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o. Is d a prime number? True Let r = 12 + -16. Let n(a) = -8*a**3 + 1. Let f be n(-1). Let p = f - r. Is p prime? True Suppose 5*a + 46 = -4*j, 2*a = 7*a - j + 51. Let t = -15 - a. Let z(w) = 12*w**2 - 2*w - 3. Is z(t) a prime number? True Let s(u) = -u**3 + u**2 + u + 33. Let z = 14 - 9. Suppose -b - 4*x + 0*x = 0, 4*b = z*x. Is s(b) composite? True Is -1 + 0 - (-675 - 3) composite? False Suppose 2*v + 12 = -24. Is (-266)/(-18) + (-4)/v a prime number? False Let n be (2 - (2 + 0)) + 4. Suppose 0 = -n*h + 2*h + 8. Suppose 2*w - 171 = -h*l + 75, 0 = 4*l + 5*w - 261. Is l a composite number? False Let r(j) = j**3 + 9*j**2 - j + 13. Is r(-6) a composite number? False Let x = 0 - 6. Let j(w) = 6*w**2 + 3*w - 3. Let u be j(x). Is u + -3 + 1/(-1) composite? False Let o = 474 + -143. Is o composite? False Let b be (-63 + 6)*(-1 + 0). Suppose 5*w + 22 = b. Suppose 5 = 3*u - w. Is u a prime number? False Suppose 0 = -2*o + d + 8, -2*o - 5*d = -0*o + 16. Suppose b + 3*g = 7*g - 4, -o*b + 5 = 5*g. Suppose b - 24 = -4*i. Is i composite? True Let b = 1198 + -529. Suppose -2*d = 139 - b. Is d a prime number? False Suppose -2*y = o, o - y = 6 - 3. Suppose -5*w + 155 = o*r, 30 = 2*r + w - 105. Is r a prime number? False Let g = 78 + -42. Is ((-477)/g)/((-1)/4) composite? False Suppose -4 = 5*h - 29. Let d = -5 + h. Suppose d = 2*w + f + 4*f - 162, -253 = -3*w - 5*f. Is w a prime number? False Suppose 0 = 2*x - 8 - 12. Let g(h) = 2 - h**2 + 5 + 14*h + 2. Is g(x) prime? False Let w(m) = -3*m + 45. Let c be w(13). Let g(h) be the third derivative of 2*h**5/15 - h**4/3 - 5*h**3/6 + h**2. Is g(c) composite? True Suppose 69 = 2*g - 79. Is g composite? True Suppose -g + 6 = -0. Suppose g*i - 223 = 1055. Is i a prime number? False Let q(c) = -2*c - 2*c**2 + 0*c**2 - 2*c + 3*c**3 + 6*c**2 + 3. Is q(2) composite? True Let m = -94 - -239. Is m a composite number? True Let s(w) = -15*w**3 - 8*w**2 - 6*w - 5. Let a(y) = 30*y**3 + 15*y**2 + 11*y + 9. Let x(f) = 6*a(f) + 11*s(f). Is x(2) composite? False Suppose -g = 3*g + 1356. Is -2*(g/6 - 0) composite? False Let y(l) = 2*l**3 - 7*l**2 - 6*l - 7. Let n = -10 + 18. Is y(n) composite? False Is (-4 - -4) + -134*(-1)/2 prime? True Is 2*-1 - 26*26/(-4) a composite number? False Is 4/3*(-35718)/(-8) prime? True Suppose g + 4*g = w - 39, 0 = -2*g - 3*w - 19. Let h = 27 + g. Is h a prime number? True Let w = 4 + 14. Let l = -7 + w. Is l a composite number? False Let h(k) = -2*k**3 - 14*k**2 - 15*k - 5. Let w(a) = -7*a**2 - 8*a - 4*a**3 + 0*a**3 + 3*a**3 - 3. Let o(r) = -3*h(r) + 5*w(r). Is o(-5) prime? False Suppose -t = t - 814. Is t prime? False Let q = 18 - -17. Is q a prime number? False Let h(s) = s**3 - 4*s**2 + 3*s + 7. Suppose 2*w - 3*g = 16, w + 6 - 1 = -5*g. Is h(w) prime? True Let o be 1/4*-2*0. Suppose o = -t + 2. Suppose -5*u - 3*j = 2*j - 75, -t*j = -2*u + 26. Is u prime? False Let b = -63 + 434. Is b a composite number? True Suppose 5*p + 10 = -3*k - 4, -4 = 4*k + 3*p. Suppose -4*i = 5*r - 1467, -k*r - 91 = -5*i + 1784. Is i a prime number? True Suppose -3*p = 3*l + 2*p - 113, 2*p - 160 = -4*l. Let z = l + -19. Is z a prime number? False Suppose -21 = -c + 14. Is c a composite number? True Let y(c) = -10*c**3 + 20*c**2 - 2*c - 14. Let b(s) = -7*s**3 + 13*s**2 - s - 9. Let r(a) = -7*b(a) + 5*y(a). Is r(8) a composite number? True Suppose -a = -2*f + 7, -2*f + 11 = 1. Suppose -a*h + 17 = 2*p, -4*h - 2 = -3*p + 15. Is p a prime number? True Is (3/(-6))/((-1)/586) a composite number? False Suppose -2*q - 3*q - 17943 = 3*j, 5*j + 5 = 0. Is (q/36)/((-1)/3) prime? False Let r(b) = b**3 + b**2 - 2*b + 89. Is r(0) prime? True Let f = 4 + -4. Suppose 0 = -3*k - f*k - 12. Is (-138)/(-9)*(-42)/k a prime number? False Let y(k) = -3*k**2 + 8*k + 9. Let u(w) = 2*w**2 - 9*w - 9. Let s(m) = 4*u(m) + 3*y(m). Suppose p = -6 - 4. Is s(p) prime? True Let p(n) = 48*n - 1. Let d be -2*(-1)/4*2. Suppose d - 6 = -5*t. Is p(t) prime? True Let r(v) = -v**3 + 3*v**2 + v + 134. Is r(0) prime? False Suppose -2*q + 45 + 89 = 0. Is q a prime number? True Suppose -j + 3*z = -0*j + 3, -j - 2 = -2*z. Suppose 0 = 2*m - 4, -2*k - 10 = -j*m - 4*m. Is k + (-6)/3 + 334 a prime number? True Suppose -2*p - 2*p + 36 = 5*z, -5*p = -20. Is (z/(-8))/((-2)/84) a prime number? False Let q(b) = 3*b**2 + 6*b - 6. Is q(9) composite? True Let g = -2291 + 3690. Is g a composite number? False Suppose 0 = -0*g - 5*g - 20. Is g + 29 + 1 + -3 a prime number? True Let n be (0 - 8)*1/(-2). Suppose 0 = n*p - 0*p, 3*s = 2*p + 12. Is (46/s)/(3/6) a composite number? False Let t = 2114 - 1425. Is t composite? True Let x be (0 + -1)*(-48)/8. Is x/(-3)*(-93)/6 a prime number? True Let r(s) = -94*s**3 + s**2 + 4*s - 42*s**3 + 34*s**3 - 3*s. Let y be r(-1). Suppose -y + 697 = 5*p. Is p a composite number? True Suppose 3*k = -3*t + 471, 5*t + k - 757 = 3*k. Let b = 344 - t. Is b a prime number? True Let v(y) = -y**2 - 3*y + 4. Let f be v(-3). Suppose l - 705 = -f*l. Suppose 5*s + 31 - l = 0. Is s a composite number? True Suppose 0 = 2*h + h - 4*b - 20, 2*b = -10. Let q(m) = -4 + 3*m - 16*m + h*m + 3. Is q(-4) composite? True Let v = -1777 - -3762. Is v a prime number? False Let n be (2 - 1) + 1 - -353. Let h = n - -218. Is h prime? False Let f be 3/12 - 7/(-4). Suppose 3*x + 0*n - 14 = -n, 5*x - f*n = 5. Is x composite? False Let p(h) = 65*h - 43. Is p(16) a prime number? True Suppose 0*c - 8 = -4*c. Suppose -c*v + 291 = v. Is v prime? True Suppose -3*z = 4*u - 1061, -2*u + 3*z = z - 548. Is u a prime number? True Let c = -7 - -4. Is (2/c)/(8/(-36)) composite? False Is (-4245)/(-21) - 2/14 a prime number? False Let l = -1747 - -2450. Is l composite? True Let x be (-3)/(-2 + (1 - 0)). Suppose 4*g - 64 = 6*m - x*m, -75 = -5*g + 5*m. Is g composite? False Suppose 0 = 10*l - 15937 - 34933. Is l a composite number? False Let y = 331 - -465. Is y/8*(-4)/(-2) prime? True Let v(g) = -132*g + 4. Suppose -4 = -4*w + 12. Let b be v(w). Is (-6)/(-21) + b/(-28) a prime number? True Let s be 0/(2/(3 + -5)). Suppose -5*g - 3*d + 12 = s, -2*g - 2*g + 3*d = 12. Suppose 3*z - 2*z - 37 = g. Is z a composite number? False Suppose 4*g + y = 21, 0 = -0*g + 2*g - y - 9. Suppose -g*w + 0*v - v - 13 = 0, -w + 3*v - 9 = 0. Is 32*(2 + 2) - w a composite number? False Let s = -2 - 0. Let r be 1/(1/s) + 4. Suppose -2*u = r*n - u - 226, 4*u = 5*n - 539. Is n prime? False Suppose 0 = -45*b + 42*b + 8115. Is b composite? True Let k = 107 + 48. Is k prime? False Suppose 0 = 3*a - 2*d - 889, 2*a = d + 2*d + 601. Is a prime? True Let s = 7 + -3. Let y be (-1 - 1)/(s/(-322)). Is 1 + (-1 - 0) + y a prime number? False Let a(v) = 5*v**2 - 8*v - 2. Is a(9) composite? False Let i = -3 + 1. Is (-642)/(-12) - (-1)/i a prime number? True Let w(j) = 22*j**3 - j**2 + 2*j + 1. Let k be w(-2). Let q = k + 260. Is q composite? True Let z(q) = q + 6. Let r be z(6). Let x = r - 6. Suppose 5*d - 93 = -3*v, 4*v + x + 52 = 2*d. Is d composite? True Suppose 2*u - 5*u + 504 = 0. Let i = -103 + u. Is i a prime number? False Let q be ((-8)/(-6))/(-4)*0. Suppose -3*x + o = 3*o - 111, 2*o = q. Is x a composite number? False Let r = -7 - -7. Suppose -3*j + a = -396, r*j - 4*a = -4*j + 520. Let c = -95 + j. Is c composite? True Let v(d) = 6*d**3 - 3*d**2 + 3*d + 1. Let g(i) = -17*i**3 + 10*i**2 - 9*i - 4. Let z(c) = -4*g(c) - 11*v(c). Is z(5) prime? False Let l = 372 + 298. Suppose 0*a = -2*a + l. Is a a prime number? False Is (-72)/(-1) - 6/2 prime? False Let r(n) = -n**3 + n + 31. Let t be ((3 - 3)/1)/2. Is r(t) prime? True Let o(a) = -11*a**2 + 6*a + 8. Let k be o(6). Let y = -21 - k. Is y composite? False Is (41/3)/(2/246) prime? False Let f be ((-30)/(-25))/((-2)/(-7165)). Suppose -1394 + f = 5*w. Is w a composite number? True Suppose -3*i = 2*i - 10. Let c(n) = 169*n. Let j be c(1). Suppose 4*f + i*o = 196, -f - 2*f + 4*o = -j. Is f a prime number? False Let n be (-2)/(-3) + 364/(-6). Let g = n + 17. Is 3/(-9) + g/(-3) a prime number? False Let i = -6 + 4. Let s(b) = -3*b**3 - b**2 - b + 1. Let t be s(i). Let k = t - 16. Is k composite? False Let n(s) = 160*s**3 + 3*s - 2. Let p(l) = l**2 - 5*l + 5. Let i be p(4). Is n(i) prime? False Let f be (2/2)/((-2)/8). Let y be ((-117)/(-6))/(2/f). Let d = y + 74. Is d prime? False Let k =
{ "pile_set_name": "DM Mathematics" }
*j**4 + 2*j**4 - 2*j**4 in the form x*j**4 + b*j**2 + w*j + h*j**3 + s and give x. 5 Rearrange -4*b**2 - 26*b**2 + 2*b + 2 - 2*b to v + t*b**2 + d*b and give v. 2 Express 5*d + 4*d**2 - 7*d - 2 - 2*d**3 + 6*d in the form y*d**2 + p + n*d + v*d**3 and give v. -2 Express (-2 + 2 - 2*n)*(2 - 6 + 3) - n + 2*n - 2*n - 49*n + 52*n + 19*n as c*n + d and give c. 23 Rearrange w - 2*w**4 + 2*w**2 + 3*w**4 - 4*w**4 to the form j*w + h*w**4 + u + f*w**2 + x*w**3 and give j. 1 Rearrange -10*k - 7*k + 47*k - 4*k to y*k + n and give y. 26 Rearrange -1 - 42*m**2 + 58*m**2 + 1 to d*m**2 + y + a*m and give d. 16 Rearrange 39*g - 19*g - 19*g + 11 to q*g + k and give k. 11 Rearrange (1 + 3 - 5)*(-i**2 + 4*i**2 - 4*i**2 + (i**2 - 3*i**2 + 0*i**2)*(-1 - 1 + 4)) to the form u + y*i + n*i**2 and give n. 5 Rearrange (-2*l**3 + l**3 + 3*l**3)*(1 + 2 - 1)*(-25 + 58 + 11) to the form t + r*l + k*l**3 + o*l**2 and give k. 176 Express -4*s + 7*s + 0 + 0 as i + t*s and give t. 3 Rearrange (-2 + 5 - 1)*(-1 + 1 + 1)*(3*o + 5*o + 0*o) to the form t*o + f and give t. 16 Rearrange (3*x**2 - 3*x**2 - x**2)*(11 - 31 - 27)*(x - x - x) to g + w*x**3 + v*x + h*x**2 and give g. 0 Express 16*s - 5 - 1 + 6 in the form l*s + a and give l. 16 Rearrange (0 - 2 + 0)*(12 + 5*x - 19 + 5)*(-3 + 3 - x**2) to the form i + m*x**2 + f*x + r*x**3 and give m. -4 Rearrange 9*p - 20*p - 2 + 11*p + 4*p**2 - 2*p**4 to h*p + i*p**4 + x*p**3 + k*p**2 + a and give a. -2 Express (-2 + 0 + 3)*(5*z + 0*z - 3*z) - 3*z - 2 + 6*z - 6*z as r + l*z and give r. -2 Express 24*m + 35*m - 54*m + 3 as k + w*m and give k. 3 Rearrange ((0 + 6 - 2)*(-3 - 2*a + 3) + 3*a + 1 - 3*a + 2*a)*(-12*a + 18 - 18) to the form v + l*a**2 + c*a and give c. -12 Rearrange (2 + 3 + 1)*((2*c**2 - 3*c**2 - c**2)*(c - 5*c + 2*c) + 2*c**3 + 0*c**2 + 0*c**2) to the form b*c**2 + a*c + j*c**3 + x and give j. 36 Express -271*r**2 + 4*r - 6*r + 1 + 3*r**3 + 271*r**2 in the form b*r + t*r**2 + m*r**3 + l and give m. 3 Rearrange -v + 0*v**2 - 13*v**2 - 5*v**2 to w*v**2 + f + r*v and give w. -18 Rearrange -107*b + 118*b + 2 - 1 to l + z*b and give l. 1 Rearrange -4*k**2 + 6*k**2 - 6*k**3 + 5*k**3 + 2 to the form w*k**2 + r*k + z*k**3 + n and give n. 2 Express -16*a + 14*a + 2*a**3 - 3 + 2*a**3 in the form i*a + p + z*a**3 + c*a**2 and give i. -2 Express (14 + 20 - 2 - 1)*(4 - 4 + x) in the form z + n*x and give n. 31 Express 0*f + 3*f + 0*f - 3 + 0 + 4 + f + 7*f - f + f + (3 + 1 - 6)*(f + 1 - 1) as h + m*f and give h. 1 Rearrange 23 - 2*p - 54 - 12 to l + k*p and give l. -43 Rearrange 1 - 3*k**4 + 4*k - 4*k + 3*k**3 + 7*k**4 to d*k + a*k**2 + b*k**4 + j + c*k**3 and give b. 4 Rearrange -1 + l**3 + 4 - 4 + 2*l - l**4 to u*l**3 + q*l**4 + k*l + a + s*l**2 and give a. -1 Rearrange 4*l - l + 3*l + 9*l to p*l + x and give p. 15 Rearrange (3 + 0 - 1)*(-2*y**2 - 3*y**2 + y**2) - y**2 - 2*y**2 + 2*y**2 + (-2 + 3 + 1)*(-y**2 + 0 + 0) to z + h*y + w*y**2 and give w. -11 Express (4*d + 0*d + 3*d)*(d**3 + 0 + 0) as l + k*d**2 + m*d + h*d**3 + o*d**4 and give o. 7 Express (l - l + l**2)*(l**2 + l**2 - 4*l**2) + (0 + 1 + 3)*(l + 0*l + l)*(5*l**3 - 4*l**2 + 4*l**2) in the form w + n*l**3 + p*l**4 + z*l**2 + s*l and give p. 38 Rearrange -p**3 - 2*p**2 + 2*p**4 + 2*p**2 + (-2*p + 0*p - p)*(-p**3 - 7*p**3 - 3*p**3) to u + a*p**2 + m*p**3 + i*p + f*p**4 and give m. -1 Express -6*t**2 + 3*t**2 + 6 + 6*t**2 - 6*t**2 as u*t**2 + a*t + j and give j. 6 Rearrange -3*z**3 + 2*z + 11 + 0*z**3 + 4*z**3 to x*z**3 + a*z**2 + u*z + q and give u. 2 Rearrange (2*j**2 + j**2 - 4*j**2)*(14*j**2 + 20 - 20) - 1 + j**4 + 1 to x + t*j**3 + i*j**2 + h*j**4 + d*j and give h. -13 Rearrange -2 - 2*v**4 + 4*v**3 - 2*v**2 + v**2 + 12*v**3 - 14*v**3 + v to c*v**4 + x*v**3 + b*v + q + j*v**2 and give b. 1 Express -2*d**4 - 2*d**2 + 2*d**3 + 4 - 3 + 0*d**3 - 4 as q + z*d**2 + f*d**4 + k*d + u*d**3 and give f. -2 Express (519 + 3*j**2 - 519 - j)*(-j + j + 2*j + (-2 - 1 + 4)*(-2*j + 0*j + 4*j)) as m*j**2 + h*j**3 + x + q*j and give m. -4 Express 14*c - 3 - 2*c**2 - 5*c - 9*c - c**3 in the form f*c**2 + a*c + w*c**3 + l and give f. -2 Express (-10*g**2 - 20*g**2 + 10*g**2 - 2*g + 3)*(-2 + 2 - g**2) + 4*g + 2*g**4 - 4*g in the form p*g + c*g**4 + o*g**3 + y + u*g**2 and give u. -3 Express (2*p + 0 + 0)*(-5*p**3 + 4*p**3 + 0*p**3) + 5*p**2 - 5*p**2 - 6*p**4 - p**4 + 2*p**4 - 3*p**4 in the form d*p + k*p**4 + t*p**3 + b + j*p**2 and give k. -10 Express 3*w**4 + 4*w + 2*w**2 - 2*w - 3*w**2 - 2*w**3 - w in the form d*w + f + a*w**4 + r*w**3 + p*w**2 and give p. -1 Express 13 + k**3 - 2*k + 0*k**4 - 26 + k**4 + 3*k**2 + 15 as p*k**3 + b*k**4 + s*k + g*k**2 + z and give z. 2 Express (0*d - 2*d - d)*(-13*d**3 + 2*d - 2*d) in the form v*d**3 + w*d**2 + u + i*d + j*d**4 and give j. 39 Express 9 + 16 - 2*p**2 + 5 + 4*p**2 as g + l*p + f*p**2 and give f. 2 Express -34*g + 19*g + 4*g**2 + 19*g in the form q*g**2 + z + m*g and give m. 4 Express -9*c**2 - c**3 - 2 + c**4 + 10*c**2 + 2*c**2 - c as j*c + u*c**3 + p + x*c**2 + a*c**4 and give j. -1 Express 3*k**2 + 3 + 6*k**2 - 1 as s*k + v*k**2 + m and give v. 9 Express b - 81*b**2 + 156*b**2 - 77*b**2 + (b - b + b**2)*(3 + 0 - 5) + b**2 - 2*b**2 + 2*b**2 + 3*b**2 - 3*b**2 - b**2 as r*b**2 + m*b + c and give r. -4 Rearrange -5 + 6 - 26*i**2 - 2*i - 1 to the form m*i**2 + l + c*i and give c. -2 Rearrange 4 + k**4 - 4 + 3*k**4 + 4*k**2 - 4*k**2 + (3 + k**2 - 3)*(-2 + 2*k**2 + 2) + 2*k**4 + 0*k**4 - k**4 to r*k**3 + m + s*k + p*k**2 + g*k**4 and give g. 7 Rearrange 2*z**3 + 1003 + z**2 + z - 1003 - 2*z**4 to q + i*z**4 + t*z + x*z**2 + c*z**3 and give t. 1 Express 2*y**3 + 6*y**3 + y**2 - 3*y**3 in the form f*y**2 + b + s*y + g*y**3 and give g. 5 Express (1 - 5 - 7)*(u + 0*u - 2*u)*(-4*u - 3 + 3) as c*u + f*u**2 + y and give f. -44 Express (-w - 2*w + w)*(-2 + 3 + 1) in the form f + a*w and give a. -4 Rearrange (8*p - 3*p - p)*(38 - 21 + 1 + 170) to the form m*p + d and give m. 752 Rearrange ((-1 - 3 + 3)*(2*v - 4*v + 0*v) - 3*v - v + 6*v)*(1 + 4*v + 20*v - 4*v) to r*v + o + q*v**2 and give q. 80 Express (u**2 + 3*u**3 - u**2)*(u - 6*u + 2*u - 9) in the form o + j*u**2 + y*u + n*u**3 + s*u**4 and give n. -27 Express (-2*t**3 + t**3 + 0*t**3)*(3*t - 6*t + 2*t - 1) + (6 - 6 + 6*t**2)*(5*t**2 - 3*t**2 - 3*t**2) in the form s*t**2 + u*t**4 + d*t**3 + c + i*t and give u. -5 Express (w - 3*w + 0*w)*(22 + 5 - 7)*(0*w + 4*w - 3*w) as h*w**2 + a + l*w and give l. 0 Rearrange -9*s**2 - 2*s**3 + 2*s + 4*s**2 - 3*s to the form x + b*s**2 + f*s**3 + a*s and give f. -2 Rearrange -75*d - 34*d + 5*d - 2*d to m*d + w and give m. -106 Rearrange 3 - 6*x**3 - 5*x**3 - 7*x**3 to r + z*x**3 + v*x + d*x**2 and give z. -18 Rearrange b + b + 0*b + (2*b - b - 2*b)*(-1 + 2 + 0) - b + 0*b + 5*b to v*b + u and give v. 5 Rearrange 19*z - 7*z + 5*z to b*z + i and give b. 17 Rearrange 138*x**4 + 2 + 2*x**2 + 12*x**3 - 136*x**4 - 3 to r*x**3 + c*x + f*x**4 + m + d*x**2 and give d. 2 Express (-2 + 7 + 0)*(1 + 2 - 5)*(9 - 9 + 6*w)*(-2 + 0 + 3) as b + q*w and give q. -60 Rearrange (2*s + 3*s - 2*s)*(3 - s - 3) + (-5*s + 2*s - 2*s)*(1 - s - 1) to the form k*s**2 + g*s + w and give k. 2 Express (-1 + 4 - 2)*(v**2 - 2*v**2 + 0*v**2) + (0*v + v + 0*v)*(-8*v - 18*v - 2*v) in the form m + w*v**2 + z*v and give w. -29 Express 3*z - 3*z + z + 8*z in the form l + x*z and give x. 9 Express (-2*c**3 - 2*c**3 + 0*c**3)*(-3*c + 2*c - 2*c) + 2*c**4 - 2*c**4 + 2*c**4 as i*c**4 + n + h*c**3 + w*c**2 + y*c and give i. 14 Express 3 - 4*f**4 - 2 + 18*f**3 + 2*f + 2*f**4 - 19*f**3 in the form v + c*f + n*f**3 + y*f**4 + b*f**2 and give n. -1 Rearrange 20*g - g - 9*g + (3*g + g - 2*g)*(5 - 1 - 2) to the form c + o*g and give o. 14 Rearrange (-4*h + 8*h + 0*h + 4*h - 3*h - 3*h + (1 + 4 - 3)*(h + h + 0*h) - 1 + 1 + 2*h)*(h + 2*h**2 - h) to i*h**3 + f*h**2 + s + v*h and give i. 16 Express (97*r + 0 - 4 - 107*r)*(-2 + 1 + 0)*(2 + 1 - 2) in the form b*r + t and give b. 10 Rearrange (-w + 2 - 2)*(6*w**2 - 6*w**2 - 4*w**3) + (5*w + 0*w - 4*w)*(w**3 - w**3 + 2*w**3) to the form l + k*w**3 + s*w**2 + p*w + v*w**4 and give v. 6 Rearrange -2 + 0 - 5 - 3*z**3 - 10 to y*z**2 + i*z**3 + q*z + x and give i. -3 Express (2 - 3 + 0)*(12 - 12 - 3*i)*(-3*i**2 - 1 + 1) in the form k*i**2 + c + g*i**3 + f*i and give g. -9 Rearrange -l**4 -
{ "pile_set_name": "DM Mathematics" }
18. What is n(w)? 22 Let y(j) = 4*j + 1 + 4 + 1. Calculate y(-5). -14 Let g = -269 + 273. Let q(n) = n**3 - 3*n**2 - 2*n - 2. Determine q(g). 6 Suppose z + 45 = -0*z - v, 0 = -z + 4*v - 35. Let o = 37 + z. Let t(j) = -j**2 - 5*j + 7. Calculate t(o). 1 Let y = 5 - 1. Let o(f) = -f**3 + 5*f**2 + 3*f - 3. Let p(k) = k**3 - 5*k**2 - 4*k + 4. Let w(u) = 5*o(u) + 4*p(u). Give w(y). 13 Let d(s) = 916*s - 914*s - 8 + 3. Suppose 16*r - 55 = 5*r. Calculate d(r). 5 Let i = 14 - 18. Let b be 16/28*(-14)/i. Let z(g) be the first derivative of 2*g**3/3 - g**2/2 + g - 1. Calculate z(b). 7 Suppose 2*t = -1 - 9. Let z(k) = -k**3 - 7*k**2 - 4*k + 3. Determine z(t). -27 Let y(a) = a**2 + 11*a + 8. Suppose 264 = -l - 21*l. Calculate y(l). 20 Let j be 40/(-30)*6/2. Let d(w) = -w**3 - 2*w**2 + w - 5. Determine d(j). 23 Let o = 25 - 25. Let z be (2/3)/((-8)/(-36)). Let a(x) = -x**2 + 0*x - 4 - z*x + 4*x + x**3 + 0*x. Calculate a(o). -4 Let f be 2/(-7) + 32/14. Let b(q) = -4*q - 2 + 3*q + f*q. Let k be (4 - -1) + 30*(-21)/63. What is b(k)? -7 Let j(s) = -1. Let y(x) = -x + 9. Let q(z) = j(z) + y(z). What is q(6)? 2 Let r(n) = 3*n + 17. Let x be (-150)/18 - (-24)/18. Calculate r(x). -4 Let p(l) be the third derivative of -l**6/120 + l**4/8 + l**3/6 - 83*l**2. Give p(3). -17 Let x(a) = -2*a**3 - 25*a**2 + 12*a - 6. Let z(t) = 3*t**3 + 47*t**2 - 25*t + 12. Let d(w) = 5*x(w) + 3*z(w). Give d(15). 6 Let x(q) = -2*q. Let i = 15 + 3. Let b be (-30)/(-9)*27/i. What is x(b)? -10 Let m(k) = 12*k - 1. Suppose 7 = -3*x + 10*x. Suppose -6 + x = 5*d. Calculate m(d). -13 Let p(u) = 2*u**3 - 6*u**2 + 6*u**2 - u. Let o(h) = 15*h**2 - 50*h + 13. Let n be o(3). Determine p(n). -14 Let i(t) = -12*t + 1. Let r be (-3)/2 + 90/12. Let f = 6 - r. Suppose 0 = 2*d - 2 - f. Determine i(d). -11 Let x be ((-21)/14)/((-3)/(-20)). Let z(j) = -j**3 - 11*j**2 - 8*j + 23. Let a be z(x). Let f(k) = k**3 - 4*k**2 + 3*k + 1. Determine f(a). 1 Let h(x) = -7 + 22 + 6*x - 8*x + 9*x - 12. Give h(-5). -32 Let c(w) be the first derivative of -4*w**2 + 0*w**2 - 3*w + 3*w**2 + 11. Determine c(3). -9 Let h be -12 - ((-7 - -3) + -1). Let y(s) = s**3 - s**2 + s. Let d(q) = -7*q**3 - 5. Let r(g) = -d(g) - 6*y(g). Determine r(h). -2 Suppose -5*z + 18 = -2*z. Let i = 8 + -5. Let s(m) = 0 - i + 3 + 3*m. What is s(z)? 18 Let w(q) = 7*q - 2. Let j be w(1). Suppose j*y + 23 = 8. Let t(c) = -c**2 + c + 2. Determine t(y). -10 Let v(h) = -h**2 + 16*h - 1. Suppose -3*k + 33 = -3*m, -45*k + m - 21 = -46*k. What is v(k)? -1 Suppose -5*m = 5560 - 5570. Let l(s) = 8*s - 10. Calculate l(m). 6 Let f(d) = -57*d + 168. Let b be f(3). Let i(a) = -a**2 - 6*a - 18. Determine i(b). -9 Let q = 0 + 2. Suppose 0 = q*r + 6 - 4. Let f(i) be the first derivative of -3*i**4/2 - i**3/3 + i**2/2 + i - 199. Give f(r). 5 Let f(v) be the first derivative of 4*v**3 - 3*v**2 - 18*v + 30. Let q(i) = -7*i**2 + 3*i + 9. Let o(p) = 3*f(p) + 5*q(p). What is o(7)? 19 Suppose a = 3*l + 2*l - 121, -2*l + 30 = -5*a. Let j = -22 + l. Suppose -j*p - 27 = -6. Let y(v) = -v - 8. Calculate y(p). -1 Let c(l) = -l**2 + 5*l - 4. Let o(s) = s**2 - 5*s + 4. Let u(j) = 6*c(j) + 7*o(j). Calculate u(7). 18 Let q be 5*-1 - (4 - 5). Let h(x) be the first derivative of -3*x**2 - 6*x - 9. What is h(q)? 18 Let y(i) = i**2 - 25*i + 1. Let x(s) = 2*s**2 - 44*s + 2. Let w(h) = -3*x(h) + 5*y(h). Let f = 3 + 3. What is w(f)? 5 Let k(t) = 7*t**2 + t - 9. Let o(f) = -9*f**2 - f + 10. Let p(h) = -4*k(h) - 3*o(h). What is p(-6)? -24 Let r(s) = s**2 - 7*s + 4. Suppose 2*g - i - 2*i = 18, 5*i = 3*g - 28. What is r(g)? -2 Let a(g) be the first derivative of -g**4/4 - 8*g**3/3 - 5*g**2/2 - g + 222. What is a(-4)? -45 Let z(t) be the third derivative of t**4/8 - 29*t**3/3 - 542*t**2. What is z(20)? 2 Let m(s) = -2*s. Let r(p) = -p**2 - 12*p + 12. Let a(d) = m(d) + r(d). Give a(-15). -3 Let v = 127 + -124. Let n(f) = -f**3 + 3*f**2 + 4. Give n(v). 4 Suppose 3*r - k + 24 = 0, -3*r - 20 = -3*k - 2. Let y(g) = 7*g. Let c(l) = -3*l - 1. Let m(o) = r*c(o) - 4*y(o). Determine m(9). 0 Let c(x) be the third derivative of -7*x**6/60 - x**5/60 + x**4/24 - 2*x**2 - 27*x. What is c(1)? -14 Let x = 36 + -44. Let f(b) = -b + 2. What is f(x)? 10 Let o(g) = -3*g + 1. Suppose -3*p - 6 = -6*p. Suppose 0*r + r + p = 3*c, 6 = -c + 2*r. Determine o(c). -5 Let p = -49 - -46. Let r be (6/18)/((-1)/(-6)). Let s(j) = 1 + 2 - j**r + 4*j - 6*j. Give s(p). 0 Let h(c) be the second derivative of -c**5/20 - c**4/4 - 2*c**3/3 + c - 27. Suppose 4*s = -s + 5. Suppose 5 + s = 3*r + 5*p, -2*p - 9 = 5*r. Determine h(r). 12 Let t(d) = d + 10. Let h be t(-8). Let g(r) = 2 + h - 14 + r**2 - 6*r + 4. What is g(6)? -6 Let x(a) be the first derivative of -a**4/4 - a**3 + 3*a**2 - 7*a + 81. Suppose 3*r - 2*m = -268, 4*r - 3*m - 8 = -367. Let y be 2/(-9) + r/18. What is x(y)? 13 Let m(a) = -3*a - 1. Let f(u) = 18 - 16 + 0*u + 7*u. Let d(t) = -6*f(t) - 13*m(t). Calculate d(2). -5 Let f(h) = 2*h**2 + 7*h - 17. Let p be 16/128 + 228/(-32). Give f(p). 32 Let s(r) = -7*r**3 + 2*r + 2. Let h(w) = 2*w**2 - 39*w - 21. Let b be h(20). Determine s(b). 7 Let k be (3/(-2) - -1)*(8 - 10). Let h(d) = 8 + 6*d**2 + d + d**3 - 7*d**2 - 9. Give h(k). 0 Let b(h) = -7*h**2 + 4*h + 12. Let j(l) = 6*l**2 - 5*l - 12. Let g(o) = 5*b(o) + 6*j(o). Let m be g(11). Let y(f) = -10*f + 0 + 9*f + 1 - 3. Calculate y(m). -1 Let b(y) = 4*y**2 - 10*y + 19. Let x(g) = -11*g**2 + 30*g - 54. Let i(m) = 8*b(m) + 3*x(m). What is i(7)? 11 Suppose 2*s + 3 = -5*k, -4*k - 5*s = -8*k + 24. Let j(f) = k + f + 3*f - f. Let i be (6 + 190/(-35))/((-4)/14). Determine j(i). -5 Let n(i) = -i**3 + 5*i**2 - 5*i + 4. Suppose 0*g + 11 = 4*u + 3*g, -5*u + 22 = g. What is n(u)? -21 Let x(r) = r**2 - 2. Let f(o) = o**3 - 10*o**2 + 9*o + 10. Let m(i) = -f(i) - 2*x(i). What is m(7)? -20 Let x(o) be the first derivative of -1/4*o**4 + 20 + o - 2*o**3 + 4*o**2. What is x(-7)? -6 Let i(z) = z**2 - 5*z - 2. Let q be i(6). Let s be (-4380)/(-48) - ((-10)/(-8) - 2). Let c(h) = -s*h**2 - 4 + 181*h**2 + 4*h - 86*h**2 - h**3. Calculate c(q). -4 Let i(w) = -w + 1. Let k(f) = 1. Let o(b) = -6*i(b) + 5*k(b). Let q be o(1). Let v(y) = y + 4. Calculate v(q). 9 Suppose -n + 23 = -4*w, -w = w + 8. Let z(p) = p**2 - 5*p - 5. What is z(n)? 9 Let g(j) = j**3 - 11*j**2 + 10*j + 2. Let o be g(10). Let t = -9 + 29. Suppose -o*u + t = -6*u. Let v(c) = c**3 + 6*c**2 + 5*c - 7. Determine v(u). -7 Let v(y) = -3*y + y**3 - 8 + 3*y + 6*y**2 - y - 6*y. What is v(-7)? -8 Let u be -2*1/(-2) + -5. Let h be (-2)/(45/(-210) - 4/14). Let m = h + u. Let l(z) = z**3 + z + 4. What is l(m)? 4 Let c(p) be the first derivative of p**3/3 + 5*p**2/2 - 4*p - 10. What is c(-5)? -4 Let u(l) = -7*l**2 + 5*l - 5. Let j(v) = 4*v**2 - 2*v + 3. Let i(n) = -5*j(n) - 3*u(n). What is i(4)? -4 Let v(r) = 20*r + 13*r + 7*r - r - 7 - 21*r. Give v(3). 47 Let a = -7 + 4. Let n be 1/a - (-40)/12. Let x(b) be the third derivative of -b**6/120 + b**5/20 + b**4/12 - b**3/2 + 139*b**2. What is x(n)? 3 Let q(t) = -14*t + 9. Let g(s) = -9*s + 6. Let c(a) = 8*g(a) - 5*q(a). Let o(d) = -3*d + 4. Let m(r) = 4*c(r) - 3*o(r). Calculate m(4). 4 Let f(o) = 4*o - 1. Let s(x) = -x**3 + 4*x**2 + 6*x - 2. Let q be s(6). Let h = q - -35. What is f(h)? -13 Let m(w) = -w**2 + 4*w + 3. Let i be m(4). Suppose 4 = l, 2*b - i*l + 2*l = 0. Let o(c) = -3*c**3 - 8 + c - 3 + 4*c**3 - b*c**3. Determine o(0). -11 Let u(v) = v**3 - 15*v**2 + 19*v - 61. Let f be u(14). Let k(t) = t**2 - 7*t + 4. Calculate k(f). 22 Let h(f) = 11*f + 2*f**3 + f**3 + 3*f**2 + 2*f**3 + 1 - 6*f**3. Determine h(5). 6 Let b(q) be the first derivative of q**2 + 7*q + 195. What is b(4)? 15 Let v(x) = -x**2 + 13*x + 38. Let k be v(14). Let r be 2*-2*1/(-4). Let j be r + k/4 - 3. Let c(u) = -u - 4. Give c(j). -8 Let d(w) = w**3 + 3*w**2 - 4*w + 17. Let o(z) = -4*z**2 + 65*z - 66. Let h be o(1). Calculate d(h). -13 Let x(a) = -5*a + 29. Let l be x(5). Let y(q) = 3*q**2 + 12*q - 9. Let p(g) = 2*g**2 + 6*g - 5. Let z(h) = -5*p(h) + 3*y(h). Determine z(l). 6 Let b be (-38)/(-4) + 1/2. Let f(s) = -s**2 - 10*s. Let k(u) = 5*u**2 + 40*u. Let t(m) = -9*f(m) - 2*k(m). Determine t(b). 0 Let y(l) = 12*l**3 + 2*l**2 - 5*l - 4. Let q(h) = -14*h**3 - 3*h**2 + 7*h + 5. Let d(o) = 3*q(o) + 4*y(o). Determine d(1). 5 Let o
{ "pile_set_name": "DM Mathematics" }
igrams? 15250 How many years are there in 77/2 of a decade? 385 What is three tenths of a decade in years? 3 What is 0.9114925ug in grams? 0.0000009114925 How many centimeters are there in 18/5 of a meter? 360 How many millimeters are there in 4.257176um? 0.004257176 How many minutes are there in three tenths of a day? 432 What is one quarter of a centimeter in micrometers? 2500 How many millilitres are there in 17/2 of a litre? 8500 What is 312.1082 centuries in years? 31210.82 Convert 3770.598ng to micrograms. 3.770598 How many meters are there in 83329.56 micrometers? 0.08332956 How many months are there in three eighths of a decade? 45 What is fourty-three halves of a millennium in years? 21500 How many micrometers are there in 11/2 of a millimeter? 5500 What is 27/4 of a day in hours? 162 Convert 249.85284 months to millennia. 0.02082107 What is 13/8 of a week in minutes? 16380 How many micrometers are there in 1/10 of a millimeter? 100 What is 451.3969t in nanograms? 451396900000000000 How many grams are there in twenty-one eighths of a kilogram? 2625 How many tonnes are there in 8.351892g? 0.000008351892 What is fourty-three thirds of a decade in months? 1720 How many hours are there in 27/4 of a day? 162 How many minutes are there in 1/4 of a week? 2520 Convert 0.1961037 centuries to months. 235.32444 What is 514065.6mm in centimeters? 51406.56 What is one twentieth of a millennium in years? 50 What is one quarter of a day in seconds? 21600 What is 8.812011ml in litres? 0.008812011 What is 8757.437nm in micrometers? 8.757437 What is 83975.79 litres in millilitres? 83975790 How many seconds are there in 10/3 of a hour? 12000 How many micrometers are there in 1/20 of a millimeter? 50 What is three fifths of a centimeter in millimeters? 6 How many milligrams are there in one quarter of a gram? 250 What is fourty-four fifths of a litre in millilitres? 8800 How many minutes are there in 16/15 of a day? 1536 How many minutes are there in 7/6 of a day? 1680 How many minutes are there in five sixths of a week? 8400 How many months are there in 3/8 of a decade? 45 Convert 2991859.8 months to millennia. 249.32165 How many micrometers are there in seven quarters of a millimeter? 1750 What is 6/25 of a meter in centimeters? 24 What is 2/15 of a decade in months? 16 Convert 31.39453 micrometers to meters. 0.00003139453 What is 6/5 of a litre in millilitres? 1200 Convert 103164.1 hours to microseconds. 371390760000000 How many milligrams are there in sixty-four fifths of a gram? 12800 How many micrometers are there in three eighths of a centimeter? 3750 What is 6/25 of a century in years? 24 Convert 416.4966 decades to millennia. 4.164966 How many micrograms are there in 7.926827 kilograms? 7926827000 How many decades are there in 21765.735 months? 181.381125 How many millilitres are there in one twentieth of a litre? 50 What is 3/7 of a week in days? 3 How many millilitres are there in seven halves of a litre? 3500 What is 18/5 of a litre in millilitres? 3600 Convert 3.093657 litres to millilitres. 3093.657 What is 1/4 of a kilogram in grams? 250 How many kilometers are there in 780.3886 millimeters? 0.0007803886 How many nanoseconds are there in one twentieth of a microsecond? 50 What is 2358.1875ms in minutes? 0.039303125 Convert 761.0036 millilitres to litres. 0.7610036 How many decades are there in 15454.101 months? 128.784175 How many millilitres are there in thirteen fifths of a litre? 2600 What is 18/5 of a meter in centimeters? 360 How many months are there in 1/5 of a millennium? 2400 How many centuries are there in 2683.965 months? 2.2366375 How many minutes are there in 17/6 of a week? 28560 How many centuries are there in 0.5814126 years? 0.005814126 What is one tenth of a centimeter in micrometers? 1000 What is twenty-one eighths of a hour in seconds? 9450 What is 1.482444 grams in tonnes? 0.000001482444 Convert 8453.519ug to tonnes. 0.000000008453519 How many millennia are there in 6.74945 decades? 0.0674945 What is fifty-nine thirds of a week in hours? 3304 What is 3/5 of a litre in millilitres? 600 Convert 83126.96l to millilitres. 83126960 How many millilitres are there in 27/4 of a litre? 6750 What is 37/2 of a decade in months? 2220 How many litres are there in 556.221ml? 0.556221 What is 37/2 of a second in milliseconds? 18500 How many decades are there in seventeen halves of a century? 85 How many millilitres are there in three tenths of a litre? 300 How many microseconds are there in 250567.5 minutes? 15034050000000 What is sixteen ninths of a hour in seconds? 6400 How many micrometers are there in three eighths of a millimeter? 375 What is twenty-seven fifths of a kilogram in grams? 5400 What is 1/10 of a second in milliseconds? 100 How many milliseconds are there in 956116.1 microseconds? 956.1161 Convert 24247.23 years to millennia. 24.24723 What is 0.2803861 seconds in microseconds? 280386.1 Convert 68115.31 centuries to months. 81738372 How many millilitres are there in three tenths of a litre? 300 How many seconds are there in 29/3 of a hour? 34800 How many milliseconds are there in 493.503 days? 42638659200 What is 26277.66 litres in millilitres? 26277660 What is 29392.38 litres in millilitres? 29392380 How many millilitres are there in eleven quarters of a litre? 2750 How many years are there in one tenth of a millennium? 100 How many months are there in 7/2 of a decade? 420 Convert 1359876.9 months to centuries. 1133.23075 What is 264.385782ns in days? 0.000000000003060020625 How many milligrams are there in fourty-three halves of a gram? 21500 How many grams are there in one fifth of a kilogram? 200 What is 27/2 of a litre in millilitres? 13500 What is 81/4 of a litre in millilitres? 20250 How many millilitres are there in 0.5564161 litres? 556.4161 How many weeks are there in 80.2956 hours? 0.47795 What is 99048.26ng in kilograms? 0.00000009904826 How many months are there in 521631.8 centuries? 625958160 How many nanoseconds are there in 1/20 of a millisecond? 50000 How many litres are there in 228118.5 millilitres? 228.1185 How many days are there in three sevenths of a week? 3 How many nanometers are there in 29/5 of a micrometer? 5800 Convert 655.8366 kilometers to nanometers. 655836600000000 What is 382.8492ml in litres? 0.3828492 What is 2/125 of a centimeter in micrometers? 160 How many years are there in three fifths of a decade? 6 What is 6.777271 hours in minutes? 406.63626 How many litres are there in 29.70684ml? 0.02970684 Convert 428898.1l to millilitres. 428898100 What is 3/40 of a millimeter in micrometers? 75 What is one quarter of a litre in millilitres? 250 What is 7/8 of a litre in millilitres? 875 What is fifteen quarters of a week in minutes? 37800 What is 18/5 of a litre in millilitres? 3600 How many millilitres are there in seven halves of a litre? 3500 How many nanoseconds are there in 305817.3 weeks? 184958303040000000000 What is thirteen fifths of a microgram in nanograms? 2600 What is 72.79517 micrometers in kilometers? 0.00000007279517 How many decades are there in 869739.3 centuries? 8697393 What is 33.58456ug in nanograms? 33584.56 How many months are there in 10/3 of a decade? 400 What is 2.5010877 minutes in hours? 0.041684795 What is sixty-three eighths of a micrometer in nanometers? 7875 How many months are there in 4/75 of a millennium? 640 How many grams are there in three fifths of a kilogram? 600 What is 0.4827733 tonnes in grams? 482773.3 What is four fifteenths of a decade in months? 32 How many months are there in 5/6 of a decade? 100 What is 1/4 of a gram in milligrams? 250 How many minutes are there in 59/3 of a hour? 1180 How many months are there in one sixth of a millennium? 2000 How many milligrams are there in fifteen quarters of a gram? 3750 What is 11.65796 hours in microseconds? 41968656000 How many millimeters are there in seventy-seven fifths of a meter? 15400 What is 5.766155 weeks in days? 40.363085 What is 13422.27 nanoseconds in microseconds? 13.42227 How many seconds are there in eleven tenths of a hour? 3960 What is twenty-seven quarters of a litre in millilitres? 6750 How many millimeters are there in fourty-three quarters of a meter? 10750 What is 641
{ "pile_set_name": "DM Mathematics" }
35/3. Let n = w + -14. What is the nearest to 1 in n, -5, 0.2? 0.2 Let r = -26 + 181/7. Let l = -0.3 - -0.4. Let i = l - 0.1. What is the closest to i in r, 2, 0.5? r Let q = -1/19 - 17/38. Let p(v) = -v**2 + 9*v - 3. Let n be p(8). What is the nearest to 1 in q, n, -2/13? -2/13 Let z be 1*2/((-6)/3). What is the closest to -1 in 7, 0.5, z? z Let l = 0.5 + -0.5. Let b = -0.18 + 0.2. Let h = 0.98 + b. What is the closest to l in 0.3, -2, h? 0.3 Let h = 0.27 - 1.37. Let q = 0.1 + h. Let v = 0.985 - 0.785. What is the nearest to q in 2, v, 4/9? v Let k = -128 + 125. Let d = 0.1 + -0.1. What is the nearest to d in 2/5, 1, k? 2/5 Let x be ((-5)/(-30))/((-1)/3 + 0). What is the closest to 0.8 in 5/2, 2, x? 2 Suppose 6 = 3*z - 2*z + 2*f, 5*z + 5*f - 15 = 0. Suppose z = -7*a + 12*a. What is the closest to 0.3 in -2/17, 0.2, a? 0.2 Let t = 11 - 4. Let m = t - 11. What is the nearest to 1 in 5, 1, m? 1 Let b = 36.9 + -37. What is the nearest to b in 0.3, 0.4, 6? 0.3 Suppose 2*u - 3*p - 3 = 0, p = 5*u + 13 - 40. Suppose -5*r - 21 = -u. Let x = -42 - -169/4. Which is the nearest to x? (a) -2/17 (b) r (c) 2/5 c Let q = -14 - -15. What is the closest to q in -5, 3, -4? 3 Let k = 533/4 + -134. Which is the nearest to k? (a) 2 (b) 3 (c) 2/7 c Let f(y) = -4*y - 3. Let n be f(-2). Suppose -2*i - n = c, c = i + i + 7. What is the nearest to c in -2, 0, 1/3? 1/3 Suppose 115*p = 112*p + 12. What is the nearest to 2 in 2/7, p, 0.5? 0.5 Let v = 1.18 + 2.82. Let d = -0.4 + 0.3. Which is the closest to d? (a) v (b) 0.4 (c) -3 b Let p = -5.8 + 2.8. Let t = -5.9 + 6. Which is the nearest to p? (a) -0.1 (b) 0.3 (c) t a Let i be (-10)/18 + (-1)/(-3). Let s = -45.29 - -45. Let p = s - 0.71. What is the nearest to p in -0.4, -4, i? -0.4 Let n = -4 + 4.1. Let k = -0.1 - -1.1. Let p = -3.8 - 1.2. What is the nearest to n in -4, k, p? k Suppose -2*h + 3*g = 2*h - 10, 4*g = 5*h - 12. Suppose -5*j = -4*y + y - 23, h = -4*y. Let w = 6 - 7. Which is the closest to -1? (a) w (b) j (c) 3 a Suppose 15*s = 9*s - 12. Let f be 8/(-2)*(-1)/26. What is the nearest to 1 in f, s, 0? f Let w = -3 - -3. Let v = -20 + 20. Which is the nearest to v? (a) 2 (b) w (c) 1/4 b Let m be -1 + (4 + -2 - 1). Which is the nearest to m? (a) 4 (b) 1/8 (c) -5 b Let h = -0.76 - -0.46. What is the closest to 1 in -4, h, -0.8? h Let f(o) = o + 5. Let g be f(-8). Let t be (1/10)/(g/6). Which is the closest to -3? (a) 4 (b) t (c) -1 c Let n be 69/(-230)*4/(-3). Which is the nearest to n? (a) -2/5 (b) -0.1 (c) 0.3 c Let u = 3.04 - 3. Let g = u - -0.96. Let i = -0.07 - 0.13. What is the closest to g in -3/5, 4, i? i Let n = -6 + 5.7. Let l be (-1)/((-1)/(-6)*-2). Suppose l = m + 4. What is the closest to m in n, 2/11, -1? -1 Suppose 5*c = c - 48. Suppose -2*u + 9 = 23. Let h = u - c. What is the closest to -2/5 in 1, 0.2, h? 0.2 Let x = -2 + 2. Let j = 3 - x. Let o = 2.6 - j. Which is the closest to -0.1? (a) 0.3 (b) 1/3 (c) o c Let s = -106 + 109. What is the nearest to -2/3 in 4/7, s, 1/6? 1/6 Let i be 10/2*(-174)/(-45). Let m = 19 - i. What is the nearest to 1 in m, -3, 0? 0 Let v = -0.21 - -0.21. What is the nearest to v in 2/3, 0, -1/2? 0 Let c = -135 + 1213/9. What is the nearest to 0.2 in c, 4, -0.4? c Let w be 2 + (-2)/(1 + 0). Let g be 4/8*0*4/4. Which is the closest to w? (a) 1/4 (b) g (c) 1/6 b Let n = -45 - -32. Let m = 15 + n. What is the closest to m in 1, 1/5, 1/3? 1 Let c = 31 - 29.7. Let x = 1.3 - c. What is the closest to x in 2/9, 0.5, 2/21? 2/21 Let m be -2 + 4 - (-13)/(-6). Let w = -256 + 1796/7. What is the closest to -1 in -1/8, w, m? m Let x = -868.07 + 864. Let r = -0.07 - x. Which is the closest to -1? (a) r (b) 6/7 (c) -4 b Let h = -2 - -3. Let j = -1.1 - -4.1. What is the closest to -2/3 in j, h, 5? h Let t = -0.51 - -1.01. What is the nearest to -0.1 in -2, -0.1, t? -0.1 Let g = 1.8 - 3. Let f = 1.7 + g. Which is the nearest to 0.1? (a) -0.4 (b) f (c) -5/7 b Let p = -15 - -16. What is the nearest to 0 in 7, p, 4? p Let r(o) = -3*o**3 + o. Let f be r(-1). Let u = 6 - f. Which is the nearest to -2? (a) -0.4 (b) u (c) -0.2 a Let o = -27 + 27. Which is the closest to o? (a) -0.4 (b) -1 (c) 5 a Let y(i) = 8*i - 1. Let p be y(2). Let n be p*6/63 - 1. Let o = 0.2 - 0.2. What is the closest to o in n, -5, 0? 0 Let t = 13/6 + -53/30. Which is the closest to t? (a) -2 (b) -4 (c) 2/13 c Let q be ((-20)/35)/(4/14). Which is the nearest to q? (a) -1 (b) -5 (c) -0.3 a Let i = 3.6 + -0.6. Let t = 0.26 - 0.16. What is the closest to t in i, -5, -2? -2 Let k = 114 - 114.4. Which is the nearest to 0? (a) -2/3 (b) k (c) 0.1 c Suppose 2*s - 8 = 4*u, 4*s + 3*u = -0*u - 28. Let w = -94.1 + 89. Let p = -5 - w. What is the nearest to 0.2 in p, -5, s? p Let l = 2.94 + 0.06. Let h = -66 - -459/7. Which is the closest to 1/4? (a) -3 (b) l (c) h c Let n be (3/2)/((-9)/12). Let l = -48 - -45. Which is the closest to n? (a) l (b) -2/7 (c) 2 a Let v = -0.82 - -0.42. Which is the closest to 1/2? (a) v (b) 0 (c) 1/4 c Let u = -86 + 77.1. Let l = u + 9. Which is the closest to -1/4? (a) -3 (b) -5 (c) l c Let v = 16/15 - 26/15. Let x = 2.6 + -2.9. Let n = 5 + -27/5. Which is the nearest to n? (a) x (b) -3 (c) v a Suppose -l - 106 = -110. Which is the nearest to -2? (a) 3 (b) -0.1 (c) l b Let i = 16 - 16.4. Let j = 8 - 7. Which is the closest to j? (a) -5 (b) -0.2 (c) i b Let z be 0 + -5*(-2)/4. Let w be -3 + (-1 - (-126)/33). Let v = 5 - 5. What is the closest to v in -0.1, w, z? -0.1 Let w be ((-9)/4)/((-9)/354). Suppose 0 = -3*c - 3*a + 258, -571 = -5*c - 2*a - 138. Let o = w - c. What is the nearest to -1 in o, 1/9, 3? 1/9 Let i = 16 + -12. Which is the closest to 1? (a) 1/3 (b) 0.5 (c) i b Let d = 43 + -173/4. Which is the closest to -8? (a) d (b) -5 (c) -0.5 b Suppose 2*w = -4, 4 = 2*q - 4*w - 0. Let l be (q/4)/((-6)/(-4)). Let y(t) = -t**2 + 5*t - 2. Let f be y(3). What is the closest to l in f, 4/5, 1? 4/5 Let t = 4.6 - 5. Which is the closest to 0? (a) -2 (b) -0.3 (c) t b Let i be 11/1 + (-9)/3. Let u be (-3 - (-23)/i)*-2. Let m be (-8 + 7)/(2/(-4)). Which is the nearest to u? (a) -4 (b) -1/5 (c) m b Let n = -1.38 + 1.78. What is the closest to 0 in 1, n, 4? n Let o = -0.7 + 5.7. What is the nearest to 0.1 in o, -0.3, -0.2? -0.2 Suppose 0 = -5*y - 4*q - 15, -3*q + 12 = -4*y - 5*q. Let b = 4 + y. Let c be 1/(-4) + 1/b. What is the closest to 0 in 0.2, 3, c? 0.2 Suppose 2*s + 4 = s, f = 2*s + 12. Suppose -f*c + 3*c + 1 = 0. Let h be c/3 - 14/6. What is the nearest to h in 0.4, 3, 1/5? 1/5 Let d = 0.05 - 0.01. Let j = d - -2.96. What is the nearest to 2/5 in 2/7, 4/7, j? 2/7 Suppose 13 = 2*d + 3. Suppose 3 = d*s - 2*s. Which is the closest to 0.1? (a) 3 (b) -0.2 (c) s b Let f = 0.1 + -0.1. Let k = -64.9 + 65. Which is the nearest to f? (a) 0.2 (b) 4 (c) k c Let p be (54/5)/(2/20). Let z be -3 - 4/(p/(-93)). Suppose 4*j = -0*j + 5*s + 32, -5*s - 8 = 4*j. What is the nearest to -2/7 in z, j, -3? z Let q = -1.6 - -1. Let j = q + -1.4. Let o = -3 - j. Which is the nearest to o? (a) 2 (b) 1 (c) 2/9 c Let x = 0.2 - -0.8. Let k = -2.3 + 6.3. Which is the nearest to x? (a) -4 (b) 0.2 (c) k b Let f = -36 - -35.5. Suppose 1 = 5*n - 4. Which is the closest to n? (a) f (b) 1 (c) -5 b Let d = -105 + 106. What is the closest to 0 in d, -5, 0.1? 0.1 Let x = 7.47 - 2.58. Let r = x - -0.11. Which is the nearest to -2? (a) -4 (b) -0.2 (c) r b Let v be 0 - (-1)/((-22)/(-12)). What is the closest to -0.8 in -0.5, v, 3/2? -0.5 Let o = -4.15 - -4. Let g = o - -6.15. Let h = g - 5. Which is the closest to h? (a) -3/5 (b) 3 (c) 0 c Let u = 9.6 + -12. Let q = 0.6 - u. Let j be (-1)/(-2) - (-1)/(-6). Which is the closest to j? (a) -2 (b) 0.3 (c) q b Let l = -6 - -6.5. Let z = -0.03 + -0.97. Let t be 6/2*(-2)/10. What is the nearest to z in -3, t, l? t Let s = 12 + -10.3. Let h = s + -2. Suppose -4*n - 3*k + 16 = -10, -5 = n - 5*k. Which is the nearest to h? (a) -2/3 (b) 0 (c) n b Let q(x) = -x. Let k be q(2). Let h be (2/k)/((-3)/2). Let d = 1 + -2. Which is the nearest to h? (a) 3 (b) d (c) -1/5 c Let b = 0.2 - 1.2. Let u be (-325)/(-200) + (-2)/16. What is the closest to 1/2 in b, u, -3/7? -3/7 Let f = -117.6 + 118. Wh
{ "pile_set_name": "DM Mathematics" }
Let i(b) = -13699*b - 287462. Determine i(-21). 217 Let l(d) = -70143*d + 210425. What is l(3)? -4 Let b(v) = -8*v**2 + 4165*v - 139564. Calculate b(36). 8 Let m(y) = y**3 - 302*y**2 + 804*y + 27904. Give m(299). 97 Let p(x) = 21125*x - 295889. What is p(14)? -139 Let g(n) = -3488*n + 135950. Calculate g(39). -82 Let j(w) = -288*w - 18145. Calculate j(-63). -1 Let b(x) = x**3 - 29*x**2 - 3*x + 2087. Determine b(26). -19 Let r(w) = 627*w + 12473. What is r(-20)? -67 Let x(g) = -4522*g - 17672. What is x(-4)? 416 Let h(m) = -2*m**3 - 78*m**2 - 362*m - 7915. What is h(-37)? 3 Let q(s) = -311*s - 2487. Determine q(-8). 1 Let m(l) = -4*l**3 + 941*l**2 - 238*l + 788. Give m(235). 83 Let i(w) = 953*w + 188695. Give i(-198). 1 Let p(t) = 713*t - 8519. Calculate p(9). -2102 Let g(a) = 2121*a**2 - 29692*a - 25. Give g(14). 3 Let h(n) = 44964*n - 45064. Determine h(1). -100 Let r(g) = 6923*g - 41369. Calculate r(6). 169 Let a(q) = 7637*q - 7279. Give a(1). 358 Let f(y) = 40*y**2 + 69955*y + 348769. Give f(-5). -6 Let g(c) = c**3 + 32*c**2 - 538*c + 53. Calculate g(12). -67 Let y(c) = 1964*c - 9921. Give y(5). -101 Let x(q) = -q**2 + 549*q + 12. Determine x(-4). -2200 Let b(j) = -9*j**2 + 3223*j + 19660. What is b(-6)? -2 Let z(j) = -j**3 - 32*j**2 + 766*j + 5676. Give z(-46). 64 Let i(m) = 6*m**3 + 39*m**2 - 9*m - 51. Determine i(-8). -555 Let p(g) = -g**3 + 93*g**2 + 1283*g - 2443. What is p(105)? -28 Let q(o) = -62623*o - 187818. What is q(-3)? 51 Let m(r) = r**3 - 486*r**2 + 3627*r + 1585. What is m(8)? 9 Let d(p) = 2*p**2 + 68886*p + 137777. Determine d(-2). 13 Let m(c) = -2*c**3 + 5*c**2 + 29316*c - 87942. Give m(3). -3 Let z(f) = 2*f**2 - 192*f - 3142. Determine z(-15). 188 Let u(y) = -474*y - 21157. Calculate u(-45). 173 Let y(u) = 4323*u + 881888. Give y(-204). -4 Let h(c) = 489*c - 12581. What is h(25)? -356 Let d(x) = 2510*x + 28476. What is d(-11)? 866 Let h(t) = 4*t**3 + 27*t**2 - 194*t - 92. Calculate h(5). 113 Let w(k) = -239*k**3 - 14*k**2 - 16*k - 17. Give w(-2). 1871 Let s(k) = 9274*k + 306039. Calculate s(-33). -3 Let b(u) = -15110*u - 225915. Give b(-15). 735 Let u(o) = 63*o**3 + 12*o**2 + 240*o + 442. Give u(-2). -494 Let v(m) = 2*m**3 - 33*m**2 - 231*m + 4224. Give v(14). 10 Let x(s) = -800*s - 933. Give x(2). -2533 Let k(m) = m**3 + 29*m**2 + 90*m - 472. Give k(-24). 248 Let w(a) = -85*a**3 - 20*a - 580. Determine w(0). -580 Let r(f) = -2*f**3 - f**2 + 10*f - 9. What is r(1)? -2 Let x(u) = -5*u**3 + u**2 + 227*u + 455. Calculate x(-2). 45 Let n(l) = 68926*l - 275397. Calculate n(4). 307 Let z(k) = -5*k**3 - k**2 + 3*k - 1283. Give z(0). -1283 Let k(a) = a**2 + 34*a - 2820. Determine k(33). -609 Let r(z) = -3*z**3 - 5*z**2 + 117*z - 251. Determine r(3). -26 Let n(q) = 570*q**2 - 22232*q + 64. Determine n(39). -14 Let g(f) = 16*f**3 - 321*f**2 + 19*f - 188. Calculate g(20). -208 Let r(t) = -t**3 - 112*t**2 + 962*t + 11. Determine r(8). 27 Let i(j) = -2*j**2 + 136*j + 8377. Calculate i(107). 31 Let m(n) = -7516*n - 503590. What is m(-67)? -18 Let f(i) = 861*i + 22378. Give f(-26). -8 Let i(m) = 4*m**3 - m**2 - 77*m + 758. What is i(10)? 3888 Let j(p) = p**2 + 370*p + 141. Calculate j(0). 141 Let b(j) = 11367*j - 125519. Give b(11). -482 Let o(t) = 15*t**3 - 764*t**2 - 36*t + 4. Determine o(51). 769 Let o(n) = 47*n**2 + 1304*n - 5230. What is o(4)? 738 Let s(w) = -2*w**3 + 4471*w**2 - 31211*w + 101. Calculate s(7). 17 Let o(s) = -s**3 - 5*s**2 + 7398*s + 87760. What is o(-12)? -8 Let w(t) = t**3 - 104*t**2 - 1146*t + 72. Calculate w(114). -612 Let p(u) = -43*u**3 + 44*u**2 + 205*u + 254. Determine p(-3). 1196 Let b(a) = -4657*a + 41706. What is b(9)? -207 Let d(x) = -1453*x + 33432. What is d(23)? 13 Let c(b) = -5*b**3 - 153*b**2 - 168*b - 225. Calculate c(-29). -2081 Let o(n) = 2*n**2 - 959*n - 178. Give o(0). -178 Let m(v) = 17*v**2 + 312*v + 1280. Give m(-12). -16 Let j(l) = 5*l**2 + 12198*l + 36602. Determine j(-3). 53 Let z(n) = -22784*n + 683496. Give z(30). -24 Let d(q) = 877*q + 6589. Calculate d(-7). 450 Let g(c) = c**3 - 168*c**2 + 842*c - 263140. Determine g(172). 20 Let z(u) = -1976*u - 148. What is z(1)? -2124 Let p(f) = 2*f**3 - 18*f**2 + 5644*f - 50798. Calculate p(9). -2 Let a(g) = -g**3 - 7*g**2 + 111*g - 76. What is a(-15)? 59 Let q(b) = 3085*b - 33789. Give q(11). 146 Let l(z) = -z**3 + 69*z**2 + 280*z - 550. Calculate l(73). -1426 Let i(z) = 2*z**3 - 298*z**2 + 295*z + 1107. What is i(148)? 959 Let c(s) = 221238*s - 16371607. What is c(74)? 5 Let t(r) = -89*r**2 + 314*r + 28. What is t(4)? -140 Let h(l) = -163*l - 37967. Calculate h(-243). 1642 Let j(s) = -s**2 + 219*s - 11592. Calculate j(92). 92 Let h(t) = -79*t**3 + 3239*t**2 - 12*t + 586. Calculate h(41). 94 Let x(n) = 4*n**3 - 23*n**2 - 2844*n + 221. Give x(-24). -67 Let m(f) = -2*f**3 + 706*f**2 + 712*f - 1403. Calculate m(354). 13 Let w(a) = 8*a**3 + 594*a**2 - 306*a + 10746. Calculate w(-75). -54 Let d(z) = z**3 - 1658*z**2 - 15009*z + 7. Give d(-9). 61 Let d(s) = -3*s**3 + 291*s**2 - 8*s + 919. Calculate d(97). 143 Let r(o) = -456*o + 6779. Give r(13). 851 Let v(f) = -4203*f - 46196. Determine v(-11). 37 Let v(t) = -162996*t + 19722502. Determine v(121). -14 Let y(x) = -4368*x - 157158. Calculate y(-36). 90 Let f(a) = -14839*a - 1810362. Determine f(-122). -4 Let p(i) = -112340*i + 5392314. Calculate p(48). -6 Let i(d) = 6*d**2 + 122*d - 502. Calculate i(4). 82 Let q(p) = p**3 + 76*p**2 - 788*p - 2078. Give q(-85). -123 Let q(n) = 19844*n - 912821. Calculate q(46). 3 Let s(t) = -t**2 - 30*t + 49501. Give s(-238). -3 Let c(f) = -f**2 - 1603*f - 27267. Determine c(-17). -305 Let b(n) = 4*n**2 - 533*n + 589. Determine b(132). -71 Let n(k) = -104*k**3 + 70*k**2 - 140*k + 4. Determine n(2). -828 Let w(k) = k**3 - 293*k**2 - 829*k - 17479. Determine w(296). -15 Let x(v) = 2*v**2 + 73*v - 8268. Calculate x(-85). -23 Let l(j) = -71*j**2 - 66*j + 134. Give l(2). -282 Let h(z) = -z**2 - 57168*z - 1885454. Determine h(-33). 1 Let m(b) = -2*b**3 - 152*b**2 - 100*b + 1590. Calculate m(-75). -2160 Let s(h) = 4*h**3 + 48*h**2 - 17*h - 23. Calculate s(-12). 181 Let h(t) = 298*t + 13803. Calculate h(-51). -1395 Let l(t) = 6*t**2 + 8637*t - 25966. Give l(3). -1 Let w(c) = 4*c**2 - 29924*c + 29925. What is w(1)? 5 Let p(w) = 8*w**3 + 104*w**2 + 42*w - 56. What is p(-1)? -2 Let g(i) = -3*i**2 + 1719*i - 15278. Determine g(9). -50 Let w(s) = s**3 - 48*s**2 + 167*s. What is w(6)? -510 Let m(t) = t**2 + 777*t - 25905. What is m(32)? -17 Let k(m) = m**2 - 16441*m - 659219. Give k(-40). 21 Let a(d) = -d**3 + 13*d**2 + 534*d - 6963. What is a(13)? -21 Let s(b) = -b**3 + 198*b**2 - 7683*b - 261. Give s(145). 29 Let a(d) = -141*d + 1181. Determine a(12). -511 Let u(m) = -m**2 - 3504*m + 95. What is u(0)? 95 Let f(h) = -h**2 + 20968*h - 1379551. Give f(66). -19 Let b(h) = 6*h**3 - 97*h**2 + 308*h - 26. Give b(3). 187 Let j(z) = -z**3 - 93*z**2 - 1866*z - 135. Give j(-64). 505 Let y(g) = 85*g**2 - 14954*g - 1067. What is y(176)? -11 Let x(w) = w**3 - 3*w**2 + 40*w - 1878. What is x(0)? -1878 Let s(b) = 3*b**2 + 3*b - 695. What is s(15)? 25 Let c(o) = -25875*o + 776634. Give c(30). 384 Let a(o) = o**3 + 45*o**2 + 791*o + 4602. Calculate a(-10). 192 Let q(c) = -73*c + 11999. Determine q(169). -338 Let d(z) = 34*z**2 + 12940*z - 5351. Give d(-381). -17 Let j(c) = -155*c**2 - 95272*c - 62632. Calculate j(-614). -4 Let d(r) = -60116*r + 360697. Give d(6). 1 Let q(w) = 4350*w - 734580. Give q(169). 570 Let n(v) = -5*v**2 - 5283*v + 21247. Calculate n(4). 35 Let x(m) = -119510*m + 238976. Determine x(2). -44 Let v(z) = -272*z - 3599. Give v(0). -3599 Let s(o) = o**3 + 240*o**2 + 834*o - 80165. Calculate s(-235). -30 Let v(i) = -i**3 - 2592*i**2 - 21010*i - 873399. What is v(-2584)? -7 Let x(m) = 2420*m + 6161. Determine x(-3). -1099 Let x(t) = 3*t**3 + 32*t**2 - 146*t - 34. Calculate x(-14). 50 Let h(y) = -633*y + 54280. What is h(86)? -158 Let u(a) = -10*a**3 - 13*a**2 + 46*a + 10. Give u(-5). 705 Let c(p) = p**3 - 2*p**2 + 1205*p - 8553. What is c(7)? 127 Let l(g) = -2*g**2 + 85*g + 158. Give l(52). -830 Let z(u) = 3*u**3 + 211*u**2 + 595*u + 22031. Give z(-69). 20 Let u(f) = 6*f**2 + 445*f + 7067. Calculate u(-23). 6 Let w(y) = 176*y**3 - 61*y**2 - 7*y. Determine w(-1). -230 Let p(g) =
{ "pile_set_name": "DM Mathematics" }
late the greatest common divisor of k and z. 8 Suppose 3*z - 5*d = -0*z + 95, 5*z - 5*d = 165. Calculate the highest common factor of z and 5. 5 Let a(z) = 4*z**2 + z - 1. Let t be a(2). Let v = 3 + 65. Suppose 6*m - 4*m - v = 0. Calculate the highest common factor of m and t. 17 Let q be (-3)/(-2)*28/3. Suppose -5*a + 11 = -q. Let p(j) = -3*j + 1. Let c be p(-3). Calculate the highest common factor of a and c. 5 Let a = -41 - -95. Let d be 26 - (-3)/(-6)*-2. Suppose 2*q = -q + d. What is the highest common factor of q and a? 9 Let u be 90 - ((-5)/(-2) - 1/2). Calculate the highest common factor of 22 and u. 22 Let h be (-9 - -11) + 0 + 2. Suppose -h*c + 0*c = -4. Let z = 19 + -8. What is the greatest common divisor of z and c? 1 Let l = -23 + 44. What is the highest common divisor of l and 3? 3 Let k be ((-4)/6 - -1)/(1/9). What is the greatest common divisor of 24 and k? 3 Suppose 3*u - 119 + 35 = 0. What is the highest common factor of 112 and u? 28 Suppose 4 = -0*h + 2*h. Calculate the greatest common divisor of 2 and h. 2 Suppose -3*a + 21 = -2*n, 3*a - 4*n = 7 + 8. Let i(s) = s**3 - 8*s**2 - 7*s - 10. Let g be i(a). What is the highest common factor of 8 and g? 8 Let w(h) = h**3 + 8*h**2 + 6*h - 4. Let m be w(-6). Suppose 0 = 2*d - 36 - 60. Calculate the highest common factor of m and d. 16 Suppose -4*f - 4*o + 180 = 0, -f + 2*f - 45 = 5*o. What is the greatest common divisor of f and 18? 9 Let k(z) = z + 4. Let m be k(5). Suppose -d - 34 = -61. What is the greatest common factor of d and m? 9 Let d(y) = 25*y - 35. Let p be d(4). Calculate the highest common factor of p and 26. 13 Let m be (-6 + 12)/((-2)/(-4)). What is the highest common divisor of m and 15? 3 Let m(v) = -3*v**2 - 5*v + 6. Let q be m(4). Let i = -42 - q. Suppose -3*k = -0*k - 12. What is the highest common divisor of k and i? 4 Let t(o) = -o**3 - 2*o**2 - 5*o + 4. Let q(a) = -a**3 + 7*a**2 - 2*a + 10. Let p be q(7). Let g be t(p). What is the greatest common factor of 14 and g? 14 Let i be 0/2 + 24/12. Let d be 6 + -7 + 5*i. What is the greatest common divisor of 1 and d? 1 Let l(u) = 9*u + 3*u - 4*u. Let s be l(1). Calculate the highest common divisor of s and 64. 8 Suppose -3*s - 450 = -9*s. Calculate the highest common divisor of s and 15. 15 Suppose -i - 5 = -3. Let n(l) = -3*l**3 - l**2 + l + 2. Let u be n(i). Let j = -36 + 66. What is the highest common divisor of j and u? 10 Let t(u) = u**2 + 48. Let i be t(0). Let l be 4/8*i*2. Calculate the highest common factor of 6 and l. 6 Suppose 3*h + 310 = -2*h + 5*d, -5*h - 292 = d. Let i = h - -104. Calculate the highest common divisor of 30 and i. 15 Let m(g) = -5*g**2 + 41*g + 66. Let a(s) = -s**2 + 8*s + 13. Let c(q) = -11*a(q) + 2*m(q). Let d be c(-7). What is the highest common factor of 8 and d? 8 Let z(w) = 2*w + 6. Let m be z(-3). Suppose 3*n - 648 = -m*n. Calculate the highest common divisor of n and 27. 27 Let i(z) = -z**3 - 7*z**2 - 3*z + 3. Let r be i(-7). What is the greatest common divisor of 240 and r? 24 Let a(z) = 14*z + 9. Let l be a(9). Suppose 0 = 3*b - 17 - 28. What is the greatest common divisor of b and l? 15 Suppose -12 = -f - 4*k, -5*f - 4*k = -5*k - 39. Let v = 9 + -1. What is the greatest common divisor of v and f? 8 Suppose -121 = 3*y + y - f, -141 = 4*y - 5*f. Let g = 43 - y. Calculate the highest common factor of g and 9. 9 Suppose -5*a = -10, -4*o + 4*a + 227 = -213. What is the greatest common divisor of 14 and o? 14 Let c(m) = m - 7. Let y be c(7). Suppose y = 4*i + i - 945. Calculate the highest common factor of i and 21. 21 Let q(r) = r**2 + 2*r - 10. Let o be q(6). Calculate the greatest common divisor of 19 and o. 19 Suppose 0 = 2*k + 3*g - 137, -2*k - 2*g = -4*g - 142. Calculate the highest common divisor of 10 and k. 10 Let h = 16 - 7. What is the highest common factor of 1 and h? 1 Suppose 0 = -4*z + 8*z - 352. Let g = z - 53. What is the highest common divisor of 7 and g? 7 Let z be 1258/8 - (-9)/12. Let t = -70 + z. Calculate the highest common factor of t and 11. 11 Let y be (7 - 2)*(-4)/5. Let b be 1/2 - 442/y. Let o be -4*(-2 - b/12). What is the greatest common divisor of o and 15? 15 Let x = -21 + 40. Let d = -1 + x. What is the highest common factor of 90 and d? 18 Let u(w) = -21*w + 9. Suppose 3*i - 4*x = -0*x - 19, -2*i - 2*x - 22 = 0. Let k be u(i). What is the greatest common factor of k and 18? 18 Suppose 0 = 8*f - 5*f - 3. Calculate the highest common factor of f and 7. 1 Let u be (574/13)/1 + (-16)/104. What is the greatest common factor of 11 and u? 11 Let f(u) = -23*u**3 - u**2 + 1. Let g be f(1). Let v = g + 35. Calculate the highest common factor of v and 132. 12 Suppose 4*p - 7*p + 19 = 4*h, 3*p - 15 = 0. Let s be (18/h)/((-3)/(-2)). Calculate the greatest common factor of s and 108. 12 Let c(g) = 81*g**2 + 2*g + 1. Let d(p) = -2*p**2 + 2*p - 1. Let s be d(1). Let u be c(s). Suppose 2*a = -2*a + u. What is the highest common divisor of a and 5? 5 Let t(h) = 2*h + 7. Let o be t(-5). Let k be -1 - o - 16/(-1). Calculate the greatest common divisor of k and 36. 18 Suppose -2*v = -5*b - 8, 3*b + 0*b = 5*v - 20. Let r be 28/v + 3 + 0. What is the greatest common factor of 25 and r? 5 Suppose 51 + 15 = 6*z. What is the greatest common divisor of 22 and z? 11 Suppose 4*i = -5*g + i + 654, -2*g - 3*i + 258 = 0. Suppose -18 - g = -5*q. Calculate the highest common factor of q and 10. 10 Let m(n) = -n**3 - 7*n**2 + n + 6. Let h be m(-7). Let p be (h + 2 + 0)*65. Let z = 35 + -9. Calculate the greatest common factor of z and p. 13 Let q be 6/((-4)/((-8)/3)). Let h(t) = t**3 - 3*t**2 - 3*t. Let z be h(q). Let s be 6*z/18*3. Calculate the highest common factor of 16 and s. 4 Let j(a) = a**3 + 7*a**2 - 4*a + 6. Let i be j(-9). Let r = i + 204. What is the highest common divisor of 12 and r? 12 Let x(v) = 18*v**2 + v + 2. Let p be x(-2). Calculate the greatest common factor of p and 24. 24 Let m be 32/18 - (-4)/18. Suppose -m*g = g. Suppose g = 2*q - 0*q - 4*o - 34, -4*o = -4*q + 60. What is the highest common factor of q and 26? 13 Let q(u) = -8*u + 6. Let g be q(-13). Suppose 0 = j + 4*j - g. Calculate the highest common divisor of 22 and j. 22 Let j be (-4)/(-8) - 31/(-2). Let w = -3 - -5. Calculate the highest common divisor of w and j. 2 Let l(p) be the second derivative of -7/2*p**2 - 5/6*p**3 + 0 - 4*p - 1/20*p**5 + 2/3*p**4. Let d be l(7). What is the highest common factor of 1 and d? 1 Let z(k) = 2*k**2 + 3*k + 2. Let d be z(-2). Suppose -92 = -d*h - 20. Let p(x) = -x**2 - 5*x + 2. Let n be p(-4). What is the highest common divisor of h and n? 6 Suppose -66 = 12*p - 498. Calculate the highest common divisor of 9 and p. 9 Let m be 2 - (0 - -3 - 2)*-6. Suppose 0 = -3*n + 3*h + 192, -2*h = -n + 31 + 33. What is the greatest common factor of m and n? 8 Let z be (-6 - 3)*2/(-2). Let o = 37 - z. What is the greatest common divisor of 42 and o? 14 Let o(x) = -x**3 + 12*x**2 - 22*x - 19. Let p be o(9). What is the highest common divisor of p and 39? 13 Let l be ((-54)/(-4))/((-85)/20 + 5). What is the greatest common factor of 6 and l? 6 Let i(v) = v - 5. Suppose 2*c - 5*d = 39, -5*c + 69 = -0*c - 3*d. Let z be i(c). Calculate the highest common divisor of z and 56. 7 Suppose 0 = -n + 2*s - 10, 2*s - s = n + 8. Let w(a) = a**2 + a - 6. Let q be w(n). Calculate the highest common factor of q and 60. 12 Suppose 2*s + 10 = 14. Calculate the greatest common divisor of s and 8. 2 Suppose l = -3*r + 66 + 25, 2*r + 5*l - 39 = 0. Suppose 0 = -2*u - 2*u + r. What is the greatest common factor of 16 and u? 8 Let c = 4 + 36. Suppose -22*u - 13*u + 175 = 0. What is the greatest common divisor of u and c? 5 Let y be (-120)/(-75) - (-4)/10. Let j = -5 + 7. Suppose -2*q = m - j, 0*m + 3*m - 3*q - 33 = 0. What is the greatest common divisor of y and m? 2 Let y(k) = 8*k + 2. Let w be y(6). Calculate the highest common factor of w and 10. 10 Let a be 2*1*12/3. Suppose 30 = 2*n + 194. Let d = -10 - n. Calculate the greatest common divisor of a and d. 8 Let k be (-2 + 2 - 0) + 32. Let g be ((-4)/(-2))/(3/(-15)). Let i = -2 - g. Calculate the greatest common divisor of i and k. 8 Let c = 17 + -7. Calculate the highest common divisor of 90 and c. 10 Suppose 4*g + 33 = 3*y - 24, 5*g = -4*y +
{ "pile_set_name": "DM Mathematics" }
- (-29 + 33) 6 (-8 - -3) + -4 - -5 - -1 -3 Evaluate -6 - -6 - -1 - (1 - 2). 2 12 + (1 - 7 - -7) - 7 6 (-58 - -65) + -4 + -1 2 4 + (-8 - 3) + 6 -1 What is the value of (2 + -2 - -4) + -7 + 2? -1 What is (-4 + 2 - 0) + (-8 - -7)? -3 What is 6 - 2 - 5 - -5? 4 What is 4 + 3 + 1 + (12 - 17)? 3 What is the value of 5 + (-1 - (-2 + (-2 - -10)))? -2 9 + -4 - -4 - 5 4 -5 - 4 - -6 - 0 -3 Calculate -4 + -1 - (-4 - 0). -1 What is the value of 2 + 1 + 2 + -3 + 3? 5 1 - 5 - (-4 - -1 - 2) 1 Evaluate (-1 - (8 + 0)) + (-73 - -78). -4 Evaluate (4 + -10 - -1) + -4. -9 3 - (8 + -3) - (-6 - 0) 4 What is the value of 3 + -1 - 3 - -3? 2 What is the value of 8 + 10 + -12 - 9? -3 Evaluate 5 + -5 + (-2 - -2) + 1. 1 What is the value of (-9 + -5 + 9 - -1) + 0? -4 What is the value of 0 + 3 + -8 + 1? -4 What is the value of -1 + -9 + (18 - 10)? -2 What is the value of 1 + -1 + (-1 - (-4 - 0))? 3 Evaluate (-37 - -41) + (0 - -3 - 1). 6 Evaluate -5 + 11 + -5 - 0. 1 What is 0 + (4 - (6 - (5 + 2)))? 5 What is -1 - (0 + -1) - (-114 - -120)? -6 Calculate (2 - 4) + (-2 - -4) + -1. -1 0 - (1 + 1 - (3 - 0)) 1 What is the value of -2 + (2 - -1) + -1? 0 What is -6 + 9 + -8 - -6? 1 What is the value of (-2 - -3) + 0 - (59 - 60)? 2 -13 + 4 + -1 + 4 - -4 -2 What is (-1 - (2 - 3)) + -2 - 3? -5 Calculate (0 - -5) + -5 + 0 + -6. -6 What is 2 - (-8 + -8 + 11)? 7 Evaluate 2 + -3 + -2 - (2 + -1). -4 Calculate 105 + -105 + -1 + -6. -7 Evaluate -3 - (3 - (-4 + 0 + 9)). -1 -6 + (-11 - -11 - -4) -2 Evaluate 4 + (-4 - -6) - 2. 4 Evaluate -3 + (4 - (1 + 0)). 0 What is (182 - 172) + -15 + -1? -6 What is 0 - (13 - 7) - -13? 7 What is the value of 13 + -10 + (2 - (-1 + 3))? 3 What is -1 - (4 + 2 + (-1 - 0))? -6 What is the value of -7 + 2 - ((-7 - 1) + 0)? 3 What is 4 + -1 + (6 - (3 - 0))? 6 What is 3 - (0 - (-2 + 4))? 5 3 - 5 - (21 + -16) -7 What is the value of -417 + 415 + 0 + -1 + 6? 3 What is the value of -2 + -9 + 7 - -8? 4 Calculate -11 + 16 + 0 + -11. -6 Calculate -2 - (7 - (2 - -1 - 0)). -6 Evaluate (1 - -2) + (1 - -1) - 0. 5 Evaluate (-10 - -25 - 4) + -6. 5 Calculate -8 + 4 + 1 - -10. 7 Calculate 5 + (6 - (21 + -11)). 1 What is the value of 1 - ((-6 - -7) + -2)? 2 0 + 0 + (-1 - (-2 - 2)) 3 Evaluate (-18 - -13) + (2 - 0 - 1). -4 What is the value of (-3 - (4 - 3)) + 3? -1 Evaluate -6 - -9 - 6 - (0 + -3). 0 What is -2 + 0 + 1 + 6 + -8? -3 2 + -1 - (-6 - -12) -5 Evaluate (2 - (2 + -4)) + -3. 1 -9 + 0 - (4 - (-10 + 18)) -5 What is the value of (-4 - -3) + -1 + -2 + 4? 0 What is 6 + (-7 - (-6 + 9))? -4 Evaluate (-23 - -30) + (-4 - 0). 3 What is the value of -53 + 45 + (1 - -3) + 2? -2 Evaluate 7 + (6 - 13) + (5 - 2). 3 What is (-1 + 2 - 5) + -30 + 31? -3 -5 - 9 - -9 - (-2 - 1) -2 Evaluate (5 - -1 - -3) + -4. 5 Calculate (0 - -6) + (-5 - -14 - 11). 4 Calculate 2 + -6 + -6 + 12. 2 Calculate -1 - (2 - (1 + -2)). -4 Evaluate (-7 - -21) + 2 + -6. 10 What is -8 - 1 - (12 - 17)? -4 Evaluate 0 - (-2 + 4) - (2 + -6). 2 -7 + (-5 - 0 - -9) -3 What is the value of -4 + (5 - (0 + 4)) + 8? 5 What is the value of -13 + 14 + (1 - 0) - 2? 0 Calculate 4 + (-5 - -4) + -9. -6 What is -7 + 5 + -7 - -8? -1 What is the value of -1 - (6 + -2 + -2)? -3 Evaluate 2 - -17 - (3 + -1 + 7). 10 Calculate -2 + (-1 - -1) - 2. -4 Evaluate (5 - -2 - 1) + -11 + 5. 0 -14 - (-8 + 8 + -8) -6 Calculate -2 + 8 + (16 - 22). 0 What is the value of 0 - (-5 + 7) - 3? -5 What is -2 + 4 + -2 + -2? -2 What is the value of (4 - (-4 + 11)) + -1 + -2? -6 What is 6 - (-1 + (-6 - -17))? -4 What is (0 - 0) + -28 + 30 + -10? -8 What is 3 + (5 - 8) + 0 + 0? 0 Calculate 5 + -15 + (0 - (-3 + -1)). -6 Evaluate (-4 - (3 - 4) - -1) + 5. 3 What is 11 + (-6 - (7 + -7))? 5 What is (-6 - -3) + (1 - -4) - 1? 1 6 - (1 + 1 + 4) 0 Calculate 1 - (-3 + 7) - -9. 6 -3 + (2 - 1 - (-26 + 28)) -4 What is the value of 9 - (1 + -3 + 1 - -5)? 5 What is (7 - (9 - 4)) + -1? 1 Evaluate 0 + (0 - (-5 + 9)) - -7. 3 Calculate 0 + (-3 - -5) + -1. 1 Evaluate 5 + (-1 - 2) + 0. 2 Calculate (-56 - -53) + 1 + 6. 4 Calculate (-21 - -11) + 10 + 8. 8 Calculate 3 - 3 - (-8 - -7). 1 Evaluate (3 - (-6 - -3)) + -1 + -3. 2 Evaluate (2 - -1) + 0 - 3. 0 What is the value of 0 + 4 + (-90 - -98) - 2? 10 Evaluate -6 - (5 - 5 - 5). -1 Evaluate 11 - ((-12 - -21) + (1 - 4)). 5 Evaluate 3 + -3 + 2 + (-5 - -3). 0 -5 + (10 - (5 + -2)) 2 Evaluate -1 + -1 + 6 - (13 + -9). 0 3 - -23 - 22 - (6 + 1) -3 What is the value of -6 + 8 + 4 + -6? 0 (4 - (0 + (-2 - -4))) + -1 1 Calculate (0 - 7 - 1) + (4 - 3). -7 5 - ((1 - 1) + 2) 3 What is 7 + 10 + -5 - 5? 7 Calculate 3 - (-5 - -6 - -8 - -2). -8 What is the value of 11 + 1 - (11 + -3)? 4 What is 4 + (5 - (-6 + 13))? 2 What is (3 - 0) + 10 + -13 + -5? -5 What is the value of 3 - (1 - 2) - (11 + -6)? -1 What is the value of (-5 - -2) + 2 + -6? -7 Calculate -5 + 8 + (-3 - (6 + -7)). 1 What is -2 + (2 - (2 + 2))? -4 Calculate (9 - 3) + (38 - 39). 5 Calculate 4 + 1 + (-4 - 0). 1 Calculate 6 + -2 + (-4 - -5). 5 Calculate -1 + (0 - 3) + 31 + -17. 10 Evaluate (-14 - -18) + (-1 - 2). 1 Calculate -2 + 8 + (-2 - (4 + -1)). 1 What is the value of 0 + 5 + (-21 - -18)? 2 (9 - 23) + (11 - -4) 1 What is -2 + -5 + 6 - 0? -1 Evaluate (-1 - -3) + 0 - 5 - -9. 6 16 + -21 + 22 - (7 + 1) 9 What is 0 + (-1 - (-4 + 3))? 0 -6 + 0 + (-18 - -25) + 1 2 What is the value of -1 - 9 - (-4 + (-5 - -8))? -9 (2 - -6) + 1 + -1 8 What is 1 + 0 - (0 + -4 + 5)? 0 What is the value of 2 + -2 + -1 + -1? -2 Calculate 0 + 1 - 0 - (420 - 421). 2 Calculate -25 + 19 + (-1 - -3). -4 Calculate 1 + -6 + -37 + 39. -3 -15 + 11 + 23 - (9 - 1) 11 What is the value of -3 - 3 - (-8 - (4 - 0))? 6 Calculate 57 + -51 + (-3 - (1 + -1)). 3 What is 7 - (1 + (4 - 4) - -2)? 4 -8 - 3 - (-3 + 0) -8 Evaluate (-47 - -48) + -1 + 2 + -1. 1 Calculate (10 - 7) + (-5 - -2). 0 4 + -20 + 19 + -1 + -1 1 Calculate -3 + 5 + -3 + 5. 4 Evaluate 4 + 2 + 0 + -3. 3 Calculate (-1 - -4 - 3) + -1 - 4. -5 Evaluate 4 - -1 - (-3 + (1 - 0)). 7 8 - (-8 - (-3 - 8)) 5 Calculate -56 + 49 - (2 + -7). -2 (10 - 17 - (1 - 2)) + 5 -1 Evaluate 1 + 1 + -11 - (-11 + 7). -5 What is -47 - -53 - (9 + 0)? -3 Evaluate -5 - (3 + (-4 - -5 - 12)). 3 Calculate 12 + (0 - (9 + -4)). 7 What is the value of 7 + -1 + (-6 - 8 - -9)? 1 What is the value of 6 - 0 - (14 - 13)? 5 (-1 - 0) + (0 - (-13 - -14)) -2 Evaluate -19 + 15 - (-2 + 0 + -2). 0 What is 0 + (-2 - 3) - -12? 7 What is -1 + -1 + 6 - 7? -3 -15 + -11 + (19 - -2) -5 Calculate -3 - (-2 - (-3 + 4 - 5)). -5 Calculate 0 + -2 - (-36 + 35). -1 Calculate -2 - -5 - (0 + 2 + -1). 2 What is the value of -10 - (0 + (-9 - -6))? -7 What is the value of 9 + 7 + -16 - -5? 5 Calculate 2 - (5 - -5) - 7 - -4. -11 Calculate -3 - 1 - (-15 - -11). 0 What is the value of 22 + 11 + -36 - (-1 - -5)? -7 What is the value of -3 - 0 - 4 - -2? -5 Calculate (2 - 1 - -3) + (-9 - -6). 1 Calculate (-9 - -3) + -5 + 5 + 2. -4 What is the value of (7 - 10) + (-1 + 0 - -1)? -3 What is the value of -12 - (3 + 10 + -17)? -8 What is the value of -7 + 7 + (3 - 0) + 0? 3 What is (-6 - -5) + (1 - 3) + 3? 0 What is the value of 8 - (4 + (-4 - -5))? 3 What is the value of -3 + 6 + -2 + 1 + 0? 2 8 - (16 + -4 + (16 - 18)) -2 What is the value of -2 - 7 - (-17 - -5)? 3 -5 + 7 + 1 + -3 0 What is 3 + 3 + (1 - 8) + -1? -2 Calculate -5 + (6 + 0 + -8 - 0). -7 6 + 1 + (40 - 52) -5 Calculate 6 + -1 + (6 - (11 - 6)). 6 Calculate 1 - 2 - (-6 + (12 - 6)). -1 Calculate -14 - (-1 + -11) - 4. -6 What is the value of -4 + -1 - (-11 - -10)? -4 Evaluate 2 + (-3 - 2 - (-2 - -3)). -4 Calculate -7 + 1 - (-10 - 1). 5 What is the value of 0 - 4 - (-3 + 4)? -5 What is (-3 - -10) + -9 + 4? 2 1 + 0 + 4 - (5 + -2) 2 Calculate 0 - (7 - (18 - 5)). 6 Calculate 14 + -1 - (-19 - -28). 4 Calculate -9 + 10 + -3 + 1. -1 What is the value of 9 + -8 - (-3 - -1)? 3 What is -5 - (-7 + -4 + 3)? 3 Evaluate -5 + -1 + 1 - -5. 0 What is (-1 - 1) + (6 - 8) + 5? 1 -7 + -6 + 9 - -8 - -2 6 Calculate -4 + -10 + 6 + 10. 2 Evaluate (1 + 1 - 4) + 0. -2 8 + (-1 - (0 + 3)) + -7 -3 What is (0 - 0) + -2 + (-6 - -6)? -2 Calculate (0 - -2) + (-1 - 14) + 11. -2 Calculate 1 + 5 + (-4 - (2 + -5)). 5 What is the value of (-1 - -9 - 1) + -162 + 146? -9 Calculate -136 + 144 + -16 + -1. -9 What is (-3 - (-2 + 2)) + (0 - -1)? -2 Evaluate -2 + 5 + (7 - 8). 2 Evaluate 7 + 4 - (3 + -1 + 4). 5 What is -5 + (-4 + 3 - -10) + -1? 3
{ "pile_set_name": "DM Mathematics" }
40*n + 54*n + 477*n). 1713*n Expand (5*f + 2*f**2 - 5*f)*(-3*f**3 + 2*f**3 + 2*f**3) + (13*f + 650*f**2 + 4*f**3 - 650*f**2)*(-12 - 274*f**2 + 273*f**2 - 26). -2*f**5 - 165*f**3 - 494*f Expand ((-1 + 1 - y)*(3 - 1 - 4) - 2*y + 4*y + 0*y)*(-410239*y**2 + 188 + 410237*y**2 + 450). -8*y**3 + 2552*y Expand (-2*v**3 - 2*v**3 + 3*v**3)*(921*v - 2830*v - 6448*v). 8357*v**4 Expand (8537 + 5826*k - 17099 + 8562)*(-k**3 + k**3 - 2*k**3). -11652*k**4 Expand (-3*u**3 + 0*u**3 + u**3)*(-52*u + 39*u + 36*u) + 3*u**4 + 5*u**4 + 16*u**4. -22*u**4 Expand 104 + 38*h - 88 + 16*h + (2*h - 3*h + 3*h)*(2 - 1 + 0). 56*h + 16 Expand -3*o**2 + 132*o - 6 - 212*o + 81*o - 12*o**2 + (2 + 3 - 3)*(1 + 2*o**2 - 1). -11*o**2 + o - 6 Expand 5238 - 5238 + 71*s - 3*s + 3*s + 2*s + (3 - 2 + 0)*(1 - 1 + s) + 3*s + 4*s - 6*s + 1 + 4*s - 6*s + s. 74*s + 1 Expand ((v - 2 + 2)*(1 + 0 - 3) + 2854 + 24*v - 2854)*((-2 + 2 - v)*(-2*v**2 + v**2 - v**2)*(2 - 1 - 2) - 194*v**3 - 245*v**3 + 512*v**3). 1562*v**4 Expand -6*d + 6*d + 8*d + 2*d + 0*d - d + (-2 + 0 + 0)*(-4*d + 5*d - 2*d) + 0*d - 2*d - d. 8*d Expand -30*c**4 - 67*c**4 - 14*c**4 + (-3*c**3 - c**3 + 11*c**3)*(c - 4*c + c). -125*c**4 Expand (250*r**2 + 85*r**2 + 1691 + 1734 + 8*r - 3422)*(0*r**3 + 2*r**3 - r**3). 335*r**5 + 8*r**4 + 3*r**3 Expand (-153*t**3 - 315*t**3 + 338*t**3 + (3*t**2 - 3*t**2 - 2*t**2)*(1 + t - 1))*(4*t**2 - 4*t**2 - t**2). 132*t**5 Expand (2*g**4 + 0*g**4 + 0*g**4)*(4*g - 2*g + 0*g) + 4*g**4 - 4*g**4 - 2*g**5 + 5*g**5 + 9*g**5 - 6*g**5 - 382*g**2 + 7*g**5 + 380*g**2 + 5*g**5. 22*g**5 - 2*g**2 Expand (-10329*d - 220470 - 220480 + 440950)*(-2*d**2 + 6 - 6). 20658*d**3 Expand -33*o - 35*o + 42 + 70*o + (-4 + 5 + 1)*(2*o - 4*o - o) + (2*o + 2*o - 2*o)*(0 - 1 - 1). -8*o + 42 Expand (-81*n - 73*n - 50*n)*(-4 + 0 + 6 + 4 - 1 - 4 - 3 - 1 + 2 + (0 + 0 + 2)*(1 - 2 + 3) + 3 - 4 - 1). -204*n Expand ((w - 2*w + 4*w)*(4*w - 4*w - 2*w**2) - 4*w**3 - 5*w**3 + 12*w**3)*(-7*w**2 + 4*w - 4*w)*(-1 + 0 - 1)*(2 - 1 + 2). -126*w**5 Expand (4*c - c - 4*c)*(50 + 223 + 456). -729*c Expand (-3*j - 43 - 296 + 29)*(12 - 12 - 3*j**2). 9*j**3 + 930*j**2 Expand 8*a + 6*a - 3*a + (-a + 3*a - a)*(-12 - 3 - 10). -14*a Expand -130*b**3 + 1475 - 1475 + (-2*b**2 + 4*b**2 + b**2)*(6*b - b + b) + 4*b + b**3 - 4*b + (3 + 2 - 3)*(-3*b**3 - b**3 + 5*b**3) + 2 + b**3 - 2. -108*b**3 Expand (9 - 2*w - 9 + (-2 + 5 - 1)*(-4*w - 3*w + 5*w))*(-3 + 2 - 10) + 5*w - 7*w + 13*w. 77*w Expand (190 - 190 - 22*c)*(-39*c + 56*c + 25*c)*(9*c - 9*c + 4*c**2). -3696*c**4 Expand (n**2 - 1583 - 938 - 92)*(2*n - n + 0*n). n**3 - 2613*n Expand (4 - 3 - 3)*(-4*a - 2*a + 2*a) + 3 - 3*a - 3 + (-1 + 1 + 2*a)*(2 - 4 + 0) + 3 - 2*a - 3 - 25*a + 9 - 9. -26*a Expand -5*n**2 + 0*n**2 + 4*n**2 + (-24 - 105 + 30)*(8 - 3*n**2 + 0*n**2 - 10). 296*n**2 + 198 Expand (-3 + 5 - 1)*(5*v + 0*v - 8*v + (0 + 0 - 3)*(-v + v + v) - 36*v + 0*v + 9*v + 0*v + 2*v + 0*v + 0*v + 3*v - v + 1 + (-1 + 4 - 4)*(-v - v + 3*v)). -30*v + 1 Expand (9*m - 8*m - 38*m)*(70*m + 49*m + 96 - 98). -4403*m**2 + 74*m Expand (-a**2 + 1 - 1)*(-3*a - 2*a + 6*a) + 552*a**2 - 577*a**2 - 11*a**3 - 23*a**3. -35*a**3 - 25*a**2 Expand (3 - 1 - 1)*(w**5 + 0*w + 0*w) + 0 + 0 + w**5 + (4*w**2 - 3*w**2 + 12*w**2)*(-953*w**3 + 1793*w**3 - 963*w**3). -1597*w**5 Expand (-5*b - 12*b - 13*b)*(-29*b**2 + 80*b**2 - 29*b**2). -660*b**3 Expand (-3 - 2 + 0)*(85 - 85 - 22*b)*(5 + 2 - 6)*(17*b**2 - 7*b**2 - 5*b**2). 550*b**3 Expand -3*l + 3*l - 2*l**3 + (-2*l + 3 - 3)*(5 - 5 - 2*l**2) + 0*l + 2*l**3 + 0*l - 2647*l**3 - 2109*l**3 + 5954*l**3. 1202*l**3 Expand (-2 + 2 - 2*x)*(0 + 2 - 3)*(4 + 2 - 3)*(1 + 0 + 0)*(-20*x + 353*x + 13*x). 2076*x**2 Expand 156 - 8*h - 156 + (2 + 7 + 2)*((-1 + 1 + 1)*(-4*h + 3*h + 3*h) - 2 - 4*h + 2). -30*h Expand ((-5 + 2 + 4)*(0*a**2 - 2*a**2 + 0*a**2) + 393*a**2 - 71*a**2 + 456*a**2)*(-4*a - 4*a + 4*a + 2*a**3). 1552*a**5 - 3104*a**3 Expand 4*r - 5*r + 2*r + 1 - 1 - 2*r + (0*r - r + 2*r)*(-3 + 1 + 1) + 74*r - 96*r + 248*r + 2*r - 3 - 2 + 0*r. 226*r - 5 Expand (-4*f + 3*f + 0*f)*(0*f**4 + 0*f**4 - f**4 + (f - 2*f**2 - f)*(2*f**2 + 0*f**2 + 0*f**2) - 126*f**4 + 50076*f**2 - 50076*f**2). 131*f**5 Expand -2*k**5 + 5*k**5 - 4*k**5 + (-87*k**3 - 73*k**3 + 189*k**3)*(0*k**2 - 3*k**2 + 2*k**2 - k**2 + 3*k - 3*k + (3 + 2 - 3)*(4*k - 4*k - 2*k**2)). -175*k**5 Expand (-90 - 150 + 40)*(-47*r - 33*r + 55*r). 5000*r Expand (-n + 3*n - 2863 + 2829)*(4 - 3 - 4). -6*n + 102 Expand t**5 - 2*t**2 + 2*t**2 + (0*t - 2*t + 3*t)*(4794*t**4 - 1107406*t**2 + 18867*t**4 + 1107406*t**2). 23662*t**5 Expand -1342 + 1342 - 4250*t + (2 + 0 + 0)*(2 - 2 + 2*t). -4246*t Expand (-1 + 1 - 2*x)*(-6*x + 8*x + 9*x + (3 + x - 3)*(3 - 7 + 0))*(3*x + 3*x + 5*x) - 23*x + 6*x**3 + 23*x. -148*x**3 Expand (-181*d - 27680 + 27680 + (3 - 4 + 0)*(5*d - 2*d - 4*d) + 4*d - 4*d + 2*d)*(0*d**4 - 3*d**4 + 2*d**4). 178*d**5 Expand 1 - 1 - u + u + 0*u + u + (u - 4*u + u)*(4 - 3 + 2) + 2*u - 7 + 7 + 3 + 84*u - 168*u + 78*u. -9*u + 3 Expand (-q**4 + q**4 + 2*q**4 + (q - q - 4*q**2)*(-5*q - 3*q**2 + 5*q))*(13 + 1 + 49). 882*q**4 Expand -240*f + 938*f + 1522*f + (-1 + 3 - 3)*(-f - 2 + 2) + 3*f - 2 + 2. 2224*f Expand 407*r**5 + 10*r**3 - 400*r**5 + 8*r**3 + (-4 + 4 + r)*(-4 + 4 - r**4) + 4*r**5 - 5*r**2 + 5*r**2. 10*r**5 + 18*r**3 Expand ((2*c + 3*c - 6*c)*(-1 - 2 + 1) + (0 - 3 + 5)*(5 + 3 + 9)*(-63 + 130 - 65 - 28*c))*(0 + 0 - c). 950*c**2 - 68*c Expand (-2*v - 4 + 0*v + v)*(234*v**2 - 27526 - 881*v**2 + 27526). 647*v**3 + 2588*v**2 Expand d**5 + 2*d**4 - 10*d**5 + 3*d**5 + (20*d + 24*d - 15*d)*(-4*d**4 + 0*d**4 + 2*d**4). -64*d**5 + 2*d**4 Expand (4942*j**4 - 9284*j**4 + 5098*j**4)*(0 + 8 + 3). 8316*j**4 Expand 20*a**5 - 6252577 - 268*a**3 + 6252577 - a**5 + a - a + (a + a**2 - a)*(3*a**3 - 5*a**3 - 3*a**3). 14*a**5 - 268*a**3 Expand (124*r**3 - 274*r**3 + 120*r**3)*(-3*r - r**2 - 3*r + r)*(1 + 2 + 1). 120*r**5 + 600*r**4 Expand (-3 + 5 + 0)*(3 - 3*u - 3 + (27 + 19 + 45)*(3*u + 2*u - 4*u) + 2*u - 5*u + 5*u). 180*u Expand (-5*h - 33*h**2 + 33*h**2 - 4*h**3)*(101*h**2 - 55*h**2 - 47*h**2 + 142). 4*h**5 - 563*h**3 - 710*h Expand -2*s - 2*s**2 + 2*s + (4*s - 3*s + 0*s)*(2 - 2 + s) + 233*s**2 + 5112*s**2 + 3294*s**2 - 3273*s**2 + 3866*s**2. 9231*s**2 Expand (-10990*b**2 - 7651623*b + 7651623*b)*(-3*b + 4*b + b). -21980*b**3 Expand (40*x + 21*x - 41*x)*(-2*x**2 + 34 - 4*x**2 - 17) + x**3 + 3*x**3 - 6*x**3. -122*x**3 + 340*x Expand (4 - 31*p - 4)*(-3 - 8*p + 10*p + 1). -62*p**2 + 62*p Expand (-14 + 77 - 7*z - 37)*(-3 + 1 + 0 + (-2 + 3 - 2)*(0 - 1 + 2))*(3 + 1 - 6). -42*z + 156 Expand (139*a**4 - 222*a + 222*a)*(2 - 1 + 0) + 13*a**4 + 4*a**4 + 0*a**4 + (-a**2 + 2*a**2 - 3*a**2)*(a - a - a**2). 158*a**4 Expand (3*c - 5*c + c)*(7 + 5 - 29) + 1 - 2*c - 1 + (-6*c + 5*c + 0*c)*(2 + 3 - 1). 11*c Expand -y**3 + 9745*y - 3381*y - 4436*y + (1 - 2*y + 3*y + 0*y)*(-3*y + 3*y + 2*y**2). y**3 + 2*y**2 + 1928*y Expand (4*c**3 + 2*c**3 - 5*c**3 + (-2*c + 0*c + 4*c)*(c + 2*c**2 - c))*(-1038*c**2 + 2694 - 2694). -5190*c**5 Expand (3*f + 2*f + 0*f)*(-1 + 0 - 2)*(147*f + 90*f - 304*f). 1005*f**2 Expand (0*f**3 - 2*f**3 + 0*f**3)*(-21*f + 40*f + 70*f) + 0*f**4 + 0*f**4 - 4*f**4. -182*f**4 Expand (2*s**2 + 0 + 0)*(-4*s**2 + 4*s**2 + s**3) + 3*s**5 + s**5 + 0*s**5 + (9*s**4 + 15*s**4 + 22*s**4)*(-s - s + 0*s). -86*s**5 Expand (-7*q + 5*q + 3*q)*(-4 - 2*q + 4)*(-2*q + 183 - 228 - 242). 4*q**3 + 574*q**2 Expand 0*i**2 + 5*i**2 - 2*i**2 + (0 + 0 + i**2)*(0 - 6 + 4) + (-124 + i**2 + 124 - 8*i)*(-2 + 2 + 1). 2*i**2 - 8*i Expand (-5*h - 2*h + 2*h)*(-5202*h**2 + 123 + 17840*h**2 - 123). -63190*h**3 Expand 67*n**3 - 42*n**3 - 880*n**3 + (0*n + n**2 + 0*n)*(-2*n + 0*n + 3*n). -854*n**3 Expand d + 2*d**5 - d + 16*d**5 - 40*d**5 + 57*d**5 + (0*d**2 + 0*d**2 - d**5)*(-5 + 1 + 5) + (-3*d**3 - 5*d**3 + d**3)*(3*d**2 - 1 + 1). 13*d**5 Expand (11 - 2 - 5)*(7*z**2 - 7*z**2 + 13*z**2)*(-z**2 + 0*z**2 + 7*z**2). 312*z**4 Expand (-2 - 3 + 2)*(-250*q + 246*q - 226*q - 197*q). 1281*q Expand (2*x - 2 + 2)*(6 + 1 - 4 - 10*x) - 4 - 23 - 113*x**2 + 114*x**2. -19*x**2 + 6*x - 27 Expand (-567*i**2 - i**3 + 567*i**2)*(-13*i**2 + 8*i**2 + 37*i**2). -32*i**5 Expand (282*i - 140*i - 135*i + 2*i**4 + 8*i**3)*((-2 - 1 + 1)*(0 + 0 - 2*i) - 5 + 5 - 3*i). 2*i**5 + 8*i**4 + 7*i**2 Expand (1 - 2 + 0)*(-5*c - 2*c + 4*c)*(49*c**3 + 46*c**3
{ "pile_set_name": "DM Mathematics" }
n factor of 299 and 280048. 23 What is the greatest common divisor of 529670 and 20? 10 Calculate the highest common factor of 16 and 17912. 8 What is the highest common divisor of 2463 and 313622? 821 Calculate the greatest common divisor of 102990 and 60. 30 Calculate the highest common divisor of 73 and 47669. 73 Calculate the highest common divisor of 220056 and 848. 424 What is the highest common divisor of 16282 and 28? 14 Calculate the highest common factor of 52200 and 96. 24 What is the highest common factor of 4654 and 286? 26 Calculate the highest common divisor of 165 and 884840. 55 Calculate the highest common divisor of 805 and 175. 35 What is the highest common divisor of 6741 and 535? 107 Calculate the highest common factor of 55608 and 2352. 168 Calculate the greatest common divisor of 2542 and 572074. 62 What is the highest common factor of 3160 and 266440? 40 Calculate the greatest common divisor of 452525 and 50. 25 Calculate the highest common factor of 4610 and 33653. 461 What is the greatest common divisor of 529 and 15913378? 529 Calculate the highest common divisor of 924 and 3212. 44 Calculate the greatest common divisor of 34830 and 559. 43 What is the highest common divisor of 692719 and 177? 59 What is the highest common divisor of 116561 and 9671? 509 Calculate the highest common factor of 128710 and 61. 61 Calculate the highest common factor of 34 and 399024. 34 Calculate the greatest common factor of 16 and 69096. 8 Calculate the greatest common divisor of 804627 and 1377. 459 What is the highest common divisor of 1920 and 1700? 20 Calculate the greatest common factor of 2532 and 30852. 12 What is the highest common divisor of 855 and 2223? 171 What is the greatest common factor of 14064 and 240? 48 Calculate the greatest common factor of 629 and 10013. 17 What is the greatest common divisor of 4 and 733948? 4 Calculate the greatest common divisor of 300884 and 74. 74 Calculate the greatest common divisor of 15535 and 52. 13 Calculate the greatest common divisor of 7744 and 1216. 64 What is the highest common factor of 28795 and 910? 65 Calculate the highest common factor of 217 and 46858. 7 What is the greatest common divisor of 1481376 and 52? 52 Calculate the greatest common divisor of 1240 and 573500. 620 Calculate the highest common factor of 329 and 17531. 47 Calculate the greatest common divisor of 22852 and 1508. 116 Calculate the greatest common divisor of 2496 and 1326. 78 Calculate the greatest common factor of 20 and 125708. 4 What is the highest common factor of 2298 and 12102? 6 Calculate the highest common divisor of 713362 and 26. 26 Calculate the highest common divisor of 14148 and 252. 36 What is the highest common divisor of 78 and 349011? 39 Calculate the greatest common divisor of 52305 and 1540. 55 What is the greatest common factor of 92080 and 80? 80 Calculate the highest common divisor of 118944 and 126. 126 What is the highest common factor of 195 and 37095? 15 What is the highest common divisor of 265907 and 154953? 1913 Calculate the highest common divisor of 78997 and 985. 197 What is the highest common factor of 516 and 10236? 12 Calculate the highest common divisor of 473 and 1845173. 473 Calculate the highest common divisor of 294 and 45444. 42 What is the greatest common factor of 4164 and 9684? 12 Calculate the highest common factor of 34783 and 7. 7 What is the highest common factor of 11394 and 54? 54 Calculate the greatest common factor of 1161375 and 1467. 489 Calculate the highest common divisor of 10380 and 30102. 1038 What is the highest common factor of 139086 and 6? 6 What is the greatest common factor of 30296 and 224? 56 Calculate the highest common divisor of 329096 and 310. 62 What is the greatest common factor of 1035944 and 196? 28 Calculate the greatest common factor of 143 and 32373. 11 What is the highest common divisor of 8175 and 43785? 15 What is the highest common divisor of 81 and 1649862? 27 What is the highest common factor of 40 and 63815? 5 What is the highest common divisor of 32 and 47168? 32 Calculate the highest common divisor of 22 and 114334. 22 What is the greatest common factor of 468 and 6876? 36 What is the greatest common factor of 42185 and 3? 1 What is the greatest common factor of 55 and 112640? 55 What is the greatest common divisor of 17919 and 20394? 99 Calculate the greatest common divisor of 847 and 9878. 11 Calculate the highest common divisor of 100 and 5350. 50 What is the greatest common factor of 9702 and 350154? 882 Calculate the highest common divisor of 788382 and 56. 14 Calculate the highest common divisor of 2816 and 19624. 88 What is the greatest common divisor of 19355 and 1505? 35 Calculate the highest common factor of 6328 and 50172. 452 What is the highest common divisor of 1 and 447211? 1 Calculate the greatest common factor of 16 and 22696. 8 What is the highest common factor of 72 and 97992? 72 What is the highest common divisor of 82 and 7884136? 82 Calculate the greatest common divisor of 8122 and 62. 62 Calculate the greatest common factor of 42 and 747222. 42 What is the highest common factor of 184 and 131? 1 What is the highest common divisor of 296738 and 1582? 226 What is the greatest common factor of 78 and 379860? 78 Calculate the highest common factor of 234 and 1299978. 18 What is the highest common factor of 19459 and 37642? 319 What is the greatest common factor of 58968 and 532? 28 What is the greatest common divisor of 65354 and 328? 82 What is the greatest common factor of 785150 and 383? 383 What is the greatest common divisor of 783047 and 19? 19 Calculate the greatest common factor of 270 and 751005. 135 Calculate the highest common divisor of 16436 and 532. 28 What is the greatest common divisor of 604117 and 2723? 389 What is the greatest common factor of 264 and 2776? 8 What is the greatest common divisor of 218042 and 11? 11 What is the greatest common factor of 956233 and 272? 17 What is the greatest common divisor of 10 and 11036630? 10 Calculate the highest common factor of 10 and 3590090. 10 Calculate the highest common divisor of 2363 and 13447. 17 What is the greatest common factor of 235 and 98183? 47 Calculate the greatest common divisor of 192241 and 58. 29 What is the highest common factor of 139 and 63? 1 What is the greatest common factor of 1430 and 43978? 22 Calculate the greatest common factor of 18532 and 779. 41 What is the highest common divisor of 90 and 642570? 30 Calculate the highest common divisor of 1665 and 3405. 15 What is the greatest common factor of 14278 and 3498? 22 Calculate the greatest common factor of 175 and 272925. 25 What is the highest common divisor of 75 and 512475? 75 What is the greatest common factor of 234680 and 30? 10 What is the highest common divisor of 107 and 290077? 107 Calculate the highest common factor of 362 and 114. 2 What is the highest common divisor of 6953 and 135379? 409 Calculate the highest common divisor of 196596 and 3556. 508 Calculate the highest common divisor of 203896 and 3696. 616 Calculate the highest common factor of 453411 and 675. 27 What is the greatest common divisor of 667601 and 6028? 1507 What is the highest common divisor of 582 and 47256? 6 What is the highest common factor of 89985 and 21? 21 Calculate the greatest common divisor of 273 and 74685. 39 Calculate the highest common factor of 18550 and 98. 14 What is the highest common divisor of 200 and 5224? 8 Calculate the highest common divisor of 74256 and 6258. 42 Calculate the highest common factor of 26 and 1229618. 26 Calculate the highest common factor of 82717 and 5941. 457 Calculate the highest common divisor of 630 and 147042. 126 What is the greatest common divisor of 4404628 and 148? 148 What is the greatest common factor of 378852 and 132? 12 Calculate the greatest common factor of 190 and 1613765. 95 Calculate the highest common divisor of 448 and 610848. 224 What is the highest common factor of 917678 and 556? 278 Calculate the highest common divisor of 353885 and 14. 7 Calculate the highest common divisor of 53708 and 29. 29 Calculate the greatest common divisor of 33 and 15895. 11 Calculate the greatest common factor of 183579 and 11. 11 C
{ "pile_set_name": "DM Mathematics" }
ing order. 0, 61/684, 0.4 Sort -3, 1.8, -810, -7, 3. -810, -7, -3, 1.8, 3 Sort -2/3, 63, 5/2, 0.021, -9/5 in descending order. 63, 5/2, 0.021, -2/3, -9/5 Sort 214918, -3, 19. -3, 19, 214918 Sort 9, -4, 4, -11, 15, 175, -3 in decreasing order. 175, 15, 9, 4, -3, -4, -11 Put -4, -52683, 3, -82, -7 in descending order. 3, -4, -7, -82, -52683 Sort 3/19, 133, 1/12 in descending order. 133, 3/19, 1/12 Sort -2, 1478, -1058 in decreasing order. 1478, -2, -1058 Put -5.9, -5/36299, 0 in ascending order. -5.9, -5/36299, 0 Put 78598, 4/9, -159 in increasing order. -159, 4/9, 78598 Put -17, 1, -0.69, 4, -0.9 in descending order. 4, 1, -0.69, -0.9, -17 Sort 44, -22139, -5, -0.5 in decreasing order. 44, -0.5, -5, -22139 Sort 0.2, 1644731, 0.8, 1/2 in decreasing order. 1644731, 0.8, 1/2, 0.2 Put 2/297, -1, -0.2, -169/11 in descending order. 2/297, -0.2, -1, -169/11 Sort 1, -25, 9, 2, -42, -8 in increasing order. -42, -25, -8, 1, 2, 9 Sort 11, -24, 0, -4, 85, -21 in ascending order. -24, -21, -4, 0, 11, 85 Put -233, -0.17, 12.7 in decreasing order. 12.7, -0.17, -233 Sort -2, -20, 30, -3, -100, 4 in descending order. 30, 4, -2, -3, -20, -100 Put 76, 4, 32, -2, -911 in ascending order. -911, -2, 4, 32, 76 Put 116, -4, -3, 18, -23 in decreasing order. 116, 18, -3, -4, -23 Sort 4, 8, -5, 137, 57 in descending order. 137, 57, 8, 4, -5 Sort -2, -4, 12.7, 0.027, -0.95. -4, -2, -0.95, 0.027, 12.7 Put 16, -44, -22, -5, 5, -59 in decreasing order. 16, 5, -5, -22, -44, -59 Put -405, 9, -29, -5 in descending order. 9, -5, -29, -405 Put 11, -18, -3, 10, 2, -1, 5 in decreasing order. 11, 10, 5, 2, -1, -3, -18 Sort -8/45, 0.3, -3, 45757, 5/3 in increasing order. -3, -8/45, 0.3, 5/3, 45757 Put 40, 0.271, -2, -0.219, 9 in descending order. 40, 9, 0.271, -0.219, -2 Sort 6/5, -71, -5.9486 in descending order. 6/5, -5.9486, -71 Sort -3/2, 5/2, -2/7, -0.59, 2624 in increasing order. -3/2, -0.59, -2/7, 5/2, 2624 Sort 3, -1, 2, -1172, 262, -3. -1172, -3, -1, 2, 3, 262 Sort 932, 14, -4, -42 in ascending order. -42, -4, 14, 932 Put -939, -0.769, -9 in descending order. -0.769, -9, -939 Put -19, 28, 4, -1, -11, 20 in descending order. 28, 20, 4, -1, -11, -19 Put 2/15, 3265616, 5 in descending order. 3265616, 5, 2/15 Put -2, -328, -13, -336, 2 in decreasing order. 2, -2, -13, -328, -336 Put -20, 12091, 0, 2, 5 in descending order. 12091, 5, 2, 0, -20 Sort 124, -113, -4, 0.3, -396/5 in descending order. 124, 0.3, -4, -396/5, -113 Put 10890, 5, -119 in increasing order. -119, 5, 10890 Sort -4/31, 0.3, 5, -54, -55 in decreasing order. 5, 0.3, -4/31, -54, -55 Sort -1, -2371654, -12 in increasing order. -2371654, -12, -1 Put 0.5, 8.6, 1970.6, -7 in decreasing order. 1970.6, 8.6, 0.5, -7 Sort 21, -5, 900/2257 in decreasing order. 21, 900/2257, -5 Sort 2, 0, -5, -3, 19, -166, -2 in descending order. 19, 2, 0, -2, -3, -5, -166 Put 5, 197, 43562, -1, 3 in increasing order. -1, 3, 5, 197, 43562 Sort -50278, -0.081, 0.2 in descending order. 0.2, -0.081, -50278 Put -9485, -4, 3, 24 in increasing order. -9485, -4, 3, 24 Put 4, -46, -1, -2, -42, 1247 in increasing order. -46, -42, -2, -1, 4, 1247 Sort 1, 455, -5, -9, 5, -2, -4. -9, -5, -4, -2, 1, 5, 455 Put 6, 11, 21832, 45, -3 in increasing order. -3, 6, 11, 45, 21832 Sort -3033, -5, -16188 in decreasing order. -5, -3033, -16188 Sort -12, -1442694, 1 in ascending order. -1442694, -12, 1 Put 5, 198, 12, 0, 1, -1, 30 in increasing order. -1, 0, 1, 5, 12, 30, 198 Put -5, -2/19, -6, -58, -1/5, -3/4 in descending order. -2/19, -1/5, -3/4, -5, -6, -58 Sort 2, 304, -44, 570. -44, 2, 304, 570 Put 3, 15, -1, -18, -5884, 5 in ascending order. -5884, -18, -1, 3, 5, 15 Put -3, 594, -8, -20, -4, 5, 2 in ascending order. -20, -8, -4, -3, 2, 5, 594 Put -3698, 3966, -1 in descending order. 3966, -1, -3698 Sort 5, -1515, -4, 0, 6, -1, -2 in descending order. 6, 5, 0, -1, -2, -4, -1515 Put 4/5, 1/3, 9/2, 0, 52 in increasing order. 0, 1/3, 4/5, 9/2, 52 Sort 2, -28, -4, 0, 3087529. -28, -4, 0, 2, 3087529 Put 8, -7, 5, 3, 2256 in descending order. 2256, 8, 5, 3, -7 Put -16, 616, -8, -32, 2, 10 in increasing order. -32, -16, -8, 2, 10, 616 Sort 1960, -20361, 1. -20361, 1, 1960 Sort 276, 90/11, 22, -1. -1, 90/11, 22, 276 Put -167, -4263.9, 5 in increasing order. -4263.9, -167, 5 Sort 2/27, -49, 1, -1/3, -2900 in descending order. 1, 2/27, -1/3, -49, -2900 Sort -1, 169, 22526, -13 in descending order. 22526, 169, -1, -13 Sort 6, 333753, 4 in ascending order. 4, 6, 333753 Put 2912238, 5, 0 in descending order. 2912238, 5, 0 Put 155, -7, 4, 15, 6 in decreasing order. 155, 15, 6, 4, -7 Sort 954, 2, 5, 4, -19 in decreasing order. 954, 5, 4, 2, -19 Put -177294, -16, 1 in increasing order. -177294, -16, 1 Put -3, -441, 404 in descending order. 404, -3, -441 Put -10885389, 1, 4, 5 in decreasing order. 5, 4, 1, -10885389 Sort 4, 3219, -240 in decreasing order. 3219, 4, -240 Sort -5, 1, -56, 18, -8, 35, -1. -56, -8, -5, -1, 1, 18, 35 Sort -9/8, 4, -2/9, 7/3, 11.8, 3 in ascending order. -9/8, -2/9, 7/3, 3, 4, 11.8 Sort -242, 30, -5, 21, 139, 0. -242, -5, 0, 21, 30, 139 Sort 1/4, 2897, 4, 36 in ascending order. 1/4, 4, 36, 2897 Sort 6, 19924, -12. -12, 6, 19924 Sort 5, -0.5, 0.18, 2, 0.01, 6 in ascending order. -0.5, 0.01, 0.18, 2, 5, 6 Sort 4, -23525, 1, -44, 0 in descending order. 4, 1, 0, -44, -23525 Put 2266, -72, 2, -4, 18 in ascending order. -72, -4, 2, 18, 2266 Put 2/3, 3, 295, 0.1, -10.6 in increasing order. -10.6, 0.1, 2/3, 3, 295 Sort 2, -1, -5, 392, 4191. -5, -1, 2, 392, 4191 Put 1/4, -4, 3, -762/37, -1.3 in descending order. 3, 1/4, -1.3, -4, -762/37 Put 2, -151, -66, -2, 1, -10 in decreasing order. 2, 1, -2, -10, -66, -151 Put -1, 3, 5, 24, -7, -445 in decreasing order. 24, 5, 3, -1, -7, -445 Sort 32, -200/57, 8 in descending order. 32, 8, -200/57 Sort 3, -15, -370, -8, 4, -5 in ascending order. -370, -15, -8, -5, 3, 4 Sort 25400, 24, 83, 0, 4 in ascending order. 0, 4, 24, 83, 25400 Sort -1143, -0.6, 6. -1143, -0.6, 6 Sort 19, -2, 0, 1321.8, 6/7 in descending order. 1321.8, 19, 6/7, 0, -2 Sort 694, 0.15, -2629. -2629, 0.15, 694 Put -32, 0, 3, 1, 5, 59 in increasing order. -32, 0, 1, 3, 5, 59 Put 5, -1, -936, -5285, -5 in decreasing order. 5, -1, -5, -936, -5285 Sort -2436, -2, 245, -5, -51 in descending order. 245, -2, -5, -51, -2436 Sort -2, -3, 3, -5, 1004, 5, 0 in ascending order. -5, -3, -2, 0, 3, 5, 1004 Sort 3, -199, -34 in descending order. 3, -34, -199 Sort 4, -8, 184, -72, -4, -10, -3. -72, -10, -8, -4, -3, 4, 184 Sort 2, -46, -2949, 0. -2949, -46, 0, 2 Sort 8, 14, -2, -5, 3, -1, -437 in increasing order. -437, -5, -2, -1, 3, 8, 14 Sort 1, -1.7, 1/2042, 2/7, 0, -14 in increasing order. -14, -1.7, 0, 1/2042, 2/7, 1 Put 1/18, -40, 6.56, 1/5 in decreasing order. 6.56, 1/5, 1/18, -40 Put -4, 0, 39, -9, 36 in descending order. 39, 36, 0, -4, -9 Sort 0, 1, -4, 4, 23, 48, 10 in decreasing order. 48, 23, 10, 4, 1, 0, -4 Sort 33, -1.2, 136.624 in increasing order. -1.2, 33, 136.624 Put 2, 5, 55442, 3 in descending order. 55442, 5, 3, 2 Sort 0.02368, 0, -2445, 4 in decreasing order. 4, 0.02368, 0, -2445 Sort 3, 4/93, -2/9, -1, -102.5 in descending order. 3, 4/93, -2/9, -1, -102.5 Sort 14993, 0, 4, 2670, -5 in decreasing order. 14993, 2670, 4, 0, -5 Sort 226794, 4, 2, -2, 1 in ascending order. -2, 1, 2, 4, 226794 Sort 4, 70420, 3, -4 in increasing order. -4, 3, 4, 70420 Put 2, -14, -1, 15, -578, -3 in ascending order. -578, -14, -3, -1, 2, 15 Put -1534, 200, -3 in decreasing order. 200, -3, -1534 Sort 2, 31/6, -63335, -1/6 in decreasing order. 31/6, 2, -1/6, -63335 Sort 1052, 9310, 7. 7, 1052, 9310 Put -6, -7, 5, 163, 33 in descending order. 163, 33, 5, -6, -7 Put 5, 0, -47, -1, 24673 in descending order. 24673, 5, 0, -1, -47 Sort -10, 4/5, -1/7, -1129917. -1129917, -10, -1/7, 4/5 Sort -3, 544708, 58 in decreasing order. 544708, 58, -3 Sort -419587, -5, -37. -419587, -37, -5 Sort -5, 2/7, 87, -0.0922 in decreasing order. 87, 2/7, -0.0922, -5 Put 12, 3, 17, 518848 in descending order. 518848, 17, 12, 3 Put -319753, 16, -2, -5 in decreasing order. 16, -2, -5, -319753 Put 0, -165, -1, -115, -23, -2 in descending order. 0, -1, -2, -23, -115, -165 Put 14, 17, -23/87, 0 in increasing order. -23/87, 0, 14, 17 Put -0.3, -9, -90, 4, 2/11, 0.3 in ascending order. -90, -9, -0.3,
{ "pile_set_name": "DM Mathematics" }
v**3) + 4*v**4 - 3*v**4 + v**4 to the form i*v + p*v**4 + h*v**3 + k + u*v**2 and give p. 126 Express 158*j + 4 + 6*j - 11*j - 69*j as d + r*j and give r. 84 Rearrange (-6 - 4 + 3)*(-632629*u**2 + 632629*u**2 - 716*u**3) to the form h*u + d*u**3 + o*u**2 + y and give d. 5012 Rearrange x**2 + 2*x**3 + 14 + 20 + 13 - 47 to j*x + k*x**3 + t + g*x**2 and give g. 1 Rearrange (1 - 31 - 82)*(-w**2 - 2 + 2)*(5 - 2 + 0) to g + v*w**2 + j*w and give v. 336 Rearrange -3*l**2 - l**2 - 19 - 3*l + 7*l**2 + 21 + 30*l to t*l**2 + s + q*l and give q. 27 Express 1 - 1 - 2*r**2 - 29*r**2 + 2 in the form m*r + u + h*r**2 and give m. 0 Express 2*j + 16*j + 49 - 52 + 6*j**2 - 7*j in the form q + x*j + v*j**2 and give v. 6 Rearrange (3 + 4 - 4)*(-1 + 1 - 7)*(-5 + 6*x + 5) to q*x + b and give q. -126 Rearrange (19 + 27 - 8)*(-9*s - 4 + 1 + 1) to the form c*s + u and give c. -342 Rearrange -17881 - 253*u + 17881 to the form w + i*u and give i. -253 Rearrange -a**3 + 21*a**2 + 4*a + 6*a - 1 - 9*a to the form l*a**2 + v*a**3 + w*a + k and give k. -1 Rearrange -p + 39*p**3 - 34*p**3 - 2*p + 2*p**4 + 5*p**2 + 1 to o*p + m + t*p**2 + k*p**3 + r*p**4 and give m. 1 Express -3*s**4 - 90*s**2 + 3*s**3 + 194*s**2 - 87*s**2 as k*s**4 + f*s + j*s**3 + c + z*s**2 and give k. -3 Rearrange w**4 + 4*w**4 - 4*w**4 + (-6*w**3 - w**3 - w**3)*(0*w + 0*w - w) to o*w + f*w**3 + a*w**2 + g + i*w**4 and give a. 0 Rearrange -82*m**3 + 0*m**4 + 76*m**3 - 3 + 2*m**4 - 3 + m + m**2 to d*m**3 + k*m**4 + s*m + h*m**2 + b and give d. -6 Express -13 - 7 - 183*h**2 + 20 in the form q*h**2 + t*h + r and give q. -183 Rearrange 2*u**3 + 2*u**4 - 14*u**2 - 7*u**4 + 33*u**2 + 2*u - 17*u**2 + 0*u**4 to h*u**4 + t*u**3 + l + i*u + q*u**2 and give q. 2 Express (-2*c + 0*c + c)*(-938*c**3 + 379*c**3 - 946*c**3) in the form r*c**2 + u*c**4 + l*c + x*c**3 + b and give r. 0 Rearrange 3*s**3 - 7*s**3 + 2*s**2 - s**2 - 2 - 4*s**2 - 13*s**3 to the form i*s + w + g*s**2 + u*s**3 and give w. -2 Express (-3 - 2*m + 3)*(-3 - 14 + 2) + (3 - 1 + 0)*(2*m - 4*m + 3*m) - 3 - m + 3 - 3 + 3 + m - 2*m + 0*m - 3*m as y + t*m and give t. 27 Rearrange (4 - 1 - 1)*(-2*k - 6*k + 3*k + (-4 - 1 + 1)*(5*k + 2*k - 5*k)) to the form o + i*k and give i. -26 Express 3 - 6*y**2 - 16 + 24*y + 13 as q*y**2 + h + l*y and give l. 24 Express (5 - 5 - 2*y)*(-120*y + 530*y - 218*y + 513*y) in the form f*y + q + o*y**2 and give o. -1410 Express (5*z + 2 - 3*z - z)*(76*z**2 - 3813 + 3813) as x*z**2 + b*z**3 + a*z + t and give b. 76 Rearrange (2 + 2*g - 11 - g)*(8*g + 6*g + 9*g) to c*g + z*g**2 + u and give c. -207 Express (-2 - 2*i + 2)*(5*i**2 - 3*i**2 - i**2) + 4 - 4 + i**3 - 11238629 + 22*i**3 - i - 64*i**2 + 11238629 as w*i + o*i**2 + d + g*i**3 and give w. -1 Rearrange -21*c**3 + 114*c - 2 - 114*c + c**2 to the form x*c**3 + f + s*c**2 + a*c and give x. -21 Express -77*i**4 + 79*i**4 - 9*i**3 + 11*i**3 - 8*i**2 - 3*i - 7*i**2 in the form p*i**4 + a*i**2 + k + g*i + f*i**3 and give p. 2 Express -j**2 + 28*j - 13 + 0*j**2 + j**4 + 10*j**3 - 30*j - 15*j**3 in the form r + i*j + t*j**4 + o*j**3 + v*j**2 and give r. -13 Express 14*h + 173 - 88 - 83 in the form l + k*h and give l. 2 Rearrange -68*f**2 - 963*f + 1922*f - 961*f to d*f + c*f**2 + h and give c. -68 Rearrange -4*x - x + 3*x + (1 + 2 + 23)*(2*x + 3*x - 2*x) to the form m*x + p and give m. 76 Rearrange 4 - 5 - 4 + 3*c + 11*c - 20*c - 126*c + (2 - c - 2)*(-4 + 2 + 1) + 2*c + 3*c - 4*c to y*c + l and give l. -5 Rearrange (528*f + 88*f - 274*f)*(f + f - f)*(4 - 1 - 1) to the form x + o*f + j*f**2 and give j. 684 Rearrange -178*a**4 + 12*a**3 - 2*a + 179*a**4 - 11*a**2 - 9*a**3 + 2 + 0*a**3 to the form g*a**3 + d + h*a**2 + o*a**4 + f*a and give o. 1 Express 35*r**2 - 97*r - 100*r + 213*r in the form x*r**2 + d*r + p and give d. 16 Express (3*m - 3*m + m)*(-1 + 2 + 4*m - 6*m + (2*m - 7*m + 0*m)*(-2 + 1 + 0) + 3*m - m + m)*(1 - 1 - 2) as r*m + q*m**2 + y and give r. -2 Rearrange (2*w - w + w)*(-6 - 3 + 2)*(-1 + 1 + 2 + (-2 + 2 - 2)*(1 + 0 + 1) + 3 + 0 + 0) to the form z + j*w and give j. -14 Express (46*i - 6*i - i)*(4*i - i - i)*(-107*i + 107*i - 34*i**2) as z*i**4 + m*i**3 + g*i + j + x*i**2 and give z. -2652 Express -45354*h**2 - 153 - 45 + 45352*h**2 as x*h + l*h**2 + i and give l. -2 Rearrange -147 - 5*o + 77 + 4*o + 280 + 406 to x*o + y and give y. 616 Express 198 + 202 + 12*g - 414 + (-4 + 2 + 5)*(g + g + 0*g) in the form m*g + b and give b. -14 Rearrange w**2 - 43*w**2 - 108*w**2 to the form d*w**2 + l*w + t and give d. -150 Rearrange 40*h**3 + 455 + 465 - 926 to the form v*h + u + q*h**3 + o*h**2 and give q. 40 Rearrange -345 - 341 - 31*j - 8*j**2 + 686 to the form z*j**2 + b*j + y and give b. -31 Rearrange 2*s - 3*s**2 + 8*s**2 - s**3 - s**3 + 9 - 5 to the form y*s + i + r*s**2 + m*s**3 and give y. 2 Rearrange 2*w**2 - 25*w + 3*w - 2*w to the form d + v*w**2 + t*w and give v. 2 Express -1236*k - 10*k + 520*k - 1246*k - 441*k in the form u*k + z and give u. -2413 Express (-9*y + 3*y - 2*y)*(-y + 3*y - 3*y)*((3*y**2 - 3*y**2 + y**2)*(-4 - 1 + 6) + 0*y + 3*y**2 + 0*y) as a*y**2 + q*y**3 + p*y + g*y**4 + f and give g. 32 Express 2 + 10 - 13 - r**2 in the form v*r + t + l*r**2 and give l. -1 Rearrange -200*v**2 + 2*v + 130*v**2 - 166*v**2 to the form j + w*v + d*v**2 and give w. 2 Rearrange (-6*i**2 - 5*i**2 + 5*i**2)*(238*i + 310*i + 155*i - 316*i + 1181*i) to the form b*i**2 + d*i + x*i**3 + n and give x. -9408 Express (-4 + 4 + 2)*(-7*r - 452*r - 107*r) in the form a*r + m and give m. 0 Express 55*w**2 - 2*w**3 - 54*w**2 + 2*w**4 - 3*w - 2*w**4 - w**4 + 2*w - 1 in the form g*w**3 + p*w + o + i*w**2 + j*w**4 and give j. -1 Express (-5 - 1 + 5)*(-4 + 3 - 2)*(-19 + 25 + 20)*(q - 5*q + q) in the form a*q + r and give a. -234 Express -11*s**2 + 0*s**2 - 20 + 13*s**2 + s**3 in the form k*s**3 + r + p*s + q*s**2 and give k. 1 Rearrange -22 + 52 + 3*c**2 + 7*c**2 - 29 to s*c**2 + q + g*c and give q. 1 Express -3 - 2*m**3 - 2*m**2 + 2*m**3 - 131*m + 21*m**4 + 70*m + 63*m as y*m**2 + h*m + f*m**3 + r + l*m**4 and give y. -2 Express 78*d**2 - 28*d**2 - 31*d**2 - 6 - 25*d**2 as i + x*d + q*d**2 and give i. -6 Rearrange -d**2 + d**2 + 3*d**3 + (-1 - 2*d + 1)*(-d + d + 2*d)*(d - 7*d - 3*d) to i + p*d**3 + f*d + u*d**2 and give p. 39 Express ((-j + j + 3*j)*(3*j - j - 5*j)*(-10*j**2 + 11*j**2 + 4*j**2) + j**4 - 5 + 5)*(3 - 4 + 3) as c*j**3 + n*j**4 + b*j + l*j**2 + q and give n. -88 Express (-59*g + 91*g - 54*g)*(0 + 2 + 3*g - g)*(-3 + 0 + 1 + g) as o + q*g**2 + m*g + l*g**3 and give q. 44 Rearrange ((-2 + 3 - 3)*(-3 + 1 - 1) + 5 - 6 - 4)*(0*v**2 + 2*v**2 + v**2) to h + l*v**2 + z*v and give l. 3 Express (14*j + 9*j + 0*j + (3 + 6 - 6)*(-2*j + 4*j + 0*j))*(1 - 2 - 1) as u*j + z and give u. -58 Rearrange -10*g**2 - 5*g - 7*g - 459*g**3 + 912*g**3 - 452*g**3 to s*g + v*g**2 + k + q*g**3 and give q. 1 Rearrange (-278 - 15*a + 278)*(2 - 11 - 1 + 3) to m*a + i and give m. 105 Express -1016 - 13*b + 1016 as l*b + j and give j. 0 Rearrange (0 + 1 + 2)*(s**2 - 2*s**2 - 2*s**2)*(18 - 11 + 8)*(2 - 3 - 1) to k + t*s**2 + v*s and give t. 270 Express (2*o**2 + 0*o**2 - o**2)*(o + 3*o - 6*o) + 80*o**3 - o + 4*o**3 + 40*o**3 as r*o**3 + g + f*o + y*o**2 and give r. 122 Express -594*b**4 + 295*b**4 + 44*b + 2*b**3 + 300*b**4 as i*b**4 + s*b + r + q*b**3 + p*b**2 and give i. 1 Rearrange 49*o**2 + 17*o**2 + 37*o**2 - 25*o**2 - 20 + 16 to the form k*o**2 + x*o + u and give k. 78 Rearrange (29 - 29 + 7*q**4)*(4 - 1 - 1) + 2*q**4 + q**4 + 0*q**4 + 2*q**2 - 2*q**2 - 3*q**4 to the form y*q**3 + b*q + f + r*q**4 + i*q**2 and give r. 14 Rearrange 9*w**2 + 11*w**4 - 55*w**2 + 19 + 48*w**2 + 2*w**3 to x*w**3 + u + a*w + l*w**2 + d*w**4 and give x. 2 Express -481*r + 279*r - 177*r - 595*r - 158*r + 2 as h + u*r and give u. -1132 Express (1 - l - 1)*(l - 3 + 3) + (-4*l + 4*l - 2*l)*(-3 + 3 - 3)*(0*l + 3 + 3 - l) in the form h*l + p*l**2 + j and give p. -7 Rearrange y - y + 2*y - 5 + 3*y + 5 + (y + 3*y - 2*y)*(2 + 0 + 0) + y + 2*y - 5*y + (-1 + 2 - 2)*(-4*y - 3*y + 2*y) to x + n*y and give n. 12 Rearrange 1025 - 14*r**3 - 2059 + 13*r + 1034 to the form p + a*r**3 + s*r**2 + i*r and give s. 0 Rearrange (-2 + 3 - 2)*(170*h + 25*h + 28*h) to f*h + p and give p. 0 Rearrange 3*p - 16*p + 0*p + (2*p - 2*p - p)*(2 - 7 - 1) to the fo
{ "pile_set_name": "DM Mathematics" }
(c) 2/13 c Which is the closest to 3/5? (a) -5 (b) 110 (c) 2 c What is the nearest to -7 in -5, -0.4, -69? -5 Which is the closest to -2/3? (a) -2/5 (b) -13 (c) -0.3 (d) -1/6 a Which is the nearest to 3/5? (a) 107.4 (b) -1/6 (c) 2/25 c Which is the nearest to 7690? (a) -0.06 (b) -1/5 (c) 2/19 c What is the closest to 1 in 1, -3, -4, -1, -143? 1 What is the nearest to -2/3 in 2, 3, -3, 359.2? -3 Which is the closest to -0.2? (a) 0 (b) 1/847 (c) -2/11 (d) -2/13 c What is the nearest to 2/17 in 2/13, 30, -26, -1/4, -4? 2/13 Which is the nearest to 2? (a) 1 (b) 0.2 (c) 52310 a Which is the nearest to -0.131? (a) 2 (b) 0.07 (c) 5 (d) -11 b What is the nearest to -9772 in -3, 4, 2/7? -3 What is the closest to -0.0847 in -0.4, -0.2, -3/4? -0.2 What is the nearest to 0.14 in 1, -0.09, 1/2? -0.09 What is the closest to 2/7 in -0.027, -17, 30? -0.027 What is the nearest to -3 in -1, 3, -21828? -1 What is the closest to 2/3 in 0.3, 4/5, -4, -78/25, 1/5? 4/5 Which is the closest to 9.744? (a) -1 (b) 3 (c) -15 b What is the closest to 3.6 in 33/4, 1, -0.2? 1 What is the nearest to 6449 in -3, -3/7, 6/5? 6/5 What is the nearest to 0.01 in 0.5, 90, -0.1, -112? -0.1 What is the closest to -1/5 in 162, -0.2, 0.1, -4? -0.2 What is the closest to 0.1 in 5/4, -0.24, -4, 1/652? 1/652 Which is the closest to -70/11? (a) -0.13 (b) -0.1 (c) 1/4 a Which is the nearest to -13? (a) 4 (b) -1 (c) 3.1 (d) -1/2 b What is the closest to -2/15 in -3/7, 5/3, -1, 2/11? -3/7 Which is the nearest to -11? (a) -40 (b) 0.3 (c) 2 (d) 2/27 (e) 0.7 d Which is the nearest to 43? (a) -1.6 (b) 4 (c) 3 (d) 44 d Which is the nearest to -1? (a) 3/44 (b) 3/5 (c) 2/3 (d) -1 d What is the closest to -0.047 in -1875, 0.5, 0.2? 0.2 Which is the nearest to 1? (a) 5 (b) 1483 (c) 2/11 c What is the closest to 1/4 in 5, 0.5, 1.4, -2092? 0.5 What is the closest to 0 in 15/8, -6, 5, 0.3, -0.1? -0.1 Which is the nearest to 0? (a) 1/4 (b) -0.5 (c) -0.039 (d) -5 (e) 24 c What is the nearest to 176/7 in -2, 4, 1/6, -3? 4 Which is the nearest to -3.58? (a) -2 (b) -13 (c) 0.6 a Which is the nearest to -0.1? (a) 0.006 (b) -16 (c) -11.2 (d) 0 d Which is the nearest to 2/29? (a) 0.2 (b) -22 (c) 0 (d) 0.01 (e) 0.1 e What is the nearest to 5 in -10196, 1, 0.2, -2, 2/3? 1 What is the nearest to 0.2 in -113, 3/5, 99, 5, 0.4? 0.4 What is the nearest to 5 in 19, 6/11, -5, -22? 6/11 Which is the nearest to -1? (a) -1 (b) 2125 (c) -0.4 a What is the closest to 57 in -0.4, 248, 0.5? 0.5 Which is the closest to -239? (a) -4 (b) 3/5 (c) 1/5 (d) 0 a What is the nearest to 553 in -2, 4, -0.4? 4 Which is the nearest to -62? (a) -3 (b) -2/5 (c) 0 (d) 9 a What is the closest to 1/18 in -14/9, 4, 0.2, -1/4? 0.2 What is the closest to 5 in -4, 4, 3, -42? 4 Which is the nearest to -5? (a) 3/2 (b) -3 (c) 0.02 (d) 0.05 (e) 1/6 b Which is the closest to 25? (a) 3/17 (b) -1/3 (c) -3 (d) -0.5 (e) -2 a What is the closest to 3 in 1.6, -1, -3, 31? 1.6 Which is the closest to -1? (a) -17 (b) 2/7 (c) 208 (d) -4 b What is the nearest to 1.01 in -5, -2/11, 2/11, -8? 2/11 Which is the nearest to 0.1? (a) -1.3 (b) -2/15 (c) 1638 b What is the nearest to 2/3 in 5, 318, -0.1, -32? -0.1 What is the closest to -0.1 in -95, -1/4, 3, -3? -1/4 Which is the closest to -0.1? (a) -1/6 (b) -3/41 (c) -3/61 b Which is the nearest to 1/2? (a) 0.1 (b) 0.05 (c) -6 (d) -2/3 a Which is the nearest to 0? (a) -0.4 (b) 14 (c) -2/33 (d) 1.1 c What is the nearest to 5 in -1, 1544, -0.1, 0.5? 0.5 Which is the closest to 1? (a) 2/3 (b) 2 (c) 0.4 (d) -49709 (e) 4 a Which is the nearest to -2/7? (a) 3 (b) 0.1 (c) 5 (d) -7/3 b Which is the nearest to -0.06? (a) -202 (b) 0 (c) 3 b Which is the nearest to 6? (a) 1/2 (b) 4 (c) -0.06 (d) 2/9 (e) -24/53 b What is the closest to -1 in -759, -3, -2/3, 0.4? -2/3 What is the nearest to 2.6 in 63, 2/3, 1/19? 2/3 Which is the nearest to 1? (a) -48/65 (b) 0.4 (c) 0 b Which is the nearest to -0.23? (a) 5 (b) -5 (c) 31 b Which is the closest to 1? (a) 3 (b) -0.0229 (c) 14 (d) 2/3 d What is the nearest to -1 in 3/5, -2/13, 140, -0.5? -0.5 What is the nearest to 2/21 in -1, -3/4, -16, -1/7, 0.1? 0.1 What is the closest to -1 in 2/2651, 2/11, -1/4, -3/7? -3/7 Which is the closest to -0.09? (a) 0.2 (b) 0 (c) -3.8 b What is the closest to 0 in -6, -1, -14/23, 31? -14/23 Which is the nearest to 1? (a) -0.2 (b) -1/10 (c) 2.92 (d) 2 d What is the nearest to 0.02 in -1/3, -2/7, 2? -2/7 Which is the nearest to -1/18164? (a) -4 (b) -2/15 (c) -2 (d) 2/11 b Which is the nearest to 2/7? (a) -122/7 (b) -2 (c) -9 (d) 0 d What is the closest to -2/25 in -1, 1, 13/3, 3/5? 3/5 What is the nearest to -2/7 in -0.04, -0.3, -5/403? -0.3 Which is the nearest to -3? (a) 2 (b) -0.042 (c) -1 (d) -2/3 c What is the closest to -34702 in -0.3, 21, -2/11? -0.3 What is the nearest to 2/5 in 2/13, -20, 363, 5? 2/13 Which is the closest to 1/4? (a) -0.5 (b) -7 (c) -2 (d) 285 (e) 11 a What is the closest to -21 in 1, -1/6, 0.03, 0.5, -5? -5 What is the nearest to -282/23 in 5, -3, 2/5, 0.1, -25? -3 Which is the closest to -0.25? (a) 3 (b) 4 (c) 28 (d) 2 d Which is the closest to -3? (a) 1/2 (b) -3 (c) 2/11 (d) 12 (e) 2/5 b What is the nearest to 3 in -3, 73, -4/3, 1/4? 1/4 What is the closest to 1 in 0.3, 0.2, 1/2549, 1, 4? 1 What is the nearest to -0.1 in -528, -201.4, 5, -1/3? -1/3 Which is the nearest to -14? (a) -7057/3 (b) 2/13 (c) 2 b Which is the closest to -1? (a) 31 (b) 774 (c) -5 (d) -0.4 d Which is the nearest to -2? (a) -0.5 (b) -0.3 (c) -1/174 (d) 0.2 (e) -10 a Which is the nearest to 1/4? (a) 6 (b) -4 (c) 0.4 (d) 42 (e) -6 c What is the nearest to -4 in -0.02, 3, 37? -0.02 Which is the closest to -3? (a) -193 (b) -0.4 (c) -10 b What is the nearest to -1 in -3, -1, -4, 5/3, 5? -1 What is the closest to -65 in -1/2, -0.3, 2/11, -14, 1/2? -14 Which is the nearest to 0.1? (a) -0.1 (b) -0.4 (c) 2/5 (d) 2122 a Which is the nearest to 0? (a) -3 (b) -1/2 (c) 1 (d) -72 b Which is the nearest to 78? (a) 6 (b) -1 (c) 0 (d) -136 (e) 1/3 a What is the closest to 1 in 1/4, 3, -7232, -5, 5/9? 5/9 What is the closest to 0.1 in 5487, 11, 1/3, 0.4? 1/3 What is the closest to 9 in -1/4, 15/23, 0.36? 15/23 What is the nearest to -1/2 in -26, 0.3, -2, -0.3, 75? -0.3 What is the nearest to -2 in -11235, -5, 1/3? 1/3 What is the nearest to 0.4 in 8, 3.2, -7, 5, 1? 1 What is the nearest to -2/5 in -170, 0.1, -30? 0.1 Which is the nearest to 0.2? (a) 4 (b) -3.1 (c) -73/17 b What is the closest to -1/2 in 57, -0.1, -3, 3, 10? -0.1 Which is the nearest to -2/11? (a) -22/5 (b) -0.1 (c) 2.4 (d) 0 (e) 4 b What is the closest to 0.21 in 3/4, 624, 4, -2/5? 3/4 What is the nearest to -1/3 in 2, -0.9, 105, -3? -0.9 What is the closest to 1/2 in -2/5, 0.22, -2390, -1? 0.22 Which is the nearest to -207? (a) -4/7 (b) 0.8 (c) 1440 a Which is the nearest to 1/3? (a) -3 (b) -2/11 (c) 0.04 (d) 3/4 (e) -38 c Which is the closest to -3/7? (a) 25 (b) -31 (c) -1 c What is the closest to -1/22 in -0.1, -13, 1? -0.1 What is the closest to 2 in 27, -2/3, 0.0039, 0.4, -3? 0.4 Which is the nearest to -545.8? (a) 0.3 (b) -0.5 (c) -3 c What is the closest to 0.024 in 1/4, 5, 17/10, 26? 1/4 Which is the nearest to -2? (a) 0.4 (b) -151 (c) 0.3 c Which is the closest to 0.937? (a) -36/7 (b) -4 (c) -2/11 c What is the nearest to 2/5 in -2, -17, 1/8, 274, -4/7? 1/8 What is the closest to 29.8 in 3/22, 13, -5? 13 What is the nearest to 179 in -0.3, 4/3, -1/3? 4/3 Which is the nearest to 4? (a) 4/7 (b) 5 (c) -2/11 (d) -0.2 (e) -6 b Which is the nearest to -0.1? (a) -2 (b) 9 (c) -0.045 (d) 3 (e) -0.5 c What is the closest to 2/7 in 1/3, -42.5, -1, -0.1? 1/3 What is the closest to 2 in -0.4, 2/5, -4, 2/103? 2/5 Which is the closest to -2? (a) 1 (b) 1/11 (c) -0.3 (d) -3 (e) -24/347 d Which is the closest to 0.094? (a) 0.5 (b) 2/3 (c) 85 (d) 0 (e) -5 d Which is the nearest to -0.1? (a) 548 (b) 12 (c) -34 b Which is the closest to 0.5? (a) 0.4 (b) 0.5 (c) -0.4 (d) 11079 (e) 2 b What is the closest to -1/4 in -0.7, 1.94, -2? -0.7 Which is the closest to -1121900?
