0.026. What is m rounded to 2 decimal places? -0.01 Let d = 734.79 + -734.726078. Let w = 0.064 - d. What is w rounded to five decimal places? 0.00008 Suppose -4 = -i + 31. Let l(m) = 2238*m + 22 - 13055*m - i. Let j be l(11). Round j to the nearest ten thousand. -120000 Let a(t) = t**2 + 10*t + 5. Let g be a(-10). Let o(j) = -151*j**3 - 5*j**2 - j + 5. Let w be o(g). What is w rounded to the nearest 10000? -20000 Let c = -6 + 74. Let b = c - 70.9. Round b to 0 decimal places. -3 Let n = 5.1192269 + -4.91122773. Let p = n - 0.208. Round p to seven dps. -0.0000008 Let k = -9 - -8.7. Let v = k - 0.03. What is v rounded to one dp? -0.3 Let r = 65 - 64.33. Round r to one dp. 0.7 Let d(j) = -4*j**3 - 4*j**2 - j - 6. Let y be (-20)/(-4)*(-1 - 0). Let v be 1 - y*(2 + -1). Let u be d(v). What is u rounded to the nearest 100? -1000 Let q = 49 - 53.5. What is q rounded to the nearest integer? -5 Let s = 1191.73 + -1200. What is s rounded to the nearest integer? -8 Let b = 0.58 + 0.1. Round b to 1 decimal place. 0.7 Let g = 1 - 1. Let c be -2 - (19501*-2 - g). Suppose c = y - 2*y. Round y to the nearest 10000. -40000 Suppose 3*b = 22331631 - 81731631. What is b rounded to the nearest one million? -20000000 Let d = 80 - 50. Let z = d + -30.0000054. What is z rounded to 6 dps? -0.000005 Let j = -0.91 - -3.29. Let t = j - -0.02. Round t to the nearest integer. 2 Let t = -184 + 1704. Let n = t - 2570. Round n to the nearest one hundred. -1100 Let s = 55353564.000019 + -55353533. Let v = 30.926 + 0.074. Let n = s - v. Round n to five decimal places. 0.00002 Let r = -1947.78 + 1929. Let g = 19 + r. Round g to 1 dp. 0.2 Let d = -71 - -70.927. Let c = 6.173 + d. What is c rounded to the nearest integer? 6 Let q = -13.6 - -13.60000127. What is q rounded to seven decimal places? 0.0000013 Let v = 998.769 + -1054.69. Let n = v - -56. Round n to 2 decimal places. 0.08 Let l(n) = 9689*n**2 + 8*n + 15. Let v be l(-17). What is v rounded to the nearest one million? 3000000 Let q = 0.02 - -1.98. Let j = -1.996 + q. Round j to 2 decimal places. 0 Let f = 0.24 - 0.2399864. What is f rounded to 6 dps? 0.000014 Let p = -309.0835 + 309. What is p rounded to two decimal places? -0.08 Let h = -45.22 - -46. Let l = h - 0.779953. Round l to five dps. 0.00005 Let c = 0.18 - 0.1771. What is c rounded to three decimal places? 0.003 Let z(t) = -2*t - 6. Let q be z(-5). Suppose -q*p = -3*v + 70, 2*p = 5*v - 26 - 114. Let u be (12/v)/((-2)/(-250)). What is u rounded to the nearest 10? 50 Suppose 0*n + 19800 = 3*n. Suppose -5*m = -4*m + n. What is m rounded to the nearest 1000? -7000 Let x be -5 + (-2075980)/(20/5). Round x to the nearest 100000. -500000 Suppose 5*g - 2*s = 18, 0*s - 5*s = -2*g + 24. Suppose -g*n = -727 - 273. Round n to the nearest one thousand. 1000 Let s = -71 - -113. Let a = -43.39 + s. Round a to one decimal place. -1.4 Let o = -0.02 - -0.07. Let i = -0.06 + o. Let k = i - 0.25. Round k to 1 decimal place. -0.3 Let b = -19 - -49. Let q be (-4)/b + (-3921)/(-45). What is q rounded to the nearest ten? 90 Let y = 0.11 + 1.29. Let k = y + -0.2. Round k to 0 decimal places. 1 Suppose 0 = -3*v + 30881653 + 42618344. Let j be 8/(-56) - v/7. What is j rounded to the nearest 1000000? -4000000 Let d = 904.55 - 925. Let o = -21 - d. Round o to 1 decimal place. -0.6 Let m be (-15)/(-6)*12/10. Suppose 303 + 81 = m*z. What is z rounded to the nearest ten? 130 Let c(f) = f**2 + 5*f + 1. Let u be c(-4). Let b be (5600/u)/(6/(-45)). Round b to the nearest one thousand. 14000 Let x = 9 - 8.78. Let i = 0.2253 - x. Round i to 3 dps. 0.005 Let j = -3 + 3.04. Let d = -594.819997 + 594.86. Let y = j - d. What is y rounded to 5 dps? 0 Suppose -c = 3923 + 977. Round c to the nearest one thousand. -5000 Let r = 2550659.999945 + -2550684. Let h = 24 + r. Round h to five dps. -0.00006 Let i(f) = 6500000*f + 3. Let r be i(4). Suppose h - r = z, -h + 2*z = 4*z - 25999994. Suppose 4*x + x = h. Round x to the nearest 1000000. 5000000 Let l = -8.991 - -9. Round l to two decimal places. 0.01 Let m(h) = -5*h**3 - h. Let j = 1 - 2. Let q be m(j). Let x be 28196/q - (-2)/3. Round x to the nearest 1000. 5000 Let u = -0.4 - -0.2. Let f = u - -0.198. Let d = 0.00199934 + f. Round d to 7 decimal places. -0.0000007 Let v(w) = -2*w - 8. Let f be v(-6). Let u be 2 - (-4)/(-6)*-3. Suppose -f*c - 4*d - 5652 = 0, u*d + 0*d = -12. Round c to the nearest 100. -1400 Suppose -2*q = q. Let n be 5997 + (0 - -3) + q. Suppose -2*l + n = l. What is l rounded to the nearest one thousand? 2000 Let t = -2 + 0. Let v be -1 - (-3 - t) - -8. Suppose 317 = 3*x - 4*w, v*w - 3*w = 3*x - 319. Round x to the nearest ten. 100 Suppose -a - a + 4 = 0. Suppose -193508 - 10417 = 5*h + 3*z, -a*z = 10. Let f = -20782 - h. What is f rounded to the nearest 100000? 0 Let p = 15.9875507 + 0.0119893. Let b = p - 16. What is b rounded to four dps? -0.0005 Let m = 0.415008 + -71.420108. Let x = 73 + -144. Let l = x - m. Round l to 3 decimal places. 0.005 Let s = 979.1978 - 979. Let m = 0.2 - s. What is m rounded to 3 decimal places? 0.002 Let q(r) = -r**2 - 7*r + 2. Let x be q(-7). Suppose 3*i - h - 11000002 = 5*i, 0 = -h - x. What is i rounded to the nearest 1000000? -6000000 Let j = -571 - -373. Let x = 198.0000206 + j. Round x to 6 dps. 0.000021 Let q = 16.561 - -0.039. Let p = -17 + q. What is p rounded to zero dps? 0 Let g = -1391801.2 - -3813672. Let o = g + -2421870.35999939. Let k = o - 0.44. Round k to seven dps. 0.0000006 Let p = 12.99999 - 13. Round p to six decimal places. -0.00001 Let l = -0.31 - -0.16. Let m = 0.01 + l. Round m to one decimal place. -0.1 Let x = -0.19 - -9.19. Let a = x + -9.7. Let s = a + 0.4. What is s rounded to one dp? -0.3 Suppose -3*j = 3*r - 1 - 2, -3*r - j = -7. Suppose u - 102902 + 762900 = -3*t, r*t + 660004 = 2*u. Round t to the nearest 100000. -200000 Let q(z) = -261*z**2 - 7*z - 46. Let i be q(14). Round i to the nearest 10000. -50000 Let z = 939 + -509. What is z rounded to the nearest one hundred? 400 Suppose j - 152 = 5*j. Let q(n) = -7*n - 1. Let f be q(-5). Let z = j - f. Round z to the nearest ten. -70 Let l = -0.187 + 0.581. Let r = -0.064 + l. Round r to 1 decimal place. 0.3 Let c = 129972945 - 129972939.4754323. Let h = -0.5245707 + c. Let k = -5 + h. Round k to five dps. 0 Suppose -6*u + 4*u = -2200000. Round u to the nearest one million. 1000000 Let j be 160/(-1*2/(-344)). Suppose -8*h - 4*s = -3*h + j, 2*h - 3*s + 10985 = 0. Round h to the nearest one thousand. -6000 Suppose -24 = 2*q - 72. Let a = q - -4. What is a rounded to the nearest ten? 30 Suppose 2*m - 5*q = -4, -9 - 2 = -m - 4*q. Let j(s) = -36296*s**3 - 2*s**2 + 2*s + 4. Let y be j(m). Round y to the nearest 100000. -1000000 Let f = -16 - 1.9. Let s = -17.90000097 - f. Round s to seven decimal places. -0.000001 Let w = -12175.8 - -12175.865033. Let p = 0.065 - w. What is p rounded to 5 decimal places? -0.00003 Suppose -2*q - 4*h = 92, -5*q - 5 = -5*h + 150. What is q rounded to the nearest ten? -40 Let m = -17 + 17.001. Let d = m + -0.00248. Round d to four decimal places. -0.0015 Let s = 0.012 - -0.05. What is s rounded to 2 decimal places? 0.06 Let a = 3.66 + 0.97. Round a to zero dps. 5 Let j(x) = -26120*x**2 - 16*x - 8. Let v be j(7). Round v to the nearest one hundred thousand. -1300000 Let x = -81.41 - -81. Let u = 10.91 + x. What is u rounded to the nearest integer? 11 Let a = 5.56 - -0.49. Let x = a + -0.05. Let q = x + -5.99999955. Round q to 7 decimal places. 0.0000005 Suppose 0*k = -4*x + 2*k + 1920, -k = -5*x + 2400. What is x rounded to the nearest one hundred? 500 Suppose 4*t - 8*t = 43200012. Let d be 3/(-18) + t/(-18). Round d to the nearest 100000. 600000 Let b = 121 + -149.1. Let p = b - -30. What is p rounded to the nearest integer? 2 Let u be ((-6)/(-4))/((-9)/
{ "pile_set_name": "DM Mathematics" }
o -3? (a) -2 (b) s (c) -2/3 a Suppose -2*v - 13 = 5*h, -52*h + 3 = -2*v - 47*h. Which is the nearest to v? (a) 1 (b) 0.9 (c) 0.1 c Let x = -2.3 - -24.3. Let f = -22 + x. Suppose -2*l - 3*m = 3*l - 15, 0 = 3*m. Which is the nearest to 0.3? (a) f (b) l (c) 2 a Let b = 972 - 964. What is the closest to 0.2 in b, 1, -2/21? -2/21 Let q = -7 + 7.35. Let d = -0.15 - q. Let r(o) = -o**3 - 5*o**2 - 6*o - 1. Let i be r(-3). Which is the nearest to -2? (a) i (b) 3 (c) d a Let l = 296.6 - 297. Which is the nearest to 0.3? (a) 0.2 (b) 2 (c) -1/2 (d) l a Let j = -5 - -9. Let g = 6 - j. Let a = 212 - 212.2. What is the closest to g in a, 1, -2? 1 Let t = 0.002 - -3.998. Let m = 1.2 - 0.2. What is the closest to 2 in 2/7, t, m? m Let i = 16.1 + -16.1. Let w be (-2)/7 - 79/(-7). Let v = w - 57/5. What is the closest to i in -0.1, -0.2, v? -0.1 Let s = -0.1 - -0.2. Let m = -0.32 + 0.66. Let g = m + -1.34. Which is the closest to -2? (a) s (b) -0.5 (c) g c Let y = 443 - 2214/5. Which is the nearest to -0.3? (a) -0.3 (b) y (c) -3 (d) -1/8 a Let v = 11/4 - 5/2. Suppose 5*d - 25 = -5*m, 3*m = 2*m - 4*d + 17. Let g be (-2)/7*(-91)/(-39). Which is the closest to g? (a) v (b) 5 (c) m a Let s = -10 - -6. Suppose -1416 = 13*y - 1442. What is the closest to y in s, 0.4, -2/5? 0.4 Let w = -1.88 + 2.08. What is the closest to w in -0.19, -2, 4, -0.5? -0.19 Let w = 9 + -6.3. Let y = -2.3 + w. Suppose 2 = -2*m + 5*z, -6*m + 2*z - 24 = -11*m. Which is the closest to -1/2? (a) -0.3 (b) m (c) y a Let m be (0 + -1)/(2 - -1). Let s = -0.7 + -2.3. Let n = 6635/8 + -829. What is the closest to s in 2, m, n? m Let k = -1.97961 + -0.02039. Let m = -1 - 0. Which is the closest to -0.06? (a) k (b) 2/3 (c) m b Let w(y) = -y**3 - 2*y**2 + 5*y - 8. Let j be w(-4). Suppose -30 = j*l - 9*l. What is the nearest to l in -4, -1, 3? 3 Let t = -28 + 28.2. Let l = -61 + 62. What is the nearest to -0.08 in 4, l, t? t Let y = -1/41 + -38/123. Let g be (2/4)/((-4)/(-8)). Let s = 583 - 585. What is the nearest to y in 2, s, g? g Let j = 30.7 - 32.7. Which is the nearest to 0.1? (a) j (b) 5 (c) -4 a Let q = -1443 + 1445. Which is the closest to 0.2? (a) -1/3 (b) -2 (c) q (d) -3/8 a Let q = -7 + 7.05. Let z = q - 0.1. Let y = z - 0.05. What is the nearest to y in 5, -1, 2/3? 2/3 Let u = -2.92 + -1.08. Let w = -2 - 1. Which is the closest to 0? (a) u (b) -0.2 (c) w b Let i = 1.92 + -50.42. Let n = i + 72. Let v = n - 23. Which is the closest to 0? (a) 2/11 (b) v (c) 3 a Let x = -0.11 + -0.89. Let o = 12.25 + -12. Let v = o + 0.05. Which is the closest to -2/5? (a) 5 (b) x (c) v b Let i = 2/51 + 43/204. Let b = -2490 - -2494. What is the closest to i in b, 3, -2/11? -2/11 Let u = 719 + -721. Which is the closest to 0.1? (a) u (b) 3 (c) 1 c Suppose -1 + 11 = -5*u. Let l = -2.906 - -24.906. What is the closest to u in -5, 2/11, l? 2/11 Let o = -2 + 3. Let t = 813 - 813.1. Which is the nearest to t? (a) -4 (b) -1/5 (c) o b Let u be 30/20 + (-35)/20. Which is the closest to 1/4? (a) u (b) 1 (c) -53 (d) 0.3 d Let b(t) = -t**2 - t - 3. Let o be b(-2). Let z = -42 + 39. Suppose j - 4 = -2. What is the nearest to j in z, 3, o? 3 Let c = 123.1 + -113.1. What is the nearest to 0 in c, -0.5, 2, 0.4? 0.4 Let x = -15 - -48. Suppose 5*s - 5*n = x - 13, 2*s = 4*n + 12. What is the nearest to s in -0.8, -3/2, 2? 2 Let d = -0.8 - -0.93. Let q = d + 1.87. Which is the closest to 1? (a) 0.4 (b) -5 (c) q a Suppose -4 = 227*p - 229*p. Let a be 58/(-8) + (-3)/(-12). Let n be (a + 4)*p/18. What is the nearest to n in -1, -2, -1/3? -1/3 Let r be ((-2)/2)/((-2)/6*-6). What is the nearest to -1 in r, 0.3, -0.029? r Let l be (6/(2 + 4))/1. Let o = 29.9 - 30. Let h be (6/(-2))/(42/(-4)). What is the closest to l in h, 2/11, o? h Let q = -5 + 9. Suppose -q*s = -3*s + 3. What is the closest to -1/5 in 1, s, -2/9? -2/9 Let k(c) = -c**2 - 9*c - 9. Let p be k(-8). What is the closest to p in 0.1, 0.2, 1/2? 0.1 Let w = 106.3 + -106.5. What is the nearest to w in -1/4, 4, -35? -1/4 Let q be (-3)/15 - (0 + (-2103)/40). Let z = 52 - q. What is the closest to 0 in -4/3, z, 0.5? z Let o(g) = g**3 + 12*g**2 + 12*g + 6. Let f be o(-10). Let t = f - 259/3. Let i = 0.7 + -0.4. Which is the nearest to -0.1? (a) 3 (b) t (c) i b Let b = 18049/11 - 1641. What is the closest to 1/2 in 2, 13/2, b? b Let t = -1285 + 1284.8. What is the closest to -2.25 in -1, t, 0.5? -1 Let h = 184 - 178. What is the closest to -1/3 in h, 2, 2/9? 