{ "pile_set_name": "DM Mathematics" }
1/2. What is the closest to 1/3 in 2, m, b? b Let k(y) = -2*y + 8. Let d be k(4). Which is the closest to d? (a) -1/4 (b) -1 (c) 5 a Let m = 5 - 4.5. Let d = 20 + -19.6. Which is the closest to 0.1? (a) -5 (b) m (c) d c Let o = -0.6 - 1.9. Let l = o + 2.4. Which is the nearest to l? (a) 0.5 (b) -0.1 (c) -0.6 b Let r = 47.2 - 47. Which is the nearest to -3? (a) r (b) -1/2 (c) 0.5 b Let h = -319 - -4145/13. Let s = -268.8 - -269. Which is the nearest to 0.01? (a) h (b) 3 (c) s a Let q = 1.8 + 0.2. Which is the nearest to 0? (a) 4 (b) -5/6 (c) q b Let r = 17.98 + -18. Let x = r - 0.18. Which is the closest to x? (a) -0.5 (b) 1 (c) 3 a Suppose 9 = 3*o - 6. Let f = 147/2 - 75. Let q = 3 - 4. Which is the nearest to q? (a) o (b) 2 (c) f c Let p be 40/18 + (-2)/9. Suppose 5*t + p = -18. Which is the nearest to 0? (a) -0.3 (b) 2 (c) t a Let l = 1.95 + 0.05. Let p = 0.5 + -5.5. Let h = p + 6. What is the nearest to l in h, -4, 1/6? h Let i = -3 - -2. Let g = -4 + 6. Let s be (-6)/(-10) - g/(-5). Which is the nearest to s? (a) -2 (b) -1/5 (c) i b Let q = -4.5 - -4.6. Which is the nearest to q? (a) 4 (b) -3 (c) 1/5 c Let k = -18 - -18.2. Suppose u - 4*u - 9 = -3*h, -3*h = -5*u - 7. Which is the nearest to u? (a) -5/6 (b) k (c) -4/7 b Let u = -15 + 23. Let w = 5 - u. Let p = 7 - 6.7. What is the nearest to 2/7 in w, p, 0.1? p Let u be (2/(-3))/(3/6). Let v = 16.7 - 17. What is the closest to 1/4 in v, u, -5? v Let f be (-4)/14 - 13/(-21). Let i = -62.5 + 62. What is the nearest to f in i, -2/9, 4/9? 4/9 Suppose -4 = w + 1. Let m be 1/w + 18/(-10). Let v = -35 + 247/7. What is the closest to m in -2, v, 3? -2 Let s = 2/35 - -29/105. Which is the closest to s? (a) -0.5 (b) -1/5 (c) -0.1 c Let d = -11.7 - -12. What is the closest to 2/7 in d, -0.1, -6/7? d Let s = -0.13 - -0.13. Let d = 0 - s. Which is the nearest to 0.1? (a) d (b) 0.05 (c) -5 b Let i = -2.993 + -0.007. Let b = -0.1 + 8.1. Let v = b + -12. What is the nearest to 0 in v, -2, i? -2 Let r = -64 - -67. Which is the closest to -0.1? (a) r (b) -0.5 (c) -1 b Let d = -37/56 + 3/8. Which is the closest to d? (a) 0.1 (b) -5 (c) 4 a Let p = -1.8 - 3.2. What is the closest to 1 in -0.3, p, 5? -0.3 Let l = -0.373 + 0.073. Which is the nearest to 0? (a) l (b) -0.2 (c) 3/5 b Let d = -119 - -116. Which is the closest to 0.2? (a) -1 (b) 0.4 (c) d b Suppose 2*a + 4*r + 32 = 0, -3*a - 2*a = -4*r + 122. Let j be -2*(a/24 + 1). Let w = -38 + 37.6. What is the closest to 2/5 in w, -1, j? j Let m = -11.7 - 0.3. Let t = m - -11.9. Which is the nearest to 1/2? (a) 2 (b) t (c) -0.5 b Let r be (2/(-4))/(3/(-2)). Let h = -14.76 + -0.24. Let l = h + 13. Which is the nearest to -2? (a) -0.3 (b) l (c) r b Suppose 3*x - 4 = 2*h - 0, 4*x - 11 = -3*h. Let u = 20 + -12. Let c = u - 4. What is the closest to -2 in 3, x, c? x Let t = -3 + 2.5. Let v = -0.1 - 0.02. Let w = -0.02 - v. What is the nearest to 2/7 in w, 0.2, t? 0.2 Let v = 17 + -35/2. Let u = 0.26 - 0.06. Let g = 0.2 - u. What is the nearest to g in v, -1, 1/5? 1/5 Let u = 4.18 + -0.18. Let i = -31 - -30. Which is the nearest to -3? (a) u (b) 1/11 (c) i c Let x = 0.216 + -0.016. Let w = 0.1 + 0. What is the closest to 0.1 in -0.2, w, x? w Let p = 136/231 + 6/77. What is the nearest to -0.2 in -3, p, -5? p Let k = 196 - 195.07. Let w = 0.07 + k. Which is the closest to w? (a) 3 (b) -0.5 (c) 2/9 c Let x = 0.38 - 0.08. Which is the nearest to -0.1? (a) 4/13 (b) x (c) -2/9 c Let t = 35 - 34.8. What is the nearest to -2/15 in t, -0.5, 2/3? t Suppose 0 = 4*z + 3*i - 4, 3*z - 3*i = -0*z + 3. Let y be z*4 - 0/3. Which is the closest to -1? (a) y (b) 1/4 (c) 2 b Let q = -0.2 - 0. Let z = 62 + -64. What is the closest to 2/5 in q, 5/4, z? q Let a = 1 + 3. Suppose 37 = a*w + 1. Suppose -t + 3 = 3*u, -u + w = 3*t - 0*u. What is the closest to -2 in -1/5, t, -2/9? -2/9 Let r = -6 - -11. Which is the nearest to -0.1? (a) 0 (b) -2/9 (c) r a Let x = 4 - 4.1. Let j = -0.1 + -0.4. What is the nearest to x in 3, -0.2, j? -0.2 Let h = -146 - -132.9. Let d = h + 13. What is the closest to d in -3/2, -1/3, 1? -1/3 Let k = -89 + 88.5. What is the closest to -1/2 in 2/5, -3/2, k? k Let p be 0 + 0 + (-2)/(-9). Which is the closest to 1? (a) 1/10 (b) -2/21 (c) p c Let w = -200 + 1798/9. Which is the nearest to 0? (a) w (b) -3/5 (c) -8 a Let y = -10 - -1. Let m = y - -9. Let q = -4 + 2. Which is the closest to -0.1? (a) m (b) 2 (c) q a Let m be 4/10 + 26/10. What is the closest to 0 in -1, m, 1/2? 1/2 Let f = -301/10 - -61/2. Which is the closest to f? (a) 0.3 (b) 1/8 (c) 1 a Let n = -19.45 + 20. Let o = n - -0.05. Let u = o + -0.5. What is the closest to u in -0.5, 0.3, -2/3? 0.3 Let t = -10078295/69 + 438661/3. Let r = t + -158. Let m = 1 - 1.1. What is the closest to m in r, 0, 5/3? 0 Suppose -i = -3 + 2, -3*w - 5*i = -122. Let n be (-16)/(-104) - 19/w. What is the closest to 2/3 in n, -2, -3/4? n Let n = 14 - 11. Suppose -3*q - 1 = -4. Which is the closest to q? (a) -0.5 (b) n (c) 0.3 c Let n = -0.07 - 0.03. Let m = 4.87 + 0.13. Which is the closest to n? (a) -0.5 (b) -1 (c) m a Let g be 1 + (0 - 1) - 2. Let h be g/(-4) - (-1)/(-4). Which is the closest to -0.1? (a) -3 (b) -2/23 (c) h b Let w be 116*15/(-430) + 4. Which is the closest to 0.1? (a) w (b) -0.2 (c) 4 a Let l(s) = -s**2 + 4*s + 12. Let q be l(6). Which is the nearest to q? (a) -1 (b) 6 (c) 0.5 c Suppose -16*w - 46*w = -14*w. Let m = 3 - 2.8. What is the nearest to -2/13 in 3, m, w? w Let s = -21 - -16. What is the closest to 0.1 in s, 3, -2/5? -2/5 Let c = -3.08 - 0.02. Let m = c + 0.1. Let u be ((-3)/(-12))/(2/10). What is the closest to -0.1 in m, u, -1/4? -1/4 Let b be 18/(-6) - (-46)/14. What is the closest to b in 0.1, 5/6, 3/5? 0.1 Let u = 0.67 - 1.07. Which is the nearest to 1/4? (a) -3 (b) u (c) 1 b Let i = 28 - 33. What is the nearest to -2 in i, 0.2, -0.1? -0.1 Suppose 0 = 3*q - 8*q. Let f be (3 + 1 + -3)/(-4). Which is the nearest to q? (a) -0.3 (b) -0.1 (c) f b Let g be (-2 - 5)*3/(-3). Let f be 2 - (623/36)/g. Let m = 1/4 + f. What is the closest to 0 in 3, 5/4, m? m Let i = -0.34 + 1.64. Let r = i + -0.3. Let w = -2 + r. Which is the closest to w? (a) 1/2 (b) 0.1 (c) 0.2 b Let s be 4/(-10)*(-5)/(-9). Let k = -0.1 - -1.1. Which is the nearest to -1? (a) -4 (b) s (c) k b Let o = -0.03 + 2.03. Let m = -0.3 + -0.3. Let j = m + 0.2. Which is the nearest to -1? (a) -3 (b) j (c) o b Let s = 109/10 + -42/5. Which is the nearest to -2/3? (a) 0 (b) 3 (c) s a Let z = -2.5 + 3. Let k = -4.6 + 33.6. Let w = k + -29.1. What is the closest to -0.1 in -2, w, z? w Suppose -u - 4*w = -1, 3*w = 4*u - 25 + 2. What is the closest to -2/3 in u, -3, -2/13? -2/13 Let j = -17 + 15.15. Let c = -0.15 + j. What is the closest to -1 in -2/5, -0.1, c? -2/5 Let o = 1.26 + -1.36. What is the nearest to o in -21, 2, -4? 2 Let k = -28.2 + 28. What is the nearest to -7/4 in k, -0.3, -0.5? -0.5 Let l(w) = -2*w**2 - 34*w + 31. Let q be l(-18). What is the closest to 1/3 in q, 3, 1? 1 Let j = -23 + 22.94. Let t = j - -0.16. Which is the closest to 3? (a) 5 (b) -2/5 (c) t a Let d = 0.02 + 0.08. Which is the closest to 1? (a) 2 (b) d (c) -0.3 b Let k = -10 - -15. Let w = -279 + 284. Which is the nearest to k? (a) 0 (b) w (c) -0.1 b Let a be (-2)/((-14)/(-4) + 0). Suppose 16 = -276*l + 272*l. What is the nearest to -2/5 in a, 0.5, l? a Let n = 1.8 + -2. Let k = -435/4 + 109. Which is the closest to k? (a) 5 (b) 3 (c) n c Suppose -11 = 5*k + 3*r - 5*r, 0 = -5*k - 2*r + 1. Let f be (-2)/15 - k/(-5). Which is the nearest to f? (a) 0.5 (b) -1/3 (c) 2/3 b Let s = -1.95 + -0.05. Let m = s + 7. Let n = 0.107 - 0.007. Which is the nearest to n? (a) -4 (b) m (c) -3 c Let p = 0.11 + -0.1. Let j = -0.19 - p. Which is the nearest to -0.2? (a) -1 (b) j (c) 0.4 b Let h = -8.8 + 9. Which is the closest to -2? (a) 1 (b) 0.3 (c) h c Let k be (-2)/1 + 560/220. What is the nearest to 2/11 in -3, -1, k? k Let h be 3/((-1)/(-1)) + -1. Suppose h = -b + 3. Let q = -4.7 + 5. What is the closest to 0 in q, 0.1, b? 0.1 Let y = -0.95 + -0.05. Let z = -0.03 - 0.04. Let j = 3.07 + z. What is the nearest to y in j, -1, -2/9? -1 Let p b
{ "pile_set_name": "DM Mathematics" }
pose 6*k - 18 = 4*k. Let i(w) = w**3 - 9*w**2 - w - 7. Calculate i(k). -16 Suppose -4*f + f + m + 9 = 0, 5*f - 4*m - 22 = 0. Suppose -f*q + 5 = -5. Let h(o) = 3 + 30*o - q - 31*o. Give h(-3). 1 Let p(r) = -2*r**2 - 8*r - 4. Let i be p(-3). Suppose -2*k = -5*q - k + 22, i*q - 3*k - 14 = 0. Let w(f) = -f**3 + 3*f**2 + f - 3. What is w(q)? -15 Let s(b) = -2*b**2 + 4*b + 6. Let r be (-3)/8 - 258/(-48). What is s(r)? -24 Suppose 0 = 5*q + 73 - 98. Let c(n) be the first derivative of n**3/3 - 3*n**2/2 - 7*n + 5. What is c(q)? 3 Let m(w) be the second derivative of -w**7/840 + 7*w**6/360 - 7*w**5/120 - w**4/6 + 11*w**3/6 - 10*w. Let v(k) be the second derivative of m(k). What is v(6)? -10 Suppose 10*v - 7*v = -42. Let i = 17 + v. Let b(t) = 3 + t**i - 4*t + 3*t**2 + 0*t**2 - 6. Give b(-3). 9 Suppose 3*w + 24 = 3*y, 4*w - 4 - 14 = -y. Suppose 17*g - y*g = 14. Let u(z) = z**2 + 2*z - 2. Give u(g). 6 Let x be (42/63)/(2/6). Let q(m) = 0*m**2 + 5 - 3*m**x + m + 0*m - 6. Give q(-2). -15 Let g(i) = 6*i**3 + 3*i**2 - 2*i**2 - 2*i**3. Let d(r) = -5*r**3 - 10*r**2 - 3*r. Let y be d(3). Let p be (-270)/y + (-2)/13*1. Calculate g(p). 5 Let b(n) = 7*n**2 - 14*n - 2. Let q(s) = -6*s**2 + 13*s + 2. Let u(d) = -5*b(d) - 6*q(d). What is u(6)? -14 Let f = -33 - -34. Let t(y) = -2 - 7 + f - 1 - y. Determine t(-5). -4 Let k(c) = -3*c - 2. Let z(u) = u**3 + 21*u**2 - u - 24. Suppose -5*s = 40 + 65. Let j be z(s). Calculate k(j). 7 Let t(m) = 7*m**2 - 13*m + 9. Let r = 23 - 12. Let f(p) = -373*p + 6 + 13*p**2 + 348*p + 11. Let l(k) = r*t(k) - 6*f(k). What is l(6)? 3 Let v(y) = 4*y**2 + 33*y - 18. Let m(l) = l**2 + 8*l - 4. Let q(f) = -9*m(f) + 2*v(f). Determine q(-7). -7 Let w = -7 - -6. Let d(y) = y**2 - 11*y + 5. Let k be d(9). Let c(g) = -41*g**2 + 13*g + 2. Let u(o) = 20*o**2 - 6*o - 1. Let n(a) = k*u(a) - 6*c(a). Give n(w). -13 Let w(b) = -4*b - 1. Let j(t) = 11*t - 11. Let x(v) = -j(v) - 2*w(v). Determine x(6). -5 Let n(j) = -3*j**3 - j**2 + 1. Let t(f) = -16*f**3 - f**2 + 4*f + 9. Let x(v) = -5*n(v) + t(v). Give x(5). -1 Suppose 11 + 5 = 2*k. Suppose m - 3 = -k. Let c(y) = -7 + 2*y - 3*y + 3. Give c(m). 1 Let j(r) be the third derivative of -r**4/6 + 4*r**3/3 + 7*r**2 + 4. Give j(4). -8 Let l(p) = -p**2 + p - 2. Let h(x) = 11 + 7*x**2 - 21*x + 20*x - 4. Let q(w) = h(w) + 6*l(w). Give q(-6). 1 Let c(p) be the third derivative of -p**5/60 + 7*p**4/24 - p**3/2 - 7*p**2. Suppose 59 = -4*d - 5*l - 27, -4*l + 30 = -2*d. Let m = -13 - d. Calculate c(m). 3 Let b(r) = r + 322 - 331 - 2*r. Determine b(-17). 8 Suppose 46*q = -100*q - 2190. Let m(w) = w**3 + 14*w**2 - 14*w + 12. What is m(q)? -3 Let k(t) = -t**2 + t + 9. Let l(m) = 5*m**2 + 2*m + 28. Let z(w) = -6*k(w) + 2*l(w). Give z(2). 62 Let p(k) = 12*k - 55. Let b be p(5). Let z(f) = -6 - 12*f + f**3 + 1 - 2*f - b*f**2 + 10*f. Calculate z(6). 7 Let a(j) = 2*j - 12. Let n(l) = l - 7. Let m(p) = -4*a(p) + 7*n(p). Let w(d) = -5*d - 10. Let g = 11 + -7. Let x(z) = g*m(z) - w(z). What is x(-6)? 0 Let g(w) = 10*w**2 - 28*w - 2. Let o(j) = 3*j**2 - 9*j + 1. Let s(x) = -2*g(x) + 7*o(x). Determine s(5). 1 Let f = 17 + -7. Let h(r) = 2 + f*r + 7*r - 15*r. Calculate h(2). 6 Let x(z) = -z**2 + 8*z + 2. Let l(j) = j**2. Let v(m) = 2*l(m) + x(m). What is v(-8)? 2 Suppose 0 = 15*q - 8*q - 658. Let v(y) = -1 + 5*y**2 - 92*y + y**3 + q*y + 0*y**3 + 4. Calculate v(-5). -7 Suppose 12 - 20 = -4*l. Let q = -12 + l. Let s be 63/6*q/15. Let x(m) = -m - 3. Determine x(s). 4 Let o = 204 + -208. Let n(a) = a + 9. What is n(o)? 5 Let n(j) = -2*j**2 - 4*j + 5. Suppose -f - 256 = 63*f. Calculate n(f). -11 Let j(m) be the first derivative of -m**5/60 - m**4/6 - 2*m**3/3 - 7*m**2 + 48. Let x(n) be the second derivative of j(n). Calculate x(-6). -16 Let a = -1192 - -1186. Let d(w) = -w**2 - 3*w - 2. What is d(a)? -20 Let h(w) = -5*w - 1. Let c(m) be the first derivative of m**3/3 - 2*m**2 - 6*m + 10. Let n be c(5). What is h(n)? 4 Suppose -3*q - 18 = -63. Let s be (-2)/10 + 33/q. Let p(w) be the third derivative of w**4/24 - 2*w**3/3 - 100*w**2. Calculate p(s). -2 Let m(b) = -b**2 - 14*b - 13. Let r(c) = -c**2 - 18*c - 85. Let z be r(-6). Determine m(z). 0 Let l(g) = -g - 12. Let x be -1 + (2/(-8) - 720/192). Calculate l(x). -7 Let n(p) = -9*p + 4. Let q(v) be the third derivative of 5*v**4/24 - v**3/3 - 35*v**2. Let s(u) = 4*n(u) + 7*q(u). Determine s(-3). 5 Let n(l) be the first derivative of l**4/6 + 4*l**2 + 19. Let z(o) be the second derivative of n(o). Calculate z(3). 12 Let l(b) = -b**2 - 10*b - 1. Let h = -161 - -152. What is l(h)? 8 Let y(u) = 11*u**2 - 2*u**2 - 8*u - u**3 + 8 + 0*u**2. Suppose 0 = 3*l - 3*f - 15, -3 + 24 = 3*l - f. Determine y(l). 8 Let a(k) be the third derivative of -k**4/24 + 3*k**3 - 269*k**2. Determine a(8). 10 Suppose 0 = -5*a + 2*a + 12. Suppose 3*w = a*w. Suppose 0 = 4*g + 12 - w. Let q(v) = v**3 + 3*v**2 + v + 2. Give q(g). -1 Let x(n) = -2*n**2 + 3 + 2*n + 2 + 0 - 3. Suppose w = -3, 5*y + 5*w = 3*y - 11. Give x(y). -2 Let q(j) = -j**3 - 4*j**2 + 1. Let v(t) = -7*t + 34. Let l be v(0). Let m be (4/10)/((l/20)/(-17)). Determine q(m). 1 Suppose 0*w = 3*w - 5*j - 1, 0 = 5*w + j + 45. Let f(q) = -q**2 - 7*q + 10. What is f(w)? 2 Let u(j) = -j**2 + 29*j + 22. Let t be u(30). Let b(r) = -r**3 - 9*r**2 - 7*r + 18. What is b(t)? 10 Suppose 19 = 41*i - 145. Let a = -386 + 709. Let k be a/(-119) + i/(-14). Let n(c) = -c**2 - c + 3. Calculate n(k). -3 Let h(a) be the first derivative of -a**4/4 + 7*a**3/3 - a**2 - 5*a - 148. Give h(4). 35 Let q(z) = z**3 + 2*z**2 + 2*z. Let b be ((10 + -8)/4)/((-1)/4). Determine q(b). -4 Suppose 2*m = -3*w - 3 + 2, 0 = 3*w - 5*m - 13. Let z(a) = a + 7*a - 2*a. Give z(w). 6 Suppose 0 = -f + 3*f. Let g(d) = 4*d**3 - 6*d**2 + 5*d + 5. Let p = 50 + -45. Let z(u) = 3*u**3 - 5*u**2 + 4*u + 4. Let t(r) = p*z(r) - 4*g(r). What is t(f)? 0 Suppose -74 = 4*u - 26. Let p(t) = -t**2 - 12*t + 2. Calculate p(u). 2 Let n be (1 - -1 - 0)*2. Suppose 15 = -5*p + 5*q - 0*q, -n*p - 4*q = -4. Let a(d) = 18*d - 1. Give a(p). -19 Let d(a) = -a**3 + 1180 + 1188 + a - 2366 - 3*a**2. Calculate d(-2). -4 Let v(h) = 5*h**3 - 19*h**2 - 16*h + 25. Let g(z) = 16*z - 19*z + 5 - z**2 - 5*z**2 + z**3 + 2*z**2. Let k(f) = 11*g(f) - 2*v(f). Give k(5). -25 Let s(h) = -31*h**3 + 14*h**2 - 6*h + 20. Let g(v) = 11*v**3 - 5*v**2 + 2*v - 7. Let u(r) = 17*g(r) + 6*s(r). What is u(0)? 1 Suppose -21*w - 34 + 13 = 0. Let m(c) = 12*c**2 - 1. Determine m(w). 11 Suppose -2*l - 4 = -3*l. Let d(v) be the third derivative of -v**5/60 + 5*v**3/6 + 11*v**2 + 51*v. What is d(l)? -11 Let v(b) = -b**2 - 3*b + 4. Let y(r) = -15 + 9 + 2*r + 17 - 5*r. Let a be y(5). Give v(a). 0 Let i(k) = -k**2 + 3*k - 1. Suppose -2*w + 4 = 2*q, w - 6*w = 3*q - 2. Give i(q). -5 Let l be (5 - 0) + (8 - 168/12). Let r(q) = 7*q**2 - q - 2. Give r(l). 6 Suppose 2*w + 18 = 4*h, -3*h - 6 = w - 17. Suppose j = -4*s - 18, 6*s + 25 = 5*j + 3*s. Let c(d) = -j*d + 5*d - h*d. Calculate c(-4). 4 Let k(g) = 2*g**2 - g - 4. Suppose -x + 210 = 6*x. Let s be x/(-8) + 4/(64/12). Determine k(s). 17 Let t(n) = 3*n**2 - 3*n + 2. Let q(p) = 10*p**2 - 10*p + 7. Let g(w) = 2*q(w) - 7*t(w). Let u(y) = -4*y**2 - y + 4. Let j(k) = 5*g(k) - u(k). Calculate j(5). 1 Let l = -7 - -5. Let h(i) be the third derivative of -i**6/120 - i**5/30 - i**4/24 + i**3/6 - 6*i**2. Give h(l). 3 Let p(j) = -3*j - 7*j**2 + 5 + 8*j**2 - 1. Let d(z) = -2*z - 2. Let m be d(-3). Suppose 0*c + 24 = 4*c - 4*n, 0 = -m*c - 2*n + 12. Determine p(c). 8 Suppose -4*q - 12 - 48 = 0. Let f be -5*(-2)/q*-2*-3. Let s(p) = 4*p**2 + 10*p + 4. Let k(d) = 9*d**2 + 21*d + 9. Let j(m) = -3*k(m) + 7*s(m). Calculate j(f). -11 Let p(i) = i**2 - 12*i - 2782 + 2780 - 2*i**2 + 0*i. Determine p(-12). -2 Let k be (-44)/(-10) - (96/(-40))/(-6). Let w(b) = -1 + 0*b**2 + 1 + b**2 - 3*b. Give w(k). 4 Let j(d) = -127*d - 3*d**2 + 126*d + 4*d**2 + 0*d**2. Determine j(0). 0 Let b(w) = w**3 + 4*w**2 + 6*w + 3. Let c be (-2)/4*(0 - 86). Suppose -39 = -f - c. Give b(f). -21 Let m(r) = 5*r**2 + 1. Let s be (-1 + 5 - (10 + -7)) + -3. Calculate m(s). 21 Let b(w) = 3*w**2 + 4*w**2 + w**2 + 5 - 1 + w**3. Let o be b(-8). Let x be o/(-6) - 34/(-6). Let q(v) = -v**2 + 4*v + 4. Give q(x). -1 Let q(f) = -f**2 - f. Suppose -6*d + 270 = 276. What is q(d)? 0 Let
{ "pile_set_name": "DM Mathematics" }
293 = -5*x + v, 54 = x - q*v. List the prime factors of x. 59 Let q = -52 - -50. List the prime factors of (q + -146)*1/(-2). 2, 37 Suppose -3*l - 28 = -7*l. Let t = l - 3. Suppose -t*c + 227 = 15. What are the prime factors of c? 53 Let a be (5/2)/((-2)/(-76)). Let z = a - -83. List the prime factors of z. 2, 89 Let r be -3 + (6 - (0 + -1)). Suppose -3*i + i = -r. What are the prime factors of (45/(-6))/(i/(-4))? 3, 5 Let b = -22 + 12. What are the prime factors of (-7)/4*b - 1/2? 17 Suppose 4301 = 4*a - 2567. What are the prime factors of a? 17, 101 Let l be (0 - -1) + -2 + 13. Let r = l - 9. Suppose -r*f + 1 = -8. List the prime factors of f. 3 Let a be ((-92)/120 - (-2)/12)*-10. Let f(m) = -33*m**3 - 2*m - 1. Let t be f(-1). What are the prime factors of (4 - (a - -1)) + t? 31 Let a = -2872 + 5749. List the prime factors of a. 3, 7, 137 Suppose 5*m = -0 - 5. Let p(t) = -t + 47 - 47 - 13*t. What are the prime factors of p(m)? 2, 7 Suppose 2*k + 3*x = 5*k + 3, -4*x + 22 = 5*k. List the prime factors of (k/6)/((-7)/(-903)). 43 Let b be 4/18 - 1435/(-63). Suppose -b - 51 = 2*d. Let j = 64 + d. List the prime factors of j. 3 Let j = -68 + 188. Suppose 4*m - 4 = 0, c + 3*m = -0*m + j. What are the prime factors of c? 3, 13 Suppose 5 = 2*p - 1. Suppose -2*j = -3*j - p*i + 32, 5*j = 3*i + 178. Suppose 5*m - j = 5*l, 3*l - 88 = -5*m - 21. What are the prime factors of m? 11 Let p = -9 - -9. Suppose 0 = -2*y - w + 22, 2*y + 2*y - 4*w - 68 = p. Let z = -6 + y. List the prime factors of z. 7 Suppose -22*p + 1375 = -17*p. Suppose 4*h - p = 5*o, 9 = -3*o - 0. What are the prime factors of h? 5, 13 Suppose -8*q + 210 + 70 = 0. Suppose -98 = -3*m - 2*j + 2, 5*j + q = 2*m. What are the prime factors of m? 2, 3, 5 Let m be 60/(-18)*12/(-10). Let d be m/((-4)/3 + 2). Suppose q - d*q + 95 = 0. What are the prime factors of q? 19 Suppose -18 = -4*n + 2*u + 12, -5*u + 3 = 3*n. Let s be ((-4)/2)/((-3)/n). Suppose k - 3*k + 5*m = -25, -k = s*m + 7. What are the prime factors of k? 5 Suppose 4*h + 5 = 5*j, -3*h - 2*h + 2*j + 15 = 0. Let t(q) = -4*q - 3*q**2 + 16 + h*q - 2*q**2 + 4*q**2. What are the prime factors of t(0)? 2 Suppose -3*s - 1 = 8, -5*s - 1257 = -3*d. Suppose -5*l - n + 521 = 0, 0*n = -4*l + 2*n + d. List the prime factors of l. 2, 13 Suppose -32*j + 34*j - 1346 = 0. What are the prime factors of j? 673 Let j(s) = 2*s - 5*s - 7 + 4*s + 3*s. What are the prime factors of j(7)? 3, 7 Let f(g) = 5*g**2 + 4. Let v(x) = -x**3 + 3*x + 2. Let h be v(-2). What are the prime factors of f(h)? 2, 3, 7 Let m(j) = -4*j - 10. Suppose 3*t + 4 = -8. Let f be m(t). Suppose f*d - 3*d - 177 = 0. List the prime factors of d. 59 Suppose 0 = -4*p - 2*v + 14, -v = -5*p - 0 + 7. Suppose 4*n - 883 = t, -n + 0*n = -p*t - 212. Suppose 10*c = 4*c + n. What are the prime factors of c? 37 Let b(p) = p + 6. Let j be b(-6). Suppose -3*n - u + 38 = j, -u - 34 = -n + 4*u. What are the prime factors of (n/21)/(2/48)? 2 Let d = -662 + 1745. List the prime factors of d. 3, 19 Let f(z) = 15 + 9*z - z - 9*z. Let y be f(12). Suppose -2*n - 13 = -y*n. What are the prime factors of n? 13 Suppose -3*q + 13 = -14. Suppose q*g = 10*g - 28. What are the prime factors of g? 2, 7 Suppose -5*f + 4*v + 14 = 0, v - 4*v - 11 = -4*f. Suppose f*m - 4*m = -118. Suppose 0 = -5*j + 46 + m. List the prime factors of j. 3, 7 Suppose -3823 = -l - 27*u + 22*u, 0 = -2*l + u + 7624. What are the prime factors of l? 3, 31, 41 Suppose -2*n + 6*n = 2536. Suppose n = 2*u + 32. Suppose -5*d + 171 = 2*f + f, -5*f + u = 3*d. What are the prime factors of f? 2, 31 Let c(z) = -z**2 - 3*z. Let b be c(-2). Suppose 0*f + 3*f + b*j = 21, 5*f - 22 = j. Suppose f*r - 60 + 19 = -d, r - d = 7. List the prime factors of r. 2 Let p be -2*(148/(-8) + 2). Suppose -16*r = -19*r - p. Let u = 34 + r. List the prime factors of u. 23 Let d = -2490 - -3757. List the prime factors of d. 7, 181 Let t = 11 - 16. Let z = -1 - t. Suppose -b = -z*f - 6, 2*b - b = -2*f. What are the prime factors of b? 2 Suppose 2*v - i = -2*i + 25, -4*v = -3*i - 65. Let x(y) = y**3 - 14*y**2 - 4*y + 8. Let r be x(v). Let o = -7 - r. What are the prime factors of o? 41 Suppose -m = -67 - 18. Suppose 0 = v - 0*v - 4. Suppose -4*k - 5*s + 60 + m = 0, -v*k = -3*s - 169. What are the prime factors of k? 2, 5 Let k be (-4)/(0 - ((-10)/3)/(-5)). List the prime factors of (-6)/9 - (-220)/k. 2, 3 Let v = -10 - -6. Let c(l) be the first derivative of -5*l**2 - 42. What are the prime factors of c(v)? 2, 5 Let t = 8444 - 5851. What are the prime factors of t? 2593 Let o = 69 - 157. Let g = o + 148. What are the prime factors of g? 2, 3, 5 Let k(b) = -b - 4. Let l be k(-5). Let s = -8 - l. What are the prime factors of (-169)/s + 4/18? 19 Let c(h) = -h**2 - 1. Let x(a) = 8*a**2 - 3*a - 1. Let r(g) = 3*c(g) + x(g). What are the prime factors of r(3)? 2 Let c(b) = -b + 1. Let d be c(3). Let m(g) = 5*g**2 + 2*g - 1. What are the prime factors of m(d)? 3, 5 What are the prime factors of 28*5*((-117)/12)/(-3)? 5, 7, 13 Let z be 4 - 3*(-10)/3. Suppose -10*x + z*x = 988. What are the prime factors of x? 13, 19 Let u(l) = l**3 - 15*l**2 - 16*l - 9. Let z be u(16). List the prime factors of (-790)/(-15) - (-6)/z. 2, 13 Let k(c) = -2*c**3 - 10*c**2 + 36*c + 107. List the prime factors of k(-13). 3, 11, 71 Suppose 4*w = 3*l + 23 + 13, -4*w - l = -52. Suppose -w = 3*u, 2*u + 12 + 24 = q. List the prime factors of q. 2, 7 Suppose -4*u = -3*f - 50, 2*f - 30 = 4*f - u. Let j = 14 + f. Suppose y = j, -5*x + y + 2*y = -180. What are the prime factors of x? 2, 3 Suppose 50 = 5*w - 3*q, 3*w - 2*w - 10 = -2*q. Let y = 11 - w. List the prime factors of 21 - (0/4)/y. 3, 7 Suppose -b + 2 = -0*b. Suppose 0 = b*q - 4 - 182. Let d = -64 + q. What are the prime factors of d? 29 Let d be 0/(-1 - -4 - 1). Let m be d/1 + (-3 - -6). List the prime factors of (-38)/m*(-9)/6. 19 Let y be -12 + (-2 - (-1 - -1)). Let m be (-172)/(-7) - 6/y. Let a = m + 20. What are the prime factors of a? 3, 5 Let w(a) = 4*a**2 - 4*a + 1. Let i = -85 + 80. List the prime factors of w(i). 11 Suppose 6*z - 1 = 5. Suppose -69 = -2*m + z. What are the prime factors of m? 5, 7 Suppose 0 = -10*h + 11*h - 16. Suppose -4*l + h = -0*l. Suppose j - a - 10 = a, -l*j + 3*a = -45. List the prime factors of j. 2, 3 Suppose 0 = -62*u + 28550 + 3380. What are the prime factors of u? 5, 103 Let l(s) = 2*s + 1. Let o be l(1). Suppose 20 = -o*b + 2. List the prime factors of (4/b)/(10/(-870)). 2, 29 Let o(c) = 2*c + 16. Let f be o(-6). Let k be (3 - 4) + f/4. Suppose -5*l + 148 - 18 = k. What are the prime factors of l? 2, 13 Let j(h) = -2*h + 10. Let y be j(5). Suppose y + 12 = 4*s. What are the prime factors of (3 + -3)*1 + s? 3 Let s(x) = 2*x**2 - 6*x - 9. Let n(b) = -b - 4. Let a be n(-10). What are the prime factors of s(a)? 3 Suppose 4*s + 56 - 1 = 5*d, -2*d = -s - 19. Suppose 0 = -5*z + m - 14, 0*m + d = -4*z + 5*m. What are the prime factors of (z/(-5))/(1/85)? 3, 17 Suppose 2*g - 147 = 5*b + 440, 2*g - 591 = b. What are the prime factors of g? 2, 37 Let x be -131*2*(-5)/10. Let h = x - 70. What are the prime factors of h? 61 Let a = -319 + 228. Let d = a + 159. What are the prime factors of d? 2, 17 Suppose -10*z = -1220 - 2590. List the prime factors of z. 3, 127 Suppose 27*h = 25*h + 18. Let a be -74 - (-2)/(6/h). Let q = 128 + a. What are the prime factors of q? 3, 19 Suppose 5*v - 16 = 3*g, -4*v - 2 = 5*g - 0. Suppose v*p = p + 63. List the prime factors of p. 3, 7 Suppose 5*f - 22 = 8. Let r be (-3 - -2)/(1/f). List the prime factors of (r/(-15))/(2/200). 2, 5 Suppose 0 = -o - 3*o - 156. Let h = 34 + -46. Let u = h - o. List the prime factors of u. 3 Let v = 58 - 30. Suppose 2*l - v = -2*l. Suppose -f - f = 4, s + 5*f + l = 0. List the prime factors of s. 3 List the prime factors of ((-7)/2)/(-7) - (-2051)/14. 3, 7 Let d(r) = r**3 - 9*r**2 - 10*r - 8. Let y be d(10). Let j(b) = -b - 3. Let f be j(y). Suppose f*p = 32 + 83. What are the prime factors of p? 23 Suppose -6*x = -2*x - 512. Suppose 4*l + 0*l = x. List the prime factors of l. 2 Let c = 1093 + 389. What are the prime factors of c? 2, 3, 13, 19 Suppose 0*x = -g - 3*x + 70, -68 = -g - 4*x. What are the prime factors of 4/8*g*2? 2, 19 Suppose 4*h + 3*f = -12, -h - 2*f
{ "pile_set_name": "DM Mathematics" }
d(r) = 29*r**3 + 11*r**2 + r + 471. Let z(n) = -15*n**3 - 6*n**2 - 237. Let g(h) = 6*d(h) + 11*z(h). Differentiate g(v) with respect to v. 27*v**2 + 6 Let h(u) be the first derivative of -u**3/3 - 2*u**2 - 4*u - 9. Let m(q) = 1. Let i(o) = -h(o) - 4*m(o). What is the second derivative of i(a) wrt a? 2 Find the first derivative of -35452*g + 13 + 34921*g - 366 wrt g. -531 Let a(d) = -2*d + 10. Let n(v) = v - 3 + 8 - 4. Let f(h) = -2*a(h) + 22*n(h). What is the first derivative of f(l) wrt l? 26 Let w(g) = 244*g**2 + 2*g + 242. Let i(f) = 732*f**2 + 7*f + 728. Let m(h) = 2*i(h) - 7*w(h). Differentiate m(c) with respect to c. -488*c Let y(b) be the second derivative of 127*b**4/6 + 163*b**2/2 - 274*b. What is the derivative of y(j) wrt j? 508*j Let h = -43 - -47. Find the third derivative of -27*l**3 + 36*l**2 - h*l**2 + l**2 wrt l. -162 Let r(k) be the first derivative of -84*k**5/5 + 4*k**3/3 - 40. What is the third derivative of r(n) wrt n? -2016*n Let d(a) = -7*a**2 - 7*a - 4. Let o(j) = -j**3 - 6*j**2 - 6*j - 4. Suppose 2*f + 0*f + 12 = 0. Let t(w) = f*d(w) + 7*o(w). What is the derivative of t(z) wrt z? -21*z**2 Find the third derivative of -17*f**6 + 4*f**6 + 76*f**2 + 11*f**6 + 3*f**6 + 17*f**5 + f**5 wrt f. 120*f**3 + 1080*f**2 Let t(s) be the second derivative of -s**9/1260 - 7*s**5/120 + s**4/12 - 5*s. Let h(n) be the third derivative of t(n). Find the first derivative of h(y) wrt y. -48*y**3 Let k(r) = 48*r**2 - 5. Let x be k(2). Find the second derivative of -37*o**5 + 4 + x*o - 4 - 163*o wrt o. -740*o**3 Let s(w) be the first derivative of 4*w**3/3 + 34*w**2 + 312*w + 406. Differentiate s(v) with respect to v. 8*v + 68 Let z(n) be the second derivative of n**3/6 + 3*n**2/2 - 7*n. Let u be z(-1). Find the third derivative of -4*p**6 + 5*p**2 + p**u - p**2 + 13*p**6 wrt p. 1080*p**3 Let k(i) be the third derivative of -11*i**7/210 - i**4/2 - 2*i**3/3 - 53*i**2. Find the second derivative of k(g) wrt g. -132*g**2 Let y(c) be the third derivative of 0*c - 12*c**2 + 5/8*c**4 - 7/120*c**6 + 0 + 0*c**3 + 0*c**5. What is the second derivative of y(a) wrt a? -42*a Differentiate 4055*j - 596*j**2 + 155 + 549 - 4055*j with respect to j. -1192*j Let u(b) be the second derivative of 167*b**7/42 - 2*b**3 - b**2/2 - 26*b + 1. Find the second derivative of u(t) wrt t. 3340*t**3 Let x(c) = 357*c**2 - 16*c - 308. Let t(b) = 715*b**2 - 36*b - 618. Let j(y) = 4*t(y) - 9*x(y). Find the first derivative of j(r) wrt r. -706*r Suppose -3*u + d = 38 - 137, 3*u - 4*d = 99. What is the third derivative of -12*s**2 + u*s**6 - 18*s**6 - 3*s**2 wrt s? 1800*s**3 Let f(g) be the third derivative of g**4/24 - 10*g**2. Let y(t) = -10*t**5. Let m(z) = 6*f(z) + y(z). What is the second derivative of m(a) wrt a? -200*a**3 Let f(q) be the first derivative of -81*q**5 - 73*q**3/3 - 406. What is the third derivative of f(u) wrt u? -9720*u Let c(m) be the first derivative of -14*m**5 + 83*m**2/2 - 109. What is the second derivative of c(b) wrt b? -840*b**2 Find the second derivative of 23*x - 92*x + x**2 - 2*x**2 + 18*x**3 - 54*x**3 wrt x. -216*x - 2 What is the derivative of -50*n**2 + 87 + 20*n + 137*n**2 - 20*n wrt n? 174*n Let g(r) = r**5 + r**4 - r**2 + r. Let u(q) = 19*q**5 + 3*q**4 - 17*q**2 + 12*q. Let o(c) = -3*g(c) + u(c). Find the third derivative of o(h) wrt h. 960*h**2 Let c(l) = -10*l + 69. Let u(y) = 2*y. Let h(w) = 2*c(w) + 6*u(w). What is the derivative of h(b) wrt b? -8 Let t(c) = 139*c**4 + c**2 - 5*c + 10. Let f(s) = -139*s**4 + 6*s - 8. Let b(x) = 5*f(x) + 4*t(x). Find the third derivative of b(l) wrt l. -3336*l Let o(v) = -21*v**3 + v**2 - 2*v - 3. Let t be o(-1). Differentiate 3 + 3 - 17 + t*d + 9 wrt d. 21 Let b be (-1)/(-4) + 44/16. Suppose -3*c + 28 = 5*l, b*c + 0 = -2*l + 4. What is the second derivative of l*a**2 - a + 2*a - 3*a - 2*a wrt a? 16 Let h(j) = 9*j - 6. Suppose -10*s + 4*s - 54 = 0. Let y = -13 - s. Let a(n) = -8*n + 5. Let t(l) = y*h(l) - 5*a(l). Differentiate t(f) wrt f. 4 Suppose -94 = -2*p - 40. Suppose 23 + p = 5*k. Find the third derivative of n**6 - 229*n**4 + k*n**2 + 229*n**4 wrt n. 120*n**3 What is the third derivative of 12 + 8*m**2 - 10*m**6 - 10*m**2 + m**5 + 0*m**3 + 0*m**3 + m**6 wrt m? -1080*m**3 + 60*m**2 What is the second derivative of -13*i + 71*i**2 - 10*i - 12*i + 5*i wrt i? 142 Let a(j) = -60*j**3 - j**2 + 6*j + 33. Let c(s) = 58*s**3 + s**2 - 7*s - 32. Let x(d) = -7*a(d) - 6*c(d). Find the third derivative of x(n) wrt n. 432 Let t(u) be the second derivative of -61*u**5/20 + u**3/6 - u + 30. What is the second derivative of t(m) wrt m? -366*m Let v be ((-2)/6)/((-6)/36). Let g(w) be the second derivative of -1/2*w**3 + 0 + 2*w**2 - v*w. Differentiate g(d) wrt d. -3 Find the third derivative of 85*c**2 - 18*c**2 - 18*c**2 + 16*c**6 + 6*c**6 wrt c. 2640*c**3 Let y(k) be the second derivative of 5*k**4/24 - k**3 + 15*k**2/2 + 12*k. Let i(j) be the first derivative of y(j). Differentiate i(f) wrt f. 5 Find the third derivative of 1730*l**2 + 39*l + 8*l**5 - 1731*l**2 - 4*l**6 + 14*l wrt l. -480*l**3 + 480*l**2 Find the first derivative of -166 + 79*u - 146 - 352 wrt u. 79 Suppose -k - 20 = -6*k. Let l(j) be the first derivative of -3*j**3 - 3/2*j**k + 6 + 0*j + 0*j**2. Find the third derivative of l(p) wrt p. -36 What is the second derivative of -463*y**3 - 1963*y**2 + 1963*y**2 - 12 + 5*y wrt y? -2778*y Let c(o) = -o - 16. Let k be c(-16). Let t(j) be the third derivative of -5/3*j**3 + k + 2*j**2 + 0*j + 0*j**4 - 1/6*j**5. Differentiate t(p) wrt p. -20*p Suppose 0 = 3*g - 0*g - 18. Let l be (g/4)/((-18)/(-24)). What is the first derivative of 1 + 1 - 2*o**2 + 11*o**2 - 2*o**l wrt o? 14*o Let g(m) be the second derivative of 29/6*m**3 + 27/2*m**2 + 25*m - 2. What is the first derivative of g(u) wrt u? 29 What is the second derivative of 107*r + 19*r**3 - 37*r**3 + 46*r**3 + 66*r**3 wrt r? 564*r Let u(j) be the third derivative of 0*j + 1/336*j**8 + 0*j**6 + 7*j**2 + 0*j**7 + 0*j**5 + 0*j**3 + 1/2*j**4 + 0. What is the second derivative of u(a) wrt a? 20*a**3 Find the first derivative of -646 - 118*h - 54*h**3 + 25*h**4 + 119*h + 54*h**3 wrt h. 100*h**3 + 1 Let y(r) = -4*r**2. Let z(p) = -749*p**2 + 3*p + 36. Let x(h) = -6*y(h) - z(h). Find the second derivative of x(j) wrt j. 1546 Let j = -73 - -77. Find the second derivative of 12*o + 0*o**4 + 30*o**4 - 2*o**j wrt o. 336*o**2 Find the third derivative of -26*n**4 - 303*n**2 + 304*n**2 + 742*n**4 wrt n. 17184*n Let s(i) be the second derivative of 16*i**8/7 - i**4/12 - i**3/2 - 60*i. What is the third derivative of s(c) wrt c? 15360*c**3 Let d(l) be the second derivative of 2/7*l**7 + 0*l**2 + 0*l**3 + 0*l**6 + 0*l**5 + 1/3*l**4 + 0 - 11*l. Find the third derivative of d(j) wrt j. 720*j**2 Let p(x) be the first derivative of 47*x**5/5 + 10*x**3/3 + 7*x**2/2 + 32. Find the third derivative of p(o) wrt o. 1128*o Let x(c) = 2*c - 1. Let h(z) = -14*z + 36. Let b = 56 + -59. Let g(t) = b*x(t) + h(t). What is the derivative of g(f) wrt f? -20 Let h(v) = -4*v - 4. Let q be h(-2). Suppose -3*n + 127 + 61 = u, -n + 730 = q*u. Find the third derivative of -8*s**4 - u - 7*s**2 + 182 wrt s. -192*s Let h = -76 + 137. Differentiate -16*m**2 - 40 + h*m - 115*m + 3*m**3 + 54*m wrt m. 9*m**2 - 32*m Let b(r) be the first derivative of r**6/45 - r**4 - r**3 - 32. Let y(o) be the third derivative of b(o). Find the first derivative of y(q) wrt q. 16*q Find the third derivative of -15*a**2 + 2 - 80*a**4 + 14*a**2 + 0 + 14*a**2 wrt a. -1920*a Let c be -4 + 180/5 + 0. What is the second derivative of 20*o - c*o - 2*o**5 + 2*o**5 - o**5 wrt o? -20*o**3 What is the third derivative of 31*h**2 - 16*h**3 - 79*h**2 - 64*h**3 wrt h? -480 Let c(i) = -2*i + 1. Let j be c(-1). Differentiate -x**2 + 1 + 6*x**2 + j*x**2 wrt x. 16*x Suppose -a - 21 = -23. Find the third derivative of a*s**3 + 0*s**2 + 5*s**2 + 11*s**3 wrt s. 78 Let j(t) be the third derivative of 7/6*t**3 + 0*t**4 + 0*t - 1/60*t**5 + 0 - 5*t**2. Differentiate j(s) with respect to s. -2*s Let s(w) be the first derivative of -w**5 - 14*w**3/3 - 31*w**2/2 - 498. Find the second derivative of s(y) wrt y. -60*y**2 - 28 Suppose -x - 20 = 3*n, -x + 2*n = -2 + 22. Let v = -19 - x. Differentiate -2*s**3 - s**3 + s**3 + 4*s**3 - v wrt s
{ "pile_set_name": "DM Mathematics" }
= 0.017 + -0.317. What is the smallest value in h, w, -2? -2 Let f = -0.052 - -26.352. Let q = 26.1 - f. Which is the third smallest value? (a) 1/27 (b) q (c) 0.4 c Let o be (-2 + 0)/((-70)/3395). Suppose 2*c = -153 - o. What is the third biggest value in 0.1, c, 0.4? c Let v = -369 - -369. Suppose -5*o - 5 = 5*u, -5*u + 11 = -v*u + o. What is the third biggest value in -4/7, -10, 5, u? -4/7 Let q = 211 - 215.24. Let n = q - -1.34. Let a = n + -0.1. What is the second biggest value in a, 9, 2/5? 2/5 Let t = 34536 + -34540. Let n(o) = -o**3 - 7*o**2 - 6*o - 2. Let l be n(-6). What is the third smallest value in 0.013, l, t? 0.013 Let s = 13.1 - 13. Let k be (-216)/1584 - (-4)/(-11). What is the second biggest value in k, 2/13, s? s Suppose -i + 13 + 21 = 0. Suppose y - 3*o = 3*y + 83, 2*o + 191 = -5*y. Let j = i + y. Which is the smallest value? (a) j (b) -0.5 (c) -2 (d) 0.4 a Let s = -6.3 + 7.8. Let v = -15 - -13.6. Let r = v + s. Which is the smallest value? (a) -1/2 (b) -2 (c) r (d) 1 b Let t = 351.2 + -314. Let s = t + -38. Let y = 0.8 + -1.1. Which is the fourth smallest value? (a) s (b) 0 (c) y (d) 4 d Let n = 21 - 28. Let o = 9.2 + n. Let h = 2.2 - o. Which is the third smallest value? (a) 4 (b) 0.2 (c) h a Let y be (12/7)/((-12)/(-42)) - 1. Suppose 5*u + y = -4*m, m + 0*u + u = 0. Which is the third smallest value? (a) 3 (b) m (c) -6 (d) -0.2 a Let i = -85.35 + 89. Let v = i - 3.15. What is the second biggest value in -4, -101, v? -4 Let l = 71.239 - 0.239. Let g = -71.2 + l. Let s = 1 - 2. Which is the fourth biggest value? (a) s (b) g (c) 0 (d) 3 a Let w be (-60)/72 - -2 - 1. What is the fifth smallest value in -0.5, w, 0.4, 50, 5? 50 Let m = -0.4 + 4.4. Let d = m - 3.6. Let w be ((-6)/(-20) - 0)/(3*2/(-10)). Which is the third smallest value? (a) -2/21 (b) d (c) w b Let v = 0.8636 + -0.2636. Which is the biggest value? (a) v (b) 0.1 (c) -0.4 a Let j = -52 + 47. Suppose 6*f = 4*b + 3*f, 5*f = -20. Let r be 3 + 0 + 8/b. What is the third biggest value in j, r, -1/5? j Let w = -6106 + 5309. What is the second biggest value in 1/3, w, 0.4? 1/3 Let t = -151248 - -151248.7. Let f = -14.7 + 1.7. What is the biggest value in f, -3, t? t Let p = 0.074 - 0.914. Let l = p + -3.16. Let i = 0.1 + 0.4. What is the smallest value in -3/7, 0.04, l, i? l Let r = -112.57 + 96.57. Which is the second smallest value? (a) 3/2 (b) r (c) 0 c Let w = -2596 + 2597. Let r be (((-162)/(-64))/9)/((-6)/(-8)). What is the fourth smallest value in -1/2, -3, r, w? w Let q = 54 - -182. Let s = -236 + q. Which is the biggest value? (a) s (b) 1 (c) -0.19 b Let q be (1/39)/(((-186)/(-18))/31). Which is the second smallest value? (a) -4/9 (b) -3 (c) q (d) 0.3 (e) 0.4 a Let f = 62681 - 62680. Let g = -9/5 - -2. Which is the fourth biggest value? (a) -1/8 (b) f (c) g (d) 3 a Let b be 1/5*10/(-56). Suppose 22907*x - 23021*x = 0. What is the third biggest value in 2, x, b? b Let q be 54/621 + (2566/644 - (-39)/91). Let c = -4 + 4. What is the third smallest value in -7, c, q? q Let f be 24/(-10) + (-204)/(-102). Let n = 1.79 + 0.21. Let x = -7 - -5. Which is the third smallest value? (a) x (b) f (c) -4 (d) n b Suppose 4*v = 8*w - 5*w - 8, -w - 24 = 4*v. What is the third biggest value in 3, w, 2/3, -2, -24/11? -2 Let l = -2533 + 2536. Let m be (-6)/27 + 76/18. Suppose 3*z + 8 = -3*q + 2*q, m*z = -5*q - 7. Which is the second smallest value? (a) l (b) -4 (c) -2 (d) z d Let y = -0.07 - 0.13. What is the smallest value in -0.06, 1/2, y, 7? y Let y be -1 + 3 + 5*-1. Let h(l) = -4*l - 42 - 18 + 11*l - 22 + 103. Let s be h(y). Which is the biggest value? (a) -5 (b) 3 (c) s (d) -5/4 b Let w = -1 - -1. Let t = 97705 - 97710. Let u = -4 + 5. Which is the fourth biggest value? (a) -2 (b) w (c) t (d) u c Let f be 4*(-25)/(-60)*-3. What is the third smallest value in 0, f, 0.8, 38? 0.8 Let u(v) = v + 10. Let r be u(-6). Let s = 13 + -8. Let a = 97 + -98. What is the biggest value in r, 2, s, a? s Suppose -70*w + 73*w = 9, 5*w - 3 = -3*q. What is the second biggest value in q, -31, 1/5, -29? q Let z = 102.05 + -33.05. What is the smallest value in z, 2/7, -11? -11 Let t = 5308 - 5305. Which is the third biggest value? (a) t (b) 0.2 (c) 14 (d) 6 (e) 3/8 a Let u = 11.644 + -14.644. Which is the fourth biggest value? (a) -8/7 (b) -1/308 (c) -2 (d) -0.5 (e) u c Let d be -13*(423/231 + -2). Let x = 21/11 - d. What is the third smallest value in x, -0.1, -0.46? -0.1 Let p = 272 - 272.02. Let i = -8/5 - -9/5. Which is the second smallest value? (a) -1/2 (b) i (c) -3 (d) p a Let x be -2 + (-52)/(-6) - (118 + -111). Which is the third smallest value? (a) -92 (b) x (c) 0.2 c Let n = -28 + 15. Let r = n - -14. Let l = 5.76 + -0.76. Which is the second biggest value? (a) 1/4 (b) l (c) r c Let s = -0.3 - 2.7. Suppose -r = -4*y - 40, -19*r + 2*y - 78 = -22*r. Suppose -37*t - 9 = -r*t. Which is the biggest value? (a) t (b) -2/3 (c) s b Let m = -9.5801 - -9.64. Let h = 3.9401 + m. What is the smallest value in 5, h, 3, 0.2? 0.2 Let q = -5.02927 - -0.02927. Let z be 0/(1 + 0 + 0). Which is the biggest value? (a) q (b) 2 (c) z b Let j = 2225 - 2224. What is the fifth smallest value in 3, -3, j, -5, -0.05? 3 Let y = -151.39 + 151.33. Which is the smallest value? (a) -1.6 (b) y (c) 0.12 a Let s = 0.9833 + -0.0643. Let h = s - 26.919. What is the smallest value in 1, -4, h, 0.2? h Let i = 19.819 - 7.819. What is the fourth biggest value in -3/8, i, 3, -21/2? -21/2 Let z = 343.6 + -343.2. What is the fourth smallest value in -0.03, 1/2, -0.062, z? 1/2 Let o = -142490/7 + 20356. Let h = -3.04 - -0.04. What is the smallest value in 4/15, 0.4, h, o? h Let m be 5/(-10) + (-66)/(-116). Let d(g) = -g**2 + 4*g + 9. Let q be d(-2). What is the second biggest value in m, -1, q, 3? m Let g = 2757 - 3005.7. Let m = g - -249. What is the second biggest value in 0.1, m, 2/7, -7? 2/7 Suppose -3*r = -s + 12, 20 = -4*r - r - 5*s. Which is the third smallest value? (a) r (b) 0.14 (c) -11 b Let j = -969.98 + 970. Let f = 3.968 - -0.032. Which is the second biggest value? (a) -2 (b) f (c) j c Let q be -3 + 48/14 + -1. Let t = -0.39858 - 0.00142. Let g be -3*(-6)/(-27) + 2. Which is the fourth biggest value? (a) t (b) 1 (c) q (d) g c Let r = -2.79 + 198.79. Let f = r + -196.3. What is the smallest value in -3, 3, f? -3 Let p be (-1)/36*-6*(-1 + -1). Let m = -285.5 + 278.5. Which is the fourth smallest value? (a) -2/9 (b) p (c) 0.2 (d) m c Let l = 4.0835 + -0.0835. Suppose h = k + 1, -2*h = -3*h - 2*k - 11. Let w = -1.1 - -0.1. Which is the second smallest value? (a) l (b) w (c) h b Let a = -0.06 + -3.94. Let n = 179 - 332. Let r = -153.1 - n. What is the second smallest value in 0.4, r, a? r Let l(s) = 2*s**2 + s + 68. Let g be l(0). Suppose -g*k = -24*k - 88. What is the third smallest value in k, -4/3, -0.64? k Let o be 2 - -6 - (-1 + 4/1). Suppose 4*b = o*c + 31, -3*c - 5*b + 29 = -6*c. What is the third smallest value in 3, 2/7, c? 3 Let b = -41.2 + 1606.2. Let k = b - 1565.1. Let o be 4/(-10) + (-22)/(-30). What is the fourth biggest value in 2, 0.6, o, k? k Suppose 4*q - 2*u = 16, -20 = 4*q - 9*q - 3*u. Suppose 3*m + y - 7 = 0, q*y = -m - 3 - 2. What is the third biggest value in -0.4, -0.11, m? -0.4 Let h = 0.3964 + -0.1964. What is the fifth smallest value in -0.4, -0.04, h, 12, 3? 12 Suppose 0 = v - 14 + 15, 2*t - 4*v + 2 = 0. What is the biggest value in t, 4, 418? 418 Let v = -3327 + 3322. Let x = -0.81 - 0.09. Let p = x - -1.3. Which is the third biggest value? (a) 0.2 (b) -4/7 (c) p (d) v b Let x = -9745 + 9750. Which is the third smallest value? (a) x (b) 3 (c) 14/3 (d) -2/5 c Let z = -23780 + 23783. Let r = -4 - -2. What is the smallest value in 1/4, -0.1, z, r? r Let v be (3/2)/(9/24). Let z = 1160521.09 - 1160521. Let x = 0.05 + -3.05. Which is the second biggest value? (a) z (b) x (c) v a Let o = -6 - -3. Let q be o/(-2)*1/(-3). Let w = -8705 + 8704.9. What is the fourth smallest value in -3, q, w, 0.01? 0.01 Let y = 3909.7 - 3879.7. Which is the third smallest value? (a) -0.4 (b) y (c) -30/11 (d) -2/9 d Let y = -2.6 + -8.4. Let h = y + -27. Let w = 39 + h. What is the third biggest
{ "pile_set_name": "DM Mathematics" }
= 455*q - 12. Determine 18*u(f) + 4*z(f). -124*f + 6 Let l(u) = 5*u - 5. Let z(s) be the third derivative of -s**4/6 + 2*s**3/3 - 33*s**2 + 12*s. Give 2*l(r) + 3*z(r). -2*r + 2 Let s(m) = 187*m + 7. Let g be s(0). Let z(k) = -5*k - 4. Let h(w) = -15*w - 13. Calculate g*z(u) - 2*h(u). -5*u - 2 Let w(h) = -19*h**2 - 174*h + 650. Let t be w(-12). Let s(n) be the first derivative of -n**4/4 - n**2 - 2. Let v(r) = 4*r**3 + 7*r. Determine t*v(x) + 7*s(x). x**3 Let u(q) = -18*q**2 - 4. Let v(w) = -69*w**2 - 8*w - 3. Let s(c) = 121*c**2 + 14*c + 5. Let n(x) = -4*s(x) - 7*v(x). Give 5*n(z) + u(z). -23*z**2 + 1 Let m(j) = -532525*j**3 - 1074*j**2 + 358*j + 2506. Let x(o) = 4475*o**3 + 9*o**2 - 3*o - 21. What is 3*m(t) + 358*x(t)? 4475*t**3 Let r(x) = -14*x - 1377. Let h(o) = 9*o + 1378. What is 3*h(m) + 2*r(m)? -m + 1380 Let a be -3 - (0/(-1) + 0). Let o(w) = -2*w - 11. Suppose 0 = -11*m + 101 - 344 + 155. Let c(s) = s + 4. What is a*o(f) + m*c(f)? -2*f + 1 Let a(b) = -3*b**2 + 9*b + 9. Let h(t) = t + 1. Let g be 7/(-2)*(-40)/5. Suppose -2*k + 3*k = -g. Let f = -37 - k. What is f*h(n) + a(n)? -3*n**2 Let w(x) = -x + 6. Let u(l) = 2*l - 13. Suppose -4*i + m - 51 = 0, 0 = -4*i - i - 5*m - 70. Calculate i*w(o) - 6*u(o). o Let h be 120/16*(-38)/(-95). Let b(n) = 4*n**3 + 3*n**2 + 2*n + 3. Let m(o) = 4*o**3 + 3*o**2 + o + 3. What is h*m(g) - 2*b(g)? 4*g**3 + 3*g**2 - g + 3 Suppose -1916*l + 1918*l - 19 = -d, -4*l + 2 = -2*d. Let k(g) = g**3 + 4*g**2 + 7*g - 7. Let a(z) = z**3 + 3*z**2 + 6*z - 6. Determine l*k(y) - 6*a(y). -y**3 + 2*y**2 - y + 1 Let h(q) = -7*q**3 + 7*q**2 - 34*q + 18. Let d(p) = 6*p**3 - 4*p**2 + 17*p - 8. Calculate 5*d(c) + 3*h(c). 9*c**3 + c**2 - 17*c + 14 Let b(p) = 19*p + 207. Let w(a) = a + 102. Let s(y) = -b(y) + 2*w(y). Let i(f) = -6*f - 1. Calculate 7*i(v) - 2*s(v). -8*v - 1 Let u(s) = -5*s**2 + 3*s - 3. Let d(p) = 6 - 53*p - 56*p + 3*p**2 + 1 + 107*p - 5. Give -8*d(n) - 5*u(n). n**2 + n - 1 Let i(n) = 121*n**2 - 66*n + 6. Let c(q) = -485*q**2 + 275*q - 25. Calculate -6*c(l) - 25*i(l). -115*l**2 Let v(r) = -2*r - 3. Let x be v(-5). Let m(c) = -4*c - 5. Suppose 17 - 13 = -5*k - 3*z, -13*k + 2*z - 30 = 0. Let w(l) = -l - 2. Give k*m(t) + x*w(t). t - 4 Let m(x) = 2*x**3 - 3*x**2 + 8*x + 16. Let p(w) = 5*w**3 - 8*w**2 + 24*w + 45. Calculate 11*m(n) - 4*p(n). 2*n**3 - n**2 - 8*n - 4 Let b(j) = -3*j - 124. Let z(i) = -i - 111. Determine -4*b(t) + 3*z(t). 9*t + 163 Let j(l) be the second derivative of -l**4/2 - l**3/6 + l**2 + l. Let w(v) = -11*v**2 - v + 3. Suppose -15*o - 46 + 236 = 23*o. What is o*j(x) - 3*w(x)? 3*x**2 - 2*x + 1 Let z(x) = 257*x + 35. Let d(w) = 256*w + 28. Give 6*d(l) - 5*z(l). 251*l - 7 Let a(w) = 1 + w + 0*w + 0. Let l(r) = -5*r + 3*r + 8 + 0 - 15. Give 4*a(j) + l(j). 2*j - 3 Let l(n) = 10*n - 19. Let v = -8735 - -8737. Let o(i) = -i + 1. Give v*l(q) + 18*o(q). 2*q - 20 Let n(v) = -4*v**3 + 3*v**2 - 6*v + 3. Let p(k) = 2*k**3 + 15*k**2 - 5*k + 20. Let h be p(-8). Let f(a) = 5*a**3 - 4*a**2 + 6*a - 4. What is h*n(o) - 3*f(o)? o**3 + 6*o Let x(d) = -47187*d + 244. Let h(n) = 15729*n - 86. What is -17*h(l) - 6*x(l)? 15729*l - 2 Let j(p) = -191719*p + 232. Let y(q) = 4123*q - 5. What is -5*j(v) - 232*y(v)? 2059*v Let k(u) = u + 1. Let x(b) be the third derivative of -b**4/6 - 7*b**3/6 + 462*b**2 + 3. Determine -5*k(q) - x(q). -q + 2 Let q be (-2 - 28/(-16))/(2/(-8)). Let p(h) = h + 1. Suppose 5*m = 0, -41*d - 5*m - 30 = -36*d. Let k(n) = -n**2 + 6*n + 6. Give d*p(y) + q*k(y). -y**2 Let s(b) = b. Let x(h) = -2*h. Let c = 245 + -212. Let k be 88/c*(-3)/(-2) - 6. Determine k*x(d) - 2*s(d). 2*d Let f(i) = -581*i**2 + i - 11. Let p(w) = 578*w**2 - w + 9. Calculate -5*f(n) - 6*p(n). -563*n**2 + n + 1 Let j be ((-6)/(-4))/((-4)/24). Let v(z) be the first derivative of z**2 + z - 1225. Let u(o) = o**3 - o**2 + 9*o + 4. Calculate j*v(k) + 2*u(k). 2*k**3 - 2*k**2 - 1 Let q(j) = j**3 - j**2 + 3. Let i(g) = g**3 + 28*g**2 - 256*g + 79. Let w be i(7). Let k(f) = -2*f**3 + f - 3. Give w*k(h) + 3*q(h). -h**3 - 3*h**2 + 2*h + 3 Suppose 7*l = 2*o + 123, 6*l - 9*l + 2*o + 55 = 0. Let i(z) = 5*z + 4. Let g(t) = 15*t + 11. Determine l*i(s) - 6*g(s). -5*s + 2 Let z(m) = 19*m - 83. Let i(r) = -30*r + 127. Determine -5*i(y) - 8*z(y). -2*y + 29 Let v(q) = q**2 + 11*q + 2. Let f(d) = 4*d**2 + 34*d + 5. What is -3*f(m) + 10*v(m)? -2*m**2 + 8*m + 5 Let m(c) = 8*c**2 - 6*c + 17. Let n be (-20)/(-4)*(-16 + 15). Let k(x) = 7*x**2 - 5*x + 18. Determine n*m(s) + 6*k(s). 2*s**2 + 23 Suppose -2*o - 25*o = -594. Let y(a) = 23 + o - 99 + a + 30 + 23. Let b(s) = -13*s**3 - s + 1. What is -b(c) - y(c)? 13*c**3 Let l(f) = f - 3. Let t(o) be the second derivative of -o**3/6 + 5*o**2/2 + 431*o. Suppose -4 = 2*z + 10. Give z*l(r) - 4*t(r). -3*r + 1 Let v(d) = -85*d**3 - 5*d**2 + 7*d + 12. Let r(a) = 88*a**3 + 4*a**2 - 6*a - 10. Give -6*r(s) - 5*v(s). -103*s**3 + s**2 + s Let l(i) = -i**3 - i**2 - i + 5. Let d be l(0). Let s(q) = -q**3 - q**2 - q. Let h(u) = -1824 + 3*u**2 + 6*u**3 - 1797 + 5*u + 3623. Determine d*s(k) + h(k). k**3 - 2*k**2 + 2 Let j(u) = -5*u + 2123. Let p(c) = 2*c - 716. Give 4*j(x) + 11*p(x). 2*x + 616 Let i(b) = -851*b**3 - 3*b**2 + b + 3. Let p(z) = z**2 - 1. Determine i(u) + 3*p(u). -851*u**3 + u Let x(g) = g - 171 - 168 + 502 - 164 - 2*g. Let f(m) = -5*m - 15. Determine f(v) - 6*x(v). v - 9 Let k(c) = -810*c + 1648*c - 839*c. Let a(t) = -75*t. What is a(s) - 100*k(s)? 25*s Let m be (-20)/32*-2 - 42/168. Let c(i) = i**3 + i**2 - i. Let g(q) = -q**2 + 3*q - 10. What is m*g(p) + 2*c(p)? 2*p**3 + p**2 + p - 10 Let s(o) = -o**2 - o + 1. Suppose 34 = 17*y + 2 - 2. Let a(k) = k**2 - 2. Calculate y*s(c) + 3*a(c). c**2 - 2*c - 4 Let h(f) = 15*f - 626. Let b(i) = 27*i - 1253. Give 6*b(w) - 11*h(w). -3*w - 632 Let k(r) = -12*r**3 - r**2 - 1. Let t(l) = 63*l**3 - 55*l**2 + 7. What is -5*k(z) - t(z)? -3*z**3 + 60*z**2 - 2 Suppose 4*a - 4*y = 20, -4*a - 3*y = -18 + 26. Let i(m) = -m - 1. Let h(q) = 13*q**2 - 2*q - 2. Calculate a*h(o) - 2*i(o). 13*o**2 Let g(y) = 1. Let h(j) = 2*j - 4. Let b = -224 - 481. Let u be 58/15 + (-94)/b + -3. What is u*h(k) + 2*g(k)? 2*k - 2 Suppose -28 = 14*z - 42. Let x(t) = -2*t**3 - 6*t**2 + 3*t - 3. Let g(d) = 26*d**3 + 5 - 27*d**3 + d - d**2 - 6. Calculate z*x(r) - 3*g(r). r**3 - 3*r**2 Let j(m) = -7*m**2 - 2*m - 2. Suppose 3*q + 6 = -0*q. Let i(y) be the first derivative of 50*y**3/3 + 15*y**2/2 + 15*y - 5108. Calculate q*i(w) - 15*j(w). 5*w**2 Let d(t) = -70 - 3*t**3 - 77 + t + 2*t**3 - t**2 + 146. Let o(m) = 4*m**3 + m**2 - 3*m - 26. Calculate -3*d(k) - o(k). -k**3 + 2*k**2 + 29 Let u(q) = 92*q + 81. Let i(a) = -17*a - 17. Give 11*i(z) + 2*u(z). -3*z - 25 Let u(w) = -w**3 + 2*w**2 + 1. Let k(z) = 52*z**3 + 11*z**2 - z + 7. Determine k(m) - 6*u(m). 58*m**3 - m**2 - m + 1 Let l(w) = 6851*w**2 - 26*w + 3. Let b(n) = 2740*n**2 - 10*n + 1. Give -13*b(i) + 5*l(i). -1365*i**2 + 2 Let j = 131 - 136. Let s(h) = h**2 + 5*h + 5. Let v = 24 - 18. Let o(b) = -5 + 9 - v*b - 7 + 3*b. Determine j*o(r) - 3*s(r). -3*r**2 Let l(k) = 8*k**2 + 2*k - 18. Let b(h) = -46*h**2 - 17*h + 101. Let d(r) = 69*r**2 + 25*r - 152. Let n(v) = 7*b(v) + 5*d(v). Determine 17*l(q) - 6*n(q). -2*q**2 - 2*q + 12 Let u(h) = -2*h**2 - h. Let a(b) = 32*b**2 + 3*b - 105. Give a(f) + 3*u(f). 26*f**2 - 105 Let v(n) = 24*n**2. Suppose -36*m + 97*m - 244 = 0. Let w(b) = -1441*b**2. Give m*w(s) + 242*v(s). 44*s**2 Let s(p) = -2*p - 2. Let v be (-2*(-5)/(-210)*7)/(17/204)*-2. Let g(b) be the second derivative of b + 0 + b**3 + 5/2*b**2. Determine v*s(h) + 3*g(h). 2*h - 1 Let i(u) = 12*u - 3. Let p(t) = -30 - 4892*t + 31 + 4888*t. Determine -2*i(h) - 7*p(h). 4*h - 1 Let z(a) = 2*a**3 - 4*a**2 + 5*a - 4. Let l be 948/316 - (9/2 + 6/4). Let m(y) = -2*y**3 + 3*y**2 - 4*y + 3. Calculate l*z(j) - 4*m(j). 2*j**3 + j Let k(h) = 15*h**3 - 3*h**2 - 3*h - 3. Let r(y) = -44*y**3 + 8*y**2 + 8*y + 8. Let g(p) = -p**3 + 11*p**2 - 18*p - 8. Let t be g(9). Give t*k(x) - 3*r(x). 12*x**3 Let y(x) = 26*x. Let c(o) be the second derivative of -17*o**3/6 + 1681*o. What is 8*c(q) + 5*y(q)? -6*q Let l(q) = 48 - 21 - 26. Let i(h) = h. Let o(p) = -2*p + 4. Let k(g) = -3*i(g) - o(g). Determine 5*k(c) + 20*l(c). -5*c Let b(v) = 10*v**2 - v - 1. Let p(g) = g**3 + 11*g**2 - g - 2. Suppose -26*o
{ "pile_set_name": "DM Mathematics" }
*4/28 - 6*l**3/7 + 2*l**2/7 + 24*l/7 + 1905. Find o such that c(o) = 0. -6, -1, 2 Let x(n) be the second derivative of -n**4/18 - 86*n**3/9 + 29*n**2 + 2378*n. Find u such that x(u) = 0. -87, 1 Let n(k) = -k**3 + 142*k**2 - 4999*k - 459. Let d be n(77). Find a, given that -10/7*a + 1/7*a**2 + d = 0. 3, 7 Let l be (-4)/16 + ((-476)/16)/(-7). Factor 2*w - w**2 - 47*w**3 - 50*w**3 + 95*w**3 + w**l. w*(w - 2)*(w - 1)*(w + 1) Let j be (29 + 3)/16 + 2. Let t(c) be the second derivative of 32*c - 5/12*c**j + 0 + 0*c**2 - 5/2*c**3. Suppose t(u) = 0. What is u? -3, 0 Suppose -114*f + 102*f = -12. Let j(c) = -7*c**2 - 216*c - 144. Let p(t) = 2*t**2 + t - 1. Let g(k) = f*j(k) - 4*p(k). Factor g(i). -5*(i + 14)*(3*i + 2) What is o in 2*o**3 + 0 + 0*o + 24/19*o**2 + 2/19*o**5 + 16/19*o**4 = 0? -4, -3, -1, 0 Let j = -439 - -454. Suppose 0*b**2 + j*b**2 - 9 - 6 + 10 + 0 - 10*b = 0. Calculate b. -1/3, 1 Let p = -115899/8 - -579639/40. Factor -3/5*k**2 + 0 - 3/5*k**3 + p*k. -3*k*(k - 2)*(k + 3)/5 Let t = 139 - 131. Let -6*m + m**2 - 18*m + 16 + t*m**2 + 3*m**2 - 2*m**3 = 0. Calculate m. 2 Let p be ((-23128)/(-42))/((-2)/(-3)). Determine l so that -830*l + p*l - 3*l**2 + l**5 + 7*l**2 + 3*l**3 - 4*l**4 = 0. -1, 0, 1, 2 Let n(y) = 30*y**2 + 60*y. Let j(s) = -s**2. Let z = 92 + -117. Let p(h) = z*j(h) + n(h). Factor p(l). 5*l*(11*l + 12) Let a be (-32)/9*(16680/528 - 32). Factor a*f + 2/11*f**5 + 0 - 14/11*f**4 + 36/11*f**3 - 40/11*f**2. 2*f*(f - 2)**3*(f - 1)/11 Let v(z) be the third derivative of -z**7/105 - z**6/4 - 3*z**5/5 + 26*z**4/3 + z**2 - 36*z + 29. Let v(t) = 0. What is t? -13, -4, 0, 2 Let r(m) be the second derivative of m**6/240 + m**5/30 + 5*m**4/48 + m**3/6 + 16*m**2 - 134*m. Let n(d) be the first derivative of r(d). Factor n(j). (j + 1)**2*(j + 2)/2 Let l(h) = -h**2 + 5*h - 2. Let u = 3938 - 3942. Let f(s) be the third derivative of -s**3/6 + s**2. Let p(i) = u*f(i) - 2*l(i). Factor p(o). 2*(o - 4)*(o - 1) Suppose 5 = 4*p + 3*u, 16 - 36 = -3*p + u. Let z(v) = -v**2 - 9*v - 9. Let o be z(-7). Factor -w**5 + 7*w**p + 4*w**2 - 8*w**o + 7*w**3 - w**3. -2*w**2*(w - 2)*(w + 1)**2 Let x(m) be the third derivative of 17*m**6/90 + 53*m**5/60 + 95*m**4/144 + m**3/6 - 1781*m**2. Factor x(h). (h + 2)*(4*h + 1)*(34*h + 3)/6 Suppose -80*i = -83*i + 3*g + 12, -2*g = -5*i + 8. Solve -2/9*d**3 + 8/9*d + 0*d**2 + i = 0 for d. -2, 0, 2 Let o = 668 + -605. Let k be 0 + 7 + -1 - (-57 + o). Find i, given that -6*i + k + 16/3*i**2 + 2/3*i**3 = 0. -9, 0, 1 Let b = 54 + -40. Suppose 5*k - b*d - 28 = -11*d, 5*d + 5 = 0. Solve 0*n + 3/5*n**3 + 3/5*n**4 + 1/5*n**k + 1/5*n**2 + 0 = 0. -1, 0 Let x(i) be the third derivative of 5/3*i**4 - 7/4*i**6 + 23/42*i**7 + 0*i**3 - 5/84*i**8 + 0 - 2*i**2 + 99*i + 5/3*i**5. Factor x(c). -5*c*(c - 2)**3*(4*c + 1) Suppose 0 = 7*w - 4*w + 39. Let b(h) = 15*h**2 + 5*h. Let l(t) = 7*t**2 + 3*t. Let g(i) = w*l(i) + 6*b(i). Solve g(x) = 0. -9, 0 Let b(h) be the first derivative of h**7/105 - h**5/25 + h**3/15 - 10*h + 47. Let k(q) be the first derivative of b(q). Factor k(w). 2*w*(w - 1)**2*(w + 1)**2/5 Suppose -105*h - 33 = -116*h. Factor -i**3 + 18 - 6*i**h + 108*i**2 - 48*i**2 - 5*i**3 + 69*i. -3*(i - 6)*(2*i + 1)**2 Let j be -38 - 20/(3200/(-1858280)). Factor 5/4*t**3 + 315/4*t**2 + 6615/4*t + j. 5*(t + 21)**3/4 Suppose -6*x - 26 = -9*x + 4*p, 5*x = -3*p - 5. Find a, given that -8 - 4*a**2 - 3*a - 2 + 6*a**x + 3*a**2 - 2*a = 0. -1, 2 Let a(v) be the third derivative of -85*v**2 + 33/16*v**4 + 0*v - 1089/8*v**3 - 1/80*v**5 + 0. Suppose a(l) = 0. Calculate l. 33 Let o(j) be the third derivative of 1/735*j**7 - 2/3*j**3 - 11/28*j**4 - 23/210*j**5 + 0*j + 9*j**2 - 1/140*j**6 + 4. Solve o(r) = 0 for r. -2, -1, 7 Suppose 368*j**2 - 6608*j - 733*j**2 - 3042097 + 363*j**2 - 367607 - 2048504 = 0. What is j? -1652 Let x(m) = -2*m**3 + 47*m**2 + 22*m + 53. Let k = 72 + -48. Let t be x(k). Factor -2*o - 8*o**3 - 4*o**5 + 5*o**3 + 7*o**3 + 2*o**t. -2*o*(o - 1)**2*(o + 1)**2 Suppose 0 + 5298/7*x**3 - 17280/7*x + 15/7*x**5 - 41184/7*x**2 + 93*x**4 = 0. Calculate x. -24, -2/5, 0, 5 Factor -6*h**3 - 648/7 - 270/7*h**2 - 702/7*h - 2/7*h**4. -2*(h + 3)**3*(h + 12)/7 Determine j, given that -1/3*j**4 - 3*j**3 + 29/3*j + 6 + j**2 = 0. -9, -1, 2 Let z(s) = -15*s**2 - 35*s + 35. Let d = 147 - 146. Let o(q) = 2*q + 1. Let u(j) = d*o(j) + z(j). Factor u(p). -3*(p + 3)*(5*p - 4) Let a(h) be the first derivative of 57/10*h**2 - 1/5*h**3 + 63 - 54/5*h. Factor a(b). -3*(b - 18)*(b - 1)/5 Let m be (0*14/196)/((-12)/(-6)). Let h(p) be the first derivative of -32 + m*p**4 + 4/21*p**3 - 2/35*p**5 + 0*p**2 - 2/7*p. Factor h(q). -2*(q - 1)**2*(q + 1)**2/7 Let w be 3 - 7 - (3 - 24). Find z, given that w*z - z**2 + z + 2*z**2 - 25*z = 0. 0, 7 Let j(m) be the second derivative of -m**4/28 + 53*m**3/14 + 165*m**2/7 - 10*m + 49. Factor j(q). -3*(q - 55)*(q + 2)/7 Let h(x) be the third derivative of x**5/12 - 559*x**4/48 - 14*x**3/3 + x**2 - 37*x. Factor h(l). (l - 56)*(10*l + 1)/2 Let b be 174 + 24/3 + -4. Let g = -1244/7 + b. Determine h so that -6/7*h**3 + 6/7*h - 4/7 + g*h**4 + 2/7*h**2 = 0. -1, 1, 2 Let d(g) be the third derivative of 15*g**7/56 - 743*g**6/32 - 2677*g**5/120 + 163*g**4/3 - 100*g**3/3 - 2869*g**2. Find n, given that d(n) = 0. -1, 4/15, 50 Let o be 20340/1932 - (-5 + 1)/28. Let f = 252/23 - o. Factor 0*n - 3/7*n**3 - f*n**2 + 0. -n**2*(3*n + 2)/7 Solve 2/17*h**3 - 2/17*h**2 - 580/17*h - 576/17 = 0. -16, -1, 18 Suppose 6*b = 9*b - 9, -3*b = 4*l - 97. What is m in 8*m**4 - l*m - 15*m - 8*m**2 - 32 - 4*m**4 - 11*m + 12*m**3 = 0? -2, -1, 2 Suppose -33 - 22 = -5*t. Suppose 2016 = t*j - 5*j. Suppose 87*x**2 + 513*x**3 + 43 + 104 - j*x - 519*x**3 = 0. Calculate x. 1/2, 7 Let h(l) = -4*l**2 - 119*l - 87. Let y(v) = v**2 - 4*v - 146. Let f be y(13). Let x be h(f). Factor 2/7*k**2 - 2/7 + x*k. 2*(k - 1)*(k + 1)/7 Let a be (14/21)/2*(-1 - -130). Let r = a - 40. Determine p, given that 20*p**2 + p**r + 7*p**3 - 3*p**3 + 10 + 25*p = 0. -2, -1 Suppose 118*r = 74*r + 60*r - 48. Find g such that -2 + 20/3*g**r - 46/3*g**2 + 32/3*g = 0. 3/10, 1 Suppose 120*q - 49/2*q**2 + 1/2*q**3 + 4950 = 0. Calculate q. -11, 30 Let a = 1158 - 1173. Let n be a/(-36) + (-1)/32*-8. Determine k so that -n*k**5 - 2/3*k**2 + 0 + 0*k - 2*k**3 - 2*k**4 = 0. -1, 0 Let v(f) be the third derivative of 0*f + 4*f**2 + 8 - 55/48*f**4 - 25/6*f**3 - 1/24*f**5. Factor v(u). -5*(u + 1)*(u + 10)/2 Let f(t) be the first derivative of -t**4/10 - 34*t**3/5 - 504*t**2/5 + 1568*t - 141. Factor f(n). -2*(n - 5)*(n + 28)**2/5 Let l = -3/19448 - -622345/58344. Solve 0 + 0*r**2 - l*r**4 + 6*r**5 + 0*r - 8/3*r**3 = 0 for r. -2/9, 0, 2 Let v(y) = 9*y**2 + 26. Let b(c) = 7*c**2 + 24. Suppose 0 = -10*x + 22 + 18. Let k(l) = x*v(l) - 5*b(l). Factor k(h). (h - 4)*(h + 4) Suppose -3*w + 7 = -b - 13, 0 = 2*b - 2. Suppose m + 42 = w*m. Determine g so that -37*g - m*g**2 - 245 + 2*g**2 - 33*g = 0. -7 Let j(g) be the first derivative of -g**8/2100 - g**7/50 - 2*g**6/45 - 18*g**3 + 25. Let z(i) be the third derivative of j(i). Let z(r) = 0. Calculate r. -20, -1, 0 Let n(k) be the first derivative of -k**4/24 + 92*k**3/9 - 2116*k**2/3 - 1403. Find l, given that n(l) = 0. 0, 92 Let c(o) be the second derivative of -o**7/21 + 18*o**6/5 + 29*o**5/5 - 82*o**4/3 - 19*o**3 + 110*o**2 - 1681*o. What is h in c(h) = 0? -2, -1, 1, 55 Factor -624/7*q - 51/7*q**2 - 1/7*q**3 + 676/7. -(q - 1)*(q + 26)**2/7 Let c be (-1442)/1648*(33/35 - 1). Let h(v) be the first derivative of 0*v - c*v**5 + 15/16*v**4 - 11 + 125/8*v**2 - 25/4*v**3. Find l such that h(l) = 0. 0, 5 Let z(y) be the second derivative of -1/20*y**6 + 3/10*y**5 + 5/8*y**4 + 0*y**2 - 2 + 0*y**3 + 15*y. Solve z(w) = 0 for w. -1, 0, 5 Let x(t) be the second derivative of t**5/50 + 3*t**4/5 - 5*t**3/3 - 114*t**2/5 + 10*t + 48. Factor x(m). 2*(m - 3)*(m + 2)*(m + 19)/5 Suppose 0 = -3*g + 26 - 14, -2*x - 4*g - 2786 = 0. Let m = 21019/15 + x. Solve 4/5*d**2 - m*d**4 - 2/15*d**5 + 2/3*d**3 + 0*d + 0 = 0. -3, -1, 0, 2 Let l(d) be the second derivative of -1/9*d**3 - 1/2*d**2 - 38*d + 1/36*d**4 + 1. Factor l(h). (h - 3)*(h + 1)/3 Let g(d) be the first derivative of -d**6/15 + 96*d**5/25 - 697*d**4/10 + 300*d**3 + 2080*d**2 - 4800*d + 12354. Suppose g(a) = 0. What is a? -3, 1, 10, 20 Let b(g
{ "pile_set_name": "DM Mathematics" }
ose -4*v + 14 = 2*g, -3*v = 2*v + b*g - 16. What is the units digit of v? 4 Let m(x) = -5*x**2 - 4*x + 1. Let g be m(-3). Let k = g + 73. What is the tens digit of k? 4 What is the tens digit of (-3)/(-6)*(-4 - -90) + -4? 3 Let w(h) be the first derivative of 7*h**2/2 + 3. Suppose 0 = -j, -s + j - 1 = -2. What is the units digit of w(s)? 7 Let p = 17 - -17. What is the tens digit of p? 3 Let n be (2/(-3))/((-8)/36). Let r = -9 + n. What is the units digit of r/(-15) + (-54)/(-15)? 4 Let x(f) = f**2 - f - 4. Let l be x(3). Let q(c) = c - 3*c + 3*c + 8*c**l. What is the units digit of q(1)? 9 Suppose 4*t + 6 = -5*y - 2, -5*t + 11 = y. Suppose 85 = t*h - 14. What is the units digit of h? 3 Let o be (-18)/(-8) - 9/36. Suppose -d + 3*d - 14 = -h, o*h = d + 18. What is the tens digit of h? 1 Suppose 1 = t + 2*o - 12, 4*t = -3*o + 27. Suppose 150 = -t*z + 8*z. What is the tens digit of z? 3 Let u(m) = -14*m**2 + 2*m - 5. Let k(f) = 14*f**2 - 3*f + 6. Let q(r) = -4*k(r) - 5*u(r). What is the units digit of q(-1)? 3 Let d = 19 - 15. What is the units digit of d? 4 Suppose z = -k - 2*k + 26, -4*z + 5*k = -19. Suppose 36 = 5*x + z. Suppose -2*i = -2*j - 20, x*i + 0*j + 4*j - 41 = 0. What is the units digit of i? 9 Let l(n) = -n**2 + n - 2. Let d be l(-2). Let z(h) = -3*h + 1. Let i be z(-5). What is the tens digit of (-130)/d - 4/i? 1 Suppose 2*c + 4 + 5 = v, 4*v - 30 = 5*c. What is the units digit of v? 5 Let l = -4 + 8. Suppose -8 = -l*r + 3*r. What is the units digit of r? 8 Let j(y) = y**3 + 4*y**2 - y + 2. Let u be j(-4). Let h(v) = -7*v**2 + 4*v**2 + u*v**2 + 7*v**2. What is the units digit of h(-1)? 0 Let b be -1 - ((-8)/(-4))/2. Let m(g) = -2*g - 4. Let v(s) = 5*s + 9. Let n(h) = -13*m(h) - 6*v(h). What is the units digit of n(b)? 6 Let m = -3 - -8. Suppose 5*t = -u + 46, 4*u + m*t - 7*t = 96. What is the units digit of u? 6 Let u(w) be the second derivative of -w**5/20 - w**3/6 + w**2/2 - w. Let y be u(0). Suppose 11 = 2*t - y. What is the units digit of t? 6 Suppose -4*k = 2*w - 2, -5 = 4*k - k - 5*w. Let c = 3 - k. Suppose 0 = v + 4*q - 2, -5*v + 43 = 5*q + c. What is the units digit of v? 0 Let g = -5 - -10. Suppose g*l + 80 = 4*a, -2*a - 40 = -6*a - 5*l. What is the tens digit of a? 1 Let v(w) = -w**3 - 5*w**2 + 6*w + 6. Let p be v(-6). Suppose p*q - 20 = q. Suppose q*g = -0*g + 12. What is the units digit of g? 3 Let z = -14 - -11. Let y(r) = 3*r**2 - 3*r + 3. What is the units digit of y(z)? 9 Let x be ((-1)/(-1))/(4 + -3). Let a be x + -2*1 - 2. Let f = 6 + a. What is the units digit of f? 3 Let n(a) = -49*a**3 + 3*a**2 + 4. Let i(q) = 33*q**3 - 2*q**2 - 3. Let y(b) = -7*i(b) - 5*n(b). What is the units digit of y(1)? 4 Let t(b) = -6*b - 6. Let i be t(-6). Suppose 4*s = i + 2. Let h = s - 2. What is the units digit of h? 6 Suppose 0 = -h + 5*h - 440. What is the tens digit of h? 1 Let r(z) = 2 + 0 + 3*z + 8*z. Let u be r(2). Suppose u = 3*g - 0. What is the units digit of g? 8 What is the units digit of 274*(20/8)/5? 7 Suppose -y = -0 + 3. Let r be (-4)/y*18/(-4). Let h = 11 + r. What is the units digit of h? 5 Let u = 9 + 3. Suppose -6*d = -3*d + u. What is the units digit of (2/(-4))/(1/d)? 2 Suppose 9 = 5*k - 1. Suppose -6 = -a - k. Suppose 0 = -a*d + 18 + 2. What is the units digit of d? 5 Let a(y) = -y**2 - 6*y - 2. Let l be a(-4). Let k = 4 + l. What is the units digit of (12/10)/(4/k)? 3 Suppose -9 = 4*s + 7. Let m = s + 1. What is the units digit of (4 + m)*9*1? 9 Suppose -2*f = -3*s - 104, 5*f - 76 = -s + 218. Suppose 3*b = -12, -5*j + b - 9 = -f. Let a = -3 + j. What is the units digit of a? 6 Let t = -3 - 4. Let n = -4 - t. Suppose -37 = -4*y + n*q, 0 - 72 = -4*y - 4*q. What is the tens digit of y? 1 Let z(n) = 3*n - 13. Let w be z(7). Suppose -3*d + 3*t + 2 = w, 0 = -d - t + 4. What is the units digit of d? 1 Suppose 0 = -8*a + 3*a + 2*y - 35, 2*a + 35 = 5*y. Let k = a - -12. What is the units digit of k? 7 Suppose -3*p = -5*j + 3848, -2122 - 958 = -4*j + 2*p. What is the units digit of (-2)/(-15) - j/(-60)? 3 Suppose -g = -3*g + 6. Suppose g*i = 7*i - 20. What is the units digit of i? 5 Suppose 0 = g + g - 4. Suppose r = 4*j + 6, -g*j - 2 = -0*j. What is the units digit of r? 2 Suppose d + w + 2*w = -2, 3*w = -2*d + 8. What is the units digit of d? 0 Let x(q) = 25*q + 15. What is the hundreds digit of x(4)? 1 What is the tens digit of (-30)/2*(-50)/30? 2 Let q(t) = -t**3 + 9*t**2 - 9*t + 15. What is the units digit of q(6)? 9 Suppose -3*y = -2*y + 5. Let j = 19 - y. What is the units digit of j? 4 Let n = 20 - -78. What is the tens digit of n? 9 Let j(m) = -2*m - 6 + 4 - 4. Let a(g) = -4*g + 39. Let o be a(11). What is the units digit of j(o)? 4 Suppose -2*k - 6 = 4*u, -2*u + 16 = -6*u. What is the units digit of k? 5 Suppose 7*s = 2*s. Suppose -o = 3*y - 7, s = 5*o - y - 2*y - 107. What is the units digit of o? 9 Let o = 46 - 27. Suppose -3*i - 4*r - 6 = -0*i, 5*i = 3*r + o. What is the units digit of (3 - i - -2) + -2? 1 Let g = 11 + -9. Let l be 3/(-6) + 25/g. Suppose l = 3*a - 0*a. What is the units digit of a? 4 Let p(r) = -r**3 - 2*r**2 + 2*r + 4. Let x be p(-3). Let b = 16 - x. Let a(w) = w - 4. What is the units digit of a(b)? 5 Let a = -8 + 8. Suppose -2*x = a, c = -2*c - 2*x + 15. Let l = c + -3. What is the units digit of l? 2 Let q be -17 + 3 + 0 - 3. Suppose -4*t = -5*j + 19 + 5, -5*t = -4*j + 30. Let v = t - q. What is the tens digit of v? 1 Suppose -60 = -4*f + 24. Let p = f - 9. What is the tens digit of p? 1 Let i = 87 + -64. What is the units digit of i? 3 Suppose 0 = -4*w + 7 + 13. What is the units digit of w? 5 Let j(z) = 3*z + 13. Let s be j(9). What is the tens digit of s*((-4)/10)/(-1)? 1 Suppose -2*i + 4*n = -10, -4*n = 3*i - 6 + 1. Suppose -2*c - i*f = 2*f - 24, 0 = 4*c + f - 66. What is the tens digit of c? 1 Suppose 5*l - 5*m - 25 = 0, -20 = -3*l + 5*m - m. Suppose 5 = 5*t - 5. Suppose g - t = -l. What is the units digit of g? 2 What is the units digit of 102/1 + (-3)/3? 1 Let v = -237 - -343. What is the units digit of v? 6 What is the hundreds digit of (-14 - -15)/(2/8) - -175? 1 Let u(x) = -x - 1. Let l be u(-9). Let s(d) = -d + 11. What is the units digit of s(l)? 3 Suppose 11 - 32 = -3*c. Let m be 6/3*(-10)/4. Let l = c + m. What is the units digit of l? 2 Let v = -58 - -70. What is the units digit of v? 2 Let j(m) = m**3 + 14*m**2 + 4*m - 32. What is the units digit of j(-13)? 5 Let a(q) = -23*q + 3. What is the units digit of a(-2)? 9 Let w(g) be the second derivative of g**5/20 + 5*g**4/12 - g**3/3 - 5*g**2/2 + 2*g. Let u be w(-5). Suppose -u*s + 3 = -2. What is the units digit of s? 1 What is the tens digit of ((-32)/(-40))/(1/70)? 5 Let r(a) = a**2 - a - 2. Let u be r(3). Suppose 4*t - u = 4. Suppose t*y + 12 = 4*z, -4 = y - 5*y + z. What is the units digit of y? 2 Let n = -51 + 91. Suppose 5*m + l - n = 0, 3*l = m - 6*m + 40. Suppose m = 4*q + 3*c, 0 = 5*q - c - 5 - 5. What is the units digit of q? 2 Suppose -4*x + x + 13 = -2*c, c + 2 = 3*x. Let h(s) = s**3 + 11*s**2 - 2*s - 14. What is the units digit of h(c)? 8 Let p(k) = -4*k - 1. Let h be p(2). Let n(a) = -2*a - 4. Let l be n(h). What is the units digit of 7/l - 7/(-2)? 4 Let d = 5 - -13. Let f = 32 - d. What is the units digit of f? 4 Let z(q) = 7*q + 6. Let v be z(5). Let n = v + -29. What is the units digit of n? 2 What is the hundreds digit of (-42)/7*(-76)/3? 1 What is the tens digit of (-8)/10*1960/(-8)? 9 Let r(h) = -h**3 - 7*h**2 - 6*h + 6. What is the units digit of r(-6)? 6 Let i(h) = 53*h**3 - 2*h**2 + 2*h. What is the tens digit of i(1)? 5 Let k be 6/(-27) + 384/27. Let o = 28 - k. What is the units digit of o? 4 Let q be 5/15*-3 + 71. Let r(c) = c**3 + 7*c**2 + 2*c. Let l be r(-6). Suppose -3*f = -3*t - l, -4*f = f + t - q. What is the units digit of f? 3 Suppose 0 = -0*p + 3*p. Suppose p = -7*x + 3*x + 60. What is the tens digit of x? 1 Let q(o) = 19*o - 26. What is the tens digit of q(5)? 6 Suppose -5*a + 6*n - 5*n = -647, -5*a = 3*n - 659. Suppose 5*k + 11 = 4*r + a, r - 4 = 0. What is the units digit of k? 7 Let m(a) = -a**2 + 3*a + 1. Let j be m(5). What is the units digit of 0 + -1 + 37 + j? 7 Suppose -210 = -4*x + 110. What is the units digit of x? 0 Suppose 9 - 201 = -3*m. Suppose 4*b - m = 52. What is the
{ "pile_set_name": "DM Mathematics" }
Is 8/(-10) + (v/(-35))/(-9) composite? True Let u(m) = -m**2 - 14*m - 24. Let q be u(-10). Suppose 0 = x - 4, 2*o = o - 4*x + q. Is o - (-8)/(-4) - -1503 composite? True Let b(q) = 0*q - 3*q - 26 + 4*q - 3*q. Let j be b(-14). Suppose 3678 = j*r + 4*k, 0*k + 1838 = r + 3*k. Is r a prime number? False Let h(j) = -j - 12. Let x be h(-15). Let o(r) = 2*r**3 + 2*r**2 - r + 5. Let v be o(x). Is -4 + 154/4*v prime? False Suppose -2*r + 17 + 7 = 0. Let b be (1 - 4) + 3/(r/(-16)). Is (2/6)/(b/(-20139)) composite? True Let f(a) = 14339*a + 1990. Is f(9) prime? True Let s = 48 - -50. Suppose s = -12*w + 19*w. Suppose -5*t = -w*t + 6651. Is t composite? False Suppose -20*h - 337617 = -23*h - 2*k, 5*k + 337659 = 3*h. Is h composite? False Let z(m) = m**3 + 41*m**2 - 99*m - 22. Is z(-23) prime? True Let u(l) be the first derivative of 34*l**3/3 + 33*l**2 + 33*l + 60. Is u(-14) prime? False Suppose -19 = -4*o - 3. Suppose -3*f - 3*j + 6 = 0, f - o*j + 1 = 23. Suppose -5*h - 1043 = -f*h. Is h composite? True Is (5/(-10)*(-4)/(-2))/((-1)/158993) a composite number? False Let m(z) = -9*z**3 + 14*z**2 - 7*z + 11. Let d(q) = -5*q**3 + 7*q**2 - 4*q + 5. Let w(n) = -7*d(n) + 4*m(n). Suppose 5 = 2*g - 5. Is w(g) composite? False Let i(u) = -29*u**2 + 10*u - 54. Let t(q) = q**2 + q + 1. Let g(s) = -i(s) + 6*t(s). Is g(-11) composite? False Let t(h) = h**3 - h**2 + 3*h + 1043. Let y = -54 + 54. Is t(y) a prime number? False Let g(u) = 65*u + 191. Let j be g(-3). Let z(x) = x**3 - 6*x**2 + 4*x + 7. Let h be z(5). Is ((-1)/(-12)*j)/(h/(-2274)) composite? False Suppose a = v - 5 + 7, 4*v - 5*a = -12. Suppose 3*o + v*o - 64645 = 0. Is o a prime number? False Let j(r) = 9346*r**2 - 87*r - 173. Is j(-2) a composite number? True Let x = -16983 - -22952. Is x prime? False Suppose -3*o + 139 = 169. Let u be (o + 7)/(2/(20/(-3))). Let a(p) = p**3 - p**2 - 13*p + 24. Is a(u) prime? False Suppose 0 = -5*t + 25, -3*x = 2*t - 21858 - 1627. Suppose -i + 11760 = -4*g - 3881, 5*i = 2*g + x. Is g/15*-3*(-1)/(-2) prime? False Suppose 5*q - 170 = -110. Is (-4629)/(-18) - 0 - q/72 a prime number? True Let n(p) = 44 + 2*p + 5 - 16. Let c be n(-9). Suppose 3*w - 96 = c. Is w a prime number? True Let s = -300359 - -501058. Is s a prime number? True Suppose 15 = 3*y, -4*x = -5*y + 2*y + 271. Let u = x - -64. Suppose -q + 1864 - 483 = u. Is q composite? False Let p(w) = 9*w**2 + 9*w + 19. Suppose 0 = -3*x - 3*x + 48. Is p(x) composite? True Is 10 + (3 + -3 - -9523) a composite number? False Let x(m) = 35*m**2 + 80*m + 1345. Is x(-34) a prime number? False Suppose 55669 = -5*f + 156694. Suppose -7 + 1 = 21*w - 6. Suppose w = 12*a + 6753 - f. Is a composite? True Let r(d) = -25840*d + 613. Is r(-12) prime? True Let u(s) = 10*s**3 - 56*s**2 + 21*s + 98. Is u(27) a prime number? True Let c(j) = -16*j + 2513. Let h(v) = -v**2 - 8*v - 15. Let q be h(-5). Is c(q) composite? True Let b(x) = 11795*x + 5021. Is b(18) prime? False Let z = 367171 + 715480. Is z composite? True Let w(v) be the second derivative of -v**5/20 - 2*v**4/3 - 5*v**3/6 - 19*v**2/2 - 47*v. Is w(-14) a prime number? False Suppose 8*v - 5353156 = 4*v - 5*d, -d = 8*v - 10706384. Is v a prime number? True Let y be 3/(-7) - (715/(-35) - -4). Suppose -6996 = -y*z + 4*z. Is z a composite number? True Let o be 21/(-2)*96/(-9). Let k be (1401/(-4))/((-21)/o). Let y = k - 1327. Is y composite? False Suppose 0 = 10299*w - 10278*w - 126164031. Is w prime? True Let l be -118*(-2)/8*92. Suppose 0 = -4*d - 2565 - 3015. Let r = d + l. Is r a composite number? False Is ((-4)/(-28) - (-10)/(-35)) + (-12618840)/(-364) a prime number? True Suppose -2*g = -2*s - 4*g - 44, 0 = 2*s - 3*g + 49. Let a(y) = -y**2 - 29*y - 20. Is a(s) prime? False Suppose -55*w = -91*w + 59*w - 25487197. Is w a prime number? False Suppose -351*w - 7991900 = -346*w. Is 4/18 + w/(-252) composite? False Suppose 4*n = -3*k - 3 + 2, 2*n = -3*k - 5. Let d be 2730/n + 12/((-12)/(-3)). Suppose -v + d = -877. Is v a prime number? False Suppose -6*l = -8*l + 2. Let q(z) = z**3 - 6*z**2 - 3*z + 18. Let i be q(6). Is l + i - (11 - 4941) prime? True Let o = -827959 - -1516074. Is o composite? True Let s(v) be the third derivative of v**6/120 - 17*v**5/30 - 13*v**4/12 - 19*v**3/6 + 72*v**2. Is s(36) a composite number? False Let d be (-6)/6 - (-16197)/1. Suppose 4*q + 0*q - d = 0. Is q prime? True Let z be ((-36)/15)/(5 + (-53)/10). Suppose -28 = -z*p - 4. Is (1814/p)/((-8)/(-12) + 0) a prime number? True Let b(x) be the first derivative of 10*x**3/3 - 7*x**2 + 61*x + 58. Is b(12) prime? False Suppose 10*b - 5*f - 82088 = 7*b, 0 = 4*f + 4. Is b a prime number? True Suppose -29122 = -10*z + 188188. Is z composite? True Suppose -2*t = 3*j + 795, 3*t - 7*t + 5*j = 1579. Is (-9)/(t/(-8)) + (-1399)/(-11) composite? False Let g be 7 - (-1 + 6) - -5010. Suppose -3*t + g + 1699 = 0. Let z = 4068 - t. Is z prime? True Is 735020/221 + 2 + (-32)/17 prime? False Let s(j) be the first derivative of 13*j**2/2 + 5245*j - 82. Is s(0) prime? False Suppose 435930 = 2*i - 9*s + 10*s, 5*s = -40. Is i composite? False Let l(g) = -11*g - 82. Let y be l(-7). Is -3163*(7/28 + y/4) prime? True Suppose -165 = 8*q - 189. Suppose 0 = o - 3*j - 12088, q*j + 6831 = -3*o + 43131. Is o a composite number? False Suppose -18 = -t - 3*r, -2*t + 3*r = -r + 14. Suppose -a + 5 = 4*q, 2*q - 2*a + 11 = -7*a. Suppose -2*d + d = -3, q*h + t*d - 2243 = 0. Is h a composite number? False Let l(t) = 35611*t**2 + 143*t + 605. Is l(-4) a prime number? True Let q be (24/(-10))/((-2)/(-85)). Suppose -321*o = -328*o + 1519. Let g = o + q. Is g a composite number? True Let j(r) = 16*r + 12. Let w = 23 - 17. Let t be j(w). Suppose 0 = n - 3, -2*y + 2*n - t = -2020. Is y a composite number? True Let x(k) = -k**3 - k**2 + 2*k + 1. Let r be x(2). Let c be r/(-6)*-4*(-1047)/2. Let l = c - -2488. Is l prime? True Let a = 2588 - 1469. Let v = a - 1575. Let d = 85 - v. Is d composite? False Let h be 6 + 0/((-3)/(3 + -6)). Is 16420/10*3/h a prime number? True Let y(z) = -158*z - 16 + 2 - 8 - 65*z. Is y(-15) prime? True Suppose 61*b - 1109214 = 1618889. Is b prime? False Let w(r) = 36*r**2 + 3*r - 4. Suppose 0 = 6*x + 98 + 40. Let q = x + 16. Is w(q) a prime number? False Let f be (11849 - -1) + 7 + (-2 - 4). Suppose -18*k - f = -25*k. Is k composite? False Let r be ((-3)/4)/(-1) - 626535/(-60). Suppose -14*z + r = -14435. Is z a composite number? False Suppose -17*i + 82444 + 37134 = 0. Suppose 0 = a + v - i, -2*v - 21127 = -2*a - a. Is a a prime number? True Let p(g) = -2*g**2 - 62*g - 161. Let j be p(-28). Let x(q) be the third derivative of 19*q**4/8 + 10*q**3/3 + 2*q**2. Is x(j) prime? True Suppose -1627695 = -11*d + 5598656. Is d a composite number? True Let l be (-63)/(-2) + (-12)/24. Is -31 + l - -12953*1 a composite number? False Let b(y) be the second derivative of -33*y**5/20 - 11*y**4/12 + 17*y**3/6 + 175*y**2/2 + 3*y - 7. Is b(-6) composite? True Let o = 350698 + -135135. Is o prime? True Let v(f) = 197*f**2 + 4. Let a be v(-5). Suppose 4*t - y = 16061 + 3693, -5*y = -t + a. Suppose -8*u + t = 3*u. Is u composite? False Let g be (1024/14 - -4) + (-7)/49. Let u = 182 + g. Is u a prime number? False Suppose -u - 5*k + 28 = 0, -29*u + 26*u + 2*k = 1. Suppose u*z - 3*p - 20405 = -2*p, -4*p - 20393 = -3*z. Is z a prime number? True Let j be (-2 + 3 + -3)*1. Let l be (595/(-2) + 0)*j. Suppose 0 = -76*w + 71*w + l. Is w prime? False Suppose 534 = i + w, 0*w - 1064 = -2*i - 4*w. Let n = i - 1050. Is (-8 - 1 - -3)/(4/n) prime? False Suppose 42898 = 8*t + 7930. Suppose -33513 = -4*n + c + t, -2*n + 3*c = -18932. Suppose v = -5*w + n, 0 = 3*w + 3*v - 1658 - 4018. Is w prime? False Suppose p - 465 = 2*f - 86, 2*f + 1919 = 5*p. Suppose -7818 = -13*z + p. Is z prime? True Suppose 13*x - 630157 = 89302. Is x composite? False Let r = -24633 - -12464. Let o = r + 17570. Is o prime? False Let g be ((-3096)/32)/((-1)/(-4)). Let y = 1546 + g. Is y composite? True Suppose -4*k - 74 = -2*k. Let h = k - -34. Is h/(1*(-3)/1437) a prime number? False Let d = 13 + -13. Suppose d = 5*p - 5*k + 1275, 3*p = 6*p - k + 773. Let c = -132 - p. Is c a prime number? True Suppose 3*a + 113 = 2*t, -8*a = t - 3*a - 89. Is 3/(-4) + 365296/t a composite number? True Sup
{ "pile_set_name": "DM Mathematics" }
-4*o(d) - 9*w(d). Find the third derivative of u(h) wrt h. -216*h Differentiate 5 + 6 - 5 + 14*v + 2 with respect to v. 14 Suppose -2*g + 14 = -m + 6*m, m - 3*g - 13 = 0. Suppose 0*x = -m*x + 8. Differentiate 1 - x + 3 + 2*l**3 with respect to l. 6*l**2 Let p(x) be the second derivative of 0*x**4 - 5/6*x**3 + 0*x**2 - 1/10*x**5 - 3*x + 0. What is the second derivative of p(h) wrt h? -12*h Let n(k) be the first derivative of -2*k**6/3 - 13*k**3/3 - 13. What is the third derivative of n(r) wrt r? -240*r**2 Let x(y) = -3*y**2 - y**3 + 5*y**2 + 0*y**3 + y. Let j be x(-1). What is the second derivative of -j*n**2 - n**5 + 2*n**2 - 2*n wrt n? -20*n**3 Let y(s) = -s**2 - 2*s - 5 + 4*s - 8*s. Let v be y(-4). What is the second derivative of -2*z**3 + 3*z**3 + 0*z**v - 2*z wrt z? 6*z Let h(g) be the first derivative of 13*g**4/4 - 7*g + 3. Find the first derivative of h(v) wrt v. 39*v**2 Differentiate 8*b**2 + 8*b**2 - 10*b**2 - 10 wrt b. 12*b Let u(i) be the first derivative of -19*i**5/5 + i**2 - 11*i + 43. Find the second derivative of u(h) wrt h. -228*h**2 Let g(f) = f - 8. Let i be g(10). What is the derivative of 2*q**2 - 5*q**2 - 1 + 4*q**i - 5*q**2 wrt q? -8*q Let g(t) = 3*t**3 - 3*t**2 + 2. Let v(u) = u**2 + 4*u - 8. Let b be v(-6). Let z(x) = 3*x**3 - 4*x**2 + 3. Let o(d) = b*g(d) - 3*z(d). Differentiate o(q) wrt q. 9*q**2 What is the second derivative of 6*w**4 - 3*w**4 + 0*w**4 - 5*w**4 + 8*w wrt w? -24*w**2 Let a(n) = -6*n**2 - 7*n. Let t(j) = -13*j**2 - 13*j. Let o(g) = 5*a(g) - 3*t(g). Find the second derivative of o(h) wrt h. 18 Let z(x) be the third derivative of 0*x**3 + 0*x**5 + 0*x**6 + 0*x + 0 - 2*x**2 - 5/24*x**4 - 2/105*x**7. Find the second derivative of z(i) wrt i. -48*i**2 Let g(o) be the second derivative of -9*o**4/4 + 5*o**3/2 + 26*o. What is the second derivative of g(m) wrt m? -54 What is the third derivative of 3*z**5 + 2*z**2 - 3*z**2 + 0*z**2 wrt z? 180*z**2 What is the third derivative of 27*k**2 + 0*k**2 + 7*k**2 + 34*k**6 wrt k? 4080*k**3 Let o(g) be the second derivative of 5*g**6/6 - 2*g**3 + 35*g. Find the second derivative of o(z) wrt z. 300*z**2 Suppose 0 = 3*m + 2 - 8. Find the third derivative of -b**4 - m*b**4 - 3*b**4 - 4*b**2 wrt b. -144*b Suppose -4*v - 40 = 2*m, -m = -0*v + v + 10. Let p be (-46)/v + 6/15. What is the third derivative of -2*x**p + 2*x**2 - 4 + 4 wrt x? -120*x**2 Let r(v) be the second derivative of -v + 0*v**6 + 1/2*v**3 + 0*v**4 + 0 + 0*v**5 + 0*v**2 - 1/21*v**7. What is the second derivative of r(g) wrt g? -40*g**3 Let b(t) be the second derivative of 0 + 0*t**4 + 0*t**6 - 1/42*t**7 + 0*t**2 - 3*t + 1/6*t**3 + 0*t**5. Find the second derivative of b(r) wrt r. -20*r**3 What is the first derivative of 2*k**4 + 15 - k**4 + 5*k**4 - 5*k**4 wrt k? 4*k**3 Let w(n) = -n**4 + n**3 + n**2 - 1. Let h(a) = 6*a**5 - 2*a**4 + 2*a**3 + 7*a**2 - 2. Let d(f) = h(f) - 2*w(f). Find the third derivative of d(z) wrt z. 360*z**2 Suppose -3*w - 35 = -5*i + w, -3*w - 21 = -2*i. What is the derivative of -11 + d + i - 7*d - 2*d wrt d? -8 Let l = -20 + 22. Let h = 7 + -4. What is the second derivative of m**2 - 2*m**l + h*m - m**2 wrt m? -4 Let w(f) be the second derivative of -17*f**5/20 - 5*f**2/2 - 14*f. Find the first derivative of w(u) wrt u. -51*u**2 Let f(x) be the first derivative of x**3 + 0*x**4 + 2 + 0*x + 0*x**2 - 6/5*x**5. What is the third derivative of f(b) wrt b? -144*b Let p(o) = o**5 - o**3 - o**2. Let w(i) = 7*i**5 - 6*i**3 - 22*i**2. Let j(a) = 6*p(a) - w(a). What is the third derivative of j(u) wrt u? -60*u**2 Let y(v) = v - 1. Let p be y(1). Suppose p = 4*m - m - 6. Find the second derivative of -36*z + z**4 - m*z**4 + 35*z wrt z. -12*z**2 Let u(z) be the second derivative of -7*z**3/6 - 5*z**2/2 - 7*z. Differentiate u(o) wrt o. -7 Let i be ((-4)/(-5))/((-6)/(-15)). Suppose -4*k + r + 1 = 0, -i*r + 5*r = -2*k - 3. Find the second derivative of k*c + c**2 - c - 4*c**2 wrt c. -6 Let y(u) be the second derivative of -7/2*u**2 + 0 + 2/3*u**3 + 6*u. What is the first derivative of y(p) wrt p? 4 Let h(b) = 4*b**3 - 2*b + 11. Let f(x) = -3*x - 2 + 14 - 14*x**3 + 18*x**3. Let g(q) = 2*f(q) - 3*h(q). Differentiate g(a) wrt a. -12*a**2 Let d(z) = -12*z - 1. Let i(u) = 6*u + 1. Suppose -s + 1 - 5 = 0. Let g(p) = s*d(p) - 9*i(p). Find the first derivative of g(f) wrt f. -6 Let f(r) = -63*r**2 + 91*r + 28. Let c(i) = -7*i**2 + 10*i + 3. Let l(z) = -28*c(z) + 3*f(z). What is the second derivative of l(t) wrt t? 14 Let q(u) = -3*u**4 - 2*u**3 + 4*u**2 + 2*u. Let p(o) = -3*o**4 - 3*o**3 + 3*o**2 + 3*o. Let s(i) = -2*p(i) + 3*q(i). Find the third derivative of s(h) wrt h. -72*h What is the derivative of 58 - 68 + 0*r**4 - r**4 wrt r? -4*r**3 Let o(g) = -33*g**3 + 7*g**2 + 33. Let x(j) = 11*j**3 - 2*j**2 - 11. Let h(p) = 2*o(p) + 7*x(p). Differentiate h(r) with respect to r. 33*r**2 Let v(k) = -k**3 - 6*k**2 - 6*k - 5. Let t be v(-5). Let g = t - -2. Find the third derivative of 2*s**2 + 0*s**3 - s**3 + 0*s**3 + g*s**3 wrt s. 6 Let g(z) = -z + 7. Let h = 5 + 0. Let b be g(h). Find the third derivative of 5*n**2 + 5*n**2 + n**6 - 11*n**b wrt n. 120*n**3 Let p = 5 - 3. Find the first derivative of -11 + 12 + 5*w**2 - 3*w**p wrt w. 4*w Let v(z) be the first derivative of 5*z**6/3 - 2*z**2 + 3. What is the second derivative of v(f) wrt f? 200*f**3 Let l(a) be the first derivative of -a**5/10 + 4*a**2 + 7*a + 2. Let v(y) be the first derivative of l(y). Differentiate v(b) wrt b. -6*b**2 Let o = 51 + -47. Let g(h) be the second derivative of 0 + 3/2*h**2 + 0*h**3 + 1/20*h**5 - 2*h + 0*h**o. What is the derivative of g(w) wrt w? 3*w**2 Let b(c) = 29*c**2 + 6*c + 22. Let w(m) = 88*m**2 + 17*m + 65. Let g(s) = -17*b(s) + 6*w(s). Find the first derivative of g(x) wrt x. 70*x Let l(r) be the first derivative of 5*r**3/3 - 3*r**2 - 2. What is the second derivative of l(h) wrt h? 10 Let w(j) = j**2 - j - 4. Let g be w(3). Find the second derivative of -8*h**4 - g*h**4 + 4*h**4 - 3*h wrt h. -72*h**2 Find the second derivative of -4*l**3 + 18*l - 5*l**5 + 5*l**3 - l**3 wrt l. -100*l**3 What is the second derivative of 3*k + 24*k**2 - 27*k**2 - 10*k wrt k? -6 Suppose d + 4 = 7. What is the third derivative of 4*n**2 - n**2 + d*n**5 - 4*n**2 wrt n? 180*n**2 Let d = 7/16 - -17/16. Let b(q) be the first derivative of d*q**2 - 1/2*q**4 + 0*q + 3 + 0*q**3. What is the second derivative of b(p) wrt p? -12*p Let h(d) be the second derivative of -1/12*d**4 - 3/2*d**2 + d + 0 + 0*d**3. Differentiate h(w) wrt w. -2*w Suppose 0 = -b + 16 + 46. Find the third derivative of 5*h**2 - 64*h**6 - 12*h**2 + b*h**6 wrt h. -240*h**3 Let c be 2/5 + (-26)/(-10). Let j be (c/5)/(2/10). What is the first derivative of 4*x**4 + 0*x**4 - j*x**4 - 1 wrt x? 4*x**3 What is the second derivative of -23*b + 3*b + 17*b**4 - 9*b wrt b? 204*b**2 Let m be 4/((-12)/9) + 7. Find the second derivative of -3*q + 4*q**3 - m*q**3 + q**5 wrt q. 20*q**3 Let j(q) be the third derivative of 2*q**2 - 1/210*q**7 + 0*q + 0 - 1/8*q**4 + 0*q**6 + 0*q**3 + 0*q**5. What is the second derivative of j(z) wrt z? -12*z**2 Let l = -94 - -149. Suppose -7 + 2 = -5*f. What is the first derivative of -f + 2*u**2 + l*u - 55*u wrt u? 4*u Let h(d) = -2*d + 11. Let v(i) = i + 2*i - 2*i - 7. Let s(j) = -5*h(j) - 8*v(j). What is the derivative of s(b) wrt b? 2 Let q(t) = t**2 - t - 1. Let r be q(3). Find the first derivative of 3*i**2 + 7*i - 7*i + r + 0*i**2 wrt i. 6*i Let r(m) be the second derivative of -5*m**4/6 - 13*m**3/6 - 14*m. What is the second derivative of r(c) wrt c? -20 Let a(m) be the second derivative of -m**10/7560 - m**7/630 + m**4/6 - 9*m. Let h(s) be the third derivative of a(s). Find the third derivative of h(p) wrt p. -240*p**2 Let w be (4/(-10))/((-1)/30). What is the second derivative of 0*r**2 - 10*r + w*r + 6*r**2 wrt r? 12 Let y = -19 - -22. Differentiate y*h**4 + 54*h - 54*h + 6 with respect to h. 12*h**3 Let x(a) be the second derivative of -3*a**5/10 - a**3/3 + 8*a**2 + 13*a. Differentiate x(h) wrt h. -18*h**2 - 2 Let c(r) be the second derivative of -r**7/6 + 2*r**3/3 + 13*r. What is the second derivative of c(l) wrt l? -140*l**3 What is the second derivative of 20*k**4 - 38*k - 30*k + 15*k + 2*k**3 wrt k? 240*k**2 + 12*k Suppose -k + 2 = -1. Differen
{ "pile_set_name": "DM Mathematics" }
0 a multiple of 4? True Does 35 divide 41020? True Does 13 divide 481? True Is 9 a factor of 26318? False Is 85 a factor of 7820? True Does 21 divide 1526? False Does 7 divide 6713? True Is 28 a factor of 188? False Does 24 divide 8617? False Does 6 divide 1753? False Is 1048 a multiple of 49? False Is 64 a factor of 2607? False Does 13 divide 1079? True Is 17 a factor of 10948? True Is 91 a factor of 100560? False Does 11 divide 143? True Is 64 a factor of 768? True Is 759 a multiple of 11? True Is 124 a factor of 4712? True Is 1072 a multiple of 52? False Does 190 divide 93976? False Is 674 a multiple of 60? False Does 12 divide 16236? True Is 2 a factor of 314? True Is 10089 a multiple of 177? True Does 35 divide 315? True Is 8 a factor of 499? False Is 33540 a multiple of 26? True Is 18 a factor of 2253? False Is 885 a multiple of 23? False Is 5 a factor of 8265? True Does 18 divide 1116? True Does 2 divide 5407? False Does 9 divide 1458? True Does 10 divide 3661? False Is 6951 a multiple of 30? False Is 48001 a multiple of 68? False Is 18699 a multiple of 69? True Is 7 a factor of 11816? True Does 25 divide 93344? False Does 25 divide 2775? True Is 80 a factor of 6480? True Is 15607 a multiple of 16? False Is 11590 a multiple of 19? True Is 40 a factor of 27800? True Is 846 a multiple of 49? False Is 2176 a multiple of 17? True Is 34 a factor of 17374? True Does 9 divide 25285? False Is 21 a factor of 5102? False Is 71082 a multiple of 33? True Is 325 a multiple of 13? True Does 103 divide 4281? False Is 22 a factor of 2823? False Is 201 a multiple of 7? False Is 24 a factor of 1680? True Is 8 a factor of 3681? False Is 580 a multiple of 29? True Is 2470 a multiple of 19? True Is 3102 a multiple of 3? True Does 3 divide 48? True Is 8 a factor of 2976? True Is 2678 a multiple of 13? True Is 40 a factor of 434? False Is 27 a factor of 5400? True Is 37 a factor of 11544? True Does 128 divide 72448? True Does 27 divide 61988? False Does 9 divide 26415? True Is 123018 a multiple of 42? True Is 15 a factor of 260? False Does 62 divide 4774? True Is 360 a multiple of 16? False Is 14 a factor of 343? False Is 122 a factor of 88572? True Is 319 a multiple of 11? True Is 7 a factor of 1771? True Is 76 a multiple of 19? True Is 12284 a multiple of 37? True Is 8 a factor of 5136? True Is 38 a factor of 114? True Is 1075 a multiple of 25? True Does 6 divide 12534? True Is 29 even? False Does 5 divide 43? False Is 54 a factor of 3078? True Is 36 a factor of 2484? True Does 2 divide 612? True Is 3 a factor of 92? False Is 10 a factor of 267? False Does 12 divide 10128? True Is 93 a factor of 17856? True Is 42 a factor of 3542? False Does 12 divide 361? False Is 440 a multiple of 73? False Is 28 a factor of 16548? True Does 12 divide 10759? False Does 58 divide 3886? True Is 10712 a multiple of 103? True Is 10 a factor of 1000? True Is 41 a factor of 74784? True Does 19 divide 14003? True Is 654 a multiple of 15? False Is 351 a factor of 90265? False Is 22785 a multiple of 42? False Is 14620 a multiple of 86? True Does 23 divide 35857? True Does 3 divide 489? True Is 4 a factor of 2873? False Is 23712 a multiple of 11? False Does 6 divide 2220? True Is 109 a factor of 436? True Is 5 a factor of 2155? True Is 2 a factor of 19? False Does 4 divide 930? False Is 14685 a multiple of 13? False Does 4 divide 582? False Is 657 a multiple of 73? True Is 20 a factor of 6960? True Is 2835 a multiple of 27? True Is 13 a factor of 1289? False Does 38 divide 3424? False Is 50 a factor of 979? False Does 94 divide 14476? True Is 28737 a multiple of 279? True Is 553 a multiple of 16? False Is 18 a factor of 13680? True Does 33 divide 12138? False Does 145 divide 3747? False Is 111542 a multiple of 43? True Does 94 divide 184? False Does 19 divide 969? True Does 22 divide 78892? True Is 6 a factor of 120? True Is 431 a multiple of 25? False Does 4 divide 294? False Does 39 divide 24250? False Is 153642 a multiple of 336? False Is 650 a multiple of 22? False Is 1599 a multiple of 83? False Is 2820 a multiple of 47? True Does 9 divide 7038? True Is 53 a factor of 26712? True Is 11 a factor of 933? False Is 11 a factor of 10659? True Is 13 a factor of 78? True Is 165 even? False Does 3 divide 689? False Does 51 divide 327? False Does 13 divide 57341? False Does 44 divide 1628? True Is 70 a factor of 3958? False Is 9 a factor of 1906? False Does 9 divide 12321? True Does 47 divide 17181? False Is 13140 a multiple of 292? True Is 890 a multiple of 5? True Is 47790 a multiple of 10? True Is 26 a factor of 171? False Is 21 a factor of 189? True Does 5 divide 175? True Is 49 a factor of 882? True Does 11 divide 9251? True Is 3679 a multiple of 5? False Is 2450 a multiple of 6? False Is 101 a factor of 4970? False Is 18 a factor of 7695? False Does 87 divide 2757? False Does 12 divide 8484? True Is 12 a factor of 7032? True Does 15 divide 5010? True Is 48 a factor of 912? True Does 196 divide 93435? False Is 7 a factor of 301? True Is 7 a factor of 506? False Is 63 a factor of 18333? True Is 2914 a multiple of 167? False Does 9 divide 3636? True Does 6 divide 11919? False Does 13 divide 5716? False Does 6 divide 2064? True Is 1249 a multiple of 16? False Is 2 a factor of 328? True Does 16 divide 678? False Does 24 divide 303? False Is 2908 a multiple of 20? False Does 29 divide 6013? False Does 17 divide 1122? True Is 30 a factor of 869? False Does 58 divide 11809? False Is 7 a factor of 3619? True Does 8 divide 1608? True Is 1059 a multiple of 32? False Is 82 a factor of 410? True Is 76 a factor of 4180? True Does 41 divide 18360? False Is 95 a multiple of 19? True Does 8 divide 4363? False Is 7 a factor of 13565? False Does 169 divide 45069? False Is 177 a multiple of 2? False Is 2 a factor of 497? False Does 22 divide 83555? False Is 264 a multiple of 52? False Is 32562 a multiple of 18? True Does 41 divide 20090? True Does 37 divide 10767? True Is 20 a factor of 45? False Is 17 a factor of 6902? True Does 8 divide 9518? False Is 68 a multiple of 8? False Is 6 a factor of 3580? False Is 4414 a multiple of 23? False Does 13 divide 6214? True Is 36801 a multiple of 102? False Is 29 a factor of 986? True Is 1472 a multiple of 72? False Does 32 divide 192? True Is 28804 a multiple of 14? False Is 63 a factor of 1780? False Does 6 divide 1074? True Is 11040 a multiple of 23? True Is 2968 a multiple of 28? True Does 13 divide 18818? False Does 16 divide 112? True Is 12 a factor of 2349? False Is 39 a factor of 507? True Does 65 divide 520? True Does 10 divide 8709? False Is 4394 a multiple of 9? False Is 218 a multiple of 14? False Is 56 a factor of 41216? True Does 10 divide 617? False Is 10 a factor of 800? True Is 13 a factor of 40287? True Is 397 a multiple of 35? False Does 44 divide 2508? True Is 26 a multiple of 26? True Is 10 a factor of 10160? True Is 25717 a multiple of 11? False Is 386 a factor of 66778? True Is 451 a multiple of 41? True Does 10 divide 28435? False Is 400 a multiple of 10? True Does 17 divide 22419? False Does 58 divide 22415? False Is 1810 a multiple of 85? False Is 6 a factor of 592? False Is 113 a multiple of 2? False Is 20 a factor of 8380? True Is 12 a factor of 63816? True Is 22 a factor of 12452? True Is 5258 a multiple of 43? False Is 6 a multiple of 2? True Is 89 a factor of 5251? True Is 16 a factor of 2696? False Does 23 divide 3634? True Is 46 a factor of 1769? False Does 2 divide 39? False Is 1315 a multiple of 12? False Is 162 a factor of 7609? False Is 995 a multiple of 26? False Is 3231 a multiple of 97? False Is 47 a factor of 59718? False Is 4130 a multiple of 2? True Is 41808 a multiple of 78? True Does 232 divide 15088? False Is 90 a factor of 32670? True Is 14 a factor of 452? False Does 277 divide 33794? True Is 4 a factor of 43? False Does 164 divide 22527? False Is 15 a factor of 75? True Does 192 divide 6528? True Is 11 a factor of 1277? False Is 23065 a multiple of 14? False Does 28 divide 420? True Is 19566 a multiple of 137? False Does 24 divide 2997? False Is 1673 a multiple of 3? False Does 28 divide 120456? True Does 77 divide 33649? True Does 47 divide 3149? True Is 2884 a multiple of 28? True Is 31 a factor of 837?
{ "pile_set_name": "DM Mathematics" }
54*a**3 - 11*a - 15119 What is the r'th term of 11519928, 11519930, 11519932? 2*r + 11519926 What is the c'th term of -25118, -50160, -75226, -100328, -125478, -150688, -175970, -201336? -2*c**3 - 25028*c - 88 What is the a'th term of 91238, 91192, 91146? -46*a + 91284 What is the u'th term of -5141, -20038, -44869, -79634, -124333, -178966, -243533? -4967*u**2 + 4*u - 178 What is the d'th term of 3456939, 3456908, 3456887, 3456882, 3456899, 3456944? d**3 - d**2 - 35*d + 3456974 What is the d'th term of 174028913, 348057827, 522086741? 174028914*d - 1 What is the f'th term of 27895699, 55791417, 83687137, 111582859? f**2 + 27895715*f - 17 What is the d'th term of 10004, 15707, 21398, 27071, 32720, 38339, 43922, 49463? -d**3 + 5710*d + 4295 What is the z'th term of 6782, 65667, 225494, 536735, 1049862? 8412*z**3 - z**2 + 4*z - 1633 What is the d'th term of -1922742, -7690962, -17304654, -30763812, -48068430? d**3 - 1922742*d**2 - d What is the s'th term of -5633, -22566, -50725, -90080, -140601, -202258? 5*s**3 - 5643*s**2 - 39*s + 44 What is the q'th term of 212501, 425124, 637747, 850370, 1062993, 1275616? 212623*q - 122 What is the b'th term of -2766, -10142, -22132, -38736, -59954? -2307*b**2 - 455*b - 4 What is the k'th term of 3488536, 6977072, 10465608? 3488536*k What is the v'th term of 168944, 168854, 168602, 168104, 167276? -14*v**3 + 3*v**2 - v + 168956 What is the m'th term of 599, 3693, 12113, 28523, 55587, 95969, 152333? 444*m**3 - m**2 - 11*m + 167 What is the o'th term of 334322, 1336573, 3006992, 5345579? 334084*o**2 - o + 239 What is the n'th term of 8901, 18251, 27601, 36951, 46301, 55651? 9350*n - 449 What is the d'th term of 4704394, 4704393, 4704392, 4704391? -d + 4704395 What is the w'th term of 188871, 377745, 566621, 755499, 944379, 1133261? w**2 + 188871*w - 1 What is the k'th term of -3137109, -3137114, -3137123, -3137136, -3137153, -3137174, -3137199? -2*k**2 + k - 3137108 What is the n'th term of 38513199, 77026397, 115539597, 154052799? n**2 + 38513195*n + 3 What is the i'th term of -19094, -16182, -11342, -4580, 4098, 14686, 27178, 41568? -i**3 + 970*i**2 + 9*i - 20072 What is the g'th term of -1320749, -1320758, -1320773, -1320794, -1320821, -1320854, -1320893? -3*g**2 - 1320746 What is the v'th term of 16013914, 32027826, 48041738, 64055650, 80069562? 16013912*v + 2 What is the p'th term of -10575, -18171, -25753, -33315, -40851, -48355, -55821? p**3 + p**2 - 7606*p - 2971 What is the a'th term of -1395003, -1395251, -1395663, -1396239, -1396979? -82*a**2 - 2*a - 1394919 What is the r'th term of 69394, 138856, 208318? 69462*r - 68 What is the a'th term of 2207, 17741, 59883, 141929, 277175, 478917? 2216*a**3 + 8*a**2 - 2*a - 15 What is the q'th term of -24894, -100028, -225252, -400566, -625970? -25045*q**2 + q + 150 What is the b'th term of -210004, -209978, -209954, -209932? -b**2 + 29*b - 210032 What is the t'th term of -3633240, -7266472, -10899704, -14532936, -18166168? -3633232*t - 8 What is the m'th term of 38857, 38831, 38805, 38779? -26*m + 38883 What is the u'th term of -2093, -2049, -1965, -1841, -1677, -1473? 20*u**2 - 16*u - 2097 What is the f'th term of 70901, 283581, 638047, 1134299, 1772337? 70893*f**2 + f + 7 What is the p'th term of 29092, 58299, 87536, 116809, 146124? p**3 + 9*p**2 + 29173*p - 91 What is the l'th term of 59889, 119912, 179935, 239958, 299981, 360004? 60023*l - 134 What is the x'th term of -734, -2260, -4084, -5618, -6274, -5464, -2600, 2906? 98*x**3 - 737*x**2 - x - 94 What is the g'th term of 241, 471, 1091, 2293, 4269, 7211? 32*g**3 + 3*g**2 - 3*g + 209 What is the s'th term of -3012, -3814, -5178, -7104, -9592? -281*s**2 + 41*s - 2772 What is the d'th term of -54345, -120351, -186357? -66006*d + 11661 What is the h'th term of -11082, -26771, -42460, -58149, -73838, -89527? -15689*h + 4607 What is the u'th term of -1480, -863, -242, 383, 1012, 1645? 2*u**2 + 611*u - 2093 What is the f'th term of -559784, -559783, -559780, -559775, -559768? f**2 - 2*f - 559783 What is the r'th term of -1030375685, -1030375684, -1030375683, -1030375682, -1030375681, -1030375680? r - 1030375686 What is the o'th term of 44161969, 44161963, 44161957, 44161951, 44161945, 44161939? -6*o + 44161975 What is the x'th term of 3135, 11395, 24773, 43269, 66883, 95615, 129465? 2559*x**2 + 583*x - 7 What is the k'th term of 151296, 304534, 457772, 611010? 153238*k - 1942 What is the o'th term of -312956, -626001, -939060, -1252139, -1565244, -1878381, -2191556, -2504775? -o**3 - o**2 - 313035*o + 81 What is the f'th term of 2344524, 4689036, 7033534, 9378012, 11722464? -f**3 - f**2 + 2344522*f + 4 What is the f'th term of -3981, -2935, -1891, -849, 191, 1229? -f**2 + 1049*f - 5029 What is the v'th term of -60838252, -121676490, -182514728, -243352966, -304191204, -365029442? -60838238*v - 14 What is the n'th term of 584254, 584268, 584282, 584296, 584310? 14*n + 584240 What is the f'th term of 5869785, 11739570, 17609355, 23479140? 5869785*f What is the i'th term of -832, -3682, -6532, -9382, -12232? -2850*i + 2018 What is the o'th term of -184272, -369006, -553740, -738474? -184734*o + 462 What is the t'th term of 5992544, 5992545, 5992546, 5992547, 5992548, 5992549? t + 5992543 What is the f'th term of 69260, 138507, 207728, 276911, 346044, 415115? -2*f**3 - f**2 + 69264*f - 1 What is the y'th term of 24001, 192195, 648795, 1538005, 3004029? 24034*y**3 - y**2 - 41*y + 9 What is the g'th term of 60560681, 121121375, 181682069, 242242763, 302803457, 363364151? 60560694*g - 13 What is the r'th term of -2296, -6640, -13920, -24136? -1468*r**2 + 60*r - 888 What is the v'th term of 102, 52, -36, -174, -374, -648, -1008? -2*v**3 - 7*v**2 - 15*v + 126 What is the i'th term of -103996, -104049, -104150, -104305, -104520, -104801, -105154, -105585? -i**3 - 18*i**2 + 8*i - 103985 What is the v'th term of -65, 2, 213, 652, 1403, 2550, 4177, 6368? 14*v**3 - 12*v**2 + 5*v - 72 What is the y'th term of 111565549, 223131100, 334696651, 446262202, 557827753, 669393304? 111565551*y - 2 What is the f'th term of -7299, -14638, -21973, -29298, -36607, -43894, -51153, -58378? f**3 - 4*f**2 - 7334*f + 38 What is the h'th term of -10604682, -10604684, -10604686, -10604688, -10604690, -10604692? -2*h - 10604680 What is the l'th term of 6556, 19217, 40320, 69865, 107852? 4221*l**2 - 2*l + 2337 What is the b'th term of 3579, 3743, 4013, 4389, 4871, 5459, 6153? 53*b**2 + 5*b + 3521 What is the t'th term of 1394374, 1394373, 1394372? -t + 1394375 What is the l'th term of 16722255, 33444519, 50166783, 66889047, 83611311, 100333575? 16722264*l - 9 What is the u'th term of -967, -6845, -16649, -30385, -48059, -69677, -95245? -u**3 - 1957*u**2 + 991 What is the d'th term of 55535, 111090, 166645? 55555*d - 20 What is the w'th term of -59082476, -118164954, -177247432? -59082478*w + 2 What is the a'th term of 1265, 1589, 2137, 2909, 3905? 112*a**2 - 12*a + 1165 What is the a'th term of 144835911, 289671829, 434507759, 579343707, 724179679, 869015681, 1013851719, 1158687799? a**3 + 144835911*a - 1 What is the d'th term of 10219, 20377, 30535, 40693, 50851, 61009? 10158*d + 61 What is the g'th term of 281, 962, 2113, 3800, 6089, 9046, 12737? 11*g**3 + 169*g**2 + 97*g + 4 What is the n'th term of 4381, 8778, 13169, 17554, 21933, 26306, 30673? -3*n**2 + 4406*n - 22 What is the d'th term of 11104, 52008, 120182, 215626, 338340, 488324? 13635*d**2 - d - 2530 What is the n'th term of -13287, -26794, -40569, -54612? -134*n**2 - 13105*n - 48 What is the y'th term of -32337, -32253, -32117, -31929? 26*y**2 + 6*y - 32369 What is the o'th term of -10925, -10795, -10579, -10277, -9889? 43*o**2 + o - 10969 What is the m'th term of -2640, -2315, -1570, -195, 2020, 5285, 9810? 35*m**3 + 80*m - 2755 What is the n'th term of -49460, -97738, -146016, -194294, -242572? -48278*n - 1182 What is the s'th term of 592, 1314, 2184, 3202, 4368, 5682? 74*s**2 + 500*s + 18 What is the j'th term of -408169, -816360, -1224543, -1632718, -2040885, -2449044, -2857195? 4*j**2 - 408203*j + 30 What is the u'th term of -27911, -27313, -26711, -26105? 2*u**2 + 592*u - 28505 What is the y'th term of -6596, -14400, -22204, -30008, -37812, -45616? -7804*y + 1208 What is th
{ "pile_set_name": "DM Mathematics" }
04 Let t = 319.9 - 327. Let j = -10.1 + 2.1. Let l = j - t. What is l rounded to one dp? -0.9 Let s = -242.9 - -254. Let j = 11.028 - s. Round j to two decimal places. -0.07 Let f be (-14 - -26) + -13 + (-9531999 - 0). Round f to the nearest 100000. -9500000 Let o = 0.00884625 + -0.0078. What is o rounded to 4 decimal places? 0.001 Let k = 541.23 + -541.46273. Let m = 1.35631 + k. Let f = -1.12 + m. Round f to four decimal places. 0.0036 Let w = -27324068.8995172 - -27324023.1. Let k = -45.8 - w. Round k to 4 decimal places. -0.0005 Let x(i) = i**3 + 5*i**2 - 3*i - 25. Let l be x(-4). Let y be -254794 - l/3 - 5. What is y rounded to the nearest ten thousand? -250000 Let j = 5.417 - 0.017. Let v = -5.39343 + j. What is v rounded to 3 decimal places? 0.007 Let r = -1.41401 + 0.06971. Let z = r + 1.330262. Let y = z + 0.0136. Round y to five decimal places. -0.00044 Let c = -37 + -14. Let g = 141234.70006 - 141285.7. Let x = g - c. What is x rounded to four dps? 0.0001 Let h = 13620 - 13619.99997895. What is h rounded to 6 decimal places? 0.000021 Let f = -4673 + 6822. Let n = f - 2148.999998689. Round n to seven dps. 0.0000013 Let x = 1032.476 + -5.976. Round x to the nearest ten. 1030 Let d = -0.339 - -20.639. Let k = d + -21. Let y = 0.70096 + k. What is y rounded to four dps? 0.001 Let q = -0.01618 + 0.008608. What is q rounded to four decimal places? -0.0076 Let i = 722.57 + -124.5. What is i rounded to the nearest ten? 600 Let q = -893.33531 - -893.4. What is q rounded to three dps? 0.065 Let c = -1393.5 + 1657. Round c to 0 decimal places. 264 Let b(x) = -5*x - 8. Let a be b(-3). Suppose -g = -a*g - 138. Let c be -62 + 0 + (g - -27). What is c rounded to the nearest ten? -60 Let f = -3.1535 + 3.1519453. Round f to 5 decimal places. -0.00155 Let v = 725 - 738.92. Let z = -13.919999253 - v. Round z to seven decimal places. 0.0000007 Let l = 0.08727 - 0.092231. Round l to 4 decimal places. -0.005 Let w = -294 + 255.8. Let b = 23.6 - w. Round b to the nearest integer. 62 Let n(q) = 6*q - 30. Let t be n(9). Let r be 11200/(-12)*2430/t. Round r to the nearest 10000. -90000 Suppose j - 85819999 = o, 0 = -35*j + 38*j + 3. Round o to the nearest one million. -86000000 Let n = 3127762 - -3676549. Suppose 26*v + 20948311 = n. What is v rounded to the nearest ten thousand? -540000 Let f = 262.86 + 5.14. Let h = f - 376. Let a = h + 108.037. Round a to 2 dps. 0.04 Let d = -15056 + 17212.4. What is d rounded to the nearest 1000? 2000 Let s = 99.8 + -99.78. Let p = -15.17 + 15.189936. Let m = s - p. Round m to five decimal places. 0.00006 Let c = 3.209 - 0.205. What is c rounded to 1 decimal place? 3 Let i = 0.6303495 - 0.6309. What is i rounded to 5 dps? -0.00055 Let i = -181627299.0000103 - -181627117. Let j = i + 182. Round j to five decimal places. -0.00001 Let d be (-68)/10 - (-34)/(-170). Let r be d - -1 - 622280282/(-47). Round r to the nearest one million. 13000000 Let b = -1.019404 + 0.9431. What is b rounded to 2 dps? -0.08 Let v = -13.17 - -673.17. Let a = 481328083 + -481327422.999283. Let o = a - v. What is o rounded to four decimal places? 0.0007 Let s = -139 + 142.11. Let y = 24.82 - s. What is y rounded to the nearest ten? 20 Let p = -36556.3 - -44603. What is p rounded to the nearest 1000? 8000 Let i(a) = 987499*a**2 - 5*a + 36. Suppose 243 = 13*p + 87. Suppose r - 6 = z - 4, 4*r = 2*z + p. Let k be i(r). What is k rounded to the nearest 1000000? 16000000 Suppose k = j - 3, 0 = 2*j - 48*k + 44*k - 4. Suppose -j*p + 319000 = l, 4*l + 8*p - 1276000 = 6*p. Round l to the nearest 10000. 320000 Suppose -2*f + 16 = -3*v + 8*v, -24 = 2*f - 5*v. Let p(r) = 3*r + 2272*r**2 - 171*r**2 - r. Let o be p(f). Round o to the nearest one thousand. 8000 Let p = -142.796 - -143. Let w = p + -0.2043508. What is w rounded to 5 decimal places? -0.00035 Let w = -0.83897 + -7071.96103. Round w to the nearest one hundred. -7100 Let b = 10399646.72999318 - 10399646. Let g = -0.73 + b. Round g to seven dps. -0.0000068 Let o = -1.6831 + -970.1069. Round o to the nearest 10. -970 Suppose 0 = -106*m + 110*m - 93860000. Round m to the nearest 100000. 23500000 Let r = 2.7 + -1.68. Let d = -188.365 + 187. Let p = d + r. What is p rounded to 2 decimal places? -0.35 Let n = 249 - 248.67. Let t = n - 0.18. Round t to 2 decimal places. 0.15 Let s = 0.37 - 2.96. Let g = s + 165.39. What is g rounded to the nearest ten? 160 Suppose -4*y + 12 = 2*a, 4 = 5*a - 3*y - 0. Suppose -a*j + 32850000 = 5*l - 4*j, -26280000 = -4*l - 2*j. What is l rounded to the nearest 100000? 6600000 Let n = 66482 - 37272. Round n to the nearest one thousand. 29000 Let z = -1878.00869 + 1878. Round z to two decimal places. -0.01 Let o = 10704.2 + -6677. What is o rounded to the nearest ten? 4030 Let w(h) be the first derivative of -13*h**4/4 + h**3/3 + 2*h**2 + 19. Let g = 88 - 90. Let c be w(g). Round c to the nearest 10. 100 Let r = 3660.1 + -3660.052954. What is r rounded to three decimal places? 0.047 Let n = -0.40139664 - 50.59858196. Let s = 51.5075 - 0.5075. Let v = n + s. Round v to six decimal places. 0.000021 Let l = 297 + -212. Let d = -85.01405 + l. What is d rounded to three dps? -0.014 Let o be 5 + (-2260)/460 + (-4254544)/46. What is o rounded to the nearest 1000? -92000 Let n(q) be the second derivative of 913751*q**5/20 - q**4/12 - q**3/6 - q**2 + 50*q. Let g be n(2). Round g to the nearest one million. 7000000 Let w = 250.3 + -195. Let b = -55.301182 + w. Round b to four dps. -0.0012 Suppose b + 2*b + 5*l = 566, b - 190 = -3*l. Let y be 2/(4/(-3)) - 9801/(-18). Let o = y + b. What is o rounded to the nearest 100? 700 Suppose -2*y = v - 89199996, 0 = -4*y - v + 144580309 + 33819687. Suppose 3*z + y = 5*q, -z = -4*q + q + 26760000. What is q rounded to the nearest one million? 9000000 Suppose 15*n = -27*n + 336. Suppose -j + 2*c = 338, 4*j - n*j - 1352 = 3*c. Round j to the nearest one hundred. -300 Let m = 103.12 + -103.12003865. What is m rounded to 5 dps? -0.00004 Suppose -201770 = u + 18*n - 13*n, 0 = -5*u - 4*n - 1008808. Round u to the nearest ten thousand. -200000 Let r = 766953759.9999991 - 766953836. Let j = -5.6 + 81.6. Let z = r + j. Round z to 7 decimal places. -0.0000009 Suppose 34*x - 4*w - 2579764 = 38*x, -26*x + 5*w = 16768435. Round x to the nearest ten thousand. -640000 Let w = -292 - -291.6825. Let a = 143.6175 + w. Let y = a - 154. Round y to 0 dps. -11 Let l = -23731.3 + 22185. Let r = -1616.51 - l. Let o = -70 - r. Round o to two dps. 0.21 Let i = -137856816 - -137856815.9538254006. Let p = 22.0461759594 + i. Let s = 22 - p. Round s to seven dps. -0.0000014 Let z = 140174.99 + -139428.9103. Let i = z - 746. What is i rounded to 2 dps? 0.08 Let z = -3 + 2.988. Let i = -3147.023 - -3147. Let o = i + z. What is o rounded to two dps? -0.04 Suppose 90804480000 = 31*s + 183*s. Round s to the nearest 1000000. 424000000 Let t = 7829893.079 + -7822560. Let n = t + -7330. What is n rounded to 1 dp? 3.1 Let w = -3410 + 3378.981. Let r = w - -0.019. Let f = -30.85 - r. Round f to one dp. 0.2 Let n = 0.148845917 + -35588.958305917. Let l = n - -35588. Let m = l + 0.81. Round m to 4 dps. 0.0005 Let m = 21.926 - -3.804. Let z = m - 25.66724. Round z to 2 decimal places. 0.06 Let t = 2051824.9979 + -2051915. Let k = t + 90. Round k to three decimal places. -0.002 Let i = -2780 + 2780.0008168. Round i to 5 decimal places. 0.00082 Let q = 83 - 83. Let z be (q + -1 + -1)*-4700000. Round z to the nearest one million. 9000000 Let d(l) = 9*l - 261. Let z be d(-29). Round z to the nearest 10. -520 Suppose 0 = 5*v - 5 + 15. Let b be ((-738)/12)/(v/(30 - 2)). Suppose 0 = 5*t + b - 4911. What is t rounded to the nearest 100? 800 Let m(p) = 20*p**2 - p + 2. Let n be m(1). Suppose 16*f - 10 = n*f. Let c be -2*(-1)/(-4) + (-21)/f. What is c rounded to the nearest integer? 10 Let o = 256.3828 - 0.1828. Let m = o + -282.51. Let g = -1.91 - m. What is g rounded to zero decimal places? 24 Let p = 411.48 + -4.48. Let u = p + -407.84. Round u to 1 dp. -0.8 Let v(g) = -162*g**3 + 15*g**2 + 17*g - 30. Let z be v(-12). Let q = -198662 + z. What is q rounded to the nearest 10000? 80000 Let j = -1 - -2.03. Let u = j - -139.97. Let c = 101.9 - u. What is c rounded to the nearest integer? -39 Let n =
{ "pile_set_name": "DM Mathematics" }
5 Calculate 32 + -16 - (-15 + 32 + -12) - 122. -111 What is the value of -11 - (-31 + -7 + -5 + 0 + 4)? 28 What is 14 + -136 - -41 - -84? 3 -64 + 0 - ((-9 + 26 - 29) + 4) -56 Calculate -44 + -69 + 169 + (-3 - 8). 45 What is (-11 + 1 - (1454 - 1419)) + (-3 + -4 - 2)? -54 111 + 44 - (50 + 7 + -15) 113 12 - (8 - (5 + -9)) - (-1 + 29) -28 What is -1 - (15 - (-22 - (86 + -9 + -10)))? -105 What is 62 + (-81 + 66 - (-8 + -5 + 5))? 55 What is (29 - -6) + (-21 - -19)? 33 Evaluate -9 + (-10 - (8 - -6) - -29). -4 What is -26 - (-31 - 14 - 3)? 22 Evaluate -12 - (-30 + (-14 - -2) + 14 + 11). 5 Evaluate (1 - 0) + 66 - (705 + -691). 53 -1 + -4 + (5 - (-1 - -11) - -8) -2 What is the value of (-21 + 19 + 22 - 13) + 8? 15 What is -5 + (3 - (3 + -2 + -15 + -14))? 26 What is -15 + 7 - (-2 + 0) - (16 + -15 + 51)? -58 Evaluate (-24 - -12) + -28 + 28 + 3 + 51. 42 Evaluate -4829 + 4769 + (2 + -2 - -20). -40 -11 - -40 - ((28 - 21) + -2 + -12) 36 What is the value of 47 + (-1 - -3) + -7 + 0 + 3? 45 Evaluate 81 + -10 - 45 - -6. 32 What is -98 + -14 + 0 + (-10 - (-21 + (-47 - -43)))? -97 What is the value of 4 + 3 + -5 + 48 - -13? 63 Calculate 71 - (-81 - (-202 + 45)). -5 What is -32 + 2 + (2414 - 2443)? -59 -10 - (-4 - (-11 + 22) - -17) -12 5 + 0 - (-16 + 0 - 3 - -24) 0 10 + 0 + -12 - 4 - -22 - (-3 + 25) -6 What is the value of -11 + -8 + 0 + -4 + 36? 13 Evaluate 11 - (-38 + (27 + 14 - 107)). 115 -10 + 1 - ((19 - (70 + 5)) + (-2 - 12)) 61 39 - (4 + (3 - 14 - 4) + 14) 36 What is the value of (-20 - 61 - -82) + -4? -3 Evaluate -1 - -78 - (-424 - -433) - 23. 45 Calculate (-99 + 85 - (1 + -2)) + -28. -41 Calculate 0 + 22 + 48 + -27. 43 What is the value of 1340 - 1323 - ((-6 - -3) + -5)? 25 What is -18 + -2 + 104 + -85 + 50? 49 What is -26 + 22 - 34 - -24? -14 What is the value of (27 + 17 - 69) + 75 - (2 + 16)? 32 What is (-6 - 1) + (-35 - (19 + -23)) + -12 - -3? -47 What is -10 + (16 - 4) + -38? -36 (-51 - (-7 + -31 - 0)) + -6 -19 Evaluate -64 + (51 - 112 - -116). -9 (23 + -9 - 3 - 66) + 4 + -2 + 12 -41 Evaluate -7 + (-5 - ((3 - 2) + -5)) - (-19 + 14). -3 Calculate 10 + 3 + 0 - (60 - (55 - 22)). -14 Evaluate (22 - (-7 + 13 - -6 - 25)) + 0. 35 (-675 - -625) + (-11 - -65) 4 What is the value of -11 + 2 + 13 + -5 - -8 - -5 - -54? 66 What is the value of 39 - (29 - (-82 + 40))? -32 Calculate (9 - 103) + -99 + 128. -65 What is 12 + (19 - (17 + -10)) + 5 + 13? 42 Evaluate -2 + -9 + 3 + 11 + -12 + 56. 47 Calculate (138 - (-185 + 288)) + (0 - (-1 - (-1 + 10))). 45 What is the value of -2 - (7 + 1) - (62 + -26)? -46 What is the value of -29 + (0 - -8) - (-10 - -2) - 15? -28 Calculate -1 - 0 - -81 - (181 - (347 - 162)). 84 What is 30 + -32 - ((9 - 14) + 13 - 3)? -7 Evaluate (-21 - -27) + (-58 - (-7 + 10)). -55 What is (79 - 16) + (-9 - (-3 + 1)) - 17? 39 (-4 + (-2 - (9 - 4)) - -5) + -38 + 2 -42 (9 - 8) + 56 + -42 15 What is the value of -38 + ((-1 - -3 - (-195 - -195)) + 3 - 7)? -40 What is the value of -45 + -46 + -13 - (-3 + -11) - (7 + 1)? -98 (1167 - 1100) + (8 - -23) 98 (-21 + 54 - 48) + 60 45 -32 - (20 + 77 - 84) -45 Calculate (-16 - 5) + (12 - (-5 + 5)) + -42 + 18. -33 What is the value of 87 - (-5 - (29 + -11 - 13))? 97 (26 - -4) + -13 + 0 + 28 45 What is the value of (-31 + 30 - -54) + -69? -16 Evaluate (-89 + 15 + 59 - (-9 - 1)) + -1. -6 What is the value of 17 + (9 + 6 + -2 - 10 - 4) + -8? 8 Evaluate -10 - ((-28 + 8 - -9) + 80 - 1 - -8). -86 3 - (-1 + 12 + -10 + 10 + -19) 11 What is (474 - 270) + -227 + (-1 - -18)? -6 13 + (39 + -43 - (9 + -1)) + -2 -1 Evaluate -19 + 27 + (-141 - -103) + -8 + (0 - -1). -37 What is 4 + -3 + (2 - 40) - ((-10 - -4) + 3)? -34 Evaluate (28 - -19) + -60 + (-28 - -1). -40 What is the value of (-18 - 1) + -38 + (28 - (0 - -3))? -32 What is the value of 46 + -18 + -23 + (1 + -4 - -14)? 16 (54972 - 54984) + (-1 + 44 - -1 - 0) 32 What is the value of 21 + 0 + (-267 - -249) + -35? -32 Calculate (-3 - -3 - -20) + -114 + 108 + -63. -49 What is 2 + -5 + 25 + 34 + 66 + -81? 41 Calculate (-800 + 814 - (-61 - (-2 - -1))) + 5. 79 Calculate (61 - 93) + 39 + (-3 - (4 + 15)). -15 Evaluate -81 + 103 + -20 + -35. -33 What is -25 + -1 - (273 - 246)? -53 Calculate 42 + 0 - (-4566 - -4701). -93 -20 - ((345 - 356) + (-52 - -1)) 42 What is (9 + 54 - (3 + 4 + -2 - 0)) + -5? 53 What is -26 + 34 + (-16 - 3) + 24? 13 -29 + (-12 - (-58 - -42 - (1 - -6))) -18 What is 127 + -170 + (7 - (-1 - 4))? -31 Evaluate 0 - -5 - -9 - (-6 + -1 + 1 + 75). -55 Calculate 2 - 35 - (208 + -285). 44 Evaluate 3 + -6 + 40 + (-56 - -35) + 109. 125 Calculate 9 + -4 + -54 - (61 + -62). -48 What is the value of 54 + (-52 - 4) + (48 + 1 - (-6 - -8))? 45 Calculate 11 + 16 - (6 + (-4 - -9)) - -9. 25 ((-7 - -121) + -4 - (30 + -38)) + -19 99 Calculate 5 + 0 - 2 - (-16 + 12). 7 What is the value of 6 - 43 - (-30 - 2)? -5 71 - (18 + 11 + 9 + -15) 48 What is (-17 - -6) + 59 + (14 + -2 - (92 + -74))? 42 Calculate -53 + (52 - (-8 - -42)). -35 What is 0 + 24 + 10 + -16 + (-30 - -52) + -13? 27 -12 - (5 - (66 + 6 - 29)) 26 What is -111 + -2 - (-2506 + 2458)? -65 Evaluate (-61 - 3) + (160 + -45 - 117). -66 Calculate (1 - 2) + 7 + (-30 + 11 - -26). 13 Evaluate -147 + (-115 - -166) + 21. -75 -23 - (-2 + -6 + -126) - 5 - (-5 + 1) 110 What is 2 + 17 + (-37 - 8)? -26 Calculate (292 + -275 - (1 + 40)) + 117. 93 What is 0 + 13 + -1 - (13 + -44 + (-84 - -135))? -8 -11 + 6 + 0 + (-17 - -30) 8 47 + (48 - (69 - -6)) 20 What is the value of (3894 - 3877) + 1 + -2 + -2 + 48? 62 75 + (-16 + (-14 - -39) - (-4 - -9) - 4) 75 Evaluate -1723 + 1800 + -4 + -147. -74 What is the value of 111 + -104 - ((1 - 1) + -3 + 3 + 8)? -1 What is (-116 - -77) + (84 - 56) - (-58 - 0)? 47 1517 + -1527 - (1 + -2 + -1 + -50) 42 Calculate (19 - 12) + (-81 - (13 + -9)) + -6. -84 178 + -156 + 31 + -17 36 Evaluate -115 - -133 - (-14 + 0) - (-5 - -1). 36 What is 34 + -1 + (-60 - -17) - (1 + -52 + -1)? 42 Calculate (-43 - -52) + -209 + 116. -84 Calculate -7 + -1 - (-18 - (-38 + (-31 - -13))). -46 Calculate 24 + -46 - -4 - (-197 + 63). 116 Evaluate (-25 - -30 - 21) + -7 + 1 + (-8 - -67). 37 Calculate 10 + -7 - (-522 + 498). 27 Calculate -56 - (-4 - (-58 + 133)). 23 1 + -77 + (1959 - 1928) + (-12 - 1) -58 Evaluate 76 + 1 + 4351 + -4370. 58 What is the value of -20 - (-84 + -9 + 35)? 38 Calculate 0 + 9 + -1 - (-1248 + 1204). 52 15 - (20 + 4 + -2) - -13 - (1 - 1) 6 What is the value of (-9681 - -9612) + (0 - -11)? -58 Evaluate -10 + ((-7 - (-15 - 112)) + -16 - -6). 100 Evaluate -31 - (-27 - (2 + 47)). 45 Calculate -32 - (-5 + -11 + -24). 8 Evaluate (-79 - -67) + (3 - -72) + 26. 89 Calculate (-61 - (4 + -85)) + 21. 41 1 - -71 - (-82 - (88 - 157)) 85 What is the value of 76 + (-45 - (-11 - -15))? 27 Evaluate (-68 - -42 - 68) + 12. -82 12 - (46 - ((66 - -4) + 13)) 49 Calculate (44 - (1 + (-7 - -18))) + (26 - 43). 15 What is the value of -140 + (-6 - -10) - (-22 + (10 - 5))? -119 What is 1 - -67 - (12 + -1 - (35 + -106 + 85))? 71 Evaluate 5 + 0 - (-201 + 98 + 104 - (-2 + -116)). -114 -1 + 4 + 4 + 4 - (-9 - -49 - -36) -65 Evaluate -8 + -1 - (145 - 65 - 58 - (-89 + 0)). -120 Evaluate 29 + (17 - (48 - -30)) + 30. -2 Evaluate 72 + -34 - (-19 + 75). -18 What is -1 + -5 + (-4 - -8 - (1 - -3) - -33)? 27 What is 31 + (24 - 32 - (-3 - (-2 - 1)) - -1)? 24 What is the value of 27 + 10 + -20 + -54? -37 Evaluate -2 + -4 + -13 + (29 + -18 - -17). 9 Calculate 16 - (-4 - (-9 + -8 - -33)). 36 What is the value of (-3 - 10) + (-1 - (3 - 6)) + -4? -15 (-12 - (-2 - -17)) + 25 + 7 + -37 -32 Calculate (183 - 204) + (2 - (-6 + 5)) + -86. -104 What is -11 + (10 - -39 - 52)? -14 What is the value of -113 + 169 + -51 - (1 + -30 - 0)? 34 What is the value of -10 + 53 - 42 - 35? -34 Calculate (-2 - (2 + -17 - -12)) + 0 + 1 + 72. 74 -123 - ((-9 + 26 - -26) + -18 - 12) -136 57 + (-39 - -4 - -30 - -15) 67 (-6 - -1) + (129 - 108) + 8 + -40 -16 What is -6415 + 6306 - (-2 - 16)? -91 What is the value of -54 - (-4 + (-6 + 3 - 4 - -4))? -47 Evaluate 8 - (-15 + (39 - 15)) - -4 - -41. 44 What is (13 - 82) + (6 - (4 + 2) - (9 - 22))? -56 (-61 + 87 - 43) + 5 + 0 - -46 34 Evaluate 36 + (-20 + 18 + (1 - -13 - 4) - 0). 44 10 + -79 + 226 + -152 5 Evaluate -48 + 39 + (33 - -1) + (-4 - (1 - -3)). 17 Calculate 3 + 5 - (19 + -85 + -9). 83 What is the value of 46 - -9 - 84 - -57? 28 What is -8 + 61 + -1
{ "pile_set_name": "DM Mathematics" }
ue in 0.1, 2, 0, -1/3, -1, -63? 2 Which is the fourth biggest value? (a) -0.5 (b) 184/5 (c) -6 (d) 1 (e) 4 (f) 5 d Which is the fourth biggest value? (a) 22 (b) 2.6 (c) 2 (d) -9 (e) 3 c Which is the smallest value? (a) -2/373 (b) -0.3 (c) -29.9 (d) 4 (e) -1/8 c Which is the third smallest value? (a) -195/4 (b) 15 (c) -6 b Which is the second smallest value? (a) -189 (b) -4/143 (c) 2 b Which is the fifth biggest value? (a) 3/8 (b) -5 (c) -8 (d) -0.6791 (e) 0 c What is the third biggest value in 1, 1/2, -4, 0, 7? 1/2 Which is the fifth biggest value? (a) -0.185 (b) 0 (c) 7/4 (d) 1 (e) -3/4 (f) -0.1 a What is the second smallest value in -0.4, -74, -0.13, -7/5, -2? -2 What is the fourth smallest value in 115, 0.03, -3/2, -15? 115 What is the second smallest value in 3, -52.11, -4? -4 What is the biggest value in 22, -0.5, 4618, 0.2? 4618 Which is the smallest value? (a) -2/11 (b) -3 (c) -34231 c What is the second smallest value in -2/21, -0.4, -0.3, 1/8, 157/3, 0.2? -0.3 What is the second biggest value in -29/12, 7, -10? -29/12 What is the second smallest value in 154, 1, 1/32, 2, 4? 1 Which is the third smallest value? (a) -139.51 (b) 33 (c) -3 (d) -2 d What is the fifth biggest value in -0.2, 2/15, 0.1, -4, -299/5? -299/5 What is the third biggest value in -1, -16, 5, 11925? -1 What is the biggest value in 0.2, -2/49, -2/11, 45/8? 45/8 What is the smallest value in -5, -0.33, -2/11, 2/2545? -5 What is the smallest value in 0.1, 0.4, 32496? 0.1 Which is the smallest value? (a) -0.8 (b) -3 (c) -1 (d) 17 b What is the fourth smallest value in -1.19, 25, 4, -8, 0.3? 4 What is the second biggest value in -2/21, -1/4, 12, -33? -2/21 What is the third biggest value in 1, 29, -77, -2/9? -2/9 Which is the smallest value? (a) -5 (b) 659 (c) -1/4 (d) 4 a What is the fifth smallest value in 1/23, 2/1459, -6, 3, -0.2, -5? 1/23 Which is the fourth biggest value? (a) -0.4 (b) -2/27 (c) 0.1 (d) -2/11 a What is the smallest value in 1/161, 3/4, -2/3? -2/3 What is the second biggest value in -0.1, 2, -2/4649, -4, -2/97? -2/4649 What is the second biggest value in -111, -12, -2/13? -12 Which is the smallest value? (a) 50/27 (b) -0.23 (c) -0.5 c What is the fourth smallest value in -2/11, 3, 1/40, -0.06, -2/13, 5? 1/40 What is the fourth smallest value in -132, -2.3, -1, 9? 9 What is the third biggest value in 4, 25344, -4, -3/7, -6? -3/7 Which is the second smallest value? (a) -353 (b) -1/3 (c) 0.03 (d) -2/5 d What is the fourth smallest value in -0.2, -3, 0, -0.5, -339? -0.2 What is the second biggest value in -0.19, -4, 2/5, 3, -0.3? 2/5 Which is the biggest value? (a) -0.32 (b) -1/828 (c) -2 b What is the second smallest value in -5900/17, 2, -0.2, 3, 1? -0.2 What is the fourth biggest value in -5/127, 4, 5, 1/4? -5/127 What is the third biggest value in 1.45, -2/3, 5, 369? 1.45 Which is the third smallest value? (a) -0.1 (b) -1 (c) -4 (d) 0.26 a What is the third biggest value in 400.4, 21, -5? -5 Which is the third biggest value? (a) -2/35 (b) 5 (c) -0.1778 c What is the biggest value in 3.15, 24/17, 3/2? 3.15 What is the biggest value in 223, -0.4, -6, 0.7? 223 What is the fourth biggest value in 3, 0.4, 4632, 33? 0.4 What is the third biggest value in 2/3, -2, 0.02, -9/14, 20? 0.02 Which is the biggest value? (a) 2/59 (b) -5 (c) 3 (d) 126 (e) -2 d What is the third smallest value in -2/9, -0.1, 2378, 1/5, -0.2? -0.1 Which is the fourth smallest value? (a) 2/5 (b) 1/4 (c) 1 (d) -3 (e) -8 (f) 25 a Which is the fourth smallest value? (a) -0.3 (b) -5 (c) -617 (d) 0.3 d What is the biggest value in -5, -0.09, 272? 272 What is the second smallest value in 188, -19, 3/14? 3/14 Which is the third smallest value? (a) -27 (b) 0.2 (c) 17 (d) 2 d Which is the fourth biggest value? (a) 2/257 (b) -4/7 (c) 0.5 (d) 0 (e) 5 d What is the third biggest value in -4, 72, -6, -1/70? -4 What is the fifth smallest value in -3/5, 1.8, 0.07, 0.1, 4? 4 Which is the second biggest value? (a) 2325 (b) 0.052 (c) 3/5 (d) 1 d Which is the third smallest value? (a) 335 (b) -0.7 (c) 4 (d) 5 d Which is the fourth biggest value? (a) 2/9 (b) 0.2 (c) -3 (d) 2/166841 (e) 1/6 (f) -4 d What is the biggest value in 26, -40, 5, -4, -12? 26 Which is the third biggest value? (a) -3389 (b) 1/4 (c) 1/2 a What is the second biggest value in 5164/19, -6/7, -5? -6/7 Which is the second smallest value? (a) -114896/7 (b) -2 (c) 1 b What is the fourth biggest value in 2, 1/36, 35, 0, -0.5, 0.5? 1/36 What is the second biggest value in 24.452, 3, -24? 3 What is the fourth smallest value in 0.77, 2, -4, 1, 9, 2/87? 1 Which is the fourth smallest value? (a) -18/11 (b) 4 (c) 2/27 (d) 9.4 (e) 5 (f) -3 b Which is the third biggest value? (a) 5 (b) -2.53 (c) 2/11 b Which is the smallest value? (a) -25 (b) 27 (c) -1/2 (d) 0 (e) -0.4 a What is the second biggest value in -3/148, -1/5, 17? -3/148 What is the second biggest value in 0.21, 0.2, 2, -1, 0.1, -0.03? 0.21 What is the third biggest value in 178, 4, 13, 0.3, -0.5, 0? 4 What is the sixth smallest value in -0.1538, -1/4, 18, -19, 2, 0.1? 18 What is the third smallest value in -2/11, 13, -491, 2/5? 2/5 Which is the fourth biggest value? (a) 62/3 (b) 11 (c) 0.8 (d) -4 d Which is the fifth biggest value? (a) -10 (b) 1 (c) 0.3 (d) -0.5 (e) 51 a Which is the third biggest value? (a) -0.4 (b) 0.01 (c) 1289 a Which is the third biggest value? (a) -0.024 (b) -5/17 (c) -0.04 b Which is the second biggest value? (a) 2126 (b) -34 (c) 5 c What is the second biggest value in -0.746, 3, 0.09, 6? 3 Which is the third smallest value? (a) 4 (b) -781 (c) 3/2 a What is the third biggest value in 1, -0.4, 153, 91/6? 1 What is the fourth smallest value in 4, -5/2, 1/3, -150, -0.06? 1/3 Which is the fourth biggest value? (a) -3 (b) 469 (c) -0.5 (d) 1 (e) 9 c Which is the second smallest value? (a) 0.1 (b) 41/4 (c) -5 (d) 309.3 a Which is the third biggest value? (a) -0.5 (b) 3 (c) -1/2828 a What is the biggest value in -5, -2/3, 10, -50? 10 What is the third smallest value in -4, -36/119, 33? 33 Which is the second biggest value? (a) -0.1 (b) -3/13 (c) -2.3 (d) -0.5 b Which is the fourth smallest value? (a) -0.009 (b) -0.6 (c) -3/34 (d) -4 (e) -5 c Which is the fourth biggest value? (a) -193/7 (b) -0.1 (c) 2/13 (d) -2/15 (e) -1 e What is the second smallest value in -0.1415, -5, -8? -5 What is the fourth biggest value in -1/30, 0.9, -8, 1? -8 Which is the third smallest value? (a) 5/6 (b) 0.08 (c) 10 (d) -0.2 a What is the second smallest value in -1, 2/13, -6, -1/149, -0.3? -1 What is the fourth smallest value in 0.2, -6, -0.5, 36, 0, -5? 0 Which is the sixth biggest value? (a) 7/5 (b) 2 (c) 8 (d) 141 (e) 1/4 (f) -2 f Which is the fourth biggest value? (a) 1 (b) 9 (c) -1/138 (d) -0.08 d Which is the third biggest value? (a) -4 (b) 2 (c) -1221 (d) 1/8 (e) -2/9 e Which is the second smallest value? (a) -1 (b) -3/32 (c) -97 (d) -0.5 a Which is the second biggest value? (a) 0.3 (b) 1/6 (c) -2.3 (d) 1/3 (e) -2 a Which is the fourth biggest value? (a) 0 (b) 126 (c) -29 (d) 2/9 (e) -2/3 e What is the second biggest value in 53, 0.6, 0, -1/5, -1? 0.6 Which is the third biggest value? (a) 154.9 (b) 6/11 (c) 4 b Which is the biggest value? (a) 2/313 (b) -5 (c) -386 (d) 2/5 (e) 5 e Which is the second biggest value? (a) 213900 (b) 1 (c) 3 c What is the fifth smallest value in -1, -26.54, 4, 1/4, -0.5? 4 What is the smallest value in 0.5, -0.1, 3/2, 16/5, 4? -0.1 Which is the second smallest value? (a) 0.2 (b) -4 (c) 38365 (d) -5/2 d What is the third smallest value in 2/7, 2, -6, -1/6, -19? -1/6 Which is the fifth smallest value? (a) 2/5 (b) 13 (c) -0.02 (d) 2/7 (e) 0 b What is the third biggest value in -1/3, -1144/3, 0.13? -1144/3 Which is the smallest value? (a) -16104/47 (b) 2 (c) 2/5 (d) 1/4 (e) -2/11 a What is the third biggest value in -1, 2/11, -899? -899 Which is the fourth biggest value? (a) -8 (b) 0.3 (c) -16/7 (d) 358 a What is the biggest value in 4, -5157, -0.4? 4 What is the sixth smallest value in -3, 0.1, 44, 119, -2/7, 0.3? 119 What is
{ "pile_set_name": "DM Mathematics" }
ate u(4). 7 Let p(s) = 2*s - 3. Let g(o) = -6*o**3 - o - 1. Let c(y) = -2*y + 21. Let q be -1 + 16 - (13 + -9). Let w be c(q). Let f be g(w). What is p(f)? 9 Suppose 0 = 4*b, -4*b + 1 = -2*y + 13. Let f be -10 + 8/(-4) + y. Let l(c) = 3*c + 6. What is l(f)? -12 Let u(l) = 43 - 130 + 44 - 6*l**2 + 46 - l + l**3. Give u(6). -3 Suppose 40 = -5*o + 3*l, -8*o - 5*l = -12*o - 32. Let f(z) = -z**2 - 5*z + 11. Calculate f(o). -13 Let m(i) = 2*i**2 - 2 - i**3 - 5*i**2 + 6 + 6*i. Let g = -36 - -38. Let j be g*-1 - (8 - 6). What is m(j)? -4 Let w(k) = -k**3 - 7*k**2 + 9*k + 10. Suppose -5 = -3*x - s - 31, -10 = 2*x - 3*s. Calculate w(x). 2 Suppose 30*l - 39*l = -72. Let t(m) = -4 + 0*m - 4 + m**2 - 6*m. What is t(l)? 8 Let i be (-2)/8 - (-429)/(-12). Let q = i + 39. Let h(j) = 8 - q*j**2 - 4*j + 2*j**2 + j - 10. What is h(-2)? 0 Suppose -5*h + 3*y - 23 = -y, 2*h - 4*y = -2. Let w(q) = -2*q - 8. Determine w(h). 6 Let q(n) = -n**2 - n + 1. Let v = 32 + -37. Let b(x) = 12*x**2 + 3*x - 4. Let y(w) = v*q(w) - b(w). Determine y(1). -6 Let t(x) be the first derivative of x**2/2 + 2*x - 21. Suppose 3*o = 5*f - 16, 2*f + 4 = 2. Let j = 13 + o. What is t(j)? 8 Let p(g) = 25*g**2 - 1. Let d = 1278 - 1277. Determine p(d). 24 Let b(y) = y + 6. Let k be b(-5). Let x be k/3 + 98/21. Let s(t) = -2*t + 15. Let o be s(x). Let v(f) = -f + 2. Determine v(o). -3 Let d(l) be the first derivative of -l**4/4 - 4*l**3/3 + 3*l**2 + 2*l - 2. Suppose 5*i = -b - 10, -2*i = 3*b + 19 - 2. Determine d(b). -3 Suppose 2*t - 6 = -2. Let q(v) = 3*v**2 + 4*v - 1 - v - t*v**2 + 0*v. Give q(-5). 9 Let l(j) = -2*j**3 + 2*j**2 + 4*j - 1. Let n(b) = -5*b**3 + 4*b**2 + 11*b - 2. Let t(u) = 8*l(u) - 3*n(u). Calculate t(-3). 64 Let l(i) = -15*i - 1. Let c(m) = -60*m - 4. Let q(f) = -2*c(f) + 9*l(f). Suppose 0 = 2*s - 3 + 1. Determine q(s). -16 Let a(n) = 5*n**2 - 8*n - 2. Let o(u) = -9*u**2 + 16*u + 3. Let q(v) = -7*a(v) - 4*o(v). Let j(d) = -d**2 + 8*d - 2. Let p(f) = 4*j(f) + 5*q(f). What is p(8)? 2 Let f = -854 + 856. Let b(r) = 6*r**2 + 3*r - 3. Give b(f). 27 Let n(i) = -i**2 - 4*i + 4. Let u be (-26)/7 - 24/(-1092)*-13. Give n(u). 4 Let o(j) = -7*j + 0*j + 4*j + 2 + j**2. Suppose n + 5 = -0*n, 11 = 4*b + n. Give o(b). 6 Let j(c) = -2*c**2 - 11*c - 10. Let t(g) = -2*g**2 - 23*g - 37. Let m be t(-10). Calculate j(m). -31 Let v(k) = 5*k + 1. Let d(p) = 4*p - 5*p + 2*p. Let s = -36 + 39. Let m(u) = s*v(u) - 21*d(u). Calculate m(2). -9 Let p(i) = i**2 - i**2 + i**3 - 3*i**2 + 3 - 6*i. Let z(s) = s**2 + 9*s + 2. Let n be z(-9). Suppose -h - 8 = -n*y - y, -32 = -5*h - 3*y. What is p(h)? -5 Let w = -386 + 374. Let j(t) = 3*t + 33. Give j(w). -3 Let z(g) = -17*g + 85*g**3 + 9 - 1 + 5 - 35*g**3 + 17*g**2 - 51*g**3. What is z(16)? -3 Let w(p) be the third derivative of -p**4/8 - p**3/3 - 4*p**2 - 211*p. Let g be (-1)/((-24)/(-21) + -1). Calculate w(g). 19 Let n(r) be the third derivative of -16*r**2 + 0*r + 1/6*r**3 + 1/12*r**4 + 0. Suppose 0 = -3*g - 0*g - 9. Give n(g). -5 Let q(a) = -3*a - 8. Let j be q(-2). Let s(n) = n**3 + 3*n + 2. Let h(o) = 5*o**3 - o**2 + 12*o + 8. Let k(u) = j*h(u) + 9*s(u). What is k(4)? -18 Let t(s) = -s + 3. Let f(m) = 2*m**3 - 3*m**2 + 1. Let b be f(2). Suppose 0 = 2*k + 3*l + 9, 5*l + 14 = -2*k - b. What is t(k)? 0 Let a(g) = g - 4. Suppose 5*s - 2 = 4*o + 20, -5*o = -4*s + 14. Suppose -4*f + 2*f + s = 0. Suppose -14 = -f*m + 1. Determine a(m). 1 Suppose o = -6 - 1. Let q(m) be the third derivative of m**6/120 + m**5/10 - 5*m**4/12 - 3*m**3/2 + 4*m**2 - 32. What is q(o)? 12 Let y(z) be the first derivative of -1/4*z**5 - 1/2*z**2 + 6 - 8*z + 0*z**3 + 1/12*z**4. Let q(k) be the first derivative of y(k). Calculate q(1). -5 Suppose 5*q + 273 = -62. Let v = 61 + q. Let a(o) = -o**2 - 7*o - 1. Give a(v). 5 Let n = 45 - 36. Let k(m) = m**2 - 7*m - 8. Determine k(n). 10 Suppose -3*c = -u - 10, -3*u - 2*c + 3*c = -2. Let q be (0 - (-3 - -6)) + u. Let o(m) = -m - 1 + 2 + 5*m**3 + 2*m. Determine o(q). -5 Let k(c) be the first derivative of -c**3/3 + 9*c**2/2 + 3*c + 224. Give k(9). 3 Let f(l) = -2*l**2 + 7*l + 16. Let w be 4/1*60/48. Let i be f(w). Let j(x) = -10*x + 1. Determine j(i). -9 Let c(j) = -4*j**2 - 2. Let n(a) = -17*a**2 - 3*a - 11. Let u(d) = 4*c(d) - n(d). Suppose 5*x + 2*s = -37, 4*x = -0*x - s - 29. Let b = x - -4. Determine u(b). 3 Let p(k) = -4 + 230*k - 229*k + k**2 + 5. What is p(-5)? 21 Let l(h) = -h**2 - 5*h + 8. Let d(m) = -m + 27. Let i be d(16). Let t(s) = -s**3 + 12*s**2 - 9*s. Let n be t(i). Let x = 16 - n. Give l(x). 2 Let w be (-6)/9 - 14/(-21). Suppose -5*p - 2 = -4*b - w*b, -3*p - 10 = 2*b. Let i(f) = -2*f**2 - f + 2. Calculate i(b). -4 Let i(k) be the first derivative of 49*k**4/4 - k**3/3 - 232. Determine i(1). 48 Let c be -2 + 4 + (-10)/(-5). Suppose -v - 35 = c*v. Let j(n) = n**2 + 7*n - 1. Calculate j(v). -1 Let w = 231 - 242. Let k(i) = 2*i + 15. Calculate k(w). -7 Let i(m) = -m**3 + 6*m**2 + 2*m - 7. Let t be i(6). Let b(a) = t*a**2 + 7*a - 5 - 4*a**2 - 16*a + 5*a. Give b(5). 0 Let u(j) be the first derivative of -j**4/4 - j**3 + j**2/2 + 3*j - 278. Let m = 3 + -6. Calculate u(m). 0 Let i(p) be the first derivative of p**3/3 - 7*p**2/2 + 9*p + 473. Determine i(2). -1 Let a(t) = -t**3 - 9*t**2 + 4*t - 8. Let u(r) = -r**3 - 10*r**2 + 4*r - 8. Let n(d) = -5*a(d) + 4*u(d). Suppose 0 = -22*p + 14*p - 48. Determine n(p). -4 Let c(p) be the second derivative of p**5/20 + p**4/4 - p**3 + p**2/2 + 3*p + 16. Calculate c(-5). -19 Let h(x) = 6*x**2 - x - 7. Let g(u) = -5*u**2 + 6. Let n(b) = -5*g(b) - 4*h(b). Suppose 2*l - 876 = -884. Give n(l). -2 Let i(b) = 4*b - 8. Let y(l) = 6*l**2 - 2*l**2 + 3*l**2 + 0*l**2 + l. Let d be y(-1). What is i(d)? 16 Suppose 7*h = 2*h + 10. Suppose 0 = -3*c - 5*w + 23, -h*w + 54 = 2*c + 2*c. Let q = -13 + c. Let t(s) = s - 4. Give t(q). -1 Suppose 2*g - 13 = -31. Let m(c) = 2*c + 12. Let n be m(g). Let w(h) be the third derivative of -h**6/120 - h**5/12 + 7*h**4/24 + h**3 + 2*h**2. What is w(n)? 0 Let g = 7 - 2. Suppose 3*j + 3*n = 18, -4*j - g*n + 34 - 6 = 0. Let r(a) be the first derivative of a**4/4 - 2*a**3/3 + 1. Give r(j). 0 Let n(g) = g**2 - 38*g - 72. Let p be n(40). Let r(h) = -h**3 + 7*h**2 + 9*h - 8. Determine r(p). 0 Let r = 9 + -6. Suppose 2 = r*x - 1. Suppose -2*v - 11 - x = 0. Let s(w) = -2*w - 5. Calculate s(v). 7 Let c be (-6)/9 + (-8)/(-3). Suppose 0*y = 4*y + c*p + 36, -y + 3*p = 16. Let t = 7 + y. Let r(m) = -4*m - 4. Give r(t). 8 Let a(o) be the first derivative of o**2 - 1. Let r(f) = -4*f + 52. Let y be r(-20). Let u = y + -135. Determine a(u). -6 Let q = 22 + -23. Let u be (-5 - -8) + (-2 - q). Suppose -u*j + 3 = 5*k + 18, k + 5*j = -26. Let h(f) = 14*f. Give h(k). -14 Let r(o) = -o**2 - 1. Let x(l) = l**2 - l. Let w be x(-1). Let y be r(w). Let j(z) be the third derivative of -z**6/120 - z**5/12 - z**3/3 - z**2. What is j(y)? -2 Let s(i) = 5*i**2 - 4*i + 34. Let d(y) = -y**2 - 2*y. Let o(r) = -6*d(r) - s(r). Determine o(-18). 2 Suppose 4*n + 6 = 3*l, -2*n = -l - l + 2. Let j be 3 + n - -3 - (6 - 7). Let t(z) = -z**3 + 3*z**2 + 2*z + 5. Determine t(j). -3 Suppose -s = -3*a - 13, 2*s - 8*a + 5*a - 11 = 0. Let g(h) = -4*h + 2. Let v(n) = 13*n - 5. Let t(d) = s*v(d) - 7*g(d). Determine t(-3). -10 Let q(k) = k**2 - 3*k - 1. Suppose -2*f = -7*f + 465. Suppose 2*h = 2*l - 189 - f, 139 = l + h. Let m be 4/(-7) + 780/l. Determine q(m). 9 Let s(h) = 3*h + 6. Let p be s(-1). Let t(g) = g**3 + 9 - 11 - 2*g + p*g**2 + 6. Calculate t(-3). 10 Suppose -5*p + 8*p = 3. Let w be -10 - -18 - (p + 1). Let z(t) = t**3 - 5*t**2 - 4*t + 4. Give z(w). 16 Suppose -8*k + 12 - 36 = -0. Let w(z) = -2*z. Let m(i) = i - 1. Let j(b) = -4*m(b) - 4*w(b). Determine j(k). -8 Let u = 0 - 0. Let p be u/4 + (1 - 0). Let o(d) be the first derivative of -5*d**4/4 + d**3/3 - 3. Give o(p). -4 Let c(s) = 3*s**2 + 4*s - 2*s**2 - 35*s - 9 + s**2. What is c(16)? 7 Let j be (4/(-6))/(4/(-96)). Suppose -4*d - j = -0. Let p(z) = -z**2 - z + 2. What is p(d)? -10 Let c(k) = -k. Let f(a) = -3*a + 6. Let t(o) = -4*c(o) + f(o). Calculate t(0). 6 Let o(c) = 77*c**3 + 17 - 159*c**3 - 23*c**2 + 83*c**3 + 2*c - 53*c. Calculate o(25). -8 Let b(r) = r**2 - 11*r + 28. Let d be b(7). Let n(u) be the second derivative of -u**3/6 + 9*u**2 - 7*u. What is n(d)? 1
{ "pile_set_name": "DM Mathematics" }
- 12. Let s be m(-9). Let f be (6 - (-3)/3)*12/s. Calculate the highest common factor of f and 10. 2 Let v be (-4)/(-48)*-8*(2*5292)/(-2). What is the highest common divisor of v and 36? 36 Let y(p) = p**3 + 8*p**2 - 12*p + 13. Let w be y(-7). Let u = w - 104. Let b = u + -18. What is the greatest common factor of b and 8? 8 Let b be 4/(-8) - 28215/(-30). Let k = b - 598. Calculate the greatest common factor of 27 and k. 9 Let l be 7178/14 - (-2)/7. Let d(n) = -30*n**2 + 416*n + 94. Let c be d(14). Calculate the highest common divisor of c and l. 19 Suppose -185*v = -91*v - 93*v - 2209. What is the greatest common divisor of v and 94? 47 Let p = -8411 - -8453. Calculate the greatest common divisor of p and 567. 21 Let n(m) = m**3 - 8*m**2 - 7*m - 11. Let j be n(9). Suppose -j*q = -135 - 117. What is the highest common factor of 4 and q? 4 Let r(v) = v**3 - 20*v**2 + 58*v - 847. Let l be r(25). Calculate the greatest common divisor of l and 32. 16 Suppose 40*i - 542752 = 220128. What is the greatest common divisor of i and 128? 128 Let h = 63 - 59. Suppose -2*o = -3*r + 10, -o + 2 = h*r + 2*o. Suppose 4*x + 5*l - 26 = 224, 4*x = r*l + 236. What is the greatest common divisor of 24 and x? 12 Let p = 144 + 279. Let l = -3715 - -3762. Calculate the highest common factor of p and l. 47 Let a be 8*(-4)/(-176) - (-436)/22. What is the highest common divisor of 245 and a? 5 Let y(n) = 138*n - 11758. Let v be y(91). What is the greatest common divisor of 7520 and v? 160 Suppose 3*k + 2*f - f = 153, 5*k - f = 255. Suppose q + 17 = 2*q. Let v be ((-5)/(-1))/(1/q). Calculate the highest common divisor of v and k. 17 Let h(s) = -s**2 - 32*s - 30. Let x be h(-29). Let r = x + -53. What is the greatest common divisor of r and 2? 2 Let k be (0 + -1)/((-4)/(-28)). Let m be (-208)/40*(k + 2). What is the highest common divisor of m and 208? 26 Let a(r) = r**2 + 9*r + 16. Let p be a(-7). Let h be (6/(-4) - 4)*p*-3. What is the greatest common factor of 110 and h? 11 Suppose 2*y - y = 90. Let h(k) = k - 2 - 10 + 20 + 15. Let x be h(-5). What is the greatest common factor of y and x? 18 Suppose 2*q + 5*w - 784 = 0, 2*q - 74161 = 5*w - 73577. Suppose 2*b - 76 = -0*b. Calculate the highest common divisor of b and q. 38 Let u = -582 + 586. Let h be 54 + 9 + -10 + u. Calculate the highest common divisor of h and 247. 19 Let t be (323/5 - -1) + 10/25. What is the greatest common divisor of t and 3498? 66 Let q(b) be the second derivative of b**5/5 - b**4/12 + b**3/3 - 3*b**2 - 56*b. Let y be q(2). What is the highest common divisor of y and 52? 26 Suppose 8 = -2*w + 4*x, x = -2*w - 135 + 152. Suppose -5*v - 5*t + 610 = 0, 0 = 2*t - 1 + 7. Let b = v + -83. What is the highest common factor of b and w? 6 Let o = -2 - -3. Let i(s) = -5*s**2 - 26*s - 20. Let j be (3*24/(-45))/((-4)/(-10)). Let f be i(j). What is the greatest common factor of o and f? 1 Let k = 151 - 135. Suppose 7*l - k - 348 = 0. Suppose 9*w - 29 - 7 = 0. What is the greatest common divisor of l and w? 4 Let f = -17 - -15. Let g be ((0 - -97)*f)/(-1). Suppose 0 = g*i - 189*i - 50. Calculate the highest common factor of 10 and i. 10 Let o = 306 + -302. Let b be o*-14*(-4)/8. What is the greatest common factor of 14 and b? 14 Let i(u) = 42*u**2 - u + 2. Let c be i(1). Suppose 3*k - 17 - c = 0. Let l be ((-8)/(-5))/(2/125). Calculate the greatest common factor of l and k. 20 Let f(a) = a**3 - 7*a**2 - 7*a - 10. Let b be f(8). Let y be ((-15)/b + -4)*12. What is the highest common divisor of 42 and y? 42 Let u(s) = -2*s + 8*s**3 + s + 4*s**2 + 13 - 17. Let o be u(-3). Let i = o + 311. What is the highest common factor of i and 52? 26 Let o be 4*(3 - 66/(-8)). Suppose 5*i - 11*i = -228. Let g = o - i. What is the greatest common divisor of g and 35? 7 Let o(f) = -f**3 - 3*f**2 + 4*f + 2. Let x be o(-4). Suppose x*y + 3*y - 40 = 0. Let n be 44 - 700/28 - 11. Calculate the highest common factor of y and n. 8 Let u(c) = c**3 - 14*c**2 + 9*c + 52. Let m be u(13). Suppose 6*b - 7*b + 10 = m. Calculate the greatest common divisor of 270 and b. 10 Let p = -201 + 377. Suppose 0 = -t + 2*w - 134, 3 + 13 = 4*w. Let k = t - -170. Calculate the greatest common factor of k and p. 44 Let g(p) = p**3 + 9*p**2 - 29*p - 22. Let k be g(11). What is the highest common divisor of k and 66? 33 Let c be (-364)/(-10) - (16 - (-936)/(-60)). Calculate the highest common factor of c and 5931. 9 Suppose -h - 3*h = -820. Let v(l) = l**3 + 14*l**2 - 59*l - 131. Let z be v(-17). What is the greatest common factor of z and h? 5 Let w = 5704 - 5651. What is the highest common divisor of 583 and w? 53 Let m(x) = x**2 - 7*x - 8. Let p be m(8). Suppose -13*j - 18 = -19*j. Suppose 4*n = -b - p*b + 12, -j = -3*n. What is the greatest common divisor of 56 and b? 8 Suppose 0 = -4*g - 5*q + 326, -3*g + 3*q + 254 = 2*q. Let z be (72/(-28))/((-18)/g). What is the greatest common factor of 36 and z? 12 Let h(w) = -13*w + 25 + 4*w - 31*w**2 + 32*w**2. Let t be h(9). Calculate the highest common factor of t and 125. 25 Let u(d) = -8*d**2 - 561*d + 236. Let o be u(-70). What is the highest common factor of 2 and o? 2 Let m be (-3833 + 108)/(1/(-6)*1). What is the highest common divisor of 150 and m? 150 Suppose 7 - 3 = 2*m. Suppose -l + 114 = m*l. Let q = l - 29. What is the highest common divisor of 99 and q? 9 Let j = 52839 - 28299. What is the greatest common factor of j and 36? 12 Let s = -29 + 40. Let l(h) = -4*h**3 - 15*h**2 + h + 67. Let x be l(-5). Calculate the highest common factor of x and s. 11 Let p(r) = r**3 - 3*r**2 - 4*r - 3. Let v be p(4). Let l be 1442/8 + v/12. Let d = 722818 + -722798. Calculate the highest common factor of l and d. 20 Suppose -35910 = -244*z - 41*z. Calculate the highest common factor of z and 4326. 42 Suppose -218 = -4*y - 2*q, -5*y = -2*y - 2*q - 181. Calculate the greatest common divisor of y and 1824. 57 Suppose -470 = 10*o - 2570. Calculate the greatest common factor of o and 90. 30 Suppose 203 - 201 = -d. Let j be 5*-1 + (36 - (-8 - d)). Let q = -871 - -1278. What is the highest common factor of j and q? 37 Suppose -2*n + 4*p + 1068 = 0, -p = -n - 3*n + 2157. Let q = 67509 + -67464. What is the highest common divisor of n and q? 45 Suppose -3 = -3*y + 9. Suppose -x + 30 = y*x. Suppose 3*o - 2*o - 5*m = 32, m + 4 = 0. What is the highest common factor of x and o? 6 Suppose 40 = -0*g + 2*g. Suppose -1275 = 43*d - 4285. Let i be d/(-14 - -7)*-1. Calculate the greatest common factor of g and i. 10 Let c = -155 - -164. Let z be 207 - (8 - (c - -5)). Calculate the greatest common divisor of z and 284. 71 Let v = -1513 + 1546. Let r = 178 - -185. Calculate the highest common divisor of v and r. 33 Let s(i) = i + 24. Let a be s(-10). Let w = -5 + a. Suppose 0 = -6*g + w*g - 9. Calculate the greatest common divisor of g and 27. 3 Let t = 18575 - 17990. What is the highest common factor of 130 and t? 65 Let y = 115 - 110. Suppose 6*u = u - 2*c - 840, -3*u - 505 = c. Let f be u/(-6) - y/(-3). What is the highest common divisor of f and 20? 10 Let y = -51 - -113. Let b be (3/(-25))/(1/(-5))*-15. Let a be (-3)/b + 2784/18. Calculate the greatest common divisor of y and a. 31 Let k = 573 + -561. Let u be (-11*8/(-264))/(2/96). What is the highest common divisor of k and u? 4 Let a = 339 + -312. Let s be (0 - 8)/(-1) + -3. Suppose 0 = -s*q + n + 20, -5*n - 16 = q + 2*q. Calculate the highest common divisor of a and q. 3 Suppose t + 3*v - 1172 = 0, 4*t - 41*v + 36*v = 4790. What is the highest common divisor of t and 280? 70 Suppose 3*f + 87*d - 90*d - 17745 = 0, -2*f - 2*d + 11830 = 0. What is the greatest common divisor of 7 and f? 7 Suppose -3*z + 2*z + 87 = 0. Suppose -156*o = -7965 - 14655. What is the greatest common divisor of o and z? 29 Suppose -218*g + 197*g = -17304. Calculate the highest common factor of g and 515. 103 Let k = -7509 + 7609. What is the highest common factor of k and 1030? 10 Let h(m) = 256*m**3 - 6*m - m**2 - 14 - 127*m**3 - 128*m**3. Let f be h(7). Calculate the greatest common divisor of 34 and f. 34 Suppose 581 = -28*g + 21. Let l be (4/6)/((g/(-885))/2). Calculate the greatest common factor of l and 295. 59 Let i = -30 - -38. Let c = -36 + 33. Let y be 48/(c/(-9)*2). Calculate the greatest
{ "pile_set_name": "DM Mathematics" }
. Let c be u(15). Suppose -w*d + 28 = -c*d. What is the tens digit of d? 1 Suppose 104*t + 2*x + 24046 = 106*t, 0 = t + 2*x - 12002. What is the tens digit of t? 1 Let w = 636 - -224. Suppose u = 6*u - w. Suppose z = 2*z - s - 37, 4*s = -4*z + u. What is the tens digit of z? 4 Suppose 0 = -20*c + 292944 + 155116. Suppose 51*t - 18091 - c = 0. What is the hundreds digit of t? 7 Let g(z) = -3*z - 19. Let l be g(-7). Let n be l + (-3)/(9/(-3)) + 2. Suppose 3*x + 147 = n*y, -5*x - 120 = -4*y - 2*x. What is the tens digit of y? 2 Suppose 657 = 5*m - 228. Let k = 428 - m. What is the tens digit of k? 5 Let d be 6/(-45)*-12*95. Let k = d - 105. Suppose -a + 4*w + 23 = -k, 76 = a + 2*w. What is the units digit of a? 4 Let d = 3260 + -1465. Suppose d*q - 8352 = 1789*q. What is the hundreds digit of q? 3 Let c(i) = i**2 + 37*i + 72. Let w = 12 - 36. Let v be c(w). Let o = v - -480. What is the hundreds digit of o? 2 Let p = 4283 - 1334. What is the tens digit of p? 4 Suppose x = 8*q - 5*q - 4001, 5340 = 4*q - 4*x. Let n = q - 818. What is the units digit of n? 5 Let h(i) = i**3 + 81*i**2 - 316*i + 156. What is the tens digit of h(-83)? 0 Let l(g) = -g**3 - 7*g**2 + 2*g + 18. Let m be l(-7). Suppose -m*q + 11*q - 2541 = 0. What is the units digit of q? 3 Let n(u) = 276*u**2 - 8*u - 11. What is the units digit of n(-7)? 9 Let p be 1 - (16/(-6))/(16/(-24)). What is the tens digit of (p/(-7))/((-44)/(-43428))? 2 Suppose -i = 2*h - 10, -2*h + 5 = -i - h. Suppose i = -4*d - 33 - 135. Let a = d + 139. What is the tens digit of a? 9 Suppose 2*s - 48078 = -2*a, 3*s - 72152 = 760*a - 756*a. What is the thousands digit of s? 4 Suppose -4*w - 3*r + 4 = 3, 0 = 5*w + 4*r. Let n(u) = 92*u + 14. What is the units digit of n(w)? 2 What is the hundreds digit of ((-84466)/1614)/(2/(-1314))? 3 Let h(s) = s**2 - 8*s - 75. Let x be h(-5). What is the tens digit of 153/(-255) - 536/x? 5 Suppose -41*v + 47*v + 54 = 0. Let o(i) = 10*i - 53. Let u be o(v). Let t = u + 371. What is the units digit of t? 8 Suppose 113*j + 0*j - 5486331 + 132504 = 0. What is the units digit of j? 9 Let s(x) = -2*x - 4. Let n be s(-5). Suppose -3*u + 135 = n*u. What is the units digit of (2 - 4/4)*u? 5 What is the tens digit of 2 + 803*((-15)/(-3) + 1)? 2 Let w = 216 + -239. What is the tens digit of 46/w + 871/1? 6 Let o be (-54399)/(-27) + (-6)/(-27). Suppose -5*k - 5*h = -o, 0*h + 1202 = 3*k - 4*h. What is the units digit of k? 2 Let u(w) = 4*w**2 + 3*w**2 + 494 + 22*w - 377. What is the hundreds digit of u(-13)? 0 Let u(n) = -23 + 8 - n**3 + 2*n + 4 + 5 - 5*n**2. Let i be u(-4). Let k = 98 + i. What is the tens digit of k? 6 Let m(c) = -286*c - 666. What is the hundreds digit of m(-28)? 3 Suppose 34680 = 163*w - 158*w. What is the tens digit of w? 3 Suppose b + 3668 = 7*k - 4*k, -3*k = 3*b - 3648. Let r = k + -563. What is the units digit of r? 8 What is the units digit of 28/(-4) + (-370352)/(-10) - (-3)/(-15)? 8 Suppose 25203 = 4*d - 5*h, -d + 13*h = 26*h - 6372. What is the hundreds digit of d? 3 Suppose 8*q - 39*q = 19*q - 1345050. What is the ten thousands digit of q? 2 Let s = 11061 + -6979. What is the units digit of s? 2 Suppose 4*h = -4*u - 576, -u - 738 = 5*h - 5*u. Let r = h - -275. What is the tens digit of r? 2 Let q(a) = 14*a**2 + 6*a - 45. Let o be q(6). Let i be (-2)/(4/16*-2). Suppose o = i*x + 3*j, x - 5*j - 29 = 112. What is the tens digit of x? 2 Let m(o) = -o**3 + 19*o**2 - 33*o - 11. Let k be m(13). Suppose k - 982 = -3*n. What is the units digit of n? 6 Let v(n) = 846*n**3 + 3*n**2 + 2*n - 24. What is the thousands digit of v(3)? 2 Let b(h) be the second derivative of 6*h + 0*h**2 + 1/4*h**5 - 1/6*h**3 + 1/6*h**4 + 0. What is the units digit of b(2)? 6 What is the ten thousands digit of 14680 + (-15)/(-45)*-3? 1 Let v(p) = 19*p**3 + p - 1. Let d be v(-1). What is the hundreds digit of (-17676)/d + 14/49? 8 Let b(s) = 9*s + 5. Let j(d) = -3*d - 25. Let a be j(-11). Let c = 17 - a. What is the tens digit of b(c)? 8 Let c be 4/1 + 6/(-6). Suppose c*s - 18 = -3*v, 3*v - s + 3*s = 18. What is the units digit of v? 6 Suppose -3*g + 6 = r + 1, 3*r + 1 = -g. What is the tens digit of (1/(-1 + 444/447))/r? 4 Let r = 46 + -44. Let d be (-6)/9*r*(1 + 11). What is the units digit of ((-36)/d - 2)*316? 9 Let s(b) = -10*b**2 + 30*b - 14. Let k(v) = v**2. Let p(q) = -12*k(q) - s(q). Let j be p(-15). Suppose 2009 = j*a - 315. What is the tens digit of a? 6 Suppose -5*y + i = 4*i + 68, 2*y = -5*i - 31. Let s = 54 + -16. Let z = y + s. What is the units digit of z? 5 Let r = 731 - -4479. What is the hundreds digit of r? 2 Let a be 3*(4 + 0) + 3/(-1). Suppose -5*r + 11 = 4*j, 4*j - a*j + 20 = 5*r. Suppose -2*f - j + 73 = 0. What is the units digit of f? 2 Let v = -686 - -691. Suppose -410 = -o - 2*p, 0 = 3*p + 14 - v. What is the units digit of o? 6 Let a = -118383 + 177215. What is the ten thousands digit of a? 5 Suppose 0 = m + 2*y + 4, -3 = m + y + 2*y. Let d(z) = -4*z**2 - 4*z + 25. Let v(g) = g**2 + g + 1. Let s(r) = -d(r) + 5*v(r). What is the units digit of s(m)? 0 Suppose 1211 = z - f, -4*f + 7*f = -5*z + 6095. Suppose 5*r = -5*d + 2040, 15*r - 18*r + z = 5*d. What is the units digit of r? 2 Suppose 8*t - 2*t = 3210. Let q be 12/(-8)*-2 + t. Suppose -9*u + 335 = -q. What is the units digit of u? 7 What is the tens digit of (216/(-9) - -68390) + -9? 5 Suppose 9*p - 10*p = -5*j + 4, -3*p + 4*j + 10 = 0. Let x(w) = 45*w**2 + 6*w - 49. What is the tens digit of x(p)? 0 Let u(x) = 35*x + 2. Let o be u(1). Let v = 48 - o. What is the units digit of 1047/v + (-2)/11? 5 Let s = 477 + -496. Let i(g) = -g**3 - 15*g**2 + 3*g - 82. What is the thousands digit of i(s)? 1 What is the thousands digit of 11 + (2 - 8) + -12*3881/(-2)? 3 Suppose -1194747 = -173*c + 456192. What is the tens digit of c? 4 Let c = -185 - -357. Suppose 336 = 4*s - 2*l, 2*l + 25 = -3*s + 305. Let v = c - s. What is the units digit of v? 4 Let m(r) = -74*r - 85. Suppose -7*w - 58 = -2*w + 4*b, -5*w - b = 52. What is the hundreds digit of m(w)? 6 Let s = 12781 - -62883. What is the units digit of s? 4 Let z(r) = 28*r**2 + 6*r + 5. Let j be z(10). Let q = j - 1343. What is the tens digit of q? 2 Suppose -c + 3*a = -271 - 184, 0 = c + 3*a - 461. Let l = c + 34. What is the hundreds digit of l? 4 Let b be ((-189)/(-14))/(6/16). Suppose -5*g = -3*v - 156, 5*g + b = v + 198. What is the tens digit of g? 3 Let i = 1385 - 981. Suppose -y = -5*g + 2*y + i, 4*y - 146 = -2*g. What is the tens digit of g? 7 Suppose 2*r = -2*n + r - 44, 5*n + 2*r + 108 = 0. Let m be (59/(-3))/(1 + n/24). What is the units digit of ((-70)/(-20))/(m/60 - -2)? 5 Suppose 42*q - 108*q = 144*q - 1128960. What is the thousands digit of q? 5 Suppose 4 = -5*j - l, 2 = -4*j + l - 3. Let i be (-3 + 4)*-1*j. What is the units digit of 21/(7 + -4) - i? 6 Suppose 2*o = -10, o = -w + 9 + 17. Let m(z) = 12*z - 164. What is the hundreds digit of m(w)? 2 Let n(o) be the third derivative of -o**6/60 - o**5/10 - 7*o**4/24 - 5*o**3/6 + 148*o**2 + 4*o. Let i be (-1)/(-2) + 11/(-2). What is the tens digit of n(i)? 3 Let c(p) = -2*p**3 + 130*p**2 - 100*p + 84. What is the thousands digit of c(62)? 6 Let b(x) = 4*x**2 - 8*x + 11. Suppose 41*g = 44*g + 27. Let h be b(g). Let k = h + -177. What is the hundreds digit of k? 2 Let u(m) = 8*m + 8. Let z be u(2). Suppose z*r - 17590 = 4538. What is the units digit of r? 2 Let p(o) = 2*o**3 - 23*o**2 - 25*o + 41. What is the units digit of p(15)? 1 Let t(x) = -20*x**3 + 9*x + 8. Let l be t(-4). Let q = l + -886. What is the hundreds digit of q? 3 Let v(b) = 21250*b**2 - 12*b - 5. What is the tens digit of v(1)? 3 Let s be (-646)/(-153) - 2/9. Suppose -x - z = -637, -2*x - z - s*z + 1265 = 0. What is the tens digit of x? 4 Let t be (-956)/(-20) + 4/(20/1). Suppose -816 = t*y - 54*y. What is the tens digit of y? 3 Let u(m) = 2558*m + 131. What is the hundreds digit of u(11)? 2 Let f(s) = -4*s**3 + 8*s - 6. Let i(a) = -a**3 + a**2 + a + 1. Let c(d) = f(d) - 5*i(d). Let j be c(4). Let n = 37 + j. What is the units digit of n? 2 Suppose -59*b + 74680 = -28*b - 23*b. What is the hundreds digit of b? 3 Let f(c) be the first derivative of -9*c**2/2 + 185*c - 129. What is the hundreds digit of f(-7)? 2 Let v(b) = b**3 - 9*b**2 + 22*b - 7.
{ "pile_set_name": "DM Mathematics" }
cking 1 m and 1 v. 1/10 Two letters picked without replacement from wfioahiw. What is prob of picking 1 h and 1 o? 1/28 Four letters picked without replacement from wmwkwwwww. What is prob of picking 1 m and 3 w? 5/18 What is prob of picking 2 n and 1 i when three letters picked without replacement from iiaoieeeeinleio? 0 Two letters picked without replacement from bbbibiibbbbbbbbb. Give prob of picking 1 i and 1 b. 13/40 Two letters picked without replacement from iiyppyzyppzpppiyppi. What is prob of picking 2 p? 4/19 Calculate prob of picking 1 g and 1 b when two letters picked without replacement from bbbbbbbbbggbmgbbb. 39/136 Calculate prob of picking 1 b, 1 k, and 1 o when three letters picked without replacement from aaraaaboroak. 1/110 Four letters picked without replacement from zyfzyymzyzr. What is prob of picking 1 r, 2 z, and 1 y? 4/55 Four letters picked without replacement from {s: 2, f: 3, v: 15}. What is prob of picking 3 v and 1 f? 91/323 Four letters picked without replacement from {g: 4, o: 6, j: 4, i: 1, l: 2, x: 1}. What is prob of picking 1 x and 3 o? 1/153 Three letters picked without replacement from {o: 8, j: 4, z: 8}. What is prob of picking 2 z and 1 o? 56/285 What is prob of picking 1 i and 1 j when two letters picked without replacement from iiiijj? 8/15 What is prob of picking 3 z when three letters picked without replacement from zmmmzmzmmz? 1/30 Two letters picked without replacement from {m: 5, b: 3}. Give prob of picking 2 m. 5/14 Two letters picked without replacement from gpmggggqqmgqmgqq. What is prob of picking 1 q and 1 p? 1/24 What is prob of picking 3 e when three letters picked without replacement from sssssseseses? 1/220 What is prob of picking 2 j and 1 k when three letters picked without replacement from fjzjskk? 2/35 Four letters picked without replacement from vyyyvvvrr. Give prob of picking 1 v, 1 y, and 2 r. 2/21 Two letters picked without replacement from {y: 2, u: 2, q: 2, k: 2}. What is prob of picking 2 q? 1/28 Calculate prob of picking 1 y and 2 d when three letters picked without replacement from ldldllyy. 1/28 Calculate prob of picking 2 q and 2 w when four letters picked without replacement from wwqqqqqqwqwqqqqqqw. 13/51 Calculate prob of picking 1 n and 1 t when two letters picked without replacement from ppnqqwhntqn. 3/55 Calculate prob of picking 4 k when four letters picked without replacement from tktjkkkj. 1/70 Four letters picked without replacement from {w: 4, n: 1, z: 3, q: 4, i: 1}. What is prob of picking 1 i, 2 z, and 1 q? 12/715 Three letters picked without replacement from {x: 4, e: 6, y: 1, f: 3}. Give prob of picking 2 x and 1 e. 9/91 Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {f: 1, e: 1, m: 1, p: 1, b: 1}. 1/10 Three letters picked without replacement from gggggggggg. What is prob of picking 3 g? 1 Two letters picked without replacement from lqssslqslslslqsle. Give prob of picking 1 q and 1 l. 9/68 Calculate prob of picking 1 l and 2 g when three letters picked without replacement from gnotglbbl. 1/42 Calculate prob of picking 2 z, 1 g, and 1 t when four letters picked without replacement from {u: 2, r: 1, z: 3, t: 3, g: 2, d: 3}. 18/1001 Two letters picked without replacement from jsgaiir. Give prob of picking 1 s and 1 r. 1/21 What is prob of picking 1 e and 1 b when two letters picked without replacement from eeeebeeeeeee? 1/6 Four letters picked without replacement from {d: 4, u: 14}. What is prob of picking 3 d and 1 u? 14/765 What is prob of picking 1 p and 1 a when two letters picked without replacement from jzzpfpvja? 1/18 Calculate prob of picking 2 u and 2 e when four letters picked without replacement from wjdduew. 0 Four letters picked without replacement from {v: 1, w: 3, z: 3, g: 4}. What is prob of picking 1 z and 3 g? 2/55 Two letters picked without replacement from mmymw. What is prob of picking 1 m and 1 y? 3/10 Four letters picked without replacement from pqmgqpgmmgmqqgpg. What is prob of picking 1 p, 1 m, 1 q, and 1 g? 12/91 Four letters picked without replacement from znqxuxuxyxuu. What is prob of picking 4 y? 0 What is prob of picking 1 k and 1 o when two letters picked without replacement from {u: 1, o: 1, n: 3, k: 1, e: 1}? 1/21 Two letters picked without replacement from iiieiiiiieigue. Give prob of picking 2 u. 0 Two letters picked without replacement from epeppppippgpepepp. Give prob of picking 1 e and 1 p. 11/34 Two letters picked without replacement from gggg. What is prob of picking 2 g? 1 Two letters picked without replacement from kmkfkkxkxfkkmk. What is prob of picking 1 f and 1 x? 4/91 Two letters picked without replacement from qqqqyqqqqqqqy. Give prob of picking 1 y and 1 q. 11/39 What is prob of picking 1 n, 1 l, and 1 d when three letters picked without replacement from {l: 10, j: 1, d: 3, n: 2}? 3/28 Four letters picked without replacement from {e: 7, u: 3, x: 2, o: 6, b: 1}. Give prob of picking 2 u, 1 x, and 1 e. 7/646 Calculate prob of picking 3 e when three letters picked without replacement from {y: 17, e: 3}. 1/1140 Three letters picked without replacement from {d: 1, a: 1, u: 1, m: 3, n: 1}. Give prob of picking 2 u and 1 a. 0 Two letters picked without replacement from eee. Give prob of picking 2 e. 1 What is prob of picking 2 k when two letters picked without replacement from {z: 2, k: 6}? 15/28 Three letters picked without replacement from {c: 1, i: 5, r: 1, a: 2, x: 1}. Give prob of picking 2 i and 1 a. 1/6 What is prob of picking 2 v, 1 t, and 1 q when four letters picked without replacement from {v: 3, z: 6, a: 4, q: 2, t: 1}? 3/910 Three letters picked without replacement from {w: 6, h: 2}. Give prob of picking 1 h and 2 w. 15/28 What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, b: 1, g: 2, h: 1, t: 2}? 2/21 Three letters picked without replacement from {u: 3, j: 7, e: 9}. What is prob of picking 3 e? 28/323 Two letters picked without replacement from {p: 1, r: 2, o: 1, x: 2}. What is prob of picking 1 r and 1 x? 4/15 Three letters picked without replacement from {k: 3, r: 2, n: 3}. What is prob of picking 1 k and 2 r? 3/56 Two letters picked without replacement from wwwzzsaawo. Give prob of picking 1 o and 1 s. 1/45 Calculate prob of picking 1 l, 1 o, and 1 y when three letters picked without replacement from bulyooppoooloo. 1/26 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from {j: 6, e: 3, b: 3, d: 6}. 2/17 What is prob of picking 1 i and 1 j when two letters picked without replacement from hjihhhggjhghhhhhhgg? 2/171 Two letters picked without replacement from crccccrcrccccr. What is prob of picking 2 c? 45/91 What is prob of picking 2 m when two letters picked without replacement from {m: 7}? 1 Calculate prob of picking 2 x and 2 v when four letters picked without replacement from {z: 3, v: 2, x: 2, k: 8, f: 5}. 1/4845 Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {a: 3, d: 9}. 9/22 Two letters picked without replacement from fvfvipvfvxvmiimvv. What is prob of picking 1 m and 1 f? 3/68 Four letters picked without replacement from vvvnyyvvnvvyy. Give prob of picking 2 y, 1 v, and 1 n. 84/715 Three letters picked without replacement from kkwwkkkkkwwkwwkw. Give prob of picking 1 k and 2 w. 27/80 What is prob of picking 2 j and 2 a when four letters picked without replacement from aaaaaaaaajajaj? 15/91 Calculate prob of picking 1 m, 1 p, and 1 l when three letters picked without replacement from {p: 1, l: 1, f: 2, m: 1}. 1/10 Three letters picked without replacement from izizz. What is prob of picking 1 z and 2 i? 3/10 Two letters picked without replacement from rwrriiriiutuwiiwiiu. Give prob of picking 1 u and 1 w. 1/19 Two letters picked without replacement from qbqbtmqbsqbqq. What is prob of picking 1 t and 1 s? 1/78 Three letters picked without replacement from {n: 3, l: 3, w: 1, j: 2, e: 2, s: 3}. What is prob of picking 1 l and 2 n? 9/364 Four letters picked without replacement from cbbojjobjbcb. What is prob of picking 1 c and 3 j? 2/495 Four letters picked without replacement from fffffkffkffk. What is prob of picking 4 f? 14/55 What is prob of
{ "pile_set_name": "DM Mathematics" }
t derivative of -5/3*l**3 - 5/2*l**2 + 7 + 0*l. Find v, given that a(v) = 0. -1, 0 Let g be 1/16 + (-30429)/(-2352). Let i(f) be the second derivative of 3/20*f**5 + g*f - 27/2*f**2 + 3/2*f**3 + 5/4*f**4 + 0. Factor i(o). 3*(o - 1)*(o + 3)**2 Let y(b) be the third derivative of 1/240*b**5 + 0*b**3 + 0*b + 0*b**4 + 1/160*b**6 + 0 + 1/1344*b**8 - 7*b**2 + 1/280*b**7. Suppose y(w) = 0. What is w? -1, 0 Let r(l) = -3*l**3 + 38*l**2 - 82*l + 20. Let x be r(10). Factor 0 + x*g + g**2 - 1/2*g**3. -g**2*(g - 2)/2 Let t(r) be the first derivative of r**4/30 + 8*r**3/15 + 7*r**2/5 - 56*r + 20. Let n(w) be the first derivative of t(w). Determine k so that n(k) = 0. -7, -1 Let s(k) be the second derivative of -2*k - 1/2*k**3 + 0 + 1/4*k**4 - 1/20*k**5 - 3*k**2. Let a(q) be the first derivative of s(q). Solve a(b) = 0. 1 Let i(y) be the first derivative of y**6/15 + 3*y**5/10 - 4*y**3/3 - 19*y - 2. Let l(h) be the first derivative of i(h). Solve l(k) = 0 for k. -2, 0, 1 Let y(v) be the second derivative of 0*v**3 - 1/70*v**5 + 0*v**2 - 1/21*v**4 - 3*v + 0. Let y(c) = 0. What is c? -2, 0 Let p(u) be the third derivative of 0*u + 3/40*u**6 - 19*u**2 + 0 - 9/4*u**3 - 3/5*u**5 + 13/8*u**4 + 1/140*u**7. Factor p(h). 3*(h - 1)**3*(h + 9)/2 Let v(w) be the third derivative of w**7/420 - w**6/36 + 2*w**5/15 - w**4/3 - w**3/3 + 20*w**2. Let x(t) be the first derivative of v(t). Factor x(c). 2*(c - 2)**2*(c - 1) Let h(c) = 2*c - 1. Let n(x) = 2*x**2 - 18*x + 3. Let w(u) = 6*h(u) + 2*n(u). Solve w(v) = 0. 0, 6 Let o be (-2)/(-3) + 9/(-15). Let k(d) be the first derivative of 1/10*d**4 + 2/25*d**5 + 0*d - o*d**6 + 0*d**2 + 4 - 2/15*d**3. Solve k(c) = 0 for c. -1, 0, 1 Let w be 2 - (-3)/(-12)*(9 - 1). Let i(g) be the first derivative of 2 + w*g + 0*g**2 + 1/2*g**4 - 2/3*g**3. What is c in i(c) = 0? 0, 1 Let m be 7/(-21)*126/28 - 23/(-14). Suppose 5/7*f**3 + m*f + 0 - 6/7*f**2 = 0. What is f? 0, 1/5, 1 Let y(u) be the first derivative of -u**8/480 + 3*u**7/560 - u**6/360 + 32*u**3/3 - 10. Let r(c) be the third derivative of y(c). Find p, given that r(p) = 0. 0, 2/7, 1 Let s = -5107 - -5110. Factor 2/11*h**2 + 0 - 4/11*h + 2/11*h**s. 2*h*(h - 1)*(h + 2)/11 Let o(w) be the first derivative of w**5/15 - w**4/3 + 25*w**2/2 + 12. Let r(l) be the second derivative of o(l). Determine t, given that r(t) = 0. 0, 2 Let n(d) be the second derivative of 0 + 3/80*d**5 + 1/4*d**2 - 1/48*d**4 + 3*d - 1/120*d**6 - 1/8*d**3. Factor n(f). -(f - 2)*(f - 1)**2*(f + 1)/4 Let p(h) = -14 + 7 + h**2 + h + 8 + 0*h. Let v = 18 + -19. Let w(k) = 3*k**2 + 4*k + 3. Let j(s) = v*w(s) + 2*p(s). Solve j(a) = 0. -1 Suppose -4*d - 75 = -b + 143, -4*d = -3*b + 214. Let o be (-15)/d*((-8)/(-3))/4. Let 4/11 - o*l - 2/11*l**2 = 0. What is l? -2, 1 Let m(w) be the first derivative of w**5/25 + 7*w**4/20 + 3*w**3/5 - 7*w**2/10 - 2*w + 265. Suppose m(h) = 0. What is h? -5, -2, -1, 1 Let 4/7*a**3 + 0*a - 4/7*a**5 + 0 + 4*a**2 - 4*a**4 = 0. Calculate a. -7, -1, 0, 1 Let k be 11*2 - (-14362)/(-668). Factor k*m**2 - 1/2 + 0*m. (m - 1)*(m + 1)/2 Let t(o) = -o**5 + 4*o**4 + 23*o**3 + 15*o**2 - 3*o - 6. Let a(s) = s**5 + s**3 + s**2 - s - 2. Let c(f) = -3*a(f) + t(f). What is d in c(d) = 0? -1, 0, 3 Let c = 2579 - 5153/2. Factor -5/2*q**3 + 0*q + c*q**2 - 5/2*q**4 + 5/2*q**5 + 0. 5*q**2*(q - 1)**2*(q + 1)/2 Let m be (-15)/6*(-84)/30. Let y(v) = -51 - 9*v**2 + 53 + 7*v - 4*v**2 - m*v**2. Let b(q) = 7*q**2 - 2*q - 1. Let k(j) = -11*b(j) - 4*y(j). Factor k(x). 3*(x - 1)**2 Find n such that -3/7*n**2 + 9/7*n - 6/7 = 0. 1, 2 Let c(v) be the third derivative of 3/140*v**6 - 9/70*v**5 + 0*v + 0*v**3 - 1/735*v**7 + 9/28*v**4 + 4*v**2 + 0. Factor c(n). -2*n*(n - 3)**3/7 Let o be (28 - -2)/(-6) + 9. Let i(q) be the first derivative of -3/2*q**o + 11 + 2/5*q**5 + 0*q**2 + 0*q + 4/3*q**3. Let i(x) = 0. Calculate x. 0, 1, 2 Determine m so that -27*m**2 + 0*m - 21*m**3 + 17/3*m**4 - 1/3*m**5 + 0 = 0. -1, 0, 9 Let d(l) be the second derivative of -1/36*l**6 + 0 + 7/120*l**5 + 0*l**2 + 1/9*l**4 + 7*l - 1/9*l**3. Factor d(y). -y*(y - 2)*(y + 1)*(5*y - 2)/6 Let -270*z**4 + 24/5 + 72*z**3 - 72*z + 1326/5*z**2 = 0. What is z? -1, 2/15, 1 Let h be (-13)/(-39) + (30/18 - -1). Suppose -4/5*d**2 - 2/5*d + 2/5*d**h + 4/5 = 0. What is d? -1, 1, 2 Suppose -4*l - 139 = -4*s + 5, -4*s = -2*l - 152. Determine z, given that -s - 9*z + 450*z**2 + 25*z**3 - 310*z**4 - 9*z + 2*z - 105*z**5 - 4*z = 0. -2, -2/7, 1/3, 1 Let j(d) be the first derivative of -d**6/3 - d**5/10 + 9*d**4/2 + 25*d**3/6 - 11*d**2 - 6*d + 44. Suppose j(m) = 0. Calculate m. -2, -1/4, 1, 3 Let p(r) be the third derivative of 5*r**8/1092 - r**7/105 - 2*r**6/195 + 7*r**5/195 - r**4/78 - r**3/39 + 77*r**2. Find f, given that p(f) = 0. -1, -1/5, 1/2, 1 Let c(a) = -a**2 + 1. Suppose -4*z + 0 = -8. Suppose -3 = -z*d - 1. Let b(p) = 7*p**2 - 7. Let g(u) = d*b(u) + 5*c(u). Factor g(y). 2*(y - 1)*(y + 1) Suppose 0 = -4*j - 4*b + 8 + 12, -2*b = -3*j + 5. Suppose -2*r + 671 + 337 = -4*k, r + 2*k = 488. Factor -r*l**2 + 506*l**2 - 9*l + 5*l**j - 6*l. 5*l*(l - 1)*(l + 3) Factor -3/5*u - 9/5*u**2 - 1/5*u**3 + 3/5*u**4 + 2/5. (u - 2)*(u + 1)**2*(3*u - 1)/5 Let s(i) be the third derivative of -i**9/5040 + 11*i**8/20160 - i**7/3780 - 11*i**4/24 + 16*i**2. Let b(x) be the second derivative of s(x). Factor b(d). -d**2*(d - 1)*(9*d - 2)/3 Let x(c) be the second derivative of 22*c - 3/4*c**4 + 0*c**3 + 3/20*c**5 + 6*c**2 + 0. Factor x(i). 3*(i - 2)**2*(i + 1) Let n(w) = -9*w**5 + 24*w**4 + 8*w**3 - 6*w**2 - 2*w. Let a(c) = 46*c**5 - 119*c**4 - 40*c**3 + 33*c**2 + 11*c. Let f(h) = -2*a(h) - 11*n(h). Factor f(j). j**3*(j - 4)*(7*j + 2) Let f = -38 + 42. Suppose -4*q**2 + 4*q**2 - 8*q - 122*q**3 + 130*q**3 + 4*q**f - 4*q**2 = 0. Calculate q. -2, -1, 0, 1 Let q = -6698/7 + 957. Let f(r) be the second derivative of -q*r**2 + 0 - 2/21*r**3 - 1/42*r**4 + 2*r. Factor f(k). -2*(k + 1)**2/7 Let g(n) be the second derivative of -n**4/3 + 22*n**3/3 - 36*n**2 + n + 54. Factor g(o). -4*(o - 9)*(o - 2) Let x(u) be the first derivative of -u**5/120 + u**4/24 - u**3/12 + u**2/12 + 9*u + 1. Let f(d) be the first derivative of x(d). Solve f(w) = 0. 1 Let i(b) be the first derivative of -b**6/420 + b**5/105 + 7*b**3 - 12. Let w(a) be the third derivative of i(a). What is s in w(s) = 0? 0, 4/3 Suppose 8*n - 7*n = 58. Let f = 235/4 - n. Solve 3/2*v + 3/4*v**2 - f*v**3 + 0 = 0. -1, 0, 2 Let y = -17 - -22. Suppose 3*t - 5 = y*l, l + 3*l = -3*t + 23. Factor -5*j**4 - 15*j**3 + 6*j**l + 3*j**4 + 11*j**4. 3*j**2*(j - 1)*(3*j - 2) Let f be 864/2160*(0 + (-10)/(-36)). Solve 0 - 1/9*c**3 - f*c + 2/9*c**2 = 0. 0, 1 Suppose 3*l + 5*u - 20 = 20, l - 2*u = -5. Let -3*w**5 - l*w**3 - 2*w**2 - 4*w**4 + 6*w**5 - 4*w**5 = 0. What is w? -2, -1, 0 Let g(v) be the second derivative of -v**7/560 + v**6/320 + v**5/160 - v**4/64 - 7*v**2/2 + v. Let w(h) be the first derivative of g(h). Factor w(i). -3*i*(i - 1)**2*(i + 1)/8 Let n = 10/21 + -1/7. Let j = -202 + 204. Solve 1/6 + n*q + 1/6*q**j = 0. -1 Find x such that -18/11*x**3 + 0 - 68/11*x**2 + 16/11*x = 0. -4, 0, 2/9 Factor -2*m**5 + 409*m - 2*m**3 - 409*m + 4*m**5. 2*m**3*(m - 1)*(m + 1) Let y = -6 - -13. Let f(p) = -p**2 + 5*p + 16. Let v be f(y). Factor -1/2*z**v + 3/2*z - 1. -(z - 2)*(z - 1)/2 Suppose 22*r = 8*r + 392. Suppose 5*f**2 - 15 + 5*f - 12 - 11 + r = 0. What is f? -2, 1 Suppose -3 = -2*o + 1. Suppose -16*a + 7*a**2 + 0*a**o + 2*a**2 - 4*a**3 + 7*a**2 = 0. Calculate a. 0, 2 Find x such that -11*x**4 + 25*x + 9 + 2*x - 4*x**3 + 0*x**2 + 2*x**2 - 36*x**3 + 6*x**3 + 7*x**5 = 0. -1, -3/7, 1, 3 Let v(x) be the first derivative of 2*x**6/3 + 12*x**5 + 90*x**4 + 360*x**3 + 810*x**2 + 972*x - 55. Determine r so that v(r) = 0. -3 Let t(q) be the first derivative of 4*q**5/15 - 20*q**3/9 + 16*q/3 - 23. Find g, given that t(g) = 0. -2, -1, 1, 2 Let d(h) = -h**3 + 1. Let z(c) = 2*c - 2. Let x be 2/(-9) + (-55)/(-45). Let j(w) = x*z(w) + 2*d(w). Find o such that j(o) = 0. -1, 0, 1 Suppose -5*q + 122 = -0*a + 2*a, -q + a + 23 = 0. Factor q*d**2 - 9*d**3 + 6*d**3 - 39*d**2. -3*d**2*(d + 5) Let i(u) = u**2 + u - 4. Let v be 50/(-16) - 6/(-48). Let s be i(v). Factor -s*r**2 - 2/9*r**4 + 4/3*r**3 + 0*r + 0. -2*r**2*(r - 3)**2/9 Let j = 18724 - 56140/3. Factor -28/3*k**2 + 56/3*k - j + 4/3*k*
{ "pile_set_name": "DM Mathematics" }
-19*j**3 - 5*j**2 + 5. Let o(v) = 58*v**3 + 16*v**2 - 16. Give -16*c(f) - 5*o(f). 14*f**3 Let r(c) = -7*c - 3. Let i(p) = -4*p - 2. Give -5*i(j) + 3*r(j). -j + 1 Let g(w) be the first derivative of w**2/2 + 2*w + 1. Suppose -b - 5 = -6*b. Let f(s) be the second derivative of s**3/6 + s**2/2 + s. What is b*g(n) - 2*f(n)? -n Let n(w) = 8*w - 4. Let z(f) = -4*f + 2. Give 2*n(v) + 5*z(v). -4*v + 2 Let u be ((-4)/(-6))/(-1)*-6. Suppose u = -4*l - 4. Let f(v) = 8*v. Let r(h) = h + 3. Let b(d) = -d - 2. Let m(t) = -3*b(t) - 2*r(t). What is l*f(o) + 18*m(o)? 2*o Let o(t) = -t + 1. Let k(g) = -g - 1. Give -2*k(d) + o(d). d + 3 Let n(y) be the second derivative of y**3/3 - 7*y. Let p(k) = 4*k. Calculate 7*n(v) - 4*p(v). -2*v Let m be (-1)/2 - 2/(-4). Let j = m - -10. Let i(y) = -2*y + 3. Let r(z) = z. Let q(u) = 2*u + 10. Let l(c) = q(c) - 8*r(c). Give j*i(b) - 3*l(b). -2*b Let r(a) be the first derivative of 5*a**4/4 + 2*a**3 - a**2/2 - 21. Let i(c) = 4*c**3 + 5*c**2 - c. Let k be 6*(1 + 0 - 2). What is k*i(z) + 5*r(z)? z**3 + z Let a(y) = -y + 1. Let t(m) = 9*m - 6. Suppose 4*d = 7*d - 3. Determine d*t(o) + 6*a(o). 3*o Let j(p) = -2*p**3 + p**2 - p - 1. Let z(a) = -6*a**3 + 4*a**2 - 2*a - 2. Give -10*j(q) + 3*z(q). 2*q**3 + 2*q**2 + 4*q + 4 Let h(f) be the second derivative of -f**4/3 + f**3/2 - 25*f. Let k(c) = 12*c**2 - 8*c. Calculate -8*h(b) - 3*k(b). -4*b**2 Let h(j) = 5*j**3 - 6*j + 7. Let q(w) = -11*w**3 + 13*w - 14. What is 13*h(r) + 6*q(r)? -r**3 + 7 Let q(b) be the second derivative of -b**4/6 + 11*b**3/6 - 12*b. Let l(h) = -h**2 + 4*h. Determine -11*l(y) + 4*q(y). 3*y**2 Let p(d) = 4*d + 3*d**2 - 2*d**3 + d**2 + 4*d**3 + d**3. Let o(j) = -8*j**3 - 11*j**2 - 11*j. Calculate -4*o(w) - 11*p(w). -w**3 Let t(b) = 37*b**2 + 10*b + 6. Let n(h) = -18*h**2 - 4*h - 3. Determine -5*n(o) - 2*t(o). 16*o**2 + 3 Let x(f) = -f**2 + 16*f - 6. Let a(w) = -w**2 + 15*w - 7. What is 4*a(s) - 5*x(s)? s**2 - 20*s + 2 Let q(f) = -f**2 - f + 1. Let y(r) = r**2 + 7*r - 2. Calculate 2*q(p) + y(p). -p**2 + 5*p Let f(l) = 130 - 5*l - 130. Let s(m) = -4*m. Give 3*f(y) - 4*s(y). y Let r(i) be the first derivative of -i**4/4 + 2*i**3/3 - i**2 - 2*i + 6. Let c(n) = -3*n**3 + 5*n**2 - 5*n - 5. Determine -2*c(w) + 5*r(w). w**3 Let z(y) = 11*y. Let i(x) = -120*x. Calculate 6*i(n) + 65*z(n). -5*n Let x(l) = -l**2 + 15*l - 1. Let y(j) = -j**2 + 2*j - 1. Let w(n) = -x(n) + 5*y(n). Let t(c) = c**2 + c. What is -5*t(a) - w(a)? -a**2 + 4 Let a(x) = -4*x**2 - 3*x + 2. Let q(i) = -i**2 - i + 1. Let n be (-88)/66*(-6)/4. Determine n*q(h) - a(h). 2*h**2 + h Let x be (6/2)/((-6)/10). Let u(d) = -d + 2. Let h(k) = -2*k + 4. What is x*u(r) + 2*h(r)? r - 2 Let u(l) = -2*l**3 - 5*l + 2. Suppose 3*a - 10 = -2*a. Let b(k) = k**3 + 2*k - 1. Calculate a*u(o) + 5*b(o). o**3 - 1 Let r(q) = 9*q - 6. Let m(s) = -6*s + 1. Let v(d) = 7*d - 1. Let l(j) = -6*m(j) - 5*v(j). Determine 6*l(u) - r(u). -3*u Let a(w) = 21*w**3 - 13*w**2 + 13. Let d(u) = 5*u**3 - 3*u**2 + 3. Let x = -73 - -47. Determine x*d(k) + 6*a(k). -4*k**3 Let p(h) be the third derivative of h**4/24 - h**3/6 + h**2. Let s(u) = u**2 - 5*u + 5. Let n(q) = -3*q - 4. Let d be n(-3). What is d*p(g) + s(g)? g**2 Let x(v) = 2*v**2 - 3. Let i(u) = 3*u**2 - 6. Determine 2*i(m) - 5*x(m). -4*m**2 + 3 Let z(t) = 78*t**3 + 7*t**2 + 7. Let v(y) = -26*y**3 - 2*y**2 - 2. Calculate -7*v(q) - 2*z(q). 26*q**3 Let b(p) = -p**3 + p**2 + p - 1. Let k(h) = 114*h**3 - 12*h**2 - 12*h + 12. Give 12*b(r) + k(r). 102*r**3 Let s(j) = 16*j**3 - 3*j**2. Let q(v) = -8*v**3 + v**2. Give -5*q(p) - 2*s(p). 8*p**3 + p**2 Let o(r) = -r**3 + 10*r**2 - 7*r - 11. Let i be o(9). Let s = i - 4. Let p(w) = 5*w**2 - 2*w + 4. Let l(n) = -4*n**2 + 2*n - 3. Determine s*p(k) + 4*l(k). -k**2 + 2*k Let x(i) = -4*i + 10. Let j(l) = -8*l + 21. What is 6*j(q) - 13*x(q)? 4*q - 4 Let c = -81 + 78. Let y(x) = -x**3 + x**2 - 6*x - 3. Let l(n) = -n**3 + 2*n**2 - 7*n - 4. Calculate c*l(t) + 4*y(t). -t**3 - 2*t**2 - 3*t Let w(d) be the second derivative of d**4/6 - 5*d**3/6 + 5*d**2/2 + d. Let s = 12 + -1. Let y = -5 + s. Let f(t) = -2*t**2 + 6*t - 6. Determine y*w(o) + 5*f(o). 2*o**2 Let a(t) = 2*t**3 + 5*t - 6. Let r(g) = -2*g**2 + 4*g - 3. Let z(m) = m**3 + 5*m**2 - 8*m + 5. Let k(o) = 5*r(o) + 2*z(o). Give 4*a(n) - 5*k(n). -2*n**3 + 1 Let y(m) be the first derivative of -m**2 + 9*m - 2. Let r(n) = n + 2. Let d(p) = -p - 3. Let v(g) = 6*d(g) + 7*r(g). What is 7*v(k) + 3*y(k)? k - 1 Let m(c) = -4*c + 3. Let h(u) = 4*u - 2. Suppose 3*x = 2*x - 2. Let b(t) = x*m(t) - 3*h(t). Let w(k) = -9*k + 1. Determine -5*b(g) + 2*w(g). 2*g + 2 Let l(i) = -3*i + 1. Suppose -5*z = -0*z + 70. Let m = -19 - z. Let k(h) = -2*h + 1. Give m*k(x) + 4*l(x). -2*x - 1 Let g(r) = 2*r - 2. Let s(f) = 52*f - 20. Let v(q) be the first derivative of -4*q**2 + 3*q - 2. Let t(a) = -5*s(a) - 32*v(a). Give 5*g(o) + 3*t(o). -2*o + 2 Let i(d) = -36*d + 39. Let x(q) = -q + 1. Give -6*i(o) + 234*x(o). -18*o Let k(y) = -6 + 2 + 95*y - 100*y. Let x(w) = -45*w - 35. Calculate -35*k(b) + 4*x(b). -5*b Let g(f) = f. Let i(p) = p + 1. Suppose 5*r + l + 80 = 0, -21 + 66 = -2*r - 3*l. Let q = 16 + r. What is q*i(y) + g(y)? 2*y + 1 Let q(l) = 3*l + 7. Let c(j) = -4*j - 8. Give 5*c(p) + 6*q(p). -2*p + 2 Let a(m) = -6*m**2 - m + 1. Let n be a(1). Let f(t) = -2*t + 4. Let y(p) = 2*p - 5. Calculate n*f(s) - 5*y(s). 2*s + 1 Let q(u) = -68*u. Let n(x) = -x. Give -10*n(z) + q(z). -58*z Let y(a) = 4*a**3 - 2*a**2 + 9*a + 1. Let x(w) = 13*w**3 - 7*w**2 + 27*w + 4. Calculate -2*x(p) + 7*y(p). 2*p**3 + 9*p - 1 Let w(v) = -v**2 + 3*v + 5. Let l(h) = -4 - h - h + 3*h**2 - 6*h - 10. Calculate -3*l(x) - 8*w(x). -x**2 + 2 Let b(n) = -20*n**3 - 10*n**2 + 10*n + 8. Let i(u) = u**3 + u**2 - u - 1. Give -b(m) - 10*i(m). 10*m**3 + 2 Let y(t) = 5*t**2 + 4*t. Let b be (108/(-30))/(2/(-5)). Let m be b/12*2*2. Let r(s) = -4*s**2 - 3*s. Give m*y(c) + 4*r(c). -c**2 Let p(n) = 2*n + 7. Let m(g) = g + 3. Give -5*m(j) + 2*p(j). -j - 1 Let g(t) = -4*t - 4*t + 0*t - t - 4. Let b(c) = 19*c + 9. Calculate -6*b(m) - 13*g(m). 3*m - 2 Let l = -8 - -11. Let b(a) = 2*a - 2. Let c(f) = 6*f - 5. What is l*c(r) - 8*b(r)? 2*r + 1 Let p(g) = -4*g**2 - 7*g - 1. Let c(d) = -11*d**2 - 20*d - 3. Calculate 6*c(i) - 17*p(i). 2*i**2 - i - 1 Let h(a) = -8*a**3 + 5*a**2 + 7*a - 5. Let w(d) = -7*d**3 + 4*d**2 + 6*d - 4. Give -4*h(c) + 5*w(c). -3*c**3 + 2*c Let x(t) = -t**2. Let o(j) = -2*j - 19. Let h be o(-11). Let f(i) be the second derivative of 0 - 1/12*i**4 - i + 0*i**2 + 0*i**h. Give 4*f(v) - 3*x(v). -v**2 Let x = -7 - -11. Let a be (-3)/6*-2 + 1. Let p(s) = 20*s**2 + x*s + a*s + 0*s. Let f(l) = -7*l**2 - 2*l. Calculate 17*f(n) + 6*p(n). n**2 + 2*n Let d(n) = -n**3 - n**2 - 1. Let k(y) = 5*y**3 + 2*y**2 + y + 1. What is -4*d(g) - k(g)? -g**3 + 2*g**2 - g + 3 Suppose -2*o + r + 0 - 2 = 0, -5*r - 20 = 0. Let n(l) = l**3 + 3*l**2 + 5*l. Let k(m) = -3*m**3 - 7*m**2 - 11*m. Calculate o*k(t) - 7*n(t). 2*t**3 - 2*t Let s(p) = 4*p**2 - 4*p. Let t(h) = -h. Let d be t(-2). Let w be (-23)/2 + 1/d. Let r(f) = 7*f**2 - 7*f. What is w*s(m) + 6*r(m)? -2*m**2 + 2*m Let k(h) = h. Let y be 1/(-1) + (7 - 2). Suppose -6*x - 15 = -x, -3*d - 3*x = -3. Let o(b) = -4*b - d*b + y*b. Calculate 6*k(i) + o(i). 2*i Let c(m) = 27*m**3 + 2*m**2 + 2. Let s(d) = -54*d**3 - 5*d**2 - 5. What is -5*c(j) - 2*s(j)? -27*j**3 Let o(j) = 2*j - 2. Let z(u) = u**2 + 7*u - 7. What is -7*o(l) + 2*z(l)? 2*l**2 Let i(m) = -28*m**2 + 4*m - 4. Let z(d) = -29*d**2 + 3*d - 3. Determine 3*i(u) - 4*z(u). 32*u**2 Let b(c) = 3*c**3 + 6*c**2 + 4*c - 3. Let j(t) = t - 13. Let a be j(8). Let p(o) = 4*o**3 + 5*o + 0*o**2 + 1 - 5 + 7*o**2. What is a*b(d) + 4*p(d)? d**3 - 2*d**2 - 1 Let k(n) = 12*n**3 + 2*n - 13*n**3 + 3 + 3*n**2 + 6*n**3. Let x(b) = -b**3 - b**2 - b - 1. Calculate -k(a) - 3*x(a). -2*a**3 + a Let h(t) = 6*t - 7. Let i(x) = 5*x - 6. Let b(w) = -w**3 - 16*w**2 - 15*w - 6. Let g be b(-15). Determine g*h(c) + 7*i(c). -c Let u(r) = -10*r**3 - r**2 + 2*r + 2. Let s(t) = -15*t**3 - t**2 + 3*t + 3. Determine -5*s(v) + 7*u(v). 5*v**3 - 2*v**2 - v - 1 Let j(r) = r**3 + 9*r**2 - 8. Let o(v) = -v**3 - 17*v**2 + 15. Calculate -11*j(z) - 6*o(z). -5*z**3 + 3*z**2 - 2 Let j(w) = -w**2 - w. Let i(v) = 3*v**2 - 4*v + 1. Calculate -i(h) - 4*j(h).