2/9 Let h be (47/(-188))/(0 + (-1 - -2)). What is the closest to h in 4, -2/3, 3? -2/3 Let x(r) = r**2 - 19*r + 49. Let n be x(16). Let y = -30 - -27. Which is the closest to y? (a) -3/2 (b) n (c) 0.3 a Let u = -80 + 139. Which is the nearest to -2/5? (a) u (b) -1/2 (c) 0.1 b Let u = -18.3 + 20.3. Which is the closest to 17? (a) 2/13 (b) u (c) 4/5 b Let d = -1396 - -1399. Let r = -2 + 1. Which is the closest to r? (a) d (b) 4/5 (c) -2 c Let t = 1.7 - 4.6. Let h = t + -1.1. Let r = 1.9 - 1.7. Which is the closest to -2/3? (a) h (b) 1/10 (c) r b Let c = 49/5 + -137/15. Suppose -3*z - j = 320, 3*z + 306 = -3*j - 12. Let t = 533/5 + z. What is the closest to t in c, 2, 4? c Let m = 61 + -59. Which is the closest to -9? (a) 0 (b) 5 (c) m a Let h = -167 - -138. Let g = 28.6 + h. Which is the closest to -17? (a) -0.3 (b) g (c) -1 c Let v = 1769 + -1769.09. What is the nearest to -1 in 0.1, v, -29? v Let k = 25.3 - 27. Let n = 1.5 + k. Which is the closest to -1? (a) 0.5 (b) n (c) -22 b Let v = -1379.2 + 1384. What is the nearest to 4 in -1, -0.1, v, 4? 4 Let m = -3/35 - -97/315. Let k = 6 + -7. Let w be (((-5)/5)/(2/6))/7. Which is the nearest to k? (a) m (b) w (c) -5 b Let v = -367 - -366. Which is the closest to 2? (a) -1/3 (b) 0.2 (c) v b Let p = -99.9 - -100. Which is the closest to p? (a) -0.1 (b) 2/3 (c) -2 (d) 2/13 d Let n = -1173 + 1173.5. Which is the nearest to -0.2? (a) -0.4 (b) n (c) 1/14 a Let l be 4/(-18) - 15/(-108). Let j = -3 + -2. Suppose 6*b - 12 = 9*b. What is the nearest to -1/2 in l, j, b? l Let b = 68 + -68.1. Let n = 0.04 - 3.04. What is the nearest to 0 in 2, b, n? b Let k be (0 - 6/(-3)) + -1. Let s = -1.95 - -0.95. Which is the closest to -1? (a) k (b) s (c) 0.5 b Suppose v = -4*u + 11, 5*v - u = v + 10. Let q = 7281/2 - 3641. What is the closest to q in -3/2, v, 0.3? 0.3 Let v be 7/7*(7 - 12). What is the closest to 0 in v, -0.1, -2/5? -0.1 Let r = -7848 - -7837. Let f = 7 + -5. Which is the nearest to r? (a) f (b) -1/11 (c) -0.1 c Let q be (-2)/6 - (-19)/3. Suppose -2*y + q = 2. Suppose -23*d = -25*d. What is the nearest to d in -2/15, y, 5? -2/15 Let r = 48 + -47.959. Let s = 8.041 - r. What is the nearest to 0 in 0.2, s, -5? 0.2 Let f be (1695/9)/(-5)*6. Let u = f + 1585/7. Let j(d) = d**3 + 13*d**2 - 15*d - 12. Let z be j(-14). Which is the nearest to z? (a) u (b) -3 (c) -0.1 a Let u = -1408 + 1411. What is the nearest to u in -2/11, 0.3, -2, 2/7? 0.3 Let l = -34/9 + 145/36. Let k = 1066 + -1066.2. What is the nearest to 0.1 in k, l, 13? l Let k = -10 - -14. Let v = -4.02 + k. Let d = 1.441 - 1.441. Which is the nearest to v? (a) 1/3 (b) d (c) 2/11 b Let g = 32 + -32.5. Let h = g + 0.4. Which is the closest to h? (a) -0.5 (b) -3 (c) 4 a Let b = -0.425 - 1.765. Let w = -0.19 - b. What is the closest to -0.2 in 1/2, -2, w? 1/2 Let l = -573/490 - 3/98. Which is the closest to l? (a) 0.1 (b) -2/3 (c) 4 (d) 1/2 b Let y = -0.093 + -3.907. Let l = 0.29 + -0.43. What is the closest to 0 in y, -0.5, l? l Let r = -50.089 - -0.089. Let f = r - -51. Which is the closest to 1? (a) 3 (b) -0.5 (c) f c Let h = -32.7 + 33.7. What is the nearest to 0 in -3/5, -2/9, h? -2/9 Let j = -22 + 24. Let k = 0.13 - -0.87. What is the closest to 1/4 in j, 0.4, k? 0.4 Let m = 404.2 + -404. What is the closest to 3 in 4, m, -1/33? 4 Let n = 0.9 + -0.6. Let m = -57 - -60. Let j = -0.01 + -1.99. Which is the closest to -0.2? (a) n (b) m (c) j a Suppose 3*x - 48 = -x. Let d = x + -13. Let r be (-8)/3*d/20. What is the closest to -2/5 in 3/4, 4, r? r Let q = -0.1 + 0.2. Let w = -219 - -220. Let f = 0.22 - 0.52. Which is the closest to w? (a) f (b) 4 (c) q c Let t = -3/94 - -227/1222. What is the closest to
{ "pile_set_name": "DM Mathematics" }
? 22 What is the greatest common factor of 39407 and 785? 157 What is the highest common divisor of 10503 and 58739? 389 What is the highest common divisor of 10845 and 765? 45 Calculate the greatest common divisor of 16653 and 117. 39 Calculate the highest common factor of 2640 and 70320. 240 What is the highest common divisor of 7 and 426? 1 What is the greatest common factor of 1548 and 3636768? 516 What is the highest common divisor of 132 and 1586211? 33 What is the highest common divisor of 72 and 118404? 36 Calculate the highest common factor of 5675 and 450368. 227 What is the highest common divisor of 30 and 149570? 10 What is the greatest common factor of 3696 and 16654? 22 What is the highest common factor of 35 and 381635? 5 Calculate the greatest common factor of 763 and 957565. 763 What is the highest common divisor of 710 and 279385? 355 Calculate the greatest common divisor of 16485 and 8610. 105 Calculate the highest common factor of 260 and 17888. 52 Calculate the greatest common divisor of 837240 and 60. 60 What is the greatest common factor of 8307 and 1872? 117 What is the highest common factor of 1259394 and 238? 34 Calculate the highest common divisor of 9064 and 159032. 824 Calculate the highest common factor of 3886080 and 1440. 480 What is the highest common divisor of 7764 and 1404? 12 What is the highest common factor of 387 and 90657? 9 What is the greatest common factor of 2696359 and 1357? 1357 Calculate the greatest common factor of 4 and 740612. 4 Calculate the greatest common divisor of 310292 and 36. 4 Calculate the highest common factor of 2938 and 7358. 26 What is the greatest common divisor of 678566 and 133? 133 What is the highest common factor of 705599 and 10907? 839 What is the greatest common divisor of 87246 and 13320? 666 What is the greatest common factor of 46 and 8119? 23 Calculate the greatest common divisor of 3636 and 168771. 303 Calculate the greatest common divisor of 153 and 578136. 51 Calculate the highest common factor of 3055 and 615935. 235 What is the highest common factor of 2400 and 79600? 400 Calculate the highest common factor of 2060 and 7060. 20 Calculate the greatest common divisor of 437 and 207. 23 What is the highest common factor of 26923 and 1277807? 2071 What is the greatest common divisor of 102 and 2718? 6 What is the greatest common factor of 9139 and 247? 247 What is the highest common divisor of 154161 and 315? 63 What is the highest common factor of 9 and 2440386? 9 Calculate the highest common divisor of 16994 and 464. 58 Calculate the highest common factor of 406020 and 10452. 804 What is the greatest common divisor of 581839 and 548? 137 Calculate the highest common divisor of 46 and 434631. 23 What is the highest common factor of 412 and 828? 4 What is the highest common divisor of 3768 and 9280? 8 What is the greatest common divisor of 617104 and 24? 8 What is the greatest common factor of 195 and 110? 5 Calculate the highest common divisor of 100 and 755. 5 Calculate the highest common factor of 391 and 20621. 17 What is the highest common factor of 20 and 9180? 20 Calculate the highest common factor of 63 and 152199. 9 What is the highest common factor of 6 and 424922? 2 What is the highest common factor of 1321626 and 3768? 942 What is the greatest common factor of 741072 and 96? 48 What is the greatest common factor of 777 and 8621? 37 What is the highest common divisor of 342 and 72960? 114 What is the highest common divisor of 613304 and 4? 4 Calculate the greatest common divisor of 12 and 923556. 12 Calculate the highest common divisor of 292 and 8708. 4 What is the highest common factor of 860 and 235210? 430 What is the greatest common divisor of 239485 and 227? 227 What is the highest common divisor of 137655 and 71415? 1035 What is the greatest common factor of 24 and 569368? 8 What is the highest common divisor of 116475 and 195? 15 Calculate the highest common divisor of 127 and 510667. 127 What is the greatest common divisor of 22456 and 168? 56 What is the highest common divisor of 3006 and 774? 18 What is the greatest common factor of 5138 and 392? 14 Calculate the highest common factor of 3168 and 5616. 144 What is the greatest common factor of 13670 and 25? 5 What is the greatest common divisor of 218624 and 48? 16 What is the highest common factor of 55 and 2965? 5 Calculate the highest common divisor of 21 and 4707. 3 What is the highest common factor of 260 and 370? 10 What is the greatest common factor of 33 and 57717? 33 What is the highest common factor of 306 and 2250? 18 Calculate the greatest common factor of 273 and 38248. 7 What is the highest common divisor of 7504 and 2170? 14 Calculate the highest common divisor of 600 and 1338. 6 What is the greatest common divisor of 2862 and 459? 27 Calculate the greatest common divisor of 3520 and 576. 64 What is the highest common divisor of 2024 and 6600? 88 What is the greatest common divisor of 173456 and 256? 16 What is the highest common divisor of 23363 and 85409? 383 What is the greatest common factor of 294090 and 60? 30 Calculate the highest common factor of 2048112 and 4. 4 Calculate the highest common divisor of 5580 and 234. 18 Calculate the greatest common divisor of 1021216 and 728. 56 Calculate the highest common divisor of 1691 and 89. 89 Calculate the greatest common divisor of 1449050 and 150. 50 Calculate the greatest common divisor of 571896 and 432. 72 Calculate the greatest common divisor of 6750 and 55050. 150 Calculate the greatest common factor of 4 and 132554. 2 What is the highest common divisor of 432 and 22248? 216 What is the highest common factor of 630800 and 200? 200 Calculate the greatest common factor of 9828 and 204. 12 What is the highest common factor of 271332 and 27? 9 Calculate the highest common divisor of 8938 and 41. 41 Calculate the highest common divisor of 117 and 60970. 13 What is the greatest common divisor of 50737 and 339? 113 What is the greatest common divisor of 215 and 92285? 5 Calculate the greatest common divisor of 1350 and 9040. 10 What is the greatest common factor of 226776 and 528? 264 What is the greatest common divisor of 31829 and 63? 7 What is the highest common divisor of 3520 and 2530? 110 What is the greatest common factor of 916 and 84730? 458 What is the greatest common divisor of 19 and 2533? 1 What is the greatest common divisor of 85220 and 40? 20 Calculate the highest common factor of 7209 and 11392. 89 Calculate the greatest common factor of 78621 and 3. 3 What is the highest common divisor of 22356 and 33258? 138 Calculate the highest common divisor of 12682 and 1462. 34 What is the greatest common divisor of 840 and 2541? 21 Calculate the greatest common divisor of 2021 and 611. 47 What is the highest common factor of 2639 and 441467? 377 What is the greatest common divisor of 32 and 20904? 8 What is the highest common divisor of 96717 and 309? 309 Calculate the highest common factor of 11815 and 28495. 695 What is the highest common divisor of 8 and 224184? 8 What is the highest common factor of 511597 and 2155? 431 What is the greatest common divisor of 3364 and 301919? 841 What is the greatest common factor of 1298 and 650? 2 Calculate the greatest common factor of 5397568 and 3264. 1088 What is the greatest common factor of 6890 and 3510? 130 What is the highest common divisor of 944 and 200? 8 What is the highest common factor of 92848 and 336? 112 What is the greatest common factor of 2019654 and 81? 81 What is the greatest common divisor of 50922 and 13662? 1242 What is the greatest common divisor of 252531 and 81? 27 Calculate the greatest common factor of 164 and 18225156. 164 What is the greatest common divisor of 2135 and 805? 35 What is the highest common factor of 609510 and 990? 330 What is the highest common factor of 111 and 164206? 37 What is the greatest common divisor of 3094 and 368550? 182 What is the highest common divisor of 10716 and 7473? 141 What is the greatest common factor of 132627 and 264? 33 Calculate the highest common divisor of 208 and 2714972. 52 What is the highest common divisor of 2130 and 891050? 710 Calculate the highest common divisor of 2 and 1153. 1 Calculate the hig
{ "pile_set_name": "DM Mathematics" }