{ "pile_set_name": "DM Mathematics" }
3872*g**2 Let k(n) be the second derivative of -n**3/2 + 14*n - 4. Let l(z) = 11*z**2. Give k(l(a)). -33*a**2 Let q be 1/((20/(-8))/(-5)). Let h(l) = -15*l + q*l**2 + 15*l. Let z(n) = n**2. Calculate h(z(w)). 2*w**4 Let q(f) = -f - 3. Let p(h) = 7*h**2 - 2*h + 2. Let u(v) = 26*v**2 - 7*v + 7. Let g(b) = 7*p(b) - 2*u(b). Determine q(g(r)). 3*r**2 - 3 Let i = 3 + 2. Let p(q) = 5 - i + 5*q. Let d(s) = s + 10. Let v(m) = -4. Let c(j) = -2*d(j) - 5*v(j). Determine p(c(n)). -10*n Let h(s) = 11*s**2. Let v(f) = 16*f + 89. Calculate v(h(z)). 176*z**2 + 89 Let y(q) = q. Let g(i) = 361291*i + 2. Determine y(g(w)). 361291*w + 2 Let t(w) = w**2 - 8*w - 3 - 1 + 9*w + 3. Let r(o) = 8*o**2 + 7*o - 7. Let y(a) = -4*r(a) + 28*t(a). Let b(f) = -2*f**2. Determine b(y(q)). -32*q**4 Let z(m) = 6*m**2 - 8*m - 4. Let p(o) = -6*o**2 + 10*o + 5. Let x(u) = -4*p(u) - 5*z(u). Let c(k) = 21*k. Calculate c(x(t)). -126*t**2 Let p(x) = -26349*x. Let f(m) = -43*m**2. Calculate p(f(l)). 1133007*l**2 Let r(t) = -6*t**2. Let i(v) be the third derivative of 13*v**5/60 + 284*v**2. What is i(r(k))? 468*k**4 Let x(d) = 17*d**2. Suppose -4*h + 21 + 3 = 0. Let n(g) = g - 6 + h - 2*g. Determine x(n(c)). 17*c**2 Let z(x) = -x**2 - x + 1. Let w(h) = -4*h**2 - h + 1. Let n(j) = w(j) - z(j). Let s(y) = 4*y**2. Let l(a) = -3*n(a) - 2*s(a). Let t(v) = 6*v**2. Give l(t(o)). 36*o**4 Let q(j) = -4*j. Let y(g) = 85*g + 2. Let i(v) = 2125*v + 51. Let d(o) = -2*i(o) + 51*y(o). Calculate q(d(t)). -340*t Let v(n) = -4*n + 16*n - 5*n + 13*n + 4*n. Let q(m) = -3*m. Determine q(v(d)). -72*d Let p(c) = -2552*c. Let y(g) = -8*g**2. Calculate y(p(i)). -52101632*i**2 Let h(r) = -27*r. Let m(a) = -20427*a + 2. Give m(h(s)). 551529*s + 2 Let j(x) = 2*x. Let g(r) = 382128*r. Determine g(j(u)). 764256*u Let v(w) = 0*w + 0*w - 824*w**2 + 834*w**2. Let u(m) be the first derivative of m**3/3 + 1. Determine v(u(q)). 10*q**4 Let d(q) be the second derivative of -q**4/12 - 3*q. Let f(v) be the second derivative of 5*v**3/2 + v**2/2 - 298*v. Determine f(d(y)). -15*y**2 + 1 Let y(c) = -113 - c + 113. Let m(k) = 6*k**2 - 12*k. Determine y(m(x)). -6*x**2 + 12*x Let f(j) = 11*j**2. Let l(g) = 45*g**2. Determine l(f(m)). 5445*m**4 Let a(l) = -4*l. Let t(z) = 30*z**2 - 278. Give t(a(f)). 480*f**2 - 278 Let h(z) = -z**2. Suppose -7*a = -a - 12. Let u(m) = -17 + 17 - 23*m**a. What is h(u(g))? -529*g**4 Let d(c) be the third derivative of 469*c**4/24 + 82*c**2. Let u(n) = -n. Calculate u(d(x)). -469*x Let t(n) = 10*n**2. Let h(l) = 388462*l**2. Give h(t(o)). 38846200*o**4 Let q(i) = 2377*i - 2. Let t(f) = -f. What is t(q(x))? -2377*x + 2 Let f(s) = 2*s - 5. Let m(o) = 2*o - 6. Let v = -22 - -27. Let j(z) = v*m(z) - 6*f(z). Let c(n) = 7*n**2. Determine c(j(h)). 28*h**2 Let y be -3*2*3/(-6). Let w(a) = -a + y*a - 3*a. Let j(s) = 49*s - 49*s + 2*s**2. Determine j(w(d)). 2*d**2 Let b(n) = -29*n. Let o(z) = 51*z + 32*z - 81*z. Calculate b(o(k)). -58*k Let m(u) = 725*u**2. Let p(h) = -25*h + 6. What is m(p(a))? 453125*a**2 - 217500*a + 26100 Let k(z) = -7*z. Let q(o) = 2*o**2 + 2*o - 3. Let x be q(2). Let c(v) = -13*v**2 - x*v**2 + 20*v**2. Calculate k(c(a)). 14*a**2 Let b(m) = 16666*m**2. Let r(p) = -5*p. Give r(b(y)). -83330*y**2 Let p(w) = 28*w. Let x(b) = 1194*b. Determine x(p(a)). 33432*a Let l(q) be the first derivative of 4*q**3/3 - 42. Suppose 6*a + 2*g - 12 = 3*a, -11 = -a - 3*g. Let z(m) = m + m + 2*m**2 - a*m. What is z(l(i))? 32*i**4 Let l(g) = -14 + 14 - 2114*g + 2119*g. Let j(d) = d**2 + 6*d. Calculate l(j(w)). 5*w**2 + 30*w Let l(w) = -4*w - w - 9*w - w. Let d(s) = 3*s. Give l(d(p)). -45*p Let d(u) = 12*u**2 - 6*u - 12. Let j(s) = -5*s. Determine d(j(c)). 300*c**2 + 30*c - 12 Let a(w) = 75*w**2. Let g(l) = 523 + 527 - 2*l**2 - 1050. Calculate g(a(p)). -11250*p**4 Let a(l) = -l**2 - l**2 + 3*l**2. Let m(x) be the first derivative of -21/2*x**2 - 96 + 0*x. Calculate m(a(w)). -21*w**2 Suppose -5*b = -4 - 6. Let n(y) = b*y + 8 - 13 + 5. Let c(q) = 27*q**2. Calculate n(c(k)). 54*k**2 Suppose 3*w - 16 = 5*w - 5*o, w - 2*o = -6. Suppose -2*k = -i + 12 + 20, 5*k - 130 = -5*i. Let u(v) = -i*v + 28*v + v**w. Let m(n) = 2*n. Give m(u(p)). 2*p**2 Let u(t) = -3*t**2 - 8 + 8. Let c(i) = i**3 + 7*i**2 - 6*i + 11. Let p be c(-8). Let r(l) = l - 5. Let m(n) = 1. Let d(f) = p*m(f) - r(f). Calculate u(d(b)). -3*b**2 Let m(u) = -2*u + 268. Let l(y) = 2*y - 1. What is l(m(i))? -4*i + 535 Let w(p) = -538*p + 6. Let d(z) = 2*z. Calculate w(d(f)). -1076*f + 6 Let p(n) = -2. Let t(v) be the first derivative of -v**2 - 20*v + 32. Let b(q) = 10*p(q) - t(q). Let y(w) = -17*w. Determine y(b(l)). -34*l Let z = -31 - -33. Let w(g) = -7*g**2 + 6*g**z + 0*g**2. Let h(t) = 23*t**2. Calculate h(w(s)). 23*s**4 Suppose -7 = 38*v - 39*v. Let s(z) = z**2 + 6*z. Let u(a) = -a**2 - 7*a. Let w(q) = v*s(q) + 6*u(q). Let h(l) = -18*l**2. What is w(h(k))? 324*k**4 Let m(l) = l**2. Let c(w) be the second derivative of 0*w**3 - 11/12*w**4 + 15*w + 0 + 0*w**2. Determine c(m(b)). -11*b**4 Let t(x) = x**2. Let h(y) = 9389*y + 9. What is t(h(l))? 88153321*l**2 + 169002*l + 81 Let c(v) = -v. Let g(w) be the third derivative of 7*w**2 + 7/15*w**5 + 0*w + 0*w**4 + 0 + 0*w**3. Calculate c(g(q)). -28*q**2 Let c(n) be the third derivative of n**5/12 - 12*n**2. Let j(x) = -3*x**2. Let r(z) = 5*c(z) + 8*j(z). Let f(l) = 4*l**2 + 2 - 2. What is r(f(t))? 16*t**4 Let q(a) = -a**2. Let d = -23 + 25. Let f(o) = -3*o**2 - o**d + 5*o**2 + o**2. Determine f(q(s)). 2*s**4 Let p(y) = -2*y - y - y - y. Let v(o) be the first derivative of 2*o**3/3 - 2. Give v(p(i)). 50*i**2 Let a(r) = 2*r. Let u(s) = 64686*s**2. Determine a(u(i)). 129372*i**2 Let c(j) be the first derivative of -5*j**3 - j**2/2 + 45. Let d(y) = 3*y. Determine d(c(t)). -45*t**2 - 3*t Let s(i) be the first derivative of -5*i**4/12 - 15*i + 33. Let b(h) be the first derivative of s(h). Let u(y) = 6*y**2. Determine u(b(a)). 150*a**4 Let c(n) be the third derivative of 1/20*n**5 + 0 + 6*n**2 + 0*n**3 + 0*n**4 + 0*n. Let u(j) = j + 2*j - 3*j - j**2. What is u(c(m))? -9*m**4 Let m(a) be the third derivative of -7*a**6/360 + a**3 - 2*a**2. Let r(g) be the first derivative of m(g). Let x(z) = -z**2. Give x(r(f)). -49*f**4 Let w(s) = 8*s - 28. Let r(k) = 147*k. Calculate r(w(h)). 1176*h - 4116 Let u(v) = -10*v. Let s(h) = -11*h. Let f be ((-8)/16)/((-1)/10). Let w be (4/f)/(16/40). Let i(g) = w*u(g) - 3*s(g). Let c(p) = p. Calculate i(c(q)). 13*q Let t(v) = 54*v**2. Let p(b) = 276*b**2. What is p(t(d))? 804816*d**4 Let z(t) = -33*t - 4762. Let n(p) = -11*p**2. Calculate z(n(s)). 363*s**2 - 4762 Let s(f) = -6*f**2 + 11*f - 22. Let n(l) = l**2 - 2*l + 4. Let x(k) = -11*n(k) - 2*s(k). Let i(a) = -106*a. Determine x(i(u)). 11236*u**2 Let d(h) = 6*h**2. Let w(p) = -p**2. Let t(q) = -3*d(q) - 15*w(q). Let v(u) = -457*u + 150*u + 152*u - 3*u**2 + 155*u. Give t(v(k)). -27*k**4 Let r(n) be the third derivative of -3*n**5/10 - 7*n**2 - 4*n. Let h(o) = 4*o**2. Calculate h(r(v)). 1296*v**4 Let x(q) = -555*q + 5. Let v(u) = 67*u. Determine v(x(r)). -37185*r + 335 Let b(v) = -2*v + 1141 - 1141 + 3*v**2. Let g(o) = 2*o**2. What is b(g(m))? 12*m**4 - 4*m**2 Let w(g) = -12*g**2. Let l(y) be the third derivative of 0 + 1/12*y**4 + 0*y**3 - y**2 + 0*y. What is w(l(u))? -48*u**2 Suppose 4*h = -3*x + 2 + 18, 5*x - 20 = 0. Let j(d) = 2*d + 1. Let c be j(1). Let z(o) = -8*o**2 - 5*o**h - c*o**2 + 12*o**2. Let r(g) = -g**2. What is r(z(i))? -16*i**4 Let u(k) = k**2. Let p(r) = 143*r**2. What is u(p(a))? 20449*a**4 Let h(b) = -3*b. Let m(o) = -o**2 - 6*o + 10. Let n be m(-8). Let q = -6 - n. Let x(p) = q + p + 0. Calculate x(h(d)). -3*d Let a(k) = 87*k - 6*k**2 - 87*k. Let d(r) = -r**2. Let u(b) = 3*a(b) - 6*d(b). Let o(x) = x. What is o(u(h))? -12*h**2 Let s(f) = 2*f**2 + 182*f + 3. Let x(i) = 3*i. Calculate s(x(z)). 18*z**2 + 546*z + 3 Let n(r) = -501*r**2. Let g(x) = -x - 5 - x + 3 + 2. What is n(g(y))? -2004*y**2 Let g(o) = 13*o**2 + 19*o**2 - 36*o**2. Let i(p) = -5*p. Give g(i(y)). -100*y**2 Let l(d) = 15*d. Suppose -3*k - v + 0*v = -2, 2*v + 8 = 0. Let n(x) = 8*x**2 - 13*x**2 + 3*x**k. Determine n(l(z)). -450*z**2 Let i(h) = -10*h + 5 - 5 + 12*h. Let s(q) = 19*q. Give s(i(n)). 38*n Let t(y) = -y. Let b(l) = -5*l**2 - 6*l - 6. Let d(p) = 77*p
{ "pile_set_name": "DM Mathematics" }
v. Is b a prime number? True Let o(j) = -187*j - 47. Suppose -16*z - 68 - 44 = 0. Is o(z) a prime number? False Let j be (-5*21/(-15))/((-2)/(-6)). Is ((-49)/j)/(-7)*9897 prime? True Suppose 32*j = 4*j - 328028 + 2223208. Is j a composite number? True Let w(c) = -2*c**3 - 65*c**2 + 31*c + 50. Let a be w(-27). Let x = a + 20993. Is x prime? False Is 2*((-50)/6)/5*(-27369)/30 a prime number? True Let z be 324414/12*(-12)/(-18). Suppose -10*t + z + 4347 = 0. Is t prime? True Let h(a) = -a**3 - 7*a**2 - a - 31. Let x be h(-10). Suppose 0 = -4*s + 77 + x. Is s a composite number? False Let l(w) = -7*w - 34. Let d(s) = -s - 2. Let y(t) = -4*d(t) + l(t). Let k be y(-9). Is (-18 + -3)*(88/(-6) + k) a composite number? True Suppose -2*c + 2*i = -4*c + 214, c - 4*i = 102. Let u be c/3*21*1. Let a = -444 + u. Is a a composite number? True Suppose -t + 23949 = -5*s, -23929 = -t - 7*s + 8*s. Suppose -414*p - t = -418*p. Is p a composite number? False Suppose 3*p = -2*p. Suppose p = 4*c - 6*c. Suppose c = -5*j + 10*j - 1585. Is j a prime number? True Let z be (-4)/3 + 16/12. Suppose 13*v - 15*v - 2484 = z. Let k = v + 1807. Is k a composite number? True Suppose 116*z + 293928 = 124*z. Suppose -2*n + z = 14003. Is n composite? False Suppose 0 = -k - 2*x + 6995, -5*x = -6 - 19. Let o = -1416 + k. Is o a composite number? False Let y = -34 - -37. Suppose -4*g = h + 993, 2624 = -y*h + g - 420. Let n = h + 2919. Is n a prime number? False Let d = -90 - -106. Suppose d*u = 9*u + 21014. Let s = 509 + u. Is s a prime number? True Let x(o) = 686*o**2 + 580*o - 13. Is x(-44) composite? False Let y(z) be the first derivative of 7*z**3/3 - 8*z + 4. Is y(11) prime? True Suppose -3*l + 4008 = -l. Suppose 3*s = -5*o + 15050, -2394 = 2*o + 5*s - 8395. Let w = o - l. Is w a composite number? False Suppose 24*v + 176001 = 32352 + 678921. Is v prime? True Let b(d) = d**2 + 16*d - 26. Let r be b(-18). Suppose r*n = -68 + 8. Let p(y) = -6*y**3 - 3*y**2 + 11*y - 5. Is p(n) composite? False Let x be 24/9*(-1 - -1228). Let s = x - -1125. Is s prime? True Let p = 84310 + -24147. Is p a prime number? False Let u(r) be the second derivative of 2791*r**3/6 - 48*r**2 + r - 12. Is u(23) a prime number? False Suppose -2*w + 24 = 8. Suppose 0*h - 976 = -w*h. Suppose -o + 1531 - h = 0. Is o prime? True Let v = 6 + -3. Let y = 1247 + -838. Suppose -1352 = -v*u + y. Is u composite? False Let t(j) be the second derivative of 71*j**5/4 - j**4/12 + j**3/2 + 16*j. Let n be t(-2). Is n/(-4) - 1/(-2) composite? True Suppose -15*z = -3*z. Suppose -j - 4*w = 2*j, z = -2*j - 2*w + 2. Suppose 4443 = j*d + 1431. Is d prime? False Is (0 + -2)/(44/(-936826)) prime? False Let q(x) be the second derivative of 683*x**7/2520 + x**6/360 + x**5/60 + 17*x**4/12 + 16*x. Let l(j) be the third derivative of q(j). Is l(-1) composite? False Suppose 1002 = 13*g - 11764. Let o = 426 + -245. Let u = g + o. Is u a prime number? True Suppose -j + 229 = -5*n, 976 = 4*j + 4*n - 9*n. Suppose -107 = -4*t + j. Is t a prime number? True Let w = -37981 - -75698. Is w prime? True Let d(j) = 9864*j**3 - 4*j**2 - 76*j + 341. Is d(5) prime? False Suppose 3405491 = 12*a + 748415. Is a composite? True Suppose -118*k + 15758626 = -22672912. Is k prime? True Suppose 2*y + 2*n = 1176208, y + 52*n = 53*n + 588090. Is y prime? True Let t(a) = 22352*a**2 - 9*a - 13. Is t(-2) a composite number? False Let k = 79063 - -120034. Is k prime? False Suppose 2*m - 23*s = -25*s + 24202, 0 = 3*s + 15. Is m a composite number? True Let p(c) = 186*c**3 + 45*c - 73. Is p(8) prime? False Suppose -v + 1 = -l, l - 8 = 2*v - 10. Is (l + -2)*(59876/(-8) - -5) prime? False Let x(u) = -2*u**3 + u**2 - 2*u. Let l be x(1). Is (-17945)/10*-2 - (-6)/l a composite number? True Suppose -s + 2*d = 8, 3*s - 25 = -2*s - 3*d. Suppose 0 = s*m - 355 - 63. Is m prime? False Let w(f) = 7*f**2 + 7*f - 79. Let o(b) = -3*b**2 - 3*b + 39. Let n(j) = 5*o(j) + 2*w(j). Let v(t) = t + 2. Let p be v(-2). Is n(p) a composite number? False Let r(b) = b**3 - 14*b**2 + 47*b - 11. Let n be r(9). Suppose 0 = n*y - 2660 - 749. Is y a prime number? True Let s = 1088265 - -223068. Is s a composite number? True Is (-631988)/(-70) - (-27)/45 a prime number? True Let h(j) = 5*j - 23. Let r be h(13). Let z = 47 - r. Is -1 - (-18)/15 - (-1504)/z prime? False Is 0 + -12 + 366 + 18767 a prime number? True Is 44068/3 + -6 + 136/24 composite? True Let y = -730 + 705. Is ((-25)/y)/(4/16424) a composite number? True Suppose 0 = 4*z + 5*l - 400301, 5*z - 3*l + l - 500335 = 0. Is z a composite number? False Suppose -4*s + 3 = -5. Let y be 7670/90 - s/9. Suppose -w + y = -120. Is w a composite number? True Let k(m) = -10518*m - 9982*m - 13 - 7 - 25 + 980*m. Is k(-4) a prime number? False Suppose -15*w + 8 = -16*w. Let m be 2/(36/68954) + w/(-36). Suppose -6*i + m = -3*i. Is i prime? True Let i(p) be the third derivative of 7*p**6/120 - 3*p**5/20 + p**4/12 - 7*p**3/6 - 12*p**2 + 2*p. Is i(6) a prime number? True Suppose 15*z - 24 = 13*z. Suppose 5*c - 4*d = 33995, 2*c - 9*d - 13621 = -z*d. Is c prime? True Suppose -432031 + 4277511 = 40*c. Is c prime? True Let x = -779515 + 1454672. Is x a composite number? True Let i = -1 - 18. Let a = 22 + i. Let k(w) = 254*w - 9. Is k(a) a composite number? True Is (8/22)/(6/408837*13) prime? False Let a = -349 - -349. Suppose 5*l - 26*c + 28*c - 29899 = a, 5*c + 15 = 0. Is l prime? True Is 48/(-168)*(-555226)/4 composite? False Suppose -3*f + q + 3 + 3 = 0, 2*f - 5*q - 17 = 0. Suppose f = v, -2254 = -3*o - 4*v + 3*v. Is o a prime number? True Suppose 0 = -15*c + 7429 - 1009. Suppose c = 3*l - 613. Is l prime? True Suppose -25*u + u = -u - 17273. Is u composite? False Let g(m) = -m**3 + 44*m**2 + 143*m + 155. Is g(43) composite? True Let q be (114/(-24))/((-1)/4). Let f be (-64)/(-5)*(q + 1). Suppose -f = -2*n - 3*v, -5*n + 2*v + 604 = -55. Is n a prime number? True Let j(l) = -l**3 + l**2 - 8*l - 1226. Let v be j(0). Let a = v - -2725. Is a a composite number? False Let s be (-5)/15 + 100/3. Let u = s - 31. Is u/(-7) - (-2 - (-11302)/(-14)) a composite number? False Suppose 6*z + 12*z = 3*z. Suppose 6*f = -3*i + 8*f + 37111, 5*i + 3*f - 61877 = z. Is i composite? False Suppose 0 = -3*w - 4*c + 119, 16 = w + c - 24. Let f(y) = 25 + w*y + 3 - 15. Is f(14) composite? False Let s(g) = -64*g**2 - 53*g**2 - 12*g - 12 - 14*g**2 + 31 + 178*g**2. Suppose 2*j - 22 = -6. Is s(j) a prime number? False Let a(t) = 2 - 14*t + 4*t + 9*t + 3*t**2. Let v be a(1). Suppose -v*r = -9*r + 3935. Is r composite? False Let z be (10 - 267688/32)*(-6 - -2). Let g = -13172 + z. Is g prime? True Let q be 0/((-7)/(7/(-3))). Suppose v - 5*v = q. Suppose v = 46*z - 43*z - 2253. Is z composite? False Let t(w) be the second derivative of -w**3/6 - w**2/2 + 9*w. Let c be t(-5). Is (-12)/c*(-998)/6 composite? False Let n be (-534)/4*42/(-9). Suppose n = -2*o + 2315. Suppose o = -5*z + 2291. Is z composite? True Is (-71028)/(-108)*(4 - 1) composite? False Let v be 1 + -12046 + 5 + 5. Let m = v - -7373. Let u = m + 8309. Is u prime? False Suppose 16*o - 10*o + 522975 = 2422161. Is o composite? False Suppose 9 = 2*l - o, -12*o = -15*o - 15. Suppose l*s - 2089 = -3*f, 6*s - 4*s - 2107 = 3*f. Is s prime? True Suppose 59*p - 6841665 = 13240106. Is p prime? True Suppose 4*g - 3*s = -6*s + 21, 2*g + 3*s = 9. Suppose -17*w + g*w = -139733. Is w prime? True Suppose -10*l + 8*l = 1348. Let r = -38 - l. Is -3*1*r/(-18) composite? True Let n = 2675 - 2665. Suppose -4*r + 161 = -35. Is 158529/r - (1 + n/(-14)) a prime number? False Suppose -39*o - 39495724 = -187*o. Is o composite? False Suppose 3*p + 5593866 = 41*p. Is p a composite number? True Let h(m) = 2*m**2 + 4783. Let r be ((12 - 12)/((-4)/(-2)))/(-1). Is h(r) composite? False Let k(z) be the first derivative of 553*z**2/2 - 18*z - 6. Is k(11) a prime number? False Let z(j) = 13*j**2 - 171*j - 1727. Is z(-122) a composite number? False Suppose -8743 = -2*g - c, 5*g - 2*c - 18208 = 3627. Is g a prime number? False Let k = -211 - -60. Let y = -281 - -212. Let t = y - k. Is t composite? True Let a = 705 - -572. Is (15 + 5 + -24)*a/(-2) prime? False Suppose 5*w + 20 = 0, 3*m - 3 + 8 = -5*w. Suppose 314602 = m*y + 3*q, 82643 = y - q + 19721. Is y a composite
{ "pile_set_name": "DM Mathematics" }
b(n) - 5*q(n). -2*n Let d(i) = 17*i + 33. Let g(x) = -17*x - 29. Determine -6*d(q) - 7*g(q). 17*q + 5 Let i(c) be the third derivative of -c**6/24 + c**5/15 + c**4/12 - c**3/3 - 59*c**2. Let k(o) = 9*o**3 - 7*o**2 - 4*o + 4. What is 7*i(a) + 4*k(a)? a**3 - 2*a + 2 Let w(r) = r**3 + r. Let h(c) = -c**3 - 8*c**2 - 2*c - 16. Let n be h(-8). Suppose -6*u + 8*u - 8 = n. Let m(d) = 3*d**3 + 3*d. Give u*m(x) - 11*w(x). x**3 + x Let b(n) = -6*n**3 + 7*n**2 + 8*n - 51. Let u(j) = j**3 - j**2 - 2*j + 2. Give b(l) + 5*u(l). -l**3 + 2*l**2 - 2*l - 41 Let w(y) = 4*y**2 - 3*y. Let n(x) = 149*x - 1339. Let j be n(9). Let u(k) = k**2 - k - 1. Determine j*u(s) - w(s). -2*s**2 + s - 2 Let f(w) be the second derivative of -3*w**5/10 - 5*w**3/6 + 5*w**2/2 - 2*w + 39. Let y(c) = -30*c**3 - 24*c + 24. Determine -24*f(u) + 5*y(u). -6*u**3 Let w be 6*(-5 - (-42)/8)*-2. Let g(q) = -2*q**2 + 3*q + 3. Let t(d) = d + 1. Calculate w*t(z) + g(z). -2*z**2 Let f(j) = 6*j**3 - 6*j**2 + j + 4. Suppose 221 - 68 = 17*d. Let z(x) = 13*x**3 - 13*x**2 + 3*x + 9. Give d*f(g) - 4*z(g). 2*g**3 - 2*g**2 - 3*g Let n(q) = -q - q**2 + 0*q**2 + 70 - 69. Suppose y - 4*j - 28 = -y, 5*j + 14 = -y. Let f(z) = y*z**2 + 0*z + 0*z + 5*z - 2. Determine -f(r) - 4*n(r). -2*r**2 - r - 2 Let m(g) = -5*g - 5. Let a(s) = s + 1. Let l be (-2)/(-5) + (-39)/(-15) + 0. Suppose -k = -l*n + 16 + 17, -3*n + 33 = -2*k. Determine n*a(w) + 2*m(w). w + 1 Let d(f) = -7*f**2 + 7. Let b(n) = -2*n**2 + 3*n. Give -2*b(t) + d(t). -3*t**2 - 6*t + 7 Let c(a) be the third derivative of -a**3/6 + 16*a**2. Let s(r) be the second derivative of -r**3/6 - 4*r**2 + 9*r. Calculate 6*c(n) - s(n). n + 2 Let o(y) = y**2 + 85*y + 7. Let a(l) = 42*l + 4. What is 7*a(x) - 4*o(x)? -4*x**2 - 46*x Let b(y) = -2*y + 7. Let p(a) = 7*a - 12. Let x(i) = -20*i + 35. Let f(g) = -11*p(g) - 4*x(g). Calculate 7*b(d) + 6*f(d). 4*d + 1 Let u(l) = 4*l**2 + 35*l + 7. Let w(b) = 5*b**2 + 37*b + 9. Give -3*u(c) + 2*w(c). -2*c**2 - 31*c - 3 Let c(g) be the first derivative of -g + 702. Let p(w) = -3*w - 8. What is -6*c(r) + p(r)? -3*r - 2 Let i(d) = -13*d**2 + 4*d - 4. Let y(t) = 272*t**2 - 85*t + 85. Suppose -9*v + 4572 = 5337. What is v*i(k) - 4*y(k)? 17*k**2 Let n(k) = -6*k**2 - 4*k - 7. Let p(s) = s**2 + s + 1. Let z(b) = 2*b + 21. Let a be z(-11). Give a*n(t) - 4*p(t). 2*t**2 + 3 Let p(q) = 8*q**3 - 3*q**2 + 4*q - 4. Let a(z) be the first derivative of -6*z**4 + 8*z**3/3 - 11*z**2/2 + 11*z + 44. Give 4*a(t) + 11*p(t). -8*t**3 - t**2 Let p(t) = 17*t**2 - 17*t + 8. Let y(b) = 6*b**2 - 6*b - 4. Let m(w) = -6*w**2 + 6*w + 5. Let a(r) = 7*m(r) + 8*y(r). Let z = 4 - 8. Determine z*p(d) + 11*a(d). -2*d**2 + 2*d + 1 Let i(x) = x**2 + x. Let d(t) = -15*t + 9. Let h(j) = d(j) + 2*i(j). Let l(k) = k**2 - 6*k + 4. Let z be -3*4/(-72) + 700/(-168). What is z*h(c) + 9*l(c)? c**2 - 2*c Let c(t) be the first derivative of -t**2/2 - t + 459. Let f(i) = -6*i - 5. Calculate -34*c(b) + 6*f(b). -2*b + 4 Let t(a) = 10*a**3 - 11*a**2 - a. Let h(y) be the second derivative of -y**5/20 + y**4/12 + 2*y + 26. Let j be ((-44)/6)/((-3)/(-9)). Give j*h(x) - 2*t(x). 2*x**3 + 2*x Let x(w) = 168*w + 3. Let f(v) = 84*v + 2. Determine -5*f(z) + 3*x(z). 84*z - 1 Let w(a) = -4*a**2 + 4*a + 3. Let u(z) = -7*z**2 + 8*z + 7. Determine 2*u(t) - 5*w(t). 6*t**2 - 4*t - 1 Let u(p) = 3*p + 1. Let g(s) = -2*s**3 + s**2 - 12*s + 18. What is -g(i) - 4*u(i)? 2*i**3 - i**2 - 22 Suppose -2 + 79 = 7*l. Let j(w) = -4 - w + 18 + 3*w - l. Let c(t) = -2*t - 3. Give -5*c(b) - 4*j(b). 2*b + 3 Let u(i) = -i**2 + i. Let y(o) = -2*o**2 - 3*o + 17. Determine 3*u(n) + y(n). -5*n**2 + 17 Let w(v) = 3 - 3 + 3 - 4 - 7*v. Let x(d) = -3*d. Determine 4*w(a) - 9*x(a). -a - 4 Let i(h) = 2*h - 61. Let l(y) = y - 30. What is -3*i(g) + 7*l(g)? g - 27 Let c(b) = -2*b**2 + 8*b - 7. Let p(a) = -2*a**2 + 6*a - 7. Give 4*c(z) - 5*p(z). 2*z**2 + 2*z + 7 Let r(b) = 11*b + 117. Let n(y) = 5*y + 58. Determine -9*n(t) + 4*r(t). -t - 54 Let m(h) = -14*h - 6. Let k(s) = -28*s - 12. Let u(q) = -4*k(q) + 7*m(q). Let t(a) = -27*a - 11. What is -6*t(r) - 11*u(r)? 8*r Suppose -3 = 2*s + 7. Let z(p) be the first derivative of -p**3/3 - p - 5. Let u(n) be the first derivative of -n**3 - 5*n + 4. What is s*z(o) + u(o)? 2*o**2 Let o = -714 - -718. Let w(y) = -4*y + 2. Let g(r) = r - 3 + 4 - 2. Calculate o*g(l) + 2*w(l). -4*l Let y(k) = 23*k - 5*k**2 - 1 + 23*k - 41*k + 6 + 18*k**3. Let z(j) = -9*j**3 + 2*j**2 - 2*j - 2. Give 2*y(w) + 5*z(w). -9*w**3 Let n(q) = q**3 + 8. Let y(t) = -3. Let p be 2 - (-2 + 1 - -1). Suppose 5*h = 2*k - 36, k + 4*h + 10 = p. Calculate k*y(d) + 3*n(d). 3*d**3 Let p(w) = -8*w + 32. Let l(j) = 9*j - 33. What is 5*l(b) + 6*p(b)? -3*b + 27 Let b(d) = -31*d**3 + 22*d**3 + 10*d**2 - 17*d**2. Let w(n) = 3*n**3 + 2*n**2. What is -4*b(o) - 14*w(o)? -6*o**3 Let t(m) = m**2 - 4*m - 2. Let p be (-3 + (-38)/(-14))*-7. Let n = p - 0. Let j(l) = 0*l**2 + 8*l + 2*l**n - 17*l - 4. What is 3*j(c) - 7*t(c)? -c**2 + c + 2 Let h(u) = -u. Let v(m) = -6*m**2 - 34*m + 8. Let f be v(-6). Let w be 7 + -6 + f + 8 + -2. Let q(j) = -4*j**2 + 4*j. Calculate w*h(x) + q(x). -4*x**2 + x Let c(u) = 10*u. Let j = 25 - 32. Let d be (-2)/j + 328/28. Let v(w) = -w. Calculate d*v(a) + c(a). -2*a Let a(k) = 144*k. Suppose h - v + 135 = 4*h, 0 = v. Let o(p) = -13*p. What is h*o(l) + 4*a(l)? -9*l Let m(x) = x**3 + 12*x**2 + 3*x + 3. Let t(a) = -3*a**3 - 15*a**2 - 4*a - 3. Determine 3*m(c) + 2*t(c). -3*c**3 + 6*c**2 + c + 3 Let c(q) = 12*q**3 + 4*q**2 - 10*q - 7. Let y(t) = 13*t**3 + 3*t**2 - 8*t - 6. Give 4*c(a) - 5*y(a). -17*a**3 + a**2 + 2 Let r(f) = f**2 - 9*f - 6. Let g be r(9). Let n = 24 + g. Let s(h) = -8*h + 1. Let k(q) = q. Give n*k(x) + 2*s(x). 2*x + 2 Let r(s) = 16*s**2 - 10*s - 59. Let g(x) = 25*x**2 - 16*x - 89. What is -5*g(d) + 8*r(d)? 3*d**2 - 27 Suppose 47 = -3*y - 52. Let f = y + 35. Let i be ((-22)/(f/(-1)))/1. Let u(d) = -13*d - 15. Let x(w) = -7*w - 8. Give i*x(h) - 6*u(h). h + 2 Suppose 3*k = 22 - 13. Suppose -k*s - 5*t = 9, 5*s = -0*s - 4*t - 2. Let u(w) = w**3 - w**2 + 3*w. Let b(z) = -z**3 - 2*z. Determine s*u(a) + 3*b(a). -a**3 - 2*a**2 Let y(p) = -216*p**2 + 36*p + 36. Let j(m) = m**2 + m + 1. Determine -72*j(h) + 2*y(h). -504*h**2 Let j(w) = -7 + 1 + 4. Let b(g) = g - 10. Let t be 1/((-2)/8*2). What is t*b(v) + 11*j(v)? -2*v - 2 Let t(u) = -u**3 - 5*u**2 - 6. Let p(k) be the third derivative of -k**5/15 - 5*k**3/6 + 30*k**2 - 5. Determine 6*p(m) - 5*t(m). 5*m**3 + m**2 Let h = 179 + -184. Let s(c) = -7*c**2 + 5*c. Let q(f) = f**3 + 8*f**2 - 6*f. What is h*q(j) - 6*s(j)? -5*j**3 + 2*j**2 Let r(o) = -127*o + 248*o - 118*o + 4. Let u(t) = -6*t - 8. Calculate 7*r(b) + 4*u(b). -3*b - 4 Let r(a) = -11*a**3 + 6*a**2 + a - 8. Let v(y) = 10*y**3 - 8*y**2 + 10. Give 4*r(x) + 3*v(x). -14*x**3 + 4*x - 2 Let k(y) = 23*y**2 + 8*y - 7. Let t be k(1). Suppose 4*q - 3*b = 36, -5*q + 3*q = -3*b - t. Let p(v) = -4*v - 5. Let u(n) = -n - 1. What is q*p(h) - 30*u(h)? 6*h Let r(j) be the second derivative of j**4/12 + j**2/2 + j - 173. Let f(c) = -c**2 - 1. Calculate -3*f(i) - 5*r(i). -2*i**2 - 2 Let w(i) = 9*i - 15. Let b(t) = 4*t - 7. Let y = -289 - -295. Determine y*w(s) - 13*b(s). 2*s + 1 Let m(a) = -a**3 + 1. Let n(b) = 5*b**3 - 40. Give -120*m(c) - 3*n(c). 105*c**3 Let w(c) = 4*c**2 - 3*c + 2. Let v(y) = -6*y**2 + 5*y - 3. Suppose -3*u + 18 = -6*r + 3*r, u - 9 = 4*r. Calculate u*v(a) + 8*w(a). 2*a**2 + a + 1 Let m = -17 + 16. Suppose 0 = -8*k + 5*k - 5*l + 5, -4*k + 4*l = -28. Let w(f) = -1. Let n(c) = -c**2 - c - 4. Give k*w(a) + m*n(a). a**2 + a - 1 Let j(f) = f + f + 2 - 3*f. Let b(l) = -7*l + 13. Let p be 3/12 - (-171)/4. Suppose -2*q - 35 - p = 0. What is q*j(a) + 6*b(a)? -3*a Let r(l) = 74*l**3 - 8*l**2 - 14*l + 18. Let h(m) = -37*m**3 + 4*m**2 + 8*m - 10. What is 7*h(v) + 4*r(v)? 37*v**3 - 4*v**2 + 2 Let k(p) = 5*p + 59. Let g(i) = -12*i - 117. Give 2*g(u) + 5*k(u). u + 61 Let m(g) = -g**2 + 3*g + 4. Let n = 375 + -221. Let r(s) = 2 - 153*s - 1 + n*s. What is m(q) - 4*r(q)? -q**2 - q Suppose 0 = -12*p - 236 - 148. Let k(r) = -40*r**2 + 32*r - 32. Let g(a) = -a**2 + a - 1. Give p*g(i) + k(i). -8*i**2 Let f(w) = 5*w**3 - 3*w**2 - 5*w + 6. Let u(h) = -4*h**3 + 5*h**2 + 6*h - 4. What is 2*f(n) + 3*u(n)? -2*n**3 + 9*n**2 + 8*n Let l(v) =
{ "pile_set_name": "DM Mathematics" }
(b) 1 (c) m (d) i d Let a = -1.8 + 94.8. Let k = 93 - a. What is the second smallest value in -26, k, 0.3, 0.2? k Let z(r) = 20*r - 16. Let k be z(1). Let p be k/6*7 + (-18)/27. Let s = 19 + -22.9. What is the biggest value in s, p, -0.4? p Suppose 0 = 4*q - 28 - 4. Let t = 150 + -56. Let f = t + -93.8. Which is the second smallest value? (a) -0.5 (b) f (c) q b Suppose 88*j = 102*j + 42. Which is the smallest value? (a) j (b) -479 (c) 0.1 b Let g = -981 + 980.97. Suppose -4*x + 11 = -37. Let z be -1 - -3*x/(-9). Which is the second smallest value? (a) 4 (b) g (c) z b Let j = 121.4 + -121.4. Suppose -4 - 20 = -3*n. Which is the second smallest value? (a) n (b) 1/6 (c) j (d) -0.1 c Let k = -156158/13 - -12012. Which is the third smallest value? (a) -264 (b) -2 (c) k c Let r = 15.981 + -15.9. Let j = r + -0.031. Let l = -44 - -44.04. What is the third biggest value in -2, l, j, -0.4? -0.4 Let j = 15958 + -15953. Which is the third biggest value? (a) 455 (b) j (c) -0.1 c Let u(h) = h**2 + 8*h - 12. Let j be u(-9). Let r = -1571/135458 + -4/761. Let w = r + 273/356. Which is the third smallest value? (a) w (b) -3/4 (c) j a Let q = 467 - 2333/5. Let w = -0.08 - -0.38. Let x = w + -0.36. Which is the third biggest value? (a) 4 (b) -5 (c) q (d) x d Let b = -0.2246 + 0.3246. What is the second smallest value in 5.1, b, 5, -4? b Let y be (14/(-12 - 2))/((-6)/(-12)). Which is the smallest value? (a) y (b) 0.5 (c) -410 c Let u = -2744 - -2743.5. Let p = -57/34 - -3/17. Which is the second biggest value? (a) 2/31 (b) u (c) p b Let c = -170 + 169.7. Let b = 0.44 - 0.04. What is the third smallest value in b, 3/2, c? 3/2 Let w = -3.0025 + 0.0725. Let c = 0.07 - w. Let x = -113446 - -113443.8. What is the second biggest value in c, 0, x? 0 Let r = -0.00181 - -0.30181. Which is the fourth smallest value? (a) 0.42 (b) 0.05 (c) r (d) -0.4 a Let x be 6/14 + 30 + (-23511)/714. Which is the third smallest value? (a) -3 (b) 2 (c) 4 (d) x (e) 218 b Let t be 8 - 1*4/(-144)*(-2604)/9. Which is the third biggest value? (a) 3 (b) -2/7 (c) t (d) -9/4 b Let y(m) = m**2 - 15*m + 29. Let i be y(13). Suppose 20 = -2*n - i*n. What is the biggest value in -36, n, 1/5? 1/5 Let a be 6*1*(-12)/(-297). Let k = 678 - 22372/33. Let l = k - a. What is the third smallest value in -2/9, -8, l, 0? l Let c = 94.3 + 112.3. Let z = c + -207. What is the third smallest value in z, 1, 0, 4? 1 Let w = -1275.47 - -1275.27. Let q = 73 + -44. Which is the third biggest value? (a) -5/2 (b) 0.1 (c) w (d) q c Let z be (1 + 3)*413/10738. Which is the smallest value? (a) z (b) 130 (c) 3 (d) 0.1 d Let g = -73 - -67. Let r be 5 - 2 - (9 - 2 - 6). Let n be 3/30*(0 + 2). What is the third biggest value in g, r, n? g Let w = -0.0775 - 5.0125. Let u = w - -4.89. Which is the biggest value? (a) 0.4 (b) 25 (c) u b Let f = 75 - 78. Let w = 3.55 - 3.15. Which is the second biggest value? (a) w (b) 1/4 (c) f b Let f = -1296.6 - -1331. What is the smallest value in -2, f, 4/5? -2 Let h be (-232 - -223) + 4*26/12. What is the fourth biggest value in h, 2/3, -0.21, -0.5, -3/2? -0.5 Suppose -142*z + 78 = 153*z - 269*z. What is the second smallest value in 0, 4, -6, z, 5? 0 Let m = 796 - 800. Which is the second biggest value? (a) 2/5 (b) 27 (c) m (d) -2/5 (e) -2/19 a Let z = -3039 - -3039.4. What is the biggest value in -0.07, -4, -2/25, z? z Let p = 0.145 - 0.045. Let w = -0.026 + 45.026. Let k = 52 - w. What is the second smallest value in 3, p, k? 3 Let t = 86 + 83. Let y = t + -169.2. What is the biggest value in 2.4, y, -2/9? 2.4 Let c be 15/10*(-8)/(-96). What is the smallest value in c, 40, 0.3, -0.04, -1? -1 Let w = 3.893 - 3.4959. Let r = w + 0.0029. What is the third smallest value in -0.4, r, 5, 0? r Let z = 13183 + -13171. Which is the smallest value? (a) 1.22 (b) z (c) -3/7 c Let y = -43.353 + 43.8. Let v = 0.047 - y. Let k = -2.6 + 1.9. What is the smallest value in v, 4, k? k Let b = -4.71 + 0.71. Let w = -180.3 - -180. Let m = 283/4 + -72. What is the second biggest value in b, w, m, -2/15? w Suppose 43*u - 2*l - 2272 = 38*u, 0 = 5*u - 3*l - 2273. Let i = u + -449. What is the second smallest value in -0.1, i, 1/29? 1/29 Let v = 1259 - 1258.9489. Let m = v + -0.0611. Which is the smallest value? (a) 0 (b) -0.1 (c) m b Let z = 4615 - 4614. Which is the fifth biggest value? (a) 0.251 (b) z (c) 4 (d) 0 (e) 5/2 d Let r = -145 - -611. Let q = -474.3 + r. Which is the biggest value? (a) q (b) 2 (c) -0.5 b Let r = 0 + 0.1. Suppose x = 3*v - 4*v + 8, 5*v = -x - 8. Which is the third smallest value? (a) v (b) r (c) -0.2 (d) 4 b Let p(o) = 3*o + 54. Let v be p(-18). Suppose z + 43 - 55 = v. What is the second smallest value in -0.1, z, 0.4? 0.4 Let p = 1.6 - 0.6. Let x = 0.5 + 50.5. Let j = 54 - x. Which is the third biggest value? (a) p (b) j (c) -0.4 c Let v(g) = -21*g - 11. Let f be v(-1). Suppose 0 = 4*u + 2 + f. Which is the smallest value? (a) u (b) -0.95 (c) 1/4 a Let q = -5/22 - -3/110. Let j = -353 + 153. Let m = 1403/7 + j. What is the biggest value in q, m, -16? m Let s = 47 - 17. Let b = 35001 - 35001.4. What is the third smallest value in s, 1, b? s Let h = 3596 - 3600. What is the second biggest value in -247, h, 2? h Let l = -48.87 - -49.17. What is the third biggest value in -2/11, -1, 1082, l? -2/11 Let s(l) = l**3 + 29*l**2 - 253*l - 31. Let q be s(-36). Let k = -5.4 - -5. Which is the second biggest value? (a) k (b) q (c) 3 c Let y be 4*(-24)/(-9) + (-18)/27. Let k = -3.9 + -2.1. What is the third smallest value in 0.3, -4, k, y? 0.3 Let d = -39/424 + -7/212. What is the fourth smallest value in -5, -1/2, d, 8? 8 Suppose 0 = 253*q - 2779 + 249. What is the third smallest value in -1.2, 0, -3, q? 0 Let u be (-8)/(-32) - 2/8. Suppose u*w - 3*w + 63 = 0. Which is the smallest value? (a) 0.5 (b) -1/4 (c) w (d) -2/15 b Let n = -61.621 - -10.221. Which is the second smallest value? (a) n (b) -1/3 (c) -5 c Let n be (-4 + 0)/(-2) + (-45)/60 + -2. Which is the second biggest value? (a) -0.02 (b) 2/13 (c) -2 (d) n (e) 2/19 e Let x be 226 + -4 - 242/44*2. Which is the smallest value? (a) -0.4 (b) x (c) -3 c Let g = 1.717 + -1.917. What is the third smallest value in 12, g, -16? 12 Let q = 2.5 - -0.5. Let m = -867.8923 + -0.1077. Let x = -872 - m. What is the smallest value in -30, -1/5, x, q? -30 Suppose -4*v = 13 - 45. Let u(x) = -6*x**2 + 48*x - 4. Let s be u(v). Let p = 1 - -2. What is the second biggest value in p, s, -1/3? -1/3 Let j(k) = -15*k + 3. Let u be j(-3). Let v be (-1 - 1)*8/u. Let r = 185 + -186. What is the biggest value in v, -13, r? v Let o be (-354)/252 + (1 - -9*(-1)/21). Let h = -1.11 - 0.04. What is the second biggest value in o, 5, h? o Let y = -583.5 - -795. Let i = y - 150. Let a = i + -62. What is the fourth smallest value in 0.1, a, 2, 0.5? 2 Let t(q) = -84*q + 24. Let o be t(2). Which is the biggest value? (a) -3 (b) -2 (c) o (d) -2/11 (e) -1 d Let s = 0 + -4. Let d = 135.533 - 135.833. Which is the third biggest value? (a) d (b) s (c) 0 b Let z = 9.3 + -4.3. Suppose -2*k + 6*k - 32 = 4*x, -2*k + 3*x + 21 = 0. Let t be (k - -1)*(6 - 5). Which is the biggest value? (a) z (b) t (c) 0 a Let j = 554.378 + -281.931. Let o = j - 272. Which is the third smallest value? (a) -2/21 (b) o (c) -0.3 b Let s = 4188 + -4188.78. Let u be (-30)/(-9)*9/6. Which is the smallest value? (a) s (b) u (c) -0.5 a Let r = 2382 - 2377.9. What is the third biggest value in -2, r, -1/6? -2 Let y = 754.9 + -754.9. Which is the third smallest value? (a) -1612 (b) -0.1 (c) 2/3 (d) y d Let k = 1 - -1. Let h(l) = -l**3 - 53*l**2 + 54*l - 2. Let q be h(-54). Which is the fourth biggest value? (a) -3/2 (b) -3 (c) k (d) q b Let l = -10147 - -10147. What is the second biggest value in 1/4, -12, l, -3? l Let r = 22.37 - 22.27. What is the third smallest value in -25, r, -0.5, 2/9? r Let r = 32.958 - -0.042. Let w = -33.3 + r. What is the third biggest value in 0.5, w, -2, 0? w Suppose 0 = -5*d - 5*o + 460, 37*d + 3*o - 452 = 32*d. What is the second smallest value in -2/3, d, -0.6? -0.6 Let f(x) = -x**2 - 218*x - 1293. Let u be f(-6). Which is the third smallest value? (a) -
{ "pile_set_name": "DM Mathematics" }
2*k + 12276 for k. -66 Solve -2180*t - 36203 - 58477 = 18642 + 6578 for t. -55 Solve -348*c - 93 = 3039 for c. -9 Solve -314*l - 42739 = -228*l + 2298*l + 66925 for l. -46 Solve 5612*d = -263510 + 701246 for d. 78 Solve 303410 = 7474*l + 71716 for l. 31 Solve -35*g - 983023 = -984528 for g. 43 Solve -86920 = 520*c + 1120*c for c. -53 Solve -149*m + 834 + 90 = -171*m for m. -42 Solve -80*u + 42*u - 16655 = 531*u + 11226 for u. -49 Solve 0 = 12556*p - 333480 - 404664 - 9551 - 18221 for p. 61 Solve -699*j + 610*j - 498 = -76 + 1714 for j. -24 Solve 0 = -200*z - 130*z - 126*z + 32832 for z. 72 Solve 124*q + 29811 = -1024*q - 4629 for q. -30 Solve 402*x - 103*x - 2718 = 2066 for x. 16 Solve 1607*x - 507 - 921 = 1523*x for x. 17 Solve -680*l = 22719 + 11961 for l. -51 Solve -35*g + 114*g - 2282 + 1746 - 3019 = 0 for g. 45 Solve 2356*w = -15675 - 18759 + 6162 for w. -12 Solve -29*t = -104 + 163 - 233 for t. 6 Solve -1731*j + 154 = -1738*j for j. -22 Solve 758*l + 669*l - 45408 = 160*l - 109*l for l. 33 Solve 2815*n - 4790*n = 102700 for n. -52 Solve -166*j = 1860254 - 1854776 for j. -33 Solve -214620 = 465996*b - 467456*b for b. 147 Solve 130*r + 10540 = 17170 for r. 51 Solve -142*g - 46348 = 47962 - 82240 for g. -85 Solve -270462 - 1350172 = -15289*o for o. 106 Solve -31945 = -1257*o - 6235 + 15771 for o. 33 Solve 11504*g + 61806 = -51974 + 21748 for g. -8 Solve -117*w + 208*w + 675 = 116*w for w. 27 Solve 2791 = 1191*n - 305*n - 37079 for n. 45 Solve -4265 - 11455 = -655*x for x. 24 Solve 0 = 393954*s - 393751*s + 4060 for s. -20 Solve -1695*p - 3555*p - 20951*p = -2593899 for p. 99 Solve -146184 = 2276*l + 140592 for l. -126 Solve 241*o + 266*o + 141*o = -26568 for o. -41 Solve -15*g + 541*g = 58*g + 32292 for g. 69 Solve -625*k + 1162*k = 640*k + 7828 for k. -76 Solve -66621*k + 66638*k = 612 for k. 36 Solve -607*b + 703*b = 1736*b + 19680 for b. -12 Solve -1699*p = -1766*p + 469 for p. 7 Solve -9616*n + 5341*n - 513000 = 0 for n. -120 Solve -26090 - 15388 = -1023*c + 12741 for c. 53 Solve 90*z - 3688 - 2732 = 4560 for z. 122 Solve -336*n - 395*n = -84*n + 4661 + 25101 for n. -46 Solve 57*a = -174*a + 15*a + 9072 for a. 42 Solve -570*a = -1525*a + 115555 for a. 121 Solve 8966*v - 1152663 = -390553 for v. 85 Solve 1392*x + 5359*x = 209281 for x. 31 Solve 164*r + 209 = -441*r - 16731 for r. -28 Solve 459*v + 13276 + 9674 = 0 for v. -50 Solve -601*c + 10525 - 1140 = -12251 for c. 36 Solve 0 = -513*h + 970*h - 481*h + 768 for h. 32 Solve 652*l + 2278*l + 1360*l = 137280 for l. 32 Solve -50*q = -2055 + 1711 + 2794 for q. -49 Solve 0 = -7*j + 43*j + 96*j - 6600 for j. 50 Solve -342*u = -86 + 408 - 3400 for u. 9 Solve 0 = -111*q - 28*q + 77*q - 868 for q. -14 Solve -489*q - 177*q = -8658 for q. 13 Solve -248*i + 1559 + 299 = -374 for i. 9 Solve 6515*h - 2680 - 505490 = 0 for h. 78 Solve -272 + 159 = 13*k - 3*k - 133 for k. 2 Solve 455*c = 3893 + 14307 for c. 40 Solve 267 = 52*c - 329 + 960 for c. -7 Solve 79185*m - 1111 = 79232*m + 1333 for m. -52 Solve -3172*t + 254134 - 101878 = 0 for t. 48 Solve -3910*s - 10566 = -388*s for s. -3 Solve 26399*h + 3845328 - 519054 = 0 for h. -126 Solve -6*a + 104 = 27*a - 46*a for a. -8 Solve 0 = -84*t - 43*t - 46*t + 48*t - 6500 for t. -52 Solve 0 = -13728*w + 13038*w + 48300 for w. 70 Solve 0 = 382984*h - 383062*h - 2886 for h. -37 Solve 1048 = 68*i + 77 - 661 for i. 24 Solve 1023243*f - 1023084*f - 19080 = 0 for f. 120 Solve -1448*l - 32208 = 1584*l - 2788*l for l. -132 Solve -2255*h + 74122 - 78723 = -243631 for h. 106 Solve 1692 = 46*z + 3118 for z. -31 Solve 6*n - n = -102583 + 102713 for n. 26 Solve 0 = -286*b - 760*b + 5071*b + 273700 for b. -68 Solve 539*t + 392*t - 10704 = 39*t for t. 12 Solve -8*b - 6225 + 12484 = 6179 for b. 10 Solve 3235*z - 99*z - 46651 = 213637 for z. 83 Solve -4152 = 291*p - 983*p for p. 6 Solve 0 = -512*b - 478*b + 29626 + 15914 for b. 46 Solve -9*u + 41 - 757 - 916 = 23*u for u. -51 Solve 353*i - 7486 = 899*i - 349*i for i. -38 Solve 250542*t = 125285*t + 125117*t + 12600 for t. 90 Solve -6463*c - 278090 = -93411 + 325898 for c. -79 Solve -8*b + 1151 = 33*b + 3242 for b. -51 Solve 47*w - 31*w + 49*w = 102 - 1337 for w. -19 Solve 46*j - 36*j + 351*j + 4323 - 18041 = 0 for j. 38 Solve 0 = -4000*p - 140204 + 420204 for p. 70 Solve 36*h - 430*h + 7483 + 7367 = 156*h for h. 27 Solve 2*y - 73 - 53 = -36 + 24 for y. 57 Solve 2237 + 8974 - 1905 = -181*u - 2097 for u. -63 Solve -1727*g + 2750 = 9659 + 13815 for g. -12 Solve -1218*n + 1935 + 501 = 0 for n. 2 Solve 162*u - 2527 = 5400 - 799 for u. 44 Solve 889*q + 9891 = 3668 for q. -7 Solve -2779*s - 24577 - 12944 = 9722 for s. -17 Solve -12408 = -980*m + 1262*m for m. -44 Solve 2162 + 3493 = -305*x - 5020 for x. -35 Solve -13272 = 365*o + 4944 - 2156 for o. -44 Solve 528*l + 1242 - 5444 = 93*l + 53*l for l. 11 Solve 142*v - 147695 = -156499 for v. -62 Solve -157672 + 12781 = -3125*h + 36359 for h. 58 Solve 115*s = 4461 + 868 - 154 for s. 45 Solve 7260*s = 7451*s + 8404 for s. -44 Solve -526*t = 91*t - 15425 for t. 25 Solve -223*r - 4388 + 5358 - 30406 = 0 for r. -132 Solve 554*t = 2112*t + 133988 for t. -86 Solve -76*f - 109 + 666 = 45*f - 169 for f. 6 Solve -92*q - 91591 = -681*q - 29*q - 26083 for q. 106 Solve -198*i - 2941 - 27640 = 69*i - 4682 for i. -97 Solve -573*u - 648 = -312*u - 297*u for u. 18 Solve -115 - 95 = 11*n - 34 for n. -16 Solve 206*t + 212*t = 630*t - 206*t + 120 for t. -20 Solve 139454 = -86*r + 147968 for r. 99 Solve 93362*q = 93746*q - 22656 for q. 59 Solve -1969*r + 2021*r - 1302*r = 3012*r - 426200 for r. 100 Solve 14323*v = 453030 - 163462 + 140122 for v. 30 Solve 123*c - 391*c - 3158 = -18434 for c. 57 Solve 453*w = 2736 - 11463 - 4410 for w. -29 Solve -98*y - 2266 = 230*y - 225*y for y. -22 Solve 10636*r = 10699*r - 328 + 13 for r. 5 Solve 12*m - 5*m = 34*m - 64*m + 1665 for m. 45 Solve -1335 + 19123 = 111*f - 962*f - 1785 for f. -23 Solve 0 = -7280*q + 35058*q - 3000024 for q. 108 Solve 0 = 2551*s + 19533 - 101165 for s. 32 Solve 60363*f - 228 = 60287*f for f. 3 Solve 69 = -15*r + 102 + 72 for r. 7 Solve -204 - 363 = 173883*t - 173965*t + 89 for t. 8 Solve 4896*y - 1066*y - 120 = 30520 for y. 8 Solve 0 = -39*x - 18786449 + 18789608 for x. 81 Solve 3459*j - 4205 + 38795 = 0 for j. -10 Solve 361*x + 7173 = 6*x + 162*x + 2584*x for x. 3 Solve 17*i - 7*i - 28*i = 29*i + 3337 for i. -71 Solve 70803 = -473*f + 111954 for f. 87 Solve -43*z - 1323 + 666 - 1278 = 0 for z. -45 Solve 563*z - 30 = 1481 + 2993 for z. 8 Solve 342*q + 4495 = -4395 - 2396 for q. -33 Solve -82*t + 380483 = 374333 for t. 75 Solve -7266*l = -1978*l - 126912 for l. 24 Solve -873*q - 9125 - 13895 = 278*q for q. -20 Solve -66 = -292333*f + 292344*f for f. -6 Solve -143*u = 53*u - 33*u - 16952 for u. 104 Solve 38*m - 1477 + 2511 = -45*m + 9998 for m. 108 Solve -1056*o = -17868 + 92844 for o. -71 Solve -34*x = -34*x - 18*x - 252 for x. -14 Solve 538*c + 1245 = -2570 - 15015 for c. -35 Solve -248*i + 1699 = 213*i + 13224 for i. -25 Solve -592*o + 230*o - 977*o + 83293 = -198*o for o. 73 Solve 3845*q + 1002*q + 160*q + 124*q + 466921 = 0 for q. -91 Solve -2320*j = -3593*j + 117116 for j. 92 Solve 14282 = -406*y + 41484 for y. 67 Solve 10137 - 1791 = -739*s - 13085 for s. -29 Solve -103*a = 1281*a - 15165 - 27739 for a. 31 Solve 1488 + 1030 + 2090 = 57*m - 201*m for m. -32 Solve -23742*j - 26614 = -23457*j + 5591 for j. -113 Solve 16512*m - 16600*m + 419 - 2504 - 819 = 0 for m. -33 Solve 132*b = -85*b - 216*b - 67*b + 18000 for b. 36 Solve 234 + 1211 + 5956 = 88*a - 1927 for a. 106 Solve -566*k - 106714 = -73886 for k. -58 Solve 4072*i - 44798 = 110306 + 142152 for i. 73 Solve -201*y = -41*y + 5698 + 1208 + 134 for y. -44 Solve 1632 + 98 = 42*t + 61*t - 21 for t. 17 Solve 458 = 261*i - 343 + 18 for i. 3 Solve 0 = -29*t + 116*t + 100*t - 9350 for t. 50 Solve 3166*l = 3401*l - 16215 for l. 69 Solve 7340*u - 7462*u = 5978 for u. -49 Solve 146*b - 9490 = 511*b for b. -26 Solve 87894 + 121174 = -3852*l - 29756 for l. -62 Solve -4014*l + 256*l + 167812 = 51314 for l. 31 Solve 0 = 197*c - 32*c - 78*c + 870 for c. -10 Solve 400*j = -246*j + 28424 for j. 44 Solve -91 = -20*j - 2*j + 14*j + 645 for j. 92 Solve -434*i = 6474 + 3074 for i. -22 Solve 1485 = -2059*z
{ "pile_set_name": "DM Mathematics" }
656 + 4492 for b. -17 Solve -732 = -n - 746 for n. -14 Solve 168*g - 5940 + 1114 = -86*g for g. 19 Solve -67*s + 51*s + 64 = 0 for s. 4 Solve -203*k + 2523 = -466*k + 176*k for k. -29 Solve 0 = 41*i - 55*i - 140 for i. -10 Solve 168 = -5*m + 4*m + 15*m for m. 12 Solve 46 = -11*t - 69 + 27 for t. -8 Solve 10*f = -6038 + 6148 for f. 11 Solve 0 = -17*l + 141 - 362 for l. -13 Solve 26*n = -6*n + 6*n - 312 for n. -12 Solve -5*u - 105 + 191 = 126 for u. -8 Solve 7*h - 691 = -80*h - 82 for h. 7 Solve 44*y - 690 + 1315 = -783 for y. -32 Solve -4776 + 3756 = -51*b for b. 20 Solve 180 = 41*l + 18*l - 528 for l. 12 Solve 48*n = 7566 - 6798 for n. 16 Solve 81*c - 277 = 695 for c. 12 Solve -32713 = 21*j - 32692 for j. -1 Solve 11*z + 92 = -48*z + 800 for z. 12 Solve -6*r - 23*r - 480 = 3*r for r. -15 Solve -10*z + 39 = -31 for z. 7 Solve -5110 = 313*a + 1776 for a. -22 Solve -42013*m - 15 = -42028*m for m. 1 Solve -53*w = 175 + 249 for w. -8 Solve 3967*d - 3947*d + 87 = -333 for d. -21 Solve -58*y - 3*y + 128 = 616 for y. -8 Solve -459 = 104*b - 53*b for b. -9 Solve 295*r = 125*r - 114*r - 284 for r. -1 Solve 43*p - 16 = -747 for p. -17 Solve -1047*c - 495 = -1014*c for c. -15 Solve 6*r + 33*r + 87 = 10*r for r. -3 Solve -27*k = 289 + 278 for k. -21 Solve -711*l - 29689 = -9070 for l. -29 Solve 31*j + 11*j + 51 = -159 for j. -5 Solve -2149 = -20*k - 4561 + 1952 for k. -23 Solve 0 = -34*o - 5*o + 4*o + 455 for o. 13 Solve 965 = -29*w + 878 for w. -3 Solve 14*k = 13*k - 6*k - 56 for k. -8 Solve -26*x + 302 + 220 - 2 = 0 for x. 20 Solve 12430*c = 12393*c - 1258 for c. -34 Solve 0 = -15630*w + 15691*w - 1586 for w. 26 Solve -1596*c = -1472*c - 1860 for c. 15 Solve -12*w - 12*w - 390 = 6*w for w. -13 Solve 124*j - 144 - 1056 = 4*j for j. 10 Solve -3574*y + 3594*y + 220 = 0 for y. -11 Solve -200*g = 196*g + 6732 for g. -17 Solve -72*c + 13*c - 441 = 149 for c. -10 Solve -490 - 430 = -102*i + 10*i for i. 10 Solve 264*j + 110*j + 13838 = 0 for j. -37 Solve 0 = -72*s - 13*s - 140*s + 4050 for s. 18 Solve 52 = c + 3*c - 0*c for c. 13 Solve 20*b + 256 = -117 + 213 for b. -8 Solve -54*g - 880 + 286 = 0 for g. -11 Solve -17*i = 22*i + 312 for i. -8 Solve 17*y + 593 = 457 for y. -8 Solve 0 = -78*m + 92*m + 196 for m. -14 Solve -83*v + 1174 - 344 = 0 for v. 10 Solve -387*u - 725 = -416*u for u. 25 Solve -4 = -3*g - 28 for g. -8 Solve 452*m - 190 = 471*m for m. -10 Solve 770 = 120*k + 3050 for k. -19 Solve 869*y - 396 = 847*y for y. 18 Solve 180*s - 9 = -9 for s. 0 Solve 0 = -12*s + 627 - 843 for s. -18 Solve 36*r - 33 + 501 = 0 for r. -13 Solve -102*d + 18312 = -712*d - 44*d for d. -28 Solve 1919*o = 1943*o + 456 for o. -19 Solve -2794 = -15*f + 4*f - 2442 for f. 32 Solve 8621 = 42*d + 9041 for d. -10 Solve -14*f + 131*f + 2538 = -1206 for f. -32 Solve -l + 3*l = 6*l + 60 for l. -15 Solve 102*m + 29421 = 31257 for m. 18 Solve 104*r + 75 = 79*r for r. -3 Solve -452*v = 54*v + 7084 for v. -14 Solve -112*h - 54*h + 3487 = 167 for h. 20 Solve 273*j + 68*j - 4092 = 0 for j. 12 Solve 463*f - 34 = 480*f for f. -2 Solve 201*b - 574 + 28 = 19*b for b. 3 Solve 417*c + 180 = 407*c for c. -18 Solve -1260 = 37*d - 140 + 64 for d. -32 Solve 112*m + 196 = 84 for m. -1 Solve -1721 = 231*m - 166*m - 551 for m. -18 Solve 21*p + 0*p + 208 = -5*p for p. -8 Solve 49*u = 60*u - 52*u - 123 for u. -3 Solve 13*g + 10 = 11*g + 32 for g. 11 Solve 132 - 170 - 270 = 22*r for r. -14 Solve 0 = 28*b - 144852 + 144488 for b. 13 Solve -8433*h + 234 = -8446*h for h. -18 Solve -86*y = 440 - 1079 - 737 for y. 16 Solve 27*f - 360 = -171 for f. 7 Solve -175*q + 161 = -336*q for q. -1 Solve 56*s = -25*s + 258 + 633 for s. 11 Solve 368*c = -975*c - 15376 - 16856 for c. -24 Solve 20*u + 18*u - 252 = 10*u for u. 9 Solve -287*j = -148*j - 145*j - 18 for j. -3 Solve 2846*c - 540 = 2831*c for c. 36 Solve -51*m - 47*m = -71*m + 54 for m. -2 Solve -48027*v + 704 = -47983*v for v. 16 Solve -2919*k = -2935*k + 64 for k. 4 Solve -54*l + 436 = 652 for l. -4 Solve -79*q - 21 + 15 = -164 for q. 2 Solve 229*x + 871 + 445 = 182*x for x. -28 Solve 3100 - 3112 = 12*c for c. -1 Solve 42*d = -10*d + 25*d - 37*d for d. 0 Solve 176*w - 342 - 140 = 574 for w. 6 Solve 118*j = -25*j - 79*j + 41*j for j. 0 Solve 101 = 24*o - 139 for o. 10 Solve 114*u = -87*u - 29*u + 230 for u. 1 Solve 13*z + 888 = 732 for z. -12 Solve -305*x - 95*x = 413*x + 24390 for x. -30 Solve 63*q = -2 + 1577 for q. 25 Solve 2561 - 2545 = -s for s. -16 Solve 0 = 8*t + 23*t + 47 + 108 for t. -5 Solve -165*u + 74*u - 1274 = 0 for u. -14 Solve 308*y - 91 = 833 for y. 3 Solve 703 - 2403 = 37*j - 105*j for j. 25 Solve 709 - 880 = 9*s for s. -19 Solve -688*c - 116*c - 125 = 5503 for c. -7 Solve 0 = 60*j + 1193 - 413 for j. -13 Solve 0 = -37*a - 20*a + 64*a + 7 for a. -1 Solve 93*m - 250 = -436 for m. -2 Solve -39*k - 99 = -72*k for k. 3 Solve 22*p + 207 = -24*p + 115 for p. -2 Solve -5*j + 23*j - 170 = 52*j for j. -5 Solve -121*o - 819 - 875 = 0 for o. -14 Solve -1306*r + 1229*r + 1232 = 0 for r. 16 Solve -912 = 86*j + 6 + 372 for j. -15 Solve 0 = -13*w + 25*w - 28 - 80 for w. 9 Solve 171*i = 22*i + 4023 for i. 27 Solve 71*j = 68*j - 27 for j. -9 Solve 1 = v - 5 + 19 for v. -13 Solve 551*u - 270*u + 78 = 255*u for u. -3 Solve -3357 = -298*a + 815 for a. 14 Solve -63 = 56*a + 17 + 200 for a. -5 Solve 39 - 52 + 41 = 2*w for w. 14 Solve -437 + 6262 + 39055 = -1496*h for h. -30 Solve 0 = 26*c - 72 + 98 for c. -1 Solve -63*h - 5 = -62*h + 6 for h. -11 Solve -21*o = -594 + 258 for o. 16 Solve 9*w - w + 360 = -52*w for w. -6 Solve -7*b = 61*b - 340 for b. 5 Solve -2152 = -318*t - 220*t for t. 4 Solve 0 = -464*d + 479*d - 45 for d. 3 Solve -10*g + 75 = -101 + 206 for g. -3 Solve 2269*r - 18 = 2266*r for r. 6 Solve 103*s = -2819 + 1995 for s. -8 Solve 45*s = -108*s + 1377 for s. 9 Solve -6*q + 336 = 312 for q. 4 Solve 194*r + 178*r = 116*r - 4096 for r. -16 Solve 321 = 49*u - 247 - 69 for u. 13 Solve 8*n = -5587 + 5683 for n. 12 Solve 0 = 78*n - 133 + 75 - 254 for n. 4 Solve -579*m = -493*m + 2494 for m. -29 Solve -13*l - 59*l - 936 = 0 for l. -13 Solve -112*w + 1080 = -4*w for w. 10 Solve 75*d = 12*d - 378 for d. -6 Solve t - 31*t = -9*t - 252 for t. 12 Solve 0 = 66*c - 546 + 1998 for c. -22 Solve 75*i - 713 = -338 for i. 5 Solve 23*j - 149 + 162 = 335 for j. 14 Solve -427*v + 279*v = 1332 for v. -9 Solve 8*f + 32*f - 5*f - 910 = 0 for f. 26 Solve 16*w = 77*w - 549 for w. 9 Solve -x + 8 = 5 + 2 for x. 1 Solve 0 = 389*x - 385*x + 48 for x. -12 Solve 138311*t + 38 = 138313*t for t. 19 Solve -4*t + 4235 = 4303 for t. -17 Solve -13*c = 11361 - 11413 for c. 4 Solve -19*x + 59*x + 51*x = 637 for x. 7 Solve -570 = 801*o + 378 + 2256 for o. -4 Solve -i - 4227 = -4215 for i. -12 Solve -20 = 9849*c - 9851*c for c. 10 Solve -23*b + 1560 - 3017 = -1043 for b. -18 Solve 182*o - 1536 = 134*o for o. 32 Solve -207*f + 2034 = 222*f - 4401 for f. 15 Solve 62*j + 791 + 325 = 0 for j. -18 Solve 120*l = -l for l. 0 Solve 0 = -190*y - 268*y - 52*y + 510 for y. 1 Solve 15*w - 34 = -169 for w. -9 Solve -32*b - 136336 + 136048 = 0 for b. -9 Solve 43*k - 255 - 218 = 0 for k. 11 Solve -292363 + 292366 = -h for h. -3 Solve 0 = -591*b + 1092 - 5214 - 2379 for b. -11 Solve 133 + 327 = -115*g for g. -4 Solve 29*w + 540 - 2068 = -745 for w. 27 Solve 0 = -381*m + 419*m for m. 0 Solve 107*d + 1243 = 173 for d. -10 Solve 12*v - 6*v = -11*v - 119 for v. -7 Solve 0*f + 2659 = -3*f + 2623 for f. -12 Solve -5*m - 167 + 217 = 0 for m. 10 Solve -4886*s + 4916*s - 720 = 0 for s. 24 Solve -24*d - 271 = 26*d + 179 for d. -9 Solve 11*p + 3*p + 95*p = -1417 for p. -13 Solve 61*f + 528 = -18*f + 13*f for f. -8 Solve 26*y - 13*y - 581 = 96*y for y. -7 Solve -7158*g = -7151*g - 119 for g. 17 Solve 374*r - 376*r - 14 - 12 = 0 for r. -13 Solve 552 = 4*g + 596 for g. -11 Solve 2*q + 1 = 44*q - 461 for q. 11 Solve 309*t - 130*t = 136*t - 688 for t. -16 Solve 491*t + 2610 + 699 = -6020 for t. -19 Solve -10*q - 442 - 408 = 75*q for q. -10 Solve -193*j - 613 - 1742 - 154 = 0 for j. -13 Solve 1594*y + 4398 = -3572 for y. -5 Solve -517*i - 474 + 106 = 149 for i. -1 Solve 18*o + 17*o - 150 + 80 = 0 for o. 2 Solve -47*s - 18 = -37*s - 128 for s. 11 Solve -8*u + 15*u - 61*u + 1242 = 0 for u. 23 Solve -11*r - 113*r + 1755 = 11*r for
{ "pile_set_name": "DM Mathematics" }
Find the third derivative of -2*b*l**4*z - 29884*b*l**4 - 2*b*l**3 - 25*b*l**2*z - 47*b*z + 3*l**2*z wrt l. -48*b*l*z - 717216*b*l - 12*b Find the second derivative of -1153170*z**2 - 355969*z. -2306340 Find the third derivative of 1111*l**2*z**4 + 8*l**2*z**2 + l**2 + 7*l*z**5 + 2*l*z + 1170*z wrt z. 26664*l**2*z + 420*l*z**2 What is the second derivative of 2*h**2*j**3 - 2*h**2*j**2 - 26*h**2*j - 42*h**2 + 5*h*j**3 + 155*h*j**2 + 3*h*j + 8*j**3 + 1 wrt h? 4*j**3 - 4*j**2 - 52*j - 84 What is the first derivative of 2*o**2*v**3 - 41527*o**2 - v**4 - 2318*v wrt v? 6*o**2*v**2 - 4*v**3 - 2318 What is the third derivative of -139223*s**3*y**2 - s**2*y - 4*s*y**2 - 12*s*y - 4*y**2 + 37*y wrt s? -835338*y**2 What is the second derivative of 142*d**3 - 165*d**2 + 1140648*d? 852*d - 330 What is the second derivative of -12691*r**2 - 50232*r wrt r? -25382 What is the third derivative of 2*u**5*z**3 - 75681*u**5*z + 3507*u**2*z**3 + u**2*z + 2*u*z - z**3 wrt u? 120*u**2*z**3 - 4540860*u**2*z What is the third derivative of -2742*c**3*k*n**2 - 2*c**3*k + 4*c**2*k*n**2 - c**2*k*n - 2*c**2*k + 4*c*k - 41*k*n**2 wrt c? -16452*k*n**2 - 12*k Find the second derivative of 3453*o**2 - 26023*o wrt o. 6906 What is the third derivative of -15286*r**5 - r**4 - 20*r**3 + 3055*r**2 - 197*r? -917160*r**2 - 24*r - 120 Find the second derivative of 1390631*y**5 - 2*y + 41577 wrt y. 27812620*y**3 What is the second derivative of -20*c**3*n**2 - 17*c**3*n + 8*c**2*n**2 - 5*c**2*n - c**2 + 9*c*n**2 - n**2 + 74*n wrt n? -40*c**3 + 16*c**2 + 18*c - 2 Find the first derivative of -3193426*t**4 + 1076901. -12773704*t**3 What is the second derivative of 104*g*k**2*r - 23*g*k*r**2 + 4*g*r**2 + 67*g - k**2*r**2 - 20*k**2*r - 20*r**2 wrt r? -46*g*k + 8*g - 2*k**2 - 40 Find the first derivative of 2100*v**3 - 5*v**2 + 5*v + 12809 wrt v. 6300*v**2 - 10*v + 5 Find the second derivative of -7666*b**3*t**3 + 4*b**3 - 3*b*t**3 - 2782*b*t**2 + 6*t**3 - 2*t wrt b. -45996*b*t**3 + 24*b What is the second derivative of -4228*o**2 - 22733*o wrt o? -8456 What is the third derivative of 1193826*n*q**3 + 1669808*n*q**2 - 3*q**5 wrt q? 7162956*n - 180*q**2 What is the third derivative of -2*j**3*o**3 + 2*j**3*o**2 - 3787*j**3*o - 2*j**2*o**2 + j**2 + 328*j*o**4 + 17*o**4 wrt o? -12*j**3 + 7872*j*o + 408*o What is the second derivative of -2*h**4 - 197*h**3 - 8*h**2 - 4*h + 4431? -24*h**2 - 1182*h - 16 Find the second derivative of -191874*p**2*w**3 + 783*p*w**3 - 2*p*w + 53*w wrt p. -383748*w**3 Differentiate 15*j*q**4 + 7*j*q**2 + 30830*j + 29*q**2 with respect to q. 60*j*q**3 + 14*j*q + 58*q Find the second derivative of 120*j**4 - 9*j**3 + 99*j + 43. 1440*j**2 - 54*j Find the first derivative of 963559*l - 1587713. 963559 Differentiate -g*h**2 - 4*g + 794*h**2 + 13981 wrt h. -2*g*h + 1588*h Find the third derivative of -48*a**4*j + 80*a**4 + 26*a**3*j + 586*a**2*j + 8*a**2 + a*j wrt a. -1152*a*j + 1920*a + 156*j Find the third derivative of 6250*l**4 - 28*l**3*q**3 + 51*l**2*q + 6559*q**3 wrt l. 150000*l - 168*q**3 What is the third derivative of 56944*b**2*r**3 + 9*b**2*r**2 + 2*b*r**3 + 3*b*r**2 + 135*r - 5 wrt r? 341664*b**2 + 12*b Find the third derivative of 2*x**5 - 15*x**4 + 445*x**3 + 39*x**2 - x - 213. 120*x**2 - 360*x + 2670 What is the second derivative of -12544*p**2 + 2473*p wrt p? -25088 What is the third derivative of -31863*i**3 - 16145*i**2 wrt i? -191178 What is the second derivative of 2399406*i**2*p**4 - i**2*p**3 + 2*i**2*p - 62515*i**2 + 2*p + 1 wrt p? 28792872*i**2*p**2 - 6*i**2*p Find the second derivative of -12947*h**3*v**3 - 288*h**3*v - 24*h**3 + h**2*v**4 - v wrt v. -77682*h**3*v + 12*h**2*v**2 What is the first derivative of 366*l**3 + 1726*l**2 - l + 736563 wrt l? 1098*l**2 + 3452*l - 1 What is the third derivative of 111202*o**5 - 9754*o**2 - 8*o wrt o? 6672120*o**2 Find the third derivative of 10603*p**6 + 436*p**2 + p - 11 wrt p. 1272360*p**3 What is the third derivative of 475355*r**3 - 551108*r**2? 2852130 Find the third derivative of -48499*u**4 + 125742*u**2 wrt u. -1163976*u What is the second derivative of 990*j**3*m**2 - 4*j**3 - 495*j**2*m**3 - 83*j**2*m + 586*j*m wrt m? 1980*j**3 - 2970*j**2*m Differentiate -219845*j - 72972 with respect to j. -219845 Differentiate 7*f**3 + 4*f**2 + 226*f*n + f + 2*n + 235005 with respect to f. 21*f**2 + 8*f + 226*n + 1 Find the first derivative of -k**2 + 2035086*k*p + 5052187*p wrt k. -2*k + 2035086*p What is the third derivative of 122929*u**5 - 2*u**3 - 506*u**2 - 134 wrt u? 7375740*u**2 - 12 What is the second derivative of 24*b**3 + 330*b**2 - 60347*b? 144*b + 660 What is the second derivative of 1091870*a**2*h**2 + a**2*h - 2*a*h - 111*a + 59 wrt h? 2183740*a**2 Find the second derivative of 40774*l**5 - 3*l**2 - 1004985*l wrt l. 815480*l**3 - 6 What is the second derivative of 79821*m**5 - 119136*m wrt m? 1596420*m**3 Find the first derivative of 61*d*l**3 + 3*d*l**2 + 4*d + 13*l**2 + l - 2684 wrt l. 183*d*l**2 + 6*d*l + 26*l + 1 Find the third derivative of 3*a**4*k - 21284*a**3*k - 70*a**2 - 507*a*k + k wrt a. 72*a*k - 127704*k What is the third derivative of -4*x**4 + 3640*x**3 - 14044*x**2? -96*x + 21840 What is the derivative of -3*o**2*r**4 - 4*o**2 + 4568*r**4 + 2*r + 44 wrt r? -12*o**2*r**3 + 18272*r**3 + 2 Find the second derivative of 25*i*z**4 - 2*i*z + i + 4173*z**4 + z**3 - 64*z - 98 wrt z. 300*i*z**2 + 50076*z**2 + 6*z Find the second derivative of 10*v**4 - 28251*v**3 - 3*v - 98628 wrt v. 120*v**2 - 169506*v Find the second derivative of -12*q**5 - 20732*q**3 - 1617392*q. -240*q**3 - 124392*q What is the second derivative of 1986052*d**5*w + 5552*d*w - 8*d + 2*w wrt d? 39721040*d**3*w Find the third derivative of -36*s**6*u + 112*s**4*u + 16722*s**2*u wrt s. -4320*s**3*u + 2688*s*u Find the second derivative of -3493*z**2 + 484836*z + 1. -6986 What is the third derivative of 136850*s**6 + 154734*s**2? 16422000*s**3 Find the second derivative of -26918*i**3 + 5454*i wrt i. -161508*i Differentiate 40002*h**4 + 5*h + 402670. 160008*h**3 + 5 What is the derivative of -295*a*q**2 - 38302*a + 4*q**2 - 274*q - 25 wrt q? -590*a*q + 8*q - 274 What is the second derivative of -264897*g**2*h**2*z**3 - 3*g**2*h**2 + 2*g**2*h*z**2 + 4*g**2*z**2 - 8*g*h - 11*g*z + 9*z**3 - 4*z**2 wrt h? -529794*g**2*z**3 - 6*g**2 What is the third derivative of -12757*f**3*r**2*u - 5*f**3*r**2 + 9*f**2*r + 3587*f*r**2*u wrt f? -76542*r**2*u - 30*r**2 What is the third derivative of -191*h*o**4 + 673*h*o**3 - 2*h*o**2 - h - 119*o**2 + 119 wrt o? -4584*h*o + 4038*h Find the first derivative of 25360*s**2*u**3 - 468*u**3 + 87*u wrt s. 50720*s*u**3 Differentiate 89*c*f*u**2 + 5*c*f - 3*c*h**2*u - 4*c*u**2 + 420*f*h**2*u + h*u**2 wrt h. -6*c*h*u + 840*f*h*u + u**2 Find the second derivative of -2*m*q**4 - m*q**2 + 2*m*q + 20*m - 1821*q**4 - 701*q wrt q. -24*m*q**2 - 2*m - 21852*q**2 Differentiate -37493*k**3 + 10643 wrt k. -112479*k**2 Differentiate 6240*s**2*u - 4*s**2 + 1873*s + 3*u**3 wrt u. 6240*s**2 + 9*u**2 What is the third derivative of 2*r**6 - 36*r**4 - 17*r**3 + 14865*r**2 + 3? 240*r**3 - 864*r - 102 What is the third derivative of 57*x**5 - 720*x**4 + x**2 + 4*x + 6807 wrt x? 3420*x**2 - 17280*x What is the derivative of 50992*k**2*p - 2*k**2 + 2*k + 11312 wrt p? 50992*k**2 What is the derivative of 3937458*w**3 - 2981406? 11812374*w**2 Find the second derivative of -3356*c**2*d**3 - 194*c**2*d - c**2 - 3*c*d**3 - 66427*d**3 wrt c. -6712*d**3 - 388*d - 2 What is the third derivative of -2081*c**3 + 212*c**2 - 3*c + 4? -12486 What is the third derivative of -1197*z**6 + 36*z**4 + z**2 - 17*z - 649? -143640*z**3 + 864*z Find the second derivative of -1114*k**4 - k**3 + 80*k - 84. -13368*k**2 - 6*k What is the third derivative of -2*c**5 + 1655*c**4 - 21*c**3 + 15*c**2 - 2191*c - 4 wrt c? -120*c**2 + 39720*c - 126 What is the derivative of 58*c**2 + 214*c + 33391 wrt c? 116*c + 214 Find the second derivative of 114660*k**3 - 2*k**2 + 6658*k - 49. 687960*k - 4 Find the second derivative of -7*t**3*x - 14*t**3 + 2*t*x + 2*t + 987*x wrt t. -42*t*x - 84*t Find the third derivative of -31913*g**3 + 633*g**2 - 5*g - 2 wrt g. -191478 Find the third derivative of -76818*s**4 + 586920*s**2. -1843632*s Find the third deriva
{ "pile_set_name": "DM Mathematics" }
rt(88) - -2*sqrt(88)) + sqrt(88))*1)/(sqrt(968) + (sqrt(968) - 1*sqrt(968)) + sqrt(968)). 2*sqrt(11)/11 Simplify (4*(0 + 0 + sqrt(252)))**2. 4032 Simplify (sqrt(95) - (1*(-2*sqrt(95) + sqrt(95)) + sqrt(95)))/(sqrt(40)/(sqrt(24)/sqrt(3)) + sqrt(5) + sqrt(5)). sqrt(19)/3 Simplify ((sqrt(231)/sqrt(7))/sqrt(11))**2 + sqrt(6)/(sqrt(14)/sqrt(7)). sqrt(3) + 3 Simplify (sqrt(70) - (sqrt(70) - (sqrt(70) - (sqrt(70)*-1 + sqrt(70))))*-4)/(sqrt(10)*2*3). sqrt(7)/6 Simplify (sqrt(17) + 1 - sqrt(17))*6 + -5. 1 Simplify 4 + sqrt(22)/sqrt(99). sqrt(2)/3 + 4 Simplify (((-2*sqrt(660))/sqrt(12))/sqrt(5)*5)**2. 1100 Simplify sqrt(76)/(sqrt(44)/sqrt(11)) + (sqrt(2299) - (sqrt(2299) - sqrt(2299)*2 - sqrt(2299)))**2. sqrt(19) + 20691 Simplify ((sqrt(2160) - sqrt(2160)*3) + sqrt(2160))/((sqrt(192) + sqrt(12))*6). -sqrt(5)/5 Simplify ((2 + sqrt(208) + 1*sqrt(208) - (2 + sqrt(208) + 1)) + 4)**2. 24*sqrt(13) + 217 Simplify (sqrt(2) + 1*sqrt(2)*3)*-5. -20*sqrt(2) Simplify sqrt(700)*-4*3. -120*sqrt(7) Simplify (0 + sqrt(272) - 1*sqrt(68))**2. 68 Simplify (-6*(sqrt(85)/sqrt(80) + 3*sqrt(17) + 1))**2. 234*sqrt(17) + 26001/4 Simplify (4*-2*sqrt(85))/sqrt(5) + 0. -8*sqrt(17) Simplify 3*(sqrt(175)*1)**2. 525 Simplify -4 + -4*sqrt(468)*4. -96*sqrt(13) - 4 Simplify (((sqrt(95) + sqrt(95)*3)*-2)/sqrt(5))**2. 1216 Simplify sqrt(11) + (-1*sqrt(66))/sqrt(6) + sqrt(66)/sqrt(6) + 5. sqrt(11) + 5 Simplify ((4*sqrt(240) - sqrt(240))/sqrt(8))/(sqrt(6)*-2*6). -sqrt(5)/4 Simplify 4 + (1*(sqrt(2)*2 + -4))**2. -16*sqrt(2) + 28 Simplify (-3*1*sqrt(156))/(sqrt(108)/(sqrt(36)/sqrt(4))). -3*sqrt(13) Simplify (3*((sqrt(45)*2 + sqrt(5) - sqrt(5)) + sqrt(45)/sqrt(144))*-5)**2. 703125/16 Simplify -3 + 3 + (sqrt(1216)*3 - sqrt(1216)). 16*sqrt(19) Simplify 2*(4 + sqrt(5) + 4 - sqrt(5))*-6. -96 Simplify -6*sqrt(76) + sqrt(171)/(sqrt(18)/sqrt(2)). -11*sqrt(19) Simplify (sqrt(833) + -2 + -4)**2. -84*sqrt(17) + 869 Simplify (sqrt(297)/(-4*sqrt(9)))/sqrt(3). -sqrt(11)/4 Simplify (sqrt(18)/(sqrt(9) + sqrt(45)/sqrt(5)))**2 + sqrt(2) + 3. sqrt(2) + 7/2 Simplify sqrt(156)/(sqrt(1200)*2 + sqrt(1200)). sqrt(13)/30 Simplify (-5 + (2*sqrt(891) - sqrt(891)))**2 + 2 + -2. -90*sqrt(11) + 916 Simplify 2*((sqrt(588) + 2*sqrt(588) + sqrt(588) - sqrt(588)) + sqrt(588) - sqrt(12))**2. 17496 Simplify (-1*sqrt(3600) + sqrt(3600))/((sqrt(720) - (sqrt(720)*3 - sqrt(720))) + sqrt(720) + sqrt(5)). 0 Simplify (3*(sqrt(3) + sqrt(3) + -1) - sqrt(3) - ((sqrt(3) + -1)**2 + sqrt(3) + 1))*4. -32 + 24*sqrt(3) Simplify ((-1*sqrt(128))**2 + sqrt(2) + 5 + sqrt(2) + sqrt(8))*6. 24*sqrt(2) + 798 Simplify (5*(sqrt(119) + sqrt(119)*-2 + sqrt(119)))/(sqrt(7) - sqrt(224)/sqrt(2)). 0 Simplify (-4*-1*sqrt(209))/((sqrt(11) - (sqrt(22) - sqrt(44)/sqrt(2))/sqrt(2)) + sqrt(11)) + 2. 2 + 2*sqrt(19) Simplify -2*(-2 + 1*sqrt(3))*-1. -4 + 2*sqrt(3) Simplify 0 + (sqrt(5) - (2 + sqrt(5)*-1 - sqrt(5))). -2 + 3*sqrt(5) Simplify -3*(sqrt(405) + (sqrt(405) - (-1 + sqrt(405))) + 0). -27*sqrt(5) - 3 Simplify (-2*sqrt(3)*1*-2)**2. 48 Simplify (sqrt(605) + 0)**2 - (sqrt(180)*2)**2. -115 Simplify -3*(-2 + 1*sqrt(637) + 1)**2. -1914 + 42*sqrt(13) Simplify (((-2 + sqrt(300) - sqrt(300))*2 - sqrt(300))*-2)**2. 320*sqrt(3) + 1264 Simplify (sqrt(9) - 1*2*sqrt(9))/sqrt(3). -sqrt(3) Simplify ((sqrt(65) + (sqrt(65) - sqrt(65)*2) + sqrt(65) + sqrt(65))/sqrt(5) + 1)**2 + (sqrt(156)/sqrt(192) + (sqrt(13) + 0)*-5)**2. 4*sqrt(13) + 5541/16 Simplify (3 + (sqrt(68)*-1 - sqrt(17)*-1*-4))**2. -36*sqrt(17) + 621 Simplify (sqrt(272) + sqrt(17))**2 + 0 + (3*sqrt(2057))**2. 18938 Simplify (-1*sqrt(1512))/((sqrt(144)/sqrt(4))/sqrt(6)). -6*sqrt(7) Simplify ((sqrt(99) + -1 + sqrt(99))*-2*2*6)**2. -6912*sqrt(11) + 228672 Simplify (sqrt(24)/(sqrt(2)*-2))/sqrt(4). -sqrt(3)/2 Simplify 0 + ((sqrt(171)*1 + sqrt(171))/sqrt(9) + sqrt(19) + sqrt(19)*-2 + 5 + sqrt(19))**2. 20*sqrt(19) + 101 Simplify 6*(2 + sqrt(1900))**2 - sqrt(1900). 230*sqrt(19) + 11424 Simplify sqrt(8) + (sqrt(32)/sqrt(2))/sqrt(2). 4*sqrt(2) Simplify -6*(-5 + (1 + sqrt(1100))**2). -6576 - 120*sqrt(11) Simplify (sqrt(42)/(sqrt(42)/sqrt(28)))**2. 28 Simplify (sqrt(272) + 1)**2*3. 24*sqrt(17) + 819 Simplify (-2*sqrt(2016))/sqrt(7) + (-5*(sqrt(2) + 1 + 0))**2. 26*sqrt(2) + 75 Simplify (-3*sqrt(114)*-4)/sqrt(6). 12*sqrt(19) Simplify ((sqrt(252) - (sqrt(252) + -2)) + sqrt(252) - sqrt(252))**2 - ((0 + sqrt(28))**2 + sqrt(28)). -24 - 2*sqrt(7) Simplify (sqrt(112) - (sqrt(112) + (sqrt(112)*1)**2) - sqrt(112))*2. -224 - 8*sqrt(7) Simplify 4 + ((sqrt(11)*2)**2 + -1)*-3*-6. 778 Simplify sqrt(34)/(sqrt(2) + 1*sqrt(2)) - (sqrt(17) + sqrt(153)*-3). 17*sqrt(17)/2 Simplify (sqrt(128)*-2)/(sqrt(32)/sqrt(128)). -32*sqrt(2) Simplify (-5 + sqrt(7) + sqrt(7)*1 - sqrt(28)/sqrt(100))**2. -18*sqrt(7) + 1192/25 Simplify (2 + sqrt(1377) + 0 + sqrt(1377))**2. 72*sqrt(17) + 5512 Simplify ((sqrt(30)/sqrt(8))/sqrt(5))**2. 3/4 Simplify -4*sqrt(147) + -5. -28*sqrt(3) - 5 Simplify -2*(((sqrt(432) + 0 - sqrt(432))*6 - sqrt(432))**2 - sqrt(432)). -864 + 24*sqrt(3) Simplify (-2*sqrt(78)*1)/(sqrt(6) - (sqrt(486) + sqrt(486)*-2 + sqrt(486))). -2*sqrt(13) Simplify -4*(sqrt(605)*1)**2. -2420 Simplify ((1*sqrt(4))/sqrt(2) - sqrt(8)/(sqrt(16)/sqrt(4)))**2. 0 Simplify 5*(5*(sqrt(117) + 0) + 4). 20 + 75*sqrt(13) Simplify (sqrt(104) - sqrt(104)*2*5)/(-2*sqrt(800) - sqrt(800)). 3*sqrt(13)/10 Simplify (sqrt(2)*2)**2*-5*-4. 160 Simplify (2 + sqrt(19))*-2 + sqrt(19) + (sqrt(19) - (sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(304))*2)))**2. -sqrt(19) + 1535 Simplify (5 + -2*sqrt(425)*6)**2. -600*sqrt(17) + 61225 Simplify (1 + (sqrt(1900) + -2 + sqrt(1900) - sqrt(1900))*6)**2. -1320*sqrt(19) + 68521 Simplify (2*sqrt(315) - sqrt(315))/(sqrt(5) + (sqrt(245)*-1 - sqrt(245))). -3*sqrt(7)/13 Simplify 4 + -2 + (sqrt(567) + sqrt(567)*1)**2 + -2. 2268 Simplify (sqrt(448)*1 + -5)*-4. -32*sqrt(7) + 20 Simplify ((sqrt(147) + -1)*1 + sqrt(147))**2. -28*sqrt(3) + 589 Simplify ((1*sqrt(52))/sqrt(4) - (2 + (sqrt(13) - sqrt(39)/sqrt(3))**2)) + 4. 2 + sqrt(13) Simplify -6*sqrt(39)/sqrt(3) - (sqrt(468) + 5). -12*sqrt(13) - 5 Simplify sqrt(121)/(1*sqrt(44)/sqrt(4)). sqrt(11) Simplify (sqrt(51)*4*4)/sqrt(3). 16*sqrt(17) Simplify (sqrt(99)*2)/sqrt(9) + (sqrt(11) - (sqrt(11) + sqrt(44)/sqrt(36))). 5*sqrt(11)/3 Simplify (sqrt(12) - (sqrt(96)/sqrt(8) + sqrt(12) - sqrt(12)))/sqrt(6) + sqrt(2) + -5 + (sqrt(2) + 0)**2. -3 + sqrt(2) Simplify 4 + sqrt(162) + ((sqrt(162) + 0)*-1)**2 + sqrt(162). 18*sqrt(2) + 166 Simplify (5*(sqrt(99) - (sqrt(99) - -1*sqrt(99))))/(sqrt(324)*1). -5*sqrt(11)/6 Simplify (5 + sqrt(700) + -2)*6. 18 + 60*sqrt(7) Simplify (-6*sqrt(475)*-2 + sqrt(475) - (sqrt(475) - -3*(1 + sqrt(475))))*2. -6 + 90*sqrt(19) Simplify (((1*sqrt(68) + sqrt(68))/sqrt(2))/sqrt(2) + -2)**2. -8*sqrt(17) + 72 Simplify sqrt(99) - (sqrt(99) + sqrt(99)*-3*6) - (-3 + sqrt(99))*1. 3 + 51*sqrt(11) Simplify (sqrt(204) - 1*-2*sqrt(204))/(sqrt(120)/sqrt(90)). 9*sqrt(17) Simplify ((6*(sqrt(65) + sqrt(65)*2))/(sqrt(720)*-2))**2. 117/16 Simplify (sqrt(209) + sqrt(209)*-1*2)/sqrt(11)*6. -6*sqrt(19) Simplify 0 + 1*sqrt(704)*-1. -8*sqrt(11) Simplify (sqrt(40)/(-6*sqrt(8)*1))**2 + ((sqrt(5) + sqrt(10)/sqrt(2))*-5)**2 + (-1 + sqrt(80) - sqrt(80)). 17969/36 Simplify sqrt(19) - ((sqrt(57)/sqrt(3))**2 + 4) - sqrt(38)/sqrt(18). -23 + 2*sqrt(19)/3 Simplify -2*-1*sqrt(3) + 1. 1 + 2*sqrt(3) Simplify -1*sqrt(18)/sqrt(6) + -2 + (2 + sqrt(3))**2. 5 + 3*sqrt(3) Simplify ((sqrt(300)*-2 + sqrt(300))**2*2 + -2)*2. 1196 Simplify -1*sqrt(17) + -1 + -1 + sqrt(34)/sqrt(2). -2 Simplify sqrt(175)*-2 + -5 + -4 + 0 + sqrt(175). -5*sqrt(7) - 9 Simplify -4*(-1 + (sqrt(52)/sqrt(64))**2). 3/4 Simplify 3*(1 + sqrt(1728)) + 4. 7 + 72*sqrt(3) Simplify -4 + (-2*sqrt(170)*-2)/(sqrt(90)*-1 - sqrt(90) - sqrt(90)). -4 - 4*sqrt(17)/9 Simplify 5 + sqrt(720) + (2 + sqrt(720))**2*-5. -3615 - 228*sqrt(5) Simplify (sqrt(91) + 4*(sqrt(91) - (sqrt(91) + sqrt(91)*-2)) - sqrt(91))/(sqrt(77)/sqrt(176)). 32*sqrt(13) Simplify 5 + 0 + 1*sqrt(1300) + 1 + 0 + sqrt(1300). 6 + 20*sqrt(13) Simplify -5*sqrt(2)*-4 - sqrt(2) - -5*sqrt(8). 29*sqrt(2) Simplify sqrt(19) + (sqrt(19) - (-4 + sqrt(684))) + sqrt(171)*5. 4 + 11*sqrt(19) Simplify -2*1*sqrt(1053) + (1 + sqrt(1053))**2 + 3. 1057 Simplify sqrt(25)/(sqrt(45)*6 + sqrt(5)). sqrt(5)/19 Simplify sqrt(14)/(1*sqrt(7))*-5. -5*sqrt(2)
{ "pile_set_name": "DM Mathematics" }
st to 0.1 in -1/4, 1.2, 20, s? -1/4 Let l(g) = g**3 - 2*g**2 - 2*g - 3. Let z be l(3). Let q be 9/27 + (-4)/6. Let n = 51/26 - 89/52. What is the closest to z in q, -0.5, n? n Let q be (-6)/8*2/(-3). Let h = -0.018 + -4.982. Which is the nearest to -1? (a) 7 (b) h (c) q c Let y = 11 - 12. Suppose 4*x + 123 = k - 16, 2*x = 3*k - 77. What is the closest to 0.1 in 3, y, x? y Let m = 66.33 + -0.33. Let g = -87.5 + m. Let v = -21 - g. Which is the nearest to 6? (a) v (b) -5 (c) -3/4 a Let c = -10 - -10.2. Let f = 26.08 - 38.08. What is the nearest to f in 0.07, 5, c? 0.07 Let z = -0.2 + 0.6. Suppose 3513 = 66*i + 3183. Which is the closest to z? (a) -7 (b) -4 (c) i b Let l = 7534 + -22597/3. Which is the nearest to 2? (a) 119/6 (b) l (c) -0.05 b Let x be (-522)/11223 - (-45)/43. Which is the closest to -0.05? (a) -2/5 (b) x (c) -2/13 c Let g = -0.028 - 0.272. Let m = 257 - 257.127. Let w = m - -0.227. What is the nearest to g in w, 0.3, -2/7? -2/7 Let x = -1328 + 1330. Let p = 0.19 + -2.49. Let f = 2.4 + p. Which is the closest to -1/2? (a) f (b) x (c) -9 a Let k be -12 + -1 + (-40992)/(-4480) + 3/(-20). Let j = 3 + -3. Which is the nearest to 2/5? (a) k (b) j (c) 13 (d) -0.3 b Let s be (306/24)/3 - (-20 + 24). Which is the nearest to -92? (a) -2 (b) s (c) -4 c Let y be (-8)/10*(-2)/(-4). Suppose -8*q + 77 = 5. Let x be q/(-72) - 46/16 - -2. Which is the nearest to -1? (a) 0.1 (b) x (c) y b Suppose -55 + 53 = -q. Let h = 6 - 26. Let n = h + 17. Which is the closest to 0.1? (a) 5 (b) q (c) n b Let n = 3310.2 - 3310. What is the closest to n in -3, 4.2, -4? -3 Let r = -0.147 + 0.247. Suppose -8*s = -14*s - 12. Which is the nearest to 0.1? (a) s (b) 0.4 (c) r c Let z = 3.3 + 0.4. Let j = z - 0.9. Let f = -4.8 + j. Which is the nearest to f? (a) 2/15 (b) -0.04 (c) 1/3 b Let w be -1 + (-1 - 14/(-8)). Let g = -11.26 + 13.26. Let c be (200/(-30) - -6)/((-4)/30). What is the closest to w in c, g, 0.4? 0.4 Let j = -0.99 - -0.69. Which is the closest to -0.16? (a) 0.5 (b) j (c) -0.2 (d) 5 c Let r = -60566/287 - 3103/41. Let b = -287 - r. What is the closest to -0.1 in b, 0.01, 4, 1/4? 0.01 Suppose 5*x + 3*x + 8 = 0. Let h be ((-1)/((-1)/(-180)) - 3)*1. Let y = h - -1649/9. Which is the closest to x? (a) 1/4 (b) y (c) 3 b Let g = -4794 + 4789. Let d = 2.98 - 3. Which is the closest to d? (a) g (b) -0.1 (c) 2/9 b Let g = 632 - 632.237. Let a = 3.763 - g. What is the nearest to 1 in a, 0.17, 1/10, 0.06? 0.17 Let l = -1458 - -1459. Which is the nearest to 2.6? (a) l (b) -3/19 (c) 2 c Let v be (-4)/10 - (-95)/175. Let i = 1654/4335 + 16/867. What is the closest to -1.6 in 0.3, v, i? v Suppose 27 = -3*h - 4*u, 31*h - 35*h - 5*u - 35 = 0. What is the nearest to h in 8, -17, 0.2, 0.4? 0.2 Let w = 30278/9 - 3364. Which is the nearest to 1.1? (a) w (b) -0.4 (c) 3 a Suppose 0 = 2*z + 18*z + 13420. Let i = z - -2014/3. Let f = -128 + 1406/11. Which is the closest to 0? (a) i (b) f (c) 5 b Let m = -5644 + 5646. Which is the nearest to -0.1? (a) -3/4 (b) -0.2 (c) m (d) -0.3 b Let r = -579.98 - -585. Let i = 5 - r. Let t = -929.3 - -929. Which is the closest to 2/3? (a) -0.1 (b) t (c) i c Let g = -0.2 + 0.3. Let s = -161 - -173. Suppose 0 = -3*u - 6 + s. Which is the closest to g? (a) 9 (b) u (c) 4 b Let x = 1069 + -1346.1. Let y = x + 275. Which is the nearest to y? (a) 0.4 (b) -4 (c) -5 b Let l = -3154/15 + 1048/5. Let z = 0.01 + -0.41. Which is the nearest to -0.2? (a) z (b) l (c) 0.3 a Suppose -46*u + 41*u - 100 = 0. Let g be 3/((-12)/u) + -3. Which is the nearest to 3/5? (a) g (b) 5/2 (c) -7 a Let f be -3 + 310/73 + -2. Let a = -1/292 - f. What is the closest to 2/3 in -0.4, a, 0.08? a Let i = -4308 - -4308. What is the nearest to 14 in i, -0.5, 2, 0.3? 2 Let r be 348/696 - (-2 - (-33)/14). Suppose o = 5*o + 4. What is the nearest to o in 5, r, 2? r Let c = -3 + 3.2. Let k = c + -0.2. Let f = 12332 - 12335. What is the nearest to k in 2/7, f, -0.5? 2/7 Suppose 250*j = 266*j. What is the nearest to -0.08 in -0.05, j, 0.1? -0.05 Let v = 340.029 + -340. Let f = v + -1.029. Let r be -4*-3*3/(-234). What is the nearest to f in -5, r, 2/3? r Let q = 496/1989 - 6/221. Which is the nearest to -4/7? (a) q (b) 2.1 (c) 0.2 c Let l = 13.2 - 13.5. What is the nearest to -0.1 in -36, -1/4, -0.5, l? -1/4 Let a = -5 - -7. Let r = a - 7. Let b = -39.89 - -39.89. What is the closest to b in 2/17, 2/11, r? 2/17 Let y = -1.942 + -0.058. Let j = 166.9 - 167. Which is the closest to j? (a) 3 (b) -1.7 (c) y b Suppose 4*j + 48 = 7*j. Suppose -j = -5*q - 21. What is the closest to 2 in q, -2, -0.3? -0.3 Suppose -5*q = -11*q - 378. Let f be (3/q - 0) + (-1)/(-3). What is the closest to f in -2, 12, -1/7? -1/7 Let j be (3/(-2))/((-2520)/480)*1. Which is the closest to -1? (a) -7.3 (b) -1/2 (c) j b Let v be ((-6)/(0 - 1))/(-8 - -77). What is the closest to -1/3 in v, -1/8, -0.8, -3? -1/8 Let q be (-20)/336*-10 - 462/1078. What is the nearest to q in -0.1, 1/5, 7/9? 1/5 Let p = 0.95 + -59.95. Let h = p + 40. Let i = 14 + h. Which is the nearest to 1? (a) i (b) 1/3 (c) 1/2 c Let t = 1122/2855 + 4/571. Which is the nearest to -1? (a) t (b) 3/2 (c) 2 (d) -300 a Let n = 70 + -69. Let o(f) = f**3 - 2*f**2 + 2*f + 1. Let k = 28 - 26. Let y be o(k). Which is the closest to y? (a) 0.4 (b) n (c) 2/13 b Let j = -24.6 - -6.6. Let g = -20 - j. Let l = -0.14 + 0.14. What is the closest to l in g, 0.5, 0.4? 0.4 Let k be (-2)/(-8) + 22/(-24). Let y = 56 - 55.8. Let u be (-6)/15*(5/(-18))/(48/(-216)). Which is the nearest to u? (a) k (b) y (c) 0 a Let s = 1847/6 + -307. Let r = 2909 - 20362/7. Let q = 11/12 - 5/12. Which is the nearest to q? (a) s (b) -1 (c) r a Suppose -m + 3*k = -31, 0 = 5*m + 3*k + 156 - 239. Which is the nearest to 0.1? (a) m (b) 2/9 (c) -3 b Let q = 75 + -162. Let n = q + 82. Let f be -1 + 52/8 + n. Which is the nearest to f? (a) -0.2 (b) -0.4 (c) 0.5 c Let l = -2670 + 2669.9. What is the nearest to -3/5 in 0, l, -1/3? -1/3 Let z be (-28)/(-70) - ((-22)/(-30) - 1). Let w be (-179 - -189)*(0 - 2/(-5)). Let q = 0.15 - 7.15. Which is the nearest to z? (a) 1 (b) w (c) q a Let o = 20436/7 + -2919. Which is the nearest to -1/4? (a) o (b) -0.2 (c) -2 (d) -2/9 d Let a be (-78)/130 + 226/(-40) + 12/(-16). What is the closest to 4 in a, 0.02, 1/2? 1/2 Let h be ((-10)/60)/((-2)/(-18)). Let f be (-243)/(-63) + (-1)/(-7). Let o = f + -3. What is the closest to -1 in h, o, 2? h Let d = -1264 + 1994. Let g = -729.8 + d. Which is the closest to -0.07? (a) g (b) -5 (c) -8 a Let i = 8 + -7.7. Let n = -11946 + 11946. What is the closest to 9 in -3, i, n? i Suppose 0*i = -2*i, -4*r = 4*i - 8. Suppose 3 = -r*h - h. Let z be 134/(-26) + ((-35)/1)/(-7). Which is the closest to 4? (a) h (b) z (c) -0.5 b Let b = -104756/13 - -8058. What is the nearest to 0.218 in 2/5, b, -0.4? 2/5 Let n = 4.767 - 4.367. What is the closest to -5 in n, -4/5, -5, 0.5? -5 Let w = -0.8 + 3.8. Let d be 4/(-34) - (-264)/(-4114). Let q = 8.9 + -8.8. Which is the nearest to 3? (a) w (b) q (c) d a Let g = 4690 + -2652. Let z = -2037.97 + g. Let k be 1/3*(-2 - -3). Which is the nearest to 1/3? (a) 6 (b) k (c) z b Let n = -1.8 - -1.69. What is the nearest to n in -1/10, -5, 4? -1/10 Let l = 26.3 + -36.3. Let q = 6 + -6.2. Which is the closest to q? (a) l (b) -0.2 (c) -2 b Let c be ((-5)/(-15))/((-5)/(-15)). Let x be 4 - (84/9 - 4 - c). What is the closest to -0.2 in -2/21, x, 2, 0.7? -2/21 Let f = 0.09 - 5.09. Let v = 6 - 18. Let p be (-4)/6 - v/18. What is the nearest to 0.1 in 3/2, p, f? p Let v be -1 - 3/(-3)*-1. Let f be (-3)/(2*((-22)/(-4) - 4)). What is the closest to -7 in f, -3, v? -3 Let q = -5355 + 5352. Let h = -14.4 - -10.4. What is the closest to -3/5 in 0.2, q, h, -0.5? -0.5 Let p = -42421 + 42426. Let n be (-2)/(-4)*1/2. Which is the closest to -3/8? (a) 2/21 (b) p (c) n (d) 3/4 a Suppose h - 4 = u, -2*u + 2 + 0 = 0. Suppose 0 = h*r + 4*b + 1, -5*b = -2*r - 0*b + 26. What is the closest to r in 3, 0, -2? 3 Let c = -4.635 - -4.635. What is the closest to 0 in -2, c, 18/7, -0.1? c Let o = 58.4 - 58. Let l = 1.1 - -14.9. Let j = -11 + l. Which is the closest to -1? (a) 23 (b) o (c) j b Let z b
{ "pile_set_name": "DM Mathematics" }
-3*q**2 - 57*q - 543. Determine v(-12). -291 Let i(c) = 2*c**3 + 17*c**2 + 19*c + 66. Calculate i(-9). -186 Let d(f) = 2*f**2 + 45*f + 29. Give d(-22). 7 Let f(d) = d**3 - 24*d**2 - 55*d + 89. Give f(26). 11 Let l(q) = -q**3 + 6*q**2 - 33*q - 100. What is l(0)? -100 Let o(k) = k**3 - 2*k**2 + 12*k - 8. Calculate o(5). 127 Let p(v) = 3*v**2 - 469*v + 632. What is p(155)? 12 Let b(f) = f**3 - 5*f**2 - 40*f + 1. Determine b(9). -35 Let x(s) = -277*s + 8036. What is x(29)? 3 Let d(f) = -2*f**2 + 662*f + 9656. Give d(-14). -4 Let b(j) = 6*j**2 - 79*j + 98. What is b(11)? -45 Let w(u) = u**2 + 24*u - 5. Determine w(-26). 47 Let t(v) = -v**2 - 207*v + 24812. Determine t(-292). -8 Let y(v) = v**3 + 4*v**2 - 627*v - 180. Calculate y(-27). -18 Let r(b) = -20*b + 293. Calculate r(17). -47 Let g(f) = -45*f + 1986. Give g(44). 6 Let p(z) = -64*z - 3566. What is p(-56)? 18 Let j(x) = 126*x - 511. Determine j(4). -7 Let c(j) = -39*j - 91. Give c(-4). 65 Let x(v) = 2*v**3 + 88*v**2 - 90*v - 4. What is x(-45)? -4 Let o(j) = -733*j + 1467. Determine o(2). 1 Let l(h) = 3*h**2 - 73*h + 471. Give l(9). 57 Let o(n) = 14*n - 396. What is o(15)? -186 Let l(b) = -4*b**2 - 290*b - 143. Give l(-72). 1 Let t(z) = z**3 - 7*z**2 + 22*z + 3. What is t(4)? 43 Let m(q) = -464*q - 24588. What is m(-53)? 4 Let z(n) = 18*n**3 + 4*n**2 - 6*n + 5. Determine z(0). 5 Let q(d) = 32*d**2 - 353*d + 62. What is q(11)? 51 Let i(y) = y**3 - 7*y**2 - 5501*y + 49360. What is i(9)? 13 Let i(d) = 5*d**2 - 307*d - 630. Determine i(-2). 4 Let h(z) = 4*z**3 + 3*z**2 + z + 15. What is h(-5)? -415 Let c(a) = 2*a**2 - 163*a + 1623. Calculate c(70). 13 Let b(x) = 15*x**2 + 18*x + 17. Determine b(-1). 14 Let s(r) = -r**3 - 17*r**2 + 50*r + 556. Calculate s(-18). -20 Let q(o) = -o**3 - 343*o**2 - 2026*o - 1361. Give q(-337). -13 Let x(s) = -8*s**2 + 15*s - 25. What is x(7)? -312 Let k(i) = 93*i + 13764. Give k(-148). 0 Let m(a) = 7*a**3 + 54*a**2 + 24*a + 308. Give m(-8). -12 Let j(y) = 2*y**2 - 3*y - 140. Give j(9). -5 Let i(u) = 5*u**3 + 16*u**2 - 21*u - 23. What is i(-4)? -3 Let x(y) = -92*y + 599. Determine x(6). 47 Let h(b) = 2*b**3 + 12*b**2 + 86*b + 211. Give h(-3). 7 Let d(u) = -403*u + 414. Calculate d(1). 11 Let q(a) = a**3 + 2*a**2 + 19*a - 170. What is q(0)? -170 Let u(c) = 2*c**3 + 27*c**2 + 43*c + 82. What is u(-12)? -2 Let u(l) = 2*l**3 - 134*l**2 + 1619*l + 681. Determine u(51). 18 Let g(k) = -82*k - 16406. Determine g(-200). -6 Let n(g) = -11*g**2 - 53*g + 9. Calculate n(-5). -1 Let p(b) = b**3 + 5*b**2 - 20*b - 8. What is p(-8)? -40 Let f(t) = 16*t + 94. What is f(-4)? 30 Let z(n) = 504*n - 22665. Calculate z(45). 15 Let d(m) = m**3 - 18*m**2 - 26*m + 47. Determine d(18). -421 Let y(b) = -45*b**2 + 144*b + 2. Calculate y(-2). -466 Let i(k) = 7*k**2 + 308*k + 267. What is i(-43)? -34 Let x(z) = z**2 + 294*z - 3980. What is x(-307)? 11 Let p(x) = x**3 + 8*x**2 + 3*x + 21. Calculate p(-8). -3 Let o(y) = y**2 - 9*y - 17. What is o(-16)? 383 Let u(b) = 24*b**2 - 336*b + 11. Calculate u(14). 11 Let x(n) = n**3 - 8*n**2 - n + 69. Calculate x(8). 61 Let d(b) = -457*b - 336. What is d(1)? -793 Let i(q) = q**3 + 39*q**2 + 277*q + 64. Determine i(-9). 1 Let q(z) = -2*z**3 - 27*z**2 + 3*z - 27. Determine q(-14). 127 Let h(u) = -3*u**2 + 405*u + 3439. Determine h(-8). 7 Let p(i) = -2*i**2 + 10*i + 7. Calculate p(6). -5 Let v(z) = 21*z - 506. Calculate v(21). -65 Let o(x) = 3*x**2 - 63*x - 22. Give o(-8). 674 Let d(g) = -17*g - 779. What is d(-47)? 20 Let x(c) = c**3 + 65*c**2 + 49*c - 900. What is x(-64)? 60 Let k(v) = v**3 + 10*v**2 + 24*v + 29. Determine k(-9). -106 Let h(a) = 2*a**3 + 27*a**2 - 104*a + 31. Give h(3). 16 Let q(d) = d + 60. Give q(16). 76 Let t(d) = d**3 + 21*d**2 + 6*d + 85. Determine t(-21). -41 Let r(n) = 1545*n - 1580. Determine r(1). -35 Let d(g) = -g**3 + 12*g**2 + 21*g - 38. Determine d(6). 304 Let s(w) = -w**2 - 65*w + 2245. Give s(-90). -5 Let p(c) = -c**3 + 21*c**2 - 59*c + 63. What is p(18)? -27 Let f(p) = 240*p - 4299. Calculate f(19). 261 Let t(c) = 657*c**2 + 91*c + 89. Give t(-1). 655 Let h(t) = 48*t - 3985. Give h(83). -1 Let y(x) = 1784*x - 37459. What is y(21)? 5 Let g(f) = -201*f + 1603. What is g(8)? -5 Let j(z) = -215*z + 37195. Determine j(173). 0 Let i(m) = -33*m - 1031. Give i(-25). -206 Let c(b) = b**3 + 14*b**2 + 13*b + 184. Determine c(-14). 2 Let s(n) = -1055*n + 5236. What is s(5)? -39 Let q(g) = -g**3 - 50*g**2 + 8*g + 396. Calculate q(-50). -4 Let h(v) = 5*v**2 - 220*v - 35. Determine h(44). -35 Let h(v) = v**3 + 189*v**2 - 171*v + 3616. Determine h(-190). 6 Let r(a) = -24*a - 300. Give r(-14). 36 Let g(j) = -60*j + 472. Calculate g(8). -8 Let p(a) = -9*a**2 - 2*a + 6. Determine p(3). -81 Let v(m) = 8*m**2 + 114*m + 3. What is v(-14)? -25 Let n(d) = 45*d + 161. Give n(6). 431 Let n(d) = -d**2 + 64*d - 820. Give n(53). -237 Let g(y) = -25*y - 1960. What is g(-61)? -435 Let s(d) = 242*d + 9937. Give s(-41). 15 Let z(i) = i**2 + 65*i - 937. Calculate z(-77). -13 Let n(b) = -30*b**2 - 229*b - 92. What is n(-7)? 41 Let w(g) = -7*g - 80. Give w(29). -283 Let l(d) = 12*d**2 - 19*d + 50. What is l(5)? 255 Let l(f) = -f**2 - 52*f - 520. What is l(-39)? -13 Let i(w) = -46*w - 2044. Give i(-44). -20 Let x(q) = 2*q**2 - 34*q + 176. Calculate x(16). 144 Let b(o) = -o**3 + 8*o**2 - 32*o + 41. Determine b(6). -79 Let a(p) = 92*p + 6052. What is a(-66)? -20 Let l(m) = -m**3 - 15*m**2 + m + 42. Calculate l(-15). 27 Let s(n) = n**2 - 49*n - 167. What is s(52)? -11 Let v(d) = -4*d**3 - 6*d**2 + 14*d + 77. Determine v(-4). 181 Let b(a) = -3*a**2 + 665*a + 13718. Calculate b(-19). 0 Let y(n) = -34*n - 43. Determine y(-2). 25 Let l(o) = -o**2 + 186*o - 4669. Determine l(30). 11 Let l(x) = -27*x**2 + 349*x - 7. Give l(13). -33 Let l(a) = 88*a**3 + 5*a**2 - 36*a + 30. Determine l(1). 87 Let c(h) = -h**2 + 13*h + 248. What is c(-12)? -52 Let b(r) = -2*r**2 - 12*r + 317. Give b(10). -3 Let g(m) = 19*m + 128. What is g(-6)? 14 Let x(d) = -d**2 - 9*d + 331. Determine x(12). 79 Let j(i) = 355*i + 3208. Determine j(-9). 13 Let r(y) = -1538*y + 60. Calculate r(0). 60 Let g(u) = -u**3 + 11*u**2 - 9*u + 220. Calculate g(11). 121 Let u(r) = 5*r**2 - 67*r + 468. Calculate u(6). 246 Let r(d) = -2*d**3 - 68*d**2 - 7*d - 150. Determine r(-34). 88 Let o(x) = x**3 + 3*x**2 - 139*x - 409. Determine o(-3). 8 Let f(y) = 75*y + 4829. Calculate f(-65). -46 Let c(k) = k**3 - 120*k + 15. What is c(-11)? 4 Let g(b) = 2*b**2 - 484*b - 51525. Give g(322). -5 Let h(c) = -7*c - 826. Give h(-118). 0 Let l(z) = z**2 - z - 82. Determine l(5). -62 Let w(n) = -n**2 - 27*n + 18. Determine w(0). 18 Let z(p) = -3*p**2 - 37*p - 76. What is z(-14)? -146 Let c(b) = -102*b - 650. Give c(-6). -38 Let r(f) = 11*f**2 - 1411*f + 1793. Determine r(127). 15 Let s(c) = 2*c**2 - 34*c - 548. Give s(27). -8 Let u(d) = 10*d + 1032. Give u(-104). -8 Let h(q) = 52*q**2 - 39*q + 37. What is h(1)? 50 Let o(w) = -w**3 + 25*w**2 - 19*w - 123. Calculate o(24). -3 Let o(v) = -v**3 + 111*v**2 - 68*v - 4623. Determine o(110). -3 Let x(r) = -r**3 + 6*r**2 - 5*r - 9. Give x(3). 3 Let s(a) = a**2 + 52*a - 1229. What is s(-70)? 31 Let n(q) = -3*q**2 + 767*q - 10168. Calculate n(14). -18 Let a(z) = -4*z**2 + 1613*z - 14574. What is a(394)? 4 Let h(g) = -g**2 + 3*g - 107. What is h(27)? -755 Let k(m) = 19*m - 83. Give k(2). -45 Let y(r) = 241*r - 141. What is y(0)? -141 Let s(q) = 58*q - 3816. What is s(66)? 12 Let u(v) = -21*v**2 + 38*v + 102. Calculate u(-3). -201 Let i(r) = 2*r**2 - 100*r + 694. Give i(42). 22 Let g(h) = 2*h + 587. Determine g(-34). 519 Let w(f) = -f**3 + 10*f**2 + 17*f - 97. Give w(9). 137 Let t(q) = -q**3 - 17*q**2 + 35*q - 82. Give t(-19). -25 Let f(c) = -9*c**2 - 439*c + 104. Calculate f(-49). 6 Let t(c) = -c**3 - 12*c**2 + 28*c - 29. Calculate t(-14). -29 Let t(x) = 3*x**2 - 60*x + 250. Give t(15). 25 Let z(a) = a**2 - 10*a - 320. Give z(24). 16 Let g(p) = p**3 - 6*p**2 - 88*p + 374. What is g(4)? -10 Let y(k) = -2*k**3 + 6*k**2 + k + 15. Determine y(5). -80 Let f(o) = -3*o**2 - 60*o - 20. What is f(-7)? 253 Let w(j) = -81*j + 64. Give w(2). -98 Let k(g) = -16*g**2 + 2*g + 3. Determine k(-1). -15 Let f(q) = 111*q - 3317. What is f(30)? 13 Let h(i) = -11*i - 1484. Determine h(-134). -10 Let o(s) = -2*s**3 +
{ "pile_set_name": "DM Mathematics" }
24/16. Let v = 10 - 5. Which is the second smallest value? (a) v (b) 1 (c) o b Let y(v) = v**2 - 5*v - 1. Let r be y(4). Let n = -15 + 11. Let o be (1/(-5))/(8/10). Which is the second smallest value? (a) o (b) r (c) n c Let b be 7/(-6) + 5 + -4. Let x be 2*3*(-8)/(-12). What is the biggest value in x, b, 2/5? x Let q = 115 + -114.5. Which is the second smallest value? (a) 0.4 (b) -13 (c) q (d) 0.1 d Let j = -0.032 - 38.968. What is the third biggest value in 0, j, -0.2? j Let c be -1 + (3 - 1)*1. Suppose -g + 2*u + 12 = 0, 53 = 3*g + 2*u + 17. Let t be 9/g - c/(-4). What is the third smallest value in -0.1, t, 0.5? t Let m = 136.15 + -141. Let t = 0.15 - m. Which is the second biggest value? (a) t (b) 0.2 (c) 3 c Let r = 15 - 14. Which is the third smallest value? (a) r (b) -0.4 (c) 0.06 a Let j(k) = k**2 - 19*k + 31. Let z be j(17). Which is the smallest value? (a) z (b) 3/8 (c) 2 a Let o be (4/(-30))/(2 - 16/12). What is the second biggest value in -2/31, -2, 3, o? -2/31 Suppose 2*d - j = -1 + 12, 3*d - 2*j - 19 = 0. Which is the smallest value? (a) d (b) 4/5 (c) -1/7 c Let w = -0.4 - 0. Let u = -22 - -23. What is the smallest value in w, u, -0.2? w Let t be (4/10)/(24/20). Let m = 4 + -7. What is the third biggest value in m, -1/6, t? m Suppose -2*i + 13 = 3*w, -w + 3 + 8 = 4*i. Let v = 1.5 - 1.2. What is the second biggest value in -3/5, v, i? v Let h = -57 - -55. Which is the smallest value? (a) 0 (b) h (c) 4/9 (d) -0.5 b Let d = 2.81 - -0.19. What is the third smallest value in d, 1/4, -3, 0.3? 0.3 Let k = 6 + -7. Which is the biggest value? (a) -4 (b) -0.5 (c) k b Let j = -10/63 - -8/21. Let s = -22 - -38. Let d = s + -16.3. What is the third smallest value in 2/3, d, j? 2/3 Let d = -2 - -1.9. Let z = -8 + 7.5. Let s be 5/(-28) - 3/12. Which is the smallest value? (a) z (b) d (c) s a Let j(g) = g**3 + 3*g**2 - 1. Let m be j(-3). Let x be -2*1*1/(-2). Let f be (-4)/78*x*3. Which is the smallest value? (a) f (b) m (c) -2/7 b Let g = 20.929 + -20.5. Let i = g - -0.031. Let j = 0.06 - i. What is the third smallest value in 1, 0.4, j? 1 Let m = 4.07 - 0.07. Let f(i) = 3*i - 9. Let j be f(3). Let y = -13 - -9. What is the second biggest value in m, j, y? j Let f = 8/7 - 1. Let i = 2.06 - 0.06. Let q be 4*1/((-4)/(-3)). What is the second biggest value in f, i, q? i Let z = -21.11 + 0.11. Let n = -20.8 - z. What is the second smallest value in -1/5, n, 0.5? n Let o = -36 - -36. What is the third smallest value in 15, o, 5? 15 Let p(h) = -h**3 - 4*h**2 - 2*h + 4. Let t be p(-3). Suppose u - 4 + t = 0. Which is the third smallest value? (a) u (b) 2 (c) -5 a Let g(q) = q**3 - 5*q**2 + 2*q - 7. Let k be g(5). Let o = k - 2. Let f be (3/6*0)/o. Which is the biggest value? (a) -3 (b) -1 (c) f c Let z = -0.012 + 4.012. What is the third smallest value in z, -2, -3, -4? -2 Let j = -14.5 + 15. Let c = 0 + -2. What is the smallest value in c, j, 4? c Let h = -0.032 + 0.542. Let x = 0.01 - h. Suppose -16 = 2*y - 3*p - 2, 0 = 5*y - p + 9. Which is the second biggest value? (a) y (b) -4 (c) x a Let x = -9 + 9.5. Let p = x - 0.6. Let o = 5 + -8. What is the third smallest value in -1/5, p, o? p Let o = 12.5 - 0.5. Let t = -7 + o. Which is the third biggest value? (a) -3/5 (b) t (c) 4 a Let m = -0.03 - -0.04. Let p = m - -0.09. Let s = -5.7 + 0.7. Which is the third smallest value? (a) p (b) 3 (c) s b Let q be (-2)/(-9) - (-237172172)/(-599997762). Let x = 52/21547 + q. Let d = 2/119 + x. Which is the biggest value? (a) -1/2 (b) d (c) 5 c Let z = -22 + 21.6. Which is the second smallest value? (a) z (b) -4 (c) -5/4 c Suppose 2*k = 5*m - 231 + 855, 0 = -4*m + k - 501. Let s be ((-2)/(-7))/((-9)/m). Let y be (-2)/(-9) + 14/(-144). What is the third biggest value in s, -4, y? -4 Suppose -w - 9 = 2*g, -2*g - 2*w - 15 = w. Which is the smallest value? (a) g (b) -4 (c) -1/4 b Let a(x) = x**3 + 9*x**2 + 7*x - 8. Let z be a(-8). What is the third smallest value in -2/9, 1, z? 1 Let q = -18 + 53/3. Let x = -9.2 + 10. Let r = 0.2 + x. What is the second biggest value in q, r, 3/7? 3/7 Let u be (-6)/(-15)*10/14. What is the second smallest value in u, -0.06, -1? -0.06 Let z = 4898/17 - 288. What is the second smallest value in 0.2, z, 2? 0.2 Let u(r) = r**2 - 7*r + 7. Let a be u(6). Suppose -2*b = -a + 3. What is the second biggest value in b, -5, -0.4? b Let d = 8.6 + -7.6. What is the biggest value in -5/6, 1/9, d? d Let q(n) = n**3 + 2*n**2 - 2*n. Let d be q(-3). What is the second smallest value in 2, d, 2/5? 2/5 Let s be -13*1 - (2 - 3). Let h be (3/s)/(15/(-8)). What is the second biggest value in -2/11, -1/5, h? -2/11 Let v = -0.46 - -0.66. What is the second smallest value in 7, v, 1/6? v Let l = 8 - 8. Let w = l - 1. Suppose -11 = 4*t + d, 5*t + 22 = -2*d - 2*d. Which is the third biggest value? (a) t (b) -4 (c) w b Let i be (-10)/4 - (-4)/1. What is the third biggest value in -2, -1, i? -2 Let a = -95 + 759/8. Let k = -0.05 - 0.25. What is the biggest value in a, k, 0.5? 0.5 Let x = 15 + -26. Let m = x - -10.8. Let u = 0.2 - 0.7. What is the smallest value in m, u, 0? u Let t be 7/(14/(-4)) + 60/35. Which is the fourth biggest value? (a) 0.3 (b) 0.09 (c) t (d) -4 d Let l = 0.4 - 0.14. Let m = 5.46 - l. Let q = -5 + m. Which is the biggest value? (a) q (b) 4 (c) -0.1 b Let b = 67/10 - 13/2. What is the third biggest value in -1, 0.5, b? -1 Let u = -17 - -15. Which is the second biggest value? (a) u (b) -4 (c) -5 b Let k be -2 - (0 - 1/(-1)). Let n = -0.4 - -0.1. Which is the third biggest value? (a) n (b) k (c) 5 b Let m = 91.6 + -92. What is the biggest value in m, 4, 0.1? 4 Let n be (-9)/6*(-4 - -5). What is the second smallest value in n, 1/7, -2? n Let s = -24.1 + 25. Let a = 45.9 - 40. Let v = a - s. What is the second biggest value in -4, v, 0.3? 0.3 Let o = 4 + -2. Which is the biggest value? (a) 1 (b) 0.2 (c) o c Suppose -2 = -x + 3. Suppose 3 = p - y + 5, -x*y = -5. Let g = -4 + -1. Which is the third smallest value? (a) g (b) -0.3 (c) p b Let r be 3/(-9)*6/8. Which is the biggest value? (a) -2/3 (b) 4 (c) r b Let u = 199 - 1789/9. Let s = 2314/7 - 330. Which is the smallest value? (a) -1/3 (b) u (c) s a Let y = 3.3 - 2.3. Let t = 0.3 - -0.2. Which is the third biggest value? (a) y (b) t (c) -4 c Let o be (-4)/(-14) - (-1)/(-28). Let t be (-1)/2*(-388)/18. Let y = 11 - t. Which is the second smallest value? (a) y (b) o (c) 0.1 a Suppose 2*m + 1 = 3*m. Suppose -m + 10 = -3*v. Which is the second biggest value? (a) v (b) 1 (c) 3 b Let o = 3 - 7. What is the third smallest value in 2/47, -0.5, o? 2/47 Let z = 4.7 - 4.5. Which is the smallest value? (a) 2 (b) -0.5 (c) z b Let t be (-4)/(-6) - 2/3. Suppose 5*m + 25 = -t. Let s be (4/5)/((-2)/10). What is the second biggest value in m, s, 0? s Let n = -11.9 + 11. Let v = 1 + n. What is the second smallest value in 2/7, 0, v? v Let g(t) = -t**3 + 9*t**2 - 12*t + 20. Let r be g(6). Let w be ((-12)/(-63))/(2/582). Let p = r - w. What is the third smallest value in 3, p, -5? 3 Let v = -15 - -14. Which is the biggest value? (a) v (b) -0.5 (c) -3 b Let q = 5292669/116 + -45627. Let x = -6/29 + q. Which is the third biggest value? (a) -4 (b) x (c) 5 a Let a = -0.03 - 0.47. Let s = -0.019 - 3.081. Let q = -0.1 - s. What is the third smallest value in -1, q, a? q Let x = -77 + 76.7. What is the third smallest value in 3, x, -1? 3 Let p = 4.8 - 1.3. Let k = 4 - p. What is the second smallest value in k, 3, 1/7? k Let z(r) = 3*r**3 - r**2 + 2*r. Let f be z(-2). Let w be (f/4)/2 + 0. Let i = 0.9 + 0.1. Which is the second smallest value? (a) i (b) w (c) -0.3 c Let f = -8/11 + 21/44. What is the third biggest value in 0.4, -3, f, -2? -2 Let d = -8.6 - -9. Let k = 0.37 - d. Let t = k - -0.03. Which is the third smallest value? (a) -1 (b) t (c) 0.3 c Let t be 1/(((-1)/(-1))/30). Let r be (-9)/t*12/27. Let b be (-4)/(-9) - (-2)/(-3). What is the second biggest value in b, 3/7, r? r Let p be (2/(-5) + (-1)/10)/1. Which is the third smallest value? (a) 5 (b) -0.07 (c) p a Let o = 1 + 2. Which is the second biggest value? (a) 0.2 (b) o (c) -0.4 a Let u = 20 - 20. Let k = -0.3 - 0. Let j = k - u. What is t
{ "pile_set_name": "DM Mathematics" }
c). What is the units digit of (0 - x*-3) + 12/6? 5 Let d = 42 - 61. Let x(h) = -h**3 - 16*h**2 - h - 14. Let w be x(d). Suppose -62 = -10*a + w. What is the hundreds digit of a? 1 Suppose 5*z + 301 + 4924 = -2*l, 1062 = -z + 3*l. Let p = -381 - z. What is the tens digit of p? 6 Suppose 2*a - 4*g - 2741 = 10385, a = -2*g + 6539. What is the tens digit of a? 5 Let t be 12/(-3) + (-4 + 1)*-2. Suppose u - t*z - 927 = -280, 0 = 4*z. What is the hundreds digit of u? 6 Let a(w) = 6 - 3*w - 92*w - 23*w + 7. What is the tens digit of a(-4)? 8 Suppose 9316*n - 9319*n + 12762 = 0. What is the units digit of n? 4 Let a be 2 + (-6 + 3)/3. Let p be ((-20)/35)/((-2)/28). What is the units digit of (-3935)/(-20) + 2/p*a? 7 Let n(d) = -d**3 + 12*d**2 + 14. Suppose 5*k = 2*g + 37 + 48, -1 = k. Let m = -34 - g. What is the tens digit of n(m)? 3 Let y(j) = 2*j**2 - 116*j - 386. What is the tens digit of y(-60)? 7 Let b = 48 + -82. Let a = -34 - b. Suppose a = -5*g + 362 + 268. What is the units digit of g? 6 Suppose -6*i + 49844 = -23730 - 110350. What is the hundreds digit of i? 6 Suppose 2*u = 4*g - 86, -4*u + 4*g + 0*g = 184. Let t be (-2)/5 + (-1932)/(-30) + 10. Let j = t - u. What is the hundreds digit of j? 1 Let x be (1 - 5) + (-1 - (7 - 6)). What is the units digit of 1352*(-3)/x + -1? 5 Suppose -3*o - 4*m = 0, 3 + 8 = o + 5*m. Let d be (o + (5 - 2))/(1 + 0). What is the units digit of 61 + (d + -4 - -3)? 9 Let k = 2377 - -17735. What is the ten thousands digit of k? 2 Let r(o) = 4*o + 9. Let k(d) = -4*d**2 + 5. Let x be k(3). Let w = x - -38. What is the tens digit of r(w)? 3 Let o(k) = 4053*k - 840. What is the ten thousands digit of o(9)? 3 Let l(b) = 7*b + 591. What is the tens digit of l(-45)? 7 Let x(j) = j**2 + 5*j + 7. Let h be x(-4). Let z(c) = c + 1. Let p(r) = -9*r - 14. Let i(o) = h*z(o) + p(o). What is the units digit of i(-17)? 1 Let m be 6/27 - (-723)/27. Let z be 115/7 + (-9)/21. Suppose -19*c = -z*c - m. What is the units digit of c? 9 Suppose -328*f = -327*f - 6. Let a(u) = 40*u - 21. What is the hundreds digit of a(f)? 2 What is the thousands digit of (-1 + 3)*1785/(-175)*415/(-2)? 4 Suppose -49 = 4*h + 43. Let z = -20 - h. Suppose -3*w - z*v + 357 = 0, 3*v + 2*v = 3*w - 381. What is the units digit of w? 2 Let m(l) = 15*l + 22. Let u(r) = 14*r + 23. Let t(h) = 6*m(h) - 7*u(h). What is the units digit of t(-26)? 9 Suppose 4*h - 2 = v - 0*v, -3*h - v = -5. Let j be 0/h*(1/1 - 0). Suppose j*u + 240 = 3*u. What is the units digit of u? 0 Suppose -22 = -4*o + 2*t, -o - 1 - 6 = 2*t. Suppose 0 = -13*h + 11*h - 3*d + 1699, -2550 = -o*h - 3*d. What is the tens digit of h? 5 Suppose -d - 5 = 23*k - 21*k, -5*d - 5 = 5*k. Suppose 3*n - 1629 = x, -2172 = -4*n - 6*x + d*x. What is the units digit of n? 3 Suppose 129*g + 7228 = 142*g. Suppose 5*l - v = g, 5*l - 5*v - 236 - 304 = 0. What is the tens digit of l? 1 Let t = 84 + -78. What is the hundreds digit of (-113)/(5/t*36/(-120))? 4 Let p be 2 - 2 - (4 - 8). Suppose p*n + 6*w = 3*w + 1487, 3*n - 3*w - 1089 = 0. What is the tens digit of n? 6 Suppose 0*g + 56 = g. Suppose 2*p - 3*h = g, 127 = 5*p - 4*h + 3*h. Let v = p - -118. What is the tens digit of v? 4 Suppose 0 = -43*p + 22*p + 69809 + 41512. What is the thousands digit of p? 5 Suppose -3*v = -3*h - 855, 7*v - 7*h + 1140 = 11*v. What is the tens digit of v? 8 Suppose u - 142 + 53 = 0. Let x be ((-1)/(-1))/((-209)/(-22) - 9). Suppose n = -x*o + 145, 0*o = o - 5*n - u. What is the units digit of o? 4 Let c(t) = -3*t + 226. Let a(f) = f - 76. Let x(n) = 8*a(n) + 3*c(n). What is the tens digit of x(15)? 5 What is the units digit of (675/10)/((-395)/40 - -10)? 0 Suppose -6*h = h - 16457. Suppose 0 = 3*q + 332 - h. What is the tens digit of q? 7 Suppose 3*f - 5 - 7 = 0. Let m be 1*f - (-24 + 25). Suppose x = -3*w + 166, -3 = -0*w + m*w. What is the hundreds digit of x? 1 Let z(v) = -176*v + 1386. What is the hundreds digit of z(-41)? 6 Suppose -4*k = -5*y - 5796, -4*k + 9*k - y - 7224 = 0. What is the thousands digit of k? 1 Let j(l) = 7*l - 46. Suppose 2*b + 84 = -2*y + 6*b, -5*y - 270 = 2*b. Let g = 72 + y. What is the tens digit of j(g)? 9 Suppose -m = 5*q - 2291, 3*m + 2*q + 373 = 7246. What is the tens digit of m/4 - (-51)/204? 7 Let g(b) = 31*b - 28. Let y be g(1). Suppose 3627 = 6*l - 2*l + y*u, -l + 894 = 5*u. What is the units digit of l? 9 Suppose 0 - 2 = -3*u + 2*c, -5*u + 3*c + 2 = 0. What is the hundreds digit of 0 + 1336 - (-3 + -3 - u)? 3 Let z(i) = -610*i + 341. What is the hundreds digit of z(-21)? 1 What is the thousands digit of 1 + 4 + (-20559660)/(-1100)*(-5)/(-3)? 1 Let z be (-6)/(-7) - 16/(-14). Suppose -y + 5*n + 256 = -288, 0 = -z*y - 5*n + 1148. What is the hundreds digit of y? 5 Let s(y) = 45*y**2 - 7*y - 1. Let q be (12/(-8))/((-2)/(20/3)). What is the hundreds digit of s(q)? 0 Suppose -3*g + 71859 = 3*y, -981*y = -982*y - 5*g + 23969. What is the ten thousands digit of y? 2 Suppose -3*l - 4*f = -1619, -4*l + 6*l + 3*f - 1080 = 0. What is the units digit of l? 7 Suppose 135*n - 1357901 = 1407132 + 4760947. What is the hundreds digit of n? 7 Let u(x) = 10*x**2 - 3*x + 20. Let j = -128 + 134. What is the hundreds digit of u(j)? 3 Let i(r) = 5*r**2 + r + 10. Let c(o) = 54 + 65 + 5*o**2 - 109. Let u(t) = 6*c(t) - 5*i(t). What is the hundreds digit of u(7)? 2 Suppose 115376 = 3*i + 2*f, 5*f + 153827 = -i + 5*i. What is the thousands digit of i? 8 Let v = 719 + -90. Let u = v - -458. What is the units digit of u? 7 Let l = -81 - -42. Let v(k) = -39*k - 42. Let x be v(-6). Let a = x + l. What is the hundreds digit of a? 1 What is the ten thousands digit of (11145 - 3) + (5 + -2 - -1)? 1 Suppose 4*b - 21 = 11*b. Let t be 0 + -15 - (b - -3 - -4). What is the units digit of (-16 - t)/((-1)/(-1))? 3 Let t be (-4)/(-14) - 665/(-245). What is the tens digit of (t + (-10 - -6))*-51? 5 Let j(f) = -f**3 + 11*f**2 - 8*f. Let l be 1 - 1 - (-7 + -3). Let d be j(l). What is the hundreds digit of 12*1/(d/205)? 1 Let z(o) = 3*o**3 + 6*o**2 - 3*o + 21. Let j be z(5). Suppose 2*b - 4*r - 654 = 0, -2*b + j = -r - 135. What is the tens digit of b? 3 Let g = -117 - -1400. Suppose 3*a - 200 = -o + 223, 2*a = -3*o + g. What is the hundreds digit of o? 4 What is the units digit of 10*7/980 + (-673383)/(-42)? 3 Suppose -4*z = -y + 158 - 5148, 5*y - 30 = 0. What is the tens digit of z? 4 Let w(h) = 228*h - 5614. What is the hundreds digit of w(83)? 3 Let s(i) = i - 1. Let q be s(4). Suppose 27 = q*n - 6. Suppose 0 = -8*d + n*d - 540. What is the units digit of d? 0 Let o = -193 - -165. Let b(s) = -7*s - 172. What is the units digit of b(o)? 4 What is the tens digit of (16571 - -32)*(-13)/(-13)? 0 Let w be 65/130 + 11/2. What is the units digit of 10*(w - (-1080)/25)? 2 Let g = 56 - 59. Let y be ((-1)/g - (-7)/42)*426. Let n = y + -99. What is the hundreds digit of n? 1 Suppose -3*o - 4*x + 2*x + 282 = 0, 2*o - 169 = 5*x. Let h = 248 - o. What is the tens digit of h? 5 Let t(f) = 34*f**3 + 3*f**2 - 14*f - 88. What is the tens digit of t(7)? 2 What is the tens digit of (-5 + 6)*13 + 21178? 9 Suppose 5*d - 36 = 9. Suppose 5*w = -d*w + 4634. What is the units digit of w? 1 Suppose 44*t - 40*t + 20 = 0, -c = t - 37849. What is the tens digit of c? 5 What is the tens digit of ((-218355)/(-7))/3 + 235/1645? 9 What is the hundreds digit of ((-6607134)/(-270) - 19) + ((-13)/15 - -1)? 4 Let k be ((-55)/88 - -1) + 19821/8. Let j(y) = 2*y**2 + 3*y + 1. Let m be j(3). What is the hundreds digit of (k/m)/(-1*(-1)/2)? 1 What is the thousands digit of (-5 + 2950/20)/(4/344)? 2 Let f(i) = 312*i**2 + 75*i - 22. What is the thousands digit of f(6)? 1 What is the units digit of 1 - ((-25256)/231)/(1 + 110/(-111))? 7 Let l = 19114 - 11650. What is the units digit of l? 4 Let v(s) = -3*s - 108. Let g(m) = -3*m - 110. Let h(o) = 4*g(o) - 5*v(o). What is the hundreds digit of h(40)? 2 Suppose 211 - 3597 = -3*z + 2*m, -4*m = 16. Let g = 1872 - z. What is the hundreds digit of g? 7 Let m(y) be the second derivative of -7*y**3/2 + 14*y**2 + 14*y. Let s be m(5). What is the units digit of (s/5)/(2/(-10))? 7 Let s(q) = -663*q**3 - q**2 + 5*q + 5. Let y be s(-1). What is the tens digit of 12 + (-34)/3 - y/(-6)? 1 Suppose -335002 = -25*r - 114952. What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
j*q + 2 = 3*q. Round z to the nearest 10000. 90000 Let j(h) = -2 + 24*h + 46*h - 43*h - 4*h**2. Suppose -3*p + 8*p - 52 = -g, 0 = -5*p + 3*g + 64. Let v be j(p). Round v to the nearest one hundred. -200 Let j = -13 + 151. Let x = 86 - j. Let q be (7200/(-2))/(x/(-40) - 1). What is q rounded to the nearest 10000? -10000 Let c = -517.8999985151 - -517.9. Round c to seven decimal places. 0.0000015 Let p = -108 - -108. Suppose -80*y + 83*y = p. Suppose 3*s - 7*s + 39600 = y. Round s to the nearest one thousand. 10000 Let i be 0/(1/(5/5)). Suppose 3*g = -6, b - 3*g = -i*b + 8. Let w be 3 - b - -3 - 4504. Round w to the nearest 1000. -5000 Let g = 13.84989576 + -13.85. Round g to five decimal places. -0.0001 Let l = -292.18 - 3.82. Let s = 296.000001336 + l. What is s rounded to seven dps? 0.0000013 Let y = 13525 - 13552.926. What is y rounded to one dp? -27.9 Let f = -98230.841913823 + -13.018075177. Let o = -98244 - f. Let g = o + 0.14. Round g to 5 decimal places. -0.00001 Let d = -210.22 - -213. Let a = d - 1.77. Let v = -1.00926 + a. What is v rounded to 4 dps? 0.0007 Let x = 102.905 - -24.97. Let s = 128 - x. Let r = s - 1.025. Round r to the nearest integer. -1 Let o = 22915997390.989998051 - 22915997401. Let h = -10.01 - o. What is h rounded to seven decimal places? 0.0000019 Let s = 11573.3381 + -11574. Round s to two decimal places. -0.66 Let v = 0.2511 - 0.20595. Round v to 2 decimal places. 0.05 Let a be -2*3/(2 - -10)*10. Let b(u) = 1250023*u + 115. Let v be b(a). What is v rounded to the nearest 1000000? -6000000 Suppose 2*w + 52 = 4*l, -4*w - 23 = 2*l - 29. Suppose -1205400000 = -l*k + 25*k. Round k to the nearest one million. -86000000 Let w = -3.206 - -3.93. Let b = -23.166 - -23.18. Let r = w + b. What is r rounded to 1 decimal place? 0.7 Let t = -0.100886 - 411.069114. What is t rounded to zero decimal places? -411 Let b = -1706.702174457510141 - -75451170113.702171647510141. Let t = 75451168767 - b. Let x = t - 360. Round x to seven dps. 0.0000028 Let y = -8.394595 - -8.4. What is y rounded to three decimal places? 0.005 Let r = 670 + -1456. Let f = -786.407 - r. What is f rounded to 2 decimal places? -0.41 Let c = -8635 - -8631.676. Round c to one decimal place. -3.3 Let r = 2312271.0955727 - 2312271. Let q = -0.0955 + r. Round q to six decimal places. 0.000073 Let a = 1417.08 + 104.52. Round a to the nearest one thousand. 2000 Let s = 163.5 - -38.7. Let j = s - 24.2. Let x = j + -177.999921. Round x to five decimal places. 0.00008 Let s = 1100499 + -626199. Round s to the nearest 10000. 470000 Let t = -14 + 11. Let c be 2/18*3 + 1/t. Suppose 0 = -l + 2*o + 2036, -3*o + 4*o + 3 = c. What is l rounded to the nearest one hundred? 2000 Let f = 171 + -13882. Round f to the nearest ten thousand. -10000 Let i = 4.1 - -153. Let q = i - 158.638. Round q to 1 decimal place. -1.5 Let m = 0.0273 - -409.9727. Let r = m + -410.000000472. Round r to seven decimal places. -0.0000005 Let j = 736 + -735.16. Let g = 0.921 - j. What is g rounded to two dps? 0.08 Let f(x) = 5438*x - 25 + 1026*x - 947*x + 1788*x. Let n be f(5). Round n to the nearest 10000. 40000 Let a = -6.1868 + 6.2. Let h = -53.5868 - a. What is h rounded to the nearest ten? -50 Let u = 608 + -608.000013392. Round u to six decimal places. -0.000013 Let r(i) = -31228*i + 54 - 25045*i - 41901*i + 32. Let b be r(-11). What is b rounded to the nearest 100000? 1100000 Let p = -1526.45933 - -1627.4592764. Let i = 163 + -62. Let c = i - p. Round c to six decimal places. 0.000054 Let x = 93653.170298287 - 93703.770298. Let a = 50.6 + x. Round a to seven dps. 0.0000003 Suppose -104 = -25*k - 29. Let h be (600/k)/(4005/(-2000) - -2). Round h to the nearest one hundred thousand. -100000 Let g = -17.4240027 - -142.2241181. Let b = -124.8 + g. Round b to 6 decimal places. 0.000115 Let c = 89582970 + -91239675.06. Let w = c + 1656840.060033. Let m = 135 - w. What is m rounded to five decimal places? -0.00003 Let r = 129072 + -129072.082753. What is r rounded to two decimal places? -0.08 Let c = 91.3 + 4.7. Let n = c - 32. Let k = n + -64.0000098. Round k to 6 dps. -0.00001 Let r = -2787.000010602 - -2787. Round r to 6 decimal places. -0.000011 Let b = 133.76024 - 133.9. Let s = 0.1147 + b. Round s to 3 dps. -0.025 Let u = -169.788 + -0.212. Let w = u + 169.99999528. Round w to seven decimal places. -0.0000047 Let z = 125 + -95.1. Let n = z + -26. Let j = n - 3.899971. Round j to 5 decimal places. 0.00003 Let u = 57.85 + -43.194. Round u to 1 dp. 14.7 Let h = 533.9317 - -0.0683. Let g = h + -533.999923. Round g to four dps. 0.0001 Let s(v) = -86418*v**2 + 15*v - 7. Let p be (4 - 1 - 12)*1/(-3). Let t be 2/((-8)/p*(-1)/(-12)). Let b be s(t). What is b rounded to the nearest 1000000? -7000000 Let h = 0.231 - 0.111. Let f = h + 2.3. Round f to 1 decimal place. 2.4 Let c = -8770.0017393 - -8770. Round c to 3 decimal places. -0.002 Let a = 817 + -945. Let y = a + 128.00081. Round y to three dps. 0.001 Suppose -4*o = h - 14, 0*h = 3*h - 2*o. Suppose -3*n + 6*c - 63 = 4*c, h*n + 5*c + 23 = 0. Let g be n/((-19)/2) + (-2176)/(-2). Round g to the nearest 100. 1100 Let r = 700838 - 435385. Let y(i) = 1293*i**3 + 8*i**2 + 17*i + 57. Let o be y(-5). Let w = r + o. What is w rounded to the nearest 10000? 100000 Let b = -5174689298 - -5174689608.0000361. Let l = b - 310. Round l to 6 decimal places. 0.000036 Let t = 75755.168 + -76320. Let n = t + 561. Let r = -4 - n. What is r rounded to 2 decimal places? -0.17 Let t = -30.770994 + 29.4845. Let q = t + 1.285. Round q to 4 dps. -0.0015 Let d = 1.03157 - 0.38961. What is d rounded to two decimal places? 0.64 Let p = -126128 - -6148. What is p rounded to the nearest ten thousand? -120000 Let y = -18631452 - -18629913.1846. Let s = y - -1539. Round s to 2 decimal places. 0.18 Let j = 55379104 - 85232802. Let h = j + 42533698. What is h rounded to the nearest 100000? 12700000 Let p(f) = 73497*f**2 - 42*f - 82. Let a be p(-2). Round a to the nearest one thousand. 294000 Let m = 8711.1 + -8766.049. Let w = -0.051 + m. Let f = 55.00000133 + w. What is f rounded to 7 decimal places? 0.0000013 Let o = 4687.97 - 4610. Let g = -1.461 - 12.609. Let s = o + g. What is s rounded to the nearest 10? 60 Suppose -32 = -4*u - r, 5*u + 4*r = 15 + 25. Let s be 132/28 + u/28. Suppose 163669 + 1831331 = s*l. What is l rounded to the nearest ten thousand? 400000 Let f = 77 - 75. Let a(z) = 1296*z + 7 + 0 - 1 + f. Let q be a(2). What is q rounded to the nearest 1000? 3000 Let l = -17623.988251 + 17624. Round l to 3 decimal places. 0.012 Let f = 125.02974865 + 2133.97049315. Let z = 2259 - f. Round z to five dps. -0.00024 Let b = 26453 + -26460.0512. Round b to the nearest integer. -7 Let r(m) = -12*m**3 - m**2 + 8*m + 9. Suppose 0 = -0*l - 2*l + 16. Let g be r(l). Let a = g + -25065. What is a rounded to the nearest one thousand? -31000 Let d(q) = -195598*q + 1710. Let k be d(10). Round k to the nearest one hundred thousand. -2000000 Let o = -0.24 - -25.44. Let t = o + 1.8. Let w = 27.28 - t. What is w rounded to 1 dp? 0.3 Let m = -2.83 + -167.17. Let v = 119 + m. Let d = 50.99999948 + v. Round d to seven dps. -0.0000005 Let v = -643.58 - -576. Let o = 19.14 + v. Let g = o - -48. What is g rounded to one decimal place? -0.4 Let n = 10130 + -12497.2. What is n rounded to the nearest one hundred? -2400 Let s = -0.14901 + 2.63691. Let r = s + -0.0829. Round r to one decimal place. 2.4 Let m = 2.011 - -9.912. Round m to 0 dps. 12 Let i = -6315.04 - -6273.1149. Let o = -41.9 - i. Round o to two dps. 0.03 Let q = 1483 + -1482.6. Round q to 1 decimal place. 0.4 Suppose 0 = -4*s - 12, 0 + 9 = 4*t + 5*s. Suppose 2*b + 2*x = 959994, -3*x = t*b - 10*b + 1920009. What is b rounded to the nearest one hundred thousand? 500000 Let w = 116 + -113. Suppose -v + 1034999 = -5*g, 0 = w*g + 2*g - 4*v + 1034996. What is g rounded to the nearest ten thousand? -210000 Let f be 3 - -4 - (0 - 0). Suppose -f*i + 251306320 - 54606320 = 0. What is i rounded to the nearest 1000000? 28000000 Let z = -55 + 54.975. Let s = 0.225 + z. Let l = 2.14 + s. What is l rounded to one decimal place? 2.3 Let m = -3644 - -3678.602. Let u = m + -0.882. Let g = u + -32. Round g to 1 decimal place. 1.7 Let f(r) = -36146*r +
{ "pile_set_name": "DM Mathematics" }
hat is the hundred thousands digit of 1487013? 4 What is the hundred thousands digit of 433164? 4 What is the hundreds digit of 8223988? 9 What is the thousands digit of 749829? 9 What is the units digit of 248593? 3 What is the thousands digit of 1695398? 5 What is the hundred thousands digit of 5015878? 0 What is the hundreds digit of 393301? 3 What is the tens digit of 541191? 9 What is the millions digit of 1318095? 1 What is the tens digit of 123898? 9 What is the tens digit of 23670353? 5 What is the thousands digit of 124759? 4 What is the units digit of 44621? 1 What is the thousands digit of 19322983? 2 What is the millions digit of 3659570? 3 What is the thousands digit of 156200? 6 What is the hundred thousands digit of 7227169? 2 What is the ten thousands digit of 75611? 7 What is the hundreds digit of 2855880? 8 What is the hundreds digit of 20790464? 4 What is the units digit of 493252? 2 What is the thousands digit of 7260646? 0 What is the tens digit of 24126651? 5 What is the tens digit of 447526? 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2 What is the ten millions digit of 11056809? 1 What is the ten thousands digit of 133037? 3 What is the millions digit of 1415783? 1 What is the hundreds digit of 342093? 0 What is the thousands digit of 218439? 8 What is the units digit of 2443668? 8 What is the units digit of 1798067? 7 What is the ten thousands digit of 751476? 5 What is the hundreds digit of 657508? 5 What is the thousands digit of 73195? 3 What is the tens digit of 2581377? 7 What is the hundreds digit of 387479? 4 What is the thousands digit of 928401? 8 What is the tens digit of 575032? 3 What is the hundreds digit of 1855232? 2 What is the units digit of 382677? 7 What is the hundreds digit of 16824965? 9 What is the ten thousands digit of 196577? 9 What is the hundred thousands digit of 28879517? 8 What is the units digit of 6788111? 1 What is the hundred thousands digit of 154400? 1 What is the ten thousands digit of 344210? 4 What is the thousands digit of 235956? 5 What is the tens digit of 8345014? 1 What is the hundred thousands digi
{ "pile_set_name": "DM Mathematics" }
w. 2, 7 List the prime factors of (10/6)/(1/3). 5 Suppose -4*i - 120 - 88 = -4*z, 44 = z - 3*i. Suppose x + 16 = z. List the prime factors of x. 2, 5 Let m = 9 - 2. Let a = m + -1. List the prime factors of a. 2, 3 Let d be (-54)/7 - (-12)/(-42). Let c = 13 + d. What are the prime factors of c? 5 Let z(w) = w**2 - 8*w - 6. Suppose 0 = -4*c + 3*o + 12, -5*c + 5*o = -2*c + 2. Let t be z(c). Let f = 30 + t. List the prime factors of f. 2, 3 Let y = -5 - -9. Suppose 64 = -0*z + y*z. List the prime factors of z. 2 List the prime factors of 0 + 0 - 1 - (-4 + -11). 2, 7 What are the prime factors of 1 + (6/(-9) - 0)*-42? 29 Let h(i) = i**2 + 7*i + 3. Suppose -5*g + 20 = 3*b, b - 4 = -3*g + 2*g. Suppose -4*u - 6 = 2*l, 5*u - g = 6. List the prime factors of h(l). 3 Suppose -5*f = -c + 315, -3*c + f + 0*f + 987 = 0. What are the prime factors of c? 2, 3, 5, 11 Suppose -5*s = -11 - 9. Suppose 0 = 3*l + 3*u - 6, u - 2 = -2*l - 3*u. Suppose -l*t = 6 + 3, s*t = -m - 8. What are the prime factors of m? 2 Suppose -5*h - c = -1589, -3*h + 0*c + c + 947 = 0. List the prime factors of h. 317 Let o(r) = r**3 + 5*r**2 + 3*r - 1. Let g = -14 - -20. Let i be 22/(-6) - g/(-9). List the prime factors of o(i). 2 Let p(j) = -j**2 + 7*j + 5. Let k be p(9). What are the prime factors of (1 - 0) + -3 - k? 11 Suppose 4*v = 7*v - 4*y + 47, 0 = -2*v - y - 35. Let d = 6 - v. List the prime factors of d. 23 Suppose -4*u + 156 = -2*v, 3*u - 3*v - 117 = -6. List the prime factors of u. 41 Let u = -25 - -11. Let s be (-21)/u*(-4)/(-3). Suppose -s*r - 2*r = -32. What are the prime factors of r? 2 Let b = -690 - -285. What are the prime factors of (-2)/(-11) + b/(-11)? 37 Let r = 5 - -1. Suppose -r*i = -3*i - 48. List the prime factors of i. 2 Suppose 10*s - 441 = 649. List the prime factors of s. 109 Suppose -i = 5*a - 74, 4*i = -i - 5. Suppose -2*w + w + a = 0. List the prime factors of w. 3, 5 Let n be (-8)/(-24) - 28/(-6). Suppose n*o - 3 = 4*o. What are the prime factors of o? 3 Suppose j - 2*i + 9 = 2*i, 4*i - 3 = -5*j. Let w = j - -11. List the prime factors of w. 2, 5 Let k(l) = 261*l**2 - 1. Let p be k(-1). Suppose 0 = -0*g + 4*g - p. Suppose -g = -5*j + 25. List the prime factors of j. 2, 3 Let y(x) be the second derivative of -x**6/360 - x**5/40 + x**4/6 - x. Let a(r) be the third derivative of y(r). What are the prime factors of a(-3)? 3 Let q = 41 - -61. List the prime factors of q. 2, 3, 17 Suppose -2*l - 17 + 77 = 0. Let t = l - 16. What are the prime factors of t? 2, 7 Let s(l) = 28*l + 1. Let p be s(3). Suppose 0 = -5*a, 0 = -5*b - 4*a + a + p. What are the prime factors of b? 17 Let k(l) = 3*l - 1. Let c be k(-3). List the prime factors of ((-164)/c)/((-2)/(-5)). 41 Suppose 0 = t + 5, 2*t + 127 = s + 2*s. Suppose 3*k + s = 2*b, 3*b - k + 22 = 91. What are the prime factors of b? 2, 3 Let l(f) = 4 - f**3 - 8*f + 2*f**3 - 6*f**2 + 6. Suppose -t - 3*t = -28. What are the prime factors of l(t)? 3 Let q = 1 + -9. Let j(x) = x**3 + 10*x**2 + 11*x - 3. What are the prime factors of j(q)? 37 Suppose -m - 1 + 3 = 0. Suppose m*q - 3 + 25 = 0. Let x = q + 15. List the prime factors of x. 2 Let b(s) = 15*s**2 - 4*s - 15. List the prime factors of b(-4). 241 Let q(l) be the second derivative of -1/20*l**5 - 7/12*l**4 + 7/6*l**3 + 3/2*l**2 + 0 + l. What are the prime factors of q(-8)? 11 Let x = -16 + 25. What are the prime factors of x? 3 Let a(x) = x**3 + 6*x**2 - 9*x - 2. Let l(f) = 3*f - 7. Let g be l(7). Suppose -4*n + 2*n - p = g, -5*n + 2*p - 35 = 0. List the prime factors of a(n). 2, 3 Let u = 0 + 8. Let n = u + 5. What are the prime factors of n? 13 Suppose -4*d = 4*g + 25 + 7, -5*g - d = 20. Let v(c) = -4*c - 2. List the prime factors of v(g). 2, 5 Suppose b = -5*v + 6, -2*v - 2*b + 20 = -6*b. What are the prime factors of v? 2 Suppose k = 4*g - 25, 4*k = 5*k + 1. Suppose -g + 60 = 3*a. List the prime factors of a. 2, 3 Let o(p) be the third derivative of -p**6/120 - p**5/6 + p**4/3 - p**3/3 - 7*p**2. What are the prime factors of o(-11)? 31 Let y be 3 + (4 - 3) - 28. Let h = y + 28. List the prime factors of h. 2 Suppose -4*y - 133 = -5*p - 5*y, 5*y = p - 11. Let t = -11 + p. List the prime factors of t. 3, 5 Suppose -236 = -8*c + 4*c. List the prime factors of c. 59 Let h(u) = -u**3 - 6*u**2 + 6*u - 8. Let m be h(-7). List the prime factors of 26/(-1 + 3) + m. 2, 3 Let c(t) = t**3 - 6*t**2 - 6*t - 5. Let s be c(7). Suppose -3*u = -5*r - 25, 6*u - s*u = -r + 18. What are the prime factors of u? 5 Suppose -4*d = -5*d + 3. Suppose -z = -d*z + 22. List the prime factors of z. 11 Let i = 107 + -51. What are the prime factors of i/6 - 10/(-15)? 2, 5 Let j(i) = 2*i**2 + 19*i - 9. List the prime factors of j(-13). 2, 41 Let w = 16 + -4. Let q be (-287)/(-14) + (-1)/(-2). Let a = q - w. What are the prime factors of a? 3 List the prime factors of -1 - 0 - (-229 + -2). 2, 5, 23 Suppose 4*s + 8 - 32 = 0. List the prime factors of 93/s + (-2)/4. 3, 5 List the prime factors of (-83)/(-5) + (-3)/5. 2 Let r(l) = l**2 - 11*l + 14. Let w be r(10). Suppose 5*a = 2*a + w*j + 46, 0 = 3*a + 5*j - 64. What are the prime factors of a? 2, 3 What are the prime factors of (1 - 125)*(27 + -28)? 2, 31 Suppose 0 = -2*t - 17*t + 570. List the prime factors of t. 2, 3, 5 Suppose 2 - 5 = -b. Suppose b*k - 3*t = 12, 3*k - 20 - 8 = -t. Suppose -k = 5*g + 2, 0 = 2*m - g - 12. List the prime factors of m. 5 Suppose -448 = -8*y + 680. What are the prime factors of y? 3, 47 Suppose 0 = -0*l - 4*l - 24. Let h = 8 + l. What are the prime factors of h? 2 Let j be 5/(-3)*(-21)/7. Suppose -21 = -4*g - j*a + 39, -4*g + 56 = 4*a. What are the prime factors of (-2 - (-3 - g)) + -3? 2 Let s = 48 - -15. List the prime factors of s. 3, 7 Suppose w - h = 3*w - 6, 18 = 4*w - h. Suppose 0 = -4*g - w*t + 80, -52 = 2*g - 6*g + 3*t. List the prime factors of g. 2 Suppose -3*l + 5*l = 2*a - 52, 74 = 3*a - 2*l. What are the prime factors of a? 2, 11 Suppose 0 = -2*u + 3*t + 67, u + t = -4*u + 125. Let c = u - 15. List the prime factors of c. 11 Suppose 0 = c - 0*c - 54. What are the prime factors of c? 2, 3 Let b be -8 + 2/6*3. Let i = b + 12. Let k = i + 6. What are the prime factors of k? 11 Suppose 0 = 4*z - 2*z - 138. What are the prime factors of z? 3, 23 Suppose 4 - 19 = 3*b. Let l(z) = -2*z**2 - 7*z - 2. Let c be l(b). Let t = 24 + c. What are the prime factors of t? 7 Suppose f - 3*a = 4, 0 = -5*f + 3*a - 7*a + 20. What are the prime factors of f? 2 Suppose -5*j - 114 = -694. List the prime factors of j. 2, 29 Let m(p) be the first derivative of -p**2/2 - 11*p + 2. Let g(d) = -3*d - 33. Let v(n) = -4*g(n) + 11*m(n). What are the prime factors of v(-8)? 3 Let f = -1 + -2. List the prime factors of (-348)/(-15) + f/15. 23 Suppose 0 = f - 0*f - 4. Suppose -4*g + 5*b = -17, -g - b = -2*b - f. What are the prime factors of 3*(-24)/(-27)*g? 2 Suppose 2*y - 2*d - 8 - 2 = 0, -y - 4 = 2*d. Suppose 0 = -p + 2*i + 8, y*i - 7 = -5*p + i. Let o = 9 - p. What are the prime factors of o? 7 Suppose 3*x + 2*b = 155, b - 2 = 2*b. Suppose 0 = 3*m - 4 - x. What are the prime factors of m? 19 Let o be 1/(((-3)/(-12))/1). Let r be (o*2)/(1/(-2)). Let f = r + 26. What are the prime factors of f? 2, 5 Suppose 0*c = -3*c + 21. List the prime factors of c. 7 Let c(r) = 2*r**2 + 7*r + 8. Let b be c(-5). List the prime factors of b - (1/(-1) + 2). 2, 11 Let l(g) = -g**3 - 8*g**2 - 9*g. Let o be (-11)/4*-1*8. Suppose -b = 2*b + 5*j + 31, 2*b = -4*j - o. What are the prime factors of l(b)? 2, 7 Let o be (0 + -1)*(-6 + 0). List the prime factors of (-200)/(-6) + o/9. 2, 17 Let h(o) = o**2 - 12*o - 30. List the prime factors of h(19). 103 Let g(o) = -3*o**2. Let k be g(2). Let a(j) = 7*j**2 + j. Let r be a(-1). List the prime factors of r/(-2) - (0 + k). 3 Let h(c) = c**3 - c**2 - c + 90. Let t be h(0). Suppose 3*d + 0*d = t. List the prime factors of d. 2, 3, 5 Suppose -11*c + 1333 - 112 = 0. What are the prime factors of c? 3, 37 Let j(g) be the first derivative of -3*g**2 - 12*g + 4. What are the prime factors of j(-7)? 2, 3, 5 Let j = -98 + 138. List the prime factors of j. 2, 5 Let p = 24 - -12. What are the prime factors of p? 2, 3 Suppose -2 = 2*s, -2*t = 5*s - 697 + 214. Suppose 3*c - 4*y = 155, 0 = -4*c + y - 5*y + t. What are the
{ "pile_set_name": "DM Mathematics" }
-48 (c) 2 (d) 0.2 b Which is the biggest value? (a) -0.2 (b) -5 (c) 0.2 (d) 9/2 (e) -3 d What is the biggest value in 2/5, 2.2, -11? 2.2 Which is the second smallest value? (a) 2/7 (b) -4/111 (c) 4 a What is the third smallest value in 138, -0.5, 7, 0? 7 What is the smallest value in -88, -2/35, 3? -88 What is the biggest value in 0.4, 0.3, -100/21, -0.3? 0.4 Which is the second biggest value? (a) 11 (b) 4 (c) 2/7 b What is the second smallest value in -2/3, -1/5, -13? -2/3 Which is the third smallest value? (a) -1.6 (b) 3 (c) -0.8 (d) 3/5 d What is the fourth biggest value in -12, -1.9, -3, 2? -12 Which is the third smallest value? (a) 2/7 (b) -5 (c) 1.08 c What is the second smallest value in -0.6, -97, 3, 0? -0.6 Which is the third biggest value? (a) 2/17 (b) -5 (c) 1 (d) 7 a Which is the third biggest value? (a) 0 (b) -15 (c) -3 b What is the second biggest value in 2, 1/3, -4, 3? 2 What is the third smallest value in 12, -4, 3/7, 6? 6 What is the third biggest value in -4, -8/5, 0.2? -4 What is the second smallest value in 1/2, -46, 3/2, 2/5? 2/5 Which is the third biggest value? (a) -0.07 (b) 2/3 (c) 7 a Which is the second smallest value? (a) 0.2 (b) -2/95 (c) -4 (d) -2 d What is the fifth smallest value in 0.5, -5, -3, 1, 15? 15 Which is the second smallest value? (a) 0.04 (b) -1/2 (c) 0.4 a Which is the biggest value? (a) 4 (b) 2/9 (c) -2 (d) 11 d Which is the second smallest value? (a) 5 (b) -1/5 (c) -22 b Which is the third smallest value? (a) -1/2 (b) -2/15 (c) -2/7 (d) -1 c Which is the third biggest value? (a) -0.4 (b) -2 (c) -3 (d) 1.7 b What is the fourth smallest value in 2, 1/2, -3, 3, 0.045? 2 What is the third biggest value in -0.1, 3/4, 11/21, 4? 11/21 Which is the second smallest value? (a) -3 (b) -0.3 (c) -3/2 (d) 45 c Which is the second biggest value? (a) 0 (b) 6/5 (c) -1/18 a Which is the fourth smallest value? (a) -1 (b) 3 (c) -4 (d) 0.8 (e) 0.3 d Which is the biggest value? (a) -1 (b) 163/4 (c) -0.5 (d) 1 b Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 175 (d) 1 c Which is the third smallest value? (a) 11 (b) -2 (c) -1/3 (d) 5 d Which is the second biggest value? (a) 0.27 (b) -4 (c) -0.3 c What is the second smallest value in -0.5, -4, -3/4? -3/4 Which is the third biggest value? (a) -2/27 (b) 1/10 (c) 2/9 (d) 3 b Which is the second smallest value? (a) 1/2 (b) -5 (c) -2 (d) 5 c Which is the second biggest value? (a) -9 (b) 3 (c) -3/8 (d) 1/4 d Which is the third biggest value? (a) 0 (b) 0.1 (c) -7 (d) -7/65 d Which is the smallest value? (a) -17 (b) -2/23 (c) 0 a Which is the biggest value? (a) 0.3 (b) 4/7 (c) 0 (d) -2 b Which is the third biggest value? (a) -110 (b) -2 (c) -0.4 a Which is the smallest value? (a) 12 (b) 4 (c) 3 c What is the third smallest value in 245, 1/4, -0.3? 245 Which is the second biggest value? (a) -6 (b) -31 (c) -2 a Which is the fourth smallest value? (a) 0 (b) 3 (c) -2/25 (d) 7/9 (e) -2/15 d Which is the fourth smallest value? (a) -3 (b) 2/9 (c) -1/9 (d) -742 b What is the third biggest value in -288, 5, 1/2? -288 Which is the biggest value? (a) -1.33 (b) -0.04 (c) 2/5 (d) -2 c Which is the fourth biggest value? (a) 4 (b) 0.2 (c) -0.04 (d) -4 d Which is the third smallest value? (a) 0 (b) -0.3 (c) 5/11 c What is the smallest value in -1, 0.16, -1/4, 4? -1 What is the second biggest value in -0.3, -272.8, -4? -4 Which is the third biggest value? (a) -4 (b) 5 (c) -6 (d) 1.2 a What is the second smallest value in 7127, -4, 0.4? 0.4 What is the fourth smallest value in -0.3, 0.3, 1/8, 0.03? 0.3 What is the second biggest value in 1/44, 5, -2/17? 1/44 What is the fourth biggest value in -3/16, 0.2, -1/3, -6/7? -6/7 What is the second biggest value in -0.3, 1/3, 3, -3? 1/3 Which is the biggest value? (a) -1/5 (b) 0.05 (c) 1.7 c What is the third biggest value in 0.4, 0.13, -6? -6 What is the second biggest value in -289, -0.2, 47? -0.2 Which is the fifth smallest value? (a) 13 (b) 0 (c) -1/8 (d) -3 (e) 0.2 a Which is the biggest value? (a) 1/2 (b) 5 (c) -888 b Which is the third smallest value? (a) -0.2 (b) -3 (c) -2.92 (d) 3 a What is the smallest value in 5, -0.3, 22? -0.3 What is the second biggest value in -3, 0.2, -9, 4/5? 0.2 What is the smallest value in 114, -3, 2, -2/5? -3 Which is the second smallest value? (a) 27 (b) -12 (c) -2/5 c Which is the second smallest value? (a) 62 (b) -3 (c) -4/7 c Which is the fourth smallest value? (a) 5/3 (b) 71.7 (c) -0.1 (d) 0.3 b What is the second smallest value in 0.3, 3, 4/9, 7? 4/9 Which is the second smallest value? (a) 3 (b) 1/75 (c) 2/21 c What is the second biggest value in 1.1, -4, 1, 3? 1.1 Which is the second biggest value? (a) -3 (b) -415 (c) -1/8 a Which is the second smallest value? (a) 3 (b) 1 (c) -29 (d) -4/7 d What is the second smallest value in 0.4, 1/15, -4, 5? 1/15 Which is the second smallest value? (a) 0 (b) 2 (c) -2/2627 (d) 1/2 a Which is the second smallest value? (a) 0.2 (b) -1/3 (c) -0.4 (d) 0.01 b Which is the third smallest value? (a) 3/2 (b) -1011 (c) -0.1 a Which is the fifth biggest value? (a) 0 (b) 0.005 (c) 4 (d) 2/3 (e) -0.1 e What is the second biggest value in 8, -0.3, 103/2? 8 What is the second smallest value in 0.05, -4, -49? -4 Which is the second smallest value? (a) 2/15 (b) 3/4 (c) 106 (d) 6 b What is the third smallest value in 3/4, 26, -24? 26 Which is the third biggest value? (a) -1/5 (b) 0.001 (c) -3 c Which is the second smallest value? (a) -0.2 (b) -1 (c) 1.8 (d) -2/3 (e) -2.6 b What is the biggest value in -2/3, 0.1, -0.02063? 0.1 Which is the second biggest value? (a) 3 (b) -1377/7 (c) -1 c Which is the second smallest value? (a) 35 (b) -3 (c) 9 c What is the fifth smallest value in 8, 4, 3, 85, -0.3? 85 Which is the third biggest value? (a) -5/13 (b) -0.4 (c) 3 (d) 4 a What is the third smallest value in 1/4, 1/9, 5/14, 0.3? 0.3 Which is the second smallest value? (a) 1/2 (b) -0.2 (c) 558 (d) 5 (e) -5 b What is the third smallest value in 0, -0.1, -3876? 0 Which is the second biggest value? (a) 2 (b) 5 (c) -2 (d) -8 a Which is the second smallest value? (a) -1/3 (b) 4/1767 (c) 0 c What is the second smallest value in 1/3, -56.9, 1/17? 1/17 What is the biggest value in 12, -2/5, -51/7? 12 What is the fourth smallest value in 5, -0.059, 0.4, -2, -1/4? 0.4 What is the smallest value in -3, 103, 5? -3 Which is the smallest value? (a) 3/4 (b) 0.4 (c) 0.2 (d) 0.7 (e) 3 c Which is the second smallest value? (a) -19 (b) 2 (c) 3/7 c Which is the smallest value? (a) -0.3 (b) 1 (c) -331 c What is the fourth biggest value in -2/7, -3, 2/7, 2, 939? -2/7 What is the third smallest value in 1/3, -4, 46? 46 Which is the biggest value? (a) -3/43 (b) -2 (c) -1 (d) -0.3 a Which is the fifth biggest value? (a) 1/3 (b) -0.1 (c) -3 (d) 0.739 (e) -2/3 c Which is the fourth smallest value? (a) -0.5 (b) -4 (c) -0.1 (d) 3 d What is the fourth biggest value in 2/3, 2, 1/3, 4, -3? 1/3 Which is the second biggest value? (a) -5 (b) 6/13 (c) 5 b Which is the third biggest value? (a) -2 (b) -2/15 (c) 10 a Which is the fourth smallest value? (a) 5 (b) 2/15 (c) 31 (d) -3/13 c What is the third biggest value in 3, -0.1, 13, 1? 1 What is the fifth smallest value in 0.6, -10/163, -0.1, -1/3, -2? 0.6 Which is the second smallest value? (a) -0.03 (b) 8/9 (c) 6/13 c Which is the smallest value? (a) 1/3 (b) -2 (c) -3 (d) -1/5 c What is the second smallest value in -78, 5, 2? 2 What is the biggest value in 2, -0.1, -1/3, 7/4? 2 Which is the fourth smallest value? (a) -3 (b) 1 (c) -4 (d) 2 d What is the smallest value in 0, -0.204, -2/17? -0.204 What is the third smallest value in 4, 0.079, -40? 4 What is the third smallest value in -0.01, -2, 3/8? 3/8 Which is the biggest value? (a) -14/5 (b) -11/4 (c) 3 c Which is the second biggest value? (a) 18/67 (b) 2/3 (c) -2/7 (d) 2 b Which is the fourth smallest value? (a) -4/7 (b) 2119 (c) 1 (d) -1/4 b Which is the fourth biggest value? (a) 3 (b) -0.39 (c) -54 (d) 0.2 (e) 1/10 b Which is the smallest value?
{ "pile_set_name": "DM Mathematics" }
e. n**(9235/663) Simplify (g/g**0)**(28/5)*g*g*g/(g*g**6)*g*g*g**5 assuming g is positive. g**(43/5) Simplify (v/((v*v/(v/((v/v**(-5))/v))*v)/v)*v/(v/(v*v/(v*v*v**17*v)*v*v*v)*v*v*v))/((v/(v**(2/17)/v))/v*v/(v**2*v)) assuming v is positive. v**(-372/17) Simplify ((u**(-1/11)/u*u**(1/10))/((u/u**2)/u)**(-2/7))**22 assuming u is positive. u**(-1203/35) Simplify (((n/n**(-1)*n)/n)/n**(-1/4)*(n/(n**(-3)/n))/(n*n*n**(-2)))**(-2/19) assuming n is positive. n**(-29/38) Simplify v**(-2)*v**(-2/19)*(v*v/(v*v**(9/2)))/(v*v**7) assuming v is positive. v**(-517/38) Simplify (y**(-13))**21/(y**25/y*((y/y**28)/y)/y) assuming y is positive. y**(-268) Simplify (w/(w**(1/3)*w))**7/(w**(2/3)/w)**(1/3) assuming w is positive. w**(-20/9) Simplify y*y**(-7/8)*y**(-7/5)*y/(y*y/(y/(y**(2/21)/y)))*y**(-1/8) assuming y is positive. y**(-52/105) Simplify (m**26*(m/m**37)/m)/(m**(2/13)*(m*m**25*m)/m) assuming m is positive. m**(-483/13) Simplify (g**(-14)/(g/(g/g**(-9))))**2 assuming g is positive. g**(-10) Simplify (((i**(-1))**(11/7))**42)**(2/7) assuming i is positive. i**(-132/7) Simplify (p**(-6)*p*p/p**(1/2)*p*p**8/p*((p**11*p)/p)/p)**(6/5) assuming p is positive. p**(81/5) Simplify (t*t**(-2))/t*t*t*t**(-6/17)/t*(t**(2/29)*t)/t**(1/6) assuming t is positive. t**(-1333/2958) Simplify u**(7/5)*u/((u*(u*(u**17/u)/u)/u*u)/u*u)*u**9*u**7 assuming u is positive. u**(7/5) Simplify (y**(-1))**(-39)/(y**(-1/3)/y**(1/5)) assuming y is positive. y**(593/15) Simplify (f**4/(f/((f/(f**(-2/11)/f)*f)/f)))/((f/f**(-3/11))/(((f**(-20)/f)/f)/f)) assuming f is positive. f**(-210/11) Simplify (n/n**(-49)*n**(-2/5))**(2/117) assuming n is positive. n**(496/585) Simplify (q**(4/3)/q**(7/2))/(q/((q/(q*(q*q**(1/4))/q*q))/q))**(-6) assuming q is positive. q**(52/3) Simplify ((s*s**25)/(s*s**(-24)))/(s**(-3/13)*s**0*s) assuming s is positive. s**(627/13) Simplify s**(29/2)/s**11*(s**(-13/5))**3 assuming s is positive. s**(-43/10) Simplify (((x**(-2))**(-5/8))**(-11))**(-34) assuming x is positive. x**(935/2) Simplify ((h/(h*h**(-2/9)))/(h**(-1)*h*h)*h**(-3/7)*h**(1/8))**43 assuming h is positive. h**(-23435/504) Simplify ((y*y**2)/y**36)/(y**(1/55)/(y/(y*y*y/y**13*y))) assuming y is positive. y**(-1266/55) Simplify (o**1*(o/o**1)/o*(o**1)**(4/13))**(-38) assuming o is positive. o**(-152/13) Simplify ((w*w**21)/(w/(w/(w**19/w))))**(1/3) assuming w is positive. w**(4/3) Simplify ((((v**6/v)/v)/v*v)/(v*v**(-26)*v))**(-10/17) assuming v is positive. v**(-280/17) Simplify (c*c**5*c*c*c/(c/(c/c**6*c)))/((c/c**(-2/3))/c**9) assuming c is positive. c**(34/3) Simplify ((k**(1/9)/k*k)/(k*k/((k/(k/(k/k**(-5))))/k)*k))/(k**(-28)/k**(-2/29)) assuming k is positive. k**(7841/261) Simplify (p/p**3)**(23/3)*p**(-2/15)/(p**(-6/11)/p) assuming p is positive. p**(-2297/165) Simplify d**(-11/3)*d/(d*d/(d*d/((d*d/d**(-17))/d*d)))*(d*d**(-1))/((d/(d**6/d))/d) assuming d is positive. d**(-50/3) Simplify (f**(-2/15)/f)**(-19/4)/(f**13/f*f/(f*(f/(f**(-1)/f))/f*f)) assuming f is positive. f**(-217/60) Simplify (g**7/g)**(2/11)*g/(g*(g/(g*g*g**(-4/3))*g)/g)*g/g**(2/7) assuming g is positive. g**(340/231) Simplify (d/d**9*d)**(-1/4)*d**(3/5)/(d*d**10) assuming d is positive. d**(-173/20) Simplify l*l**(-9/5)*l*(l**(2/21)*l*l)/l*(((l*((l/(l**(-1/3)*l*l))/l)/l*l)/l)/l)/(l*(l*l**(-8))/l*l) assuming l is positive. l**(162/35) Simplify ((g/(g/(g/(g**(-3/2)/g)))*g)/g**(-36))/(((g**(-4/3)*g*g)/g)/(g**(-2/3)/g)) assuming g is positive. g**(235/6) Simplify (d**1*(d/(d*(d/(d*d**(1/2)))/d*d*d))/d*(d**(1/9)*d)/d*d/(d*(d/(d*d/(d**(-3/2)*d))*d)/d))**48 assuming d is positive. d**(160/3) Simplify (f*f*f/((f/f**(1/53))/f)*(f*f**36)/f)/((f*(f/f**(-26))/f*f)/f*f**(1/73)) assuming f is positive. f**(46448/3869) Simplify (c/(c**(1/3)*c)*c/((c**(-1/3)/c)/c))/(c**(-3/5))**(-3/17) assuming c is positive. c**(246/85) Simplify ((m**(-7/2)*m*m*m)/(m*(m**(7/5)*m)/m))**(-12) assuming m is positive. m**(174/5) Simplify ((g/(g**(2/13)*g)*g/(g/(g*g**(-1/5))))**(1/13))**(-2/45) assuming g is positive. g**(-28/12675) Simplify ((g*g*g**(2/5))/g*((g**9*g)/g)/g)/(g*g*g**(-1/4))**(-45) assuming g is positive. g**(1763/20) Simplify (k**(-4/3)/k)/(k**(3/7)*k)*k**(2/37)*k/k**(-8)*k assuming k is positive. k**(4889/777) Simplify (v*v/v**(-2/7))**(-12/11)*(v**2/v)/(v/(((v**(-12)/v)/v*v)/v)) assuming v is positive. v**(-1270/77) Simplify (m**(-2/5)/m)/m**(3/5)*m**(11/5)/m*m**(-8/7) assuming m is positive. m**(-68/35) Simplify ((s*s/(s*s*s**(-7)*s)*s)/s)**(1/5)*s/s**(-10/7)*(s**(-8/5)/s)/s assuming s is positive. s**(1/35) Simplify (o/(o*o*o/o**(-4)))**(-5/7)*o**14*o**(-26/5)*o assuming o is positive. o**(493/35) Simplify (g**(-2/13)/g)/g**(-17)*g**(-17/4)*(g*g/g**(-2/21))/g assuming g is positive. g**(13859/1092) Simplify (((k*k**(-8/3))/k**(-2/13))**(7/4))**(-4/3) assuming k is positive. k**(413/117) Simplify j**(-4/3)*j*j**(-11)/j*(j*j*j/(j*j**(2/7)))**50 assuming j is positive. j**(1541/21) Simplify ((o*o**9*o)/o*o/(o**(1/24)/o))/(o**(5/6))**1 assuming o is positive. o**(89/8) Simplify (c**(-26)/(c**(13/5)/c))/((c*c/c**(-7/2))/c**(-1/4)) assuming c is positive. c**(-667/20) Simplify (i**(3/10)*i**10)**16 assuming i is positive. i**(824/5) Simplify ((s*(s*s**(2/7))/s*s)**(1/28)*(s**0)**11)**(2/11) assuming s is positive. s**(8/539) Simplify (y**(-2/17))**(-2/25)/(y**(-34)/y*y*y*y/((y*y/((y*y**(-7/6)*y*y)/y*y))/y*y)) assuming y is positive. y**(82049/2550) Simplify ((h*h**(-1/6))/h*h*h*h**2)/(((h*h*((h*h*h**(-20)*h)/h)/h)/h)/h**(-1/3)) assuming h is positive. h**(43/2) Simplify ((v*v**(-1/5))/v)/(v/v**(-2/7))*v/(v*v*(v*(((v**1*v)/v*v)/v)/v)/v*v)*(v**(-1/28)/v)/v assuming v is positive. v**(-773/140) Simplify ((j/j**(-2/17))/j*j*j**(2/31)/j)/(j**0/(j**10/j)) assuming j is positive. j**(4839/527) Simplify (h**25*h*h)/h**8*(h*(h/((h**(-2/47)/h*h)/h))/h*h)/h**16 assuming h is positive. h**(284/47) Simplify m/(m**(-3)*m)*m**(-5)*(m/(m**(1/4)/m)*m*m)/(m/((m/m**(-4))/m)) assuming m is positive. m**(19/4) Simplify (m**(-3/4))**(4/25)*m/m**(-11)*m*m**(-3/2)/m assuming m is positive. m**(519/50) Simplify (i/((i**3/i)/i)*i**(-2)*i*(i**(2/9))**(-25))**(-4) assuming i is positive. i**(236/9) Simplify u*u*u**(11/6)/u*u*u*u*u/(u*u*u**17)*u*(u**(1/35)/u)/((u*u**5)/u) assuming u is positive. u**(-3599/210) Simplify (j*j**(-3))/(j/j**(-2/3))*j**6/(j*j/(j/j**(-14))*j) assuming j is positive. j**(43/3) Simplify (r**(-2/5))**(18/11)/(r**(12/11)*r*(r*r*r/r**(-2/31)*r)/r) assuming r is positive. r**(-9906/1705) Simplify ((m*m*(m/m**(3/4))/m)/m**(-11))/(m**(-12/5)/m**(3/4)) assuming m is positive. m**(77/5) Simplify ((t/(t*t**(-8)))/t)**3/(t**(-1/11)/t**(-15)) assuming t is positive. t**(67/11) Simplify ((r*r*r*r**(-34))/r)/r*r**(-2/19)*r/(r/r**(-2/5))*r/(r*((r/(r/(r/(r*r/((r*r**28)/r)))*r)*r)/r)/r) assuming r is positive. r**(-5558/95) Simplify (c/(c/((c*c*c**(-4)*c*c*c)/c)))**(1/13)*(c/(c**(-2)*c))**(-4/13) assuming c is positive. c**(-8/13) Simplify (n*n*n**(2/17)/n*n*n*(n/n**(1/3))/n*n*n*n*n*(n**(2/3)/n*n)**28)**(-2/3) assuming n is positive. n**(-2596/153) Simplify ((m/(m/((m/((m/m**(-1/9))/m))/m)))/m**4)/(m*m/(m/(m/(m/m**2)))*m*m*m/(m/(m*m*m*m/(m/(m*m*m/(m/(m/(m*m*m**(3/4))))))*m*m)*m)) assuming m is positive. m**(-481/36) Simplify (((d/d**(5/4))/(d**(1/2)*d))/(d**(-2/9)*d**(-2/11)))**(-42) assuming d is positive. d**(3731/66) Simplify (x*x**(-2/55)*x*x*(x**34*x)/x)/(x*x**31*x*x**(-18)) assuming x is positive. x**(1208/55) Simplify (k**16)**(-46)*(k*k**(-4/7))**(-3/10) assuming k is positive. k**(-51529/70) Simplify (w**1*w)**(-3/7)*w**18/w**(1/20) assuming w is positive. w**(2393/140) Simplify (f/f**(-3)*f)**(2/15)*(f*f*f/f**(-2))**(-2/79) assuming f is positive. f**(128/237) Simplify (h**7)**(-28)*h/(h/(h*h/h**(3/10)*h))*(h/h**(-4/15))/h assuming h is positive. h**(-5791/30) Simplify (h*h**9*h/(h*h**8))/((h/h**22*h)/h**17) assuming h is positive. h**39 Simplify (v/(v*v*v**(-6)))/(v*v**(-4)/v)*(v/v**9)/(v**1*v) assuming v is positive. 1/v Simplify (y**(-2/9))**33*(y/(y**9*y))/(y**22*y) assuming y is positive. y**(-118/3) Simplify (t/(t*t**(-6)))**(1/18)*(t**(1/12)/t*t)**(-40) assuming t is positive. t**(-3) Simplify ((i*i/((i/(i/i**5*i))/i)*i)/i)**(-23)*(i*i*i**(-9/5))**(-21) assuming i is positive. i**(94/5) Simplify ((b/b**(-2/9)*b)/b)**(-2/7)*b*b*b*(b/((b**(-1/3)*b)
{ "pile_set_name": "DM Mathematics" }
. Find the third derivative of n(f) wrt f. -720*f**3 Find the third derivative of 10*z**2 - 3*z**4 - 5*z**2 + 5*z**4 + 5*z**2 wrt z. 48*z Let l(s) = s**4 - 6*s**3 + 12*s**2 + 6*s. Let r(z) = 2*z**4 - 7*z**3 + 13*z**2 + 7*z. Let h(y) = -7*l(y) + 6*r(y). Find the third derivative of h(o) wrt o. 120*o Let b(q) = -2*q**2 - 2*q + 3. Let t(w) = -7*w**3 + 10 + 6*w**3 - 11*w + 4*w - 7*w**2 - 2. Let a(j) = 7*b(j) - 2*t(j). Find the first derivative of a(o) wrt o. 6*o**2 Let z(t) be the second derivative of 0*t**2 + 0 - 4*t + 0*t**3 - 1/4*t**5 + 1/4*t**4. What is the third derivative of z(g) wrt g? -30 Differentiate 247*k**2 - 247*k**2 + 5 - 5*k**3 with respect to k. -15*k**2 Let r(c) be the second derivative of c**9/3024 - c**6/90 - c**3/3 + 3*c. Let n(y) be the second derivative of r(y). What is the third derivative of n(u) wrt u? 60*u**2 Let c(w) = -20*w**3 + 16*w**2 - 12. Let z(p) = -p**3 + p**2 - 1. Suppose -2*a - 80 = 3*a. Let r(v) = a*z(v) + c(v). What is the first derivative of r(y) wrt y? -12*y**2 Let n be 66/54 + (-4)/18. Let d(r) = -4*r**5 - 5*r**4 - r**2. Let y(i) = -i**5 - i**4. Let x(o) = n*d(o) - 5*y(o). What is the third derivative of x(s) wrt s? 60*s**2 Let g be -1 - (-5)/(5/4). Let n(t) = t + 8. Let v be n(-6). Find the third derivative of i**v - g*i**3 + 7*i**3 - i**3 + 2*i**2 wrt i. 18 Let s(b) = 2*b + b**2 - 5*b + 2 - 4*b. Let a be s(7). Find the third derivative of -2*q**a - q**2 - 3*q**3 + 5*q**3 wrt q. 12 Let g(x) = -4*x**4 - 3*x**3 - 10*x**2 - 3. Let i(b) = 5*b**4 + 4*b**3 + 10*b**2 + 4. Let j(p) = -4*g(p) - 3*i(p). Find the third derivative of j(h) wrt h. 24*h Let m(v) = -v. Let g(u) = -11*u + 1. Let p(c) = -g(c) + 2*m(c). Differentiate p(d) with respect to d. 9 Let d(t) = -t**2 + 8*t + 11. Let c be d(9). Find the third derivative of -3*x**2 - x**4 - x**c - 2*x**4 wrt x. -72*x Suppose l - 5*o = -2*o + 16, 0 = -4*l - 5*o - 4. Suppose -l*f + 12 = -f. What is the first derivative of -2 - 4*s**4 + f*s**4 + 3 - 3*s**4 wrt s? -12*s**3 Suppose x - 4*w = 29, 4*x + 3*w = w + 26. What is the first derivative of 7 + 1 - x + 5*j**2 wrt j? 10*j Suppose -2*d + 8 = 4. Suppose 2*h - 9 = -m, 21 = d*h + 2*m + 3*m. Find the third derivative of j**2 + 3*j**2 - 2*j**2 + j**h wrt j. 6 Suppose 4*x + 28 = 4*n, -4*n + 5*x = 4 - 35. Suppose 2*z = 2*g, 2*g - 12 = g - 5*z. Find the second derivative of -n*m**2 - 2*m - m**3 + 4*m**g wrt m. -6*m Let u = -5 - -9. Differentiate -2 + 3 - 2 + 2*t + u wrt t. 2 Let u(c) = -5*c - 1. Let j be u(-1). Find the second derivative of 2*k + 8*k**4 - 3*k**j + 3*k + k wrt k. 60*k**2 Suppose -3*u = -0*n - 4*n - 16, -4 = -3*u + n. Suppose -5*q + u*q = 5*o + 5, 5*q + 15 = 0. Find the third derivative of -c**2 + o*c**4 + c**2 - 2*c**2 wrt c. 48*c Let j(k) = -33*k**4 - 14*k**2 - 11*k - 11. Let t(b) = 17*b**4 + 7*b**2 + 6*b + 6. Let i(a) = -6*j(a) - 11*t(a). Find the third derivative of i(s) wrt s. 264*s Differentiate 0 + 4 + 18*i + 7 wrt i. 18 Let p be (-2)/((-5)/(-2) + -2). Let h(n) = n**3 + 5*n**2 + 3*n - 4. Let a be h(p). What is the first derivative of a*s - 3 + 2 + s wrt s? 1 Let p(u) be the first derivative of -u**4/2 + 7*u + 8. Find the first derivative of p(a) wrt a. -6*a**2 Let u(r) be the second derivative of -9*r**5/4 - r**4/6 - 7*r**2/2 + 6*r - 5. What is the third derivative of u(n) wrt n? -270 Let q(l) = l**2 + l - 1. Let h be q(1). Let u be (h/2)/(1/4). Find the first derivative of -y**2 - y**2 + 2 + y**2 + 2*y**u wrt y. 2*y Let d(w) be the second derivative of 31*w**7/21 + w**4/12 - 2*w**2 + 19*w. What is the third derivative of d(t) wrt t? 3720*t**2 Let h(l) be the first derivative of -l**4/6 + 4*l**2 + 6*l - 8. Let x(v) be the first derivative of h(v). What is the first derivative of x(b) wrt b? -4*b Suppose 3*g + 8 = 4*g. Find the second derivative of 2*n**3 + n + g*n**3 - 7*n**3 wrt n. 18*n Let v(i) be the first derivative of 0*i**3 - 2 - 3/2*i**2 + 1/2*i**4 + 0*i. What is the second derivative of v(o) wrt o? 12*o Let h be (-2)/(-3) - (-64)/12. What is the third derivative of -5*f**6 + 0*f**6 - 2*f**2 - f**h + 5*f**6 wrt f? -120*f**3 Let j(t) = -t**3 + 3*t**2 + 2. Let d(p) be the third derivative of -p**6/60 + p**5/30 + p**3/2 + 7*p**2. Let h(l) = 3*d(l) - 2*j(l). Differentiate h(g) wrt g. -12*g**2 Let b(v) = 5*v**4 + 6*v**3 + 6*v**2 - 4*v. Let w(k) = -4*k**4 - 7*k**3 - 7*k**2 + 3*k. Let j(h) = -7*b(h) - 6*w(h). What is the second derivative of j(c) wrt c? -132*c**2 Let w(a) be the second derivative of 2*a**6/5 - 11*a**3/6 - 12*a. What is the second derivative of w(h) wrt h? 144*h**2 Let i(m) be the first derivative of -20*m**3/3 - 3*m**2/2 - 8. What is the second derivative of i(c) wrt c? -40 Let s(y) = y**3 - 4*y**2 + 5*y - 3. Let v be s(3). Find the second derivative of -w**3 + 0*w - w + 0*w**v - 3*w**3 wrt w. -24*w Let p(a) be the first derivative of 3 + 0*a**3 - 3*a + 3/4*a**4 + 0*a**2. Find the first derivative of p(g) wrt g. 9*g**2 Let x(i) be the second derivative of 0*i**3 + 0*i**6 - 3/4*i**4 + 0*i**2 + 0*i**7 + 0*i**5 - 1/56*i**8 + 0 + 4*i. Find the third derivative of x(r) wrt r. -120*r**3 Let o(q) = -4*q - 1. Let h be o(-1). Find the second derivative of 0*r**2 - 2*r**2 - r + 2*r**2 + 2*r**h wrt r. 12*r Let i(q) be the third derivative of q**6/120 - 17*q**5/60 + 17*q**2. Find the third derivative of i(m) wrt m. 6 Let j(g) be the third derivative of g**7/35 + 7*g**3/6 - 7*g**2. What is the derivative of j(z) wrt z? 24*z**3 Let a(y) = -4*y + 4. Let g(i) = -17*i + 17. Let o(n) = 26*a(n) - 6*g(n). Let j(q) = 3*q + 0*q - 4*q. Let s(z) = -4*j(z) + o(z). Differentiate s(d) wrt d. 2 Suppose m = 4 - 2. Find the third derivative of -3 - 2*f**5 + 2*f**2 + 3 - 5*f**m wrt f. -120*f**2 Let n(b) = -12*b**3 - 10*b**2 + 3. Let o(k) = -25*k**3 - 19*k**2 + 5. Let r(z) = 5*n(z) - 3*o(z). What is the third derivative of r(m) wrt m? 90 What is the first derivative of -376*o + 0 + 380*o - 8 wrt o? 4 What is the second derivative of 3608*m + 15*m**2 - 3548*m + 23*m**2 wrt m? 76 Let f(g) be the second derivative of g**6/120 - 7*g**4/24 - g**3 + 4*g. Let z(x) be the second derivative of f(x). What is the derivative of z(o) wrt o? 6*o Let r(j) = -j**3 + j - 1. Let y(k) = 9 - 3*k - 1 - 2*k**3 - 7. Let u(w) = -3*r(w) - y(w). Find the first derivative of u(d) wrt d. 15*d**2 Let n be -1 - -1 - (-2 + 9). Let x(f) = 7*f**3 + 6*f. Let m(u) = -15*u**3 - 13*u. Let z(r) = n*x(r) - 3*m(r). What is the second derivative of z(i) wrt i? -24*i Let x be (-5)/(-10)*0/(-2). Suppose -j - 3*q = 7, 4*j - 2*q - 2*q - 20 = x. Find the second derivative of -2*d - j*d**2 + d + 2*d**2 + 3*d**3 wrt d. 18*d Let g(d) = d**3 - 3*d**2 - 3. Let w(v) = -v**3 + 2*v**2 + 3. Let r = -1 - -4. Let f(p) = r*w(p) + 2*g(p). Find the first derivative of f(m) wrt m. -3*m**2 Differentiate 6*y**4 - 5*y**4 - 5 - 5*y**4 + 12 with respect to y. -16*y**3 Suppose -j - 5*m - 14 = 0, -2*m - 29 = -2*j - 9. What is the third derivative of -4*f**j + 3*f**6 + 5*f**2 + 0*f**6 wrt f? -120*f**3 Find the second derivative of 50*x - 6*x**4 - 23*x - 24*x - 4 - 2*x**3 wrt x. -72*x**2 - 12*x Let k(p) be the first derivative of 7*p**3/3 - 2*p**2 - 6. What is the second derivative of k(n) wrt n? 14 Suppose -4*m + 2*g + 6 = 0, 4*m = -0*m + 5*g + 3. What is the third derivative of 8*r**2 - 5*r**5 - 16*r**2 + 11*r**m wrt r? -300*r**2 Suppose -12 = -2*s - 2*s. Find the second derivative of 4*c + 2*c**5 - s - c + 3 wrt c. 40*c**3 Let p(m) be the second derivative of 0*m**5 + 0*m**2 - 5*m + 0*m**3 + 0 + 0*m**6 + 2/3*m**4 - 5/42*m**7. What is the third derivative of p(q) wrt q? -300*q**2 Let w(h) be the third derivative of h**7/280 - 5*h**4/24 - 7*h**3/6 + 8*h**2. Let v(r) be the first derivative of w(r). What is the derivative of v(z) wrt z? 9*z**2 Let q(i) = 4*i**2 - i**3 + 0*i**2 + 0*i**2 + 1 + 0*i**2. Let d be q(4). Find the first derivative of d + 1 - 4*b**4 - b**4 + 3*b**4 wrt b. -8*b**3 Let b be 2/3*(7 + -1). What is the second derivative of -b*o**3 + 0*o**3 - 2*o**5 + o + 4*o**3 wrt o? -40*o**3 Let d(w) be the third derivative of w**8/336 + w**7/210 + w**5/30 + 35*w**4/24 - 3*w**2. What is the third derivative of d(b) wrt b? 60*b**2 + 24*b Let b(x) be the second derivative of 11*x**7/21 - 11*x**4/6 - 19*x. Find the third derivative of b(v) wrt v. 1320*v**2 Let o(x) = -x**3 - 1. Let
{ "pile_set_name": "DM Mathematics" }
l - 20644*l = 5 for k. 1 Solve -37 = 2*b - k + 26, 203*b - 404 = 216*b - k for b. -31 Solve 113 = -4*c - 7*a, -584 + 18 = 21*c + 2*a - 77 for c. -23 Solve 0 = p + v - 27, 5*v - 9 = -4*p - 0*p + 97 for p. 29 Solve o - 14 + 13 = 0, -15*f - 7*o - 7 = -11*f - 3*f for f. -14 Solve v - 5*u = 0, 3*u - 3*u + 2*u - 4 = 4*v + 7*u - 4 for v. 0 Solve 0 = -4*x + 16, -2 + 6 = 63*h - 57*h + 4*x for h. -2 Solve -2*g = 4*r - 28, -239 = -31*g + 1709*r - 1706*r for g. 8 Solve 0 = -4*n + 4*j - j, -3*j - 2*j + 111 = -6*n - 4*j + 111 for n. 0 Solve 4*z - 11*v + 142 = -3*z + 10*v - 19*v, -7*v = -z - 27 for z. -20 Solve -8*n - 29 = 5*j - 7*n, -28*j + 125*n - 14 = 120*n for j. -3 Solve -8*v - 2 + 5 = -4*j - 7*v, -51*j = 5*v + 795 - 526 for j. -4 Solve 6463*y = 6466*y - 5*q - 18, 2*q + 42 = -3*y - 3*q for y. -4 Solve 5*r - 1175 = -1125, 99 = -94*b - 5*r - 133 for b. -3 Solve 0*u + 0*d = -u + 2*d - 113, 13*d + 238 = -2*u - 5 for u. -115 Solve 2281 = i + 9*s + 2311, 22 = 3*i - 7*s + 2*s + 4*s for i. 6 Solve 230*f + 224*f + 233*f = 686*f + 34, 2*f - 58 = 2*y for y. 5 Solve 4*t + t + 6*t - 6*t + 5*x - 19 = -55 + 21, 0 = -9*x for t. -3 Solve 3*z + 26 = -4*l + 2*l, -1757*z = -1756*z - 2*l - 18 for z. -2 Solve 5*s + 30 = 4*m + 70, s = -m - 1 for m. -5 Solve 0 = y + 116621*f - 116611*f + 20, 2*y - f = -40 for y. -20 Solve 20 = 3*g - 6*g + 8*g - a, 0 = 5*g - 43*a - 743 - 117 for g. 0 Solve 0 = 2*l + 488*v - 483*v + 11, 0 = -3*l + 2*v + 31 for l. 7 Solve 7*r + 33 = -d + 2*r, 0 = 2*d + 4*r + 3 + 27 for d. -3 Solve -2726*k + 2723*k + 306 = 50*x, 0 = -k - 5*x + 32 for k. 2 Solve 0*q + 5*q + a + 20 = 7*q - a, 3*q + 9*a - 4*a = -26 for q. 3 Solve -6*v - l = 60, 21*v - 3*l - 180 = 20*v for v. 0 Solve h - 238 = -43*q, 9*q - 13*q + 2*h - 3 = -3*h + 4*h for q. 5 Solve -4*g = 586*z - 1240, -6 = 44*z - 47*z for g. 17 Solve -173 = -5*h + 4*s, 144 = -50*h + 54*h - 6*s for h. 33 Solve 9*x + 5 + 31 = 0, 0 = -y + 3*x - 343 + 355 for y. 0 Solve -t + 284 - 327 + 338 = -28*p - 349, -15*t - 69 = -17*t + 3*p for t. 0 Solve -f + 3*l + 8 = 0, 41 - 79 = 20*f - 0*l + 6*l for f. -1 Solve d + 43 = 344194*g - 344195*g, 2*g + 172 = -4*d for d. -43 Solve -99 = 3*t - 5*c, 468414*c - 468413*c + 165 = -5*t for t. -33 Solve -3*z - 5*k = k - 8*k + 21, 45*k = -5*z - 3*k - 189 for z. -9 Solve 2*t + 154 = -3*z, -76 - 164 = 5*z - 7*t + 2*t for z. -50 Solve -4*z + 5*g = 8, z - 5*g - 227 = -244 for z. 3 Solve 43 = 3*r - 260*o + 264*o, -113 = -17*r - 4*o for r. 5 Solve 5*j + 13 = 2*p - 13, -j + 39 = p + 33 for j. -2 Solve -52*z + 2*k + 55 = 44*z - 91*z, 0 = -z - 3*z - 2*k + 26 for z. 9 Solve 4*w - w - d = 166, -2*w + 3*d = 104 - 203 for w. 57 Solve 0 = 2*x + 2*t + 12, -5*x - 70*t = -75*t - 20 for x. -1 Solve -15 = -3*g + 39, 5*w + 9*w = -g - 5 + 3 + 6 for w. -1 Solve 0 = -4*i - r - 17, -i = -26*r - 4845 + 4823 for i. -4 Solve 0*z + 9 = z + 2*r, 2*z + 10 = 11*r - r for z. 5 Solve 648*o + 3*f + 165 = 661*o, -8*o = -2*f - 102 for o. 12 Solve 0 = -5*k + 4*g - 25, -655*g - 5 = k - 657*g for k. -5 Solve -5*c - 127*k + 289 = -116*k, -92 = -23*k for c. 49 Solve -38*w - 52*w + 92*w + 39 = 5*n, -14*w + 2*n = -n - 15 for w. 3 Solve 5*v - 696 + 955 = -162*l, -4*v = -52 for l. -2 Solve -5*p + 8594*h = 8624*h + 85, -2*h + 15 = 2*p - 1 for p. 13 Solve -178*s - g = -349*s + 172*s - 4, 2*s + 4 = 4*g for s. 2 Solve 3*p + 34*j - 15*j + 25 = 0, 241*j - 236*j - 5 = 5*p for p. -2 Solve 3*r - 603 = o + 7*r - 676, 4*r + 73 = o for o. 73 Solve 3*y + 3*w - 33 = 0, 5*y - 179759 + 179754 = 5*w for y. 6 Solve -5*n = 2*l - 57 + 32 + 5, 4*l - 28 = n - 5*n for l. 5 Solve 9*b - 7*b = -5*n - 67, 3*n + 47*b + 49 = 48*b for n. -15 Solve 320*g - 320*g = -5*x + 15, -2*g = 3*g + 9*x - 52 for g. 5 Solve -13493*o + 13492*o - 31 = -2*n, 0 = o - 4*n + 63 for o. 1 Solve -4*w - 3*t + 15 - 69 - 70 = 0, 98 = 5*w - 2185*t + 2183*t for w. 2 Solve 214*n - 5*y + 184 = 217*n + 26, 12*y = -60 for n. 61 Solve 178*j - 175*j - 11*n - 39 = 0, 26 = -2*j - 10*n for j. 2 Solve 2*w + 54 = 3*w - 6516*g + 6515*g, 5*w - 3*g - 240 = 38 for w. 58 Solve 117 = -23*d + 10*j - 12*j - 10*j, -27 = 5*d + 3*j for d. -3 Solve 606 - 648 = -5*u + 3*q, 7*u + 4*q = -15 for u. 3 Solve 88*f + 5*z + 145 + 330 = 0, -28 = -z + 5*z for f. -5 Solve 3*z - 83 = -56*g - z + 68 - 47, g + z = 0 for g. 2 Solve -5*s + 11 = -11*i + 15*i + 13, -s - i = 3*s - 5 for s. 2 Solve 92*h + 103 = -i + 90*h, 3*i - i = 3*h + 165 for i. 3 Solve 6 - 1 = -4*n - g - 0, n - 10*g + 9*g = 0 for n. -1 Solve 563*m + 557*m - 1117*m = 2*r - 30, 5*m + 44 = 3*r for r. 18 Solve 3*k - 387 = -7*w, -119*k + 3*w = 119*k - 240*k - 93 + 256 for k. -4 Solve -3*i + 0*i = b - 18, b + 527 = -8*i + 8*i + 533 for i. 4 Solve 32*r + 3*v + 9 = 5*r + 17*r + 7*r, r + 0*v + 2*v + 10 = 0 for r. 4 Solve 2*o = 3*q + 89, 215*q - 107*q - 112*q + 3*o = 133 for q. -1 Solve -2*p + 8*p = 60, -2*p + 298 = 5*f + 293 for f. -3 Solve b + 51 = 6*n, 174 = 72*n - 78*n - 4*b for n. 1 Solve -u - 2 = d, 3*u - 62 = -4437*d + 4451*d for d. -4 Solve 3*h + 24 = -3*g, 21*g - 46*g - 58 = 5*h - 18*g for h. 1 Solve -206918*p + b - 33 = -206920*p, 2*p = 3*b + 13 for p. 14 Solve -20567*s - 30 = -3*i - 20564*s, -3*i - 3*s = -7*s - 37 for i. 3 Solve 5*m = -5*k - 295, 0 = 422529*k - 422527*k - 2*m + 110 for k. -57 Solve -7*d + 2*d - 2*i = 51, 2*d - 21 = -0*d - 15*i - 20 - 206 for d. -5 Solve 3*v - 7*t + 26 = 0, -4105*v + 3*t - 18 = -4102*v for v. -4 Solve 3*d - 12*t + 16*t = 17, 0 = -2*d - t + 57 - 11 - 33 for d. 7 Solve -q + 5*q = -4*u - 28, q + 6 - 1 = -3*u for u. 1 Solve 21*n + 80 - 52 = 2*b - 85, -27 = 3*n - 3*b for n. -5 Solve -101*s - 3535 = 0, -67*n - 3*s = 67*n - 130*n + 85 for n. 5 Solve -32*v + 10*v - 134 = 2*n, -2*v - 7 = 2*n - 0*v + 7 for n. -1 Solve -5*a - 26*b = -31*b - 5 - 160, 867*a - 869*a - b - 18 = 0 for a. 5 Solve 0 = -4*j + 4*v, -42870*j + 42859*j = -2*v + 36 for j. -4 Solve -t - 29 = 4*a - 3, -20*t + 22 + 19 + 49 - 15 = -5*a for a. -7 Solve -8*h + 11*h + 2*k + 5 = 0, 3*h - 48*k = -5*h - 0*h - 120 for h. -3 Solve 4*l - 8 = 0, 5*d - 4*l - 25 - 26 + 14 - 9 = -2*l for d. 10 Solve 2*t - 46 = 25939*j - 25946*j - t, 5*j - t = 14 for j. 4 Solve 25 = -c + 4*a, 75*a - 72*a - 255 = 27*c for c. -9 Solve -26*z = m - 125, -4*m + 0*z + 4*z + 706 = 365 + 381 for m. -5 Solve 118*d - q + 2123 = 0, 10*d + 3*q + 75 = 6*d for d. -18 Solve 5*j + 11 = d, -2991*d + 2993*d = 3*j + 1 for j. -3 Solve k = -72*d - 1443, 57*d - 65 = 61*d - 5*k for d. -20 Solve 56*h + 44*h - 3*q + 8323 + 1068 = 0, -2*h - 5*q = 203 for h. -94 Solve -5*y + 36 - 97 + 33 = -3*g, 156*y + 3*g = -417 + 123 for y. -2 Solve -1 = x - 1, -286*x - 295*x + 18 = 6*i - 586*x for i. 3 Solve -5*p = 4*o - 448, 6*o - 2*o + 4*p = 232 - 308 + 432 for o. -3 Solve -7*d - 42 = j - 58, -3*d + j - 10 = -14 for d. 2 Solve -896*d = -890*d - 78, -d = 4*l - 6*d + 3*d + 22 for l. 1 Solve 20*x - 4*k + 96 = 0, 237*x - 234*x = -4*k - 19 for x. -5 Solve 2*l - 98 = -10*o, 943*o - 65 = 938*o - 5*l for o. 9 Solve 38*x - 53*x + 6*f - 2*f + 22 = 0, -2*x - 2*x - 5*f = 73 for x. -2 Solve 354*m = r + 736*m - 378*m + 20, -4*r = 2*m + 38 for r. -8 Solve -61*n = -4*q - 66*n + 11, -2*q + 3*n + 13 = -2*n for q. 4 Solve -6*k + 4*s = -k + 193, -23*k - 12*s + 539 = -30*k for k. -5 Solve -2*g + s - 3 + 5 = 9, 530*s - 534*s + 10 = g for g. -2 Solve -4*x = -3*w - 4070 + 4074, -5*w - 3 = 3*x - 4*w for x. -1 Solve 5*g = 21*i + 14 - 192, 7*g + 5*i - 2*i - 10 = 0 for g. -2 Solve -3*s = -c - 70, 3*c = -c + 2*s + 174 - 424 for c. -61 Solve 2*v + 24 = -r, -51*v - 106*r = 1067*v - 105*r + 24 for v. 0 Solve -15*f - 183 = 3*s, 50*f + 5*s = 55*f + 85 for f. -13 Solve -4259*u + 4*z = -4263*u - 4, -4*u = -2*z - 20 for u. 3 Solve -3*h + 107 = 3*y + 5*y, -40*y - 39*y = -80*y + 2*h + 11 for y. 13 Solve -3*n + 16 = 3*f - 11, f + 6*n = -7*f + n + 48 for f. 1 Solve -18 = 3*r, -94854*q + 94853*q + 9*r + 10 = -39 for q. -5 Solve -4*x - x - 45 = 5*q - 55, -3*x - 247*q = x - 1223 for x. -3 Solve -27 = 3*l - 3*r, -3*l + 106*r - 43 = -6*l + 102*r for l. 1 Solve 113*c + 6*k + 24 = 88*c + 3*k, 5*c + k - 2 = 0 for c. -3 Solve 4*j - l = -1446 + 724 + 692, 2*j = -4*l - 24 for j. -8 Solve -5*y = 2*v - 147, -81157*v - 336 = -81162*v + 3*y - 3*y - 2*y for v. 66 Solve -4*s - s + 8 + 11 = -0*s + 3*q, 5*s = 287*q + 599 for s. 5 Solve -21*b + 5*u + 25 = 0, 416*u - 414*u = b + 2*b - 10 for b. 0 So
{ "pile_set_name": "DM Mathematics" }
Let g = 0.01 - -0.39. Which is the closest to 2? (a) -0.1 (b) -0.2 (c) g c Let r be 4/(-20) - 3/10. What is the nearest to -0.1 in r, 3, -1/10? -1/10 Let o(s) = -s**2 + 10*s - 7. Let v be o(9). Suppose -4*d + v*d = 6. Let k be 2/d*(-3)/7. Which is the nearest to -1? (a) 0.5 (b) 0.3 (c) k c Let o = -2544/7 + 364. What is the nearest to 3 in 0.4, -4/3, o? o Let c = -3 - -5. Let v = 0 - 1. Let s = -1.3 - v. What is the nearest to -1 in c, 3, s? s Let q = -12 + 9. What is the nearest to q in 4, -0.2, 5? -0.2 Let b = -0.035 - 4.965. What is the closest to 0.1 in -2/11, b, 8? -2/11 Let c = -2 + 3. Let a be ((-4)/(-10))/(1/(-25)). Let m be (-115)/(-100) + 4/a. What is the nearest to c in -3, m, -1? m Let l = 0.18 + -0.26. Let d = -1.08 - l. Let p = 2 - 1.9. Which is the nearest to 5? (a) d (b) -4/7 (c) p c Let h be 5842/(-21)*(-4)/(-1952). Let x = h - 1/732. What is the nearest to 0 in x, -0.5, 1/3? 1/3 Let t = 3.7 - 7.7. Let l = -17/48 - -3/16. Suppose 6 - 2 = 4*g. Which is the closest to 0.1? (a) g (b) t (c) l c Let q be (4 - (-112)/(-18)) + 2. Let v(o) = o**2 + 2*o - 2. Let j be v(-3). Let d = 0.1 - 0.1. Which is the nearest to j? (a) q (b) d (c) 0.3 c Let s = 13.84 + 0.16. Let d = 13.5 - s. What is the closest to 2/5 in -0.4, 2/11, d? 2/11 Let n be 0 + 2 + 22/(-14). Let c = -132 - -220. Let i = 615/7 - c. What is the nearest to -3/5 in 1, i, n? i Let b(c) = c**2 + c - 8. Let y be b(-6). Let h be 8/16*(-8)/y. What is the nearest to 1 in -1, 0.5, h? 0.5 Let c = -0.01 - 4.99. What is the closest to -0.1 in 0.1, -0.1, c? -0.1 Suppose 5*w = i + 13, -8*w + 7 = -3*w + i. What is the closest to -1/4 in w, -3, 2/13? 2/13 Suppose 2*v = 3*v - 4*r - 17, 2*r + 8 = 0. Let x be (v/8)/(1/4). What is the nearest to x in 5, 4, 2/3? 2/3 Let k = -3 + 2. Let w be (-1)/6 - 368/(-1056). Which is the closest to k? (a) 5 (b) w (c) 2/17 c Let r = 267.4 + -267. Let o be (2/(-4))/((-1)/(-10)). Which is the nearest to 0? (a) r (b) o (c) -1/3 c Let s = 4 - 4.3. Let r = 6 - 4. Let t = -0.53 + 0.13. Which is the closest to r? (a) s (b) -0.1 (c) t b Let g = 1.9 + -2.1. What is the closest to -1 in -5, 2, g? g Let x = 2 - 1.9. Let t(n) = n**2 + 8*n - 5. Let o be t(-8). Let l = 165 + -657/4. Which is the closest to 0? (a) x (b) l (c) o a Let n = -5.9 - -5.7. Let i = 5 - 9. Which is the closest to 1? (a) i (b) n (c) 0.5 c Let w = -0.3 + 0.2. Let t = -0.2 + w. Which is the closest to 1? (a) 0.5 (b) 2/15 (c) t a Let g = -41 - -44. Let l = -8 + 8.3. Which is the closest to -2? (a) 0.5 (b) g (c) l c Suppose -492 = 3*t - 36. Let b = t + 1068/7. Let z = 1.1 - 1.3. What is the nearest to 1 in z, b, -2? b Suppose -2*y - 1 = -5. What is the nearest to 1 in -3, y, -0.2? y Let o = 5 - 5. Let r = o - -1. Which is the closest to r? (a) 0.5 (b) -4 (c) 3 a Let k = 257/3 + -85. Let z = -0.6 + 2.6. Suppose -m - 5*d = -d + 12, -5*m - 3*d = 9. What is the nearest to m in k, z, -6? k Let a be (-4)/(-12) + (-5)/45. Let o = 0.3 - 0.5. What is the closest to o in -0.2, 5, a? -0.2 Let x = 10900/3 + -3684. Let i = x - -50. Let r = 0.3 - 0.5. Which is the nearest to 1? (a) i (b) -1/2 (c) r c Suppose m - 4*m - 180 = 0. Let l be ((-8)/m)/(2/(-6)). What is the closest to l in 5, -3, -1? -1 Let u be -1*1/(28/8 - 2). Let z = 6.3 - 6. Let m(o) = -o**3 + 5*o**2 - o + 4. Let v be m(5). Which is the nearest to v? (a) -5 (b) u (c) z b Let o(x) = -x**2 - 10*x + 1. Let k be o(-10). Let d = -0.3 + 0.34. What is the closest to k in 4, d, -0.5? d Let j = 0 + -0.06. Let b = -0.46 - j. Let c = 0.4 + -0.1. What is the nearest to -1 in b, -3/2, c? -3/2 Suppose 0 = -4*g + 8. Let q be g + 0 - 266/(-8). Let m = q - 35. Which is the nearest to 0.1? (a) 1 (b) -1/3 (c) m c Let d = 25 - 26. Which is the closest to d? (a) -0.4 (b) 0.5 (c) -3/7 c Let q = 913/5 + -182. Which is the nearest to 2? (a) -4 (b) q (c) -1/4 b Let y = 5.3 + -1.3. Which is the closest to -0.1? (a) 12 (b) 0 (c) y b Let f = -29 + 29. Let u = -7 + 5.8. Let v = 6.2 + u. What is the nearest to 1 in f, v, -1/3? f Suppose -8*x - 4 = -12*x. What is the closest to x in 1/6, -3/5, -0.4? 1/6 Let y = 1.1 + -1. Let o = y + 3.9. Let q = o + -4.1. What is the nearest to q in -4, -0.1, -0.2? -0.1 Let r = 83 - 251/3. Let f = -122/5 - -24. Which is the closest to 0.1? (a) r (b) -0.2 (c) f b Let u = 24 - 22. What is the nearest to 2/7 in u, -3, -0.1? -0.1 Let p(s) = -s**2 - s + 1. Let u(o) = 2*o**2 + 2*o - 3. Let v(i) = -5*p(i) - 3*u(i). Let k be v(0). Which is the closest to -0.1? (a) -4 (b) 4/9 (c) k b Let s be 1*-2 + 20/8. Let k = 1987/13 - 153. What is the closest to s in 2/7, 0.1, k? 2/7 Let n(a) be the third derivative of -a**5/60 - 13*a**4/24 - 7*a**3/3 + 4*a**2. Let t be n(-12). What is the nearest to t in 1/4, 1, 2? 1/4 Let f be (-7)/(-28) - (-898)/(-56). Let p = f + 31/2. Which is the nearest to p? (a) 2 (b) -2/11 (c) 0 b Let r = -12 - -11. Let q = r - -0.7. Let g = 0 + -0.3. Which is the closest to g? (a) -0.2 (b) -0.5 (c) q c Let g = -2.31 - -2.41. Let s = 0.5 + -3.5. What is the closest to 1 in 3, g, s? g Suppose t - 8 = 5*j, 5*t = -4*j - 16 - 2. Which is the nearest to j? (a) 5/3 (b) 2/3 (c) -0.5 c Let m be (1/(-4))/((-3)/12). Let s be (13/6)/(-1) - -2. What is the closest to m in -2/15, s, 0.3? 0.3 Let r(j) = -j - 7. Let x be r(-11). Suppose m - 4 = 5*m. Which is the nearest to m? (a) -3 (b) -2/13 (c) x b Let g be ((-10)/6)/(1/(-3)). Suppose 0*y - 5*y + g = 0. Suppose -5*h = 2*c - 16, -h + 2*c - 5 = -1. What is the nearest to y in 2/5, h, 0.3? 2/5 Let h = 24 + -23.973. Let l = h + 3.273. Let f = 3 - l. What is the nearest to 0.1 in f, 5, 0.3? 0.3 Let r = 52.7 - 50. Let p = 0.7 - r. What is the closest to -12 in p, 1, 0? p Let q = -5 + 5.9. Let z = 0.1 + q. Let t = 0.3 + 0. What is the closest to z in 4, -1/3, t? t Let s = -0.8 + 1. Let u = -80917/21 - -3859. Let o = -36/7 + u. What is the closest to -0.1 in 1, s, o? s Let s = -0.18 - 0.42. Which is the nearest to 2? (a) -1/6 (b) -3/4 (c) s a Let i = -27/17 + 3/34. Which is the nearest to 2/5? (a) 2/5 (b) i (c) -2 a Let f be 2/(-2) - 6/(-10). Let x = 52 - 142. Let i be 2/72 - 20/x. Which is the nearest to i? (a) -5 (b) 2 (c) f c Let f be (-2143269)/(-156)*1 - 1. Let w = f - 55971/4. Let j = -255 - w. What is the closest to 0.1 in -3, -4, j? j Let m = 5 + -5. Which is the closest to 0.1? (a) m (b) -3/7 (c) 2 a Let x = -15.02 + 17. Let p = x - -0.02. Let s = -0.003 - -4.003. Which is the nearest to p? (a) s (b) -2/9 (c) -5 a Let r = 8.5 - 3.5. What is the closest to 2/7 in r, -3/4, -2? -3/4 Let i(m) = 5*m**2 + m - 1. Let d be i(1). Let r = -0.08 + 2.58. Let u = r + -2.6. Which is the nearest to -2/5? (a) -5 (b) u (c) d b Let l = -8.6 - -8.8. What is the closest to 4/7 in l, -0.4, 3? l Let t be ((-20)/12)/((-5)/3 - -2). What is the closest to -4 in -1, t, 1? t Let y = 39 + -39. Let p = -2.8 + 3. Let n = 0.06 + 1.94. What is the closest to y in n, p, -1? p Let g = 0.02 - 0.02. Let l = g - 0. Let d = l - -0.1. Which is the closest to d? (a) 1 (b) 0 (c) 0.5 b Let k = -34 - -39. What is the closest to 0 in -0.5, 0.3, k? 0.3 Let s be 2*(4/(-44))/(-1). Which is the nearest to s? (a) -5 (b) -2 (c) 0.1 c Let n = -2.148 - -0.048. Let v = -0.1 - n. Let r = -40/3 + 14. What is the nearest to r in 1, -4, v? 1 Let o = 177 + -1591/9. Suppose -3*x = 5*q + 142, -4*x = x + q + 200. Let t = 118/3 + x. Which is the closest to 0? (a) 2/5 (b) o (c) t b Let h = -0.09 + 0.09. Which is the closest to h? (a) -5 (b) -3 (c) -2 c Let p be (-18)/(-8) + -2 + (-22)/56. Which is the nearest to 0.11? (a) 2/7 (b) p (c) -1 a Let z = 4 - 5. Let y(g) = g - 3. Let m be y(6). Let c be (-15)/21*(-3)/(-5). What is the nearest to z in 2/9, m, c? c Let j be (-1336)/15 + 10/15. Let r(l) = -18*l + 2. Let t be r(5). Let q = j - t. What is the closest to 1 in 0, -5, q? 0 Let y = -5 - -21. Let c be (2/8)/((-10)/y). What is the closest to -1 in -0.3, -3, c? c Let s be ((-2)/10)/(3/9). Let q = 0.02 + -0.01. Let x = -1.99 - q. Which is the closest to 0.1? (a) s (b) x (c) -4 a Let t(l) = l + 1. Let c be t(2). Let k = 0.9 - -1.1. What is the nearest to k in c, -1, -0.2? c Let i = -2 + 2.2. Let h = -7 + 10. Let g = -3.1 + h. What is the nearest to 1 in i, 5,
{ "pile_set_name": "DM Mathematics" }
). -4 Let h be (-1)/2 + (-4)/(-8). Let a = -2 - h. Let t = -1 + a. Let r(d) = -2*d**2 - 2*d + 1. Give r(t). -11 Suppose -f + 0*f - s = 1, 5*s = -2*f - 2. Let v be -5 - f*(-8)/(-2). Let l(r) = -r + 1. Calculate l(v). 2 Let b = 0 - 3. Suppose 0 = -4*k + 8, 4*l + 4*k = -0*k + 16. Let z(t) = 3*t. Let f(q) = q. Let r(w) = l*z(w) - 9*f(w). Give r(b). 9 Let h(o) = -15*o**3 + 9*o**2 - o + 2. Let w(a) = 22*a**3 - 13*a**2 + a - 3. Let k(x) = 7*h(x) + 5*w(x). Let i be 1 - 0 - (-8)/(4 - 8). Determine k(i). -6 Let k(t) = -t**2 - 7*t - 5. Let u be (26/65)/((-1)/10). Calculate k(u). 7 Let o(w) = 3*w**2 - 2*w + 1. Let f = 5 + -5. Suppose f = -g - 0*g - 2. Let q = g + 3. What is o(q)? 2 Let n(g) = -g**3 - g**2 + 2*g + 1. Suppose 5*d + 3*h + 9 = 0, -5*d + 5*h - 25 = -0*h. Give n(d). 13 Let q = 8 - 8. Suppose q = 4*p - 0 - 8. Let j(n) = 0*n - 3*n + 2 + 2*n. What is j(p)? 0 Let z(b) = -b**3 + 4*b**2 + 4*b + 1. Suppose 14*p + 30 = 20*p. Determine z(p). -4 Let s(h) = -11*h**2 - 7*h + 2. Let c(b) = 5*b**2 + 3*b - 1. Let u(t) = -9*c(t) - 4*s(t). Calculate u(-2). -5 Let c be (-1 - -2)*-4*(-3)/(-2). Let z(a) = -a**2 - 7*a - 6. Calculate z(c). 0 Let q(k) = -2*k**2 - 4 - 3*k + 3*k**2 - 2*k. Give q(5). -4 Suppose 0 = -4*g + 5 + 3. Let j(y) = g*y**3 + y**2 + 0*y**3 - 9*y**3 + 1 + y + 0*y**3. Determine j(-1). 8 Suppose q + 3*t - 2 = 5*t, -t = 3*q - 6. Let s(r) = -2 + q*r + 2*r - 5*r. Suppose -4*m + 3*m = 3. Give s(m). 1 Let q(w) = -w - 2. Let o = -11 + 13. Calculate q(o). -4 Let v(j) be the first derivative of j**2 + 4*j - 35. Calculate v(4). 12 Suppose 0 = -11*t + 18*t - 56. Let c(z) = z**3 - 8*z**2 - z + 11. Determine c(t). 3 Let c(q) = 4*q + 2 - 2 - 1 + q**2. Suppose -2*g = -g - 3. Suppose 0*s + 5 = g*s + 4*o, 3*s = 2*o - 25. What is c(s)? 4 Let r(b) be the third derivative of -b**5/60 - b**4/6 + 2*b**3/3 - 283*b**2. Suppose 0*z - z + u = 7, 3*z - 4*u = -24. Calculate r(z). 4 Suppose j - 3*j = 6. Let f(m) = -4*m**2 + m - 7. Let t(s) = s**2 + 1. Suppose -5*n = -x + 10, -4*n - 3 = -x - 6*n. Let c(q) = x*t(q) + f(q). What is c(j)? 4 Suppose 2*s = 3 - 1. Suppose 0 = 2*g + i + s, 4*g + 6*i - i = -17. Let w(r) = 1 - 6 + 2*r + g. Calculate w(4). 5 Let d = -16 - -19. Let h(f) = f**3 - 3*f**2 + 2. What is h(d)? 2 Suppose k - 3 + 0 = 0. Suppose 0 = k*s + 4 + 8. Let u(p) = -p**3 - 3*p**2 + 6*p + 3. What is u(s)? -5 Let f(v) = -v + 5. Let h be (10/6)/((-3)/(-9)). Calculate f(h). 0 Let i = 10 - 8. Let d(c) = -2*c - 2 + 0*c - 4*c**i + 5*c**2 + 5*c. Give d(2). 8 Let i be 2/(-5) + 216/40. Suppose y + i*h = -23, 2*y + 4 - 13 = h. Let t(k) = 0 - 5*k**y - k**3 + k - 4*k + 5. What is t(-4)? 1 Let g = -1 - -2. Let a(w) be the first derivative of w**5/60 - w**3/6 - w**2 - 2. Let m(t) be the second derivative of a(t). Give m(g). 0 Let s(n) = -2 + 5 + n - 8 - 1. Calculate s(6). 0 Let g be 15/(-9)*(-1 - 2). Let k(c) = 2*c**3 - 8*c - 4*c**3 + 0*c**2 + 3*c**3 + 2 - g*c**2. What is k(6)? -10 Suppose 3*r - 4*x = 26, -6*r + r = -5*x - 45. Suppose 3*l = -4 - 11. Let y = l + r. Let h(u) = -u**2 + 7*u - 6. Give h(y). 4 Let j(b) = 4*b**2 + 1 + b - 2*b - 3*b - 3*b**2. Let p(v) = v - 5. Let z be p(8). Determine j(z). -2 Suppose -4 = 4*o - 12. Let n(v) = 7*v**2 - 2*v. Give n(o). 24 Let s = -29 - -35. Let g(p) = -p**3 + 7*p**2 - 5*p - 5. Give g(s). 1 Let a(w) = 8. Let h(s) = -s. Let k(u) = a(u) + h(u). Suppose -17 = -3*b - 2. Determine k(b). 3 Let k be (-6)/(0 + 9/6). Let g(j) = -j**3 - 4*j**2 - j + 5. Calculate g(k). 9 Let g(w) = 5*w**2 - 2*w - 3. Let o(d) = -11*d**2 + 4*d + 6. Let n(k) = -9*g(k) - 4*o(k). Calculate n(-3). -12 Let l = -48/5 + 293/30. Let o(h) be the third derivative of -l*h**3 + 1/60*h**5 + 0 + 1/24*h**4 + 0*h + h**2. Calculate o(-3). 5 Suppose -1 = -0*w + 5*w - 3*q, 4*w = 3*q + 1. Let b = 4 + w. Let z(x) = -9 + x - b*x + 2*x. What is z(4)? -5 Suppose 7*m = m + 6. Let a(x) be the third derivative of x**4/3 - x**3/6 + 2*x**2. Let o(d) = -9*d + 1. Let s(g) = 4*a(g) + 3*o(g). What is s(m)? 4 Let q be 3 + 3*(3 + -2). Suppose 4*s + q = 6*s + 2*i, 3*s - 4*i = 23. Let p(j) = -j + 1. What is p(s)? -4 Let k(r) = r**2 + 8*r + 4. Let d(z) = -z - 1. Let j(m) = -4*d(m) - k(m). Determine j(-6). -12 Let l(t) be the first derivative of -t**2/2 - 4*t + 8. What is l(-4)? 0 Let y(a) be the second derivative of a**7/2520 - a**5/120 + 5*a**4/12 - 4*a. Let i(b) be the third derivative of y(b). Calculate i(0). -1 Let x(w) = -w**2 - 5*w - 1. Suppose -2*k = -2*m + 7*m + 35, -3*m - 30 = 3*k. Determine x(k). -1 Suppose 28 = 5*z - 7. Let x(v) = 2 + 0*v**3 - 1 - z*v + 7*v**2 - v**3. What is x(6)? -5 Suppose -3 = -q + 17. Suppose 0 = 6*v - v - q. Let g(z) = 0*z**2 - v*z + 0*z**3 - 3*z**2 + 2 + z**3. What is g(4)? 2 Let c(y) = -3*y**2 - y - 7. Let t = 5 - 1. Let i(q) = 7*q**2 + 2*q + 15. Let j(r) = t*i(r) + 9*c(r). Calculate j(4). 9 Suppose 3 = 4*l - l. Let t(s) = 19 - 36 + 2*s + 16. Determine t(l). 1 Let g(f) = 6*f**2 - f - 9. Let p(j) = -7*j**2 + 2*j + 10. Let h(o) = -6*g(o) - 5*p(o). Calculate h(-6). -8 Let u(i) = 15*i**2 - 11*i - 18. Let m(w) = 7*w**2 - 5*w - 9. Let x(l) = 13*m(l) - 6*u(l). Let a(v) = -v**3 + 2*v**2 - 2*v + 1. Let f be a(1). Determine x(f). -9 Let g(x) = -x - 7. Suppose 3*i + i = -12. Let r be g(i). Let d(s) be the third derivative of -s**6/120 - s**5/12 - s**4/12 + 5*s**3/6 - s**2. What is d(r)? -3 Let b(l) = -2*l**2 - 3*l. Let v(g) = g - 2. Let n be v(6). Let u(m) = -m**2 - m. Let p(j) = n*b(j) - 11*u(j). What is p(1)? 2 Let a(o) = -o**3 + 4*o**2 - 2*o - 3. Suppose 5*s - 4 - 10 = q, -26 = -5*q + s. Let c be 12*(q/2)/3. Suppose -n - c = -4*n. Give a(n). -11 Let z(r) = -r - 8. Let l = 0 + 6. Give z(l). -14 Let c(t) = t + 7. Let b(d) be the third derivative of -d**6/120 + d**5/15 - d**4/24 - d**3/6 + 2*d**2. Let k be b(3). Give c(k). 12 Suppose -34*a = -35*a + 2. Let i(v) = -5*v - 1. Determine i(a). -11 Let w(t) = -2*t**3 + 2*t**2 - 2*t + 1. Suppose 4*z + 44 = -0*z + v, -5*z - 3*v = 38. Let f be (-10)/(-25) + 24/z. Let n = -1 - f. Calculate w(n). -1 Let g(w) = -w**3 + w**2 - 2*w + 1. Let t(n) = n + 8. Let j be t(8). Suppose -3*z = j - 19. Give g(z). -1 Let v(r) = -7*r + 2*r**3 + 2*r**3 - 1 + 3*r**3 + 5*r**2 - 6*r**3. Calculate v(-6). 5 Let g(w) = w**3 + 6*w**2 - 4*w + 3. Let t be g(-6). Suppose 2*u + 5*c = -t, 0 = 2*u - 4*u - 3*c - 17. Let r(j) = 16*j + 1 - 2 - 18*j + 11*j**3. Give r(u). -10 Let k(y) be the second derivative of y**3 + 3*y. Let t be (2/(-6))/(3/(-9)). Give k(t). 6 Let z = -2 - 0. Let x(d) be the second derivative of -5*d**3/6 - 3*d**2/2 + 8*d. Determine x(z). 7 Let g(j) = j**3 - 6*j**2 + 5*j + 5. Let d = -8 - 10. Let o = d - -23. Give g(o). 5 Let s = 12 + -6. Suppose -g + 6 = -2. Let h = s - g. Let r(k) = 3*k. Calculate r(h). -6 Let z(l) = 2*l - 4. Let a be z(5). Suppose -2*m + a = m. Let v(q) = 0 - 1 - m*q + 3. Calculate v(2). -2 Let g(m) = -6*m**2 - 2*m - 9. Let f(x) = -x**2 + x - 1. Let j(a) = -5*f(a) + g(a). Give j(-7). -4 Let c be ((-12)/(-10))/(2/10). Let b = c + 1. Let s(h) = -h**2 + 9*h - 9. Let y be s(b). Let o(t) = 2*t - 6. What is o(y)? 4 Let i(u) be the first derivative of u**4/4 - u**3/3 - 8*u + 12. Give i(0). -8 Suppose -2*y - y = -2*m + 11, -3*y = m + 8. Let g be (-1)/(-1*(y + 4)). Let s(i) = i**3 - 2*i + 1. Calculate s(g). 0 Let u(b) = b - 2. Let a be u(7). Let v(m) = 2*m**2 - 2 + 9 - 5*m + 3*m**2 - 4*m**2. What is v(a)? 7 Let q(r) be the second derivative of 0 - 1/12*r**4 - 1/3*r**3 + 0*r**2 + 4*r. Give q(-4). -8 Suppose -2*w - 2*w - 23 = -5*t, t - 13 = -2*w. Let c = -8 + t. Let p(n) = -3*n**3 - 2*n**2 + 1. Give p(c). 2 Let j(l) = -l**3 - l**2 + 3*l - 1. Let f be (-1)/(2 + -1 - 2). Let y be 8*((-1)/f - -2). Suppose -3*h - y = -7*h. Determine j(h). -7 Suppose 2*x = 4*x - 4. Suppose -4*m + x*m = 0. Suppose -2*d = -m*d + 2. Let a(h) = -4*h**3 - h**2 - h. What is a(d)? 4 Suppose 20*i = 22*i - 2. Let s(y) = -y**2 - 10*y - 11. Let n(f) = f + 1. Let d(r) = i*n(r) + s(r). What is d(-7)? 4 Let x(c) be the third derivative of c**6/120 + c**5/12 + c**4/4 + 2*c**3/3 + 2*c**2. Calculate x(-4). -4 Let m(p) be the third derivative of p**8/20160 - p**7/840 + p**6/120 - 2*p**5/15 - 3*p**2. Let w(i) be the third derivative of m(i). Give w(5). 1 Suppose 3*o + 3*c - 1 = 4*o, 21 = 3*o + 3*c. Let u(h) be the second derivative of 1/20*h**o + 0 - 2/3*h**3 + 1/3*h**4 - 3*h + h**2. Give u(
{ "pile_set_name": "DM Mathematics" }
4))/(10/u). Factor -3/5*a - k*a**3 - 1/5 - 3/5*a**2. -(a + 1)**3/5 Let n(k) = -k**3 + 16*k**2 - 15*k. Let f = 42 + -27. Let a be n(f). Determine w so that 2*w**2 + 2/5*w + a = 0. -1/5, 0 Let c(d) be the first derivative of -2*d**5/5 - 3*d**4/2 + 2*d**3/3 + 3*d**2 + 4. Determine b, given that c(b) = 0. -3, -1, 0, 1 Suppose -2*j - 12 = j. Let m = j - -7. Factor -6*p**2 + p**2 + 3*p**2 + 7*p**m. p**2*(7*p - 2) Suppose -7 = -2*a - 7. Factor -2*d**5 + 0*d - 1/2*d**3 + a*d**2 - 5/2*d**4 + 0. -d**3*(d + 1)*(4*d + 1)/2 Let i = 49/286 - 2/429. Suppose 1/6*s**3 + 5/6*s**2 - 1/2*s**4 - 1/3 - i*s = 0. Calculate s. -1, -2/3, 1 Let c(q) = 3*q**3 - q**2 - 4*q + 4. Let v(j) = 1 - j - 3*j**2 + 2*j**2 + j**3 + j**2. Let b(l) = 3*c(l) - 12*v(l). Let b(y) = 0. Calculate y. -1, 0 Let u(o) be the second derivative of -o**5/45 + o**4/72 + 3*o**2/2 + 2*o. Let m(l) be the first derivative of u(l). Factor m(y). -y*(4*y - 1)/3 Let x(b) be the second derivative of b**6/120 - b**5/20 + b**4/8 - b**3/2 - 4*b. Let h(c) be the second derivative of x(c). Suppose h(q) = 0. Calculate q. 1 Let j(f) = -f**3 - 9*f**2 - 9*f + 4. Let l be j(-8). Suppose -t = 3*t - l. Determine q so that -8/7*q**2 + 0 - 8/7*q**t + 0*q - 2/7*q**4 = 0. -2, 0 Solve 0*r**2 + 0*r**3 - 2/13*r**5 - 2/13*r**4 + 0 + 0*r = 0 for r. -1, 0 Let r(z) = z**2 - 7*z + 8. Let p be r(6). Let n = 4 - p. Find h such that -h**2 + 4*h - n*h + 4*h**2 = 0. -2/3, 0 Let f(v) be the second derivative of -v**5/60 + v**4/18 - v**3/18 - 30*v. Factor f(h). -h*(h - 1)**2/3 Let j(n) be the first derivative of 0*n**2 + 0*n + 0*n**3 - 1/12*n**4 + 1. Suppose j(o) = 0. What is o? 0 Let c be 1*-3 - ((-848)/(-80) + -14). Factor -2/5*n**3 + 0*n**2 + 0 + c*n. -2*n*(n - 1)*(n + 1)/5 Suppose 4*w - 2*p + 46 = -94, -w + 2*p = 32. Let t be (-15)/w - 2/(-8). Factor 0 - 4/3*d**3 - 2/3*d**4 - t*d**2 + 0*d. -2*d**2*(d + 1)**2/3 Suppose 7*n = -2*b + 2*n + 19, -3*b + 5*n - 9 = 0. Suppose 0 = -3*t - k, b*t + 0*k = -2*k. Determine c so that -4/5 + 2/5*c**3 - 6/5*c + t*c**2 = 0. -1, 2 Suppose g + r = 18, -9*g + 86 = -4*g + 4*r. Let j be 11/g - 3/6. Suppose 0*l**4 + j*l**5 + 2/7*l + 0 - 4/7*l**3 + 0*l**2 = 0. What is l? -1, 0, 1 Let n(f) be the first derivative of 9*f**4/4 - 2*f**3 - 21*f**2/2 - 6*f + 11. Determine q, given that n(q) = 0. -1, -1/3, 2 Let d(x) = 3*x - 30. Let p be d(10). Determine l, given that -1/4*l**2 + p - 1/4*l**3 + 0*l = 0. -1, 0 Factor 4/5*y**2 + 2/5*y**3 - 4/5 - 2/5*y. 2*(y - 1)*(y + 1)*(y + 2)/5 Let h be 75/18 - (-3)/(-30)*5. Let o(z) = -z**3 - 4*z**2 + 5*z. Let i be o(-5). Let -4/3*n**5 + i*n + 0 - 5/3*n**3 - h*n**4 + 2/3*n**2 = 0. Calculate n. -2, -1, 0, 1/4 Factor -5*j**3 - 4*j**2 - 3*j**3 + 10*j**3. 2*j**2*(j - 2) Let s(q) = -30*q**4 + 10*q**3 + 78*q**2 + 34*q. Let r(l) = 30*l**4 - 9*l**3 - 79*l**2 - 34*l + 1. Let i(a) = -4*r(a) - 5*s(a). Let i(m) = 0. What is m? -1, -1/3, -1/5, 2 Factor -75/2 - 15*l - 3/2*l**2. -3*(l + 5)**2/2 Let j(r) be the first derivative of -r**6/9 + r**4 - 16*r**3/9 + r**2 - 7. Factor j(x). -2*x*(x - 1)**3*(x + 3)/3 Let j(k) be the first derivative of 4 + 5/9*k**3 + 2/3*k - 7/6*k**2. Solve j(n) = 0 for n. 2/5, 1 What is q in -13*q + 37*q - 18*q - 3*q**4 - 6*q**3 + 3*q**2 = 0? -2, -1, 0, 1 Let m(c) be the second derivative of c + 0*c**2 - 1/147*c**7 + 2/105*c**6 + 0 - 1/21*c**4 + 0*c**5 + 1/21*c**3. Factor m(y). -2*y*(y - 1)**3*(y + 1)/7 Let h(b) be the third derivative of 1/210*b**7 + 0*b - 1/48*b**4 + 0*b**3 + 1/30*b**5 - 3*b**2 - 1/48*b**6 + 0. What is o in h(o) = 0? 0, 1/2, 1 Factor -2*d**2 + 4/3*d**3 + 4/3*d - 1/3 - 1/3*d**4. -(d - 1)**4/3 Let r = -34 - -20. Let x(d) = -6*d**2 - 8*d + 14. Let o(j) = 2*j**2 + 3*j - 5. Let l(c) = r*o(c) - 5*x(c). Let l(s) = 0. Calculate s. 0, 1 Suppose 3*q + 1 = 1. Find j, given that 0 + q*j + 0*j**2 - 2/5*j**4 + 2/5*j**3 = 0. 0, 1 Let q be 7/(-6)*(-15)/70. Factor 1/4*y + q*y**3 - 1/2*y**2 + 0. y*(y - 1)**2/4 Let o(j) be the third derivative of -j**6/840 - j**5/210 - j**4/168 + 13*j**2. Find f such that o(f) = 0. -1, 0 Let w(t) be the first derivative of 2*t**3/3 - 8*t - 8. What is s in w(s) = 0? -2, 2 Let z(q) be the first derivative of -q**5 + 25*q**4/4 - 40*q**3/3 + 10*q**2 + 10. Find p such that z(p) = 0. 0, 1, 2 Let w(t) = 9*t**2 - 70*t + 45. Let o(b) = 3*b**2 - 23*b + 15. Let z(c) = -7*o(c) + 2*w(c). Let u(g) = g - 1. Let a(d) = 15*u(d) - z(d). Factor a(q). 3*q*(q - 2) Let u(q) = -3*q**4 - 7*q**3 - 11*q**2 - 8*q + 4. Let p(w) = w**4 + 3*w**3 + 5*w**2 + 3*w - 2. Let i(m) = 15*p(m) + 6*u(m). Solve i(x) = 0 for x. -1, 1, 2 Let f(i) = i. Let y be f(3). Suppose 5*d = 2*d + 6. Factor -5*g**2 + 2*g**2 + g**d + 2*g**y. 2*g**2*(g - 1) Let y(v) be the first derivative of 1/16*v**4 - 1 + 1/12*v**3 + 0*v + 0*v**2. Factor y(a). a**2*(a + 1)/4 Let q(d) = 5*d**4 + 5*d**3 - 4*d**2 - 6*d - 7. Let w(p) = -p**4 + p + 1. Let g(y) = 2*q(y) + 14*w(y). Let g(z) = 0. Calculate z. 0, 1/2, 1 Let t(k) be the first derivative of 5/9*k**3 + 0*k - 1/4*k**4 - 1/6*k**2 - 1/3*k**5 - 6 + 2/9*k**6. Solve t(h) = 0. -1, 0, 1/4, 1 Let q = -10 - -13. Let p be (3*-1)/(-6) + 1. Solve -p*y**q + 1/2*y**2 + y + 0 = 0. -2/3, 0, 1 Let r(a) be the third derivative of a**8/336 - a**7/210 - a**6/60 + a**5/30 + a**4/24 - a**3/6 - 9*a**2. What is g in r(g) = 0? -1, 1 Let o(a) be the first derivative of -a**3/5 - 3*a**2 - 15*a - 3. What is d in o(d) = 0? -5 Let z(x) = -7*x**2 + 8*x - 3. Let a(o) = -6*o**2 + 8*o - 4. Let d(q) = 5*a(q) - 4*z(q). Suppose d(r) = 0. What is r? 2 Let w be (-3 - -7) + (3/(-3) - 0). Let n(a) be the second derivative of 0 + 0*a**2 + 1/36*a**4 - w*a + 1/18*a**3. Factor n(o). o*(o + 1)/3 Let r(a) = a**2 + 3*a + 2. Let v be r(-4). What is c in -2*c**4 + 2*c - 13*c**3 - 4 + 0 - 20*c**3 + 31*c**3 + v*c**2 = 0? -2, -1, 1 Suppose -8/3 + 2/3*b**3 + 0*b + 2*b**2 = 0. Calculate b. -2, 1 Let c be 81/15 - (-4)/(-10). Suppose -13 = -c*y + 7. What is d in -y*d**3 - d + d + 4*d + 2 - 2*d**4 = 0? -1, 1 Let y = 2/9 + 5/18. Suppose y*r - 5/4*r**2 + 0 = 0. What is r? 0, 2/5 Suppose 658 = -a + 3*a. Let p = a + -971/3. Factor -32/3*z**3 - 2/3 - p*z**2 + 14/3*z. -2*(z + 1)*(4*z - 1)**2/3 Let a(h) be the second derivative of h**4/54 + 2*h**3/27 + h**2/9 + 8*h. Factor a(d). 2*(d + 1)**2/9 Suppose -14*h + 13*h = 0. Find x, given that -2*x + 5*x**2 + 3*x**3 + 0*x + h*x = 0. -2, 0, 1/3 Let d = 9 - 5. Let f be 9/((-9)/(-3)) + -3. Suppose 0*g + f + 1/3*g**5 + 1/3*g**3 + 0*g**2 - 2/3*g**d = 0. What is g? 0, 1 Suppose -2*c + 4 = -0. Factor 20 - 3*a**2 - c*a - 20 - a**3. -a*(a + 1)*(a + 2) Let l(r) be the third derivative of 4*r**7/35 + 3*r**6/20 + r**5/20 - 10*r**2. Factor l(x). 3*x**2*(2*x + 1)*(4*x + 1) Suppose 0 = 3*k + 2*k. Find z such that z**2 + k*z**2 + 0*z**2 - z**3 = 0. 0, 1 Let f = 35/12 - 9/4. Factor -f*o**3 - 4*o**4 + 11/3*o**2 + 1/3 + 8/3*o**5 - 2*o. (o - 1)*(o + 1)*(2*o - 1)**3/3 Let i = -1 - -4. Let u(f) be the first derivative of 0*f + 1 - 1/12*f**4 - 2/9*f**i + 0*f**2. Suppose u(x) = 0. What is x? -2, 0 Let x(n) be the second derivative of -n**6/1440 - n**5/120 - n**4/32 + n**3/6 - 7*n. Let z(r) be the second derivative of x(r). Let z(y) = 0. Calculate y. -3, -1 Determine f, given that -8/5 - 4/5*f**3 + 12/5*f + 0*f**2 = 0. -2, 1 Let i(l) be the first derivative of l**6/150 + l**5/50 - l**3/15 - l**2/10 + 5*l + 4. Let j(k) be the first derivative of i(k). Find m, given that j(m) = 0. -1, 1 Factor 15*a**3 - 40*a**3 + 58*a**2 - 23*a**2 - 15*a + 3*a**4 + 2*a**4. 5*a*(a - 3)*(a - 1)**2 Let b be (-24)/18*(1 - -2). Let l be 18/b*(-4)/6. Factor 9*t - 8*t + 2 - 3*t**2 + t**2 - t**l. -(t - 1)*(t + 1)*(t + 2) Let q(v) = 4*v**3 - 6*v**2 + 2*v + 2. Let z(h) = -h**4 + h**3 + h**2 - h - 1. Let f(s) = q(s) + 2*z(s). Let f(a) = 0. Calculate a. 0, 1, 2 Let u(i) = 0 + 4*i + 6*i - 4 - 11*i. Let x be u(-4). Suppose x + 1/4*j**2 - 1/4*j = 0. Calculate j. 0, 1 Let d(h) be the second derivative of -h**8/1176 + 2*h**7/735 - h**6/420 + 3*h**2/2 - 2*h. Let o(p) be the first derivative of d(p). Factor o(s). -2*s**3*(s - 1)**2/7 Let r(a) be the first derivative of 9/4*a**4 - 3*a**2 - 8 + 3*a**3 + 0*a - 21/5*a**5 + 3/2*a**6. Factor r(g). 3*g*(g - 1)**3*(3*g + 2) Let g = 46 - 42. Solve -h**2 + 1/5*h**3 + 3/5*h**g + 2/5 - 1/5*h = 0. -1, 2/3, 1 Let u be 14/24 - 1/4. Suppose 2 = 11*m + 2. Factor u*x + 2/3*x**2 + m + 1/3*x**3. x*(x
{ "pile_set_name": "DM Mathematics" }
al places? -0.002 Let t = -5.16 + 5.557. What is t rounded to 2 dps? 0.4 Let u(f) = -f**3 - 4*f**2 - 2*f - 2. Let o be u(-3). Let s = o + 8. Suppose -s*c = 2*c + 2750000. What is c rounded to the nearest 100000? -600000 Let u(x) be the second derivative of 2*x**2 - 29/6*x**3 + x + 0. Let o be u(6). Round o to the nearest 100. -200 Suppose 2 = -4*o - t - 10, 4*o = t - 12. Let v be (-13)/(-3) - (-1)/o. Let j be v/14 - (-2127)/(-21). Round j to the nearest ten. -100 Let v = -0.3111 - 1723.6889. Let j = v - -1866.7. Let d = j - 133. Round d to the nearest integer. 10 Let k = 12.9947 - 13. What is k rounded to three decimal places? -0.005 Let g = -77 + 77.0008. What is g rounded to four decimal places? 0.0008 Let w = 1.229 - 0.165. Let n = -1 + w. What is n rounded to two decimal places? 0.06 Suppose 2*p - n = -4*n - 2228, 3352 = -3*p - 2*n. Round p to the nearest 100. -1100 Let m = -0.03156026 - -7997.05456026. Let k = m + -7993. Let x = 4 - k. What is x rounded to 2 decimal places? -0.02 Let c = 51048 + -51048.0200056. Let d = c - -0.02. Round d to six decimal places. -0.000006 Suppose -5*g + 3*l - 1021072 = 0, -g + 3*l = 3*g + 816857. Let f be 2*(-2 + (1 - g)). Suppose f + 631572 = -4*y. What is y rounded to the nearest 100000? -300000 Let o = 5.05 - 0.05. Let s = 1031781739 + -1031781744.00000013. Let c = o + s. What is c rounded to seven decimal places? -0.0000001 Suppose -6 = -c - 286. Round c to the nearest 100. -300 Let v = -3323 - -7283. Suppose -16565 = 3*q + w + 23212, 4*q + 53025 = -5*w. Let r = q + v. What is r rounded to the nearest one thousand? -9000 Let r = -117751 + 117751.00399835. Let i = -0.004 + r. What is i rounded to 7 dps? -0.0000017 Suppose 2*a - r + 2 = -36, -4*a - r = 70. Round a to zero dps. -18 Let v = 18 + -21.5. Let r = -0.5 + v. Let h = -3.99999 - r. What is h rounded to 6 dps? 0.00001 Let s = 6.799902 - 6.8. What is s rounded to 5 dps? -0.0001 Let y = 63.6 + -84. What is y rounded to zero dps? -20 Suppose 2*z + 4*a = -20, 2*z + 0*a = 4*a + 20. Suppose 2*x - 169 - 11 = z. Let q be x/((-1)/(160*5)). What is q rounded to the nearest 10000? -70000 Let l be 4100002 + (2 - -2)/(-2). Round l to the nearest 1000000. 4000000 Let v(k) = -4*k**3 + 10*k**2 + 12*k - 2. Let a be v(9). Round a to the nearest 1000. -2000 Let o be 6699977 - (-3)/1*1. Suppose 3*y - 23563338 + 3463326 = -3*f, -f + o = -5*y. Round f to the nearest one million. 7000000 Let o = 1235837 + -629644. Let x = -606190.00007 + o. Let r = 3 - x. What is r rounded to 4 dps? 0.0001 Let s = -0.55 - -22.55. Let k = -9 + s. Let r = -12.9999935 + k. What is r rounded to six decimal places? 0.000007 Let h = -3 + 6.2. Round h to 0 dps. 3 Let b = 811073 - -362875. Let s = 1932949 - b. Suppose 2*m = -r - 258999 + s, -5*m = 3*r - 1250006. What is m rounded to the nearest 100000? 300000 Let l = -0.22 + 0.68. What is l rounded to one decimal place? 0.5 Let q(i) = -i. Let b be q(0). Suppose v - 821 - 616 = h, b = -5*v + 3*h + 7191. Suppose w = -3*w + v. Round w to the nearest one hundred. 400 Let n be 2/((-2)/(-3)) + -97003. Round n to the nearest 10000. -100000 Let s = -76 - -76.039. Let b = -0.146 + s. Round b to 2 dps. -0.11 Let a = -11.17 + 11. What is a rounded to 1 dp? -0.2 Let c = -0.3 + -0.7. Let a = 0.11 - c. Round a to one dp. 1.1 Let p = 0.22 - 0.02. Let g = 778.89997 - 778.7. Let a = p - g. Round a to five decimal places. 0.00003 Suppose -5*a + 14500015 = q, 2*q + 2*a = 4*a + 28999994. What is q rounded to the nearest 1000000? 15000000 Let u = -227.92 + -3.08. Let x = u - -230.999871. Round x to five decimal places. -0.00013 Let g(v) be the second derivative of 1852*v**5/5 - 5*v**4/12 + 5*v**3/3 - 4*v**2 - 10*v. Let d be g(6). Round d to the nearest one million. 2000000 Let b = -61 - -60.99938. What is b rounded to four dps? -0.0006 Let b = 25.0048 + -25. What is b rounded to three decimal places? 0.005 Let p = 3.94 - 0.14. Let s = -28.8 + p. Let h = -24.999945 - s. Round h to 5 dps. 0.00006 Let c = 298 - 271.3. Let q = -133.7 + c. Let n = -106.9869 - q. What is n rounded to 3 decimal places? 0.013 Let n(q) = -1113*q + 9. Let t(o) = -2*o - 2. Let i be t(-4). Let y be i/21 - (-153)/(-21). Let z be n(y). What is z rounded to the nearest one thousand? 8000 Let x = 643933 - -3583730. Suppose 0 = n - 2172337 - x. What is n rounded to the nearest 1000000? 6000000 Let s be -940008 + -4 + 8 + 4. What is s rounded to the nearest one hundred thousand? -900000 Let o = 77 - 63.2. Let k = o - 11. Let y = 2.79999945 - k. What is y rounded to seven decimal places? -0.0000006 Let u(d) = -3817*d**2 - 8*d - 31. Let y be u(-13). What is y rounded to the nearest one hundred thousand? -600000 Suppose -5*u = 4*u - 88200000. Round u to the nearest 1000000. 10000000 Let p = 34 + 26. Let a = 59.9999918 - p. What is a rounded to six decimal places? -0.000008 Suppose 16 = -3*l + 709. Let q be (-1)/(0 + 3/l). What is q rounded to the nearest ten? -80 Let j = 134.72 - 137. Let q = 1.4 + j. Round q to one dp. -0.9 Suppose -2*f = 3*a - 10056634, -2*f - f = 4*a - 13408846. Let z = 1 + 4. Suppose -z*i - a = -20352210. What is i rounded to the nearest one million? 3000000 Let i(v) = 7*v**2 - 2*v - 3*v**3 + 7 - v**3 - 15 + 2*v**3. Let x be i(8). What is x rounded to the nearest 100? -600 Let c = 74004.1000075 + -74004. Let u = -0.3 - -0.2. Let g = u + c. Round g to six decimal places. 0.000008 Let h = 223.54856 + 0.44144. Let z = -223 + h. What is z rounded to one decimal place? 1 Let m be 10*((-8)/40 + 7/10). Round m to the nearest integer. 5 Suppose -14798634 = g - 42243643. Let r = 13645009 - g. Round r to the nearest 1000000. -14000000 Let t = 62 + -73.8. What is t rounded to zero decimal places? -12 Let f = 1.59 - 1.663. Round f to 2 decimal places. -0.07 Let z = -6.12294871 + 5.985584. Let u = 0.23736474 + z. Let g = u + -0.1. Round g to seven dps. 0 Let z = 5 - 3. Let q = z + -3. Let l = q - -0.9994. Round l to four dps. -0.0006 Suppose -2*y = -11722 + 37722. What is y rounded to the nearest ten thousand? -10000 Let r be (1636 - 1)*(-22)/33. What is r rounded to the nearest 100? -1100 Let s = -20.032 + 0.032. Let a = 20.0000085 + s. Round a to 6 decimal places. 0.000009 Let f = -5476 + 5517.39. Let n = f + -41. Let b = 0.56 - n. What is b rounded to 1 decimal place? 0.2 Suppose 9*p - 4*p = 34449810. Let d = p - 15389962. What is d rounded to the nearest 1000000? -9000000 Let x = -0.103 - -0.052. Let y = -1091 + 1090.9537. Let g = x - y. Round g to three decimal places. -0.005 Let o(g) = 2*g**2 + 4*g. Let r be o(-3). Let l be 60/(r/88*-2). Round l to the nearest 100. -400 Let t = -0.592 + -33.258. Let m = -33 - t. Let y = m - 0.15. Round y to one dp. 0.7 Let m = -0.378 - -0.45. What is m rounded to 2 decimal places? 0.07 Let u = -106 + 106.00102. What is u rounded to four decimal places? 0.001 Let z = 1104 + -1129.66. Let r = -38 + 63. Let b = z + r. Round b to one dp. -0.7 Let h = -128.59 - -13.49. Let j = -82 - h. Let x = 33.100163 - j. What is x rounded to 5 dps? 0.00016 Let p(s) = -540001*s**2 + 1. Let w(t) = -t**2 - 11*t - 9. Let g be w(-10). Let a be p(g). Round a to the nearest one hundred thousand. -500000 Let f = -0.64 - -0.5. Let p = 0.14003 + f. Round p to 4 decimal places. 0 Let f = -4063589.999912 - -4063605. Let x = f - 15. What is x rounded to five dps? 0.00009 Let y = 43 - 50.5. What is y rounded to the nearest integer? -8 Suppose 11460 - 3480 = 6*t. What is t rounded to the nearest 100? 1300 Suppose -7*y = -5*y - 8228. Suppose -y - 30486 = 2*s. Round s to the nearest one thousand. -17000 Let n = -71.086 + 71. Let c = n - -0.796. Round c to 1 dp. 0.7 Let d = 3934054672561.5000012 - 3934052654617. Let r = d - 2017945. Let m = 0.5 + r. Round m to six dps. 0.000001 Let p = 47075.074 + -47012. Let o = -63 + p. What is o rounded to 2 dps? 0.07 Let y be -9 + -1*1/(-1). Let i(s) = 158*s**3 - 3*s**2 - 12*s - 8. Let j be i(y). Round j to the nearest ten thousand. -80000 Let n = 3.65 + -3.1. Round n to 1 decimal place. 0.6 Let b = 2.16 - 110.16. Let g = 107.99999951 + b. Round g to 7 decimal places. -0.0000005 Let z be 3/(((-21)/(-4))/7). Suppose -357667 = -5*x - z*w - 1857667, -2*w + 1500000 = -5*x. What is x rounded to the nearest one hundred thousand? -300000 Let v = -65.1775 +
{ "pile_set_name": "DM Mathematics" }
17). Which is the third smallest value? (a) 4 (b) 2/9 (c) -2 (d) r (e) -6 d Let r = -2/15 - 31/105. Let u = 0.046 - 0.114. Let g = -0.068 - u. What is the third smallest value in g, -0.02, r, -4? -0.02 Let f(p) = -4*p + 1. Let q be f(1). Let r be (63/(-84))/(1/220). Let n be (-90)/r - 196/198. Which is the second smallest value? (a) q (b) 1 (c) n (d) -0.2 c Let k = -4.292 - -4.692. Which is the fourth biggest value? (a) k (b) 0.2 (c) 0.07 (d) -1/6 (e) 5 c Let x = -0.72 + 0.22. Let v = 0.34 + 0.06. Let l = -96 - -98. What is the second smallest value in v, x, l? v Let k be (7 - 1) + -13 + (10 - -6 - 7). Which is the smallest value? (a) -1/5 (b) k (c) -3/26 a Let w = -618 + 1038. Let v = w + -420.3. Which is the second biggest value? (a) 0.5 (b) -33 (c) -3/8 (d) v d Let t(x) = x**2 + 2*x - 3. Let q be t(0). Let k = 105.06 - 100. Let z = -0.06 + k. Which is the second biggest value? (a) z (b) 0.8 (c) q b Let d = 0.196 + -65.196. Let v = -81 - d. Let l = 45 - 401/9. Which is the third biggest value? (a) v (b) 2/3 (c) l a Let w = -245 - -269.2. Let m = w - 23.8. What is the fourth biggest value in -5, -1/3, m, 3? -5 Suppose 0 = 14*f - 96 + 183 - 73. What is the third smallest value in f, -2/119, -5, -0.4? -0.4 Let l = -16 - -21.7. Let a = 0.7 - l. Let y = -0.7 - -2.7. What is the third biggest value in a, y, -0.3? a Suppose -46 + 160 = 38*v. What is the second smallest value in -3, 0.05, 2.5, v? 0.05 Suppose 0 = 1690*x - 1701*x - 44. Let m = 2 + -1.9. Let z = m + 0.9. Which is the fourth smallest value? (a) -0.4 (b) x (c) -0.6 (d) z d Suppose 29*u = 26*u + h - 101, 4 = 2*h. Let t be (418/(-70) + u + 39)*-1. Which is the biggest value? (a) -1 (b) t (c) 0.4 (d) 0 c Let b(m) = 159*m - 1427. Let j be b(9). What is the fourth biggest value in -1/26, 3, 0.065, j, -1/4? -1/26 Let g = -1.028 - -0.028. What is the second biggest value in 0.0471, g, 0.2? 0.0471 Let q = 1 - -1. Let w = 1247 - 1252.19. Let r = 1.81 - w. Which is the second smallest value? (a) 5 (b) r (c) q a Let x be 12 + -16 - -5 - 4. What is the biggest value in x, -32/85, -2? -32/85 Let l be (16/40)/((-50)/(-125)). Which is the biggest value? (a) -7 (b) -33 (c) l c Let z = 1455.1 + -1455. Which is the third smallest value? (a) z (b) -2/3 (c) -5/6 (d) 66 a Let o = -105 - -109. What is the biggest value in o, -3, -1/2, 7? 7 Let c = 16.8 + -34. Let l = 0.2 + c. Let m = l + 12. What is the second smallest value in m, -1/5, 10? -1/5 Let m = 18715 - 18717. Suppose -3*j + 8 = j. Let a be 0/j*(-3)/(-6). What is the biggest value in -3/7, 1, a, m? 1 Let j be 66*(-2)/(-5 + -3)*2. What is the biggest value in j, -6, 0.2? j Let i = -0.9 + 0.9. Suppose 50 = 2*q + 30. Suppose 17 = 3*k - 4*r, q = -2*r - 0*r. Which is the smallest value? (a) i (b) -2 (c) 0.2 (d) k b Let u = 10.725 - 12.725. Which is the smallest value? (a) u (b) -1 (c) -2/19 (d) 1 a Let u = -212.25 - -213.25. Which is the second smallest value? (a) 0.2 (b) 0.422 (c) u (d) 1/3 d Let u = -96.329 + -0.171. Let p = u + 96. What is the second biggest value in -4, 0, p, 1/3? 0 Let l = -7398.8 - -7399. Let s = -163 + 818/5. Which is the third biggest value? (a) -0.4 (b) 2 (c) l (d) s c Let n be ((-96)/(-432))/(20/(-45)). Which is the third biggest value? (a) 2 (b) 5 (c) n (d) 3/11 (e) 4 a Let s = -4116 - -4076. What is the smallest value in s, -6, -2, -4/5? s Let j = -92 + 55. Let b = -86 - j. Let n = -51 - b. What is the fourth smallest value in 1, -0.5, -0.3, n? 1 Let z = 269 - 1162. What is the biggest value in -2, 3/8, z? 3/8 Let q = 14540 - 14537. Let g = -5.02 - 0.38. Let l = -5 - g. Which is the second smallest value? (a) l (b) 2/7 (c) q (d) -2 b Let p = 0.1 - -4.9. Let d(i) = -4*i**2 + 121*i - 11. Let n be d(30). Suppose 5*a = y + n, 3*a - 1 = -3*y + 14. What is the third biggest value in -1/2, a, 0, p? 0 Let m = -5850 - -17549/3. What is the second smallest value in -7, -0.5, m, -45/11? -45/11 Let m = -0.3 + -0.2. Let d = m + 0.3. Let r be ((-10 + 5 - -5)/(-6))/(16 + -21 - -3). What is the third biggest value in 0.5, d, r? d Let p = -5388 - -5377. Which is the third biggest value? (a) p (b) -6 (c) -1 a Suppose 4*u - 3*c + 29 = 11, -8 = 3*u - 5*c. Let n = 700/57 + -246/19. Let g = 50 + -50. What is the second smallest value in u, n, g? n Let r = -387 + 407.1. Let p = r + -18.1. What is the fourth biggest value in -0.3, 0.18, -2, p? -2 Let j = 146/5 - 142/5. Let t be 15/(-6)*(-8)/(-5). Let a be 81/(-21) - t - 1. What is the biggest value in a, -2/9, j? j Let k = 7.77 + -6.77. Let j = 553/3 + -184. Which is the second smallest value? (a) -2 (b) j (c) k (d) -1 d Let r(z) = -3*z**2 - 246*z + 762. Let d be r(3). Let v be 8/6*(-3)/(-2). Which is the biggest value? (a) d (b) 31 (c) v b Let f = -586931/21 + 27949. Which is the fifth smallest value? (a) 0.5 (b) f (c) -1 (d) -20 (e) 21 e Let k = -59 - -58.79. Let q = -5.21 - k. Let m = 83/2 + -44. Which is the third smallest value? (a) 2/3 (b) q (c) m (d) 2/7 d Let p = -17836/80505 + -6/8945. Which is the fourth biggest value? (a) -3 (b) -1.1 (c) -3/4 (d) p a Let t = 0.01 - 0.41. Let m = 2125/15592 - 22/1949. What is the second biggest value in 16, t, -3/4, m? m Let p be (8/30)/((-2)/5)*-3. Let b(j) = j - 9*j**p - 9*j + j**3 - 15 - j + 4. Let c be b(10). What is the third biggest value in c, 2/5, 4? c Suppose 0 = -2*b - 0*b. Let d = 6353 - 6358. What is the third biggest value in b, d, 2/5? d Let w = -7011.58 - -7005. Which is the second biggest value? (a) w (b) 2/9 (c) -1/2 (d) 0.1 d Let h = -89 - 322. Let d = h + 413. Suppose 3*l - 5 = n, 5*l = n + 6 + 5. Which is the smallest value? (a) l (b) 0.1 (c) d b Suppose -3 = -2*g + 1. Let o be (-3)/g*4/(-3). Let w be (-22)/10 - (-3 + o + -1). Which is the third biggest value? (a) 0.1 (b) w (c) -3 c Let y be (-12)/66 + -6*20/1760. What is the second smallest value in y, 3, -58? y Let a = 88 - 64. Let y(k) = k**2 - 3*k - 26. Let r be y(0). Let q = r + a. What is the third biggest value in 0.2, q, 2/5? q Let u = -41.5 + 41.455. Let q = 434.045 + -430. Let k = q + u. Which is the second smallest value? (a) k (b) 4/5 (c) -2/11 b Let j = 10.12 - 1.12. Let r = 37 - 45.9. Let o = r + j. Which is the smallest value? (a) 5 (b) 3/4 (c) o (d) -1 d Let h = 334 - 329. What is the second smallest value in 0.6, 3, h, -4, -0.3? -0.3 Let h = 27 + -27. Suppose -7*n - 2 + 58 = h. Let t = -113 + 112. Which is the second biggest value? (a) -1/8 (b) t (c) n (d) 0.5 d Let g = 9897 + -4107257/415. What is the smallest value in 2, 1/3, g? g Let n = -172 + 128. Let x = n + 34. What is the second smallest value in 0.5, 0.1, x? 0.1 Suppose -4*d + 5*h + 24 = 0, -6*d - 3*h = -2*d + 8. Let o be -6 + d - (-5)/(25/22). What is the third smallest value in -1/27, o, -2/5? -1/27 Let u = 5591.487 + -5587. Let m = u - 0.487. What is the smallest value in 2.4, 3, m? 2.4 Let k = -0.3885 + 0.0275. Let l = k - -0.061. Which is the fourth smallest value? (a) 2 (b) 2/3 (c) -0.05 (d) l a Let s = -18075 + 126522/7. Which is the third smallest value? (a) 36 (b) -2.7 (c) s a Let x = 6 + -30. Let o be (-3)/6*(4 + 6/x). What is the third biggest value in -4, -0.04, o? -4 Let o = -15595 - -15594.9. Let f = 5 + -8. Which is the second smallest value? (a) f (b) -104 (c) o (d) -2/3 a Let o be 19 - (-12 + (-19192)/(-619)). Which is the third smallest value? (a) 5 (b) -2/9 (c) o a Let q = 113.637 + -114. Let f = q - -0.273. What is the fourth biggest value in -2/13, 1, f, -4? -4 Let l be -11 + 4 - (-70 - -59). What is the fourth smallest value in l, 1/2, -0.24, 0.1? l Let s be (57/532)/((-27)/(-24)). Which is the third biggest value? (a) 0.3 (b) -0.5 (c) -3 (d) s (e) -2/41 e Let p = 8.12 + -8. Let i = -14.12 + 14. Let h = i + p. Which is the second biggest value? (a) h (b) 3 (c) 0.4 c Let f be (2/6)/((-20)/(-15)). Let r = 94 + 73. Let o = -166 + r. Which is the third biggest value? (a) f (b) -0.11 (c) o b Let q = -2.2 - -2. Suppose 23*d - 32*d = -1611. Let o = 179 - d. What is the second biggest value in 0.5, o, q? o Let z = 2833 + -2836. What is the biggest value in -0.5, z, -51, 3, -4? 3 Let o be 0/2 + 36 - -7. Suppose 32*q - o*q = 22. Which is the third smallest va
{ "pile_set_name": "DM Mathematics" }
= -g, 3*g + 4*n = 21. Suppose -5*k = -2*h + 24 + 12, h = g. Calculate the remainder when (k + -1)*60/(-14) is divided by 11. 8 Let a(x) = 4*x - 1 - 2*x - 18*x. Suppose -125 = -4*k - 9. What is the remainder when k is divided by a(-1)? 14 Suppose 21 = 4*h - 23. What is the remainder when 28 is divided by h? 6 Suppose 3*i - 5*h = 10 + 28, 2*h = i - 11. Suppose 0 = 3*s - i - 0. Calculate the remainder when 26 is divided by s. 5 Suppose -16 = -0*g + 4*g, -4*g - 8 = 4*w. Suppose -w*h - h = -84. Calculate the remainder when h is divided by 10. 8 Let t(w) = 5*w + 54. What is the remainder when 49 is divided by t(-8)? 7 Let k be (30/9 + -2)*3. Let r = k + 33. Calculate the remainder when r is divided by 13. 11 Suppose -4*j + 56 = -0*b + 2*b, -2*j + 44 = -3*b. Let c = 35 + -24. Calculate the remainder when (-5 + 1)/((-2)/j) is divided by c. 10 Let s(j) = -j + j**3 + 0*j**3 + 6*j**2 - 2*j**3 - j**2. What is the remainder when s(4) is divided by 7? 5 Suppose 20 = y - 3*z, 2*y - 2*z - 22 - 2 = 0. Let m(f) = f**3 - 8*f**2 + 6*f - 5. What is the remainder when m(y) is divided by 11? 10 Let r = -47 - -67. Suppose -3*d + 0*z + 2*z + 13 = 0, -11 = -3*d + 4*z. Suppose 0 = -d*u + 121 + 169. Calculate the remainder when u is divided by r. 18 Calculate the remainder when 264 is divided by (-40)/(1 + -2) - (-8)/(-4). 36 Suppose -a = -0*a - 5. Suppose 2*n + 6 = a*n. Let p(z) = z**3 - 9*z**2 + 7*z + 11. Calculate the remainder when p(8) is divided by n. 1 Let s = 95 - 69. What is the remainder when 125 is divided by s? 21 Let o = 59 + 8. Calculate the remainder when o is divided by 24. 19 Let q(s) = s**3 - s**2 + s - 2. Let i be q(-2). Let j = 21 - i. Suppose 33 = 3*c - 2*y, y = 3*c + 7 - j. Calculate the remainder when c is divided by 5. 4 Calculate the remainder when (-60)/(-8)*(-16)/(-6) is divided by 12. 8 Let o(t) = -t**3 - 18*t**2 + 15*t - 8. What is the remainder when o(-19) is divided by 6? 2 Let a be (4 - 1)*(3 + -2). What is the remainder when (-1 - -2)/(a/21) is divided by 3? 1 Let o(l) = -l**2 - l + 50. Suppose 5*j = z - 25, -2*j = -4*z - 4*j - 10. What is the remainder when o(z) is divided by 26? 24 Suppose 16 = 2*g - 0*g. Let s = g - 5. Suppose b + 8 = 3*b. Calculate the remainder when b is divided by s. 1 Let j(x) = -x + 2. Let i(k) = -k**2 - 8*k - 5. Let c be i(-7). What is the remainder when ((-52)/(-10))/(c/5) is divided by j(-3)? 3 Suppose -2*a = -8, 2*z + 35 = a - 15. Let w be ((-34)/8)/((-8)/64). Let x = z + w. What is the remainder when 31 is divided by x? 9 Suppose 83 = 5*u + 13. Suppose -c = l + 26 - 79, 0 = 3*l - 4*c - 173. What is the remainder when l is divided by u? 13 Suppose 179 = 5*h + 59. Suppose q + h = 3*q. What is the remainder when 33 is divided by q? 9 Let z(m) = -m**3 + 10*m**2 - 7*m - 10. Let o be z(9). Let r = o - 1. Calculate the remainder when 19 is divided by r. 5 Suppose -5*w = -u + 5, -w + 11 = u - 4*w. Calculate the remainder when u is divided by 6. 2 Let w = 84 - 16. Suppose 0 = s + x - 37, -3*x + 4 = -2*s + w. Let g = -19 + s. What is the remainder when 47 is divided by g? 15 Let r(d) = 2*d**2 + d - 1. Let h be r(1). Suppose -h*p = -27 - 1. What is the remainder when 54 is divided by p? 12 Suppose 44 - 134 = 3*z + 4*d, -z + 4*d = 46. Let x be z/9 - 2/9. Calculate the remainder when (-15 - x)/(-1 + 0) is divided by 6. 5 Let j be -5*3/(-10)*4. What is the remainder when 3/(-2) + 219/j is divided by 12? 11 Let u(a) = 6*a - 5. Let n = -1 + 1. Let o = 2 + n. Calculate the remainder when o is divided by u(1). 0 Let o(n) = 10*n**2 - 2*n + 9. What is the remainder when o(3) is divided by 20? 13 Suppose 0 = -y, -5*p - 3*y = 22 - 2. Let g(r) = -13*r - 4. Calculate the remainder when g(p) is divided by 25. 23 Let x(f) = 6*f**3 - 7*f**2 - 12*f - 7. Let p(q) = -q**3 + q + 1. Let u(j) = 5*p(j) + x(j). What is the remainder when 17 is divided by u(8)? 5 Suppose -4*a + 49 = 3*c, -6*a + 2*c - 16 = -7*a. Suppose 2*j - 43 = 31. Calculate the remainder when j is divided by a. 7 Suppose 2*t - 4*t = -8. Suppose -t*v = v - 5. Calculate the remainder when 2 is divided by v. 0 Let g(f) = 4*f - 5. Let w be g(-5). Let i = 5 - w. What is the remainder when i is divided by 11? 8 What is the remainder when (-1118)/(-7) - -3 - 4/(-14) is divided by 33? 31 Suppose z - 5 = 0, 5*h - 2*z - z = 15. Calculate the remainder when h is divided by (-42)/(-15) + (-1)/(-5) - -1. 2 Let o(j) = 8*j - 9. Calculate the remainder when o(7) is divided by 12. 11 Suppose 5*d + 2 + 8 = 2*h, 4*h + d = 20. What is the remainder when 19 is divided by h? 4 Suppose -3 = -4*w + 9. Let k(a) = 27*a - 3. Calculate the remainder when k(2) is divided by (15 - -1) + (-9)/w. 12 Let k = 9 - 34. Let g be 2/10 + 805/k. Calculate the remainder when ((-3)/2)/(3/g) is divided by 9. 7 Let n(w) = 2*w**3 + w**2 - w. Let f be n(1). Suppose -f*t = t - 114. What is the remainder when t is divided by 10? 8 Let b = -21 + 34. What is the remainder when (-45)/6*40/(-6) is divided by b? 11 Suppose -f + 3*f - 4 = 0. Suppose q = -3*u + 8, -f*q + 2*u + 9 = u. Suppose 4*g - 90 + 17 = -q*z, 57 = 3*g + 3*z. What is the remainder when g is divided by 12? 10 Suppose -11 - 21 = -2*o. What is the remainder when 29 is divided by o? 13 Suppose 2*f = 5*u + 5*f - 289, -3*u - f + 171 = 0. Let h be 6/18 - u/6. Calculate the remainder when 37 is divided by 3*((-84)/h - 3). 18 Suppose 10 = -2*q, 4*t + 2 + 2 = -4*q. Suppose -x + 110 = 5*o, x - t = o - 4*x. Calculate the remainder when 41 is divided by o. 20 Suppose 0 = -4*z - 10 + 54. Let g = 15 - z. Calculate the remainder when g is divided by -2*2/(-10)*5. 0 Let q be 0 + -12 - (-3 - -3). What is the remainder when ((-1)/(-2))/((-2)/(-128)) is divided by 6/q*(-21 + -1)? 10 Suppose -5*m = 5*t - 53 + 13, -3*t + 14 = -2*m. Let u = 11 - t. What is the remainder when u is divided by 2? 1 Let f(p) = -p**2 - 10*p + 10. Let y be f(-9). Suppose 3*l - 176 = y. Let t = -21 + l. Calculate the remainder when t is divided by 15. 14 Suppose 0*f = -f + 2. Suppose 12 = 4*n + j, -3*n = -f*j - 14 - 6. Calculate the remainder when 7 is divided by n. 3 Let s(j) = j**3 - 5*j**2 + 2*j + 2. What is the remainder when s(6) is divided by 13? 11 Suppose -22 = -3*i + 2. Let c(f) = 3*f**3 + f**2 + f - 2. Let n be c(2). Let q = 50 - n. Calculate the remainder when q is divided by i. 6 Suppose 0*l = -3*l - 3*b + 60, 70 = 5*l - 5*b. Calculate the remainder when 185 is divided by l. 15 Suppose 5*s = -62 - 78. Let a(l) = -2*l**2 + 11*l - 7. Let i be a(8). Let x = s - i. What is the remainder when x is divided by 5? 4 Let f(c) = -3*c + 13. Let x be f(4). Let r = x - -24. Suppose 2*g - 5*z - 141 = 0, -4*g + 2*z - 8 = -298. Calculate the remainder when g is divided by r. 23 Let i = 93 - 67. What is the remainder when i is divided by 14? 12 Let i = 6 + 10. Suppose -7*v + 3*o = -2*v + 79, 2*v + 44 = -5*o. Let j = 14 - v. Calculate the remainder when j is divided by i. 15 Suppose -2*f + 77 - 23 = 0. Suppose l + f = b - l, 5*l = b - 42. Calculate the remainder when 31 is divided by b. 14 Let j(v) = -v**2 + 10*v + 3. Suppose 3*n + 0*n - 18 = 0. Suppose -s - 2*u = -19, -2*u + n = 3*s - 31. Calculate the remainder when 35 is divided by j(s). 11 Suppose 5*f - 2*k = 14, 2*f + 4*k - 1 = 19. Suppose 2*b - 3 - 9 = 0. Let l(x) = x**3 - 7*x**2 + 8*x - 6. What is the remainder when l(b) is divided by f? 2 Let o = -30 - -36. What is the remainder when 13 is divided by o? 1 Let o = 24 + -10. Calculate the remainder when 39 is divided by o. 11 Suppose 2*f - 7*f = -60. Let m = 9 - 4. Suppose -3*l = 5*y - 36, 4*l - 5*l + m*y - 8 = 0. Calculate the remainder when f is divided by l. 5 Let y(m) = m**2 - 7*m - 22. Calculate the remainder when 27 is divided by y(10). 3 Let d(w) = -w**3 - 6*w**2 - w + 8. Let x be d(-6). Suppose x = -2*s + 4*s. Calculate the remainder when s is divided by 3. 1 Suppose -2*x = -2*j + 24, 0 = -5*x - 4*j - 19 - 23. Let g = x + 18. Calculate the remainder when 23 is divided by g. 7 Suppose 0 = x + 2*k - 6, -2*k + 6 = 2*x - 4. What is the remainder when 18 is divided by x? 2 Let v = -13 - -15. What is the remainder when 3 is divided by v? 1 Let a = -4 - -6. Calculate the remainder when 45 is divided by 15 + 0 - (1 + a). 9 Let p(l) = 2*l - 2. Let u(j) = -1. Let g be (-4)/6*(-3 + -3). Let y(q) = g*u(
{ "pile_set_name": "DM Mathematics" }
y? (a) 4 (b) 1/4 (c) -5 (d) 0.4 b Let u = -67.5 + 67. Let o = 0.5 + -0.7. What is the closest to 0 in o, u, 2/5? o Let t be 2859/(-24)*(-3 + 2). Let h = -119 + t. Which is the nearest to 1? (a) -0.3 (b) h (c) -1/6 b Let p = 9.2 + -6. Let w = 3 - p. Let y = 3791.9 + -3792. Which is the nearest to y? (a) -0.1 (b) 0.4 (c) w a Let p be 3*-2 - (-1 - -2). Let v = p - -27/4. What is the nearest to -1 in 3/5, 1.3, v? v Let j = -0.1295 + -1.8705. Which is the nearest to 0.3? (a) 5 (b) 0 (c) -4 (d) j b Let d = -127 - -35. Let l be 40/2 + (5 - 3). Let i be 2/(-11) - d/l. Which is the nearest to 2/5? (a) 3 (b) 0 (c) i b Let u = -5.5 + 0.5. Let o = -273238/165 - -1656. Let t = o + 157/660. Which is the closest to 3? (a) t (b) 1/3 (c) u b Let o be (-3)/5 + (12/5)/4. Suppose -7*h - 2*u = -3*h + 2, -4*u + 2 = 2*h. Let x = -32.9 - -33. What is the closest to x in 0.1, o, h? 0.1 Let x = -583 + 582.6. Which is the nearest to -5? (a) -0.2 (b) 2/9 (c) x c Let n = -5 + 1. Let k = 0.001 - -0.999. What is the nearest to 2/3 in n, -2/9, k? k Let x = 1557 - 1565. Which is the nearest to x? (a) -2 (b) -8/3 (c) -1/4 b Let g = 675 + -2026/3. Let w be ((-26)/6)/(2/6). Let a = -8 - w. What is the nearest to g in -0.2, a, 0.5? -0.2 Let z be -1 + 3 + (-14)/6. Let v be 6/4*(300/(-45) - -4). Which is the nearest to z? (a) v (b) -5 (c) -0.4 c Let d be 6/(-9)*(-18)/24. Let h be ((-1)/(-4))/((-5)/(-16)). What is the closest to -2/9 in h, 4, d? d Let f be ((-2)/(-10))/(2/5). Suppose a + 3*z = -21, a = 2*a - 2*z - 19. What is the nearest to 1 in -1/6, a, f? f Let g be 70/(-16) - 39/(-104). What is the closest to 36 in 1, g, 5, -3? 5 Let x be 6*(-1)/(-8) + 4 + -5. Let h = 2.6 + -19.6. Let q = 12 + h. Which is the closest to x? (a) q (b) -2 (c) -0.1 c Let z = -31.065 - -0.065. Let p = 33 + z. Which is the closest to 11? (a) p (b) 0.4 (c) -2/15 a Let v(w) = w. Let o be v(-4). Suppose -x = -3*x + 4*k + 2, -2*k = x + 3. Let y = -6 - -3. Which is the nearest to 0.3? (a) y (b) x (c) o b Let t = 2 + -4. Let h = 6 - 4. Let o = -8/13 + -12/65. Which is the closest to -2? (a) o (b) t (c) h b Let u = -57 + 103. Let o = u - 46. Which is the nearest to 5? (a) 5 (b) o (c) -2/9 a Let s be (-1 - 1)/(8/(-20)). Let g = -3 + 13. Suppose g = w + 4*w. Which is the closest to 1.5? (a) -0.5 (b) s (c) w c Suppose 5*p - 506 = 3*u, -u - 250 = 3*p - 58. Let f = u + 883/5. Which is the closest to 0.5? (a) f (b) -2/15 (c) -2 b Let d = -3.9984 - 0.0016. What is the nearest to 3 in 0, d, -5/8? 0 Let h = 46 + -136/3. Let u be 2 + ((-200)/(-5))/8. What is the nearest to h in -2/3, u, -5? -2/3 Suppose 34*g - 32*g = 76. Let f = g + -34. Which is the closest to -0.1? (a) 1 (b) f (c) 3 a Let t = -1583/6364 - 2/1591. Which is the nearest to -2? (a) 14/5 (b) 0.3 (c) t c Let z = -8.2 - -4.3. Let d = 1.1 - z. Let t be (-8)/(-20) + 2/20. Which is the closest to -0.2? (a) d (b) -3 (c) t c Let x = -0.9 - -1.9. Suppose 0 = -0*i - 4*i - 20. Let l(f) = f + 6. Let m be l(i). What is the nearest to x in m, -2/19, 8? m Let u = 183 + -183.2. Which is the closest to u? (a) 0.1 (b) 0.2 (c) -0.12 c Let v be (7 - (-306)/(-45))/((-3)/(-10)). Which is the nearest to 0.1? (a) v (b) 3/10 (c) 2 (d) -0.5 b Let h = 1298 - 1299. Let w = 11 + -7. Let l = 3.04 + -0.04. Which is the nearest to h? (a) l (b) w (c) 0.2 c Let f = -0.6 - -1. Let v = -311 - -4045/13. What is the nearest to 1 in -0.2, v, f? f Let n = 15 + -15. Let a = -1.4 - n. Let v = a - -6.4. What is the closest to 2/7 in v, 3, 0.1? 0.1 Let w be 2*2/1*5/(-15). Let s = -4 - -4.1. What is the closest to s in 2/11, w, 3? 2/11 Let h = -0.155 - -0.055. What is the closest to -2/27 in 0.1, h, -4/5? h Let r be -3 + 18/10 + 1. Let v(n) = n**2 - 21*n + 77. Let l be v(16). Let q = 0.5 - 0.5. Which is the nearest to q? (a) l (b) -2 (c) r c Suppose -5*t = -2*f + 3, -5*f + 6 = 2*t - 16. Suppose -6 = -2*p + 2*g, -g - 5 = -3*p + f*g. What is the closest to 12/7 in p, -1/3, -2? -1/3 Let d = -29 - -28. Let x = 20.4 - 16.4. What is the nearest to -5 in x, 1, d? d Let y = 43.14 - 48.14. Let d = -0.9 + 1. What is the closest to y in d, -1/5, 4? -1/5 Let q = -5.59 + 4.7. Let z = 0.11 - q. Let m = -2 + 3. What is the closest to m in 0.2, z, -3/5? z Let h = 48.3 - 48.2. Let o be 22/28 - 6/21. Which is the closest to o? (a) -0.06 (b) h (c) -4 b Let f = 55/18 + -14/9. Which is the nearest to 1? (a) 0.1 (b) -2/9 (c) f c Let r(t) = -t**2 - 8*t + 14. Let j be r(-12). Let u = 237/7 + j. Which is the closest to 0? (a) 0 (b) -0.4 (c) u a Suppose -3*k + 5*d - 18 = 0, -3*d = -d - 6. Let y = -0.07 + 0.17. Which is the nearest to -1? (a) k (b) y (c) 2 a Let r be 0*((4/8)/(-1) - -1). What is the closest to -1/2 in -0.3, r, 0.8? -0.3 Let k = -155 + 153.3. What is the closest to 2 in 0, k, -2/7? 0 Let d = 0.362 - 10.362. Which is the closest to -0.08? (a) d (b) 4 (c) -0.5 c Let u = 0.08 + 0.28. Let x = 0.02 + u. Let g = x + 0.62. Which is the nearest to 0? (a) g (b) -3 (c) 2/9 c Let s = 390/7 - 56. Let k be 1*(-2)/(-10)*-4. What is the nearest to -1/4 in k, 5, s? s Let z = 2 + -1.5. Let i = 2 + 3. Let g = 3451 - 3442. Which is the closest to 1? (a) z (b) g (c) i a Let z = -57 - -52. Let t be (5 + z)*-1 - (1 + 2). Let d be (-2)/(-4)*2 + -1. What is the nearest to d in 0.6, 0.4, t? 0.4 Let o = 3.2 - -40.8. Let b = o + -46. What is the nearest to 2/9 in -4, b, 4? b Let d = 72 + -65.1. Let o = 2.6 - d. Let z = o + 1.3. What is the closest to 0 in z, 0, 0.4? 0 Let w(q) = q**2 + 19*q - 30. Let j be w(-21). Let v be (-3)/4*8/j. What is the nearest to v in -3, -5, 1/14? 1/14 Let w = 183 + -183.4. Let z = 5/6 - 1/6. Let d = 1 - z. What is the closest to d in 1/7, 1, w? 1/7 Let b = -363 - -363. What is the nearest to -2 in -1, b, 3/8? -1 Let m = -5 - -1. Let h = 736.042 - 735. Let l = h + -0.042. Which is the closest to 0? (a) m (b) l (c) -1/9 c Let j be ((1/6)/(6/(-18)))/(-3). Let m = -13 + 6. Let r = m + 6.7. Which is the nearest to 0.2? (a) 2 (b) j (c) r b Let c(m) = m**3 - 6*m**2 - m + 6. Let t be c(6). Let u be ((-8)/(-18)*3)/((-18)/27). What is the closest to t in u, 1/5, 0.1? 0.1 Let v = -0.4 - 0.1. Let g = -526 - -525. Which is the nearest to g? (a) v (b) -0.4 (c) 1 a Suppose -2 = 5*l - 7. Suppose z - l = -4. Let u = -0.603 + 0.633. Which is the nearest to 0? (a) u (b) z (c) 2 a Suppose 0*q + 4*i - 24 = q, 5*q + 4*i = -168. Let o be 4/(q/(-20)) - 3. What is the closest to 3/2 in o, 1, 2/11? 1 Let u = 1.4 - -2.6. Let b = u - 3.7. What is the closest to 3 in 3/8, b, -3? 3/8 Let v = -0.105 - -0.115. Let g = v + 1.99. What is the nearest to g in -4, -0.2, -3? -0.2 Let l be (-156)/(-60) + (2 - 2) + -3. What is the closest to 1 in -2/9, -5, l? -2/9 Let p = -173.5 - -174. Let b = 0.2 + -5.2. What is the closest to 2 in b, 0, p? p Let n = -5.0255 - -0.0255. Let y = 5/7 - 2/7. Which is the closest to 2/3? (a) y (b) 0.1 (c) n a Let h = 19.6 - 20. Let q be ((-1)/(-3))/((-8)/(-6)). Let v = 645 - 1931/3. Which is the nearest to q? (a) -5 (b) h (c) v b Let o = 7 + -5. Let w be (20/8 + -4)*-14. Let g be 7/w - (-4)/(-18). Which is the nearest to -1/4? (a) g (b) o (c) 0.3 a Let w be ((-2)/7)/((-120)/55496). Let k = 132 - w. Which is the closest to 0.1? (a) -4 (b) -0.5 (c) k c Let a = -225.02 + 225. What is the nearest to -2 in -2/5, 0.3, -4/7, a? -4/7 Let h = 26 - 61. Let j = -35.1 - h. What is the closest to -1/7 in 5, -5, j? j Let p = 29.3 + -3.3. Let a = -28 + p. What is the closest to 1 in 0.06, a, -5? 0.06 Let y = -292/9 - 38/9. Let m = 37 + y. Which is the nearest to -2? (a) -1/7 (b) m (c) -0.2 c Let h = -25/12 + 11/6. Let d(u) = 3*u - 42. Let p(m) = 8*m**2 + 69*m - 13. Let n be p(-9). Let f be d(n). What is the closest to -0.1 in 1, h, f? f Let t = -0.1 - 0.9. Let i be (-2)/4*16/(-44). Let h(x) = -x**2 - 36*x + 81. Let z be h(-38). What is the closest to t in z, i, 3? i Suppose 0 = -4*a - 17*a. What is the closest to a in -4, 2, -1? -1 Let x = 0.03 - 0.43. Let m = 0.198 - 0.398. What is the closest to 1 in m, x, 1/9? 1/9 Let p = 96/407 - 2/37. Which is the closest to 2? (a) 4 (b) p (c) -0.1 b Let q be 26 + -18 + (-68)/8. Which is the closest to 20? (a) q (b) -6 (c) 4 c Let z = 258 + -256.69. Let s = -1.4 +
{ "pile_set_name": "DM Mathematics" }
a. -370310906 Find the second derivative of 11690182*r**2 + 744314*r wrt r. 23380364 Find the first derivative of 14630*h**4 + 1116*h**3 - 1039487645. 58520*h**3 + 3348*h**2 What is the first derivative of -3*c**2*o - 2*c**2*z - 7072*c**2 - 79469082*c*o*z + 6*c + 10*o wrt z? -2*c**2 - 79469082*c*o Find the second derivative of 1957*d**3 - 462*d**2 - 5342870*d wrt d. 11742*d - 924 What is the derivative of 3116052*c**2 - 3*c + 908268 wrt c? 6232104*c - 3 Find the second derivative of -642990532*o**2 + 1519994351*o wrt o. -1285981064 Differentiate 59*x**4 + 2*x**3 - 824*x**2 - 3*x + 22023294 wrt x. 236*x**3 + 6*x**2 - 1648*x - 3 What is the first derivative of 2*i**2*l - 66443*i**2 + 39*i*l + 9862221*l - 6 wrt i? 4*i*l - 132886*i + 39*l Find the second derivative of -14558540*w**2 + 5*w + 200808 wrt w. -29117080 What is the derivative of -253594*o**3*t**3 - 231*o**2*t**3 + t**3 + 473*t**2 + 56533*t - 2 wrt o? -760782*o**2*t**3 - 462*o*t**3 Find the third derivative of -129655264*n**3 + 660119148*n**2 - 1 wrt n. -777931584 Find the third derivative of 9971196*r**3 - r**2 - 20889235. 59827176 What is the second derivative of 297846307*v**2 + 134483661*v wrt v? 595692614 What is the third derivative of 9498689*d**3 + 20*d**2 + 11034*d - 2? 56992134 Find the second derivative of 7991*m**2*v - 435*m**2 + 17528556*m*v wrt m. 15982*v - 870 What is the derivative of 83*b**2*i*v**2 - 2*b**2*i - 3270461*b**2*v - 372*b**2 + b*i + 2*b + 100*i - 5 wrt v? 166*b**2*i*v - 3270461*b**2 Find the first derivative of 7975722*k**2 + 3041971 wrt k. 15951444*k Find the second derivative of -927*g**2*r**2 + 289*g**2 - 122*g*r - 1623*r**3 - 37*r wrt r. -1854*g**2 - 9738*r Find the first derivative of -28705997*k - 11218467 wrt k. -28705997 Find the third derivative of 4611943*b*u**4 - 32871*b*u + u**2 wrt u. 110686632*b*u Find the second derivative of -1872331*m**5*v - 19*m**2*v - 4977*m*v + 1841*m - 2*v + 1 wrt m. -37446620*m**3*v - 38*v Find the third derivative of -8880462*o**3 + 26*o**2 - 11910*o. -53282772 Find the third derivative of 35*f**6 + 137029*f**3 - 7*f**2 - f - 28892 wrt f. 4200*f**3 + 822174 What is the second derivative of -70*n**3*p**2 - 42*n**3*p - n**2*p**2 - 47981*n*p - 6044*p**2 wrt p? -140*n**3 - 2*n**2 - 12088 Find the second derivative of -t**4 - 1642490*t**3 - 5*t**2 + 14848683*t - 2 wrt t. -12*t**2 - 9854940*t - 10 What is the third derivative of -600851*y**6 + 10*y**4 - 16556398*y**2? -72102120*y**3 + 240*y Find the second derivative of 3*k**2*p**2 + 67*k**2*p + 2*k**2 - 5833027*k*p**2 - 16*k*p - 86*k + p**2 - 16*p wrt p. 6*k**2 - 11666054*k + 2 Find the third derivative of 1104875*d**5 - 5*d**3 - 184*d**2 + 16*d - 1132. 66292500*d**2 - 30 What is the third derivative of 112819453*s**3 - 128752483*s**2 wrt s? 676916718 Find the third derivative of 119*w**4 + 2061320*w**3 - 1323972771*w**2. 2856*w + 12367920 Find the second derivative of 4281*y**4 + 5*y**3 + 11*y**2 - 5618864*y wrt y. 51372*y**2 + 30*y + 22 What is the third derivative of 127230*b**4 - b**3 - 390131*b**2 - 3? 3053520*b - 6 What is the second derivative of 146*j**3 + 225835*j**2 + 10*j + 17349875 wrt j? 876*j + 451670 Find the third derivative of -21936386*k**4 + 84442937*k**2. -526473264*k Differentiate 55*f**3 - 905421*f**2 + 133839588 wrt f. 165*f**2 - 1810842*f Find the second derivative of 5401*b**4 - 2*b**3*y + 36*b**2*y + 5290*b*y + b + 348 wrt b. 64812*b**2 - 12*b*y + 72*y Find the second derivative of -139160*u**3*w**2 + 4*u**3*w - 2*u**2*w + 44*u**2 - 112*u*w**2 - 2*u*w - 2*w - 5031 wrt w. -278320*u**3 - 224*u Find the second derivative of -10034149*u**3 + 25890414*u wrt u. -60204894*u Differentiate -11196427*f**2*x + 10426*x - 113 wrt f. -22392854*f*x What is the first derivative of 798*o**2 + 771*o - 10782412 wrt o? 1596*o + 771 What is the second derivative of -9404240*f**2 - 25*f - 281598 wrt f? -18808480 Find the third derivative of 22311503*t**4 - t**2 + 54970*t - 4 wrt t. 535476072*t What is the first derivative of -6703618*v**2 - 6808160 wrt v? -13407236*v What is the second derivative of -6*f*y**4 + 16*f*y**3 - 53*f*y - 13*f + 15221*y**3 - y + 644 wrt y? -72*f*y**2 + 96*f*y + 91326*y Find the third derivative of 674706*q**5 - 488*q**2 + 13*q - 11. 40482360*q**2 Find the second derivative of -5*f**5*q - 2586896*f**2*q**2 - f*q**2 + 2*f*q + 21*f - 39657*q - 2 wrt f. -100*f**3*q - 5173792*q**2 Differentiate -14*i*o*w**2 + 41*i*w**3 + 2252*i*w + 34944*o**2 - 91*o*w**3 + 2*w**3 + 7 with respect to o. -14*i*w**2 + 69888*o - 91*w**3 What is the first derivative of -255173*h**3 - 2*h - 2431457? -765519*h**2 - 2 What is the third derivative of h**5 + 272*h**4 + 28832*h**3 - 413657984*h**2 - 2*h? 60*h**2 + 6528*h + 172992 Differentiate -13982782*l**2 - 30009303 with respect to l. -27965564*l Find the second derivative of -217635*a**3 - 7*a**2 + a + 441496 wrt a. -1305810*a - 14 What is the derivative of 20411860*w + 5083714 wrt w? 20411860 Find the third derivative of -84*n**6 + 33*n**4 + 1026*n**3 + 6*n**2 + 17*n - 4003 wrt n. -10080*n**3 + 792*n + 6156 Differentiate 17037557*k*y + 2578590*y with respect to k. 17037557*y Find the second derivative of -4925*g**3 + 775*g**2 + 26399722*g. -29550*g + 1550 Find the second derivative of -1019334124*o**2 + 114990633*o. -2038668248 Find the third derivative of 71*o*x**4 + 42573752*o*x**2 + 2*o*x + 509750*x**4 wrt x. 1704*o*x + 12234000*x What is the second derivative of -77370*z**5 - 480*z**4 + 3522511*z - 6 wrt z? -1547400*z**3 - 5760*z**2 Differentiate -6089503*y - 8756644. -6089503 Find the third derivative of -705326317*k**6 - 64914558*k**2 wrt k. -84639158040*k**3 Find the third derivative of 25131485*i**3 - 73443001*i**2 wrt i. 150788910 Find the second derivative of -248314*r**4 + 3*r**3 - 173*r**2 + r + 67326215 wrt r. -2979768*r**2 + 18*r - 346 Find the second derivative of 41*m**2*y**3 + 39*m**2*y**2 + 2*m**2*y + 2381*m**2 + 49*m*y**3 - m + 9*y**3 - 295*y wrt m. 82*y**3 + 78*y**2 + 4*y + 4762 Differentiate -9101*f**2*m**3 - 53*f*m**3 + m**3 - 1037*m**2 + 2*m - 1129 wrt f. -18202*f*m**3 - 53*m**3 Find the second derivative of -n*o**2*v + 9*n*o**2 - 108*n*o + 39*n*v - 2388*n - 1608*o**2*v - 9*o**2 wrt o. -2*n*v + 18*n - 3216*v - 18 What is the second derivative of -9362475*j**3*q**3 - 20*j*q**3 - 3*j*q**2 - 6*j*q - 2*j + 49*q**3 wrt j? -56174850*j*q**3 Find the second derivative of -17*n*u**2*w + 3*n*u*w - 92189*n + 43432*u**2*w - 2*u - 5*w wrt u. -34*n*w + 86864*w Differentiate 4*j**2*p + 2199846*j*p + 2384740*p wrt j. 8*j*p + 2199846*p What is the derivative of -40833*l*n**2 - 23*l*n - 9*l + 35284201*n**2 wrt l? -40833*n**2 - 23*n - 9 Find the third derivative of 60*s**5 - 17*s**4 + 12298*s**3 + 17552*s**2 + 12*s - 63. 3600*s**2 - 408*s + 73788 What is the third derivative of -10959264*p**3*t**2 + p**3*t + 403*p**2*t**2 + p**2*t + 77*p**2 - 2*p*t wrt p? -65755584*t**2 + 6*t Find the second derivative of 76922903*b**5 + 2891113*b wrt b. 1538458060*b**3 Find the second derivative of -2768677*f**3*r - f**2*r**2 + 9*f*r**2 + f*r - 105*f + 1 wrt f. -16612062*f*r - 2*r**2 Find the third derivative of -3265728*y**4 + 5511819*y**2 wrt y. -78377472*y Find the first derivative of 1034*c*q**2*s - 24091*c*q*s**3 - 3*q**2*s**3 - 4245*q**2*s**2 - 2*q*s**2 - 83*s**2 wrt c. 1034*q**2*s - 24091*q*s**3 Differentiate 217787545*o - 170205206. 217787545 Differentiate 122*b**2*x*z + 139*b**2*z + 2317*b**2 + 3121449*b*x*z + b*z + 3*b - 7*z wrt x. 122*b**2*z + 3121449*b*z What is the second derivative of -15*v*w**2 - 14965*v*w + v + 419763*w**2 - 208 wrt w? -30*v + 839526 What is the second derivative of 20369856*n**3 - 36128979*n - 2 wrt n? 122219136*n What is the first derivative of 136692796*c + 172959457 wrt c? 136692796 What is the second derivative of 698*b**3*c**2 - 330*b**3*c + 177*b**3 - 2*b*c - 224042*c**2 + 28 wrt c? 1396*b**3 - 448084 What is the second derivative of 18135076*h**2 - 35696247*h wrt h? 36270152 What is the third derivative of -6157370*g**3*o**2*y + 16170*g**2*o**2*y + 3*g**2*o + 2*g**2*y + g*o**2*y - 2*g*o**2 wrt g? -36944220*o**2*y What is the third derivative of 6327109*s**6 - 1109*s**2 + 2*s - 352? 759253080*s**3 What is the second derivative of -265*k*r**2 + k*r + k + 2341*r**2 + 7*r + 2086 wrt r? -530*k
{ "pile_set_name": "DM Mathematics" }
107 minutes before 9:15 AM? 7:28 AM What is 103 minutes after 8:40 AM? 10:23 AM What is 448 minutes after 4:10 PM? 11:38 PM What is 142 minutes after 4:26 AM? 6:48 AM What is 398 minutes after 2:36 PM? 9:14 PM How many minutes are there between 5:26 PM and 4:28 AM? 662 What is 260 minutes after 3:37 PM? 7:57 PM What is 634 minutes before 3:43 AM? 5:09 PM How many minutes are there between 4:36 AM and 3:04 PM? 628 How many minutes are there between 3:51 AM and 7:05 AM? 194 What is 496 minutes after 11:53 PM? 8:09 AM How many minutes are there between 1:19 AM and 9:09 AM? 470 How many minutes are there between 10:04 PM and 6:32 AM? 508 How many minutes are there between 10:31 AM and 10:10 PM? 699 How many minutes are there between 9:45 AM and 7:50 PM? 605 What is 400 minutes before 5:40 PM? 11:00 AM How many minutes are there between 6:53 AM and 4:31 PM? 578 What is 398 minutes before 5:26 AM? 10:48 PM What is 646 minutes before 10:56 PM? 12:10 PM What is 697 minutes before 6:18 PM? 6:41 AM What is 502 minutes after 2:05 AM? 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175 How many minutes are there between 11:18 PM and 2:32 AM? 194 How many minutes are there between 1:22 AM and 5:42 AM? 260 How many minutes are there between 10:09 AM and 2:39 PM? 270 What is 588 minutes before 8:09 AM? 10:21 PM What is 238 minutes after 9:27 PM? 1:25 AM What is 424 minutes after 3:30 PM? 10:34 PM How many minutes are there between 11:29 PM and 7:42 AM? 493 How many minutes are there between 1:25 AM and 4:17 AM? 172 What is 692 minutes before 9:31 AM? 9:59 PM How many minutes are there between 10:04 PM and 4:50 AM? 406 What is 19 minutes after 9:15 AM? 9:34 AM How many minutes are there between 2:53 AM and 10:36 AM? 463 What is 202 minutes after 4:01 PM? 7:23 PM How many minutes are there between 6:00 PM and 4:57 AM? 657 How many minutes are there between 6:51 AM and 6:11 PM? 680 What is 661 minutes after 9:27 AM? 8:28 PM How many minutes are there between 2:08 AM and 8:03 AM? 355 What is 128 minutes after 1:19 PM? 3:27 PM How many minutes are there between 7:33 PM and 5:44 AM? 611 How many minutes are there between 12:11 PM and 11:40 PM? 689 How many minutes are there between 10:14 AM and 3:51 PM? 337 How many minutes are there between 11:28 PM and 10:47 AM? 679 How many minutes are there between 11:54 PM and 12:29 AM? 35 How many minutes are there between 5:15 PM and 1:36 AM? 501 What is 689 minutes before 5:30 PM? 6:01 AM What is 709 minutes before 1:17 PM? 1:28 AM How many minutes are there between 3:46 AM and 10:34 AM? 408 How many minutes are there between 6:24 AM and 9:28 AM? 184 How many minutes are there between 8:19 PM and 11:06 PM? 167 What is 264 minutes after 6:41 PM? 11:05 PM What is 231 minutes before 8:22 PM? 4:31 PM How many minutes are there between 10:59 PM and 9:15 AM? 616 What is 609 minutes after 12:18 AM? 10:27 AM How many minutes are there between 6:52 PM and 6:35 AM? 703 What is 558 minutes after 3:43 PM? 1:01 AM How many minutes are there between 11:30 PM and 6:28 AM? 418 What is 111 minutes before 7:54 PM? 6:03 PM How many minutes are there between 6:53 PM and 5:37 AM? 644 How many minutes are there between 2:20 AM and 5:13 AM? 173 What is 623 minutes after 7:06 PM? 5:29 AM How many minutes are there between 8:56 PM and 1:45 AM? 289 What is 644 minutes after 3:13 PM? 1:57 AM What is 51 minutes before 5:41 PM? 4:50 PM What is 244 minutes after 8:51 AM? 12:55 PM What is 374 minutes after 9:08 AM? 3:22 PM What is 458 minutes before 6:56 PM? 11:18 AM What is 60 minutes after 7:26 PM? 8:26 PM How many minutes are there between 11:07 AM and 7:30 PM? 503 How many minutes are there between 11:37 PM and 3:50 AM? 253 What is 203 minutes after 2:50 PM? 6:13 PM What is 310 minutes after 7:49 PM? 12:59 AM What is 685 minutes after 2:03 AM? 1:28 PM What is 543 minutes before 5:51 PM? 8:48 AM How many minutes are there between 7:40 PM and 7:20 AM? 700 How many minutes are there between 8:50 AM and 6:20 PM? 570 How many minutes are there between 4:58 PM and 11:58 PM? 420 How many minutes are there between 8:39 AM and 8:09 PM? 690 How many minutes are there between 6:14 AM and 8:46 AM? 152 What is 173 minutes before 2:24 AM? 11:31 PM What is 410 minutes after 8:27 PM? 3:17 AM What is 644 minutes after 9:15 PM? 7:59 AM What is 156 minutes before 12:38 PM? 10:02 AM How many minutes are there between 9:14 AM and 7:25 PM? 611 What is 300 minutes after 1:34 PM? 6:34 PM How many minutes are there between 10:16 PM and 4:15 AM? 359 What is 62 minutes after 7:13 PM? 8:15 PM How many minutes are there between 8:05 PM and 4:27 AM? 502 How many minutes are there between 3:57 PM and 2:24 AM? 627 How many minutes are there between 9:25 AM and 2:53 PM? 328 How many minutes are there between 5:24 AM and 12:10 PM? 406 How many minutes are there between 11:10 AM and 7:35 PM? 505 How many minutes are there between 8:53 AM and 3:20 PM? 387 How many minutes are there between 7:10 PM and 9:44 PM? 154 How many minutes are there between 11:21 PM and 10:42 AM? 681 What is 141 minutes before 1:12 PM? 10:51 AM How many minutes are there between 6:38 AM and 12:49 PM? 371 How many minutes are there between 8:44 PM and 4:34 AM? 470 How many minutes are there between 10:34 PM and 7:01 AM? 507 How many minutes are there between 9:14 PM and 4:24 AM? 430 How many minutes are there between 10:14 PM and 3:59 AM? 345 How many minutes are there between 10:59 PM and 12:16 AM? 77 What is 291 minutes after 7:02 PM? 11:53 PM What is 321 minutes before 7:32 PM? 2:11 PM How many minutes are there between 8:27 AM and 3:37 PM? 430 How many minutes are there between 2:34 PM and 10:11 PM? 457 How many minutes are there between 5:18 AM and 3:25 PM? 607 How many minutes are there between 12:56 AM and 4:52 AM? 236 How many minutes are there between 7:12 PM and 2:48 AM? 456 What is 525 minutes before 8:46 AM? 12:01 AM What is 249 minutes before 2:03 PM? 9:54 AM What is 158 minutes before 11:18 PM? 8:40 PM How many minutes are there between 2:40 AM and 2:59 AM? 19 How many minutes are there between 8:36 AM and 6:41 PM? 605 What is 238 minutes after 2:05 AM? 6:03 AM What is 328 minutes before 11:43 AM? 6:15 AM How many minutes are there between 3:12 AM and 5:44 AM? 152 How many minutes are there between 10:53 AM and 4:14 PM? 321 How many minutes are there between 2:49 AM and 2:53 AM? 4 How many minutes are there between 3:31 AM and 12:08 PM? 517 How many minutes are there between 1:43 PM and 7:50 PM? 367 What is 89 minutes before 11:29 AM? 10:00 AM What is 624 minutes after 6:30 PM? 4:54 AM What is 388 minutes before 1:02 AM? 6:34 PM How many minutes are there between 7:50 AM and 6:20 PM? 630 What is 293 minutes before 8:08 AM? 3:15 AM How many minutes are there between 1:30 AM and 11:39 AM? 609 How many minutes are there between 4:30 AM and 2:55 PM? 625 What is 260 minutes after 11:17 AM? 3:37 PM How many minutes are there between 10:05 AM and 10:09 AM? 4 What is 328 minutes after 12:47 AM? 6:15 AM How many minutes are there between 10:12 PM and 3:07 AM? 295 What is 14 minutes before 1:51 AM? 1:37 AM What is 127 minutes after 7:30 AM? 9:37 AM How many minutes are there between 9:07 PM and 4:45 AM? 458 What is 204 minutes before 8:33 PM? 5:09 PM How many min
{ "pile_set_name": "DM Mathematics" }
-1 - 5). -12 Evaluate -5 + -2 - -8 - 5 - (-1 + -1). -2 What is (0 - -1) + (9 + 4 + -14 - 2)? -2 Calculate -2 - (15 + -1 + (2 - 4) + -2). -12 0 - 4 - (-13 + 17) -8 Evaluate -5 + -1 + 0 + 639 + -635. -2 -8 + 2 + (-11 - (-33 + -5)) 21 Calculate (-25 - -20) + (2 - -8) + -5 - -28. 28 Calculate -13 - (-7 - (4 + 2) - -7). -7 Evaluate 23 + -16 + -18 + 12. 1 Calculate -14 - (-12 - (5 - 11)). -8 24 + 0 - (-6 - -1 - (-47 + 38)) 20 Calculate (-3 + 3 - -1) + 1 - (32 - 30). 0 What is 20 - (29 + (6 - -6))? -21 Evaluate (-12 - 11 - -10) + 12 + 22. 21 (-17 - -42) + -20 - -3 8 What is the value of 4 - (9 - (7 + 4 - 5))? 1 Calculate 207 + -209 - (-2 - 2 - (1 - 3)). 0 (-7 - (-3 + 2) - -16) + -25 -15 Calculate -11 + (90 + -46 - (0 - 3)) + -3. 33 What is 23 + (-7 + -1 + 1 - 6)? 10 Calculate 61 - (-74 - -153) - (11 - 1). -28 What is (-4 - -29) + (-1 - (2 + -2 + 4))? 20 Evaluate (-2 - -21) + (-6 - (-34 - -17)). 30 What is the value of -2 + 4 + -1 - (4 - (-19 - -12))? -10 -20 + (-58 + 51 + -2 + 2 - -12) -15 Calculate (40 - -48) + -72 - (1 + 39). -24 Calculate 23 + 1 - -4 - 20. 8 -36 + 24 + (5 - -1) - 2 -8 (12 - 7) + 6 - ((-4 - -8) + -1) 8 What is the value of (0 - -3) + (109 - 120 - (-1 - 4))? -3 Calculate -1 + 0 + (2 - 25) + -26 + 22. -28 What is (0 - 13) + (75 - 83)? -21 -129 - -136 - (-3 - -6 - 3) 7 -2 - (-2 + (10 + -3 - 25 - 6)) 24 Evaluate 1 + (7 - 11) - (-4 - -1) - -12. 12 What is the value of 4 + -8 + -1 - (22 - (9 - -5))? -13 Calculate 0 + -3 + -24 + 35. 8 Calculate -12 - (10 - (16 + 22)). 16 What is (-1 + -13 - -1) + -15 + 16? -12 What is the value of -2 + (16 - (-5 - -12))? 7 Evaluate -335 - -318 - ((-1 - 0) + -12). -4 2 - (-5 - (-8 - (6 - (21 - 8)))) 6 What is the value of 0 + (0 + 1 + 2 - 6) + -2? -5 What is 18 - ((8 - 12) + 5 + 2)? 15 What is -9 - (9 + -1 + -133 + 124)? -8 (8 - 35) + 34 - -1 8 Evaluate 5 + (3 + (8 - -1) - 7) + 0. 10 What is the value of 137 + -126 + -35 + (-3 - 1)? -28 13 - (2 - -12) - -17 16 (21 - 0 - -9) + -5 25 -13 + 25 + -14 - -25 23 Calculate 16 + 1 + -4 + (-65 - -48). -4 Evaluate (-9 - 3 - -10) + -7. -9 Evaluate (1 - (-1 + 16)) + 1208 + -1183. 11 What is (13 - (-21 + 8 + 51)) + 7? -18 Calculate -10 + 13 - (-18 + 17) - 13. -9 Evaluate -20 - 13 - -12 - -13 - -14. 6 What is the value of (0 - -3) + (-7 - (-25 + 31))? -10 What is -2 + -6 - (6 - (-3 - (5 + -8)))? -14 Evaluate -111 + 46 + 59 + (-11 - 1). -18 What is the value of ((6 - 11) + 3 - 0) + -13 + 2? -13 (-7 + 0 - -3) + 15 + (20 - 44) -13 Calculate (15 - (3 + 7)) + -1 - 8. -4 -6 - ((4 - 0) + (-1 - (-17 + 24))) -2 What is -43 + 39 - (7 - -20)? -31 Evaluate (113 - 126) + -5 + -3. -21 What is -1 + -8 + (-7 + 6 + 11 - 5)? -4 Calculate -14 + 71 - 35 - 36. -14 (-2 - -5) + -2 + 0 + -263 + 270 8 Calculate -10 + 6 + 2 + 6 + -6. -2 5 + (-1 + 9 - (-21 - -21)) 13 Evaluate -5 + 0 - -12 - -1 - -11. 19 What is 29 - (-29 + 81 + -11)? -12 Evaluate (1 - 8) + 80 + -80 + 0 + 15. 8 Calculate -16 + 13 - (17 - 4). -16 Calculate -2 + -11 + 2 - (-24 - -6). 7 What is -5 + -1 + -12 - -14? -4 What is the value of -10 + 20 + 18 + -3? 25 What is -20 + (-6 + (11 + 6 - 3) - 6)? -18 Evaluate 8 + (-4 - ((11 - 12) + -2) - -10). 17 Evaluate (4 - (3 - 9)) + (-2 - 9). -1 -48 + 25 + 56 + -63 -30 What is the value of -9 + (-11 - (-16 - 4)) - -25? 25 Calculate -5 + (3 - 0) - (-41 + 27). 12 What is the value of -62 + 59 + (3 + (3 - 1) - -5)? 7 -12 - (13 + (13 - 22)) - -17 1 20 + (1 - (-6 - -23)) 4 Evaluate 349 - 370 - (1 - 3) - -13. -6 What is the value of (0 - -1) + 5 + -503 + 489? -8 What is the value of 7 - (0 - 18 - -19)? 6 0 + 0 + -1 + -98 + 187 + -79 9 What is the value of -1 - 1 - (276 - 284)? 6 What is the value of -4 - (-14 + 19) - (-28 + 0 + 3)? 16 Evaluate (27 + -29 - 23) + 5. -20 Evaluate 15 + -5 + -7 + 7. 10 Evaluate -4 + 1 + (-4 - -14) - 29. -22 What is 19 - (-20 + 34) - 41? -36 What is 4 + 1 + -9 - -7 - 6? -3 What is -15 - -33 - ((-7 - -8) + -3)? 20 -5 + (-12 - 7) + 7 - -3 -14 (8 - (20 + 3)) + (4 - -7) -4 -12 - (5 + 3 + (-25 - -9)) -4 0 + (-1 - -3) - (3 - (6 + -10)) -5 What is -24 + 15 + -11 - (0 - (-4 + 8))? -16 7 + (-3 + 1 - 1 - (7 - 14)) 11 What is the value of 2 + -4 + (-2 - 4) + 13? 5 Calculate -67 + 77 - (7 - (-7 + -10)). -14 What is (-4 - 0 - (-1 - 10)) + (6 - 2)? 11 What is the value of 5 - -4 - 31 - (-4 + -2 + -2)? -14 What is the value of -5 + (-9 + (5 - 0) - -13)? 4 Evaluate -3 + (-21 - -13) + -3 - -11. -3 Calculate -33 + (17 - 0 - -1). -15 -32 - (14 - (-27 + 54)) -19 What is -4 + (-13 - -4) - -10? -3 35 + -6 + (-2 - 46) -19 Calculate 7 + -31 + 8 + 20. 4 Calculate -7 + (-58 - -70) + (2 + -22 - -2). -13 Calculate 22 - -3 - 1 - (14 + -1). 11 Evaluate 7 - 21 - (22 + -25). -11 Evaluate -3 + -19 + 28 - (-1 - -10). -3 (-7 - -1) + -1 - (0 - -1) - -6 -2 0 + 2 + -1 + 2 + 7 + 5 15 Evaluate 31 + 21 + -38 + 2. 16 What is the value of 22 + 2 - ((-7 + 23 - 33) + 24)? 17 3 + (-6 - (17 - 11)) -9 What is the value of (-48 - -23 - -27) + 18? 20 What is the value of 0 - 2 - -23 - (-38 - (5 + -51))? 13 Calculate -1 + 1 - ((-7 - -52) + -71). 26 What is the value of -1 - (2 + 3 + 0) - (-7 + -1)? 2 (-1 - (-11 + 18)) + 2 -6 Evaluate -273 - -261 - (3 - (2 - 4)). -17 4 - (9 - (6 - -19)) 20 What is 0 + -3 - 0 - (-70 + 91)? -24 Calculate -17 + (2 - -6 - (14 + -16)). -7 What is 40 - (51 + -9 + -30)? 28 3 + (7 - (2 - 3) - 5) + -4 2 Evaluate 0 - (-43 + 26 + 30). -13 What is the value of 39 + (-41 - 15) - -25? 8 What is (-19 - (12 + -8 + 6)) + 0 + -8? -37 (-3 - 1) + 7 + 1 + -5 + 12 11 What is 5 + (-3 + 3 - (19 - (-5 - -8)))? -11 (-10 + -7 - (-2 - 11)) + (-12 - -2) -14 Evaluate -19 - -28 - (0 - 10) - 8. 11 Calculate 2 - 8 - -12 - (13 + 2 + -8). -1 What is the value of -6 + 14 + -33 + 14? -11 Calculate -8 + -22 - (0 + -5 - 6). -19 What is the value of -19 - (4 - (9 + (21 - -5)))? 12 What is 90 - 72 - (0 + 4 + 0 + 2)? 12 What is the value of 0 + 5 - ((-18 - -7) + 4 + 14)? -2 What is the value of (0 - 5) + (-1 - -4) - (3 - 7)? 2 Evaluate -7 + (4 - (-1 + 6 - (-7 - -11))). -4 What is the value of 3 - (3 - (0 - -15) - (-4 - -3))? 14 What is the value of (34 - 37 - 13) + -8? -24 63 - (27 + -13 + 2) - 15 32 -3 + -4 - (-1 + 2 - (4 + -5)) -9 What is the value of -6 + (5 - -3 - 11) - 1? -10 Evaluate (11 - (13 - (-13 + 12))) + 0 + 0. -3 -32 + (10 - 4 - -3) + 7 -16 Calculate 1 + (34 - (-10 - -33)). 12 Calculate 19 + -2 - (5 - (-3 + -6 - -10)). 13 Evaluate 9 + 19 + (17 - 51). -6 11 + (2 - -11) + (5 - 6) + 4 27 What is (0 - -1) + 6 + -15 + 1? -7 What is the value of -30 + -15 + 33 + (9 - 10)? -13 What is the value of 10 + -1 + -273 + 254 - 2? -12 Evaluate 12 - ((6 - -8) + 6). -8 (7 + 3 - (20 - 10)) + (-2 - -10) 8 -4 + 1 + (2 - 23 - (29 + -27)) -26 6 + -14 + 22 + -15 -1 Evaluate -3 + -3 + -4 + 7 - 4. -7 What is -63 + 41 - (23 - 9)? -36 What is the value of 3 + 7 - -1 - (3 - 12 - -15)? 5 What is the value of 4 + 0 + -4 + 9 + -6 - 31? -28 -2 + -17 - ((-1 - 15) + 22 + -14) -11 35 + 3 + -33 - 7 -2 What is 18 + 34 + -27 - (1 + (5 - -2))? 17 Calculate -10 + 3 - (4 + -5 + 2 + -4). -4 What is the value of -16 + (15 - 29 - -40)? 10 Calculate (5 - (7 + -8)) + (2 - 3 - 0). 5 Calculate 7 + (20 + (-20 - -8) - -13). 28 Evaluate 7 + -5 + -4 - (0 + 9). -11 What is the value of -51 + (-24 - -32) + (2 - -9)? -32 What is 13 + -15 + -2 + 4? 0 What is the value of -12 - (-1 - 0) - (-14 + 72 + -48)? -21 Calculate 5 + 5 + -18 + (4 - -5) + -4. -3 (-2 - -3) + (4 - 7) + (-120 - -125) 3 9 - (-16 + 19 + -10 + 11) 5 Calculate (4 - 2) + 3 + -32 + -40 + 81. 14 Calculate 10 - 0 - (30 + -19). -1 Evaluate -17 - (-65 - -63 - (4 - (0 - -3))). -14 What is the value of (1 - 17) + 7 - -39? 30 20 - (12 - (17 + -18)) 7 Evaluate -7 + -6 + -19 + 16 + 16. 0 Evaluate 21 - 41 - -36 - (44 + 1). -29 2 + 5 - 17 - 1 -11 Evaluate 23 - (-6 - (-23 - -3)). 9 What is the value of (-22 - -47 - (8 + -1)) + -27? -9 47 + (-61 - -38) + -36 -12 Evaluate -29 - (-10 + -31) - (-2 + -1). 15 -3 - (0 + (-3 - -8) + 1) - -31 22 What is the value of (-3 - (-13 + 3 + -1) - 2) + -3? 3 Evaluate 14 + (-5 - -1) + 0. 10 What is 28 + -24 + 28 + (-6 - 8)? 18 -4 + 6 + -2 + 9 - -7 16 (14 - (1 - (-11 - -11))) + -36 -23 What is the value of 196 + -187 + -2 + 1? 8 Calculate 6 - (271 - 247 - (2 - 0)). -16 Evaluate -4 + 0 + (-1 - (-9 + 4 + 1)). -1 What is -6 - 1 - ((15 - 8) + 1 + 5)? -20 Calculate 1 + (-2 - (-4 - -7) - 1).