placement from wldda. What is prob of sequence aw? 1/20 Calculate prob of sequence uvu when three letters picked without replacement from uvvvovvvvvvvvvvvu. 7/1020 Two letters picked without replacement from ipzic. What is prob of sequence iz? 1/10 Calculate prob of sequence ok when two letters picked without replacement from kkkoo. 3/10 What is prob of sequence ydod when four letters picked without replacement from vzyyvyvvzdvvzzdozvd? 1/5168 Three letters picked without replacement from ycycuhlw. What is prob of sequence ccl? 1/168 Calculate prob of sequence fe when two letters picked without replacement from {e: 1, t: 1, f: 1}. 1/6 Three letters picked without replacement from {u: 4, c: 14}. What is prob of sequence ccc? 91/204 Three letters picked without replacement from {a: 2, t: 1, s: 1, c: 2, m: 4, j: 4}. Give prob of sequence cac. 1/546 Calculate prob of sequence aea when three letters picked without replacement from {x: 7, e: 3, a: 4}. 3/182 Three letters picked without replacement from nnnnnn. What is prob of sequence nnn? 1 What is prob of sequence nnwn when four letters picked without replacement from {w: 16, n: 4}? 16/4845 Two letters picked without replacement from {y: 1, o: 1, j: 1, d: 2}. What is prob of sequence oy? 1/20 What is prob of sequence he when two letters picked without replacement from {e: 4, d: 3, i: 2, o: 1, h: 2}? 2/33 What is prob of sequence cc when two letters picked without replacement from {c: 3, h: 2}? 3/10 Four letters picked without replacement from wsnfswfwsnhwws. Give prob of sequence whsf. 5/3003 Calculate prob of sequence momi when four letters picked without replacement from {o: 1, i: 1, c: 1, m: 2}. 1/60 Two letters picked without replacement from xqnqxnpqxxppxppxxxxn. Give prob of sequence nn. 3/190 Three letters picked without replacement from jxjkikxxisixsi. What is prob of sequence sjx? 2/273 Four letters picked without replacement from ttkpqkqpmmbqmtmqpkqt. What is prob of sequence bpmm? 1/3230 Two letters picked without replacement from jmmjujjumjmmmm. What is prob of sequence mu? 1/13 Three letters picked without replacement from zgzhhhbffbhhzkb. Give prob of sequence kfz. 1/455 Calculate prob of sequence uutt when four letters picked without replacement from uututtdudttbb. 2/143 Two letters picked without replacement from {c: 1, x: 1, v: 5, l: 4, q: 1, z: 1}. Give prob of sequence qx. 1/156 Three letters picked without replacement from {r: 6, j: 6, s: 1, q: 1, p: 4}. What is prob of sequence sjj? 5/816 Three letters picked without replacement from llwulwsuumu. What is prob of sequence lws? 1/165 What is prob of sequence cubc when four letters picked without replacement from cbcuuuccuubcc? 5/286 Calculate prob of sequence za when two letters picked without replacement from yzzpapttpezepep. 1/70 Two letters picked without replacement from mfmmmf. Give prob of sequence ff. 1/15 Three letters picked without replacement from {o: 1, t: 11, m: 7}. Give prob of sequence mto. 77/5814 Two letters picked without replacement from sslfssyfsfrl. What is prob of sequence rf? 1/44 Four letters picked without replacement from sgaszszggssas. What is prob of sequence agas? 3/1430 Calculate prob of sequence oxx when three letters picked without replacement from {o: 1, h: 2, x: 2, n: 1, i: 4}. 1/360 Calculate prob of sequence gga when three letters picked without replacement from gag. 1/3 What is prob of sequence aqqq when four letters picked without replacement from {q: 11, a: 1}? 1/12 Calculate prob of sequence qqaa when four letters picked without replacement from aiqqqqaiaq. 1/42 Calculate prob of sequence kk when two letters picked without replacement from hhhkhhk. 1/21 Four letters picked without replacement from khkxhkhxkkhkk. Give prob of sequence hxxk. 7/2145 What is prob of sequence sdsq when four letters picked without replacement from {u: 1, q: 1, d: 4, s: 2}? 1/210 Calculate prob of sequence ll when two letters picked without replacement from {l: 7, w: 2}. 7/12 What is prob of sequence wrw when three letters picked without replacement from wrrrwrrrrrrrr? 1/78 Two letters picked without replacement from yhcohtccoctt. Give prob of sequence hh. 1/66 Three letters picked without replacement from {t: 4, i: 2, b: 3, o: 1, z: 3, g: 3}. What is prob of sequence zii? 1/560 Four letters picked without replacement from {a: 15, k: 4}. Give prob of sequence akkk. 5/1292 Two letters picked without replacement from jjjtjjjjjjjjjjjjjjjt. Give prob of sequence tt. 1/190 What is prob of sequence yym when three letters picked without replacement from {y: 2, w: 1, i: 1, m: 1}? 1/30 Two letters picked without replacement from qqqqqqqqq. What is prob of sequence qq? 1 Calculate prob of sequence jj when two letters picked without replacement from {j: 3, y: 4, x: 2}. 1/12 What is prob of sequence waw when three letters picked without replacement from {j: 2, w: 6, a: 1, s: 2, p: 1}? 1/44 Four letters picked without replacement from {e: 2, q: 2, m: 3, r: 2, p: 1, o: 2}. What is prob of sequence oqmq? 1/990 What is prob of sequence bfn when three letters picked without replacement from {h: 1, n: 1, b: 2, f: 2, l: 1}? 2/105 Four letters picked without replacement from eeoeogiineenne. Give prob of sequence ioio. 1/6006 Two letters picked without replacement from ccbcbbcacoococccuco. What is prob of sequence ou? 2/171 Four letters picked without replacement from ziqqkzzzeezizfefqqe. Give prob of sequence kzfq. 1/1938 Three letters picked without replacement from uhhuuuuuuuu. What is prob of sequence huu? 8/55 Three letters picked without replacement from eebemwebq. What is prob of sequence mbe? 1/63 What is prob of sequence jyhy when four letters picked without replacement from {h: 3, r: 1, v: 2, t: 1, y: 8, j: 1}? 1/260 What is prob of sequence buuc when four letters picked without replacement from bbcbgrggubgcgubg? 1/2184 Two letters picked without replacement from {h: 2, k: 2, v: 1, p: 2, x: 1}. What is prob of sequence xv? 1/56 Two letters picked without replacement from {t: 8, e: 8, o: 2}. Give prob of sequence tt. 28/153 What is prob of sequence hg when two letters picked without replacement from ghghmhh? 4/21 Three letters picked without replacement from fhhfihiffiihhhhh. What is prob of sequence iff? 1/70 What is prob of sequence hf when two letters picked without replacement from {f: 4, h: 1, i: 2, u: 2}? 1/18 Two letters picked without replacement from {v: 2, y: 2, m: 5}. What is prob of sequence vm? 5/36 Three letters picked without replacement from mjmmmmmmmmjmpmp. What is prob of sequence mpp? 11/1365 Calculate prob of sequence zztt when four letters picked without replacement from ttttttttttttttztztt. 1/171 What is prob of sequence bk when two letters picked without replacement from {k: 5, m: 8, b: 5}? 25/306 Two letters picked without replacement from {y: 1, g: 2, n: 6, h: 1, i: 2, c: 3}. What is prob of sequence gy? 1/105 Four letters picked without replacement from {x: 2, h: 6}. What is prob of sequence xhhh? 1/7 What is prob of sequence kkk when three letters picked without replacement from kskk? 1/4 Three letters picked without replacement from {d: 9, n: 7}. What is prob of sequence dnn? 9/80 What is prob of sequence zz when two letters picked without replacement from zzzzzzzzz? 1 Calculate prob of sequence pr when two letters picked without replacement from mryryppyyymypmrmp. 3/68 Two letters picked without replacement from {h: 3, m: 1, o: 5, y: 1, l: 2, t: 1}. What is prob of sequence mt? 1/156 What is prob of sequence kddy when four letters picked without replacement from dekeayeddadu? 1/990 Calculate prob of sequence vffs when four letters picked without replacement from {f: 2, s: 2, g: 6, v: 3, n: 3}. 1/3640 Calculate prob of sequence kd when two letters picked without replacement from zbokdzbzbooob. 1/156 Calculate prob of sequence nhn when three letters picked without replacement from {h: 2, n: 3}. 1/5 Calculate prob of sequence axa when three letters picked without replacement from acacccccaxaaac. 5/364 Calculate prob of sequence ee when two letters picked without replacement from sesesseesess. 5/33 Three letters picked without replacement from ssssvsddvssnssswvsv. What is prob of sequence sws? 5
{ "pile_set_name": "DM Mathematics" }
16*t**3 + 1 + 3840*t. 16*t**3 - 2*t**2 + 6988*t + 2 Collect the terms in -177222*d**3 + 1076065*d**3 + 1277606*d**3. 2176449*d**3 Collect the terms in 33 - 8*o**3 - 15 + 1795*o**2 - 20 + 1794*o**2 + 12*o**3 - 3589*o**2. 4*o**3 - 2 Collect the terms in 3308165*k - 6616222*k + 3308063*k. 6*k Collect the terms in -7984 + 2687 + 2707 - 2*z**3 - z**3 + 2590. -3*z**3 Collect the terms in 95366*q**3 - 88*q + 229*q - 141*q. 95366*q**3 Collect the terms in 2608*r - 455 + 455 - 27338*r - 11143*r. -35873*r Collect the terms in -2*f**2 - 47 - 32*f - 2*f**2 - 58*f + 49. -4*f**2 - 90*f + 2 Collect the terms in 1505*c**3 + 2527*c**3 + 3 - 3 - 3994*c**3. 38*c**3 Collect the terms in -182 + 64983*y + 182. 64983*y Collect the terms in -7*b - 1280*b**3 + 336*b**3 + 7*b + 937*b**3. -7*b**3 Collect the terms in -2628*u + 6*u**3 + 169*u**2 + 215*u**2 - 384*u**2. 6*u**3 - 2628*u Collect the terms in 5 - 5 - 14695180*x**3 - 28426752*x**3. -43121932*x**3 Collect the terms in 11 - 10484*s**2 + 10484*s**2 - 78*s**3 + 1. -78*s**3 + 12 Collect the terms in 0 - 4135*w + 93*w - 1067*w + 4. -5109*w + 4 Collect the terms in -1967*z - 6 + 14 + 28670*z**2 - 28668*z**2 - 8. 2*z**2 - 1967*z Collect the terms in 7*b**2 - 14197*b + 14293*b - 19*b**2 + 8*b**2. -4*b**2 + 96*b Collect the terms in -350447*q**2 + 701520*q**2 - 351064*q**2. 9*q**2 Collect the terms in -464183*a - 99*a**3 + 232085*a + 232098*a. -99*a**3 Collect the terms in -13521044*i - 2*i**2 + 13521044*i + 2*i**2 - 2 + 3*i**3 + 2. 3*i**3 Collect the terms in -107922*z + 215060*z - 108262*z. -1124*z Collect the terms in -35*q**2 - 9*q**2 - 31*q**2 - 27*q**2 + 198*q**2 - 36*q**2 - 49*q**2. 11*q**2 Collect the terms in -2147*n**2 - 8*n - 2*n - 328*n**2 + 10*n - 6. -2475*n**2 - 6 Collect the terms in 2897 + 5*k - 2*k - 975 - 947 - 983. 3*k - 8 Collect the terms in -468480 + 936742 - 468262 + 3*k**2. 3*k**2 Collect the terms in -18991*f**2 - 2179*f**3 + 18991*f**2 - 928*f**3. -3107*f**3 Collect the terms in 20119010*v**3 + 20119009*v**3 - 40238508*v**3. -489*v**3 Collect the terms in 53783065*k - 53783065*k - 164*k**2. -164*k**2 Collect the terms in -3558*d - 3510*d + 7068*d + 41*d**3. 41*d**3 Collect the terms in 2*j - 7 + 0 - 159*j**2 + 170*j**2 + 1372*j**2 + 0. 1383*j**2 + 2*j - 7 Collect the terms in 139503 - 279518 - 2*i**2 + 2*i**2 - 3*i**3 + 140015. -3*i**3 Collect the terms in -291736*l + 72939*l + 72939*l + 72923*l + 72933*l. -2*l Collect the terms in 4384*l**2 + l + 882*l**2 - 514*l**2 - l. 4752*l**2 Collect the terms in 3*g - 64654*g**3 - 45104*g**3 + 567*g**3 + 9551*g**3. -99640*g**3 + 3*g Collect the terms in -816*u**2 + 352*u**2 - 58*u**2 - 226*u**2 - 730*u**2. -1478*u**2 Collect the terms in -32465*q**2 + 3478701*q - 3478701*q. -32465*q**2 Collect the terms in -22*f**2 + 2041*f + 2067*f + 2064*f - 8243*f + 2071*f. -22*f**2 Collect the terms in -478 + 801 - 3533*j - 325. -3533*j - 2 Collect the terms in 12199*y**2 + 11745*y**2 - 7301*y**2 + 2749*y**2. 19392*y**2 Collect the terms in -164544665 + 56*j**3 + 164544665 + 55*j**3 - 108*j**3. 3*j**3 Collect the terms in 41*i + 59*i + 1 + 54*i - 154*i - 42*i**2. -42*i**2 + 1 Collect the terms in -39*b - 212*b - 106*b - 342 + 341 - 94*b. -451*b - 1 Collect the terms in 101*o - 5842*o + 5634*o + 101*o. -6*o Collect the terms in r**3 - 33616*r**2 + 64104*r**2 - 30488*r**2. r**3 Collect the terms in -1600 + 3724 - 1708 + 3*v. 3*v + 416 Collect the terms in -19*r - 17*r - 22*r - 14*r + 95*r - 26*r. -3*r Collect the terms in -83409456 + 10*o**3 + 22*o**3 + 83409456. 32*o**3 Collect the terms in -13262*g - 13219*g - 13199*g + 39580*g. -100*g Collect the terms in -261*l**2 + 36*l**2 + 740*l**2 - 262*l**2 - 274*l**2. -21*l**2 Collect the terms in 80298470803*v + 15*v**2 - 80298470803*v. 15*v**2 Collect the terms in 18939*u + 27181*u + 23044*u. 69164*u Collect the terms in 67938*x**2 - 37976*x + 37976*x. 67938*x**2 Collect the terms in 76 + a**3 - 198 + 2*a**3 + 57 + 65. 3*a**3 Collect the terms in -17 + 34 - 58*j - 19*j - 19 + 17*j - 44*j. -104*j - 2 Collect the terms in 10 - 33 + 12 - 8556*m**2 + 11 + 8573*m**2. 17*m**2 Collect the terms in 5*q - 1513 - 1222 + 2497. 5*q - 238 Collect the terms in -57*a + 5*a**3 - 19*a**2 - 31*a + 0 + 3 - 8. 5*a**3 - 19*a**2 - 88*a - 5 Collect the terms in 32*z**2 + 23*z**2 - 132*z**2 + 3*z**3 + 4*z**2 + 40*z**2 + 33*z**2. 3*z**3 Collect the terms in 49524589763 - 49524589763 + i**2. i**2 Collect the terms in 369 + 344 + 349 + 340 + 347 - 2090 + 341 - 3*d. -3*d Collect the terms in 12 - 2237*o + 23 - 59 + 24 + 331*o. -1906*o Collect the terms in -18322*f**2 + 5816*f**2 + 8558*f**2. -3948*f**2 Collect the terms in 2001*o**3 - 4043*o + 4043*o. 2001*o**3 Collect the terms in -4*u**2 - 5729973976 + 5729973976. -4*u**2 Collect the terms in 5978*q + 6428*q - 22430*q - 56668*q - 46498*q. -113190*q Collect the terms in -408 + 99 + 76 + 119 + 5*g**3 + 114. 5*g**3 Collect the terms in -31*z - 62*z**3 - 65*z**3 - 51*z - 7*z. -127*z**3 - 89*z Collect the terms in -33568*d**3 + 108874*d**3 + 32173*d**3. 107479*d**3 Collect the terms in 0*y**2 + 494541767*y + 0*y**2 + 494541773*y + 8*y**3 - 989083540*y. 8*y**3 Collect the terms in -5*m**2 - 41235 + 20603 + m**2 + 20643 - m**2 + 0*m**2. -5*m**2 + 11 Collect the terms in -14*r + 8 - 19*r - 4*r + 36 - 43. -37*r + 1 Collect the terms in 25893*w**2 + 1 + 454*w - 454*w. 25893*w**2 + 1 Collect the terms in 190 - 190 + 4936*i**2 + 4990*i**2 - 10004*i**2. -78*i**2 Collect the terms in 539*x**2 - 262 - 468*x**2 + 132 + 132. 71*x**2 + 2 Collect the terms in 137*n - 37*n + 5*n**2 + 62*n**3 - 100*n - 10*n**2 + 5*n**2. 62*n**3 Collect the terms in 8*h**2 + 4*h**3 + 4*h**2 - 5*h**2 - 3*h**2 - 38801. 4*h**3 + 4*h**2 - 38801 Collect the terms in -61*x**3 - 382*x**3 - 282*x**3 - 146*x**3. -871*x**3 Collect the terms in -29 - 378*w**3 - 583*w**3 - 2 + 31. -961*w**3 Collect the terms in -2*t**2 - 6391*t - 6629*t - 14806*t. -2*t**2 - 27826*t Collect the terms in -1246*p + 621*p + 950*p**3 - 2378*p**3 + 625*p. -1428*p**3 Collect the terms in 4*o - 22*o + 12*o - 75*o + 7*o + 0*o. -74*o Collect the terms in 214542*l - 214542*l - 8*l**3. -8*l**3 Collect the terms in -599229*o**2 - 4985137*o**2 + 1276522*o**2 - 4199257*o**2. -8507101*o**2 Collect the terms in -4 - 38886*l**2 - 38885*l**2 + 116689*l**2 + 4 - 38920*l**2. -2*l**2 Collect the terms in -774*w - 7*w**3 + 2656*w - 1052*w - 830*w. -7*w**3 Collect the terms in -5*o**2 - 26*o**2 - 9*o**2 - 16*o**2 + 0 + 0*o**2 + 1. -56*o**2 + 1 Collect the terms in 188*q - 889*q**2 + 2425*q**2 - 188*q - 651*q**2 - 885*q**2 + 7*q**3. 7*q**3 Collect the terms in -45 - 13 - 12629*r**3 + 58. -12629*r**3 Collect the terms in -352*f**3 - 40 + 39 + 185*f**3 + 259*f**3 + 9*f. 92*f**3 + 9*f - 1 Collect the terms in -92 + 932*l + 267 - 89 - 247*l - 86. 685*l Collect the terms in -694*r**3 - 6 + 8 + 901*r**3 - 2. 207*r**3 Collect the terms in -274 + 0*k**2 + 80*k + 43*k**2 + 274. 43*k**2 + 80*k Collect the terms in 4 - 3630496*y - 4 + 3635346*y. 4850*y Collect the terms in 1406*v**2 - 4572*v**2 - 2749*v**2 - 2661*v**2. -8576*v**2 Collect the terms in -1228*r + 657*r + 12965*r + 4890*r + 2193*r - 1. 19477*r - 1 Collect the terms in -10357*a + 0*a**2 - a**2 + 5704*a - a**2 + 4697*a. -2*a**2 + 44*a Collect the terms in -7 + 7 + 9802*l**2 - 42468*l**2. -32666*l**2 Collect the terms in -3103172*q**2 + 186*q**3 + 183*q**3 + 189*q**3 - 710*q**3 + 3103172*q**2 + 154*q**3. 2*q**3 Collect the terms in 17626 + 39785*y - 17626. 39785*y Collect the terms in -o**2 + 8*o**2 + 1455*o - 9*o**2 + 36. -2*o**2 + 1455*o + 36 Collect the terms in 2090*m - 1000*m + 2352 - 2352 - 730*m. 360*m Collect the terms in -586 - 586 + 9*f**3 + 1171 - 7*f**3 - 13*f**3. -11*f**3 - 1 Collect the terms in -663 + 291 + 3*p + 300 + 219. 3*p + 147 Collect the terms in -218 - 2*j**2 + 35 + j + 183 - 8*j**2. -10*j**2 + j Collect the terms in -21316*l - 2 + 7 + 0 - 5. -21316*l Collect the terms in 273*u**2 + 244*u**2 - 4 + 27*u + 13*u + 459*u**2. 976*u**2 + 40*u - 4 Collect the terms in -95*y - 36*y - 49*y + 248*y - 81*y. -13*y Collect the terms in 38*b - 250*b**2 - 18*b + 977*b**2 - 229*b**2 - 249*b**2 - 252*b**2. -3*b**2 + 20*b Collect the terms in -10435*h**3 - 1863*h**3 - 13499*h**3. -25797*h**3 Collect the terms in 190*m - 21 + 17*m*
{ "pile_set_name": "DM Mathematics" }
.5. -7316616.5 Work out 79831 + -7.34. 79823.66 Subtract 3726 from -1939. -5665 Calculate -27.4023 - 154060. -154087.4023 -1760+-19672 -21432 What is -0.660030607 take away -0.3? -0.360030607 What is -1750461963 minus 59? -1750462022 Total of 19.87984 and 1.8. 21.67984 Put together 0.278 and -87663530. -87663529.722 What is the distance between -4546 and 0.23187? 4546.23187 -575328 + 61 -575267 Add -6.88707 and -186.3. -193.18707 Calculate -0.0028 + 28970. 28969.9972 Add together 1086.445 and -62. 1024.445 -0.2 + -8991667871 -8991667871.2 -25694.6 + 521 -25173.6 What is the distance between -3 and -0.1753571? 2.8246429 1.6861739 + -0.4979 1.1882739 What is 0.5 + 1434.81? 1435.31 Put together 2682 and -0.2427. 2681.7573 Add -215147.2 and 0.13. -215147.07 Add together 7030 and -0.065093. 7029.934907 What is the difference between -3642551 and -0.01? 3642550.99 What is -121675210.4 minus -3? -121675207.4 Add together -21.493 and -11.04. -32.533 Add -0.02394739 and -5. -5.02394739 -88977731 + 43 -88977688 What is the difference between -5726351 and 3907? 5730258 Add -0.01 and -30707151.2. -30707151.21 What is -880.2 take away 575866? -576746.2 -5 + -5631.384 -5636.384 Put together -3.1 and 633.00168. 629.90168 What is -2194266 less than -0.388? 2194265.612 What is the difference between -22741930 and 31.3? 22741961.3 Put together 13308 and 2460. 15768 Sum 88369 and 193. 88562 What is 0.1 - 6185338? -6185337.9 What is the distance between -1.6 and -9937290? 9937288.4 Total of -0.05 and 8793101658. 8793101657.95 What is 1.15617 plus -125? -123.84383 What is the distance between 0 and -3865797.4? 3865797.4 Sum 5396446 and -0.175. 5396445.825 What is 88 less than 85642.115? 85554.115 7456.451+-13 7443.451 Sum 35079740 and 0.01. 35079740.01 Total of 69 and 0.19835218. 69.19835218 What is the difference between -36.3 and 311.123? 347.423 34286323+-7 34286316 18802.202 + -14.63 18787.572 What is the difference between 12608.5 and -10? 12618.5 Put together -37.209373 and 0.2. -37.009373 Total of 1286342 and 2486. 1288828 What is the difference between 4.3887341 and -0.05? 4.4387341 What is 77598693 less than -0.4? -77598693.4 Work out -6892.0549 - -132. -6760.0549 0.8219461 - -0.2 1.0219461 What is -269 - 0.051789? -269.051789 Work out 65677 - 7. 65670 What is -177 - 141.23533? -318.23533 52248930+78 52249008 Subtract -2.96 from -27644343.4. -27644340.44 Add together -230527 and 0.049. -230526.951 What is -0.28288 - -16737? 16736.71712 What is the difference between -41862.6 and 0.779? 41863.379 Sum -3.009608 and 0.0085. -3.001108 Calculate 5 - -0.00670664574. 5.00670664574 What is -45893 plus 63? -45830 Total of -4501165 and -0.1. -4501165.1 What is -40694 take away -1.3365? -40692.6635 2.2 - 1816344.45 -1816342.25 What is 21497 less than 0.0388742? -21496.9611258 Sum -2785.98 and 3.4. -2782.58 Calculate 2206568 + -3634. 2202934 Sum 0.08 and -3.3594369. -3.2794369 What is 4 plus 1373832745? 1373832749 Put together -25646343 and 0.21. -25646342.79 Work out 0.03 - 41204926. -41204925.97 Put together 4.528076 and -23. -18.471924 300.96 - -2.3 303.26 Total of -0.041950569 and 7. 6.958049431 Add together -16194 and 121.632. -16072.368 Work out 0.88817 - 3.71322. -2.82505 Add together -2.3 and 222963.8034. 222961.5034 Add 6782 and 0.644. 6782.644 Calculate 3 + -4.006376. -1.006376 What is 40 less than -456020372? -456020412 What is 1214066 take away -0.1778? 1214066.1778 Add together -511946984 and -1. -511946985 What is -192 take away -80161013? 80160821 What is -0.11702 - 0.15333? -0.27035 Work out -0.9 - 0.0685911325. -0.9685911325 Sum 3 and 21011494. 21011497 -1346129510 - -0.4 -1346129509.6 What is the distance between 6009369 and 325? 6009044 -4 + -5.451282 -9.451282 What is -439954 plus -0.10499? -439954.10499 Work out -2 - 77194354.19. -77194356.19 0.19 - -51295161 51295161.19 Subtract -3540941 from -0.5. 3540940.5 Calculate -27849 - -276.79. -27572.21 What is 0.18377794 less than 12? 11.81622206 What is -40228888 take away -0.091? -40228887.909 Subtract 0.09 from -114.837. -114.927 What is 46310176 take away 0.5? 46310175.5 Work out -56255093 - 1. -56255094 What is -278.79 take away -0.0021? -278.7879 Work out 0.35 - 39341810. -39341809.65 -205 + -0.07868 -205.07868 Add 19672878 and 0.05. 19672878.05 Add together 53360590 and -0.19. 53360589.81 What is 50 minus 1764.1117? -1714.1117 -0.2149 + -1.865419 -2.080319 What is the difference between -0.1332894 and -0.1? 0.0332894 Sum -0.1 and -8556116. -8556116.1 Calculate 0.2 - 257900.808. -257900.608 What is the difference between 1 and 60776517? 60776516 Work out 3 - 3.646217195. -0.646217195 Add -466785 and -6.93. -466791.93 Work out 0.156 - 99097. -99096.844 Calculate 1.5 - 0.0613764142. 1.4386235858 Put together -4.464929662 and 0.8. -3.664929662 What is -57180273297 minus 0.2? -57180273297.2 What is the difference between -36 and -370.81862? 334.81862 Work out -1033.39788 - 2. -1035.39788 0 - -129847499 129847499 What is -789969 take away 23.4? -789992.4 What is -18 plus -81663042? -81663060 Work out -1535.5 - 64.8. -1600.3 -64474496 - -5.15 -64474490.85 What is 0.1908 minus -22.0968? 22.2876 Add -195 and 102.864026. -92.135974 Sum 0.2 and -921216568. -921216567.8 -376 + 9.4253532 -366.5746468 Calculate -0.3 - -84344405. 84344404.7 Add together 15197318 and -4. 15197314 4 - 349854411 -349854407 What is 14.187 less than -0.2526? -14.4396 Calculate -6514.88 + 844. -5670.88 What is 18 take away 3345.827? -3327.827 What is 0.19 take away 370.5221? -370.3321 Calculate 20390.25 + 6.7. 20396.95 What is -9.26284 take away 1098? -1107.26284 What is the distance between 89.47 and 0.008? 89.462 What is 2.5602 plus 2697? 2699.5602 What is -1773328232 take away 0.1? -1773328232.1 Sum -2.95 and -5.5927. -8.5427 What is 0.071 minus -28982? 28982.071 What is -558 minus -123963083? 123962525 Calculate -48 - -0.556607. -47.443393 335011+234 335245 Work out -0.0505 - -221.8311. 221.7806 What is 8757063 plus -310? 8756753 What is the distance between 0.07361982 and -2.3? 2.37361982 Calculate 4 + -275823402. -275823398 What is 5810586 plus -0.2? 5810585.8 Calculate -4 - 0.119437783. -4.119437783 Add 4 and 7.970116. 11.970116 Total of -3 and -203625534. -203625537 Add together 0.4 and 27067971. 27067971.4 Add -55341 and -4.0027. -55345.0027 What is the distance between -664966 and -3.7? 664962.3 What is 7.36 less than 3.7047955? -3.6552045 What is the difference between 2678.9131 and -139? 2817.9131 -1.69+23868456 23868454.31 Subtract -0.2 from -28728335.8. -28728335.6 Work out -1.62 - 2182437. -2182438.62 Put together 153.76605195 and -3. 150.76605195 What is 10102676 + 0.048? 10102676.048 What is 0.024 plus -0.017998862? 0.006001138 Add -0.056585 and 17.13769. 17.081105 Work out -7870.812 - 0.2. -7871.012 What is -403913.518 plus -0.3? -403913.818 Add together -7576.6 and 677. -6899.6 Put together 5359.02 and -1.1. 5357.92 What is the difference between -920226.79 and 4? 920230.79 What is -98926 - -4244? -94682 What is 0.1219 minus -3541? 3541.1219 What is 117 plus 11947849? 11947966 Put together -0.4 and 523431894. 523431893.6 What is the distance between 0.0215 and 248.438? 248.4165 Add together 4 and -50.433. -46.433 Add together 8920318 and 0. 8920318 Add together 0.69430627 and -4.5. -3.80569373 Total of 0.9 and -5732292087. -5732292086.1 Subtract 22219964 from 3. -22219961 What is -883820.781 take away 0.05? -883820.831 Sum -3613829705 and -0.07. -3613829705.07 What is 5.9422509003 plus -0.4? 5.5422509003 Calculate 408 + -0.0135645. 407.9864355 -265436057+-0.5 -265436057.5 2601101524 - -2 2601101526 Work out 1.044 - -23060. 23061.044 What is 55.9 take away 0.9315845? 54.9684155 What is the distance between 0.09 and 13988348? 13988347.91 What is -1.6 + -667371473? -667371474.6 What is the difference between 2717995 and 17.5? 2717977.5 Total of -1084475 and -2.95. -1084477.95 0.6+114693.68 114694.28 Work out 2.125 + -0.326. 1.799 -12 + 50998423 50998411 What is -0.3 - 2169757274? -2169757274.3 What is -23310575766 - 0.5? -23310575766.5 Put together 1781501.5 and -0.5. 1781501 What is -870 + -0.4016? -870.4016 -2392747015+-0.4 -2392747015.4 What is -33306 take away -2.94? -33303.06 Put together 190.07196 and 0.5.