{ "pile_set_name": "DM Mathematics" }
3 Suppose -115*d = -118*d + 45. Let v = 43 - -2. What is the highest common divisor of d and v? 15 Suppose 92*d - 115*d = -828. Suppose -47 + 1307 = 5*v. Calculate the highest common divisor of d and v. 36 Let o(j) = -762*j + 110. Let w be o(-1). What is the highest common factor of 109 and w? 109 Suppose 5*x + 1 = 16. Suppose x*n = 2*n - 3*j + 131, 0 = -j + 4. Let w = 460 - n. Calculate the greatest common divisor of w and 31. 31 Let q(d) = d**3 - 19*d**2 + 21*d + 41. Let r be q(18). What is the highest common divisor of r and 10? 5 Suppose 0 = 6*t - t - 230. What is the greatest common factor of 736 and t? 46 Let y(z) = -7*z + 10*z + 0*z - 26. Let s be y(9). What is the greatest common factor of 9 and s? 1 Let z be 17/2 + 15/(-10). Let h(l) = 3*l + 3. Let j be h(z). What is the highest common factor of j and 240? 24 Let u(l) = 8*l**3 - l**2 - l + 1. Let a be u(1). Suppose a*s + 16 = 128. What is the highest common divisor of 176 and s? 16 Let v = -5 + 12. Let k(n) = n**3 - 3*n - 2. Let c be k(2). Let i be 2 + 2 - 1*(-3 + c). Calculate the highest common factor of v and i. 7 Let o = -49 - -55. Suppose 0 = -2*b + 65 - 5. What is the highest common divisor of b and o? 6 Let g be (36/(-2))/(-6*(-1)/(-20)). Calculate the highest common factor of 30 and g. 30 Let g(m) = 7*m + 38. Let b be g(-6). Let w be (-4)/(-16) + (-83)/b. What is the highest common divisor of w and 21? 21 Let z be 15/(576/81 + -7). What is the greatest common divisor of z and 180? 45 Suppose 57*h - 47*h = 570. What is the greatest common factor of h and 6? 3 Let l = 289 - 267. Calculate the greatest common factor of 4 and l. 2 Let v be (3 - (2 + -2))*8/(-6). Let c be 2 - (232 - v/4)*-1. Calculate the highest common factor of 94 and c. 47 Let v = -11 - -9. Let t be 172 - ((-16)/v)/(-4). Let w be (-4)/(-22) + t/11. Calculate the highest common factor of w and 64. 16 Suppose 45*c + 30 = 48*c. Suppose q - 46 = -2*s, s + 12 = 5*s. Calculate the greatest common factor of c and q. 10 Suppose 5*m = 2*m + 2*r - 73, -4*m - 2*r - 74 = 0. Let f be 12/(2 + 2) - m. What is the highest common divisor of 40 and f? 8 Let h = -73 + 135. Suppose 4*i - 22 = h. Calculate the greatest common factor of 189 and i. 21 Let w(q) = -22*q - 8. Let g be w(-4). Let c(i) = i + 5. Let p be c(5). What is the greatest common factor of p and g? 10 Let d(x) = -x**3 - 10*x**2 - 25*x - 168. Let l be d(-11). Calculate the highest common divisor of l and 19. 19 Suppose 25*w + 72 = 21*w. Let i be (w/(-15))/(2/45). Calculate the greatest common divisor of 27 and i. 27 Suppose -2*y - w + 143 = 0, -4*y + 5 + 280 = 3*w. Calculate the highest common divisor of y and 112. 8 Let u(a) = 24*a**2 - 14*a. Let c be u(-4). What is the greatest common divisor of 40 and c? 40 Suppose 7*o + 155 = 659. Calculate the highest common factor of o and 24. 24 Let c = 50 + -86. Let x be (0 + -174)*(c/(-8) + -5). What is the highest common divisor of 29 and x? 29 Suppose 5*h - 2*c = 2378, 220*c = -4*h + 216*c + 1908. What is the greatest common divisor of h and 204? 68 Let s = -35 - -45. Suppose 0 = s*z - 8*z - 28. Calculate the highest common factor of 7 and z. 7 Suppose x = 5*n + 2*x + 534, -425 = 4*n + 3*x. Let y = 224 + n. What is the highest common divisor of y and 78? 39 Let v = 6 + 14. Let n = 104 - v. What is the greatest common divisor of 12 and n? 12 Suppose 2*o + 26 = 4*o. Suppose 0 = 2*k - 0*k + 18. Let l be (1 - 7)/(k/156). What is the highest common factor of l and o? 13 Suppose -z + 5*r = 6 + 13, 2*r = 10. What is the highest common divisor of z and 8? 2 Let k(l) = l**3 - l + 7. Let w be k(0). Calculate the highest common factor of 14 and w. 7 Let a(m) = 5*m**2 - 7*m + 6. Suppose -16 = -10*h + 2*h. Let y be a(h). What is the highest common divisor of 30 and y? 6 Suppose 4*t + 8*m - 11*m = 745, -3*m + 543 = 3*t. What is the highest common divisor of 69 and t? 23 Let u be 74 - (-5 + 4/1). What is the highest common divisor of 25 and u? 25 Let t(x) = 12*x. Let y be t(6). Let h be 375/12 + ((-9)/12)/(-1). Suppose 68 = 4*f + h. Calculate the greatest common factor of f and y. 9 Suppose 7*n + 2*n = 0. Let p(d) = -d**2 + 7. Let s be p(n). Let g(a) = a**2 - a - 6. Let t be g(5). What is the highest common divisor of s and t? 7 Let r = 3 - -1. Let n = 183 - 182. What is the greatest common divisor of r and n? 1 Suppose -86*v + 1692 = 402. Let k = 0 - 0. Suppose k = 3*j + 1 - 10. Calculate the highest common factor of j and v. 3 Let z be 28 + -24 + (-1 - 0)*-9. What is the highest common factor of z and 78? 13 Suppose 21*i = 17*i + 8. Suppose -4*o + 52 = 5*s, 2*o - i*s = -4*s + 24. What is the highest common divisor of 1 and o? 1 Let d(q) = 2*q**2 - 15*q - 26. Let t be d(10). Let v = 80 + -20. Calculate the highest common divisor of v and t. 12 Suppose -130*p - 256 = -134*p. Calculate the highest common factor of 8 and p. 8 Suppose -138 = -3*u + 759. Suppose x = d + 51 + 46, u = 3*x + d. Suppose 0 = -3*m + 174 + x. Calculate the highest common factor of 13 and m. 13 Let m be 2 + (0 - 2) + 46. Suppose 134*a - 146*a + 276 = 0. What is the highest common factor of a and m? 23 Let c = -66 + 137. Let m = -27 + c. Let z = 39 + -17. Calculate the greatest common divisor of m and z. 22 Suppose -v + 2*h + 3 = 0, 8*h - 4*h + 1 = v. Suppose -5*g - 9 = -34, -m = -v*g - 14. Let f = -21 - -34. Calculate the highest common factor of m and f. 13 Let n = 199 - -74. Suppose 461 + 163 = 16*x. Calculate the greatest common factor of n and x. 39 Suppose y = 12*y - 253. Calculate the greatest common factor of 667 and y. 23 Let w = 17 - 9. Suppose 0 = 2*n + 3*f - 0*f - 147, -f - 143 = -2*n. What is the greatest common factor of n and w? 8 Suppose -415*j + 419*j = 208. What is the greatest common divisor of 26 and j? 26 Let n(w) = -69*w + 450. Let l be n(6). Calculate the greatest common divisor of 972 and l. 36 Suppose r - 3*k - 85 = -3*r, -85 = -3*r - 2*k. Let h(n) = 9*n + 5. Let c be h(4). Let x = c - r. What is the greatest common factor of 48 and x? 16 Let n = 14 + -22. Let q = n - -23. Suppose q = -3*u, 0 = -3*o + 3*u + 2 + 19. What is the greatest common divisor of o and 14? 2 Suppose -5*m = -4*r - 445 + 1189, -3*m = -4*r + 736. Let b = r + -76. Let x(l) = 119*l - 461. Let q be x(4). What is the greatest common factor of b and q? 15 Let h(q) = -2*q**2 + 9*q + 16. Let k be h(6). Let u be k - 0 - (-138)/18*3. What is the highest common factor of u and 189? 21 Let z be (2 + -6)/((-6)/189). Suppose 19 = -3*p - 2. Let r(t) = -5*t - 21. Let i be r(p). Calculate the highest common divisor of i and z. 14 Suppose 3*m - 92 = -m. Let h = m - -2. Calculate the greatest common factor of h and 175. 25 Suppose -4*f - 54 = -f. Let v = f + 36. Suppose -2*k + 3*k - 3*d - 165 = 0, 805 = 5*k + 5*d. What is the greatest common factor of k and v? 18 Let z be 25/(-10)*-4*(-5)/(-2). Calculate the greatest common factor of 225 and z. 25 Let f be ((-28)/(-12))/(-7) + 7100/(-12). Let l be (f/84 - (-8)/(-28))*-9. Calculate the greatest common divisor of l and 6. 6 Let j be ((-408)/(-18)*1)/((-2)/(-30)). Calculate the highest common factor of j and 20. 20 Suppose -66 = -b - 51. Calculate the greatest common factor of 129 and b. 3 Let c = 6 + 4. Suppose -3*z + z + c = 0. Suppose 3*a + z - 44 = 0. Calculate the greatest common divisor of 13 and a. 13 Let b = -606 + 728. What is the greatest common divisor of b and 183? 61 Let r be (-4)/(-7) + (-34)/(-14). Suppose -2*n + 3*n = -5*b + 13, r*b - 18 = -4*n. What is the highest common factor of n and 3? 3 Let j be 51/(0 + (-2)/(-6)). What is the greatest common divisor of 68 and j? 17 Let v be 1*19 - (-65)/(-13) - -1. What is the greatest common factor of v and 255? 15 Let r(w) = -15 + 18 - 11 - w**2 - w. Let u be r(0). Let a = u - -50. Calculate the highest common divisor of 6 and a. 6 Suppose 81*l - 585 = 655 + 137. Let g be 17/3*1*15. What is the greatest common factor of l and g? 17 Let r be 92 + ((-2)/14 - 11/(-77)). What is the greatest common divisor of r and 1472? 92 Suppose -43*h - 286 = -45*h. Calculate the greatest common divisor of h and 22. 11 Suppose 7*r - 40 + 12 = 0. What is the highest common divisor of 20 and r? 4 Let j = 565 - 536. Let b(p) = -p**3 + 9*p**2 - 9*p + 4. Let u be b(6). Calculate the greatest common div
{ "pile_set_name": "DM Mathematics" }
d - 100. Let k be h(-18). Let g be (-123)/k + (-2)/(-4). Solve 0 = g*r + 3*q - 16, -5*r + 12 = -3*r + q for r. 5 Let z(b) = b + 1. Let w be z(2). Suppose 0 = -2*u + 7*u + 3*u. Let g(i) = 3*i**2 - 3*i + 5. Let x be g(u). Solve 7*o - x*l + 30 = 3*o, w*o = 5*l - 25 for o. -5 Let d = 6808 - 6804. Solve s + 5 = 2*h + 1, d*s - 6 = -3*h for h. 2 Suppose 28*q - 68*q + 45*q - 95 = 0. Solve -5*y - z = q, -3*z - 1 = -4 for y. -4 Let l = -11147 - -11151. Solve 0 = -l*f - j - 3 - 0, 5*f + 2 = -3*j for f. -1 Let a be ((-2)/(-12) + (-4)/24)/1. Suppose 8*k + 133 + 91 = a. Let n be (2/(k/(-21)))/(2/4). Solve 4*x = z - n*z - 22, -2*x - 3*z - 13 = 0 for x. -5 Let f(n) be the second derivative of 4*n**3/3 + 4*n**2 + 22*n. Let s be f(4). Suppose 25 = 13*m - s. Solve b - 4*l = 2*b - 11, 0 = -5*b - m*l + 25 for b. 3 Let j be ((-6)/(-27)*-12)/(4/(-6)). Let w be (-868)/(-16) - (-1)/(4*-1). Suppose w = 3*y - 0*y. Solve v + j*v + b = -y, -v = -b for v. -3 Let b be 35 + 1 + 208/(-26). Solve -9*x = -5*x + 4*r + b, 4*r + 35 = -5*x for x. -7 Let s(o) = 2*o**2 - 15*o + 21. Let a be s(7). Suppose 0*i + a*i = 42. Let q(d) = -d + 4. Let y be q(2). Solve 0 = -3*b - 2*c + y + 1, 24 = 5*b - i*c for b. 3 Suppose -8*v = -0 - 0. Let f be (-989)/(-115) + (v - (-2)/5). Solve -3*a = d + f + 3, -3*a + 4*d = -3 for a. -3 Let a = 838 - 1610. Let f = a + 789. Solve 3*y = -5*t + y - f, -3 = 3*y for t. -3 Let p = -366 - -530. Let q = p - 156. Solve 4*h = -5*m - 2, -4*m + 0*m - q = 0 for h. 2 Let a be (90/25)/(-1)*120/(-36). Solve -f = -5*s + 22, 7*s - a*s = -4*f - 13 for s. 5 Let s be (-5)/((-25)/(-20)) + 11 + 2. Let p be -1 + 1 + 3 - (s + -7). Solve -4*u - 3*a - 24 = p, 0 = -4*u - 4*a - 28 for u. -4 Suppose -96*o - 44*o - 1 = -281. Solve l + 2*n + 0 + o = 0, 4*n = 0 for l. -2 Suppose -4*b - 2*s = -13 - 5, 5*s = -3*b + 17. Suppose 0*q + 134 = 60*q + 7*q. Solve -4*k + 12 = b*w, 0 = 3*w + q*w + 3*k - 13 for w. 2 Suppose 5*d + 5*u - 6 = 19, 3*d - 5*u + 9 = 0. Let s be (5 - (-8 - -13))/(2*-1). Solve x - 2*z - 7 = d*z, s = -5*x - 2*z + 13 for x. 3 Let x(r) = 11*r + 26. Let l be x(-2). Let c be (-11)/(33/(-24)) + l. Solve 5*z + 4*k = c, -3*z + k + 6 = 3*k for z. 0 Suppose -578 = -3*i + 14*h - 18*h, -5*i - 4*h = -958. Suppose -4*f + i - 50 = 0. Solve 0 = -3*q + z + z - 5, 4*z = -3*q - f for q. -5 Let b = -16586 + 16621. Solve 7*d - 9 = 4*d - 2*u, 4*d = 5*u + b for d. 5 Let b(r) = r**3 + 11*r**2 - 47*r + 15. Let a be b(3). Solve -5*h + 15 = n, a = 5*n + 5*h - 18 - 17 for n. 5 Let n be (7/(-28)*-2)/(3/(-36)). Let p be 1/((27/(-126))/(n/7)). Solve -o + 2*h - 8 = 0, 21 = -p*o + 2*h + 1 for o. -4 Suppose -7*r = -11*r - 3*p + 41, -3*p = -4*r - 1. Solve -5*q - b + r = 4*b, 3*q = -5*b + 1 for q. 2 Suppose -29 = -2*v + 93. Suppose r + 3*h = 28, 2*r + h - 15 = v. Let x = 696 - 693. Solve -5*y = 5*m, x*y = 2*m + 3*m + r for y. 5 Let w(u) = -2*u**2 + 18*u + u + 19*u + 6 - 5*u. Let c be w(14). Suppose 81*y = c*y + 20. Solve -r + 5 = y*b, -b - r = 2*b - 3 for b. 2 Let m(b) = b**2 - 7*b - 16. Let i be m(8). Let y = i + 21. Suppose -y = -3*z - h - 0*h, 2*h + 29 = 5*z. Solve -3*r - 3 + 2 = -5*s, -4*r + z*s + 2 = 0 for r. 3 Let o(i) = -2*i**3 + 37*i**2 - 19*i + 28. Let x be o(18). Solve 3*q - 5*q - x = 0, -4*a + q = -5 for a. 0 Suppose 14*w = 11 + 171. Suppose 15*q + w*q = 1176. Solve 4*j - 4*c + 18 = q, -c + 14 = 4*j for j. 4 Let n be (-30)/(-50) - 1191/(-15). Let t be (-5*(-3)/6)/(n/64). Solve 4*u - t = -5*x, -5*u + 0*x = 3*x - 9 for u. 3 Let a(b) = b**3 - 24*b**2 + 26*b - 82. Let r be a(23). Let t be 8 + r/(65/20). Solve 2*q = -t*k, -2*k - 22 = -7*k + 3*q for k. 2 Suppose -2*j = -3*g - g + 14, -2*j = -2*g + 10. Solve 0 = 5*s + 4*z + 26, -3*z + 12 = -g*s - 5*z for s. -2 Let d = 6245 + -6243. Solve 2*n - 2 = 0, 3*n + 11 + d = -4*b for b. -4 Suppose -45 = -35*i + 20*i. Solve -14 = 6*c - 8*c - 3*x, -5*c = -i*x - 14 for c. 4 Suppose 4*u = 4*s + 8, -4*s = -0*u - u - 7. Suppose 3*d = -0*l - 2*l + 32, 4*l - 52 = -u*d. Solve -d = -n - n + y, -1 = -n - 2*y for n. 5 Suppose 2*l = -3*o + 1, -o + 12 = -5*l + 23. Solve -5*k = -2*p - p - 31, -l*p - 24 = -4*k for k. 5 Suppose -2*u + 5*v = -1, -2*u - 4*v + 10 + 0 = 0. Suppose -2*o + 2*f = -5*o + 2, -f + 7 = u*o. Solve -o*x - 24 = 3*t, -4 = 2*t + 4 for x. -3 Suppose -21*t + 43*t - 88 = 0. Solve -5 = 2*w + g, 4*w - t = -w + 3*g for w. -1 Let o(a) = a - 1. Let q be o(6). Let w = 141416 - 141413. Solve 0 = 4*c - q*l + 5, w = 4*c - l - 12 for c. 5 Let w(u) = u**2 - 5*u + 5. Let p be w(5). Suppose 108 = -54*b + 63*b. Let q be ((-35)/(-42))/(2/b). Solve -j + p*v = -2*j - 11, 5*v + 35 = q*j for j. 4 Suppose -44*u + 797 = -59 + 64. Solve 21*j - u*j = -9, j + 13 = 5*m for m. 2 Let c = -38 + 41. Suppose 0 = -c*t + 3*m, t - 2*m + 4 = m. Suppose 0 = -5*i + q + 14, 2*q - 10 = -2*i - t*q. Solve w + 2 = 3*f, i*w - 5*f - 6 = -w for w. 4 Let r = 427 + -426. Solve 3*w - 2*c = -19, -c = w + r - 3 for w. -3 Suppose -m = -3*p - 110, 2*m + 2*p = -2*p + 170. Let t be (-1 + 135/30)*-26. Let l = m + t. Solve -5 = -2*j - 4*s + 3, -4*j + 12 = l*s for j. 2 Let b be (4/(1 + 1/(-3)))/((-102)/(-68)). Solve o + 14 = 83*x - 87*x, b*o + 2*x = 14 for o. 6 Suppose 0*v + 18 = 2*v + 5*f, -v + 3*f = 2. Let h = 102 + -132. Let g = -27 - h. Solve -3*p - v*l = 3, -g*p + l = 2 + 1 for p. -1 Let n(b) = 5*b + 46. Suppose 0*p + 4*c + 78 = -2*p, -5*c = -2*p - 87. Let r = 34 + p. Let t be n(r). Solve 5*l - 20 = j, 3*l = 5*l - j - t for l. 3 Suppose 68*o - 16 = 64*o. Let s(z) = z**2 + 14*z - 10. Let w = -33 - -18. Let x be s(w). Solve -o*m - h + x = -0*m, 0 = 4*m - 4*h + 20 for m. 0 Let l be (72/20)/9 - 13/(-5). Suppose -2*s - 14 = -a - l*a, 2*s - 11 = -a. Solve -7*j - 16 = -g - 2*j, -j = s*g for g. 1 Let g be (9*9/81)/(2/8). Suppose 2*t = -5*o + 13, -32 + 2 = -3*t - g*o. Solve 11 = -5*h - 2*y + 30, -2*y + t = 4*h for h. 5 Let q = -10400 - -10412. Solve 5*a = 3*l - q, 0 = 5*l - 118*a + 123*a - 20 for l. 4 Suppose 7*g = 75 - 5. Suppose l + 3*b + 2*b = -3, g = 3*l - 4*b. Solve -m - 2*j = -6, -l*j = j - 15 for m. -4 Suppose 5737 - 1800 = -127*v. Suppose -m = -2 + 16. Let t be 6/m + v/(-7). Solve -16 - 4 = 4*j + 2*y, -3*j = -t*y + 4 for j. -4 Let s = -74 + 185. Let u = 111 - s. Solve -4*m + 2 = j - 2, 4*j + 2*m + 12 = u for j. -4 Let k(m) = -m**2 + 3*m + 4. Let l be k(3). Let f = -154 + 138. Let y(a) = a + 20. Let i be y(f). Solve i*n - 8 = 0, 0 = l*v - 5*v + 4*n - 6 for v. 2 Suppose 0 = 2*h, -5*h - 4 + 7 = s. Suppose -12 = -4*b + 2*p, -p - 3 + 17 = 2*b. Solve b*z - 3*v = -24, -z - s*v = 2*z for z. -3 Let z be (-4 - -1)*2*1/(-6). Let s be (-3 + z)*(-56)/16. Suppose -4*d - 75 = -s*d. Solve 4*f - h + 5*h - 20 = 0, 5*f = -h + d for f. 5 Let k = -212 - -114. Let r be 4*4/32*1*k. Let j = 51 + r. Solve 8 = 2*v, j = 5*g - 4*v + 28 for g. -2 Let t(o) = 0 + 4*o - 9 - 4. Let v be t(-18). Let b = 87 + v. Solve -20 = -3*j - 2*j - 5*k, -3*j + 7 = -b*k for j. 3 Let i be 5 + (-6)/2 + 5 + -3. Let j be ((-10)/6)/((-5)/6). Suppose j*h = 2 + 8. Solve -4*l = -t + 16, l - i*l - h = t for t. 4 Let d = -84 - -156. Let u = d - 67. Solve u*q - 30 = -8*r + 3*r, 0 = -r - 3*q + 10 for r. 4 Let a(u) = -u + 5. Let r be a(0). Let v = -311 - -313. Let z be (-6)/8*-8 - v. Solve 20 = r*k - k, 5*o - 10 = -z*k for o. -2 Let r be (2 - 3)/(112/24 + -5). Let w be (6*5/15)/((-1)/(-8)). Solve 4*g + 5*f - w = 0, -4*g + 6 = r*f - 2 for g. -1 Let o = 4 + -2. Let h(b) = 6*b - 1. Let w be h(o). Let g(i) = 8*i**2 - 302*i - 1708. Let y be g(-5). Solve 0 = -m - 2*x - w + 3, y = m - 3*x for m. -4 Let k(f) = 26*f**2 + 488*f - 109. Let r be k(-19). Solve -r*m + 7*m = -3*x + 10, 3*x = 3*m for m. 2 Let x be (-15)/720*-16*33. Solve -3*u + f = -3*f - x, 0 = -u - 4*f - 7 for u. 1 Let a = 530 - 523. Suppose 3*f = -2*r - 8 - 1, -r - a = 2*f. Solve 0 = -r*z - 4*w - 31, 4*z - 3*z + 3*w + 17 = 0 for z. -5 Let o be 120/140 + (-1)/((-56)/(-48)). Solve 5*k + o*k + 3*x = 0, 0 = x + 5 for k. 3 Let i(u) = -72*u + 1236. Let o be i(17). Solve 8 = 2*n - 0*n - y, -4*y = -4*n + o for n. 5 Suppose -10*t + 1593 + 7 = 0. Let u = t - 147. Solve -4*s - 3*y = -0*y - u, -5*s + 4*y + 24 = 0 for s. 4 Let a = -8 + 16. Let r = a - 3. Suppose 0 = -17*k - 25*k + 6*k. Solve z - j + 3 = k, 2*j - 8 = r*z - 4*z for z. 2 Let d be (12/16)/(1/12). Let h(x) = -2*x**3 - 17*x**2 + 10*x + 21. Let g be h(-9). Suppose -g*s =
{ "pile_set_name": "DM Mathematics" }
orm d*s + y*s**3 + l + a*s**2 and give y. 4 Express 2*q**3 + 13*q + q**2 - 10*q - q**3 + 2*q**3 in the form k + d*q + u*q**3 + o*q**2 and give d. 3 Express 132*o - 47*o - 56*o - 1 as u*o + n and give u. 29 Rearrange -1062*r - 98*r**2 + 1062*r to the form f*r + l + n*r**2 and give n. -98 Express (4*m - m - 4*m)*(-m + 0*m + 3*m)*(4*m - m + 4*m) as h*m**2 + i + q*m + j*m**3 and give j. -14 Express 28*y**3 + y**2 + 0*y**2 - 36*y**3 + (-3*y**2 - 2*y**2 + 3*y**2)*(y - 2*y + 3*y) as b*y**2 + q + l*y**3 + r*y and give b. 1 Express (-3 + 3 - 4)*((2*q - 4*q + 3*q)*(-4*q + 2*q + 0*q) - 1 + 3*q**2 + 1) + 1 - q**2 - 1 as k*q + j + t*q**2 and give t. -5 Express (-2*m**3 - 3 + 3)*(-4*m + 2*m + m) - 2*m**2 + 2*m**2 - m**4 - 76*m**2 + 76*m**2 - 6*m**4 - m as z*m + f*m**3 + h*m**4 + t + n*m**2 and give z. -1 Rearrange (-3 + 0 + 4)*(-2 + 4 - 1)*(-5*l + 17*l + 9*l) to x + p*l and give p. 21 Express 5*c**2 + 4*c + 0*c - 3*c - 12*c**2 as z*c + w*c**2 + d and give w. -7 Express -29*w - 19*w + 2 - 3 in the form n*w + p and give p. -1 Rearrange (-2*n**2 + n**2 - n**2)*(0 - 3 + 2) + 2*n**2 + 0 + 0 + (-n + 0*n + 0*n)*(-8*n + 4*n - 9*n) to d*n + k + c*n**2 and give c. 17 Express -326*g**2 - 5 + 2 + 316*g**2 in the form m*g**2 + q + u*g and give m. -10 Rearrange (2*w - 2 + 2)*(0 + 1 + 0) - 1 + 1 + w + 2*w + 5 + 4 + 18 to the form d + g*w and give d. 27 Express (-h**3 + h**3 + h**3)*(4 - 4 + 6*h) + (-h**4 + h**4 - 2*h**4)*(0 + 4 + 3) in the form v + r*h**2 + i*h**3 + j*h**4 + x*h and give j. -8 Express (2*p + 0*p - p)*(-2 + 2 - p)*(-2 + 1 + 4)*(-11 + 2 - 1) in the form v + y*p**2 + x*p and give y. 30 Express 414*g - 26*g**2 - 412*g + 9*g**2 in the form y*g**2 + s*g + h and give y. -17 Rearrange (0*x**3 + x**3 - 2*x**3)*(-2*x + 2*x - 3*x + (1 + 2 - 1)*(8 + 6*x - 8)) to the form l*x**3 + c + s*x + u*x**2 + h*x**4 and give h. -9 Express -4 - 2 + 4 + 0*l**3 + l**3 - 2*l**2 in the form o*l**3 + g + n*l**2 + w*l and give g. -2 Rearrange (3*d + d - 2*d)*(-3 + 4 + 3) - 3*d - 3*d + 5*d to the form r*d + u and give r. 7 Rearrange (0*b + b - 3*b)*(-9 + 4 + 7)*(1 + 2 + 1) to c + t*b and give t. -16 Express (6*d + 4*d - 6*d)*(1 - 2 - 6)*(-3 + d + 3) as a + t*d + z*d**2 and give z. -28 Express -2*r + 4*r + 0*r as i*r + o and give i. 2 Express (1 + l - 1)*(3 + 0 - 6)*(-1 - 3 + 2)*(-2 + 4 - 1) in the form u*l + z and give u. 6 Express -3*x - 17 + 427*x**2 - 429*x**2 - 4 as v*x + b + o*x**2 and give o. -2 Rearrange (-2 + 1 + 0)*(1 - 2 + 2)*(2 - 5*l - 2*l + 13*l) to the form j*l + v and give j. -6 Rearrange 0*t + 2*t - 3*t + (2*t + 3*t - 6*t)*(0 - 2 + 0) + 1 - 1 + t - 9 + 9 + 10*t - 5*t - 1 - 1 + 0 to the form l*t + d and give l. 7 Rearrange 50*f + 238 - 238 + (-2 + 3 + 1)*(1 + 2*f - 1) to the form v + i*f and give i. 54 Rearrange -30*n - 7*n + 219 - 221 to u + c*n and give u. -2 Rearrange (33*s**2 + 35*s**2 + 43*s**2 - 20*s**2)*(s + s - 5*s) to the form v + o*s**3 + h*s**2 + b*s and give o. -273 Rearrange (4 - 3 - 4)*(-b**2 + 65*b**3 + 1772 - 1772) to s*b + q*b**3 + w*b**2 + p and give w. 3 Rearrange 2*c**2 - 2*c**3 - 8*c**3 - 2 + 1 - 2*c**4 to w*c + q*c**4 + u*c**2 + d*c**3 + i and give d. -10 Express 2*t**2 + 2*t**3 + 0*t**3 + 71 - 58 in the form a*t**2 + o*t**3 + x*t + m and give a. 2 Rearrange -3 + 2*w**2 - w**2 - 1 + 2 to k*w**2 + l + f*w and give l. -2 Express 60*a**2 + 4 - 4 + 10*a**2 in the form i*a + b*a**2 + c and give i. 0 Rearrange (30 + 48*g**4 - 30)*(-2 + 5 - 2) to i*g**4 + d + r*g + o*g**2 + s*g**3 and give i. 48 Rearrange (0*u + 0*u - 2*u)*(-4*u**2 + u**2 + u**2) + 5*u**3 - 3*u**3 - u**3 + 30 - 30 - 8*u**3 to q*u**2 + m + f*u**3 + x*u and give x. 0 Express (-4*z + 0 + 0)*(10 + 8*z**3 - 10) as f*z + x*z**4 + t + s*z**3 + l*z**2 and give x. -32 Rearrange -2*r**2 + 0 + 0 + (2*r + 0*r - r)*(-3*r + 2*r + 0*r) + 11*r**2 - 10*r**2 + 14*r**2 to i*r + q + a*r**2 and give a. 12 Express (2*f - 5*f - 3*f**2 + 5*f)*(2*f**2 - f**2 + 4*f**2) as w*f + q + r*f**4 + a*f**2 + x*f**3 and give q. 0 Express -7*o + 4*o + 0*o as z*o + j and give z. -3 Rearrange -3*s - 8*s + 3*s - 7*s to k + o*s and give o. -15 Express (4*v - 2*v - 3*v)*(-12*v - 12*v + 19*v)*(-1 - 1 + 3) in the form l*v + n + o*v**2 and give l. 0 Express -2*z**2 - 57*z**3 - 4*z**4 + 55*z**3 + 9*z**4 as i*z**3 + n*z + r + k*z**2 + q*z**4 and give i. -2 Rearrange (-2 + 3 - 5)*((4 + 0 - 2)*(-k + 2 - 2) - 2*k + 5*k - 2*k - k + 3*k + 0*k - 1) to the form h + q*k and give q. -4 Express o**2 + 15 - 2*o**3 - 8 - 6 - 2 - o in the form t*o + v*o**2 + q + a*o**3 and give q. -1 Express (4*a**2 + a**2 + a**2 + (2*a + 1 - 1)*(1 + 2*a - 1) - 4*a**2 + 0*a**2 + 3*a**2 + 0*a**2 + 2*a**2 + 0*a**2)*(2 + 2 - 6) as k*a + m + i*a**2 and give i. -22 Rearrange -6*n + 3*n + 12*n + 8*n to the form s*n + x and give s. 17 Express 6 + 1 - 1 - 8*r**2 - 4 as z*r + l*r**2 + s and give s. 2 Express -2*u**2 - 3*u**3 + u - 3*u**2 + 4*u**2 - 18 + 20 in the form p + f*u + m*u**2 + v*u**3 and give m. -1 Express -4*p**2 - 3*p**2 - 5*p + 2*p**2 + 4*p as d*p**2 + t*p + n and give t. -1 Express -12*r**4 - 2*r**4 + 3 - 5 - 2*r**3 - r in the form m*r**3 + v*r**2 + g + n*r + x*r**4 and give m. -2 Rearrange (-6 + p**2 + 6)*(p**2 + 2*p**2 - p**2) to z + f*p**3 + m*p + x*p**2 + n*p**4 and give n. 2 Rearrange -302*x + 33*x + 92*x to the form z + y*x and give y. -177 Express (-1 + 1 + 2)*(3*s - 2*s - 2*s) + 77*s - 13 - 100 - 78*s as o + p*s and give p. -3 Express 7*i**2 + 7*i**2 + 0*i**2 in the form f + t*i + w*i**2 and give w. 14 Rearrange (2 - 2 - 2)*(-6*b + 2*b + 3*b)*(-6162 + 6162 - 3*b**2) to the form p*b**3 + w*b + y*b**2 + r and give p. -6 Rearrange -11*a**2 + 23*a**2 + a**3 - 13*a**2 - 5 to the form i*a**2 + z + m*a + s*a**3 and give s. 1 Express 14 - 3*t**2 - 13 + 4*t**2 as s + y*t**2 + f*t and give y. 1 Express -15 + 15 + 12*u in the form d + s*u and give s. 12 Express 0*f + f + 38 + 2*f - f as p*f + u and give u. 38 Rearrange 7*j**3 + 3 - 5*j**3 - j**2 - 7*j + 5*j to the form b*j + s + v*j**3 + k*j**2 and give s. 3 Rearrange (12 - 3 + 17)*(3*t - 3*t - 2*t**3) + 2*t**3 + 0*t**2 + 0*t**2 to the form v*t + q + r*t**2 + g*t**3 and give g. -50 Rearrange -8*q**3 + 1 + 11*q**3 - 3 - 3*q + 1 to m + c*q**3 + g*q + p*q**2 and give m. -1 Express -z**3 + 1 + 35*z**2 - 2 - 39*z**2 in the form x + i*z**3 + n*z**2 + m*z and give x. -1 Express 147*d**2 - 127*d**2 - d + d as h*d + v + a*d**2 and give a. 20 Rearrange 106 - 106 + 23*m**2 to the form n*m + p + g*m**2 and give g. 23 Rearrange 2*i**2 - 60*i**3 + 0 - 28*i**3 + 0 to the form s*i**2 + a*i + m*i**3 + f and give m. -88 Rearrange i**2 + 0*i**3 - 2*i + i**4 + 7*i**3 - 6*i**3 to j + b*i + o*i**3 + k*i**2 + v*i**4 and give v. 1 Rearrange -3 + k - 20*k + 2 + 2 to the form s*k + w and give w. 1 Rearrange -17*n - 12*n - 5*n to the form y + x*n and give x. -34 Express y**4 - 876*y**3 + 862*y**3 + 5*y**2 + 1 - 4*y**2 as x*y**3 + c*y + p*y**2 + f*y**4 + u and give x. -14 Rearrange (-69 - 90 + 66)*(0*t**4 + 0*t**4 - 2*t**4) to k*t**2 + a*t + m*t**3 + h + x*t**4 and give x. 186 Express (-5*b + 2*b**2 + 275 - 275)*(4*b - 6*b + b) in the form m*b + h*b**2 + p*b**3 + t and give h. 5 Express -i - i**3 + 31 - 11 + 3 - i**3 as y + z*i + o*i**2 + r*i**3 and give z. -1 Express 9*z**4 - 3*z**2 - 10*z**4 - 4*z**3 + 2*z**4 as q + y*z**3 + w*z + k*z**2 + d*z**4 and give y. -4 Express 25*l**2 + 5*l**2 + 2*l**2 as t + i*l + f*l**2 and give f. 32 Rearrange (0*q + 0*q - q)*(0 - 1 - 1)*(q**3 + q**3 + 24726 - 24627 + q) to the form f*q + m + z*q**2 + y*q**3 + l*q**4 and give z. 2 Rearrange 5*r**3 - r**3 + 12*r - 1921 + 1922 to the form u*r**3 + g*r**2 + z + j*r and give z. 1 Rearrange 3*b**2 - 3*b**3 - 5 - 6*b**3 + 10*b**3 + 3*b to the form y*b + t*b**2 + p*b**3 + g and give g. -5 Express 149*a**3 + 2*a - 294*a**3 + 1 + 147*a**3 + 2*a**4 as w*a**3 + k*a + i*a**2 + m + b*a**4 and give m. 1 Express (4 - 2 + 2)*(-5*n - n**2 + 5*n + (-4*n + 3*n + 3*n)*(0 + 0 - 5*n) + 7*n**2 - 3*n**2 - 3*n**2) as g*n**2 + t + v*n and give g. -40 Rearrange q**2 - 4*q + q + 6*q to n*q**2 + k + m*q and give n. 1 Rearrange -130 + 0*x**2 + x**2 + 136 to d + l*x + a*x**2 and give a. 1 Express (p + p - 4*p + (-2 + 4*p + 2)*(-3 + 0 + 0))*(2*p - p + 4*p) as t + f*p + j*p**2 and give j. -70 Rearrange (7*g - 4*g - g)*(0*g**2 + 3*g + g**2 + g) to the form x*g**2 + q*g + f + s*g**3 and giv
{ "pile_set_name": "DM Mathematics" }
*2. Find the second derivative of l(i) wrt i. 8 Suppose -2*a + 8 = 6. Suppose 0 = 3*v - 13 + a. What is the first derivative of 2*i - 5*i + v - 3*i - i wrt i? -7 Let n = 3 + -1. Suppose a - 2 = -n*g, 4*a + 7*g - 3*g = 4. What is the third derivative of 3*p**2 + 0*p**5 + a*p**2 - 6*p**5 wrt p? -360*p**2 Let t(x) = -x**2 - 7*x - 5. Suppose o + 10 = -o. Let q be t(o). Find the first derivative of -i - 2 + q*i + 2*i + 1 wrt i. 6 Let d(h) be the second derivative of 17*h**7/42 - h**6/5 - 8*h**3/3 + h**2 - 68*h + 1. Find the second derivative of d(g) wrt g. 340*g**3 - 72*g**2 Let n be 64/24*6/4. Suppose -5*t + n*h + 9 = 0, -4*t + 4 = -2*h - 2*h. Find the second derivative of 3*f - 9*f**t - f + f**5 wrt f. -160*f**3 Let w(p) be the first derivative of 14*p**3/3 - 3*p**2/2 + 49*p - 1. Differentiate w(t) wrt t. 28*t - 3 Suppose 4*j + 76 = 6*j - 4*z, z + 145 = 5*j. What is the second derivative of 37*l**2 - 37*l**2 + j*l + 17*l**3 wrt l? 102*l Let o(k) be the third derivative of 0 + 17/24*k**4 + 0*k - 1/4*k**5 + k**2 + 0*k**3. Find the second derivative of o(p) wrt p. -30 Let k(f) = -16*f. Let i be k(1). Let y = 21 + i. Find the third derivative of 6*b**5 - b**2 - 8*b**y - 3*b**2 wrt b. -120*b**2 Let v(r) be the second derivative of r**5/4 - r**3/3 + 37*r**2/2 - 109*r. What is the derivative of v(m) wrt m? 15*m**2 - 2 Let c(f) be the second derivative of -7/30*f**6 + 0*f**4 - 6*f + 2*f**2 + 0*f**5 + 0*f**3 + 0. Find the first derivative of c(p) wrt p. -28*p**3 Let d(h) be the second derivative of -h**5/20 + 2*h**4 + h**3/3 - 4*h**2 - 13*h. Find the second derivative of d(p) wrt p. -6*p + 48 What is the third derivative of -3*s**2 + 6*s**3 + 405*s**4 + 111*s**4 + 0*s**3 + 86 - 6*s**3 wrt s? 12384*s Let d(c) = -3 - 18*c**2 + 4*c + 9 - 1. Let y(p) = -36*p**2 + 7*p + 10. Let o(b) = 7*d(b) - 4*y(b). Find the first derivative of o(k) wrt k. 36*k Let y(a) = a**2 + 2*a. Suppose 0 = -5*b + 4*r - 19, -r = -2*r + 1. Let j be y(b). What is the second derivative of 4*x + 4*x**3 + 0*x**3 - 3*x**j wrt x? 6*x Suppose 28 = -5*f - 2*b, -3*f - 17 - 15 = 5*b. Let w(q) = 2*q + 8. Let g be w(f). What is the derivative of -4 + 17 + g*l - 4*l - 3*l wrt l? -7 Let y(r) = 2*r + 9. Let n be y(7). What is the third derivative of -17*q**2 + 0*q**4 + n*q**2 - q**4 + 0*q**4 wrt q? -24*q What is the second derivative of 7*p + 185*p**5 + 92*p + 2*p - 5*p**5 + 2 wrt p? 3600*p**3 Find the third derivative of -121 + 229*o**2 - 2*o + 63 + 58 - 33*o**2 - 581*o**3 wrt o. -3486 Let b(x) = 55*x - 95. Let o(g) = -g + 2. Let k(d) = -b(d) + o(d). What is the derivative of k(t) wrt t? -56 Suppose 0 = -10*a + 5*a + 30. Find the second derivative of 15*d - 3*d + 3*d**4 + a*d**4 wrt d. 108*d**2 Let p = -8 - -19. Find the second derivative of 0*w**3 + 0*w**3 + p*w**3 + 13*w wrt w. 66*w Let r = -32 - -35. Find the first derivative of 12*t**r + 4*t**3 + 13 + 3*t**3 wrt t. 57*t**2 Let s(o) = -3*o - 9. Let x be s(-4). What is the second derivative of 4*n - 6*n - 12*n - 4*n**5 + x*n**5 wrt n? -20*n**3 What is the third derivative of 45*x**2 + 265*x**3 - 321*x**3 - 136*x**2 wrt x? -336 Let g(u) = u - 1. Let r(x) = 33*x**2 + 6*x - 341. Let l(p) = -2*g(p) + r(p). Differentiate l(v) with respect to v. 66*v + 4 Let o(w) = 3*w**2 - 8*w - 30. Let b be o(-4). Find the second derivative of 26*y - 9*y - 13*y + b*y**5 wrt y. 1000*y**3 Find the second derivative of -2*l - l - 354 - 282*l**3 + 350 wrt l. -1692*l Let b(l) = -l**2 - 5*l - 1 + 2 + 0*l + 0*l**2. Let i be b(-3). What is the derivative of -10 - 5*f**3 + 3 + i*f**3 wrt f? 6*f**2 Let l(n) be the third derivative of -n**6/15 + 109*n**5/60 + 4*n**2 - 5*n. What is the third derivative of l(c) wrt c? -48 What is the derivative of 51 - 352*m + 39 - 291 wrt m? -352 Suppose 6*n = 3*n + 12. Let c = -2 + n. Find the second derivative of -c*v - 4*v**4 + 11*v**3 - 11*v**3 wrt v. -48*v**2 Let h(w) = -w**5 + w**3 - 2. Let b(x) = -611*x**6 + 3*x**5 - 3*x**3 + 79*x**2 - 3*x + 6. Let l(f) = b(f) + 3*h(f). Find the third derivative of l(p) wrt p. -73320*p**3 Let q(a) be the first derivative of -1/4*a**4 + 0*a + 0*a**2 + 32 - 23/3*a**3. What is the third derivative of q(w) wrt w? -6 Differentiate -173*t**3 + 26 - 5 + 49 + 0 with respect to t. -519*t**2 What is the second derivative of -197*p**2 - 4 - 20*p - 4*p - 35*p + 6 + 9*p wrt p? -394 Suppose -3*o + 3*g - 16 = -2*g, 3*g - 9 = 2*o. Find the third derivative of 4*z**o + 142*z - 142*z + 2*z**3 - 10*z**2 wrt z. 36 Let r = 4 + -2. Let w be (-4 + (5 - 3))*(0 - 1). What is the third derivative of w*m**r - m**4 - 2*m**4 + 5*m**4 wrt m? 48*m Suppose -11 = -3*p - 3*k + 4, p = k + 3. What is the derivative of -5 - 2 + 10*b**4 + 4 - b**p wrt b? 36*b**3 Suppose q = -80 + 82. Find the third derivative of -m**4 - 1006*m**6 + 17*m**q + 981*m**6 + m**4 wrt m. -3000*m**3 Let u(t) = -21*t - 13. Let f(v) = 56 + 64 - 121. Let j(y) = -4*f(y) - u(y). Find the first derivative of j(k) wrt k. 21 Let u(r) be the third derivative of -r**6/20 - r**5/30 + r**4/2 - 5*r**2 + 1. What is the second derivative of u(l) wrt l? -36*l - 4 Let j(p) be the third derivative of 3*p**4/4 + 67*p**3/6 - 36*p**2. Differentiate j(o) with respect to o. 18 Suppose q + 3 - 15 = 0. Let w = 14 - q. Find the second derivative of -w*x + 7*x**2 - 8*x + 6*x**3 - 7*x**2 wrt x. 36*x Let a(b) be the first derivative of 0*b + 0*b**5 - 5/3*b**3 + 0*b**2 + 0*b**4 - 37/6*b**6 - 32. Find the third derivative of a(l) wrt l. -2220*l**2 Let p(z) be the third derivative of z**7/30 - z**5/5 + z**4/12 + 29*z**3 + 3*z**2 - 53. What is the second derivative of p(s) wrt s? 84*s**2 - 24 What is the second derivative of 160*c**3 + 237*c**3 + 75*c + 270*c**3 - 510*c**3 wrt c? 942*c Let a(j) be the third derivative of 11/210*j**7 + 0*j**4 - 1/60*j**5 + 0*j + 0*j**3 + 0*j**6 + 0 - 4*j**2. What is the third derivative of a(q) wrt q? 264*q Suppose 6*t - 9 = 3*t. Let z be (t/2)/((-4)/(-8)). What is the third derivative of -5*k**z + 3*k**2 - 11*k**2 + 6*k**2 wrt k? -30 Let v(p) be the third derivative of 13*p**7/210 - p**5/20 - 133*p**4/24 + p**3/6 + 212*p**2. Find the second derivative of v(t) wrt t. 156*t**2 - 6 Let s(b) = -11*b**2 + 2*b + 20. Let v(j) = -32*j**2 + 6*j + 61. Let m(g) = 7*s(g) - 2*v(g). Find the second derivative of m(x) wrt x. -26 Let t(s) = s**3 - s - 1. Let r(c) = 30*c**5 + 5*c**3 + 8*c**2 - 2*c - 5. Let k(v) = r(v) - 5*t(v). What is the third derivative of k(b) wrt b? 1800*b**2 Differentiate -d + 198 - 71*d**2 - 65*d**2 + d - 166*d**2 with respect to d. -604*d Let m(f) be the third derivative of 209*f**4/24 - 133*f**3/3 - 9*f**2 - 7. What is the first derivative of m(i) wrt i? 209 Find the second derivative of -3*i**2 - 1795*i**5 + 867*i**5 - 1 + 851*i**5 + 11*i wrt i. -1540*i**3 - 6 Let p(x) be the first derivative of 3*x**4/4 - 4*x**2 + 45*x - 17. Let a(k) be the first derivative of p(k). Find the first derivative of a(g) wrt g. 18*g Let h(r) = -r**3 - 24*r**2 - 23*r + 27. Let n be h(-23). Find the first derivative of 59 + x - 2*x - n - 19*x wrt x. -20 What is the third derivative of 10*v**5 + 44*v**5 - 3*v**5 - 301*v**2 wrt v? 3060*v**2 Suppose 0 = 2*p - 3 - 1. Differentiate 9*d**2 + 4*d**2 + 11 - 14*d**2 + 2*d**p wrt d. 2*d Let t(u) = -5*u**5 + 3*u**3 - 21*u. Let j(m) = 5*m**5 - 2*m**3 + 21*m. Let k(n) = 5*j(n) + 4*t(n). Find the second derivative of k(i) wrt i. 100*i**3 + 12*i Let k(x) be the first derivative of 40*x**3/3 - 5*x**2/2 + 6*x + 31. Find the second derivative of k(v) wrt v. 80 Let w(l) be the third derivative of 0*l**4 - 13/3*l**3 + 0*l**5 + 0*l + 37*l**2 + 0 - 29/120*l**6. Differentiate w(a) with respect to a. -87*a**2 Let w(g) be the first derivative of -2*g**6/15 + 11*g**4/12 - 9*g + 12. Let s(b) be the first derivative of w(b). Find the third derivative of s(f) wrt f. -96*f Let x(d) be the second derivative of 0*d**4 - 4*d + 0 + 0*d**3 + 7/4*d**5 - 1/2*d**2. Find the first derivative of x(p) wrt p. 105*p**2 Let a(o) be the third derivative of o**7/210 + 7*o**6/20 + 3*o**5/2 - 119*o**2. What is the third derivative of a(q) wrt q? 24*q + 252 Let u(v) be the second derivative of 3*v**5/20 - 4*v**3 - 187*v**2/2 - 107*v. What is the first derivative of u(o) wrt o? 9*o**2 - 24 Let n be 0/(-4*3/(-12)). Suppose n*u = 4*u. What is the first derivative of 5*d**2 - 2
{ "pile_set_name": "DM Mathematics" }
t is 53 minutes before 6:16 AM? 5:23 AM What is 480 minutes before 12:29 PM? 4:29 AM What is 568 minutes after 5:02 AM? 2:30 PM How many minutes are there between 5:18 AM and 2:38 PM? 560 What is 628 minutes before 7:06 AM? 8:38 PM How many minutes are there between 9:31 PM and 5:52 AM? 501 How many minutes are there between 11:48 AM and 5:41 PM? 353 What is 429 minutes before 10:09 AM? 3:00 AM How many minutes are there between 3:59 AM and 1:02 PM? 543 What is 682 minutes before 11:30 PM? 12:08 PM What is 462 minutes before 7:42 PM? 12:00 PM How many minutes are there between 12:04 AM and 11:52 AM? 708 How many minutes are there between 11:49 PM and 8:00 AM? 491 How many minutes are there between 9:04 AM and 10:42 AM? 98 How many minutes are there between 3:12 PM and 3:24 PM? 12 What is 12 minutes before 8:17 AM? 8:05 AM How many minutes are there between 5:11 PM and 11:23 PM? 372 What is 605 minutes before 7:43 AM? 9:38 PM What is 33 minutes before 5:17 PM? 4:44 PM What is 60 minutes after 9:56 PM? 10:56 PM How many minutes are there between 12:08 AM and 9:46 AM? 578 What is 424 minutes before 11:22 AM? 4:18 AM What is 159 minutes before 1:22 AM? 10:43 PM How many minutes are there between 9:25 AM and 3:51 PM? 386 How many minutes are there between 3:32 AM and 12:09 PM? 517 How many minutes are there between 3:47 PM and 12:27 AM? 520 What is 144 minutes before 1:57 PM? 11:33 AM How many minutes are there between 9:38 AM and 6:00 PM? 502 How many minutes are there between 8:37 AM and 7:29 PM? 652 What is 14 minutes after 10:01 PM? 10:15 PM How many minutes are there between 12:37 PM and 4:48 PM? 251 What is 194 minutes before 3:31 PM? 12:17 PM What is 373 minutes before 8:56 AM? 2:43 AM What is 325 minutes before 11:59 AM? 6:34 AM How many minutes are there between 4:37 PM and 8:28 PM? 231 How many minutes are there between 6:04 AM and 5:07 PM? 663 What is 324 minutes before 5:11 AM? 11:47 PM What is 10 minutes after 1:14 AM? 1:24 AM What is 681 minutes before 10:30 PM? 11:09 AM How many minutes are there between 9:19 AM and 11:52 AM? 153 What is 130 minutes before 5:38 PM? 3:28 PM What is 158 minutes after 11:52 AM? 2:30 PM What is 39 minutes after 3:28 PM? 4:07 PM What is 315 minutes before 4:39 PM? 11:24 AM How many minutes are there between 6:26 AM and 6:13 PM? 707 What is 283 minutes before 9:12 PM? 4:29 PM What is 194 minutes before 8:40 AM? 5:26 AM What is 399 minutes before 11:46 AM? 5:07 AM How many minutes are there between 2:37 PM and 5:24 PM? 167 What is 337 minutes after 4:05 AM? 9:42 AM How many minutes are there between 8:19 AM and 12:30 PM? 251 What is 235 minutes after 2:29 AM? 6:24 AM What is 688 minutes before 4:08 AM? 4:40 PM What is 90 minutes before 6:08 PM? 4:38 PM What is 547 minutes before 10:44 AM? 1:37 AM What is 535 minutes after 7:06 PM? 4:01 AM How many minutes are there between 10:49 PM and 9:07 AM? 618 What is 589 minutes after 11:03 AM? 8:52 PM What is 525 minutes after 11:41 AM? 8:26 PM What is 485 minutes before 1:04 PM? 4:59 AM How many minutes are there between 5:27 AM and 7:49 AM? 142 What is 714 minutes before 4:18 PM? 4:24 AM What is 688 minutes after 5:52 AM? 5:20 PM What is 40 minutes before 11:31 PM? 10:51 PM What is 627 minutes after 5:45 AM? 4:12 PM What is 610 minutes after 6:14 PM? 4:24 AM What is 110 minutes before 7:11 PM? 5:21 PM How many minutes are there between 7:35 AM and 2:00 PM? 385 How many minutes are there between 7:31 PM and 12:14 AM? 283 How many minutes are there between 5:26 PM and 4:12 AM? 646 What is 160 minutes after 6:30 PM? 9:10 PM How many minutes are there between 12:27 AM and 10:16 AM? 589 What is 514 minutes before 4:18 PM? 7:44 AM What is 153 minutes before 5:08 AM? 2:35 AM What is 207 minutes after 1:00 AM? 4:27 AM What is 687 minutes after 11:19 AM? 10:46 PM How many minutes are there between 3:40 AM and 4:36 AM? 56 How many minutes are there between 4:27 PM and 2:51 AM? 624 What is 596 minutes after 4:44 PM? 2:40 AM What is 405 minutes before 5:26 AM? 10:41 PM How many minutes are there between 3:23 AM and 5:40 AM? 137 What is 173 minutes after 10:45 AM? 1:38 PM How many minutes are there between 9:07 AM and 4:43 PM? 456 How many minutes are there between 11:25 AM and 2:20 PM? 175 What is 63 minutes before 6:51 PM? 5:48 PM What is 462 minutes before 7:49 AM? 12:07 AM What is 481 minutes before 10:19 AM? 2:18 AM What is 539 minutes after 10:18 AM? 7:17 PM How many minutes are there between 10:27 PM and 9:58 AM? 691 What is 482 minutes after 7:34 PM? 3:36 AM What is 627 minutes before 9:05 AM? 10:38 PM What is 466 minutes before 5:33 AM? 9:47 PM What is 661 minutes before 5:39 PM? 6:38 AM What is 391 minutes after 11:16 AM? 5:47 PM How many minutes are there between 2:52 AM and 1:26 PM? 634 What is 410 minutes before 1:34 AM? 6:44 PM How many minutes are there between 6:46 PM and 10:13 PM? 207 How many minutes are there between 1:16 AM and 7:56 AM? 400 What is 660 minutes after 11:18 AM? 10:18 PM What is 236 minutes before 10:22 PM? 6:26 PM How many minutes are there between 8:47 AM and 9:28 AM? 41 How many minutes are there between 9:16 PM and 1:13 AM? 237 How many minutes are there between 7:15 AM and 6:15 PM? 660 What is 643 minutes after 1:08 PM? 11:51 PM What is 318 minutes before 12:26 AM? 7:08 PM What is 310 minutes before 3:14 PM? 10:04 AM What is 560 minutes before 10:57 PM? 1:37 PM What is 488 minutes before 5:50 PM? 9:42 AM How many minutes are there between 10:21 PM and 11:53 PM? 92 How many minutes are there between 1:26 AM and 5:17 AM? 231 What is 454 minutes after 8:45 AM? 4:19 PM What is 388 minutes after 5:05 AM? 11:33 AM How many minutes are there between 2:04 PM and 10:32 PM? 508 How many minutes are there between 12:17 AM and 6:31 AM? 374 What is 610 minutes after 6:07 AM? 4:17 PM How many minutes are there between 7:17 AM and 2:13 PM? 416 How many minutes are there between 8:10 AM and 4:50 PM? 520 How many minutes are there between 5:16 PM and 6:32 PM? 76 How many minutes are there between 6:43 AM and 12:01 PM? 318 What is 719 minutes before 7:33 PM? 7:34 AM How many minutes are there between 5:14 PM and 4:23 AM? 669 What is 625 minutes before 12:01 PM? 1:36 AM How many minutes are there between 12:16 PM and 9:06 PM? 530 What is 172 minutes before 10:46 PM? 7:54 PM How many minutes are there between 6:18 AM and 1:28 PM? 430 What is 525 minutes before 8:18 AM? 11:33 PM What is 504 minutes before 9:48 PM? 1:24 PM What is 36 minutes after 9:55 PM? 10:31 PM How many minutes are there between 3:48 PM and 12:51 AM? 543 How many minutes are there between 8:13 PM and 5:19 AM? 546 How many minutes are there between 1:24 PM and 2:55 PM? 91 What is 710 minutes before 9:57 AM? 10:07 PM How many minutes are there between 3:45 PM and 6:46 PM? 181 What is 246 minutes before 10:59 PM? 6:53 PM What is 400 minutes before 11:08 AM? 4:28 AM What is 279 minutes after 11:41 PM? 4:20 AM What is 394 minutes before 8:59 PM? 2:25 PM What is 508 minutes before 11:56 PM? 3:28 PM What is 19 minutes before 2:05 AM? 1:46 AM How many minutes are there between 12:06 AM and 10:40 AM? 634 How many minutes are there between 3:16 AM and 2:35 PM? 679 How many minutes are there between 12:56 PM and 3:48 PM? 172 What is 171 minutes before 6:51 AM? 4:00 AM How many minutes are there between 1:43 PM and 11:27 PM? 584 What is 195 minutes after 2:28 AM? 5:43 AM What is 660 minutes before 12:22 PM? 1:22 AM What is 90 minutes before 12:24 PM? 10:54 AM How many minutes are there between 6:23 AM and 7:53 AM? 90 What is 128 minutes before 6:02 AM? 3:54 AM What is 305 minutes after 2:21 AM? 7:26 AM How many minutes are there between 5:54 AM and 4:03 PM? 609 What is 19 minutes before 9:31 AM? 9:12 AM How many minutes are there between 6:02 AM and 4:36 PM? 634 What is 324 minutes after 9:28 PM? 2:52 AM What is 171 minutes after 12:14 AM? 3:05 AM How many minutes are there between 4:42 PM and 2:39 AM? 597 How many minutes are there between 5:52 AM and 11:34 AM? 342 How many minutes are there between 12:01 AM and 2:41 AM? 160 How many minutes are there between 9:25 PM and 9:02 AM? 697 What is 400 minutes before 10:16 PM? 3:36 PM How many minutes are there between 8:07 AM and 7:09 PM? 662 What is 4
{ "pile_set_name": "DM Mathematics" }
t v = 260/7 + -37. What is the smallest value in v, -0.3, s? s Let d(w) be the second derivative of -w**4/12 - 3*w**3/2 + 2*w**2 - w. Let m be d(-9). Which is the biggest value? (a) 3/4 (b) 2/17 (c) m c Let x(m) = -m + 2. Let q be x(-3). Which is the second smallest value? (a) q (b) 1 (c) -2/7 (d) 1/5 d Let c = 0.1 + -2.1. Let b = c - -9. Let r = -12 + b. What is the smallest value in r, -3, -0.5? r Let r = -797 - -797.4. Suppose -3*k - 7 = -4. Which is the third biggest value? (a) 5 (b) r (c) k c Let j = 8 + -16. Let m = 13 + j. Suppose 3*t - 3 = -15. Which is the third biggest value? (a) t (b) 0.4 (c) m a Let t be (4/2)/(-2)*3. Let v = 6 - 6.3. Let j = 1 + -5. What is the third smallest value in j, t, v? v Let a = 0.026 + 2.074. Let y = -0.1 + a. What is the biggest value in y, 0.5, 0.4? y Let i = -181/6 - -30. Suppose 2*h = 2*o + 8, 6*o = o - 5. Which is the biggest value? (a) 0.1 (b) h (c) i b Let m = 6 + -10. Let n(k) = -k**2 + 7*k - 10. Let z be n(7). Let j be 1/((-3)/(-12)*z). What is the third biggest value in -0.5, m, j? m Suppose -10 = -5*u - 5*f, -4*u = -0*u - 4*f - 8. Suppose -u*d + 3*d = 0. Which is the third biggest value? (a) d (b) -2/9 (c) 3 b Let m = -6.7 - -6.3. Let q = -0.3 - -4.3. Which is the third smallest value? (a) m (b) q (c) -1/4 b Let y = -1143/34 - -67/2. Let r be (2/(-34))/((-1)/2). What is the smallest value in y, 1/3, r? y Let m = -74 + 74. Suppose -3*i = -6, 0*k + 2*k = 4*i - 16. What is the second biggest value in k, 4, m? m Let v = -1 - -1. Let q = -1.2 + 0. Let z = 0.8 + q. What is the biggest value in z, -2, v? v Let q = -52 - -53. Let d be (-10)/14 + (-1)/(-1). Which is the smallest value? (a) q (b) d (c) -1 c Let f(r) = -r**3 - 10*r**2 + 11*r. Let l be f(-11). Suppose -g - 3*g - 4 = l. Let m = 0.55 + -0.05. What is the smallest value in 3/5, g, m? g Let l(p) = -2*p - 2. Let r be l(-3). Let n = -3.1 - -0.1. Let b = 3.4 + n. What is the third smallest value in b, r, -2? r Suppose -4*n - 41 = -5*n + 2*q, 0 = 3*n - 2*q - 107. Let h be 9/(-10) - n/55. Which is the third biggest value? (a) h (b) 5 (c) 4 a Let t be (-4)/14*(-18)/(-4). What is the third smallest value in -5, -2/15, t, 4? -2/15 Let n be -2*(-4)/16*2. Which is the third smallest value? (a) -14 (b) -0.2 (c) n c Let a = -0.027 - -1.027. What is the second biggest value in -0.5, 4, a, -0.2? a Let z = 79 - 633/8. What is the second biggest value in z, -4, 0.5, 0.1? 0.1 Let g = 2 - 1.8. Which is the second smallest value? (a) -4 (b) g (c) -0.4 c Let g = 16 + -19. Which is the smallest value? (a) 2/7 (b) 0.4 (c) g c Let j = -11.9 + 1.9. Let z = j + 11. What is the third smallest value in 0.2, -5, z? z Suppose -116 - 49 = -5*y. Let k be (-6)/y + 24/(-110). What is the smallest value in 6/7, 4, k? k Let b = 25 - 30. What is the biggest value in b, 3, -2/15, 2/15? 3 Let k = -10.01 + 0.01. Let v = 10.2 + k. What is the third smallest value in -2/5, v, 3? 3 Let p = 158 + -160. Which is the second smallest value? (a) 13 (b) -1 (c) -0.4 (d) p b Let j(y) = 28*y**3 + y**2 + 2*y + 1. Let k be j(-1). Let g = -7886/285 - -1/285. Let d = k - g. What is the biggest value in 5, d, -5? 5 Let r = 0.1 + -0.6. Let t = r - -0.53. Which is the biggest value? (a) -0.3 (b) 4 (c) t b Let d be 6/8 - 39/78. Let y = 0 + 0. Which is the second biggest value? (a) y (b) d (c) -0.4 a Let s be 407/(-148) + 2/1. What is the third smallest value in -7, 1/2, s? 1/2 Let p = 6 - 2. Let j be (-16)/(-2) + (-30)/10. Let b = -0.3 - -0.6. What is the biggest value in b, p, j? j Let v = 15 + -11. Let g = 10 + -9. Let h = 2.8 - 3. Which is the biggest value? (a) v (b) h (c) g a Let y be (3 + -5)/((-2)/4). Suppose 0*d = -y*d - 132. Let b = -131/4 - d. What is the second biggest value in b, 4, -0.1? b Let g = 3.7 + -0.7. Let p = 7 - 6.7. Let k = 0.1 - p. Which is the smallest value? (a) k (b) 2 (c) g a Let n = -1.49 + 0.09. Let l = n + 1.2. What is the second smallest value in 3/4, l, 1/7? 1/7 Let v = -5 - 0. What is the third smallest value in 0.2, 2/3, v? 2/3 Let o = -3 + 4. Let k(r) = r + 11. Let x be k(-8). Let n(q) = q**2 - 2*q. Let m be n(x). What is the third biggest value in -2/5, m, o? -2/5 Let u(v) = -6*v**3 + 1. Let b be u(1). Let q = -7.7 - -7. Let w = q + 0.9. What is the smallest value in 1, w, b? b Let f(s) = -s + 20. Let r be f(25). Let k be (2/(-20))/((-1)/2). Which is the biggest value? (a) k (b) r (c) 1/3 c Let v be (-4)/(-14) + (-122796)/(-532). Let s = 231 - v. Which is the second smallest value? (a) s (b) -2/7 (c) 2/9 a Let i = 64.99 + -65. Which is the smallest value? (a) 0.5 (b) -4 (c) 0 (d) i b Let u = 46 + -26. Let w = u - 18. Let a = -0.03 + -0.37. What is the smallest value in a, w, -0.2? a Suppose -d - 4*d + 65 = 0. Suppose -i = -3*b - d, 2*b + b + i + 5 = 0. Let j = 19.5 - 19.2. What is the third biggest value in 2/7, j, b? b Let m = 46 + -29. Let x = -12 + m. What is the biggest value in x, -4/5, 0.1? x Let u = -0.0054 + -3.9846. Let q = 0.01 - u. What is the third smallest value in 1/6, 0.1, q? q Let p = -5 - -1. Suppose u = 5*s - 78, 42 = -s + 4*s + u. Suppose s = -2*h + 7*h. What is the third biggest value in h, -1/2, p? p Let z = -709/5 + 141. Let i(v) = v**3 + 3*v**2 - v - 1. Let p be i(-2). Which is the biggest value? (a) z (b) p (c) 1 b Suppose -5*s + 20 + 0 = 0. Let p(d) = d**2 + d - 2. Let n(g) = g + 7. Let v be n(-9). Let x be p(v). Which is the smallest value? (a) 0.3 (b) s (c) x c Let m(c) = c**2 + 9*c + 12. Let y be m(-8). What is the third biggest value in y, 3/4, 1/6? 1/6 Let m = 4.6 + -0.6. Let l = m + -4.1. Let d = 0 - 0.3. What is the second smallest value in 1, l, d? l Let n = 10.5 + -8. Let k = -0.5 - n. What is the second smallest value in k, 0.5, -2? -2 Let t be (-3)/(-12)*3/3. Let s = -5.7 + 5.4. Which is the second biggest value? (a) t (b) s (c) -2/11 c Let n = -0.17 + -6.83. Let m = n + 7.4. Which is the smallest value? (a) -2 (b) 2 (c) m a Let h be 22/55 + 29/(-35). What is the biggest value in -4, 4/3, h? 4/3 Let u = 0.36 + -0.06. Let a = -1 + 3. What is the third biggest value in u, 0.2, a? 0.2 Let u = 34.02 - 34. Which is the biggest value? (a) 1 (b) 4 (c) u (d) 2/5 b Suppose -4 = 3*m - m. What is the smallest value in m, -4, -5? -5 Let h = -3.6 - -0.6. Let f = 4 + -4.3. Let u = 0.8 + f. Which is the second biggest value? (a) u (b) h (c) -1/2 c Let d = 0.55 + 0.15. Let v = -0.7 + d. What is the second smallest value in 0.01, -1/10, v? v Let d(v) = v**2 - 16*v - 12. Let o be d(16). Which is the second smallest value? (a) o (b) 4 (c) 5 b Let y be 0 + ((-108)/(-20) - 5). What is the third smallest value in 6/11, -0.5, y? 6/11 Let b = 11.19 + -0.19. What is the biggest value in -4, 1, b? b Let u = 100 - 97. What is the biggest value in -1, -0.1, -3, u? u Let j = -1.88 + 0.08. Let k = j - 5.2. Let a = k - -8. What is the second biggest value in a, 3, -5? a Suppose 0 = 5*t - 5*v + 1 - 6, 2*v - 10 = -t. Suppose -t*a = -4 - 0. Let h = -0.6 - -0.4. What is the second biggest value in 1/2, h, a? 1/2 Let q = -0.23 - -0.03. Which is the fourth biggest value? (a) -0.7 (b) 2/3 (c) q (d) 1/3 a Let i = -525/8 + 66. Suppose -3*u - 4 - 2 = 0. Which is the third smallest value? (a) u (b) i (c) 0.4 c Suppose -9 = -5*f - 4*t + 11, 2*t = 0. Let w = 24 + -165/7. Which is the third smallest value? (a) 0.1 (b) w (c) f c Let s be -3 + (1000/(-45))/(-8). What is the second biggest value in 0.1, s, -1/8? -1/8 Let r be (5/25)/((-3)/9). Which is the smallest value? (a) -5 (b) r (c) -0.4 (d) 0 a Let i be 0 + (3/(-1) - 0). Let k be (((-225)/(-20))/(-9))/(-1). Which is the second biggest value? (a) -3/5 (b) i (c) k a Let t be -1 - 1 - 66/(-30). Let l = 0 + 0. What is the smallest value in l, t, -0.4? -0.4 Let d = 11 + -8. Which is the second biggest value? (a) d (b) 1 (c) 2/7 b Let l = 11 + -15. Which is the smallest value? (a) -3 (b) -5 (c) l b Let u = -1.6 + -0.4. Let m = -55 - -119. Let w be (m/(-280))/(2/5). What is the smallest value in -1/8, u, w? u Let i = -0.2 + -0.2. Let c be 1 - 3 - (-65)/3. Let l = -39/2 + c. What is the smallest value in i, l, -0.5? -0.5 Let j(f) = -2*f**2 + 8 + f**2 - 5*f - 6. Let q be j(-6). Which is the third biggest value? (a) q
{ "pile_set_name": "DM Mathematics" }
M? 386 How many minutes are there between 6:11 AM and 12:36 PM? 385 What is 76 minutes after 4:45 AM? 6:01 AM What is 41 minutes before 6:00 AM? 5:19 AM What is 137 minutes after 4:26 AM? 6:43 AM What is 120 minutes after 8:24 PM? 10:24 PM How many minutes are there between 11:01 PM and 12:43 AM? 102 What is 553 minutes before 1:40 PM? 4:27 AM What is 291 minutes before 8:20 PM? 3:29 PM How many minutes are there between 11:16 AM and 10:45 PM? 689 How many minutes are there between 6:24 PM and 2:03 AM? 459 What is 625 minutes before 9:40 AM? 11:15 PM What is 652 minutes after 2:40 PM? 1:32 AM How many minutes are there between 9:26 PM and 8:55 AM? 689 What is 501 minutes after 1:26 AM? 9:47 AM How many minutes are there between 4:19 PM and 6:31 PM? 132 What is 302 minutes after 4:39 AM? 9:41 AM What is 693 minutes after 6:53 AM? 6:26 PM What is 67 minutes before 10:39 AM? 9:32 AM What is 591 minutes before 11:43 AM? 1:52 AM How many minutes are there between 6:23 AM and 10:57 AM? 274 How many minutes are there between 2:50 PM and 9:58 PM? 428 How many minutes are there between 8:59 AM and 11:39 AM? 160 How many minutes are there between 9:35 PM and 9:07 AM? 692 What is 681 minutes after 3:54 PM? 3:15 AM How many minutes are there between 3:22 PM and 3:33 PM? 11 What is 35 minutes after 11:24 PM? 11:59 PM How many minutes are there between 4:59 AM and 11:26 AM? 387 How many minutes are there between 2:26 AM and 7:29 AM? 303 How many minutes are there between 6:20 AM and 3:08 PM? 528 What is 685 minutes before 3:10 AM? 3:45 PM What is 165 minutes before 11:13 PM? 8:28 PM How many minutes are there between 4:54 AM and 8:23 AM? 209 What is 493 minutes after 5:22 AM? 1:35 PM What is 589 minutes after 6:54 PM? 4:43 AM How many minutes are there between 2:48 AM and 3:57 AM? 69 How many minutes are there between 7:33 PM and 7:21 AM? 708 How many minutes are there between 4:01 PM and 8:12 PM? 251 How many minutes are there between 7:24 PM and 12:51 AM? 327 What is 457 minutes after 2:39 AM? 10:16 AM How many minutes are there between 9:17 AM and 10:19 AM? 62 How many minutes are there between 9:12 PM and 7:55 AM? 643 How many minutes are there between 5:28 PM and 8:59 PM? 211 What is 627 minutes before 11:30 AM? 1:03 AM How many minutes are there between 6:27 AM and 10:41 AM? 254 How many minutes are there between 12:44 AM and 11:59 AM? 675 What is 710 minutes before 6:52 PM? 7:02 AM What is 709 minutes after 8:53 PM? 8:42 AM How many minutes are there between 2:07 PM and 4:58 PM? 171 What is 399 minutes after 7:47 AM? 2:26 PM What is 514 minutes before 9:54 AM? 1:20 AM How many minutes are there between 3:38 AM and 1:48 PM? 610 What is 289 minutes before 7:06 PM? 2:17 PM How many minutes are there between 9:59 AM and 3:03 PM? 304 What is 313 minutes after 6:14 AM? 11:27 AM What is 69 minutes before 6:04 PM? 4:55 PM What is 322 minutes after 12:02 AM? 5:24 AM What is 101 minutes after 4:31 AM? 6:12 AM How many minutes are there between 9:49 AM and 9:36 PM? 707 What is 123 minutes before 11:42 PM? 9:39 PM What is 444 minutes after 5:50 AM? 1:14 PM What is 144 minutes after 8:05 PM? 10:29 PM What is 467 minutes after 2:11 PM? 9:58 PM What is 35 minutes before 10:33 PM? 9:58 PM How many minutes are there between 1:51 AM and 2:50 AM? 59 How many minutes are there between 2:59 AM and 2:21 PM? 682 How many minutes are there between 12:34 AM and 5:25 AM? 291 What is 203 minutes after 12:27 PM? 3:50 PM What is 664 minutes after 5:41 PM? 4:45 AM What is 313 minutes before 11:55 PM? 6:42 PM What is 462 minutes after 7:41 AM? 3:23 PM What is 660 minutes after 5:15 AM? 4:15 PM What is 628 minutes after 7:31 AM? 5:59 PM How many minutes are there between 8:06 PM and 11:28 PM? 202 What is 616 minutes after 11:40 PM? 9:56 AM How many minutes are there between 6:21 PM and 5:24 AM? 663 What is 589 minutes before 1:55 AM? 4:06 PM What is 547 minutes before 2:05 PM? 4:58 AM How many minutes are there between 4:36 AM and 11:32 AM? 416 How many minutes are there between 3:39 PM and 2:22 AM? 643 What is 448 minutes before 7:32 AM? 12:04 AM What is 664 minutes before 1:43 PM? 2:39 AM What is 647 minutes after 1:02 PM? 11:49 PM How many minutes are there between 10:17 PM and 4:48 AM? 391 How many minutes are there between 5:46 AM and 10:50 AM? 304 What is 149 minutes after 11:52 AM? 2:21 PM What is 56 minutes after 7:56 AM? 8:52 AM How many minutes are there between 1:19 PM and 12:14 AM? 655 How many minutes are there between 6:53 PM and 3:56 AM? 543 How many minutes are there between 11:54 PM and 8:06 AM? 492 What is 432 minutes before 6:06 AM? 10:54 PM What is 424 minutes after 8:39 PM? 3:43 AM How many minutes are there between 5:17 AM and 7:23 AM? 126 How many minutes are there between 7:30 AM and 2:01 PM? 391 How many minutes are there between 8:12 PM and 8:54 PM? 42 How many minutes are there between 4:28 PM and 5:16 PM? 48 How many minutes are there between 12:50 PM and 12:52 PM? 2 What is 705 minutes before 3:36 PM? 3:51 AM What is 328 minutes before 2:01 AM? 8:33 PM What is 211 minutes before 1:42 PM? 10:11 AM What is 185 minutes after 3:28 AM? 6:33 AM What is 707 minutes before 7:01 AM? 7:14 PM What is 463 minutes before 4:29 AM? 8:46 PM What is 170 minutes before 12:00 AM? 9:10 PM What is 359 minutes before 12:20 AM? 6:21 PM What is 528 minutes after 1:09 AM? 9:57 AM How many minutes are there between 7:40 PM and 9:10 PM? 90 What is 702 minutes after 2:40 AM? 2:22 PM How many minutes are there between 11:30 PM and 10:52 AM? 682 How many minutes are there between 5:52 PM and 2:17 AM? 505 How many minutes are there between 5:03 AM and 12:40 PM? 457 How many minutes are there between 8:33 AM and 12:57 PM? 264 How many minutes are there between 7:19 PM and 4:43 AM? 564 What is 209 minutes before 1:09 AM? 9:40 PM How many minutes are there between 7:42 AM and 3:15 PM? 453 How many minutes are there between 1:26 AM and 10:45 AM? 559 How many minutes are there between 2:35 AM and 9:19 AM? 404 What is 373 minutes after 7:40 PM? 1:53 AM How many minutes are there between 5:18 PM and 8:08 PM? 170 What is 59 minutes after 3:40 AM? 4:39 AM What is 11 minutes before 9:09 AM? 8:58 AM How many minutes are there between 4:48 PM and 8:17 PM? 209 What is 171 minutes after 7:30 PM? 10:21 PM What is 14 minutes after 1:57 PM? 2:11 PM How many minutes are there between 1:24 PM and 7:18 PM? 354 What is 595 minutes after 7:27 AM? 5:22 PM What is 310 minutes after 5:50 AM? 11:00 AM What is 170 minutes after 3:53 AM? 6:43 AM How many minutes are there between 4:22 PM and 7:08 PM? 166 How many minutes are there between 1:49 AM and 2:37 AM? 48 How many minutes are there between 4:57 AM and 9:53 AM? 296 What is 414 minutes after 3:58 AM? 10:52 AM How many minutes are there between 1:48 PM and 2:24 PM? 36 How many minutes are there between 7:40 AM and 1:25 PM? 345 How many minutes are there between 7:11 PM and 11:24 PM? 253 How many minutes are there between 9:05 PM and 8:10 AM? 665 What is 420 minutes after 8:58 AM? 3:58 PM What is 703 minutes before 5:50 PM? 6:07 AM How many minutes are there between 2:32 AM and 12:31 PM? 599 What is 582 minutes after 7:33 AM? 5:15 PM How many minutes are there between 8:31 PM and 3:39 AM? 428 How many minutes are there between 3:10 AM and 10:10 AM? 420 How many minutes are there between 9:50 AM and 1:47 PM? 237 What is 617 minutes before 11:31 PM? 1:14 PM What is 360 minutes before 12:16 PM? 6:16 AM What is 507 minutes after 2:42 PM? 11:09 PM What is 681 minutes after 9:14 AM? 8:35 PM What is 136 minutes before 8:53 AM? 6:37 AM How many minutes are there between 9:12 AM and 10:19 AM? 67 What is 367 minutes before 11:22 PM? 5:15 PM What is 710 minutes before 6:49 PM? 6:59 AM How many minutes are there between 1:22 PM and 4:46 PM? 204 What is 504 minutes after 5:41 PM? 2:05 AM What is 202 minutes after 9:26 PM? 12:48 AM What is 691 minutes after 12:15 AM? 11:46 AM How many minutes are there between 5:28 PM and 8:01 PM? 153 What is 584 minutes after 7:41 AM? 5:25 PM How many minutes are there between 4:18 PM and 7:40 PM? 202 How many minutes are there between 3:30 PM and 3:18 AM? 708 How many minutes are there between 11:00 AM and 12:07 PM? 67 What is 67 m
{ "pile_set_name": "DM Mathematics" }
242206 Convert 6c776e (base 16) to base 12. 246983a What is 11343220 (base 7) in base 13? 291316 What is -2603320 (base 7) in base 11? -210494 What is 11011111302 (base 4) in base 7? 14220054 What is 111101001000111000000 (base 2) in base 7? 23012536 -1120222021110 (base 3) to base 14 -180373 5341346 (base 7) to base 4 2132121122 12213020032 (base 4) to base 10 1733134 Convert -2321032330 (base 4) to base 12. -3070a4 What is 84bc26 (base 15) in base 4? 120012110301 16645403 (base 7) to base 8 6206505 -64e27 (base 15) to base 4 -1032032311 1260173 (base 12) to base 4 31300323213 What is -51ba4 (base 16) in base 14? -89dd2 What is 20001000021 (base 3) in base 7? 1003312 What is 13312312320 (base 4) in base 3? 10212122101100 Convert 557163 (base 8) to base 14. 4c73d What is -622a4 (base 11) in base 2? -10110001011110000 2200120222112 (base 3) to base 2 101011100110101011011 What is -2b0556 (base 13) in base 11? -662711 What is 6d14c (base 14) in base 6? 5413252 -2211010011 (base 3) to base 9 -84104 -66006 (base 7) to base 15 -4d30 Convert -1ab061 (base 12) to base 5. -110202043 -8848b5 (base 13) to base 10 -3209120 a5c37 (base 15) to base 2 10000000011000110101 What is 100101110010101010101111 (base 2) in base 4? 211302222233 -1232011121 (base 4) to base 5 -103412110 -b9a2ab (base 12) to base 3 -12112102221112 What is 15104022 (base 6) in base 13? 1536cb Convert -202770 (base 12) to base 4. -1322213010 -19ac6 (base 14) to base 4 -33323132 Convert -14210035 (base 6) to base 3. -220120010212 Convert -106509 (base 13) to base 11. -24355a 3aa8488 (base 11) to base 4 123001031033 What is 4022443042 (base 5) in base 6? 443444153 1340513 (base 6) to base 2 10010011001011101 56afa (base 16) to base 4 1112223322 What is -1aa8303 (base 14) in base 8? -62624657 Convert -35b812 (base 12) to base 13. -246200 Convert -1803e (base 15) to base 13. -29489 -52405 (base 7) to base 13 -5b39 -11101011100100111 (base 2) to base 12 -59973 -267071 (base 9) to base 14 -433a7 17202453 (base 8) to base 4 33100110223 -101502442 (base 6) to base 9 -3281138 What is -265927 (base 10) in base 12? -109a87 What is a6a21 (base 12) in base 13? 78a00 -440fe (base 16) to base 11 -1804a9 Convert 778a01 (base 11) to base 12. 4ba6b3 What is -6650 (base 7) in base 12? -146b Convert -1356540 (base 10) to base 5. -321402130 Convert -201314442 (base 5) to base 15. -10e3d2 -1233033023 (base 4) to base 11 -291357 Convert 1603300 (base 7) to base 12. a7157 What is 2223412 (base 6) in base 8? 333200 -1000011000001010110 (base 2) to base 11 -178282 What is 110772 (base 8) in base 15? b115 -2bc09 (base 15) to base 10 -141084 Convert -310021334 (base 5) to base 12. -504291 What is -342ac7 (base 15) in base 13? -692380 698c6 (base 13) to base 2 101111000010001101 Convert 2312211302 (base 4) to base 14. 1567aa 897a3 (base 11) to base 6 2442055 Convert -5542534 (base 7) to base 15. -d74ca Convert -7a8952 (base 11) to base 15. -1a5d91 -8b3737 (base 12) to base 4 -20133031123 What is -83a342 (base 11) in base 9? -2471381 -121300102202 (base 4) to base 5 -3212021034 731a593 (base 11) to base 12 43a8796 10b042 (base 13) to base 15 7c2c9 -201391 (base 11) to base 14 -86076 Convert 1a2a0 (base 11) to base 10. 28303 Convert 3421034400 (base 5) to base 3. 112021221001200 Convert 55425013 (base 6) to base 10. 1667745 Convert 201222101222 (base 3) to base 11. 24948a What is -20445635 (base 7) in base 3? -10020200120012 -2220112121202 (base 3) to base 4 -11321123030 -242215 (base 6) to base 12 -1036b 243684 (base 9) to base 2 100011111010010011 What is -1b50870 (base 12) in base 10? -5828052 Convert 2ab41 (base 14) to base 4. 121333311 What is -20322010 (base 6) in base 2? -10001111000111110110 Convert -13551462 (base 8) to base 2. -1011101101001100110010 Convert -212e1b (base 16) to base 4. -20102320123 Convert -113868 (base 9) to base 10. -68507 Convert -200211221 (base 4) to base 16. -20969 Convert -102020101211111 (base 3) to base 2. -10110110001111110000110 Convert -1225341 (base 8) to base 12. -143b95 Convert 2634c (base 13) to base 11. 49282 What is -10110001000011010100011 (base 2) in base 13? -1281928 Convert 743201 (base 10) to base 3. 1101202110222 3032817 (base 10) to base 14 58d37b Convert 2097928 (base 10) to base 5. 1014113203 What is 4301154 (base 6) in base 16? 3353e Convert 59d5 (base 16) to base 5. 1213442 Convert 67243 (base 11) to base 7. 554055 -328a647 (base 11) to base 10 -5768000 -a6196 (base 11) to base 5 -14421442 Convert 1111110001101000100 (base 2) to base 3. 222021002122 What is 664b97 (base 12) in base 4? 12030332203 What is 2014043 (base 5) in base 2? 111111010001110 Convert 1100011110101010100100 (base 2) to base 6. 154041020 -13044 (base 6) to base 8 -3664 What is 2452162 (base 7) in base 8? 1147656 What is 100101000011101001010 (base 2) in base 15? 18ebc2 What is 4574550 (base 9) in base 12? 9b16a6 What is -1178462 (base 9) in base 16? -9ce45 Convert 19194 (base 15) to base 14. 2191a What is 3c05c9 (base 13) in base 14? 29d2bb Convert 692988 (base 13) to base 7. 30112623 What is -3115151 (base 7) in base 8? -1332303 What is -163264 (base 11) in base 2? -111101110100010010 5140546 (base 9) to base 4 22131222201 Convert 3b96b4 (base 12) to base 7. 11265430 What is 123150021 (base 6) in base 4? 21020121331 Convert 90f109 (base 16) to base 14. 13939a1 What is 42153 (base 7) in base 6? 120013 -9b219a (base 12) to base 3 -11122112222201 Convert 147152 (base 9) to base 4. 112012130 What is 84075 (base 9) in base 15? 11682 -63c60 (base 14) to base 15 -4b6c9 What is -534155 (base 8) in base 16? -2b86d What is -1308647 (base 9) in base 16? -ae8c5 Convert 3802531 (base 9) to base 2. 111111001000001111110 What is 2641153 (base 8) in base 10? 737899 Convert 11111001010110100 (base 2) to base 3. 20111010110 What is -210166 (base 7) in base 11? -2514a What is 140666 (base 10) in base 9? 233855 Convert -185072 (base 9) to base 11. -79650 What is -22111122022 (base 3) in base 10? -167408 204345421 (base 6) to base 13 982657 What is -621305 (base 7) in base 6? -2135215 -263914 (base 16) to base 10 -2504980 Convert -4ad644 (base 14) to base 3. -11211200121202 14b7c4 (base 15) to base 4 3310110313 Convert -1265604 (base 9) to base 12. -295094 14016013 (base 8) to base 9 5834870 What is -2011151 (base 6) in base 8? -271253 What is 33560160 (base 7) in base 3? 12111110101020 What is -fb837 (base 16) in base 5? -230431244 -96502 (base 10) to base 13 -34c03 Convert 11110111100000001 (base 2) to base 13. 458aa Convert -230052455 (base 6) to base 9. -7820648 What is 109418 (base 12) in base 10? 264980 -1202220122200 (base 3) to base 13 -270342 Convert 340a4 (base 13) to base 4. 113012031 Convert -6405065 (base 9) to base 4. -31011003002 -12012222202 (base 3) to base 10 -102782 -102603 (base 12) to base 5 -31100110 Convert 13021123333 (base 4) to base 12. 764367 What is 211221012002221 (base 3) in base 4? 232133131231 What is -5054855 (base 9) in base 4? -22101213320 Convert -12011111 (base 4) to base 16. -6155 Convert -3786552 (base 9) to base 16. -1f8254 -6a9188 (base 12) to base 10 -1716152 -10111000210111 (base 3) to base 12 -75307a What is -10130 (base 5) in base 13? -3c2 What is -480f7 (base 16) in base 5? -33421114 Convert -2340044 (base 6) to base 12. -5a624 Convert -1310223202 (base 4) to base 13. -1396c3 -2364571 (base 8) to base 14 -12ca37 Convert -421488 (base 11) to base 3. -1021022110201 Convert -183036 (base 11) to base 15. -58941 112011211020 (base 3) to base 13 9a047 What is -2a92225 (base 11) in base 4? -110023012030 What is 5377e6 (base 15) in base 10? 3974166 What is -115005101 (base 6) in base 4? -20113220131 What is -223046 (base 12) in base 15? -ab469 What is -101021110100021 (base 3) in base 13? -1192996 What is 115075 (base 12) in base 11? 1800a8 -447a812 (base 11) to base 4 -131323310322 Convert -11004110 (base 6) to base 15. -67083 2744232 (base 9) to base 4 11233210220 Convert 76284 (base 9) to base 4. 30111223 What is -204111121 (base 5) in base 7? -10130213 What is -111001101110100111001111 (base 2) in base 12? -5099727 -113110002031 (base 4) to base 8 -27240215 -3aaa7ba (base 12) to base 3 -210222000001121 What is -20721 (base 13) in base 6? -1130020 -53792 (base 11)
{ "pile_set_name": "DM Mathematics" }
74421, -6232566, -7790711, -9348856? -1558145*w + 14 What is the f'th term of 383629, 1532657, 3447705, 6128773, 9575861, 13788969? 383010*f**2 - 2*f + 621 What is the g'th term of -354657, -709304, -1063941, -1418568? 5*g**2 - 354662*g What is the d'th term of 3292464, 6584872, 9877170, 13169304, 16461220? -9*d**3 - d**2 + 3292474*d What is the k'th term of 2294663, 2294690, 2294707, 2294714? -5*k**2 + 42*k + 2294626 What is the f'th term of 98470, 202976, 307482, 411988? 104506*f - 6036 What is the h'th term of 174901176, 174901182, 174901188, 174901194, 174901200? 6*h + 174901170 What is the y'th term of 609234, 1218547, 1827860? 609313*y - 79 What is the y'th term of 4957798, 19831150, 44620070, 79324558, 123944614, 178480238, 242931430? 4957784*y**2 + 14 What is the x'th term of 424, 2237, 5266, 9511, 14972? 608*x**2 - 11*x - 173 What is the w'th term of -5495, -5543, -5619, -5723? -14*w**2 - 6*w - 5475 What is the q'th term of 6531388, 6531368, 6531362, 6531376, 6531416, 6531488, 6531598, 6531752? q**3 + q**2 - 30*q + 6531416 What is the l'th term of 208830, 836081, 1881500, 3345087, 5226842, 7526765? 209084*l**2 - l - 253 What is the p'th term of 32578, 32417, 32258, 32101, 31946, 31793, 31642? p**2 - 164*p + 32741 What is the y'th term of -2264887, -9059542, -20383967, -36238162? -2264885*y**2 - 2 What is the n'th term of -18796, -74706, -167898, -298372, -466128, -671166, -913486? -18641*n**2 + 13*n - 168 What is the x'th term of 2515079, 5030293, 7545507, 10060721, 12575935, 15091149? 2515214*x - 135 What is the b'th term of -10143021, -20286040, -30429059? -10143019*b - 2 What is the k'th term of -564880, -1129763, -1694638, -2259505, -2824364, -3389215, -3954058? 4*k**2 - 564895*k + 11 What is the o'th term of -148, -39, 78, 203, 336? 4*o**2 + 97*o - 249 What is the a'th term of -4091, -2893, -1695, -497? 1198*a - 5289 What is the r'th term of -2516, -2165, -1808, -1445, -1076? 3*r**2 + 342*r - 2861 What is the v'th term of -1129, -8671, -29113, -68899, -134473? -1074*v**3 - 6*v**2 - 6*v - 43 What is the x'th term of 24553, 24758, 24965, 25174, 25385, 25598? x**2 + 202*x + 24350 What is the b'th term of 306603, 1226262, 2759017, 4904862, 7663791, 11035798, 15020877? -b**3 + 306554*b**2 + 4*b + 46 What is the l'th term of 565978, 2263897, 5093768, 9055597, 14149390, 20375153, 27732892, 36222613? l**3 + 565970*l**2 + 2*l + 5 What is the f'th term of 1212586, 1212624, 1212662, 1212700, 1212738? 38*f + 1212548 What is the k'th term of -2500672, -5001314, -7501956, -10002598, -12503240, -15003882? -2500642*k - 30 What is the p'th term of 7356, 14831, 22292, 29733, 37148, 44531, 51876, 59177? -p**3 - p**2 + 7485*p - 127 What is the t'th term of 350229663, 350229660, 350229655, 350229648, 350229639, 350229628, 350229615? -t**2 + 350229664 What is the u'th term of 15461, 8688, -2601, -18406? -2258*u**2 + u + 17718 What is the i'th term of 54, 119, 106, -93, -586, -1481? -18*i**3 + 69*i**2 - 16*i + 19 What is the s'th term of -33674, -33637, -33600? 37*s - 33711 What is the a'th term of 608, 1019, 1268, 1319, 1136, 683, -76, -1177? -6*a**3 - 45*a**2 + 588*a + 71 What is the b'th term of -1496, -1325, -1070, -719, -260, 319, 1030? 2*b**3 + 30*b**2 + 67*b - 1595 What is the d'th term of 6083205, 6083206, 6083207, 6083208, 6083209, 6083210? d + 6083204 What is the s'th term of 2176, 4283, 6334, 8329, 10268, 12151? -28*s**2 + 2191*s + 13 What is the v'th term of -728033, -1456058, -2184073, -2912078, -3640073, -4368058, -5096033? 5*v**2 - 728040*v + 2 What is the s'th term of 32085, 64292, 96499, 128706? 32207*s - 122 What is the w'th term of -30558907, -30558906, -30558905, -30558904, -30558903, -30558902? w - 30558908 What is the a'th term of 7210747, 7210728, 7210707, 7210684? -a**2 - 16*a + 7210764 What is the o'th term of 10985, 87330, 294545, 698066, 1363329, 2355770, 3740825, 5583930? 10906*o**3 - o**2 + 6*o + 74 What is the u'th term of -313, -487, -755, -1099, -1501? 3*u**3 - 65*u**2 - 251 What is the j'th term of 2241, 2570, 3117, 3882, 4865, 6066? 109*j**2 + 2*j + 2130 What is the j'th term of -46774, -188070, -423562, -753250? -47098*j**2 - 2*j + 326 What is the j'th term of -331, -928, -1549, -2194, -2863, -3556? -12*j**2 - 561*j + 242 What is the s'th term of 14232, 113563, 383158, 908145, 1773652? 14188*s**3 + 4*s**2 + 3*s + 37 What is the s'th term of 969, 8646, 29475, 70032, 136893, 236634, 375831, 561060? 1096*s**3 + 5*s - 132 What is the s'th term of 63158, 63229, 63300, 63371, 63442? 71*s + 63087 What is the i'th term of 4445, 4163, 3861, 3539, 3197, 2835? -10*i**2 - 252*i + 4707 What is the c'th term of -2320657, -9282632, -20885929, -37130548, -58016489, -83543752? -2320661*c**2 + 8*c - 4 What is the b'th term of -6239, -7195, -8789, -11021, -13891, -17399? -319*b**2 + b - 5921 What is the a'th term of -383571, -767145, -1150721, -1534299, -1917879? -a**2 - 383571*a + 1 What is the q'th term of -78989, -78999, -79045, -79145, -79317, -79579, -79949? -3*q**3 + 11*q - 78997 What is the l'th term of 524568, 1049139, 1573706, 2098269? -2*l**2 + 524577*l - 7 What is the x'th term of 12562262, 12562264, 12562266, 12562268, 12562270, 12562272? 2*x + 12562260 What is the r'th term of 7694, 7674, 7596, 7424, 7122? -6*r**3 + 7*r**2 + r + 7692 What is the k'th term of -147021, -149737, -152453, -155169, -157885, -160601? -2716*k - 144305 What is the h'th term of -3379, -6442, -9505? -3063*h - 316 What is the q'th term of -14004, -15593, -17182, -18771, -20360? -1589*q - 12415 What is the n'th term of -2103, -4231, -6401, -8631, -10939, -13343, -15861, -18511? -3*n**3 - 3*n**2 - 2098*n + 1 What is the q'th term of -9058342, -9058301, -9058260, -9058219, -9058178? 41*q - 9058383 What is the o'th term of 263070, 263035, 262978, 262899, 262798? -11*o**2 - 2*o + 263083 What is the f'th term of 11760, 47108, 106038, 188550, 294644, 424320? 11791*f**2 - 25*f - 6 What is the x'th term of 744790127, 744790125, 744790123, 744790121, 744790119, 744790117? -2*x + 744790129 What is the a'th term of 6428121, 12856267, 19284413, 25712559? 6428146*a - 25 What is the f'th term of -10634, -9921, -9208, -8495? 713*f - 11347 What is the j'th term of 72411, 144705, 217001, 289299, 361599, 433901? j**2 + 72291*j + 119 What is the a'th term of 83735, 83788, 83853, 83936, 84043, 84180, 84353, 84568? a**3 + 46*a + 83688 What is the b'th term of 31037, 123592, 277857, 493838, 771541, 1110972, 1512137, 1975042? b**3 + 30849*b**2 + b + 186 What is the l'th term of -32943, -33087, -33231, -33375, -33519, -33663? -144*l - 32799 What is the f'th term of 528080, 525060, 520020, 512954, 503856, 492720, 479540, 464310? -f**3 - 1004*f**2 - f + 529086 What is the h'th term of 7080, 7400, 7722, 8046, 8372, 8700? h**2 + 317*h + 6762 What is the h'th term of -92149, -92081, -91947, -91741, -91457? h**3 + 27*h**2 - 20*h - 92157 What is the r'th term of 21434, 45665, 69896, 94127, 118358, 142589? 24231*r - 2797 What is the x'th term of 1, -254, -509, -764? -255*x + 256 What is the n'th term of 22418, 82625, 182984, 323507, 504206, 725093? 2*n**3 + 20064*n**2 + n + 2351 What is the o'th term of -4705, -3169, -599, 3011, 7667, 13375, 20141, 27971? o**3 + 511*o**2 - 4*o - 5213 What is the f'th term of 342827, 1371284, 3085379, 5485112, 8570483? 342819*f**2 + 8 What is the q'th term of -498532, -498447, -498366, -498289, -498216? -2*q**2 + 91*q - 498621 What is the j'th term of 9404931, 18809859, 28214783, 37619703, 47024619, 56429531? -2*j**2 + 9404934*j - 1 What is the h'th term of 1018618, 2037226, 3055820, 4074394, 5092942? -h**3 - h**2 + 1018618*h + 2 What is the b'th term of 2994856, 11979430, 26953722, 47917732, 74871460, 107814906, 146748070? 2994859*b**2 - 3*b What is the o'th term of -290114, -290132, -290150, -290168? -18*o - 290096 What is the q'th term of 221341137, 221341136, 221341135, 221341134, 221341133? -q + 221341138 What is the c'th term of 79754, 319048, 717892, 1276292, 1994254, 2871784, 3908888, 5105572? c**3 + 79769*c**2 - 20*c + 4 What is the r'th term of -13636, -13595, -13594, -13633, -13712, -13831? -20*r**2 + 101*r - 13717 What is the p'th term of 19003, 17669, 16335, 15001, 13667? -1334*p + 20337 What is the c'th term of 1058, 1642, 3276, 650
{ "pile_set_name": "DM Mathematics" }
ctors of n. 5, 37 Suppose 0 = -f - 3*g - 17, 5*f - g = g - 34. What are the prime factors of (f/(-6))/(5/((-1890)/(-12)))? 2, 3, 7 Let m = 476 - -1630. List the prime factors of m. 2, 3, 13 Let h(m) = -208*m - 83. Let u(f) = 208*f + 82. Let k(a) = -6*h(a) - 5*u(a). List the prime factors of k(6). 2, 167 Let y(u) = -47*u**3 + 30*u**2 - 8*u - 1. Let q be y(-13). Suppose -q = -39*c - 15*c. List the prime factors of c. 2, 251 Suppose 2*l = 3*o + 29623, 38*l - o - 14807 = 37*l. List the prime factors of l. 2, 7, 151 Let a = 1489 + -1051. Suppose 0 = 22*u - a - 4336. What are the prime factors of u? 7, 31 Let b = 8236 + -213. List the prime factors of b. 71, 113 Suppose 93 = 26*a - 89. Suppose 3*z - 733 = 4*l, -a*l + 8*l - 1009 = -4*z. What are the prime factors of z? 251 Let z(d) = 78*d**2 + 45*d - 383. List the prime factors of z(10). 7867 Let f(c) be the third derivative of c**5/60 - c**4/3 - 55*c**3/6 + 8*c**2. Let i be f(26). Suppose 2*y = 0, -2*t + 27 = -2*y - i. List the prime factors of t. 2, 5, 11 Suppose 246790 = 15*l + 24*l - 16*l. List the prime factors of l. 2, 5, 29, 37 Suppose 6*i = 27 - 3. Suppose 5*y - 967 = -5*g + 2683, 0 = i*y - 20. Suppose -g = -4*c - 237. What are the prime factors of c? 2, 61 Let l = 12943 - 569. What are the prime factors of l? 2, 23, 269 Suppose -132 = -14*d + 274. Suppose -27*z + d*z - 574 = -2*k, -4*k + 3*z + 1155 = 0. What are the prime factors of k? 2, 3 Let c = -16 - -16. Let s be (99 + 4)*(1 + c). Suppose 0*j + s = 3*t - 4*j, 4*t = -2*j + 152. What are the prime factors of t? 37 List the prime factors of (1/(-8)*-6)/(3 - (-16135)/(-5380)). 3, 269 Let m(v) = 31*v + 91. Let c(n) = 2*n**2 - 63*n + 54. Let f be c(31). What are the prime factors of m(f)? 2, 3, 67 Let p = -115577 - -165078. List the prime factors of 2 + 14/(-8) - p/(-236). 2, 3, 5, 7 Let a(g) = g**2 - 9*g - 22. Let s be a(15). Let r = -95 + s. List the prime factors of (r/(-30) - 1/2)*325. 2, 5, 13 Suppose -3*j + 1353 = 3*m, 5*j = 4*m - 2*m - 874. Let q = 51 + m. List the prime factors of q. 2, 3, 83 Suppose 3*w + 22 = p - 14, 3*w - 3*p + 42 = 0. Let n be (w + 12)*(-2 + 4*-4). Let o(h) = -9*h + 23. What are the prime factors of o(n)? 5, 37 Let n be (288/14)/(-6)*-56. Suppose -2*u = 5*y - n, 4*u + 0*u - 398 = -3*y. List the prime factors of u. 101 Let t(a) = -3*a - 4. Let b be t(-4). Let s = -1381 - -1591. Suppose -5*o = 5*k - s, -2*k = b*o - 3*o - 69. What are the prime factors of k? 47 Suppose 3*c - 140 = -2*v, 9*c - 80 = 7*c + 2*v. Suppose 4*k + 4*f - 320 = 0, 2*f - 123 = -k - c. List the prime factors of k. 3 Let f = 16125 - 11434. What are the prime factors of f? 4691 Let f(k) = 785*k**2 + 16*k + 120. What are the prime factors of f(9)? 3, 21283 Suppose -165*p = -167*p + 188. Suppose -2*k + 82 = p. What are the prime factors of (k + 972/63)/(1/7)? 2, 3, 11 Let s be (0 + 4/6)/(142/(-1065)). What are the prime factors of (6/s)/(25938/5190 + -5)? 3, 173 Suppose m - 18*i - 8095 = -23*i, 56369 = 7*m - 2*i. List the prime factors of m. 3, 5, 179 Suppose -300*z + 163*z - 582630 = -167*z. List the prime factors of z. 19421 Let a(n) = 333 - 4*n**2 + 10*n**2 - 173 + 16*n + 2*n**2. List the prime factors of a(-9). 2, 83 Let c = 558 + -154. Suppose q - c = 2*a, -a + 1184 = q + 2*q. Suppose -b = 3*b - q. List the prime factors of b. 3, 11 Suppose 0 = 19*o + 6*o - 60425. Suppose 14*i = o + 8083. What are the prime factors of i? 2, 3, 5 Let m(z) = -z**3 + 16*z**2 + 17*z + 4. Let s be m(17). Let p(d) = 230*d - 42. List the prime factors of p(s). 2, 439 Let x(m) = -15*m**2 + 31*m + 15. Let h(r) = -7*r**2 + 15*r + 7. Let f = -37 - -43. Let i(z) = f*x(z) - 13*h(z). List the prime factors of i(10). 3 Suppose -67*g - 210 = -70*g. List the prime factors of (g/7)/((-3)/(-63)). 2, 3, 5, 7 Let r(w) = -2*w**3 + 3*w**2 - 3*w - 6. List the prime factors of r(-11). 2, 7, 109 Let q be (-32)/(-6) - (-1)/(-3). Suppose -5*a + q = 5*v, -3*a + 3 = -4*v - 0*a. Suppose v*f - 8*f + 592 = 0. List the prime factors of f. 2, 37 List the prime factors of (-72)/((-4)/2288*8). 2, 3, 11, 13 Suppose 779 = o + 4*u, 2*o + 3*u - 2301 = -o. Suppose 25*i + o = 13388. List the prime factors of i. 5, 101 Let p be ((-45)/(-24) - 2) + 930/16. Suppose -2*q + 358 - p = 0. Suppose 51 - q = -3*w. What are the prime factors of w? 3, 11 Suppose -525759 = -40*a - 60*a - 83*a. List the prime factors of a. 13, 17 Let d(y) = 10420*y - 253. List the prime factors of d(2). 7, 17, 173 Let l = -225 + 229. Suppose 3*c = 3*g + 8*c - 726, 2*g - 486 = -l*c. What are the prime factors of g? 3, 79 Suppose 13*d - 8 = 15*d, 3*i - 476 = -d. List the prime factors of i. 2, 5 Suppose 19*t = 179*t - 5639040. What are the prime factors of t? 2, 3, 11, 89 Suppose -15212 = 49*z - 578384 - 31639. What are the prime factors of z? 61, 199 Suppose 19*g = 11*g - 928. Let l = g + 108. Let j(n) = -11*n + 60. What are the prime factors of j(l)? 2, 37 Let c(h) = -106*h + 44. Let a(d) = -1. Let q(m) = 5*a(m) + c(m). List the prime factors of q(-7). 11, 71 Let o be (3/(-2))/(20/(-8) + 2). Suppose -5*c + 3*c + 6 = -2*t, 2*c - o*t - 1 = 0. Suppose c*j + 11 = 187. What are the prime factors of j? 2, 11 Let c(b) = b**3 - 6*b**2 - 6*b - 4. Let w be c(7). Suppose -p = -w - 87. Suppose -4*o + p = -242. List the prime factors of o. 83 Let f be 5/((-110)/(-6736)) + 42/(-231). Suppose -14*g + f = -11*g. List the prime factors of g. 2, 3, 17 Suppose -17*g + 18*g = -3, 0 = -3*u + 5*g + 13893. What are the prime factors of u? 2, 3, 257 Let o(d) be the third derivative of -155*d**4/12 - 31*d**3/6 - 3*d**2 + 22. List the prime factors of o(-3). 29, 31 Let u = -46887 + 12181. What are the prime factors of 1*2*u/(-134)? 2, 7, 37 Let c = 49 - 71. Let n = -23 - c. What are the prime factors of (10 - -3) + (n/(-1) - 2)? 2, 3 Let z = 331 + -22. What are the prime factors of -6*z*4/(-18)? 2, 103 Suppose -2*f - 2*h + 4748 = 0, 12*f = 11*f + h + 2376. List the prime factors of f. 5, 19 Let v = -24 - -22. Let t = 2 + v. Suppose 4*a = t, 3*w + 3*a = -0*a + 312. List the prime factors of w. 2, 13 Let i(v) = 36*v**2 - 41*v + 394. What are the prime factors of i(9)? 17, 173 Let o(u) = 6*u + 2. Let t be o(0). Suppose -t*h - 6 = 0, -3*c + 713 = 2*h + 62. What are the prime factors of c? 3, 73 Suppose 6*v - 15 + 3 = 0. What are the prime factors of (-1)/v - (-663)/2? 331 Let f = 41505 + -19121. List the prime factors of f. 2, 1399 Let o be (-25)/10*(6 - (1 + 3)). Let h(z) = -62*z + 55. What are the prime factors of h(o)? 5, 73 Suppose -5*p = -o + 3, p - 4*o + 12 = -p. Let m = -3120 + 3204. Suppose 0 = -x - p + m. What are the prime factors of x? 2, 3, 7 Let r = -5851 - -18685. What are the prime factors of r? 2, 3, 23, 31 Let y = 98 - 88. Suppose 0 = -y*o + 5*o + 335. List the prime factors of o. 67 Suppose 3352123 = 254*y - 42*y - 2399437. List the prime factors of y. 2, 5, 2713 Suppose 461 = -3*p + 1274. Let f = -218 + p. List the prime factors of f. 53 Suppose 6*j - s = 11*j - 51288, 3*s + 51276 = 5*j. List the prime factors of j. 3, 13, 263 Let f(s) = 414*s - 1468. List the prime factors of f(15). 2, 2371 Let i be 9*-12*964/(-12). What are the prime factors of 8/3*i/48? 2, 241 Suppose -23*n = 895 + 6649. Let a = -41 - n. What are the prime factors of a? 7, 41 Let o be 18/(-30) + -3 + 489/15. Suppose o*i + 16*i - 34560 = 0. What are the prime factors of i? 2, 3 Let j(d) = d**3 + 8*d**2 + 14*d + 6. Let q be j(-6). Let p be q/(-4)*8/(-3). List the prime factors of ((-96)/p)/3 + 1. 3 What are the prime factors of (116139/6 + 2)/((-6)/(-12))? 7, 5531 Suppose 25196 = 10*w - 6*w - 2*b, -18912 = -3*w + 4*b. List the prime factors of w. 2, 787 Suppose -3*k = -3*h + 933, -3*h + 4*k - 80 = -1014. List the prime factors of h. 2, 5, 31 Suppose 0 = -2*h - 2*v + 36, 5*v = 3*h + 8 - 30. Suppose -h*k + 6328 = -2184. List the prime factors of k. 2, 19 Suppose 0 = -4*z + 3*n + 190, 5*n + 134 = 2*z + 46. Let f = 98 - z. Let i = 160 - f. What are the prime factors of i? 3, 37 Let c(i) = 15*i - 107. Let z be c(7). List the prime factors of -6 - (1455/(-3) + z). 13, 37 Let f = -50 - -50. Let s be (-6999)/(-9) - 4/6. Suppose 0*r - 7*r + s = f. What are the prime factors of r? 3, 37 Suppose 5*j - 64 = -f, 3*f + 12 + 24 = 4*j. Let t = j + -9. Suppose 84 = 3*n + t*a, -2*n + 7 = 3*
{ "pile_set_name": "DM Mathematics" }
. Let f(m) = j*w(m) + 6*s(m). Determine -7*f(r) - 4*z(r). 2*r + 1 Let g(u) = -62*u**3 + 210*u - 128. Let t(l) = 21*l**3 - 75*l + 43. Give -5*g(y) - 14*t(y). 16*y**3 + 38 Let q(t) = -4*t - 74. Let a be q(-19). Let i = -9 + 9. Let w(c) = c + i*c - 2*c - 8*c**2 - 5*c**2 - 3. Let o(h) = 4*h**2 + 1. Determine a*w(s) + 7*o(s). 2*s**2 - 2*s + 1 Let n(o) = 37*o + 77. Let t(j) = 5*j + 2. What is n(u) - 6*t(u)? 7*u + 65 Let z(n) = -4*n**3 - 177*n**2 + 6*n + 13. Let h(x) = -6*x**3 - 265*x**2 + 10*x + 19. Determine 5*h(d) - 8*z(d). 2*d**3 + 91*d**2 + 2*d - 9 Let d(r) = -r - 1. Let q(n) = -1 - 3443*n + 1725*n + 1722*n. Calculate -4*d(h) + q(h). 8*h + 3 Let k(i) = -3*i**2. Let c be (-2*(-2)/3)/((-16)/(-2894256)). Let x be (-95)/(-25) - 4 - c/(-15). Let w(s) = x - 16079 - s**2 - s. Give k(j) - 2*w(j). -j**2 + 2*j Let y = -162 - -148. Suppose 0*x - 3*x + 6 = 0. Let g(t) = -t**2 - 543 + 545 + 4*t**x + 2*t. Let a(r) = -9*r**2 - 7*r - 7. Determine y*g(v) - 4*a(v). -6*v**2 Let x(q) = -4*q - 2. Let s(b) = 9*b + 1. Let v(u) = s(u) + 2*x(u). Let y be (4/(-8))/(-3 + (-195)/(-66)). Let m(w) = 2*w - 6. Give y*v(k) - 6*m(k). -k + 3 Let q(j) = j**2 - j - 1. Let t(x) = 38*x**2 - 34*x - 34. Let b(f) = -29*f + 1828. Let i be b(56). What is i*q(r) - 6*t(r)? -24*r**2 Let k(j) = j**3 + 5*j**2 + 18*j - 21. Let x(y) = 3*y**3 + 12*y**2 + 42*y - 43. What is -5*k(t) + 2*x(t)? t**3 - t**2 - 6*t + 19 Let s(w) = -3*w**3 - 4. Let i(a) be the first derivative of 9*a**4/4 + 13*a - 266. What is -2*i(q) - 7*s(q)? 3*q**3 + 2 Let f(b) = -3*b**2 - 4*b - 10. Suppose 63*l - 12 = 18*l + 33*l. Let x(n) = n**2 + n + 1. Determine l*f(h) + 6*x(h). 3*h**2 + 2*h - 4 Let z = 19568 + -19658. Let i(k) = -6*k**3 + 18*k**2 - 18. Let n(t) = -t**2 + 1. What is z*n(q) - 5*i(q)? 30*q**3 Let c(w) = -w**2 + w. Let i(f) = -f**3 - 39*f**2 + 218*f - 87. Let j be i(-44). Let b(n) = -16*n**3 - 3*n**2 + 3*n - 2. Calculate j*b(d) - 3*c(d). -16*d**3 - 2 Let f(z) = -8*z**3 + 9*z**2 + 2. Let n(r) = 3*r**3 - 3*r**2 - 1. Let t = -208 - -212. Calculate t*f(s) + 11*n(s). s**3 + 3*s**2 - 3 Let r(k) = -3*k - 208. Let w(d) = -3*d - 248. What is -7*r(x) + 6*w(x)? 3*x - 32 Let j(n) = 149*n**2 + 21*n + 5. Let t(a) = 147*a**2 + 27*a + 6. Calculate 5*j(m) - 4*t(m). 157*m**2 - 3*m + 1 Let i(f) = -4*f**2 + 2*f - 1. Let a(h) = 51*h**2 + 878*h + 15. Determine a(l) + 13*i(l). -l**2 + 904*l + 2 Let o(t) = 21*t + 7. Let r(f) = -74*f - 25. Let x(l) = -7*o(l) - 2*r(l). Let p(h) = 6 - 3 + 4*h + 2. Calculate -p(k) + 3*x(k). -k - 2 Suppose -27*y + 25*y + 3*k + 18 = 0, 3*k + 6 = 0. Let j(i) = -18*i**3 - 5*i**2 - 3*i + 5. Let m(b) = -19*b**3 - 6*b**2 - 4*b + 6. Give y*j(n) - 5*m(n). -13*n**3 + 2*n Let q(a) = 8*a. Let i be 1/(-15*8/(-360)). Let t(d) = 7*d. Let s(c) = -20*c. Let b(g) = -2*s(g) - 7*t(g). Calculate i*q(w) + 4*b(w). -12*w Let c(t) = 2*t**3 + 44*t**2 - 2*t - 3. Let x(i) = 3*i**3 + 65*i**2 - 3*i - 5. What is -10*c(r) + 7*x(r)? r**3 + 15*r**2 - r - 5 Let y(h) = 77*h + 42. Let w(g) = 67*g + 37. Calculate -7*w(n) + 6*y(n). -7*n - 7 Let y(v) = -6799*v**2 - 4*v + 4. Let x(m) = 20395*m**2 + 11*m - 11. Calculate -4*x(l) - 11*y(l). -6791*l**2 Let l(p) = -15*p**3 - 59*p**2 + 4*p + 2. Let i(c) = -27*c**3 - 151*c**2 + 9*c + 5. What is 2*i(z) - 5*l(z)? 21*z**3 - 7*z**2 - 2*z Let k(w) be the third derivative of 2*w**2 + 1/6*w**3 - 1/24*w**4 + 0*w + 44. Let t(m) = -2*m**3 - 2*m**2 + 3*m - 4. Give 4*k(h) + t(h). -2*h**3 - 2*h**2 - h Let t(m) = -11*m**3 + 5*m**2 - 6. Let f(b) = -1. Determine 7*f(k) - t(k). 11*k**3 - 5*k**2 - 1 Let c(d) = -d**2 + 4*d - 4. Let n(o) = -o + 1. Let i(k) = -c(k) - 5*n(k). Let p(m) = m - 5. Calculate -3*i(a) + p(a). -3*a**2 - 2*a - 2 Let h(n) = -117567 - 11*n + 16*n + 117573. Let d(x) be the second derivative of -1/2*x**2 + 0 + 2*x. Calculate -4*d(j) - h(j). -5*j - 2 Let h be 3/3 + 5 + -2. Suppose 12*q - h*q - 32 = 0. Suppose -7 = o + 15. Let n(z) = z**3 - 2*z**2 + 2. Let t(a) = 5*a**3 - 11*a**2 + 11. Give o*n(j) + q*t(j). -2*j**3 Let z(i) = -2074*i + 18. Let k(v) = 2075*v - 24. Calculate -3*k(m) - 4*z(m). 2071*m Let d(c) = -64*c**2 + 26*c - 18. Let a(u) = 21*u**2 - 9*u + 6. Determine 13*a(y) + 4*d(y). 17*y**2 - 13*y + 6 Let v(w) = 100*w + 186. Let d(b) = 21*b + 36. Give -16*d(s) + 3*v(s). -36*s - 18 Let m(o) = 19*o. Let a(h) = -4*h. Suppose 59 - 84 = 5*v. Let l(u) = v*a(u) - m(u). Let i(b) = -b. Give -i(s) - 2*l(s). -s Let m be 2/10 - 6/60*-348. Let w(h) = 170*h**2. Let r(v) = -19*v**2. Determine m*r(o) + 4*w(o). 15*o**2 Let z(y) = 9*y + 6. Let h(o) = -28*o - 18. Let c(t) = -2*h(t) - 7*z(t). Let g(j) = -6*j - 5. Suppose -12*s + 190 = 26*s. Calculate s*g(l) - 4*c(l). -2*l - 1 Let k(o) = -o**2 - o - 3. Let j(q) = -1500*q**2 + 80*q + 240. Determine j(v) + 80*k(v). -1580*v**2 Let b(j) = j**2 + j. Let s(r) be the third derivative of r**6/120 + r**5/15 + r**4/6 - 7*r**3/3 - 21*r**2 + 21. Determine 4*b(p) - s(p). -p**3 + 14 Let q(v) = -2*v**2 + 15*v - 19. Suppose 5*d + 27 + 3 = 0. Let g(h) = h**2 - 7*h + 9. Let r = -18 - 55. Let t = r + 60. Give d*q(z) + t*g(z). -z**2 + z - 3 Suppose 0 = -533*t - 255 - 811. Let q(b) = -b**2 - b. Let k(o) = o**3 - 2*o**2 - 4*o. Let s = 1 + 0. Give s*k(y) + t*q(y). y**3 - 2*y Let i be (-7 + 6)*1*(3 + -1). Let y(m) = m**2 - 3*m + 3. Let z(b) be the first derivative of b**3 - 7*b**2/2 + 7*b - 67. Calculate i*z(d) + 5*y(d). -d**2 - d + 1 Let q(d) = -71*d + 64. Let m(g) = -22*g + 18. What is 21*m(o) - 6*q(o)? -36*o - 6 Let r(n) = 4*n. Let b(m) = 3*m**2 - 2*m - 2. Let q(y) = -3*y + 56. Let c be q(18). Let j be b(c). Let f(i) = -i. What is j*f(d) + r(d)? -2*d Let u(f) = -3*f. Let t(y) = 14*y + 9. Give t(j) - 3*u(j). 23*j + 9 Let a(p) = 9*p**3 + 90*p**2 + 24*p + 16. Let m(s) = -2*s**3 - 22*s**2 - 6*s - 4. Calculate 3*a(w) + 13*m(w). w**3 - 16*w**2 - 6*w - 4 Let v(z) = -397*z**3 + 17*z**2 - 4*z + 12. Let n(f) = 3*f**2 - f + 2. Determine -6*n(r) + v(r). -397*r**3 - r**2 + 2*r Let c(t) = 3*t**3 + 38*t**2 + 4*t + 1063. Let n(z) = 2*z**3 + 31*z**2 + 3*z + 1062. What is 4*c(v) - 5*n(v)? 2*v**3 - 3*v**2 + v - 1058 Let q(z) = -3*z**2 + 2*z - 8. Let t(o) = -4*o**2 + 3*o - 8. Let a(x) = -2*x**2 + 150*x - 289. Let b be a(73). What is b*q(v) - 2*t(v)? -v**2 - 8 Let i(n) = 6292*n**2 - 6294*n**2 + 2 - 2 + 1 + 7*n. Let p(l) = l. Determine -i(s) + 5*p(s). 2*s**2 - 2*s - 1 Suppose -4*m + 2*m = 2*k + 4, 4*k = m - 28. Let v(y) = 9*y**3 + 5*y**2 + 2*y. Let d(z) = -10*z**3 - 6*z**2 - 2*z. Determine m*d(p) + 5*v(p). 5*p**3 + p**2 + 2*p Let p(y) = 4*y**2 + 16*y + 3. Let v(s) = -129*s**2 - s - 12. Let n(a) = 139*a**2 + a + 13. Let t(j) = 13*n(j) + 14*v(j). Determine -p(c) + 5*t(c). c**2 - 21*c + 2 Let v = 151 + -155. Let g(o) = 21*o**2 + 11*o + 11. Let l(r) = 7*r**2 + 4*r + 4. Let q(h) = v*g(h) + 11*l(h). Let n(c) = 34*c**2. What is 3*n(a) + 14*q(a)? 4*a**2 Let k(y) = -5*y + 3. Let g be (3 + 0)*(-8*(-55)/44 + -8). Let n(a) = -a + 4*a + a - 2. Calculate g*n(w) + 4*k(w). 4*w Let q(h) = 5*h - 9. Let g(m) be the third derivative of m**4/24 - m**3/3 + 134*m**2 + 25*m - 4. Let t(y) = -y**2 + 2. Let d be t(0). Give d*q(k) - 9*g(k). k Let j(z) = 4*z**3 + 306*z**2 + 1. Let l(d) = -5*d**3 - 304*d**2 - 1. Give 4*j(v) + 3*l(v). v**3 + 312*v**2 + 1 Let j(u) = 2*u + 4. Let t(v) be the second derivative of v**3/6 + v**2 - 8*v. Let b(d) be the first derivative of t(d). Give 6*b(n) - j(n). -2*n + 2 Let v(o) = o**2 + o - 1. Suppose -5*r - 14 = -p, 0 = 4*p + p + 4*r - 12. Let d(y) = 988 - 29*y**2 + 27*y**2 - 987 - y. What is p*d(w) + 4*v(w)? -4*w**2 Let i(q) = 3*q**2 - q - 2. Let m be ((-6)/4)/((-19)/228*-9). Let o(y) = -7*y**2 + y + 5. Let l be (-3 + 4)/(1/(-5)). Give l*i(t) + m*o(t). -t**2 + 3*t Let a(y) = -2*y**2 + y - 2. Let s(g) = 17*g**2 - 7*g + 85. Calculate 14*a(r) + 2*s(r). 6*r**2 + 142 Suppose 7*b - 2*b + 24 = 2*g, 2*g - 3*b - 16 = 0. Let u(r) = -r + 4. Let d(l) = -2*l - 3. Let o(c) = c. Let v(f) = d(f) + 3*o(f). Determine g*u(i) + 3*v(i). i - 1 Let z(r) = -r**2 - 2. Let b be z(0). Let m(f) = 29*f + 13. Suppose -2*k + 36 = -2*n, 2*n - 1336 = 3*k - 1381. Let u(p) = -7*p - 3. Give b*m(i) + n*u(i). 5*i + 1 Let p(b) = -3*b + 3. Suppose -5 = l, 3*w - l = 31 + 1. Let i(f) = 13*f + 273 - 484 + 200. What is w*p(t) + 2*i(t)? -t + 5 Let j(h) = 4*h**3 - 29*h**2 + 159*h + 23. Let x(l) = l**3 - 4*l**2 + 3. Give j(b) - 7*x(b). -3*b**3 - b**2 + 159*b
{ "pile_set_name": "DM Mathematics" }
me number? True Let f = 31057 + -18810. Is f a prime number? False Is (1743 + -2)/(-4 - -5) a composite number? False Let w be -1 - 1 - -2 - -2. Let j(r) = -17*r - 1. Let m(t) = -4*t. Let y(s) = 2*j(s) - 9*m(s). Is y(w) a prime number? True Suppose -65*g - 53558 = -2*i - 66*g, -i - g + 26779 = 0. Is i a prime number? False Let u be (-448)/(-40) - -6*6/45. Suppose -2776 = -u*b + 3668. Is b a prime number? False Suppose -z - 9 = -12. Suppose 0 = g - 4*d - 55, -z*g + 117 = -2*d + 6*d. Is g a composite number? False Suppose 4 = 2*o - 6*o. Suppose z + 2*n = 4*n - 1, 3*n = -5*z + 8. Is (z - 0)/(o/(-22)) composite? True Is 8/48 + (-53321)/(-6) composite? False Is (-12)/(-9) + ((-16951120)/(-24))/10 prime? False Suppose -15*f = -10*f - 100705. Is f composite? True Let q(j) = j**2 - 6*j + 5. Let f be q(5). Suppose 5*m + 3*a = -a + 1670, -m - 3*a + 334 = f. Is m composite? True Let a(k) = -2*k**3 - 3*k**2 - 4. Let m be a(-3). Suppose -21*r = -m*r + 8098. Is r a composite number? False Let x(p) = 22531*p**2 + 3*p - 3. Is x(1) a composite number? False Suppose 6*j - 21 = 45. Suppose -4*z = -5*k - 1531, -6*z - 1950 = -j*z - k. Is z composite? False Suppose -4*d = -r + 702, -3*d = r + d - 702. Suppose n - w - 537 = 0, -w + 901 = 3*n - r. Is n prime? False Suppose -2*f + 22434 - 5455 = 5*w, -w + 3409 = -4*f. Is w prime? False Suppose -8*k + 3526 = 3*d - 4*k, -d = k - 1175. Is d a prime number? False Let s = -123985 - -180180. Is s a prime number? False Let c(y) = -y**3 + 14*y**2 + 13*y - 12. Let g be c(12). Let u = -95 + g. Is u a prime number? True Suppose -64*y + 46*y + 10566 = 0. Is y prime? True Let z(n) = -5*n**3 + 15*n**2 + n - 16. Is z(-9) a composite number? True Let r(q) = 6*q**2 + 5*q - 19. Suppose 5 = 4*z - 35. Is r(z) composite? False Suppose 5*y - 2*b - 9 - 20 = 0, -38 = -5*y - b. Suppose 0 = y*f - 14*f + 7385. Is f a composite number? True Suppose -3*l + 47141 = 4*s, -3*s + 5*s + 5*l - 23553 = 0. Is s a prime number? True Let c(y) be the first derivative of 9*y**3 - 6*y**2 + 14*y + 10. Is c(7) a composite number? True Let j be 0 + 6/(-3) - (4 - 1). Is (0 + 6 + j)*(10435 - 2) prime? True Let i = -30367 + 44852. Is i composite? True Suppose 55 = -u + 12*u. Suppose 3*j - 5*j - 5*b = -11500, -u*j - b = -28773. Is j a prime number? False Let q(g) be the second derivative of -g**4/12 - 13*g**3/6 + 9*g**2 + 4*g. Let r be q(-14). Suppose -5*l = 20, -l - 24 = r*j - 6*j. Is j a composite number? True Let i = 30 + -26. Let n(j) = -5 - j**2 - j + i - 10*j. Is n(-10) a composite number? True Is (76/(-228))/((-1)/2247) a prime number? False Let p(k) be the third derivative of -4*k**2 + 0*k - 7/24*k**4 + 1/6*k**3 + 1/120*k**6 + 0 + 7/60*k**5. Is p(-6) composite? False Suppose -u + 139 = -0*o + 4*o, 107 = u - 4*o. Let b = 361 - 357. Suppose 0 = -b*z + 1631 - u. Is z prime? False Suppose 3*h + 4*l - 402 = -143, 2*h - 173 = -3*l. Suppose 0 = -x - 3, -4*j + 5*x = -126 - h. Is j prime? False Let j = 164 - -47. Suppose -j = -0*u - u. Is u composite? False Suppose -87*j - 146597 = -98*j. Is j a composite number? False Suppose 27834 = 13*h - 67703. Is h composite? False Suppose -6*s + 4*s + 4*o + 464 = 0, 4*s - 5*o - 919 = 0. Suppose 2*h - 466 + 54 = -2*a, a - 3*h - s = 0. Is a a prime number? True Let p(c) = -57 + 18*c - 83*c + 16. Is p(-12) a composite number? False Let k(i) = -930*i**3 - 3*i**2 - 6*i + 1. Is k(-2) a composite number? True Suppose -4*z + 2*z = -7898. Is z prime? False Let s be (-246)/14 + 12/(-28). Let v be -1 - 41/(-1 - 0). Let m = v + s. Is m prime? False Suppose -3*i + 37243 = i + y, 4*y + 46559 = 5*i. Is i a composite number? False Let r = 323 + 146. Is r prime? False Let n(h) = -150*h - 14. Let m be n(-4). Suppose 3*v - m = -2*d, v - 5*d = 3*v - 398. Is v a prime number? False Let a(f) = -21*f + 4*f - 4 + 6*f. Is a(-6) composite? True Let x(s) = -s**2. Let t(v) = v**2 + 1. Let f(m) = -57*m**2 + 11*m - 16. Let c(y) = -f(y) - 4*t(y). Let g(a) = c(a) + 5*x(a). Is g(5) composite? True Let j(b) be the second derivative of 41*b**3/2 - 5*b**2 + 11*b. Is j(9) prime? True Let k = 602 - 1036. Let r = 525 - k. Is r a composite number? True Let x(m) = -183*m + 36. Let u be x(-9). Suppose 0 = 14*p - 5*p - u. Is p a composite number? True Let r = -30 - -33. Suppose -r*m + 369 = -1098. Is m composite? True Let z = -317 + 2680. Is z a composite number? True Suppose -1552 = -11*q + 2815. Is q a prime number? True Suppose -5*u = 3*h - 3751, 0*h - h = -2*u + 1496. Let f = u - 354. Is f composite? True Suppose -67 = -5*t - 0*t - 2*j, 10 = 2*t + 5*j. Let a = -12 + t. Suppose -a*m = -6*m + 1293. Is m a composite number? False Suppose -9*k = -13*k + 228. Let i = k + 241. Is i prime? False Let v be ((-1)/(-3))/((-1)/(-6)). Let c = -3 + v. Is 2 + 2 - -2 - c a composite number? False Let n(c) = 12*c + 13. Let z be 6/4*36/27. Suppose -2*g = z*g - 36. Is n(g) a prime number? False Let l = 2752 - 315. Is l a prime number? True Suppose -6*l = -0*l - 126. Let s(z) = z**3 - 20*z**2 - 17*z + 13. Is s(l) a prime number? True Let k(f) = 17*f - 3. Let m be k(-8). Let x = 473 + m. Suppose 0 = -p + 3*p - x. Is p composite? False Suppose -r + 42 = 5*r. Let h(d) = 41*d. Is h(r) composite? True Suppose 0*x = x + n - 466, -n = 0. Let l = -254 + 93. Let c = x + l. Is c a composite number? True Suppose -2*x - 3*x = -2*w, -5*w = -2*x. Suppose 5*f = -g + 415, -f + 2*g - 2 + 85 = w. Is f a prime number? True Is -2 + 4/(-30) + (-775931)/(-195) a composite number? True Let j(n) = n**3 - 10*n**2 + 7*n - 10. Suppose -13 = -3*a - 4*m, -2*a - 4*m + 7*m + 20 = 0. Let b be j(a). Let h = b + 295. Is h a composite number? True Let c = -7472 + 11265. Is c prime? True Let s(q) = -14*q + 20. Let o be s(2). Is (o/6)/(2/(-87)) a prime number? False Let g(c) = -5*c**2 + 2*c + 2. Let m be g(2). Let o = 29 - -36. Let i = o - m. Is i prime? True Let w be -2*(0 + -3) - (1 + 2). Is w/6 + 8882/4 a prime number? True Let o(f) = 219*f + 6. Let z be o(-4). Suppose 0*l - 2*l - 18 = 0. Is ((-6)/l)/((-4)/z) prime? False Let g be (-3)/((-135)/(-6)) - 224/(-105). Is g/3 - 13685/(-51) a prime number? True Let s(r) = -r**2 - 3*r + 23. Let d be s(-6). Suppose b - 160 = -m + 4*b, -5*b + 780 = d*m. Is m prime? True Let p be 2/6 - 413/(-21). Is 622/2 + 0*(-4)/p a composite number? False Is ((-5034)/(-18))/(2/6) composite? False Suppose 0 = 4*u - 0*u. Suppose 0 = -u*i + 2*i - 6. Suppose 4*d - 115 = i*d. Is d a prime number? False Let y(r) = 7738*r**2 + 29*r - 61. Is y(2) a composite number? False Let z(t) be the first derivative of -t**4/4 + t**3/3 + t**2 + 235*t - 16. Is z(0) composite? True Let c(h) = -20*h - 6. Let k(f) = f**2. Let p(l) = -c(l) + 3*k(l). Is p(7) a prime number? True Is (-3 + (-1742)/4)/(6/(-12)) a composite number? False Let y(g) be the second derivative of -g**4/12 - 4*g**3/3 + 7*g**2/2 + g. Let u(f) = f**3 - 5*f**2 - f - 2. Let c be u(5). Is y(c) composite? True Let b(k) = 3*k**3 + 22*k**2 + 2*k - 1. Is b(18) a composite number? False Let n(r) = 39*r**2 - 39*r + 3. Is n(-8) composite? True Suppose -2*b = 5*a + 43, b - 4*a + a = -16. Let d = 19 + b. Suppose d = -2*j - 2*z + 588, 175 = j + 2*z - 122. Is j composite? True Let c(j) be the first derivative of 2*j**2 + 1/4*j**4 - 5/3*j**3 - 4 + j. Is c(5) a prime number? False Suppose -4*p + 43573 = 5*m, 3*p = 5*m - 0*p - 43559. Is m prime? True Suppose 30 - 5 = 2*h - 3*s, -4*h + 5*s = -45. Suppose -379 - 2076 = -h*w. Is w a composite number? False Let m(p) = -p - 3. Let t be m(-6). Let s(h) = 33*h**2 + 2*h + 4. Is s(t) composite? False Let i = 95063 + -3066. Is i a prime number? True Let o(n) = n - 4. Let r be o(4). Suppose 3*c + 1136 = 2*w - 1028, r = -4*w - 4*c + 4328. Let b = w - 595. Is b a prime number? True Let m(v) = -114*v + 511. Is m(-18) a prime number? False Suppose w + w - 22 = 0. Let s = -12 + w. Is (s/(-3))/((-12)/(-1692)) prime? True Let a = 24 - 11. Let m = a + -8. Is (m/1)/((-2)/(-46)) prime? False Let m = 1689 + 524. Is m a composite number? False Is (228/8*2)/((-6)/(-718)) a prime number? False Suppose 2*r + 4 = 18. Is -3086*(28/(-8))/r prime? True Let x = 9174 + 3983. Is x composite? True Suppose x - 2*x + 2770 = -3*h, 5*x + h = 13930. Suppose t + 0*t - x = -5*j, -2*j + 1114 = -2*t. Is j a composite number? False Let m(k) = 21*k**2 -
{ "pile_set_name": "DM Mathematics" }