{ "pile_set_name": "DM Mathematics" }
for s. 9 Solve -3*u = -f - 16, -3*f + 709 = 712 for u. 5 Solve 3*o - 19 = -5*c, -9*c + 8*c + 3*o - 7 = 0 for c. 2 Solve -3*c + 13 = 2*i, -7*c + 4*c = -2*i - 29 for c. 7 Solve -4*h + 25 = 3*s + 42, 4*s - 4 = 0 for h. -5 Solve -y - j = -4, 1159 - 1146 = y + 4*j for y. 1 Solve -15*j + 13*j = 4*x, 0 = -x - j for x. 0 Solve 5*u + d - 27 = 0, 4*u = 17*d - 13*d + 12 for u. 5 Solve 17 = -b - 4*h, -3*h = 3*b + 64 - 49 for b. -1 Solve -d = -z + 7, 2*z + 3*d - 376 = -377 for z. 4 Solve 0 = -25*u + 23*u - 4*q + 46, 21 = 3*u + 2*q for u. -1 Solve 5*h - r - 15 = 0, 0 = 3*h + 1592*r - 1594*r - 16 for h. 2 Solve -l + 7*l - 57 = 3*s - 3*l, -l = -s - 7 for s. -1 Solve -2*a - 7*n + 5*n = -30, -5*a - 15 = -n for a. 0 Solve 14*a - 40 = j, 0 = -3*a - 7*j + 2*j + 19 for a. 3 Solve -3*f = -3*j + 45, -177*j + 57 = -176*j - 4*f for j. 1 Solve 5*w - 90 = 2*h, 53*w + 54 = -2*h + 56*w for h. 0 Solve -5*y - 4*o = 14 - 64, 3*y - o - 30 = 0 for y. 10 Solve 4*m - 2*y - 8 = 0, 4173*y = 4*m + 4177*y - 8 for m. 2 Solve -2*f = -5*o + 33 - 25, 2*o - 5*f - 20 = 0 for o. 0 Solve 0 = -4*z - 88, 3*q + 2*z + 31 = 2 for q. 5 Solve 5*c + 5884 = -5*s + 5979, 0 = 2*c - s + 22 for c. -1 Solve -3*z = -5*p, 12 = -32*p + 31*p + 3*z for p. 3 Solve -2*t + 6 = -5*a, 4*a - 54*t + 49*t = 2 for a. -2 Solve -m = -2*r + 6, -3*r - m + 5 = -4 for r. 3 Solve 8*g + o + 19 = 3*g, 3*g + 69 = -3*o + 60 for g. -4 Solve 376 = -a - 5*i + 391, i - 7 = -a for a. 5 Solve 541*u + 2*h = 540*u - 8, -4*h - 16 = 4*u for u. 0 Solve -4*b - 4 = -2*o, 15 = -b - 162*o + 166*o for b. 1 Solve -5*t + 4*a + 66 = 0, 2*t + 94*a + 42 = 92*a for t. -2 Solve 243 = -5*l - 2*x + 269, 24 = 3*l - 3*x for l. 6 Solve -3*b + 2*l = -18, -203*b + 101*b + 97*b + 8 = 4*l for b. 4 Solve 4*i - c + 12 = 3*c, 0 = -13*i + c - 63 for i. -5 Solve 1592*d - w = 1588*d - 12, w + 6 = -2*d for d. -3 Solve -5*u + 31 = 2*f, f - 4*u - 83 + 100 = 0 for f. 3 Solve -3*h + 5*d = -30, -13 = 80*h - 82*h + d for h. 5 Solve -5*g = -5*s + 30, -2*s = -3*g - 41868 + 41847 for s. -3 Solve -78*s - 5*p + 16 = -79*s, -4*p = -5*s - 17 for s. -1 Solve -2*o = -2*k - 2, -7*k + 3*k + 189308*o - 189312*o = 20 for k. -3 Solve -4*i - 3*h = -62, 4*h = -4*i + 5*h + 54 for i. 14 Solve 2044 - 2025 = u + 2*p, 218 = 17*u - p for u. 13 Solve 6 - 38 = -8*m - 2*i, 18 = 2*m + 3*i for m. 3 Solve 0 = -5*c + 3*n - 19, 5*n - 13 = -74*c + 73*c for c. -2 Solve -4*z - 2*j + 3573 = 3609, -5*j - 20 = 3*z for z. -10 Solve -623*v = -621*v + 8, 0 = 5*l - 5*v - 30 for l. 2 Solve 4*x + 2*n = 2, -21 = 3*x - 4*n - 28 for x. 1 Solve 749*a + 3*q - 31 = 745*a, -3*q + 24 = -3*a for a. 1 Solve 208*l - 205*l = c + 7, -c + l - 5 = 0 for c. -4 Solve 3*r - 18 = 3*i, -11*r + 236 = 3*i + 5*r + 235 for i. -5 Solve 5*o = 5, -5*a + 751*o = 750*o - 4 for a. 1 Solve y + 1255 = -3*k + 1248, y + 2*k = -3 for y. 5 Solve -66*a + 117 = 3*y - 12*a, -5*y + 4*a = -7 for y. 3 Solve 0 = -9*g - i + 1, -g - 3 = 3*i - 6*i for g. 0 Solve -270*p + 1 = -2*n - 273*p, 8 = 3*n - 5*p for n. 1 Solve -4*b = r + 268 - 292, 5*b - 29 = -r for b. 5 Solve 5*p + 7 = -z, 226*p + 11 = -5*z + 225*p for z. -2 Solve 25*y - 23*y - 3*n = 14, 2*n = -y + 7 for y. 7 Solve -5*s + 5*y = -0*s + 40, -5*s = -4*y + 35 for s. -3 Solve -13 = 3*j - 2*h + 10, -4*h + 21 = -j for j. -5 Solve 2*b = -5*u + 2, 45*b - 41*b = -3*u - 10 for b. -4 Solve 5*w = -1052 + 1097, 0 = -0*j - 4*j - 2*w + 10 for j. -2 Solve p + 5 = -c, 7155*p + 9 = 7150*p - c for p. -1 Solve -2*v - 6 = -2*s + 2*v, -10*s - 4*v = -54 for s. 5 Solve -3*y + 3 = -3*p, -y = 4*p - 344 + 328 for p. 3 Solve -15509*u + k + 1 = -15507*u, 5*u - 2*k = 5 for u. 3 Solve n + 34 = -4*s, -311*n = -315*n - 5*s - 37 for n. 2 Solve -l = 5*i + 33 - 70, -2*l - 2*i + 18 = 0 for l. 2 Solve -1966*d + 1968*d = -3*p + 9, 3*p = d + 9 for p. 3 Solve 0 = 3*s + 20*v - 72, -3616*v - 28 = -4*s - 3620*v for s. 4 Solve c - 2*i + 20 = 0, -67*i + 27*i = 4*c - 39*i - 1 for c. -2 Solve 4*r + 120*d = 122*d + 8, 0 = -2*d + 8 for r. 4 Solve -5*t - i - 38 = 0, 5*t - 81*i = -83*i - 41 for t. -7 Solve -5*y - 4*u - 97 = -154, 10*y - 134 = 2*u for y. 13 Solve -6*x + 2*x = 3*s + 45, -2*s - 3*x - 34 = 0 for s. 1 Solve -q + 28 - 38 = m, -m - 5 = -4*q for q. -1 Solve q = -5*r + 40, -1021*r = -1017*r - 3*q - 13 for r. 7 Solve 19 = -4*p - g, 4*p = -585*g + 588*g - 7 for p. -4 Solve 2*m + 10 = -4*x, 0 = 80*m - 53*m - 81 for x. -4 Solve -2*u = 3*h + 21, -10 = -h + 3*u - 17 for h. -7 Solve 5*j - 56*m = -25*m - 24*m - 27, 2*m - 15 = -j for j. 3 Solve 3*q - 22 = -5*y, -41 = q - y - 35 for q. -1 Solve -34 = -5*p - 3*y, 0 = -421*p + 423*p + y - 13 for p. 5 Solve -3*l - 21 = 0, 2*l = -3*w - 292 + 263 for w. -5 Solve w + 5 = r, r + 252 - 27 = -22*w for w. -10 Solve 4*y + 31*k = -32*k + 58*k, -3*y - 40*k = 0 for y. 0 Solve -2*y - 6*h + 8*h - 2 = 0, -3*y + h - 1 = 0 for y. 0 Solve 5*m = 6*b - 44, -10*m + 8*m = 2*b for b. 4 Solve 5868*t - 5871*t + 3*r - 6 = 0, 0 = -t - 3*r - 14 for t. -5 Solve -8 = 4*o, -23 = -3*w - o - 40 for w. -5 Solve 77*g = 5*w + 81*g + 24, g + 36 = -5*w for w. -8 Solve 3*d + 22 = 5*d - 3*q, 0 = 5*q + 11 + 19 for d. 2 Solve 3*k + 26 = 4*o, -4*o + 8*k = 6*k - 28 for o. 8 Solve 30*k - 28*k - 18 = 5*z, 0 = -3*k - 4*z - 19 for k. -1 Solve 4*y - 31 = -5*x, -4*x + 4*y + 1223 = 1227 for x. 3 Solve -3*q + 11*r = -37, 5*r + 49 = -67043*q + 67039*q for q. -6 Solve 4*j + 3*w - 15 = 0, w - 5 = 11*j - 14*j for j. 0 Solve -5*r + 59 = -7*i, 60 = -3*i - 2*r + 14 for i. -12 Solve 2*h - 6 = 4*c, 68*c + 3 = 63*c + h for c. 0 Solve -104 = -5*f - 4*o - 153, 4*f + 2*o + 32 = 0 for f. -5 Solve -3*u = 3*k - 15, u + 503 - 528 = -3*k for k. 10 Solve -94*g - 51 = -3*o - 97*g, -6*o + 2*g + 142 = 0 for o. 22 Solve w = 58*o - 57*o, -15 = 5*o for w. -3 Solve 8*i = 4*g + 24, -37*i + 49 - 12 = -34*i - 5*g for i. -1 Solve -59*o + 58*o + 10 = 5*d, 3*d = 3 for o. 5 Solve 7*y = -2*b + 9*y + 12, 0 = -18*b - 5*y - 7 for b. 1 Solve 237*f - 2*x = 239*f + 8, -23*f + 5*x - 36 = 0 for f. -2 Solve -25 = 5*a + 3*q, 3*q = a + 6 - 1 for a. -5 Solve -5*x + 257*a - 14 = 260*a, 0 = 2*x + 4*a + 14 for x. -1 Solve -2*c = -j + 4, -4*c = -34*j + 37*j + 28 for j. -4 Solve -98*l + 197*l = 100*l - 3, 4*p = l - 19 for p. -4 Solve -3 = r - 4*k, -3286*r + 39 = -3291*r - 4*k for r. -7 Solve -3*y - 22 = -4*f, -132*y + 2*f = -136*y for y. -2 Solve -9*f - 4*r = 78, -57*r = -3*f - 59*r - 24 for f. -10 Solve -3*l = 4*z + 15 - 38, 7 = 2*z - 3*l for z. 5 Solve 0 = -12*t + 4*t + 6*t + 18, -9*t + 81 = 2*d for d. 0 Solve -4*g - 16*n = -11*n + 8, 3*g = 3*n - 6 for g. -2 Solve p = y + 11, 65 = 5*y + 473*p - 470*p for y. 4 Solve 3*r - 69*a + 6 = -70*a, -6 = a for r. 0 Solve -p = -u, 3*p - 1741*u = -1744*u - 18 for p. -3 Solve -35 = -3*f - 5*x, -26*f = -23*f - 3*x - 3 for f. 5 Solve 1296*v + 2 = w + 1294*v, 5*v = 2*w - 4 for w. 2 Solve 2*i - 124*k + 100*k = 86, 0 = 2*i + i - 4*k - 1 for i. -5 Solve -5*o - 7 = 2*l + 4, -3*o - 13 = -2*l for o. -3 Solve 24 = 3*d + 6*b, 11*d - 7*d + 4*b - 16 = 0 for d. 0 Solve 71*h - 5*m + 5 = 66*h, 2*m - 8 = -h for h. 2 Solve 5*p = -2*t + 32, 8*t + 2460 = -4*p + 2524 for t. 6 Solve 165*k - 170*k = 3*y - 2, -5*y - 4*k = 14 for y. -6 Solve -1 = -s + 4*o, 222*s - 3*o + 33 = 225*s for s. 9 Solve 2*w = -4*k - 26, 5*w + 5405 = -k + 5385 for k. -5 Solve 3*z - 27 = -5*b, -4196*b + 4224*b + 2*z = -2*z + 100 for b. 3 Solve -2*p = 4*y + 20, -23*p = -22*p - 2 for y. -6 Solve -4*a = -4*y - 24, -151*a + 32 = -147*a + 4*y for a. 7 Solve 0 = 5*u - 2*z + 15, 41*u - 36*u - z + 15 = 0 for u. -3 Solve 330*p - 3*f = 333*p + 33, 5*f + 52 = -4*p for p. -3 Solve 4*n - 6*v = -3*v + 6, 4*n = -2*v + 16 for n. 3 Solve 6*u - 81 = 8*u - 21*h, 0 + 5 = h for u. 12 Solve 4*t = -5*z - 17, 5*t - 2*t - 56 = 10*z for z. -5 Solve -712*u + 2*i - 13 = -717*u, 0 = 9*u - 5*i - 32 for u. 3 Solve -35*f = 5*t + 31*f - 61*f + 40, 5*f = 0 for t. -8 Solve 6*y - 16*z = 50, -5*y - 3*z = 320 - 280 for y. -5 Solve -3*d + o = 7, 4*o = 4*d + 89 - 61 for d. 0 Solve 3*s = -3*o - 30, 5*o + 4*s = -23 - 22 for o. -5 Solve 0*t + 3*k - 39 = -t, -57 = -3*t - 4*k for t. 3 Solve 3*t = 2*d + 18, -3*d = 1542*t - 1541*t + 5 for t. 4 Solve 0 = -4*z - w - 5, -2*z - 43286*w + 43288*w = 10 for z. -2 Solve -2*o - 5*l - 29 = 0, -2*l = -215*o + 211*o - 46 for o. -12 Solve -4 = v, -3*g + 17*v + 20 = -36 for g. -4 Solve 38 = -5*l - 4*c, -2*l + 2*c = 3399 - 3391
{ "pile_set_name": "DM Mathematics" }
(q) = -2*q**4 - q**3 + q**2 - 1. Let f(r) = -t(r) - 5*v(r). What is the second derivative of f(x) wrt x? 12*x**2 + 48 Suppose -z + 4*z - 4*i = 32, 0 = z - 2*i - 14. Suppose -4 = -2*y + z. Find the third derivative of -3*d**2 + 5*d**y + 2*d**2 + 4*d**2 + d**2 wrt d. 120*d Let z(h) = h**2 + h - 2. Let d be z(-3). Let i be (d/5)/((-2)/(-5)). Differentiate -w**2 + 3*w**2 - 2 + 4*w**i wrt w. 12*w Let h(k) be the third derivative of 101*k**7/105 + 223*k**3/6 - 238*k**2. What is the derivative of h(u) wrt u? 808*u**3 Suppose 5*v = -z - 4*z + 75, 41 = 3*z + 4*v. Suppose 2*h + 10 = 5*f - 23, h = 3*f - z. What is the derivative of -y - 7*y - 5 + 2*y - f*y wrt y? -11 Differentiate 50 + 359*p**3 + 71 - 54 + 271 with respect to p. 1077*p**2 Suppose 0*j + 1 = j. Differentiate -4 - 2*u - 4 + j - 11 wrt u. -2 Let l(y) be the second derivative of -1/10*y**5 + 7/6*y**4 + 0*y**3 + 0*y**2 + 0 + 9*y. Find the third derivative of l(d) wrt d. -12 Let y be (-1)/((-2)/(-4)) + 11. Let b be (-1)/(-2)*0 - -7. Find the second derivative of -4*j + b*j**2 + 4*j**2 - y*j**2 wrt j. 4 Let y(u) = 68*u**4 + 4*u**3 - 71*u**2 + 2*u. Let g(i) = i**4 - i**3 + 3*i**2 - i + 1. Let l(d) = 2*g(d) + y(d). Find the third derivative of l(m) wrt m. 1680*m + 12 Let i(u) = 324*u**3 + 40*u**2 + 8*u - 3. Let x(j) = -324*j**3 - 41*j**2 - 9*j + 4. Let s(d) = -4*i(d) - 3*x(d). Find the third derivative of s(q) wrt q. -1944 Differentiate -117*w**2 + 82*w**3 + 117*w**2 + 5 wrt w. 246*w**2 Let y(o) = -o**3 + 6*o**2 - o - 9. Let c be y(4). Differentiate -5 + c*i**3 - 5 + 33 with respect to i. 57*i**2 Find the third derivative of -258*g**5 - 32*g**5 + 3289*g**2 - 539*g**5 + 178*g**5 - 3100*g**2 wrt g. -39060*g**2 Let o(t) be the second derivative of 71*t**6/5 + t**3/3 - 76*t**2 - 740*t. Find the second derivative of o(u) wrt u. 5112*u**2 Differentiate 16*s**4 - 88 - 3*s**4 - 10*s**3 + 8*s**3 - 6 wrt s. 52*s**3 - 6*s**2 Let l be (-2 + 2)/((-6 - -4)*-1). Let y(s) be the second derivative of 7/6*s**3 - 7*s + 0*s**2 + l - 1/12*s**4. What is the second derivative of y(r) wrt r? -2 Suppose -5*r + 3*l + 114 = 0, -l = -6*r + 4*r + 45. What is the derivative of 32*c**3 + 38*c + 11 - r*c - 17*c wrt c? 96*c**2 What is the second derivative of -335 - 11*j + 331 + 71*j**3 - 5*j wrt j? 426*j Let j(r) = -r - 8. Let q be j(-13). Find the third derivative of c**2 + 8*c**q + 35*c**5 - c + 21*c wrt c. 2580*c**2 Suppose -8*b = -6*b - 4. Let s(r) be the third derivative of 2/3*r**3 + 0*r + 3*r**b + 0 - 1/8*r**4. Find the first derivative of s(t) wrt t. -3 Suppose 0 = -0*j + 3*j - 3. Suppose -9*f = -10*f + j. What is the derivative of 7*b**2 + f - b**2 - 2 + 0*b**2 wrt b? 12*b Suppose -1 = -c + 4. Suppose -s = c*g - 21, -4*s = -2*g - 0*g + 26. What is the second derivative of -18*b**3 - 6*b**g + 18*b**3 + 2*b wrt b? -120*b**3 Let h(w) be the second derivative of 5*w**4/4 + w**3/6 - 79*w**2/2 + 136*w. Find the second derivative of h(i) wrt i. 30 What is the second derivative of -34*o + 32*o - 108*o**5 + 187*o + o**2 - 7*o wrt o? -2160*o**3 + 2 Let q be (-60)/(-2) + -3 + 0. What is the second derivative of -2*c**4 + q*c**4 - 3*c**4 + 10*c**4 - 30*c wrt c? 384*c**2 Let y(i) be the third derivative of -59*i**5/60 - 5*i**4/8 + i**3/6 - 86*i**2 + 2*i. What is the second derivative of y(s) wrt s? -118 What is the third derivative of -66*o**3 - 2*o**2 - 6*o**2 - 37*o**3 + 6*o**2 - 14 - 95 wrt o? -618 Let l(m) be the third derivative of 41*m**4/24 + 7*m**3/6 + 5*m**2 + 6*m. What is the derivative of l(s) wrt s? 41 Suppose 0 = -5*q - 3*a - 48, 8*q + 49 = 3*q - 4*a. Let d be ((-24)/q)/(2/3). Find the second derivative of -3*o**4 - 13*o - o**d + 11*o wrt o. -48*o**2 Let n(v) = 356*v**2 + 234*v + 32. Let w(s) = 71*s**2 + 47*s + 6. Let d(l) = -3*n(l) + 16*w(l). Find the second derivative of d(r) wrt r. 136 Let f(j) be the first derivative of 131*j**5/5 + 17*j**3/3 - 4*j + 7. What is the third derivative of f(b) wrt b? 3144*b Let h(k) = -7*k - 1. Let g be h(2). Let p = g - -18. Differentiate p*r**2 - 4*r - 1 + 4*r with respect to r. 6*r Let a(b) = -27*b + 14. Let g(o) = -14*o + 7. Let c(d) = 6*a(d) - 14*g(d). Differentiate c(t) with respect to t. 34 Let q(c) = -65*c**2 + 82. Let z(j) = 194*j**2 - 246. Let x(t) = 7*q(t) + 2*z(t). Differentiate x(g) wrt g. -134*g Let m(y) be the first derivative of -369*y**7/7 + 2*y**5/5 + y**3 - 3*y**2/2 - 482. What is the third derivative of m(i) wrt i? -44280*i**3 + 48*i Let z(l) = l**2 - 2*l + 3. Let a be z(2). What is the third derivative of 8*t**3 - t**3 + t**3 - a*t**2 wrt t? 48 Suppose 4*t + 2*t = 444. What is the third derivative of 11*j**3 - 13*j**2 + 8*j**3 + 74 - t wrt j? 114 What is the second derivative of 5 - 69*b**4 + 42*b**4 + b**5 + 8*b - 9*b wrt b? 20*b**3 - 324*b**2 Let v(k) = 82*k**3 + 3*k**2 + 5*k - 121. Let a(h) = 41*h**3 + h**2 + 2*h - 60. Let j(b) = -5*a(b) + 2*v(b). Differentiate j(f) wrt f. -123*f**2 + 2*f Let f = -4 - -12. What is the first derivative of -4*a - 8*a**2 + 4*a + f wrt a? -16*a Let q be (0 + (-13 - -4))*-3. What is the derivative of -22 + 42 - 19*u**2 - q wrt u? -38*u Find the third derivative of -9*s**3 - 22*s**2 - 2*s + 2*s - 10*s**3 wrt s. -114 Let q(u) = 123*u - 219. Let c(y) = -1. Let d(a) = -9*c(a) - q(a). Differentiate d(t) with respect to t. -123 Suppose -a + 15 = -6*a, 4*a = 5*y - 22. Suppose 0 = -4*k + 3*t + 94, -2*k + 24 = 4*t - 12. Differentiate k*u**4 + y + 9 - 26*u**4 with respect to u. -16*u**3 What is the third derivative of -103 - 148*x**5 + 96*x**2 + 210 - 107 wrt x? -8880*x**2 Let s be ((-35)/10 + 4)/((-1)/(-4)). Find the third derivative of -7*c**2 + 3*c**3 + c**s - 9*c**2 - 17*c**2 wrt c. 18 Let j(v) = -v**3 + v**2 + v. Let w be (-2 + 3)*(-2 - 4)*1. Let m(n) = 3*n**3 - 6*n**2 - 6*n + 8. Let a(z) = w*j(z) - m(z). What is the derivative of a(b) wrt b? 9*b**2 Suppose 4*m = -0*m. Suppose m = t - 3*p - 5, -3*t - 2*p + 7 = -3*p. What is the third derivative of 4*a**3 - 2*a**3 + a**t - 7*a**3 wrt a? -30 Let j(u) = -79*u**2 - 355*u + 3. Let x(k) = -396*k**2 - 1772*k + 16. Let y(t) = 16*j(t) - 3*x(t). What is the second derivative of y(m) wrt m? -152 Find the first derivative of -16 - 3*r**3 + 540*r**4 + 6*r**3 - 544*r**4 wrt r. -16*r**3 + 9*r**2 Let h(m) = -m**3 + 2*m**2 - 2*m + 58. Let l be h(0). What is the second derivative of -w**2 + 2*w + w**2 - 41*w**5 + l*w**5 wrt w? 340*w**3 Let q(s) be the first derivative of -318*s**5/5 - s**4/4 + 2*s**3/3 - 136*s - 452. What is the third derivative of q(a) wrt a? -7632*a - 6 Suppose -2*f + 9 = j, -4*f - 3 = -j - 6. Suppose -j - 4 = -3*s + 3*d, 2*s = 4*d + 2. Differentiate -z**3 + 4 + s*z**3 - 2 + z**3 wrt z. 15*z**2 What is the first derivative of 166 + 8*c**2 - 5*c - 4*c + 2*c - 5*c + 7*c wrt c? 16*c - 5 Let l(m) be the first derivative of 42*m**4 + m**3 - 3*m**2/2 + 86. Find the third derivative of l(c) wrt c. 1008 Let x(v) = 21*v**3 + 9*v + 86. Let j(s) = 5*s**3 + 7*s**3 - 30 + 4*s + 73 - 2*s**3. Let b(p) = -9*j(p) + 4*x(p). Differentiate b(w) wrt w. -18*w**2 Let o = -50 - -62. What is the second derivative of -16*j - o*j - 58*j**4 + 19*j**4 wrt j? -468*j**2 What is the derivative of -15*p**3 - 46*p**3 + 156 - 76*p**3 + 12*p**3 wrt p? -375*p**2 Let w be -2 + (3 - 4)*-2. Suppose 0*x - x + 4 = w. Find the third derivative of 10*h**4 - 10*h**4 + x*h**5 + 3*h**2 wrt h. 240*h**2 Let g be (-6)/9 - (-34)/6. Suppose l - 36 = -5*q - 9, 0 = g*l + q - 15. What is the third derivative of -4*b**6 - 8*b**l - 6*b**6 + 0*b**6 wrt b? -1200*b**3 Let a(s) be the third derivative of -22*s**2 + 0 - 5/6*s**4 + 0*s - 1/60*s**5 + 0*s**3. What is the second derivative of a(u) wrt u? -2 Let n(i) = -i - 4. Let k be n(-12). Differentiate 0 + 8 + k - 2*v - 4 with respect to v. -2 Let d(m) = -2*m**2 - 42*m + 2. Suppose 7*h - 5 = 2. Let z(n) = -n**3 + n**2 - n - 1. Let f(r) = h*d(r) + 2*z(r). What is the second derivative of f(b) wrt b? -12*b Let b(z) be the third derivative of -7*z**4/12 + 3*z**3/2 + 2*z**2. Let r(s) = 15*s - 10. Let l(k) = 4*b(k) + 3*r(k). Find the first derivative of l(h) wrt h. -11 Let u(m) be the third derivative of -5*m**4/8 + 101*m**3/6 + m**2 + 16. Find the first derivative of u(t) wrt t. -15 Suppose -4 = -2*l + 6. Find the third derivative of -3*v**2 - 2*v**5 - 14*v**l + 9*v**2 wrt v. -960*v**2 Let d(f) = -
{ "pile_set_name": "DM Mathematics" }
283 + 265)*6/9 + (96 - 14/(-7))? 86 Calculate 1404/(-6435)*(-11)/2*7 + -12. -18/5 ((-86731)/1333 - -25) + (-10)/(-155) -40 Evaluate (-15)/((7 - 189/14)*16/(-8) + -12). -15 Calculate (-108)/13 - (-8 + 0) - (-361)/(-988)*-20. 7 Evaluate (-2)/44*(-28930)/94680. 1/72 What is the value of -7 - (-2400)/80 - (-535)/(-23)? -6/23 Evaluate ((-475)/2128)/((-10)/(-7)). -5/32 ((-120)/(-147))/((-5904)/(-45920)*(-50)/(-108)) 96/7 Calculate -11*10703/2541 - 1/(-3). -46 What is the value of (-90)/(-72) - ((-40755)/(-1287))/((-4)/3)? 25 (-2 + 12)*((-22)/(-11) - 6) -40 Evaluate (-5256)/76 - (602/(-4655) + (-103)/3605). -69 Evaluate (17160/156)/(25/(-10)). -44 What is the value of 5/((-2050)/(-144)) + (2/85)/(581/(-9877))? -2/41 Evaluate 60*((-2)/90)/(1209/(-558)). 8/13 What is 13 + 0 - (-1)/(((-539)/224)/(-77))? 45 ((-168)/(-4) + 7)/((-6)/(-1)*(-114)/171) -49/4 What is the value of ((-30)/25)/((240/(-900))/((2/1)/1))? 9 What is 20/32*2060/18025? 1/14 What is the value of 98 + 11966/(-124) + 33/(-12)? -5/4 Calculate 5875/19975 - 2514/51. -49 What is (-96 + (-16643)/(-178))/((-10)/208)? 52 Calculate -132 - 2825/(-25) - 10/2*11. -74 Calculate ((-134)/335)/((-28)/35). 1/2 4/(1 + 0)*(-15)/70 + (-1074906)/(-22001) 48 Calculate 2/1 - (-354032)/6322. 58 Calculate -1 - (1 - 12) - 338819/35399. 3/7 What is 3*(-2)/(-21) + (-290385)/(-1701) + -185? -14 What is the value of (8/1 - 1) + (5443 - 5382)? 68 What is 0 + (-64 - -37)*(-36)/(-27)? -36 Evaluate 16/(432/2145) - ((2800/(-90))/2 + 16). 79 What is the value of (-6601520)/94505 - (-12)/(-82)? -70 Evaluate (14 - (-29)/((-609)/322)) + 770/(-120). -31/4 Evaluate (-1 + 4 - (-306)/(-90)) + -4*13/845. -6/13 Evaluate 460/(-1380) + 5/(-3). -2 (-26)/(-74)*((-6)/21)/(1573/(-847)) 2/37 What is -72*12013/63288*(-3)/(-4)? -41/4 Evaluate 3*(-396)/81 - (10 + 192/(-18)). -14 What is the value of 5/(12325/(-2523) + 5) - 4/8? 43 Calculate (-60341)/(-12284) + 48/(-296). 19/4 What is the value of -749 + 707 + (-5 - -29)? -18 -1 + (41/14 - 2) - (-79 + 56805/490) -37 What is the value of 76/(-539) - (-39)/(-572)*400/(-150)? 2/49 Calculate -11*(-195)/495*(-11 + 5). -26 Calculate (-828)/(-230)*(12 + (-4)/2). 36 Calculate ((624/108)/(-13) + ((-175)/45)/7)*-48. 48 ((-64)/(-96))/((-8114)/(-738) + 1 + (-973 - -961)) -123 What is 89 - 311450*28/98000? 1/70 What is 13 - ((-318)/8)/(435 - 438)? -1/4 What is ((-64)/28)/(28/490)? -40 Evaluate -11 - 1365/1309*-11. 8/17 What is 854854/(-174460)*(-20)/14? 7 What is the value of (2 + 6 + -7)/(186/(-837)*18/(-428))? 107 What is -2 + (-578)/8 + 3*18 + (-224256)/4096? -75 Evaluate (67/((-24723)/(-246)))/((-17)/3). -2/17 What is 5 - (3859/595 + 45/(-35))? -1/5 Calculate (2*-2 + (-4095)/(-1105))*(-12)/30. 2/17 What is 5628/24*9*(-30)/945? -67 Calculate -228 + 182 + (28 - 1) - 3. -22 Calculate 80/5*-20*61/(-1220). 16 What is (-145 + 61 - -82)*(-2 - (-60)/9)? -28/3 Calculate 860/(-60) - (-35 + 10). 32/3 Calculate 2*4/(-16) - (-77856)/123272. 5/38 (-4)/44 - 68904/(-534336) - (-1)/(-8) -2/23 Calculate -2*(6/(-2))/((-6)/8)*(-2147)/226. 76 -11 + (-6273)/(-574) - 1077/14 -77 446/(-446)*(8 - -1) + 155/(-5) -40 What is the value of (15 - 3)*(-84)/56 + -85 - (-2 + 4)? -105 Calculate 893146/8502 + -105 + (-5)/(-156). 1/12 Calculate (-152)/144 - (-3084)/(-6939). -3/2 Calculate -3 + 506/165 + (-23359)/(-1065). 22 Calculate (2198 + -2297)*((-2)/2)/((-5)/(-5)). 99 Evaluate (-150 + 148)*(-1 + 1 - (-17)/(-867)). 2/51 What is 2 - (-3)/(-1) - -1 - -16*(-4982)/(-848)? 94 What is (0 - (-7)/2)/((-343)/(-1470) + (-22)/66)? -35 What is -228 - (-238 + -86 + 219)? -123 Calculate ((-2)/11)/(-690*(-82)/62238). -1/5 What is 7280 - 7280 - (-1 - -1 - 25)? 25 What is -153*22/(-165)*265/106? 51 Calculate ((-1344)/(-20 + 4))/(6/1). 14 What is ((29/29 - -6) + 1462/(-208))/((-2)/16)? 3/13 9/((18/104)/(387/(-258))) -78 What is (-26)/(-199 - 35)*1/(-2)? -1/18 Calculate ((-55)/10 - -6)*(-2081 - -2283). 101 (54272/(-136))/(-16) - (-9 + 0)/153 25 (-1092)/20202 - 6800/148 -46 What is the value of 36/66 + (-838)/(-10)*-15*(-38)/(-2508)? -37/2 What is the value of ((-28)/3 + 16/48)*(-1 - (-152)/120)? -12/5 Calculate (-6)/(-4) - (-1767)/(-1054) - 966/17. -57 What is ((-803)/(-55) - 13)/(14/140)? 