6/(-9))/2. Let n be (19 + (-2 - b))/2. Is k(n) a multiple of 22? False Let z(f) = f**3 + 13*f**2 - 20*f + 7. Let y be z(-14). Suppose 0 = k - y + 23. Is 34 a factor of k? True Suppose 3*p - 5*a = -56, -5*p = -4*p - a + 16. Let m = -4 - p. Does 5 divide m? False Let r = -5 - -10. Suppose -2*s = r*h - 3*s - 50, 3*h = s + 32. Let w = h - -4. Does 13 divide w? True Suppose -3*u + 33 = -9. Is 4 a factor of u? False Suppose -5 = -5*t + 10. Suppose 4*p - z + 15 = 0, 0 = 5*p - t*z + 6 + 4. Is 5*5 - (-10)/p a multiple of 9? False Let v(m) be the third derivative of -m**4/6 + 7*m**3/6 - m**2. Is 17 a factor of v(-11)? True Let d(i) = i**2 + 7*i + 11. Does 35 divide d(-10)? False Let b be 7/(-7)*(-2)/(-2). Does 13 divide (-392)/(-10) + b/5? True Suppose 7*z = 4*z + 24. Suppose w - 74 = -2*c, 26 = c + 3*w - z*w. Is 13 a factor of c? False Let f = 7 + 0. Let q(s) = s**2 - 7*s + 3. Let w be q(f). Suppose -w*l = -l - 18. Is l a multiple of 5? False Let k(t) be the first derivative of 1 + 2/3*t**3 - t - 3/2*t**2. Does 13 divide k(-2)? True Suppose 3*c - 299 = -4*p, 0 + 2 = -2*p. Is c a multiple of 12? False Let k(v) = 10*v - 2. Let u be k(8). Let s = u + -37. Is 18 a factor of s? False Let z = 9 - 5. Let x = -14 + 19. Suppose v - 5 = -l, -z*l - 4*v = -3*l - x. Is l a multiple of 3? False Suppose 3*f - c = -165, -f - 2*f + 2*c = 165. Let j(l) = l**2 + 11*l - 4. Let r be j(-6). Let u = r - f. Does 17 divide u? False Let c be (-10)/(-30)*(-618)/4*2. Suppose -3*h + 94 + 51 = -2*n, 0 = n + 4*h + 78. Let b = n - c. Does 8 divide b? False Let d = 128 - 74. Does 27 divide d? True Suppose -7 = z - 6*z + 4*t, 22 = 4*z + 5*t. Does 15 divide (-1 - 55/z)*-3? False Let v = 44 + -42. Suppose 6*f + 15 = 4*b + 3*f, 3*f = -2*b + 21. Let m = b + v. Is m a multiple of 6? False Let p = -5 + 4. Is 7 a factor of (p + 12 - 3)/1? False Let k = 37 - 23. Is 7 a factor of k? True Let x = -12 + 23. Is x even? False Let n(i) = -i**2 - 9*i - 14. Let t be n(-6). Let l be (-9)/2*20/(-2). Suppose -t*a + l = a. Does 9 divide a? True Let t(h) = 11*h + 3. Let w be t(7). Suppose 0 = 6*p - 2*p - w. Is p a multiple of 10? True Let d be (0 - (-4)/10)*10. Is (-32)/(-6) - d/(-6) even? True Let k = -20 - -29. Is 3 a factor of k? True Let m(k) = -34*k + 4. Does 7 divide m(-1)? False Suppose 0 = -3*m + m + 4. Let o(l) = -l**3 + 2*l**2 + 1. Let s be o(m). Let w = s + 7. Is w a multiple of 4? True Let i(p) be the third derivative of -p**6/120 + p**5/10 + p**4/6 + 2*p**2. Is 8 a factor of i(6)? True Suppose 0 = 2*w - x + 13, 3*w - 5*x = -2*x - 21. Let d(r) = -9*r - 6. Does 12 divide d(w)? True Suppose -14*r - 3*r = -221. Is 2 a factor of r? False Suppose 3*n = v - 38, -1 - 5 = 2*n. Does 8 divide v? False Let w = 382 - 247. Suppose -5*f + a = -w, -15 = 3*a - 0*a. Is f a multiple of 8? False Let w = 36 - 21. Is w a multiple of 7? False Let q = -27 - -6. Let t = -10 - q. Let p = t + -5. Is 3 a factor of p? True Is 26*1 + 0/8 a multiple of 26? True Suppose 103 + 17 = 3*t. Does 8 divide t? True Suppose -5*o = 31 - 291. Does 29 divide o? False Let b = -33 + 87. Is 18 a factor of b? True Let n be (-2)/(-1) + -14 + -3. Does 14 divide (-212)/(-10) + 3/n? False Let s = 51 + 60. Suppose 0*y = -3*y + s. Is y a multiple of 11? False Suppose -3*j + 6 + 0 = 0. Suppose -5*h + 180 - 65 = 5*k, -k - j*h = -22. Does 24 divide k? True Let u = 3 - -3. Is 3 a factor of u? True Suppose f + 40 = -3*b + 2*f, -3*f + 45 = -4*b. Let h = b - -18. Does 2 divide h? False Is 36 a factor of -1 - (-5)/7 - (-7874)/217? True Suppose -7 = i - 1. Let r be (1 + i)*(-6 - 4). Let d = r + -10. Is d a multiple of 11? False Suppose p + 357 = 3*h, -2*h + p + 237 = -0*h. Is h a multiple of 4? True Suppose 4 = -2*a, 5*d = -0*d - 5*a + 70. Let s = d - 7. Is 6 a factor of s? False Let k(b) = -b + 10. Let n be k(11). Let z be -66*1*n/2. Let a = z - 18. Is a a multiple of 11? False Suppose -4*x + 7 = -2*j - 1, -20 = -3*x - 2*j. Suppose -43 = -x*y - 11. Is y a multiple of 8? True Let a = 4 + -6. Is 79/4 + a/(-8) a multiple of 10? True Let j(g) = g**2 - 4*g. Let q be j(3). Is (108/(-28) + q)*-7 a multiple of 16? True Suppose -3*c = -2 - 19. Suppose 5*r = 2*s - 103, c*s = 2*s + 5*r + 235. Is s a multiple of 20? False Suppose -10*h + 6*h = 16, -426 = -2*n - h. Is n a multiple of 13? False Suppose -12 = -17*q + 14*q. Is 2 a factor of q? True Let x(y) = 0*y + y - y**3 + 57 - 9. Is 12 a factor of x(0)? True Let r be (2 + (-9)/2)*2. Let g be 5*r*-1 + 0. Let u = g - -3. Does 19 divide u? False Suppose -a - 3*o = -99, -3*a + 2*a + 102 = 2*o. Is 18 a factor of a? True Suppose m + 4*j - 54 = -m, 0 = 4*m + 3*j - 113. Suppose 2*o + 3*o + 3*n - m = 0, -7 = -o - n. Suppose 0 = x - 0 - o. Does 4 divide x? True Let w(s) = 13*s**2 - 1. Let r be w(1). Suppose 4*b = b + r. Suppose l - b*f = -3*f + 22, -3*l + 68 = -4*f. Is 10 a factor of l? True Let u(o) be the third derivative of -o**6/60 - o**5/15 + o**4/6 + 7*o**3/6 + o**2. Let d be u(-5). Let q = -92 + d. Is q a multiple of 17? False Let t = 33 + -47. Let c(f) = f**3 + 14*f**2 - f - 4. Is c(t) a multiple of 6? False Does 9 divide 4/(-2)*(-162)/12? True Let i(h) = 2*h**3 + 2*h**2 - h + 6. Is 39 a factor of i(3)? False Let o be (3/(-5))/((-2)/10). Let n(t) = -5 + 0*t + o + 0*t + t. Does 4 divide n(6)? True Suppose 28*u - 26*u - 38 = 0. Does 4 divide u? False Let s be 2 + (-136 + 0)*-1. Let x = s - 17. Suppose -3*z - 2*f = -86, -5*z + 18 + x = -f. Is z a multiple of 14? True Let f = -16 - -10. Let j = f + 8. Does 20 divide ((-8)/3)/(j/(-15))? True Let f be ((-74)/4)/((-3)/6). Let c(d) = d - 2. Let g be c(5). Suppose 8*t - g*t = 3*j - f, 2*t = 4*j - 54. Is 14 a factor of j? True Let s = 138 + -82. Is 27 a factor of s? False Is ((-74)/(-6))/(2/6) a multiple of 8? False Let d = -187 + 466. Does 31 divide d? True Suppose 5*i - 1686 + 377 = -2*l, -2*l + 787 = 3*i. Is i a multiple of 22? False Let v(r) = r**3 - 13*r**2 + 12*r - 3. Let f be v(12). Is 14 a factor of 8/(f + (-92)/(-28))? True Suppose -5*p + 10 - 55 = 0. Let b = 10 - p. Let l = 51 - b. Is l a multiple of 21? False Does 11 divide ((-110)/(-25))/(1/10)? True Let q(v) = v**2 - 8*v - 7. Let g be (-7)/(-35) + 108/10. Is 9 a factor of q(g)? False Let r = -228 + 358. Suppose -r = -3*q + 4*f, 0 = -2*q + q + f + 44. Is 12 a factor of q? False Suppose 2*g = 4*d + 217 + 19, 0 = -3*g + 4*d + 350. Suppose -g = -0*n - 3*n. Is 12 a factor of n? False Let w = -207 - -366. Is w a multiple of 44? False Suppose 0 = -3*b + 2*b + 137. Let a = -95 + b. Is a a multiple of 9? False Let l be 22/6 + 1/3. Let m(a) be the first derivative of a**4/4 - a**3 + a**2 - 5*a + 4. Is m(l) a multiple of 14? False Suppose 2 + 2 = -4*i, -4*o - 2*i + 382 = 0. Is o a multiple of 8? True Suppose 3*x - 4*r - 4 = 6, -3*x - 4*r + 2 = 0. Let a be (-1 + 3 - 0)/x. Does 17 divide a - -30 - (1 - -2)? False Let d(j) = 26*j + 1. Let m be d(-1). Is 12 a factor of (-5 - -4)/(1/m)? False Let x(d) = d**3 - 6*d**2 + 5*d + 2. Let h be x(5). Suppose -p + h*p = 31. Is p a multiple of 10? False Let b(o) = -116*o**3 + o**2 + o. Is 10 a factor of b(-1)? False Let q(t) = t**3 - t**2 - 5*t + 6. Let w be q(4). Does 13 divide w*1 + (0 - 3)? False Suppose 2*w = -2, -3*s - w + 107 + 60 = 0. Let n = 78 - s. Does 6 divide n? False Suppose 2*w = -1 + 65. Does 16 divide w? True Let a = 17 + -19. Let q(s) = 3*s**2 - 3 + s**2 + 1. Is 14 a factor of q(a)? True Suppose 2*d + 30 = 5*d. Is 5 a factor of d? True Suppose -2*m + 60 = 3*m. Suppose -20 = -5*p + 3*q, 3*p + 4*q - m = 3*q. Suppose -5*l = p*a - 104, 2*a + 126 = 4*l + 22. Is l a multiple of 12? True Suppose 4*o = 6*o + 6. Let h be 3/o*(0 + 7). Does 9 divide (4 + h)/((-2)/6)? True Suppose -2*b - 5*v - 24 = -176, 434 = 5*b - v. Let h = 102 - 154. Let g = b + h. Does 12 divide g? False Let v(n) = -n**2 - 6*n. Let d be v(-5). Suppose -6 = -6*h + d*h. Does 4 divide h? False Let p be 1*3 + (2 - 0). Suppose 2*i - p - 9 = 0. Let o = 13 + i. Does 15 divide o? False Let g = 2 + 0. Let k = g - -1. Suppose 0 = 2*s + k*s - 10, -4*a + 74 = 3*s. Is 17 a factor of a? True Suppose -7*q = -3*q + 12. Let a(l) = 4*l**2 + l. Let b be a(q). Suppose -g - w = -0*g - b, 2*g - 4*w = 42. Is 17 a factor of g? False Let f = -92 + 121. Does 6 divide f? False Let m = 41 + -23. Is m a multiple of 18? True Suppose f - 5
{ "pile_set_name": "DM Mathematics" }
w. 1 Solve 5*f - 11 = 3*w, -12*w + 14 = -f - 18 for f. 4 Solve 4 = 2*x + 4*n, -18*x + 5*n - 4 = -21*x for x. -2 Solve 3*i + 7 = -4*u, 3*u - 3*i + 7*i + 14 = 0 for u. 2 Solve 3*n + 15*m = 11*m - 24, 5*m + 15 = 0 for n. -4 Solve i + 2*g = 9, 123*i = 121*i - 5*g + 23 for i. -1 Solve 0 = 2*w - 0*w - 2*g + 6, 5*g - 11 = 4*w for w. -4 Solve 2*p - 6 = -4*i, -i + 3*i + 3*p = -7 for i. 4 Solve -5*j = -2*b - 35, -2*j + j = -5 for b. -5 Solve -2*m = 4*i - 28, 0 = 3*i + 2*i - 25 for m. 4 Solve -2*n = -14*w + 18*w + 28, 3*n + 4*w + 32 = 0 for n. -4 Solve 23*z - 15 = -5*w + 28*z, w = 3*z + 9 for w. 0 Solve 5*v - 118 = -138, -2*s - 3*v - 20 = 0 for s. -4 Solve 3*l - 3 = -j + 6, 4*l = 3*j + 25 for l. 4 Solve 0*d + 5*t = 2*d - 13, -4*d = t + 7 for d. -1 Solve -18*u - 2*f = -14*u + 2, 0 = -4*u + 5*f - 23 for u. -2 Solve w = 3*a - 2, 10 = -5*a + 13*w - 14*w for a. -1 Solve b - 4*o = -18, -3*b - 2*b + o = 14 for b. -2 Solve -4*a - 3*h + 32 = 0, 16*a - 5*h = 15*a - 15 for a. 5 Solve -o + 22 = 5*x, -3*x + 0*x + o = -18 for x. 5 Solve -6*k + 5*k + 3*r = -14, 2*k = -3*r + 1 for k. 5 Solve -5*y + 9 = -0*y + 2*z, 0 = -2*z + 4 for y. 1 Solve -13 = -4*s - g, 3*s - 3*g + 2 - 8 = 0 for s. 3 Solve 2*n - 10*u + 5*u + 1 = 0, -4*n - 14 = 2*u for n. -3 Solve -4*g - 5*s - 10 = -g, -5*s - 10 = -g for g. 0 Solve 0 = 3*a + 5*r - 4, -22*r + 6 = 3*a - 19*r for a. 3 Solve 0*d - 4*m = -3*d - 21, 4*m - 12 = 0 for d. -3 Solve -23*k = 2*t - 21*k + 6, 4*k + 26 = 3*t for t. 2 Solve 0 = 2*f - 10, 4*l - 10 = -2*f + 4*f for l. 5 Solve -d + q = 2, 1 = -d + 2*q - 2 for d. -1 Solve 4*b = 2*c + 14, -3*c + 2*b - 17 = -0 for c. -5 Solve 20 = -m + 5*p, m - 7*p = -3*p - 16 for m. 0 Solve 2*g - 16 = -4*n, 23*g = 21*g + 8 for n. 2 Solve 0 = -v + 3*r - 9, v + 3 = 4*r - 9 for v. 0 Solve 5*w - 16 = 4*q, -q + 1 = 3*w + 5 for q. -4 Solve 3*k + 1 = -i, k - 15*i + 12*i - 3 = 0 for k. 0 Solve 5*c - 3*y - 32 - 2 = 0, -5 = -4*c - 5*y for c. 5 Solve 0 = 2*y - 2, -2 = -5*j + y - 3 for j. 0 Solve 3*d + 14 = -n, -d + 8 + 4 = -3*n for d. -3 Solve -3*z + 18*i - 30 = 23*i, 4*z - 4*i = -8 for z. -5 Solve 2*x - 2*a = 6, 42*a - 44*a - 10 = -3*x for x. 4 Solve 3*m = -2*c + 25, -12*c - 10 = -15*c + m for c. 5 Solve 2*m - 5*t - 5 = 0, -4*m - t - 2 = -1 for m. 0 Solve 5 = -o - 4*k, 9*o = 6*o + 2*k - 1 for o. -1 Solve 2*a = -5*i - 0*a + 16, -13 = i - 5*a for i. 2 Solve -489*w - 14 = -2*z - 487*w, 0 = 4*z - 2*w - 18 for z. 2 Solve 3 + 1 = -4*f, w + 2*f + 4 = 0 for w. -2 Solve 0 = 4*n + 40*m - 36*m + 8, 0 = 5*n + m + 22 for n. -5 Solve s - 4*a + 4 = 0, 0*s - 3*a = s - 3 for s. 0 Solve -5*v = -2*v + 2*g + 9, 2*v = -2*g - 6 for v. -3 Solve 0 = 3*v - 5*p, 3*p + 3 = -4*v + 32 for v. 5 Solve -4*l + 4*d - 38 = -14, l - 4*d = -15 for l. -3 Solve -120*q - 5*i - 35 = -124*q, -10 = -5*q - 5*i for q. 5 Solve 0 = 4*g, g - 9 = -0*v - 3*v for v. 3 Solve -k + w = 6, 17*k - 2*w + 20 = 13*k for k. -4 Solve 4*o + 4*c = 0, -2*o + 5*c = -9 + 23 for o. -2 Solve -10 = -5*z, 2*c - 5*z + 10*z = 0 for c. -5 Solve -2*h + 7 = j, 17*j = 3*h + 15*j + 7 for h. 1 Solve -3*s = -r - 13, 0*s + 3*s = -r + 11 for s. 4 Solve 2*l = 4*q - 4, 2*l + 5*q = 6*l - 1 for l. 4 Solve 10*t - 23 = 5*g + 7*t, 0 = 4*t - 4 for g. -4 Solve -5*l - 18 = -3*l - 3*n, -5 = -5*l - 5*n for l. -3 Solve -17 = -3*w + 5*k, 0 = 166*k - 171*k - 5 for w. 4 Solve 11*v - g + 6 = 8*v, -4*v = g + 15 for v. -3 Solve 3*y - 23 = 4*m, 13*m = 14*m - 3*y + 17 for m. -2 Solve 0 = 4*x - 4, 12 = -5*j + 2*x for j. -2 Solve -3*p - 21 = 3*o, -33*p + 31*p + 7 = -5*o for p. -4 Solve 0 = 5*k + 4*n + 16, -2*k - 35 = -4*n - 51 for k. 0 Solve -2*w = -2*k - 3*k + 16, -2*w + 3*k = 12 for w. -3 Solve 5*h - 19 = -3*p - 2, h = 5*p + 9 for h. 4 Solve 2*a - m - 5 = 0, 4*a - 5*m = -3 + 28 for a. 0 Solve 2*p - 3*a - 30 = -7*a, 4*p + 2*a = 30 for p. 5 Solve -4*h - 11 = -3*p, 2 = 5*h + 4*p - 23 for h. 1 Solve 2*o = -5*n + 12, 3*n - 29*o - 10 = -33*o for n. 2 Solve 0 = -y + 3*s + 18, -4*y + 4*s + 43 = 11 for y. 3 Solve -4*k + 4*q + 5 = 1, -5*q = -15 for k. 4 Solve 2*j = -2*j - 4*o + 12, 4*j - 2*o + 18 = 0 for j. -2 Solve 4*t - 22 = -18*d + 13*d, 4*d + 5*t - 23 = 0 for d. 2 Solve -6*f + 5*f + 3*y + 8 = 0, -2*f + 2*y + 12 = 0 for f. 5 Solve 5*r - 5*s = 5, 2*s = r + 7*s + 23 for r. -3 Solve 3 = -3*p - 3*i, -6*i = -8*i for p. -1 Solve 2*a - 2*y + 16 = 0, a + y = -y + 1 for a. -5 Solve -4*l - 30 + 45 = -5*d, -3*d - 9 = -2*l for l. 0 Solve -2*v = x - 2, 6*v = x + 4*v - 6 for x. 4 Solve 0 = -25*n + 24*n + 2, -5*g + 2*n = -16 for g. 4 Solve d - 5*d = 4*m - 16, -8 = -4*m + 4*d for m. 3 Solve -5*w + 30 = 4*q, 0 = -4*q + w + 3*w + 12 for q. 5 Solve -4 = -k - 3*k - 2*g, 7*g = -5*k + 23 for k. -1 Solve -2*p = 4*u, 31*p - 36*p + u = 22 for p. -4 Solve -b = b + 3*y - 11, y + 2 = 5*b for b. 1 Solve -5*f + f - 36 = -5*q, -5*q = 5*f for f. -4 Solve 3*q - 4*j + 6 = 0, 2*q + 4 = -19*j + 20*j for q. -2 Solve -15 = 2*j - l, -42 = j - 4*l - 17 for j. -5 Solve -3*c + 2*k + 17 = 4, 0 = -2*c + 3*k + 7 for c. 5 Solve 4*j + 13 = -2*n - j, 5*j = -3*n - 17 for n. -4 Solve 4*b - 1 + 6 = -5*c, c - 5*b = -1 for c. -1 Solve -2*p = 10*l - 15*l + 19, -6*l = 2*p - 14 for p. -2 Solve 0 = 3*v + 5*y - 3, 0 = -0*y + 2*y + 6 for v. 6 Solve -3*w - w = 2*u - 10, -2*w - 2*u = -10 for w. 0 Solve s + 14 = -3*o, o - 2 = -2*s - 15 for s. -5 Solve t - 1 = -3*h - 9, -3*h = 2*t + 13 for h. -1 Solve 0*y = 3*y - 4*n + 10, -11 = 4*y - 3*n for y. -2 Solve -3*b = 15, c - 2*b = -2*c + 10 for c. 0 Solve 0 = 3*w - 2*h + 13, 7 = -5*w + 3*w + h for w. -1 Solve -3*j + 8*j = 4*l + 13, 3*j = -2*l - 1 for j. 1 Solve 5*p = 15, 4*l - l + 3 = -2*p for l. -3 Solve -2 = z - 2*p - 3, -4*z - 3*p - 29 = 0 for z. -5 Solve -1 = q, 10*i - 26 = 15*i + q for i. -5 Solve -v - 7 = -5*u - 2, 3*u = v + 1 for u. 2 Solve -5*b - 2*w + 77 = 73, -4*w + 8 = -5*b for b. 0 Solve -k - 5*r + 2*r + 21 = 0, 0 = -r + 5 for k. 6 Solve 13*w + 4*d - 4 = 15*w, 3*w = 4*d - 6 for w. -2 Solve -5*n - 36 = 3*d - d, 5*n + d = -33 for n. -6 Solve 2*q + 9 = -z, 2*q + 2*q + 3*z = -21 for q. -3 Solve 0 = -3*b - c - 5, -c - 4 = 4*b + 4 for b. -3 Solve 5*f - 6 = -4*c, 4*f + f + 18 = 2*c for f. -2 Solve -4*t + 2*g + 4 = 6, 4*g - 20 = 0 for t. 2 Solve -4*n + 35 = -2*n + 5*i, 3*n + 2*i = 25 for n. 5 Solve -2*d + 17*z - 22*z + 2 = 0, 3*d - 3*z + 18 = 0 for d. -4 Solve 3*a + 6 = -5*p + 4*a, -14 = 3*p + 2*a for p. -2 Solve -8 = 5*m - 28, 26 = -2*c + 5*m for c. -3 Solve 0 = 5*d - j - 5, 2*d - 7*d - 5 = -3*j for d. 2 Solve -s + 2 = 0, -14 + 3 = -3*x - s for x. 3 Solve 4*x = -4*i - 16, 0*x = i - 5*x - 20 for i. 0 Solve 5*j - 9 = 3*y, 2*y - 4*y + 16 = 4*j for y. 2 Solve 4*d = -3*b - 11, -b - 5*d = 156 - 134 for b. 3 Solve 3*b - 14 = -5*n, -6 = -39*b + 36*b - 3*n for b. -2 Solve 4*c - 2*t + 24 = 0, 9*t - 8 = 5*t for c. -5 Solve 0 = 4*u - 4*l + 16, -u - 5*l = 28 - 18 for u. -5 Solve 0 = -3*a, 2*a = -2*x + 3*x - 4 for x. 4 Solve -5*a = -4*v + 16 + 14, -5*a - 5*v + 15 = 0 for a. -2 Solve u + 0*u + 2*y - 5 = 0, -y = -u + 5 for u. 5 Solve 0*t + 15 = 2*m + 5*t, m - 15 = -4*t for m. -5 Solve 0 = -4*t + 3*d + 25, 3*t = -3*d + 1 + 2 for t. 4 Solve 10 = 5*z - 3*a, 0 = -2*z + 9*a - 4*a - 15 for z. 5 Solve 2*d + 4*h = -h + 18, 2*d - 6 = h for d. 4 Solve -l + 5*l - 2*d + 26 = 0, 3*l - d = -21 for l. -8 Solve 0 = -5*l + 10, d - l - 13 = 4*d for d. -5 Solve -2*g + 2 = 4*b, g + b + 2 = -0 for g. -5 Solve -4*t + 4*z = -20, -5*t - 25*z + 22*z - 23 = 0 for t. -1 Solve a = 4*o + 13, 170 = -3*a - 4*o + 145 for a. -3 Solve 0 = 5*r - q - 22, -r = -4*r + 5*q + 22 for r. 4 Solve 4*g = -5*q - 29, -3*q - 16 = -1 for g. -1 Solve -4*u + 2*r - 3*r + 7 = 0, 2*u + 5*r = -1 for u. 2 Solve -6*y + y - 55 = 5*l, -3*y - 18 = 0 for l. -5 Solve 0 = 2*g + m + 1, 0 = -g - 4*m + 9 - 27 for g. 2 Solve -16 = 3*q - 4*v, -q - v + 4 = -2*q for q. 0 Solve -2*k + 24 = 5*n, 0 = -2*n + 2*k - 0 + 4 for n. 4 Solve 2*s = -8, 0 = -40*b + 45*b + s + 9 for b. -1 Solve 2*m = 8, b - m - m + 3 = 0 for b. 5 Solve 4*o + 16 = 4*v, 12*v - 7*v - 12 = o for o. -2 Solve -4*h - 9*r = -13*r - 28, 3*h = -2*r - 4 for h. 2 Solve 15*f - 13*f - 4*t = -4, 5*f = 4*t + 8 for f. 4 Solve 0 = 3*m + 2*a + 6, 0 = -5*m - 5*a + 4*a - 3 for m. 0 Solve 5*p + 8 = -3*g, -4*g + 5*p = -21 + 20 for g. -1 Solve -5*b - 5*a - 10 = -2*a, b + 5*a = 20 for b. -5 Solve -8*q + 3*z = -10, -10*q = -5*q + 5*z - 20 for q. 2 Solve 4*w - 3*b = 7*
{ "pile_set_name": "DM Mathematics" }
factor of 744 and 1364. 124 Calculate the greatest common factor of 5066 and 2108. 34 Calculate the highest common factor of 12142 and 4203. 467 Calculate the highest common divisor of 481878 and 171. 171 What is the highest common divisor of 174914 and 3040? 38 What is the highest common divisor of 443533 and 1? 1 Calculate the highest common divisor of 3395 and 16005. 485 What is the greatest common divisor of 12 and 183588? 12 What is the highest common factor of 165 and 4191? 33 What is the highest common divisor of 24 and 181236? 12 Calculate the highest common factor of 7326 and 1606. 22 Calculate the highest common divisor of 109164 and 6204. 132 Calculate the greatest common divisor of 8740 and 185380. 460 Calculate the highest common factor of 2100 and 4470. 30 What is the greatest common factor of 10150 and 58435? 145 Calculate the greatest common factor of 1620 and 99. 9 Calculate the highest common divisor of 109 and 3681257. 109 Calculate the greatest common factor of 18148 and 21638. 698 What is the greatest common factor of 30 and 57945? 15 What is the highest common factor of 86925 and 183? 183 What is the greatest common factor of 845 and 611? 13 Calculate the greatest common factor of 518 and 15947. 37 What is the highest common divisor of 13 and 66131? 13 Calculate the greatest common factor of 36060 and 330. 30 What is the highest common factor of 28678 and 78? 26 Calculate the highest common factor of 29 and 4379. 29 What is the greatest common factor of 198 and 23012? 22 Calculate the greatest common factor of 35 and 13867. 7 What is the highest common factor of 8591 and 1349? 71 What is the highest common factor of 1084009 and 53? 53 Calculate the highest common divisor of 44 and 1123914. 22 Calculate the greatest common factor of 848 and 12528. 16 What is the highest common factor of 624778 and 264? 22 What is the highest common divisor of 110 and 115566? 22 What is the greatest common factor of 92424 and 24? 24 Calculate the highest common divisor of 306 and 585558. 18 What is the greatest common divisor of 315 and 1085? 35 What is the greatest common factor of 909 and 22119? 303 What is the greatest common divisor of 38115 and 126? 63 What is the greatest common divisor of 256 and 7776? 32 What is the greatest common divisor of 217 and 1085? 217 What is the greatest common divisor of 40430 and 25870? 130 What is the greatest common divisor of 1304 and 32763? 163 Calculate the greatest common divisor of 1016 and 3374136. 1016 What is the greatest common divisor of 3732 and 84? 12 What is the highest common factor of 217 and 7471? 31 Calculate the greatest common divisor of 327 and 684084. 327 What is the highest common factor of 12844 and 21774? 38 Calculate the highest common divisor of 2092408 and 29. 29 Calculate the greatest common divisor of 1212 and 3. 3 What is the highest common factor of 41451 and 123? 123 What is the highest common factor of 339125 and 125? 125 Calculate the greatest common factor of 25699 and 527. 31 What is the highest common factor of 75 and 9625425? 75 What is the greatest common factor of 7535 and 959? 137 What is the greatest common factor of 123 and 1179201? 123 What is the greatest common divisor of 837 and 17701? 31 Calculate the highest common factor of 230 and 92. 46 Calculate the highest common divisor of 11977 and 236. 59 What is the greatest common divisor of 783 and 37671? 87 What is the highest common factor of 44 and 72589? 11 Calculate the greatest common factor of 116688 and 2145. 429 What is the greatest common divisor of 141266 and 1328? 166 Calculate the greatest common factor of 1134 and 86373. 189 Calculate the greatest common divisor of 1161 and 13502. 43 Calculate the greatest common factor of 76675 and 275. 25 What is the greatest common factor of 322065 and 45? 45 Calculate the greatest common factor of 826 and 14. 14 What is the highest common factor of 4639434 and 3? 3 What is the highest common divisor of 912 and 11402736? 912 Calculate the highest common factor of 258 and 53578. 86 What is the greatest common factor of 1133 and 165? 11 What is the greatest common divisor of 548369 and 17? 17 What is the greatest common factor of 276 and 153318? 138 What is the greatest common factor of 544 and 195568? 272 Calculate the highest common divisor of 49981 and 662. 331 Calculate the greatest common divisor of 8750 and 1400. 350 What is the highest common factor of 16102 and 50962? 166 Calculate the highest common factor of 16587 and 97. 97 Calculate the greatest common divisor of 23 and 18400. 23 What is the highest common divisor of 100359 and 413? 413 What is the highest common divisor of 5664 and 78? 6 Calculate the greatest common divisor of 1876 and 27. 1 Calculate the greatest common divisor of 198 and 9522. 18 What is the highest common factor of 19068 and 28? 28 Calculate the greatest common divisor of 333 and 1976503. 37 Calculate the greatest common divisor of 516 and 214269. 129 What is the greatest common divisor of 5 and 472930? 5 Calculate the highest common factor of 6467626 and 22. 22 What is the highest common factor of 138920 and 1104? 184 Calculate the greatest common divisor of 21762 and 52. 26 Calculate the highest common factor of 130770 and 18. 18 What is the highest common divisor of 11439 and 9594? 369 What is the highest common divisor of 25 and 158075? 25 What is the greatest common factor of 6 and 14995? 1 What is the highest common factor of 1386279 and 666? 333 Calculate the greatest common divisor of 2560 and 708. 4 What is the greatest common divisor of 18834 and 12126? 258 Calculate the highest common divisor of 4681 and 589. 31 What is the highest common divisor of 966 and 11914? 322 What is the highest common divisor of 2436 and 2186716? 812 Calculate the greatest common divisor of 17280 and 3648. 192 Calculate the greatest common divisor of 6112 and 27122. 382 What is the greatest common divisor of 9 and 4947? 3 What is the highest common factor of 672 and 753760? 224 Calculate the greatest common divisor of 25874351 and 29. 29 What is the greatest common divisor of 4394679 and 69? 69 What is the greatest common divisor of 112 and 30768? 16 Calculate the greatest common factor of 1791944 and 1232. 616 What is the greatest common divisor of 397157 and 38? 19 What is the greatest common divisor of 1184486 and 454? 454 What is the highest common factor of 3791 and 102? 17 Calculate the greatest common divisor of 8 and 216176. 8 Calculate the greatest common factor of 100 and 760. 20 Calculate the greatest common divisor of 216735 and 30. 15 What is the greatest common factor of 80 and 307470? 10 Calculate the highest common factor of 12 and 5819244. 12 Calculate the highest common divisor of 3243 and 1311. 69 What is the highest common factor of 98829 and 18486? 711 What is the greatest common divisor of 2127840 and 660? 660 What is the highest common factor of 19060 and 100? 20 Calculate the greatest common divisor of 1425 and 300. 75 What is the highest common factor of 70 and 36260? 70 What is the greatest common factor of 4761 and 929430? 207 Calculate the highest common divisor of 9 and 52040. 1 What is the greatest common factor of 1375 and 10375? 125 What is the greatest common divisor of 10416 and 128? 16 Calculate the highest common divisor of 134424 and 144. 72 Calculate the highest common factor of 281776 and 208. 16 What is the greatest common factor of 42 and 70952? 14 What is the highest common divisor of 50 and 90640? 10 Calculate the greatest common divisor of 66 and 41074. 22 What is the greatest common divisor of 225945 and 45? 45 What is the greatest common factor of 668148 and 416? 52 What is the greatest common factor of 357 and 4893? 21 Calculate the greatest common divisor of 65 and 748735. 65 What is the greatest common divisor of 53651 and 169? 13 Calculate the highest common factor of 742 and 17234. 14 What is the greatest common factor of 38 and 52174? 38 What is the greatest common factor of 1786 and 8554? 94 Calculate the greatest common divisor of 6005 and 15. 5 Calculate the highest common divisor of 5958 and 9. 9 What is the highest common divisor of 662924 and 636? 212 What is the highest common f
{ "pile_set_name": "DM Mathematics" }
base 9 882432 -f4fa9d (base 16) to base 14 -21bccd7 Convert 75585 (base 9) to base 14. 14354 Convert -1cc46 (base 14) to base 4. -102000132 What is -9a4747 (base 12) in base 16? -257527 -1222361 (base 7) to base 8 -462415 -55346 (base 7) to base 4 -3121031 3670125 (base 8) to base 15 14ebd2 What is 165313 (base 7) in base 11? 22948 110000010011010000001 (base 2) to base 15 213e4b Convert 13ec4 (base 15) to base 13. 23227 What is -1100110101011100100 (base 2) in base 4? -1212223210 Convert 14689417 (base 10) to base 6. 1242502321 Convert -1600041 (base 7) to base 4. -311112120 What is -5137631 (base 11) in base 16? -8a70d8 What is 20202122323 (base 4) in base 13? 604957 Convert -10111111111111001001 (base 2) to base 5. -200131002 Convert -371573 (base 8) to base 10. -127867 1300312021 (base 4) to base 10 462217 Convert 441231 (base 10) to base 12. 193413 -23561 (base 14) to base 2 -10101000001110001 What is -112020222122022 (base 3) in base 6? -430225525 Convert 187448c (base 13) to base 2. 11110100010110000000100 32155220 (base 6) to base 7 11030265 What is b81697 (base 15) in base 4? 201123121300 What is 29999 (base 14) in base 16? 19403 1191449 (base 10) to base 14 2302b7 What is 120511040 (base 6) in base 8? 10544740 What is 14301141 (base 5) in base 4? 210222123 1d330 (base 14) to base 4 102033132 What is 4536372 (base 8) in base 13? 33cc57 What is 1bfdaf (base 16) in base 12? 7456bb Convert -1867a6 (base 13) to base 10. -614282 What is -258290 (base 13) in base 5? -212402142 Convert -9359110 (base 11) to base 4. -332333120012 Convert 525831 (base 10) to base 12. 214373 Convert 1312120002 (base 4) to base 9. 818100 Convert -15740102 (base 9) to base 11. -44a2275 Convert 1145004 (base 7) to base 8. 434563 12102010210 (base 3) to base 8 320050 What is -2375302 (base 8) in base 11? -407412 66234 (base 12) to base 15 2a077 What is 299266 (base 13) in base 7? 11445160 -3e2a3 (base 15) to base 3 -101010222100 What is 17645 (base 15) in base 6? 1342145 Convert 3002332 (base 5) to base 3. 2101202210 Convert 100003113213 (base 4) to base 8. 20032747 3433341 (base 5) to base 2 1111000100011001 -448ba (base 15) to base 4 -311031313 Convert 35221135 (base 6) to base 2. 100001010011110110011 Convert -32a8c4 (base 14) to base 2. -110100011110010111100 Convert -232221121 (base 5) to base 16. -101748 -15979 (base 13) to base 7 -231010 -2635b8 (base 13) to base 14 -19dba3 What is -1626 (base 11) in base 16? -825 Convert 2111500 (base 7) to base 5. 31130334 Convert 1255336 (base 8) to base 3. 122211101212 Convert 1e08c (base 15) to base 11. 676a8 -111102112313 (base 4) to base 16 -5525b7 31522650 (base 7) to base 12 a91a16 Convert 2174 (base 11) to base 5. 42424 What is -4a333 (base 14) in base 12? -89209 What is 102022110 (base 3) in base 13? 39a5 What is 234330 (base 5) in base 15? 28b0 What is -4104444 (base 5) in base 10? -66249 330442 (base 12) to base 2 11000101100101110010 What is 290a00 (base 12) in base 14? 13bc88 Convert 222012210221 (base 3) to base 9. 865727 What is 179b8 (base 12) in base 3? 1202000012 Convert -2551422 (base 6) to base 5. -13422141 -33101311 (base 4) to base 15 -13821 -13233431 (base 6) to base 5 -103041110 What is 17bf17 (base 16) in base 13? 426474 -6112770 (base 8) to base 10 -1611256 -a5fc10 (base 16) to base 8 -51376020 -10101010011010001 (base 2) to base 14 -23b21 What is 113084 (base 11) in base 4? 223321001 -103111342 (base 5) to base 15 -8ac17 Convert -2184714 (base 9) to base 14. -2293ab What is 51112 (base 7) in base 9? 18014 Convert -43434 (base 10) to base 13. -16a01 124033025 (base 6) to base 15 3302e5 4debd (base 15) to base 11 160673 11111001101110110001 (base 2) to base 12 413b55 -989c22 (base 14) to base 8 -23573046 1025230 (base 6) to base 16 c4f2 Convert 10252151 (base 6) to base 14. 7c32b 13b221 (base 13) to base 12 1b2798 What is -6116750 (base 8) in base 13? -446411 Convert -4433144 (base 5) to base 16. -12df3 -229a54 (base 11) to base 2 -1011001000001011000 What is -153ea (base 15) in base 3? -10110211011 -3789a (base 11) to base 6 -1055245 What is -2121220101210 (base 3) in base 7? -14601540 Convert -c91cc (base 13) to base 6. -11435454 What is -7533d (base 15) in base 12? -15b327 What is -330314444 (base 5) in base 13? -3a7bb4 7020 (base 16) to base 3 1110101010 What is -100101111100001000110 (base 2) in base 7? -13365336 -2656445 (base 7) to base 16 -558e0 What is 55875 (base 14) in base 9? 345533 Convert -485745 (base 12) to base 3. -2012111012022 Convert -150716 (base 10) to base 4. -210302330 11101110200 (base 3) to base 10 86364 63073 (base 11) to base 9 150072 Convert 12bca1 (base 15) to base 13. 256c00 -4010002101 (base 5) to base 12 -27865b1 What is -221b67 (base 15) in base 14? -304791 21626 (base 9) to base 8 34031 What is -22121303 (base 6) in base 7? -5433336 What is 104553 (base 6) in base 4? 2022111 What is -522533135 (base 6) in base 15? -be9b0e What is 10010010001001101110110 (base 2) in base 5? 2211222420 What is -248d0b (base 14) in base 16? -1321bf What is 55b3 (base 13) in base 6? 131240 31231011 (base 5) to base 9 433231 What is -2163663 (base 8) in base 13? -175837 Convert 863523 (base 10) to base 11. 53a861 -44144004 (base 5) to base 8 -1350311 What is 10011110011100 (base 2) in base 16? 279c Convert 638542 (base 11) to base 6. 33521144 What is -874959 (base 10) in base 5? -210444314 What is -e9674 (base 16) in base 3? -1210120102011 Convert 30340422 (base 5) to base 9. 414845 -2198e (base 15) to base 5 -11404114 10103443332 (base 5) to base 7 152566546 Convert -51553745 (base 8) to base 9. -22514861 What is -6c8b (base 15) in base 3? -1011122212 Convert 377781 (base 9) to base 10. 228817 What is -1391c8 (base 13) in base 15? -96557 -166201 (base 10) to base 15 -343a1 -28003b0 (base 12) to base 5 -4014310223 -7a0028 (base 11) to base 6 -43145113 434424 (base 5) to base 8 35215 Convert -603ab (base 13) to base 16. -29fee -11032300003 (base 4) to base 3 -2120122211221 10a9b5 (base 13) to base 9 661663 Convert -10142551 (base 7) to base 14. -182161 Convert -56f270 (base 16) to base 9. -11644358 What is 288958 (base 13) in base 5? 223141434 -455770 (base 12) to base 11 -698016 23331124 (base 5) to base 3 101220021220 Convert -221070 (base 10) to base 5. -24033240 Convert 3313231231 (base 4) to base 8. 3675555 What is cd7e (base 16) in base 8? 146576 436211 (base 7) to base 10 76595 What is 68499 (base 11) in base 12? 49412 -20274476 (base 8) to base 7 -51320564 What is -11321020 (base 5) in base 2? -11001100000111110 20c23a (base 13) to base 5 144104322 -24621500 (base 8) to base 12 -19a90a8 Convert -434343434 (base 6) to base 15. -a38717 What is 1665321 (base 7) in base 6? 5010530 -101110010000011100 (base 2) to base 16 -2e41c 1001110133 (base 4) to base 16 4151f What is 11110000101111110000 (base 2) in base 12? 3b67a8 Convert -32011032 (base 4) to base 15. -12153 -154324524 (base 6) to base 14 -61a072 What is -82b275 (base 12) in base 7? -23303042 Convert -3301002 (base 5) to base 16. -dc39 -11001123 (base 5) to base 2 -10110111011011001 -110031302111 (base 4) to base 2 -10100001101110010010101 -25ab14 (base 13) to base 7 -10504560 -1504270 (base 8) to base 9 -722355 -1210559 (base 11) to base 7 -23632416 What is 1000232124 (base 5) in base 6? 110013111 Convert 103a1a5 (base 14) to base 6. 432241045 Convert 2119954 (base 12) to base 10. 6258448 Convert 293a21 (base 11) to base 14. bd449 What is 1b31b70 (base 12) in base 2? 10110000101010001000100 Convert -246052 (base 11) to base 13. -107c09 What is -3845571 (base 9) in base 5? -1014101243 884294 (base 11) to base 2 101011000100010000101 Convert -299c7 (base 16) to base 6. -3353023 What is 10110222110020 (base 3) in base 5? 433143203 What is 22555 (base 12) in base 13? 17a65 Convert 163029 (base 12) to base 4. 1130121201 What is 23402662 (base 8) in base 11? 2982744 Convert -1352314 (base 6) to base 15. -17c44 237862 (base 10) to base 15 4a727 Convert -51b69c (base 14) to base 15. -397759 What is 10010101110011000110110 (base 2) in base 3? 100020101022221 28635642 (base 9) to base 16 d89b9c 478b68 (base 12) to base 9 2151618 What is 47047573 (base 8) in base 5? 10110301323 Convert 27a3b (base 16) to base 6. 3251403 84e20 (base
{ "pile_set_name": "DM Mathematics" }
= 5*s, -4*s - 4 = -t. Suppose 181 = t*a - 15*a. List the prime factors of a. 181 Let a = -944 + 1341. List the prime factors of a. 397 Let x be 55/(-66)*(-5 - 1). Suppose -6*n + n + 187 = m, -x*m = -2*n - 854. Suppose -3*c + j + 75 = -m, -5*j = 2*c - 193. List the prime factors of c. 2, 3, 7 Let r(i) = i**2 + 1. Let o be r(3). Suppose -o = 2*p - 7*p. Suppose -p*x + z - 57 = -5*x, x - z = 23. What are the prime factors of x? 2, 5 Let t = -76 + 14. List the prime factors of t*(5/(-10) - 1). 3, 31 Let x(o) = -o**3 - 18*o**2 + 52*o - 4. What are the prime factors of x(-22)? 2, 197 Let h(b) = -26*b**3 + 71*b**3 + 17*b**3 + 21*b**3. What are the prime factors of h(1)? 83 Let x(n) = n**3 + 15*n**2 - 20*n - 13. Suppose 5*h + 128 = -3*h. What are the prime factors of x(h)? 3, 17 List the prime factors of (-13)/(1170/(-15)) + 18682/12. 3, 173 What are the prime factors of (6 - (1 + (3 - -1)))*95? 5, 19 Suppose -n - 10 = 3*g, -n + 3*g + 13 = 5. Let a be 0*(-5)/10 + -3 + -5. Let v = n - a. What are the prime factors of v? 7 Let b be (-2)/1 - (-2 - 1). Let r be 1 + b + 0 + 2. Suppose -138 = -2*f - 3*l, 23 - 7 = r*l. List the prime factors of f. 3, 7 Let q be (1 + 1)/((-6)/(-129)). Suppose 3*x = q + 113. Suppose b - 23 = 3*o, -o - x = -2*b + 3*o. List the prime factors of b. 2 Suppose 0*k + 3*g = -4*k + 172, 3*g - 215 = -5*k. List the prime factors of k. 43 Suppose 83 + 89 = 2*h - 4*n, 0 = 2*n - 10. What are the prime factors of h? 2, 3 What are the prime factors of (-130229)/(-88) + 2/16? 2, 5, 37 Let t = -491 + 535. List the prime factors of t. 2, 11 Let f(m) = -6*m**3 + m**2 + m - 2. Let u = 12 - 9. Suppose -c - 3*y - 2*y = 7, c + u*y = -5. List the prime factors of f(c). 2, 3 Let a(f) = 2*f**2 + 34*f - 10. Let o be a(-12). Let g = 87 - o. What are the prime factors of g? 7, 31 Let v be (-6 + -5 - -1)/((-2)/40). Let g = v + -34. List the prime factors of g. 2, 83 Suppose -9*r + 21*r - 43140 = 0. What are the prime factors of r? 5, 719 Suppose 0*c + 2*c = -2*a + 4, 2*c - 2*a = 24. What are the prime factors of (-2)/c - (2 - (-6354)/(-42))? 149 Let i(r) be the first derivative of -7*r**2/2 - 8*r - 3. Let z be i(4). What are the prime factors of -3 - (-1 + z) - -3? 37 Suppose 14*r + 4602 - 15368 = 0. What are the prime factors of r? 769 Let g = -1751 + 3351. List the prime factors of g. 2, 5 What are the prime factors of (11 - 376/32) + (-3943)/(-4)? 5, 197 Let s(f) = -4*f - 2*f + f + 8*f. Let c = 2 + -1. List the prime factors of s(c). 3 Suppose -2*d = -z + 68 - 927, 5*d + z = 2158. What are the prime factors of d? 431 Let a(j) = j**3 - 17*j**2 - 2. Let r be ((-2)/(-2))/(5/85). Let s be a(r). List the prime factors of s - (-61 + -1 + -1). 61 Let v(g) = -g**3 + 5*g**2 - 3*g + 4. Let o be v(4). Let h = o - -21. What are the prime factors of h? 29 Suppose 3*h - 7382 = -f, -27*h + 9842 = -23*h + 2*f. List the prime factors of h. 23, 107 Suppose 0 = 3*r + 4*x - 4, 5 = 5*r - 10*r + 5*x. Suppose r*l = l - 122. List the prime factors of l. 2, 61 Suppose -4*r = -9*r - 10. Let f = r + 2. Suppose f = -4*k + 160 + 16. List the prime factors of k. 2, 11 Let x be -2 - -6 - (-16 + 6). Suppose 0 = 3*i + x - 20. Suppose 5*y = i*y + 96. What are the prime factors of y? 2 Suppose 8 = 3*a + a. Suppose -2*d + 5*f + 17 = 0, 0*d - 22 = -4*d - a*f. What are the prime factors of (-12)/15*(-195)/d? 2, 13 Let a be -2*(-1 - (-513)/(-6)). Suppose 2*b + 5*p = -2*b + 339, 2*b - p = a. List the prime factors of b. 2, 43 Suppose -113 - 2443 = -3*i - 5*l, -2*i + 1704 = 4*l. List the prime factors of i. 2, 3, 71 Suppose -46*k + 12*k + 31246 = 0. What are the prime factors of k? 919 List the prime factors of (112295/259 - 8/14) + 0. 433 Let b = 2312 - -968. What are the prime factors of b? 2, 5, 41 Let g be (-10 + 4)/(-1) - 4. Let k be 348/9 - g/(-6). What are the prime factors of k/52 - 81/(-4)? 3, 7 What are the prime factors of (-22 - -22) + 1*4 + 1259? 3, 421 Suppose 5*j - 2738 = -3*a, -7*j + 6*j - 2750 = -3*a. What are the prime factors of a? 2, 229 Suppose -2*t + 2156 = 5*t. List the prime factors of t. 2, 7, 11 Suppose -2*a - 2*a + 2*m = -2028, 3*m = -a + 507. Let w = a - 355. List the prime factors of w. 2, 19 Let d(c) = 6*c + 1. Let t be d(-1). List the prime factors of (t - 550/15)/((-2)/6). 5 Let p = 894 + -530. List the prime factors of p. 2, 7, 13 Let s be (-1)/((-1 - 6225/(-1557)) + -3). Suppose 0 = -5*k + 8*k - s. What are the prime factors of k? 173 Let k = -15 + 18. Let l be (-6)/k - (-210 - -2). Suppose -3*p + v + 151 = 2*v, v = 4*p - l. What are the prime factors of p? 3, 17 Let m = -48 - -372. List the prime factors of m. 2, 3 Suppose 0*m - 4*u = -3*m + 2212, m - 764 = -4*u. Suppose -r = -7*r + m. What are the prime factors of r? 2, 31 Let m(x) = -x**2 - 28*x + 96. What are the prime factors of m(-27)? 3, 41 Let g = -575 + 1675. What are the prime factors of g? 2, 5, 11 Suppose c + 2723 = 3*i, 3*i = -5*c + 3535 - 824. List the prime factors of i. 907 Let x = -30 + 55. Let b = x + 11. List the prime factors of b. 2, 3 Suppose m + 5 = -7. Let i = 16 + m. Suppose -i*u + 0*x - 2*x = -58, -3*x - 41 = -2*u. What are the prime factors of u? 2 Let q(r) = 3 + 7*r - 6*r**2 - 40*r + 2*r**3 + 19*r + 19*r. Suppose 0 = -0*y - y + 4. What are the prime factors of q(y)? 5, 11 Suppose 3*i + 3*q + 99 = -78, -3*q = -4*i - 208. Let t = -31 - i. Suppose 0*g - t = -g. List the prime factors of g. 2, 3 Suppose 3*i = -2*o + 515, -148 = -2*i + 4*o + 206. Suppose -3*a + 12 = -0*a. Suppose s + 29 = 2*s + a*b, -3*b = -4*s + i. List the prime factors of s. 41 Suppose -106 = -8*r + 6*r. Suppose 0 = -r*o + 58*o - 285. What are the prime factors of o? 3, 19 Suppose 0 = 3*c - 5*y - 296, 4*y = c + 5*y - 104. List the prime factors of c. 2, 3, 17 Let p be (-384)/14 + 30/70. Suppose -228 = -4*d + 4*i, i = -3*d + 3*i + 166. Let u = p + d. List the prime factors of u. 5 Let v be 2/3 + (-247)/(-57). Suppose -143 = -2*q + v*k, -26 = 5*k - 1. What are the prime factors of q? 59 Suppose 3*h - 3*s + 0*s - 12 = 0, 3*h = -2*s + 7. Let a = h + 62. What are the prime factors of a? 5, 13 Let l be (-78 + 1)*(-12)/14. Let b = -74 + 33. Let c = b + l. List the prime factors of c. 5 Let f = 10095 - 5237. What are the prime factors of f? 2, 7, 347 Let o(q) = q**2 - q. Let j be o(2). Suppose 0 - j = 2*p. What are the prime factors of 1*16 - (-2)/p? 2, 7 Suppose 16*h - 181798 = -18*h. List the prime factors of h. 5347 Let t(a) = 66*a - 229. What are the prime factors of t(9)? 5, 73 What are the prime factors of 3 + 3 + 581 - 36/(-12)? 2, 5, 59 Suppose -18280 = -5*b - 7*p + 10*p, 5*p - 7281 = -2*b. What are the prime factors of b? 13, 281 Suppose -2*n - 12 = 3*z + 5, 2 = -2*n. Let x be -2*(3 + -1 + z). Let c(v) = v**2 + v - 1. List the prime factors of c(x). 41 Suppose -4140 = -6*d + 11*d. What are the prime factors of d/(-15) + (-1)/5? 5, 11 Suppose 0 = -3*u + 2*u + 5*k + 3079, 2*k + 4 = 0. List the prime factors of u. 3, 11, 31 Let v(k) = 29*k**2 + 9*k + 27. Let d(i) = 10*i**2 + 3*i + 9. Let h(q) = -11*d(q) + 4*v(q). What are the prime factors of h(-4)? 3, 31 List the prime factors of -4 + 1018/(-4)*-2*1. 5, 101 Let y = 31 + -25. Let d be 16/y*9/6. Suppose -5*v + d*r + 361 = 0, -r - 47 = -2*v + 98. What are the prime factors of v? 73 Suppose 14 = 5*o - 16. Let s = 0 - o. What are the prime factors of s*(-1)/2 + 26? 29 Let h(b) = -b**3 + 8*b**2 - b. Let z(g) = g**2. Let a(i) = h(i) - 3*z(i). Suppose -23*u = -28*u + 15. List the prime factors of a(u). 3, 5 Suppose r + 10 = 3*q, r + 4 + 5 = 2*q. Let i = r - -3. Let m(f) = -10*f - 2. What are the prime factors of m(i)? 2, 19 Let q(p) = 11*p - 7. Let n(c) = 21*c - 13. Let a(h) = -6*n(h) + 11*q(h). Let i(u) = -5*u**2 - 2*u + 1. Let g be i(1). List the prime factors of a(g). 31 Suppose 0 = -4*u - u. Let g be (-13)/(39/18)*(1 + -17). Suppose g = 4*l - u. List the prime factors of l. 2, 3 Let f be 5 + -3 + -3 + 4. Let q be (4 - 3)/(f/(-525)). List the prime factors of (12/(-15))/(5/q). 2, 7 Let f = 74 + -53. Suppose 4*c + 172 = x, 64 = -2*c + c - 5*x. List the prime factors of c*(f/6)/(-7). 2, 11 Let p be 12*(-3)/24*-4. List the prime factors of 3/p*(-378)/(-3). 3, 7 Suppose g - 571 = -6*o + 5*o, o - g = 567. What are the prime factors of o? 569 Suppose 565 + 617 = 2*w. Suppose
{ "pile_set_name": "DM Mathematics" }
= 0. What is w? 176168 Factor 12*w**2/5 + 8433*w/5 - 2109/5. 3*(w + 703)*(4*w - 1)/5 What is u in -4*u**5/7 - 2252*u**4/7 + 6884*u**3/7 + 52204*u**2/7 + 74768*u/7 + 4528 = 0? -566, -2, -1, 7 Solve -g**3 + 3304*g**2 - 13204*g + 13200 = 0 for g. 2, 3300 Solve -14*d**2 + 38166*d - 5452 = 0. 1/7, 2726 What is r in r**5 + 1131*r**4 + 320353*r**3 + 316965*r**2 - 638450*r = 0? -565, -2, 0, 1 Factor n**2/2 - 49*n/2. n*(n - 49)/2 Factor -4*g**4 - 52*g**3 + 608*g**2 - 1344*g. -4*g*(g - 4)**2*(g + 21) Factor -2*l**3/11 - 6070*l**2/11 - 4626784*l/11 - 32090744/11. -2*(l + 7)*(l + 1514)**2/11 Factor -4*y**2/3 + 698872*y/3 + 465920. -4*(y - 174720)*(y + 2)/3 Find d, given that -5*d**5/3 - 6375*d**4 - 6162680*d**3 - 382131320*d**2/3 - 724154800*d - 602934000 = 0. -1902, -10, -1 Find u such that -3*u**2/4 - 45555*u/2 + 45558 = 0. -30372, 2 Factor -z**2/3 - 15*z + 4752. -(z - 99)*(z + 144)/3 Suppose 14*z**4/3 - 58*z**3/3 - 302*z**2/3 + 106*z/3 + 112 = 0. What is z? -3, -1, 8/7, 7 Factor -4*l**3 - 8496*l**2 + 989184*l - 28048384. -4*(l - 56)**2*(l + 2236) Let 2*i**4 + 440*i**3 - 466*i**2 - 5304*i = 0. What is i? -221, -3, 0, 4 Determine l so that 3*l**3 + 7383*l**2 + 36858*l + 44208 = 0. -2456, -3, -2 Factor -1538*j**4/7 - 10730*j**3/7 + 36*j**2. -2*j**2*(j + 7)*(769*j - 18)/7 Factor 4*k**3 + 2556*k**2 + 336584*k - 683424. 4*(k - 2)*(k + 189)*(k + 452) Let -s**5 + 12*s**4 + 50*s**3 - 72*s**2 - 49*s + 60 = 0. Calculate s. -4, -1, 1, 15 Suppose -u**5/8 - 205*u**4/8 + 833*u**3/8 - 631*u**2/8 - 104*u + 209/2 = 0. Calculate u. -209, -1, 1, 2 What is a in -2*a**2/9 - 45200*a - 2298420000 = 0? -101700 Suppose -p**4 - 78*p**3 - 559*p**2 + 78*p + 560 = 0. Calculate p. -70, -8, -1, 1 Determine k, given that 9*k**4/7 - 1248*k**3/7 + 34107*k**2/7 - 107148*k/7 - 39552/7 = 0. -1/3, 4, 32, 103 Solve 3*q**3/7 - 288*q**2/7 - 19035*q/7 = 0. -45, 0, 141 Solve b**4/8 - 2*b**3 - 17*b**2/8 = 0. -1, 0, 17 Factor -4*l**2 - 63136*l - 820092. -4*(l + 13)*(l + 15771) Determine o, given that -o**2/2 - 13641*o - 186076881/2 = 0. -13641 Factor -r**4 + 251*r**3 + 6352*r**2 - 13700*r. -r*(r - 274)*(r - 2)*(r + 25) Factor 45*g**2 - 33200*g - 7380. 5*(g - 738)*(9*g + 2) Find c, given that -2*c**5 + 522*c**4 + 3234*c**3 - 8026*c**2 + 4272*c = 0. -8, 0, 1, 267 Find q, given that 3*q**2/8 - 1561401*q/4 + 812657694267/8 = 0. 520467 Factor 2*i**4 - 6948*i**3 + 62424*i**2 - 187164*i + 187110. 2*(i - 3465)*(i - 3)**3 Let -3*l**4 - 90*l**3 - 777*l**2 - 1746*l - 1056 = 0. What is l? -16, -11, -2, -1 Factor -25*n**3/2 - 252365*n**2/2 + 100949*n/2 - 10095/2. -(n + 10095)*(5*n - 1)**2/2 Factor 3*k**4 + 705*k**3 + 28656*k**2 + 323136*k. 3*k*(k + 24)**2*(k + 187) Solve 2*k**3/3 + 608*k**2/3 + 3642*k + 9120 = 0. -285, -16, -3 Factor -2*b**4 - 32*b**3 + 310*b**2 - 276*b. -2*b*(b - 6)*(b - 1)*(b + 23) Find m, given that m**4 + 49*m**3 + 349*m**2 - 4809*m + 4410 = 0. -35, -21, 1, 6 Factor 4*b**4/3 + 4448*b**3/3 + 1200448*b**2/3 - 6689792*b + 27144192. 4*(b - 8)**2*(b + 564)**2/3 Find d, given that -4*d**2 + 1940*d - 7696 = 0. 4, 481 Solve -4*k**4/7 + 52*k**3/7 + 13940*k**2/7 - 375492*k/7 - 389376/7 = 0 for k. -64, -1, 39 Find b such that -2*b**3/3 + 4540*b**2/3 + 22778*b/3 - 63700/3 = 0. -7, 2, 2275 Suppose -d**5/4 - 9981*d**4/4 + 7488*d**3 - d**2 - 9984*d = 0. Calculate d. -9984, -1, 0, 2 Find f such that 2*f**2/9 - 2702*f/3 + 8104/9 = 0. 1, 4052 Solve -4*k**5/7 + 92*k**4/7 + 372*k**3/7 - 3980*k**2/7 - 9200*k/7 + 30000/7 = 0 for k. -5, 2, 6, 25 Factor -2*x**2/3 + 50230*x. -2*x*(x - 75345)/3 Factor -2*g**3/3 + 297400*g**2 + 1189608*g + 3568832/3. -2*(g - 446104)*(g + 2)**2/3 Find m such that -3*m**4/7 + 15*m**3/7 - 12*m**2/7 = 0. 0, 1, 4 Factor 245*p**3 - 617260*p**2 - 352780*p - 50400. 5*(p - 2520)*(7*p + 2)**2 Let -t**3/7 - 248*t**2/7 + 255*t/7 + 1494/7 = 0. Calculate t. -249, -2, 3 Let -2*d**5/3 - 28*d**4 + 6424*d**3 - 597040*d**2/3 + 110976*d + 41505024 = 0. Calculate d. -132, -12, 34 Let 8*v**3 + 604*v**2 - 62948*v - 31624 = 0. Calculate v. -134, -1/2, 59 Factor 5*o**4 + 177360*o**3 + 2097104640*o**2 + 8265388421120*o. 5*o*(o + 11824)**3 Let 8*y**5/9 + 1574*y**4/9 + 106772*y**3/9 + 2923390*y**2/9 + 30438568*y/9 + 63729688/9 = 0. Calculate y. -74, -23, -11/4 Determine q so that -2*q**2/7 + 793120*q/7 - 78629916800/7 = 0. 198280 Suppose -k**2/10 + 39*k/10 - 36 = 0. What is k? 15, 24 Suppose 3*x**5/4 - 81*x**4/4 + 285*x**3/4 - 195*x**2/4 - 72*x + 69 = 0. What is x? -1, 1, 2, 23 Factor 4*x**2 - 9896*x - 69468. 4*(x - 2481)*(x + 7) Let -2*f**4 - 608*f**3 - 1192*f**2 + 4832*f = 0. Calculate f. -302, -4, 0, 2 What is w in -27*w**4/2 - 3597*w**3/4 + 5109*w**2/4 + 153*w = 0? -68, -1/9, 0, 3/2 Factor -4*z**4 - 40*z**3 + 604*z**2 - 1520*z. -4*z*(z - 5)*(z - 4)*(z + 19) Let 3*q**3/5 - 10671*q**2/5 + 42648*q/5 - 42636/5 = 0. Calculate q. 2, 3553 Factor 35*c**3 + 2445*c**2 - 7950*c + 5840. 5*(c - 2)*(c + 73)*(7*c - 8) Suppose 2*a**2/13 + 9246*a/13 - 9248/13 = 0. Calculate a. -4624, 1 Suppose -2*x**4 + 2*x**3 + 2744*x**2 + 2728*x - 5472 = 0. Calculate x. -36, -2, 1, 38 Determine g so that -g**4 - 232*g**3/3 = 0. -232/3, 0 Let 2*o**5/5 + 118*o**4/5 - 232*o**3 - 968*o**2 + 68448*o/5 - 154368/5 = 0. Calculate o. -67, -8, 4, 6 Let -c**2 + 59798*c - 893950201 = 0. Calculate c. 29899 Suppose 3*h**4 - 324*h**3 - 7728*h**2 + 1186704*h - 2339952 = 0. What is h? -58, 2, 82 Factor 10*q**3 + 6774*q**2 - 10872*q - 5432. 2*(q - 2)*(q + 679)*(5*q + 2) Factor -2*q**5/5 - 92*q**4/5 + 624*q**3/5. -2*q**3*(q - 6)*(q + 52)/5 Suppose 2*p**3/17 + 3340*p**2/17 + 53056*p/17 + 211712/17 = 0. Calculate p. -1654, -8 Suppose -5*p**5 - 40305*p**4 - 322180*p**3 - 483020*p**2 + 1288800*p + 2576960 = 0. What is p? -8053, -4, -2, 2 Factor -2*m**2/19 + 27206*m/19 + 136080/19. -2*(m - 13608)*(m + 5)/19 Suppose -o**3 + 2624*o**2 - 1713445*o - 10375350 = 0. What is o? -6, 1315 Factor -4*p**2 + 332748*p. -4*p*(p - 83187) Factor q**2/5 - 1901*q/5 - 5712/5. (q - 1904)*(q + 3)/5 What is y in -y**2/3 + 21110*y/3 + 63357 = 0? -9, 21119 Factor 3*f**2/2 - 230103*f/8 + 57525/8. 3*(f - 19175)*(4*f - 1)/8 Let 21*m**5 - 975*m**4 + 11355*m**3 - 31065*m**2 + 27684*m - 7020 = 0. Calculate m. 3/7, 1, 2, 13, 30 Determine i so that -5*i**3 - 6885*i**2 - 27460*i = 0. -1373, -4, 0 Find k such that 2*k**3/9 - 620*k**2/9 + 1408*k = 0. 0, 22, 288 Find l such that -4*l**5/7 + 684*l**4/7 - 29564*l**3/7 + 26164*l**2/7 + 118320*l/7 - 115600/7 = 0. -2, 1, 2, 85 Factor -3*d**3 + 14456*d**2 - 17419479*d + 11606562. -(d - 2409)**2*(3*d - 2) Factor 3*p**3 - 24546*p**2 - 48*p + 392736. 3*(p - 8182)*(p - 4)*(p + 4) Suppose -405*u**4 + 805*u**3 + 2845*u**2 + 1655*u + 20 = 0. What is u? -1, -1/81, 4 Determine a, given that -5*a**4 - 760*a**3 - 1505*a**2 - 750*a = 0. -150, -1, 0 Factor 2*a**2 + 6632*a + 6630. 2*(a + 1)*(a + 3315) Factor o**4/2 + 6621*o**3/2 + 5481360*o**2 + 5478050*o. o*(o + 1)*(o + 3310)**2/2 Factor a**5/2 - 8304*a**4 - 33219*a**3/2 - 8305*a**2. a**2*(a - 16610)*(a + 1)**2/2 Solve -3*q**2 - 3258*q + 39528 = 0. -1098, 12 Determine w, given that -2*w**5 + 28*w**4 - 68*w**3 + 16*w**2 + 70*w - 44 = 0. -1, 1, 2, 11 Factor -4*f**3 + 536*f**2 + 53868*f. -4*f*(f - 201)*(f + 67) Factor 4*g**3 + 5852*g**2 - 82712*g. 4*g*(g - 14)*(g + 1477) Factor -9*o**2/4 - 6919*o/4 - 96541/2. -(o + 29)*(9*o + 6658)/4 Factor 4*y**3 - 11908*y**2 + 224808*y. 4*y*(y - 2958)*(y - 19) Factor 9*r**3 - 672*r**2 + 4665*r - 2814. 3*(r - 67)*(r - 7)*(3*r - 2) Find c, given that -51684*c**2/5 + 103389*c/5 - 42/5 = 0. 7/17228, 2 Factor q**3 - 158*q**2 - 501*q + 2898. (q - 161)*(q - 3)*(q + 6) Find y, given that -y**3/9 - 30250*y**2/9 - 228705113*y/9 + 915304516/9 = 0. -15127, 4 Find j, given that -625*j**2 + 26865*j + 430 = 0. -2/125, 43 Suppose -t**3 + 204*t**2 + 20292*t + 77840 = 0. Calculate t. -70, -4, 278 Solve -4*w**5/5 + 8672*w**4 - 117375448*w**3/5 - 141084768*w**2 - 1058721444*w/5 = 0. -3, 0, 5423 Suppose -2*m**5/3 - 34*m**4/3 - 130*m**3/3 + 34*m**2/3 + 44*m = 0. What is m? -11, -6, -1, 0, 1 Factor 5*d**2 - 925*d - 9750. 5*(d - 195)*(d + 10) What is f in 3*f**4 + 1422*f**3/5 - 1557*f**2 + 300*f = 0? -100, 0, 1/5, 5 Determine s so that -168*s**3 - 16710*s**2 - 24099*s + 882 = 0. -98, -3/2, 1/28 Factor -3*o**3/5 - 387*o**2 - 301104*o/5 + 3550272/5. -3*(o - 11)*(o + 328)**2/5 Let 2*r**5 - 62*r**4 - 306
{ "pile_set_name": "DM Mathematics" }
replacement from nnwwnwnnnwnww? 7/13 Calculate prob of picking 3 v and 1 x when four letters picked without replacement from {x: 2, o: 1, v: 3, q: 1}. 2/35 Calculate prob of picking 2 v when two letters picked without replacement from vhvkkhkkk. 1/36 Three letters picked without replacement from zzzx. What is prob of picking 3 z? 1/4 Calculate prob of picking 1 t and 2 z when three letters picked without replacement from {z: 7, i: 3, t: 2}. 21/110 What is prob of picking 1 l and 2 q when three letters picked without replacement from pllqqwl? 3/35 Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {u: 1, g: 1, z: 2, q: 1}. 1/5 Two letters picked without replacement from {e: 1, t: 14}. What is prob of picking 2 e? 0 Two letters picked without replacement from {a: 1, g: 1, s: 1, u: 1, c: 1, t: 2}. What is prob of picking 1 g and 1 c? 1/21 What is prob of picking 1 g and 2 y when three letters picked without replacement from {e: 3, y: 2, x: 9, g: 3}? 3/680 What is prob of picking 1 h, 1 i, 1 k, and 1 w when four letters picked without replacement from {w: 3, h: 7, k: 5, i: 2}? 3/34 Four letters picked without replacement from duddnwnwduunaiawuuud. Give prob of picking 1 w, 1 u, 1 a, and 1 n. 36/1615 What is prob of picking 1 i and 1 f when two letters picked without replacement from {m: 1, l: 1, f: 1, j: 1, i: 1}? 1/10 Four letters picked without replacement from ppkkpppkkkkkkk. Give prob of picking 3 k and 1 p. 60/143 What is prob of picking 2 p when two letters picked without replacement from {w: 3, p: 7}? 7/15 What is prob of picking 2 e, 1 t, and 1 p when four letters picked without replacement from {p: 4, e: 3, t: 2}? 4/21 Three letters picked without replacement from gfgfgbgfb. Give prob of picking 1 g, 1 b, and 1 f. 2/7 Two letters picked without replacement from ooopoooo. What is prob of picking 1 o and 1 p? 1/4 Calculate prob of picking 3 m when three letters picked without replacement from tptbmtpmwmmtwtwtttm. 10/969 Two letters picked without replacement from {w: 1, t: 12}. Give prob of picking 1 t and 1 w. 2/13 Three letters picked without replacement from {h: 3, j: 5, l: 5, b: 1, q: 4}. What is prob of picking 3 b? 0 What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, f: 2, o: 3, q: 1, g: 2, r: 2}? 2/33 Three letters picked without replacement from {o: 3, n: 3, f: 5}. What is prob of picking 1 f and 2 o? 1/11 Four letters picked without replacement from {b: 7, z: 1}. Give prob of picking 4 b. 1/2 Four letters picked without replacement from {o: 11, r: 1, c: 2}. Give prob of picking 1 c, 1 r, and 2 o. 10/91 Two letters picked without replacement from {a: 1, v: 1, x: 1, m: 1, w: 1}. What is prob of picking 1 a and 1 x? 1/10 Two letters picked without replacement from lkemlk. What is prob of picking 1 k and 1 l? 4/15 What is prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, o: 3}? 3/5 Four letters picked without replacement from qqqttqtwkwttw. What is prob of picking 1 k and 3 q? 4/715 What is prob of picking 3 z when three letters picked without replacement from zkzkz? 1/10 Two letters picked without replacement from {w: 3, n: 13}. Give prob of picking 1 n and 1 w. 13/40 What is prob of picking 1 g and 3 s when four letters picked without replacement from gsggsggsggg? 4/165 Three letters picked without replacement from rrrbrrrbrrbyrrrrrryr. Give prob of picking 1 r and 2 y. 1/76 Calculate prob of picking 1 e, 1 i, and 1 b when three letters picked without replacement from ebieeeeeeeweeieieeii. 13/228 Two letters picked without replacement from {n: 3, i: 1, k: 1, r: 2}. Give prob of picking 1 n and 1 r. 2/7 Four letters picked without replacement from ffkfkfffffkfffkfkfff. Give prob of picking 4 k. 1/969 Calculate prob of picking 1 d and 2 q when three letters picked without replacement from {p: 3, d: 5, q: 3}. 1/11 Calculate prob of picking 2 o and 1 u when three letters picked without replacement from uououooooooooooooooo. 34/95 Two letters picked without replacement from {a: 3, l: 1, c: 7, k: 1, r: 2}. What is prob of picking 1 a and 1 k? 3/91 Three letters picked without replacement from twrw. Give prob of picking 1 t and 2 w. 1/4 What is prob of picking 2 g when two letters picked without replacement from {e: 2, g: 2, r: 1}? 1/10 What is prob of picking 1 f and 2 i when three letters picked without replacement from {g: 1, i: 3, o: 4, f: 2}? 1/20 Calculate prob of picking 4 y when four letters picked without replacement from {s: 9, g: 2, y: 5}. 1/364 Calculate prob of picking 1 i and 3 c when four letters picked without replacement from {i: 3, c: 12}. 44/91 Four letters picked without replacement from aada. What is prob of picking 2 d and 2 a? 0 Two letters picked without replacement from {k: 2, m: 1}. Give prob of picking 1 m and 1 k. 2/3 What is prob of picking 1 r and 1 b when two letters picked without replacement from {b: 4, r: 1, v: 2, u: 2, p: 1}? 4/45 Three letters picked without replacement from adeaeeaaaadaaddakd. Give prob of picking 1 e and 2 a. 9/68 What is prob of picking 1 a, 2 w, and 1 y when four letters picked without replacement from wawaaywa? 6/35 What is prob of picking 3 o and 1 w when four letters picked without replacement from tgoooogttwooto? 5/143 What is prob of picking 1 h, 1 z, 1 c, and 1 i when four letters picked without replacement from cihizpipjjjpcipcp? 3/595 Four letters picked without replacement from {q: 2, e: 7, r: 6}. What is prob of picking 4 e? 1/39 Two letters picked without replacement from {m: 3, n: 4, f: 11}. Give prob of picking 1 n and 1 f. 44/153 Two letters picked without replacement from swmwwmwxwssssmwwmxw. Give prob of picking 1 w and 1 m. 32/171 What is prob of picking 1 o, 1 s, and 1 h when three letters picked without replacement from {s: 2, h: 1, e: 2, x: 2, o: 4, k: 1}? 2/55 Calculate prob of picking 2 y when two letters picked without replacement from {x: 3, y: 2}. 1/10 Two letters picked without replacement from idiididgddgd. Give prob of picking 2 g. 1/66 What is prob of picking 1 h and 2 q when three letters picked without replacement from xczfqhxxfqfhxc? 1/182 Calculate prob of picking 1 s and 1 j when two letters picked without replacement from {j: 4, d: 2, s: 3}. 1/3 Two letters picked without replacement from {i: 1, t: 4, x: 4, u: 2, q: 2, j: 2}. What is prob of picking 1 i and 1 q? 2/105 Two letters picked without replacement from duruurduuuur. Give prob of picking 2 d. 1/66 Calculate prob of picking 1 c and 1 m when two letters picked without replacement from hmmrymcygmhyrmr. 1/21 Two letters picked without replacement from {o: 8, a: 5}. Give prob of picking 2 o. 14/39 Calculate prob of picking 1 s and 3 a when four letters picked without replacement from {s: 5, v: 6, l: 1, a: 5}. 5/238 Three letters picked without replacement from hblhbmhtmhrmhmm. Give prob of picking 1 b, 1 h, and 1 r. 2/91 Three letters picked without replacement from {x: 5, h: 5}. Give prob of picking 3 x. 1/12 Two letters picked without replacement from {i: 1, p: 7, s: 1, c: 3}. What is prob of picking 1 i and 1 p? 7/66 Two letters picked without replacement from {s: 1, z: 4, j: 3, g: 3, x: 3, v: 2}. What is prob of picking 2 z? 1/20 Three letters picked without replacement from {v: 1, k: 1, h: 1, i: 1, d: 2, m: 1}. What is prob of picking 1 m and 2 d? 1/35 Calculate prob of picking 1 t and 2 f when three letters picked without replacement from tttttfffft. 3/10 Four letters picked without replacement from wffwwfwfwwwwwwwwww. Give prob of picking 1 w and 3 f. 14/765 Four letters picked without replacement from kuunnddk. Give prob of picking 1 u, 2 d, and 1 k. 2/35 What is prob of picking 1 r and 1 n when two letters picked without replacement from rrrjrnrnrnjnrnjjn? 21/68 Three letters picked without replacement from {j: 3, d: 5, k: 1, h: 2, n: 5, q: 4}. Give prob of picking 3 n. 1/114 Calculate prob of picking 1 e, 1 x, and 1 d when three letters picked without replacement from {e: 9, h: 1, d: 2, x: 2}. 9/91 Three letters picked without replacement from oyyyoiuiyoyc. Give prob of picking 1 y, 1 o, and 1 i. 3/22 Calculate prob of picking 2 h when two letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
Let y(m) = 10*m**2 - 20*m. Let h(k) = 11*k**2 - 19*k. Let s(x) = 5*h(x) - 4*y(x). What is the second derivative of s(n) wrt n? 30 Suppose -3*h + 7 = 5*z, -3*h - 1 + 0 = z. What is the second derivative of 8*n - 2*n**4 - n**2 + n**z - n**4 wrt n? -36*n**2 Let n(m) = -4*m**2 - 2*m + 1. Let x(q) = q**2 + q + 1. Let v be (-8)/(-6)*6/4. Let u(w) = v*x(w) + n(w). What is the derivative of u(k) wrt k? -4*k Suppose -4*a = -0*a. Find the third derivative of -5*f**4 - f**2 + a*f**4 - 3*f**2 wrt f. -120*f Let u(r) be the second derivative of -r**5/2 - 7*r**3/2 + 23*r. What is the second derivative of u(b) wrt b? -60*b Let m(y) be the third derivative of 5*y**8/336 + y**5/30 - 3*y**2. What is the third derivative of m(j) wrt j? 300*j**2 Let y(x) be the first derivative of -9*x**4/4 - 19*x**3 + 11. What is the third derivative of y(d) wrt d? -54 Let y(f) be the first derivative of 2*f + 1 - f**2 + 1/3*f**3. Let l(j) be the first derivative of y(j). What is the first derivative of l(c) wrt c? 2 Let v(t) be the second derivative of 0*t**4 + 0 + t**2 + 0*t**3 + 4*t + 1/5*t**5. What is the derivative of v(z) wrt z? 12*z**2 Let q(m) be the second derivative of 0*m**3 + 2*m**2 - 3/20*m**5 + 0*m**4 + 3*m + 0. Find the first derivative of q(v) wrt v. -9*v**2 Let i(q) be the third derivative of q**9/28 - 23*q**5/60 + 21*q**2. What is the third derivative of i(y) wrt y? 2160*y**3 What is the third derivative of -2*v**2 - 3*v**4 + 3*v**2 - 2*v**4 + 3*v**2 wrt v? -120*v Let z be 2 + -3 + -3 + 4. Let d(n) be the first derivative of z*n**3 + 0*n**2 - 1/4*n**4 - 1 + 2*n. Find the first derivative of d(x) wrt x. -3*x**2 Let q(z) be the first derivative of z**10/5040 + z**6/90 + 5*z**3/3 - 5. Let u(r) be the third derivative of q(r). Find the third derivative of u(g) wrt g. 120*g**3 Let k(g) be the first derivative of g**8/336 - g**6/72 - 5*g**3/3 + 1. Let w(a) be the third derivative of k(a). What is the third derivative of w(c) wrt c? 120*c Let q(z) = 27*z**2 + 13*z + 8. Let m(o) = 13*o**2 + 6*o + 4. Let n(i) = 13*m(i) - 6*q(i). Find the first derivative of n(f) wrt f. 14*f Let b(s) = s**3 + s**2 - s - 1. Let r(o) = 9*o**3 + 3*o**2 - 12*o - 3. Let t(m) = 3*b(m) - r(m). Find the second derivative of t(i) wrt i. -36*i Let k = 7 - 4. Suppose 4*y = k*y. Find the third derivative of -n**2 + 0*n**3 + 2*n**4 + y*n**3 wrt n. 48*n Suppose 0*s = 4*s + 5*b + 21, -4*s - 3*b = 11. What is the derivative of 6 - 3*g**4 - s + 7*g**4 - 2 wrt g? 16*g**3 Let h(q) be the second derivative of -q**4/6 - q**3/3 + q. What is the second derivative of h(g) wrt g? -4 Let g(v) be the second derivative of v**3/6 + 3*v**2 - 5*v. What is the derivative of g(l) wrt l? 1 Let d be ((-2)/(-5) - (-14)/(-35))*1. Let v(n) be the first derivative of -3 + 0*n**3 - 1/2*n**4 - 2*n + d*n**2. What is the derivative of v(j) wrt j? -6*j**2 Let s(r) = -50*r**5 + 4*r**2 + 2*r + 2. Let u(x) = x**5 - x**2 + x - 1. Let w(i) = s(i) + 4*u(i). What is the second derivative of w(n) wrt n? -920*n**3 Let c(v) = 2*v - 12. Let n be c(9). Let p = -4 + n. What is the third derivative of -x**5 - x**6 + 6*x**2 - 3*x**p + x**5 wrt x? -120*x**3 Let q(f) = -120*f**4 - 11*f**3 + 25*f**2. Let t(o) = -24*o**4 - 2*o**3 + 5*o**2. Let s(i) = -2*q(i) + 11*t(i). Find the third derivative of s(r) wrt r. -576*r Differentiate -2 - 2*y**2 + 5 + 12 wrt y. -4*y Let o(d) be the second derivative of 1/2*d**2 - 1/3*d**3 + 0 + 3*d. Differentiate o(a) with respect to a. -2 Let p(d) = -d**2. Suppose 0 = -2*q - 24. Let x(a) = 4*a**2 - 1. Let y(c) = q*p(c) - 4*x(c). Differentiate y(f) wrt f. -8*f Let t(m) = -m - 2. Let s be t(-6). What is the third derivative of -5*i**2 - 2*i**2 + s*i**6 + 5*i**2 wrt i? 480*i**3 Let a(x) = -x - x**2 + 4*x**2 - 2 - 2*x. Let i(t) = t + 1. Let b(f) = -a(f) - 2*i(f). Find the second derivative of b(n) wrt n. -6 Let i(o) = -o. Let a(p) = -4*p**2. Let m(k) = -a(k) - i(k). Find the second derivative of m(d) wrt d. 8 Let z(q) be the third derivative of -19*q**8/336 - 4*q**5/15 - 6*q**2. What is the third derivative of z(h) wrt h? -1140*h**2 Let f(m) be the second derivative of -7*m**6/10 + m**4/3 - 32*m. Find the third derivative of f(u) wrt u. -504*u Let h(j) = -8*j**4 + 24. Let i(f) be the third derivative of -f**7/70 + 4*f**3/3 + 7*f**2. Let p(a) = 6*h(a) - 17*i(a). Differentiate p(g) wrt g. 12*g**3 What is the first derivative of 8*u**2 + 6 - 1 + 5 - 4 wrt u? 16*u What is the second derivative of -31*s + s**2 + s**2 + 28*s wrt s? 4 Differentiate -7 - b**4 - 11*b**4 - 8*b**4 + 10*b**4 with respect to b. -40*b**3 Let b(n) be the first derivative of 11*n**6/2 - 2*n**2 - 15. Find the second derivative of b(w) wrt w. 660*w**3 Suppose r = 4*r. Let t be r/((-1)/(-3 + 2)). Differentiate -l**3 - 2 + 3 + t*l**3 wrt l. -3*l**2 Let d(u) = 9*u**3 - 7*u**2 + 7*u - 9. Let z(v) = v**3 - v**2 + v - 1. Let o(g) = 2*d(g) - 14*z(g). Find the first derivative of o(p) wrt p. 12*p**2 Let o(x) = 7*x**3 + 2*x**2 - 11*x + 2. Let q(v) = v**2 - v + 1. Let t(j) = -o(j) + 2*q(j). Find the second derivative of t(z) wrt z. -42*z Let z(y) = 4*y**6 - 3*y**4 - 3*y**3 - y**2. Let b(c) = 4*c**6 - 4*c**4 - 4*c**3. Let i(o) = 3*b(o) - 4*z(o). What is the third derivative of i(f) wrt f? -480*f**3 Let b(g) = -6*g**3 + 55*g + 5. Let f(r) = 7*r**3 - 56*r - 4. Let c(t) = -4*b(t) - 5*f(t). What is the second derivative of c(q) wrt q? -66*q Let j(g) be the third derivative of g**6/10 - 11*g**3/6 + 12*g**2. Differentiate j(o) wrt o. 36*o**2 Let a be -3 - (-4)/(4/5). What is the second derivative of -3*b + 8*b**3 + a*b**5 - 8*b**3 wrt b? 40*b**3 Let y(a) be the second derivative of a**7/210 + 5*a**4/24 - 7*a**3/6 - 3*a. Let r(q) be the second derivative of y(q). What is the derivative of r(b) wrt b? 12*b**2 Suppose 10*b - 20 = 6*b. Let k be (0 - b)*8/(-20). What is the second derivative of 6*z**2 - z**2 - 4*z - 3*z**k wrt z? 4 Let p(k) be the first derivative of 2/3*k**3 + 1 + 0*k**2 + 0*k**4 + 0*k**5 + 1/3*k**6 + 0*k. What is the third derivative of p(f) wrt f? 120*f**2 Suppose -n + 2*n = 4*u + 15, 0 = -5*n - 3*u + 98. Suppose -n = q - 0*d + 5*d, -4*q + 2*d = -12. Differentiate v**2 + 2 - q - 2*v**2 wrt v. -2*v Suppose g - 3*g = -10. Find the first derivative of -3*j**2 + g - 3 + j**2 wrt j. -4*j Let c(h) be the first derivative of 4*h**5/5 - 16*h**3/3 + 6. What is the third derivative of c(u) wrt u? 96*u Let z(b) be the third derivative of 3*b**7/35 + b**5/3 + 13*b**2. Find the third derivative of z(c) wrt c. 432*c Let q(t) = -9*t**4 - 3*t**3 + 44*t - 3. Let r(f) = -26*f**4 - 8*f**3 + 132*f - 8. Let j(h) = 8*q(h) - 3*r(h). Find the second derivative of j(g) wrt g. 72*g**2 What is the second derivative of 54*n - 24*n**2 + 8*n**2 + 9*n**2 + 6*n**2 + 15*n**3 wrt n? 90*n - 2 Let w(p) = -p**2 + p. Let j(k) = -5*k**4 + 6*k**2 + 4*k. Let d(a) = -j(a) + 4*w(a). Find the third derivative of d(r) wrt r. 120*r Let b(s) be the second derivative of 31*s**6/30 - 23*s**4/12 + 29*s. What is the third derivative of b(l) wrt l? 744*l Let g(j) be the third derivative of 0*j**3 - 2*j**2 + 0 + 1/8*j**4 + 1/105*j**7 + 0*j**6 + 0*j**5 + 0*j. Find the second derivative of g(a) wrt a. 24*a**2 Let q be (-1)/3 + (-14)/(-6). What is the second derivative of -2*u - u + 4*u + u + q*u**3 wrt u? 12*u Let d(p) be the third derivative of p**8/1680 + p**5/30 + p**4/12 + 3*p**2. Let f(m) be the second derivative of d(m). What is the derivative of f(t) wrt t? 12*t**2 Let l(f) be the first derivative of 4*f**7/7 - 13*f**3/3 + 9. What is the third derivative of l(p) wrt p? 480*p**3 Suppose 0 = -2*f + 4, f = -b - 3*b + 10. What is the third derivative of -j**2 - 1 + j**4 + 1 - j**b wrt j? 24*j What is the derivative of 4*m**2 + 2 + m**2 + 3 + 0 wrt m? 10*m Let b = 6 + -5. Let t(w) = -2*w**3 + 2 + w**3 + b - 2*w**3. Let n(p) = p**3 - 1. Let v(u) = 5*n(u) + 2*t(u). Differentiate v(d) with respect to d. -3*d**2 Find the third derivative of 2*x**2 + 6*x**4 + 3*x**4 + 3*x**2 - 5*x**4 wrt x. 96*x Let r = 9 - 4. Suppose -r*b = -b - 20. Find the third derivative of -4*d**2 + 2*d**b + 3*d**2 + 0*d**5 wrt d. 120*d**2 Let k(n) be the first derivative of n**4/2 + 10*n**3/3 + 4. What is the third derivative of k(f) wrt f? 12 Let i(l) = -18*l**4 + 5*l**2 + 5*l - 4. Let x(w) = 18*w**4 - 4*w**2 - 4*w + 3. Let b(q) = 4*i(q
{ "pile_set_name": "DM Mathematics" }
, 6/43 in descending order. 2, 6/5, 6/43, -1/2 Put 8, 42, -34, -5 in decreasing order. 42, 8, -5, -34 Sort -5, 11, -21, 10, 1. -21, -5, 1, 10, 11 Put 0.7, -31, 7, -0.6 in decreasing order. 7, 0.7, -0.6, -31 Put 0.3, -18, -1/109 in ascending order. -18, -1/109, 0.3 Put 1/2, 5, -4/7, 0.6, -2.5 in decreasing order. 5, 0.6, 1/2, -4/7, -2.5 Sort 18/7, 0.0577, 0 in increasing order. 0, 0.0577, 18/7 Sort -0.3, 1/2, -1/2, -3, 1253, 1/3. -3, -1/2, -0.3, 1/3, 1/2, 1253 Sort 0.1, -11.07, 6.4 in ascending order. -11.07, 0.1, 6.4 Put -3, -1, 11, -2, 27, 5 in ascending order. -3, -2, -1, 5, 11, 27 Sort -2/387, 2/9, -0.21, 0.4. -0.21, -2/387, 2/9, 0.4 Sort 20, -0.09, 3, -6, 15/4 in ascending order. -6, -0.09, 3, 15/4, 20 Sort 11/1303, 0, 4 in decreasing order. 4, 11/1303, 0 Sort -2, -3, -4, 2, -7. -7, -4, -3, -2, 2 Put -564309, -2, 5 in decreasing order. 5, -2, -564309 Sort -5, 2144, -1, 5. -5, -1, 5, 2144 Sort -5, -26, -2, 1, 3, 56 in increasing order. -26, -5, -2, 1, 3, 56 Sort -4, 7, 3, -8, -18 in decreasing order. 7, 3, -4, -8, -18 Sort 0.184, 5, 2/645 in increasing order. 2/645, 0.184, 5 Sort 6.39, -1063, 5 in descending order. 6.39, 5, -1063 Sort -336, 0.8, -2, -3 in descending order. 0.8, -2, -3, -336 Put 4, -5, 0.9399, -0.4, -3 in descending order. 4, 0.9399, -0.4, -3, -5 Put -0.7, -0.28, -1.36 in descending order. -0.28, -0.7, -1.36 Put -1/3, 6, 3/5, 1/7, -0.03 in ascending order. -1/3, -0.03, 1/7, 3/5, 6 Sort 2, 0.0298, -3, 71, -5 in decreasing order. 71, 2, 0.0298, -3, -5 Put 38, 5, 2/295, 2 in increasing order. 2/295, 2, 5, 38 Put 1, 3711, 5, 121 in descending order. 3711, 121, 5, 1 Put -3, 11, 1, 5, -5, -78 in descending order. 11, 5, 1, -3, -5, -78 Put -209781, -3, -1 in descending order. -1, -3, -209781 Sort -0.4, -20.203, -3/2, -15. -20.203, -15, -3/2, -0.4 Sort -0.4, 3, -0.51, 2/15. -0.51, -0.4, 2/15, 3 Put -6, -164, 1/8, -0.1, 5 in decreasing order. 5, 1/8, -0.1, -6, -164 Put -3, 5, 1, -11, 180, -4 in ascending order. -11, -4, -3, 1, 5, 180 Sort -2399, 3/7, -2, -1, -2/3. -2399, -2, -1, -2/3, 3/7 Sort -3, 8, 60 in descending order. 60, 8, -3 Sort 193, -3, 1, -4, 5. -4, -3, 1, 5, 193 Put 0.4, 2/9, 46, 1, 2, -80/7 in ascending order. -80/7, 2/9, 0.4, 1, 2, 46 Put 4, -4, 44, 2, -5, 17 in decreasing order. 44, 17, 4, 2, -4, -5 Put 15, 6, -104, 3 in ascending order. -104, 3, 6, 15 Put -1/159, -2, -0.3, 14, -4, 5 in decreasing order. 14, 5, -1/159, -0.3, -2, -4 Sort 30, -5, 1, -32, -3, -12. -32, -12, -5, -3, 1, 30 Sort -8769, 5, -3, 1, 2/5 in ascending order. -8769, -3, 2/5, 1, 5 Put -8, -542, -50 in increasing order. -542, -50, -8 Sort 168, 3, -4, 1, -286. -286, -4, 1, 3, 168 Put 4, 0.3, 5, 13, -6/11 in increasing order. -6/11, 0.3, 4, 5, 13 Put -1, 306, -10, 5 in increasing order. -10, -1, 5, 306 Put -2, 6, -578 in ascending order. -578, -2, 6 Sort 32, 3/7, 2/3 in increasing order. 3/7, 2/3, 32 Sort -7, 3, 393, 5 in decreasing order. 393, 5, 3, -7 Put -0.114, 33, 0.01, -0.5, 2, 1 in decreasing order. 33, 2, 1, 0.01, -0.114, -0.5 Put 46, 1615, 5, -1, -3 in descending order. 1615, 46, 5, -1, -3 Put 1/3, -0.3, 1, -4, -1093, -2 in increasing order. -1093, -4, -2, -0.3, 1/3, 1 Sort -21, -622, 4. -622, -21, 4 Sort -0.1, 8/415, -4 in decreasing order. 8/415, -0.1, -4 Put 16, 4, 8, -16 in increasing order. -16, 4, 8, 16 Put -1098, 4, -0.5, 0.02, -2 in decreasing order. 4, 0.02, -0.5, -2, -1098 Put -236, 2, -136 in decreasing order. 2, -136, -236 Sort -1/9, 6, 0.3, -18, -305 in decreasing order. 6, 0.3, -1/9, -18, -305 Put -2, 197, -0.07, -0.4 in descending order. 197, -0.07, -0.4, -2 Put -65, -10, -1, 6 in decreasing order. 6, -1, -10, -65 Put -0.5, -17/847, 2, -2 in increasing order. -2, -0.5, -17/847, 2 Put 3, -2/5, 0.4, -8, -785 in decreasing order. 3, 0.4, -2/5, -8, -785 Sort 2, -2, -3, 5 in descending order. 5, 2, -2, -3 Sort -168, -2, 15, 0, 4 in descending order. 15, 4, 0, -2, -168 Put 7, 18, 1, 5, -3 in descending order. 18, 7, 5, 1, -3 Put 2, -31, 14, 3, -3, 4 in increasing order. -31, -3, 2, 3, 4, 14 Put 10, 2, -0.023, -2, 59, 0.4 in decreasing order. 59, 10, 2, 0.4, -0.023, -2 Sort -29.15, 0.5, -1/4, 9 in increasing order. -29.15, -1/4, 0.5, 9 Sort -3, -4, 0.089, -15/2, 2 in descending order. 2, 0.089, -3, -4, -15/2 Sort 3, 10, 1, -4, -121. -121, -4, 1, 3, 10 Sort -6, 0, -4, -12, 4 in decreasing order. 4, 0, -4, -6, -12 Put -9, 60, 3, 31, -3 in decreasing order. 60, 31, 3, -3, -9 Sort 122, 18, -7, 5. -7, 5, 18, 122 Sort 729, -21, 0, -2 in decreasing order. 729, 0, -2, -21 Put 130, 1417, 1 in ascending order. 1, 130, 1417 Sort -840, 1, -2, 4, 5, -0.5 in ascending order. -840, -2, -0.5, 1, 4, 5 Put 1, 910, -20, 0 in ascending order. -20, 0, 1, 910 Sort 186, 2, 0, -61, 42. -61, 0, 2, 42, 186 Sort 4, 30, 2, -3, -2. -3, -2, 2, 4, 30 Sort 4, -9, 674, 0, -2, -4 in descending order. 674, 4, 0, -2, -4, -9 Put -5251, -0.5, 27 in ascending order. -5251, -0.5, 27 Sort -3, -1, 4, -15, 0.2, 2. -15, -3, -1, 0.2, 2, 4 Sort -5, -1, 10046, -7 in ascending order. -7, -5, -1, 10046 Put 23, -0.05, 2083, 5 in decreasing order. 2083, 23, 5, -0.05 Put -0.5, -5/2, -7.9, 0.7, -0.06 in descending order. 0.7, -0.06, -0.5, -5/2, -7.9 Sort -4, 2, -63, 3730 in decreasing order. 3730, 2, -4, -63 Sort 2/11, 0.3, -29, 27, 0.7 in increasing order. -29, 2/11, 0.3, 0.7, 27 Put 38, 82, -55 in decreasing order. 82, 38, -55 Sort -0.1, -4, -5, 3, 2.539 in decreasing order. 3, 2.539, -0.1, -4, -5 Put 5, -107, 3.1 in increasing order. -107, 3.1, 5 Sort -4/7, -75, 5, 190, -4 in increasing order. -75, -4, -4/7, 5, 190 Sort 5, 908, -19 in ascending order. -19, 5, 908 Put -3, 5, 0, 5619157 in ascending order. -3, 0, 5, 5619157 Sort 5/6, 157/41, 21/8 in increasing order. 5/6, 21/8, 157/41 Sort -50/7, -19/5, -2.8 in descending order. -2.8, -19/5, -50/7 Sort -2, -6, -3, -4, 0, 872 in decreasing order. 872, 0, -2, -3, -4, -6 Sort -2/13, -54/11, -0.16, -4, 4 in decreasing order. 4, -2/13, -0.16, -4, -54/11 Put 3, 24, 4, 172, 0 in descending order. 172, 24, 4, 3, 0 Put -0.2, -5, 2/13, -1/7, 66 in ascending order. -5, -0.2, -1/7, 2/13, 66 Put -24, 34, 0, 2, 3/4, -1 in ascending order. -24, -1, 0, 3/4, 2, 34 Put 3, 2, 1, -2, -1, 975 in ascending order. -2, -1, 1, 2, 3, 975 Sort 1, 4, 0, 3, 0.286 in increasing order. 0, 0.286, 1, 3, 4 Sort 2/13, -167, 5, 2/11, 2/5, -1/3. -167, -1/3, 2/13, 2/11, 2/5, 5 Sort 0.02, 410, 4, 1/7, -0.02 in descending order. 410, 4, 1/7, 0.02, -0.02 Sort -2/19, -0.1, 3, 0.6. -2/19, -0.1, 0.6, 3 Sort 260, 4, 0, 6 in decreasing order. 260, 6, 4, 0 Put -44, -12, 0.22 in decreasing order. 0.22, -12, -44 Sort 4, -3, -1, -2998. -2998, -3, -1, 4 Put -0.1, 2/71, 38/3, 1/37 in decreasing order. 38/3, 2/71, 1/37, -0.1 Sort -1, 103, -2/87 in increasing order. -1, -2/87, 103 Put -3, 0, 4, -2, 41 in descending order. 41, 4, 0, -2, -3 Put 23, -982, 25 in increasing order. -982, 23, 25 Sort 3, -12, -1, -11, -4, -44 in decreasing order. 3, -1, -4, -11, -12, -44 Put -23, -0.25, 13 in decreasing order. 13, -0.25, -23 Sort 6/133, -4, 4, -0.4 in descending order. 4, 6/133, -0.4, -4 Put -2/15, -5, -25.2, -4, 1 in ascending order. -25.2, -5, -4, -2/15, 1 Put -24, -5, 8215 in decreasing order. 8215, -5, -24 Sort 0.4, 5, 1, -95850, 0.5 in descending order. 5, 1, 0.5, 0.4, -95850 Put 2, -2, 69, 89, 5 in ascending order. -2, 2, 5, 69, 89 Sort 21, 1257, -39. -39, 21, 1257 Sort 14, -3, 1, -4, 892. -4, -3, 1, 14, 892 Sort 4, -1, -72, 288 in ascending order. -72, -1, 4, 288 Put -16, 0.5, 5, 0.1, -6, -2.9 in ascending order. -16, -6, -2.9, 0.1, 0.5, 5 Put -21, -3, 14 in descending order. 14, -3, -21 Sort 4, 8, -6, 2, 5, 0. -6, 0, 2, 4, 5, 8 Put -6, 2/7, -0.08, -5/6, 5 in descending order. 5, 2/7, -0.08, -5/6, -6 Put 44, 3, -8, -4, -6, 1 in descending order. 44, 3, 1, -4, -6, -8 Sort -2, 617, 2/7, 0.06 in ascending order. -2, 0.06, 2/7, 617 Sort 46548, 52, -2 in decreasing order. 46548, 52, -2 Sort -2, 238, 2, -5, -4 in increasing order. -5, -4, -2, 2, 238 Sort -2, 3, -4, 0, 10, 140 in decreasing order. 140, 10, 3, 0, -2, -4 Sort 3/4, -93, 3, 1, 2, 0.4 in descending order. 3, 2, 1, 3/4, 0.4, -93 Sort 0, 9/404, 6 in descending order. 6, 9/404, 0 Put 14/23, 2/9, -59 in decreasing order. 14/23, 2/9, -59 Put 4, 2/3, -2, 1006, 16/7 in descending order. 1006, 4, 16/7, 2/3, -2 Sort 0.9, -117, -3/37 in de
{ "pile_set_name": "DM Mathematics" }
- 3*o**2 + 4*o + 6. Calculate 8*g(h) + 3*s(h). 10*h**3 - h Let z(r) = 2*r**2 - r - 1. Let c(f) = 11*f**2 + 6*f + 4. Determine -c(m) + 4*z(m). -3*m**2 - 10*m - 8 Let b(w) = w. Let z(a) = 3*a. Suppose -3*c - 5*o + 12 = 1, o = -c + 7. Suppose 4*r = 2*s + c, -4*r = -5*s - 0*s - 12. Let l = 2 - s. Calculate l*b(h) - z(h). -h Let l(d) = 2*d**3 + 6*d - 3. Let w be (1 - (-7)/35)/(9/(-30)). Let a(h) = h**3 + h - 1. Determine w*a(o) + l(o). -2*o**3 + 2*o + 1 Suppose -53*q - 5 = 737. Let m(d) = 2*d + 3. Let l(v) = 6*v + 8. Let r(c) = -18*c - 24. Let k(f) = -17*l(f) - 6*r(f). Determine q*m(b) + 5*k(b). 2*b - 2 Let j(n) = -65 + 46 + 17*n + 25. Let h(x) = -9*x - 3. Calculate 11*h(d) + 6*j(d). 3*d + 3 Let a(q) = q**2 + 3*q - 109. Let i be a(-12). Let m(l) = -8*l**3 - 6*l**2 - 10*l + 6. Let f(z) = z**3 + z**2 + z - 1. Determine i*m(n) - 6*f(n). 2*n**3 + 4*n Let h(w) = -31*w + 2. Let n(j) = -1150*j + 75. Determine 150*h(d) - 4*n(d). -50*d Let u(b) = -b**3 + b**2 + b. Let p(z) = -28*z**3 - 2*z**2 - 2*z + 2. Calculate p(y) + 2*u(y). -30*y**3 + 2 Let b(p) = 6*p - 6. Let n(i) = -i. Suppose -116*m + 107*m - 9 = 0. Give m*b(j) - 4*n(j). -2*j + 6 Let q(o) = -2*o**2 - 34*o + 1. Let n(j) = 4*j**2 + 67*j - 2. Determine -2*n(z) - 5*q(z). 2*z**2 + 36*z - 1 Let h(q) = -q + 1. Suppose 0 = j - 3*j + 4. Let u(b) = 0*b + 5 + b**j + 0*b**2 - 8*b. Determine 6*h(i) - u(i). -i**2 + 2*i + 1 Let o(q) = -10*q + 10. Let a(j) = 15*j + 3. Let t(m) = -18*m - 3. Let s(b) = 7*a(b) + 6*t(b). What is -5*o(z) + 16*s(z)? 2*z - 2 Let s(u) be the second derivative of -3*u + 0 - 7/6*u**3 + 2*u**2. Let g(p) = -31 - 7*p + 34 - 6*p + 7*p. Calculate 5*g(q) - 4*s(q). -2*q - 1 Let t(w) = -4. Let x(l) be the third derivative of l**7/5040 - l**6/40 - l**5/5 - 2*l**2. Let v(c) be the third derivative of x(c). Determine -18*t(s) + 4*v(s). 4*s Let a(d) be the third derivative of d**5/12 - d**4/12 + d**3/3 - 5*d**2 - 8*d. Let k(t) = -25*t**2 + 11*t - 11. Give 33*a(l) + 6*k(l). 15*l**2 Let n(a) = a**3 + 2*a**3 + 5*a - 3*a + 5*a**2. Let u = 47 + -41. Suppose -u = 23*i - 25*i. Let l(y) = -2*y**3 - 3*y**2 - y. What is i*n(j) + 5*l(j)? -j**3 + j Let t(x) = 2*x**3 + x. Let b(w) = w**3 + 67*w. Determine b(q) + 3*t(q). 7*q**3 + 70*q Let v(n) be the second derivative of -n**3/3 + 5*n**2/2 + 17*n + 2. Let d(y) = y - 2. Calculate -5*d(p) - 3*v(p). p - 5 Let p = -101 + 101. Suppose -b + 123 - 117 = p. Let n(z) = -1 + 3*z + 3 + 5. Let x(r) = 6*r + 13. What is b*x(g) - 11*n(g)? 3*g + 1 Let m(n) = n. Let l(s) = 8*s + 4. Let g(b) = l(b) - 5*m(b). Let a(h) = 9*h + 11. Determine 3*a(r) - 8*g(r). 3*r + 1 Let z(t) be the third derivative of t**5/3 + 17*t**4/24 - 17*t**3/6 + t**2. Let i = -5678 + 5672. Let v(s) = 7*s**2 + 6*s - 6. Give i*z(h) + 17*v(h). -h**2 Let r(k) = 5*k - 8. Let n(z) = 15*z - 22 + 7 - 6*z. Suppose 0 = 5*x + 10 + 20. Calculate x*n(t) + 11*r(t). t + 2 Let k be -1 + 12/3 + -1. Let n(g) = g**3 - 24*g**2 + 7. Let m be n(24). Let w(q) = q + 2. Let p(i) = -3*i - 7. Determine k*p(t) + m*w(t). t Let m(i) = 288*i - 26. Let n(a) = 144*a - 15. What is -4*m(f) + 7*n(f)? -144*f - 1 Let z(d) = -d**2. Let h(c) = 24*c**2 + 3. Give h(p) + 9*z(p). 15*p**2 + 3 Let j = -60 - -64. Let v(m) = 176*m**3 + 33*m**2 - 33*m. Let q(k) = -11*k**3 - 2*k**2 + 2*k. What is j*v(f) + 66*q(f)? -22*f**3 Let a(n) = 20*n. Let x(u) = 3*u. Let j(o) = -2*a(o) + 14*x(o). Let d(b) = -11*b + 3. Calculate -2*d(t) - 10*j(t). 2*t - 6 Let d(h) = -1470*h**3 + 51*h - 17. Let j(f) = 490*f**3 - 18*f + 6. What is 6*d(s) + 17*j(s)? -490*s**3 Suppose 4*y + 5*p = -12, -2*y - 4 = 2*y + 3*p. Let l(b) = 0 + 3 + b - 3*b**y + 0*b**2. Let h(f) = 10*f**2 - 4*f - 10. What is 2*h(w) + 7*l(w)? -w**2 - w + 1 Let t(r) = 3*r - 2. Let o(a) = -5728*a + 3580. Calculate o(s) + 1790*t(s). -358*s Let r(g) = 21*g**3 - 7*g**2 + 7*g. Let u(o) = -17365*o + 17360*o + 12*o**2 - 7*o**2 - 14*o**3. Determine 5*r(t) + 7*u(t). 7*t**3 Suppose 56*l = 59*l + 15. Let o(n) = -2*n**2 - n + 4. Suppose -2*v = -5*m - 1, v + m + 4 = -m. Let b(z) = 4*z**2 + 3*z - 9. Determine l*o(u) + v*b(u). 2*u**2 - u - 2 Let p(r) = -4*r**3 + 11*r**2 + 13*r + 19. Let a(v) = -2*v**3 + 6*v**2 + 7*v + 10. Let g be 1/5 + (-672)/60. Calculate g*a(j) + 6*p(j). -2*j**3 + j + 4 Let o(l) = -7*l**3 - 5*l**2 + 4*l + 1. Let s(d) = -12*d**3 - 9*d**2 + 7*d + 2. Let h(t) = -5*o(t) + 3*s(t). Let n(m) = -m**2 - m - 1. Calculate h(q) + n(q). -q**3 - 3*q**2 Let s(i) = i. Let c(r) = -2*r**2 + 4*r + 2. Let f(v) = v - 9. Let z be f(15). Let a be (-4)/z*(-9 - 0). Give a*s(q) - c(q). 2*q**2 + 2*q - 2 Let n(c) = 279*c + 1670. Let p be n(-6). Let y(a) = -3*a + 4. Suppose 21 = -5*j - 14. Let x = j - -2. Let f(r) = 4*r - 5. Determine p*f(w) + x*y(w). -w Suppose -5*c + s - 5*s = 8, 4*s = 2*c + 20. Let n(z) = -z + 1. Let k(w) = 5*w - 2. Determine c*n(x) - 2*k(x). -6*x Let m(y) = y**3 - y**2 - y - 1. Let o(x) = -8*x**3 + 4*x**2 + 6*x + 5. Suppose 109*l = 112*l + 3*u + 9, 3*l + 4*u = -11. Determine l*o(d) - 4*m(d). 4*d**3 - 2*d - 1 Let m(u) = 9*u**2 + 8*u. Let d(v) = v**2 + v. Suppose 5*s + 6 = 3*s. Suppose -62*t = -10*t + 243 - 1491. What is s*m(p) + t*d(p)? -3*p**2 Let o = -2034 - -2018. Let a(p) = -16*p**2 - 14 - 2 + 15*p**2 + 27*p**2 + 16*p. Let y(j) = -3*j**2 - 2*j**2 - 3 - 3*j + 6. Determine o*y(m) - 3*a(m). 2*m**2 Let o(d) = d**3 - d**2 + 1. Let z(y) = -22*y**3 - 5*y**2 + y + 5. Determine -5*o(p) + z(p). -27*p**3 + p Let h(x) = 5*x**3 - 21*x - 31. Let p(t) = -5*t**3 + 18*t + 31. Give 6*h(f) + 7*p(f). -5*f**3 + 31 Let m(c) = -4*c. Let w(r) = -60*r + 8. Give 20*m(z) - w(z). -20*z - 8 Let d(y) = -y**2 - y - 1. Let i(z) = -z**2 - 2*z + 5. Suppose -5*n = -4*f + 11, 16 = -4*n + 2*f + 3*f. Calculate n*i(j) - 2*d(j). j**2 + 7 Let m(n) = n**3 + n**2 + n + 1. Let y(x) = -x**2 - 12*x - 14. Let r be y(-10). Suppose c + 1 = r. Let u(p) = 2*p**3 + 3*p**2 + 5*p + 7. Determine c*m(d) - u(d). 3*d**3 + 2*d**2 - 2 Let o(r) be the second derivative of r**3/3 + r**2/2 + r. Suppose 4*u + 2 = -4*v - 30, -4*v + 4 = 0. Let y(x) = -5*x - 2. What is u*o(k) - 4*y(k)? 2*k - 1 Let u(i) = -i**2 + 1. Let b = 2263 - 2265. Let f(v) = 10*v**2 + 1. Determine b*u(q) + f(q). 12*q**2 - 1 Let c(d) = d**2 - d + 4. Let w(j) = -2*j**2 + j. Let y(k) = -7*k**2 + 2*k + 12. Let t(m) = -5*w(m) + y(m). Give -17*c(x) + 6*t(x). x**2 - x + 4 Let x(w) = -5*w - 11. Let g(m) = -7*m + 27*m + 6 - 23*m. Let h(l) = -2*l + 5. Let o(t) = -3*g(t) + 4*h(t). Give -11*o(p) - 2*x(p). -p Let r(h) = 4*h**2 - 3*h - 31. Let s(t) = -7*t**2 + 5*t + 62. Give 5*r(o) + 3*s(o). -o**2 + 31 Let q(r) = 3*r**2 + r + 3. Suppose 37 = -36*a + 30 - 137. Let g = 3 - 10. Let u(c) = -5*c**2 - 2*c - 5. What is a*u(k) + g*q(k)? -k**2 + k - 1 Let z be 6/(-5 - ((-114)/12 - -3)). Let f(p) = 3*p**2 + 4*p - 4. Let a(r) = -4*r**2 - 3*r + 3. What is z*a(w) + 3*f(w)? -7*w**2 Let k(o) = -14*o**2 - 4*o - 10. Let h(r) = r. Give -5*h(g) - k(g). 14*g**2 - g + 10 Let u(b) = 5*b**3 + 2*b**2 - 5*b - 3. Let w(s) = -10*s**3 - 3*s**2 + 9*s + 5. Give -5*u(o) - 3*w(o). 5*o**3 - o**2 - 2*o Let z(x) = -18*x**3 + 5*x. Let f(l) = -l**2 + 9*l - 15. Let u be f(4). Let d(q) = 9*q**3 - 3*q. What is u*d(s) + 3*z(s)? -9*s**3 Let x(u) = -3*u - 1. Let z(c) = 2*c + 1. Let i = -92 - -95. Suppose 9 = 3*h - i. Give h*x(j) + 5*z(j). -2*j + 1 Let u(l) = 5*l**2 - 24*l + 4. Let p(y) = 25*y**2 - 121*y + 22. What is 2*p(d) - 11*u(d)? -5*d**2 + 22*d Let h(v) = 4 - 4 - 2*v. Let u be (-3 + 1/1)/1. Let m(l) = -12*l**2 + 14*l - 70. Let z(n) = 5*n**2 - 7*n + 30. Let t(s) = -3*m(s) - 7*z(s). Give u*t(a) - 7*h(a). -2*a**2 Let n(r) = 5*r. Let s(g) = 14*g + 1. Let x(q) = -3*q**3 + 22*q**2 - 9*q + 6. Let a be x(7). Give a*n(p) + 3*s(p). 2*p + 3 Let k(b) = b - 1. Let p(v) = 3 - 31 + 15*v + 22. Give 6*k(m) - p(m). -9*m Let i(h) = -2*h - 7. Let f(n) = 3*n + 15. Calculate -3*f(y) - 5*i(y). y - 10 Let r be 4/(-10) + 48/(-5). Let j(k) = -1. Let p(v) be the third derivative of v**4/12 - 2*v**3 - 24*v**2. What is r*j(l) + p(l)? 2*l - 2 Let d = -886 - -884. Let g(u) = -u**3 + u**2 + u - 1. Let v(x) = 13*x**3 + 2*x**2 + 2*x - 2. Determine d*g(f) + v(f). 15*f**3 Let g = 27 - 16. Let o = -16 - -17. Let b be (-8 - o)/((-27)/18). Let j(z) = -17*z**2 + 11*z. Let k(m) = 9*m**2 - 6*m. Give b*j(l) + g*k(l). -3*l**2 Let v(m) = -10*m**2 - 6. Let w(o) = -7*o + 30. Suppose 5*q - 7 - 18 = 0. Let r be
{ "pile_set_name": "DM Mathematics" }
s. What is n rounded to the nearest ten thousand? 100000 Suppose -2*i - 4 = 6*d - 4*d, -5*i - 10 = 2*d. Let t = d - 0. Suppose t = -3*g + 1101453 + 1598547. Round g to the nearest one million. 1000000 Let i = 417.999433 - 418. What is i rounded to five dps? -0.00057 Let p = -6200 + 6511.1. What is p rounded to the nearest one hundred? 300 Let l = -100 + 93. Let m = -7.0167 - l. What is m rounded to 3 decimal places? -0.017 Let n = 0.417 - 0.4. Let i = n + 12.483. Round i to the nearest 10. 10 Let w = 19.999998854 + -20. Round w to 6 decimal places. -0.000001 Suppose 3*q - 2*g = 20, 3*g = -3 - 0. Suppose 0 = 3*t - 21 + q. Suppose 97610 + 86395 = -2*r - 5*u, 3*u + 460003 = -t*r. What is r rounded to the nearest 10000? -90000 Let n = 20158.000008663 - 20158. What is n rounded to 7 dps? 0.0000087 Let c = 18.56 - -0.94. Let j = c + -24. What is j rounded to the nearest integer? -5 Let b(o) be the first derivative of -4 - o + 16200001/2*o**2. Let r be b(1). Round r to the nearest 1000000. 16000000 Let m = 31.6142 + -0.1542. What is m rounded to one dp? 31.5 Let x(p) = -96*p + 137. Let w be x(-3). What is w rounded to the nearest 10? 430 Let s(r) be the first derivative of -791664*r**2 - 32*r + 20. Let h be s(6). Round h to the nearest one million. -10000000 Suppose -2*u + u - 3*l = -10, u + 2*l - 9 = 0. Let x be 178/(-8)*(-5 + u + -14). Round x to the nearest 10. 270 Suppose 3*o - 7*o = -40. Let t(k) = 9*k**2 + 7*k + 11. Let v be t(o). Let b = 601 - v. Round b to the nearest 100. -400 Let t = -91158 + 262503. Let p = t + -171347.10022. Let m = p - -2.1. Round m to four decimal places. -0.0002 Let a = -9.4 - 2.6. Let c = 16 - a. Let f = c + -27.999923. Round f to 5 decimal places. 0.00008 Let t = -342.42 + 354. What is t rounded to 1 dp? 11.6 Let g(t) = -4587*t + 31. Suppose -2*r - 4*r = 78. Let l be g(r). Let c = l - 85662. What is c rounded to the nearest ten thousand? -30000 Let h(m) be the second derivative of 136*m**3/3 - m**2 - 4*m. Let d be h(3). Suppose d = s - 6386. Round s to the nearest 1000. 7000 Let y = -19.8 - -19.659. Let p = 0.1410342 + y. Round p to 6 decimal places. 0.000034 Let a = -31 - -44. Suppose a*q = 15*q - 860000. Round q to the nearest 100000. 400000 Let m = -0.6 + 3.3. Let g = 30.697 + -27.9996. Let d = m - g. Round d to 3 dps. 0.003 Let p = 289.0000273 - 289. Round p to 6 decimal places. 0.000027 Let w = 15.78 - -0.22. Let j = w + -15.999999. Round j to six dps. 0.000001 Let w = 0.044 - 0.1165. Round w to 3 decimal places. -0.073 Let n be (-1)/(-3) + 496109977/69. Round n to the nearest 100000. 7200000 Let h be 3*(-142286)/3*1. Let k = 247266 + h. Suppose -3*o + 5*o = -4*p + 83992, -k = -5*p - 5*o. What is p rounded to the nearest 10000? 20000 Let d = -703.495 + 688.5. Let w = d - -15. Round w to three decimal places. 0.005 Let x = -43.2 + 43.2054. What is x rounded to 2 decimal places? 0.01 Let h = -0.81 - -0.51. Let v = -0.299832 - h. Round v to five dps. 0.00017 Let o(h) = -35*h**2 + 3*h - 2. Let g be o(2). Round g to the nearest 10. -140 Let v be (1 + -4)*-1 - (1 + 1). Let x be v - ((-741984)/14 + 4/(-28)). Round x to the nearest 10000. 50000 Let l = 327618 - 225219.8. Let a = l + -102399.200002. Let u = a - -1. Round u to six dps. -0.000002 Let o(c) = 10400*c. Suppose 25*k - 28*k = 45. Let a be o(k). Round a to the nearest 10000. -160000 Let a = -6 - -8. Let f be 3100022/(3 - a) + 3. Suppose 3*h - 8*h - 7750025 = -5*j, -5*h = -2*j + f. What is j rounded to the nearest one hundred thousand? 1600000 Let k = 80.800000108 + -80.8. Round k to 7 decimal places. 0.0000001 Let c(l) = -528*l**2 + l + 5. Let w(u) = -1056*u**2 + 2*u + 10. Let h(p) = 7*c(p) - 3*w(p). Let q be h(-5). What is q rounded to the nearest one thousand? -13000 Suppose 606*l + 115555000 = 595*l. Round l to the nearest one million. -11000000 Let r = 161.0664 - 155.96. Let q = r - 12.4191. Let p = -7.3 - q. What is p rounded to 3 dps? 0.013 Let g(r) be the first derivative of 285*r**2 - r - 5. Let o be g(-1). Round o to the nearest 100. -600 Let o = 426.45 - -6.55. Let n = o - 432.9609. What is n rounded to two dps? 0.04 Suppose -30 = -b + 40. Suppose -2*x - 13 = -5*k + 64, 5*k = -5*x + b. Round k to 0 dps. 15 Let s = -3.307 - -3.68. Round s to 1 dp. 0.4 Suppose 5*c - 11*i + 13*i + 19530 = 0, 5*i = c + 3879. Let x = -6974 - c. What is x rounded to the nearest one hundred? -3100 Let l = -21972 + 55236. Suppose -h + 2*h = l. Suppose -x + 38736 = -h. What is x rounded to the nearest 10000? 70000 Let x = 64058.1663 + -64062. Let o = x - -3.963708. Let c = 0.13 - o. What is c rounded to five decimal places? -0.00001 Let d = 0.24 - 2.14. Let o = d - -3.1. Let g = o - 1.2000044. Round g to 6 decimal places. -0.000004 Let b be ((-2)/(-1))/(4/(-6160)). What is b rounded to the nearest 1000? -3000 Suppose -3*w + 19 - 31 = 0. Let s be w + (4 - 2) - -7000002. What is s rounded to the nearest one million? 7000000 Let c = 37 - 37.068. Let t = c - -12.468. Round t to the nearest integer. 12 Let p(z) = 98*z - 3. Let i be p(3). Let o be (i - 8)/((1 - -1) + -1). Round o to the nearest 10. 280 Suppose 0 = -3*l, 3*n - 3*l = 5*n - 7870000. Round n to the nearest 100000. 3900000 Let q = 18 - 15. Let n be -3 + q + -3 - -1. Let l be n/(-7) - 3362/7. Round l to the nearest one hundred. -500 Let k = -5.72 - -5.7967. Round k to three decimal places. 0.077 Let k = -0.1769 - -0.2. Let b = k + -0.031. What is b rounded to 3 decimal places? -0.008 Let x = -138 + 52. Let h = x + 93.4. Let d = 7.562 - h. Round d to 2 decimal places. 0.16 Suppose 13*v = 6*v - 2716000. What is v rounded to the nearest one hundred thousand? -400000 Let d(t) = -128*t + 80. Let g be d(9). Round g to the nearest one hundred. -1100 Let m = 24 - 16. Let w be -298*((-628)/m + 3). Let b be (1 + w)*(-112)/(-42). Round b to the nearest ten thousand. 60000 Let s = 1.274 + 3.87. What is s rounded to 1 dp? 5.1 Suppose -3*y + 5*y = -4, -84470 = -2*b + 5*y. Round b to the nearest one thousand. 42000 Let t = 94.2 + -27.2. Let p = -66.76516565 - 0.23472035. Let q = p + t. Round q to five decimal places. 0.00011 Let g = -23751540 + 11434399. Let z = 12317208.99887 + g. Let i = z - 68. Round i to 4 dps. -0.0011 Let z(j) = -5*j**2 + 3 - 2*j**3 - 5*j - 2*j**2 + j**3. Let i be z(-6). Let l be (-6900008 - i) + 3 - -2. Round l to the nearest 1000000. -7000000 Let c = 42 + -74. Let r = 32.00000264 + c. Round r to seven decimal places. 0.0000026 Let x = 7415.000003549 + -7415. What is x rounded to six decimal places? 0.000004 Let t = 128 + -128.53. Let q = 0.530039 + t. Round q to 5 decimal places. 0.00004 Let q = 0.04755 - -7.78345. Let k = q + -7.8. Round k to 2 dps. 0.03 Let l = -66.0649071688 - -0.0649101288. Let q = l - -66. What is q rounded to seven decimal places? 0.000003 Let z = -0.17 - -0.06. Let w = 27162.109998 + -27162. Let x = z + w. Round x to 6 decimal places. -0.000002 Let m = -4.18 - -4.183935. Round m to 3 dps. 0.004 Let b(g) = -g - 6. Let w be b(-8). Let f(v) = w*v**2 - 3 - v - v**3 + 0*v**2 + 0*v**2 + 2*v**3. Let m be f(-5). Round m to the nearest 10. -70 Suppose -2*o - o - 16641 = 0. Let f = -547 - o. What is f rounded to the nearest 10000? 10000 Let d = -36.17764 + 36.13354209. Let a = 0.0441 + d. Round a to 6 dps. 0.000002 Let j = 139.9795 + -140. Let x = j - 0.0237. Round x to 2 decimal places. -0.04 Let l = -1071 + 938.25. Round l to the nearest integer. -133 Suppose d + d = 4*c + 20, -5*d - 2*c + 26 = 0. Suppose 5 = -3*g + 4*g. Suppose d = g*r + 31. What is r rounded to the nearest integer? -5 Suppose -108*x = -105*x. Let h(o) = o**2 + 2*o - 1. Let f be h(-3). Suppose x = 4*z - f*d - 4038, 5*z + 5*d - 1612 = 3443. What is z rounded to the nearest 100? 1000 Let j = -0.947978 - -0.949. What is j rounded to five dps? 0.00102 Let t(z) = 19999*z**3 + 2*z**2 + 11*z - 24. Let m be t(3). What is m rounded to the nearest one hundred thousand? 500000 Let t = 254593648.49999545 + -254593662. Let f = t - -13.5. Round f to 6 decimal places. -0.000005 Let a = -3.11 + 3.99. What is a rounded to zero dps? 1 Let w(x) = 16310*x + 16. Let n be w(-11). Let y = -106126 - n. Suppose -3*j = y + 76732. Round j to the nearest 10000. -50000 Let m be ((-17928)/7)/((-2)/28). Let t = 18 - 15. Suppose 4644 + m = -t*s. What is s
{ "pile_set_name": "DM Mathematics" }
- 3*o + s = 0. What is the greatest common factor of 36 and o? 18 Let t be 6/(-5)*(3 + -8). Suppose -5*s = 4*k - 36, -3*s - 28 = -4*k - t*s. Suppose h + 36 = k*h. What is the highest common factor of 24 and h? 12 Let m = 1051 + -1041. Calculate the greatest common divisor of 1970 and m. 10 Let w = -212 - -236. What is the greatest common factor of w and 66? 6 Suppose -3*d - 2*i - i = -150, -190 = -4*d + i. Let z(x) = 2*x**2 + x + 2. Let m be z(2). What is the highest common divisor of m and d? 12 Let s be 2/11 - (-3 + 20910/(-66)). Calculate the highest common divisor of 20 and s. 20 Let r(j) = j**3 - 2*j**2 + 11*j - 21. Let t be r(4). What is the highest common divisor of 5 and t? 5 Let r(p) = p**2 + 5*p + 6. Let m be r(-4). Suppose -40 = -4*s - m*k, -3*s = -2*k - 3*k - 30. What is the greatest common factor of s and 40? 10 Let o = 465 - 463. Let q = 0 - -18. Calculate the highest common factor of q and o. 2 Let d(l) = -l**3 + 33*l**2 - 31*l + 31. Let s be d(32). Calculate the highest common factor of 1029 and s. 21 Suppose 3*o - 1504 = 554. What is the highest common factor of 14 and o? 14 Suppose -19344 = -86*i + 34*i. What is the highest common divisor of 837 and i? 93 Let z = -42 + 47. Suppose 5*q + 3*u = 32 + 52, 5*u - 80 = -z*q. What is the greatest common factor of 6 and q? 6 Let v(o) = 9*o**2 - 6*o + 14. Let m be v(3). What is the greatest common divisor of m and 33? 11 Suppose 2*t + 258 = 2*p, 4*t = -6*p + p + 645. Let q = -80 + p. Let g = -31 + q. What is the greatest common divisor of 12 and g? 6 Let z be 876/(-72) + (-3)/(-18). Let c(q) = 18 + q**2 + 3*q + 0*q**2 + 8*q. Let g be c(z). What is the highest common divisor of 20 and g? 10 Suppose 14 = 3*y - o, y + o - 14 = -3*y. Let w be 1005/9 + y/12. Calculate the highest common divisor of 14 and w. 14 Let t be (-42)/4*2312/(-238). What is the highest common divisor of t and 18? 6 Suppose -y - 3*p + 38 = 2*p, -4*p - 56 = -4*y. Let u be 396/891 + (-5)/9 + 488/18. Calculate the highest common factor of y and u. 9 Let h be (-6 - -5)/((-1)/(-85)). Let o = 293 + h. What is the highest common divisor of 26 and o? 26 Suppose -796 = -70*n - 166. Calculate the highest common factor of n and 90. 9 Let v = -84 + 45. Let u = -23 - v. Let l be ((-5)/(-2))/(-6 + (-424)/(-64)). What is the greatest common factor of u and l? 4 Let v(r) = 16*r - 1020. Let q be v(66). Suppose f - 2*f - 6 = 0. Let x = 18 + f. What is the highest common factor of q and x? 12 Let l be (24/15)/((-3)/15). Let g be (-6)/l*(26 - (1 + 1)). Calculate the highest common divisor of 90 and g. 18 Let i = -299 + 308. Let f be (-3)/(-12) + (-438)/(-8). Suppose -5*c - 5*j = -185, -3*c - 5*j + 58 = -f. Calculate the highest common factor of i and c. 9 Let p(f) = 48*f + 11. Let w be p(-3). Let x = w + 228. What is the highest common divisor of x and 19? 19 Suppose -2*w + 34 = -g - 24, 5*w - 2*g - 145 = 0. Let z = -26 + w. What is the highest common divisor of 15 and z? 3 Suppose j = 3 + 6. Let u be (0 + 6)*(-108)/(-8). What is the highest common divisor of j and u? 9 Suppose 10 + 15 = -5*g. Let i be 1/g - ((-213)/15 - -3). Calculate the highest common factor of 11 and i. 11 Suppose -41 = -c - 1. Suppose -c = 4*i - 0*i. Let p be i/(-45) + (-43)/(-9). What is the greatest common factor of 5 and p? 5 Suppose -1 = -o, -2*z + 3*o - 76 = 75. Let g = z - -76. Suppose -1 = -4*b + 3. What is the greatest common factor of g and b? 1 Let v = 69 - 7. Suppose 4*n + v = 2*k, -4*k - k + 143 = 2*n. Let u = k + -22. What is the highest common factor of 49 and u? 7 Let i be 57/9*(-13 - -229). What is the greatest common factor of 12 and i? 12 Let h = -25 + 39. Let c(y) = 3*y + 65. Let q be c(-10). Calculate the greatest common divisor of q and h. 7 Let d = 25 + -28. Let b be 2 + (-1)/1 - d. Suppose -3*t = -b*v - 0*t + 49, -4*v + 2*t = -50. Calculate the highest common factor of v and 91. 13 Let i(u) = u**3 - 15*u**2 + 15*u - 9. Let c be i(14). Calculate the greatest common factor of c and 80. 5 Suppose 8*s = 7*s - 16. Let g = 10 - 7. Let k be s/(-4) - -2 - g. Calculate the greatest common factor of 2 and k. 1 Let h be ((-20)/(-8))/((-1)/(-2)). Suppose 92 + 14 = 2*c. Suppose -c = -h*k + 307. Calculate the highest common factor of k and 24. 24 Let w(v) = -4*v + 2. Let s be w(-2). Let l(f) = 11 - 7*f**2 - 14*f**2 + 32*f**2 - s*f**2. Let i be l(8). What is the greatest common divisor of 30 and i? 15 Let a be (-2)/(-14) + 6/(-42). Suppose u + 2*u + 6 = a. Let n be (-1 - u) + -3 + 4. Calculate the greatest common factor of n and 1. 1 Suppose -425 = -5*n + 2*f + 96, 3*f + 519 = 5*n. Calculate the highest common factor of n and 45. 15 Let q(l) = l**3 + 10*l**2 + 4. Let j be q(-10). Suppose -j = -s - 0*s. What is the highest common factor of 32 and s? 4 Let t = -6 + 6. Suppose t = 3*o + 3*f + f - 32, f = 2. Let i = 10 - 8. What is the highest common divisor of i and o? 2 Let o = 42 - -62. Let k(p) = 222*p - 12354. Let d be k(56). Calculate the greatest common factor of o and d. 26 Suppose -v + 4*m - 36 = 0, 16 = 3*m + m. Let x = v - -34. Let j = 176 - 120. What is the greatest common factor of x and j? 14 Let n(s) = 21*s**2 - 4*s - 2. Let m be n(2). Let d = m + -50. Calculate the greatest common divisor of d and 24. 24 Suppose 4 = c, -3*g + 8*g = -c + 244. What is the greatest common divisor of 1464 and g? 24 Let a(q) = q**2 + 10*q - 1. Let z be a(5). Calculate the highest common factor of z and 518. 74 Suppose 2*n - 5*f = 95, 4*n + 68 - 203 = -f. Let u = n + -21. Calculate the highest common factor of 70 and u. 14 Let o be (71 - 0) + 8/20*5. What is the highest common divisor of o and 657? 73 Suppose t - 3*z = -5, 5*t + 2*z + 0*z - 9 = 0. Calculate the greatest common divisor of t and 26. 1 Suppose 2*p = 4*p - 5*m - 116, 2*m = -3*p + 174. Calculate the greatest common factor of p and 406. 58 Suppose -128 = 3*o - 11*o. Calculate the highest common factor of 80 and o. 16 Let m(s) = -s**3 + 8*s**2 - 14*s + 15. Let a be m(5). Let w = -46 - -96. What is the highest common factor of w and a? 10 Let h = 12 + -8. Suppose 3*m - 9 = -3*c, 11*c - 10 = 7*c - 2*m. Let d be (-570)/h*c/(-3). Calculate the highest common divisor of 38 and d. 19 Suppose 0*o = -4*i + 4*o + 40, 0 = -5*i + 4*o + 54. Let k be ((-2)/(-3) + -1)*-42. What is the greatest common factor of k and i? 14 Suppose 4*b + 4*h - 164 = 0, 2*h - 60 - 59 = -3*b. Suppose 0 = -2*p + b - 5. What is the highest common factor of p and 192? 16 Let o(y) = 9*y + 164. Let m be o(-18). Calculate the highest common divisor of 118 and m. 2 Suppose -2*c + 160 = 2*c. What is the greatest common factor of c and 512? 8 Let f be (-112)/20*(-15)/(-6). Let r(h) = 9*h - 7. Let x be r(5). Let v = f + x. Calculate the greatest common divisor of v and 6. 6 Let t = 26 - -10. Let n = -151 - -155. Calculate the greatest common factor of t and n. 4 Let q = 16 - -35. Let x = q + -13. Calculate the highest common factor of x and 342. 38 Let f = 537 - 524. Calculate the greatest common divisor of f and 221. 13 Let t(r) be the second derivative of 6*r - 2*r**2 - r**2 - 5*r**2 - r**3 + 2*r**3. Let g be t(11). Calculate the highest common divisor of 20 and g. 10 Let j = -9 + 6. Let x be j*14*(-7)/14. What is the highest common divisor of 28 and x? 7 Let l(k) = k**3 - 24*k**2 + 38*k + 168. Let s be l(22). What is the greatest common factor of s and 423? 9 Suppose -4*d - 4*u + 777 + 3687 = 0, -4476 = -4*d + 2*u. Calculate the highest common divisor of d and 26. 26 Let r be 118 - (9 + 2/(-1)). Calculate the greatest common factor of 370 and r. 37 Let b(s) be the second derivative of -s**5/20 - 5*s**4/12 - s**3/6 + 7*s**2/2 + 17*s. Let c be b(-5). Calculate the highest common divisor of 9 and c. 3 Let n(b) = b + 8. Let o be n(18). Let x be (-3507)/(-15) - (-8 + (-78)/(-10)). What is the highest common divisor of x and o? 26 Suppose 6*o - 49 = o + 4*v, -51 = -3*o - 3*v. Let p = 69 + -43. Calculate the greatest common factor of p and o. 13 Suppose 20 = -17*u + 22*u. Suppose 5*y + u*a = 132, -3*y - 3*a - 45 + 123 = 0. Calculate the greatest common factor of 4 and y. 4 Let r be (-5 - (-7865)/35) + 2/7. Calculate the greatest common divisor of r and 20. 20 Let b(x) = -x**3 + 16*x**2 - 13*x + 10. Suppose 30 = 8*q - 6*q. Let c be b(q). Let v be 2/(((-
{ "pile_set_name": "DM Mathematics" }
ative of -5*t**2 - 5*t + t + 9*t - 7*t**2 wrt t. -24 Let t = -19 + 19. Let r(d) be the first derivative of t*d**3 - 1/2*d**4 - 2*d + 0*d**2 + 2. What is the derivative of r(v) wrt v? -6*v**2 Find the second derivative of 0*i**2 + 2*i - 2*i**2 + 8*i**2 - i wrt i. 12 Let z = 12 - 8. Let r = -2 + z. Find the second derivative of -2*g**2 + 3*g**2 - 4*g**2 + 2*g**r - g wrt g. -2 Let a(l) be the second derivative of 3*l**8/4 - 7*l**4/3 - 41*l. Find the third derivative of a(u) wrt u. 5040*u**3 Find the second derivative of 8*p**2 - 10*p - 6*p - 5*p wrt p. 16 Let h be (-32)/(-5) + 6/(-15). What is the third derivative of -f**2 + 2*f**h - 4 + 4 wrt f? 240*f**3 Suppose 0 = -h - 1 + 3. What is the third derivative of -2*u**2 - 2*u**h + 5*u**2 + 3*u**6 wrt u? 360*u**3 Let p(z) = -14*z**2 + 9. Let g(f) = -55*f**2 + 36. Let l(m) = -2*g(m) + 9*p(m). What is the derivative of l(d) wrt d? -32*d Let m = 10 + -5. What is the second derivative of -m*x**4 + 6*x - 4*x - 2*x + 4*x wrt x? -60*x**2 Let j(u) be the first derivative of -2*u**4/3 + 5*u**2/2 + 5*u - 8. Let q(w) be the first derivative of j(w). What is the derivative of q(m) wrt m? -16*m Let r(l) be the third derivative of -l**6/30 + 7*l**3/6 + 9*l**2. Differentiate r(h) with respect to h. -12*h**2 Let z(k) be the third derivative of -11*k**6/30 + k**3/2 - 11*k**2. Differentiate z(p) wrt p. -132*p**2 Let f be (2/1)/((-4)/(-10)). Find the second derivative of t**f + t + 3*t + 0*t wrt t. 20*t**3 Let t(o) be the third derivative of o**6/8 - 11*o**5/30 + 3*o**2. What is the third derivative of t(w) wrt w? 90 Let n(x) = 324*x**3 + 351*x + 99. Let m(k) = -13*k**3 - 14*k - 4. Let c(z) = -99*m(z) - 4*n(z). Find the second derivative of c(r) wrt r. -54*r Let r(q) be the second derivative of -13*q**7/21 + 4*q**4/3 + q**2 + q - 4. What is the third derivative of r(k) wrt k? -1560*k**2 Let i = 7 + -6. Let w(q) = q**4 - 6*q**3 - 6*q**2 + 5. Let f(l) = -l**4 - l**3 - l**2. Let t(p) = i*w(p) - 6*f(p). What is the first derivative of t(g) wrt g? 28*g**3 Let q = 0 - -4. What is the third derivative of -3*x**4 - x**4 - 4*x**4 + x**q - 6*x**2 wrt x? -168*x Let b be (6 - 2) + -1 + 1. Suppose 5*a = -3*t + 11, -b*t - a + 11 = t. What is the second derivative of r**2 + 2*r**2 - t*r**2 + r wrt r? 2 Let s be (-40)/50 - (0 + -1). Let y(q) be the first derivative of 2 - s*q**5 + 0*q**4 + 0*q**3 - 1/2*q**2 + 0*q. What is the second derivative of y(f) wrt f? -12*f**2 Let g(w) be the second derivative of w**5/4 - 7*w**2 + 15*w. Differentiate g(n) with respect to n. 15*n**2 What is the third derivative of k**6 - k**2 - 7*k**6 - 2*k**6 wrt k? -960*k**3 Let a(d) be the third derivative of 4*d**2 + 0*d**3 + 0*d - 1/30*d**7 + 0*d**6 - 1/10*d**5 + 0*d**4 + 0. What is the third derivative of a(n) wrt n? -168*n Suppose o = -2*m - o + 12, -o = -2. What is the second derivative of 25*r**4 - m*r - 20*r**4 + 9*r wrt r? 60*r**2 What is the second derivative of -9*t**5 + 5*t + 6*t - 9*t wrt t? -180*t**3 Suppose 8*z - 6 = 6*z. What is the second derivative of 3*v - 5*v**2 + 5*v**2 + z*v**2 wrt v? 6 Suppose 2*a - 13 + 1 = 0. Find the third derivative of -3*n**6 - n**2 - 3*n**a + n**6 - 2*n**2 wrt n. -600*n**3 Suppose 0 = 3*o + 2*o - 40. Suppose -o*b - 3*w = -3*b - 30, 0 = -5*w + 25. What is the third derivative of 3*y**2 - 6 + 6 - 3*y**b wrt y? -18 Let d be (1 + 18/2)/(-1). Let i be (-9)/15 + (-66)/d. What is the third derivative of 2*f**6 - f**2 + 0*f**i + 0*f**6 wrt f? 240*f**3 Find the third derivative of -36*f**4 + 10*f**2 - 21*f**5 + 36*f**4 wrt f. -1260*f**2 Let k(d) = -d. Let r(i) be the third derivative of i**5/15 - i**4/12 - i**3/2 - 2*i**2. Let u(l) = -2*k(l) + r(l). Differentiate u(j) with respect to j. 8*j Let h(t) be the second derivative of -t**8/28 + t**4/12 + 4*t. Find the third derivative of h(a) wrt a. -240*a**3 Find the third derivative of 16*t**2 + 17*t**5 + 27 - 27 - 6*t**2 wrt t. 1020*t**2 Let p = -36 + 54. Let i be (-2)/8 + p/8. What is the third derivative of 0*g**5 - 3*g**5 + i*g**5 + g**2 wrt g? -60*g**2 Let m(p) be the second derivative of -4*p**5/5 - p**4/12 + 2*p. Find the third derivative of m(j) wrt j. -96 Let r(d) = 7*d**3 - 5*d**2 + 11*d. Let y(k) = 7*k**3 - 4*k**2 + 10*k. Let u(c) = 4*r(c) - 5*y(c). Find the second derivative of u(g) wrt g. -42*g Let h(f) be the second derivative of 1/5*f**5 + 0*f**4 - 9/2*f**2 + 0 + 0*f**3 - 7*f. What is the first derivative of h(x) wrt x? 12*x**2 Suppose -k + 4*v = 18, -v - 15 = -4*v. Let b = k + -2. What is the second derivative of b*n**3 + 0*n**3 - n**4 + n wrt n? -12*n**2 Let d(q) = -4*q - 2. Let g be d(-3). Suppose g = 4*c - 2. Differentiate -o + c - o + o with respect to o. -1 Suppose -3*i = 5*f - 7, 3*i = 2*f + 4*i - 3. What is the third derivative of 0*h**2 - 6*h**f + 0 - 4*h**6 + 0 wrt h? -480*h**3 Let q be 1*(0 + 4/12). Let w(g) be the first derivative of g**2 + 0*g - 2 - q*g**3. Find the second derivative of w(z) wrt z. -2 Let x(z) be the third derivative of z**8/16 - 5*z**4/8 + z**2. Find the second derivative of x(q) wrt q. 420*q**3 Let y(i) be the first derivative of -i**6/30 - i**3/6 + 7*i**2/2 + 8. Let b(c) be the second derivative of y(c). What is the derivative of b(p) wrt p? -12*p**2 Let y(z) be the first derivative of 3 + 0*z**2 + 0*z**5 + 4/3*z**3 + 0*z**4 - 2/3*z**6 + 0*z. What is the third derivative of y(q) wrt q? -240*q**2 Let h(a) = 4*a**4 + 21*a**2 + 3*a + 3. Let s(r) = -5*r**4 - 20*r**2 - 4*r - 4. Let c(m) = 4*h(m) + 3*s(m). What is the third derivative of c(f) wrt f? 24*f Let y(h) be the second derivative of 0 - h + 0*h**4 + 1/2*h**2 + 1/10*h**5 + 0*h**3. Differentiate y(g) wrt g. 6*g**2 Let p be (-2)/8 - (-51)/12. What is the third derivative of 6*m**3 - 2*m**2 - 5*m**3 - 2*m**3 + p*m**2 wrt m? -6 Let k(n) be the first derivative of -n**4/3 + 2*n**2 + 3*n - 3. Let t(b) be the first derivative of k(b). Differentiate t(l) wrt l. -8*l Let m(s) be the first derivative of -2*s + 0*s**3 - 7 + 1/4*s**4 + 0*s**2. Differentiate m(j) wrt j. 3*j**2 What is the derivative of 10*r**3 + 37 - 21 - 21 wrt r? 30*r**2 Let g(h) = 3*h**3 + h. Let x be g(1). Suppose x*c = 7*c. Find the third derivative of 1 - 2*j**3 + c*j**2 - 1 - 4*j**2 wrt j. -12 Suppose 4*h + 27 = 5*u, u + 3*h + 3 = -3. Differentiate -7 - 3*m + u + 0*m + 3 wrt m. -3 Let h(y) = 2*y**2 + 2*y - 1. Let r be h(-2). Let j(d) be the third derivative of 1/30*d**5 + 0*d**4 + 0 - d**2 + 0*d + 1/3*d**r. Differentiate j(c) wrt c. 4*c Let r(c) be the second derivative of c**6/6 - c**4/4 + 7*c. What is the third derivative of r(y) wrt y? 120*y Suppose -t = -2, 5*t - 13 = -h + t. Let n(g) = 2*g**2. Let v be n(1). What is the second derivative of -3*p - v*p**4 - p**4 + h*p**4 wrt p? 24*p**2 Let c(v) = -2*v**2 + 16*v + 4. Let l(q) = -3*q**2 + 16*q + 3. Let z(h) = -3*c(h) + 4*l(h). Find the second derivative of z(i) wrt i. -12 Let d(q) be the second derivative of -1/20*q**5 - 1/6*q**3 + 0*q**2 + 0*q**4 + 4*q + 0. What is the second derivative of d(i) wrt i? -6*i Let z(a) = -11*a**4 - 34*a**2. Let b(j) = -j**4 - j**2. Let g(v) = -5*b(v) - z(v). Find the third derivative of g(o) wrt o. 384*o Let l(v) = -v**3 - v**2. Let k(j) = -4*j**3 + 16*j**2. Let w(y) = k(y) + 4*l(y). What is the third derivative of w(o) wrt o? -48 Let h(u) be the first derivative of 5*u**6/3 - 5*u**2/2 + 1. Find the second derivative of h(l) wrt l. 200*l**3 Let a(z) = z**4 + z**2. Let i(y) = 4*y**5 + 5*y**4 + 5*y**2 - 39*y. Let w(q) = 5*a(q) - i(q). Find the second derivative of w(j) wrt j. -80*j**3 Let c(w) be the second derivative of 0*w**5 + 0 + 1/10*w**6 - 1/6*w**4 + w + 0*w**2 + 0*w**3. What is the third derivative of c(y) wrt y? 72*y Let i(b) = b + 14. Let d be i(-11). Suppose -5*h + 5 = -5. Find the third derivative of d*v**4 - v**2 + 5*v**2 - 6*v**h wrt v. 72*v Let t(h) = h + 4. Let z be t(-2). Find the second derivative of 0*n**z + 0*n**2 + n + 0*n - 3*n**4 wrt n. -36*n**2 Let u = 19 + -16. Let z(y) be the third derivative of 0*y + 0 + 1/60*y**6 - 1/12*y**4 + 0*y**5 + 0*y**u - 2*y**2. What is the second derivative of z(k) wrt k? 12*k Let u(l) = 7*l**5 - 3*l**3 + l**2 + 3*l. Let z(c) = -c**3 + c. Let i(a) = -u(a) + 3*z(a). Find the third derivative of i(y) wrt y. -420*y**2 Let u(q) = 9*q**3 + 6*q**2 + 10*q - 6. Let m(c) = -8*c**3 - 5*c**2 -
{ "pile_set_name": "DM Mathematics" }
of c? 5 What is the hundreds digit of ((-574)/(-84))/(8/2736)? 3 Let a be 8/14 + (-1076)/(-28). Let u = 39 - a. What is the tens digit of 12/3 + u + 17? 2 Suppose d + m - 1152 = -4*m, 0 = 4*d - 3*m - 4493. What is the hundreds digit of d? 1 Suppose 43*z - 45 = 48*z. Let s(o) = 3*o**2 + 3*o + 2. What is the units digit of s(z)? 8 Let j = -1308 - -1369. What is the units digit of j? 1 Let t(z) = 5*z + 8. Let f be t(6). Suppose 3*j = 6*j + a + 49, 3*j + 2*a = -47. Let x = f + j. What is the tens digit of x? 2 Suppose -15*q = 8*q - 72266. What is the hundreds digit of q? 1 What is the tens digit of ((-31)/(-62))/((-2006)/1004 - -2)? 5 Suppose -5 = 5*i - 20. Suppose 903 - 183 = i*a. What is the units digit of a? 0 Let a(g) = g + 4. Suppose 2*u = -2, 6*u + 3 = 5*r + 3*u. Let j be a(r). Suppose 210 + 6 = j*q. What is the tens digit of q? 5 Let i(x) = -x**3 - 2*x**2 + 2*x + 1. Let g be i(-3). Suppose 0 = -3*l - g*m + 265, 2*m = -l + 4 + 87. What is the tens digit of l? 8 Let j(o) = -9*o**2 - 17*o - 18. Let k(i) = 5*i**2 + 8*i + 9. Let h(v) = 4*j(v) + 7*k(v). What is the tens digit of h(-6)? 2 Let f(w) = -w**2 + 9*w - 14. Let s be f(7). Let b be (0 - 2) + 8 + s. What is the tens digit of ((-69)/b)/(3/(-6))? 2 Suppose 4060 = 80*l - 75*l. What is the hundreds digit of l? 8 What is the units digit of 273 + -8 + (5 - -2)? 2 Let o(w) = -6*w - 9. Let f be o(-2). Suppose -6*j + 33 = 4*p - f*j, p = -3*j - 3. Suppose -x = 2*x - p. What is the units digit of x? 4 Let f = 37 + -53. What is the hundreds digit of 4/f - 717/(-4)? 1 Let z(a) = -a - 18. Let t be z(-22). Suppose -66 = -t*l + 46. What is the tens digit of l? 2 Suppose 2*g + 2*g + 3*q = 3156, g = -2*q + 789. What is the hundreds digit of g? 7 Let s(f) = 17*f**2 + 16*f + 7. What is the hundreds digit of s(-9)? 2 Let i(r) = 2*r**2 + 5*r - 20. Let l be i(6). Let g = 176 - l. What is the units digit of g? 4 Let y = -16 - -12. What is the units digit of y/(-14) + 515/35? 5 Let f be 0 + 4 + (-2)/2. Suppose f = -k + 5. Suppose 0 = -k*o - 15 + 63. What is the units digit of o? 4 Let q(s) = 7*s**2 - 6*s - 13. What is the hundreds digit of q(-6)? 2 Let o(b) = -4*b - b**3 - 6 + 5*b - 9*b**2 - 3*b - 5. What is the units digit of o(-9)? 7 Let x be 3/(-3 - (-9)/2). Let o = 19 + x. What is the units digit of o? 1 Suppose 4*t + 92 = 5*b + 639, 4*b + 145 = t. Suppose 5*x = y - 69, x + 9 = y - 4. What is the units digit of 8/(-2)*t/x? 8 Let q = -6 - -8. Suppose 0 = -0*g - q*g + 22. What is the tens digit of g? 1 Let b = -1066 - -1507. What is the hundreds digit of b? 4 Suppose 4*s - 108 - 52 = 0. Suppose s*l = 35*l + 240. What is the tens digit of l? 4 Let d(a) = -2*a**3 - 2*a**2 + 13*a - 5*a + a**3 + 0*a**2. What is the units digit of d(-7)? 9 Suppose 3*y + 3*j = 126, -y + j + 0*j = -48. Suppose -5*z - y = -2*w, -2*w + 35 = -w - 5*z. Let d = 29 - w. What is the tens digit of d? 1 Let l(x) = 2*x**2 - 69*x - 62. What is the tens digit of l(41)? 7 Let t(q) = 2*q - 5. Let j be t(5). Let o = j - -9. What is the units digit of o? 4 Let b(o) be the second derivative of o**4/12 + 4*o**3/3 + 6*o**2 + o. Suppose -4*f - 46 = -10. What is the tens digit of b(f)? 2 Suppose -2*o - 17 = m, 5*o + 32 = -6*m + 7*m. Let g(u) = u**2 - 43. What is the units digit of g(o)? 6 Let l = -105 + 122. Suppose 720 = -11*b + l*b. What is the units digit of b? 0 Suppose -8*a + 43 = 11. Suppose 5*k + a*q - 178 = 3*q, q + 102 = 3*k. What is the tens digit of k? 3 Let u(v) = 39*v**3 - 2*v**2 - v - 2. Let i(d) = d**3 - d**2 - d. Let j(b) = -3*i(b) + u(b). What is the units digit of j(1)? 7 Let v be (-22)/33 - 34/(-6). Suppose -4*m - 5*j = -188, 4*j + 46 = m + v*j. What is the units digit of m? 2 Let h = -31 + 34. Let f(v) = 15*v**3 - v + 2. Let m be f(2). Suppose -m = -h*l + 18. What is the tens digit of l? 4 Let f(l) be the first derivative of -l**4/12 + 11*l**3/6 - l**2/2 - 2*l - 2. Let o(q) be the first derivative of f(q). What is the units digit of o(6)? 9 Let h(x) = x**2 + 5*x + 5. Let n be h(0). Suppose -n*v + 2*m = -135, -2*m = -2*v + 2*m + 38. What is the units digit of v? 9 Let q be (-3)/(-15) + ((-432)/10 - 0). Let b = 131 + q. What is the tens digit of b? 8 Suppose 5*z + 5*k + 5 = 0, -2*z - 2*k - k = 0. What is the units digit of 26 - z - (1 + -4)? 2 Let k(d) be the first derivative of d**3/3 + 2*d**2 - 5. Let a be k(-4). Suppose a - 14 = -2*w. What is the units digit of w? 7 Suppose -4*r = -24*o + 23*o - 5545, -2*r = -4*o - 2762. What is the tens digit of r? 8 Let z(b) = -71*b - 4. What is the hundreds digit of z(-28)? 9 Let x be (-59)/1*(5 - 8). Suppose 3*m - 5*o = 169, 3*m - 4*o - x = -o. Suppose 0*d = 3*d - m. What is the tens digit of d? 2 Suppose a = -l + 91, 0 = -0*a - 6*a + 3*l + 537. What is the units digit of a? 0 Let q(x) = x**2 - 7*x + 5. Let h(u) = 2*u**2 + u. Let z be h(1). Let r be z*1 + (-15)/(-3). What is the tens digit of q(r)? 1 Suppose 3*x = -4*k + 19, -2*k = -4*k + 2*x + 6. Suppose 0 = -k*b - 76 - 128. Let y = -12 - b. What is the tens digit of y? 3 Let v be 3/((4/(-4))/1). Let g(z) = z**3 - 8*z**2 + 6*z + 3. Let x be g(5). What is the units digit of (4 + v)/((-2)/x)? 1 Suppose p - 65 = g, 5*g + 302 = p - 15. Let k be ((-4)/3)/(1/g). Let v = k + -54. What is the units digit of v? 0 Suppose -x = 3*x + 16, 5*x = 5*w - 175. What is the units digit of w? 1 Let t(h) = 6*h - 9. Let n be t(2). Suppose -109 - 107 = -n*u. What is the tens digit of u? 7 Let c(k) = -k**2 - 67*k + 35. What is the units digit of c(-22)? 5 Let g = -73 + 111. Suppose r = 2*r - 5*c - g, r + c - 44 = 0. What is the tens digit of r? 4 Suppose 0 = 2*b + 4*r - 514, 5*b + 120 - 1370 = -3*r. Suppose 0 = -k + 5*p + b, -721 = -2*k - k - 5*p. What is the tens digit of k? 4 Suppose 0*f = 3*f - 9. Suppose -5*b + 234 = f*k, -3*b + 4*k = -5*b + 88. What is the units digit of b? 8 Suppose -4*r - 345 = -9*r. Suppose 3*m = 2*y + 203, -2*m + y + r = -m. What is the tens digit of m? 6 Suppose -2*a = 3*m - 261, -28*m + 24*m + 348 = -a. What is the units digit of m? 7 Let w = 8528 + -4371. What is the units digit of w? 7 Let q be (2 - 4)/((-2)/8). Suppose -4*x = -q*x. Suppose -4*t = 3*s - 40, x = -0*s + 2*s + t - 30. What is the units digit of s? 6 Let b be 50/(-6) + 2/(-3). Let u(n) = -n**3 - 9*n**2 + 2. Let v be u(b). Let l(p) = p**3 - p**2 - 2. What is the units digit of l(v)? 2 Suppose 4*k = -4*s + 2068, 945 = 4*s + 5*k - 1125. What is the tens digit of s? 1 Let r(z) = -z**3 + 2*z**2 + 5*z - 6. Let d be r(3). What is the units digit of 6 + 19 - (d - -1)? 4 Let y be -1 - -11 - (-8 + 11). Suppose -y*a = a. Suppose -2*f + 28 = 5*p, 3*p = f - a*f - 25. What is the tens digit of f? 1 Let w(d) = 86*d - 367. What is the hundreds digit of w(25)? 7 Suppose 0 = 3*n - 3*m + 4*m - 5, 2*n + 2*m - 6 = 0. Let d be -1*n*(0 - 7). Suppose -d*a = -5*a - 52. What is the tens digit of a? 2 Let a(j) be the second derivative of 31*j**4/12 + j**3/6 - j**2/2 + j. Let o = 132 + -131. What is the tens digit of a(o)? 3 Suppose s = -4*z - 17, -2*z - z = s + 17. Let o = -1 - -1. What is the tens digit of (o - s) + (-8)/4? 1 Let b be (-8)/(-16) - (-1)/(-2). Let y(o) = -o**3 - 6*o**2 - 6*o - 14. Let z be y(-6). Suppose b*j = j - z. What is the units digit of j? 2 Let t = 926 + -530. Suppose -5*m + t = -m. What is the tens digit of m? 9 Let g(f) = 256*f - 12. What is the tens digit of g(2)? 0 Let h(j) = j + 14. Let b be h(-11). Suppose b*i - t + 0*t = 220, -4*i = 3*t - 276. What is the tens digit of i? 7 Suppose -2*y - 27*v + 7373 = -28*v, 5*v = 25. What is the hundreds digit of y? 6 Let c(v) = -v**3 + 10*v**2 - 2*v + 15. Let l be c(10). Let w(r) be the second derivative of r**4/12 - 2*r**3/3 + 5*r. What is the tens digit of w(l)? 4 Suppose -8*k + 4901 = 1797. What is the tens digit of k? 8 Suppose 1400 = 7*u - 2807. What is the hundreds digit of u? 6 Suppose -3*f + 1570 = 2*a, -4*a - a - f = -3925. What is the units digit of a? 5 Let o(w) = -2*w**2 - 14*w + 6. Let h be o(-7). Suppose -h*s + 2*s = j - 203, 5*s = -3*j + 259. What is the units digit of s? 0 Suppose -6*q + 4*s = -4*q - 1414, -2*q - 5*s + 1405 = 0. What is the tens digit of q? 0 Suppose 5*z - 2602 = -3*x + 288, 0 = 3*z - 5*x - 1734. What is the hundreds digit of z? 5 Suppose 3*m = 48 + 15. What is the tens digit of (m/(-7))/((-3)/53)? 5
{ "pile_set_name": "DM Mathematics" }
8/14)/((-12)/(-42)). Let f be (x - 0 - 1)*-5. Let q(i) = i**2 - 6. Is q(f) a prime number? True Let d(m) = -4*m + 12. Let i be d(8). Let j be (-10564)/i - 2/10. Suppose -j = -4*r - 148. Is r a composite number? True Let f = -4 + 9. Suppose 18 = f*g + 8. Suppose 0 = 3*i + m - 6, m + 3 = g*i + 2*m. Is i a composite number? False Suppose 0 = 3*i - 2*i - 11. Suppose x + i = 35. Suppose 2*t - x = 14. Is t composite? False Let z(u) = 54*u - 1. Let y be z(-5). Let d = -48 - y. Is d a prime number? True Let f be 744/84 - (-1)/7. Is (-12)/8*(-282)/f prime? True Suppose 0 = -0*h + 3*h + 2943. Is h/(-11) - (-6)/(-33) a prime number? True Let p = 410 + -227. Is p prime? False Let z = 5 - 2. Suppose -5*y = z*c - 0*y - 256, 2*c + 3*y = 169. Is c prime? False Let o(d) = 7*d**2 + d. Let p be o(1). Suppose 5*z + g = 16, g + p = -g. Let v(y) = 15*y - 1. Is v(z) a prime number? True Suppose -4*t = 6 - 14. Suppose t*s + 10 = -2*l - 0*l, 4*l = 5*s + 25. Suppose 9 = 2*b + b, l = d + 3*b - 62. Is d prime? True Let g(z) = -2*z**3 + 8*z**2 - 8*z + 35. Is g(-9) prime? True Let k(l) = 5 + 4*l - 25*l - 15*l - 1. Let y be k(-4). Suppose 2*c - y = -2*c. Is c a prime number? True Let t be 8/12 - 4/6. Suppose 0 = -s + 5*r + 21, -5*s + 3*s + 4*r + 24 = t. Is s prime? False Let z(r) = 2*r**2 + 3*r - 6. Let l be z(-7). Suppose -k + 14 + l = 0. Let b = 174 - k. Is b a prime number? True Let b(t) = -81*t + 16. Is b(-7) a composite number? True Let j(r) = r**3 - 9*r**2 - 16*r - 5. Is j(12) a prime number? False Let v = 2 - -7. Suppose -2*r - 3 = -4*x - 1, -3*r = -2*x - v. Suppose -2*u + 64 = x*t - 47, -5*u - 74 = -2*t. Is t prime? True Suppose 2*p - 732 = -2*n + 1110, -p + 2*n + 915 = 0. Is p composite? False Suppose 0 = a - 3*l - 13, -2*a + 5*l = -5*a + 67. Let d be -38*a*(-3)/6. Suppose f + d = 3*u, -3*u - 2*f - f = -345. Is u prime? False Let n(g) = 5*g**2 - 10*g - 19. Let r(p) be the third derivative of -7*p**5/30 + 5*p**4/4 + 28*p**3/3 + 2*p**2. Let s(k) = 17*n(k) + 6*r(k). Is s(-10) composite? False Suppose -3*x - 20 = -x. Let p be (1 - 1 - 20)*x. Let k = -121 + p. Is k a composite number? False Suppose -2*u = -58 - 32. Let n = 70 - u. Is n a composite number? True Suppose 2*a = -2*z - 16, -4*z = -2*z - 5*a + 30. Let b = z + 15. Suppose 0 = -2*w + b*w - 39. Is w composite? False Let i = -26 - -146. Is (2 - (2 + -1)) + i composite? True Let q = -31 + 384. Is q a prime number? True Suppose 0 + 9 = 3*c. Is ((-2)/c)/(4/(-186)) prime? True Suppose -2*h + 877 = -477. Is h a prime number? True Let a = 1392 + -652. Suppose -5*h = 2*t - 303, 10*t - 5*h - a = 5*t. Is t a composite number? False Let o = -27 - -9. Is (-1 + o)/(-1)*1 composite? False Suppose -2095 = -3*v - 94. Is v a composite number? True Let g(v) = -v**3 - 6*v**2 + 6*v. Let r be g(-7). Suppose 4*p = a + r, 2*a - 1 = 4*p - 3. Let h = p + 7. Is h a prime number? False Suppose -4*w = -w - 1749. Is w a composite number? True Let o(c) = -c + 11. Let j be o(8). Let w be 41/j + (-4)/6. Let h = w - -1. Is h a composite number? True Suppose -l + 0*m + 85 = -2*m, 3*l - 5*m - 252 = 0. Is l a prime number? True Let q(x) = -x**3 - 5*x**2 - 2*x - 1. Let i be q(-4). Let t be (-2)/9 - 358/9. Let d = i - t. Is d a composite number? False Suppose 2*g + 16380 = 4*h - 2*g, 4*h - 16368 = g. Is h a prime number? True Suppose i = 31 - 10. Let m = -2 + i. Is m a composite number? False Let z be 28/(-21)*18/(-1). Suppose -34 = -4*p - 2*u, 2 + z = 2*p + 4*u. Is p a prime number? True Let l(i) = -4 - 14*i + 9*i**3 - 5*i**2 - 9*i + 1. Let b(m) = 4*m**3 - 3*m**2 - 11*m - 2. Let x(g) = 7*b(g) - 3*l(g). Is x(8) prime? True Let j(a) = -17*a + 4. Is j(-7) a composite number? True Let l(q) = -4*q**2 - 3*q - q**3 + 0 - 2 - 5. Let i be l(-6). Let d = i - 57. Is d composite? True Let z = -17 + 17. Let y(r) = 33 - r + 4*r - 2*r. Is y(z) prime? False Suppose 6 = g + 2*g. Suppose -g*h = h - 78. Is h composite? True Let h be (2/(-4))/((-1)/(-270)). Is (2 - h/(-3))*-1 prime? True Let p(l) = 5*l**3 - 1. Suppose b = 3*t - 0*b - 6, 3*t + b = 0. Let i be p(t). Suppose -i*f = 3*r - 41, -f + 79 = 5*r + 3*f. Is r composite? False Let g be (2 + -2)/(3 + -4). Suppose 2*l - 134 = -g*l. Is l a prime number? True Suppose u - 609 = -128. Is u a prime number? False Let m = 732 - 425. Suppose -a + m = -0*a. Is a a prime number? True Let g(a) = a**3 + 23*a**2 + 13*a + 34. Is g(-15) composite? True Let n = 10 - -34. Let r = 81 - n. Is r composite? False Let c = 135 - -312. Is c composite? True Suppose 6 = -q - 4*y, 5*y = -2*q + 2*y - 2. Let v(b) = 5*b + 1. Let m be v(q). Is m - (1 + 1 + -1) prime? False Let z be (-48 - -5)*(-4 + 2). Let u = -55 + z. Is u a composite number? False Let z = 258 + 593. Is z a prime number? False Let f = 5 - 1. Is f/(-6)*(-2346)/4 a prime number? False Let r = 8266 - 5369. Is r composite? False Let z = 6338 - -1655. Is z composite? False Is 1425 + (-11)/(33/6) a prime number? True Suppose 2*u + 3*u = 40. Let s = u + -8. Is (-12)/(-6) - (-147 + s) a prime number? True Let r be (-1 - (-5)/(-2))*-40. Suppose r = 2*y - 974. Is y a composite number? False Let o = 8 - 5. Suppose -4*a - 12 = 2*m + m, 0 = o*a. Is 1/(-2) - 86/m prime? False Let p be (-3)/(12/(-8)) - -3. Suppose h + 456 = 4*m - 21, -p*m = -5*h - 600. Is m a composite number? True Let u(b) = -b**2 + 5*b - 3. Let k be u(4). Suppose 2*h + k = 3*h. Is (-3*h)/(2 - 3) composite? False Let r = -76 + 141. Suppose 5*g = 110 + r. Is g composite? True Let g(i) = i**2 - 12*i + 13. Let f be g(11). Suppose -f*w + 227 = 3*p, 2*p - 5*w + 2*w = 160. Is p prime? False Let a(c) = c**3 + 12*c**2 + 12*c + 16. Let t be a(-11). Is 2 + 1*t/1 prime? True Suppose 0 = p + 4*p. Suppose 2*n - 2*z - 2 = p, 7*n - 2*n + 13 = -z. Let v(g) = -8*g**3 - g**2 + 3*g + 1. Is v(n) a prime number? False Suppose -4*w - 5 + 32 = -3*y, -2*y + 2*w = 16. Let b be -22*(6/(-4) + 2). Is b*(0 + (y - -2)) prime? False Let g(f) be the second derivative of f**4/12 + f**3/6 + 17*f**2/2 + 2*f. Let h(s) = -3*s**2 - 3*s - 50. Let y(v) = -11*g(v) - 4*h(v). Is y(0) prime? True Let i(y) = -2*y + 1. Let l be i(-2). Suppose 31 = l*n - 119. Suppose -5*g + 2*g = -n. Is g composite? True Let w(n) = -73*n - 3. Let x(t) = 36*t + 1. Let v(k) = 3*w(k) + 5*x(k). Is v(-5) a prime number? True Suppose 5*w + 4*n - 403 = 0, -3*w + 2*n + 243 = 4*n. Is w composite? False Let a(w) = w**2 - 6*w + 2. Let d be a(4). Is 1225/21 + (-4)/d a prime number? True Let x = 1827 + -940. Is x composite? False Suppose g - 63 - 146 = 0. Is g composite? True Let r be (-7)/((-21)/60) + 2. Let c be 15/(-4) - (-9)/12. Let u = c + r. Is u a prime number? True Let p(m) = -6*m**2 - m - 1. Let r(k) = 12*k**2 + 3*k + 2. Let c(o) = -5*p(o) - 2*r(o). Is c(-6) prime? True Let g = 88 - 51. Is g composite? False Let b = -41 + 60. Let a = -12 + b. Is a prime? True Let i(a) be the first derivative of -a**4/4 + 8*a**3/3 - a**2/2 + 3*a + 2. Is i(6) composite? True Let j be 29/2 + (-1)/2. Let g(n) = n**2 - 2*n + 1. Let i be g(3). Let u = j - i. Is u composite? True Suppose -r = -5*a + 9, -5*r = 2*a - r - 8. Suppose a*y - 13 = 15. Is y a prime number? False Suppose 0 = 3*p - 2*p - 188. Let t(x) = 5*x**2 - 2*x + 1. Let a be t(-2). Let j = p - a. Is j prime? True Suppose -4*n + 3*j + 2963 = 0, -6 = -2*j - 0. Is n prime? True Let l(q) = -58*q - 3. Is l(-2) a prime number? True Suppose 2*l - t = 3697 - 1419, 0 = -2*l - t + 2270. Is l prime? False Let l be (-83)/((-9)/(-5) - 2). Suppose 0*g = -5*g + l. Is g a prime number? True Let x be (-6)/(((-2)/(-106))/1). Is (x/(-8))/(2/8) a composite number? True Let z be -1 + (1241 - 1) - -1. Let m(h) = h**2 + 10*h + 17. Let s be m(-9). Suppose 4*v + 3*j - z = 0, j = 3*j - s. Is v a prime number? True Let m = 409 - -78. Is m a composite number? False Let c(i) = 61*i**2 - 7*i - 13. Is c(-4) composite? False Suppose 3*m = -m. Suppose 5*h - 115 = -m*h. Is h prime? True Let d(f) = f**2 + 9*f + 5. Let t be d(-9). Suppose -3*q - 218 = -4*p, -4*p + 220 = -t*q + q. Is p a prime number? True Suppose 6*b + 4 = 2*b. Let c(m) = -m**2 - 3*m + 3. Let s be c(-4). Is ((-2 - s) + -48)/b a prime number? False Let x(s) = s**3 + 4*s**2 + 2*s - 2. Let g be x(-2). Let j = 10 + -8. Suppose 2*l - 34 = 2*c, -j*l - g*c - 21 = -63. Is l a prime number? True Suppose 5*g = 5*n + 15, 0*g + 3
{ "pile_set_name": "DM Mathematics" }
3735*q - 2242. Let h(w) = -7466*w + 4485. Let p(o) = -6*h(o) - 11*x(o). Differentiate p(y) wrt y. 3711 Let w(q) be the third derivative of 53*q**6/30 - q**5/60 + 173*q**4/24 + 5*q**3/6 + 2*q**2 + 2*q + 35. Find the second derivative of w(o) wrt o. 1272*o - 2 Let o = 628 + -625. Let t(k) = -178*k**5 + 177*k + 3. Let x(a) = 355*a**5 - 354*a - 7. Let d(p) = o*x(p) + 7*t(p). What is the second derivative of d(f) wrt f? -3620*f**3 Differentiate 407*h**2 - 26*h - 49*h + 75*h - 935 wrt h. 814*h Let r(j) be the third derivative of 47/24*j**4 + 32*j**2 + 2/105*j**7 + 0 + 0*j**6 + 0*j**3 - 1/20*j**5 - j. Find the second derivative of r(n) wrt n. 48*n**2 - 6 Let o(s) = 3*s + 17. Let p be o(-12). Let z = p - -40. Find the second derivative of -15*c + 11*c**3 + z*c**2 - 21*c**2 wrt c. 66*c Suppose -39*d = 42*d + 63*d. Let t(h) be the third derivative of 0 - 37*h**2 + 0*h + d*h**3 + 7/24*h**4 + 1/12*h**5. Find the second derivative of t(o) wrt o. 10 Suppose 6*d - 8*d - p = -27, 4*d + 5*p - 63 = 0. Let h = d + -10. What is the third derivative of 27*j**5 + 4*j**h + j**2 + 21*j**2 wrt j? 1620*j**2 Let c = -26 + 27. Let i(r) be the first derivative of 14*r**3 + 13*r**2 + c - 9*r**3 + 0 - 11*r**2. What is the second derivative of i(n) wrt n? 30 Let g(h) be the first derivative of -2857*h**3/3 + 6003*h**2/2 - 6052. Find the second derivative of g(j) wrt j. -5714 Find the third derivative of -364*u**6 - 1129*u**6 + 837*u**2 - 1030*u**2 wrt u. -179160*u**3 What is the second derivative of 65*r**2 + 2*r**4 - 53*r**2 + 6613*r - 62*r**2 - 51*r**5 wrt r? -1020*r**3 + 24*r**2 - 100 Suppose -4*d - 2*g + 10 = 0, -2*g - 1 = -3*d + 3*g. Let s = 12 - -6. Find the third derivative of -s*f**2 + 3*f**4 + 3*f**d - 3*f**4 + 27*f**5 wrt f. 1620*f**2 Let n(a) = -a**2 - 3*a + 1. Let c(i) = -i**2 - 1208*i - 424. Let h(x) = c(x) + n(x). Differentiate h(y) with respect to y. -4*y - 1211 Let r(d) be the third derivative of -7/6*d**3 + 0 + 0*d - 59/12*d**4 + 115*d**2. What is the derivative of r(h) wrt h? -118 What is the second derivative of 2930*f + 5796 + 2839*f - 5770*f - 10513*f**2 wrt f? -21026 Let a(r) be the first derivative of -469*r**6/2 - 1777*r**3/3 - 1022. What is the third derivative of a(x) wrt x? -84420*x**2 Find the third derivative of -1037*y**3 + 6*y**2 + 732*y**2 + 875*y**2 + 49*y**2 wrt y. -6222 Suppose 0 = -d + 25 - 3. Suppose 3*m - 5*c = 11, 0 = 4*m - 4*c - 30 + 10. What is the first derivative of d + 22 - 9 - m*t wrt t? -7 What is the first derivative of 44463*r**2 + 7 - r - 45291*r**2 + 1432 wrt r? -1656*r - 1 Let g be ((-9)/27)/(1/(-9)). Let u(b) = -691*b**2 + 399. Let w(l) = 345*l**2 - 200. Let x(m) = g*u(m) + 7*w(m). What is the first derivative of x(v) wrt v? 684*v Let f be (84/16)/(3/8). Suppose f*s - 12*s = 4. Find the second derivative of -8*x**s - 5*x + 0*x - 8*x**2 - 2*x wrt x. -32 Find the second derivative of i**5 + 9*i + 3*i - 3595*i**2 + 15 + 4346*i**2 + 12*i - 7*i wrt i. 20*i**3 + 1502 Let k(n) = -10*n + 52. Let q be (5 + -10)/(-20)*20. Let y be k(q). What is the derivative of -27 - 4*s**4 + 446*s**y - 446*s**2 wrt s? -16*s**3 Let a = 114 - 112. Find the second derivative of 3*w - 3*w**3 - 7*w**3 - 10 - 2*w**a + 16*w**3 wrt w. 36*w - 4 Suppose y - 12 + 9 = 0. Let n(k) = k - y*k - 16 - 9*k. Let l(x) = -34*x - 47. Let m(a) = 3*l(a) - 8*n(a). What is the first derivative of m(g) wrt g? -14 Find the second derivative of -36*h**4 + 175*h**4 + 104*h**4 + 7994*h - 7316*h + 3*h**5 wrt h. 60*h**3 + 2916*h**2 Let u be ((-7)/(-140)*10)/((-1)/(-220)). What is the second derivative of 115*b**3 - 26*b**3 - u*b + 58*b**3 wrt b? 882*b Let d = -118 - -120. Differentiate -28 - 13 - 24 - 18*p**d - 11 with respect to p. -36*p What is the derivative of -5957 - 4730318*j**2 + 2*j - 6516*j**4 + 4730318*j**2 wrt j? -26064*j**3 + 2 Suppose -2*z - p + 51 = 4*p, 20 = -4*p. Suppose -z*a = -41*a + 6. Find the third derivative of -64*l**2 - a*l**3 + 51*l**2 + 19*l**3 wrt l. 102 Let u(j) be the first derivative of -11*j**6/3 + 9*j**5/5 + 15*j**2 - 7*j - 2988. Find the second derivative of u(s) wrt s. -440*s**3 + 108*s**2 Let o(p) be the second derivative of -2767*p**6/15 + 830*p**2 + 34*p - 38. What is the first derivative of o(u) wrt u? -22136*u**3 Let h(v) be the second derivative of 623*v**5/10 + 9*v**4/4 + 2*v**3 + 2*v + 1183. Find the third derivative of h(p) wrt p. 7476 Let a(h) be the second derivative of -5*h**6/24 - h**4/24 - 134*h**3/3 + 33*h**2 - 252*h. Let k(r) be the first derivative of a(r). Differentiate k(v) wrt v. -75*v**2 - 1 Let m(t) = -87*t + 4559. Let s(c) = -4*c + 3. Let h(l) = m(l) - 6*s(l). Differentiate h(u) wrt u. -63 Suppose 0 = -49*j + 56*j - 77. What is the second derivative of 1 - 80*m**5 + j*m**4 + 3*m + 131*m**5 - 11*m**4 wrt m? 1020*m**3 Let b(w) = 4952*w**2 - 54*w - 11. Let o(y) = -y**2 + 3*y + 2. Let j(m) = -b(m) - 10*o(m). Find the second derivative of j(x) wrt x. -9884 Let s(k) be the second derivative of 1532*k**3/3 - 286*k**2 - k - 3365. Differentiate s(d) with respect to d. 3064 Let r(h) = -361*h**4 + 6*h**3 - 2*h**2 - 6334. Let x(q) = -358*q**4 + 8*q**3 - 3*q**2 - 6336. Let s(y) = -4*r(y) + 3*x(y). What is the derivative of s(g) wrt g? 1480*g**3 - 2*g What is the first derivative of -141*v**4 + 144*v**4 - v**3 - 9*v**2 - 2689 + 242 - 11*v**2 wrt v? 12*v**3 - 3*v**2 - 40*v Let b(r) be the first derivative of 3937*r**2 - 6452*r - 7946. Differentiate b(h) wrt h. 7874 Let o(v) be the second derivative of 569*v**5/20 - 179*v**4/4 + 35*v. Find the third derivative of o(g) wrt g. 3414 Let u(y) be the first derivative of 264*y**4 - 4*y**3/3 - 373*y**2 + 2*y - 4383. Find the third derivative of u(z) wrt z. 6336 Let r(w) = -15652*w**2 - 1934*w. Let q(t) = 23482*t**2 + 2901*t. Let f(c) = -5*q(c) - 7*r(c). Find the second derivative of f(a) wrt a. -15692 Let o(c) = 11*c + 25. Let d be o(-2). Suppose 64 - 121 = -d*s. Find the second derivative of 6*x**2 + 8*x + s*x + 5*x - 6*x wrt x. 12 What is the second derivative of 265 - d - d**4 + 346 - 161 + 148*d**5 - d**4 - 527*d**5 wrt d? -7580*d**3 - 24*d**2 What is the third derivative of -10*t**3 + 1798*t**2 + 3041*t**2 - 104*t**2 + 1508*t**2 wrt t? -60 Suppose 2*g - 394 = -390. Let c(p) be the third derivative of 0 - 11*p**g - 2/3*p**3 + 1/24*p**4 + 0*p. Differentiate c(z) with respect to z. 1 Let h(u) = 625*u**2 - 56*u - 14. Let b(g) = -2*g**2 - g + 2. Let a(f) = 4*b(f) + h(f). What is the second derivative of a(s) wrt s? 1234 Let d(h) be the third derivative of -1/40*h**6 + 0*h**4 + 2*h**2 + 0 - 1/12*h**5 + 25*h - 67/6*h**3. Differentiate d(m) with respect to m. -9*m**2 - 10*m Differentiate -36*k - 6131*k**2 + 6136*k**2 - 414 + 658 + 1158 wrt k. 10*k - 36 Suppose 354 = 8*r - 14. Let v = r + -35. Find the second derivative of o**3 - 19*o**3 - o**3 - v*o wrt o. -114*o Let a = 45 - 35. Suppose -7*p = -12*p + a. Find the third derivative of -k - 2*k + p*k**3 + 3*k + 8*k**2 wrt k. 12 Suppose w + 8 = 2*w. Let y be 146*((-28)/w)/(-7). What is the second derivative of -5*s**4 - 4*s**4 - y*s + 72*s wrt s? -108*s**2 What is the second derivative of -4*z + 535132*z**2 + 500 - 1075407*z**2 + 534250*z**2 wrt z? -12050 Let c(d) = 62*d**2 - d - 5. Let q = 23 + -28. Let x(u) = 61*u**2 - 6. Let m(z) = q*x(z) + 6*c(z). Find the second derivative of m(i) wrt i. 134 Suppose -22*x = -31 + 18 + 13. Let l(j) be the second derivative of x - 21*j + 0*j**2 - 3*j**4 - 14/3*j**3. What is the second derivative of l(c) wrt c? -72 Let a(q) = -12272*q**2 - 10937*q + 7. Let y(c) = 6149*c**2 + 5469*c - 3. Let t(f) = 2*a(f) + 5*y(f). Find the second derivative of t(k) wrt k. 12402 Let i(g) be the first derivative of -344*g**5/5 - 2570*g**3/3 + g**2 + 987. What is the third derivative of i(t) wrt t? -8256*t Let n(h) be the second derivative of -1199*h**4/12 - 4219*h**2/2 - 605*h + 2. Differentiate n(m) wrt m. -2398*m Let v(b) be the third derivative of b**7/210 - 2461*b**4/24 - 2371*b**3/3 + 7577*b**2. Find the first derivative of v(j) wrt j. 4*j**3 - 2461 Let x(v) = 14347*v - 2772. Let j(w) = 28692*w - 5548. Let m(i) = -5*j(i) + 9*x(i). Find the first derivative of m(f) wrt f. -14337 Differentiate 2564 - 320*t + 2498 - 347*t + 2029 - 1835*t wrt t. -2502 Let i(v) be the first derivative of -183*v**2/2 - 1821*v + 460. Differentiate i
{ "pile_set_name": "DM Mathematics" }
of 241010.3 and 77. 18557793.1 Work out -166 * -423.351. 70276.266 Product of -2.1263557 and -4. 8.5054228 606523 times 1.4 849132.2 -0.18 times 1.3529127 -0.243524286 -2 * 391182 -782364 Calculate -106655*-0.5. 53327.5 What is the product of -0.92 and -2168293? 1994829.56 272 * -2898.5 -788392 Product of -31434706 and 5. -157173530 Calculate -71254619*0.4. -28501847.6 Multiply 0.1 and -0.3173701. -0.03173701 What is -187.9 times -562.99? 105785.821 What is the product of -102.46 and 0.07332? -7.5123672 1 * -44438866 -44438866 Calculate 45342*7. 317394 What is the product of 0.5 and 7862.134? 3931.067 Multiply -600491.9 and 2. -1200983.8 0.0704 times -32694 -2301.6576 What is the product of -22 and -7671542? 168773924 Work out 383.1 * -37.65. -14423.715 What is -2 times -44097? 88194 What is the product of -16.97 and 105656? -1792982.32 Product of -1538454 and 0.9. -1384608.6 Calculate -862024*-0.11. 94822.64 -5.7 times -181094 1032235.8 29.469*2362 69605.778 What is 276 times -11.359? -3135.084 -751*0.07622 -57.24122 What is the product of -773 and 3378.3? -2611425.9 9.33 * -45.54 -424.8882 -0.3 * 0.00179061 -0.000537183 Work out -267.486 * 202. -54032.172 Product of 6.3 and 21.2399. 133.81137 -0.4*3660510 -1464204 What is -3.77 times 18992.4? -71601.348 Work out 1427.3 * -26003. -37114081.9 What is the product of -21 and 0.0531? -1.1151 Calculate -21480.53*3. -64441.59 -3.2940936*-1 3.2940936 Calculate -0.128625*-173. 22.252125 Work out 382424 * 8.14. 3112931.36 0.0605*-178797 -10817.2185 8408.7*1466 12327154.2 17072*1.4187 24220.0464 85*-6403 -544255 0.1588692 times 10 1.588692 Work out 3 * -1788.87. -5366.61 258.23 * 8.2 2117.486 Multiply -0.032 and 21802. -697.664 Work out 73653.731 * -0.03. -2209.61193 Calculate 0.47773396*5. 2.3886698 What is the product of 5658 and -0.09506? -537.84948 2.3868*1666 3976.4088 10 * -653.11941 -6531.1941 Work out 10.64 * -2.5472. -27.102208 -4976.41 * 0.05 -248.8205 What is the product of -10.394018 and -0.5? 5.197009 Work out 10 * 272298. 2722980 0.082 * -16616 -1362.512 What is the product of -19 and -132334.5? 2514355.5 Product of -2982 and -1710. 5099220 Product of -310 and 1339308. -415185480 Multiply -162875.68 and 2. -325751.36 Multiply -8.73533 and 255. -2227.50915 617 times 167 103039 What is -36.364 times 49.8? -1810.9272 What is 39488278 times -0.3? -11846483.4 Multiply 108383093 and 5. 541915465 What is -30.2 times 0.01193? -0.360286 -6204916.61 * -0.2 1240983.322 -3 * -5574674 16724022 What is the product of -2.23 and 23952? -53412.96 Calculate -40*-394474. 15778960 Work out 5 * -201.50991. -1007.54955 Multiply 0.00704 and -1.664. -0.01171456 What is 1 times -1219256? -1219256 -318.635 * 0.397 -126.498095 Multiply -0.019493 and -54. 1.052622 Work out 13 * 3179.36. 41331.68 Multiply -8 and -126806. 1014448 Multiply 0 and -8141131. 0 Product of -318933 and 0.21. -66975.93 Calculate -241*372390. -89745990 What is 344 times 15.175? 5220.2 -185.934*0 0 -158.4986*448 -71007.3728 What is 4.056 times 1150? 4664.4 Multiply -0.0454 and 4.38934. -0.199276036 What is 3 times 7953787? 23861361 Calculate -173808.3*-0.0478. 8308.03674 Product of 779219 and -7. -5454533 -74038552.7 times -0.5 37019276.35 1446394*3.4 4917739.6 Calculate -14849*-21427. 318169523 Product of -22.433657 and -1.5. 33.6504855 -36 * 6224800 -224092800 Calculate -16346.3*8. -130770.4 Product of -1.52032674 and -0.2. 0.304065348 Calculate 51248*220. 11274560 Product of 0.0206 and 649. 13.3694 Calculate 0.0421*419.85. 17.675685 Product of 10.20112 and 54. 550.86048 Multiply -82485.9 and 83. -6846329.7 What is the product of -1633509 and -156? 254827404 Work out 0.44 * -675081. -297035.64 -1265*-0.9344 1182.016 Multiply -34539.14 and -13. 449008.82 -0.0293740197*-0.1 0.00293740197 Product of 1552 and -3872. -6009344 Calculate -12785*114. -1457490 Product of -39 and -173.595. 6770.205 What is -1087455 times -0.1? 108745.5 Calculate 1.5*59957018. 89935527 Calculate 12.4353*-0.4. -4.97412 Multiply 2 and -1.4593114. -2.9186228 Product of 384 and 76.76. 29475.84 33912 * 2.2 74606.4 Product of -2075 and 1233. -2558475 -831572 times -422 350923384 What is 1.3 times 247.7482? 322.07266 2234.75 * 2.05 4581.2375 What is 72519330 times -1? -72519330 Multiply -1.91352 and 0.188. -0.35974176 What is 8 times 218711.8? 1749694.4 -3455169 times -12 41462028 -379406*-0.5 189703 Multiply -60578 and -29. 1756762 -1.1 * -558216 614037.6 Work out -49.8 * 26.7. -1329.66 What is -9 times 0.3609751? -3.2487759 Product of -0.05 and -8.393493. 0.41967465 What is -456.03259 times 0.11? -50.1635849 Work out -0.65965 * -10712. 7066.1708 0.4 * -0.008476393 -0.0033905572 What is the product of 2 and -503915.22? -1007830.44 Product of -21157 and -0.04788. 1012.99716 Work out -126 * -185954. 23430204 -3 times 11774929 -35324787 What is -158 times 58.478? -9239.524 -91*-12.28659 1118.07969 Product of 289.1 and 1074. 310493.4 Calculate -0.008015*0.012. -0.00009618 What is the product of 0.214904 and -1421? -305.378584 Product of -6656.5 and -247. 1644155.5 Product of -1650.61 and 31. -51168.91 Product of -0.09 and -2249756. 202478.04 What is the product of -0.161 and -173.52? 27.93672 Multiply 60812 and 14.53. 883598.36 0.2122 * -62 -13.1564 31.9 * 4.47265 142.677535 Multiply 0.153669 and 1.7. 0.2612373 Calculate -8222841.7*-0.1. 822284.17 -6.05514*5 -30.2757 Product of -628 and 46870. -29434360 Product of -80879.8 and -9. 727918.2 6017.75 * -129 -776289.75 -24383209 * -0.3 7314962.7 What is the product of -0.9 and 957.3034? -861.57306 What is 1487.7 times -19.833? -29505.5541 What is the product of -1711050 and 5? -8555250 -0.01386 times 0.33 -0.0045738 Product of -4 and -2868095. 11472380 Product of -7710.1 and -146. 1125674.6 Multiply 2242.31 and 338. 757900.78 Multiply -1426565 and 90. -128390850 Work out 11.6534637 * 0. 0 What is -157.013 times 14.42? -2264.12746 Calculate -0.1081*2883. -311.6523 Calculate 870602*-6. -5223612 8592 * 195.4 1678876.8 -27.5*0.24179 -6.649225 What is the product of 2342.8 and 253.3? 593431.24 What is the product of 3296063 and 8? 26368504 What is -599031 times -183? 109622673 What is -12.29 times -52043? 639608.47 -12.52 * -832589 10424014.28 -3437*0.00619 -21.27503 Product of -326104 and -0.1145. 37338.908 Work out 693.4 * -104.58. -72515.772 Calculate 1198584.5*0.1. 119858.45 0.3933554 * 0 0 0.01 * -18.17911 -0.1817911 -0.49 times -0.3986 0.195314 -9914.4 * 0.02667 -264.417048 Calculate -3.457741*0.5. -1.7288705 What is the product of 3602 and 142425? 513014850 107*-100423 -10745261 Calculate 0.00129924*4. 0.00519696 Product of -7.69433 and 0.029. -0.22313557 Product of -310496053 and 2. -620992106 Work out 0.1 * 6628.5519. 662.85519 Calculate 0.2*396731699. 79346339.8 What is -124.06 times 14242? -1766862.52 0.02 times -984400 -19688 -0.3 times 52.3734 -15.71202 -37521 times 6.8 -255142.8 What is the product of -5276717 and 0.2? -1055343.4 What is 0.3 times -34378533? -10313559.9 -117385.8 * -0.6 70431.48 Product of 3430 and -0.1977. -678.111 -9.5*267465 -2540917.5 Product of -56819 and 121. -6875099 What is 144646.1 times 145? 20973684.5 Work out -3268 * -507. 1656876 417 times 0.023478 9.790326 What is 14582 times 0.789? 11505.198 Work out -50978 * -216. 11011248 Multiply 0.092396 and 22. 2.032712 49781 * 0.04 1991.24 -69 * 54.3518 -3750.2742 0.1317 times 0.181 0.0238377 Product of 1037 and -169.5. -175771.5 15584141*4 62336564 -10544654*0 0 What is 60220 times -16.2? -975564 Calculate -79.9*-0.0265489. 2.12125711 Product of -90 and -0.0874594. 7.871346 What is 4 times -0.57346154? -2.29384616 10626 * 31.49 334612.74 -3.26 times -0.045461 0.14820286 0.06423*2994 192.30462 157051 times -5.9 -926600.9 Product of -249764701 and -4. 999058804 What is -374916.07 times 0.3? -112474.821 Calculate -0.2*-0.000457386. 0.0000914772 0.4378288 times 0.7 0.30648016 Product of 27 and -3665.2694. -98962.2738 Product of -16947 and -0.121. 2050.587 -173606 times -15.3 2656171.8 355761.36*0 0 0.01667*0.1772 0.002953924 32*2195983 70271456 What is 0.017 times 19215.51? 326.66367 Multiply -0.12 and -1275922. 153110.64 What is -4049 times -671? 2716879 What is the product of 1704546 and -0.12? -204545.52 What is -6.5968 times 83.6? -551.49248 Calcul
{ "pile_set_name": "DM Mathematics" }
e -3*o - 4 = -58. Let m be o*(25/(-10) - -3). Suppose 2*j + 60 = 7*j. Solve b + m = -5*a - j, 0 = a - 4*b for a. -4 Suppose 7 = 3*v - 2*q + q, -5*v - 2*q = -30. Suppose g - 5*g = 3*o - 31, -26 = -4*g - 2*o. Solve 0 = 2*t - h - 10, -2*t = -6*t - g*h - v for t. 3 Let m(q) = 2*q**3 - q**2 - q + 1. Let v be m(1). Suppose -39*z = -14*z + 20 - 95. Solve 5*d + o - 1 = z*d, -v = o for d. 1 Let m(n) = -9*n**2 - 7*n**2 + 1 - 6*n + 15*n**2. Let u be m(-3). Solve 0 = v + 2*j, 3*j - j = 4*v - u for v. 2 Suppose 326 = 39*u - 64. Solve -x = -16*c + 21*c + 23, -2*x + u = -4*c for x. -3 Let a = -47 + 52. Solve 3*k + 3*p - a + 11 = 0, -3*k + 2*p = -9 for k. 1 Let o(j) = j**2 - 37*j - 360. Let q be o(-8). Solve q = 5*p + s + 6, 4*s = 2*p + 8*s - 12 for p. -2 Let c be (-54)/(-22) - 5/(110/(-12)). Solve -k = 4*d - 12 - 8, 3*d - c*k = 15 for d. 5 Suppose -2*m - 1 = 5*s - 15, 3*m - 3 = -3*s. Suppose 5*v - s*y - 125 = -25, -2*y = 0. Solve -2*r + l = -8, -5*r - 4*l + v = -l for r. 4 Let q = 52 - 23. Let r(f) = -f**2 - 2*f + 5. Let v be r(-3). Suppose 0 = -3*p - l + 5, v*p + 3*p = -l + 11. Solve -5*z + 3*x = -0*x - 30, p*z - 4*x = q for z. 3 Let r be (10 + -1)/(1 + 0). Let f be 2*39/(-26)*(-8)/6. Solve -r = -5*y + f*x + 1, 4*x = -2*y - 24 for y. -2 Suppose 38*y - 414 = 35*y. Let q = -134 + y. Solve 2*v = c - 4, 2*c = 5*c - q*v - 6 for c. -2 Let z(u) = 3*u - 12. Let r be z(5). Suppose 9*l + r - 12 = 0. Solve 5*d - 4 - l = 5*y, 0 = -4*d + y + 4 for d. 1 Let f be -1 - 3*5/(-3). Solve 0 = 5*l + 2*d - 16, 4*l + 3*d = f + 13 for l. 2 Suppose 3*r - 42 = -5*w, 2*r = 4*w + 1 - 17. Suppose w*j - 3*d - 22 = j, -5*j = -d - 14. Solve -5*m + 5 = b + 4*b, -22 = -4*m + j*b for m. 4 Suppose -26*w = -27*w - 2. Let l(t) = -2*t**3 - 2*t**2 + 2*t. Let i be l(w). Solve -5*k - 4*c = -2*c - i, 6 = -5*k + 3*c for k. 0 Suppose -6*z + 56 = -4*z. Let p = z - 25. Suppose -2*k + u + 0*u + p = 0, k = 5*u - 12. Solve -5*t + x = -14, -2*x - 1 = -k for t. 3 Let o = 0 - -5. Suppose -g + 2*w + o + 1 = 0, 5*w = -4*g + 11. Solve -g*y = -d - 9, 4*y + 1 = 5 for d. -5 Let s = -27 + 67. Let v be ((-16)/s)/(2*3/(-300)). Solve 5*i + 20 = o, 6*i - 7*i - v = 3*o for i. -5 Let u be (1 + -3)/((-522)/(-131) + -4). Suppose -11*k = -23 - u. Solve 2*x = -q + 3*q, 5*q = -2*x + k for q. 2 Let k = 7 + -22. Let f be 3/1*(-80)/k. Solve -4*w - f = 0, 3*m + 8 = 2*m - 2*w for m. 0 Let a be 43/4 - (-75)/(-100). Suppose 4*z - a*z + 60 = 0. Solve -3*j + 6 = -4*o - 5, 3*j - 5*o = z for j. 5 Suppose 0 = 6*g - g - 70. Suppose 4 = -2*q + 3*s - 3, 0 = -q - 2*s + g. Solve 0 = -5*l - q*v - 20, 2*v + 4 = -l - 3*v for l. -4 Suppose -3*z - 2*v + 4 = -6, 0 = -z + 5*v - 8. Let d = 8 + -4. Let c(t) = 2*t**2 - 6*t + 6. Let r be c(d). Solve 5*i = -7*w + z*w, 0 = -2*i + 5*w + r for i. 2 Suppose 11*s = -2120 + 2186. Solve 4*u + 2*m = -4, u - 4*u = 3*m + s for u. 0 Let d be 44/10 + 4/(-10). Let c = 18 + -15. Suppose 4*z + 0*i - c = i, -z + i + 3 = 0. Solve z = 3*h + 4*w - 3, h + d*w + 27 = 4*h for h. 5 Let m be 10*(72/(-16) + 5). Solve 5 = -3*u + m*s - 11, -4*u = 4*s - 32 for u. 3 Let r be (-28)/168 - 2/((-12)/7). Let b(c) = 11*c - 5. Let o be b(r). Solve 5*z + o*i = i + 10, z + 3*i = -2 for z. 4 Suppose -5*f + 2*l = 5*l + 2, 3*l = -12. Solve -r - f*q = -6*r + 6, -4*r - q = -10 for r. 2 Suppose -2*j - 5*n = -1, -j + 0*j = n - 5. Let l be (j/(-6))/(1/(-3)). Solve -4*p - l*o = -12, p - 2*p + 5*o = 27 for p. -2 Let k(x) = x**2 - 8*x + 3. Let c be k(8). Solve -11*n = -c*s - 7*n + 4, -3*s + 3*n = -3 for s. 0 Suppose b - 3*i - 13 = -6*i, -5*b - 3*i = -113. Solve -5*f = 5*n - b, 5*n + 24 = 4*f + 4 for f. 5 Let c = -53 - -56. Suppose 0 = 3*y + 3*f - 6, 2*y - 24 = -y + c*f. Solve k - 8 = -y*a + 7, -5*k + 9 = 3*a for k. 0 Let d = -1415 - -1427. Solve -m + 3*g - d = 0, -8 = 4*m - 3*g + 13 for m. -3 Let b be 3 + 2 + -3 + 0. Let o be 13 + 1*(4 + 0). Let t = o + -17. Solve -3*h - i - i + 1 = 0, t = -h - b*i - 1 for h. 1 Suppose 7 = 5*p - 3. Let c be 0 - 0/p - -3. Solve -2*u = 3*u - c*w + 17, 4*u + 4*w = 12 for u. -1 Let o(z) = z**3 - 34*z**2 + 4*z - 132. Let d be o(34). Solve 8*u = 5*i + d*u - 27, 0 = 5*i - 3*u - 24 for i. 3 Let f(z) = 4*z**2 + 26*z - 51. Let x be f(2). Let o(w) = -4*w - 1. Let c be o(-3). Solve 3*y + b + c = -0*b, -x = 4*y - b for y. -4 Let r = -32 - -34. Let z be (-4)/(-2) + (3 - r)*2. Solve j = -1 - 0, 0 = z*i - 5*j - 1 for i. -1 Let m(i) = -8*i**3 + i + 1. Let r be m(-1). Suppose 5*k + 3 + r = f, 5*k + 3*f + 7 = 0. Let l = k - -4. Solve 0 = -h + l*y - 2, -5*h + 3*h = -2*y - 2 for h. 4 Let q(r) = 10*r - 6. Let i be q(5). Let u be 4/26 - i/(-52). Let c be u/(-1 - (-4)/3). Solve -10 = 4*x - 2*x + 5*k, -c*x + 5*k = 15 for x. -5 Let v be 0/(-2) + 4 + -1. Let q = -15490 - -15493. Solve 0 = -5*u + q*h + 10, -2*u - v*h = -0*u - 25 for u. 5 Suppose 19*o - 11 = 27. Solve o*p + 10 = -2*k - 0*k, -20 = 4*p for k. 0 Suppose 41 = 7*v + 13. Suppose m = -v*m. Solve -h + 2*w = 4*w + 14, m = h - w - 1 for h. -4 Let q be (7 - (-39)/(-12)) + 2/8. Solve 3 = 3*t, -q*g + 6*t - 2*t = 0 for g. 1 Let n be (6/(-4))/((-3)/6). Suppose c - 22 = -4*c + k, 0 = k - n. Suppose c = -3*q + 35. Solve -5*w + 10 = -5*s, w = -0*s + 5*s - q for w. 5 Let w = 323 + -309. Solve 5*q = -3*c + w, 0*q + q - 14 = 5*c for q. 4 Suppose -20*l - 44 = 2*l. Let h be 5 - 2 - (l + 1). Solve x = -0*x - 2*u + 10, x - h*u = -20 for x. 0 Suppose -x + 50 = -0*f + 4*f, -5*x + 22 = f. Let z be (f/8)/(3/8). Let h(p) = -p - 13. Let k be h(-14). Solve -z = 3*q + 3*m - 4*m, -m = -k for q. -1 Suppose -52 = -3*q - 7. Suppose t + 3 - 1 = 0, 5*t = -5*x + 25. Suppose -x*z + 9 + 12 = 0. Solve 13 = 3*a + v, 2*a - q = a - z*v for a. 3 Let b(d) = 30*d + 182. Let z be b(-6). Let l be (34/4 + -2)*2. Let o = l + z. Solve 2*w - 3 = 1, -3*m = -3*w + o for m. -3 Let z be ((-6)/(-5))/((-12)/160). Let h be (2 - (-22)/(-8))*z. Let m = h - 12. Solve 4*c = -m*c + 16, 11 = -p + 3*c for p. 1 Suppose -29*z + 4*z = -250. Solve 22 = 4*y + 3*l - 0*l, -5*l = -5*y + z for y. 4 Suppose -9*d + 6 + 21 = 0. Let f = -5 + 7. Suppose 4*l + f = 5*p + 28, -3*l = 3*p - 6. Solve -5*y - d*z + l - 14 = 0, 16 = y - 3*z for y. 1 Suppose 2*m = 5*n - 6, 10 = 4*n + 2. Let u = m + 2. Let z = -9 + 12. Solve 5*y + z*w = -37, -4*w - u = -3*w for y. -5 Let t = -419 - -424. Let a(d) = d**2 + 4*d - 5. Let x be a(-5). Let n = 2 + x. Solve 0*k - 2 = 3*k + t*i, i - n = 0 for k. -4 Suppose 3*s + 4*u - 88 = 0, -2*s + 2*u + 62 = 4*u. Let w = 41 - s. Solve -4*v + w = 1, 3*v + 7 = 2*o for o. 5 Suppose 2*d + 33 = 113. Let y = 26 - d. Let g = y - -17. Solve 0*p - p - 5*q - g = 0, 3*q = -3 for p. 2 Suppose 6*o = 44 - 14. Suppose f + 4*b - 4 = 0, -o*b + 7 - 22 = 0. Solve -5*q = c - 2*c - f, 0 = 2*c - 5*q + 12 for c. 4 Let z(y) = 5*y - 18. Let w be z(4). Suppose -5*c = 3*s + 10, -s - 3*c - 6 = -w*s. Solve 0 = 5*i - 3*k - 4, s = 5*i + 3*k + 5 + 9 for i. -1 Let s(m) = 2*m - 22. Let d be s(13). Solve v = 4*l + 18, 5*l - v = d*v - 30 for l. -4 Let t = 8 + -11. Let v = 7 + t. Suppose -h + 17 = 4*q, 0*q = -v*h + 5*q + 5. Solve h*o - 3*z + 27 = -1, -5*o + z = 26 for o. -5 Suppose 2*p = -3*f - 4, 13*p - 4*f = 11*p + 10. Solve -3*h = -5*w + p, 5 = 5*w - 10*w + 5*h for w. 2 Suppose -4*j + 20 = j. Solve -3*t + 4*t = -3*x + j, 4*t + x + 17 = 0 for t. -5 Let m = -475 + 479. Solve 3*k = -4*h + 26, -h = -4*k - 1 + m for k. 2 Let m(z) = z**2 - 12*z + 29. Let q be m(10). Suppose 4*i - i = -6. Let p be (-2)/4 - i/4. Solve 2*a + q = j - 0*j, p = -4*j - 2*a - 14 for j. -1 Let n(k) = -k**3 + 6*k**2 + 8*k - 5. Let j be n(7). Suppose -j*v + 20 = -0*v. Solve -4*i - s + 2 = 0, 3*s = -i + 5*i - v for i. 1 Let o(d) = d**2 - 4*d - 43. Let w be o(-5). Suppose 0*p - w*y + 2 = p, 2 = p - 5*y. Solve -3*j - 5*z + 6 + 2 = 0, 6 = 4*j + p*z for j. 1 Suppose -38 = -f - 0*f. Let j(r) = -3*r**2 + 4*r + 2. Let k be j(0). Suppose -k*z + 4*z = f. Solve -s = -6*s - 5*w - 35, z = -5*s - w for s. -3 Let m = 12 - 9. Suppose m*z - 50 = 4*x, -2*z - 27 = 2*x - 79. Solve -c - 4*j - z = 0, -7 = 3*c + 3*j + 14 for c. -2 Let c be (-12)/20*(-6 + (-3 - -4)). Suppose j - c*j - t = -7, 0 = -2*t - 6. Solve -5*y - 2*z - 35 = 0, -3*y + 2*y + 2*z = -j for y. -5 Suppose 183 - 53 = 5*u. Suppose -2*z - 4*c - u = c, -5*z - 2*c - 44 = 0. Let a = -3 - z. Solve 5*j - n - 19 = -7, -15 = -a*n for j. 3 Let r = 1307 - 1307. Solve 3*s - 4 =
{ "pile_set_name": "DM Mathematics" }
of p + (7 - 6/(-3))? 2 Let r be (90/(-21))/((-1)/7). Suppose x - r = -0*x. Suppose x = -0*g + 3*g. What is the units digit of g? 0 Let n(c) be the second derivative of -c**3/2 - c**2 - c. Suppose 4*z - 14 = -f - 2, f + 5*z - 16 = 0. What is the units digit of n(f)? 0 Let d = -74 - -143. What is the units digit of d? 9 Let v = -3 - -6. Suppose v*o - 5 = 2*r + 5, -r = -5*o + 19. Let x = r + 0. What is the units digit of x? 1 Let i(s) = -s + 2. Let j be i(14). What is the units digit of (-1)/(-2) - 78/j? 7 Let f = 10 - -10. Suppose -10 = -5*j + f. Suppose -j + 0 = -2*z + 4*y, -3*z + 9 = -2*y. What is the units digit of z? 3 Suppose 3*d = 6*d + 3*b + 9, 5*d + 3*b + 11 = 0. Let x be d + (2 - 2) + 1. Suppose x*f - 14 = -2*f. What is the units digit of f? 7 Suppose 3*z - 8 = 1. Let q be ((-3)/z - 0)*0. Suppose 2*i - 30 = -2*t - q*i, 5*t = 4*i + 75. What is the tens digit of t? 1 What is the units digit of ((-10)/(-15))/2*213? 1 Let v(s) = -4*s + s + 0*s + 1. Let f be (0 - 1)*(1 + 0). What is the units digit of v(f)? 4 Suppose 28 = -2*h - 2*h. What is the units digit of h/28 - 298/(-8)? 7 Suppose 0 = -c + 1 - 4. Let b(x) be the second derivative of -x**5/10 - 5*x**4/12 - x**3/3 + 2*x**2 + 3*x. What is the tens digit of b(c)? 1 Let t be (-2)/(0 + (-3)/6). What is the tens digit of 151/t + 10/40? 3 Let q(s) = -8*s**2 + 10*s**2 - 1 + 2*s - 2. What is the units digit of q(2)? 9 Let r = -8 + 8. Let a = 3 + r. What is the units digit of a? 3 What is the hundreds digit of (130 + 0)/(1/2)? 2 Suppose 3*k - k + 32 = -5*w, -3*w - 30 = 3*k. Let j = k + 11. What is the units digit of j? 5 Suppose -5*a + 0*a + 540 = 0. What is the tens digit of a? 0 Let n(s) be the third derivative of s**5/120 + s**4/24 - s**3/3 - s**2. Let d(o) be the first derivative of n(o). What is the units digit of d(3)? 4 Suppose -2*z + 63 = 3*d - 0*d, -5*z + 153 = 3*d. What is the units digit of z? 0 Let g(p) = -p**3 - 5*p**2 - 8*p + 4. Let b(f) = f**3 + 4*f**2 + 8*f - 4. Let m(y) = 3*b(y) + 4*g(y). What is the units digit of m(-7)? 1 Let d(h) = -h**3 - h**2 + 2*h + 9. What is the units digit of d(-4)? 9 Suppose -2*w = -8, 4*r + 24 = 3*w - w. Let v = -3 - r. What is the units digit of v? 1 Let g = 18 - 30. Let z = 8 + g. Let c(o) = -3*o + 1. What is the units digit of c(z)? 3 Let h be (-126)/(-8)*2*-2. Let w = -29 - h. What is the tens digit of w? 3 Let d(u) = -u**3 - 3*u**2 + 3*u + 5. Let t be d(-4). What is the units digit of t/3 + (-6)/(-2)? 6 Let t = 3 - 8. Let i(d) = d**3 + 4*d**2 - 8*d - 7. Let f be i(t). What is the units digit of 6/(2/f*6)? 4 Let x be 0/(-1)*(1 - 0). Suppose 0 = -x*q + 2*q - 32. What is the units digit of q? 6 Let a = 3 + -12. What is the units digit of (-6)/27 - 20/a? 2 Suppose 4*c - 3*h - 12 = 2*c, -h = -2*c + 12. What is the units digit of c? 6 Let u(a) = -a + 17. Let i be u(13). Suppose -6*m = -i*m - 36. What is the units digit of m? 8 Let j(t) = 7*t. Let r be j(2). Let v = r + 27. What is the units digit of v? 1 Suppose 12 = 4*j - 12. What is the units digit of j? 6 Let q(k) = k + 21. Let s be q(-11). Suppose -15 = -8*z + 3*z. Suppose 2*i + s = 5*d - 20, -z*i + 7 = -d. What is the units digit of d? 8 Suppose 0 = -w - b + 6, 2*w + 3*b = 3*w - 14. Suppose z - w = 1. What is the units digit of z? 9 Let v(a) = a**2 + a + 1. Let s be v(-1). Let y be ((-30)/(-5))/(-1 + 3). Let q = y + s. What is the units digit of q? 4 Let w be (-2 - -1)/((-6)/12). Let s(o) = o**3 + 7*o**2 + 8. Let k be s(-7). Suppose -k = -l - w. What is the units digit of l? 6 Let z = -5 + 10. Suppose z*n + 15 = f, -f + n - 5*n + 33 = 0. What is the tens digit of f? 2 Suppose -4*t = 16, -t + 68 = 4*y - 192. What is the units digit of y? 6 Suppose -9 = -x - 14. Let s(f) = 9*f - 2. Let a(z) = -3*z + 1. Let u(b) = -17*a(b) - 6*s(b). What is the tens digit of u(x)? 1 Let o(x) = -x**3 - x + 171. What is the hundreds digit of o(0)? 1 Suppose 3*q + 3*i - 14 = 19, 5*q - 5*i - 75 = 0. What is the units digit of q? 3 Let c be 600/42 - 4/14. Suppose 14 = -4*d - c. Let x = -4 - d. What is the units digit of x? 3 Suppose 0 = -0*h - h + n + 1, 5*n - 19 = -h. Suppose h*u = 96 + 152. Suppose -5 = 3*q - u. What is the units digit of q? 9 Suppose 13 = -2*l + 99. What is the units digit of l? 3 Let q = 5 + 2. Let p(x) = -x**2 + 10*x - 1. What is the units digit of p(q)? 0 Let x = -4 - -9. Suppose -x*d + 2*m - 3*m = 730, 2*d - 2*m + 292 = 0. What is the tens digit of (-2)/(-5) - d/10? 1 Suppose -84 = a + 2*a + 5*d, 3*d = -9. Let q = -22 - a. What is the units digit of q? 1 Let l(t) = -t**2 - 20*t - 10. Let w be l(-14). Let m = 126 - w. What is the tens digit of m? 5 Let j be 0*(-3 + 5/2). Suppose -5*t - 2 + 67 = j. What is the units digit of t? 3 Let k(r) = 7*r - r + 6 - r + 7*r + r**2. Let j be k(-11). What is the units digit of j/(-2)*48/40? 3 Let u(m) = 91*m**2 + 4*m - 3. What is the units digit of u(1)? 2 Let p = -9 + 2. Let l = p - -6. Let t = 5 - l. What is the units digit of t? 6 Suppose 0 = 4*a - 10 - 14. What is the units digit of a? 6 Let k = 17 + 37. What is the units digit of k? 4 Suppose -5*r + 2 + 18 = 0. Suppose r*x + 4*j = 24, -2*x + 2*j = -x - 6. Suppose -3*l + m = -2, -m = 5*l - 0*l - x. What is the units digit of l? 1 Let o = -1 + 9. Suppose -7*f + o = -3*f. Let h(k) = 6*k - 1. What is the units digit of h(f)? 1 Let h(j) = 3*j**2 - 11*j + 8. What is the units digit of h(8)? 2 Suppose -63 = t - 4*t. What is the tens digit of t? 2 Let b(f) = -f**2 + f + 3. Let c be b(0). Suppose -m = c*m. What is the units digit of (-3 + m)/((-2)/6)? 9 Suppose 0*o = -4*b + o + 14, 4*b - 22 = -3*o. Suppose 5*m - 117 = -2*n, -b*n + 92 = 4*m - 2*n. What is the tens digit of m? 2 Suppose 5*d + 17 = -13. Let y = d + 10. What is the units digit of y? 4 Suppose a - 169 = -3*x, 2*a - 4*a + 318 = x. What is the units digit of a? 7 Let x(v) be the second derivative of v**4/4 - v**3/6 - 3*v. Let k be x(-1). Suppose 0 = -5*w + 2*w - p + 24, -2*w = k*p - 26. What is the units digit of w? 7 Suppose 0 = 3*g - g - 4. Let u(y) = 0*y - 5*y + g*y + 2*y - 4. What is the units digit of u(-6)? 2 Let s = -5 + 5. Suppose 4*o - h + 2*h - 20 = s, -4*o + 4*h + 40 = 0. What is the units digit of o? 6 Suppose -1 = 2*c - 11. Let v = c + 7. What is the units digit of v? 2 Let p(s) = -s**3 - 7*s**2 + 8*s + 5. Let z be p(-8). Suppose 0*t = -t + z*d - 15, -3*d = t - 9. Let k = 3 + t. What is the units digit of k? 3 Let l = 75 - -82. What is the units digit of l? 7 Suppose -84 = -n - 3*n. Suppose 4*i - n = i. Let j = i + -3. What is the units digit of j? 4 Suppose 2*y - 129 = -y. What is the tens digit of y? 4 Suppose -g = -4 - 2. Suppose -v = g - 33. What is the units digit of v? 7 Let i(o) be the third derivative of o**6/120 - o**5/5 + o**4/8 + 5*o**3/2 + 6*o**2. What is the units digit of i(12)? 1 Let s(u) = u**2 + 3*u + 5. Suppose 4*y = 20 - 4. What is the tens digit of s(y)? 3 Let n(h) = 32*h. What is the tens digit of n(11)? 5 Let k = 5 - -5. Let c be (-4)/k - 4/(-10). Suppose -z = -c*z - 7. What is the units digit of z? 7 Let o(q) = q**3 - 4*q**2 - 4*q + 6. Let l be o(5). Suppose -r + 0*r + l = 0. What is the units digit of r? 1 Let a = 73 - 26. What is the units digit of a? 7 Let s(o) = o**2 + 0*o**2 - 28*o + 1 + 21*o. What is the units digit of s(8)? 9 Let r be (-16)/(-7) - 2/7. Suppose 4*v - r*i - 11 = i, 3*v - 27 = -4*i. What is the units digit of v? 5 Let w = -1 + 3. Let j(d) = -d + w + d**3 - 2 + d**2. What is the units digit of j(1)? 1 Let o = 3 - 1. Suppose o*j + 0 = 8. What is the units digit of j? 4 Let w = -156 + 648. Suppose 144 + w = 2*c. What is the units digit of 4/18 + c/27? 2 Let r(p) = -7*p + 2. Let y be r(6). What is the units digit of 2/7 + y/(-7)? 6 Let f be (-2)/(1 + 0) - -8. Suppose -f*q = -q - 35. What is the units digit of q? 7 Suppose -4*y + 1 = 13. Let k(o) = -o**3 + 2*o + 1. What is the units digit of k(y)? 2 Suppose -2*j + 8 = -62. What is the tens digit of j? 3 Let n be 17 + (1 - (-1 - -3)). Suppose 2*r = -2*c - 2 + n, c + 2 = -4*r. What is the tens digit of c? 1 Suppose 3*c + 2 = -y + c, -3*c - 3 = -y. Suppose -24 = -2*x + 4*j, -x + y*x - 8 = 2*j. What is the units digit of x? 2 Let o = 2 + -3. Let r(p) = -49*p**3 + 44*p**3 - p + 2*p. What is the units digit of r(o)? 4 Let h(s) = -s**3 - 9*s**2 - 3*s - 12. Wh
{ "pile_set_name": "DM Mathematics" }
Suppose -10 = 3*b - 25. Suppose b*z - 49 - 286 = 0. What is the tens digit of z? 6 Let q = -1115 + 1922. What is the units digit of q? 7 Let u be (-5)/((-5)/(-2)) - -33. Suppose 48 = 2*g - 5*r - u, 0 = -3*g - 5*r + 181. What is the tens digit of g? 5 Suppose 36*i - 35*i - 66 = 0. Let h = 164 - i. What is the tens digit of h? 9 Suppose h - c - 8 = 0, -5*h + c + 18 = -6. Let j be 4*(-6)/(-32)*h. Suppose m - 3*m + 2 = -4*x, j*x + 19 = 5*m. What is the units digit of m? 5 Suppose -3060 = 8*h - 17*h. Let m = -205 + h. What is the tens digit of m? 3 Let m = 868 + -348. What is the hundreds digit of m? 5 Suppose -3*f - 4*o + 2498 + 29 = 0, -4206 = -5*f - o. What is the units digit of f? 1 Let q = 39 - 6. Suppose -q*h = -38*h + 785. What is the hundreds digit of h? 1 Let q = 144 - 142. Let k be -1 - (-10 + (-3 - 0)). Let j = q + k. What is the units digit of j? 4 Let o = -50 - -54. Suppose 0 = -5*m - 2*l + 283, m - 4*m + 181 = o*l. What is the units digit of m? 5 Let b(t) = -t**3 - 5*t**2 - 6*t - 1. Let z(r) = r**3 + 7*r**2 + 3*r + 17. Let x be z(-7). What is the units digit of b(x)? 7 Let s be (0 - -1) + 616/4. Suppose -4*c - 240 = -4*p, 5*c = -2*p + s - 21. What is the tens digit of p? 6 Suppose 0 = 3*a - 0*a - 6. Suppose 3*v + 3 - 7 = 4*f, -5*f = a*v + 5. Suppose -5*u + 44 = 4*l - 7*l, -2*l + 4 = v. What is the tens digit of u? 1 Let n(j) = 3*j**2 + 10*j + 14. Let t(b) = 7*b**2 + 21*b + 28. Let x(y) = 5*n(y) - 2*t(y). What is the units digit of x(-12)? 2 Let c(l) = l**3 + 16*l**2 + l - 51. What is the tens digit of c(9)? 8 Let w(v) = 63*v - 676. What is the tens digit of w(28)? 8 Suppose -2*k - 3*l = -18, 4*k + 3*l = 2*l + 16. What is the tens digit of (k - 4)/(1/(-31))? 3 Suppose -d + 3*d = 12. Suppose -c = 5*v - d*v + 54, 5*c + 160 = 3*v. What is the tens digit of v? 5 Suppose 0 = 4*m + 2*q - 566, -m + 144 = -2*q + 3*q. What is the units digit of m? 9 Suppose -4*c - 5*b + 544 + 241 = 0, 2*c - 400 = -4*b. What is the units digit of c? 0 Let n = 198 + -6. What is the hundreds digit of n? 1 Let v = 11 + -7. What is the units digit of 60/18 - v/(-6)? 4 Let j be (-1 + 38/(-10))/(12/60). What is the units digit of (-4)/(j/6)*299? 9 What is the tens digit of (5 - 23058/(-49)) + 6/14? 7 Suppose 5*s - 2*s - 2*j + 666 = 0, -687 = 3*s + 5*j. Let b = s + 353. What is the hundreds digit of b? 1 Suppose -12432 = 18*v - 62202. What is the tens digit of v? 6 Let t = -159 + 95. What is the tens digit of (t + 0)/(1 + -2)? 6 Let y = -24 + 29. Suppose 2*i = 4*a - 16, a = 3*i - 2 + 1. Let u = i + y. What is the units digit of u? 7 Let n = -872 - -1308. What is the tens digit of n? 3 Let h be (-3 - 0)/(3/9). Let p(w) = 5*w - 17. Let g(b) = b - 1. Let v(y) = 6*g(y) - p(y). What is the units digit of v(h)? 2 Suppose 0 = 3*u - 69 - 171. What is the units digit of u? 0 What is the units digit of (4/5)/4 + 231489/255? 8 Let b(j) = j + 9. Let z be b(6). Suppose 0*d = -5*d + z. What is the units digit of (d/5)/((-2)/(-10))? 3 Let f(i) = -63*i - 2. Suppose -2*k + 29 + 1 = 0. Suppose -8 = 2*z - 2*r, 0 = -2*z - z + 4*r - k. What is the tens digit of f(z)? 6 Let b(t) = t + 1. Suppose -3*s + 2*s = 1. Let w be b(s). Suppose 60 = -w*g + 4*g. What is the units digit of g? 5 Let q = -595 - -1998. Suppose -1054 - q = -13*r. What is the tens digit of r? 8 Let p(o) = -16*o - 29. Let c = 3 - 10. What is the tens digit of p(c)? 8 Suppose -2*i - 5 = 13. Let p be -111*3/(i/7). What is the units digit of p/28 + 1/(-4)? 9 Let m(o) = 21*o - 72. What is the tens digit of m(27)? 9 What is the tens digit of 733 - (-8)/6*3? 3 Let n be (0*4/(-4)*-1)/(-1). Suppose n = -2*u + 2*q - q + 39, -u + 4*q = -2. What is the units digit of u? 2 Suppose -3*d + 1103 = -17*f + 18*f, 0 = 4*f - d - 4360. What is the units digit of f? 1 Let u be 4 + 2/(0 - 1). Suppose 24 = u*h - 14. Suppose 7 - h = -2*t. What is the units digit of t? 6 Let l(y) = y**3 + 8*y**2 - 9*y + 10. Let j be l(-9). Suppose -3*b - 8 = j. Let o = 1 - b. What is the units digit of o? 7 Let d(c) = -22*c**3 + 4*c**2 + c + 13. What is the hundreds digit of d(-4)? 4 Let n(o) = -7*o**3 + 2*o**2 + 6*o + 2. Let f be n(-2). Suppose 24*u - 1050 = f. What is the tens digit of u? 4 Let y(l) = 3*l**3 - 5*l**2 + 11*l - 6. What is the units digit of y(5)? 9 Suppose 579*v + 4540 = 583*v. What is the tens digit of v? 3 Suppose -9*k + 4*k = -3*t + 3419, -2*t - 5*k = -2321. What is the hundreds digit of t? 1 Let w be (8/20)/((-1)/(-15)). Suppose -3*f - 2*d + 16 = f, 0 = -f + 2*d - w. Let g(j) = 3*j**2 + 2*j + 1. What is the tens digit of g(f)? 1 Let j = -29 - -29. Suppose 103 = 4*x - 3*i, 3*i + j*i + 15 = 0. What is the tens digit of x? 2 Let m(j) = 19*j**3 + 4*j**2 + 11*j - 72. What is the tens digit of m(6)? 4 Suppose 3*x - 343 = 368. What is the hundreds digit of x? 2 Let t be 4 - (-7)/((-21)/6). Suppose t*x = x - 2. What is the units digit of ((-6)/(-6))/(x/(-38))? 9 Suppose 3*i = 5*g + 2723, i + g = -259 + 1180. What is the tens digit of i? 1 Suppose -5*o - 18 = -83. Let n = 19 - o. Suppose -n*j + 4 = -4*i - j, 0 = i + 4*j - 20. What is the units digit of i? 4 Let b be (-1 + 5)*-2*3/(-6). Suppose 4*i + 78 = 2*y, -b*i - 242 = -5*y - 23. What is the tens digit of y? 4 Suppose -c - 120 - 84 = 0. Let s be 2*(1 + c/(-8)). Let v = s + -31. What is the units digit of v? 2 Let n(p) = -2*p + 2. Let a be n(-3). Let v = a - 2. Suppose v*q = q + 15. What is the units digit of q? 3 Let x be (-12)/(-4) + -1 + 9. Let v = 147 - x. Suppose -4*a - v = -8*a. What is the units digit of a? 4 Let n = 5 - 2. Let z(k) = -18*k - 7. Let v(u) = 288*u + 114. Let h(w) = -2*v(w) - 33*z(w). What is the tens digit of h(n)? 5 Let o = 5278 + -3767. What is the units digit of o? 1 Let n(p) = p**3 + 5*p**2 + 3*p - 7. Let r be n(-3). Suppose 0 = x, r*f - 10*x + 11*x = 416. What is the hundreds digit of f? 2 Let s(c) = -2*c**2 + 5*c - 2. Let l be s(3). Let v = l + -1. What is the tens digit of 10/(-15) + (-172)/v? 2 Let t be 3 + 2 + -4 - 4/(-1). Let x = 190 - t. What is the hundreds digit of x? 1 Let h(k) = 25*k**2 + 6*k - 81. What is the tens digit of h(5)? 7 Let u(m) = 2*m**2 - 14*m + 3. Suppose -5*f - s = -45, -f - 4*f + 5*s = -15. What is the tens digit of u(f)? 1 Let p(v) = 17*v**2 - 12*v + 38. What is the hundreds digit of p(6)? 5 Let m(a) = -a**2 + 18*a + 22. Let p be m(23). What is the tens digit of -3 + (-4 - p) + 1? 8 Suppose -8*q + 3716 = -11180. What is the thousands digit of q? 1 Let u be 2/(-3) + (-24)/(-9). Suppose 3*d = -3*i + 6, 3*i - 2*d - u*d - 13 = 0. What is the units digit of 42/(3*2/i)? 1 Suppose -2*v + 2164 = 2*q + 588, -3*v + 12 = 0. What is the units digit of q? 4 Suppose -8*p = -17*p + 5796. What is the hundreds digit of p? 6 Suppose -2*o + 0*o + 5*g = -6663, 4*o - 13286 = 2*g. What is the thousands digit of o? 3 Suppose -8 = -3*j + c, -j = 3*j - c - 11. Suppose 0 = -j*w - 6, 2*d + 2 = -3*d - w. Suppose d*y + 84 = 4*y. What is the tens digit of y? 2 Suppose k + 0*k = 5. Suppose v = -4*v + 4*f + 687, -5*v + k*f + 690 = 0. What is the tens digit of (-8)/28 + v/7? 1 Let y(d) = d**3 + 15*d**2 + 10*d - 12. Suppose -5*n - 85 = 5*a, -2*a - 3*n = 2*a + 68. Let g be (-28)/10*(22 + a). What is the tens digit of y(g)? 4 Suppose -4*g = 3*b - 7910, 18*b + 5285 = 20*b + 5*g. What is the hundreds digit of b? 6 Suppose -4*d + 93*h - 92*h + 9611 = 0, 0 = 3*d - 2*h - 7202. What is the hundreds digit of d? 4 Let n = -60 + 60. Let s(i) = -i**2 - 5*i + 25. Let v(w) = -w + 1. Let h(k) = s(k) - 4*v(k). What is the tens digit of h(n)? 2 Let m be -55 - 2/8*4. Let h = m - -128. What is the tens digit of h? 7 Let a(t) = -4*t**3 - 18*t**2 - 3*t + 15. What is the units digit of a(-7)? 6 Let x(q) = -2*q + 11. Let v be (-4)/(4/3) - 11. What is the units digit of x(v)? 9 Let j(k) = 5*k - 12. Let z be j(0). Let c(d) = -2*d**2 - 27*d - 19. What is the units digit of c(z)? 7 Let o(f) = -f**3 - 13*f**2 + f + 18. Let r = 22 - 39. Let a = -30 - r. What is the units digit of o(a)? 5 Suppose 0 = -46*h + 54*h - 336. What is the tens digit of h? 4 Suppose 5*t = 4*j + 2*t + 917, 0 = 5*t + 25. Suppose 7*h - 6*h + 7 = 0. What is the units digit of j/h - 4/14? 3 Let q = -138 - -74. Let n = q - -152. What is the tens digit of n? 8 Let q(w) = 3*w**2 + 6*w + 40. Let b be q(10). Suppose 0 = 2*f - 4*s - b, 2*s = 4
{ "pile_set_name": "DM Mathematics" }
e -28*i = -2932 + 2932 for i. 0 Solve -1369 + 289 = 135*r for r. -8 Solve 1210*y - 146 = 1188*y + 8 for y. 7 Solve 524 + 751 + 405 = -112*f for f. -15 Solve 99*z - 101*z + 22 = 0 for z. 11 Solve 191*c = 154*c + 85*c + 672 for c. -14 Solve -1204*a = -2416*a + 1210*a - 46 for a. -23 Solve -33*g = -18*g - 45 for g. 3 Solve 0 = -41*p - 28*p - 77 - 337 for p. -6 Solve -2672*v = -2322*v - 11900 for v. 34 Solve 785*a - 27860 = 2178*a for a. -20 Solve 0 = 21*x - 176 - 139 for x. 15 Solve 255*j - 3952 = 103*j for j. 26 Solve -252 = 6*h - 264 for h. 2 Solve -187*i - 172*i = -513 - 564 for i. 3 Solve 9*t - 3 - 15 = 0 for t. 2 Solve 43*d - 1734 + 706 = -125 for d. 21 Solve 15*u - 30 = 84 - 24 for u. 6 Solve -43*r + 676 = 19*r - 88*r for r. -26 Solve 11*q - 15*q + 30 = 11*q for q. 2 Solve -4944 = 25*m - 334*m for m. 16 Solve 36 = 27*p + 90 for p. -2 Solve 0 = -42*b - 20*b + 552 + 6 for b. 9 Solve -472*r + 655 - 931 = 4444 for r. -10 Solve -3457 = -119*w - 1553 for w. 16 Solve -3*i = -11*i - 38*i + 322 for i. 7 Solve -19*u + 5 + 111 = 325 for u. -11 Solve 139*w + 1134 + 534 = 0 for w. -12 Solve -876*u + 883*u = 231 for u. 33 Solve 5 = -55*k + 57 + 58 for k. 2 Solve -326 - 88 - 622 = 74*j for j. -14 Solve -216 = 3*i - 192 for i. -8 Solve -7673*d - 156 = -7685*d for d. 13 Solve 92*x = 119*x + 5 - 32 for x. 1 Solve -130*p + 895 = -52*p - 275 for p. 15 Solve -706*n + 703*n + 12 = 0 for n. 4 Solve -12446 = -21*c - 12047 for c. 19 Solve -49*h + 1007 = 1301 for h. -6 Solve 44*l = -42*l + 64*l + 286 for l. 13 Solve -408*i - 10061 = 177*i + 8074 for i. -31 Solve 2*f + 4*f = 5*f for f. 0 Solve -129*m + 178*m = 686 for m. 14 Solve 0 = 872*r - 865*r - 7 for r. 1 Solve -158 - 298 + 115 = -31*w for w. 11 Solve 40*h + 11*h - 816 = 0 for h. 16 Solve 6211 + 2262 = -1326*d - 3461 for d. -9 Solve 0 = -2*v - 164*v - 800 - 1856 for v. -16 Solve -4*s - 312 = -2*s + 10*s for s. -26 Solve -13*p - 6*p = 26*p + 135 for p. -3 Solve -5*o = -4760 + 4695 for o. 13 Solve 45*o + 443*o = 9272 for o. 19 Solve 48 = 51*t - 54 for t. 2 Solve -201*g = -389 + 1595 for g. -6 Solve 3*c - 15*c + 10 = -14*c for c. -5 Solve -53*k = 28*k + 21*k + 408 for k. -4 Solve 656 = -180*g - 1494 - 1990 for g. -23 Solve 429 - 19 = -41*j for j. -10 Solve 1251 = -64*o - 29 for o. -20 Solve -649 = -15*p - 724 for p. -5 Solve 0 = 15*r + 59*r - 48*r + 754 for r. -29 Solve 16*k = 20*k - 7*k - 12 for k. -4 Solve 1306 = -56*m + 466 for m. -15 Solve -36*z = -29*z + 26 - 75 for z. 7 Solve 10*f = -1684 + 1674 for f. -1 Solve 7*y = -2502 + 2586 for y. 12 Solve 0 = -6*x - 349 + 379 for x. 5 Solve 5503 = 33*k + 5041 for k. 14 Solve 46*v - 185 - 45 = 0 for v. 5 Solve 33*u + 7723 = 7195 for u. -16 Solve 0 = -152*w - 251 - 1117 for w. -9 Solve -26*o - 21*o - 350 = -12*o for o. -10 Solve 3*g + 3*g = -6*g - 84 for g. -7 Solve 0*t - 54 = -62*t - 240 for t. -3 Solve -3*s - 100*s + 750 = 22*s for s. 6 Solve -1257*d = -1787*d - 13250 for d. -25 Solve 20*l - 12490 + 12530 = 0 for l. -2 Solve -1091 = -83*o - 1257 for o. -2 Solve -9*m = -9650 + 9668 for m. -2 Solve 0 = 276*c + 2171 + 1041 + 100 for c. -12 Solve -197*z - 228 = -85*z - 2132 for z. 17 Solve 0 = -1525*q + 1871*q - 11072 for q. 32 Solve 367*i - 308 = 395*i for i. -11 Solve 523 = -153*q - 2873 + 30 for q. -22 Solve 10*r - 188 + 138 = 0 for r. 5 Solve 324*a + 6250 = 949*a for a. 10 Solve 167*d - 400 = 461 + 141 for d. 6 Solve 75*m = -124*m + 34*m - 1980 for m. -12 Solve 4*j + 82*j - 1100 = 1222 for j. 27 Solve 0 = 20*b - 60 + 220 for b. -8 Solve -15*d = -4*d - 74 + 85 for d. -1 Solve 55*o = -92*o + 24*o + 1722 for o. 14 Solve -40 = 15*o - 35*o for o. 2 Solve -44*z + 737 = 17*z - 788 for z. 25 Solve -1014 = -714*p + 792*p for p. -13 Solve -1107 + 981 = -18*h for h. 7 Solve -239 = 7*j - 37*j - 29 for j. 7 Solve -4*x + 17*x - 70*x - 399 = 0 for x. -7 Solve 0 = -11606*h + 11597*h + 100 - 28 for h. 8 Solve 123*h = 7 - 64 - 66 for h. -1 Solve 45*u = 507 - 777 for u. -6 Solve 47*h + 311 = 85*h + 45 for h. 7 Solve -367 - 865 = 112*n for n. -11 Solve 107 + 53 = -32*t for t. -5 Solve 0 = -30*g + 11*g + 190 for g. 10 Solve -186*z + 236 + 1252 = 0 for z. 8 Solve 0 = 55*z + 180 - 675 for z. 9 Solve -1203 = 38*j - 1697 for j. 13 Solve 0 = -65*o - 154*o - 173*o + 2744 for o. 7 Solve 0 = 32*h + 530 - 431 + 445 for h. -17 Solve 462 = -33*t - 0 for t. -14 Solve 12673*s - 4176 = 12934*s for s. -16 Solve -4395 + 4311 = -14*t for t. 6 Solve -117 = -65*j + 78*j for j. -9 Solve 310614*x = 310596*x - 234 for x. -13 Solve -147*b - 63*b + 772 = -17*b for b. 4 Solve 5*c + 237 = 100 + 227 for c. 18 Solve -399 + 347 = 26*l for l. -2 Solve 125 = 2*p + 141 for p. -8 Solve 313*n - 244*n - 112 = 95 for n. 3 Solve 0*n - 18 = -2*n - 16 for n. 1 Solve -n + 15488 = 15473 for n. 15 Solve -56*z - 910 - 332 + 178 = 0 for z. -19 Solve -1464 = 1060*d - 196*d + 6312 for d. -9 Solve -3558 - 871 = -290*p + 1371 for p. 20 Solve -54 + 89 = -35*b for b. -1 Solve -174*g + g + 1730 = 0 for g. 10 Solve 74 = -76*y + 105 + 653 for y. 9 Solve 0 = 399*q - 23*q + 2632 for q. -7 Solve 0 = 221*k - 148*k + 803 for k. -11 Solve 122*q - 320*q = 3960 for q. -20 Solve -672*n + 648*n = -336 for n. 14 Solve 258*x - 272 = 224*x for x. 8 Solve 18*o - 24 - 676 = -52*o for o. 10 Solve -37*u = 10 - 232 for u. 6 Solve 262 = -11*w + 62*w + 670 for w. -8 Solve -49*x - 4488 = -759*x + 7582 for x. 17 Solve -131 - 1611 = -134*l for l. 13 Solve 4*u = -67*u + 2059 for u. 29 Solve 34*r - 13*r = 14*r + 21 for r. 3 Solve 23*v + 47 + 63 = -5 for v. -5 Solve 126 = -245*c + 203*c + 1596 for c. 35 Solve -42*p + 40 + 69 = 25 for p. 2 Solve 20*j + 656 = 4*j - 25*j for j. -16 Solve -97*s + 1189 + 794 = 237 for s. 18 Solve 19713*h - 19742*h = 0 for h. 0 Solve 0 = -220*r + 207*r - 247 for r. -19 Solve -263755*i + 263824*i + 483 = 0 for i. -7 Solve 6246*j - 2632 = 6434*j for j. -14 Solve -41 = 3*g + 5*g - 201 for g. 20 Solve -2*f + 90 = 3*f - 15*f for f. -9 Solve 1026 = 3546*h - 3508*h for h. 27 Solve -7255*h + 7267*h = -216 for h. -18 Solve 14*o + 52*o + 33*o = 18*o for o. 0 Solve -3943*y + 3890*y + 265 = 0 for y. 5 Solve -1665*b = -1722*b - 513 for b. -9 Solve 591*t + 4863 = 3101 - 10649 for t. -21 Solve -143*k + 294 = -166*k - 120 for k. -18 Solve 336*q - 186*q - 174 = 208*q for q. -3 Solve 0 = 17*i + 63*i - 12*i + 476 for i. -7 Solve 5 = 5*s - 23 + 3 for s. 5 Solve 1801 - 241 = -665*p + 725*p for p. 26 Solve 88*v = -175*v - 2133 - 1023 for v. -12 Solve -6337*i + 6353*i - 128 = 0 for i. 8 Solve 104 = -19*v + 56*v - 29*v for v. 13 Solve -30*b + 59 + 301 = 0 for b. 12 Solve 1181 = 148*t + 565 - 1012 for t. 11 Solve 0 = -2081*q + 2098*q - 340 for q. 20 Solve -168*o + 174*o - 12 = 0 for o. 2 Solve -846*j + 870*j - 384 = 0 for j. 16 Solve 153*g - 17 = 2323 + 1485 for g. 25 Solve 0 = -6*q + 10*q - 153 + 177 for q. -6 Solve 614 - 223 + 169 = 28*j for j. 20 Solve 0 = 318*w - 224*w + 1410 for w. -15 Solve 465*n - 924*n = -463*n + 36 for n. 9 Solve -86*o = -111*o - 250 for o. -10 Solve -231*v - 1251 = 3369 for v. -20 Solve -22179 = -52*v - 21243 for v. 18 Solve 21*v + 2*v = 187*v + 1312 for v. -8 Solve 69*j + 53*j = 536 + 1050 for j. 13 Solve 393*n - 71*n = 7084 for n. 22 Solve 25 = 31*y + y - 7*y for y. 1 Solve 2*y - 35*y = 93 + 435 for y. -16 Solve 31*y + 450 = -19*y for y. -9 Solve 132*y - 361 = 303 - 136 for y. 4 Solve -18*x - 13*x + 8*x + 552 = 0 for x. 24 Solve 8*y - 144807 = -144815 for y. -1 Solve 7*k = -242*k - 1179 + 3420 for k. 9 Solve 373*o = -157*o + 5300 for o. 10 Solve -53*k + 255 = -275 for k. 10 Solve 6*g - 4*g + 26 - 44 = 0 for g. 9 Solve -59*b + 0*b - 16*b - 1500 = 0 for b. -20 Solve 0 = -185*a - 270*a - 295*a for a. 0 Solve 0 = l - 1732 + 1737 for l. -5 Solve -4*a - 1648 = -23*a - 1401 for a. 13 Solve -28 + 16 = 2*d for d. -6 Solve 410*l = 974 + 6770 + 1686 for l. 23 Solve -5501 = 184*l + 47*l - 419 for l. -22 Solve 41*b = 10*b - 11*b - 504 for b. -12 Solve -553*l - 7508 - 14281 = 254*l for l. -27 Solve -1054*w + 1099*w = -720 for w. -16 Solve 0 = -99*w + 21*w + 40*w + 152 for w. 4 Solve -7 + 18 = 5*x - 4 for x. 3 Solve 6565 - 4967 = 94*k for k. 17 Solve 713*m + 4566 = 29521 for m. 35 Solve 12*a - 59 = -74 - 249 for a. -22 Solve -695 + 188 = -39*x for x. 13 Solve 201*f - 95*f = -258*f - 728 for f. -2 Solve -27 = -79*p - 90*p - 365 for p. -2 Solve 58
{ "pile_set_name": "DM Mathematics" }
2. Let u = q + 5. Let t be (u/(-8))/((-1)/(-8)). Solve 3 = d, -5*d = -g + 8 - t for g. 3 Suppose 2*b + 203 - 211 = 0. Solve -b*i + 4*m - 1 + 5 = 0, -3*i = 4*m - 3 for i. 1 Let p = 78 + -19. Let w = p - 56. Solve -l - w*j - 2*j = 23, 8 = -2*j for l. -3 Suppose -o = -4*p + 30, -4*o = -2*p + p. Suppose 0 = -9*b + 4*b. Let m(j) = -3*j - 22. Let d be m(-8). Solve 2*n + d*n + 4 = -4*k, -4*n - 2*k - p = b for n. -3 Suppose p = 6*p. Suppose b + 2*b - 96 = p. Let s = b + -27. Solve 3*y + 3 = s*j, -3*j - j = 0 for y. -1 Suppose -123 + 531 = 4*n. Let l = -98 + n. Solve 2*v - 12 = v - 5*k, 3*v = l*k - 2 for v. 2 Let m(l) be the second derivative of 1/3*l**3 + 12*l**2 + 0 + 15*l. Let p be m(-12). Solve p = -5*x + 10, o = -6*x + x + 15 for o. 5 Suppose 0 = 6*c - 2*c + c. Solve -5*g = 2*j + 2*j - 3, c = -4*j + 4*g + 12 for j. 2 Let m = -155 + 168. Solve 3*g - 6*k = -k - 34, g + m = 2*k for g. -3 Let r = 8 - 3. Suppose 5*f = 2*u + 40, f + 4*u - 70 = -4*f. Suppose -f = -0*m - 2*m. Solve 0 = -y - r*k + m, 0*k = 2*y + k - 1 for y. 0 Let s(y) = y**3 - 9*y**2 + 24*y - 16. Let p be s(5). Let q be (2 - 0)*(5 + -1). Solve -8 = -p*n - 4*i, -3*n + i = -2*n + q for n. -3 Suppose -651 + 99 = t. Let w be (0 + 1 - 0) + t/(-24). Solve -5*o - 4*s = 3, -5*s + 9 = -5*o + w for o. 1 Suppose 98*z - 91 = 3045. Solve 2*s + 12 = 2*t - 3*s, 0 = 5*t + 3*s + z for t. -4 Let n be -4 + 2 + (-2 - -2). Let k be n*(9/(-2) + 3). Suppose 0 = 2*v - 2*r + 6*r - 80, 3*r = k*v - 102. Solve 0 = f - 4*p - 20, 5*p + v - 12 = f for f. 4 Suppose -3*d = -6 - 9. Suppose 2*y - d*y + 12 = 0. Solve 0*n + 4*n = -3*s + 22, -y = -2*s for n. 4 Let s be ((-12)/(-15))/((-2)/10). Let z be (-5)/10*s/2. Let w be (-407)/(-44) + z/(-4). Solve n = -4*k + w, 0*k + 3 = n + k for n. 1 Let u = 609 + -609. Solve 0 = 4*r + s + 8, 2*r + r + 4*s + 6 = u for r. -2 Let d be 3/(-5)*(19 + -24). Suppose -p + g = -g - 13, 5*p + d*g - 13 = 0. Solve -p*u = 5*n + 25, 0*u = 3*u - 2*n - 10 for u. 0 Let q be (186 + -189)/(1*(-1)/3). Solve 5*w - 5 = -2*o + q, 2*w + 5*o = -7 for w. 4 Suppose 0 = 3*h - 7 - 5. Suppose 33 = m - 13. Let j = -29 + m. Solve 2*f = -5*s + j, h*f + 31 = -0*f + 3*s for f. -4 Let m = 40 - 28. Let d be (-246)/(-8) + (-9)/m. Let n be 200/d - 1/(-3). Solve q = 5*b + 9, b - 5*b + q = n for b. -2 Suppose -17*t = -13*t. Let d = -5 - -7. Suppose -2*w - 2*y = -13 + 5, t = -d*y + 2. Solve w*g = -3, 4*b = 5*b + 3*g + 6 for b. -3 Let x be ((-9)/(-6))/((-5)/(-50)). Suppose 28 = -11*c + x*c. Solve c = -4*f + o, -2*o - 32 = 4*f + 2*o for f. -3 Suppose 5*u - 3*u = -4*u. Suppose -9*p + 8*p + 4 = u. Solve -2*k - 4 = c - 0*k, 0 = 2*c - p*k + 8 for c. -4 Let m(t) = -5*t + 14. Let p be (-1)/(2/8 + 6/(-8)). Let s be m(p). Solve -s*v + d = 6*d + 21, -3*d = 5*v + 23 for v. -4 Suppose 3*x - 35 = -2*x + 5*q, 4*q = 3*x - 24. Let y = -80 + 89. Suppose 0 = 2*b - 19 + y. Solve x*z - l - 3*l + 16 = 0, 2*z + 5 = b*l for z. -5 Let r = -1838 + 1840. Let w be (2 + -1)/((-3)/(-12)). Solve y = -5*j - 0*y + r, -w*j + 7 = -y for j. 1 Let a(q) = -2*q + 34. Let z be a(16). Suppose -z*w - 4*u = 10, -7*w + 4*u = -3*w - 28. Solve 4*j = -i + 4*i + 7, -17 = -2*j - w*i for j. 4 Let y(l) = -l**3 + 7*l**2 + 9*l - 3. Let z be y(8). Suppose 2*v = z*v - 12. Solve 2*x - a - 20 = 3*a, x = -v*a - 20 for x. 0 Suppose 4*x + 160 = -3*s, 0 = 2*x - 5*s + 60 - 6. Let m = -18 - x. Let q be 6/24 + m/4. Solve 3*r - 2*i = 2*i - 14, q*i = 4*r + 17 for r. 2 Suppose 0 = 2*w + 8 - 0. Let m be (-2 - w) + (-2)/(-2). Solve 2*i + i + 4*s - 16 = 0, 2*i + m*s - 12 = 0 for i. 0 Let t(m) = -3*m - 4 + 3*m**2 + 3 + 0. Let k(o) = -o**3 + 2*o**2 + 2*o - 1. Let x be k(2). Let i be t(x). Solve 11 = -2*a - q, 5*a + 6 = 2*q - i for a. -5 Suppose 0 = -5*y + 210 - 195. Solve y*i + 0*j = 2*j + 15, -2*j = 0 for i. 5 Suppose -5*m + i + 4*i + 45 = 0, -15 = -m + 4*i. Solve 0 = -3*j - 9, 4*j + 10 = -g - m for g. -5 Let m be (2/(-2) - 1) + -10. Let h be ((-40)/m)/(4/6). Solve 2*j - 6 = 0, -3*l + h*j = -2*l + 10 for l. 5 Suppose -67 - 11 = -26*x. Solve 0 = -2*u - 4*m - 24, -8 = -x*u + 4*u + m for u. -4 Let b = 104 + -101. Suppose -b*x = p - 3, 5*p = x - 15 - 2. Solve 11 = -4*f + z - 6*z, x*f + 1 = -z for f. 1 Suppose 3*v - 7 = -q, 10*v + 17 = 5*q + 7. Solve 5*o - 17 = 4*c, -c - 2*c = 5*o + q for o. 1 Let c = 11 + -10. Suppose k = 4*h - 0 - 4, -k + h - c = 0. Suppose -b - 3*b + 20 = k. Solve z + d + 1 = 0, 3*z = -2*d - b + 1 for z. -2 Let o be (-8)/14*(-14)/4. Let n be (-15)/(-2)*(-13 - (-656)/48). Solve 5*m = -5*d + n, -6*d + o*m = -d + 2 for d. 0 Suppose 2*l = -14 + 36. Let a = 13 - l. Solve s = a*s - 5*r + 4, 0 = -4*r for s. -4 Let r(l) = l**2 - 4*l + 5. Let c be r(4). Let x be (51/9 + -5)*(-6)/4. Let g be (-1 - 0/(-1) - x)/2. Solve 5*h - s - s = -7, -5*s + c = g for h. -1 Let b(z) = z + 2. Let j(x) = -x + 3. Let h be j(5). Let t be b(h). Let p(q) = -q**2. Let u be p(0). Solve -a + m - 2 + t = u, m = 3 for a. 1 Suppose 0 = -3*q - 6. Let g be (11/11)/(q/4). Let o be 0*((-20)/8 - g). Solve -u + o*u + 9 = 2*m, 0 = -5*m + 5*u for m. 3 Suppose 2*k - 16 = y, 4*k - 2*k - 4 = -2*y. Let h(b) = b**2 + 10*b + 13. Let n be h(-9). Solve -g + k = t, -5*t + 0*g + 28 = n*g for t. 4 Let a be (-8)/(-5) - 2*(-1)/5. Let p be ((-1)/3 - -1)/(a/54). Solve -r - 4*k = p, -4*k - 13 - 9 = 3*r for r. -2 Let b(g) = g**3 - 15*g**2 + 4*g + 21. Let d be b(15). Let f = 85 - d. Solve -4*w + 3*q - 5 = -34, w + 3*q + f = 0 for w. 5 Let h = -149 - -152. Solve -2*g + n - 4 = 0, h*g - 3*n = -5 + 2 for g. -3 Let a(i) = -61*i + 736. Let f be a(12). Solve -5*y + 9*y - f*m - 24 = 0, -m = 3 for y. 3 Suppose -4*o + 5*l - 4 = 14, 3*o = 5*l - 11. Let g(w) = w**3 + 9*w**2 + 13*w - 4. Let b be g(o). Solve -3*v + 9 = -3*c - 6*v, -7 = 5*c - b*v for c. -2 Let c be (-2)/(-6) - (-628)/(-3). Let t be (-6)/8 + c/(-76). Let d = -1 - -3. Solve n + 6 = 2*q, 3*q - 19 = d*n + t*n for q. 1 Suppose 0 = 2*k + 4, 4*b - 4*k = -2*k + 4. Solve 4*o + 16 = -4*q, -11 + b = 5*o + 2*q for o. -1 Let u = 103 - 99. Solve -u*x - 3*z = -32, -4*x + 0*z + 3*z = -8 for x. 5 Let t be (-2 + -1)*68/(-6). Solve -3*s = -5*i - t, -2*i - 4 = -s + 9 for i. -5 Let h = 54 - 38. Suppose 44 = 7*w + h. Solve -6 = -q - 2*b, -8*b + w*b + 12 = 4*q for q. 0 Let f = -94 + 103. Suppose -5*q + 2*d = -15, 0 = -3*q - 4*d + 7*d + f. Solve y - 4 + 17 = 4*w, -5*y - q*w + 4 = 0 for y. -1 Let o be -2 - 3/(-2) - (-574)/28. Solve 5*u = -5*x - o, 5*x = 7*x + 4*u + 16 for x. 0 Let a be 6/9 - (-14)/6. Let f be (-5)/10*12 - (-10 + -10 + 10). Solve 4*h + 9 = 21, -f*b - h + a = 0 for b. 0 Suppose 32 = 19*n - 11*n. Solve -4*m - 4*x - 2 = 6, 5*m - n*x = 8 for m. 0 Let t(k) = k - 7 + 3 + 1 + 8. Let v be t(-3). Solve -v*g - 5*s = -4*g - 22, 2*s = g + 9 for g. -1 Suppose 0 = -3*g + 4*g + 5*s - 48, 104 = 4*g - 2*s. Let m be (9 + -4)/(4/(-8)). Let l be ((-5)/m)/(2/g). Solve 5*z = 4*n + 23, 2*n - z - 7 = l*n for n. -2 Let b(r) = r**2 - 7*r + 15. Let y be (-10)/(-7)*63/18. Let v be b(y). Solve 1 = -2*i + 4*q - 1, 5 = -5*i - v*q for i. -1 Let x(d) = -8*d + 60. Let o be x(18). Let z be 16/36 - o/54. Solve -12 = 3*s, -2*b + 0*s + 18 = -z*s for b. 5 Suppose -11*z + 43 = -23. Suppose -45 = -0*k - 5*k. Let q = k - z. Solve -4*r - 5*n + 3 = 0, -5*n + q*n + 3 = r for r. -3 Let y = -135 - -101. Let t = y - -46. Solve -3*g = -t, f = 3*g - 0*g - 17 for f. -5 Suppose -c - 5*u = -48, -2*c + 74 = -u + 22. Solve -2*q = x, c = -4*x + 12 for q. 2 Let j = -475 + 477. Solve 3*f + 5*t - 7 = 1, 0 = -j*f - 2*t for f. -4 Let u = 1185 - 1183. Solve -u*g - 5*z + 16 = -g, 5*z = 3*g + 32 for g. -4 Suppose 25*u - 134 = 116. Solve 11 = -4*g - v, 0 = -g + 2*v - u - 4 for g. -4 Suppose -5*j - 12 = -9*j. Suppose -4*a = 1 + 15, 4*z - j*a - 28 = 0. Solve -4*x + 2*p = -0*p - 16, -z*x = 2*p - 8 for x. 3 Let l = -325 + 338. Solve -4*y - 37 = -y - 5*a, 5*a - l = -3*y for y. -4 Suppose 31*u - 388 = -233. Solve -g + 3*b = -u, -1 = 3*g - 5*b - 4 for g. -4 Let o be ((-70)/(-15))/(4/6). Let q = 7 - o. Let v(r) = r**3 + r**2 + r + 1. Let x be v(q). Solve -3*m + 17 = -2*a, -2*a - m = 6 - x for a. -4 Suppose -64 = -10*u + 2*u. Solve -3*m = 2*m + l - 16, u = m + 5*l for m. 3 Let i be (-2)/(-10) + (-2)/10. Suppose 0 = -20*w + 19*w + 17. Let h = -5 + w. Solve 4*s = h, 4*x - 2*s + 0*s - 2 = i for x. 2 Let w be ((-6)/(-8))/(2/8). Suppose 0 = 9*u - 51 - 30. Suppose 11 + u =
{ "pile_set_name": "DM Mathematics" }
58*y**2 - 59*y**2 - 181*y**3 wrt y. -1086 What is the second derivative of 3251*t**2 - 9*t - 18 + 31*t + 34 + 17*t wrt t? 6502 What is the derivative of -6539*a**2 - 8526*a + 8526*a + 2336 + a**3 wrt a? 3*a**2 - 13078*a Let p(x) be the second derivative of -53/2*x**4 + 0 + 0*x**2 + 145/6*x**3 - 292*x. Find the second derivative of p(k) wrt k. -636 Let l = -39787/2 + 19895. Let z(i) be the third derivative of 0 + 0*i**4 + 2/5*i**5 + 0*i - 16*i**2 - l*i**3. What is the first derivative of z(n) wrt n? 48*n Let i(t) be the second derivative of -561*t**5/2 + 2892*t**2 + 762*t - 1. Differentiate i(f) wrt f. -16830*f**2 Find the third derivative of 3344*o**2 - 7*o**6 + 989*o**5 - 11*o**4 + 11*o**4 - 1018*o**5 wrt o. -840*o**3 - 1740*o**2 Suppose -124*n - 21 = -127*n. Find the first derivative of -23*q + n*q + 162 - 9*q + 3*q + q wrt q. -21 Let r(h) be the first derivative of -34 - 1/2*h**2 - 9/2*h**4 + 1/3*h**3 + 0*h. What is the second derivative of r(s) wrt s? -108*s + 2 Find the second derivative of -56*q**3 + 557*q - 29*q - 921*q**2 + 920*q**2 - 2 wrt q. -336*q - 2 Let p(s) be the second derivative of -224*s**7/3 - 4*s**3/3 - 3*s**2 + 48*s - 12. Find the second derivative of p(u) wrt u. -62720*u**3 Suppose -18*j = 20 - 110. Find the third derivative of 33*b**j + 91*b - 120*b**6 - b**2 - 33*b**5 + 38*b**6 wrt b. -9840*b**3 Let z(b) = -25*b - 48. Suppose -36*h + 6 = -37*h. Let a(l) = -77*l - 143. Let p(w) = h*a(w) + 17*z(w). What is the first derivative of p(j) wrt j? 37 Let g(y) be the second derivative of 0*y**3 + 0*y**5 + 1/6*y**4 + 17/10*y**6 - 5/2*y**2 + 2 - 85*y. What is the derivative of g(p) wrt p? 204*p**3 + 4*p Let v(a) be the second derivative of 1667*a**4/6 - 5731*a**3/3 - 10910*a. Find the second derivative of v(j) wrt j. 6668 Let s(o) be the third derivative of 3167*o**4/12 + 572*o**3 + 12*o**2 + 2*o + 6. Differentiate s(f) with respect to f. 6334 Suppose -m + 2898 = 13*m. Find the third derivative of 5646*s + 173*s**6 + 5651*s - m*s**2 - 11297*s wrt s. 20760*s**3 Suppose 0 = -j + 9 - 1. What is the derivative of -43*z**3 + j + 83*z - 83*z + 111*z**3 wrt z? 204*z**2 Let f(u) be the first derivative of -50 + 0*u**2 + 2*u + 48*u**4 + 43/3*u**3. Find the third derivative of f(g) wrt g. 1152 What is the first derivative of 1563 + 9921*t**3 + 2001 - 1040*t**3 - 741 wrt t? 26643*t**2 Let g(l) = -1172*l**4 - 3*l**3 - 5402*l**2 - l. Let b(o) = o**4 - o**3 + o**2 - o. Let m(v) = -b(v) + g(v). What is the third derivative of m(s) wrt s? -28152*s - 12 Let y(t) = 384*t + 134. Let v(d) = 1155*d + 403. Let h(o) = -3*v(o) + 8*y(o). Let j(u) = -196*u - 69. Let q(c) = -2*h(c) + 5*j(c). Differentiate q(z) wrt z. -194 Let s = 1214 - 1214. Let i = -1 - -3. What is the third derivative of -2*d**6 - d**6 + 69*d**i - 55*d**2 + s*d**6 wrt d? -360*d**3 Let d(w) be the second derivative of 1019*w**4/4 + w**3/3 - 79*w**2 + 3*w + 11. What is the second derivative of d(l) wrt l? 6114 Suppose -32 = -17*b + 9*b. Differentiate -47 - 102*z**4 + 103*z**b + 16*z - 5 with respect to z. 4*z**3 + 16 Let k(r) be the third derivative of -r**5/30 + 113*r**4/3 - 35*r**3/3 + 201*r**2 + 3*r. What is the first derivative of k(u) wrt u? -4*u + 904 Let d(v) = -12*v + 43. Let t(m) = -m**2 + 31. Let i be t(5). Let l(p) = -13*p + 41. Let r(c) = i*d(c) - 5*l(c). Differentiate r(k) wrt k. -7 Let v = 322 - 294. What is the second derivative of 4*q**2 + v*q**4 - 687*q - 4*q**2 + 812*q wrt q? 336*q**2 Suppose 7*x + 22 = 8. Let y be (-42)/(-8) - x*(-1)/8. Find the third derivative of 25*r**y - 3*r**5 - 20*r**2 - 2*r**5 wrt r. 1200*r**2 Let r(v) be the second derivative of 337*v**4/12 + v**3/3 - 527*v**2/2 - v + 504. Find the second derivative of r(j) wrt j. 674 Let f(w) be the third derivative of 0*w**7 + 0*w**6 + 0*w**5 - 33*w**2 + 9/8*w**4 + 9/56*w**8 - 1/3*w**3 + 0 + 0*w. What is the second derivative of f(v) wrt v? 1080*v**3 Differentiate 81*a**4 + 0*a**2 + 3259 + 13190*a - 6*a**3 - 6594*a - 6596*a - a**2 with respect to a. 324*a**3 - 18*a**2 - 2*a Let o(v) = v + 2. Let u(i) = 71*i - 20. Let w be 48/(-28)*(-35)/10. Let s(m) = w*o(m) - u(m). Find the first derivative of s(t) wrt t. -65 Let n(s) = 3*s**2 - 2*s + 1. Let p be n(1). Find the second derivative of -5064*b + 5114*b + 7*b**p + 4*b**2 - 5*b**3 wrt b. -30*b + 22 Let o(h) be the first derivative of 221*h**7 + h**5/5 + 318*h**3 - 2477. Find the third derivative of o(i) wrt i. 185640*i**3 + 24*i Let w(v) = -74*v**4 + 8*v**3 + 3702*v**2 + 5*v - 11. Let m(r) = -r**4 + r**3 + r - 2. Let f(c) = -5*m(c) + w(c). What is the third derivative of f(q) wrt q? -1656*q + 18 Find the second derivative of 1952*l - 977*l - 1124*l + 742*l**2 wrt l. 1484 Let i(w) be the first derivative of w + 0*w**3 + 17/2*w**2 - 171/4*w**4 - 37. Find the second derivative of i(k) wrt k. -1026*k Let p = -22 + 28. Differentiate 26 + 114 + 2 + 160*d**3 + p*d**3 with respect to d. 498*d**2 Let k be 12/16*32/12. What is the third derivative of 75*i**k - 188*i**2 + 88*i**2 - 130*i**3 wrt i? -780 Let h(g) = -g**4 + g**3 + 2*g**2 - 2*g. Let r(c) = 3*c**4 - 2*c**3 - 54*c**2 + 4*c - 2046. Let f(m) = -2*h(m) - r(m). Differentiate f(y) with respect to y. -4*y**3 + 100*y Let u(y) be the first derivative of 917*y**4/2 + y**3 - 884*y + 6892. What is the third derivative of u(i) wrt i? 11004 Let r(h) be the third derivative of 143*h**8/84 + 7*h**5/20 - 8*h**3/3 - 1326*h**2. Find the third derivative of r(k) wrt k. 34320*k**2 Let j(o) = 16*o**4 - 9*o + 8. Let c(g) = 32*g**4 + g**2 - 21*g + 15. Let k(i) = 5*c(i) - 9*j(i). What is the second derivative of k(d) wrt d? 192*d**2 + 10 Let i(a) be the third derivative of -247*a**9/168 + 43*a**5/4 + a**3/6 + 2502*a**2. What is the third derivative of i(w) wrt w? -88920*w**3 Let u(s) be the first derivative of -705*s**2/2 + 189*s + 172. Differentiate u(h) with respect to h. -705 Suppose -7 - 17 = 4*w. Let b be w*(-5)/(-18)*-3. What is the third derivative of -223*j**3 + 10*j**5 - 15*j**2 - 2*j**b + 223*j**3 wrt j? 480*j**2 Let d(z) be the second derivative of 0*z**3 - 1 - 67/12*z**4 - 199/2*z**2 + 13*z. Find the first derivative of d(o) wrt o. -134*o Let l(x) be the third derivative of 0*x + 248*x**2 + 0 + 0*x**5 + 0*x**4 + 0*x**6 - 7*x**3 + 97/105*x**7. What is the first derivative of l(n) wrt n? 776*n**3 Let y(h) = 8502*h**2 + 2*h + 8947. Let g(z) = -17010*z**2 - 5*z - 17888. Let o(j) = 2*g(j) + 5*y(j). What is the derivative of o(f) wrt f? 16980*f Let l = 57 + -43. Suppose -9*n = -l - 49. Differentiate -v + 3 + v + n - 5*v with respect to v. -5 Let m = -240 + 243. Find the third derivative of 48*t**4 + t + t**3 - 2*t**2 - t - 3*t**3 + m*t - 7*t wrt t. 1152*t - 12 Let t(i) be the second derivative of 0*i**3 + i + 27/2*i**2 - 36 + 5*i**4. Differentiate t(s) wrt s. 120*s Let z(s) be the third derivative of 314*s**7/105 - s**6/60 + 655*s**3/6 - 850*s**2. Find the first derivative of z(m) wrt m. 2512*m**3 - 6*m**2 Suppose -5*b + 276 = 31. What is the derivative of -60 - 7 + 8 + b*j**4 + 5 wrt j? 196*j**3 Let b(q) be the third derivative of 37*q**6/120 + q**4/8 + 192*q**3 + 665*q**2. Differentiate b(w) wrt w. 111*w**2 + 3 Suppose 0 = -15*w + 16*w - 14. Find the second derivative of -w*z + 3*z**2 - 228 - 3*z**3 + 228 + z**2 wrt z. -18*z + 8 Let q(c) be the third derivative of -785*c**8/112 + 3*c**4/8 + 11*c**3 - 4552*c**2. Find the second derivative of q(u) wrt u. -47100*u**3 Let l(m) be the second derivative of 75*m**2 + 11*m + 0 - 51/2*m**3. Find the first derivative of l(v) wrt v. -153 Suppose 2 - 32 = -15*f. Find the second derivative of -31*g**2 - 96*g**2 + 8*g**f + 35*g + 4 - 38*g**2 - 3*g**2 wrt g. -320 Let n(o) = 15*o + 9. Let z be n(-3). Let i be z/(-2)*((-10)/3)/(-5). Find the third derivative of 3*t + i*t**2 - 10*t**3 - 3*t - t**2 wrt t. -60 Let x(j) be the first derivative of 1/3*j**6 + 0*j**3 + 48/5*j**5 - 36*j**2 + 0*j + 0*j**4 + 193. Find the second derivative of x(a) wrt a. 40*a**3 + 576*a**2 Let w = 64 + -64. Suppose -3*g + 20 + 19 = w. Find the first derivative of -g*y - 11 - 16*y + 51*y wrt y. 22 Suppose -3*d = -2*a - 45, -4*d + 6 = -3*a - 54. Suppose -2*x + d = 5*i - 10, 4*x + 6 = -2*i. What is the second derivative of -i*v - 20*v - 20*v**4 - 5*v wrt v? -240*v**2 Suppose -340 = -15*l + 290. What is the second derivati
{ "pile_set_name": "DM Mathematics" }
positive. v**(-13670/609) Simplify ((v**(-1)*v*v**(-2/27)/v)/(v*((v/(v**0*v))/v)/v)**(-18))**(-3) assuming v is positive. v**(515/9) Simplify ((w/(w/(w/((w/(w/(w*w**0)))/w))))**(-16)/(w*w**(2/7)/w)**(-4))/((w/w**3*w**(-3))/((w*w**(-5))/w*w*w**4/w*w)) assuming w is positive. w**(-69/7) Simplify a*a/(a/((a/(a/a**(-3/8)))/a*a))*a*a**(-2/3)*(a/a**1)**(5/6)*(a**(1/4)/a)/(a*(a**1/a)/a)*a**(2/21)*a**1 assuming a is positive. a**(73/56) Simplify (h**(-16)*h)/((((h/(h**(10/9)*h))/h)/h*h)/h)*(h*h*h**(-3/32))**(-5/8) assuming h is positive. h**(-30137/2304) Simplify o*o**3*o**(-8)*o**(-1)*o/o**(-4)*((((o*o*(o*(o/(o*((o*o**(2/3)*o)/o)/o*o)*o*o)/o)/o)/o)/o)**(1/4))**(2/33) assuming o is positive. o**(-1/99) Simplify h**(-47)/h**49*h**(5/3)/h*h/h**(8/9) assuming h is positive. h**(-857/9) Simplify ((y/(y/(y**(2/5)/y))*y)**(-12)*(y*y*y**1*y*y)**(4/3))/(y**6*y**3*(y/(y/(((y/(y**(-1)*y))/y)/y*y*y*y)*y*y))**(-4/5)) assuming y is positive. y**(-107/15) Simplify (k**(2/39)/k**(-1)*k**(-2)/k*k/(k*k**(-11)))**(-4/5) assuming k is positive. k**(-1412/195) Simplify (o**4)**(-25)/((o/(o**(3/7)*o*o))/o*o**(-2/39)*o) assuming o is positive. o**(-26896/273) Simplify ((c**(-2/5)/c**7)/(c**(-2/7)*c*c**5))/((c/(c/(c**(2/5)*c)*c*c))**(1/17)/(c/((c/c**(-3/2))/c)*(c/(c**0/c))/c)) assuming c is positive. c**(-14969/1190) Simplify ((((o/(o**(-1)/o)*o)/o)**(4/21)*o**(2/13)*o**(-1/4)/o*o)**24)**(5/2) assuming o is positive. o**(2595/91) Simplify ((c**(1/4))**(-50))**(-2/7)/((c**(-2/5))**(1/17))**(-9/7) assuming c is positive. c**(301/85) Simplify (h**16*h**(-1)*h*(h/h**(-7))**(-1/7))**(-3/10) assuming h is positive. h**(-156/35) Simplify (u**(-3)/u*u/u**(-2/17)*u)**(-5/3)/(u**(-1/3)*u**(-7/5))**(19/4) assuming u is positive. u**(1933/170) Simplify b*b/(b/b**(-13))*b*b*b**(-40)/b*b*b**(-3)/(b/(((b**(2/35)/b)/b)/b*b)) assuming b is positive. b**(-1958/35) Simplify ((z*z*z**(1/2)*z**6*z)/((z/(z/(z*z**(2/15))))/(z*z**7)))/(z**(2/9)*z/z**8)**(3/7) assuming z is positive. z**(1349/70) Simplify (y**(16/9)*y/(y/(y**28*y)*y*y)*y**(-9/10)/((y/(y**(9/8)/y)*y*y)/y))**(-5) assuming y is positive. y**(-9361/72) Simplify ((t/(t**24*t)*t)/t**11*t/((t*t/t**(1/3))/t)*t**(1/8)*t)**(11/2) assuming t is positive. t**(-8591/48) Simplify ((b**(-1/8))**(4/21)*((b**(-2/13)*b)/b)/b*b*b/(b*b*b*b**(-11/3)*b*b))**(-14) assuming b is positive. b**(93/13) Simplify ((((t**(-2/5))**(-18/13))**(14/5))**29)**(2/23) assuming t is positive. t**(29232/7475) Simplify (((o*o**(-27)*o*o*o**(-3/11))**(3/43))**29)**(-32) assuming o is positive. o**(743328/473) Simplify ((r**6)**(-37)*(r/r**12)/r*r*r*r**(2/3)/r)**(-34) assuming r is positive. r**(23698/3) Simplify ((((k/(k/(k/(k/(k*k**(-2/3))*k*k*k))))**(-4/17))**(-9/5))**(-1/46))**(-2/59) assuming k is positive. k**(-96/115345) Simplify ((p*p*(p**(-1/8)*p)/p*p*p*p)/p**(3/5)*((p/(p*p/(p*p/p**(-2)*p)))/p)**(-47))/((p/(p*p**(-1/4)))**(-3/19))**(-49) assuming p is positive. p**(-105381/760) Simplify (o/(o/(o/(o**(-25/6)*o))))**(-44)/(o**35*o/(o*o**(-3))) assuming o is positive. o**(-664/3) Simplify (z/(z**(-7)/z)*z**(-1))**(-22/7)/(((z*z*z*z*z*z**(-1/3)*z*z)/z)**(-44))**(1/10) assuming z is positive. z**(-22/105) Simplify ((z/(z/(z**(-6/7)/z*z)))**34*z*z**(1/2)*z*z**(-3/4))**(-1/16) assuming z is positive. z**(767/448) Simplify (((m*m**2*m*m)/m)**(-9/8)/(m**(1/6))**(-48))**(4/21) assuming m is positive. m**(2/3) Simplify (p*p/(p/(p*p**2))*p*p**(1/20))**12/(p**(-7/2)*p**7*p**(-1)*p**(2/15)) assuming p is positive. p**(1739/30) Simplify ((p**1)**(16/3)/(p**3/p**(-1)))/((p/(p**2*p))**(-1))**(-44/3) assuming p is positive. p**(92/3) Simplify (z*z*z*z*z*z/(z*z**6*z)*z*z*z**(-1/4)*(z*z**(-1/5))/(z*z**(-1/4)*z))/(z**1/(z*z**(-6))*(z**(-5)/z)/(z**(-1/2)*z)) assuming z is positive. z**(-7/10) Simplify (m/(m*m**24))/(m/((((m**(-5)/m)/m)/m*m)/m))*(m**(11/7))**(1/20) assuming m is positive. m**(-4609/140) Simplify ((h/(h*h*h*h/((h/(h/h**(-1/2)))/h*h)*h*h*h)*(h**5/h)/h*h*(h/h**(-14))/(h/((h*(h*h/h**11)/h)/h)))**31)**(2/151) assuming h is positive. h**(93/151) Simplify ((d**(1/10))**22/(d*d/(d/(d*d**(-4)/d)))**(14/9))**(-11/3) assuming d is positive. d**(-1133/45) Simplify (u*u*((u**0*u)/u*u)/u*u)/((u/u**(-3))/u)*(u**(-1/3)*u)**(3/5)*(u**(-1/2)/(u/(u/(u*u**0))))/((u/(u**(5/6)*u)*u)/u**(-6)) assuming u is positive. u**(-109/15) Simplify (((z/(z**(2/17)*z))/(z/(z/z**(-3))))/(z/z**6*z*z**(2/7)))/(z*z**(2/15)*z*z*z*z/(z*z/((z/z**(-3/4))/z)))**(-12) assuming z is positive. z**(31652/595) Simplify (v**7/v**(3/2))**(-1/47)*(v**(-1/2)*v/v**(-6))**39 assuming v is positive. v**(11909/47) Simplify (h**(-14)/(h/h**(1/15)))**(-5/2)/((h**0)**(2/69))**45 assuming h is positive. h**(112/3) Simplify ((s**(-1/7)/s)**(-32)*(s**(-16))**49)**(-1/2) assuming s is positive. s**(2616/7) Simplify ((o/(o/(o*o**2*o))*o)**(4/5))**15*(o**(-2/9)*o)**(-48)/(o**2/o**(-8)) assuming o is positive. o**(38/3) Simplify ((g*g/(g**(-8)*g*g))/(g**4/g)*g*g**(6/7)*g*g*g**7)/((g/g**(1/2))**(-12))**(5/8) assuming g is positive. g**(549/28) Simplify ((k*k**(-10))/(k/((k/k**(-12)*k*k)/k)*k))**21/(k**12*k/(k**(-9)*k))**9 assuming k is positive. k**(-126) Simplify ((a**(-25)*a*a**(2/33)*a*a*a)/(a**(-1/34)*a**2))**(-4) assuming a is positive. a**(51410/561) Simplify ((z/((z**0/z)/z))**(3/2)/(z**(-6)*z*z*z**(-2/9)))/((z/z**5*z/z**4*z)/(z*z*z**2/z*z/(z**(-2/15)/z))) assuming z is positive. z**(1787/90) Simplify ((((q*q**(-3/2))/q*q)**(-2)*q/((q**(-10)/q*q)/q)*q/(((q*q**(4/3)*q)/q)/q))**(-11/2))**28 assuming q is positive. q**(-5852/3) Simplify ((g*g**(-1))**(-13/7)/(((g*g*g**3)/g*g)/(g/g**5*g)))/(g**(-1/2)/(g/(g*g*(g/g**(-2)*g)/g)))**(2/33) assuming g is positive. g**(-271/33) Simplify (((l/(l/(((l**(-11)/l)/l)/l)*l))/((l*l**(-3)*l)/l)*(l**(2/3)*l)**(-4/31))**(-47))**(2/5) assuming l is positive. l**(115526/465) Simplify ((d/(d*d**(2/43)))/d**(-13))/(d*d**(-38)/d*d*d*d**(-6/11)) assuming d is positive. d**(23413/473) Simplify ((y**2)**(-1/3)/(y**(1/2))**40)**(-7/9) assuming y is positive. y**(434/27) Simplify (t**0)**(2/51)/(t/(t**6*t)*t*t**(-2/3)*t)*((t*t**6*t)/((t*t**2*t)/t))/(t/t**2*t*(t**(-4/9)*t)/t) assuming t is positive. t**(91/9) Simplify l**(3/4)*l*l**(-7)/l*(l*l/(l**(-2/5)/l))**(2/7)*(l**1*l)**(3/14)/(l**(1/3)/l**(-2/21)) assuming l is positive. l**(-739/140) Simplify ((t**(1/2))**17/((t*t*t*t*t*(t**(-4)*t)/t)/(t/(t/(t*t*t/t**(-4/5))*t))))/(((t**(-1/4)/t)/t)**(-14/11))**32 assuming t is positive. t**(-8947/110) Simplify (((y*y**(-1/4))/y*y)/(y**(-1/4)*y*y))**(-8/13)/(y**(3/4)/y**(-5/4))**47 assuming y is positive. y**(-1214/13) Simplify ((g**2/g*(g/g**4*g)/g*g*(g**(-2/15)/g)/(g*(g/(g*g**(-2/5)/g))/g))**(-42/11))**(1/8) assuming g is positive. g**(371/220) Simplify ((j/(j*j**(-9)*j)*j**5*(j/j**(-2/3))/((j**(-3)/j)/j*j))**(-3/20))**(-2/23) assuming j is positive. j**(28/115) Simplify ((d*d**1)/(d**(-3)/d)*d**(-2)/d*d**(-7)/d)/((d**1*d*d**(-1/3))/(d**(-5)/(d*d**(4/5)*d*d))) assuming d is positive. d**(-232/15) Simplify (x/x**2*x*x**(2/5)*x*(x/x**(-2/7))**(-4/3))/((x**(-1/2))**(-3/20)*x**(-4)*x/(x*x*x**(-4/5))) assuming x is positive. x**(1067/280) Simplify (o**(-33)/(((o**(28/3)*o)/o)/o))/((((o*o*o/(o/(o**(-1/2)*o*o)))/o)/o)/o*o/((o*o**(-19)*o)/o)) assuming o is positive. o**(-365/6) Simplify (((h*h**(-2/11)*h*h*h/h**(8/5))/(h**(3/8)*h/h**(-2/7)))**(-20))**34 assuming h is positive. h**(-29189/77) Simplify ((s*s**3*s*s/(s*s/((s**2/s*s)/s*s))*(s/((s/s**1)/s))**(19/5))**(6/19))**(-30/11) assuming s is positive. s**(-2448/209) Simplify (s*s/(s/(((s*s**(2/9)/s)/s*s)/s)))**(-20/3)/(s**4*s/(s*s/s**5*s))*((s*s/(s/(s**4*s*s))*s)/(s/(((s*s**10/s)/s)/s)))**(4/3) assuming s is positive. s**(311/27) Simplify (h**(-3/8)/(h/(h/((h/(h*h/((h*h*(h**(-15/8)*h)/h*h)/h)*h))/h*h))))/((h/h**27)/h**7) assuming h is positive. h**(69/2) Simplify l*l/(l**(-25/6)*l)*l*l**9*(((l**(-9)*l)/l)/l)/(l*(l/(l*l**34))/l*l*l) assuming l is positive. l**(223/6) Simplify ((y**0*y)**(-4/17)*(y**0*y*y)**(1/17))/((y**(-1))**22*y**(2/7)*y**(-2/7)) assuming y is positive. y**(372/17) Simplify ((((k/(k/(k**(2/35)*k*k*k)))/k)/k*k)/k**9)**12*(k**1)**(-4/31)*k**8*k**(2/13)/k assuming k is positive. k**(-1076063/14105) Simplify f**(-3/7)/f**(-8)*(f**(-2/5))**(1/7)*(f**(-1/4)*f)**(-47)*(f*f**(-2/15)/f*f)/(f*f*f**1) assuming f is positive. f**(-2509/84) Simplify ((q**(-6)/q)/q
{ "pile_set_name": "DM Mathematics" }
digit of 5216? 2 What is the ten thousands digit of 23118? 2 What is the hundreds digit of 1984? 9 What is the tens digit of 2310? 1 What is the units digit of 3378? 8 What is the units digit of 64529? 9 What is the thousands digit of 21654? 1 What is the units digit of 11862? 2 What is the hundreds digit of 343? 3 What is the units digit of 1518? 8 What is the thousands digit of 6229? 6 What is the tens digit of 36552? 5 What is the hundreds digit of 16311? 3 What is the thousands digit of 53430? 3 What is the tens digit of 390? 9 What is the units digit of 731? 1 What is the thousands digit of 11638? 1 What is the hundreds digit of 5845? 8 What is the ten thousands digit of 51109? 5 What is the hundreds digit of 1693? 6 What is the units digit of 242? 2 What is the units digit of 71142? 2 What is the hundreds digit of 650? 6 What is the tens digit of 726? 2 What is the tens digit of 4030? 3 What is the thousands digit of 16177? 6 What is the tens digit of 120993? 9 What is the thousands digit of 1280? 1 What is the hundreds digit of 172209? 2 What is the hundreds digit of 552? 5 What is the tens digit of 34263? 6 What is the tens digit of 87? 8 What is the thousands digit of 6661? 6 What is the units digit of 23360? 0 What is the ten thousands digit of 15628? 1 What is the thousands digit of 9075? 9 What is the thousands digit of 1045? 1 What is the tens digit of 230? 3 What is the thousands digit of 5885? 5 What is the thousands digit of 34621? 4 What is the units digit of 25? 5 What is the tens digit of 95556? 5 What is the hundreds digit of 7678? 6 What is the tens digit of 199? 9 What is the thousands digit of 23560? 3 What is the ten thousands digit of 33493? 3 What is the units digit of 786? 6 What is the units digit of 92486? 6 What is the thousands digit of 6497? 6 What is the units digit of 171? 1 What is the hundreds digit of 29488? 4 What is the units digit of 53713? 3 What is the thousands digit of 1136? 1 What is the thousands digit of 7557? 7 What is the thousands digit of 2679? 2 What is the tens digit of 72? 7 What is the tens digit of 1082? 8 What is the tens digit of 5413? 1 What is the ten thousands digit of 34280? 3 What is the tens digit of 27127? 2 What is the hundreds digit of 10674? 6 What is the hundreds digit of 12438? 4 What is the ten thousands digit of 24377? 2 What is the thousands digit of 4983? 4 What is the units digit of 5675? 5 What is the hundreds digit of 3750? 7 What is the units digit of 86907? 7 What is the thousands digit of 1296? 1 What is the tens digit of 4117? 1 What is the hundreds digit of 7743? 7 What is the ten thousands digit of 15688? 1 What is the units digit of 15403? 3 What is the thousands digit of 1116? 1 What is the units digit of 886? 6 What is the units digit of 28694? 4 What is the thousands digit of 6105? 6 What is the tens digit of 1296? 9 What is the tens digit of 7739? 3 What is the thousands digit of 15396? 5 What is the thousands digit of 1109? 1 What is the tens digit of 22321? 2 What is the tens digit of 5091? 9 What is the ten thousands digit of 28308? 2 What is the thousands digit of 123883? 3 What is the ten thousands digit of 11451? 1 What is the hundreds digit of 1375? 3 What is the tens digit of 26845? 4 What is the tens digit of 8828? 2 What is the hundreds digit of 633? 6 What is the tens digit of 601? 0 What is the units digit of 7419? 9 What is the hundreds digit of 3319? 3 What is the tens digit of 61? 6 What is the units digit of 2815? 5 What is the tens digit of 3218? 1 What is the ten thousands digit of 17992? 1 What is the tens digit of 11944? 4 What is the tens digit of 133? 3 What is the tens digit of 161? 6 What is the tens digit of 6812? 1 What is the tens digit of 1374? 7 What is the units digit of 18002? 2 What is the tens digit of 41657? 5 What is the hundreds digit of 11416? 4 What is the thousands digit of 1150? 1 What is the tens digit of 464? 6 What is the units digit of 21300? 0 What is the hundreds digit of 58746? 7 What is the units digit of 25606? 6 What is the units digit of 2482? 2 What is the hundreds digit of 131596? 5 What is the hundreds digit of 947? 9 What is the hundred thousands digit of 114042? 1 What is the units digit of 5542? 2 What is the units digit of 3480? 0 What is the tens digit of 329? 2 What is the tens digit of 8087? 8 What is the thousands digit of 2197? 2 What is the units digit of 9512? 2 What is the tens digit of 10942? 4 What is the hundreds digit of 1283? 2 What is the hundreds digit of 1409? 4 What is the thousands digit of 33891? 3 What is the thousands digit of 5019? 5 What is the units digit of 780? 0 What is the thousands digit of 20297? 0 What is the units digit of 2708? 8 What is the thousands digit of 15748? 5 What is the tens digit of 9403? 0 What is the thousands digit of 1108? 1 What is the tens digit of 8130? 3 What is the units digit of 154? 4 What is the hundred thousands digit of 101665? 1 What is the tens digit of 428? 2 What is the hundreds digit of 320? 3 What is the tens digit of 6980? 8 What is the hundreds digit of 572? 5 What is the hundreds digit of 28472? 4 What is the units digit of 8091? 1 What is the thousands digit of 90466? 0 What is the hundreds digit of 999? 9 What is the tens digit of 81291? 9 What is the hundreds digit of 1108? 1 What is the units digit of 8771? 1 What is the tens digit of 5523? 2 What is the tens digit of 22645? 4 What is the thousands digit of 25373? 5 What is the units digit of 1324? 4 What is the tens digit of 1767? 6 What is the hundreds digit of 1041? 0 What is the tens digit of 116? 1 What is the units digit of 168? 8 What is the units digit of 2539? 9 What is the thousands digit of 11666? 1 What is the units digit of 523? 3 What is the hundreds digit of 1039? 0 What is the thousands digit of 23676? 3 What is the units digit of 838? 8 What is the hundreds digit of 255? 2 What is the units digit of 34193? 3 What is the units digit of 28381? 1 What is the units digit of 558? 8 What is the thousands digit of 9500? 9 What is the tens digit of 905? 0 What is the hundreds digit of 14172? 1 What is the hundreds digit of 3740? 7 What is the tens digit of 380? 8 What is the hundreds digit of 64212? 2 What is the hundreds digit of 1734? 7 What is the hundreds digit of 2423? 4 What is the tens digit of 1459? 5 What is the thousands digit of 36368? 6 What is the hundreds digit of 57199? 1 What is the thousands digit of 80585? 0 What is the tens digit of 5791? 9 What is the thousands digit of 1861? 1 What is the hundreds digit of 2691? 6 What is the ten thousands digit of 143056? 4 What is the hundreds digit of 65373? 3 What is the hundreds digit of 511? 5 What is the tens digit of 86890? 9 What is the tens digit of 545? 4 What is the thousands digit of 1913? 1 What is the tens digit of 64860? 6 What is the tens digit of 64? 6 What is the thousands digit of 22020? 2 What is the ten thousands digit of 33492? 3 What is the hundreds digit of 1543? 5 What is the hundreds digit of 23324? 3 What is the units digit of 9092? 2 What is the hundreds digit of 494? 4 What is the units digit of 1705? 5 What is the units digit of 8158? 8 What is the units digit of 1180? 0 What is the units digit of 20560? 0 What is the tens digit of 11169? 6 What is the units digit of 8635? 5 What is the units digit of 463? 3 What is the hundreds digit of 37397? 3 What is the hundreds digit of 10396? 3 What is the ten thousands digit of 10981? 1 What is the units digit of 20785? 5 What is the tens digit of 10804? 0 What is the hundreds digit of 23786? 7 What is the thousands digit of 9365? 9 What is the tens digit of 90521? 2 What is the tens digit of 1218? 1 What is the thousands digit of 1720? 1 What is the ten thousands digit of 51440? 5 What is the units digit of 4782? 2 What is the hundreds digit of 2273? 2 What is the tens digit of 2507? 0 What is the thousands digit of 3599? 3 What is the tens digit of 104247? 4 What is the thousands digit of 21506? 1 What is the tens digit of 959? 5 What is the thousands digit of 3810? 3 What is the thousands digit of 1811? 1 What is the ten thousands digit of 166230? 6 What is the units digit of 3831? 1 What is the units digit of 893? 3 What is the thousand
{ "pile_set_name": "DM Mathematics" }