16 (24/9)/(((-56)/(-36))/7) + 1080/(-20) -42 What is (-350)/(-125)*19530/24304? 9/4 What is the value of -13 - (286/(-132) - 11594/204)? 46 What is (-44)/(-86)*(-1936)/(-10648)? 4/43 Calculate (12 + -31 + 130)*(-30)/(-45). 74 What is (-62)/(24304/(-1624)) - (-14)/(-21)*3? 15/7 Evaluate (8375/(-5025) + (-31)/(-21))*-12. 16/7 Evaluate (-2 + (-21)/15 + (-60)/(-60))*220/(-4). 132 Calculate 24622/(-22728)*42/(-26). 7/4 (-1 - 1)*11*681/4767 -22/7 What is (6/(-44))/(1910/(-7640))? 6/11 Calculate -92*(8 - (19 + (-52)/13)*3/6). -46 (40/8)/(-8 + 2662/264) 12/5 (-18)/(-135)*10*(-23)/(-4)*-3 -23 What is the value of (101 + -52)*(0 - ((-10)/21)/5*9)? 42 What is the value of -28 - (-36 - -39) - -105? 74 Evaluate (6/(-4))/((-180)/40 + 5). -3 Evaluate (-35 - (-18216)/460)*5. 23 What is ((-71)/15 - 2/(-6))*154023/102682? -33/5 Calculate (216/29952*-52)/((-4)/(-448)). -42 What is the value of 9*(68/12 - 5)/(420/(-350))? -5 1/(1 + 4 + (-147443)/26885 + 4/5) 19/6 What is the value of (3*2 + -266 + 261)/((0 + -5)/335)? -67 What is (21 - 2254/105)/(5/(-30))? 14/5 ((-145)/50)/(19/((-2280)/48)) + -8 -3/4 Calculate 470/47 - -90*(3 - (-102)/(-30)). -26 What is (-6 + 8)*((-144)/14 + (-31)/((-155)/50))? -4/7 What is the value of 112/36 + 0 + (-1259499)/194184? -27/8 What is (-1153 - -1152)/((-60)/316*21 + 4)? -79 What is (279/27 - 12)*(6/(-9))/(130/7371)? 63 Calculate (-1338)/(-122) + 2418 + -2429. -2/61 Evaluate 50/(-15950)*29*(0 + 1)/((-3)/15). 5/11 What is the value of ((-2 - ((14 - 3) + -2)) + 13)*(-4)/(-72)? 1/9 Evaluate (-259)/1260 - (238/(-504) + 72/324). 2/45 Evaluate ((-154)/6)/(((-976)/(-61))/(-48)). 77 What is the value of 479635/265644 + 10/8*-1? 5/9 Calculate -2 + 0 + 6864/1092 - 2/3*-6. 58/7 Calculate ((-84)/182*-13)/(174/1508). 52 -7*(448/(-16) + 17 + 2) 63 Calculate 52/20 + ((-13)/(-325))/(6/60). 3 What is -4*(-33)/(-12)*(-79)/1738*-60? -30 Calculate (35 + (-37099)/1058)/(9/(-24)). 4/23 Evaluate (32 - 1900/60)/((-46)/(-12)). 2/23 What is the value of (4 - (-774)/54) + -9 + (-7)/3? 7 What is (60396/5544*-12 - -78) + (50/(-22) - -2)? -53 4937 + -5056 - 7*-8 -63 301/(518322/160020) + -93 -3/41 Calculate (-294)/6 + ((1118/(-129))/(-26))/(1/(-27)). -58 Evaluate ((-820)/(-24))/41*42/105. 1/3 Evaluate (-4 - 2/8*-18)/(778/(-119812)). -77 3/(-1)*(3034300/(-115140) - 5*(-10)/2525) 79 Evaluate (-33 - (-3 - 60411/2028))*3/(-11). 3/52 Evaluate 82005/3465 + (-8)/3. 21 What is 1*(-1 - (-12)/10)/(56/(-1232)*-22)? 1/5 (-20 + 1463/57)/((-18)/162) -51 Evaluate (-124)/12 + (-2054)/18096*-88. -10/29 What is (-10738488)/228216 + (-47)/(-1)? -2/37 Calculate (-52128)/(-9803322) + (-6)/(-177). 2/51 Evaluate 4/((-220)/25*-5) - 29/((-319)/582). 53 -1030*(-16)/(-1824) - (-18)/513 -9 42*(-4)/5*495*39/6006 -108 Calculate 6/((-66)/44 + (-9)/(-4)) - -50. 58 What is 4*-4 - 23264636/(-1452514)? 2/119 What is 2/(-326)*-10*32160/160800? 2/163 (36/92)/(2879/(-463519)) -63 What is (-16)/14 - (-1 - 1)/((-39368)/(-41144))? 18/19 What is the value of 44/(-33)*87*(-61)/(-219356)? -1/31 31 + (-76 - (-6670)/150) -8/15 Evaluate (345/966)/(((-143)/13)/66). -15/7 Calculate (5/10)/((-5 - 111/(-21))/((-48)/(-483))). 4/23 What is (-27)/(-18)*-6 + 5*(-13)/(-65)*69? 60 What is the value of (12 + 26/(-91)*37)*-6 - -8? -4/7 What is (-1614)/5499 - 13684/(-44473)? 2/141 What is ((-110)/(-132))/(1715/(-1764))? -6/7 ((-1048)/15)/(-4)*((-46750)/204)/275 - -15 4/9 Evaluate (-6765)/3198*-13 - 1/2. 27 Calculate (-1 - 4) + (-1404)/(-162)*(-3)/(-2). 8 (-80)/(-595) - 56/(-98) 12/17 Calculate ((-33)/(-6))/((-294)/(-735))*1064/190. 77 Calculate 10 + 6984/(-684) - 213/(-19). 11 Evaluate ((-195)/(-105))/((-2)/(-14)) - (1642/126)/1. -2/63 Calculate (-31)/6696*18 - ((-1880)/288 - -7). -5/9 What is 18 - ((-225)/(-50) - (-186)/36*9)? -33 Calculate 3/3*(-3082 + 3062 - (4 - 2 - -59)). -81 What is the value of ((105/77)/(-15))/((12 + -6)/(-462))? 7 What is 17 + (-13)/((-7410)/7290) + 24/114? 30 What is the value of ((-225)/54 + 8 - -14) + -18? -1/6 What is -2*((3 - -17) + (-1210)/60)*10/14? 5/21 Calculate 5445/(-484) - (3/(-9) - (-4)/((-144)/6)).
{ "pile_set_name": "DM Mathematics" }
2*x + j = 4*x. Solve 4*q - a = a - 8, 0 = x*a for q. -2 Let n be 0/(1/(-1)) + -10. Let u be n/(-3) - 2/6. Solve -2*s + u*a - 7 = -20, 3*a + 1 = -4*s for s. 2 Suppose 2*c - 5 = c. Let x(p) = -p + 5. Let j be x(c). Let g be 2/(-4)*0/3 - -8. Solve -u - 2*k + g = 0, 0 = -5*u - j*k - 3*k + 26 for u. 4 Suppose 55 = -o + 60. Solve z = 2*z, -4*z = m + o for m. -5 Suppose 3*q = 2*q + 2. Solve 0 = -q*w - 4*i + 8, 3*i - 5 = 7 for w. -4 Let d = -64 + 69. Solve -d*b - 12 = 5*u + 3, 3*b + 17 = u for u. 2 Let y = 60 - 40. Let f be (7 + -2)*3/3. Solve f*t = -3*k + y, 2*k + 2*k + 4*t - 16 = 0 for k. 0 Suppose -5*z - 10 = -0*z. Let b(c) = -c**3 - c - 2. Let i be b(z). Suppose 0 = -o - 1 - 3, 5*r - 2*o = 28. Solve -r = -v - 2*y - y, 4*v = -4*y - i for v. -5 Let g = 3 + 1. Solve m = -2*z + 7, -4 = -3*z - g*m + 19 for z. 1 Suppose 2 = t - 0. Suppose -2*j = -0 + 6. Let k = j - -12. Solve t*g + v + 10 = 5*v, -3*g = -3*v + k for g. -1 Let w(p) = -2*p + 6. Let u be w(7). Let i be u/(-6)*3/2. Solve -5*g - 15 = -4*n + 2*n, -15 = i*g + n for g. -5 Let z(y) = 2*y - 5. Let x be z(4). Suppose 5*v = -3*g - 15, -3*v - 10 = x*g - 1. Suppose -2*o - o = g. Solve -u - 2*h - 6 + 2 = 0, -h - 3 = o for u. 2 Suppose -50 = 4*z - 9*z. Suppose 0 = -4*u + 2*d + 10, -2*u = -0*u - 3*d - 7. Solve -2*a = -5*j - z, -j + 2*a = -u*a + 20 for j. 0 Suppose -3*p + 5*b = -1, 2 = 5*p - b - 7. Suppose 0 = -p*q - q + 12. Suppose 3 = q*k - 9. Solve -4*w - k*s - 24 = w, 15 = -3*w - 2*s for w. -3 Let x(w) be the first derivative of w**2/2 - 12*w - 6. Let k be x(15). Solve -5*z = -k*r - 23 + 3, r + 5*z = 0 for r. -5 Let y = -96 + 98. Solve 5*q + y*o - 9 = 0, o + 1 - 2 = q for q. 1 Suppose -n + z - 17 = 0, -4*n - 64 = -0*n - 3*z. Let y = n - -19. Solve k = 2*l - y, -k - 2 = -0*k for l. 2 Let l(o) = 11*o + 2. Let f be l(1). Solve -j + 3 = -a, -f = -3*j - 2*a + a for j. 4 Suppose -2*s - 2*z = 2*s - 18, -5*s - 3*z + 24 = 0. Solve -t - 3*i + 0*i = -7, -s*t + 5 = 5*i for t. -5 Let g be (-2 - 3)*(-3)/(-5). Let l be (56/6)/((-2)/g). Solve -5*x + 4*v - 19 = v, 0 = -4*x + 3*v - l for x. -5 Let x(w) = -w**2 + 3*w - 6. Let o be x(4). Let u be (-41)/5 + (-2)/o. Let d be u/(-6) + (-4)/(-6). Solve -q + 3*i + 7 = 0, -d*i + 6*i = 2*q - 12 for q. 4 Suppose -3*t + 2*t = -3*n, 0 = -3*t. Suppose m - w - 2 = n, 3*m - 3*w = -4*w + 18. Solve -c - 13 = -m*s + 2*c, -5*c = -3*s - 5 for s. 5 Suppose 2*w = -3*w + 75. Solve 5*f = 5*l + 35, 2*f - l - w = -3 for f. 5 Let c = -8 + 11. Let r = 5 - c. Suppose 2*i - 24 = r*h, 2*h + 44 = 4*i - 0*h. Solve 0 = -5*n + 2*u - 2, -2*n = -n - 3*u - i for n. -2 Let d be (2/4)/(2/(-60)). Let u be d*(16/6)/(-4). Solve 2*t + 0*t = 3*v - u, -2*v = -2*t - 10 for v. 0 Let p be (-56)/24 + (-2)/(-6). Let u(f) = f**3 + 2*f**2 - f + 1. Let t be u(p). Solve t*k - 6 = -3*x, -2*k + 0*x = 5*x - 1 for k. 3 Let i be -3 + 3 + 2 - -2. Suppose -3*x + 5*x = i. Suppose -x*z + 26 = -z. Solve 12 + 0 = -3*a + 3*r, r = -5*a - z for a. -5 Let c(n) = 3*n**2 - 4*n + 2. Let m be c(2). Let p be m*4/6*1. Solve -4*x + 32 = 3*f, -9 - 11 = -p*x for f. 4 Let z(b) = b**2 - 8*b - 7. Let p be z(11). Let s(i) = i + 2. Let k be s(4). Solve 4*g = 5*y - p, -k*g - 22 = -g - y for g. -4 Let c(w) = 2*w**2 - 5*w - 3. Let k be c(-5). Suppose 9*i - 4*i = a - 24, i = 3*a - k. Suppose -4 = 5*z - a. Solve b + 18 = 4*p, 0 = -z*p - 3*b - 0*b + 10 for p. 4 Suppose -v = -3*q + 12, 11*v - 16*v + 12 = 3*q. Suppose 5*d + 5 = 5*f, 3*f + 4*d = d + 27. Let o = 1 + -1. Solve o = 2*i + j - 0*j + q, 4*j + 16 = -f*i for i. 0 Suppose -2*a - 6 = -2*t - 18, 3*a - 14 = 5*t. Solve -5*c = -f + 6, -3*f - a = c - 3*c for f. -4 Let l(o) = o**3 + 9*o**2 + 8*o + 2. Let t be (16/2)/(-9 + 8). Let n be l(t). Solve -n*p = 2*i + 8, 3*p = 5*i - 2*p for i. -2 Let o = 11 + -6. Let b(r) = -r**2 - 9*r - 3. Let y be b(-8). Solve -w + y = 4*x, o*x + 0*w - 7 = -2*w for x. 1 Let k(d) = 9*d + 2. Suppose -3*b - 2*b - 64 = -2*v, 18 = -b + 3*v. Let c be (6/5)/(b/(-30)). Let r be k(c). Solve -5*y + r = -h, -3*h - 14 = -2 for y. 5 Suppose -5*c + 0*k + 17 = k, 25 = 4*c - 3*k. Let p be (c - (-3 - -6))*3. Solve 0 = 4*a - r + 12, -p*a + 5*r - 37 = -11 for a. -2 Let q be 2/(-7) - (-290)/35. Let l(x) = -x**2 + 4*x - 5. Let v be l(4). Let h = v + q. Solve -3*z = -i + 11, h*z + 31 = -i + 6*i for z. -2 Suppose 5*p + 8 = 68. Suppose -2*o = 5*r - 22, -2*r - 2*o + 2 = -8. Solve -4*j = 4*i + p, -3*i + 0*j + r*j - 9 = 0 for i. -3 Let b(h) = h**2 + 9*h - 7. Let m be b(-10). Let z(i) = i**2 - 2*i - 2. Let n be z(m). Solve -3*p - 18 = 5*c, -3 - n = c + p for c. -3 Let o(n) = -3*n**3 - n - 1. Let f = 11 - 11. Suppose f = 2*p + 2*p + 4. Let j be o(p). Solve j = -5*l - t - 6, 5*t = l - 19 for l. -1 Suppose 3*w = -9, w = -2*t - 2*w + 1. Let i = 19 - 14. Solve 2*a + i*g + 24 = 0, 26 = -t*a - 4*g - 0*g for a. -2 Suppose 0 = -4*v + i + 51, -5*i = 6*v - 2*v - 33. Let x = v + -7. Suppose x*p - 15 = 25. Solve m - 12 = 2*m - 3*z, -m + p = 2*z for m. 0 Let a(t) = -t**2 + 12*t - 29. Let k be a(8). Solve 0 = -3*p - 2*h + 7, -5*p - 18 = -2*p - k*h for p. -1 Suppose 0 = -o + 3. Solve 5*d - 5*f = -5, -4*d + 3*d - o*f = 17 for d. -5 Let p(s) = 30*s + 1. Let j be p(1). Let l = j - 3. Let c = l - 12. Solve 2*k = 2*r + 4, 3*k + 5*r = -c - 2 for k. -1 Let g(x) = x**3 + 4*x**2 - 4*x + 3. Let d be g(-5). Let l be (1/(-2))/(d/32). Solve -4*u = 2*m + l, 6 - 2 = -2*u + m for u. -2 Let a = 32 - 23. Solve a = 3*f + 4*u - 2, 2*u - 16 = 2*f for f. -3 Let q be 7 - (2 - 0)/1. Suppose -4*n - 7 = 5. Let w be (-2)/4*(n - 17). Solve 0*o - 2*o = -4*p + 4, -q*o - w = -p for o. -2 Let y(r) = 4*r + 24. Let w be y(-5). Solve -x + 6*x = 25, -l = -w*x + 15 for l. 5 Suppose d - 16 = -3*d. Let s(a) = -a**3 + 5*a**2 - 3*a + 1. Let t be s(3). Suppose -14*n + t*n = 0. Solve 3*v + 5 + 13 = -3*l, n = d*v - 4*l + 8 for v. -4 Let n = 57 - 33. Suppose 5*s - 4*u - n = -3*u, -3*s + 8 = u. Suppose -9 = -5*t - 2*z + 5, -s*z = t + 8. Solve -c - 2*q = -5, -50 = 5*c - t*q - q for c. -5 Let m(x) = 2*x**2 - x - 1. Let c be m(-3). Suppose 4*h + 4 = c. Solve 32 = -3*s - s + h*t, 12 = 4*t for s. -5 Let j be -1 + (0 + 2 - -4). Solve -j*r = -2*d - 7, -5*d = 4*r + r - 35 for r. 3 Let y = 4 - -1. Let o = -1 + y. Suppose 0 = 4*r - 4*d - 80, 5*d = -r + 46 - 2. Solve -o*u - 40 = 4*g, g - 9 = -2*u - r for u. -5 Let u(s) = s**2 - 5*s + 1. Let q be u(6). Suppose 9 + q = 4*w. Solve g + 3*b = -4, 22 = -w*g + b + 6 for g. -4 Suppose 0 = r - 6 + 2. Suppose -7*q + 2*q - 1 = -r*o, -3*q = o - 13. Solve 3*z - 10 = o*f - 1, -2*z = -6 for f. 0 Let t = -3 + 26. Suppose -8 = 5*j + 2. Let z be (j/4 + 0)*0. Solve z*k + 3*o + 19 = 2*k, -5*o = k + t for k. 2 Let f(s) = 13*s**2 - s. Let q be f(1). Solve -3*u = -4*a - 0*u - 14, 4*a + q = 2*u for a. -2 Let f = -36 - -42. Solve -8 = q + m, 2*q + q - f = 3*m for q. -3 Suppose 20*t = 21*t + 12. Let u = -9 - t. Solve -4*b = -4*i + 12, i + 1 = u*b + 4 for i. 3 Suppose 0*m + 9 = -3*m, -3*u - 3*m = 51. Let z = u + 8. Let t = z - -10. Solve n + 0*p - t*p = -10, 5*n = -2*p - 6 for n. -2 Let t(a) = 2*a + 23. Let i be t(-6). Solve -4*h - 14 = -2*s - 0*s, -2*s - i = h for s. -3 Let y = -6 + 10. Let n be -2*(9/6 - 2). Let l = y + n. Solve 0 = p + 2*q + 13, 2*p + 3*p = 2*q - l for p. -3 Let d be (18/12)/((-6)/(-64)). Suppose 60 = 3*s - 0*s. Suppose -4*l = -4*t + d, -2*t - 4*l = l + s. Solve t = 2*k + o + 6, 15 + 3 = -5*k - 4*o for k. -2 Suppose 4*n = -4*w + 4, 0*w = 5*n - 4*w - 50. Let v = 0 - -3. Suppose -2*z + v = -z. Solve n = 2*r - 2*y, -2*y = -z*r + 2*r + 4 for r. 2 Let l(u) = -u**3 + 4*u**2 - u + 2. Let q be l(2). Let z(y) = y**3 - 7*y**2 - 7*y - 5. Let x be z(q). Solve -x*n = 3*d + 12, -6 + 2 = n - 2*d for n. -4 Let b(j) = j - 4. Let d be b(5). Let z(n) = 4*n**2 - 1. Let c be z(d). Suppose -s + c = 1. Solve -4*g - 28 = -s*v, -v = -3*v + 8 for g. -5 Suppose -2*l = -2, m - 4*m = 3*l - 9. Solve -5*k + 4*o = 16, m*k - 3*o + 9 = -k for k. -4 Suppose -37 = -3*c - 2*p + 10, -2*c = p - 33. Let o(z) = z**2 + z + 6. Let g be o(-3). Suppose 0 = -2*r + g - 4. Solve 0 = -r*k + 3*j + c, 2*k = 7*k + j for k. 1 Let s(l) = 2*l + 29. Let i be s(-12). Solve -4*b = x + 3, 4*x - 3*b - 3 = i*x for x. -3 Let k(q) = -q**2 - 9*q + 17. Let r be k(-8). Solve 6*t - 2*t = -16, -4*t - r = 3*h for h. -3 Let z be 3/(-4) + 243/4. Suppose k = -3*k + z. Suppose 5*r - 2*r + 15 = 5*c, 10 =
{ "pile_set_name": "DM Mathematics" }
iven that 4*z**4 - 680*z**3 - 38044*z**2 - 141040*z = 0. -41, -4, 0, 215 Find a such that -3*a**2 - 2570562*a + 2570565 = 0. -856855, 1 Find j, given that -j**2/3 - 414527*j/3 - 414526/3 = 0. -414526, -1 Solve 2*f**3/11 - 32732*f**2/11 - 28794482*f/11 - 57458020/11 = 0. -835, -2, 17203 Find x, given that 2*x**4/9 + 106667470*x**3/3 - 320002414*x**2/3 + 960007246*x/9 - 35555824 = 0. -160001208, 1 Factor 5*h**2 + 45842195*h - 45842200. 5*(h - 1)*(h + 9168440) Find i such that -2*i**4/11 + 13834*i**3 - 2893169758*i**2/11 - 55012384934*i/11 - 243269175912/11 = 0. -12, -7, 38053 Determine n, given that -5*n**2 + 498200*n + 5979120 = 0. -12, 99652 Let -2*g**3/7 + 6858*g**2/7 - 102268*g/7 - 518928/7 = 0. What is g? -4, 19, 3414 Solve 4*o**4 + 196402*o**3 + 1669166*o**2 + 1865468*o - 1374576 = 0 for o. -49092, -7, -2, 1/2 What is l in -2*l**2/11 + 1280*l/11 + 104098/11 = 0? -73, 713 Determine u, given that -6*u**2 - 16046037*u/2 + 20057565/2 = 0. -1337171, 5/4 What is g in 5*g**2 + 726240*g - 726245 = 0? -145249, 1 Determine b so that 33*b**5 - 6498*b**4 + 163776*b**3 + 176838*b**2 - 163809*b - 170340 = 0. -1, 1, 340/11, 167 Solve 2*a**5/15 - 86*a**4/15 - 116*a**3/5 + 1032*a**2/5 + 3312*a/5 = 0. -6, -3, 0, 6, 46 Factor 2*q**2/3 + 28598*q/3 + 21827512. 2*(q + 2863)*(q + 11436)/3 Solve 2*t**4 - 2852*t**3 - 158910*t**2 - 1374200*t - 3256000 = 0 for t. -44, -5, 1480 Find t such that 2*t**5/21 + 698*t**4/21 + 6602*t**3/21 - 20254*t**2/7 - 6780*t = 0. -339, -15, -2, 0, 7 Factor 1872*y**3 + 52441*y**2 - 111620*y - 1500. (y - 2)*(y + 30)*(1872*y + 25) Solve -2*z**4/21 - 3832*z**3/21 - 1525054*z**2/21 + 3832*z/21 + 508352/7 = 0 for z. -1352, -564, -1, 1 What is y in 3*y**2/4 - 36835251*y/4 + 9208812 = 0? 1, 12278416 Find x such that -x**4/6 - 341*x**3/6 - 1177*x**2/3 - 2678*x/3 - 668 = 0. -334, -3, -2 Factor q**3/4 + 733*q**2/4 + 18551*q/4 + 119483/4. (q + 13)**2*(q + 707)/4 Factor j**3/2 + 829*j**2/2 + 106692*j + 8760168. (j + 204)**2*(j + 421)/2 Determine g, given that 1968*g**5/5 + 2300068*g**4/5 + 675173068*g**3/5 + 365355844*g**2 - 531558412*g/5 + 8157336/5 = 0. -583, -3, 2/123, 1/4 Factor 2*u**3/5 - 30646*u**2/5 + 1057398*u - 229325562/5. 2*(u - 15149)*(u - 87)**2/5 Factor -182210*n**2 - 1015086*n + 468. -2*(7*n + 39)*(13015*n - 6) Factor d**2 - 126056256*d + 3972544919184384. (d - 63028128)**2 Factor -2*x**2 + 62923814*x + 62923816. -2*(x - 31461908)*(x + 1) Let -3*i**2 + 126804*i - 33141945 = 0. What is i? 263, 42005 Suppose -4*y**3 + 132312*y**2 + 20071540*y - 40672296 = 0. Calculate y. -153, 2, 33229 Find o, given that -1410*o**5 + 6395*o**4 - 10325*o**3 + 6705*o**2 - 965*o - 400 = 0. -1/6, 1, 80/47 Determine w so that -w**2/3 - 262330748*w/3 - 17204355336559876/3 = 0. -131165374 Factor i**2/5 + 1750371*i/5 + 5251104/5. (i + 3)*(i + 1750368)/5 Factor -f**3/5 + 68386*f**2/5 + 4805395*f + 421008000. -(f - 68736)*(f + 175)**2/5 Factor 5*j**3 + 2865*j**2 - 304565*j + 887775. 5*(j - 89)*(j - 3)*(j + 665) Factor 4*p**3 - 4920*p**2 - 24724*p + 29640. 4*(p - 1235)*(p - 1)*(p + 6) Find z, given that 3*z**5 + 1095*z**4 - 251397*z**3 - 760731*z**2 - 762906*z - 254664 = 0. -524, -1, 162 Let -2*y**2/11 - 2812892*y - 10879496930038 = 0. Calculate y. -7735453 Find z, given that 2*z**3 - 6882*z**2 + 6880*z = 0. 0, 1, 3440 Let 17108*i**4 + 239532*i**3/7 - 478984*i**2/7 - 958128*i/7 - 160/7 = 0. Calculate i. -2, -5/29939, 2 Factor -3725*f**2/2 + 1861*f + 3/2. -(f - 1)*(3725*f + 3)/2 Suppose 39*l**2 - 359856*l + 1438800 = 0. What is l? 4, 119900/13 Solve -5*b**4 - 8215*b**3 + 303020*b**2 + 1343200*b = 0 for b. -1679, -4, 0, 40 Let 2*b**3/21 - 4848*b**2/7 - 10626498*b/7 - 736273188 = 0. Calculate b. -921, 9114 Let 6*t**5 + 1155*t**4 - 163590*t**3 - 1516755*t**2 + 7572744*t + 4145040 = 0. Calculate t. -285, -12, -1/2, 4, 101 Factor -x**2/6 + 231179*x/6. -x*(x - 231179)/6 Determine q, given that -20*q**3 + 564945*q**2 - 706155*q + 141230 = 0. 1/4, 1, 28246 Solve k**4 - 659233*k**3 - 33622617*k**2 - 571594315*k - 3239062292 = 0. -17, 659284 Determine j so that j**4/2 - 780208*j**3 + 304361481423*j**2 + 608725303472*j + 608726083681/2 = 0. -1, 780209 Solve -6081751875*y**2/8 + 2566425*y/2 - 1083/2 = 0. 38/45025 Suppose 15*p**3/2 - 26013*p**2/2 - 23439*p + 5208 = 0. Calculate p. -2, 1/5, 1736 Suppose -42*l**5 - 2501841*l**4/4 - 2333544963*l**3 - 37009252641*l**2 - 145387491792*l + 13277722560 = 0. What is l? -7438, -8, 5/56 Suppose s**2/2 - 371701*s/2 - 3345471 = 0. Calculate s. -18, 371719 Determine r, given that -r**3/6 - 19*r**2 + 20707*r/6 - 13490 = 0. -213, 4, 95 What is x in -4*x**3 + 109984*x**2 + 90596012*x + 18385998072 = 0? -403, 28302 Factor h**3 + 160785*h**2 + 803904*h + 643120. (h + 1)*(h + 4)*(h + 160780) Factor -18*a**2 + 2422695903*a + 403782651. -3*(a - 134594217)*(6*a + 1) Factor 5*f**3/3 + 547915*f**2/3 - 4384040*f + 26305680. 5*(f - 12)**2*(f + 109607)/3 Find f such that 9*f**5 - 3327*f**4 - 28413*f**3 + 22875*f**2 + 355572*f - 238140 = 0. -7, -5, 2/3, 3, 378 Suppose 3*h**3 - 127635*h**2 - 638292*h + 1787100 = 0. Calculate h. -7, 2, 42550 Solve 128*g**5 - 100768*g**4 + 24818*g**3 + 288412*g**2 - 291290*g + 78700 = 0 for g. -2, 5/8, 1, 787 Suppose -4*p**4 + 6473832*p**3 - 2619438666724*p**2 + 26193901131840*p - 65484348217600 = 0. Calculate p. 5, 809224 Factor 3*j**2 + 100947*j + 13773432. 3*(j + 137)*(j + 33512) Factor -6880129*c**3/5 + 364652083*c**2/5 - 278039*c/5 + 53/5. -(c - 53)*(2623*c - 1)**2/5 Find g such that 2*g**2/15 - 2794738*g/15 = 0. 0, 1397369 Factor 5*o**2 - 1833605*o + 1833600. 5*(o - 366720)*(o - 1) Factor -4*f**2 + 831264*f - 11636912. -4*(f - 207802)*(f - 14) Let -2*w**4/3 - 1138808*w**3 - 648440691620*w**2 - 369221481347237800*w/3 + 369227317344210250 = 0. Calculate w. -569405, 3 Let -2*b**5/7 - 7036*b**4/7 - 2183022*b**3/7 + 2190060*b**2/7 = 0. Calculate b. -3174, -345, 0, 1 Solve x**4/6 + 638*x**3/3 + 129359*x**2/2 - 389993*x/3 + 195316/3 = 0 for x. -772, -506, 1 Solve -2*y**2/5 + 2436*y - 13965712/5 = 0 for y. 1532, 4558 Solve -33*v**4 - 990516*v**3 - 7431571314*v**2 + 17569715508*v - 10137153645 = 0. -15009, 1, 15/11 Determine j, given that 3*j**4 + 5265330*j**3 + 2310308334075*j**2 = 0. -877555, 0 Find u, given that -4*u**4 + 1192*u**3 - 94964*u**2 + 1081040*u - 2880000 = 0. 4, 9, 125, 160 Determine p so that -4*p**5 - 1004008*p**4 - 62907519704*p**3 + 11862507031600*p**2 + 23913732606300*p + 11988319059000 = 0. -125595, -1, 190 Find x, given that x**3/5 + 627608*x**2/5 - 80346112*x/5 + 2571206656/5 = 0. -627736, 64 What is a in -6*a**2 - 10625623*a - 1770937 = 0? -1770937, -1/6 Find m such that 578*m**5/11 + 672418*m**4/11 - 25932836*m**3/11 + 241382684*m**2/11 + 87631458*m/11 + 7804098/11 = 0. -1201, -3/17, 19 Factor 3*d**2/2 - 14177010*d + 198477993/2. 3*(d - 9451333)*(d - 7)/2 Factor -3*s**2 + 35202*s - 1961904. -3*(s - 11678)*(s - 56) Determine z, given that 5*z**3 + 172440*z**2 + 1486950105*z + 2973210490 = 0. -17243, -2 Suppose -c**3 - 15343*c**2/3 - 173390*c/3 + 190512 = 0. What is c? -5103, -14, 8/3 Find p, given that 2*p**5 - 1204*p**4 + 236204*p**3 - 14836744*p**2 - 30386926*p - 15312772 = 0. -1, 146, 229 Suppose 5*w**4 - 570835*w**3 + 1712470*w**2 - 1141640*w = 0. Calculate w. 0, 1, 2, 114164 Determine q so that q**5/4 - 1622*q**4 + 10752835*q**3/4 - 184631705*q**2 - 979748864*q - 792427328 = 0. -4, -1, 77, 3208 Factor -452*d**2 - 81129464*d + 2871840. -4*(d + 179490)*(113*d - 4) Find u, given that -2*u**4/3 + 1225052*u**3/3 + 6125296*u**2/3 + 2858476*u + 1225062 = 0. -3, -1, 612531 What is u in u**5/2 - 1589*u**4/2 + 75717*u**3/2 - 395731*u**2/2 - 37859*u + 198660 = 0? -1, 1, 6, 43, 1540 Suppose -h**4/10 + 24059*h**3/10 + 19252*h**2 + 192536*h/5 = 0. What is h? -4, 0, 24067 Determine a, given that -4*a**2/3 + 3340*a - 5935136/3 = 0. 961, 1544 Suppose 2*d**5 - 65670*d**4 + 328316*d**3 - 525288*d**2 + 262640*d = 0. Calculate d. 0, 1, 2, 32830 Factor -3630*g**2 - 412148*g - 175481378/15. -2*(165*g + 9367)**2/15 Solve h**3 - 230080*h**2 + 13235351925*h - 132330512250 = 0 for h. 10, 115035 Suppose -4*q**2 + 1324*q = 0. Calculate q. 0, 331 Let 71*b**2 - 76250381*b + 2147898 = 0. Calculate b. 2/71, 1073949 Find b, given that 3*b**2/7 + 5015271*b/7 - 15046002 = 0. -1671778, 21 What is y in 2247*y**5/5 - 1093527*y**4 +
{ "pile_set_name": "DM Mathematics" }